%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SWW474+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 00:30:06 EDT 2022

% Result   : Theorem 2.11s 2.29s
% Output   : CNFRefutation 2.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :  436
% Syntax   : Number of formulae    : 3805 ( 836 unt;   0 def)
%            Number of atoms       : 9869 (2593 equ)
%            Maximal formula atoms :   42 (   2 avg)
%            Number of connectives : 10619 (4555   ~;4889   |; 277   &)
%                                         ( 106 <=>; 792  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :  255 ( 255 usr;  45 con; 0-3 aty)
%            Number of variables   : 8403 ( 946 sgn2783   !;  14   ?)

% 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,X3] :
      ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X8)),X3)),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X8))),bot_bo620288102e_bool)))
     => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X8)),bot_bo620288102e_bool))) ),
    file('<stdin>',fact_7_MGT__BodyN) ).

fof(c_0_1,axiom,
    ! [X14,X9,X11] :
      ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X11))
     => ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X11),X9))
       => ( hBOOL(hAPP_f166538662l_bool(X14,bot_bo535777328l_bool))
         => ( ! [X31,X32] :
                ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X32))
               => ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X31),X9))
                 => ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X31),X32))
                   => ( hBOOL(hAPP_f166538662l_bool(X14,X32))
                     => hBOOL(hAPP_f166538662l_bool(X14,insert1556680138e_bool(X31,X32))) ) ) ) )
           => hBOOL(hAPP_f166538662l_bool(X14,X11)) ) ) ) ),
    file('<stdin>',fact_293_finite__subset__induct) ).

fof(c_0_2,axiom,
    ! [X14,X9,X11] :
      ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
     => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X11),X9))
       => ( hBOOL(hAPP_f1935102916l_bool(X14,bot_bo1649642514l_bool))
         => ( ! [X31,X32] :
                ( ( is_fun_pname_bool(X31)
                  & is_fun1661590463l_bool(X32) )
               => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X32))
                 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X31),X9))
                   => ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X31),X32))
                     => ( hBOOL(hAPP_f1935102916l_bool(X14,X32))
                       => hBOOL(hAPP_f1935102916l_bool(X14,insert1325755072e_bool(X31,X32))) ) ) ) ) )
           => hBOOL(hAPP_f1935102916l_bool(X14,X11)) ) ) ) ),
    file('<stdin>',fact_292_finite__subset__induct) ).

fof(c_0_3,axiom,
    ! [X14,X9,X11] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X11))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X11),X9))
       => ( hBOOL(hAPP_f971112728l_bool(X14,bot_bo620288102e_bool))
         => ( ! [X31,X32] :
                ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X32))
               => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X31),X9))
                 => ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X31),X32))
                   => ( hBOOL(hAPP_f971112728l_bool(X14,X32))
                     => hBOOL(hAPP_f971112728l_bool(X14,insert1415133716_state(X31,X32))) ) ) ) )
           => hBOOL(hAPP_f971112728l_bool(X14,X11)) ) ) ) ),
    file('<stdin>',fact_291_finite__subset__induct) ).

fof(c_0_4,axiom,
    ! [X14,X9,X11] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X11),X9))
       => ( hBOOL(hAPP_f1664156314l_bool(X14,bot_bo844097828e_bool))
         => ( ! [X31,X32] :
                ( ( is_pname(X31)
                  & is_fun_pname_bool(X32) )
               => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X32))
                 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X31),X9))
                   => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X31),X32))
                     => ( hBOOL(hAPP_f1664156314l_bool(X14,X32))
                       => hBOOL(hAPP_f1664156314l_bool(X14,insert_pname(X31,X32))) ) ) ) ) )
           => hBOOL(hAPP_f1664156314l_bool(X14,X11)) ) ) ) ),
    file('<stdin>',fact_290_finite__subset__induct) ).

fof(c_0_5,axiom,
    ! [X15,X3] :
      ( hBOOL(hoare_165779456gleton)
     => ( ! [X21] :
            ( is_pname(X21)
           => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),dom_pname_com(body)))
             => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X21)),bot_bo620288102e_bool))) ) )
       => ( hBOOL(wt(X15))
         => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X15),bot_bo620288102e_bool))) ) ) ),
    file('<stdin>',fact_287_MGF__lemma1) ).

fof(c_0_6,axiom,
    ! [X17,X9,X19] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_2003357581_state(X17,X9)))
       => ? [X35] :
            ( is_fun_pname_bool(X35)
            & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X9))
            & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35))
            & X19 = image_2003357581_state(X17,X35) ) ) ),
    file('<stdin>',fact_297_finite__subset__image) ).

fof(c_0_7,axiom,
    ! [X20,X17,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),image_2003357581_state(X17,X9)))
     => ~ ! [X21] :
            ( is_pname(X21)
           => ( X20 = hAPP_p1422361149_state(X17,X21)
             => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9)) ) ) ),
    file('<stdin>',fact_289_imageE) ).

fof(c_0_8,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_2003357581_state(X17,X9)))
    <=> ? [X27] :
          ( is_fun_pname_bool(X27)
          & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X27),X9))
          & X19 = image_2003357581_state(X17,X27) ) ),
    file('<stdin>',fact_269_subset__image__iff) ).

fof(c_0_9,axiom,
    ! [X23,X17,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X23),image_2003357581_state(X17,X9)))
    <=> ? [X21] :
          ( is_pname(X21)
          & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
          & X23 = hAPP_p1422361149_state(X17,X21) ) ),
    file('<stdin>',fact_212_image__iff) ).

fof(c_0_10,axiom,
    ! [X14,X13] :
      ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X14),X13))))
    <=> ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X14)))
        & hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X13))) ) ),
    file('<stdin>',fact_216_finite__Collect__disjI) ).

fof(c_0_11,axiom,
    ! [X14,X13] :
      ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X14),X13))))
    <=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X14)))
        & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X13))) ) ),
    file('<stdin>',fact_215_finite__Collect__disjI) ).

fof(c_0_12,axiom,
    ! [X14,X13] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X14),X13))))
    <=> ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X14)))
        & hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X13))) ) ),
    file('<stdin>',fact_214_finite__Collect__disjI) ).

fof(c_0_13,axiom,
    ! [X14,X13] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X14),X13))))
    <=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X14)))
        & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X13))) ) ),
    file('<stdin>',fact_213_finite__Collect__disjI) ).

fof(c_0_14,axiom,
    ! [X12,X14] : insert1556680138e_bool(X12,collec1823980261e_bool(X14)) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fimplies,cOMBB_1522210668e_bool(fNot,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X12))),X14)),
    file('<stdin>',fact_185_insert__Collect) ).

fof(c_0_15,axiom,
    ! [X12,X14] : insert1325755072e_bool(X12,collec1974731493e_bool(X14)) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X12))),X14)),
    file('<stdin>',fact_184_insert__Collect) ).

fof(c_0_16,axiom,
    ! [X12,X14] : insert1415133716_state(X12,collec307967673_state(X14)) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X12))),X14)),
    file('<stdin>',fact_183_insert__Collect) ).

fof(c_0_17,axiom,
    ! [X12,X14] : insert_pname(X12,collect_pname(X14)) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X12))),X14)),
    file('<stdin>',fact_182_insert__Collect) ).

fof(c_0_18,axiom,
    ! [X16,X9,X19] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X16,X9)),X19))
    <=> ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X19))
        & hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19)) ) ),
    file('<stdin>',fact_263_insert__subset) ).

fof(c_0_19,axiom,
    ! [X16,X9,X19] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X16,X9)),X19))
    <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X19))
        & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19)) ) ),
    file('<stdin>',fact_262_insert__subset) ).

fof(c_0_20,axiom,
    ! [X13,X14] :
      ( ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X14)))
        | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X13))) )
     => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X14),X13)))) ),
    file('<stdin>',fact_54_finite__Collect__conjI) ).

fof(c_0_21,axiom,
    ! [X13,X14] :
      ( ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X14)))
        | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X13))) )
     => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,X14),X13)))) ),
    file('<stdin>',fact_53_finite__Collect__conjI) ).

fof(c_0_22,axiom,
    ! [X13,X14] :
      ( ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(X14)))
        | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(X13))) )
     => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(cOMBS_1358309691l_bool(cOMBB_404111180l_bool(fconj,X14),X13)))) ),
    file('<stdin>',fact_52_finite__Collect__conjI) ).

fof(c_0_23,axiom,
    ! [X13,X14] :
      ( ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(X14)))
        | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(X13))) )
     => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(cOMBS_811933079l_bool(cOMBB_689948150l_bool(fconj,X14),X13)))) ),
    file('<stdin>',fact_51_finite__Collect__conjI) ).

fof(c_0_24,axiom,
    ! [X13,X14] :
      ( ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X14)))
        | hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X13))) )
     => hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,X14),X13)))) ),
    file('<stdin>',fact_50_finite__Collect__conjI) ).

fof(c_0_25,axiom,
    ! [X13,X14] :
      ( ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X14)))
        | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X13))) )
     => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X14),X13)))) ),
    file('<stdin>',fact_49_finite__Collect__conjI) ).

fof(c_0_26,axiom,
    ! [X19,X9] :
      ( ! [X21] :
          ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X9))
         => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X19)) )
     => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19)) ),
    file('<stdin>',fact_296_subsetI) ).

fof(c_0_27,axiom,
    ! [X19,X9] :
      ( ! [X21] :
          ( is_pname(X21)
         => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
           => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X19)) ) )
     => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19)) ),
    file('<stdin>',fact_295_subsetI) ).

fof(c_0_28,axiom,
    ! [X19,X16,X9] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),insert1415133716_state(X16,X19)))
      <=> hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19)) ) ),
    file('<stdin>',fact_261_subset__insert) ).

fof(c_0_29,axiom,
    ! [X19,X16,X9] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),insert_pname(X16,X19)))
      <=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19)) ) ),
    file('<stdin>',fact_260_subset__insert) ).

fof(c_0_30,axiom,
    ! [X17,X9,X19] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
     => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,image_2003357581_state(X17,X9)),image_2003357581_state(X17,X19))) ),
    file('<stdin>',fact_268_image__mono) ).

fof(c_0_31,axiom,
    ! [X12,X22,X26] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X22),X26))
     => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X12,X22)),insert1415133716_state(X12,X26))) ),
    file('<stdin>',fact_251_insert__mono) ).

fof(c_0_32,axiom,
    ! [X12,X22,X26] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X26))
     => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X12,X22)),insert_pname(X12,X26))) ),
    file('<stdin>',fact_250_insert__mono) ).

fof(c_0_33,axiom,
    ! [X17,X16,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
     => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_p1422361149_state(X17,X16)),image_2003357581_state(X17,X9))) ),
    file('<stdin>',fact_211_imageI) ).

fof(c_0_34,axiom,
    ! [X16,X9,X19] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
       => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X19)) ) ),
    file('<stdin>',fact_201_in__mono) ).

fof(c_0_35,axiom,
    ! [X16,X9,X19] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
       => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X19)) ) ),
    file('<stdin>',fact_200_in__mono) ).

fof(c_0_36,axiom,
    ! [X19,X16,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
       => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X19)) ) ),
    file('<stdin>',fact_199_set__rev__mp) ).

fof(c_0_37,axiom,
    ! [X19,X16,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
       => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X19)) ) ),
    file('<stdin>',fact_198_set__rev__mp) ).

fof(c_0_38,axiom,
    ! [X16,X9,X19] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
       => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X19)) ) ),
    file('<stdin>',fact_197_set__mp) ).

fof(c_0_39,axiom,
    ! [X16,X9,X19] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
       => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X19)) ) ),
    file('<stdin>',fact_196_set__mp) ).

fof(c_0_40,axiom,
    ! [X22,X9,X19] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),X22))
       => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X22)) ) ),
    file('<stdin>',fact_195_subset__trans) ).

fof(c_0_41,axiom,
    ! [X22,X9,X19] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X22))
       => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X22)) ) ),
    file('<stdin>',fact_194_subset__trans) ).

fof(c_0_42,axiom,
    ! [X15,X9,X19] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9))
       => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19)) ) ),
    file('<stdin>',fact_123_subsetD) ).

fof(c_0_43,axiom,
    ! [X15,X9,X19] :
      ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X9),X19))
     => ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X15),X9))
       => hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X15),X19)) ) ),
    file('<stdin>',fact_122_subsetD) ).

fof(c_0_44,axiom,
    ! [X15,X9,X19] :
      ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X9),X19))
     => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X15),X9))
       => hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X15),X19)) ) ),
    file('<stdin>',fact_121_subsetD) ).

fof(c_0_45,axiom,
    ! [X15,X9,X19] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X15),X9))
       => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X15),X19)) ) ),
    file('<stdin>',fact_120_subsetD) ).

fof(c_0_46,axiom,
    ! [X4,X3,X7] :
      ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(X7,bot_bo620288102e_bool)))
     => ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4))
       => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(X7,X4))) ) ),
    file('<stdin>',fact_5_hoare__derivs_Oinsert) ).

fof(c_0_47,axiom,
    ! [X12,X20,X9] :
      ( ( is_pname(X12)
        & is_pname(X20) )
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),insert_pname(X20,X9)))
      <=> ( X12 = X20
          | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9)) ) ) ),
    file('<stdin>',fact_176_insert__iff) ).

fof(c_0_48,axiom,
    ! [X12,X20,X9] :
      ( ( is_pname(X12)
        & is_pname(X20) )
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),insert_pname(X20,X9)))
       => ( X12 != X20
         => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9)) ) ) ),
    file('<stdin>',fact_115_insertE) ).

fof(c_0_49,axiom,
    ! [X12,X20,X9] :
      ( ( is_fun_pname_bool(X12)
        & is_fun_pname_bool(X20) )
     => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),insert1325755072e_bool(X20,X9)))
       => ( X12 != X20
         => hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),X9)) ) ) ),
    file('<stdin>',fact_113_insertE) ).

fof(c_0_50,axiom,
    ! [X21,X24] : insert1556680138e_bool(X21,X24) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X21)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X24))),
    file('<stdin>',fact_220_insert__compr__raw) ).

fof(c_0_51,axiom,
    ! [X21,X24] : insert1325755072e_bool(X21,X24) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X21)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X24))),
    file('<stdin>',fact_219_insert__compr__raw) ).

fof(c_0_52,axiom,
    ! [X21,X24] : insert1415133716_state(X21,X24) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X21)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X24))),
    file('<stdin>',fact_218_insert__compr__raw) ).

fof(c_0_53,axiom,
    ! [X21,X24] : insert_pname(X21,X24) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X21)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X24))),
    file('<stdin>',fact_217_insert__compr__raw) ).

fof(c_0_54,axiom,
    ! [X12,X19] : insert1556680138e_bool(X12,X19) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X12)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X19))),
    file('<stdin>',fact_189_insert__compr) ).

fof(c_0_55,axiom,
    ! [X12,X19] : insert1325755072e_bool(X12,X19) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X12)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X19))),
    file('<stdin>',fact_188_insert__compr) ).

fof(c_0_56,axiom,
    ! [X12,X19] : insert1415133716_state(X12,X19) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X12)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X19))),
    file('<stdin>',fact_187_insert__compr) ).

fof(c_0_57,axiom,
    ! [X12,X19] : insert_pname(X12,X19) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X12)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X19))),
    file('<stdin>',fact_186_insert__compr) ).

fof(c_0_58,axiom,
    ! [X12,X20,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),insert1415133716_state(X20,X9)))
    <=> ( X12 = X20
        | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),X9)) ) ),
    file('<stdin>',fact_177_insert__iff) ).

fof(c_0_59,axiom,
    ! [X12,X20,X9] :
      ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),insert1556680138e_bool(X20,X9)))
     => ( X12 != X20
       => hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),X9)) ) ),
    file('<stdin>',fact_114_insertE) ).

fof(c_0_60,axiom,
    ! [X12,X20,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),insert1415133716_state(X20,X9)))
     => ( X12 != X20
       => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),X9)) ) ),
    file('<stdin>',fact_112_insertE) ).

fof(c_0_61,axiom,
    ! [X20,X17,X16,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
     => ( X20 = hAPP_p1422361149_state(X17,X16)
       => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),image_2003357581_state(X17,X9))) ) ),
    file('<stdin>',fact_210_rev__image__eqI) ).

fof(c_0_62,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_p1422361149_state(X17,X16)
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
       => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),image_2003357581_state(X17,X9))) ) ),
    file('<stdin>',fact_134_image__eqI) ).

fof(c_0_63,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_f560369737_pname(X17,X16)
     => ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X16),X9))
       => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),image_187965177_pname(X17,X9))) ) ),
    file('<stdin>',fact_133_image__eqI) ).

fof(c_0_64,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_f1297739591_pname(X17,X16)
     => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),X9))
       => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),image_1283814551_pname(X17,X9))) ) ),
    file('<stdin>',fact_132_image__eqI) ).

fof(c_0_65,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_pname_pname(X17,X16)
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
       => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),image_pname_pname(X17,X9))) ) ),
    file('<stdin>',fact_131_image__eqI) ).

fof(c_0_66,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_H1621176307_pname(X17,X16)
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
       => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),image_54689091_pname(X17,X9))) ) ),
    file('<stdin>',fact_130_image__eqI) ).

fof(c_0_67,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_f1387463497_state(X17,X16)
     => ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X16),X9))
       => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),image_18964633_state(X17,X9))) ) ),
    file('<stdin>',fact_129_image__eqI) ).

fof(c_0_68,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_f888949707_state(X17,X16)
     => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),X9))
       => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),image_516545147_state(X17,X9))) ) ),
    file('<stdin>',fact_128_image__eqI) ).

fof(c_0_69,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_p442853985e_bool(X17,X16)
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
       => hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X20),image_70449425e_bool(X17,X9))) ) ),
    file('<stdin>',fact_127_image__eqI) ).

fof(c_0_70,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_p61793385e_bool(X17,X16)
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
       => hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X20),image_47868345e_bool(X17,X9))) ) ),
    file('<stdin>',fact_126_image__eqI) ).

fof(c_0_71,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_H1049623551e_bool(X17,X16)
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
       => hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X20),image_1828608335e_bool(X17,X9))) ) ),
    file('<stdin>',fact_125_image__eqI) ).

fof(c_0_72,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_H356885323e_bool(X17,X16)
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
       => hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X20),image_2131964411e_bool(X17,X9))) ) ),
    file('<stdin>',fact_124_image__eqI) ).

fof(c_0_73,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
     => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),image_2131964411e_bool(X17,X9)))
       => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19)) ) ),
    file('<stdin>',fact_98_finite__surj) ).

fof(c_0_74,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
     => ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X19),image_1828608335e_bool(X17,X9)))
       => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X19)) ) ),
    file('<stdin>',fact_97_finite__surj) ).

fof(c_0_75,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),image_54689091_pname(X17,X9)))
       => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
    file('<stdin>',fact_96_finite__surj) ).

fof(c_0_76,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
     => ( hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X19),image_1761575943l_bool(X17,X9)))
       => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X19)) ) ),
    file('<stdin>',fact_95_finite__surj) ).

fof(c_0_77,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
     => ( hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X19),image_1210605179l_bool(X17,X9)))
       => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X19)) ) ),
    file('<stdin>',fact_94_finite__surj) ).

fof(c_0_78,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
     => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),image_47868345e_bool(X17,X9)))
       => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19)) ) ),
    file('<stdin>',fact_93_finite__surj) ).

fof(c_0_79,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
     => ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X19),image_70449425e_bool(X17,X9)))
       => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X19)) ) ),
    file('<stdin>',fact_92_finite__surj) ).

fof(c_0_80,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),image_pname_pname(X17,X9)))
       => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
    file('<stdin>',fact_91_finite__surj) ).

fof(c_0_81,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
     => ( hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X19),image_288317893l_bool(X17,X9)))
       => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X19)) ) ),
    file('<stdin>',fact_90_finite__surj) ).

fof(c_0_82,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
     => ( hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X19),image_1642285373l_bool(X17,X9)))
       => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X19)) ) ),
    file('<stdin>',fact_89_finite__surj) ).

fof(c_0_83,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_516545147_state(X17,X9)))
       => hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19)) ) ),
    file('<stdin>',fact_88_finite__surj) ).

fof(c_0_84,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_18964633_state(X17,X9)))
       => hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19)) ) ),
    file('<stdin>',fact_87_finite__surj) ).

fof(c_0_85,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X9))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_892968839_state(X17,X9)))
       => hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19)) ) ),
    file('<stdin>',fact_86_finite__surj) ).

fof(c_0_86,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X9))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_677922117_state(X17,X9)))
       => hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19)) ) ),
    file('<stdin>',fact_85_finite__surj) ).

fof(c_0_87,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),image_1283814551_pname(X17,X9)))
       => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
    file('<stdin>',fact_84_finite__surj) ).

fof(c_0_88,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),image_187965177_pname(X17,X9)))
       => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
    file('<stdin>',fact_83_finite__surj) ).

fof(c_0_89,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X9))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),image_1619336331_pname(X17,X9)))
       => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
    file('<stdin>',fact_82_finite__surj) ).

fof(c_0_90,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X9))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),image_1705983821_pname(X17,X9)))
       => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
    file('<stdin>',fact_81_finite__surj) ).

fof(c_0_91,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_2003357581_state(X17,X9)))
       => hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19)) ) ),
    file('<stdin>',fact_80_finite__surj) ).

fof(c_0_92,axiom,
    ! [X14,X12] :
      ( ( hBOOL(hAPP_f971112728l_bool(X14,X12))
       => collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X12)),X14)) = insert1556680138e_bool(X12,bot_bo535777328l_bool) )
      & ( ~ hBOOL(hAPP_f971112728l_bool(X14,X12))
       => collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X12)),X14)) = bot_bo535777328l_bool ) ),
    file('<stdin>',fact_274_Collect__conv__if) ).

fof(c_0_93,axiom,
    ! [X14,X12] :
      ( ( hBOOL(hAPP_f1664156314l_bool(X14,X12))
       => collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X12)),X14)) = insert1325755072e_bool(X12,bot_bo1649642514l_bool) )
      & ( ~ hBOOL(hAPP_f1664156314l_bool(X14,X12))
       => collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X12)),X14)) = bot_bo1649642514l_bool ) ),
    file('<stdin>',fact_273_Collect__conv__if) ).

fof(c_0_94,axiom,
    ! [X14,X12] :
      ( ( hBOOL(hAPP_H78829294e_bool(X14,X12))
       => collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X12)),X14)) = insert1415133716_state(X12,bot_bo620288102e_bool) )
      & ( ~ hBOOL(hAPP_H78829294e_bool(X14,X12))
       => collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X12)),X14)) = bot_bo620288102e_bool ) ),
    file('<stdin>',fact_272_Collect__conv__if) ).

fof(c_0_95,axiom,
    ! [X14,X12] :
      ( ( hBOOL(hAPP_pname_bool(X14,X12))
       => collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X12)),X14)) = insert_pname(X12,bot_bo844097828e_bool) )
      & ( ~ hBOOL(hAPP_pname_bool(X14,X12))
       => collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X12)),X14)) = bot_bo844097828e_bool ) ),
    file('<stdin>',fact_271_Collect__conv__if) ).

fof(c_0_96,axiom,
    ! [X9,X19] :
      ( ( is_fun_pname_bool(X9)
        & is_fun_pname_bool(X19) )
     => ( X9 = X19
      <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
          & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9)) ) ) ),
    file('<stdin>',fact_206_set__eq__subset) ).

fof(c_0_97,axiom,
    ! [X9,X19] :
      ( ( is_fun_pname_bool(X9)
        & is_fun_pname_bool(X19) )
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
       => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9))
         => X9 = X19 ) ) ),
    file('<stdin>',fact_119_equalityI) ).

fof(c_0_98,axiom,
    ! [X9,X19] :
      ( ( is_fun1661590463l_bool(X9)
        & is_fun1661590463l_bool(X19) )
     => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X9),X19))
       => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),X9))
         => X9 = X19 ) ) ),
    file('<stdin>',fact_117_equalityI) ).

fof(c_0_99,axiom,
    ! [X20,X9,X19] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
     => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),insert1415133716_state(X20,X19))) ),
    file('<stdin>',fact_259_subset__insertI2) ).

fof(c_0_100,axiom,
    ! [X20,X9,X19] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
     => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),insert_pname(X20,X19))) ),
    file('<stdin>',fact_258_subset__insertI2) ).

fof(c_0_101,axiom,
    ! [X20,X12,X19] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),X19))
     => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),insert1415133716_state(X20,X19))) ),
    file('<stdin>',fact_171_insertI2) ).

fof(c_0_102,axiom,
    ! [X20,X12,X19] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X19))
     => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),insert_pname(X20,X19))) ),
    file('<stdin>',fact_170_insertI2) ).

fof(c_0_103,axiom,
    ! [X20,X12,X19] :
      ( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X19))
       => X12 = X20 )
     => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),insert_pname(X20,X19))) ),
    file('<stdin>',fact_111_insertCI) ).

fof(c_0_104,axiom,
    ! [X20,X12,X19] :
      ( ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),X19))
       => X12 = X20 )
     => hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),insert1556680138e_bool(X20,X19))) ),
    file('<stdin>',fact_110_insertCI) ).

fof(c_0_105,axiom,
    ! [X20,X12,X19] :
      ( ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),X19))
       => X12 = X20 )
     => hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),insert1325755072e_bool(X20,X19))) ),
    file('<stdin>',fact_109_insertCI) ).

fof(c_0_106,axiom,
    ! [X20,X12,X19] :
      ( ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),X19))
       => X12 = X20 )
     => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),insert1415133716_state(X20,X19))) ),
    file('<stdin>',fact_108_insertCI) ).

fof(c_0_107,axiom,
    ! [X9,X19] :
      ( X9 = X19
    <=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
        & hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),X9)) ) ),
    file('<stdin>',fact_207_set__eq__subset) ).

fof(c_0_108,axiom,
    ! [X9,X19] :
      ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X9),X19))
     => ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X19),X9))
       => X9 = X19 ) ),
    file('<stdin>',fact_118_equalityI) ).

fof(c_0_109,axiom,
    ! [X9,X19] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),X9))
       => X9 = X19 ) ),
    file('<stdin>',fact_116_equalityI) ).

fof(c_0_110,axiom,
    ! [X3,X7,X4] :
      ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(X7,X4)))
     => ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(X7,bot_bo620288102e_bool)))
        & hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4)) ) ),
    file('<stdin>',fact_6_derivs__insertD) ).

fof(c_0_111,axiom,
    ! [X3,X6,X4] :
      ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X6),X4))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X6),X3))
       => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4)) ) ),
    file('<stdin>',fact_3_thin) ).

fof(c_0_112,axiom,
    ! [X4,X3,X5] :
      ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X5))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X4),X5))
       => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4)) ) ),
    file('<stdin>',fact_2_weaken) ).

fof(c_0_113,axiom,
    ! [X14,X12] :
      ( ( hBOOL(hAPP_f971112728l_bool(X14,X12))
       => collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X12)),X14)) = insert1556680138e_bool(X12,bot_bo535777328l_bool) )
      & ( ~ hBOOL(hAPP_f971112728l_bool(X14,X12))
       => collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X12)),X14)) = bot_bo535777328l_bool ) ),
    file('<stdin>',fact_278_Collect__conv__if2) ).

fof(c_0_114,axiom,
    ! [X14,X12] :
      ( ( hBOOL(hAPP_f1664156314l_bool(X14,X12))
       => collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X12)),X14)) = insert1325755072e_bool(X12,bot_bo1649642514l_bool) )
      & ( ~ hBOOL(hAPP_f1664156314l_bool(X14,X12))
       => collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X12)),X14)) = bot_bo1649642514l_bool ) ),
    file('<stdin>',fact_277_Collect__conv__if2) ).

fof(c_0_115,axiom,
    ! [X14,X12] :
      ( ( hBOOL(hAPP_H78829294e_bool(X14,X12))
       => collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X12)),X14)) = insert1415133716_state(X12,bot_bo620288102e_bool) )
      & ( ~ hBOOL(hAPP_H78829294e_bool(X14,X12))
       => collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X12)),X14)) = bot_bo620288102e_bool ) ),
    file('<stdin>',fact_276_Collect__conv__if2) ).

fof(c_0_116,axiom,
    ! [X14,X12] :
      ( ( hBOOL(hAPP_pname_bool(X14,X12))
       => collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X12)),X14)) = insert_pname(X12,bot_bo844097828e_bool) )
      & ( ~ hBOOL(hAPP_pname_bool(X14,X12))
       => collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X12)),X14)) = bot_bo844097828e_bool ) ),
    file('<stdin>',fact_275_Collect__conv__if2) ).

fof(c_0_117,axiom,
    ! [X9,X16] :
      ( is_fun_pname_bool(X9)
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),insert_pname(X16,bot_bo844097828e_bool)))
       => ( X9 = bot_bo844097828e_bool
          | X9 = insert_pname(X16,bot_bo844097828e_bool) ) ) ),
    file('<stdin>',fact_102_subset__singletonD) ).

fof(c_0_118,axiom,
    ! [X9,X16] :
      ( is_fun1661590463l_bool(X9)
     => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X9),insert1325755072e_bool(X16,bot_bo1649642514l_bool)))
       => ( X9 = bot_bo1649642514l_bool
          | X9 = insert1325755072e_bool(X16,bot_bo1649642514l_bool) ) ) ),
    file('<stdin>',fact_100_subset__singletonD) ).

fof(c_0_119,axiom,
    ! [X19,X16,X9] :
      ( ( is_fun_pname_bool(X19)
        & is_fun_pname_bool(X9) )
     => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
       => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X19))
         => ( insert_pname(X16,X9) = insert_pname(X16,X19)
          <=> X9 = X19 ) ) ) ),
    file('<stdin>',fact_172_insert__ident) ).

fof(c_0_120,axiom,
    ! [X9] :
      ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
     => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),X9)))) ),
    file('<stdin>',fact_13_finite__Collect__subsets) ).

fof(c_0_121,axiom,
    ! [X9] :
      ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9))
     => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(ord_le287025148l_bool),X9)))) ),
    file('<stdin>',fact_12_finite__Collect__subsets) ).

fof(c_0_122,axiom,
    ! [X9] :
      ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X9))
     => hBOOL(hAPP_f1022807134l_bool(finite34021339l_bool,collec256567069l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(ord_le889598034l_bool),X9)))) ),
    file('<stdin>',fact_11_finite__Collect__subsets) ).

fof(c_0_123,axiom,
    ! [X9] :
      ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X9))
     => hBOOL(hAPP_f595608956l_bool(finite1491191519l_bool,collec792590109l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(ord_le1375671464l_bool),X9)))) ),
    file('<stdin>',fact_10_finite__Collect__subsets) ).

fof(c_0_124,axiom,
    ! [X9] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
     => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(ord_le1285840794e_bool),X9)))) ),
    file('<stdin>',fact_9_finite__Collect__subsets) ).

fof(c_0_125,axiom,
    ! [X9] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
     => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),X9)))) ),
    file('<stdin>',fact_8_finite__Collect__subsets) ).

fof(c_0_126,axiom,
    ! [X20,X12] :
      ( ( is_pname(X20)
        & is_pname(X12) )
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),insert_pname(X12,bot_bo844097828e_bool)))
      <=> X20 = X12 ) ),
    file('<stdin>',fact_227_singleton__iff) ).

fof(c_0_127,axiom,
    ! [X20,X12] :
      ( ( is_pname(X20)
        & is_pname(X12) )
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),insert_pname(X12,bot_bo844097828e_bool)))
       => X20 = X12 ) ),
    file('<stdin>',fact_223_singletonE) ).

fof(c_0_128,axiom,
    ! [X9,X16] :
      ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X9),insert1556680138e_bool(X16,bot_bo535777328l_bool)))
     => ( X9 = bot_bo535777328l_bool
        | X9 = insert1556680138e_bool(X16,bot_bo535777328l_bool) ) ),
    file('<stdin>',fact_101_subset__singletonD) ).

fof(c_0_129,axiom,
    ! [X9,X16] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),insert1415133716_state(X16,bot_bo620288102e_bool)))
     => ( X9 = bot_bo620288102e_bool
        | X9 = insert1415133716_state(X16,bot_bo620288102e_bool) ) ),
    file('<stdin>',fact_99_subset__singletonD) ).

fof(c_0_130,axiom,
    ! [X15] :
      ( hBOOL(hoare_165779456gleton)
     => ( hBOOL(wT_bodies)
       => ( hBOOL(wt(X15))
         => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X15),bot_bo620288102e_bool))) ) ) ),
    file('<stdin>',fact_103_MGF) ).

fof(c_0_131,axiom,
    ! [X17,X16,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
     => insert1415133716_state(hAPP_p1422361149_state(X17,X16),image_2003357581_state(X17,X9)) = image_2003357581_state(X17,X9) ),
    file('<stdin>',fact_266_insert__image) ).

fof(c_0_132,axiom,
    ! [X19,X16,X9] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
     => ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X19))
       => ( insert1415133716_state(X16,X9) = insert1415133716_state(X16,X19)
        <=> X9 = X19 ) ) ),
    file('<stdin>',fact_173_insert__ident) ).

fof(c_0_133,axiom,
    ! [X20,X12] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),insert1415133716_state(X12,bot_bo620288102e_bool)))
    <=> X20 = X12 ),
    file('<stdin>',fact_228_singleton__iff) ).

fof(c_0_134,axiom,
    ! [X20,X12] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),insert1415133716_state(X12,bot_bo620288102e_bool)))
     => X20 = X12 ),
    file('<stdin>',fact_224_singletonE) ).

fof(c_0_135,axiom,
    ! [X9,X19] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
       => hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9)) ) ),
    file('<stdin>',fact_249_rev__finite__subset) ).

fof(c_0_136,axiom,
    ! [X9,X19] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
       => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9)) ) ),
    file('<stdin>',fact_248_rev__finite__subset) ).

fof(c_0_137,axiom,
    ! [X9,X19] :
      ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X19))
     => ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X9),X19))
       => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9)) ) ),
    file('<stdin>',fact_247_rev__finite__subset) ).

fof(c_0_138,axiom,
    ! [X9,X19] :
      ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
     => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X9),X19))
       => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9)) ) ),
    file('<stdin>',fact_246_rev__finite__subset) ).

fof(c_0_139,axiom,
    ! [X9,X19] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
     => ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19))
       => hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9)) ) ),
    file('<stdin>',fact_245_finite__subset) ).

fof(c_0_140,axiom,
    ! [X9,X19] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
     => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
       => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9)) ) ),
    file('<stdin>',fact_244_finite__subset) ).

fof(c_0_141,axiom,
    ! [X9,X19] :
      ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X9),X19))
     => ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X19))
       => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9)) ) ),
    file('<stdin>',fact_243_finite__subset) ).

fof(c_0_142,axiom,
    ! [X9,X19] :
      ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X9),X19))
     => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
       => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9)) ) ),
    file('<stdin>',fact_242_finite__subset) ).

fof(c_0_143,axiom,
    ! [X3,X6,X4] :
      ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X6),X4))
     => ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X6))
       => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4)) ) ),
    file('<stdin>',fact_4_cut) ).

fof(c_0_144,axiom,
    ! [X18,X9,X16] :
      ( ( is_pname(X18)
        & is_pname(X16) )
     => ( hBOOL(hAPP_pname_bool(insert_pname(X18,X9),X16))
      <=> ( X18 = X16
          | hBOOL(hAPP_pname_bool(X9,X16)) ) ) ),
    file('<stdin>',fact_174_insert__code) ).

fof(c_0_145,axiom,
    ! [X4,X3] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X4),X3))
     => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4)) ),
    file('<stdin>',fact_1_asm) ).

fof(c_0_146,axiom,
    ! [X18,X9,X16] :
      ( hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X18,X9),X16))
    <=> ( X18 = X16
        | hBOOL(hAPP_H78829294e_bool(X9,X16)) ) ),
    file('<stdin>',fact_175_insert__code) ).

fof(c_0_147,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X16),X9))
     => image_187965177_pname(cOMBK_1589414042e_bool(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ),
    file('<stdin>',fact_76_image__constant) ).

fof(c_0_148,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),X9))
     => image_1283814551_pname(cOMBK_948730864e_bool(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ),
    file('<stdin>',fact_75_image__constant) ).

fof(c_0_149,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X16),X9))
     => image_18964633_state(cOMBK_701929478e_bool(X15),X9) = insert1415133716_state(X15,bot_bo620288102e_bool) ),
    file('<stdin>',fact_74_image__constant) ).

fof(c_0_150,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),X9))
     => image_516545147_state(cOMBK_1503445380e_bool(X15),X9) = insert1415133716_state(X15,bot_bo620288102e_bool) ),
    file('<stdin>',fact_73_image__constant) ).

fof(c_0_151,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
     => image_pname_pname(cOMBK_pname_pname(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ),
    file('<stdin>',fact_72_image__constant) ).

fof(c_0_152,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
     => image_70449425e_bool(cOMBK_1706929794_pname(X15),X9) = insert1556680138e_bool(X15,bot_bo535777328l_bool) ),
    file('<stdin>',fact_71_image__constant) ).

fof(c_0_153,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
     => image_47868345e_bool(cOMBK_37193422_pname(X15),X9) = insert1325755072e_bool(X15,bot_bo1649642514l_bool) ),
    file('<stdin>',fact_70_image__constant) ).

fof(c_0_154,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
     => image_1828608335e_bool(cOMBK_1039769424_state(X15),X9) = insert1556680138e_bool(X15,bot_bo535777328l_bool) ),
    file('<stdin>',fact_69_image__constant) ).

fof(c_0_155,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
     => image_2131964411e_bool(cOMBK_2035509764_state(X15),X9) = insert1325755072e_bool(X15,bot_bo1649642514l_bool) ),
    file('<stdin>',fact_68_image__constant) ).

fof(c_0_156,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
     => image_54689091_pname(cOMBK_168215364_state(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ),
    file('<stdin>',fact_67_image__constant) ).

fof(c_0_157,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
     => image_2003357581_state(cOMBK_367030522_pname(X15),X9) = insert1415133716_state(X15,bot_bo620288102e_bool) ),
    file('<stdin>',fact_66_image__constant) ).

fof(c_0_158,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X12,X9)))
    <=> hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9)) ),
    file('<stdin>',fact_236_finite__insert) ).

fof(c_0_159,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X12,X9)))
    <=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9)) ),
    file('<stdin>',fact_235_finite__insert) ).

fof(c_0_160,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X12,X9)))
    <=> hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9)) ),
    file('<stdin>',fact_234_finite__insert) ).

fof(c_0_161,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X12,X9)))
    <=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9)) ),
    file('<stdin>',fact_233_finite__insert) ).

fof(c_0_162,axiom,
    ! [X16,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
    <=> hBOOL(hAPP_H78829294e_bool(X9,X16)) ),
    file('<stdin>',fact_253_mem__def) ).

fof(c_0_163,axiom,
    ! [X16,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
    <=> hBOOL(hAPP_pname_bool(X9,X16)) ),
    file('<stdin>',fact_252_mem__def) ).

fof(c_0_164,axiom,
    ! [X12,X20,X15,X25] :
      ( ( is_pname(X12)
        & is_pname(X20)
        & is_pname(X15)
        & is_pname(X25) )
     => ( insert_pname(X12,insert_pname(X20,bot_bo844097828e_bool)) = insert_pname(X15,insert_pname(X25,bot_bo844097828e_bool))
      <=> ( ( X12 = X15
            & X20 = X25 )
          | ( X12 = X25
            & X20 = X15 ) ) ) ),
    file('<stdin>',fact_225_doubleton__eq__iff) ).

fof(c_0_165,axiom,
    ! [X12,X9] :
      ( is_fun_pname_bool(X9)
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9))
       => insert_pname(X12,X9) = X9 ) ),
    file('<stdin>',fact_168_insert__absorb) ).

fof(c_0_166,axiom,
    ! [X9] :
      ( is_fun_pname_bool(X9)
     => ( ! [X21] :
            ( is_pname(X21)
           => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9)) )
      <=> X9 = bot_bo844097828e_bool ) ),
    file('<stdin>',fact_162_all__not__in__conv) ).

fof(c_0_167,axiom,
    ! [X9] :
      ( is_fun1661590463l_bool(X9)
     => ( ! [X21] :
            ( is_fun_pname_bool(X21)
           => ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X21),X9)) )
      <=> X9 = bot_bo1649642514l_bool ) ),
    file('<stdin>',fact_159_all__not__in__conv) ).

fof(c_0_168,axiom,
    ! [X9] :
      ( is_fun_pname_bool(X9)
     => ( ? [X21] :
            ( is_pname(X21)
            & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9)) )
      <=> X9 != bot_bo844097828e_bool ) ),
    file('<stdin>',fact_158_ex__in__conv) ).

fof(c_0_169,axiom,
    ! [X9] :
      ( is_fun1661590463l_bool(X9)
     => ( ? [X21] :
            ( is_fun_pname_bool(X21)
            & hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X21),X9)) )
      <=> X9 != bot_bo1649642514l_bool ) ),
    file('<stdin>',fact_155_ex__in__conv) ).

fof(c_0_170,axiom,
    ! [X39,X40] :
      ( ( is_fun_pname_bool(X39)
        & is_fun_pname_bool(X40) )
     => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X39),X40))
        | X39 = X40 ) ),
    file('<stdin>',help_fequal_1_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T) ).

fof(c_0_171,axiom,
    ! [X39,X40] :
      ( ( is_pname(X39)
        & is_pname(X40) )
     => ( ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X39),X40))
        | X39 = X40 ) ),
    file('<stdin>',help_fequal_1_1_fequal_000tc__Com__Opname_T) ).

fof(c_0_172,axiom,
    is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))),
    file('<stdin>',gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_) ).

fof(c_0_173,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),X9))
     => insert1415133716_state(X12,X9) = X9 ),
    file('<stdin>',fact_169_insert__absorb) ).

fof(c_0_174,axiom,
    ! [X33,X38] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X33),X38))
      | ~ hBOOL(X33)
      | hBOOL(X38) ),
    file('<stdin>',help_fimplies_3_1_U) ).

fof(c_0_175,axiom,
    ! [X33,X38] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X33),X38))
      | hBOOL(X33)
      | hBOOL(X38) ),
    file('<stdin>',help_fdisj_3_1_U) ).

fof(c_0_176,axiom,
    ! [X19,X12] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),insert1415133716_state(X12,X19))),
    file('<stdin>',fact_265_subset__insertI) ).

fof(c_0_177,axiom,
    ! [X19,X12] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),insert_pname(X12,X19))),
    file('<stdin>',fact_264_subset__insertI) ).

fof(c_0_178,axiom,
    ! [X12,X19] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),insert1415133716_state(X12,X19))),
    file('<stdin>',fact_191_insertI1) ).

fof(c_0_179,axiom,
    ! [X12,X19] : hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),insert_pname(X12,X19))),
    file('<stdin>',fact_190_insertI1) ).

fof(c_0_180,axiom,
    ! [X33,X38] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X33),X38))
      | hBOOL(X38) ),
    file('<stdin>',help_fconj_3_1_U) ).

fof(c_0_181,axiom,
    ! [X33,X38] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X33),X38))
      | hBOOL(X33) ),
    file('<stdin>',help_fconj_2_1_U) ).

fof(c_0_182,axiom,
    ! [X9] :
      ( is_fun_pname_bool(X9)
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),bot_bo844097828e_bool))
      <=> X9 = bot_bo844097828e_bool ) ),
    file('<stdin>',fact_237_subset__empty) ).

fof(c_0_183,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
     => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X12,X9))) ),
    file('<stdin>',fact_42_finite_OinsertI) ).

fof(c_0_184,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9))
     => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X12,X9))) ),
    file('<stdin>',fact_41_finite_OinsertI) ).

fof(c_0_185,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X9))
     => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,insert203537868l_bool(X12,X9))) ),
    file('<stdin>',fact_40_finite_OinsertI) ).

fof(c_0_186,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X9))
     => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,insert1117693814l_bool(X12,X9))) ),
    file('<stdin>',fact_39_finite_OinsertI) ).

fof(c_0_187,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
     => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X12,X9))) ),
    file('<stdin>',fact_38_finite_OinsertI) ).

fof(c_0_188,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
     => hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X12,X9))) ),
    file('<stdin>',fact_37_finite_OinsertI) ).

fof(c_0_189,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
     => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X10,X11))) ),
    file('<stdin>',fact_32_finite__imageI) ).

fof(c_0_190,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X11))
     => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_54689091_pname(X10,X11))) ),
    file('<stdin>',fact_31_finite__imageI) ).

fof(c_0_191,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X11))
     => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_2131964411e_bool(X10,X11))) ),
    file('<stdin>',fact_30_finite__imageI) ).

fof(c_0_192,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X11))
     => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_1828608335e_bool(X10,X11))) ),
    file('<stdin>',fact_29_finite__imageI) ).

fof(c_0_193,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X11))
     => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_1761575943l_bool(X10,X11))) ),
    file('<stdin>',fact_28_finite__imageI) ).

fof(c_0_194,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X11))
     => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1210605179l_bool(X10,X11))) ),
    file('<stdin>',fact_27_finite__imageI) ).

fof(c_0_195,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
     => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X10,X11))) ),
    file('<stdin>',fact_26_finite__imageI) ).

fof(c_0_196,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
     => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_70449425e_bool(X10,X11))) ),
    file('<stdin>',fact_25_finite__imageI) ).

fof(c_0_197,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
     => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_288317893l_bool(X10,X11))) ),
    file('<stdin>',fact_24_finite__imageI) ).

fof(c_0_198,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
     => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1642285373l_bool(X10,X11))) ),
    file('<stdin>',fact_23_finite__imageI) ).

fof(c_0_199,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
     => hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_516545147_state(X10,X11))) ),
    file('<stdin>',fact_22_finite__imageI) ).

fof(c_0_200,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X11))
     => hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_18964633_state(X10,X11))) ),
    file('<stdin>',fact_21_finite__imageI) ).

fof(c_0_201,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X11))
     => hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_892968839_state(X10,X11))) ),
    file('<stdin>',fact_20_finite__imageI) ).

fof(c_0_202,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X11))
     => hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_677922117_state(X10,X11))) ),
    file('<stdin>',fact_19_finite__imageI) ).

fof(c_0_203,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
     => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X10,X11))) ),
    file('<stdin>',fact_18_finite__imageI) ).

fof(c_0_204,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X11))
     => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_187965177_pname(X10,X11))) ),
    file('<stdin>',fact_17_finite__imageI) ).

fof(c_0_205,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X11))
     => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1619336331_pname(X10,X11))) ),
    file('<stdin>',fact_16_finite__imageI) ).

fof(c_0_206,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X11))
     => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1705983821_pname(X10,X11))) ),
    file('<stdin>',fact_15_finite__imageI) ).

fof(c_0_207,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
     => hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_2003357581_state(X10,X11))) ),
    file('<stdin>',fact_14_finite__imageI) ).

fof(c_0_208,axiom,
    ! [X9] :
      ( ! [X21] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X9))
    <=> X9 = bot_bo620288102e_bool ),
    file('<stdin>',fact_161_all__not__in__conv) ).

fof(c_0_209,axiom,
    ! [X9] :
      ( ! [X21] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X21),X9))
    <=> X9 = bot_bo535777328l_bool ),
    file('<stdin>',fact_160_all__not__in__conv) ).

fof(c_0_210,axiom,
    ! [X9] :
      ( ? [X21] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X9))
    <=> X9 != bot_bo620288102e_bool ),
    file('<stdin>',fact_157_ex__in__conv) ).

fof(c_0_211,axiom,
    ! [X9] :
      ( ? [X21] : hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X21),X9))
    <=> X9 != bot_bo535777328l_bool ),
    file('<stdin>',fact_156_ex__in__conv) ).

fof(c_0_212,axiom,
    ! [X12,X9] :
      ( X9 = bot_bo844097828e_bool
     => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9)) ),
    file('<stdin>',fact_138_equals0D) ).

fof(c_0_213,axiom,
    ! [X12,X9] :
      ( X9 = bot_bo620288102e_bool
     => ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),X9)) ),
    file('<stdin>',fact_137_equals0D) ).

fof(c_0_214,axiom,
    ! [X12,X9] :
      ( X9 = bot_bo535777328l_bool
     => ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),X9)) ),
    file('<stdin>',fact_136_equals0D) ).

fof(c_0_215,axiom,
    ! [X12,X9] :
      ( X9 = bot_bo1649642514l_bool
     => ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),X9)) ),
    file('<stdin>',fact_135_equals0D) ).

fof(c_0_216,axiom,
    ! [X39,X40] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X39),X40))
      | X39 = X40 ),
    file('<stdin>',help_fequal_1_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple) ).

fof(c_0_217,axiom,
    ! [X39,X40] :
      ( ~ hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X39),X40))
      | X39 = X40 ),
    file('<stdin>',help_fequal_1_1_fequal_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com) ).

fof(c_0_218,axiom,
    ! [X12,X20,X15,X25] :
      ( insert1415133716_state(X12,insert1415133716_state(X20,bot_bo620288102e_bool)) = insert1415133716_state(X15,insert1415133716_state(X25,bot_bo620288102e_bool))
    <=> ( ( X12 = X15
          & X20 = X25 )
        | ( X12 = X25
          & X20 = X15 ) ) ),
    file('<stdin>',fact_226_doubleton__eq__iff) ).

fof(c_0_219,axiom,
    ! [X28,X12,X20] :
      ( hAPP_p799580910on_com(X28,X12) = some_com(X20)
     => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),dom_pname_com(X28))) ),
    file('<stdin>',fact_270_domI) ).

fof(c_0_220,axiom,
    ! [X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),bot_bo620288102e_bool))
    <=> X9 = bot_bo620288102e_bool ),
    file('<stdin>',fact_238_subset__empty) ).

fof(c_0_221,axiom,
    ! [X15] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),bot_bo844097828e_bool)),
    file('<stdin>',fact_148_empty__iff) ).

fof(c_0_222,axiom,
    ! [X15] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X15),bot_bo620288102e_bool)),
    file('<stdin>',fact_147_empty__iff) ).

fof(c_0_223,axiom,
    ! [X15] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X15),bot_bo535777328l_bool)),
    file('<stdin>',fact_146_empty__iff) ).

fof(c_0_224,axiom,
    ! [X15] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X15),bot_bo1649642514l_bool)),
    file('<stdin>',fact_145_empty__iff) ).

fof(c_0_225,axiom,
    ! [X12] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),bot_bo844097828e_bool)),
    file('<stdin>',fact_107_emptyE) ).

fof(c_0_226,axiom,
    ! [X12] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),bot_bo535777328l_bool)),
    file('<stdin>',fact_106_emptyE) ).

fof(c_0_227,axiom,
    ! [X12] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),bot_bo1649642514l_bool)),
    file('<stdin>',fact_105_emptyE) ).

fof(c_0_228,axiom,
    ! [X12] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),bot_bo620288102e_bool)),
    file('<stdin>',fact_104_emptyE) ).

fof(c_0_229,axiom,
    ! [X33] :
      ( hBOOL(wt(hAPP_pname_com(body_1,X33)))
     => ~ ! [X34] : hAPP_p799580910on_com(body,X33) != some_com(X34) ),
    file('<stdin>',fact_294_WTs__elim__cases_I7_J) ).

fof(c_0_230,axiom,
    ! [X33,X38,X41] : hAPP_f166538662l_bool(cOMBS_1358309691l_bool(X33,X38),X41) = hAPP_bool_bool(hAPP_f2143399574l_bool(X33,X41),hAPP_f166538662l_bool(X38,X41)),
    file('<stdin>',help_COMBS_1_1_COMBS_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__) ).

fof(c_0_231,axiom,
    ! [X33,X38,X41] : hAPP_f971112728l_bool(cOMBS_2066081387l_bool(X33,X38),X41) = hAPP_bool_bool(hAPP_f637090980l_bool(X33,X41),hAPP_f971112728l_bool(X38,X41)),
    file('<stdin>',help_COMBS_1_1_COMBS_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I) ).

fof(c_0_232,axiom,
    ! [X33,X38,X41] : hAPP_f1935102916l_bool(cOMBS_811933079l_bool(X33,X38),X41) = hAPP_bool_bool(hAPP_f32027384l_bool(X33,X41),hAPP_f1935102916l_bool(X38,X41)),
    file('<stdin>',help_COMBS_1_1_COMBS_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_) ).

fof(c_0_233,axiom,
    ! [X33,X38,X41] : hAPP_H78829294e_bool(cOMBS_458705923l_bool(X33,X38),X41) = hAPP_bool_bool(hAPP_H1187982158l_bool(X33,X41),hAPP_H78829294e_bool(X38,X41)),
    file('<stdin>',help_COMBS_1_1_COMBS_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__) ).

fof(c_0_234,axiom,
    ! [X33,X38,X41] : hAPP_f1664156314l_bool(cOMBS_350070575l_bool(X33,X38),X41) = hAPP_bool_bool(hAPP_f1476298914l_bool(X33,X41),hAPP_f1664156314l_bool(X38,X41)),
    file('<stdin>',help_COMBS_1_1_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__O) ).

fof(c_0_235,axiom,
    ! [X33,X38,X41] : hAPP_pname_bool(cOMBS_568398431l_bool(X33,X38),X41) = hAPP_bool_bool(hAPP_p393069232l_bool(X33,X41),hAPP_pname_bool(X38,X41)),
    file('<stdin>',help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool_U) ).

fof(c_0_236,axiom,
    ! [X17,X12,X19] : image_2003357581_state(X17,insert_pname(X12,X19)) = insert1415133716_state(hAPP_p1422361149_state(X17,X12),image_2003357581_state(X17,X19)),
    file('<stdin>',fact_267_image__insert) ).

fof(c_0_237,axiom,
    ! [X33,X38,X41] : hAPP_f468958928l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(X33),X38),X41) = hAPP_f468958928l_bool(hAPP_f667366769l_bool(X33,X41),X38),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfe) ).

fof(c_0_238,axiom,
    ! [X33,X38,X41] : hAPP_f166538662l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(X33),X38),X41) = hAPP_f166538662l_bool(hAPP_f585161855l_bool(X33,X41),X38),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__) ).

fof(c_0_239,axiom,
    ! [X33,X38,X41] : hAPP_f971112728l_bool(hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(X33),X38),X41) = hAPP_f166538662l_bool(hAPP_f210337421l_bool(X33,X41),X38),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I_016) ).

fof(c_0_240,axiom,
    ! [X33,X38,X41] : hAPP_f389811538l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(X33),X38),X41) = hAPP_f389811538l_bool(hAPP_f1759205631l_bool(X33,X41),X38),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo) ).

fof(c_0_241,axiom,
    ! [X33,X38,X41] : hAPP_f971112728l_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(X33),X38),X41) = hAPP_f971112728l_bool(hAPP_f72706945l_bool(X33,X41),X38),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I) ).

fof(c_0_242,axiom,
    ! [X33,X38,X41] : hAPP_H78829294e_bool(hAPP_f98417237e_bool(cOMBC_1734175330l_bool(X33),X38),X41) = hAPP_f971112728l_bool(hAPP_H30606679l_bool(X33,X41),X38),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com___014) ).

fof(c_0_243,axiom,
    ! [X33,X38,X41] : hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(X33),X38),X41) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(X33,X41),X38),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_) ).

fof(c_0_244,axiom,
    ! [X33,X38,X41] : hAPP_H78829294e_bool(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(X33),X38),X41) = hAPP_H78829294e_bool(hAPP_H1049623551e_bool(X33,X41),X38),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__) ).

fof(c_0_245,axiom,
    ! [X33,X38,X41] : hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(X33),X38),X41) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(X33,X41),X38),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_010) ).

fof(c_0_246,axiom,
    ! [X33,X38,X41] : hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(X33),X38),X41) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(X33,X41),X38),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It) ).

fof(c_0_247,axiom,
    ! [X33,X38,X41] : hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(X33),X38),X41) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(X33,X41),X38),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob) ).

fof(c_0_248,axiom,
    ! [X33,X38,X41] : hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(X33),X38),X41) = hAPP_pname_bool(hAPP_p61793385e_bool(X33,X41),X38),
    file('<stdin>',help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Com__Opname_000tc__HOL__Obool_U) ).

fof(c_0_249,axiom,
    ! [X38,X33] :
      ( ~ hBOOL(X33)
      | ~ hBOOL(X38)
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X33),X38)) ),
    file('<stdin>',help_fconj_1_1_U) ).

fof(c_0_250,axiom,
    ! [X33,X38] :
      ( ~ hBOOL(X38)
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X33),X38)) ),
    file('<stdin>',help_fimplies_2_1_U) ).

fof(c_0_251,axiom,
    ! [X33,X38] :
      ( ~ hBOOL(X38)
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X33),X38)) ),
    file('<stdin>',help_fdisj_2_1_U) ).

fof(c_0_252,axiom,
    ! [X38,X33] :
      ( ~ hBOOL(X33)
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X33),X38)) ),
    file('<stdin>',help_fdisj_1_1_U) ).

fof(c_0_253,axiom,
    ! [X38,X33] :
      ( hBOOL(X33)
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X33),X38)) ),
    file('<stdin>',help_fimplies_1_1_U) ).

fof(c_0_254,axiom,
    ! [X33,X38,X41] : hAPP_f2143399574l_bool(cOMBB_404111180l_bool(X33,X38),X41) = hAPP_b589554111l_bool(X33,hAPP_f166538662l_bool(X38,X41)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_015) ).

fof(c_0_255,axiom,
    ! [X33,X38,X41] : hAPP_f637090980l_bool(cOMBB_1585081418e_bool(X33,X38),X41) = hAPP_b589554111l_bool(X33,hAPP_f971112728l_bool(X38,X41)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_011) ).

fof(c_0_256,axiom,
    ! [X33,X38,X41] : hAPP_f32027384l_bool(cOMBB_689948150l_bool(X33,X38),X41) = hAPP_b589554111l_bool(X33,hAPP_f1935102916l_bool(X38,X41)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_009) ).

fof(c_0_257,axiom,
    ! [X33,X38,X41] : hAPP_H1187982158l_bool(cOMBB_962198420_state(X33,X38),X41) = hAPP_b589554111l_bool(X33,hAPP_H78829294e_bool(X38,X41)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_008) ).

fof(c_0_258,axiom,
    ! [X33,X38,X41] : hAPP_f971112728l_bool(cOMBB_1522210668e_bool(X33,X38),X41) = hAPP_bool_bool(X33,hAPP_f971112728l_bool(X38,X41)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Hoare__) ).

fof(c_0_259,axiom,
    ! [X33,X38,X41] : hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(X33,X38),X41) = hAPP_b589554111l_bool(X33,hAPP_f1664156314l_bool(X38,X41)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_006) ).

fof(c_0_260,axiom,
    ! [X33,X38,X41] : hAPP_H78829294e_bool(cOMBB_2144135922_state(X33,X38),X41) = hAPP_bool_bool(X33,hAPP_H78829294e_bool(X38,X41)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Hoare____Mirabel) ).

fof(c_0_261,axiom,
    ! [X33,X38,X41] : hAPP_p1422361149_state(cOMBB_699532858_pname(X33,X38),X41) = hAPP_c1126217667_state(X33,hAPP_pname_com(X38,X41)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__Com__Ocom_000tc__Hoare____Mirabelle____jfehddehev__O) ).

fof(c_0_262,axiom,
    ! [X33,X38,X41] : hAPP_p393069232l_bool(cOMBB_675860798_pname(X33,X38),X41) = hAPP_b589554111l_bool(X33,hAPP_pname_bool(X38,X41)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo) ).

fof(c_0_263,axiom,
    ! [X33,X38,X41] : hAPP_f1664156314l_bool(cOMBB_307249310e_bool(X33,X38),X41) = hAPP_bool_bool(X33,hAPP_f1664156314l_bool(X38,X41)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Op) ).

fof(c_0_264,axiom,
    ! [X33,X38,X41] : hAPP_pname_com(cOMBB_923936821_pname(X33,X38),X41) = hAPP_option_com_com(X33,hAPP_p799580910on_com(X38,X41)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__Com__Ocom_J_000tc__Com__Ocom_00) ).

fof(c_0_265,axiom,
    ! [X33,X38,X41] : hAPP_pname_bool(cOMBB_647938656_pname(X33,X38),X41) = hAPP_bool_bool(X33,hAPP_pname_bool(X38,X41)),
    file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname_U) ).

fof(c_0_266,axiom,
    ! [X16,X18,X9] : insert1415133716_state(X16,insert1415133716_state(X18,X9)) = insert1415133716_state(X18,insert1415133716_state(X16,X9)),
    file('<stdin>',fact_179_insert__commute) ).

fof(c_0_267,axiom,
    ! [X16,X18,X9] : insert_pname(X16,insert_pname(X18,X9)) = insert_pname(X18,insert_pname(X16,X9)),
    file('<stdin>',fact_178_insert__commute) ).

fof(c_0_268,axiom,
    ! [X39,X40] :
      ( X39 != X40
      | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X39),X40)) ),
    file('<stdin>',help_fequal_2_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple) ).

fof(c_0_269,axiom,
    ! [X39,X40] :
      ( X39 != X40
      | hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X39),X40)) ),
    file('<stdin>',help_fequal_2_1_fequal_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com) ).

fof(c_0_270,axiom,
    ! [X39,X40] :
      ( X39 != X40
      | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X39),X40)) ),
    file('<stdin>',help_fequal_2_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T) ).

fof(c_0_271,axiom,
    ! [X39,X40] :
      ( X39 != X40
      | hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X39),X40)) ),
    file('<stdin>',help_fequal_2_1_fequal_000tc__Com__Opname_T) ).

fof(c_0_272,axiom,
    ! [X9,X19] :
      ( X9 = X19
     => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19)) ),
    file('<stdin>',fact_205_equalityD1) ).

fof(c_0_273,axiom,
    ! [X9,X19] :
      ( X9 = X19
     => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19)) ),
    file('<stdin>',fact_204_equalityD1) ).

fof(c_0_274,axiom,
    ! [X9,X19] :
      ( X9 = X19
     => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),X9)) ),
    file('<stdin>',fact_203_equalityD2) ).

fof(c_0_275,axiom,
    ! [X9,X19] :
      ( X9 = X19
     => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9)) ),
    file('<stdin>',fact_202_equalityD2) ).

fof(c_0_276,axiom,
    ! [X9,X19] :
      ( X9 = X19
     => ~ ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
         => ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),X9)) ) ),
    file('<stdin>',fact_193_equalityE) ).

fof(c_0_277,axiom,
    ! [X9,X19] :
      ( X9 = X19
     => ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
         => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9)) ) ),
    file('<stdin>',fact_192_equalityE) ).

fof(c_0_278,axiom,
    ! [X9] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X9)),
    file('<stdin>',fact_209_subset__refl) ).

fof(c_0_279,axiom,
    ! [X9] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X9)),
    file('<stdin>',fact_208_subset__refl) ).

fof(c_0_280,axiom,
    ! [X9] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X9)),
    file('<stdin>',fact_36_empty__subsetI) ).

fof(c_0_281,axiom,
    ! [X9] : hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,bot_bo535777328l_bool),X9)),
    file('<stdin>',fact_35_empty__subsetI) ).

fof(c_0_282,axiom,
    ! [X9] : hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,bot_bo1649642514l_bool),X9)),
    file('<stdin>',fact_34_empty__subsetI) ).

fof(c_0_283,axiom,
    ! [X9] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,bot_bo620288102e_bool),X9)),
    file('<stdin>',fact_33_empty__subsetI) ).

fof(c_0_284,axiom,
    ! [X14] :
      ( bot_bo844097828e_bool = collect_pname(X14)
    <=> ! [X21] :
          ( is_pname(X21)
         => ~ hBOOL(hAPP_pname_bool(X14,X21)) ) ),
    file('<stdin>',fact_154_empty__Collect__eq) ).

fof(c_0_285,axiom,
    ! [X14] :
      ( bot_bo1649642514l_bool = collec1974731493e_bool(X14)
    <=> ! [X21] :
          ( is_fun_pname_bool(X21)
         => ~ hBOOL(hAPP_f1664156314l_bool(X14,X21)) ) ),
    file('<stdin>',fact_152_empty__Collect__eq) ).

fof(c_0_286,axiom,
    ! [X14] :
      ( bot_bo1537088220l_bool = collec1613912337l_bool(X14)
    <=> ! [X21] :
          ( is_fun1661590463l_bool(X21)
         => ~ hBOOL(hAPP_f1935102916l_bool(X14,X21)) ) ),
    file('<stdin>',fact_149_empty__Collect__eq) ).

fof(c_0_287,axiom,
    ! [X14] :
      ( collect_pname(X14) = bot_bo844097828e_bool
    <=> ! [X21] :
          ( is_pname(X21)
         => ~ hBOOL(hAPP_pname_bool(X14,X21)) ) ),
    file('<stdin>',fact_144_Collect__empty__eq) ).

fof(c_0_288,axiom,
    ! [X14] :
      ( collec1974731493e_bool(X14) = bot_bo1649642514l_bool
    <=> ! [X21] :
          ( is_fun_pname_bool(X21)
         => ~ hBOOL(hAPP_f1664156314l_bool(X14,X21)) ) ),
    file('<stdin>',fact_142_Collect__empty__eq) ).

fof(c_0_289,axiom,
    ! [X14] :
      ( collec1613912337l_bool(X14) = bot_bo1537088220l_bool
    <=> ! [X21] :
          ( is_fun1661590463l_bool(X21)
         => ~ hBOOL(hAPP_f1935102916l_bool(X14,X21)) ) ),
    file('<stdin>',fact_139_Collect__empty__eq) ).

fof(c_0_290,axiom,
    ! [X36,X37] :
      ( ( is_pname(X36)
        & is_pname(X37) )
     => ( hAPP_pname_com(body_1,X36) = hAPP_pname_com(body_1,X37)
      <=> X36 = X37 ) ),
    file('<stdin>',fact_299_com_Osimps_I6_J) ).

fof(c_0_291,axiom,
    ! [X12,X20] :
      ( ( is_pname(X12)
        & is_pname(X20) )
     => ( insert_pname(X12,bot_bo844097828e_bool) = insert_pname(X20,bot_bo844097828e_bool)
       => X12 = X20 ) ),
    file('<stdin>',fact_221_singleton__inject) ).

fof(c_0_292,axiom,
    ! [X14] :
      ( bot_bo620288102e_bool = collec307967673_state(X14)
    <=> ! [X21] : ~ hBOOL(hAPP_H78829294e_bool(X14,X21)) ),
    file('<stdin>',fact_153_empty__Collect__eq) ).

fof(c_0_293,axiom,
    ! [X14] :
      ( bot_bo535777328l_bool = collec1823980261e_bool(X14)
    <=> ! [X21] : ~ hBOOL(hAPP_f971112728l_bool(X14,X21)) ),
    file('<stdin>',fact_151_empty__Collect__eq) ).

fof(c_0_294,axiom,
    ! [X14] :
      ( bot_bo1761158942l_bool = collec488126193l_bool(X14)
    <=> ! [X21] : ~ hBOOL(hAPP_f166538662l_bool(X14,X21)) ),
    file('<stdin>',fact_150_empty__Collect__eq) ).

fof(c_0_295,axiom,
    ! [X14] :
      ( collec307967673_state(X14) = bot_bo620288102e_bool
    <=> ! [X21] : ~ hBOOL(hAPP_H78829294e_bool(X14,X21)) ),
    file('<stdin>',fact_143_Collect__empty__eq) ).

fof(c_0_296,axiom,
    ! [X14] :
      ( collec1823980261e_bool(X14) = bot_bo535777328l_bool
    <=> ! [X21] : ~ hBOOL(hAPP_f971112728l_bool(X14,X21)) ),
    file('<stdin>',fact_141_Collect__empty__eq) ).

fof(c_0_297,axiom,
    ! [X14] :
      ( collec488126193l_bool(X14) = bot_bo1761158942l_bool
    <=> ! [X21] : ~ hBOOL(hAPP_f166538662l_bool(X14,X21)) ),
    file('<stdin>',fact_140_Collect__empty__eq) ).

fof(c_0_298,axiom,
    ! [X16,X9] : insert1415133716_state(X16,insert1415133716_state(X16,X9)) = insert1415133716_state(X16,X9),
    file('<stdin>',fact_181_insert__absorb2) ).

fof(c_0_299,axiom,
    ! [X16,X9] : insert_pname(X16,insert_pname(X16,X9)) = insert_pname(X16,X9),
    file('<stdin>',fact_180_insert__absorb2) ).

fof(c_0_300,axiom,
    ! [X17,X16,X18] :
      ( hAPP_f2134636538on_com(X17,X16) = some_com(X18)
     => insert1556680138e_bool(X16,dom_fu1342267980ol_com(X17)) = dom_fu1342267980ol_com(X17) ),
    file('<stdin>',fact_79_insert__dom) ).

fof(c_0_301,axiom,
    ! [X17,X16,X18] :
      ( hAPP_f2138803836on_com(X17,X16) = some_com(X18)
     => insert1325755072e_bool(X16,dom_fu2081503504ol_com(X17)) = dom_fu2081503504ol_com(X17) ),
    file('<stdin>',fact_78_insert__dom) ).

fof(c_0_302,axiom,
    ! [X17,X16,X18] :
      ( hAPP_p799580910on_com(X17,X16) = some_com(X18)
     => insert_pname(X16,dom_pname_com(X17)) = dom_pname_com(X17) ),
    file('<stdin>',fact_77_insert__dom) ).

fof(c_0_303,axiom,
    ! [X33] :
      ( ~ hBOOL(hAPP_bool_bool(fNot,X33))
      | ~ hBOOL(X33) ),
    file('<stdin>',help_fNot_1_1_U) ).

fof(c_0_304,axiom,
    is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))),
    file('<stdin>',gsy_c_HOL_Oundefined_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).

fof(c_0_305,axiom,
    ! [X12] : collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X12)) = insert1556680138e_bool(X12,bot_bo535777328l_bool),
    file('<stdin>',fact_282_singleton__conv) ).

fof(c_0_306,axiom,
    ! [X12] : collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X12)) = insert1325755072e_bool(X12,bot_bo1649642514l_bool),
    file('<stdin>',fact_281_singleton__conv) ).

fof(c_0_307,axiom,
    ! [X12] : collec307967673_state(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X12)) = insert1415133716_state(X12,bot_bo620288102e_bool),
    file('<stdin>',fact_280_singleton__conv) ).

fof(c_0_308,axiom,
    ! [X12] : collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X12)) = insert_pname(X12,bot_bo844097828e_bool),
    file('<stdin>',fact_279_singleton__conv) ).

fof(c_0_309,axiom,
    ! [X1,X2] :
      ( ( is_fun1661590463l_bool(X1)
        & is_fun_pname_bool(X2) )
     => is_bool(hAPP_f1664156314l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool) ).

fof(c_0_310,axiom,
    ! [X1,X2] :
      ( ( is_fun_pname_bool(X1)
        & is_pname(X2) )
     => is_bool(hAPP_pname_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__Com__Opname_000tc__HOL__Obool) ).

fof(c_0_311,axiom,
    ! [X1,X2] :
      ( ( is_fun_pname_bool(X1)
        & is_fun1661590463l_bool(X2) )
     => is_fun1661590463l_bool(insert1325755072e_bool(X1,X2)) ),
    file('<stdin>',gsy_c_Set_Oinsert_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).

fof(c_0_312,axiom,
    ! [X1,X2] :
      ( ( is_pname(X1)
        & is_fun_pname_bool(X2) )
     => is_fun_pname_bool(insert_pname(X1,X2)) ),
    file('<stdin>',gsy_c_Set_Oinsert_000tc__Com__Opname) ).

fof(c_0_313,axiom,
    ! [X29,X30] :
      ( hBOOL(wT_bodies)
     => ( hAPP_p799580910on_com(body,X29) = some_com(X30)
       => hBOOL(wt(X30)) ) ),
    file('<stdin>',fact_288_WT__bodiesD) ).

fof(c_0_314,axiom,
    ! [X12,X20] :
      ( insert1415133716_state(X12,bot_bo620288102e_bool) = insert1415133716_state(X20,bot_bo620288102e_bool)
     => X12 = X20 ),
    file('<stdin>',fact_222_singleton__inject) ).

fof(c_0_315,axiom,
    ! [X15,X9] :
      ( is_fun1661590463l_bool(X9)
     => ( ( X9 = bot_bo1649642514l_bool
         => image_1283814551_pname(cOMBK_948730864e_bool(X15),X9) = bot_bo844097828e_bool )
        & ( X9 != bot_bo1649642514l_bool
         => image_1283814551_pname(cOMBK_948730864e_bool(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ) ) ),
    file('<stdin>',fact_64_image__constant__conv) ).

fof(c_0_316,axiom,
    ! [X15,X9] :
      ( is_fun1661590463l_bool(X9)
     => ( ( X9 = bot_bo1649642514l_bool
         => image_516545147_state(cOMBK_1503445380e_bool(X15),X9) = bot_bo620288102e_bool )
        & ( X9 != bot_bo1649642514l_bool
         => image_516545147_state(cOMBK_1503445380e_bool(X15),X9) = insert1415133716_state(X15,bot_bo620288102e_bool) ) ) ),
    file('<stdin>',fact_62_image__constant__conv) ).

fof(c_0_317,axiom,
    ! [X15,X9] :
      ( is_fun_pname_bool(X9)
     => ( ( X9 = bot_bo844097828e_bool
         => image_pname_pname(cOMBK_pname_pname(X15),X9) = bot_bo844097828e_bool )
        & ( X9 != bot_bo844097828e_bool
         => image_pname_pname(cOMBK_pname_pname(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ) ) ),
    file('<stdin>',fact_61_image__constant__conv) ).

fof(c_0_318,axiom,
    ! [X15,X9] :
      ( is_fun_pname_bool(X9)
     => ( ( X9 = bot_bo844097828e_bool
         => image_70449425e_bool(cOMBK_1706929794_pname(X15),X9) = bot_bo535777328l_bool )
        & ( X9 != bot_bo844097828e_bool
         => image_70449425e_bool(cOMBK_1706929794_pname(X15),X9) = insert1556680138e_bool(X15,bot_bo535777328l_bool) ) ) ),
    file('<stdin>',fact_60_image__constant__conv) ).

fof(c_0_319,axiom,
    ! [X15,X9] :
      ( is_fun_pname_bool(X9)
     => ( ( X9 = bot_bo844097828e_bool
         => image_47868345e_bool(cOMBK_37193422_pname(X15),X9) = bot_bo1649642514l_bool )
        & ( X9 != bot_bo844097828e_bool
         => image_47868345e_bool(cOMBK_37193422_pname(X15),X9) = insert1325755072e_bool(X15,bot_bo1649642514l_bool) ) ) ),
    file('<stdin>',fact_59_image__constant__conv) ).

fof(c_0_320,axiom,
    ! [X15,X9] :
      ( is_fun_pname_bool(X9)
     => ( ( X9 = bot_bo844097828e_bool
         => image_2003357581_state(cOMBK_367030522_pname(X15),X9) = bot_bo620288102e_bool )
        & ( X9 != bot_bo844097828e_bool
         => image_2003357581_state(cOMBK_367030522_pname(X15),X9) = insert1415133716_state(X15,bot_bo620288102e_bool) ) ) ),
    file('<stdin>',fact_55_image__constant__conv) ).

fof(c_0_321,axiom,
    ! [X12] : collec1823980261e_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X12)) = insert1556680138e_bool(X12,bot_bo535777328l_bool),
    file('<stdin>',fact_286_singleton__conv2) ).

fof(c_0_322,axiom,
    ! [X12] : collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X12)) = insert1325755072e_bool(X12,bot_bo1649642514l_bool),
    file('<stdin>',fact_285_singleton__conv2) ).

fof(c_0_323,axiom,
    ! [X12] : collec307967673_state(hAPP_H1049623551e_bool(fequal1111551311_state,X12)) = insert1415133716_state(X12,bot_bo620288102e_bool),
    file('<stdin>',fact_284_singleton__conv2) ).

fof(c_0_324,axiom,
    ! [X12] : collect_pname(hAPP_p61793385e_bool(fequal_pname,X12)) = insert_pname(X12,bot_bo844097828e_bool),
    file('<stdin>',fact_283_singleton__conv2) ).

fof(c_0_325,axiom,
    ! [X3] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),bot_bo620288102e_bool)),
    file('<stdin>',fact_0_empty) ).

fof(c_0_326,axiom,
    ! [X1,X2] :
      ( is_fun1661590463l_bool(X2)
     => is_fun1661590463l_bool(hAPP_f559147733l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo_005) ).

fof(c_0_327,axiom,
    ! [X1,X2] :
      ( is_fun1661590463l_bool(X2)
     => is_bool(hAPP_f1935102916l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo) ).

fof(c_0_328,axiom,
    ! [X1,X2] :
      ( is_fun_pname_bool(X2)
     => is_fun1661590463l_bool(hAPP_f434788991l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_Itc) ).

fof(c_0_329,axiom,
    ! [X1,X2] :
      ( is_fun_pname_bool(X2)
     => is_fun_pname_bool(hAPP_f759274231e_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Op) ).

fof(c_0_330,axiom,
    ! [X1,X2] :
      ( is_fun_pname_bool(X2)
     => is_pname(hAPP_f1297739591_pname(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opname) ).

fof(c_0_331,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_332,axiom,
    ! [X1,X2] :
      ( is_pname(X2)
     => is_fun1661590463l_bool(hAPP_p338031245l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo) ).

fof(c_0_333,axiom,
    ! [X1,X2] :
      ( is_pname(X2)
     => is_fun_pname_bool(hAPP_p61793385e_bool(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).

fof(c_0_334,axiom,
    ! [X1,X2] :
      ( is_pname(X2)
     => is_pname(hAPP_pname_pname(X1,X2)) ),
    file('<stdin>',gsy_c_hAPP_000tc__Com__Opname_000tc__Com__Opname) ).

fof(c_0_335,axiom,
    ! [X1,X2] :
      ( is_fun1661590463l_bool(X2)
     => is_fun_pname_bool(image_1283814551_pname(X1,X2)) ),
    file('<stdin>',gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opnam) ).

fof(c_0_336,axiom,
    ! [X1,X2] :
      ( is_fun_pname_bool(X2)
     => is_fun1661590463l_bool(image_47868345e_bool(X1,X2)) ),
    file('<stdin>',gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_) ).

fof(c_0_337,axiom,
    ! [X1,X2] :
      ( is_fun_pname_bool(X2)
     => is_fun_pname_bool(image_pname_pname(X1,X2)) ),
    file('<stdin>',gsy_c_Set_Oimage_000tc__Com__Opname_000tc__Com__Opname) ).

fof(c_0_338,axiom,
    ! [X1,X2] :
      ( is_fun1661590463l_bool(X2)
     => is_fun1661590463l_bool(cOMBS_350070575l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool_000t) ).

fof(c_0_339,axiom,
    ! [X1,X2] :
      ( is_fun_pname_bool(X2)
     => is_fun_pname_bool(cOMBS_568398431l_bool(X1,X2)) ),
    file('<stdin>',gsy_c_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool) ).

fof(c_0_340,axiom,
    ! [X1,X2] :
      ( is_fun1661590463l_bool(X2)
     => is_fun1661590463l_bool(cOMBB_307249310e_bool(X1,X2)) ),
    file('<stdin>',gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc_) ).

fof(c_0_341,axiom,
    ! [X1,X2] :
      ( is_fun_pname_bool(X2)
     => is_fun_pname_bool(cOMBB_647938656_pname(X1,X2)) ),
    file('<stdin>',gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname) ).

fof(c_0_342,axiom,
    ! [X15,X9] :
      ( ( X9 = bot_bo535777328l_bool
       => image_187965177_pname(cOMBK_1589414042e_bool(X15),X9) = bot_bo844097828e_bool )
      & ( X9 != bot_bo535777328l_bool
       => image_187965177_pname(cOMBK_1589414042e_bool(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ) ),
    file('<stdin>',fact_65_image__constant__conv) ).

fof(c_0_343,axiom,
    ! [X15,X9] :
      ( ( X9 = bot_bo535777328l_bool
       => image_18964633_state(cOMBK_701929478e_bool(X15),X9) = bot_bo620288102e_bool )
      & ( X9 != bot_bo535777328l_bool
       => image_18964633_state(cOMBK_701929478e_bool(X15),X9) = insert1415133716_state(X15,bot_bo620288102e_bool) ) ),
    file('<stdin>',fact_63_image__constant__conv) ).

fof(c_0_344,axiom,
    ! [X15,X9] :
      ( ( X9 = bot_bo620288102e_bool
       => image_1828608335e_bool(cOMBK_1039769424_state(X15),X9) = bot_bo535777328l_bool )
      & ( X9 != bot_bo620288102e_bool
       => image_1828608335e_bool(cOMBK_1039769424_state(X15),X9) = insert1556680138e_bool(X15,bot_bo535777328l_bool) ) ),
    file('<stdin>',fact_58_image__constant__conv) ).

fof(c_0_345,axiom,
    ! [X15,X9] :
      ( ( X9 = bot_bo620288102e_bool
       => image_2131964411e_bool(cOMBK_2035509764_state(X15),X9) = bot_bo1649642514l_bool )
      & ( X9 != bot_bo620288102e_bool
       => image_2131964411e_bool(cOMBK_2035509764_state(X15),X9) = insert1325755072e_bool(X15,bot_bo1649642514l_bool) ) ),
    file('<stdin>',fact_57_image__constant__conv) ).

fof(c_0_346,axiom,
    ! [X15,X9] :
      ( ( X9 = bot_bo620288102e_bool
       => image_54689091_pname(cOMBK_168215364_state(X15),X9) = bot_bo844097828e_bool )
      & ( X9 != bot_bo620288102e_bool
       => image_54689091_pname(cOMBK_168215364_state(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ) ),
    file('<stdin>',fact_56_image__constant__conv) ).

fof(c_0_347,axiom,
    hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,dom_pname_com(body))),
    file('<stdin>',fact_298_finite__dom__body) ).

fof(c_0_348,axiom,
    ! [X33] :
      ( hBOOL(X33)
      | hBOOL(hAPP_bool_bool(fNot,X33)) ),
    file('<stdin>',help_fNot_2_1_U) ).

fof(c_0_349,axiom,
    ! [X17,X9] :
      ( is_fun_pname_bool(X9)
     => ( bot_bo620288102e_bool = image_2003357581_state(X17,X9)
      <=> X9 = bot_bo844097828e_bool ) ),
    file('<stdin>',fact_241_empty__is__image) ).

fof(c_0_350,axiom,
    ! [X17,X9] :
      ( is_fun_pname_bool(X9)
     => ( image_2003357581_state(X17,X9) = bot_bo620288102e_bool
      <=> X9 = bot_bo844097828e_bool ) ),
    file('<stdin>',fact_239_image__is__empty) ).

fof(c_0_351,axiom,
    ! [X1,X2] : is_bool(hAPP_f1022807134l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfeh) ).

fof(c_0_352,axiom,
    ! [X1,X2] : is_bool(hAPP_f595608956l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Oboo) ).

fof(c_0_353,axiom,
    ! [X1,X2] : is_bool(hAPP_f468958928l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__O) ).

fof(c_0_354,axiom,
    ! [X1,X2] : is_bool(hAPP_f389811538l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__) ).

fof(c_0_355,axiom,
    ! [X1,X2] : is_bool(hAPP_f166538662l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_It) ).

fof(c_0_356,axiom,
    ! [X1,X2] : is_pname(hAPP_f560369737_pname(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__O) ).

fof(c_0_357,axiom,
    ! [X1,X2] : is_fun_pname_bool(hAPP_H356885323e_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Ostate_J_0_003) ).

fof(c_0_358,axiom,
    ! [X1,X2] : is_bool(hAPP_H78829294e_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Ostate_J_0_002) ).

fof(c_0_359,axiom,
    ! [X1,X2] : is_pname(hAPP_H1621176307_pname(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Ostate_J_0) ).

fof(c_0_360,axiom,
    ! [X1,X2] : is_fun_pname_bool(image_1619336331_pname(X1,X2)),
    file('<stdin>',gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otri) ).

fof(c_0_361,axiom,
    ! [X1,X2] : is_fun_pname_bool(image_1705983821_pname(X1,X2)),
    file('<stdin>',gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL) ).

fof(c_0_362,axiom,
    ! [X1,X2] : is_fun_pname_bool(image_187965177_pname(X1,X2)),
    file('<stdin>',gsy_c_Set_Oimage_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__) ).

fof(c_0_363,axiom,
    ! [X1,X2] : is_fun1661590463l_bool(image_2131964411e_bool(X1,X2)),
    file('<stdin>',gsy_c_Set_Oimage_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Osta_001) ).

fof(c_0_364,axiom,
    ! [X1,X2] : is_fun_pname_bool(image_54689091_pname(X1,X2)),
    file('<stdin>',gsy_c_Set_Oimage_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Osta) ).

fof(c_0_365,axiom,
    ! [X33,X38] :
      ( is_bool(X33)
     => hAPP_f166538662l_bool(cOMBK_482404831l_bool(X33),X38) = X33 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Hoare____Mirabel) ).

fof(c_0_366,axiom,
    ! [X33,X38] :
      ( is_fun_pname_bool(X33)
     => hAPP_H356885323e_bool(cOMBK_2035509764_state(X33),X38) = X33 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Hoare_) ).

fof(c_0_367,axiom,
    ! [X33,X38] :
      ( is_pname(X33)
     => hAPP_f560369737_pname(cOMBK_1589414042e_bool(X33),X38) = X33 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__fun_Itc__Hoare____Mirabelle____jf) ).

fof(c_0_368,axiom,
    ! [X33,X38] :
      ( is_bool(X33)
     => hAPP_f971112728l_bool(cOMBK_129401207e_bool(X33),X38) = X33 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Hoare____Mirabelle____jfe) ).

fof(c_0_369,axiom,
    ! [X33,X38] :
      ( is_pname(X33)
     => hAPP_H1621176307_pname(cOMBK_168215364_state(X33),X38) = X33 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__Hoare____Mirabelle____jfehddehev_) ).

fof(c_0_370,axiom,
    ! [X33,X38] :
      ( is_bool(X33)
     => hAPP_H78829294e_bool(cOMBK_659609255_state(X33),X38) = X33 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____jfehddehev__) ).

fof(c_0_371,axiom,
    ! [X33,X38] :
      ( is_fun_pname_bool(X33)
     => hAPP_p61793385e_bool(cOMBK_37193422_pname(X33),X38) = X33 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__O) ).

fof(c_0_372,axiom,
    ! [X33,X38] :
      ( is_pname(X33)
     => hAPP_f1297739591_pname(cOMBK_948730864e_bool(X33),X38) = X33 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob) ).

fof(c_0_373,axiom,
    ! [X33,X38] :
      ( is_bool(X33)
     => hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X33),X38) = X33 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obo) ).

fof(c_0_374,axiom,
    ! [X33,X38] :
      ( is_pname(X33)
     => hAPP_pname_pname(cOMBK_pname_pname(X33),X38) = X33 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__Com__Opname_U) ).

fof(c_0_375,axiom,
    ! [X33,X38] :
      ( is_bool(X33)
     => hAPP_pname_bool(cOMBK_bool_pname(X33),X38) = X33 ),
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Opname_U) ).

fof(c_0_376,axiom,
    hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)),
    file('<stdin>',fact_48_finite_OemptyI) ).

fof(c_0_377,axiom,
    hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,bot_bo535777328l_bool)),
    file('<stdin>',fact_47_finite_OemptyI) ).

fof(c_0_378,axiom,
    hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,bot_bo1761158942l_bool)),
    file('<stdin>',fact_46_finite_OemptyI) ).

fof(c_0_379,axiom,
    hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,bot_bo1537088220l_bool)),
    file('<stdin>',fact_45_finite_OemptyI) ).

fof(c_0_380,axiom,
    hBOOL(hAPP_f971112728l_bool(finite364844667_state,bot_bo620288102e_bool)),
    file('<stdin>',fact_44_finite_OemptyI) ).

fof(c_0_381,axiom,
    hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)),
    file('<stdin>',fact_43_finite_OemptyI) ).

fof(c_0_382,axiom,
    ! [X12,X9] : bot_bo620288102e_bool != insert1415133716_state(X12,X9),
    file('<stdin>',fact_232_empty__not__insert) ).

fof(c_0_383,axiom,
    ! [X12,X9] : bot_bo844097828e_bool != insert_pname(X12,X9),
    file('<stdin>',fact_231_empty__not__insert) ).

fof(c_0_384,axiom,
    ! [X12,X9] : insert1415133716_state(X12,X9) != bot_bo620288102e_bool,
    file('<stdin>',fact_230_insert__not__empty) ).

fof(c_0_385,axiom,
    ! [X12,X9] : insert_pname(X12,X9) != bot_bo844097828e_bool,
    file('<stdin>',fact_229_insert__not__empty) ).

fof(c_0_386,axiom,
    ! [X33,X38] : hAPP_H1049623551e_bool(cOMBK_1039769424_state(X33),X38) = X33,
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I_013) ).

fof(c_0_387,axiom,
    ! [X33,X38] : hAPP_f1387463497_state(cOMBK_701929478e_bool(X33),X38) = X33,
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com___012) ).

fof(c_0_388,axiom,
    ! [X33,X38] : hAPP_p442853985e_bool(cOMBK_1706929794_pname(X33),X38) = X33,
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I) ).

fof(c_0_389,axiom,
    ! [X33,X38] : hAPP_f888949707_state(cOMBK_1503445380e_bool(X33),X38) = X33,
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com___007) ).

fof(c_0_390,axiom,
    ! [X33,X38] : hAPP_p1422361149_state(cOMBK_367030522_pname(X33),X38) = X33,
    file('<stdin>',help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__) ).

fof(c_0_391,axiom,
    ! [X1] :
      ( is_fun1661590463l_bool(X1)
     => is_fun1661590463l_bool(collec1974731493e_bool(X1)) ),
    file('<stdin>',gsy_c_Set_OCollect_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).

fof(c_0_392,axiom,
    ! [X1] :
      ( is_fun_pname_bool(X1)
     => is_fun_pname_bool(collect_pname(X1)) ),
    file('<stdin>',gsy_c_Set_OCollect_000tc__Com__Opname) ).

fof(c_0_393,axiom,
    ! [X1] :
      ( is_bool(X1)
     => is_fun1661590463l_bool(cOMBK_1857069011e_bool(X1)) ),
    file('<stdin>',gsy_c_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).

fof(c_0_394,axiom,
    ! [X1] :
      ( is_bool(X1)
     => is_fun_pname_bool(cOMBK_bool_pname(X1)) ),
    file('<stdin>',gsy_c_COMBK_000tc__HOL__Obool_000tc__Com__Opname) ).

fof(c_0_395,axiom,
    ! [X17] : image_2003357581_state(X17,bot_bo844097828e_bool) = bot_bo620288102e_bool,
    file('<stdin>',fact_240_image__empty) ).

fof(c_0_396,axiom,
    ! [X14] :
      ( is_fun1661590463l_bool(X14)
     => collec1974731493e_bool(X14) = X14 ),
    file('<stdin>',fact_256_Collect__def) ).

fof(c_0_397,axiom,
    ! [X14] :
      ( is_fun_pname_bool(X14)
     => collect_pname(X14) = X14 ),
    file('<stdin>',fact_254_Collect__def) ).

fof(c_0_398,axiom,
    ! [X1] : is_fun1661590463l_bool(dom_fu2081503504ol_com(X1)),
    file('<stdin>',gsy_c_Map_Odom_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Ocom) ).

fof(c_0_399,axiom,
    ! [X1] : is_bool(wt(X1)),
    file('<stdin>',gsy_c_Com_OWT) ).

fof(c_0_400,axiom,
    ! [X33] :
      ( is_bool(X33)
     => ( X33 = fTrue
        | X33 = fFalse ) ),
    file('<stdin>',help_fFalse_1_1_T) ).

fof(c_0_401,axiom,
    bot_bo844097828e_bool = collect_pname(cOMBK_bool_pname(fFalse)),
    file('<stdin>',fact_167_empty__def) ).

fof(c_0_402,axiom,
    bot_bo620288102e_bool = collec307967673_state(cOMBK_659609255_state(fFalse)),
    file('<stdin>',fact_166_empty__def) ).

fof(c_0_403,axiom,
    bot_bo1649642514l_bool = collec1974731493e_bool(cOMBK_1857069011e_bool(fFalse)),
    file('<stdin>',fact_165_empty__def) ).

fof(c_0_404,axiom,
    bot_bo535777328l_bool = collec1823980261e_bool(cOMBK_129401207e_bool(fFalse)),
    file('<stdin>',fact_164_empty__def) ).

fof(c_0_405,axiom,
    bot_bo1761158942l_bool = collec488126193l_bool(cOMBK_482404831l_bool(fFalse)),
    file('<stdin>',fact_163_empty__def) ).

fof(c_0_406,axiom,
    is_pname(undefined_pname(pname)),
    file('<stdin>',gsy_c_HOL_Oundefined_000tc__Com__Opname) ).

fof(c_0_407,axiom,
    ! [X14] : collec1823980261e_bool(X14) = X14,
    file('<stdin>',fact_257_Collect__def) ).

fof(c_0_408,axiom,
    ! [X14] : collec307967673_state(X14) = X14,
    file('<stdin>',fact_255_Collect__def) ).

fof(c_0_409,axiom,
    ~ hBOOL(fFalse),
    file('<stdin>',help_fFalse_1_1_U) ).

fof(c_0_410,axiom,
    is_bool(fTrue),
    file('<stdin>',gsy_c_fTrue) ).

fof(c_0_411,axiom,
    is_bool(fFalse),
    file('<stdin>',gsy_c_fFalse) ).

fof(c_0_412,axiom,
    is_fun1661590463l_bool(bot_bo1649642514l_bool),
    file('<stdin>',gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__) ).

fof(c_0_413,axiom,
    is_fun_pname_bool(bot_bo844097828e_bool),
    file('<stdin>',gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).

fof(c_0_414,axiom,
    is_fun1661590463l_bool(finite_finite_pname),
    file('<stdin>',gsy_c_Finite__Set_Ofinite_000tc__Com__Opname) ).

fof(c_0_415,axiom,
    ! [X8,X3] :
      ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X8)),X3)),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X8))),bot_bo620288102e_bool)))
     => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X8)),bot_bo620288102e_bool))) ),
    c_0_0 ).

fof(c_0_416,plain,
    ! [X14,X9,X11] :
      ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X11))
     => ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X11),X9))
       => ( hBOOL(hAPP_f166538662l_bool(X14,bot_bo535777328l_bool))
         => ( ! [X31,X32] :
                ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X32))
               => ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X31),X9))
                 => ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X31),X32))
                   => ( hBOOL(hAPP_f166538662l_bool(X14,X32))
                     => hBOOL(hAPP_f166538662l_bool(X14,insert1556680138e_bool(X31,X32))) ) ) ) )
           => hBOOL(hAPP_f166538662l_bool(X14,X11)) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_417,plain,
    ! [X14,X9,X11] :
      ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
     => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X11),X9))
       => ( hBOOL(hAPP_f1935102916l_bool(X14,bot_bo1649642514l_bool))
         => ( ! [X31,X32] :
                ( ( is_fun_pname_bool(X31)
                  & is_fun1661590463l_bool(X32) )
               => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X32))
                 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X31),X9))
                   => ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X31),X32))
                     => ( hBOOL(hAPP_f1935102916l_bool(X14,X32))
                       => hBOOL(hAPP_f1935102916l_bool(X14,insert1325755072e_bool(X31,X32))) ) ) ) ) )
           => hBOOL(hAPP_f1935102916l_bool(X14,X11)) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_418,plain,
    ! [X14,X9,X11] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X11))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X11),X9))
       => ( hBOOL(hAPP_f971112728l_bool(X14,bot_bo620288102e_bool))
         => ( ! [X31,X32] :
                ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X32))
               => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X31),X9))
                 => ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X31),X32))
                   => ( hBOOL(hAPP_f971112728l_bool(X14,X32))
                     => hBOOL(hAPP_f971112728l_bool(X14,insert1415133716_state(X31,X32))) ) ) ) )
           => hBOOL(hAPP_f971112728l_bool(X14,X11)) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_419,plain,
    ! [X14,X9,X11] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X11),X9))
       => ( hBOOL(hAPP_f1664156314l_bool(X14,bot_bo844097828e_bool))
         => ( ! [X31,X32] :
                ( ( is_pname(X31)
                  & is_fun_pname_bool(X32) )
               => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X32))
                 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X31),X9))
                   => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X31),X32))
                     => ( hBOOL(hAPP_f1664156314l_bool(X14,X32))
                       => hBOOL(hAPP_f1664156314l_bool(X14,insert_pname(X31,X32))) ) ) ) ) )
           => hBOOL(hAPP_f1664156314l_bool(X14,X11)) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_420,axiom,
    ! [X15,X3] :
      ( hBOOL(hoare_165779456gleton)
     => ( ! [X21] :
            ( is_pname(X21)
           => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),dom_pname_com(body)))
             => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X21)),bot_bo620288102e_bool))) ) )
       => ( hBOOL(wt(X15))
         => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X15),bot_bo620288102e_bool))) ) ) ),
    c_0_5 ).

fof(c_0_421,axiom,
    ! [X17,X9,X19] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_2003357581_state(X17,X9)))
       => ? [X35] :
            ( is_fun_pname_bool(X35)
            & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X9))
            & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35))
            & X19 = image_2003357581_state(X17,X35) ) ) ),
    c_0_6 ).

fof(c_0_422,plain,
    ! [X20,X17,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),image_2003357581_state(X17,X9)))
     => ~ ! [X21] :
            ( is_pname(X21)
           => ( X20 = hAPP_p1422361149_state(X17,X21)
             => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9)) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_423,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_2003357581_state(X17,X9)))
    <=> ? [X27] :
          ( is_fun_pname_bool(X27)
          & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X27),X9))
          & X19 = image_2003357581_state(X17,X27) ) ),
    c_0_8 ).

fof(c_0_424,axiom,
    ! [X23,X17,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X23),image_2003357581_state(X17,X9)))
    <=> ? [X21] :
          ( is_pname(X21)
          & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
          & X23 = hAPP_p1422361149_state(X17,X21) ) ),
    c_0_9 ).

fof(c_0_425,axiom,
    ! [X14,X13] :
      ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X14),X13))))
    <=> ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X14)))
        & hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X13))) ) ),
    c_0_10 ).

fof(c_0_426,axiom,
    ! [X14,X13] :
      ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X14),X13))))
    <=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X14)))
        & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X13))) ) ),
    c_0_11 ).

fof(c_0_427,axiom,
    ! [X14,X13] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X14),X13))))
    <=> ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X14)))
        & hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X13))) ) ),
    c_0_12 ).

fof(c_0_428,axiom,
    ! [X14,X13] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X14),X13))))
    <=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X14)))
        & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X13))) ) ),
    c_0_13 ).

fof(c_0_429,axiom,
    ! [X12,X14] : insert1556680138e_bool(X12,collec1823980261e_bool(X14)) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fimplies,cOMBB_1522210668e_bool(fNot,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X12))),X14)),
    c_0_14 ).

fof(c_0_430,axiom,
    ! [X12,X14] : insert1325755072e_bool(X12,collec1974731493e_bool(X14)) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X12))),X14)),
    c_0_15 ).

fof(c_0_431,axiom,
    ! [X12,X14] : insert1415133716_state(X12,collec307967673_state(X14)) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X12))),X14)),
    c_0_16 ).

fof(c_0_432,axiom,
    ! [X12,X14] : insert_pname(X12,collect_pname(X14)) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X12))),X14)),
    c_0_17 ).

fof(c_0_433,axiom,
    ! [X16,X9,X19] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X16,X9)),X19))
    <=> ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X19))
        & hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19)) ) ),
    c_0_18 ).

fof(c_0_434,axiom,
    ! [X16,X9,X19] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X16,X9)),X19))
    <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X19))
        & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19)) ) ),
    c_0_19 ).

fof(c_0_435,axiom,
    ! [X13,X14] :
      ( ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X14)))
        | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X13))) )
     => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X14),X13)))) ),
    c_0_20 ).

fof(c_0_436,axiom,
    ! [X13,X14] :
      ( ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X14)))
        | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X13))) )
     => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,X14),X13)))) ),
    c_0_21 ).

fof(c_0_437,axiom,
    ! [X13,X14] :
      ( ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(X14)))
        | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(X13))) )
     => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(cOMBS_1358309691l_bool(cOMBB_404111180l_bool(fconj,X14),X13)))) ),
    c_0_22 ).

fof(c_0_438,axiom,
    ! [X13,X14] :
      ( ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(X14)))
        | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(X13))) )
     => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(cOMBS_811933079l_bool(cOMBB_689948150l_bool(fconj,X14),X13)))) ),
    c_0_23 ).

fof(c_0_439,axiom,
    ! [X13,X14] :
      ( ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X14)))
        | hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X13))) )
     => hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,X14),X13)))) ),
    c_0_24 ).

fof(c_0_440,axiom,
    ! [X13,X14] :
      ( ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X14)))
        | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X13))) )
     => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X14),X13)))) ),
    c_0_25 ).

fof(c_0_441,axiom,
    ! [X19,X9] :
      ( ! [X21] :
          ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X9))
         => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X19)) )
     => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19)) ),
    c_0_26 ).

fof(c_0_442,axiom,
    ! [X19,X9] :
      ( ! [X21] :
          ( is_pname(X21)
         => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
           => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X19)) ) )
     => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19)) ),
    c_0_27 ).

fof(c_0_443,plain,
    ! [X19,X16,X9] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),insert1415133716_state(X16,X19)))
      <=> hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_444,plain,
    ! [X19,X16,X9] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),insert_pname(X16,X19)))
      <=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_445,axiom,
    ! [X17,X9,X19] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
     => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,image_2003357581_state(X17,X9)),image_2003357581_state(X17,X19))) ),
    c_0_30 ).

fof(c_0_446,axiom,
    ! [X12,X22,X26] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X22),X26))
     => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X12,X22)),insert1415133716_state(X12,X26))) ),
    c_0_31 ).

fof(c_0_447,axiom,
    ! [X12,X22,X26] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X26))
     => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X12,X22)),insert_pname(X12,X26))) ),
    c_0_32 ).

fof(c_0_448,axiom,
    ! [X17,X16,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
     => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_p1422361149_state(X17,X16)),image_2003357581_state(X17,X9))) ),
    c_0_33 ).

fof(c_0_449,axiom,
    ! [X16,X9,X19] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
       => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X19)) ) ),
    c_0_34 ).

fof(c_0_450,axiom,
    ! [X16,X9,X19] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
       => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X19)) ) ),
    c_0_35 ).

fof(c_0_451,axiom,
    ! [X19,X16,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
       => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X19)) ) ),
    c_0_36 ).

fof(c_0_452,axiom,
    ! [X19,X16,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
       => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X19)) ) ),
    c_0_37 ).

fof(c_0_453,axiom,
    ! [X16,X9,X19] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
       => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X19)) ) ),
    c_0_38 ).

fof(c_0_454,axiom,
    ! [X16,X9,X19] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
       => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X19)) ) ),
    c_0_39 ).

fof(c_0_455,axiom,
    ! [X22,X9,X19] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),X22))
       => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X22)) ) ),
    c_0_40 ).

fof(c_0_456,axiom,
    ! [X22,X9,X19] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X22))
       => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X22)) ) ),
    c_0_41 ).

fof(c_0_457,axiom,
    ! [X15,X9,X19] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9))
       => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19)) ) ),
    c_0_42 ).

fof(c_0_458,axiom,
    ! [X15,X9,X19] :
      ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X9),X19))
     => ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X15),X9))
       => hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X15),X19)) ) ),
    c_0_43 ).

fof(c_0_459,axiom,
    ! [X15,X9,X19] :
      ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X9),X19))
     => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X15),X9))
       => hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X15),X19)) ) ),
    c_0_44 ).

fof(c_0_460,axiom,
    ! [X15,X9,X19] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X15),X9))
       => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X15),X19)) ) ),
    c_0_45 ).

fof(c_0_461,axiom,
    ! [X4,X3,X7] :
      ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(X7,bot_bo620288102e_bool)))
     => ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4))
       => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(X7,X4))) ) ),
    c_0_46 ).

fof(c_0_462,axiom,
    ! [X12,X20,X9] :
      ( ( is_pname(X12)
        & is_pname(X20) )
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),insert_pname(X20,X9)))
      <=> ( X12 = X20
          | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9)) ) ) ),
    c_0_47 ).

fof(c_0_463,axiom,
    ! [X12,X20,X9] :
      ( ( is_pname(X12)
        & is_pname(X20) )
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),insert_pname(X20,X9)))
       => ( X12 != X20
         => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9)) ) ) ),
    c_0_48 ).

fof(c_0_464,axiom,
    ! [X12,X20,X9] :
      ( ( is_fun_pname_bool(X12)
        & is_fun_pname_bool(X20) )
     => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),insert1325755072e_bool(X20,X9)))
       => ( X12 != X20
         => hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),X9)) ) ) ),
    c_0_49 ).

fof(c_0_465,axiom,
    ! [X21,X24] : insert1556680138e_bool(X21,X24) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X21)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X24))),
    c_0_50 ).

fof(c_0_466,axiom,
    ! [X21,X24] : insert1325755072e_bool(X21,X24) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X21)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X24))),
    c_0_51 ).

fof(c_0_467,axiom,
    ! [X21,X24] : insert1415133716_state(X21,X24) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X21)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X24))),
    c_0_52 ).

fof(c_0_468,axiom,
    ! [X21,X24] : insert_pname(X21,X24) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X21)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X24))),
    c_0_53 ).

fof(c_0_469,axiom,
    ! [X12,X19] : insert1556680138e_bool(X12,X19) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X12)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X19))),
    c_0_54 ).

fof(c_0_470,axiom,
    ! [X12,X19] : insert1325755072e_bool(X12,X19) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X12)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X19))),
    c_0_55 ).

fof(c_0_471,axiom,
    ! [X12,X19] : insert1415133716_state(X12,X19) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X12)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X19))),
    c_0_56 ).

fof(c_0_472,axiom,
    ! [X12,X19] : insert_pname(X12,X19) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X12)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X19))),
    c_0_57 ).

fof(c_0_473,axiom,
    ! [X12,X20,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),insert1415133716_state(X20,X9)))
    <=> ( X12 = X20
        | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),X9)) ) ),
    c_0_58 ).

fof(c_0_474,axiom,
    ! [X12,X20,X9] :
      ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),insert1556680138e_bool(X20,X9)))
     => ( X12 != X20
       => hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),X9)) ) ),
    c_0_59 ).

fof(c_0_475,axiom,
    ! [X12,X20,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),insert1415133716_state(X20,X9)))
     => ( X12 != X20
       => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),X9)) ) ),
    c_0_60 ).

fof(c_0_476,axiom,
    ! [X20,X17,X16,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
     => ( X20 = hAPP_p1422361149_state(X17,X16)
       => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),image_2003357581_state(X17,X9))) ) ),
    c_0_61 ).

fof(c_0_477,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_p1422361149_state(X17,X16)
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
       => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),image_2003357581_state(X17,X9))) ) ),
    c_0_62 ).

fof(c_0_478,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_f560369737_pname(X17,X16)
     => ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X16),X9))
       => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),image_187965177_pname(X17,X9))) ) ),
    c_0_63 ).

fof(c_0_479,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_f1297739591_pname(X17,X16)
     => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),X9))
       => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),image_1283814551_pname(X17,X9))) ) ),
    c_0_64 ).

fof(c_0_480,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_pname_pname(X17,X16)
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
       => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),image_pname_pname(X17,X9))) ) ),
    c_0_65 ).

fof(c_0_481,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_H1621176307_pname(X17,X16)
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
       => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),image_54689091_pname(X17,X9))) ) ),
    c_0_66 ).

fof(c_0_482,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_f1387463497_state(X17,X16)
     => ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X16),X9))
       => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),image_18964633_state(X17,X9))) ) ),
    c_0_67 ).

fof(c_0_483,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_f888949707_state(X17,X16)
     => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),X9))
       => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),image_516545147_state(X17,X9))) ) ),
    c_0_68 ).

fof(c_0_484,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_p442853985e_bool(X17,X16)
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
       => hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X20),image_70449425e_bool(X17,X9))) ) ),
    c_0_69 ).

fof(c_0_485,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_p61793385e_bool(X17,X16)
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
       => hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X20),image_47868345e_bool(X17,X9))) ) ),
    c_0_70 ).

fof(c_0_486,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_H1049623551e_bool(X17,X16)
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
       => hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X20),image_1828608335e_bool(X17,X9))) ) ),
    c_0_71 ).

fof(c_0_487,axiom,
    ! [X9,X20,X17,X16] :
      ( X20 = hAPP_H356885323e_bool(X17,X16)
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
       => hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X20),image_2131964411e_bool(X17,X9))) ) ),
    c_0_72 ).

fof(c_0_488,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
     => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),image_2131964411e_bool(X17,X9)))
       => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19)) ) ),
    c_0_73 ).

fof(c_0_489,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
     => ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X19),image_1828608335e_bool(X17,X9)))
       => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X19)) ) ),
    c_0_74 ).

fof(c_0_490,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),image_54689091_pname(X17,X9)))
       => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
    c_0_75 ).

fof(c_0_491,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
     => ( hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X19),image_1761575943l_bool(X17,X9)))
       => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X19)) ) ),
    c_0_76 ).

fof(c_0_492,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
     => ( hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X19),image_1210605179l_bool(X17,X9)))
       => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X19)) ) ),
    c_0_77 ).

fof(c_0_493,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
     => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),image_47868345e_bool(X17,X9)))
       => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19)) ) ),
    c_0_78 ).

fof(c_0_494,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
     => ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X19),image_70449425e_bool(X17,X9)))
       => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X19)) ) ),
    c_0_79 ).

fof(c_0_495,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),image_pname_pname(X17,X9)))
       => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
    c_0_80 ).

fof(c_0_496,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
     => ( hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X19),image_288317893l_bool(X17,X9)))
       => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X19)) ) ),
    c_0_81 ).

fof(c_0_497,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
     => ( hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X19),image_1642285373l_bool(X17,X9)))
       => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X19)) ) ),
    c_0_82 ).

fof(c_0_498,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_516545147_state(X17,X9)))
       => hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19)) ) ),
    c_0_83 ).

fof(c_0_499,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_18964633_state(X17,X9)))
       => hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19)) ) ),
    c_0_84 ).

fof(c_0_500,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X9))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_892968839_state(X17,X9)))
       => hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19)) ) ),
    c_0_85 ).

fof(c_0_501,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X9))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_677922117_state(X17,X9)))
       => hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19)) ) ),
    c_0_86 ).

fof(c_0_502,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),image_1283814551_pname(X17,X9)))
       => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
    c_0_87 ).

fof(c_0_503,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),image_187965177_pname(X17,X9)))
       => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
    c_0_88 ).

fof(c_0_504,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X9))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),image_1619336331_pname(X17,X9)))
       => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
    c_0_89 ).

fof(c_0_505,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X9))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),image_1705983821_pname(X17,X9)))
       => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
    c_0_90 ).

fof(c_0_506,axiom,
    ! [X19,X17,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_2003357581_state(X17,X9)))
       => hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19)) ) ),
    c_0_91 ).

fof(c_0_507,plain,
    ! [X14,X12] :
      ( ( hBOOL(hAPP_f971112728l_bool(X14,X12))
       => collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X12)),X14)) = insert1556680138e_bool(X12,bot_bo535777328l_bool) )
      & ( ~ hBOOL(hAPP_f971112728l_bool(X14,X12))
       => collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X12)),X14)) = bot_bo535777328l_bool ) ),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_508,plain,
    ! [X14,X12] :
      ( ( hBOOL(hAPP_f1664156314l_bool(X14,X12))
       => collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X12)),X14)) = insert1325755072e_bool(X12,bot_bo1649642514l_bool) )
      & ( ~ hBOOL(hAPP_f1664156314l_bool(X14,X12))
       => collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X12)),X14)) = bot_bo1649642514l_bool ) ),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_509,plain,
    ! [X14,X12] :
      ( ( hBOOL(hAPP_H78829294e_bool(X14,X12))
       => collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X12)),X14)) = insert1415133716_state(X12,bot_bo620288102e_bool) )
      & ( ~ hBOOL(hAPP_H78829294e_bool(X14,X12))
       => collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X12)),X14)) = bot_bo620288102e_bool ) ),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_510,plain,
    ! [X14,X12] :
      ( ( hBOOL(hAPP_pname_bool(X14,X12))
       => collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X12)),X14)) = insert_pname(X12,bot_bo844097828e_bool) )
      & ( ~ hBOOL(hAPP_pname_bool(X14,X12))
       => collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X12)),X14)) = bot_bo844097828e_bool ) ),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_511,axiom,
    ! [X9,X19] :
      ( ( is_fun_pname_bool(X9)
        & is_fun_pname_bool(X19) )
     => ( X9 = X19
      <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
          & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9)) ) ) ),
    c_0_96 ).

fof(c_0_512,axiom,
    ! [X9,X19] :
      ( ( is_fun_pname_bool(X9)
        & is_fun_pname_bool(X19) )
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
       => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9))
         => X9 = X19 ) ) ),
    c_0_97 ).

fof(c_0_513,axiom,
    ! [X9,X19] :
      ( ( is_fun1661590463l_bool(X9)
        & is_fun1661590463l_bool(X19) )
     => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X9),X19))
       => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),X9))
         => X9 = X19 ) ) ),
    c_0_98 ).

fof(c_0_514,axiom,
    ! [X20,X9,X19] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
     => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),insert1415133716_state(X20,X19))) ),
    c_0_99 ).

fof(c_0_515,axiom,
    ! [X20,X9,X19] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
     => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),insert_pname(X20,X19))) ),
    c_0_100 ).

fof(c_0_516,axiom,
    ! [X20,X12,X19] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),X19))
     => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),insert1415133716_state(X20,X19))) ),
    c_0_101 ).

fof(c_0_517,axiom,
    ! [X20,X12,X19] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X19))
     => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),insert_pname(X20,X19))) ),
    c_0_102 ).

fof(c_0_518,plain,
    ! [X20,X12,X19] :
      ( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X19))
       => X12 = X20 )
     => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),insert_pname(X20,X19))) ),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_519,plain,
    ! [X20,X12,X19] :
      ( ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),X19))
       => X12 = X20 )
     => hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),insert1556680138e_bool(X20,X19))) ),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_520,plain,
    ! [X20,X12,X19] :
      ( ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),X19))
       => X12 = X20 )
     => hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),insert1325755072e_bool(X20,X19))) ),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_521,plain,
    ! [X20,X12,X19] :
      ( ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),X19))
       => X12 = X20 )
     => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),insert1415133716_state(X20,X19))) ),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_522,axiom,
    ! [X9,X19] :
      ( X9 = X19
    <=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
        & hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),X9)) ) ),
    c_0_107 ).

fof(c_0_523,axiom,
    ! [X9,X19] :
      ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X9),X19))
     => ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X19),X9))
       => X9 = X19 ) ),
    c_0_108 ).

fof(c_0_524,axiom,
    ! [X9,X19] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),X9))
       => X9 = X19 ) ),
    c_0_109 ).

fof(c_0_525,axiom,
    ! [X3,X7,X4] :
      ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(X7,X4)))
     => ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(X7,bot_bo620288102e_bool)))
        & hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4)) ) ),
    c_0_110 ).

fof(c_0_526,axiom,
    ! [X3,X6,X4] :
      ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X6),X4))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X6),X3))
       => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4)) ) ),
    c_0_111 ).

fof(c_0_527,axiom,
    ! [X4,X3,X5] :
      ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X5))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X4),X5))
       => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4)) ) ),
    c_0_112 ).

fof(c_0_528,plain,
    ! [X14,X12] :
      ( ( hBOOL(hAPP_f971112728l_bool(X14,X12))
       => collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X12)),X14)) = insert1556680138e_bool(X12,bot_bo535777328l_bool) )
      & ( ~ hBOOL(hAPP_f971112728l_bool(X14,X12))
       => collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X12)),X14)) = bot_bo535777328l_bool ) ),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_529,plain,
    ! [X14,X12] :
      ( ( hBOOL(hAPP_f1664156314l_bool(X14,X12))
       => collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X12)),X14)) = insert1325755072e_bool(X12,bot_bo1649642514l_bool) )
      & ( ~ hBOOL(hAPP_f1664156314l_bool(X14,X12))
       => collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X12)),X14)) = bot_bo1649642514l_bool ) ),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_530,plain,
    ! [X14,X12] :
      ( ( hBOOL(hAPP_H78829294e_bool(X14,X12))
       => collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X12)),X14)) = insert1415133716_state(X12,bot_bo620288102e_bool) )
      & ( ~ hBOOL(hAPP_H78829294e_bool(X14,X12))
       => collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X12)),X14)) = bot_bo620288102e_bool ) ),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_531,plain,
    ! [X14,X12] :
      ( ( hBOOL(hAPP_pname_bool(X14,X12))
       => collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X12)),X14)) = insert_pname(X12,bot_bo844097828e_bool) )
      & ( ~ hBOOL(hAPP_pname_bool(X14,X12))
       => collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X12)),X14)) = bot_bo844097828e_bool ) ),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_532,axiom,
    ! [X9,X16] :
      ( is_fun_pname_bool(X9)
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),insert_pname(X16,bot_bo844097828e_bool)))
       => ( X9 = bot_bo844097828e_bool
          | X9 = insert_pname(X16,bot_bo844097828e_bool) ) ) ),
    c_0_117 ).

fof(c_0_533,axiom,
    ! [X9,X16] :
      ( is_fun1661590463l_bool(X9)
     => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X9),insert1325755072e_bool(X16,bot_bo1649642514l_bool)))
       => ( X9 = bot_bo1649642514l_bool
          | X9 = insert1325755072e_bool(X16,bot_bo1649642514l_bool) ) ) ),
    c_0_118 ).

fof(c_0_534,plain,
    ! [X19,X16,X9] :
      ( ( is_fun_pname_bool(X19)
        & is_fun_pname_bool(X9) )
     => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
       => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X19))
         => ( insert_pname(X16,X9) = insert_pname(X16,X19)
          <=> X9 = X19 ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_535,axiom,
    ! [X9] :
      ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
     => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),X9)))) ),
    c_0_120 ).

fof(c_0_536,axiom,
    ! [X9] :
      ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9))
     => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(ord_le287025148l_bool),X9)))) ),
    c_0_121 ).

fof(c_0_537,axiom,
    ! [X9] :
      ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X9))
     => hBOOL(hAPP_f1022807134l_bool(finite34021339l_bool,collec256567069l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(ord_le889598034l_bool),X9)))) ),
    c_0_122 ).

fof(c_0_538,axiom,
    ! [X9] :
      ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X9))
     => hBOOL(hAPP_f595608956l_bool(finite1491191519l_bool,collec792590109l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(ord_le1375671464l_bool),X9)))) ),
    c_0_123 ).

fof(c_0_539,axiom,
    ! [X9] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
     => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(ord_le1285840794e_bool),X9)))) ),
    c_0_124 ).

fof(c_0_540,axiom,
    ! [X9] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
     => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),X9)))) ),
    c_0_125 ).

fof(c_0_541,axiom,
    ! [X20,X12] :
      ( ( is_pname(X20)
        & is_pname(X12) )
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),insert_pname(X12,bot_bo844097828e_bool)))
      <=> X20 = X12 ) ),
    c_0_126 ).

fof(c_0_542,axiom,
    ! [X20,X12] :
      ( ( is_pname(X20)
        & is_pname(X12) )
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),insert_pname(X12,bot_bo844097828e_bool)))
       => X20 = X12 ) ),
    c_0_127 ).

fof(c_0_543,axiom,
    ! [X9,X16] :
      ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X9),insert1556680138e_bool(X16,bot_bo535777328l_bool)))
     => ( X9 = bot_bo535777328l_bool
        | X9 = insert1556680138e_bool(X16,bot_bo535777328l_bool) ) ),
    c_0_128 ).

fof(c_0_544,axiom,
    ! [X9,X16] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),insert1415133716_state(X16,bot_bo620288102e_bool)))
     => ( X9 = bot_bo620288102e_bool
        | X9 = insert1415133716_state(X16,bot_bo620288102e_bool) ) ),
    c_0_129 ).

fof(c_0_545,axiom,
    ! [X15] :
      ( hBOOL(hoare_165779456gleton)
     => ( hBOOL(wT_bodies)
       => ( hBOOL(wt(X15))
         => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X15),bot_bo620288102e_bool))) ) ) ),
    c_0_130 ).

fof(c_0_546,axiom,
    ! [X17,X16,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
     => insert1415133716_state(hAPP_p1422361149_state(X17,X16),image_2003357581_state(X17,X9)) = image_2003357581_state(X17,X9) ),
    c_0_131 ).

fof(c_0_547,plain,
    ! [X19,X16,X9] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
     => ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X19))
       => ( insert1415133716_state(X16,X9) = insert1415133716_state(X16,X19)
        <=> X9 = X19 ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_548,axiom,
    ! [X20,X12] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),insert1415133716_state(X12,bot_bo620288102e_bool)))
    <=> X20 = X12 ),
    c_0_133 ).

fof(c_0_549,axiom,
    ! [X20,X12] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),insert1415133716_state(X12,bot_bo620288102e_bool)))
     => X20 = X12 ),
    c_0_134 ).

fof(c_0_550,axiom,
    ! [X9,X19] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19))
     => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
       => hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9)) ) ),
    c_0_135 ).

fof(c_0_551,axiom,
    ! [X9,X19] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
       => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9)) ) ),
    c_0_136 ).

fof(c_0_552,axiom,
    ! [X9,X19] :
      ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X19))
     => ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X9),X19))
       => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9)) ) ),
    c_0_137 ).

fof(c_0_553,axiom,
    ! [X9,X19] :
      ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
     => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X9),X19))
       => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9)) ) ),
    c_0_138 ).

fof(c_0_554,axiom,
    ! [X9,X19] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
     => ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19))
       => hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9)) ) ),
    c_0_139 ).

fof(c_0_555,axiom,
    ! [X9,X19] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
     => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
       => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9)) ) ),
    c_0_140 ).

fof(c_0_556,axiom,
    ! [X9,X19] :
      ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X9),X19))
     => ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X19))
       => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9)) ) ),
    c_0_141 ).

fof(c_0_557,axiom,
    ! [X9,X19] :
      ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X9),X19))
     => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
       => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9)) ) ),
    c_0_142 ).

fof(c_0_558,axiom,
    ! [X3,X6,X4] :
      ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X6),X4))
     => ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X6))
       => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4)) ) ),
    c_0_143 ).

fof(c_0_559,axiom,
    ! [X18,X9,X16] :
      ( ( is_pname(X18)
        & is_pname(X16) )
     => ( hBOOL(hAPP_pname_bool(insert_pname(X18,X9),X16))
      <=> ( X18 = X16
          | hBOOL(hAPP_pname_bool(X9,X16)) ) ) ),
    c_0_144 ).

fof(c_0_560,axiom,
    ! [X4,X3] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X4),X3))
     => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4)) ),
    c_0_145 ).

fof(c_0_561,axiom,
    ! [X18,X9,X16] :
      ( hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X18,X9),X16))
    <=> ( X18 = X16
        | hBOOL(hAPP_H78829294e_bool(X9,X16)) ) ),
    c_0_146 ).

fof(c_0_562,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X16),X9))
     => image_187965177_pname(cOMBK_1589414042e_bool(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ),
    c_0_147 ).

fof(c_0_563,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),X9))
     => image_1283814551_pname(cOMBK_948730864e_bool(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ),
    c_0_148 ).

fof(c_0_564,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X16),X9))
     => image_18964633_state(cOMBK_701929478e_bool(X15),X9) = insert1415133716_state(X15,bot_bo620288102e_bool) ),
    c_0_149 ).

fof(c_0_565,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),X9))
     => image_516545147_state(cOMBK_1503445380e_bool(X15),X9) = insert1415133716_state(X15,bot_bo620288102e_bool) ),
    c_0_150 ).

fof(c_0_566,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
     => image_pname_pname(cOMBK_pname_pname(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ),
    c_0_151 ).

fof(c_0_567,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
     => image_70449425e_bool(cOMBK_1706929794_pname(X15),X9) = insert1556680138e_bool(X15,bot_bo535777328l_bool) ),
    c_0_152 ).

fof(c_0_568,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
     => image_47868345e_bool(cOMBK_37193422_pname(X15),X9) = insert1325755072e_bool(X15,bot_bo1649642514l_bool) ),
    c_0_153 ).

fof(c_0_569,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
     => image_1828608335e_bool(cOMBK_1039769424_state(X15),X9) = insert1556680138e_bool(X15,bot_bo535777328l_bool) ),
    c_0_154 ).

fof(c_0_570,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
     => image_2131964411e_bool(cOMBK_2035509764_state(X15),X9) = insert1325755072e_bool(X15,bot_bo1649642514l_bool) ),
    c_0_155 ).

fof(c_0_571,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
     => image_54689091_pname(cOMBK_168215364_state(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ),
    c_0_156 ).

fof(c_0_572,axiom,
    ! [X15,X16,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
     => image_2003357581_state(cOMBK_367030522_pname(X15),X9) = insert1415133716_state(X15,bot_bo620288102e_bool) ),
    c_0_157 ).

fof(c_0_573,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X12,X9)))
    <=> hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9)) ),
    c_0_158 ).

fof(c_0_574,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X12,X9)))
    <=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9)) ),
    c_0_159 ).

fof(c_0_575,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X12,X9)))
    <=> hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9)) ),
    c_0_160 ).

fof(c_0_576,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X12,X9)))
    <=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9)) ),
    c_0_161 ).

fof(c_0_577,axiom,
    ! [X16,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
    <=> hBOOL(hAPP_H78829294e_bool(X9,X16)) ),
    c_0_162 ).

fof(c_0_578,axiom,
    ! [X16,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
    <=> hBOOL(hAPP_pname_bool(X9,X16)) ),
    c_0_163 ).

fof(c_0_579,axiom,
    ! [X12,X20,X15,X25] :
      ( ( is_pname(X12)
        & is_pname(X20)
        & is_pname(X15)
        & is_pname(X25) )
     => ( insert_pname(X12,insert_pname(X20,bot_bo844097828e_bool)) = insert_pname(X15,insert_pname(X25,bot_bo844097828e_bool))
      <=> ( ( X12 = X15
            & X20 = X25 )
          | ( X12 = X25
            & X20 = X15 ) ) ) ),
    c_0_164 ).

fof(c_0_580,axiom,
    ! [X12,X9] :
      ( is_fun_pname_bool(X9)
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9))
       => insert_pname(X12,X9) = X9 ) ),
    c_0_165 ).

fof(c_0_581,plain,
    ! [X9] :
      ( is_fun_pname_bool(X9)
     => ( ! [X21] :
            ( is_pname(X21)
           => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9)) )
      <=> X9 = bot_bo844097828e_bool ) ),
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_582,plain,
    ! [X9] :
      ( is_fun1661590463l_bool(X9)
     => ( ! [X21] :
            ( is_fun_pname_bool(X21)
           => ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X21),X9)) )
      <=> X9 = bot_bo1649642514l_bool ) ),
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_583,axiom,
    ! [X9] :
      ( is_fun_pname_bool(X9)
     => ( ? [X21] :
            ( is_pname(X21)
            & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9)) )
      <=> X9 != bot_bo844097828e_bool ) ),
    c_0_168 ).

fof(c_0_584,axiom,
    ! [X9] :
      ( is_fun1661590463l_bool(X9)
     => ( ? [X21] :
            ( is_fun_pname_bool(X21)
            & hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X21),X9)) )
      <=> X9 != bot_bo1649642514l_bool ) ),
    c_0_169 ).

fof(c_0_585,plain,
    ! [X39,X40] :
      ( ( is_fun_pname_bool(X39)
        & is_fun_pname_bool(X40) )
     => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X39),X40))
        | X39 = X40 ) ),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_586,plain,
    ! [X39,X40] :
      ( ( is_pname(X39)
        & is_pname(X40) )
     => ( ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X39),X40))
        | X39 = X40 ) ),
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_587,axiom,
    is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))),
    c_0_172 ).

fof(c_0_588,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),X9))
     => insert1415133716_state(X12,X9) = X9 ),
    c_0_173 ).

fof(c_0_589,plain,
    ! [X33,X38] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X33),X38))
      | ~ hBOOL(X33)
      | hBOOL(X38) ),
    inference(fof_simplification,[status(thm)],[c_0_174]) ).

fof(c_0_590,plain,
    ! [X33,X38] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X33),X38))
      | hBOOL(X33)
      | hBOOL(X38) ),
    inference(fof_simplification,[status(thm)],[c_0_175]) ).

fof(c_0_591,axiom,
    ! [X19,X12] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),insert1415133716_state(X12,X19))),
    c_0_176 ).

fof(c_0_592,axiom,
    ! [X19,X12] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),insert_pname(X12,X19))),
    c_0_177 ).

fof(c_0_593,axiom,
    ! [X12,X19] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),insert1415133716_state(X12,X19))),
    c_0_178 ).

fof(c_0_594,axiom,
    ! [X12,X19] : hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),insert_pname(X12,X19))),
    c_0_179 ).

fof(c_0_595,plain,
    ! [X33,X38] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X33),X38))
      | hBOOL(X38) ),
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_596,plain,
    ! [X33,X38] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X33),X38))
      | hBOOL(X33) ),
    inference(fof_simplification,[status(thm)],[c_0_181]) ).

fof(c_0_597,axiom,
    ! [X9] :
      ( is_fun_pname_bool(X9)
     => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),bot_bo844097828e_bool))
      <=> X9 = bot_bo844097828e_bool ) ),
    c_0_182 ).

fof(c_0_598,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
     => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X12,X9))) ),
    c_0_183 ).

fof(c_0_599,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9))
     => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X12,X9))) ),
    c_0_184 ).

fof(c_0_600,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X9))
     => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,insert203537868l_bool(X12,X9))) ),
    c_0_185 ).

fof(c_0_601,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X9))
     => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,insert1117693814l_bool(X12,X9))) ),
    c_0_186 ).

fof(c_0_602,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
     => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X12,X9))) ),
    c_0_187 ).

fof(c_0_603,axiom,
    ! [X12,X9] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
     => hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X12,X9))) ),
    c_0_188 ).

fof(c_0_604,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
     => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X10,X11))) ),
    c_0_189 ).

fof(c_0_605,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X11))
     => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_54689091_pname(X10,X11))) ),
    c_0_190 ).

fof(c_0_606,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X11))
     => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_2131964411e_bool(X10,X11))) ),
    c_0_191 ).

fof(c_0_607,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X11))
     => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_1828608335e_bool(X10,X11))) ),
    c_0_192 ).

fof(c_0_608,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X11))
     => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_1761575943l_bool(X10,X11))) ),
    c_0_193 ).

fof(c_0_609,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X11))
     => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1210605179l_bool(X10,X11))) ),
    c_0_194 ).

fof(c_0_610,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
     => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X10,X11))) ),
    c_0_195 ).

fof(c_0_611,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
     => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_70449425e_bool(X10,X11))) ),
    c_0_196 ).

fof(c_0_612,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
     => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_288317893l_bool(X10,X11))) ),
    c_0_197 ).

fof(c_0_613,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
     => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1642285373l_bool(X10,X11))) ),
    c_0_198 ).

fof(c_0_614,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
     => hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_516545147_state(X10,X11))) ),
    c_0_199 ).

fof(c_0_615,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X11))
     => hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_18964633_state(X10,X11))) ),
    c_0_200 ).

fof(c_0_616,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X11))
     => hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_892968839_state(X10,X11))) ),
    c_0_201 ).

fof(c_0_617,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X11))
     => hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_677922117_state(X10,X11))) ),
    c_0_202 ).

fof(c_0_618,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
     => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X10,X11))) ),
    c_0_203 ).

fof(c_0_619,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X11))
     => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_187965177_pname(X10,X11))) ),
    c_0_204 ).

fof(c_0_620,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X11))
     => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1619336331_pname(X10,X11))) ),
    c_0_205 ).

fof(c_0_621,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X11))
     => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1705983821_pname(X10,X11))) ),
    c_0_206 ).

fof(c_0_622,axiom,
    ! [X10,X11] :
      ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
     => hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_2003357581_state(X10,X11))) ),
    c_0_207 ).

fof(c_0_623,plain,
    ! [X9] :
      ( ! [X21] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X9))
    <=> X9 = bot_bo620288102e_bool ),
    inference(fof_simplification,[status(thm)],[c_0_208]) ).

fof(c_0_624,plain,
    ! [X9] :
      ( ! [X21] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X21),X9))
    <=> X9 = bot_bo535777328l_bool ),
    inference(fof_simplification,[status(thm)],[c_0_209]) ).

fof(c_0_625,axiom,
    ! [X9] :
      ( ? [X21] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X9))
    <=> X9 != bot_bo620288102e_bool ),
    c_0_210 ).

fof(c_0_626,axiom,
    ! [X9] :
      ( ? [X21] : hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X21),X9))
    <=> X9 != bot_bo535777328l_bool ),
    c_0_211 ).

fof(c_0_627,plain,
    ! [X12,X9] :
      ( X9 = bot_bo844097828e_bool
     => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_212]) ).

fof(c_0_628,plain,
    ! [X12,X9] :
      ( X9 = bot_bo620288102e_bool
     => ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_213]) ).

fof(c_0_629,plain,
    ! [X12,X9] :
      ( X9 = bot_bo535777328l_bool
     => ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_214]) ).

fof(c_0_630,plain,
    ! [X12,X9] :
      ( X9 = bot_bo1649642514l_bool
     => ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_215]) ).

fof(c_0_631,plain,
    ! [X39,X40] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X39),X40))
      | X39 = X40 ),
    inference(fof_simplification,[status(thm)],[c_0_216]) ).

fof(c_0_632,plain,
    ! [X39,X40] :
      ( ~ hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X39),X40))
      | X39 = X40 ),
    inference(fof_simplification,[status(thm)],[c_0_217]) ).

fof(c_0_633,axiom,
    ! [X12,X20,X15,X25] :
      ( insert1415133716_state(X12,insert1415133716_state(X20,bot_bo620288102e_bool)) = insert1415133716_state(X15,insert1415133716_state(X25,bot_bo620288102e_bool))
    <=> ( ( X12 = X15
          & X20 = X25 )
        | ( X12 = X25
          & X20 = X15 ) ) ),
    c_0_218 ).

fof(c_0_634,axiom,
    ! [X28,X12,X20] :
      ( hAPP_p799580910on_com(X28,X12) = some_com(X20)
     => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),dom_pname_com(X28))) ),
    c_0_219 ).

fof(c_0_635,axiom,
    ! [X9] :
      ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),bot_bo620288102e_bool))
    <=> X9 = bot_bo620288102e_bool ),
    c_0_220 ).

fof(c_0_636,plain,
    ! [X15] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),bot_bo844097828e_bool)),
    inference(fof_simplification,[status(thm)],[c_0_221]) ).

fof(c_0_637,plain,
    ! [X15] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X15),bot_bo620288102e_bool)),
    inference(fof_simplification,[status(thm)],[c_0_222]) ).

fof(c_0_638,plain,
    ! [X15] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X15),bot_bo535777328l_bool)),
    inference(fof_simplification,[status(thm)],[c_0_223]) ).

fof(c_0_639,plain,
    ! [X15] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X15),bot_bo1649642514l_bool)),
    inference(fof_simplification,[status(thm)],[c_0_224]) ).

fof(c_0_640,plain,
    ! [X12] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),bot_bo844097828e_bool)),
    inference(fof_simplification,[status(thm)],[c_0_225]) ).

fof(c_0_641,plain,
    ! [X12] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),bot_bo535777328l_bool)),
    inference(fof_simplification,[status(thm)],[c_0_226]) ).

fof(c_0_642,plain,
    ! [X12] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),bot_bo1649642514l_bool)),
    inference(fof_simplification,[status(thm)],[c_0_227]) ).

fof(c_0_643,plain,
    ! [X12] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),bot_bo620288102e_bool)),
    inference(fof_simplification,[status(thm)],[c_0_228]) ).

fof(c_0_644,axiom,
    ! [X33] :
      ( hBOOL(wt(hAPP_pname_com(body_1,X33)))
     => ~ ! [X34] : hAPP_p799580910on_com(body,X33) != some_com(X34) ),
    c_0_229 ).

fof(c_0_645,axiom,
    ! [X33,X38,X41] : hAPP_f166538662l_bool(cOMBS_1358309691l_bool(X33,X38),X41) = hAPP_bool_bool(hAPP_f2143399574l_bool(X33,X41),hAPP_f166538662l_bool(X38,X41)),
    c_0_230 ).

fof(c_0_646,axiom,
    ! [X33,X38,X41] : hAPP_f971112728l_bool(cOMBS_2066081387l_bool(X33,X38),X41) = hAPP_bool_bool(hAPP_f637090980l_bool(X33,X41),hAPP_f971112728l_bool(X38,X41)),
    c_0_231 ).

fof(c_0_647,axiom,
    ! [X33,X38,X41] : hAPP_f1935102916l_bool(cOMBS_811933079l_bool(X33,X38),X41) = hAPP_bool_bool(hAPP_f32027384l_bool(X33,X41),hAPP_f1935102916l_bool(X38,X41)),
    c_0_232 ).

fof(c_0_648,axiom,
    ! [X33,X38,X41] : hAPP_H78829294e_bool(cOMBS_458705923l_bool(X33,X38),X41) = hAPP_bool_bool(hAPP_H1187982158l_bool(X33,X41),hAPP_H78829294e_bool(X38,X41)),
    c_0_233 ).

fof(c_0_649,axiom,
    ! [X33,X38,X41] : hAPP_f1664156314l_bool(cOMBS_350070575l_bool(X33,X38),X41) = hAPP_bool_bool(hAPP_f1476298914l_bool(X33,X41),hAPP_f1664156314l_bool(X38,X41)),
    c_0_234 ).

fof(c_0_650,axiom,
    ! [X33,X38,X41] : hAPP_pname_bool(cOMBS_568398431l_bool(X33,X38),X41) = hAPP_bool_bool(hAPP_p393069232l_bool(X33,X41),hAPP_pname_bool(X38,X41)),
    c_0_235 ).

fof(c_0_651,axiom,
    ! [X17,X12,X19] : image_2003357581_state(X17,insert_pname(X12,X19)) = insert1415133716_state(hAPP_p1422361149_state(X17,X12),image_2003357581_state(X17,X19)),
    c_0_236 ).

fof(c_0_652,axiom,
    ! [X33,X38,X41] : hAPP_f468958928l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(X33),X38),X41) = hAPP_f468958928l_bool(hAPP_f667366769l_bool(X33,X41),X38),
    c_0_237 ).

fof(c_0_653,axiom,
    ! [X33,X38,X41] : hAPP_f166538662l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(X33),X38),X41) = hAPP_f166538662l_bool(hAPP_f585161855l_bool(X33,X41),X38),
    c_0_238 ).

fof(c_0_654,axiom,
    ! [X33,X38,X41] : hAPP_f971112728l_bool(hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(X33),X38),X41) = hAPP_f166538662l_bool(hAPP_f210337421l_bool(X33,X41),X38),
    c_0_239 ).

fof(c_0_655,axiom,
    ! [X33,X38,X41] : hAPP_f389811538l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(X33),X38),X41) = hAPP_f389811538l_bool(hAPP_f1759205631l_bool(X33,X41),X38),
    c_0_240 ).

fof(c_0_656,axiom,
    ! [X33,X38,X41] : hAPP_f971112728l_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(X33),X38),X41) = hAPP_f971112728l_bool(hAPP_f72706945l_bool(X33,X41),X38),
    c_0_241 ).

fof(c_0_657,axiom,
    ! [X33,X38,X41] : hAPP_H78829294e_bool(hAPP_f98417237e_bool(cOMBC_1734175330l_bool(X33),X38),X41) = hAPP_f971112728l_bool(hAPP_H30606679l_bool(X33,X41),X38),
    c_0_242 ).

fof(c_0_658,axiom,
    ! [X33,X38,X41] : hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(X33),X38),X41) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(X33,X41),X38),
    c_0_243 ).

fof(c_0_659,axiom,
    ! [X33,X38,X41] : hAPP_H78829294e_bool(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(X33),X38),X41) = hAPP_H78829294e_bool(hAPP_H1049623551e_bool(X33,X41),X38),
    c_0_244 ).

fof(c_0_660,axiom,
    ! [X33,X38,X41] : hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(X33),X38),X41) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(X33,X41),X38),
    c_0_245 ).

fof(c_0_661,axiom,
    ! [X33,X38,X41] : hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(X33),X38),X41) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(X33,X41),X38),
    c_0_246 ).

fof(c_0_662,axiom,
    ! [X33,X38,X41] : hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(X33),X38),X41) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(X33,X41),X38),
    c_0_247 ).

fof(c_0_663,axiom,
    ! [X33,X38,X41] : hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(X33),X38),X41) = hAPP_pname_bool(hAPP_p61793385e_bool(X33,X41),X38),
    c_0_248 ).

fof(c_0_664,plain,
    ! [X38,X33] :
      ( ~ hBOOL(X33)
      | ~ hBOOL(X38)
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X33),X38)) ),
    inference(fof_simplification,[status(thm)],[c_0_249]) ).

fof(c_0_665,plain,
    ! [X33,X38] :
      ( ~ hBOOL(X38)
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X33),X38)) ),
    inference(fof_simplification,[status(thm)],[c_0_250]) ).

fof(c_0_666,plain,
    ! [X33,X38] :
      ( ~ hBOOL(X38)
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X33),X38)) ),
    inference(fof_simplification,[status(thm)],[c_0_251]) ).

fof(c_0_667,plain,
    ! [X38,X33] :
      ( ~ hBOOL(X33)
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X33),X38)) ),
    inference(fof_simplification,[status(thm)],[c_0_252]) ).

fof(c_0_668,axiom,
    ! [X38,X33] :
      ( hBOOL(X33)
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X33),X38)) ),
    c_0_253 ).

fof(c_0_669,axiom,
    ! [X33,X38,X41] : hAPP_f2143399574l_bool(cOMBB_404111180l_bool(X33,X38),X41) = hAPP_b589554111l_bool(X33,hAPP_f166538662l_bool(X38,X41)),
    c_0_254 ).

fof(c_0_670,axiom,
    ! [X33,X38,X41] : hAPP_f637090980l_bool(cOMBB_1585081418e_bool(X33,X38),X41) = hAPP_b589554111l_bool(X33,hAPP_f971112728l_bool(X38,X41)),
    c_0_255 ).

fof(c_0_671,axiom,
    ! [X33,X38,X41] : hAPP_f32027384l_bool(cOMBB_689948150l_bool(X33,X38),X41) = hAPP_b589554111l_bool(X33,hAPP_f1935102916l_bool(X38,X41)),
    c_0_256 ).

fof(c_0_672,axiom,
    ! [X33,X38,X41] : hAPP_H1187982158l_bool(cOMBB_962198420_state(X33,X38),X41) = hAPP_b589554111l_bool(X33,hAPP_H78829294e_bool(X38,X41)),
    c_0_257 ).

fof(c_0_673,axiom,
    ! [X33,X38,X41] : hAPP_f971112728l_bool(cOMBB_1522210668e_bool(X33,X38),X41) = hAPP_bool_bool(X33,hAPP_f971112728l_bool(X38,X41)),
    c_0_258 ).

fof(c_0_674,axiom,
    ! [X33,X38,X41] : hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(X33,X38),X41) = hAPP_b589554111l_bool(X33,hAPP_f1664156314l_bool(X38,X41)),
    c_0_259 ).

fof(c_0_675,axiom,
    ! [X33,X38,X41] : hAPP_H78829294e_bool(cOMBB_2144135922_state(X33,X38),X41) = hAPP_bool_bool(X33,hAPP_H78829294e_bool(X38,X41)),
    c_0_260 ).

fof(c_0_676,axiom,
    ! [X33,X38,X41] : hAPP_p1422361149_state(cOMBB_699532858_pname(X33,X38),X41) = hAPP_c1126217667_state(X33,hAPP_pname_com(X38,X41)),
    c_0_261 ).

fof(c_0_677,axiom,
    ! [X33,X38,X41] : hAPP_p393069232l_bool(cOMBB_675860798_pname(X33,X38),X41) = hAPP_b589554111l_bool(X33,hAPP_pname_bool(X38,X41)),
    c_0_262 ).

fof(c_0_678,axiom,
    ! [X33,X38,X41] : hAPP_f1664156314l_bool(cOMBB_307249310e_bool(X33,X38),X41) = hAPP_bool_bool(X33,hAPP_f1664156314l_bool(X38,X41)),
    c_0_263 ).

fof(c_0_679,axiom,
    ! [X33,X38,X41] : hAPP_pname_com(cOMBB_923936821_pname(X33,X38),X41) = hAPP_option_com_com(X33,hAPP_p799580910on_com(X38,X41)),
    c_0_264 ).

fof(c_0_680,axiom,
    ! [X33,X38,X41] : hAPP_pname_bool(cOMBB_647938656_pname(X33,X38),X41) = hAPP_bool_bool(X33,hAPP_pname_bool(X38,X41)),
    c_0_265 ).

fof(c_0_681,axiom,
    ! [X16,X18,X9] : insert1415133716_state(X16,insert1415133716_state(X18,X9)) = insert1415133716_state(X18,insert1415133716_state(X16,X9)),
    c_0_266 ).

fof(c_0_682,axiom,
    ! [X16,X18,X9] : insert_pname(X16,insert_pname(X18,X9)) = insert_pname(X18,insert_pname(X16,X9)),
    c_0_267 ).

fof(c_0_683,axiom,
    ! [X39,X40] :
      ( X39 != X40
      | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X39),X40)) ),
    c_0_268 ).

fof(c_0_684,axiom,
    ! [X39,X40] :
      ( X39 != X40
      | hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X39),X40)) ),
    c_0_269 ).

fof(c_0_685,axiom,
    ! [X39,X40] :
      ( X39 != X40
      | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X39),X40)) ),
    c_0_270 ).

fof(c_0_686,axiom,
    ! [X39,X40] :
      ( X39 != X40
      | hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X39),X40)) ),
    c_0_271 ).

fof(c_0_687,axiom,
    ! [X9,X19] :
      ( X9 = X19
     => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19)) ),
    c_0_272 ).

fof(c_0_688,axiom,
    ! [X9,X19] :
      ( X9 = X19
     => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19)) ),
    c_0_273 ).

fof(c_0_689,axiom,
    ! [X9,X19] :
      ( X9 = X19
     => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),X9)) ),
    c_0_274 ).

fof(c_0_690,axiom,
    ! [X9,X19] :
      ( X9 = X19
     => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9)) ),
    c_0_275 ).

fof(c_0_691,plain,
    ! [X9,X19] :
      ( X9 = X19
     => ~ ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
         => ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),X9)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_276]) ).

fof(c_0_692,plain,
    ! [X9,X19] :
      ( X9 = X19
     => ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
         => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_277]) ).

fof(c_0_693,axiom,
    ! [X9] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X9)),
    c_0_278 ).

fof(c_0_694,axiom,
    ! [X9] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X9)),
    c_0_279 ).

fof(c_0_695,axiom,
    ! [X9] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X9)),
    c_0_280 ).

fof(c_0_696,axiom,
    ! [X9] : hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,bot_bo535777328l_bool),X9)),
    c_0_281 ).

fof(c_0_697,axiom,
    ! [X9] : hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,bot_bo1649642514l_bool),X9)),
    c_0_282 ).

fof(c_0_698,axiom,
    ! [X9] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,bot_bo620288102e_bool),X9)),
    c_0_283 ).

fof(c_0_699,plain,
    ! [X14] :
      ( bot_bo844097828e_bool = collect_pname(X14)
    <=> ! [X21] :
          ( is_pname(X21)
         => ~ hBOOL(hAPP_pname_bool(X14,X21)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_284]) ).

fof(c_0_700,plain,
    ! [X14] :
      ( bot_bo1649642514l_bool = collec1974731493e_bool(X14)
    <=> ! [X21] :
          ( is_fun_pname_bool(X21)
         => ~ hBOOL(hAPP_f1664156314l_bool(X14,X21)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_285]) ).

fof(c_0_701,plain,
    ! [X14] :
      ( bot_bo1537088220l_bool = collec1613912337l_bool(X14)
    <=> ! [X21] :
          ( is_fun1661590463l_bool(X21)
         => ~ hBOOL(hAPP_f1935102916l_bool(X14,X21)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_286]) ).

fof(c_0_702,plain,
    ! [X14] :
      ( collect_pname(X14) = bot_bo844097828e_bool
    <=> ! [X21] :
          ( is_pname(X21)
         => ~ hBOOL(hAPP_pname_bool(X14,X21)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_287]) ).

fof(c_0_703,plain,
    ! [X14] :
      ( collec1974731493e_bool(X14) = bot_bo1649642514l_bool
    <=> ! [X21] :
          ( is_fun_pname_bool(X21)
         => ~ hBOOL(hAPP_f1664156314l_bool(X14,X21)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_288]) ).

fof(c_0_704,plain,
    ! [X14] :
      ( collec1613912337l_bool(X14) = bot_bo1537088220l_bool
    <=> ! [X21] :
          ( is_fun1661590463l_bool(X21)
         => ~ hBOOL(hAPP_f1935102916l_bool(X14,X21)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_289]) ).

fof(c_0_705,axiom,
    ! [X36,X37] :
      ( ( is_pname(X36)
        & is_pname(X37) )
     => ( hAPP_pname_com(body_1,X36) = hAPP_pname_com(body_1,X37)
      <=> X36 = X37 ) ),
    c_0_290 ).

fof(c_0_706,axiom,
    ! [X12,X20] :
      ( ( is_pname(X12)
        & is_pname(X20) )
     => ( insert_pname(X12,bot_bo844097828e_bool) = insert_pname(X20,bot_bo844097828e_bool)
       => X12 = X20 ) ),
    c_0_291 ).

fof(c_0_707,plain,
    ! [X14] :
      ( bot_bo620288102e_bool = collec307967673_state(X14)
    <=> ! [X21] : ~ hBOOL(hAPP_H78829294e_bool(X14,X21)) ),
    inference(fof_simplification,[status(thm)],[c_0_292]) ).

fof(c_0_708,plain,
    ! [X14] :
      ( bot_bo535777328l_bool = collec1823980261e_bool(X14)
    <=> ! [X21] : ~ hBOOL(hAPP_f971112728l_bool(X14,X21)) ),
    inference(fof_simplification,[status(thm)],[c_0_293]) ).

fof(c_0_709,plain,
    ! [X14] :
      ( bot_bo1761158942l_bool = collec488126193l_bool(X14)
    <=> ! [X21] : ~ hBOOL(hAPP_f166538662l_bool(X14,X21)) ),
    inference(fof_simplification,[status(thm)],[c_0_294]) ).

fof(c_0_710,plain,
    ! [X14] :
      ( collec307967673_state(X14) = bot_bo620288102e_bool
    <=> ! [X21] : ~ hBOOL(hAPP_H78829294e_bool(X14,X21)) ),
    inference(fof_simplification,[status(thm)],[c_0_295]) ).

fof(c_0_711,plain,
    ! [X14] :
      ( collec1823980261e_bool(X14) = bot_bo535777328l_bool
    <=> ! [X21] : ~ hBOOL(hAPP_f971112728l_bool(X14,X21)) ),
    inference(fof_simplification,[status(thm)],[c_0_296]) ).

fof(c_0_712,plain,
    ! [X14] :
      ( collec488126193l_bool(X14) = bot_bo1761158942l_bool
    <=> ! [X21] : ~ hBOOL(hAPP_f166538662l_bool(X14,X21)) ),
    inference(fof_simplification,[status(thm)],[c_0_297]) ).

fof(c_0_713,axiom,
    ! [X16,X9] : insert1415133716_state(X16,insert1415133716_state(X16,X9)) = insert1415133716_state(X16,X9),
    c_0_298 ).

fof(c_0_714,axiom,
    ! [X16,X9] : insert_pname(X16,insert_pname(X16,X9)) = insert_pname(X16,X9),
    c_0_299 ).

fof(c_0_715,axiom,
    ! [X17,X16,X18] :
      ( hAPP_f2134636538on_com(X17,X16) = some_com(X18)
     => insert1556680138e_bool(X16,dom_fu1342267980ol_com(X17)) = dom_fu1342267980ol_com(X17) ),
    c_0_300 ).

fof(c_0_716,axiom,
    ! [X17,X16,X18] :
      ( hAPP_f2138803836on_com(X17,X16) = some_com(X18)
     => insert1325755072e_bool(X16,dom_fu2081503504ol_com(X17)) = dom_fu2081503504ol_com(X17) ),
    c_0_301 ).

fof(c_0_717,axiom,
    ! [X17,X16,X18] :
      ( hAPP_p799580910on_com(X17,X16) = some_com(X18)
     => insert_pname(X16,dom_pname_com(X17)) = dom_pname_com(X17) ),
    c_0_302 ).

fof(c_0_718,plain,
    ! [X33] :
      ( ~ hBOOL(hAPP_bool_bool(fNot,X33))
      | ~ hBOOL(X33) ),
    inference(fof_simplification,[status(thm)],[c_0_303]) ).

fof(c_0_719,axiom,
    is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))),
    c_0_304 ).

fof(c_0_720,axiom,
    ! [X12] : collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X12)) = insert1556680138e_bool(X12,bot_bo535777328l_bool),
    c_0_305 ).

fof(c_0_721,axiom,
    ! [X12] : collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X12)) = insert1325755072e_bool(X12,bot_bo1649642514l_bool),
    c_0_306 ).

fof(c_0_722,axiom,
    ! [X12] : collec307967673_state(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X12)) = insert1415133716_state(X12,bot_bo620288102e_bool),
    c_0_307 ).

fof(c_0_723,axiom,
    ! [X12] : collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X12)) = insert_pname(X12,bot_bo844097828e_bool),
    c_0_308 ).

fof(c_0_724,axiom,
    ! [X1,X2] :
      ( ( is_fun1661590463l_bool(X1)
        & is_fun_pname_bool(X2) )
     => is_bool(hAPP_f1664156314l_bool(X1,X2)) ),
    c_0_309 ).

fof(c_0_725,axiom,
    ! [X1,X2] :
      ( ( is_fun_pname_bool(X1)
        & is_pname(X2) )
     => is_bool(hAPP_pname_bool(X1,X2)) ),
    c_0_310 ).

fof(c_0_726,axiom,
    ! [X1,X2] :
      ( ( is_fun_pname_bool(X1)
        & is_fun1661590463l_bool(X2) )
     => is_fun1661590463l_bool(insert1325755072e_bool(X1,X2)) ),
    c_0_311 ).

fof(c_0_727,axiom,
    ! [X1,X2] :
      ( ( is_pname(X1)
        & is_fun_pname_bool(X2) )
     => is_fun_pname_bool(insert_pname(X1,X2)) ),
    c_0_312 ).

fof(c_0_728,axiom,
    ! [X29,X30] :
      ( hBOOL(wT_bodies)
     => ( hAPP_p799580910on_com(body,X29) = some_com(X30)
       => hBOOL(wt(X30)) ) ),
    c_0_313 ).

fof(c_0_729,axiom,
    ! [X12,X20] :
      ( insert1415133716_state(X12,bot_bo620288102e_bool) = insert1415133716_state(X20,bot_bo620288102e_bool)
     => X12 = X20 ),
    c_0_314 ).

fof(c_0_730,axiom,
    ! [X15,X9] :
      ( is_fun1661590463l_bool(X9)
     => ( ( X9 = bot_bo1649642514l_bool
         => image_1283814551_pname(cOMBK_948730864e_bool(X15),X9) = bot_bo844097828e_bool )
        & ( X9 != bot_bo1649642514l_bool
         => image_1283814551_pname(cOMBK_948730864e_bool(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ) ) ),
    c_0_315 ).

fof(c_0_731,axiom,
    ! [X15,X9] :
      ( is_fun1661590463l_bool(X9)
     => ( ( X9 = bot_bo1649642514l_bool
         => image_516545147_state(cOMBK_1503445380e_bool(X15),X9) = bot_bo620288102e_bool )
        & ( X9 != bot_bo1649642514l_bool
         => image_516545147_state(cOMBK_1503445380e_bool(X15),X9) = insert1415133716_state(X15,bot_bo620288102e_bool) ) ) ),
    c_0_316 ).

fof(c_0_732,axiom,
    ! [X15,X9] :
      ( is_fun_pname_bool(X9)
     => ( ( X9 = bot_bo844097828e_bool
         => image_pname_pname(cOMBK_pname_pname(X15),X9) = bot_bo844097828e_bool )
        & ( X9 != bot_bo844097828e_bool
         => image_pname_pname(cOMBK_pname_pname(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ) ) ),
    c_0_317 ).

fof(c_0_733,axiom,
    ! [X15,X9] :
      ( is_fun_pname_bool(X9)
     => ( ( X9 = bot_bo844097828e_bool
         => image_70449425e_bool(cOMBK_1706929794_pname(X15),X9) = bot_bo535777328l_bool )
        & ( X9 != bot_bo844097828e_bool
         => image_70449425e_bool(cOMBK_1706929794_pname(X15),X9) = insert1556680138e_bool(X15,bot_bo535777328l_bool) ) ) ),
    c_0_318 ).

fof(c_0_734,axiom,
    ! [X15,X9] :
      ( is_fun_pname_bool(X9)
     => ( ( X9 = bot_bo844097828e_bool
         => image_47868345e_bool(cOMBK_37193422_pname(X15),X9) = bot_bo1649642514l_bool )
        & ( X9 != bot_bo844097828e_bool
         => image_47868345e_bool(cOMBK_37193422_pname(X15),X9) = insert1325755072e_bool(X15,bot_bo1649642514l_bool) ) ) ),
    c_0_319 ).

fof(c_0_735,axiom,
    ! [X15,X9] :
      ( is_fun_pname_bool(X9)
     => ( ( X9 = bot_bo844097828e_bool
         => image_2003357581_state(cOMBK_367030522_pname(X15),X9) = bot_bo620288102e_bool )
        & ( X9 != bot_bo844097828e_bool
         => image_2003357581_state(cOMBK_367030522_pname(X15),X9) = insert1415133716_state(X15,bot_bo620288102e_bool) ) ) ),
    c_0_320 ).

fof(c_0_736,axiom,
    ! [X12] : collec1823980261e_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X12)) = insert1556680138e_bool(X12,bot_bo535777328l_bool),
    c_0_321 ).

fof(c_0_737,axiom,
    ! [X12] : collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X12)) = insert1325755072e_bool(X12,bot_bo1649642514l_bool),
    c_0_322 ).

fof(c_0_738,axiom,
    ! [X12] : collec307967673_state(hAPP_H1049623551e_bool(fequal1111551311_state,X12)) = insert1415133716_state(X12,bot_bo620288102e_bool),
    c_0_323 ).

fof(c_0_739,axiom,
    ! [X12] : collect_pname(hAPP_p61793385e_bool(fequal_pname,X12)) = insert_pname(X12,bot_bo844097828e_bool),
    c_0_324 ).

fof(c_0_740,axiom,
    ! [X3] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),bot_bo620288102e_bool)),
    c_0_325 ).

fof(c_0_741,axiom,
    ! [X1,X2] :
      ( is_fun1661590463l_bool(X2)
     => is_fun1661590463l_bool(hAPP_f559147733l_bool(X1,X2)) ),
    c_0_326 ).

fof(c_0_742,axiom,
    ! [X1,X2] :
      ( is_fun1661590463l_bool(X2)
     => is_bool(hAPP_f1935102916l_bool(X1,X2)) ),
    c_0_327 ).

fof(c_0_743,axiom,
    ! [X1,X2] :
      ( is_fun_pname_bool(X2)
     => is_fun1661590463l_bool(hAPP_f434788991l_bool(X1,X2)) ),
    c_0_328 ).

fof(c_0_744,axiom,
    ! [X1,X2] :
      ( is_fun_pname_bool(X2)
     => is_fun_pname_bool(hAPP_f759274231e_bool(X1,X2)) ),
    c_0_329 ).

fof(c_0_745,axiom,
    ! [X1,X2] :
      ( is_fun_pname_bool(X2)
     => is_pname(hAPP_f1297739591_pname(X1,X2)) ),
    c_0_330 ).

fof(c_0_746,axiom,
    ! [X1,X2] :
      ( is_bool(X2)
     => is_bool(hAPP_bool_bool(X1,X2)) ),
    c_0_331 ).

fof(c_0_747,axiom,
    ! [X1,X2] :
      ( is_pname(X2)
     => is_fun1661590463l_bool(hAPP_p338031245l_bool(X1,X2)) ),
    c_0_332 ).

fof(c_0_748,axiom,
    ! [X1,X2] :
      ( is_pname(X2)
     => is_fun_pname_bool(hAPP_p61793385e_bool(X1,X2)) ),
    c_0_333 ).

fof(c_0_749,axiom,
    ! [X1,X2] :
      ( is_pname(X2)
     => is_pname(hAPP_pname_pname(X1,X2)) ),
    c_0_334 ).

fof(c_0_750,axiom,
    ! [X1,X2] :
      ( is_fun1661590463l_bool(X2)
     => is_fun_pname_bool(image_1283814551_pname(X1,X2)) ),
    c_0_335 ).

fof(c_0_751,axiom,
    ! [X1,X2] :
      ( is_fun_pname_bool(X2)
     => is_fun1661590463l_bool(image_47868345e_bool(X1,X2)) ),
    c_0_336 ).

fof(c_0_752,axiom,
    ! [X1,X2] :
      ( is_fun_pname_bool(X2)
     => is_fun_pname_bool(image_pname_pname(X1,X2)) ),
    c_0_337 ).

fof(c_0_753,axiom,
    ! [X1,X2] :
      ( is_fun1661590463l_bool(X2)
     => is_fun1661590463l_bool(cOMBS_350070575l_bool(X1,X2)) ),
    c_0_338 ).

fof(c_0_754,axiom,
    ! [X1,X2] :
      ( is_fun_pname_bool(X2)
     => is_fun_pname_bool(cOMBS_568398431l_bool(X1,X2)) ),
    c_0_339 ).

fof(c_0_755,axiom,
    ! [X1,X2] :
      ( is_fun1661590463l_bool(X2)
     => is_fun1661590463l_bool(cOMBB_307249310e_bool(X1,X2)) ),
    c_0_340 ).

fof(c_0_756,axiom,
    ! [X1,X2] :
      ( is_fun_pname_bool(X2)
     => is_fun_pname_bool(cOMBB_647938656_pname(X1,X2)) ),
    c_0_341 ).

fof(c_0_757,axiom,
    ! [X15,X9] :
      ( ( X9 = bot_bo535777328l_bool
       => image_187965177_pname(cOMBK_1589414042e_bool(X15),X9) = bot_bo844097828e_bool )
      & ( X9 != bot_bo535777328l_bool
       => image_187965177_pname(cOMBK_1589414042e_bool(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ) ),
    c_0_342 ).

fof(c_0_758,axiom,
    ! [X15,X9] :
      ( ( X9 = bot_bo535777328l_bool
       => image_18964633_state(cOMBK_701929478e_bool(X15),X9) = bot_bo620288102e_bool )
      & ( X9 != bot_bo535777328l_bool
       => image_18964633_state(cOMBK_701929478e_bool(X15),X9) = insert1415133716_state(X15,bot_bo620288102e_bool) ) ),
    c_0_343 ).

fof(c_0_759,axiom,
    ! [X15,X9] :
      ( ( X9 = bot_bo620288102e_bool
       => image_1828608335e_bool(cOMBK_1039769424_state(X15),X9) = bot_bo535777328l_bool )
      & ( X9 != bot_bo620288102e_bool
       => image_1828608335e_bool(cOMBK_1039769424_state(X15),X9) = insert1556680138e_bool(X15,bot_bo535777328l_bool) ) ),
    c_0_344 ).

fof(c_0_760,axiom,
    ! [X15,X9] :
      ( ( X9 = bot_bo620288102e_bool
       => image_2131964411e_bool(cOMBK_2035509764_state(X15),X9) = bot_bo1649642514l_bool )
      & ( X9 != bot_bo620288102e_bool
       => image_2131964411e_bool(cOMBK_2035509764_state(X15),X9) = insert1325755072e_bool(X15,bot_bo1649642514l_bool) ) ),
    c_0_345 ).

fof(c_0_761,axiom,
    ! [X15,X9] :
      ( ( X9 = bot_bo620288102e_bool
       => image_54689091_pname(cOMBK_168215364_state(X15),X9) = bot_bo844097828e_bool )
      & ( X9 != bot_bo620288102e_bool
       => image_54689091_pname(cOMBK_168215364_state(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ) ),
    c_0_346 ).

fof(c_0_762,axiom,
    hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,dom_pname_com(body))),
    c_0_347 ).

fof(c_0_763,axiom,
    ! [X33] :
      ( hBOOL(X33)
      | hBOOL(hAPP_bool_bool(fNot,X33)) ),
    c_0_348 ).

fof(c_0_764,axiom,
    ! [X17,X9] :
      ( is_fun_pname_bool(X9)
     => ( bot_bo620288102e_bool = image_2003357581_state(X17,X9)
      <=> X9 = bot_bo844097828e_bool ) ),
    c_0_349 ).

fof(c_0_765,axiom,
    ! [X17,X9] :
      ( is_fun_pname_bool(X9)
     => ( image_2003357581_state(X17,X9) = bot_bo620288102e_bool
      <=> X9 = bot_bo844097828e_bool ) ),
    c_0_350 ).

fof(c_0_766,axiom,
    ! [X1,X2] : is_bool(hAPP_f1022807134l_bool(X1,X2)),
    c_0_351 ).

fof(c_0_767,axiom,
    ! [X1,X2] : is_bool(hAPP_f595608956l_bool(X1,X2)),
    c_0_352 ).

fof(c_0_768,axiom,
    ! [X1,X2] : is_bool(hAPP_f468958928l_bool(X1,X2)),
    c_0_353 ).

fof(c_0_769,axiom,
    ! [X1,X2] : is_bool(hAPP_f389811538l_bool(X1,X2)),
    c_0_354 ).

fof(c_0_770,axiom,
    ! [X1,X2] : is_bool(hAPP_f166538662l_bool(X1,X2)),
    c_0_355 ).

fof(c_0_771,axiom,
    ! [X1,X2] : is_pname(hAPP_f560369737_pname(X1,X2)),
    c_0_356 ).

fof(c_0_772,axiom,
    ! [X1,X2] : is_fun_pname_bool(hAPP_H356885323e_bool(X1,X2)),
    c_0_357 ).

fof(c_0_773,axiom,
    ! [X1,X2] : is_bool(hAPP_H78829294e_bool(X1,X2)),
    c_0_358 ).

fof(c_0_774,axiom,
    ! [X1,X2] : is_pname(hAPP_H1621176307_pname(X1,X2)),
    c_0_359 ).

fof(c_0_775,axiom,
    ! [X1,X2] : is_fun_pname_bool(image_1619336331_pname(X1,X2)),
    c_0_360 ).

fof(c_0_776,axiom,
    ! [X1,X2] : is_fun_pname_bool(image_1705983821_pname(X1,X2)),
    c_0_361 ).

fof(c_0_777,axiom,
    ! [X1,X2] : is_fun_pname_bool(image_187965177_pname(X1,X2)),
    c_0_362 ).

fof(c_0_778,axiom,
    ! [X1,X2] : is_fun1661590463l_bool(image_2131964411e_bool(X1,X2)),
    c_0_363 ).

fof(c_0_779,axiom,
    ! [X1,X2] : is_fun_pname_bool(image_54689091_pname(X1,X2)),
    c_0_364 ).

fof(c_0_780,axiom,
    ! [X33,X38] :
      ( is_bool(X33)
     => hAPP_f166538662l_bool(cOMBK_482404831l_bool(X33),X38) = X33 ),
    c_0_365 ).

fof(c_0_781,axiom,
    ! [X33,X38] :
      ( is_fun_pname_bool(X33)
     => hAPP_H356885323e_bool(cOMBK_2035509764_state(X33),X38) = X33 ),
    c_0_366 ).

fof(c_0_782,axiom,
    ! [X33,X38] :
      ( is_pname(X33)
     => hAPP_f560369737_pname(cOMBK_1589414042e_bool(X33),X38) = X33 ),
    c_0_367 ).

fof(c_0_783,axiom,
    ! [X33,X38] :
      ( is_bool(X33)
     => hAPP_f971112728l_bool(cOMBK_129401207e_bool(X33),X38) = X33 ),
    c_0_368 ).

fof(c_0_784,axiom,
    ! [X33,X38] :
      ( is_pname(X33)
     => hAPP_H1621176307_pname(cOMBK_168215364_state(X33),X38) = X33 ),
    c_0_369 ).

fof(c_0_785,axiom,
    ! [X33,X38] :
      ( is_bool(X33)
     => hAPP_H78829294e_bool(cOMBK_659609255_state(X33),X38) = X33 ),
    c_0_370 ).

fof(c_0_786,axiom,
    ! [X33,X38] :
      ( is_fun_pname_bool(X33)
     => hAPP_p61793385e_bool(cOMBK_37193422_pname(X33),X38) = X33 ),
    c_0_371 ).

fof(c_0_787,axiom,
    ! [X33,X38] :
      ( is_pname(X33)
     => hAPP_f1297739591_pname(cOMBK_948730864e_bool(X33),X38) = X33 ),
    c_0_372 ).

fof(c_0_788,axiom,
    ! [X33,X38] :
      ( is_bool(X33)
     => hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X33),X38) = X33 ),
    c_0_373 ).

fof(c_0_789,axiom,
    ! [X33,X38] :
      ( is_pname(X33)
     => hAPP_pname_pname(cOMBK_pname_pname(X33),X38) = X33 ),
    c_0_374 ).

fof(c_0_790,axiom,
    ! [X33,X38] :
      ( is_bool(X33)
     => hAPP_pname_bool(cOMBK_bool_pname(X33),X38) = X33 ),
    c_0_375 ).

fof(c_0_791,axiom,
    hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)),
    c_0_376 ).

fof(c_0_792,axiom,
    hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,bot_bo535777328l_bool)),
    c_0_377 ).

fof(c_0_793,axiom,
    hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,bot_bo1761158942l_bool)),
    c_0_378 ).

fof(c_0_794,axiom,
    hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,bot_bo1537088220l_bool)),
    c_0_379 ).

fof(c_0_795,axiom,
    hBOOL(hAPP_f971112728l_bool(finite364844667_state,bot_bo620288102e_bool)),
    c_0_380 ).

fof(c_0_796,axiom,
    hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)),
    c_0_381 ).

fof(c_0_797,axiom,
    ! [X12,X9] : bot_bo620288102e_bool != insert1415133716_state(X12,X9),
    c_0_382 ).

fof(c_0_798,axiom,
    ! [X12,X9] : bot_bo844097828e_bool != insert_pname(X12,X9),
    c_0_383 ).

fof(c_0_799,axiom,
    ! [X12,X9] : insert1415133716_state(X12,X9) != bot_bo620288102e_bool,
    c_0_384 ).

fof(c_0_800,axiom,
    ! [X12,X9] : insert_pname(X12,X9) != bot_bo844097828e_bool,
    c_0_385 ).

fof(c_0_801,axiom,
    ! [X33,X38] : hAPP_H1049623551e_bool(cOMBK_1039769424_state(X33),X38) = X33,
    c_0_386 ).

fof(c_0_802,axiom,
    ! [X33,X38] : hAPP_f1387463497_state(cOMBK_701929478e_bool(X33),X38) = X33,
    c_0_387 ).

fof(c_0_803,axiom,
    ! [X33,X38] : hAPP_p442853985e_bool(cOMBK_1706929794_pname(X33),X38) = X33,
    c_0_388 ).

fof(c_0_804,axiom,
    ! [X33,X38] : hAPP_f888949707_state(cOMBK_1503445380e_bool(X33),X38) = X33,
    c_0_389 ).

fof(c_0_805,axiom,
    ! [X33,X38] : hAPP_p1422361149_state(cOMBK_367030522_pname(X33),X38) = X33,
    c_0_390 ).

fof(c_0_806,axiom,
    ! [X1] :
      ( is_fun1661590463l_bool(X1)
     => is_fun1661590463l_bool(collec1974731493e_bool(X1)) ),
    c_0_391 ).

fof(c_0_807,axiom,
    ! [X1] :
      ( is_fun_pname_bool(X1)
     => is_fun_pname_bool(collect_pname(X1)) ),
    c_0_392 ).

fof(c_0_808,axiom,
    ! [X1] :
      ( is_bool(X1)
     => is_fun1661590463l_bool(cOMBK_1857069011e_bool(X1)) ),
    c_0_393 ).

fof(c_0_809,axiom,
    ! [X1] :
      ( is_bool(X1)
     => is_fun_pname_bool(cOMBK_bool_pname(X1)) ),
    c_0_394 ).

fof(c_0_810,axiom,
    ! [X17] : image_2003357581_state(X17,bot_bo844097828e_bool) = bot_bo620288102e_bool,
    c_0_395 ).

fof(c_0_811,axiom,
    ! [X14] :
      ( is_fun1661590463l_bool(X14)
     => collec1974731493e_bool(X14) = X14 ),
    c_0_396 ).

fof(c_0_812,axiom,
    ! [X14] :
      ( is_fun_pname_bool(X14)
     => collect_pname(X14) = X14 ),
    c_0_397 ).

fof(c_0_813,axiom,
    ! [X1] : is_fun1661590463l_bool(dom_fu2081503504ol_com(X1)),
    c_0_398 ).

fof(c_0_814,axiom,
    ! [X1] : is_bool(wt(X1)),
    c_0_399 ).

fof(c_0_815,axiom,
    ! [X33] :
      ( is_bool(X33)
     => ( X33 = fTrue
        | X33 = fFalse ) ),
    c_0_400 ).

fof(c_0_816,axiom,
    bot_bo844097828e_bool = collect_pname(cOMBK_bool_pname(fFalse)),
    c_0_401 ).

fof(c_0_817,axiom,
    bot_bo620288102e_bool = collec307967673_state(cOMBK_659609255_state(fFalse)),
    c_0_402 ).

fof(c_0_818,axiom,
    bot_bo1649642514l_bool = collec1974731493e_bool(cOMBK_1857069011e_bool(fFalse)),
    c_0_403 ).

fof(c_0_819,axiom,
    bot_bo535777328l_bool = collec1823980261e_bool(cOMBK_129401207e_bool(fFalse)),
    c_0_404 ).

fof(c_0_820,axiom,
    bot_bo1761158942l_bool = collec488126193l_bool(cOMBK_482404831l_bool(fFalse)),
    c_0_405 ).

fof(c_0_821,axiom,
    is_pname(undefined_pname(pname)),
    c_0_406 ).

fof(c_0_822,axiom,
    ! [X14] : collec1823980261e_bool(X14) = X14,
    c_0_407 ).

fof(c_0_823,axiom,
    ! [X14] : collec307967673_state(X14) = X14,
    c_0_408 ).

fof(c_0_824,plain,
    ~ hBOOL(fFalse),
    inference(fof_simplification,[status(thm)],[c_0_409]) ).

fof(c_0_825,axiom,
    is_bool(fTrue),
    c_0_410 ).

fof(c_0_826,axiom,
    is_bool(fFalse),
    c_0_411 ).

fof(c_0_827,axiom,
    is_fun1661590463l_bool(bot_bo1649642514l_bool),
    c_0_412 ).

fof(c_0_828,axiom,
    is_fun_pname_bool(bot_bo844097828e_bool),
    c_0_413 ).

fof(c_0_829,axiom,
    is_fun1661590463l_bool(finite_finite_pname),
    c_0_414 ).

fof(c_0_830,plain,
    ! [X9,X10] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X9)),X10)),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X9))),bot_bo620288102e_bool)))
      | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X10),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X9)),bot_bo620288102e_bool))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_415])]) ).

fof(c_0_831,plain,
    ! [X33,X34,X35] :
      ( ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,esk32_3(X33,X34,X35)))
        | hBOOL(hAPP_f166538662l_bool(X33,X35))
        | ~ hBOOL(hAPP_f166538662l_bool(X33,bot_bo535777328l_bool))
        | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X35),X34))
        | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X35)) )
      & ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,esk31_3(X33,X34,X35)),X34))
        | hBOOL(hAPP_f166538662l_bool(X33,X35))
        | ~ hBOOL(hAPP_f166538662l_bool(X33,bot_bo535777328l_bool))
        | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X35),X34))
        | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X35)) )
      & ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,esk31_3(X33,X34,X35)),esk32_3(X33,X34,X35)))
        | hBOOL(hAPP_f166538662l_bool(X33,X35))
        | ~ hBOOL(hAPP_f166538662l_bool(X33,bot_bo535777328l_bool))
        | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X35),X34))
        | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X35)) )
      & ( hBOOL(hAPP_f166538662l_bool(X33,esk32_3(X33,X34,X35)))
        | hBOOL(hAPP_f166538662l_bool(X33,X35))
        | ~ hBOOL(hAPP_f166538662l_bool(X33,bot_bo535777328l_bool))
        | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X35),X34))
        | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X35)) )
      & ( ~ hBOOL(hAPP_f166538662l_bool(X33,insert1556680138e_bool(esk31_3(X33,X34,X35),esk32_3(X33,X34,X35))))
        | hBOOL(hAPP_f166538662l_bool(X33,X35))
        | ~ hBOOL(hAPP_f166538662l_bool(X33,bot_bo535777328l_bool))
        | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X35),X34))
        | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X35)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_416])])])]) ).

fof(c_0_832,plain,
    ! [X33,X34,X35] :
      ( ( is_fun_pname_bool(esk29_3(X33,X34,X35))
        | hBOOL(hAPP_f1935102916l_bool(X33,X35))
        | ~ hBOOL(hAPP_f1935102916l_bool(X33,bot_bo1649642514l_bool))
        | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X35),X34))
        | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35)) )
      & ( is_fun1661590463l_bool(esk30_3(X33,X34,X35))
        | hBOOL(hAPP_f1935102916l_bool(X33,X35))
        | ~ hBOOL(hAPP_f1935102916l_bool(X33,bot_bo1649642514l_bool))
        | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X35),X34))
        | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35)) )
      & ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk30_3(X33,X34,X35)))
        | hBOOL(hAPP_f1935102916l_bool(X33,X35))
        | ~ hBOOL(hAPP_f1935102916l_bool(X33,bot_bo1649642514l_bool))
        | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X35),X34))
        | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35)) )
      & ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk29_3(X33,X34,X35)),X34))
        | hBOOL(hAPP_f1935102916l_bool(X33,X35))
        | ~ hBOOL(hAPP_f1935102916l_bool(X33,bot_bo1649642514l_bool))
        | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X35),X34))
        | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35)) )
      & ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk29_3(X33,X34,X35)),esk30_3(X33,X34,X35)))
        | hBOOL(hAPP_f1935102916l_bool(X33,X35))
        | ~ hBOOL(hAPP_f1935102916l_bool(X33,bot_bo1649642514l_bool))
        | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X35),X34))
        | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35)) )
      & ( hBOOL(hAPP_f1935102916l_bool(X33,esk30_3(X33,X34,X35)))
        | hBOOL(hAPP_f1935102916l_bool(X33,X35))
        | ~ hBOOL(hAPP_f1935102916l_bool(X33,bot_bo1649642514l_bool))
        | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X35),X34))
        | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35)) )
      & ( ~ hBOOL(hAPP_f1935102916l_bool(X33,insert1325755072e_bool(esk29_3(X33,X34,X35),esk30_3(X33,X34,X35))))
        | hBOOL(hAPP_f1935102916l_bool(X33,X35))
        | ~ hBOOL(hAPP_f1935102916l_bool(X33,bot_bo1649642514l_bool))
        | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X35),X34))
        | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_417])])])]) ).

fof(c_0_833,plain,
    ! [X33,X34,X35] :
      ( ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,esk28_3(X33,X34,X35)))
        | hBOOL(hAPP_f971112728l_bool(X33,X35))
        | ~ hBOOL(hAPP_f971112728l_bool(X33,bot_bo620288102e_bool))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X35),X34))
        | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X35)) )
      & ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk27_3(X33,X34,X35)),X34))
        | hBOOL(hAPP_f971112728l_bool(X33,X35))
        | ~ hBOOL(hAPP_f971112728l_bool(X33,bot_bo620288102e_bool))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X35),X34))
        | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X35)) )
      & ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk27_3(X33,X34,X35)),esk28_3(X33,X34,X35)))
        | hBOOL(hAPP_f971112728l_bool(X33,X35))
        | ~ hBOOL(hAPP_f971112728l_bool(X33,bot_bo620288102e_bool))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X35),X34))
        | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X35)) )
      & ( hBOOL(hAPP_f971112728l_bool(X33,esk28_3(X33,X34,X35)))
        | hBOOL(hAPP_f971112728l_bool(X33,X35))
        | ~ hBOOL(hAPP_f971112728l_bool(X33,bot_bo620288102e_bool))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X35),X34))
        | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X35)) )
      & ( ~ hBOOL(hAPP_f971112728l_bool(X33,insert1415133716_state(esk27_3(X33,X34,X35),esk28_3(X33,X34,X35))))
        | hBOOL(hAPP_f971112728l_bool(X33,X35))
        | ~ hBOOL(hAPP_f971112728l_bool(X33,bot_bo620288102e_bool))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X35),X34))
        | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X35)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_418])])])]) ).

fof(c_0_834,plain,
    ! [X33,X34,X35] :
      ( ( is_pname(esk25_3(X33,X34,X35))
        | hBOOL(hAPP_f1664156314l_bool(X33,X35))
        | ~ hBOOL(hAPP_f1664156314l_bool(X33,bot_bo844097828e_bool))
        | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X34))
        | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35)) )
      & ( is_fun_pname_bool(esk26_3(X33,X34,X35))
        | hBOOL(hAPP_f1664156314l_bool(X33,X35))
        | ~ hBOOL(hAPP_f1664156314l_bool(X33,bot_bo844097828e_bool))
        | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X34))
        | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35)) )
      & ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk26_3(X33,X34,X35)))
        | hBOOL(hAPP_f1664156314l_bool(X33,X35))
        | ~ hBOOL(hAPP_f1664156314l_bool(X33,bot_bo844097828e_bool))
        | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X34))
        | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35)) )
      & ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk25_3(X33,X34,X35)),X34))
        | hBOOL(hAPP_f1664156314l_bool(X33,X35))
        | ~ hBOOL(hAPP_f1664156314l_bool(X33,bot_bo844097828e_bool))
        | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X34))
        | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35)) )
      & ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk25_3(X33,X34,X35)),esk26_3(X33,X34,X35)))
        | hBOOL(hAPP_f1664156314l_bool(X33,X35))
        | ~ hBOOL(hAPP_f1664156314l_bool(X33,bot_bo844097828e_bool))
        | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X34))
        | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35)) )
      & ( hBOOL(hAPP_f1664156314l_bool(X33,esk26_3(X33,X34,X35)))
        | hBOOL(hAPP_f1664156314l_bool(X33,X35))
        | ~ hBOOL(hAPP_f1664156314l_bool(X33,bot_bo844097828e_bool))
        | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X34))
        | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35)) )
      & ( ~ hBOOL(hAPP_f1664156314l_bool(X33,insert_pname(esk25_3(X33,X34,X35),esk26_3(X33,X34,X35))))
        | hBOOL(hAPP_f1664156314l_bool(X33,X35))
        | ~ hBOOL(hAPP_f1664156314l_bool(X33,bot_bo844097828e_bool))
        | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X34))
        | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_419])])])]) ).

fof(c_0_835,plain,
    ! [X22,X23] :
      ( ( is_pname(esk23_2(X22,X23))
        | ~ hBOOL(wt(X22))
        | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X23),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X22),bot_bo620288102e_bool)))
        | ~ hBOOL(hoare_165779456gleton) )
      & ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk23_2(X22,X23)),dom_pname_com(body)))
        | ~ hBOOL(wt(X22))
        | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X23),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X22),bot_bo620288102e_bool)))
        | ~ hBOOL(hoare_165779456gleton) )
      & ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X23),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,esk23_2(X22,X23))),bot_bo620288102e_bool)))
        | ~ hBOOL(wt(X22))
        | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X23),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X22),bot_bo620288102e_bool)))
        | ~ hBOOL(hoare_165779456gleton) ) ),
    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_420])])])])])]) ).

fof(c_0_836,plain,
    ! [X36,X37,X38] :
      ( ( is_fun_pname_bool(esk36_3(X36,X37,X38))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X38),image_2003357581_state(X36,X37)))
        | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X38)) )
      & ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk36_3(X36,X37,X38)),X37))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X38),image_2003357581_state(X36,X37)))
        | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X38)) )
      & ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk36_3(X36,X37,X38)))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X38),image_2003357581_state(X36,X37)))
        | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X38)) )
      & ( X38 = image_2003357581_state(X36,esk36_3(X36,X37,X38))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X38),image_2003357581_state(X36,X37)))
        | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X38)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_421])])])]) ).

fof(c_0_837,plain,
    ! [X22,X23,X24] :
      ( ( is_pname(esk24_3(X22,X23,X24))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X22),image_2003357581_state(X23,X24))) )
      & ( X22 = hAPP_p1422361149_state(X23,esk24_3(X22,X23,X24))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X22),image_2003357581_state(X23,X24))) )
      & ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk24_3(X22,X23,X24)),X24))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X22),image_2003357581_state(X23,X24))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_422])])])]) ).

fof(c_0_838,plain,
    ! [X28,X29,X30,X32,X33,X34,X35] :
      ( ( is_fun_pname_bool(esk22_3(X28,X29,X30))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X28),image_2003357581_state(X29,X30))) )
      & ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk22_3(X28,X29,X30)),X30))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X28),image_2003357581_state(X29,X30))) )
      & ( X28 = image_2003357581_state(X29,esk22_3(X28,X29,X30))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X28),image_2003357581_state(X29,X30))) )
      & ( ~ is_fun_pname_bool(X35)
        | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X34))
        | X32 != image_2003357581_state(X33,X35)
        | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X32),image_2003357581_state(X33,X34))) ) ),
    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_423])])])])])]) ).

fof(c_0_839,plain,
    ! [X24,X25,X26,X28,X29,X30,X31] :
      ( ( is_pname(esk21_3(X24,X25,X26))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X24),image_2003357581_state(X25,X26))) )
      & ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk21_3(X24,X25,X26)),X26))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X24),image_2003357581_state(X25,X26))) )
      & ( X24 = hAPP_p1422361149_state(X25,esk21_3(X24,X25,X26))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X24),image_2003357581_state(X25,X26))) )
      & ( ~ is_pname(X31)
        | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X31),X30))
        | X28 != hAPP_p1422361149_state(X29,X31)
        | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X28),image_2003357581_state(X29,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_424])])])])])]) ).

fof(c_0_840,plain,
    ! [X15,X16,X17,X18] :
      ( ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X15)))
        | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X15),X16)))) )
      & ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X16)))
        | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X15),X16)))) )
      & ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X17)))
        | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X18)))
        | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X17),X18)))) ) ),
    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_425])])])])]) ).

fof(c_0_841,plain,
    ! [X15,X16,X17,X18] :
      ( ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X15)))
        | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X15),X16)))) )
      & ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X16)))
        | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X15),X16)))) )
      & ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X17)))
        | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X18)))
        | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X17),X18)))) ) ),
    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_426])])])])]) ).

fof(c_0_842,plain,
    ! [X15,X16,X17,X18] :
      ( ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X15)))
        | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X15),X16)))) )
      & ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X16)))
        | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X15),X16)))) )
      & ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X17)))
        | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X18)))
        | hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X17),X18)))) ) ),
    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_427])])])])]) ).

fof(c_0_843,plain,
    ! [X15,X16,X17,X18] :
      ( ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X15)))
        | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X15),X16)))) )
      & ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X16)))
        | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X15),X16)))) )
      & ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X17)))
        | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X18)))
        | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X17),X18)))) ) ),
    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_428])])])])]) ).

fof(c_0_844,plain,
    ! [X15,X16] : insert1556680138e_bool(X15,collec1823980261e_bool(X16)) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fimplies,cOMBB_1522210668e_bool(fNot,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X15))),X16)),
    inference(variable_rename,[status(thm)],[c_0_429]) ).

fof(c_0_845,plain,
    ! [X15,X16] : insert1325755072e_bool(X15,collec1974731493e_bool(X16)) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X15))),X16)),
    inference(variable_rename,[status(thm)],[c_0_430]) ).

fof(c_0_846,plain,
    ! [X15,X16] : insert1415133716_state(X15,collec307967673_state(X16)) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X15))),X16)),
    inference(variable_rename,[status(thm)],[c_0_431]) ).

fof(c_0_847,plain,
    ! [X15,X16] : insert_pname(X15,collect_pname(X16)) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X15))),X16)),
    inference(variable_rename,[status(thm)],[c_0_432]) ).

fof(c_0_848,plain,
    ! [X20,X21,X22,X23,X24,X25] :
      ( ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),X22))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X20,X21)),X22)) )
      & ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X21),X22))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X20,X21)),X22)) )
      & ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X23),X25))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X24),X25))
        | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X23,X24)),X25)) ) ),
    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_433])])])])]) ).

fof(c_0_849,plain,
    ! [X20,X21,X22,X23,X24,X25] :
      ( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X22))
        | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X20,X21)),X22)) )
      & ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X22))
        | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X20,X21)),X22)) )
      & ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X23),X25))
        | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),X25))
        | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X23,X24)),X25)) ) ),
    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_434])])])])]) ).

fof(c_0_850,plain,
    ! [X15,X16] :
      ( ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X16)))
        | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X16),X15)))) )
      & ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X15)))
        | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X16),X15)))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_435])])]) ).

fof(c_0_851,plain,
    ! [X15,X16] :
      ( ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X16)))
        | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,X16),X15)))) )
      & ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X15)))
        | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,X16),X15)))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_436])])]) ).

fof(c_0_852,plain,
    ! [X15,X16] :
      ( ( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(X16)))
        | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(cOMBS_1358309691l_bool(cOMBB_404111180l_bool(fconj,X16),X15)))) )
      & ( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(X15)))
        | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(cOMBS_1358309691l_bool(cOMBB_404111180l_bool(fconj,X16),X15)))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_437])])]) ).

fof(c_0_853,plain,
    ! [X15,X16] :
      ( ( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(X16)))
        | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(cOMBS_811933079l_bool(cOMBB_689948150l_bool(fconj,X16),X15)))) )
      & ( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(X15)))
        | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(cOMBS_811933079l_bool(cOMBB_689948150l_bool(fconj,X16),X15)))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_438])])]) ).

fof(c_0_854,plain,
    ! [X15,X16] :
      ( ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X16)))
        | hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,X16),X15)))) )
      & ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X15)))
        | hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,X16),X15)))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_439])])]) ).

fof(c_0_855,plain,
    ! [X15,X16] :
      ( ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X16)))
        | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X16),X15)))) )
      & ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X15)))
        | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X16),X15)))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_440])])]) ).

fof(c_0_856,plain,
    ! [X22,X23] :
      ( ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk35_2(X22,X23)),X23))
        | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X23),X22)) )
      & ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk35_2(X22,X23)),X22))
        | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X23),X22)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_441])])])]) ).

fof(c_0_857,plain,
    ! [X22,X23] :
      ( ( is_pname(esk34_2(X22,X23))
        | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X23),X22)) )
      & ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk34_2(X22,X23)),X23))
        | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X23),X22)) )
      & ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk34_2(X22,X23)),X22))
        | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X23),X22)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_442])])])]) ).

fof(c_0_858,plain,
    ! [X20,X21,X22] :
      ( ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X22),insert1415133716_state(X21,X20)))
        | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X22),X20))
        | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X22)) )
      & ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X22),X20))
        | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X22),insert1415133716_state(X21,X20)))
        | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X22)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_443])])]) ).

fof(c_0_859,plain,
    ! [X20,X21,X22] :
      ( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),insert_pname(X21,X20)))
        | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X20))
        | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X22)) )
      & ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X20))
        | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),insert_pname(X21,X20)))
        | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X22)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_444])])]) ).

fof(c_0_860,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X22))
      | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,image_2003357581_state(X20,X21)),image_2003357581_state(X20,X22))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_445])]) ).

fof(c_0_861,plain,
    ! [X27,X28,X29] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X28),X29))
      | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X27,X28)),insert1415133716_state(X27,X29))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_446])]) ).

fof(c_0_862,plain,
    ! [X27,X28,X29] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X28),X29))
      | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X27,X28)),insert_pname(X27,X29))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_447])]) ).

fof(c_0_863,plain,
    ! [X18,X19,X20] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X19),X20))
      | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_p1422361149_state(X18,X19)),image_2003357581_state(X18,X20))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_448])]) ).

fof(c_0_864,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X21),X22))
      | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),X21))
      | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),X22)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_449])]) ).

fof(c_0_865,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X22))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X21))
      | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X22)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_450])]) ).

fof(c_0_866,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X22))
      | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X22),X20))
      | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_451])]) ).

fof(c_0_867,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X22))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X20))
      | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_452])]) ).

fof(c_0_868,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X21),X22))
      | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),X21))
      | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),X22)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_453])]) ).

fof(c_0_869,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X22))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X21))
      | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X22)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_454])]) ).

fof(c_0_870,plain,
    ! [X23,X24,X25] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X24),X25))
      | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X25),X23))
      | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X24),X23)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_455])]) ).

fof(c_0_871,plain,
    ! [X23,X24,X25] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),X25))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X25),X23))
      | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),X23)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_456])]) ).

fof(c_0_872,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X22))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X21))
      | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X22)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_457])]) ).

fof(c_0_873,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X21),X22))
      | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X20),X21))
      | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X20),X22)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_458])]) ).

fof(c_0_874,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X21),X22))
      | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X20),X21))
      | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X20),X22)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_459])]) ).

fof(c_0_875,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X21),X22))
      | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),X21))
      | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),X22)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_460])]) ).

fof(c_0_876,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X9),insert1415133716_state(X10,bot_bo620288102e_bool)))
      | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X9),X8))
      | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X9),insert1415133716_state(X10,X8))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_461])]) ).

fof(c_0_877,plain,
    ! [X21,X22,X23,X24] :
      ( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),insert_pname(X22,X23)))
        | X21 = X22
        | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X23))
        | ~ is_pname(X21)
        | ~ is_pname(X22) )
      & ( X21 != X22
        | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),insert_pname(X22,X24)))
        | ~ is_pname(X21)
        | ~ is_pname(X22) )
      & ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X24))
        | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),insert_pname(X22,X24)))
        | ~ is_pname(X21)
        | ~ is_pname(X22) ) ),
    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_462])])])])]) ).

fof(c_0_878,plain,
    ! [X21,X22,X23] :
      ( ~ is_pname(X21)
      | ~ is_pname(X22)
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),insert_pname(X22,X23)))
      | X21 = X22
      | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X23)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_463])])])]) ).

fof(c_0_879,plain,
    ! [X21,X22,X23] :
      ( ~ is_fun_pname_bool(X21)
      | ~ is_fun_pname_bool(X22)
      | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X21),insert1325755072e_bool(X22,X23)))
      | X21 = X22
      | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X21),X23)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_464])])])]) ).

fof(c_0_880,plain,
    ! [X25,X26] : insert1556680138e_bool(X25,X26) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X25)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X26))),
    inference(variable_rename,[status(thm)],[c_0_465]) ).

fof(c_0_881,plain,
    ! [X25,X26] : insert1325755072e_bool(X25,X26) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X25)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X26))),
    inference(variable_rename,[status(thm)],[c_0_466]) ).

fof(c_0_882,plain,
    ! [X25,X26] : insert1415133716_state(X25,X26) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X25)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X26))),
    inference(variable_rename,[status(thm)],[c_0_467]) ).

fof(c_0_883,plain,
    ! [X25,X26] : insert_pname(X25,X26) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X25)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X26))),
    inference(variable_rename,[status(thm)],[c_0_468]) ).

fof(c_0_884,plain,
    ! [X20,X21] : insert1556680138e_bool(X20,X21) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X20)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X21))),
    inference(variable_rename,[status(thm)],[c_0_469]) ).

fof(c_0_885,plain,
    ! [X20,X21] : insert1325755072e_bool(X20,X21) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X20)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X21))),
    inference(variable_rename,[status(thm)],[c_0_470]) ).

fof(c_0_886,plain,
    ! [X20,X21] : insert1415133716_state(X20,X21) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X20)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X21))),
    inference(variable_rename,[status(thm)],[c_0_471]) ).

fof(c_0_887,plain,
    ! [X20,X21] : insert_pname(X20,X21) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X20)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X21))),
    inference(variable_rename,[status(thm)],[c_0_472]) ).

fof(c_0_888,plain,
    ! [X21,X22,X23,X24,X25,X26] :
      ( ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),insert1415133716_state(X22,X23)))
        | X21 = X22
        | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X23)) )
      & ( X24 != X25
        | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X24),insert1415133716_state(X25,X26))) )
      & ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X24),X26))
        | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X24),insert1415133716_state(X25,X26))) ) ),
    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_473])])])])]) ).

fof(c_0_889,plain,
    ! [X21,X22,X23] :
      ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X21),insert1556680138e_bool(X22,X23)))
      | X21 = X22
      | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X21),X23)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_474])]) ).

fof(c_0_890,plain,
    ! [X21,X22,X23] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),insert1415133716_state(X22,X23)))
      | X21 = X22
      | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X23)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_475])]) ).

fof(c_0_891,plain,
    ! [X21,X22,X23,X24] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X23),X24))
      | X21 != hAPP_p1422361149_state(X22,X23)
      | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),image_2003357581_state(X22,X24))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_476])]) ).

fof(c_0_892,plain,
    ! [X21,X22,X23,X24] :
      ( X22 != hAPP_p1422361149_state(X23,X24)
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X24),X21))
      | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X22),image_2003357581_state(X23,X21))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_477])]) ).

fof(c_0_893,plain,
    ! [X21,X22,X23,X24] :
      ( X22 != hAPP_f560369737_pname(X23,X24)
      | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X24),X21))
      | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X22),image_187965177_pname(X23,X21))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_478])]) ).

fof(c_0_894,plain,
    ! [X21,X22,X23,X24] :
      ( X22 != hAPP_f1297739591_pname(X23,X24)
      | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X24),X21))
      | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X22),image_1283814551_pname(X23,X21))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_479])]) ).

fof(c_0_895,plain,
    ! [X21,X22,X23,X24] :
      ( X22 != hAPP_pname_pname(X23,X24)
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X24),X21))
      | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X22),image_pname_pname(X23,X21))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_480])]) ).

fof(c_0_896,plain,
    ! [X21,X22,X23,X24] :
      ( X22 != hAPP_H1621176307_pname(X23,X24)
      | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X24),X21))
      | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X22),image_54689091_pname(X23,X21))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_481])]) ).

fof(c_0_897,plain,
    ! [X21,X22,X23,X24] :
      ( X22 != hAPP_f1387463497_state(X23,X24)
      | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X24),X21))
      | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X22),image_18964633_state(X23,X21))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_482])]) ).

fof(c_0_898,plain,
    ! [X21,X22,X23,X24] :
      ( X22 != hAPP_f888949707_state(X23,X24)
      | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X24),X21))
      | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X22),image_516545147_state(X23,X21))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_483])]) ).

fof(c_0_899,plain,
    ! [X21,X22,X23,X24] :
      ( X22 != hAPP_p442853985e_bool(X23,X24)
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X24),X21))
      | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X22),image_70449425e_bool(X23,X21))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_484])]) ).

fof(c_0_900,plain,
    ! [X21,X22,X23,X24] :
      ( X22 != hAPP_p61793385e_bool(X23,X24)
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X24),X21))
      | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X22),image_47868345e_bool(X23,X21))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_485])]) ).

fof(c_0_901,plain,
    ! [X21,X22,X23,X24] :
      ( X22 != hAPP_H1049623551e_bool(X23,X24)
      | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X24),X21))
      | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X22),image_1828608335e_bool(X23,X21))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_486])]) ).

fof(c_0_902,plain,
    ! [X21,X22,X23,X24] :
      ( X22 != hAPP_H356885323e_bool(X23,X24)
      | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X24),X21))
      | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X22),image_2131964411e_bool(X23,X21))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_487])]) ).

fof(c_0_903,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X22))
      | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X20),image_2131964411e_bool(X21,X22)))
      | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_488])]) ).

fof(c_0_904,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X22))
      | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X20),image_1828608335e_bool(X21,X22)))
      | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_489])]) ).

fof(c_0_905,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X22))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),image_54689091_pname(X21,X22)))
      | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_490])]) ).

fof(c_0_906,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X22))
      | ~ hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X20),image_1761575943l_bool(X21,X22)))
      | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_491])]) ).

fof(c_0_907,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X22))
      | ~ hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X20),image_1210605179l_bool(X21,X22)))
      | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_492])]) ).

fof(c_0_908,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X22))
      | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X20),image_47868345e_bool(X21,X22)))
      | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_493])]) ).

fof(c_0_909,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X22))
      | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X20),image_70449425e_bool(X21,X22)))
      | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_494])]) ).

fof(c_0_910,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X22))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),image_pname_pname(X21,X22)))
      | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_495])]) ).

fof(c_0_911,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X22))
      | ~ hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X20),image_288317893l_bool(X21,X22)))
      | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_496])]) ).

fof(c_0_912,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X22))
      | ~ hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X20),image_1642285373l_bool(X21,X22)))
      | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_497])]) ).

fof(c_0_913,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X22))
      | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X20),image_516545147_state(X21,X22)))
      | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_498])]) ).

fof(c_0_914,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X22))
      | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X20),image_18964633_state(X21,X22)))
      | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_499])]) ).

fof(c_0_915,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X22))
      | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X20),image_892968839_state(X21,X22)))
      | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_500])]) ).

fof(c_0_916,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X22))
      | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X20),image_677922117_state(X21,X22)))
      | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_501])]) ).

fof(c_0_917,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X22))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),image_1283814551_pname(X21,X22)))
      | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_502])]) ).

fof(c_0_918,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X22))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),image_187965177_pname(X21,X22)))
      | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_503])]) ).

fof(c_0_919,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X22))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),image_1619336331_pname(X21,X22)))
      | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_504])]) ).

fof(c_0_920,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X22))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),image_1705983821_pname(X21,X22)))
      | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_505])]) ).

fof(c_0_921,plain,
    ! [X20,X21,X22] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X22))
      | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X20),image_2003357581_state(X21,X22)))
      | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_506])]) ).

fof(c_0_922,plain,
    ! [X15,X16,X17,X18] :
      ( ( ~ hBOOL(hAPP_f971112728l_bool(X15,X16))
        | collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X16)),X15)) = insert1556680138e_bool(X16,bot_bo535777328l_bool) )
      & ( hBOOL(hAPP_f971112728l_bool(X17,X18))
        | collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X18)),X17)) = bot_bo535777328l_bool ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_507])])])]) ).

fof(c_0_923,plain,
    ! [X15,X16,X17,X18] :
      ( ( ~ hBOOL(hAPP_f1664156314l_bool(X15,X16))
        | collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X16)),X15)) = insert1325755072e_bool(X16,bot_bo1649642514l_bool) )
      & ( hBOOL(hAPP_f1664156314l_bool(X17,X18))
        | collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X18)),X17)) = bot_bo1649642514l_bool ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_508])])])]) ).

fof(c_0_924,plain,
    ! [X15,X16,X17,X18] :
      ( ( ~ hBOOL(hAPP_H78829294e_bool(X15,X16))
        | collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X16)),X15)) = insert1415133716_state(X16,bot_bo620288102e_bool) )
      & ( hBOOL(hAPP_H78829294e_bool(X17,X18))
        | collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X18)),X17)) = bot_bo620288102e_bool ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_509])])])]) ).

fof(c_0_925,plain,
    ! [X15,X16,X17,X18] :
      ( ( ~ hBOOL(hAPP_pname_bool(X15,X16))
        | collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X16)),X15)) = insert_pname(X16,bot_bo844097828e_bool) )
      & ( hBOOL(hAPP_pname_bool(X17,X18))
        | collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X18)),X17)) = bot_bo844097828e_bool ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_510])])])]) ).

fof(c_0_926,plain,
    ! [X20,X21] :
      ( ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21))
        | X20 != X21
        | ~ is_fun_pname_bool(X20)
        | ~ is_fun_pname_bool(X21) )
      & ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X20))
        | X20 != X21
        | ~ is_fun_pname_bool(X20)
        | ~ is_fun_pname_bool(X21) )
      & ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21))
        | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X20))
        | X20 = X21
        | ~ is_fun_pname_bool(X20)
        | ~ is_fun_pname_bool(X21) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_511])])]) ).

fof(c_0_927,plain,
    ! [X20,X21] :
      ( ~ is_fun_pname_bool(X20)
      | ~ is_fun_pname_bool(X21)
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X20))
      | X20 = X21 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_512])]) ).

fof(c_0_928,plain,
    ! [X20,X21] :
      ( ~ is_fun1661590463l_bool(X20)
      | ~ is_fun1661590463l_bool(X21)
      | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X20),X21))
      | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X21),X20))
      | X20 = X21 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_513])]) ).

fof(c_0_929,plain,
    ! [X21,X22,X23] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X22),X23))
      | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X22),insert1415133716_state(X21,X23))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_514])]) ).

fof(c_0_930,plain,
    ! [X21,X22,X23] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X23))
      | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),insert_pname(X21,X23))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_515])]) ).

fof(c_0_931,plain,
    ! [X21,X22,X23] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X22),X23))
      | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X22),insert1415133716_state(X21,X23))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_516])]) ).

fof(c_0_932,plain,
    ! [X21,X22,X23] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X22),X23))
      | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X22),insert_pname(X21,X23))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_517])]) ).

fof(c_0_933,plain,
    ! [X21,X22,X23] :
      ( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X22),X23))
        | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X22),insert_pname(X21,X23))) )
      & ( X22 != X21
        | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X22),insert_pname(X21,X23))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_518])])]) ).

fof(c_0_934,plain,
    ! [X21,X22,X23] :
      ( ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X22),X23))
        | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X22),insert1556680138e_bool(X21,X23))) )
      & ( X22 != X21
        | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X22),insert1556680138e_bool(X21,X23))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_519])])]) ).

fof(c_0_935,plain,
    ! [X21,X22,X23] :
      ( ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X22),X23))
        | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X22),insert1325755072e_bool(X21,X23))) )
      & ( X22 != X21
        | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X22),insert1325755072e_bool(X21,X23))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_520])])]) ).

fof(c_0_936,plain,
    ! [X21,X22,X23] :
      ( ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X22),X23))
        | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X22),insert1415133716_state(X21,X23))) )
      & ( X22 != X21
        | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X22),insert1415133716_state(X21,X23))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_521])])]) ).

fof(c_0_937,plain,
    ! [X20,X21,X22,X23] :
      ( ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X20),X21))
        | X20 != X21 )
      & ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X21),X20))
        | X20 != X21 )
      & ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X22),X23))
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X23),X22))
        | X22 = X23 ) ),
    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_522])])])])]) ).

fof(c_0_938,plain,
    ! [X20,X21] :
      ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X20),X21))
      | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X21),X20))
      | X20 = X21 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_523])]) ).

fof(c_0_939,plain,
    ! [X20,X21] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X20),X21))
      | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X21),X20))
      | X20 = X21 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_524])]) ).

fof(c_0_940,plain,
    ! [X8,X9,X10] :
      ( ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X8),insert1415133716_state(X9,bot_bo620288102e_bool)))
        | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X8),insert1415133716_state(X9,X10))) )
      & ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X8),X10))
        | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X8),insert1415133716_state(X9,X10))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_525])])]) ).

fof(c_0_941,plain,
    ! [X7,X8,X9] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X8),X9))
      | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X8),X7))
      | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X7),X9)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_526])]) ).

fof(c_0_942,plain,
    ! [X6,X7,X8] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X7),X8))
      | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X6),X8))
      | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X7),X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_527])]) ).

fof(c_0_943,plain,
    ! [X15,X16,X17,X18] :
      ( ( ~ hBOOL(hAPP_f971112728l_bool(X15,X16))
        | collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X16)),X15)) = insert1556680138e_bool(X16,bot_bo535777328l_bool) )
      & ( hBOOL(hAPP_f971112728l_bool(X17,X18))
        | collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X18)),X17)) = bot_bo535777328l_bool ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_528])])])]) ).

fof(c_0_944,plain,
    ! [X15,X16,X17,X18] :
      ( ( ~ hBOOL(hAPP_f1664156314l_bool(X15,X16))
        | collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X16)),X15)) = insert1325755072e_bool(X16,bot_bo1649642514l_bool) )
      & ( hBOOL(hAPP_f1664156314l_bool(X17,X18))
        | collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X18)),X17)) = bot_bo1649642514l_bool ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_529])])])]) ).

fof(c_0_945,plain,
    ! [X15,X16,X17,X18] :
      ( ( ~ hBOOL(hAPP_H78829294e_bool(X15,X16))
        | collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X16)),X15)) = insert1415133716_state(X16,bot_bo620288102e_bool) )
      & ( hBOOL(hAPP_H78829294e_bool(X17,X18))
        | collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X18)),X17)) = bot_bo620288102e_bool ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_530])])])]) ).

fof(c_0_946,plain,
    ! [X15,X16,X17,X18] :
      ( ( ~ hBOOL(hAPP_pname_bool(X15,X16))
        | collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X16)),X15)) = insert_pname(X16,bot_bo844097828e_bool) )
      & ( hBOOL(hAPP_pname_bool(X17,X18))
        | collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X18)),X17)) = bot_bo844097828e_bool ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_531])])])]) ).

fof(c_0_947,plain,
    ! [X17,X18] :
      ( ~ is_fun_pname_bool(X17)
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X17),insert_pname(X18,bot_bo844097828e_bool)))
      | X17 = bot_bo844097828e_bool
      | X17 = insert_pname(X18,bot_bo844097828e_bool) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_532])])])]) ).

fof(c_0_948,plain,
    ! [X17,X18] :
      ( ~ is_fun1661590463l_bool(X17)
      | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X17),insert1325755072e_bool(X18,bot_bo1649642514l_bool)))
      | X17 = bot_bo1649642514l_bool
      | X17 = insert1325755072e_bool(X18,bot_bo1649642514l_bool) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_533])])])]) ).

fof(c_0_949,plain,
    ! [X20,X21,X22] :
      ( ( insert_pname(X21,X22) != insert_pname(X21,X20)
        | X22 = X20
        | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X20))
        | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X22))
        | ~ is_fun_pname_bool(X20)
        | ~ is_fun_pname_bool(X22) )
      & ( X22 != X20
        | insert_pname(X21,X22) = insert_pname(X21,X20)
        | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X20))
        | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X22))
        | ~ is_fun_pname_bool(X20)
        | ~ is_fun_pname_bool(X22) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_534])])]) ).

fof(c_0_950,plain,
    ! [X10] :
      ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X10))
      | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),X10)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_535])]) ).

fof(c_0_951,plain,
    ! [X10] :
      ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X10))
      | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(ord_le287025148l_bool),X10)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_536])]) ).

fof(c_0_952,plain,
    ! [X10] :
      ( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X10))
      | hBOOL(hAPP_f1022807134l_bool(finite34021339l_bool,collec256567069l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(ord_le889598034l_bool),X10)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_537])]) ).

fof(c_0_953,plain,
    ! [X10] :
      ( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X10))
      | hBOOL(hAPP_f595608956l_bool(finite1491191519l_bool,collec792590109l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(ord_le1375671464l_bool),X10)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_538])]) ).

fof(c_0_954,plain,
    ! [X10] :
      ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X10))
      | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(ord_le1285840794e_bool),X10)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_539])]) ).

fof(c_0_955,plain,
    ! [X10] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X10))
      | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),X10)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_540])]) ).

fof(c_0_956,plain,
    ! [X21,X22] :
      ( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),insert_pname(X22,bot_bo844097828e_bool)))
        | X21 = X22
        | ~ is_pname(X21)
        | ~ is_pname(X22) )
      & ( X21 != X22
        | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),insert_pname(X22,bot_bo844097828e_bool)))
        | ~ is_pname(X21)
        | ~ is_pname(X22) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_541])])]) ).

fof(c_0_957,plain,
    ! [X21,X22] :
      ( ~ is_pname(X21)
      | ~ is_pname(X22)
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),insert_pname(X22,bot_bo844097828e_bool)))
      | X21 = X22 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_542])]) ).

fof(c_0_958,plain,
    ! [X17,X18] :
      ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X17),insert1556680138e_bool(X18,bot_bo535777328l_bool)))
      | X17 = bot_bo535777328l_bool
      | X17 = insert1556680138e_bool(X18,bot_bo535777328l_bool) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_543])]) ).

fof(c_0_959,plain,
    ! [X17,X18] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X17),insert1415133716_state(X18,bot_bo620288102e_bool)))
      | X17 = bot_bo620288102e_bool
      | X17 = insert1415133716_state(X18,bot_bo620288102e_bool) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_544])]) ).

fof(c_0_960,plain,
    ! [X16] :
      ( ~ hBOOL(hoare_165779456gleton)
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(wt(X16))
      | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X16),bot_bo620288102e_bool))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_545])])])]) ).

fof(c_0_961,plain,
    ! [X18,X19,X20] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X19),X20))
      | insert1415133716_state(hAPP_p1422361149_state(X18,X19),image_2003357581_state(X18,X20)) = image_2003357581_state(X18,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_546])]) ).

fof(c_0_962,plain,
    ! [X20,X21,X22] :
      ( ( insert1415133716_state(X21,X22) != insert1415133716_state(X21,X20)
        | X22 = X20
        | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X20))
        | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X22)) )
      & ( X22 != X20
        | insert1415133716_state(X21,X22) = insert1415133716_state(X21,X20)
        | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X20))
        | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X22)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_547])])]) ).

fof(c_0_963,plain,
    ! [X21,X22,X23,X24] :
      ( ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),insert1415133716_state(X22,bot_bo620288102e_bool)))
        | X21 = X22 )
      & ( X23 != X24
        | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X23),insert1415133716_state(X24,bot_bo620288102e_bool))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_548])])])]) ).

fof(c_0_964,plain,
    ! [X21,X22] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),insert1415133716_state(X22,bot_bo620288102e_bool)))
      | X21 = X22 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_549])]) ).

fof(c_0_965,plain,
    ! [X20,X21] :
      ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X21))
      | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X20),X21))
      | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_550])]) ).

fof(c_0_966,plain,
    ! [X20,X21] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X21))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21))
      | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_551])]) ).

fof(c_0_967,plain,
    ! [X20,X21] :
      ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X21))
      | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X20),X21))
      | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_552])]) ).

fof(c_0_968,plain,
    ! [X20,X21] :
      ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X21))
      | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X20),X21))
      | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_553])]) ).

fof(c_0_969,plain,
    ! [X20,X21] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X20),X21))
      | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X21))
      | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_554])]) ).

fof(c_0_970,plain,
    ! [X20,X21] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21))
      | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X21))
      | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_555])]) ).

fof(c_0_971,plain,
    ! [X20,X21] :
      ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X20),X21))
      | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X21))
      | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_556])]) ).

fof(c_0_972,plain,
    ! [X20,X21] :
      ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X20),X21))
      | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X21))
      | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_557])]) ).

fof(c_0_973,plain,
    ! [X7,X8,X9] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X8),X9))
      | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X7),X8))
      | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X7),X9)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_558])]) ).

fof(c_0_974,plain,
    ! [X19,X20,X21] :
      ( ( ~ hBOOL(hAPP_pname_bool(insert_pname(X19,X20),X21))
        | X19 = X21
        | hBOOL(hAPP_pname_bool(X20,X21))
        | ~ is_pname(X19)
        | ~ is_pname(X21) )
      & ( X19 != X21
        | hBOOL(hAPP_pname_bool(insert_pname(X19,X20),X21))
        | ~ is_pname(X19)
        | ~ is_pname(X21) )
      & ( ~ hBOOL(hAPP_pname_bool(X20,X21))
        | hBOOL(hAPP_pname_bool(insert_pname(X19,X20),X21))
        | ~ is_pname(X19)
        | ~ is_pname(X21) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_559])])]) ).

fof(c_0_975,plain,
    ! [X5,X6] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X5),X6))
      | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X6),X5)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_560])]) ).

fof(c_0_976,plain,
    ! [X19,X20,X21,X22,X23,X24] :
      ( ( ~ hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X19,X20),X21))
        | X19 = X21
        | hBOOL(hAPP_H78829294e_bool(X20,X21)) )
      & ( X22 != X24
        | hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X22,X23),X24)) )
      & ( ~ hBOOL(hAPP_H78829294e_bool(X23,X24))
        | hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X22,X23),X24)) ) ),
    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_561])])])])]) ).

fof(c_0_977,plain,
    ! [X17,X18,X19] :
      ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X18),X19))
      | image_187965177_pname(cOMBK_1589414042e_bool(X17),X19) = insert_pname(X17,bot_bo844097828e_bool) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_562])]) ).

fof(c_0_978,plain,
    ! [X17,X18,X19] :
      ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X18),X19))
      | image_1283814551_pname(cOMBK_948730864e_bool(X17),X19) = insert_pname(X17,bot_bo844097828e_bool) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_563])]) ).

fof(c_0_979,plain,
    ! [X17,X18,X19] :
      ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X18),X19))
      | image_18964633_state(cOMBK_701929478e_bool(X17),X19) = insert1415133716_state(X17,bot_bo620288102e_bool) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_564])]) ).

fof(c_0_980,plain,
    ! [X17,X18,X19] :
      ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X18),X19))
      | image_516545147_state(cOMBK_1503445380e_bool(X17),X19) = insert1415133716_state(X17,bot_bo620288102e_bool) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_565])]) ).

fof(c_0_981,plain,
    ! [X17,X18,X19] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X18),X19))
      | image_pname_pname(cOMBK_pname_pname(X17),X19) = insert_pname(X17,bot_bo844097828e_bool) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_566])]) ).

fof(c_0_982,plain,
    ! [X17,X18,X19] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X18),X19))
      | image_70449425e_bool(cOMBK_1706929794_pname(X17),X19) = insert1556680138e_bool(X17,bot_bo535777328l_bool) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_567])]) ).

fof(c_0_983,plain,
    ! [X17,X18,X19] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X18),X19))
      | image_47868345e_bool(cOMBK_37193422_pname(X17),X19) = insert1325755072e_bool(X17,bot_bo1649642514l_bool) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_568])]) ).

fof(c_0_984,plain,
    ! [X17,X18,X19] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X18),X19))
      | image_1828608335e_bool(cOMBK_1039769424_state(X17),X19) = insert1556680138e_bool(X17,bot_bo535777328l_bool) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_569])]) ).

fof(c_0_985,plain,
    ! [X17,X18,X19] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X18),X19))
      | image_2131964411e_bool(cOMBK_2035509764_state(X17),X19) = insert1325755072e_bool(X17,bot_bo1649642514l_bool) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_570])]) ).

fof(c_0_986,plain,
    ! [X17,X18,X19] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X18),X19))
      | image_54689091_pname(cOMBK_168215364_state(X17),X19) = insert_pname(X17,bot_bo844097828e_bool) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_571])]) ).

fof(c_0_987,plain,
    ! [X17,X18,X19] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X18),X19))
      | image_2003357581_state(cOMBK_367030522_pname(X17),X19) = insert1415133716_state(X17,bot_bo620288102e_bool) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_572])]) ).

fof(c_0_988,plain,
    ! [X13,X14,X15,X16] :
      ( ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X13,X14)))
        | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X14)) )
      & ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X16))
        | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X15,X16))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_573])])])]) ).

fof(c_0_989,plain,
    ! [X13,X14,X15,X16] :
      ( ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X13,X14)))
        | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X14)) )
      & ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X16))
        | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X15,X16))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_574])])])]) ).

fof(c_0_990,plain,
    ! [X13,X14,X15,X16] :
      ( ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X13,X14)))
        | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X14)) )
      & ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X16))
        | hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X15,X16))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_575])])])]) ).

fof(c_0_991,plain,
    ! [X13,X14,X15,X16] :
      ( ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X13,X14)))
        | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X14)) )
      & ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X16))
        | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X15,X16))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_576])])])]) ).

fof(c_0_992,plain,
    ! [X17,X18,X19,X20] :
      ( ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X17),X18))
        | hBOOL(hAPP_H78829294e_bool(X18,X17)) )
      & ( ~ hBOOL(hAPP_H78829294e_bool(X20,X19))
        | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X19),X20)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_577])])])]) ).

fof(c_0_993,plain,
    ! [X17,X18,X19,X20] :
      ( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X17),X18))
        | hBOOL(hAPP_pname_bool(X18,X17)) )
      & ( ~ hBOOL(hAPP_pname_bool(X20,X19))
        | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X19),X20)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_578])])])]) ).

fof(c_0_994,plain,
    ! [X26,X27,X28,X29] :
      ( ( X26 = X29
        | X26 = X28
        | insert_pname(X26,insert_pname(X27,bot_bo844097828e_bool)) != insert_pname(X28,insert_pname(X29,bot_bo844097828e_bool))
        | ~ is_pname(X26)
        | ~ is_pname(X27)
        | ~ is_pname(X28)
        | ~ is_pname(X29) )
      & ( X27 = X28
        | X26 = X28
        | insert_pname(X26,insert_pname(X27,bot_bo844097828e_bool)) != insert_pname(X28,insert_pname(X29,bot_bo844097828e_bool))
        | ~ is_pname(X26)
        | ~ is_pname(X27)
        | ~ is_pname(X28)
        | ~ is_pname(X29) )
      & ( X26 = X29
        | X27 = X29
        | insert_pname(X26,insert_pname(X27,bot_bo844097828e_bool)) != insert_pname(X28,insert_pname(X29,bot_bo844097828e_bool))
        | ~ is_pname(X26)
        | ~ is_pname(X27)
        | ~ is_pname(X28)
        | ~ is_pname(X29) )
      & ( X27 = X28
        | X27 = X29
        | insert_pname(X26,insert_pname(X27,bot_bo844097828e_bool)) != insert_pname(X28,insert_pname(X29,bot_bo844097828e_bool))
        | ~ is_pname(X26)
        | ~ is_pname(X27)
        | ~ is_pname(X28)
        | ~ is_pname(X29) )
      & ( X26 != X28
        | X27 != X29
        | insert_pname(X26,insert_pname(X27,bot_bo844097828e_bool)) = insert_pname(X28,insert_pname(X29,bot_bo844097828e_bool))
        | ~ is_pname(X26)
        | ~ is_pname(X27)
        | ~ is_pname(X28)
        | ~ is_pname(X29) )
      & ( X26 != X29
        | X27 != X28
        | insert_pname(X26,insert_pname(X27,bot_bo844097828e_bool)) = insert_pname(X28,insert_pname(X29,bot_bo844097828e_bool))
        | ~ is_pname(X26)
        | ~ is_pname(X27)
        | ~ is_pname(X28)
        | ~ is_pname(X29) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_579])])]) ).

fof(c_0_995,plain,
    ! [X13,X14] :
      ( ~ is_fun_pname_bool(X14)
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X13),X14))
      | insert_pname(X13,X14) = X14 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_580])]) ).

fof(c_0_996,plain,
    ! [X22,X24] :
      ( ( is_pname(esk20_1(X22))
        | X22 = bot_bo844097828e_bool
        | ~ is_fun_pname_bool(X22) )
      & ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk20_1(X22)),X22))
        | X22 = bot_bo844097828e_bool
        | ~ is_fun_pname_bool(X22) )
      & ( X22 != bot_bo844097828e_bool
        | ~ is_pname(X24)
        | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X24),X22))
        | ~ is_fun_pname_bool(X22) ) ),
    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_581])])])])]) ).

fof(c_0_997,plain,
    ! [X22,X24] :
      ( ( is_fun_pname_bool(esk17_1(X22))
        | X22 = bot_bo1649642514l_bool
        | ~ is_fun1661590463l_bool(X22) )
      & ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk17_1(X22)),X22))
        | X22 = bot_bo1649642514l_bool
        | ~ is_fun1661590463l_bool(X22) )
      & ( X22 != bot_bo1649642514l_bool
        | ~ is_fun_pname_bool(X24)
        | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X24),X22))
        | ~ is_fun1661590463l_bool(X22) ) ),
    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_582])])])])]) ).

fof(c_0_998,plain,
    ! [X22,X23] :
      ( ( ~ is_pname(X23)
        | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X23),X22))
        | X22 != bot_bo844097828e_bool
        | ~ is_fun_pname_bool(X22) )
      & ( is_pname(esk16_1(X22))
        | X22 = bot_bo844097828e_bool
        | ~ is_fun_pname_bool(X22) )
      & ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk16_1(X22)),X22))
        | X22 = bot_bo844097828e_bool
        | ~ is_fun_pname_bool(X22) ) ),
    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_583])])])])]) ).

fof(c_0_999,plain,
    ! [X22,X23] :
      ( ( ~ is_fun_pname_bool(X23)
        | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X23),X22))
        | X22 != bot_bo1649642514l_bool
        | ~ is_fun1661590463l_bool(X22) )
      & ( is_fun_pname_bool(esk13_1(X22))
        | X22 = bot_bo1649642514l_bool
        | ~ is_fun1661590463l_bool(X22) )
      & ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk13_1(X22)),X22))
        | X22 = bot_bo1649642514l_bool
        | ~ is_fun1661590463l_bool(X22) ) ),
    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_584])])])])]) ).

fof(c_0_1000,plain,
    ! [X41,X42] :
      ( ~ is_fun_pname_bool(X41)
      | ~ is_fun_pname_bool(X42)
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X41),X42))
      | X41 = X42 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_585])]) ).

fof(c_0_1001,plain,
    ! [X41,X42] :
      ( ~ is_pname(X41)
      | ~ is_pname(X42)
      | ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X41),X42))
      | X41 = X42 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_586])]) ).

fof(c_0_1002,axiom,
    is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))),
    c_0_587 ).

fof(c_0_1003,plain,
    ! [X13,X14] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X13),X14))
      | insert1415133716_state(X13,X14) = X14 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_588])]) ).

fof(c_0_1004,plain,
    ! [X39,X40] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X39),X40))
      | ~ hBOOL(X39)
      | hBOOL(X40) ),
    inference(variable_rename,[status(thm)],[c_0_589]) ).

fof(c_0_1005,plain,
    ! [X39,X40] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X39),X40))
      | hBOOL(X39)
      | hBOOL(X40) ),
    inference(variable_rename,[status(thm)],[c_0_590]) ).

fof(c_0_1006,plain,
    ! [X20,X21] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X20),insert1415133716_state(X21,X20))),
    inference(variable_rename,[status(thm)],[c_0_591]) ).

fof(c_0_1007,plain,
    ! [X20,X21] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),insert_pname(X21,X20))),
    inference(variable_rename,[status(thm)],[c_0_592]) ).

fof(c_0_1008,plain,
    ! [X20,X21] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),insert1415133716_state(X20,X21))),
    inference(variable_rename,[status(thm)],[c_0_593]) ).

fof(c_0_1009,plain,
    ! [X20,X21] : hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),insert_pname(X20,X21))),
    inference(variable_rename,[status(thm)],[c_0_594]) ).

fof(c_0_1010,plain,
    ! [X39,X40] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X39),X40))
      | hBOOL(X40) ),
    inference(variable_rename,[status(thm)],[c_0_595]) ).

fof(c_0_1011,plain,
    ! [X39,X40] :
      ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X39),X40))
      | hBOOL(X39) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_596])])]) ).

fof(c_0_1012,plain,
    ! [X10] :
      ( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X10),bot_bo844097828e_bool))
        | X10 = bot_bo844097828e_bool
        | ~ is_fun_pname_bool(X10) )
      & ( X10 != bot_bo844097828e_bool
        | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X10),bot_bo844097828e_bool))
        | ~ is_fun_pname_bool(X10) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_597])])]) ).

fof(c_0_1013,plain,
    ! [X13,X14] :
      ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X14))
      | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X13,X14))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_598])]) ).

fof(c_0_1014,plain,
    ! [X13,X14] :
      ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X14))
      | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X13,X14))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_599])]) ).

fof(c_0_1015,plain,
    ! [X13,X14] :
      ( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X14))
      | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,insert203537868l_bool(X13,X14))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_600])]) ).

fof(c_0_1016,plain,
    ! [X13,X14] :
      ( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X14))
      | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,insert1117693814l_bool(X13,X14))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_601])]) ).

fof(c_0_1017,plain,
    ! [X13,X14] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X14))
      | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X13,X14))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_602])]) ).

fof(c_0_1018,plain,
    ! [X13,X14] :
      ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X14))
      | hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X13,X14))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_603])]) ).

fof(c_0_1019,plain,
    ! [X12,X13] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X13))
      | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X12,X13))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_604])]) ).

fof(c_0_1020,plain,
    ! [X12,X13] :
      ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X13))
      | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_54689091_pname(X12,X13))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_605])]) ).

fof(c_0_1021,plain,
    ! [X12,X13] :
      ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X13))
      | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_2131964411e_bool(X12,X13))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_606])]) ).

fof(c_0_1022,plain,
    ! [X12,X13] :
      ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X13))
      | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_1828608335e_bool(X12,X13))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_607])]) ).

fof(c_0_1023,plain,
    ! [X12,X13] :
      ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X13))
      | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_1761575943l_bool(X12,X13))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_608])]) ).

fof(c_0_1024,plain,
    ! [X12,X13] :
      ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X13))
      | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1210605179l_bool(X12,X13))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_609])]) ).

fof(c_0_1025,plain,
    ! [X12,X13] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X13))
      | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X12,X13))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_610])]) ).

fof(c_0_1026,plain,
    ! [X12,X13] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X13))
      | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_70449425e_bool(X12,X13))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_611])]) ).

fof(c_0_1027,plain,
    ! [X12,X13] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X13))
      | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_288317893l_bool(X12,X13))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_612])]) ).

fof(c_0_1028,plain,
    ! [X12,X13] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X13))
      | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1642285373l_bool(X12,X13))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_613])]) ).

fof(c_0_1029,plain,
    ! [X12,X13] :
      ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X13))
      | hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_516545147_state(X12,X13))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_614])]) ).

fof(c_0_1030,plain,
    ! [X12,X13] :
      ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X13))
      | hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_18964633_state(X12,X13))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_615])]) ).

fof(c_0_1031,plain,
    ! [X12,X13] :
      ( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X13))
      | hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_892968839_state(X12,X13))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_616])]) ).

fof(c_0_1032,plain,
    ! [X12,X13] :
      ( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X13))
      | hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_677922117_state(X12,X13))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_617])]) ).

fof(c_0_1033,plain,
    ! [X12,X13] :
      ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X13))
      | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X12,X13))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_618])]) ).

fof(c_0_1034,plain,
    ! [X12,X13] :
      ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X13))
      | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_187965177_pname(X12,X13))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_619])]) ).

fof(c_0_1035,plain,
    ! [X12,X13] :
      ( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X13))
      | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1619336331_pname(X12,X13))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_620])]) ).

fof(c_0_1036,plain,
    ! [X12,X13] :
      ( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X13))
      | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1705983821_pname(X12,X13))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_621])]) ).

fof(c_0_1037,plain,
    ! [X12,X13] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X13))
      | hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_2003357581_state(X12,X13))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_622])]) ).

fof(c_0_1038,plain,
    ! [X22,X24,X25] :
      ( ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk19_1(X22)),X22))
        | X22 = bot_bo620288102e_bool )
      & ( X24 != bot_bo620288102e_bool
        | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X25),X24)) ) ),
    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_623])])])])]) ).

fof(c_0_1039,plain,
    ! [X22,X24,X25] :
      ( ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,esk18_1(X22)),X22))
        | X22 = bot_bo535777328l_bool )
      & ( X24 != bot_bo535777328l_bool
        | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X25),X24)) ) ),
    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_624])])])])]) ).

fof(c_0_1040,plain,
    ! [X22,X23,X24] :
      ( ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X23),X22))
        | X22 != bot_bo620288102e_bool )
      & ( X24 = bot_bo620288102e_bool
        | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk15_1(X24)),X24)) ) ),
    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_625])])])])]) ).

fof(c_0_1041,plain,
    ! [X22,X23,X24] :
      ( ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X23),X22))
        | X22 != bot_bo535777328l_bool )
      & ( X24 = bot_bo535777328l_bool
        | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,esk14_1(X24)),X24)) ) ),
    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_626])])])])]) ).

fof(c_0_1042,plain,
    ! [X13,X14] :
      ( X14 != bot_bo844097828e_bool
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X13),X14)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_627])]) ).

fof(c_0_1043,plain,
    ! [X13,X14] :
      ( X14 != bot_bo620288102e_bool
      | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X13),X14)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_628])]) ).

fof(c_0_1044,plain,
    ! [X13,X14] :
      ( X14 != bot_bo535777328l_bool
      | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X13),X14)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_629])]) ).

fof(c_0_1045,plain,
    ! [X13,X14] :
      ( X14 != bot_bo1649642514l_bool
      | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X13),X14)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_630])]) ).

fof(c_0_1046,plain,
    ! [X41,X42] :
      ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X41),X42))
      | X41 = X42 ),
    inference(variable_rename,[status(thm)],[c_0_631]) ).

fof(c_0_1047,plain,
    ! [X41,X42] :
      ( ~ hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X41),X42))
      | X41 = X42 ),
    inference(variable_rename,[status(thm)],[c_0_632]) ).

fof(c_0_1048,plain,
    ! [X26,X27,X28,X29,X30,X31,X32,X33] :
      ( ( X26 = X29
        | X26 = X28
        | insert1415133716_state(X26,insert1415133716_state(X27,bot_bo620288102e_bool)) != insert1415133716_state(X28,insert1415133716_state(X29,bot_bo620288102e_bool)) )
      & ( X27 = X28
        | X26 = X28
        | insert1415133716_state(X26,insert1415133716_state(X27,bot_bo620288102e_bool)) != insert1415133716_state(X28,insert1415133716_state(X29,bot_bo620288102e_bool)) )
      & ( X26 = X29
        | X27 = X29
        | insert1415133716_state(X26,insert1415133716_state(X27,bot_bo620288102e_bool)) != insert1415133716_state(X28,insert1415133716_state(X29,bot_bo620288102e_bool)) )
      & ( X27 = X28
        | X27 = X29
        | insert1415133716_state(X26,insert1415133716_state(X27,bot_bo620288102e_bool)) != insert1415133716_state(X28,insert1415133716_state(X29,bot_bo620288102e_bool)) )
      & ( X30 != X32
        | X31 != X33
        | insert1415133716_state(X30,insert1415133716_state(X31,bot_bo620288102e_bool)) = insert1415133716_state(X32,insert1415133716_state(X33,bot_bo620288102e_bool)) )
      & ( X30 != X33
        | X31 != X32
        | insert1415133716_state(X30,insert1415133716_state(X31,bot_bo620288102e_bool)) = insert1415133716_state(X32,insert1415133716_state(X33,bot_bo620288102e_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_633])])])])]) ).

fof(c_0_1049,plain,
    ! [X29,X30,X31] :
      ( hAPP_p799580910on_com(X29,X30) != some_com(X31)
      | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X30),dom_pname_com(X29))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_634])])])]) ).

fof(c_0_1050,plain,
    ! [X10,X11] :
      ( ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X10),bot_bo620288102e_bool))
        | X10 = bot_bo620288102e_bool )
      & ( X11 != bot_bo620288102e_bool
        | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X11),bot_bo620288102e_bool)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_635])])])]) ).

fof(c_0_1051,plain,
    ! [X16] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),bot_bo844097828e_bool)),
    inference(variable_rename,[status(thm)],[c_0_636]) ).

fof(c_0_1052,plain,
    ! [X16] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),bot_bo620288102e_bool)),
    inference(variable_rename,[status(thm)],[c_0_637]) ).

fof(c_0_1053,plain,
    ! [X16] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X16),bot_bo535777328l_bool)),
    inference(variable_rename,[status(thm)],[c_0_638]) ).

fof(c_0_1054,plain,
    ! [X16] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),bot_bo1649642514l_bool)),
    inference(variable_rename,[status(thm)],[c_0_639]) ).

fof(c_0_1055,plain,
    ! [X13] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X13),bot_bo844097828e_bool)),
    inference(variable_rename,[status(thm)],[c_0_640]) ).

fof(c_0_1056,plain,
    ! [X13] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X13),bot_bo535777328l_bool)),
    inference(variable_rename,[status(thm)],[c_0_641]) ).

fof(c_0_1057,plain,
    ! [X13] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X13),bot_bo1649642514l_bool)),
    inference(variable_rename,[status(thm)],[c_0_642]) ).

fof(c_0_1058,plain,
    ! [X13] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X13),bot_bo620288102e_bool)),
    inference(variable_rename,[status(thm)],[c_0_643]) ).

fof(c_0_1059,plain,
    ! [X35] :
      ( ~ hBOOL(wt(hAPP_pname_com(body_1,X35)))
      | hAPP_p799580910on_com(body,X35) = some_com(esk33_1(X35)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_644])])]) ).

fof(c_0_1060,plain,
    ! [X42,X43,X44] : hAPP_f166538662l_bool(cOMBS_1358309691l_bool(X42,X43),X44) = hAPP_bool_bool(hAPP_f2143399574l_bool(X42,X44),hAPP_f166538662l_bool(X43,X44)),
    inference(variable_rename,[status(thm)],[c_0_645]) ).

fof(c_0_1061,plain,
    ! [X42,X43,X44] : hAPP_f971112728l_bool(cOMBS_2066081387l_bool(X42,X43),X44) = hAPP_bool_bool(hAPP_f637090980l_bool(X42,X44),hAPP_f971112728l_bool(X43,X44)),
    inference(variable_rename,[status(thm)],[c_0_646]) ).

fof(c_0_1062,plain,
    ! [X42,X43,X44] : hAPP_f1935102916l_bool(cOMBS_811933079l_bool(X42,X43),X44) = hAPP_bool_bool(hAPP_f32027384l_bool(X42,X44),hAPP_f1935102916l_bool(X43,X44)),
    inference(variable_rename,[status(thm)],[c_0_647]) ).

fof(c_0_1063,plain,
    ! [X42,X43,X44] : hAPP_H78829294e_bool(cOMBS_458705923l_bool(X42,X43),X44) = hAPP_bool_bool(hAPP_H1187982158l_bool(X42,X44),hAPP_H78829294e_bool(X43,X44)),
    inference(variable_rename,[status(thm)],[c_0_648]) ).

fof(c_0_1064,plain,
    ! [X42,X43,X44] : hAPP_f1664156314l_bool(cOMBS_350070575l_bool(X42,X43),X44) = hAPP_bool_bool(hAPP_f1476298914l_bool(X42,X44),hAPP_f1664156314l_bool(X43,X44)),
    inference(variable_rename,[status(thm)],[c_0_649]) ).

fof(c_0_1065,plain,
    ! [X42,X43,X44] : hAPP_pname_bool(cOMBS_568398431l_bool(X42,X43),X44) = hAPP_bool_bool(hAPP_p393069232l_bool(X42,X44),hAPP_pname_bool(X43,X44)),
    inference(variable_rename,[status(thm)],[c_0_650]) ).

fof(c_0_1066,plain,
    ! [X20,X21,X22] : image_2003357581_state(X20,insert_pname(X21,X22)) = insert1415133716_state(hAPP_p1422361149_state(X20,X21),image_2003357581_state(X20,X22)),
    inference(variable_rename,[status(thm)],[c_0_651]) ).

fof(c_0_1067,plain,
    ! [X42,X43,X44] : hAPP_f468958928l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(X42),X43),X44) = hAPP_f468958928l_bool(hAPP_f667366769l_bool(X42,X44),X43),
    inference(variable_rename,[status(thm)],[c_0_652]) ).

fof(c_0_1068,plain,
    ! [X42,X43,X44] : hAPP_f166538662l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(X42),X43),X44) = hAPP_f166538662l_bool(hAPP_f585161855l_bool(X42,X44),X43),
    inference(variable_rename,[status(thm)],[c_0_653]) ).

fof(c_0_1069,plain,
    ! [X42,X43,X44] : hAPP_f971112728l_bool(hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(X42),X43),X44) = hAPP_f166538662l_bool(hAPP_f210337421l_bool(X42,X44),X43),
    inference(variable_rename,[status(thm)],[c_0_654]) ).

fof(c_0_1070,plain,
    ! [X42,X43,X44] : hAPP_f389811538l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(X42),X43),X44) = hAPP_f389811538l_bool(hAPP_f1759205631l_bool(X42,X44),X43),
    inference(variable_rename,[status(thm)],[c_0_655]) ).

fof(c_0_1071,plain,
    ! [X42,X43,X44] : hAPP_f971112728l_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(X42),X43),X44) = hAPP_f971112728l_bool(hAPP_f72706945l_bool(X42,X44),X43),
    inference(variable_rename,[status(thm)],[c_0_656]) ).

fof(c_0_1072,plain,
    ! [X42,X43,X44] : hAPP_H78829294e_bool(hAPP_f98417237e_bool(cOMBC_1734175330l_bool(X42),X43),X44) = hAPP_f971112728l_bool(hAPP_H30606679l_bool(X42,X44),X43),
    inference(variable_rename,[status(thm)],[c_0_657]) ).

fof(c_0_1073,plain,
    ! [X42,X43,X44] : hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(X42),X43),X44) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(X42,X44),X43),
    inference(variable_rename,[status(thm)],[c_0_658]) ).

fof(c_0_1074,plain,
    ! [X42,X43,X44] : hAPP_H78829294e_bool(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(X42),X43),X44) = hAPP_H78829294e_bool(hAPP_H1049623551e_bool(X42,X44),X43),
    inference(variable_rename,[status(thm)],[c_0_659]) ).

fof(c_0_1075,plain,
    ! [X42,X43,X44] : hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(X42),X43),X44) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(X42,X44),X43),
    inference(variable_rename,[status(thm)],[c_0_660]) ).

fof(c_0_1076,plain,
    ! [X42,X43,X44] : hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(X42),X43),X44) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(X42,X44),X43),
    inference(variable_rename,[status(thm)],[c_0_661]) ).

fof(c_0_1077,plain,
    ! [X42,X43,X44] : hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(X42),X43),X44) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(X42,X44),X43),
    inference(variable_rename,[status(thm)],[c_0_662]) ).

fof(c_0_1078,plain,
    ! [X42,X43,X44] : hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(X42),X43),X44) = hAPP_pname_bool(hAPP_p61793385e_bool(X42,X44),X43),
    inference(variable_rename,[status(thm)],[c_0_663]) ).

fof(c_0_1079,plain,
    ! [X39,X40] :
      ( ~ hBOOL(X40)
      | ~ hBOOL(X39)
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X40),X39)) ),
    inference(variable_rename,[status(thm)],[c_0_664]) ).

fof(c_0_1080,plain,
    ! [X39,X40] :
      ( ~ hBOOL(X40)
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X39),X40)) ),
    inference(variable_rename,[status(thm)],[c_0_665]) ).

fof(c_0_1081,plain,
    ! [X39,X40] :
      ( ~ hBOOL(X40)
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X39),X40)) ),
    inference(variable_rename,[status(thm)],[c_0_666]) ).

fof(c_0_1082,plain,
    ! [X39,X40] :
      ( ~ hBOOL(X40)
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X40),X39)) ),
    inference(variable_rename,[status(thm)],[c_0_667]) ).

fof(c_0_1083,plain,
    ! [X39,X40] :
      ( hBOOL(X40)
      | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X40),X39)) ),
    inference(variable_rename,[status(thm)],[c_0_668]) ).

fof(c_0_1084,plain,
    ! [X42,X43,X44] : hAPP_f2143399574l_bool(cOMBB_404111180l_bool(X42,X43),X44) = hAPP_b589554111l_bool(X42,hAPP_f166538662l_bool(X43,X44)),
    inference(variable_rename,[status(thm)],[c_0_669]) ).

fof(c_0_1085,plain,
    ! [X42,X43,X44] : hAPP_f637090980l_bool(cOMBB_1585081418e_bool(X42,X43),X44) = hAPP_b589554111l_bool(X42,hAPP_f971112728l_bool(X43,X44)),
    inference(variable_rename,[status(thm)],[c_0_670]) ).

fof(c_0_1086,plain,
    ! [X42,X43,X44] : hAPP_f32027384l_bool(cOMBB_689948150l_bool(X42,X43),X44) = hAPP_b589554111l_bool(X42,hAPP_f1935102916l_bool(X43,X44)),
    inference(variable_rename,[status(thm)],[c_0_671]) ).

fof(c_0_1087,plain,
    ! [X42,X43,X44] : hAPP_H1187982158l_bool(cOMBB_962198420_state(X42,X43),X44) = hAPP_b589554111l_bool(X42,hAPP_H78829294e_bool(X43,X44)),
    inference(variable_rename,[status(thm)],[c_0_672]) ).

fof(c_0_1088,plain,
    ! [X42,X43,X44] : hAPP_f971112728l_bool(cOMBB_1522210668e_bool(X42,X43),X44) = hAPP_bool_bool(X42,hAPP_f971112728l_bool(X43,X44)),
    inference(variable_rename,[status(thm)],[c_0_673]) ).

fof(c_0_1089,plain,
    ! [X42,X43,X44] : hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(X42,X43),X44) = hAPP_b589554111l_bool(X42,hAPP_f1664156314l_bool(X43,X44)),
    inference(variable_rename,[status(thm)],[c_0_674]) ).

fof(c_0_1090,plain,
    ! [X42,X43,X44] : hAPP_H78829294e_bool(cOMBB_2144135922_state(X42,X43),X44) = hAPP_bool_bool(X42,hAPP_H78829294e_bool(X43,X44)),
    inference(variable_rename,[status(thm)],[c_0_675]) ).

fof(c_0_1091,plain,
    ! [X42,X43,X44] : hAPP_p1422361149_state(cOMBB_699532858_pname(X42,X43),X44) = hAPP_c1126217667_state(X42,hAPP_pname_com(X43,X44)),
    inference(variable_rename,[status(thm)],[c_0_676]) ).

fof(c_0_1092,plain,
    ! [X42,X43,X44] : hAPP_p393069232l_bool(cOMBB_675860798_pname(X42,X43),X44) = hAPP_b589554111l_bool(X42,hAPP_pname_bool(X43,X44)),
    inference(variable_rename,[status(thm)],[c_0_677]) ).

fof(c_0_1093,plain,
    ! [X42,X43,X44] : hAPP_f1664156314l_bool(cOMBB_307249310e_bool(X42,X43),X44) = hAPP_bool_bool(X42,hAPP_f1664156314l_bool(X43,X44)),
    inference(variable_rename,[status(thm)],[c_0_678]) ).

fof(c_0_1094,plain,
    ! [X42,X43,X44] : hAPP_pname_com(cOMBB_923936821_pname(X42,X43),X44) = hAPP_option_com_com(X42,hAPP_p799580910on_com(X43,X44)),
    inference(variable_rename,[status(thm)],[c_0_679]) ).

fof(c_0_1095,plain,
    ! [X42,X43,X44] : hAPP_pname_bool(cOMBB_647938656_pname(X42,X43),X44) = hAPP_bool_bool(X42,hAPP_pname_bool(X43,X44)),
    inference(variable_rename,[status(thm)],[c_0_680]) ).

fof(c_0_1096,plain,
    ! [X19,X20,X21] : insert1415133716_state(X19,insert1415133716_state(X20,X21)) = insert1415133716_state(X20,insert1415133716_state(X19,X21)),
    inference(variable_rename,[status(thm)],[c_0_681]) ).

fof(c_0_1097,plain,
    ! [X19,X20,X21] : insert_pname(X19,insert_pname(X20,X21)) = insert_pname(X20,insert_pname(X19,X21)),
    inference(variable_rename,[status(thm)],[c_0_682]) ).

fof(c_0_1098,plain,
    ! [X41,X42] :
      ( X41 != X42
      | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X41),X42)) ),
    inference(variable_rename,[status(thm)],[c_0_683]) ).

fof(c_0_1099,plain,
    ! [X41,X42] :
      ( X41 != X42
      | hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X41),X42)) ),
    inference(variable_rename,[status(thm)],[c_0_684]) ).

fof(c_0_1100,plain,
    ! [X41,X42] :
      ( X41 != X42
      | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X41),X42)) ),
    inference(variable_rename,[status(thm)],[c_0_685]) ).

fof(c_0_1101,plain,
    ! [X41,X42] :
      ( X41 != X42
      | hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X41),X42)) ),
    inference(variable_rename,[status(thm)],[c_0_686]) ).

fof(c_0_1102,plain,
    ! [X20,X21] :
      ( X20 != X21
      | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X20),X21)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_687])]) ).

fof(c_0_1103,plain,
    ! [X20,X21] :
      ( X20 != X21
      | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_688])]) ).

fof(c_0_1104,plain,
    ! [X20,X21] :
      ( X20 != X21
      | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X21),X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_689])]) ).

fof(c_0_1105,plain,
    ! [X20,X21] :
      ( X20 != X21
      | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_690])]) ).

fof(c_0_1106,plain,
    ! [X20,X21] :
      ( ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X20),X21))
        | X20 != X21 )
      & ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X21),X20))
        | X20 != X21 ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_691])])]) ).

fof(c_0_1107,plain,
    ! [X20,X21] :
      ( ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21))
        | X20 != X21 )
      & ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X20))
        | X20 != X21 ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_692])])]) ).

fof(c_0_1108,plain,
    ! [X10] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X10),X10)),
    inference(variable_rename,[status(thm)],[c_0_693]) ).

fof(c_0_1109,plain,
    ! [X10] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X10),X10)),
    inference(variable_rename,[status(thm)],[c_0_694]) ).

fof(c_0_1110,plain,
    ! [X10] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X10)),
    inference(variable_rename,[status(thm)],[c_0_695]) ).

fof(c_0_1111,plain,
    ! [X10] : hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,bot_bo535777328l_bool),X10)),
    inference(variable_rename,[status(thm)],[c_0_696]) ).

fof(c_0_1112,plain,
    ! [X10] : hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,bot_bo1649642514l_bool),X10)),
    inference(variable_rename,[status(thm)],[c_0_697]) ).

fof(c_0_1113,plain,
    ! [X10] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,bot_bo620288102e_bool),X10)),
    inference(variable_rename,[status(thm)],[c_0_698]) ).

fof(c_0_1114,plain,
    ! [X22,X23,X24] :
      ( ( bot_bo844097828e_bool != collect_pname(X22)
        | ~ is_pname(X23)
        | ~ hBOOL(hAPP_pname_bool(X22,X23)) )
      & ( is_pname(esk12_1(X24))
        | bot_bo844097828e_bool = collect_pname(X24) )
      & ( hBOOL(hAPP_pname_bool(X24,esk12_1(X24)))
        | bot_bo844097828e_bool = collect_pname(X24) ) ),
    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_699])])])])])]) ).

fof(c_0_1115,plain,
    ! [X22,X23,X24] :
      ( ( bot_bo1649642514l_bool != collec1974731493e_bool(X22)
        | ~ is_fun_pname_bool(X23)
        | ~ hBOOL(hAPP_f1664156314l_bool(X22,X23)) )
      & ( is_fun_pname_bool(esk10_1(X24))
        | bot_bo1649642514l_bool = collec1974731493e_bool(X24) )
      & ( hBOOL(hAPP_f1664156314l_bool(X24,esk10_1(X24)))
        | bot_bo1649642514l_bool = collec1974731493e_bool(X24) ) ),
    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_700])])])])])]) ).

fof(c_0_1116,plain,
    ! [X22,X23,X24] :
      ( ( bot_bo1537088220l_bool != collec1613912337l_bool(X22)
        | ~ is_fun1661590463l_bool(X23)
        | ~ hBOOL(hAPP_f1935102916l_bool(X22,X23)) )
      & ( is_fun1661590463l_bool(esk7_1(X24))
        | bot_bo1537088220l_bool = collec1613912337l_bool(X24) )
      & ( hBOOL(hAPP_f1935102916l_bool(X24,esk7_1(X24)))
        | bot_bo1537088220l_bool = collec1613912337l_bool(X24) ) ),
    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_701])])])])])]) ).

fof(c_0_1117,plain,
    ! [X22,X23,X24] :
      ( ( collect_pname(X22) != bot_bo844097828e_bool
        | ~ is_pname(X23)
        | ~ hBOOL(hAPP_pname_bool(X22,X23)) )
      & ( is_pname(esk6_1(X24))
        | collect_pname(X24) = bot_bo844097828e_bool )
      & ( hBOOL(hAPP_pname_bool(X24,esk6_1(X24)))
        | collect_pname(X24) = bot_bo844097828e_bool ) ),
    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_702])])])])])]) ).

fof(c_0_1118,plain,
    ! [X22,X23,X24] :
      ( ( collec1974731493e_bool(X22) != bot_bo1649642514l_bool
        | ~ is_fun_pname_bool(X23)
        | ~ hBOOL(hAPP_f1664156314l_bool(X22,X23)) )
      & ( is_fun_pname_bool(esk4_1(X24))
        | collec1974731493e_bool(X24) = bot_bo1649642514l_bool )
      & ( hBOOL(hAPP_f1664156314l_bool(X24,esk4_1(X24)))
        | collec1974731493e_bool(X24) = bot_bo1649642514l_bool ) ),
    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_703])])])])])]) ).

fof(c_0_1119,plain,
    ! [X22,X23,X24] :
      ( ( collec1613912337l_bool(X22) != bot_bo1537088220l_bool
        | ~ is_fun1661590463l_bool(X23)
        | ~ hBOOL(hAPP_f1935102916l_bool(X22,X23)) )
      & ( is_fun1661590463l_bool(esk1_1(X24))
        | collec1613912337l_bool(X24) = bot_bo1537088220l_bool )
      & ( hBOOL(hAPP_f1935102916l_bool(X24,esk1_1(X24)))
        | collec1613912337l_bool(X24) = bot_bo1537088220l_bool ) ),
    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_704])])])])])]) ).

fof(c_0_1120,plain,
    ! [X38,X39] :
      ( ( hAPP_pname_com(body_1,X38) != hAPP_pname_com(body_1,X39)
        | X38 = X39
        | ~ is_pname(X38)
        | ~ is_pname(X39) )
      & ( X38 != X39
        | hAPP_pname_com(body_1,X38) = hAPP_pname_com(body_1,X39)
        | ~ is_pname(X38)
        | ~ is_pname(X39) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_705])])]) ).

fof(c_0_1121,plain,
    ! [X21,X22] :
      ( ~ is_pname(X21)
      | ~ is_pname(X22)
      | insert_pname(X21,bot_bo844097828e_bool) != insert_pname(X22,bot_bo844097828e_bool)
      | X21 = X22 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_706])]) ).

fof(c_0_1122,plain,
    ! [X22,X23,X24] :
      ( ( bot_bo620288102e_bool != collec307967673_state(X22)
        | ~ hBOOL(hAPP_H78829294e_bool(X22,X23)) )
      & ( hBOOL(hAPP_H78829294e_bool(X24,esk11_1(X24)))
        | bot_bo620288102e_bool = collec307967673_state(X24) ) ),
    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_707])])])])]) ).

fof(c_0_1123,plain,
    ! [X22,X23,X24] :
      ( ( bot_bo535777328l_bool != collec1823980261e_bool(X22)
        | ~ hBOOL(hAPP_f971112728l_bool(X22,X23)) )
      & ( hBOOL(hAPP_f971112728l_bool(X24,esk9_1(X24)))
        | bot_bo535777328l_bool = collec1823980261e_bool(X24) ) ),
    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_708])])])])]) ).

fof(c_0_1124,plain,
    ! [X22,X23,X24] :
      ( ( bot_bo1761158942l_bool != collec488126193l_bool(X22)
        | ~ hBOOL(hAPP_f166538662l_bool(X22,X23)) )
      & ( hBOOL(hAPP_f166538662l_bool(X24,esk8_1(X24)))
        | bot_bo1761158942l_bool = collec488126193l_bool(X24) ) ),
    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_709])])])])]) ).

fof(c_0_1125,plain,
    ! [X22,X23,X24] :
      ( ( collec307967673_state(X22) != bot_bo620288102e_bool
        | ~ hBOOL(hAPP_H78829294e_bool(X22,X23)) )
      & ( hBOOL(hAPP_H78829294e_bool(X24,esk5_1(X24)))
        | collec307967673_state(X24) = bot_bo620288102e_bool ) ),
    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_710])])])])]) ).

fof(c_0_1126,plain,
    ! [X22,X23,X24] :
      ( ( collec1823980261e_bool(X22) != bot_bo535777328l_bool
        | ~ hBOOL(hAPP_f971112728l_bool(X22,X23)) )
      & ( hBOOL(hAPP_f971112728l_bool(X24,esk3_1(X24)))
        | collec1823980261e_bool(X24) = bot_bo535777328l_bool ) ),
    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_711])])])])]) ).

fof(c_0_1127,plain,
    ! [X22,X23,X24] :
      ( ( collec488126193l_bool(X22) != bot_bo1761158942l_bool
        | ~ hBOOL(hAPP_f166538662l_bool(X22,X23)) )
      & ( hBOOL(hAPP_f166538662l_bool(X24,esk2_1(X24)))
        | collec488126193l_bool(X24) = bot_bo1761158942l_bool ) ),
    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_712])])])])]) ).

fof(c_0_1128,plain,
    ! [X17,X18] : insert1415133716_state(X17,insert1415133716_state(X17,X18)) = insert1415133716_state(X17,X18),
    inference(variable_rename,[status(thm)],[c_0_713]) ).

fof(c_0_1129,plain,
    ! [X17,X18] : insert_pname(X17,insert_pname(X17,X18)) = insert_pname(X17,X18),
    inference(variable_rename,[status(thm)],[c_0_714]) ).

fof(c_0_1130,plain,
    ! [X19,X20,X21] :
      ( hAPP_f2134636538on_com(X19,X20) != some_com(X21)
      | insert1556680138e_bool(X20,dom_fu1342267980ol_com(X19)) = dom_fu1342267980ol_com(X19) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_715])])])]) ).

fof(c_0_1131,plain,
    ! [X19,X20,X21] :
      ( hAPP_f2138803836on_com(X19,X20) != some_com(X21)
      | insert1325755072e_bool(X20,dom_fu2081503504ol_com(X19)) = dom_fu2081503504ol_com(X19) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_716])])])]) ).

fof(c_0_1132,plain,
    ! [X19,X20,X21] :
      ( hAPP_p799580910on_com(X19,X20) != some_com(X21)
      | insert_pname(X20,dom_pname_com(X19)) = dom_pname_com(X19) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_717])])])]) ).

fof(c_0_1133,plain,
    ! [X34] :
      ( ~ hBOOL(hAPP_bool_bool(fNot,X34))
      | ~ hBOOL(X34) ),
    inference(variable_rename,[status(thm)],[c_0_718]) ).

fof(c_0_1134,axiom,
    is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))),
    c_0_719 ).

fof(c_0_1135,plain,
    ! [X13] : collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X13)) = insert1556680138e_bool(X13,bot_bo535777328l_bool),
    inference(variable_rename,[status(thm)],[c_0_720]) ).

fof(c_0_1136,plain,
    ! [X13] : collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X13)) = insert1325755072e_bool(X13,bot_bo1649642514l_bool),
    inference(variable_rename,[status(thm)],[c_0_721]) ).

fof(c_0_1137,plain,
    ! [X13] : collec307967673_state(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X13)) = insert1415133716_state(X13,bot_bo620288102e_bool),
    inference(variable_rename,[status(thm)],[c_0_722]) ).

fof(c_0_1138,plain,
    ! [X13] : collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X13)) = insert_pname(X13,bot_bo844097828e_bool),
    inference(variable_rename,[status(thm)],[c_0_723]) ).

fof(c_0_1139,plain,
    ! [X3,X4] :
      ( ~ is_fun1661590463l_bool(X3)
      | ~ is_fun_pname_bool(X4)
      | is_bool(hAPP_f1664156314l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_724])]) ).

fof(c_0_1140,plain,
    ! [X3,X4] :
      ( ~ is_fun_pname_bool(X3)
      | ~ is_pname(X4)
      | is_bool(hAPP_pname_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_725])]) ).

fof(c_0_1141,plain,
    ! [X3,X4] :
      ( ~ is_fun_pname_bool(X3)
      | ~ is_fun1661590463l_bool(X4)
      | is_fun1661590463l_bool(insert1325755072e_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_726])]) ).

fof(c_0_1142,plain,
    ! [X3,X4] :
      ( ~ is_pname(X3)
      | ~ is_fun_pname_bool(X4)
      | is_fun_pname_bool(insert_pname(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_727])]) ).

fof(c_0_1143,plain,
    ! [X31,X32] :
      ( ~ hBOOL(wT_bodies)
      | hAPP_p799580910on_com(body,X31) != some_com(X32)
      | hBOOL(wt(X32)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_728])])])]) ).

fof(c_0_1144,plain,
    ! [X21,X22] :
      ( insert1415133716_state(X21,bot_bo620288102e_bool) != insert1415133716_state(X22,bot_bo620288102e_bool)
      | X21 = X22 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_729])]) ).

fof(c_0_1145,plain,
    ! [X16,X17] :
      ( ( X17 != bot_bo1649642514l_bool
        | image_1283814551_pname(cOMBK_948730864e_bool(X16),X17) = bot_bo844097828e_bool
        | ~ is_fun1661590463l_bool(X17) )
      & ( X17 = bot_bo1649642514l_bool
        | image_1283814551_pname(cOMBK_948730864e_bool(X16),X17) = insert_pname(X16,bot_bo844097828e_bool)
        | ~ is_fun1661590463l_bool(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_730])])]) ).

fof(c_0_1146,plain,
    ! [X16,X17] :
      ( ( X17 != bot_bo1649642514l_bool
        | image_516545147_state(cOMBK_1503445380e_bool(X16),X17) = bot_bo620288102e_bool
        | ~ is_fun1661590463l_bool(X17) )
      & ( X17 = bot_bo1649642514l_bool
        | image_516545147_state(cOMBK_1503445380e_bool(X16),X17) = insert1415133716_state(X16,bot_bo620288102e_bool)
        | ~ is_fun1661590463l_bool(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_731])])]) ).

fof(c_0_1147,plain,
    ! [X16,X17] :
      ( ( X17 != bot_bo844097828e_bool
        | image_pname_pname(cOMBK_pname_pname(X16),X17) = bot_bo844097828e_bool
        | ~ is_fun_pname_bool(X17) )
      & ( X17 = bot_bo844097828e_bool
        | image_pname_pname(cOMBK_pname_pname(X16),X17) = insert_pname(X16,bot_bo844097828e_bool)
        | ~ is_fun_pname_bool(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_732])])]) ).

fof(c_0_1148,plain,
    ! [X16,X17] :
      ( ( X17 != bot_bo844097828e_bool
        | image_70449425e_bool(cOMBK_1706929794_pname(X16),X17) = bot_bo535777328l_bool
        | ~ is_fun_pname_bool(X17) )
      & ( X17 = bot_bo844097828e_bool
        | image_70449425e_bool(cOMBK_1706929794_pname(X16),X17) = insert1556680138e_bool(X16,bot_bo535777328l_bool)
        | ~ is_fun_pname_bool(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_733])])]) ).

fof(c_0_1149,plain,
    ! [X16,X17] :
      ( ( X17 != bot_bo844097828e_bool
        | image_47868345e_bool(cOMBK_37193422_pname(X16),X17) = bot_bo1649642514l_bool
        | ~ is_fun_pname_bool(X17) )
      & ( X17 = bot_bo844097828e_bool
        | image_47868345e_bool(cOMBK_37193422_pname(X16),X17) = insert1325755072e_bool(X16,bot_bo1649642514l_bool)
        | ~ is_fun_pname_bool(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_734])])]) ).

fof(c_0_1150,plain,
    ! [X16,X17] :
      ( ( X17 != bot_bo844097828e_bool
        | image_2003357581_state(cOMBK_367030522_pname(X16),X17) = bot_bo620288102e_bool
        | ~ is_fun_pname_bool(X17) )
      & ( X17 = bot_bo844097828e_bool
        | image_2003357581_state(cOMBK_367030522_pname(X16),X17) = insert1415133716_state(X16,bot_bo620288102e_bool)
        | ~ is_fun_pname_bool(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_735])])]) ).

fof(c_0_1151,plain,
    ! [X13] : collec1823980261e_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X13)) = insert1556680138e_bool(X13,bot_bo535777328l_bool),
    inference(variable_rename,[status(thm)],[c_0_736]) ).

fof(c_0_1152,plain,
    ! [X13] : collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X13)) = insert1325755072e_bool(X13,bot_bo1649642514l_bool),
    inference(variable_rename,[status(thm)],[c_0_737]) ).

fof(c_0_1153,plain,
    ! [X13] : collec307967673_state(hAPP_H1049623551e_bool(fequal1111551311_state,X13)) = insert1415133716_state(X13,bot_bo620288102e_bool),
    inference(variable_rename,[status(thm)],[c_0_738]) ).

fof(c_0_1154,plain,
    ! [X13] : collect_pname(hAPP_p61793385e_bool(fequal_pname,X13)) = insert_pname(X13,bot_bo844097828e_bool),
    inference(variable_rename,[status(thm)],[c_0_739]) ).

fof(c_0_1155,plain,
    ! [X4] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X4),bot_bo620288102e_bool)),
    inference(variable_rename,[status(thm)],[c_0_740]) ).

fof(c_0_1156,plain,
    ! [X3,X4] :
      ( ~ is_fun1661590463l_bool(X4)
      | is_fun1661590463l_bool(hAPP_f559147733l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_741])]) ).

fof(c_0_1157,plain,
    ! [X3,X4] :
      ( ~ is_fun1661590463l_bool(X4)
      | is_bool(hAPP_f1935102916l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_742])]) ).

fof(c_0_1158,plain,
    ! [X3,X4] :
      ( ~ is_fun_pname_bool(X4)
      | is_fun1661590463l_bool(hAPP_f434788991l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_743])]) ).

fof(c_0_1159,plain,
    ! [X3,X4] :
      ( ~ is_fun_pname_bool(X4)
      | is_fun_pname_bool(hAPP_f759274231e_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_744])]) ).

fof(c_0_1160,plain,
    ! [X3,X4] :
      ( ~ is_fun_pname_bool(X4)
      | is_pname(hAPP_f1297739591_pname(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_745])]) ).

fof(c_0_1161,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_746])]) ).

fof(c_0_1162,plain,
    ! [X3,X4] :
      ( ~ is_pname(X4)
      | is_fun1661590463l_bool(hAPP_p338031245l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_747])]) ).

fof(c_0_1163,plain,
    ! [X3,X4] :
      ( ~ is_pname(X4)
      | is_fun_pname_bool(hAPP_p61793385e_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_748])]) ).

fof(c_0_1164,plain,
    ! [X3,X4] :
      ( ~ is_pname(X4)
      | is_pname(hAPP_pname_pname(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_749])]) ).

fof(c_0_1165,plain,
    ! [X3,X4] :
      ( ~ is_fun1661590463l_bool(X4)
      | is_fun_pname_bool(image_1283814551_pname(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_750])]) ).

fof(c_0_1166,plain,
    ! [X3,X4] :
      ( ~ is_fun_pname_bool(X4)
      | is_fun1661590463l_bool(image_47868345e_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_751])]) ).

fof(c_0_1167,plain,
    ! [X3,X4] :
      ( ~ is_fun_pname_bool(X4)
      | is_fun_pname_bool(image_pname_pname(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_752])]) ).

fof(c_0_1168,plain,
    ! [X3,X4] :
      ( ~ is_fun1661590463l_bool(X4)
      | is_fun1661590463l_bool(cOMBS_350070575l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_753])]) ).

fof(c_0_1169,plain,
    ! [X3,X4] :
      ( ~ is_fun_pname_bool(X4)
      | is_fun_pname_bool(cOMBS_568398431l_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_754])]) ).

fof(c_0_1170,plain,
    ! [X3,X4] :
      ( ~ is_fun1661590463l_bool(X4)
      | is_fun1661590463l_bool(cOMBB_307249310e_bool(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_755])]) ).

fof(c_0_1171,plain,
    ! [X3,X4] :
      ( ~ is_fun_pname_bool(X4)
      | is_fun_pname_bool(cOMBB_647938656_pname(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_756])]) ).

fof(c_0_1172,plain,
    ! [X16,X17,X18,X19] :
      ( ( X17 != bot_bo535777328l_bool
        | image_187965177_pname(cOMBK_1589414042e_bool(X16),X17) = bot_bo844097828e_bool )
      & ( X19 = bot_bo535777328l_bool
        | image_187965177_pname(cOMBK_1589414042e_bool(X18),X19) = insert_pname(X18,bot_bo844097828e_bool) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_757])])])]) ).

fof(c_0_1173,plain,
    ! [X16,X17,X18,X19] :
      ( ( X17 != bot_bo535777328l_bool
        | image_18964633_state(cOMBK_701929478e_bool(X16),X17) = bot_bo620288102e_bool )
      & ( X19 = bot_bo535777328l_bool
        | image_18964633_state(cOMBK_701929478e_bool(X18),X19) = insert1415133716_state(X18,bot_bo620288102e_bool) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_758])])])]) ).

fof(c_0_1174,plain,
    ! [X16,X17,X18,X19] :
      ( ( X17 != bot_bo620288102e_bool
        | image_1828608335e_bool(cOMBK_1039769424_state(X16),X17) = bot_bo535777328l_bool )
      & ( X19 = bot_bo620288102e_bool
        | image_1828608335e_bool(cOMBK_1039769424_state(X18),X19) = insert1556680138e_bool(X18,bot_bo535777328l_bool) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_759])])])]) ).

fof(c_0_1175,plain,
    ! [X16,X17,X18,X19] :
      ( ( X17 != bot_bo620288102e_bool
        | image_2131964411e_bool(cOMBK_2035509764_state(X16),X17) = bot_bo1649642514l_bool )
      & ( X19 = bot_bo620288102e_bool
        | image_2131964411e_bool(cOMBK_2035509764_state(X18),X19) = insert1325755072e_bool(X18,bot_bo1649642514l_bool) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_760])])])]) ).

fof(c_0_1176,plain,
    ! [X16,X17,X18,X19] :
      ( ( X17 != bot_bo620288102e_bool
        | image_54689091_pname(cOMBK_168215364_state(X16),X17) = bot_bo844097828e_bool )
      & ( X19 = bot_bo620288102e_bool
        | image_54689091_pname(cOMBK_168215364_state(X18),X19) = insert_pname(X18,bot_bo844097828e_bool) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_761])])])]) ).

fof(c_0_1177,axiom,
    hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,dom_pname_com(body))),
    c_0_762 ).

fof(c_0_1178,plain,
    ! [X34] :
      ( hBOOL(X34)
      | hBOOL(hAPP_bool_bool(fNot,X34)) ),
    inference(variable_rename,[status(thm)],[c_0_763]) ).

fof(c_0_1179,plain,
    ! [X18,X19] :
      ( ( bot_bo620288102e_bool != image_2003357581_state(X18,X19)
        | X19 = bot_bo844097828e_bool
        | ~ is_fun_pname_bool(X19) )
      & ( X19 != bot_bo844097828e_bool
        | bot_bo620288102e_bool = image_2003357581_state(X18,X19)
        | ~ is_fun_pname_bool(X19) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_764])])]) ).

fof(c_0_1180,plain,
    ! [X18,X19] :
      ( ( image_2003357581_state(X18,X19) != bot_bo620288102e_bool
        | X19 = bot_bo844097828e_bool
        | ~ is_fun_pname_bool(X19) )
      & ( X19 != bot_bo844097828e_bool
        | image_2003357581_state(X18,X19) = bot_bo620288102e_bool
        | ~ is_fun_pname_bool(X19) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_765])])]) ).

fof(c_0_1181,plain,
    ! [X3,X4] : is_bool(hAPP_f1022807134l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_766]) ).

fof(c_0_1182,plain,
    ! [X3,X4] : is_bool(hAPP_f595608956l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_767]) ).

fof(c_0_1183,plain,
    ! [X3,X4] : is_bool(hAPP_f468958928l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_768]) ).

fof(c_0_1184,plain,
    ! [X3,X4] : is_bool(hAPP_f389811538l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_769]) ).

fof(c_0_1185,plain,
    ! [X3,X4] : is_bool(hAPP_f166538662l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_770]) ).

fof(c_0_1186,plain,
    ! [X3,X4] : is_pname(hAPP_f560369737_pname(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_771]) ).

fof(c_0_1187,plain,
    ! [X3,X4] : is_fun_pname_bool(hAPP_H356885323e_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_772]) ).

fof(c_0_1188,plain,
    ! [X3,X4] : is_bool(hAPP_H78829294e_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_773]) ).

fof(c_0_1189,plain,
    ! [X3,X4] : is_pname(hAPP_H1621176307_pname(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_774]) ).

fof(c_0_1190,plain,
    ! [X3,X4] : is_fun_pname_bool(image_1619336331_pname(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_775]) ).

fof(c_0_1191,plain,
    ! [X3,X4] : is_fun_pname_bool(image_1705983821_pname(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_776]) ).

fof(c_0_1192,plain,
    ! [X3,X4] : is_fun_pname_bool(image_187965177_pname(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_777]) ).

fof(c_0_1193,plain,
    ! [X3,X4] : is_fun1661590463l_bool(image_2131964411e_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_778]) ).

fof(c_0_1194,plain,
    ! [X3,X4] : is_fun_pname_bool(image_54689091_pname(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_779]) ).

fof(c_0_1195,plain,
    ! [X39,X40] :
      ( ~ is_bool(X39)
      | hAPP_f166538662l_bool(cOMBK_482404831l_bool(X39),X40) = X39 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_780])])])]) ).

fof(c_0_1196,plain,
    ! [X39,X40] :
      ( ~ is_fun_pname_bool(X39)
      | hAPP_H356885323e_bool(cOMBK_2035509764_state(X39),X40) = X39 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_781])])])]) ).

fof(c_0_1197,plain,
    ! [X39,X40] :
      ( ~ is_pname(X39)
      | hAPP_f560369737_pname(cOMBK_1589414042e_bool(X39),X40) = X39 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_782])])])]) ).

fof(c_0_1198,plain,
    ! [X39,X40] :
      ( ~ is_bool(X39)
      | hAPP_f971112728l_bool(cOMBK_129401207e_bool(X39),X40) = X39 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_783])])])]) ).

fof(c_0_1199,plain,
    ! [X39,X40] :
      ( ~ is_pname(X39)
      | hAPP_H1621176307_pname(cOMBK_168215364_state(X39),X40) = X39 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_784])])])]) ).

fof(c_0_1200,plain,
    ! [X39,X40] :
      ( ~ is_bool(X39)
      | hAPP_H78829294e_bool(cOMBK_659609255_state(X39),X40) = X39 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_785])])])]) ).

fof(c_0_1201,plain,
    ! [X39,X40] :
      ( ~ is_fun_pname_bool(X39)
      | hAPP_p61793385e_bool(cOMBK_37193422_pname(X39),X40) = X39 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_786])])])]) ).

fof(c_0_1202,plain,
    ! [X39,X40] :
      ( ~ is_pname(X39)
      | hAPP_f1297739591_pname(cOMBK_948730864e_bool(X39),X40) = X39 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_787])])])]) ).

fof(c_0_1203,plain,
    ! [X39,X40] :
      ( ~ is_bool(X39)
      | hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X39),X40) = X39 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_788])])])]) ).

fof(c_0_1204,plain,
    ! [X39,X40] :
      ( ~ is_pname(X39)
      | hAPP_pname_pname(cOMBK_pname_pname(X39),X40) = X39 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_789])])])]) ).

fof(c_0_1205,plain,
    ! [X39,X40] :
      ( ~ is_bool(X39)
      | hAPP_pname_bool(cOMBK_bool_pname(X39),X40) = X39 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_790])])])]) ).

fof(c_0_1206,axiom,
    hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)),
    c_0_791 ).

fof(c_0_1207,axiom,
    hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,bot_bo535777328l_bool)),
    c_0_792 ).

fof(c_0_1208,axiom,
    hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,bot_bo1761158942l_bool)),
    c_0_793 ).

fof(c_0_1209,axiom,
    hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,bot_bo1537088220l_bool)),
    c_0_794 ).

fof(c_0_1210,axiom,
    hBOOL(hAPP_f971112728l_bool(finite364844667_state,bot_bo620288102e_bool)),
    c_0_795 ).

fof(c_0_1211,axiom,
    hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)),
    c_0_796 ).

fof(c_0_1212,plain,
    ! [X13,X14] : bot_bo620288102e_bool != insert1415133716_state(X13,X14),
    inference(variable_rename,[status(thm)],[c_0_797]) ).

fof(c_0_1213,plain,
    ! [X13,X14] : bot_bo844097828e_bool != insert_pname(X13,X14),
    inference(variable_rename,[status(thm)],[c_0_798]) ).

fof(c_0_1214,plain,
    ! [X13,X14] : insert1415133716_state(X13,X14) != bot_bo620288102e_bool,
    inference(variable_rename,[status(thm)],[c_0_799]) ).

fof(c_0_1215,plain,
    ! [X13,X14] : insert_pname(X13,X14) != bot_bo844097828e_bool,
    inference(variable_rename,[status(thm)],[c_0_800]) ).

fof(c_0_1216,plain,
    ! [X39,X40] : hAPP_H1049623551e_bool(cOMBK_1039769424_state(X39),X40) = X39,
    inference(variable_rename,[status(thm)],[c_0_801]) ).

fof(c_0_1217,plain,
    ! [X39,X40] : hAPP_f1387463497_state(cOMBK_701929478e_bool(X39),X40) = X39,
    inference(variable_rename,[status(thm)],[c_0_802]) ).

fof(c_0_1218,plain,
    ! [X39,X40] : hAPP_p442853985e_bool(cOMBK_1706929794_pname(X39),X40) = X39,
    inference(variable_rename,[status(thm)],[c_0_803]) ).

fof(c_0_1219,plain,
    ! [X39,X40] : hAPP_f888949707_state(cOMBK_1503445380e_bool(X39),X40) = X39,
    inference(variable_rename,[status(thm)],[c_0_804]) ).

fof(c_0_1220,plain,
    ! [X39,X40] : hAPP_p1422361149_state(cOMBK_367030522_pname(X39),X40) = X39,
    inference(variable_rename,[status(thm)],[c_0_805]) ).

fof(c_0_1221,plain,
    ! [X2] :
      ( ~ is_fun1661590463l_bool(X2)
      | is_fun1661590463l_bool(collec1974731493e_bool(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_806])]) ).

fof(c_0_1222,plain,
    ! [X2] :
      ( ~ is_fun_pname_bool(X2)
      | is_fun_pname_bool(collect_pname(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_807])]) ).

fof(c_0_1223,plain,
    ! [X2] :
      ( ~ is_bool(X2)
      | is_fun1661590463l_bool(cOMBK_1857069011e_bool(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_808])]) ).

fof(c_0_1224,plain,
    ! [X2] :
      ( ~ is_bool(X2)
      | is_fun_pname_bool(cOMBK_bool_pname(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_809])]) ).

fof(c_0_1225,plain,
    ! [X18] : image_2003357581_state(X18,bot_bo844097828e_bool) = bot_bo620288102e_bool,
    inference(variable_rename,[status(thm)],[c_0_810]) ).

fof(c_0_1226,plain,
    ! [X15] :
      ( ~ is_fun1661590463l_bool(X15)
      | collec1974731493e_bool(X15) = X15 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_811])]) ).

fof(c_0_1227,plain,
    ! [X15] :
      ( ~ is_fun_pname_bool(X15)
      | collect_pname(X15) = X15 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_812])]) ).

fof(c_0_1228,plain,
    ! [X2] : is_fun1661590463l_bool(dom_fu2081503504ol_com(X2)),
    inference(variable_rename,[status(thm)],[c_0_813]) ).

fof(c_0_1229,plain,
    ! [X2] : is_bool(wt(X2)),
    inference(variable_rename,[status(thm)],[c_0_814]) ).

fof(c_0_1230,plain,
    ! [X34] :
      ( ~ is_bool(X34)
      | X34 = fTrue
      | X34 = fFalse ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_815])]) ).

fof(c_0_1231,axiom,
    bot_bo844097828e_bool = collect_pname(cOMBK_bool_pname(fFalse)),
    c_0_816 ).

fof(c_0_1232,axiom,
    bot_bo620288102e_bool = collec307967673_state(cOMBK_659609255_state(fFalse)),
    c_0_817 ).

fof(c_0_1233,axiom,
    bot_bo1649642514l_bool = collec1974731493e_bool(cOMBK_1857069011e_bool(fFalse)),
    c_0_818 ).

fof(c_0_1234,axiom,
    bot_bo535777328l_bool = collec1823980261e_bool(cOMBK_129401207e_bool(fFalse)),
    c_0_819 ).

fof(c_0_1235,axiom,
    bot_bo1761158942l_bool = collec488126193l_bool(cOMBK_482404831l_bool(fFalse)),
    c_0_820 ).

fof(c_0_1236,axiom,
    is_pname(undefined_pname(pname)),
    c_0_821 ).

fof(c_0_1237,plain,
    ! [X15] : collec1823980261e_bool(X15) = X15,
    inference(variable_rename,[status(thm)],[c_0_822]) ).

fof(c_0_1238,plain,
    ! [X15] : collec307967673_state(X15) = X15,
    inference(variable_rename,[status(thm)],[c_0_823]) ).

fof(c_0_1239,plain,
    ~ hBOOL(fFalse),
    c_0_824 ).

fof(c_0_1240,axiom,
    is_bool(fTrue),
    c_0_825 ).

fof(c_0_1241,axiom,
    is_bool(fFalse),
    c_0_826 ).

fof(c_0_1242,axiom,
    is_fun1661590463l_bool(bot_bo1649642514l_bool),
    c_0_827 ).

fof(c_0_1243,axiom,
    is_fun_pname_bool(bot_bo844097828e_bool),
    c_0_828 ).

fof(c_0_1244,axiom,
    is_fun1661590463l_bool(finite_finite_pname),
    c_0_829 ).

cnf(c_0_1245,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2)),bot_bo620288102e_bool)))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2)),X1)),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X2))),bot_bo620288102e_bool))) ),
    inference(split_conjunct,[status(thm)],[c_0_830]) ).

cnf(c_0_1246,plain,
    ( hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,insert1556680138e_bool(esk31_3(X3,X2,X1),esk32_3(X3,X2,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_831]) ).

cnf(c_0_1247,plain,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,insert1325755072e_bool(esk29_3(X3,X2,X1),esk30_3(X3,X2,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_832]) ).

cnf(c_0_1248,plain,
    ( hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,insert1415133716_state(esk27_3(X3,X2,X1),esk28_3(X3,X2,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_833]) ).

cnf(c_0_1249,plain,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,insert_pname(esk25_3(X3,X2,X1),esk26_3(X3,X2,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_834]) ).

cnf(c_0_1250,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2),bot_bo620288102e_bool)))
    | ~ hBOOL(hoare_165779456gleton)
    | ~ hBOOL(wt(X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,esk23_2(X2,X1))),bot_bo620288102e_bool))) ),
    inference(split_conjunct,[status(thm)],[c_0_835]) ).

cnf(c_0_1251,plain,
    ( hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,esk31_3(X3,X2,X1)),esk32_3(X3,X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_831]) ).

cnf(c_0_1252,plain,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk29_3(X3,X2,X1)),esk30_3(X3,X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_832]) ).

cnf(c_0_1253,plain,
    ( hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk27_3(X3,X2,X1)),esk28_3(X3,X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_833]) ).

cnf(c_0_1254,plain,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk25_3(X3,X2,X1)),esk26_3(X3,X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_834]) ).

cnf(c_0_1255,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk36_3(X2,X3,X1)),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_836]) ).

cnf(c_0_1256,plain,
    ( hBOOL(hAPP_f166538662l_bool(X3,X1))
    | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,esk31_3(X3,X2,X1)),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_831]) ).

cnf(c_0_1257,plain,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk29_3(X3,X2,X1)),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_832]) ).

cnf(c_0_1258,plain,
    ( hBOOL(hAPP_f971112728l_bool(X3,X1))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk27_3(X3,X2,X1)),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_833]) ).

cnf(c_0_1259,plain,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk25_3(X3,X2,X1)),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_834]) ).

cnf(c_0_1260,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk24_3(X1,X2,X3)),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_837]) ).

cnf(c_0_1261,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk22_3(X1,X2,X3)),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_838]) ).

cnf(c_0_1262,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk21_3(X1,X2,X3)),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_839]) ).

cnf(c_0_1263,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X1),X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_840]) ).

cnf(c_0_1264,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X2)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X1),X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_840]) ).

cnf(c_0_1265,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1),X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_841]) ).

cnf(c_0_1266,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X2)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1),X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_841]) ).

cnf(c_0_1267,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X1),X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_842]) ).

cnf(c_0_1268,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X1),X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_842]) ).

cnf(c_0_1269,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1),X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_843]) ).

cnf(c_0_1270,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1),X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_843]) ).

cnf(c_0_1271,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk36_3(X2,X3,X1)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_836]) ).

cnf(c_0_1272,plain,
    ( hBOOL(hAPP_f166538662l_bool(X3,X1))
    | hBOOL(hAPP_f166538662l_bool(X3,esk32_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_831]) ).

cnf(c_0_1273,plain,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,esk30_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_832]) ).

cnf(c_0_1274,plain,
    ( hBOOL(hAPP_f971112728l_bool(X3,X1))
    | hBOOL(hAPP_f971112728l_bool(X3,esk28_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_833]) ).

cnf(c_0_1275,plain,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,esk26_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_834]) ).

cnf(c_0_1276,plain,
    ( hBOOL(hAPP_f166538662l_bool(X3,X1))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,esk32_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_831]) ).

cnf(c_0_1277,plain,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk30_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_832]) ).

cnf(c_0_1278,plain,
    ( hBOOL(hAPP_f971112728l_bool(X3,X1))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,esk28_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_833]) ).

cnf(c_0_1279,plain,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk26_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_834]) ).

cnf(c_0_1280,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X1),X2))))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X2)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_840]) ).

cnf(c_0_1281,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1),X2))))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X2)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_841]) ).

cnf(c_0_1282,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X1),X2))))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_842]) ).

cnf(c_0_1283,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1),X2))))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_843]) ).

cnf(c_0_1284,plain,
    insert1556680138e_bool(X1,collec1823980261e_bool(X2)) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fimplies,cOMBB_1522210668e_bool(fNot,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1))),X2)),
    inference(split_conjunct,[status(thm)],[c_0_844]) ).

cnf(c_0_1285,plain,
    insert1325755072e_bool(X1,collec1974731493e_bool(X2)) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1))),X2)),
    inference(split_conjunct,[status(thm)],[c_0_845]) ).

cnf(c_0_1286,plain,
    insert1415133716_state(X1,collec307967673_state(X2)) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1))),X2)),
    inference(split_conjunct,[status(thm)],[c_0_846]) ).

cnf(c_0_1287,plain,
    insert_pname(X1,collect_pname(X2)) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),X2)),
    inference(split_conjunct,[status(thm)],[c_0_847]) ).

cnf(c_0_1288,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1,X2)),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_848]) ).

cnf(c_0_1289,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X2)),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_849]) ).

cnf(c_0_1290,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_850]) ).

cnf(c_0_1291,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_850]) ).

cnf(c_0_1292,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_851]) ).

cnf(c_0_1293,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_851]) ).

cnf(c_0_1294,plain,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(cOMBS_1358309691l_bool(cOMBB_404111180l_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_852]) ).

cnf(c_0_1295,plain,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(cOMBS_1358309691l_bool(cOMBB_404111180l_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_852]) ).

cnf(c_0_1296,plain,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(cOMBS_811933079l_bool(cOMBB_689948150l_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_853]) ).

cnf(c_0_1297,plain,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(cOMBS_811933079l_bool(cOMBB_689948150l_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_853]) ).

cnf(c_0_1298,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_854]) ).

cnf(c_0_1299,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_854]) ).

cnf(c_0_1300,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_855]) ).

cnf(c_0_1301,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_855]) ).

cnf(c_0_1302,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2),bot_bo620288102e_bool)))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk23_2(X2,X1)),dom_pname_com(body)))
    | ~ hBOOL(hoare_165779456gleton)
    | ~ hBOOL(wt(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_835]) ).

cnf(c_0_1303,plain,
    ( X1 = image_2003357581_state(X2,esk36_3(X2,X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_836]) ).

cnf(c_0_1304,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk35_2(X2,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_856]) ).

cnf(c_0_1305,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk34_2(X2,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_857]) ).

cnf(c_0_1306,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1,X2)),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_848]) ).

cnf(c_0_1307,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1,X2)),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_848]) ).

cnf(c_0_1308,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X2)),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_849]) ).

cnf(c_0_1309,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X2)),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_849]) ).

cnf(c_0_1310,plain,
    ( is_fun_pname_bool(esk36_3(X2,X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_836]) ).

cnf(c_0_1311,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),insert1415133716_state(X1,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_858]) ).

cnf(c_0_1312,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),insert_pname(X1,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_859]) ).

cnf(c_0_1313,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,image_2003357581_state(X1,X2)),image_2003357581_state(X1,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_860]) ).

cnf(c_0_1314,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1,X2)),insert1415133716_state(X1,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_861]) ).

cnf(c_0_1315,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X2)),insert_pname(X1,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_862]) ).

cnf(c_0_1316,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_p1422361149_state(X1,X2)),image_2003357581_state(X1,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_863]) ).

cnf(c_0_1317,plain,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | is_fun_pname_bool(esk29_3(X3,X2,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_832]) ).

cnf(c_0_1318,plain,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | is_fun1661590463l_bool(esk30_3(X3,X2,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_832]) ).

cnf(c_0_1319,plain,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | is_pname(esk25_3(X3,X2,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_834]) ).

cnf(c_0_1320,plain,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | is_fun_pname_bool(esk26_3(X3,X2,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_834]) ).

cnf(c_0_1321,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),insert1415133716_state(X1,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_858]) ).

cnf(c_0_1322,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),insert_pname(X1,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_859]) ).

cnf(c_0_1323,plain,
    ( X1 = hAPP_p1422361149_state(X2,esk24_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_837]) ).

cnf(c_0_1324,plain,
    ( X1 = image_2003357581_state(X2,esk22_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_838]) ).

cnf(c_0_1325,plain,
    ( X1 = hAPP_p1422361149_state(X2,esk21_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_839]) ).

cnf(c_0_1326,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_864]) ).

cnf(c_0_1327,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_865]) ).

cnf(c_0_1328,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_866]) ).

cnf(c_0_1329,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_867]) ).

cnf(c_0_1330,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_868]) ).

cnf(c_0_1331,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_869]) ).

cnf(c_0_1332,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_870]) ).

cnf(c_0_1333,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_871]) ).

cnf(c_0_1334,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_872]) ).

cnf(c_0_1335,plain,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X3))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_873]) ).

cnf(c_0_1336,plain,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X3))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_874]) ).

cnf(c_0_1337,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_875]) ).

cnf(c_0_1338,plain,
    ( is_pname(esk24_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_837]) ).

cnf(c_0_1339,plain,
    ( is_fun_pname_bool(esk22_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_838]) ).

cnf(c_0_1340,plain,
    ( is_pname(esk21_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_839]) ).

cnf(c_0_1341,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,bot_bo620288102e_bool))) ),
    inference(split_conjunct,[status(thm)],[c_0_876]) ).

cnf(c_0_1342,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
    | X2 = X1
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_877]) ).

cnf(c_0_1343,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | X1 = X3
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X3,X2)))
    | ~ is_pname(X3)
    | ~ is_pname(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_878]) ).

cnf(c_0_1344,plain,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
    | X1 = X3
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),insert1325755072e_bool(X3,X2)))
    | ~ is_fun_pname_bool(X3)
    | ~ is_fun_pname_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_879]) ).

cnf(c_0_1345,plain,
    insert1556680138e_bool(X1,X2) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X2))),
    inference(split_conjunct,[status(thm)],[c_0_880]) ).

cnf(c_0_1346,plain,
    insert1325755072e_bool(X1,X2) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2))),
    inference(split_conjunct,[status(thm)],[c_0_881]) ).

cnf(c_0_1347,plain,
    insert1415133716_state(X1,X2) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2))),
    inference(split_conjunct,[status(thm)],[c_0_882]) ).

cnf(c_0_1348,plain,
    insert_pname(X1,X2) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))),
    inference(split_conjunct,[status(thm)],[c_0_883]) ).

cnf(c_0_1349,plain,
    insert1556680138e_bool(X1,X2) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X2))),
    inference(split_conjunct,[status(thm)],[c_0_884]) ).

cnf(c_0_1350,plain,
    insert1325755072e_bool(X1,X2) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2))),
    inference(split_conjunct,[status(thm)],[c_0_885]) ).

cnf(c_0_1351,plain,
    insert1415133716_state(X1,X2) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2))),
    inference(split_conjunct,[status(thm)],[c_0_886]) ).

cnf(c_0_1352,plain,
    insert_pname(X1,X2) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))),
    inference(split_conjunct,[status(thm)],[c_0_887]) ).

cnf(c_0_1353,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | X1 = X3
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X3,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_888]) ).

cnf(c_0_1354,plain,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
    | X1 = X3
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),insert1556680138e_bool(X3,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_889]) ).

cnf(c_0_1355,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | X1 = X3
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X3,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_890]) ).

cnf(c_0_1356,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
    | X1 != image_2003357581_state(X2,X4)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
    | ~ is_fun_pname_bool(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_838]) ).

cnf(c_0_1357,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
    | X1 != hAPP_p1422361149_state(X2,X4)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | ~ is_pname(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_839]) ).

cnf(c_0_1358,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
    | X1 != hAPP_p1422361149_state(X2,X4)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_891]) ).

cnf(c_0_1359,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | X1 != hAPP_p1422361149_state(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_892]) ).

cnf(c_0_1360,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_187965177_pname(X2,X3)))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X4),X3))
    | X1 != hAPP_f560369737_pname(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_893]) ).

cnf(c_0_1361,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_1283814551_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X4),X3))
    | X1 != hAPP_f1297739591_pname(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_894]) ).

cnf(c_0_1362,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_pname_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | X1 != hAPP_pname_pname(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_895]) ).

cnf(c_0_1363,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_54689091_pname(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X4),X3))
    | X1 != hAPP_H1621176307_pname(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_896]) ).

cnf(c_0_1364,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_18964633_state(X2,X3)))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X4),X3))
    | X1 != hAPP_f1387463497_state(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_897]) ).

cnf(c_0_1365,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_516545147_state(X2,X3)))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X4),X3))
    | X1 != hAPP_f888949707_state(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_898]) ).

cnf(c_0_1366,plain,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),image_70449425e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | X1 != hAPP_p442853985e_bool(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_899]) ).

cnf(c_0_1367,plain,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),image_47868345e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | X1 != hAPP_p61793385e_bool(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_900]) ).

cnf(c_0_1368,plain,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),image_1828608335e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X4),X3))
    | X1 != hAPP_H1049623551e_bool(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_901]) ).

cnf(c_0_1369,plain,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),image_2131964411e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X4),X3))
    | X1 != hAPP_H356885323e_bool(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_902]) ).

cnf(c_0_1370,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),image_2131964411e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_903]) ).

cnf(c_0_1371,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),image_1828608335e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_904]) ).

cnf(c_0_1372,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_54689091_pname(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_905]) ).

cnf(c_0_1373,plain,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1))
    | ~ hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X1),image_1761575943l_bool(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_906]) ).

cnf(c_0_1374,plain,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1))
    | ~ hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X1),image_1210605179l_bool(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_907]) ).

cnf(c_0_1375,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),image_47868345e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_908]) ).

cnf(c_0_1376,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),image_70449425e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_909]) ).

cnf(c_0_1377,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_pname_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_910]) ).

cnf(c_0_1378,plain,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1))
    | ~ hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X1),image_288317893l_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_911]) ).

cnf(c_0_1379,plain,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1))
    | ~ hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X1),image_1642285373l_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_912]) ).

cnf(c_0_1380,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_516545147_state(X2,X3)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_913]) ).

cnf(c_0_1381,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_18964633_state(X2,X3)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_914]) ).

cnf(c_0_1382,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_892968839_state(X2,X3)))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_915]) ).

cnf(c_0_1383,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_677922117_state(X2,X3)))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_916]) ).

cnf(c_0_1384,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1283814551_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_917]) ).

cnf(c_0_1385,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_187965177_pname(X2,X3)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_918]) ).

cnf(c_0_1386,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1619336331_pname(X2,X3)))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_919]) ).

cnf(c_0_1387,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1705983821_pname(X2,X3)))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_920]) ).

cnf(c_0_1388,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_921]) ).

cnf(c_0_1389,plain,
    ( collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),X2)) = insert1556680138e_bool(X1,bot_bo535777328l_bool)
    | ~ hBOOL(hAPP_f971112728l_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_922]) ).

cnf(c_0_1390,plain,
    ( collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),X2)) = insert1325755072e_bool(X1,bot_bo1649642514l_bool)
    | ~ hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_923]) ).

cnf(c_0_1391,plain,
    ( collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),X2)) = insert1415133716_state(X1,bot_bo620288102e_bool)
    | ~ hBOOL(hAPP_H78829294e_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_924]) ).

cnf(c_0_1392,plain,
    ( collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),X2)) = insert_pname(X1,bot_bo844097828e_bool)
    | ~ hBOOL(hAPP_pname_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_925]) ).

cnf(c_0_1393,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,X3)))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_877]) ).

cnf(c_0_1394,plain,
    ( X2 = X1
    | ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_926]) ).

cnf(c_0_1395,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ is_fun_pname_bool(X2)
    | ~ is_fun_pname_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_927]) ).

cnf(c_0_1396,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ is_fun1661590463l_bool(X2)
    | ~ is_fun1661590463l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_928]) ).

cnf(c_0_1397,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk35_2(X2,X1)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_856]) ).

cnf(c_0_1398,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk34_2(X2,X1)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_857]) ).

cnf(c_0_1399,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),insert1415133716_state(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_929]) ).

cnf(c_0_1400,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_930]) ).

cnf(c_0_1401,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_888]) ).

cnf(c_0_1402,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_931]) ).

cnf(c_0_1403,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_932]) ).

cnf(c_0_1404,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_933]) ).

cnf(c_0_1405,plain,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),insert1556680138e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_934]) ).

cnf(c_0_1406,plain,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),insert1325755072e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_935]) ).

cnf(c_0_1407,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_936]) ).

cnf(c_0_1408,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_937]) ).

cnf(c_0_1409,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X2),X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_938]) ).

cnf(c_0_1410,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_939]) ).

cnf(c_0_1411,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,bot_bo620288102e_bool)))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_940]) ).

cnf(c_0_1412,plain,
    ( collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),X2)) = bot_bo535777328l_bool
    | hBOOL(hAPP_f971112728l_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_922]) ).

cnf(c_0_1413,plain,
    ( collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),X2)) = bot_bo1649642514l_bool
    | hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_923]) ).

cnf(c_0_1414,plain,
    ( collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),X2)) = bot_bo620288102e_bool
    | hBOOL(hAPP_H78829294e_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_924]) ).

cnf(c_0_1415,plain,
    ( collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),X2)) = bot_bo844097828e_bool
    | hBOOL(hAPP_pname_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_925]) ).

cnf(c_0_1416,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2),bot_bo620288102e_bool)))
    | is_pname(esk23_2(X2,X1))
    | ~ hBOOL(hoare_165779456gleton)
    | ~ hBOOL(wt(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_835]) ).

cnf(c_0_1417,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_941]) ).

cnf(c_0_1418,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_942]) ).

cnf(c_0_1419,plain,
    ( collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X1)),X2)) = insert1556680138e_bool(X1,bot_bo535777328l_bool)
    | ~ hBOOL(hAPP_f971112728l_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_943]) ).

cnf(c_0_1420,plain,
    ( collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),X2)) = insert1325755072e_bool(X1,bot_bo1649642514l_bool)
    | ~ hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_944]) ).

cnf(c_0_1421,plain,
    ( collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X1)),X2)) = insert1415133716_state(X1,bot_bo620288102e_bool)
    | ~ hBOOL(hAPP_H78829294e_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_945]) ).

cnf(c_0_1422,plain,
    ( collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1)),X2)) = insert_pname(X1,bot_bo844097828e_bool)
    | ~ hBOOL(hAPP_pname_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_946]) ).

cnf(c_0_1423,plain,
    ( X1 = insert_pname(X2,bot_bo844097828e_bool)
    | X1 = bot_bo844097828e_bool
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X2,bot_bo844097828e_bool)))
    | ~ is_fun_pname_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_947]) ).

cnf(c_0_1424,plain,
    ( X1 = insert1325755072e_bool(X2,bot_bo1649642514l_bool)
    | X1 = bot_bo1649642514l_bool
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),insert1325755072e_bool(X2,bot_bo1649642514l_bool)))
    | ~ is_fun1661590463l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_948]) ).

cnf(c_0_1425,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
    | X1 = X2
    | ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | insert_pname(X3,X1) != insert_pname(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_949]) ).

cnf(c_0_1426,plain,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),X1))))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_950]) ).

cnf(c_0_1427,plain,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(ord_le287025148l_bool),X1))))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_951]) ).

cnf(c_0_1428,plain,
    ( hBOOL(hAPP_f1022807134l_bool(finite34021339l_bool,collec256567069l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(ord_le889598034l_bool),X1))))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_952]) ).

cnf(c_0_1429,plain,
    ( hBOOL(hAPP_f595608956l_bool(finite1491191519l_bool,collec792590109l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(ord_le1375671464l_bool),X1))))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_953]) ).

cnf(c_0_1430,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(ord_le1285840794e_bool),X1))))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_954]) ).

cnf(c_0_1431,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),X1))))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_955]) ).

cnf(c_0_1432,plain,
    ( X2 = X1
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,bot_bo844097828e_bool))) ),
    inference(split_conjunct,[status(thm)],[c_0_956]) ).

cnf(c_0_1433,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,bot_bo844097828e_bool)))
    | ~ is_pname(X2)
    | ~ is_pname(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_957]) ).

cnf(c_0_1434,plain,
    ( X1 = insert1556680138e_bool(X2,bot_bo535777328l_bool)
    | X1 = bot_bo535777328l_bool
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),insert1556680138e_bool(X2,bot_bo535777328l_bool))) ),
    inference(split_conjunct,[status(thm)],[c_0_958]) ).

cnf(c_0_1435,plain,
    ( X1 = insert1415133716_state(X2,bot_bo620288102e_bool)
    | X1 = bot_bo620288102e_bool
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),insert1415133716_state(X2,bot_bo620288102e_bool))) ),
    inference(split_conjunct,[status(thm)],[c_0_959]) ).

cnf(c_0_1436,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1),bot_bo620288102e_bool)))
    | ~ hBOOL(wt(X1))
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(hoare_165779456gleton) ),
    inference(split_conjunct,[status(thm)],[c_0_960]) ).

cnf(c_0_1437,plain,
    ( insert1415133716_state(hAPP_p1422361149_state(X1,X2),image_2003357581_state(X1,X3)) = image_2003357581_state(X1,X3)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_961]) ).

cnf(c_0_1438,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | X2 = X3
    | insert1415133716_state(X1,X2) != insert1415133716_state(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_962]) ).

cnf(c_0_1439,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
    | insert_pname(X3,X1) = insert_pname(X3,X2)
    | ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_949]) ).

cnf(c_0_1440,plain,
    ( collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X1)),X2)) = bot_bo535777328l_bool
    | hBOOL(hAPP_f971112728l_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_943]) ).

cnf(c_0_1441,plain,
    ( collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),X2)) = bot_bo1649642514l_bool
    | hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_944]) ).

cnf(c_0_1442,plain,
    ( collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X1)),X2)) = bot_bo620288102e_bool
    | hBOOL(hAPP_H78829294e_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_945]) ).

cnf(c_0_1443,plain,
    ( collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1)),X2)) = bot_bo844097828e_bool
    | hBOOL(hAPP_pname_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_946]) ).

cnf(c_0_1444,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,bot_bo620288102e_bool))) ),
    inference(split_conjunct,[status(thm)],[c_0_963]) ).

cnf(c_0_1445,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,bot_bo620288102e_bool))) ),
    inference(split_conjunct,[status(thm)],[c_0_964]) ).

cnf(c_0_1446,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_940]) ).

cnf(c_0_1447,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_965]) ).

cnf(c_0_1448,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_966]) ).

cnf(c_0_1449,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_967]) ).

cnf(c_0_1450,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_968]) ).

cnf(c_0_1451,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_969]) ).

cnf(c_0_1452,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_970]) ).

cnf(c_0_1453,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_971]) ).

cnf(c_0_1454,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_972]) ).

cnf(c_0_1455,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | insert1415133716_state(X1,X2) = insert1415133716_state(X1,X3)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_962]) ).

cnf(c_0_1456,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_973]) ).

cnf(c_0_1457,plain,
    ( hBOOL(hAPP_pname_bool(X3,X1))
    | X2 = X1
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_pname_bool(insert_pname(X2,X3),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_974]) ).

cnf(c_0_1458,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_975]) ).

cnf(c_0_1459,plain,
    ( hBOOL(hAPP_H78829294e_bool(X1,X2))
    | X3 = X2
    | ~ hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X3,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_976]) ).

cnf(c_0_1460,plain,
    ( image_187965177_pname(cOMBK_1589414042e_bool(X1),X2) = insert_pname(X1,bot_bo844097828e_bool)
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_977]) ).

cnf(c_0_1461,plain,
    ( image_1283814551_pname(cOMBK_948730864e_bool(X1),X2) = insert_pname(X1,bot_bo844097828e_bool)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_978]) ).

cnf(c_0_1462,plain,
    ( image_18964633_state(cOMBK_701929478e_bool(X1),X2) = insert1415133716_state(X1,bot_bo620288102e_bool)
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_979]) ).

cnf(c_0_1463,plain,
    ( image_516545147_state(cOMBK_1503445380e_bool(X1),X2) = insert1415133716_state(X1,bot_bo620288102e_bool)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_980]) ).

cnf(c_0_1464,plain,
    ( image_pname_pname(cOMBK_pname_pname(X1),X2) = insert_pname(X1,bot_bo844097828e_bool)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_981]) ).

cnf(c_0_1465,plain,
    ( image_70449425e_bool(cOMBK_1706929794_pname(X1),X2) = insert1556680138e_bool(X1,bot_bo535777328l_bool)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_982]) ).

cnf(c_0_1466,plain,
    ( image_47868345e_bool(cOMBK_37193422_pname(X1),X2) = insert1325755072e_bool(X1,bot_bo1649642514l_bool)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_983]) ).

cnf(c_0_1467,plain,
    ( image_1828608335e_bool(cOMBK_1039769424_state(X1),X2) = insert1556680138e_bool(X1,bot_bo535777328l_bool)
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_984]) ).

cnf(c_0_1468,plain,
    ( image_2131964411e_bool(cOMBK_2035509764_state(X1),X2) = insert1325755072e_bool(X1,bot_bo1649642514l_bool)
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_985]) ).

cnf(c_0_1469,plain,
    ( image_54689091_pname(cOMBK_168215364_state(X1),X2) = insert_pname(X1,bot_bo844097828e_bool)
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_986]) ).

cnf(c_0_1470,plain,
    ( image_2003357581_state(cOMBK_367030522_pname(X1),X2) = insert1415133716_state(X1,bot_bo620288102e_bool)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_987]) ).

cnf(c_0_1471,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_988]) ).

cnf(c_0_1472,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_989]) ).

cnf(c_0_1473,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_990]) ).

cnf(c_0_1474,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_991]) ).

cnf(c_0_1475,plain,
    ( hBOOL(hAPP_H78829294e_bool(X1,X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_992]) ).

cnf(c_0_1476,plain,
    ( hBOOL(hAPP_pname_bool(X1,X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_993]) ).

cnf(c_0_1477,plain,
    ( X4 = X2
    | X4 = X1
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_994]) ).

cnf(c_0_1478,plain,
    ( X4 = X2
    | X3 = X2
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_994]) ).

cnf(c_0_1479,plain,
    ( X3 = X1
    | X4 = X1
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_994]) ).

cnf(c_0_1480,plain,
    ( X3 = X1
    | X3 = X2
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_994]) ).

cnf(c_0_1481,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,X3)))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_877]) ).

cnf(c_0_1482,plain,
    ( hBOOL(hAPP_pname_bool(insert_pname(X2,X3),X1))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_pname_bool(X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_974]) ).

cnf(c_0_1483,plain,
    ( insert_pname(X1,X2) = X2
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ is_fun_pname_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_995]) ).

cnf(c_0_1484,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,bot_bo844097828e_bool)))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_956]) ).

cnf(c_0_1485,plain,
    ( ~ is_fun_pname_bool(X1)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
    | ~ is_pname(X2)
    | X1 != bot_bo844097828e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_996]) ).

cnf(c_0_1486,plain,
    ( ~ is_fun1661590463l_bool(X1)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X1))
    | ~ is_fun_pname_bool(X2)
    | X1 != bot_bo1649642514l_bool ),
    inference(split_conjunct,[status(thm)],[c_0_997]) ).

cnf(c_0_1487,plain,
    ( ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
    | ~ is_pname(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_998]) ).

cnf(c_0_1488,plain,
    ( ~ is_fun1661590463l_bool(X1)
    | X1 != bot_bo1649642514l_bool
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X1))
    | ~ is_fun_pname_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_999]) ).

cnf(c_0_1489,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))
    | ~ is_fun_pname_bool(X2)
    | ~ is_fun_pname_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1000]) ).

cnf(c_0_1490,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))
    | ~ is_pname(X2)
    | ~ is_pname(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1001]) ).

cnf(c_0_1491,plain,
    is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))),
    inference(split_conjunct,[status(thm)],[c_0_1002]) ).

cnf(c_0_1492,plain,
    ( insert1415133716_state(X1,X2) = X2
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1003]) ).

cnf(c_0_1493,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3)))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_888]) ).

cnf(c_0_1494,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,X3)))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_933]) ).

cnf(c_0_1495,plain,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),insert1556680138e_bool(X2,X3)))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_934]) ).

cnf(c_0_1496,plain,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),insert1325755072e_bool(X2,X3)))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_935]) ).

cnf(c_0_1497,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3)))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_936]) ).

cnf(c_0_1498,plain,
    ( hBOOL(X1)
    | ~ hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1004]) ).

cnf(c_0_1499,plain,
    ( hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X1,X2),X3))
    | ~ hBOOL(hAPP_H78829294e_bool(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_976]) ).

cnf(c_0_1500,plain,
    ( hBOOL(X1)
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1005]) ).

cnf(c_0_1501,plain,
    hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),insert1415133716_state(X2,X1))),
    inference(split_conjunct,[status(thm)],[c_0_1006]) ).

cnf(c_0_1502,plain,
    hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X2,X1))),
    inference(split_conjunct,[status(thm)],[c_0_1007]) ).

cnf(c_0_1503,plain,
    hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X1,X2))),
    inference(split_conjunct,[status(thm)],[c_0_1008]) ).

cnf(c_0_1504,plain,
    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X1,X2))),
    inference(split_conjunct,[status(thm)],[c_0_1009]) ).

cnf(c_0_1505,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,bot_bo620288102e_bool)))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_963]) ).

cnf(c_0_1506,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1010]) ).

cnf(c_0_1507,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1011]) ).

cnf(c_0_1508,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_H78829294e_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_992]) ).

cnf(c_0_1509,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_pname_bool(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_993]) ).

cnf(c_0_1510,plain,
    ( X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1012]) ).

cnf(c_0_1511,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_988]) ).

cnf(c_0_1512,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_989]) ).

cnf(c_0_1513,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_990]) ).

cnf(c_0_1514,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_991]) ).

cnf(c_0_1515,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1013]) ).

cnf(c_0_1516,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1014]) ).

cnf(c_0_1517,plain,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,insert203537868l_bool(X1,X2)))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1015]) ).

cnf(c_0_1518,plain,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,insert1117693814l_bool(X1,X2)))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1016]) ).

cnf(c_0_1519,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1017]) ).

cnf(c_0_1520,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1018]) ).

cnf(c_0_1521,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1019]) ).

cnf(c_0_1522,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_54689091_pname(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1020]) ).

cnf(c_0_1523,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_2131964411e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1021]) ).

cnf(c_0_1524,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_1828608335e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1022]) ).

cnf(c_0_1525,plain,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_1761575943l_bool(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1023]) ).

cnf(c_0_1526,plain,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1210605179l_bool(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1024]) ).

cnf(c_0_1527,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1025]) ).

cnf(c_0_1528,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_70449425e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1026]) ).

cnf(c_0_1529,plain,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_288317893l_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1027]) ).

cnf(c_0_1530,plain,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1642285373l_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1028]) ).

cnf(c_0_1531,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_516545147_state(X1,X2)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1029]) ).

cnf(c_0_1532,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_18964633_state(X1,X2)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1030]) ).

cnf(c_0_1533,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_892968839_state(X1,X2)))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1031]) ).

cnf(c_0_1534,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_677922117_state(X1,X2)))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1032]) ).

cnf(c_0_1535,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X1,X2)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1033]) ).

cnf(c_0_1536,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_187965177_pname(X1,X2)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1034]) ).

cnf(c_0_1537,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1619336331_pname(X1,X2)))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1035]) ).

cnf(c_0_1538,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1705983821_pname(X1,X2)))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1036]) ).

cnf(c_0_1539,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_2003357581_state(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1037]) ).

cnf(c_0_1540,plain,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | X2 != bot_bo620288102e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1038]) ).

cnf(c_0_1541,plain,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
    | X2 != bot_bo535777328l_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1039]) ).

cnf(c_0_1542,plain,
    ( X1 != bot_bo620288102e_bool
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1040]) ).

cnf(c_0_1543,plain,
    ( X1 != bot_bo535777328l_bool
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1041]) ).

cnf(c_0_1544,plain,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | X2 != bot_bo844097828e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1042]) ).

cnf(c_0_1545,plain,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | X2 != bot_bo620288102e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1043]) ).

cnf(c_0_1546,plain,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
    | X2 != bot_bo535777328l_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1044]) ).

cnf(c_0_1547,plain,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
    | X2 != bot_bo1649642514l_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1045]) ).

cnf(c_0_1548,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1046]) ).

cnf(c_0_1549,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1047]) ).

cnf(c_0_1550,plain,
    ( X1 = X3
    | X1 = X4
    | insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1048]) ).

cnf(c_0_1551,plain,
    ( X1 = X3
    | X2 = X3
    | insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1048]) ).

cnf(c_0_1552,plain,
    ( X2 = X4
    | X1 = X4
    | insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1048]) ).

cnf(c_0_1553,plain,
    ( X2 = X4
    | X2 = X3
    | insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1048]) ).

cnf(c_0_1554,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),dom_pname_com(X2)))
    | hAPP_p799580910on_com(X2,X1) != some_com(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1049]) ).

cnf(c_0_1555,plain,
    ( X1 = bot_bo620288102e_bool
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),bot_bo620288102e_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1050]) ).

cnf(c_0_1556,plain,
    ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)),
    inference(split_conjunct,[status(thm)],[c_0_1051]) ).

cnf(c_0_1557,plain,
    ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),bot_bo620288102e_bool)),
    inference(split_conjunct,[status(thm)],[c_0_1052]) ).

cnf(c_0_1558,plain,
    ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),bot_bo535777328l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_1053]) ).

cnf(c_0_1559,plain,
    ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),bot_bo1649642514l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_1054]) ).

cnf(c_0_1560,plain,
    ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)),
    inference(split_conjunct,[status(thm)],[c_0_1055]) ).

cnf(c_0_1561,plain,
    ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),bot_bo535777328l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_1056]) ).

cnf(c_0_1562,plain,
    ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),bot_bo1649642514l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_1057]) ).

cnf(c_0_1563,plain,
    ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),bot_bo620288102e_bool)),
    inference(split_conjunct,[status(thm)],[c_0_1058]) ).

cnf(c_0_1564,plain,
    ( hAPP_p799580910on_com(body,X1) = some_com(esk33_1(X1))
    | ~ hBOOL(wt(hAPP_pname_com(body_1,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1059]) ).

cnf(c_0_1565,plain,
    ( insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) = insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | X3 != X1
    | X4 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_994]) ).

cnf(c_0_1566,plain,
    ( insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) = insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | X3 != X2
    | X4 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_994]) ).

cnf(c_0_1567,plain,
    ( X1 = bot_bo844097828e_bool
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk20_1(X1)),X1))
    | ~ is_fun_pname_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_996]) ).

cnf(c_0_1568,plain,
    ( X1 = bot_bo1649642514l_bool
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk17_1(X1)),X1))
    | ~ is_fun1661590463l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_997]) ).

cnf(c_0_1569,plain,
    ( X1 = bot_bo844097828e_bool
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk16_1(X1)),X1))
    | ~ is_fun_pname_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_998]) ).

cnf(c_0_1570,plain,
    ( X1 = bot_bo1649642514l_bool
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk13_1(X1)),X1))
    | ~ is_fun1661590463l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_999]) ).

cnf(c_0_1571,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | is_pname(esk34_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_857]) ).

cnf(c_0_1572,plain,
    hAPP_f166538662l_bool(cOMBS_1358309691l_bool(X1,X2),X3) = hAPP_bool_bool(hAPP_f2143399574l_bool(X1,X3),hAPP_f166538662l_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1060]) ).

cnf(c_0_1573,plain,
    hAPP_f971112728l_bool(cOMBS_2066081387l_bool(X1,X2),X3) = hAPP_bool_bool(hAPP_f637090980l_bool(X1,X3),hAPP_f971112728l_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1061]) ).

cnf(c_0_1574,plain,
    hAPP_f1935102916l_bool(cOMBS_811933079l_bool(X1,X2),X3) = hAPP_bool_bool(hAPP_f32027384l_bool(X1,X3),hAPP_f1935102916l_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1062]) ).

cnf(c_0_1575,plain,
    hAPP_H78829294e_bool(cOMBS_458705923l_bool(X1,X2),X3) = hAPP_bool_bool(hAPP_H1187982158l_bool(X1,X3),hAPP_H78829294e_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1063]) ).

cnf(c_0_1576,plain,
    hAPP_f1664156314l_bool(cOMBS_350070575l_bool(X1,X2),X3) = hAPP_bool_bool(hAPP_f1476298914l_bool(X1,X3),hAPP_f1664156314l_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1064]) ).

cnf(c_0_1577,plain,
    hAPP_pname_bool(cOMBS_568398431l_bool(X1,X2),X3) = hAPP_bool_bool(hAPP_p393069232l_bool(X1,X3),hAPP_pname_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1065]) ).

cnf(c_0_1578,plain,
    image_2003357581_state(X1,insert_pname(X2,X3)) = insert1415133716_state(hAPP_p1422361149_state(X1,X2),image_2003357581_state(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1066]) ).

cnf(c_0_1579,plain,
    ( X1 = bot_bo620288102e_bool
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk19_1(X1)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1038]) ).

cnf(c_0_1580,plain,
    ( X1 = bot_bo535777328l_bool
    | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,esk18_1(X1)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1039]) ).

cnf(c_0_1581,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk15_1(X1)),X1))
    | X1 = bot_bo620288102e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1040]) ).

cnf(c_0_1582,plain,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,esk14_1(X1)),X1))
    | X1 = bot_bo535777328l_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1041]) ).

cnf(c_0_1583,plain,
    ( hBOOL(hAPP_pname_bool(insert_pname(X2,X3),X1))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_974]) ).

cnf(c_0_1584,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
    | ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_926]) ).

cnf(c_0_1585,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_926]) ).

cnf(c_0_1586,plain,
    hAPP_f468958928l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(X1),X2),X3) = hAPP_f468958928l_bool(hAPP_f667366769l_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_1067]) ).

cnf(c_0_1587,plain,
    hAPP_f166538662l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(X1),X2),X3) = hAPP_f166538662l_bool(hAPP_f585161855l_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_1068]) ).

cnf(c_0_1588,plain,
    hAPP_f971112728l_bool(hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(X1),X2),X3) = hAPP_f166538662l_bool(hAPP_f210337421l_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_1069]) ).

cnf(c_0_1589,plain,
    hAPP_f389811538l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(X1),X2),X3) = hAPP_f389811538l_bool(hAPP_f1759205631l_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_1070]) ).

cnf(c_0_1590,plain,
    hAPP_f971112728l_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(X1),X2),X3) = hAPP_f971112728l_bool(hAPP_f72706945l_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_1071]) ).

cnf(c_0_1591,plain,
    hAPP_H78829294e_bool(hAPP_f98417237e_bool(cOMBC_1734175330l_bool(X1),X2),X3) = hAPP_f971112728l_bool(hAPP_H30606679l_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_1072]) ).

cnf(c_0_1592,plain,
    hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(X1),X2),X3) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_1073]) ).

cnf(c_0_1593,plain,
    hAPP_H78829294e_bool(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(X1),X2),X3) = hAPP_H78829294e_bool(hAPP_H1049623551e_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_1074]) ).

cnf(c_0_1594,plain,
    hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(X1),X2),X3) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_1075]) ).

cnf(c_0_1595,plain,
    hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(X1),X2),X3) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_1076]) ).

cnf(c_0_1596,plain,
    hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(X1),X2),X3) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_1077]) ).

cnf(c_0_1597,plain,
    hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(X1),X2),X3) = hAPP_pname_bool(hAPP_p61793385e_bool(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_1078]) ).

cnf(c_0_1598,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))
    | ~ hBOOL(X2)
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1079]) ).

cnf(c_0_1599,plain,
    ( hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X1,X2),X3))
    | X1 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_976]) ).

cnf(c_0_1600,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2))
    | ~ hBOOL(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1080]) ).

cnf(c_0_1601,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2))
    | ~ hBOOL(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1081]) ).

cnf(c_0_1602,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2))
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1082]) ).

cnf(c_0_1603,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1012]) ).

cnf(c_0_1604,plain,
    ( insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) = insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool))
    | X2 != X4
    | X1 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1048]) ).

cnf(c_0_1605,plain,
    ( insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) = insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool))
    | X2 != X3
    | X1 != X4 ),
    inference(split_conjunct,[status(thm)],[c_0_1048]) ).

cnf(c_0_1606,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2))
    | hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1083]) ).

cnf(c_0_1607,plain,
    hAPP_f2143399574l_bool(cOMBB_404111180l_bool(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f166538662l_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1084]) ).

cnf(c_0_1608,plain,
    hAPP_f637090980l_bool(cOMBB_1585081418e_bool(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f971112728l_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1085]) ).

cnf(c_0_1609,plain,
    hAPP_f32027384l_bool(cOMBB_689948150l_bool(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f1935102916l_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1086]) ).

cnf(c_0_1610,plain,
    hAPP_H1187982158l_bool(cOMBB_962198420_state(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_H78829294e_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1087]) ).

cnf(c_0_1611,plain,
    hAPP_f971112728l_bool(cOMBB_1522210668e_bool(X1,X2),X3) = hAPP_bool_bool(X1,hAPP_f971112728l_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1088]) ).

cnf(c_0_1612,plain,
    hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f1664156314l_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1089]) ).

cnf(c_0_1613,plain,
    hAPP_H78829294e_bool(cOMBB_2144135922_state(X1,X2),X3) = hAPP_bool_bool(X1,hAPP_H78829294e_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1090]) ).

cnf(c_0_1614,plain,
    hAPP_p1422361149_state(cOMBB_699532858_pname(X1,X2),X3) = hAPP_c1126217667_state(X1,hAPP_pname_com(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1091]) ).

cnf(c_0_1615,plain,
    hAPP_p393069232l_bool(cOMBB_675860798_pname(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_pname_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1092]) ).

cnf(c_0_1616,plain,
    hAPP_f1664156314l_bool(cOMBB_307249310e_bool(X1,X2),X3) = hAPP_bool_bool(X1,hAPP_f1664156314l_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1093]) ).

cnf(c_0_1617,plain,
    hAPP_pname_com(cOMBB_923936821_pname(X1,X2),X3) = hAPP_option_com_com(X1,hAPP_p799580910on_com(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1094]) ).

cnf(c_0_1618,plain,
    hAPP_pname_bool(cOMBB_647938656_pname(X1,X2),X3) = hAPP_bool_bool(X1,hAPP_pname_bool(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1095]) ).

cnf(c_0_1619,plain,
    insert1415133716_state(X1,insert1415133716_state(X2,X3)) = insert1415133716_state(X2,insert1415133716_state(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1096]) ).

cnf(c_0_1620,plain,
    insert_pname(X1,insert_pname(X2,X3)) = insert_pname(X2,insert_pname(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1097]) ).

cnf(c_0_1621,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1098]) ).

cnf(c_0_1622,plain,
    ( hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1099]) ).

cnf(c_0_1623,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1100]) ).

cnf(c_0_1624,plain,
    ( hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1101]) ).

cnf(c_0_1625,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_937]) ).

cnf(c_0_1626,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_937]) ).

cnf(c_0_1627,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1102]) ).

cnf(c_0_1628,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1103]) ).

cnf(c_0_1629,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1104]) ).

cnf(c_0_1630,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1105]) ).

cnf(c_0_1631,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1106]) ).

cnf(c_0_1632,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1106]) ).

cnf(c_0_1633,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1107]) ).

cnf(c_0_1634,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1107]) ).

cnf(c_0_1635,plain,
    hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X1)),
    inference(split_conjunct,[status(thm)],[c_0_1108]) ).

cnf(c_0_1636,plain,
    hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)),
    inference(split_conjunct,[status(thm)],[c_0_1109]) ).

cnf(c_0_1637,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),bot_bo620288102e_bool))
    | X1 != bot_bo620288102e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1050]) ).

cnf(c_0_1638,plain,
    hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X1)),
    inference(split_conjunct,[status(thm)],[c_0_1110]) ).

cnf(c_0_1639,plain,
    hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,bot_bo535777328l_bool),X1)),
    inference(split_conjunct,[status(thm)],[c_0_1111]) ).

cnf(c_0_1640,plain,
    hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,bot_bo1649642514l_bool),X1)),
    inference(split_conjunct,[status(thm)],[c_0_1112]) ).

cnf(c_0_1641,plain,
    hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,bot_bo620288102e_bool),X1)),
    inference(split_conjunct,[status(thm)],[c_0_1113]) ).

cnf(c_0_1642,plain,
    ( ~ hBOOL(hAPP_pname_bool(X1,X2))
    | ~ is_pname(X2)
    | bot_bo844097828e_bool != collect_pname(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1114]) ).

cnf(c_0_1643,plain,
    ( ~ hBOOL(hAPP_f1664156314l_bool(X1,X2))
    | ~ is_fun_pname_bool(X2)
    | bot_bo1649642514l_bool != collec1974731493e_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1115]) ).

cnf(c_0_1644,plain,
    ( ~ hBOOL(hAPP_f1935102916l_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2)
    | bot_bo1537088220l_bool != collec1613912337l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1116]) ).

cnf(c_0_1645,plain,
    ( ~ hBOOL(hAPP_pname_bool(X1,X2))
    | ~ is_pname(X2)
    | collect_pname(X1) != bot_bo844097828e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1117]) ).

cnf(c_0_1646,plain,
    ( ~ hBOOL(hAPP_f1664156314l_bool(X1,X2))
    | ~ is_fun_pname_bool(X2)
    | collec1974731493e_bool(X1) != bot_bo1649642514l_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1118]) ).

cnf(c_0_1647,plain,
    ( ~ hBOOL(hAPP_f1935102916l_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2)
    | collec1613912337l_bool(X1) != bot_bo1537088220l_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1119]) ).

cnf(c_0_1648,plain,
    ( X2 = X1
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | hAPP_pname_com(body_1,X2) != hAPP_pname_com(body_1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1120]) ).

cnf(c_0_1649,plain,
    ( X1 = X2
    | insert_pname(X1,bot_bo844097828e_bool) != insert_pname(X2,bot_bo844097828e_bool)
    | ~ is_pname(X2)
    | ~ is_pname(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1121]) ).

cnf(c_0_1650,plain,
    ( ~ hBOOL(hAPP_H78829294e_bool(X1,X2))
    | bot_bo620288102e_bool != collec307967673_state(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1122]) ).

cnf(c_0_1651,plain,
    ( ~ hBOOL(hAPP_f971112728l_bool(X1,X2))
    | bot_bo535777328l_bool != collec1823980261e_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1123]) ).

cnf(c_0_1652,plain,
    ( ~ hBOOL(hAPP_f166538662l_bool(X1,X2))
    | bot_bo1761158942l_bool != collec488126193l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1124]) ).

cnf(c_0_1653,plain,
    ( ~ hBOOL(hAPP_H78829294e_bool(X1,X2))
    | collec307967673_state(X1) != bot_bo620288102e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1125]) ).

cnf(c_0_1654,plain,
    ( ~ hBOOL(hAPP_f971112728l_bool(X1,X2))
    | collec1823980261e_bool(X1) != bot_bo535777328l_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1126]) ).

cnf(c_0_1655,plain,
    ( ~ hBOOL(hAPP_f166538662l_bool(X1,X2))
    | collec488126193l_bool(X1) != bot_bo1761158942l_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1127]) ).

cnf(c_0_1656,plain,
    insert1415133716_state(X1,insert1415133716_state(X1,X2)) = insert1415133716_state(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1128]) ).

cnf(c_0_1657,plain,
    insert_pname(X1,insert_pname(X1,X2)) = insert_pname(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1129]) ).

cnf(c_0_1658,plain,
    ( insert1556680138e_bool(X1,dom_fu1342267980ol_com(X2)) = dom_fu1342267980ol_com(X2)
    | hAPP_f2134636538on_com(X2,X1) != some_com(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1130]) ).

cnf(c_0_1659,plain,
    ( insert1325755072e_bool(X1,dom_fu2081503504ol_com(X2)) = dom_fu2081503504ol_com(X2)
    | hAPP_f2138803836on_com(X2,X1) != some_com(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1131]) ).

cnf(c_0_1660,plain,
    ( insert_pname(X1,dom_pname_com(X2)) = dom_pname_com(X2)
    | hAPP_p799580910on_com(X2,X1) != some_com(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1132]) ).

cnf(c_0_1661,plain,
    ( ~ hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(fNot,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1133]) ).

cnf(c_0_1662,plain,
    is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))),
    inference(split_conjunct,[status(thm)],[c_0_1134]) ).

cnf(c_0_1663,plain,
    collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)) = insert1556680138e_bool(X1,bot_bo535777328l_bool),
    inference(split_conjunct,[status(thm)],[c_0_1135]) ).

cnf(c_0_1664,plain,
    collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)) = insert1325755072e_bool(X1,bot_bo1649642514l_bool),
    inference(split_conjunct,[status(thm)],[c_0_1136]) ).

cnf(c_0_1665,plain,
    collec307967673_state(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)) = insert1415133716_state(X1,bot_bo620288102e_bool),
    inference(split_conjunct,[status(thm)],[c_0_1137]) ).

cnf(c_0_1666,plain,
    collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)) = insert_pname(X1,bot_bo844097828e_bool),
    inference(split_conjunct,[status(thm)],[c_0_1138]) ).

cnf(c_0_1667,plain,
    ( bot_bo844097828e_bool = collect_pname(X1)
    | hBOOL(hAPP_pname_bool(X1,esk12_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1114]) ).

cnf(c_0_1668,plain,
    ( bot_bo620288102e_bool = collec307967673_state(X1)
    | hBOOL(hAPP_H78829294e_bool(X1,esk11_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1122]) ).

cnf(c_0_1669,plain,
    ( bot_bo1649642514l_bool = collec1974731493e_bool(X1)
    | hBOOL(hAPP_f1664156314l_bool(X1,esk10_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1115]) ).

cnf(c_0_1670,plain,
    ( bot_bo535777328l_bool = collec1823980261e_bool(X1)
    | hBOOL(hAPP_f971112728l_bool(X1,esk9_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1123]) ).

cnf(c_0_1671,plain,
    ( bot_bo1761158942l_bool = collec488126193l_bool(X1)
    | hBOOL(hAPP_f166538662l_bool(X1,esk8_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1124]) ).

cnf(c_0_1672,plain,
    ( bot_bo1537088220l_bool = collec1613912337l_bool(X1)
    | hBOOL(hAPP_f1935102916l_bool(X1,esk7_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1116]) ).

cnf(c_0_1673,plain,
    ( collect_pname(X1) = bot_bo844097828e_bool
    | hBOOL(hAPP_pname_bool(X1,esk6_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1117]) ).

cnf(c_0_1674,plain,
    ( collec307967673_state(X1) = bot_bo620288102e_bool
    | hBOOL(hAPP_H78829294e_bool(X1,esk5_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1125]) ).

cnf(c_0_1675,plain,
    ( collec1974731493e_bool(X1) = bot_bo1649642514l_bool
    | hBOOL(hAPP_f1664156314l_bool(X1,esk4_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1118]) ).

cnf(c_0_1676,plain,
    ( collec1823980261e_bool(X1) = bot_bo535777328l_bool
    | hBOOL(hAPP_f971112728l_bool(X1,esk3_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1126]) ).

cnf(c_0_1677,plain,
    ( collec488126193l_bool(X1) = bot_bo1761158942l_bool
    | hBOOL(hAPP_f166538662l_bool(X1,esk2_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1127]) ).

cnf(c_0_1678,plain,
    ( collec1613912337l_bool(X1) = bot_bo1537088220l_bool
    | hBOOL(hAPP_f1935102916l_bool(X1,esk1_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1119]) ).

cnf(c_0_1679,plain,
    ( is_bool(hAPP_f1664156314l_bool(X1,X2))
    | ~ is_fun_pname_bool(X2)
    | ~ is_fun1661590463l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1139]) ).

cnf(c_0_1680,plain,
    ( is_bool(hAPP_pname_bool(X1,X2))
    | ~ is_pname(X2)
    | ~ is_fun_pname_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1140]) ).

cnf(c_0_1681,plain,
    ( is_fun1661590463l_bool(insert1325755072e_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2)
    | ~ is_fun_pname_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1141]) ).

cnf(c_0_1682,plain,
    ( is_fun_pname_bool(insert_pname(X1,X2))
    | ~ is_fun_pname_bool(X2)
    | ~ is_pname(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1142]) ).

cnf(c_0_1683,plain,
    ( hAPP_pname_com(body_1,X2) = hAPP_pname_com(body_1,X1)
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1120]) ).

cnf(c_0_1684,plain,
    ( hBOOL(wt(X1))
    | hAPP_p799580910on_com(body,X2) != some_com(X1)
    | ~ hBOOL(wT_bodies) ),
    inference(split_conjunct,[status(thm)],[c_0_1143]) ).

cnf(c_0_1685,plain,
    ( X1 = X2
    | insert1415133716_state(X1,bot_bo620288102e_bool) != insert1415133716_state(X2,bot_bo620288102e_bool) ),
    inference(split_conjunct,[status(thm)],[c_0_1144]) ).

cnf(c_0_1686,plain,
    ( image_1283814551_pname(cOMBK_948730864e_bool(X2),X1) = insert_pname(X2,bot_bo844097828e_bool)
    | X1 = bot_bo1649642514l_bool
    | ~ is_fun1661590463l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1145]) ).

cnf(c_0_1687,plain,
    ( image_516545147_state(cOMBK_1503445380e_bool(X2),X1) = insert1415133716_state(X2,bot_bo620288102e_bool)
    | X1 = bot_bo1649642514l_bool
    | ~ is_fun1661590463l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1146]) ).

cnf(c_0_1688,plain,
    ( image_pname_pname(cOMBK_pname_pname(X2),X1) = insert_pname(X2,bot_bo844097828e_bool)
    | X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1147]) ).

cnf(c_0_1689,plain,
    ( image_70449425e_bool(cOMBK_1706929794_pname(X2),X1) = insert1556680138e_bool(X2,bot_bo535777328l_bool)
    | X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1148]) ).

cnf(c_0_1690,plain,
    ( image_47868345e_bool(cOMBK_37193422_pname(X2),X1) = insert1325755072e_bool(X2,bot_bo1649642514l_bool)
    | X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1149]) ).

cnf(c_0_1691,plain,
    ( image_2003357581_state(cOMBK_367030522_pname(X2),X1) = insert1415133716_state(X2,bot_bo620288102e_bool)
    | X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1150]) ).

cnf(c_0_1692,plain,
    collec1823980261e_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X1)) = insert1556680138e_bool(X1,bot_bo535777328l_bool),
    inference(split_conjunct,[status(thm)],[c_0_1151]) ).

cnf(c_0_1693,plain,
    collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1)) = insert1325755072e_bool(X1,bot_bo1649642514l_bool),
    inference(split_conjunct,[status(thm)],[c_0_1152]) ).

cnf(c_0_1694,plain,
    collec307967673_state(hAPP_H1049623551e_bool(fequal1111551311_state,X1)) = insert1415133716_state(X1,bot_bo620288102e_bool),
    inference(split_conjunct,[status(thm)],[c_0_1153]) ).

cnf(c_0_1695,plain,
    collect_pname(hAPP_p61793385e_bool(fequal_pname,X1)) = insert_pname(X1,bot_bo844097828e_bool),
    inference(split_conjunct,[status(thm)],[c_0_1154]) ).

cnf(c_0_1696,plain,
    hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),bot_bo620288102e_bool)),
    inference(split_conjunct,[status(thm)],[c_0_1155]) ).

cnf(c_0_1697,plain,
    ( is_fun1661590463l_bool(hAPP_f559147733l_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1156]) ).

cnf(c_0_1698,plain,
    ( is_bool(hAPP_f1935102916l_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1157]) ).

cnf(c_0_1699,plain,
    ( is_fun1661590463l_bool(hAPP_f434788991l_bool(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1158]) ).

cnf(c_0_1700,plain,
    ( is_fun_pname_bool(hAPP_f759274231e_bool(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1159]) ).

cnf(c_0_1701,plain,
    ( is_pname(hAPP_f1297739591_pname(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1160]) ).

cnf(c_0_1702,plain,
    ( is_bool(hAPP_bool_bool(X1,X2))
    | ~ is_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1161]) ).

cnf(c_0_1703,plain,
    ( is_fun1661590463l_bool(hAPP_p338031245l_bool(X1,X2))
    | ~ is_pname(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1162]) ).

cnf(c_0_1704,plain,
    ( is_fun_pname_bool(hAPP_p61793385e_bool(X1,X2))
    | ~ is_pname(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1163]) ).

cnf(c_0_1705,plain,
    ( is_pname(hAPP_pname_pname(X1,X2))
    | ~ is_pname(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1164]) ).

cnf(c_0_1706,plain,
    ( is_fun_pname_bool(image_1283814551_pname(X1,X2))
    | ~ is_fun1661590463l_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1165]) ).

cnf(c_0_1707,plain,
    ( is_fun1661590463l_bool(image_47868345e_bool(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1166]) ).

cnf(c_0_1708,plain,
    ( is_fun_pname_bool(image_pname_pname(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1167]) ).

cnf(c_0_1709,plain,
    ( is_fun1661590463l_bool(cOMBS_350070575l_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1168]) ).

cnf(c_0_1710,plain,
    ( is_fun_pname_bool(cOMBS_568398431l_bool(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1169]) ).

cnf(c_0_1711,plain,
    ( is_fun1661590463l_bool(cOMBB_307249310e_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1170]) ).

cnf(c_0_1712,plain,
    ( is_fun_pname_bool(cOMBB_647938656_pname(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1171]) ).

cnf(c_0_1713,plain,
    ( image_187965177_pname(cOMBK_1589414042e_bool(X1),X2) = insert_pname(X1,bot_bo844097828e_bool)
    | X2 = bot_bo535777328l_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1172]) ).

cnf(c_0_1714,plain,
    ( image_18964633_state(cOMBK_701929478e_bool(X1),X2) = insert1415133716_state(X1,bot_bo620288102e_bool)
    | X2 = bot_bo535777328l_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1173]) ).

cnf(c_0_1715,plain,
    ( image_1828608335e_bool(cOMBK_1039769424_state(X1),X2) = insert1556680138e_bool(X1,bot_bo535777328l_bool)
    | X2 = bot_bo620288102e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1174]) ).

cnf(c_0_1716,plain,
    ( image_2131964411e_bool(cOMBK_2035509764_state(X1),X2) = insert1325755072e_bool(X1,bot_bo1649642514l_bool)
    | X2 = bot_bo620288102e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1175]) ).

cnf(c_0_1717,plain,
    ( image_54689091_pname(cOMBK_168215364_state(X1),X2) = insert_pname(X1,bot_bo844097828e_bool)
    | X2 = bot_bo620288102e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1176]) ).

cnf(c_0_1718,plain,
    hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,dom_pname_com(body))),
    inference(split_conjunct,[status(thm)],[c_0_1177]) ).

cnf(c_0_1719,plain,
    ( hBOOL(hAPP_bool_bool(fNot,X1))
    | hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1178]) ).

cnf(c_0_1720,plain,
    ( X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | bot_bo620288102e_bool != image_2003357581_state(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1179]) ).

cnf(c_0_1721,plain,
    ( X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | image_2003357581_state(X2,X1) != bot_bo620288102e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1180]) ).

cnf(c_0_1722,plain,
    is_bool(hAPP_f1022807134l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1181]) ).

cnf(c_0_1723,plain,
    is_bool(hAPP_f595608956l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1182]) ).

cnf(c_0_1724,plain,
    is_bool(hAPP_f468958928l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1183]) ).

cnf(c_0_1725,plain,
    is_bool(hAPP_f389811538l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1184]) ).

cnf(c_0_1726,plain,
    is_bool(hAPP_f166538662l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1185]) ).

cnf(c_0_1727,plain,
    is_pname(hAPP_f560369737_pname(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1186]) ).

cnf(c_0_1728,plain,
    is_fun_pname_bool(hAPP_H356885323e_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1187]) ).

cnf(c_0_1729,plain,
    is_bool(hAPP_H78829294e_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1188]) ).

cnf(c_0_1730,plain,
    is_pname(hAPP_H1621176307_pname(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1189]) ).

cnf(c_0_1731,plain,
    is_fun_pname_bool(image_1619336331_pname(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1190]) ).

cnf(c_0_1732,plain,
    is_fun_pname_bool(image_1705983821_pname(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1191]) ).

cnf(c_0_1733,plain,
    is_fun_pname_bool(image_187965177_pname(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1192]) ).

cnf(c_0_1734,plain,
    is_fun1661590463l_bool(image_2131964411e_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1193]) ).

cnf(c_0_1735,plain,
    is_fun_pname_bool(image_54689091_pname(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1194]) ).

cnf(c_0_1736,plain,
    ( image_1283814551_pname(cOMBK_948730864e_bool(X2),X1) = bot_bo844097828e_bool
    | ~ is_fun1661590463l_bool(X1)
    | X1 != bot_bo1649642514l_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1145]) ).

cnf(c_0_1737,plain,
    ( image_516545147_state(cOMBK_1503445380e_bool(X2),X1) = bot_bo620288102e_bool
    | ~ is_fun1661590463l_bool(X1)
    | X1 != bot_bo1649642514l_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1146]) ).

cnf(c_0_1738,plain,
    ( image_pname_pname(cOMBK_pname_pname(X2),X1) = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1147]) ).

cnf(c_0_1739,plain,
    ( image_70449425e_bool(cOMBK_1706929794_pname(X2),X1) = bot_bo535777328l_bool
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1148]) ).

cnf(c_0_1740,plain,
    ( image_47868345e_bool(cOMBK_37193422_pname(X2),X1) = bot_bo1649642514l_bool
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1149]) ).

cnf(c_0_1741,plain,
    ( image_2003357581_state(cOMBK_367030522_pname(X2),X1) = bot_bo620288102e_bool
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1150]) ).

cnf(c_0_1742,plain,
    ( hAPP_f166538662l_bool(cOMBK_482404831l_bool(X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1195]) ).

cnf(c_0_1743,plain,
    ( hAPP_H356885323e_bool(cOMBK_2035509764_state(X1),X2) = X1
    | ~ is_fun_pname_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1196]) ).

cnf(c_0_1744,plain,
    ( hAPP_f560369737_pname(cOMBK_1589414042e_bool(X1),X2) = X1
    | ~ is_pname(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1197]) ).

cnf(c_0_1745,plain,
    ( hAPP_f971112728l_bool(cOMBK_129401207e_bool(X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1198]) ).

cnf(c_0_1746,plain,
    ( hAPP_H1621176307_pname(cOMBK_168215364_state(X1),X2) = X1
    | ~ is_pname(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1199]) ).

cnf(c_0_1747,plain,
    ( hAPP_H78829294e_bool(cOMBK_659609255_state(X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1200]) ).

cnf(c_0_1748,plain,
    ( hAPP_p61793385e_bool(cOMBK_37193422_pname(X1),X2) = X1
    | ~ is_fun_pname_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1201]) ).

cnf(c_0_1749,plain,
    ( hAPP_f1297739591_pname(cOMBK_948730864e_bool(X1),X2) = X1
    | ~ is_pname(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1202]) ).

cnf(c_0_1750,plain,
    ( hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1203]) ).

cnf(c_0_1751,plain,
    ( hAPP_pname_pname(cOMBK_pname_pname(X1),X2) = X1
    | ~ is_pname(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1204]) ).

cnf(c_0_1752,plain,
    ( hAPP_pname_bool(cOMBK_bool_pname(X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1205]) ).

cnf(c_0_1753,plain,
    hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_1206]) ).

cnf(c_0_1754,plain,
    hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,bot_bo535777328l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_1207]) ).

cnf(c_0_1755,plain,
    hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,bot_bo1761158942l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_1208]) ).

cnf(c_0_1756,plain,
    hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,bot_bo1537088220l_bool)),
    inference(split_conjunct,[status(thm)],[c_0_1209]) ).

cnf(c_0_1757,plain,
    hBOOL(hAPP_f971112728l_bool(finite364844667_state,bot_bo620288102e_bool)),
    inference(split_conjunct,[status(thm)],[c_0_1210]) ).

cnf(c_0_1758,plain,
    hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)),
    inference(split_conjunct,[status(thm)],[c_0_1211]) ).

cnf(c_0_1759,plain,
    ( bot_bo620288102e_bool = image_2003357581_state(X2,X1)
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1179]) ).

cnf(c_0_1760,plain,
    ( image_2003357581_state(X2,X1) = bot_bo620288102e_bool
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1180]) ).

cnf(c_0_1761,plain,
    ( image_187965177_pname(cOMBK_1589414042e_bool(X1),X2) = bot_bo844097828e_bool
    | X2 != bot_bo535777328l_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1172]) ).

cnf(c_0_1762,plain,
    ( image_18964633_state(cOMBK_701929478e_bool(X1),X2) = bot_bo620288102e_bool
    | X2 != bot_bo535777328l_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1173]) ).

cnf(c_0_1763,plain,
    ( image_1828608335e_bool(cOMBK_1039769424_state(X1),X2) = bot_bo535777328l_bool
    | X2 != bot_bo620288102e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1174]) ).

cnf(c_0_1764,plain,
    ( image_2131964411e_bool(cOMBK_2035509764_state(X1),X2) = bot_bo1649642514l_bool
    | X2 != bot_bo620288102e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1175]) ).

cnf(c_0_1765,plain,
    ( image_54689091_pname(cOMBK_168215364_state(X1),X2) = bot_bo844097828e_bool
    | X2 != bot_bo620288102e_bool ),
    inference(split_conjunct,[status(thm)],[c_0_1176]) ).

cnf(c_0_1766,plain,
    bot_bo620288102e_bool != insert1415133716_state(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1212]) ).

cnf(c_0_1767,plain,
    bot_bo844097828e_bool != insert_pname(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1213]) ).

cnf(c_0_1768,plain,
    insert1415133716_state(X1,X2) != bot_bo620288102e_bool,
    inference(split_conjunct,[status(thm)],[c_0_1214]) ).

cnf(c_0_1769,plain,
    insert_pname(X1,X2) != bot_bo844097828e_bool,
    inference(split_conjunct,[status(thm)],[c_0_1215]) ).

cnf(c_0_1770,plain,
    hAPP_H1049623551e_bool(cOMBK_1039769424_state(X1),X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_1216]) ).

cnf(c_0_1771,plain,
    hAPP_f1387463497_state(cOMBK_701929478e_bool(X1),X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_1217]) ).

cnf(c_0_1772,plain,
    hAPP_p442853985e_bool(cOMBK_1706929794_pname(X1),X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_1218]) ).

cnf(c_0_1773,plain,
    hAPP_f888949707_state(cOMBK_1503445380e_bool(X1),X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_1219]) ).

cnf(c_0_1774,plain,
    hAPP_p1422361149_state(cOMBK_367030522_pname(X1),X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_1220]) ).

cnf(c_0_1775,plain,
    ( X1 = bot_bo844097828e_bool
    | is_pname(esk20_1(X1))
    | ~ is_fun_pname_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_996]) ).

cnf(c_0_1776,plain,
    ( X1 = bot_bo1649642514l_bool
    | is_fun_pname_bool(esk17_1(X1))
    | ~ is_fun1661590463l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_997]) ).

cnf(c_0_1777,plain,
    ( X1 = bot_bo844097828e_bool
    | is_pname(esk16_1(X1))
    | ~ is_fun_pname_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_998]) ).

cnf(c_0_1778,plain,
    ( X1 = bot_bo1649642514l_bool
    | is_fun_pname_bool(esk13_1(X1))
    | ~ is_fun1661590463l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_999]) ).

cnf(c_0_1779,plain,
    ( is_fun1661590463l_bool(collec1974731493e_bool(X1))
    | ~ is_fun1661590463l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1221]) ).

cnf(c_0_1780,plain,
    ( is_fun_pname_bool(collect_pname(X1))
    | ~ is_fun_pname_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1222]) ).

cnf(c_0_1781,plain,
    ( is_fun1661590463l_bool(cOMBK_1857069011e_bool(X1))
    | ~ is_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1223]) ).

cnf(c_0_1782,plain,
    ( is_fun_pname_bool(cOMBK_bool_pname(X1))
    | ~ is_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1224]) ).

cnf(c_0_1783,plain,
    ( bot_bo844097828e_bool = collect_pname(X1)
    | is_pname(esk12_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1114]) ).

cnf(c_0_1784,plain,
    ( bot_bo1649642514l_bool = collec1974731493e_bool(X1)
    | is_fun_pname_bool(esk10_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1115]) ).

cnf(c_0_1785,plain,
    ( bot_bo1537088220l_bool = collec1613912337l_bool(X1)
    | is_fun1661590463l_bool(esk7_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1116]) ).

cnf(c_0_1786,plain,
    ( collect_pname(X1) = bot_bo844097828e_bool
    | is_pname(esk6_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1117]) ).

cnf(c_0_1787,plain,
    ( collec1974731493e_bool(X1) = bot_bo1649642514l_bool
    | is_fun_pname_bool(esk4_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1118]) ).

cnf(c_0_1788,plain,
    ( collec1613912337l_bool(X1) = bot_bo1537088220l_bool
    | is_fun1661590463l_bool(esk1_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1119]) ).

cnf(c_0_1789,plain,
    image_2003357581_state(X1,bot_bo844097828e_bool) = bot_bo620288102e_bool,
    inference(split_conjunct,[status(thm)],[c_0_1225]) ).

cnf(c_0_1790,plain,
    ( collec1974731493e_bool(X1) = X1
    | ~ is_fun1661590463l_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1226]) ).

cnf(c_0_1791,plain,
    ( collect_pname(X1) = X1
    | ~ is_fun_pname_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1227]) ).

cnf(c_0_1792,plain,
    is_fun1661590463l_bool(dom_fu2081503504ol_com(X1)),
    inference(split_conjunct,[status(thm)],[c_0_1228]) ).

cnf(c_0_1793,plain,
    is_bool(wt(X1)),
    inference(split_conjunct,[status(thm)],[c_0_1229]) ).

cnf(c_0_1794,plain,
    ( X1 = fFalse
    | X1 = fTrue
    | ~ is_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1230]) ).

cnf(c_0_1795,plain,
    bot_bo844097828e_bool = collect_pname(cOMBK_bool_pname(fFalse)),
    inference(split_conjunct,[status(thm)],[c_0_1231]) ).

cnf(c_0_1796,plain,
    bot_bo620288102e_bool = collec307967673_state(cOMBK_659609255_state(fFalse)),
    inference(split_conjunct,[status(thm)],[c_0_1232]) ).

cnf(c_0_1797,plain,
    bot_bo1649642514l_bool = collec1974731493e_bool(cOMBK_1857069011e_bool(fFalse)),
    inference(split_conjunct,[status(thm)],[c_0_1233]) ).

cnf(c_0_1798,plain,
    bot_bo535777328l_bool = collec1823980261e_bool(cOMBK_129401207e_bool(fFalse)),
    inference(split_conjunct,[status(thm)],[c_0_1234]) ).

cnf(c_0_1799,plain,
    bot_bo1761158942l_bool = collec488126193l_bool(cOMBK_482404831l_bool(fFalse)),
    inference(split_conjunct,[status(thm)],[c_0_1235]) ).

cnf(c_0_1800,plain,
    is_pname(undefined_pname(pname)),
    inference(split_conjunct,[status(thm)],[c_0_1236]) ).

cnf(c_0_1801,plain,
    collec1823980261e_bool(X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_1237]) ).

cnf(c_0_1802,plain,
    collec307967673_state(X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_1238]) ).

cnf(c_0_1803,plain,
    ~ hBOOL(fFalse),
    inference(split_conjunct,[status(thm)],[c_0_1239]) ).

cnf(c_0_1804,plain,
    is_bool(fTrue),
    inference(split_conjunct,[status(thm)],[c_0_1240]) ).

cnf(c_0_1805,plain,
    is_bool(fFalse),
    inference(split_conjunct,[status(thm)],[c_0_1241]) ).

cnf(c_0_1806,plain,
    is_fun1661590463l_bool(bot_bo1649642514l_bool),
    inference(split_conjunct,[status(thm)],[c_0_1242]) ).

cnf(c_0_1807,plain,
    is_fun_pname_bool(bot_bo844097828e_bool),
    inference(split_conjunct,[status(thm)],[c_0_1243]) ).

cnf(c_0_1808,plain,
    is_fun1661590463l_bool(finite_finite_pname),
    inference(split_conjunct,[status(thm)],[c_0_1244]) ).

cnf(c_0_1809,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2)),bot_bo620288102e_bool)))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2)),X1)),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X2))),bot_bo620288102e_bool))) ),
    c_0_1245,
    [final] ).

cnf(c_0_1810,plain,
    ( hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,insert1556680138e_bool(esk31_3(X3,X2,X1),esk32_3(X3,X2,X1)))) ),
    c_0_1246,
    [final] ).

cnf(c_0_1811,plain,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,insert1325755072e_bool(esk29_3(X3,X2,X1),esk30_3(X3,X2,X1)))) ),
    c_0_1247,
    [final] ).

cnf(c_0_1812,plain,
    ( hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,insert1415133716_state(esk27_3(X3,X2,X1),esk28_3(X3,X2,X1)))) ),
    c_0_1248,
    [final] ).

cnf(c_0_1813,plain,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,insert_pname(esk25_3(X3,X2,X1),esk26_3(X3,X2,X1)))) ),
    c_0_1249,
    [final] ).

cnf(c_0_1814,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2),bot_bo620288102e_bool)))
    | ~ hBOOL(hoare_165779456gleton)
    | ~ hBOOL(wt(X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,esk23_2(X2,X1))),bot_bo620288102e_bool))) ),
    c_0_1250,
    [final] ).

cnf(c_0_1815,plain,
    ( hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,esk31_3(X3,X2,X1)),esk32_3(X3,X2,X1))) ),
    c_0_1251,
    [final] ).

cnf(c_0_1816,plain,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk29_3(X3,X2,X1)),esk30_3(X3,X2,X1))) ),
    c_0_1252,
    [final] ).

cnf(c_0_1817,plain,
    ( hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk27_3(X3,X2,X1)),esk28_3(X3,X2,X1))) ),
    c_0_1253,
    [final] ).

cnf(c_0_1818,plain,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk25_3(X3,X2,X1)),esk26_3(X3,X2,X1))) ),
    c_0_1254,
    [final] ).

cnf(c_0_1819,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk36_3(X2,X3,X1)),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    c_0_1255,
    [final] ).

cnf(c_0_1820,plain,
    ( hBOOL(hAPP_f166538662l_bool(X3,X1))
    | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,esk31_3(X3,X2,X1)),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool)) ),
    c_0_1256,
    [final] ).

cnf(c_0_1821,plain,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk29_3(X3,X2,X1)),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    c_0_1257,
    [final] ).

cnf(c_0_1822,plain,
    ( hBOOL(hAPP_f971112728l_bool(X3,X1))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk27_3(X3,X2,X1)),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool)) ),
    c_0_1258,
    [final] ).

cnf(c_0_1823,plain,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk25_3(X3,X2,X1)),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    c_0_1259,
    [final] ).

cnf(c_0_1824,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk24_3(X1,X2,X3)),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    c_0_1260,
    [final] ).

cnf(c_0_1825,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk22_3(X1,X2,X3)),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    c_0_1261,
    [final] ).

cnf(c_0_1826,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk21_3(X1,X2,X3)),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    c_0_1262,
    [final] ).

cnf(c_0_1827,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X1),X2)))) ),
    c_0_1263,
    [final] ).

cnf(c_0_1828,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X2)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X1),X2)))) ),
    c_0_1264,
    [final] ).

cnf(c_0_1829,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1),X2)))) ),
    c_0_1265,
    [final] ).

cnf(c_0_1830,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X2)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1),X2)))) ),
    c_0_1266,
    [final] ).

cnf(c_0_1831,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X1),X2)))) ),
    c_0_1267,
    [final] ).

cnf(c_0_1832,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X1),X2)))) ),
    c_0_1268,
    [final] ).

cnf(c_0_1833,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1),X2)))) ),
    c_0_1269,
    [final] ).

cnf(c_0_1834,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1),X2)))) ),
    c_0_1270,
    [final] ).

cnf(c_0_1835,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk36_3(X2,X3,X1)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    c_0_1271,
    [final] ).

cnf(c_0_1836,plain,
    ( hBOOL(hAPP_f166538662l_bool(X3,X1))
    | hBOOL(hAPP_f166538662l_bool(X3,esk32_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool)) ),
    c_0_1272,
    [final] ).

cnf(c_0_1837,plain,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,esk30_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    c_0_1273,
    [final] ).

cnf(c_0_1838,plain,
    ( hBOOL(hAPP_f971112728l_bool(X3,X1))
    | hBOOL(hAPP_f971112728l_bool(X3,esk28_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool)) ),
    c_0_1274,
    [final] ).

cnf(c_0_1839,plain,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,esk26_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    c_0_1275,
    [final] ).

cnf(c_0_1840,plain,
    ( hBOOL(hAPP_f166538662l_bool(X3,X1))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,esk32_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool)) ),
    c_0_1276,
    [final] ).

cnf(c_0_1841,plain,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk30_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    c_0_1277,
    [final] ).

cnf(c_0_1842,plain,
    ( hBOOL(hAPP_f971112728l_bool(X3,X1))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,esk28_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool)) ),
    c_0_1278,
    [final] ).

cnf(c_0_1843,plain,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk26_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    c_0_1279,
    [final] ).

cnf(c_0_1844,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X1),X2))))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X2)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1))) ),
    c_0_1280,
    [final] ).

cnf(c_0_1845,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1),X2))))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X2)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1))) ),
    c_0_1281,
    [final] ).

cnf(c_0_1846,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X1),X2))))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1))) ),
    c_0_1282,
    [final] ).

cnf(c_0_1847,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1),X2))))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1))) ),
    c_0_1283,
    [final] ).

cnf(c_0_1848,plain,
    collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fimplies,cOMBB_1522210668e_bool(fNot,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1))),X2)) = insert1556680138e_bool(X1,collec1823980261e_bool(X2)),
    c_0_1284,
    [final] ).

cnf(c_0_1849,plain,
    collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1))),X2)) = insert1325755072e_bool(X1,collec1974731493e_bool(X2)),
    c_0_1285,
    [final] ).

cnf(c_0_1850,plain,
    collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1))),X2)) = insert1415133716_state(X1,collec307967673_state(X2)),
    c_0_1286,
    [final] ).

cnf(c_0_1851,plain,
    collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),X2)) = insert_pname(X1,collect_pname(X2)),
    c_0_1287,
    [final] ).

cnf(c_0_1852,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1,X2)),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3)) ),
    c_0_1288,
    [final] ).

cnf(c_0_1853,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X2)),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
    c_0_1289,
    [final] ).

cnf(c_0_1854,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1))) ),
    c_0_1290,
    [final] ).

cnf(c_0_1855,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X2))) ),
    c_0_1291,
    [final] ).

cnf(c_0_1856,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1))) ),
    c_0_1292,
    [final] ).

cnf(c_0_1857,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X2))) ),
    c_0_1293,
    [final] ).

cnf(c_0_1858,plain,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(cOMBS_1358309691l_bool(cOMBB_404111180l_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(X1))) ),
    c_0_1294,
    [final] ).

cnf(c_0_1859,plain,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(cOMBS_1358309691l_bool(cOMBB_404111180l_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(X2))) ),
    c_0_1295,
    [final] ).

cnf(c_0_1860,plain,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(cOMBS_811933079l_bool(cOMBB_689948150l_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(X1))) ),
    c_0_1296,
    [final] ).

cnf(c_0_1861,plain,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(cOMBS_811933079l_bool(cOMBB_689948150l_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(X2))) ),
    c_0_1297,
    [final] ).

cnf(c_0_1862,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1))) ),
    c_0_1298,
    [final] ).

cnf(c_0_1863,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X2))) ),
    c_0_1299,
    [final] ).

cnf(c_0_1864,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1))) ),
    c_0_1300,
    [final] ).

cnf(c_0_1865,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X2))) ),
    c_0_1301,
    [final] ).

cnf(c_0_1866,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2),bot_bo620288102e_bool)))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk23_2(X2,X1)),dom_pname_com(body)))
    | ~ hBOOL(hoare_165779456gleton)
    | ~ hBOOL(wt(X2)) ),
    c_0_1302,
    [final] ).

cnf(c_0_1867,plain,
    ( image_2003357581_state(X2,esk36_3(X2,X3,X1)) = X1
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    c_0_1303,
    [final] ).

cnf(c_0_1868,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk35_2(X2,X1)),X2)) ),
    c_0_1304,
    [final] ).

cnf(c_0_1869,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk34_2(X2,X1)),X2)) ),
    c_0_1305,
    [final] ).

cnf(c_0_1870,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1,X2)),X3)) ),
    c_0_1306,
    [final] ).

cnf(c_0_1871,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1,X2)),X3)) ),
    c_0_1307,
    [final] ).

cnf(c_0_1872,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X2)),X3)) ),
    c_0_1308,
    [final] ).

cnf(c_0_1873,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X2)),X3)) ),
    c_0_1309,
    [final] ).

cnf(c_0_1874,plain,
    ( is_fun_pname_bool(esk36_3(X2,X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    c_0_1310,
    [final] ).

cnf(c_0_1875,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),insert1415133716_state(X1,X3))) ),
    c_0_1311,
    [final] ).

cnf(c_0_1876,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),insert_pname(X1,X3))) ),
    c_0_1312,
    [final] ).

cnf(c_0_1877,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,image_2003357581_state(X1,X2)),image_2003357581_state(X1,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
    c_0_1313,
    [final] ).

cnf(c_0_1878,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1,X2)),insert1415133716_state(X1,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3)) ),
    c_0_1314,
    [final] ).

cnf(c_0_1879,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X2)),insert_pname(X1,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
    c_0_1315,
    [final] ).

cnf(c_0_1880,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_p1422361149_state(X1,X2)),image_2003357581_state(X1,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
    c_0_1316,
    [final] ).

cnf(c_0_1881,plain,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | is_fun_pname_bool(esk29_3(X3,X2,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    c_0_1317,
    [final] ).

cnf(c_0_1882,plain,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | is_fun1661590463l_bool(esk30_3(X3,X2,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    c_0_1318,
    [final] ).

cnf(c_0_1883,plain,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | is_pname(esk25_3(X3,X2,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    c_0_1319,
    [final] ).

cnf(c_0_1884,plain,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | is_fun_pname_bool(esk26_3(X3,X2,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    c_0_1320,
    [final] ).

cnf(c_0_1885,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),insert1415133716_state(X1,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3)) ),
    c_0_1321,
    [final] ).

cnf(c_0_1886,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),insert_pname(X1,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
    c_0_1322,
    [final] ).

cnf(c_0_1887,plain,
    ( hAPP_p1422361149_state(X2,esk24_3(X1,X2,X3)) = X1
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    c_0_1323,
    [final] ).

cnf(c_0_1888,plain,
    ( image_2003357581_state(X2,esk22_3(X1,X2,X3)) = X1
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    c_0_1324,
    [final] ).

cnf(c_0_1889,plain,
    ( hAPP_p1422361149_state(X2,esk21_3(X1,X2,X3)) = X1
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    c_0_1325,
    [final] ).

cnf(c_0_1890,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2)) ),
    c_0_1326,
    [final] ).

cnf(c_0_1891,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
    c_0_1327,
    [final] ).

cnf(c_0_1892,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3)) ),
    c_0_1328,
    [final] ).

cnf(c_0_1893,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
    c_0_1329,
    [final] ).

cnf(c_0_1894,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2)) ),
    c_0_1330,
    [final] ).

cnf(c_0_1895,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
    c_0_1331,
    [final] ).

cnf(c_0_1896,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X3)) ),
    c_0_1332,
    [final] ).

cnf(c_0_1897,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
    c_0_1333,
    [final] ).

cnf(c_0_1898,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
    c_0_1334,
    [final] ).

cnf(c_0_1899,plain,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X3))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X3),X2)) ),
    c_0_1335,
    [final] ).

cnf(c_0_1900,plain,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X3))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2)) ),
    c_0_1336,
    [final] ).

cnf(c_0_1901,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2)) ),
    c_0_1337,
    [final] ).

cnf(c_0_1902,plain,
    ( is_pname(esk24_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    c_0_1338,
    [final] ).

cnf(c_0_1903,plain,
    ( is_fun_pname_bool(esk22_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    c_0_1339,
    [final] ).

cnf(c_0_1904,plain,
    ( is_pname(esk21_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    c_0_1340,
    [final] ).

cnf(c_0_1905,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,bot_bo620288102e_bool))) ),
    c_0_1341,
    [final] ).

cnf(c_0_1906,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
    | X2 = X1
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,X3))) ),
    c_0_1342,
    [final] ).

cnf(c_0_1907,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | X1 = X3
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X3,X2)))
    | ~ is_pname(X3)
    | ~ is_pname(X1) ),
    c_0_1343,
    [final] ).

cnf(c_0_1908,plain,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
    | X1 = X3
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),insert1325755072e_bool(X3,X2)))
    | ~ is_fun_pname_bool(X3)
    | ~ is_fun_pname_bool(X1) ),
    c_0_1344,
    [final] ).

cnf(c_0_1909,plain,
    collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X2))) = insert1556680138e_bool(X1,X2),
    c_0_1345,
    [final] ).

cnf(c_0_1910,plain,
    collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2))) = insert1325755072e_bool(X1,X2),
    c_0_1346,
    [final] ).

cnf(c_0_1911,plain,
    collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2))) = insert1415133716_state(X1,X2),
    c_0_1347,
    [final] ).

cnf(c_0_1912,plain,
    collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))) = insert_pname(X1,X2),
    c_0_1348,
    [final] ).

cnf(c_0_1913,plain,
    collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X2))) = insert1556680138e_bool(X1,X2),
    c_0_1349,
    [final] ).

cnf(c_0_1914,plain,
    collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2))) = insert1325755072e_bool(X1,X2),
    c_0_1350,
    [final] ).

cnf(c_0_1915,plain,
    collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2))) = insert1415133716_state(X1,X2),
    c_0_1351,
    [final] ).

cnf(c_0_1916,plain,
    collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))) = insert_pname(X1,X2),
    c_0_1352,
    [final] ).

cnf(c_0_1917,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | X1 = X3
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X3,X2))) ),
    c_0_1353,
    [final] ).

cnf(c_0_1918,plain,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
    | X1 = X3
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),insert1556680138e_bool(X3,X2))) ),
    c_0_1354,
    [final] ).

cnf(c_0_1919,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | X1 = X3
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X3,X2))) ),
    c_0_1355,
    [final] ).

cnf(c_0_1920,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
    | X1 != image_2003357581_state(X2,X4)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
    | ~ is_fun_pname_bool(X4) ),
    c_0_1356,
    [final] ).

cnf(c_0_1921,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
    | X1 != hAPP_p1422361149_state(X2,X4)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | ~ is_pname(X4) ),
    c_0_1357,
    [final] ).

cnf(c_0_1922,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
    | X1 != hAPP_p1422361149_state(X2,X4)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3)) ),
    c_0_1358,
    [final] ).

cnf(c_0_1923,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | X1 != hAPP_p1422361149_state(X2,X4) ),
    c_0_1359,
    [final] ).

cnf(c_0_1924,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_187965177_pname(X2,X3)))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X4),X3))
    | X1 != hAPP_f560369737_pname(X2,X4) ),
    c_0_1360,
    [final] ).

cnf(c_0_1925,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_1283814551_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X4),X3))
    | X1 != hAPP_f1297739591_pname(X2,X4) ),
    c_0_1361,
    [final] ).

cnf(c_0_1926,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_pname_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | X1 != hAPP_pname_pname(X2,X4) ),
    c_0_1362,
    [final] ).

cnf(c_0_1927,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_54689091_pname(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X4),X3))
    | X1 != hAPP_H1621176307_pname(X2,X4) ),
    c_0_1363,
    [final] ).

cnf(c_0_1928,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_18964633_state(X2,X3)))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X4),X3))
    | X1 != hAPP_f1387463497_state(X2,X4) ),
    c_0_1364,
    [final] ).

cnf(c_0_1929,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_516545147_state(X2,X3)))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X4),X3))
    | X1 != hAPP_f888949707_state(X2,X4) ),
    c_0_1365,
    [final] ).

cnf(c_0_1930,plain,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),image_70449425e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | X1 != hAPP_p442853985e_bool(X2,X4) ),
    c_0_1366,
    [final] ).

cnf(c_0_1931,plain,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),image_47868345e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | X1 != hAPP_p61793385e_bool(X2,X4) ),
    c_0_1367,
    [final] ).

cnf(c_0_1932,plain,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),image_1828608335e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X4),X3))
    | X1 != hAPP_H1049623551e_bool(X2,X4) ),
    c_0_1368,
    [final] ).

cnf(c_0_1933,plain,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),image_2131964411e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X4),X3))
    | X1 != hAPP_H356885323e_bool(X2,X4) ),
    c_0_1369,
    [final] ).

cnf(c_0_1934,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),image_2131964411e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
    c_0_1370,
    [final] ).

cnf(c_0_1935,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),image_1828608335e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
    c_0_1371,
    [final] ).

cnf(c_0_1936,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_54689091_pname(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
    c_0_1372,
    [final] ).

cnf(c_0_1937,plain,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1))
    | ~ hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X1),image_1761575943l_bool(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
    c_0_1373,
    [final] ).

cnf(c_0_1938,plain,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1))
    | ~ hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X1),image_1210605179l_bool(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
    c_0_1374,
    [final] ).

cnf(c_0_1939,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),image_47868345e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    c_0_1375,
    [final] ).

cnf(c_0_1940,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),image_70449425e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    c_0_1376,
    [final] ).

cnf(c_0_1941,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_pname_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    c_0_1377,
    [final] ).

cnf(c_0_1942,plain,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1))
    | ~ hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X1),image_288317893l_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    c_0_1378,
    [final] ).

cnf(c_0_1943,plain,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1))
    | ~ hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X1),image_1642285373l_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    c_0_1379,
    [final] ).

cnf(c_0_1944,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_516545147_state(X2,X3)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
    c_0_1380,
    [final] ).

cnf(c_0_1945,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_18964633_state(X2,X3)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X3)) ),
    c_0_1381,
    [final] ).

cnf(c_0_1946,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_892968839_state(X2,X3)))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X3)) ),
    c_0_1382,
    [final] ).

cnf(c_0_1947,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_677922117_state(X2,X3)))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X3)) ),
    c_0_1383,
    [final] ).

cnf(c_0_1948,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1283814551_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
    c_0_1384,
    [final] ).

cnf(c_0_1949,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_187965177_pname(X2,X3)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X3)) ),
    c_0_1385,
    [final] ).

cnf(c_0_1950,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1619336331_pname(X2,X3)))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X3)) ),
    c_0_1386,
    [final] ).

cnf(c_0_1951,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1705983821_pname(X2,X3)))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X3)) ),
    c_0_1387,
    [final] ).

cnf(c_0_1952,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    c_0_1388,
    [final] ).

cnf(c_0_1953,plain,
    ( collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),X2)) = insert1556680138e_bool(X1,bot_bo535777328l_bool)
    | ~ hBOOL(hAPP_f971112728l_bool(X2,X1)) ),
    c_0_1389,
    [final] ).

cnf(c_0_1954,plain,
    ( collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),X2)) = insert1325755072e_bool(X1,bot_bo1649642514l_bool)
    | ~ hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
    c_0_1390,
    [final] ).

cnf(c_0_1955,plain,
    ( collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),X2)) = insert1415133716_state(X1,bot_bo620288102e_bool)
    | ~ hBOOL(hAPP_H78829294e_bool(X2,X1)) ),
    c_0_1391,
    [final] ).

cnf(c_0_1956,plain,
    ( collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),X2)) = insert_pname(X1,bot_bo844097828e_bool)
    | ~ hBOOL(hAPP_pname_bool(X2,X1)) ),
    c_0_1392,
    [final] ).

cnf(c_0_1957,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,X3)))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
    c_0_1393,
    [final] ).

cnf(c_0_1958,plain,
    ( X2 = X1
    | ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
    c_0_1394,
    [final] ).

cnf(c_0_1959,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ is_fun_pname_bool(X2)
    | ~ is_fun_pname_bool(X1) ),
    c_0_1395,
    [final] ).

cnf(c_0_1960,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ is_fun1661590463l_bool(X2)
    | ~ is_fun1661590463l_bool(X1) ),
    c_0_1396,
    [final] ).

cnf(c_0_1961,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk35_2(X2,X1)),X1)) ),
    c_0_1397,
    [final] ).

cnf(c_0_1962,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk34_2(X2,X1)),X1)) ),
    c_0_1398,
    [final] ).

cnf(c_0_1963,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),insert1415133716_state(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X3)) ),
    c_0_1399,
    [final] ).

cnf(c_0_1964,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
    c_0_1400,
    [final] ).

cnf(c_0_1965,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3)) ),
    c_0_1401,
    [final] ).

cnf(c_0_1966,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3)) ),
    c_0_1402,
    [final] ).

cnf(c_0_1967,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
    c_0_1403,
    [final] ).

cnf(c_0_1968,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
    c_0_1404,
    [final] ).

cnf(c_0_1969,plain,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),insert1556680138e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X3)) ),
    c_0_1405,
    [final] ).

cnf(c_0_1970,plain,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),insert1325755072e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X3)) ),
    c_0_1406,
    [final] ).

cnf(c_0_1971,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3)) ),
    c_0_1407,
    [final] ).

cnf(c_0_1972,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
    c_0_1408,
    [final] ).

cnf(c_0_1973,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X2),X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2)) ),
    c_0_1409,
    [final] ).

cnf(c_0_1974,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
    c_0_1410,
    [final] ).

cnf(c_0_1975,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,bot_bo620288102e_bool)))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,X3))) ),
    c_0_1411,
    [final] ).

cnf(c_0_1976,plain,
    ( collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),X2)) = bot_bo535777328l_bool
    | hBOOL(hAPP_f971112728l_bool(X2,X1)) ),
    c_0_1412,
    [final] ).

cnf(c_0_1977,plain,
    ( collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),X2)) = bot_bo1649642514l_bool
    | hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
    c_0_1413,
    [final] ).

cnf(c_0_1978,plain,
    ( collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),X2)) = bot_bo620288102e_bool
    | hBOOL(hAPP_H78829294e_bool(X2,X1)) ),
    c_0_1414,
    [final] ).

cnf(c_0_1979,plain,
    ( collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),X2)) = bot_bo844097828e_bool
    | hBOOL(hAPP_pname_bool(X2,X1)) ),
    c_0_1415,
    [final] ).

cnf(c_0_1980,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2),bot_bo620288102e_bool)))
    | is_pname(esk23_2(X2,X1))
    | ~ hBOOL(hoare_165779456gleton)
    | ~ hBOOL(wt(X2)) ),
    c_0_1416,
    [final] ).

cnf(c_0_1981,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X2)) ),
    c_0_1417,
    [final] ).

cnf(c_0_1982,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3)) ),
    c_0_1418,
    [final] ).

cnf(c_0_1983,plain,
    ( collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X1)),X2)) = insert1556680138e_bool(X1,bot_bo535777328l_bool)
    | ~ hBOOL(hAPP_f971112728l_bool(X2,X1)) ),
    c_0_1419,
    [final] ).

cnf(c_0_1984,plain,
    ( collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),X2)) = insert1325755072e_bool(X1,bot_bo1649642514l_bool)
    | ~ hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
    c_0_1420,
    [final] ).

cnf(c_0_1985,plain,
    ( collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X1)),X2)) = insert1415133716_state(X1,bot_bo620288102e_bool)
    | ~ hBOOL(hAPP_H78829294e_bool(X2,X1)) ),
    c_0_1421,
    [final] ).

cnf(c_0_1986,plain,
    ( collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1)),X2)) = insert_pname(X1,bot_bo844097828e_bool)
    | ~ hBOOL(hAPP_pname_bool(X2,X1)) ),
    c_0_1422,
    [final] ).

cnf(c_0_1987,plain,
    ( X1 = insert_pname(X2,bot_bo844097828e_bool)
    | X1 = bot_bo844097828e_bool
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X2,bot_bo844097828e_bool)))
    | ~ is_fun_pname_bool(X1) ),
    c_0_1423,
    [final] ).

cnf(c_0_1988,plain,
    ( X1 = insert1325755072e_bool(X2,bot_bo1649642514l_bool)
    | X1 = bot_bo1649642514l_bool
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),insert1325755072e_bool(X2,bot_bo1649642514l_bool)))
    | ~ is_fun1661590463l_bool(X1) ),
    c_0_1424,
    [final] ).

cnf(c_0_1989,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
    | X1 = X2
    | ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | insert_pname(X3,X1) != insert_pname(X3,X2) ),
    c_0_1425,
    [final] ).

cnf(c_0_1990,plain,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),X1))))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
    c_0_1426,
    [final] ).

cnf(c_0_1991,plain,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(ord_le287025148l_bool),X1))))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1)) ),
    c_0_1427,
    [final] ).

cnf(c_0_1992,plain,
    ( hBOOL(hAPP_f1022807134l_bool(finite34021339l_bool,collec256567069l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(ord_le889598034l_bool),X1))))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1)) ),
    c_0_1428,
    [final] ).

cnf(c_0_1993,plain,
    ( hBOOL(hAPP_f595608956l_bool(finite1491191519l_bool,collec792590109l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(ord_le1375671464l_bool),X1))))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1)) ),
    c_0_1429,
    [final] ).

cnf(c_0_1994,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(ord_le1285840794e_bool),X1))))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
    c_0_1430,
    [final] ).

cnf(c_0_1995,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),X1))))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
    c_0_1431,
    [final] ).

cnf(c_0_1996,plain,
    ( X2 = X1
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,bot_bo844097828e_bool))) ),
    c_0_1432,
    [final] ).

cnf(c_0_1997,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,bot_bo844097828e_bool)))
    | ~ is_pname(X2)
    | ~ is_pname(X1) ),
    c_0_1433,
    [final] ).

cnf(c_0_1998,plain,
    ( X1 = insert1556680138e_bool(X2,bot_bo535777328l_bool)
    | X1 = bot_bo535777328l_bool
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),insert1556680138e_bool(X2,bot_bo535777328l_bool))) ),
    c_0_1434,
    [final] ).

cnf(c_0_1999,plain,
    ( X1 = insert1415133716_state(X2,bot_bo620288102e_bool)
    | X1 = bot_bo620288102e_bool
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),insert1415133716_state(X2,bot_bo620288102e_bool))) ),
    c_0_1435,
    [final] ).

cnf(c_0_2000,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1),bot_bo620288102e_bool)))
    | ~ hBOOL(wt(X1))
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(hoare_165779456gleton) ),
    c_0_1436,
    [final] ).

cnf(c_0_2001,plain,
    ( insert1415133716_state(hAPP_p1422361149_state(X1,X2),image_2003357581_state(X1,X3)) = image_2003357581_state(X1,X3)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
    c_0_1437,
    [final] ).

cnf(c_0_2002,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | X2 = X3
    | insert1415133716_state(X1,X2) != insert1415133716_state(X1,X3) ),
    c_0_1438,
    [final] ).

cnf(c_0_2003,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
    | insert_pname(X3,X1) = insert_pname(X3,X2)
    | ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | X1 != X2 ),
    c_0_1439,
    [final] ).

cnf(c_0_2004,plain,
    ( collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X1)),X2)) = bot_bo535777328l_bool
    | hBOOL(hAPP_f971112728l_bool(X2,X1)) ),
    c_0_1440,
    [final] ).

cnf(c_0_2005,plain,
    ( collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),X2)) = bot_bo1649642514l_bool
    | hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
    c_0_1441,
    [final] ).

cnf(c_0_2006,plain,
    ( collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X1)),X2)) = bot_bo620288102e_bool
    | hBOOL(hAPP_H78829294e_bool(X2,X1)) ),
    c_0_1442,
    [final] ).

cnf(c_0_2007,plain,
    ( collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1)),X2)) = bot_bo844097828e_bool
    | hBOOL(hAPP_pname_bool(X2,X1)) ),
    c_0_1443,
    [final] ).

cnf(c_0_2008,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,bot_bo620288102e_bool))) ),
    c_0_1444,
    [final] ).

cnf(c_0_2009,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,bot_bo620288102e_bool))) ),
    c_0_1445,
    [final] ).

cnf(c_0_2010,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,X3))) ),
    c_0_1446,
    [final] ).

cnf(c_0_2011,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    c_0_1447,
    [final] ).

cnf(c_0_2012,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    c_0_1448,
    [final] ).

cnf(c_0_2013,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2)) ),
    c_0_1449,
    [final] ).

cnf(c_0_2014,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
    c_0_1450,
    [final] ).

cnf(c_0_2015,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
    c_0_1451,
    [final] ).

cnf(c_0_2016,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
    c_0_1452,
    [final] ).

cnf(c_0_2017,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2)) ),
    c_0_1453,
    [final] ).

cnf(c_0_2018,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2)) ),
    c_0_1454,
    [final] ).

cnf(c_0_2019,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | insert1415133716_state(X1,X2) = insert1415133716_state(X1,X3)
    | X2 != X3 ),
    c_0_1455,
    [final] ).

cnf(c_0_2020,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X2)) ),
    c_0_1456,
    [final] ).

cnf(c_0_2021,plain,
    ( hBOOL(hAPP_pname_bool(X3,X1))
    | X2 = X1
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_pname_bool(insert_pname(X2,X3),X1)) ),
    c_0_1457,
    [final] ).

cnf(c_0_2022,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1)) ),
    c_0_1458,
    [final] ).

cnf(c_0_2023,plain,
    ( hBOOL(hAPP_H78829294e_bool(X1,X2))
    | X3 = X2
    | ~ hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X3,X1),X2)) ),
    c_0_1459,
    [final] ).

cnf(c_0_2024,plain,
    ( image_187965177_pname(cOMBK_1589414042e_bool(X1),X2) = insert_pname(X1,bot_bo844097828e_bool)
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X3),X2)) ),
    c_0_1460,
    [final] ).

cnf(c_0_2025,plain,
    ( image_1283814551_pname(cOMBK_948730864e_bool(X1),X2) = insert_pname(X1,bot_bo844097828e_bool)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X3),X2)) ),
    c_0_1461,
    [final] ).

cnf(c_0_2026,plain,
    ( image_18964633_state(cOMBK_701929478e_bool(X1),X2) = insert1415133716_state(X1,bot_bo620288102e_bool)
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X3),X2)) ),
    c_0_1462,
    [final] ).

cnf(c_0_2027,plain,
    ( image_516545147_state(cOMBK_1503445380e_bool(X1),X2) = insert1415133716_state(X1,bot_bo620288102e_bool)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X3),X2)) ),
    c_0_1463,
    [final] ).

cnf(c_0_2028,plain,
    ( image_pname_pname(cOMBK_pname_pname(X1),X2) = insert_pname(X1,bot_bo844097828e_bool)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2)) ),
    c_0_1464,
    [final] ).

cnf(c_0_2029,plain,
    ( image_70449425e_bool(cOMBK_1706929794_pname(X1),X2) = insert1556680138e_bool(X1,bot_bo535777328l_bool)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2)) ),
    c_0_1465,
    [final] ).

cnf(c_0_2030,plain,
    ( image_47868345e_bool(cOMBK_37193422_pname(X1),X2) = insert1325755072e_bool(X1,bot_bo1649642514l_bool)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2)) ),
    c_0_1466,
    [final] ).

cnf(c_0_2031,plain,
    ( image_1828608335e_bool(cOMBK_1039769424_state(X1),X2) = insert1556680138e_bool(X1,bot_bo535777328l_bool)
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X2)) ),
    c_0_1467,
    [final] ).

cnf(c_0_2032,plain,
    ( image_2131964411e_bool(cOMBK_2035509764_state(X1),X2) = insert1325755072e_bool(X1,bot_bo1649642514l_bool)
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X2)) ),
    c_0_1468,
    [final] ).

cnf(c_0_2033,plain,
    ( image_54689091_pname(cOMBK_168215364_state(X1),X2) = insert_pname(X1,bot_bo844097828e_bool)
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X2)) ),
    c_0_1469,
    [final] ).

cnf(c_0_2034,plain,
    ( image_2003357581_state(cOMBK_367030522_pname(X1),X2) = insert1415133716_state(X1,bot_bo620288102e_bool)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2)) ),
    c_0_1470,
    [final] ).

cnf(c_0_2035,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X2,X1))) ),
    c_0_1471,
    [final] ).

cnf(c_0_2036,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X2,X1))) ),
    c_0_1472,
    [final] ).

cnf(c_0_2037,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X2,X1))) ),
    c_0_1473,
    [final] ).

cnf(c_0_2038,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X2,X1))) ),
    c_0_1474,
    [final] ).

cnf(c_0_2039,plain,
    ( hBOOL(hAPP_H78829294e_bool(X1,X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),X1)) ),
    c_0_1475,
    [final] ).

cnf(c_0_2040,plain,
    ( hBOOL(hAPP_pname_bool(X1,X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
    c_0_1476,
    [final] ).

cnf(c_0_2041,plain,
    ( X4 = X2
    | X4 = X1
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    c_0_1477,
    [final] ).

cnf(c_0_2042,plain,
    ( X4 = X2
    | X3 = X2
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    c_0_1478,
    [final] ).

cnf(c_0_2043,plain,
    ( X3 = X1
    | X4 = X1
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    c_0_1479,
    [final] ).

cnf(c_0_2044,plain,
    ( X3 = X1
    | X3 = X2
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    c_0_1480,
    [final] ).

cnf(c_0_2045,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,X3)))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | X2 != X1 ),
    c_0_1481,
    [final] ).

cnf(c_0_2046,plain,
    ( hBOOL(hAPP_pname_bool(insert_pname(X2,X3),X1))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_pname_bool(X3,X1)) ),
    c_0_1482,
    [final] ).

cnf(c_0_2047,plain,
    ( insert_pname(X1,X2) = X2
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ is_fun_pname_bool(X2) ),
    c_0_1483,
    [final] ).

cnf(c_0_2048,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,bot_bo844097828e_bool)))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | X2 != X1 ),
    c_0_1484,
    [final] ).

cnf(c_0_2049,plain,
    ( ~ is_fun_pname_bool(X1)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
    | ~ is_pname(X2)
    | X1 != bot_bo844097828e_bool ),
    c_0_1485,
    [final] ).

cnf(c_0_2050,plain,
    ( ~ is_fun1661590463l_bool(X1)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X1))
    | ~ is_fun_pname_bool(X2)
    | X1 != bot_bo1649642514l_bool ),
    c_0_1486,
    [final] ).

cnf(c_0_2051,plain,
    ( ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
    | ~ is_pname(X2) ),
    c_0_1487,
    [final] ).

cnf(c_0_2052,plain,
    ( ~ is_fun1661590463l_bool(X1)
    | X1 != bot_bo1649642514l_bool
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X1))
    | ~ is_fun_pname_bool(X2) ),
    c_0_1488,
    [final] ).

cnf(c_0_2053,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))
    | ~ is_fun_pname_bool(X2)
    | ~ is_fun_pname_bool(X1) ),
    c_0_1489,
    [final] ).

cnf(c_0_2054,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))
    | ~ is_pname(X2)
    | ~ is_pname(X1) ),
    c_0_1490,
    [final] ).

cnf(c_0_2055,plain,
    is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))),
    c_0_1491,
    [final] ).

cnf(c_0_2056,plain,
    ( insert1415133716_state(X1,X2) = X2
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
    c_0_1492,
    [final] ).

cnf(c_0_2057,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3)))
    | X1 != X2 ),
    c_0_1493,
    [final] ).

cnf(c_0_2058,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,X3)))
    | X1 != X2 ),
    c_0_1494,
    [final] ).

cnf(c_0_2059,plain,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),insert1556680138e_bool(X2,X3)))
    | X1 != X2 ),
    c_0_1495,
    [final] ).

cnf(c_0_2060,plain,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),insert1325755072e_bool(X2,X3)))
    | X1 != X2 ),
    c_0_1496,
    [final] ).

cnf(c_0_2061,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3)))
    | X1 != X2 ),
    c_0_1497,
    [final] ).

cnf(c_0_2062,plain,
    ( hBOOL(X1)
    | ~ hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X2),X1)) ),
    c_0_1498,
    [final] ).

cnf(c_0_2063,plain,
    ( hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X1,X2),X3))
    | ~ hBOOL(hAPP_H78829294e_bool(X2,X3)) ),
    c_0_1499,
    [final] ).

cnf(c_0_2064,plain,
    ( hBOOL(X1)
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X2),X1)) ),
    c_0_1500,
    [final] ).

cnf(c_0_2065,plain,
    hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),insert1415133716_state(X2,X1))),
    c_0_1501,
    [final] ).

cnf(c_0_2066,plain,
    hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X2,X1))),
    c_0_1502,
    [final] ).

cnf(c_0_2067,plain,
    hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X1,X2))),
    c_0_1503,
    [final] ).

cnf(c_0_2068,plain,
    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X1,X2))),
    c_0_1504,
    [final] ).

cnf(c_0_2069,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,bot_bo620288102e_bool)))
    | X1 != X2 ),
    c_0_1505,
    [final] ).

cnf(c_0_2070,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X2),X1)) ),
    c_0_1506,
    [final] ).

cnf(c_0_2071,plain,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2)) ),
    c_0_1507,
    [final] ).

cnf(c_0_2072,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_H78829294e_bool(X2,X1)) ),
    c_0_1508,
    [final] ).

cnf(c_0_2073,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_pname_bool(X2,X1)) ),
    c_0_1509,
    [final] ).

cnf(c_0_2074,plain,
    ( X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool)) ),
    c_0_1510,
    [final] ).

cnf(c_0_2075,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2)) ),
    c_0_1511,
    [final] ).

cnf(c_0_2076,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
    c_0_1512,
    [final] ).

cnf(c_0_2077,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    c_0_1513,
    [final] ).

cnf(c_0_2078,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    c_0_1514,
    [final] ).

cnf(c_0_2079,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
    c_0_1515,
    [final] ).

cnf(c_0_2080,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2)) ),
    c_0_1516,
    [final] ).

cnf(c_0_2081,plain,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,insert203537868l_bool(X1,X2)))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X2)) ),
    c_0_1517,
    [final] ).

cnf(c_0_2082,plain,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,insert1117693814l_bool(X1,X2)))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X2)) ),
    c_0_1518,
    [final] ).

cnf(c_0_2083,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    c_0_1519,
    [final] ).

cnf(c_0_2084,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    c_0_1520,
    [final] ).

cnf(c_0_2085,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    c_0_1521,
    [final] ).

cnf(c_0_2086,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_54689091_pname(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    c_0_1522,
    [final] ).

cnf(c_0_2087,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_2131964411e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    c_0_1523,
    [final] ).

cnf(c_0_2088,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_1828608335e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    c_0_1524,
    [final] ).

cnf(c_0_2089,plain,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_1761575943l_bool(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    c_0_1525,
    [final] ).

cnf(c_0_2090,plain,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1210605179l_bool(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    c_0_1526,
    [final] ).

cnf(c_0_2091,plain,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    c_0_1527,
    [final] ).

cnf(c_0_2092,plain,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_70449425e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    c_0_1528,
    [final] ).

cnf(c_0_2093,plain,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_288317893l_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    c_0_1529,
    [final] ).

cnf(c_0_2094,plain,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1642285373l_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    c_0_1530,
    [final] ).

cnf(c_0_2095,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_516545147_state(X1,X2)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
    c_0_1531,
    [final] ).

cnf(c_0_2096,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_18964633_state(X1,X2)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2)) ),
    c_0_1532,
    [final] ).

cnf(c_0_2097,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_892968839_state(X1,X2)))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X2)) ),
    c_0_1533,
    [final] ).

cnf(c_0_2098,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_677922117_state(X1,X2)))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X2)) ),
    c_0_1534,
    [final] ).

cnf(c_0_2099,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X1,X2)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
    c_0_1535,
    [final] ).

cnf(c_0_2100,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_187965177_pname(X1,X2)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2)) ),
    c_0_1536,
    [final] ).

cnf(c_0_2101,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1619336331_pname(X1,X2)))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X2)) ),
    c_0_1537,
    [final] ).

cnf(c_0_2102,plain,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1705983821_pname(X1,X2)))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X2)) ),
    c_0_1538,
    [final] ).

cnf(c_0_2103,plain,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_2003357581_state(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    c_0_1539,
    [final] ).

cnf(c_0_2104,plain,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | X2 != bot_bo620288102e_bool ),
    c_0_1540,
    [final] ).

cnf(c_0_2105,plain,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
    | X2 != bot_bo535777328l_bool ),
    c_0_1541,
    [final] ).

cnf(c_0_2106,plain,
    ( X1 != bot_bo620288102e_bool
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),X1)) ),
    c_0_1542,
    [final] ).

cnf(c_0_2107,plain,
    ( X1 != bot_bo535777328l_bool
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X2),X1)) ),
    c_0_1543,
    [final] ).

cnf(c_0_2108,plain,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | X2 != bot_bo844097828e_bool ),
    c_0_1544,
    [final] ).

cnf(c_0_2109,plain,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | X2 != bot_bo620288102e_bool ),
    c_0_1545,
    [final] ).

cnf(c_0_2110,plain,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
    | X2 != bot_bo535777328l_bool ),
    c_0_1546,
    [final] ).

cnf(c_0_2111,plain,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
    | X2 != bot_bo1649642514l_bool ),
    c_0_1547,
    [final] ).

cnf(c_0_2112,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X1),X2)) ),
    c_0_1548,
    [final] ).

cnf(c_0_2113,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X1),X2)) ),
    c_0_1549,
    [final] ).

cnf(c_0_2114,plain,
    ( X1 = X3
    | X1 = X4
    | insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool)) ),
    c_0_1550,
    [final] ).

cnf(c_0_2115,plain,
    ( X1 = X3
    | X2 = X3
    | insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool)) ),
    c_0_1551,
    [final] ).

cnf(c_0_2116,plain,
    ( X2 = X4
    | X1 = X4
    | insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool)) ),
    c_0_1552,
    [final] ).

cnf(c_0_2117,plain,
    ( X2 = X4
    | X2 = X3
    | insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool)) ),
    c_0_1553,
    [final] ).

cnf(c_0_2118,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),dom_pname_com(X2)))
    | hAPP_p799580910on_com(X2,X1) != some_com(X3) ),
    c_0_1554,
    [final] ).

cnf(c_0_2119,plain,
    ( X1 = bot_bo620288102e_bool
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),bot_bo620288102e_bool)) ),
    c_0_1555,
    [final] ).

cnf(c_0_2120,plain,
    ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)),
    c_0_1556,
    [final] ).

cnf(c_0_2121,plain,
    ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),bot_bo620288102e_bool)),
    c_0_1557,
    [final] ).

cnf(c_0_2122,plain,
    ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),bot_bo535777328l_bool)),
    c_0_1558,
    [final] ).

cnf(c_0_2123,plain,
    ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),bot_bo1649642514l_bool)),
    c_0_1559,
    [final] ).

cnf(c_0_2124,plain,
    ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)),
    c_0_1560,
    [final] ).

cnf(c_0_2125,plain,
    ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),bot_bo535777328l_bool)),
    c_0_1561,
    [final] ).

cnf(c_0_2126,plain,
    ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),bot_bo1649642514l_bool)),
    c_0_1562,
    [final] ).

cnf(c_0_2127,plain,
    ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),bot_bo620288102e_bool)),
    c_0_1563,
    [final] ).

cnf(c_0_2128,plain,
    ( hAPP_p799580910on_com(body,X1) = some_com(esk33_1(X1))
    | ~ hBOOL(wt(hAPP_pname_com(body_1,X1))) ),
    c_0_1564,
    [final] ).

cnf(c_0_2129,plain,
    ( insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) = insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | X3 != X1
    | X4 != X2 ),
    c_0_1565,
    [final] ).

cnf(c_0_2130,plain,
    ( insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) = insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | X3 != X2
    | X4 != X1 ),
    c_0_1566,
    [final] ).

cnf(c_0_2131,plain,
    ( X1 = bot_bo844097828e_bool
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk20_1(X1)),X1))
    | ~ is_fun_pname_bool(X1) ),
    c_0_1567,
    [final] ).

cnf(c_0_2132,plain,
    ( X1 = bot_bo1649642514l_bool
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk17_1(X1)),X1))
    | ~ is_fun1661590463l_bool(X1) ),
    c_0_1568,
    [final] ).

cnf(c_0_2133,plain,
    ( X1 = bot_bo844097828e_bool
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk16_1(X1)),X1))
    | ~ is_fun_pname_bool(X1) ),
    c_0_1569,
    [final] ).

cnf(c_0_2134,plain,
    ( X1 = bot_bo1649642514l_bool
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk13_1(X1)),X1))
    | ~ is_fun1661590463l_bool(X1) ),
    c_0_1570,
    [final] ).

cnf(c_0_2135,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | is_pname(esk34_2(X2,X1)) ),
    c_0_1571,
    [final] ).

cnf(c_0_2136,plain,
    hAPP_bool_bool(hAPP_f2143399574l_bool(X1,X3),hAPP_f166538662l_bool(X2,X3)) = hAPP_f166538662l_bool(cOMBS_1358309691l_bool(X1,X2),X3),
    c_0_1572,
    [final] ).

cnf(c_0_2137,plain,
    hAPP_bool_bool(hAPP_f637090980l_bool(X1,X3),hAPP_f971112728l_bool(X2,X3)) = hAPP_f971112728l_bool(cOMBS_2066081387l_bool(X1,X2),X3),
    c_0_1573,
    [final] ).

cnf(c_0_2138,plain,
    hAPP_bool_bool(hAPP_f32027384l_bool(X1,X3),hAPP_f1935102916l_bool(X2,X3)) = hAPP_f1935102916l_bool(cOMBS_811933079l_bool(X1,X2),X3),
    c_0_1574,
    [final] ).

cnf(c_0_2139,plain,
    hAPP_bool_bool(hAPP_H1187982158l_bool(X1,X3),hAPP_H78829294e_bool(X2,X3)) = hAPP_H78829294e_bool(cOMBS_458705923l_bool(X1,X2),X3),
    c_0_1575,
    [final] ).

cnf(c_0_2140,plain,
    hAPP_bool_bool(hAPP_f1476298914l_bool(X1,X3),hAPP_f1664156314l_bool(X2,X3)) = hAPP_f1664156314l_bool(cOMBS_350070575l_bool(X1,X2),X3),
    c_0_1576,
    [final] ).

cnf(c_0_2141,plain,
    hAPP_bool_bool(hAPP_p393069232l_bool(X1,X3),hAPP_pname_bool(X2,X3)) = hAPP_pname_bool(cOMBS_568398431l_bool(X1,X2),X3),
    c_0_1577,
    [final] ).

cnf(c_0_2142,plain,
    insert1415133716_state(hAPP_p1422361149_state(X1,X2),image_2003357581_state(X1,X3)) = image_2003357581_state(X1,insert_pname(X2,X3)),
    c_0_1578,
    [final] ).

cnf(c_0_2143,plain,
    ( X1 = bot_bo620288102e_bool
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk19_1(X1)),X1)) ),
    c_0_1579,
    [final] ).

cnf(c_0_2144,plain,
    ( X1 = bot_bo535777328l_bool
    | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,esk18_1(X1)),X1)) ),
    c_0_1580,
    [final] ).

cnf(c_0_2145,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk15_1(X1)),X1))
    | X1 = bot_bo620288102e_bool ),
    c_0_1581,
    [final] ).

cnf(c_0_2146,plain,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,esk14_1(X1)),X1))
    | X1 = bot_bo535777328l_bool ),
    c_0_1582,
    [final] ).

cnf(c_0_2147,plain,
    ( hBOOL(hAPP_pname_bool(insert_pname(X2,X3),X1))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | X2 != X1 ),
    c_0_1583,
    [final] ).

cnf(c_0_2148,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
    | ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | X2 != X1 ),
    c_0_1584,
    [final] ).

cnf(c_0_2149,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | X2 != X1 ),
    c_0_1585,
    [final] ).

cnf(c_0_2150,plain,
    hAPP_f468958928l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(X1),X2),X3) = hAPP_f468958928l_bool(hAPP_f667366769l_bool(X1,X3),X2),
    c_0_1586,
    [final] ).

cnf(c_0_2151,plain,
    hAPP_f166538662l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(X1),X2),X3) = hAPP_f166538662l_bool(hAPP_f585161855l_bool(X1,X3),X2),
    c_0_1587,
    [final] ).

cnf(c_0_2152,plain,
    hAPP_f971112728l_bool(hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(X1),X2),X3) = hAPP_f166538662l_bool(hAPP_f210337421l_bool(X1,X3),X2),
    c_0_1588,
    [final] ).

cnf(c_0_2153,plain,
    hAPP_f389811538l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(X1),X2),X3) = hAPP_f389811538l_bool(hAPP_f1759205631l_bool(X1,X3),X2),
    c_0_1589,
    [final] ).

cnf(c_0_2154,plain,
    hAPP_f971112728l_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(X1),X2),X3) = hAPP_f971112728l_bool(hAPP_f72706945l_bool(X1,X3),X2),
    c_0_1590,
    [final] ).

cnf(c_0_2155,plain,
    hAPP_H78829294e_bool(hAPP_f98417237e_bool(cOMBC_1734175330l_bool(X1),X2),X3) = hAPP_f971112728l_bool(hAPP_H30606679l_bool(X1,X3),X2),
    c_0_1591,
    [final] ).

cnf(c_0_2156,plain,
    hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(X1),X2),X3) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(X1,X3),X2),
    c_0_1592,
    [final] ).

cnf(c_0_2157,plain,
    hAPP_H78829294e_bool(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(X1),X2),X3) = hAPP_H78829294e_bool(hAPP_H1049623551e_bool(X1,X3),X2),
    c_0_1593,
    [final] ).

cnf(c_0_2158,plain,
    hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(X1),X2),X3) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(X1,X3),X2),
    c_0_1594,
    [final] ).

cnf(c_0_2159,plain,
    hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(X1),X2),X3) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(X1,X3),X2),
    c_0_1595,
    [final] ).

cnf(c_0_2160,plain,
    hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(X1),X2),X3) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(X1,X3),X2),
    c_0_1596,
    [final] ).

cnf(c_0_2161,plain,
    hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(X1),X2),X3) = hAPP_pname_bool(hAPP_p61793385e_bool(X1,X3),X2),
    c_0_1597,
    [final] ).

cnf(c_0_2162,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))
    | ~ hBOOL(X2)
    | ~ hBOOL(X1) ),
    c_0_1598,
    [final] ).

cnf(c_0_2163,plain,
    ( hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X1,X2),X3))
    | X1 != X3 ),
    c_0_1599,
    [final] ).

cnf(c_0_2164,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2))
    | ~ hBOOL(X2) ),
    c_0_1600,
    [final] ).

cnf(c_0_2165,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2))
    | ~ hBOOL(X2) ),
    c_0_1601,
    [final] ).

cnf(c_0_2166,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2))
    | ~ hBOOL(X1) ),
    c_0_1602,
    [final] ).

cnf(c_0_2167,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    c_0_1603,
    [final] ).

cnf(c_0_2168,plain,
    ( insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) = insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool))
    | X2 != X4
    | X1 != X3 ),
    c_0_1604,
    [final] ).

cnf(c_0_2169,plain,
    ( insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) = insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool))
    | X2 != X3
    | X1 != X4 ),
    c_0_1605,
    [final] ).

cnf(c_0_2170,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2))
    | hBOOL(X1) ),
    c_0_1606,
    [final] ).

cnf(c_0_2171,plain,
    hAPP_f2143399574l_bool(cOMBB_404111180l_bool(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f166538662l_bool(X2,X3)),
    c_0_1607,
    [final] ).

cnf(c_0_2172,plain,
    hAPP_f637090980l_bool(cOMBB_1585081418e_bool(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f971112728l_bool(X2,X3)),
    c_0_1608,
    [final] ).

cnf(c_0_2173,plain,
    hAPP_f32027384l_bool(cOMBB_689948150l_bool(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f1935102916l_bool(X2,X3)),
    c_0_1609,
    [final] ).

cnf(c_0_2174,plain,
    hAPP_H1187982158l_bool(cOMBB_962198420_state(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_H78829294e_bool(X2,X3)),
    c_0_1610,
    [final] ).

cnf(c_0_2175,plain,
    hAPP_f971112728l_bool(cOMBB_1522210668e_bool(X1,X2),X3) = hAPP_bool_bool(X1,hAPP_f971112728l_bool(X2,X3)),
    c_0_1611,
    [final] ).

cnf(c_0_2176,plain,
    hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f1664156314l_bool(X2,X3)),
    c_0_1612,
    [final] ).

cnf(c_0_2177,plain,
    hAPP_H78829294e_bool(cOMBB_2144135922_state(X1,X2),X3) = hAPP_bool_bool(X1,hAPP_H78829294e_bool(X2,X3)),
    c_0_1613,
    [final] ).

cnf(c_0_2178,plain,
    hAPP_p1422361149_state(cOMBB_699532858_pname(X1,X2),X3) = hAPP_c1126217667_state(X1,hAPP_pname_com(X2,X3)),
    c_0_1614,
    [final] ).

cnf(c_0_2179,plain,
    hAPP_p393069232l_bool(cOMBB_675860798_pname(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_pname_bool(X2,X3)),
    c_0_1615,
    [final] ).

cnf(c_0_2180,plain,
    hAPP_f1664156314l_bool(cOMBB_307249310e_bool(X1,X2),X3) = hAPP_bool_bool(X1,hAPP_f1664156314l_bool(X2,X3)),
    c_0_1616,
    [final] ).

cnf(c_0_2181,plain,
    hAPP_option_com_com(X1,hAPP_p799580910on_com(X2,X3)) = hAPP_pname_com(cOMBB_923936821_pname(X1,X2),X3),
    c_0_1617,
    [final] ).

cnf(c_0_2182,plain,
    hAPP_bool_bool(X1,hAPP_pname_bool(X2,X3)) = hAPP_pname_bool(cOMBB_647938656_pname(X1,X2),X3),
    c_0_1618,
    [final] ).

cnf(c_0_2183,plain,
    insert1415133716_state(X1,insert1415133716_state(X2,X3)) = insert1415133716_state(X2,insert1415133716_state(X1,X3)),
    c_0_1619,
    [final] ).

cnf(c_0_2184,plain,
    insert_pname(X1,insert_pname(X2,X3)) = insert_pname(X2,insert_pname(X1,X3)),
    c_0_1620,
    [final] ).

cnf(c_0_2185,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X1),X2))
    | X1 != X2 ),
    c_0_1621,
    [final] ).

cnf(c_0_2186,plain,
    ( hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X1),X2))
    | X1 != X2 ),
    c_0_1622,
    [final] ).

cnf(c_0_2187,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))
    | X1 != X2 ),
    c_0_1623,
    [final] ).

cnf(c_0_2188,plain,
    ( hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))
    | X1 != X2 ),
    c_0_1624,
    [final] ).

cnf(c_0_2189,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | X1 != X2 ),
    c_0_1625,
    [final] ).

cnf(c_0_2190,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1))
    | X1 != X2 ),
    c_0_1626,
    [final] ).

cnf(c_0_2191,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | X1 != X2 ),
    c_0_1627,
    [final] ).

cnf(c_0_2192,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | X1 != X2 ),
    c_0_1628,
    [final] ).

cnf(c_0_2193,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | X2 != X1 ),
    c_0_1629,
    [final] ).

cnf(c_0_2194,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | X2 != X1 ),
    c_0_1630,
    [final] ).

cnf(c_0_2195,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | X1 != X2 ),
    c_0_1631,
    [final] ).

cnf(c_0_2196,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1))
    | X1 != X2 ),
    c_0_1632,
    [final] ).

cnf(c_0_2197,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | X1 != X2 ),
    c_0_1633,
    [final] ).

cnf(c_0_2198,plain,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
    | X1 != X2 ),
    c_0_1634,
    [final] ).

cnf(c_0_2199,plain,
    hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X1)),
    c_0_1635,
    [final] ).

cnf(c_0_2200,plain,
    hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)),
    c_0_1636,
    [final] ).

cnf(c_0_2201,plain,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),bot_bo620288102e_bool))
    | X1 != bot_bo620288102e_bool ),
    c_0_1637,
    [final] ).

cnf(c_0_2202,plain,
    hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X1)),
    c_0_1638,
    [final] ).

cnf(c_0_2203,plain,
    hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,bot_bo535777328l_bool),X1)),
    c_0_1639,
    [final] ).

cnf(c_0_2204,plain,
    hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,bot_bo1649642514l_bool),X1)),
    c_0_1640,
    [final] ).

cnf(c_0_2205,plain,
    hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,bot_bo620288102e_bool),X1)),
    c_0_1641,
    [final] ).

cnf(c_0_2206,plain,
    ( ~ hBOOL(hAPP_pname_bool(X1,X2))
    | ~ is_pname(X2)
    | collect_pname(X1) != bot_bo844097828e_bool ),
    c_0_1642,
    [final] ).

cnf(c_0_2207,plain,
    ( ~ hBOOL(hAPP_f1664156314l_bool(X1,X2))
    | ~ is_fun_pname_bool(X2)
    | collec1974731493e_bool(X1) != bot_bo1649642514l_bool ),
    c_0_1643,
    [final] ).

cnf(c_0_2208,plain,
    ( ~ hBOOL(hAPP_f1935102916l_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2)
    | collec1613912337l_bool(X1) != bot_bo1537088220l_bool ),
    c_0_1644,
    [final] ).

cnf(c_0_2209,plain,
    ( ~ hBOOL(hAPP_pname_bool(X1,X2))
    | ~ is_pname(X2)
    | collect_pname(X1) != bot_bo844097828e_bool ),
    c_0_1645,
    [final] ).

cnf(c_0_2210,plain,
    ( ~ hBOOL(hAPP_f1664156314l_bool(X1,X2))
    | ~ is_fun_pname_bool(X2)
    | collec1974731493e_bool(X1) != bot_bo1649642514l_bool ),
    c_0_1646,
    [final] ).

cnf(c_0_2211,plain,
    ( ~ hBOOL(hAPP_f1935102916l_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2)
    | collec1613912337l_bool(X1) != bot_bo1537088220l_bool ),
    c_0_1647,
    [final] ).

cnf(c_0_2212,plain,
    ( X2 = X1
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | hAPP_pname_com(body_1,X2) != hAPP_pname_com(body_1,X1) ),
    c_0_1648,
    [final] ).

cnf(c_0_2213,plain,
    ( X1 = X2
    | insert_pname(X1,bot_bo844097828e_bool) != insert_pname(X2,bot_bo844097828e_bool)
    | ~ is_pname(X2)
    | ~ is_pname(X1) ),
    c_0_1649,
    [final] ).

cnf(c_0_2214,plain,
    ( ~ hBOOL(hAPP_H78829294e_bool(X1,X2))
    | collec307967673_state(X1) != bot_bo620288102e_bool ),
    c_0_1650,
    [final] ).

cnf(c_0_2215,plain,
    ( ~ hBOOL(hAPP_f971112728l_bool(X1,X2))
    | collec1823980261e_bool(X1) != bot_bo535777328l_bool ),
    c_0_1651,
    [final] ).

cnf(c_0_2216,plain,
    ( ~ hBOOL(hAPP_f166538662l_bool(X1,X2))
    | collec488126193l_bool(X1) != bot_bo1761158942l_bool ),
    c_0_1652,
    [final] ).

cnf(c_0_2217,plain,
    ( ~ hBOOL(hAPP_H78829294e_bool(X1,X2))
    | collec307967673_state(X1) != bot_bo620288102e_bool ),
    c_0_1653,
    [final] ).

cnf(c_0_2218,plain,
    ( ~ hBOOL(hAPP_f971112728l_bool(X1,X2))
    | collec1823980261e_bool(X1) != bot_bo535777328l_bool ),
    c_0_1654,
    [final] ).

cnf(c_0_2219,plain,
    ( ~ hBOOL(hAPP_f166538662l_bool(X1,X2))
    | collec488126193l_bool(X1) != bot_bo1761158942l_bool ),
    c_0_1655,
    [final] ).

cnf(c_0_2220,plain,
    insert1415133716_state(X1,insert1415133716_state(X1,X2)) = insert1415133716_state(X1,X2),
    c_0_1656,
    [final] ).

cnf(c_0_2221,plain,
    insert_pname(X1,insert_pname(X1,X2)) = insert_pname(X1,X2),
    c_0_1657,
    [final] ).

cnf(c_0_2222,plain,
    ( insert1556680138e_bool(X1,dom_fu1342267980ol_com(X2)) = dom_fu1342267980ol_com(X2)
    | hAPP_f2134636538on_com(X2,X1) != some_com(X3) ),
    c_0_1658,
    [final] ).

cnf(c_0_2223,plain,
    ( insert1325755072e_bool(X1,dom_fu2081503504ol_com(X2)) = dom_fu2081503504ol_com(X2)
    | hAPP_f2138803836on_com(X2,X1) != some_com(X3) ),
    c_0_1659,
    [final] ).

cnf(c_0_2224,plain,
    ( insert_pname(X1,dom_pname_com(X2)) = dom_pname_com(X2)
    | hAPP_p799580910on_com(X2,X1) != some_com(X3) ),
    c_0_1660,
    [final] ).

cnf(c_0_2225,plain,
    ( ~ hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(fNot,X1)) ),
    c_0_1661,
    [final] ).

cnf(c_0_2226,plain,
    is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))),
    c_0_1662,
    [final] ).

cnf(c_0_2227,plain,
    collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)) = insert1556680138e_bool(X1,bot_bo535777328l_bool),
    c_0_1663,
    [final] ).

cnf(c_0_2228,plain,
    collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)) = insert1325755072e_bool(X1,bot_bo1649642514l_bool),
    c_0_1664,
    [final] ).

cnf(c_0_2229,plain,
    collec307967673_state(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)) = insert1415133716_state(X1,bot_bo620288102e_bool),
    c_0_1665,
    [final] ).

cnf(c_0_2230,plain,
    collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)) = insert_pname(X1,bot_bo844097828e_bool),
    c_0_1666,
    [final] ).

cnf(c_0_2231,plain,
    ( collect_pname(X1) = bot_bo844097828e_bool
    | hBOOL(hAPP_pname_bool(X1,esk12_1(X1))) ),
    c_0_1667,
    [final] ).

cnf(c_0_2232,plain,
    ( collec307967673_state(X1) = bot_bo620288102e_bool
    | hBOOL(hAPP_H78829294e_bool(X1,esk11_1(X1))) ),
    c_0_1668,
    [final] ).

cnf(c_0_2233,plain,
    ( collec1974731493e_bool(X1) = bot_bo1649642514l_bool
    | hBOOL(hAPP_f1664156314l_bool(X1,esk10_1(X1))) ),
    c_0_1669,
    [final] ).

cnf(c_0_2234,plain,
    ( collec1823980261e_bool(X1) = bot_bo535777328l_bool
    | hBOOL(hAPP_f971112728l_bool(X1,esk9_1(X1))) ),
    c_0_1670,
    [final] ).

cnf(c_0_2235,plain,
    ( collec488126193l_bool(X1) = bot_bo1761158942l_bool
    | hBOOL(hAPP_f166538662l_bool(X1,esk8_1(X1))) ),
    c_0_1671,
    [final] ).

cnf(c_0_2236,plain,
    ( collec1613912337l_bool(X1) = bot_bo1537088220l_bool
    | hBOOL(hAPP_f1935102916l_bool(X1,esk7_1(X1))) ),
    c_0_1672,
    [final] ).

cnf(c_0_2237,plain,
    ( collect_pname(X1) = bot_bo844097828e_bool
    | hBOOL(hAPP_pname_bool(X1,esk6_1(X1))) ),
    c_0_1673,
    [final] ).

cnf(c_0_2238,plain,
    ( collec307967673_state(X1) = bot_bo620288102e_bool
    | hBOOL(hAPP_H78829294e_bool(X1,esk5_1(X1))) ),
    c_0_1674,
    [final] ).

cnf(c_0_2239,plain,
    ( collec1974731493e_bool(X1) = bot_bo1649642514l_bool
    | hBOOL(hAPP_f1664156314l_bool(X1,esk4_1(X1))) ),
    c_0_1675,
    [final] ).

cnf(c_0_2240,plain,
    ( collec1823980261e_bool(X1) = bot_bo535777328l_bool
    | hBOOL(hAPP_f971112728l_bool(X1,esk3_1(X1))) ),
    c_0_1676,
    [final] ).

cnf(c_0_2241,plain,
    ( collec488126193l_bool(X1) = bot_bo1761158942l_bool
    | hBOOL(hAPP_f166538662l_bool(X1,esk2_1(X1))) ),
    c_0_1677,
    [final] ).

cnf(c_0_2242,plain,
    ( collec1613912337l_bool(X1) = bot_bo1537088220l_bool
    | hBOOL(hAPP_f1935102916l_bool(X1,esk1_1(X1))) ),
    c_0_1678,
    [final] ).

cnf(c_0_2243,plain,
    ( is_bool(hAPP_f1664156314l_bool(X1,X2))
    | ~ is_fun_pname_bool(X2)
    | ~ is_fun1661590463l_bool(X1) ),
    c_0_1679,
    [final] ).

cnf(c_0_2244,plain,
    ( is_bool(hAPP_pname_bool(X1,X2))
    | ~ is_pname(X2)
    | ~ is_fun_pname_bool(X1) ),
    c_0_1680,
    [final] ).

cnf(c_0_2245,plain,
    ( is_fun1661590463l_bool(insert1325755072e_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2)
    | ~ is_fun_pname_bool(X1) ),
    c_0_1681,
    [final] ).

cnf(c_0_2246,plain,
    ( is_fun_pname_bool(insert_pname(X1,X2))
    | ~ is_fun_pname_bool(X2)
    | ~ is_pname(X1) ),
    c_0_1682,
    [final] ).

cnf(c_0_2247,plain,
    ( hAPP_pname_com(body_1,X2) = hAPP_pname_com(body_1,X1)
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | X2 != X1 ),
    c_0_1683,
    [final] ).

cnf(c_0_2248,plain,
    ( hBOOL(wt(X1))
    | hAPP_p799580910on_com(body,X2) != some_com(X1)
    | ~ hBOOL(wT_bodies) ),
    c_0_1684,
    [final] ).

cnf(c_0_2249,plain,
    ( X1 = X2
    | insert1415133716_state(X1,bot_bo620288102e_bool) != insert1415133716_state(X2,bot_bo620288102e_bool) ),
    c_0_1685,
    [final] ).

cnf(c_0_2250,plain,
    ( image_1283814551_pname(cOMBK_948730864e_bool(X2),X1) = insert_pname(X2,bot_bo844097828e_bool)
    | X1 = bot_bo1649642514l_bool
    | ~ is_fun1661590463l_bool(X1) ),
    c_0_1686,
    [final] ).

cnf(c_0_2251,plain,
    ( image_516545147_state(cOMBK_1503445380e_bool(X2),X1) = insert1415133716_state(X2,bot_bo620288102e_bool)
    | X1 = bot_bo1649642514l_bool
    | ~ is_fun1661590463l_bool(X1) ),
    c_0_1687,
    [final] ).

cnf(c_0_2252,plain,
    ( image_pname_pname(cOMBK_pname_pname(X2),X1) = insert_pname(X2,bot_bo844097828e_bool)
    | X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1) ),
    c_0_1688,
    [final] ).

cnf(c_0_2253,plain,
    ( image_70449425e_bool(cOMBK_1706929794_pname(X2),X1) = insert1556680138e_bool(X2,bot_bo535777328l_bool)
    | X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1) ),
    c_0_1689,
    [final] ).

cnf(c_0_2254,plain,
    ( image_47868345e_bool(cOMBK_37193422_pname(X2),X1) = insert1325755072e_bool(X2,bot_bo1649642514l_bool)
    | X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1) ),
    c_0_1690,
    [final] ).

cnf(c_0_2255,plain,
    ( image_2003357581_state(cOMBK_367030522_pname(X2),X1) = insert1415133716_state(X2,bot_bo620288102e_bool)
    | X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1) ),
    c_0_1691,
    [final] ).

cnf(c_0_2256,plain,
    collec1823980261e_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X1)) = insert1556680138e_bool(X1,bot_bo535777328l_bool),
    c_0_1692,
    [final] ).

cnf(c_0_2257,plain,
    collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1)) = insert1325755072e_bool(X1,bot_bo1649642514l_bool),
    c_0_1693,
    [final] ).

cnf(c_0_2258,plain,
    collec307967673_state(hAPP_H1049623551e_bool(fequal1111551311_state,X1)) = insert1415133716_state(X1,bot_bo620288102e_bool),
    c_0_1694,
    [final] ).

cnf(c_0_2259,plain,
    collect_pname(hAPP_p61793385e_bool(fequal_pname,X1)) = insert_pname(X1,bot_bo844097828e_bool),
    c_0_1695,
    [final] ).

cnf(c_0_2260,plain,
    hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),bot_bo620288102e_bool)),
    c_0_1696,
    [final] ).

cnf(c_0_2261,plain,
    ( is_fun1661590463l_bool(hAPP_f559147733l_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2) ),
    c_0_1697,
    [final] ).

cnf(c_0_2262,plain,
    ( is_bool(hAPP_f1935102916l_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2) ),
    c_0_1698,
    [final] ).

cnf(c_0_2263,plain,
    ( is_fun1661590463l_bool(hAPP_f434788991l_bool(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    c_0_1699,
    [final] ).

cnf(c_0_2264,plain,
    ( is_fun_pname_bool(hAPP_f759274231e_bool(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    c_0_1700,
    [final] ).

cnf(c_0_2265,plain,
    ( is_pname(hAPP_f1297739591_pname(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    c_0_1701,
    [final] ).

cnf(c_0_2266,plain,
    ( is_bool(hAPP_bool_bool(X1,X2))
    | ~ is_bool(X2) ),
    c_0_1702,
    [final] ).

cnf(c_0_2267,plain,
    ( is_fun1661590463l_bool(hAPP_p338031245l_bool(X1,X2))
    | ~ is_pname(X2) ),
    c_0_1703,
    [final] ).

cnf(c_0_2268,plain,
    ( is_fun_pname_bool(hAPP_p61793385e_bool(X1,X2))
    | ~ is_pname(X2) ),
    c_0_1704,
    [final] ).

cnf(c_0_2269,plain,
    ( is_pname(hAPP_pname_pname(X1,X2))
    | ~ is_pname(X2) ),
    c_0_1705,
    [final] ).

cnf(c_0_2270,plain,
    ( is_fun_pname_bool(image_1283814551_pname(X1,X2))
    | ~ is_fun1661590463l_bool(X2) ),
    c_0_1706,
    [final] ).

cnf(c_0_2271,plain,
    ( is_fun1661590463l_bool(image_47868345e_bool(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    c_0_1707,
    [final] ).

cnf(c_0_2272,plain,
    ( is_fun_pname_bool(image_pname_pname(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    c_0_1708,
    [final] ).

cnf(c_0_2273,plain,
    ( is_fun1661590463l_bool(cOMBS_350070575l_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2) ),
    c_0_1709,
    [final] ).

cnf(c_0_2274,plain,
    ( is_fun_pname_bool(cOMBS_568398431l_bool(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    c_0_1710,
    [final] ).

cnf(c_0_2275,plain,
    ( is_fun1661590463l_bool(cOMBB_307249310e_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2) ),
    c_0_1711,
    [final] ).

cnf(c_0_2276,plain,
    ( is_fun_pname_bool(cOMBB_647938656_pname(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    c_0_1712,
    [final] ).

cnf(c_0_2277,plain,
    ( image_187965177_pname(cOMBK_1589414042e_bool(X1),X2) = insert_pname(X1,bot_bo844097828e_bool)
    | X2 = bot_bo535777328l_bool ),
    c_0_1713,
    [final] ).

cnf(c_0_2278,plain,
    ( image_18964633_state(cOMBK_701929478e_bool(X1),X2) = insert1415133716_state(X1,bot_bo620288102e_bool)
    | X2 = bot_bo535777328l_bool ),
    c_0_1714,
    [final] ).

cnf(c_0_2279,plain,
    ( image_1828608335e_bool(cOMBK_1039769424_state(X1),X2) = insert1556680138e_bool(X1,bot_bo535777328l_bool)
    | X2 = bot_bo620288102e_bool ),
    c_0_1715,
    [final] ).

cnf(c_0_2280,plain,
    ( image_2131964411e_bool(cOMBK_2035509764_state(X1),X2) = insert1325755072e_bool(X1,bot_bo1649642514l_bool)
    | X2 = bot_bo620288102e_bool ),
    c_0_1716,
    [final] ).

cnf(c_0_2281,plain,
    ( image_54689091_pname(cOMBK_168215364_state(X1),X2) = insert_pname(X1,bot_bo844097828e_bool)
    | X2 = bot_bo620288102e_bool ),
    c_0_1717,
    [final] ).

cnf(c_0_2282,plain,
    hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,dom_pname_com(body))),
    c_0_1718,
    [final] ).

cnf(c_0_2283,plain,
    ( hBOOL(hAPP_bool_bool(fNot,X1))
    | hBOOL(X1) ),
    c_0_1719,
    [final] ).

cnf(c_0_2284,plain,
    ( X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | image_2003357581_state(X2,X1) != bot_bo620288102e_bool ),
    c_0_1720,
    [final] ).

cnf(c_0_2285,plain,
    ( X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | image_2003357581_state(X2,X1) != bot_bo620288102e_bool ),
    c_0_1721,
    [final] ).

cnf(c_0_2286,plain,
    is_bool(hAPP_f1022807134l_bool(X1,X2)),
    c_0_1722,
    [final] ).

cnf(c_0_2287,plain,
    is_bool(hAPP_f595608956l_bool(X1,X2)),
    c_0_1723,
    [final] ).

cnf(c_0_2288,plain,
    is_bool(hAPP_f468958928l_bool(X1,X2)),
    c_0_1724,
    [final] ).

cnf(c_0_2289,plain,
    is_bool(hAPP_f389811538l_bool(X1,X2)),
    c_0_1725,
    [final] ).

cnf(c_0_2290,plain,
    is_bool(hAPP_f166538662l_bool(X1,X2)),
    c_0_1726,
    [final] ).

cnf(c_0_2291,plain,
    is_pname(hAPP_f560369737_pname(X1,X2)),
    c_0_1727,
    [final] ).

cnf(c_0_2292,plain,
    is_fun_pname_bool(hAPP_H356885323e_bool(X1,X2)),
    c_0_1728,
    [final] ).

cnf(c_0_2293,plain,
    is_bool(hAPP_H78829294e_bool(X1,X2)),
    c_0_1729,
    [final] ).

cnf(c_0_2294,plain,
    is_pname(hAPP_H1621176307_pname(X1,X2)),
    c_0_1730,
    [final] ).

cnf(c_0_2295,plain,
    is_fun_pname_bool(image_1619336331_pname(X1,X2)),
    c_0_1731,
    [final] ).

cnf(c_0_2296,plain,
    is_fun_pname_bool(image_1705983821_pname(X1,X2)),
    c_0_1732,
    [final] ).

cnf(c_0_2297,plain,
    is_fun_pname_bool(image_187965177_pname(X1,X2)),
    c_0_1733,
    [final] ).

cnf(c_0_2298,plain,
    is_fun1661590463l_bool(image_2131964411e_bool(X1,X2)),
    c_0_1734,
    [final] ).

cnf(c_0_2299,plain,
    is_fun_pname_bool(image_54689091_pname(X1,X2)),
    c_0_1735,
    [final] ).

cnf(c_0_2300,plain,
    ( image_1283814551_pname(cOMBK_948730864e_bool(X2),X1) = bot_bo844097828e_bool
    | ~ is_fun1661590463l_bool(X1)
    | X1 != bot_bo1649642514l_bool ),
    c_0_1736,
    [final] ).

cnf(c_0_2301,plain,
    ( image_516545147_state(cOMBK_1503445380e_bool(X2),X1) = bot_bo620288102e_bool
    | ~ is_fun1661590463l_bool(X1)
    | X1 != bot_bo1649642514l_bool ),
    c_0_1737,
    [final] ).

cnf(c_0_2302,plain,
    ( image_pname_pname(cOMBK_pname_pname(X2),X1) = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    c_0_1738,
    [final] ).

cnf(c_0_2303,plain,
    ( image_70449425e_bool(cOMBK_1706929794_pname(X2),X1) = bot_bo535777328l_bool
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    c_0_1739,
    [final] ).

cnf(c_0_2304,plain,
    ( image_47868345e_bool(cOMBK_37193422_pname(X2),X1) = bot_bo1649642514l_bool
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    c_0_1740,
    [final] ).

cnf(c_0_2305,plain,
    ( image_2003357581_state(cOMBK_367030522_pname(X2),X1) = bot_bo620288102e_bool
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    c_0_1741,
    [final] ).

cnf(c_0_2306,plain,
    ( hAPP_f166538662l_bool(cOMBK_482404831l_bool(X1),X2) = X1
    | ~ is_bool(X1) ),
    c_0_1742,
    [final] ).

cnf(c_0_2307,plain,
    ( hAPP_H356885323e_bool(cOMBK_2035509764_state(X1),X2) = X1
    | ~ is_fun_pname_bool(X1) ),
    c_0_1743,
    [final] ).

cnf(c_0_2308,plain,
    ( hAPP_f560369737_pname(cOMBK_1589414042e_bool(X1),X2) = X1
    | ~ is_pname(X1) ),
    c_0_1744,
    [final] ).

cnf(c_0_2309,plain,
    ( hAPP_f971112728l_bool(cOMBK_129401207e_bool(X1),X2) = X1
    | ~ is_bool(X1) ),
    c_0_1745,
    [final] ).

cnf(c_0_2310,plain,
    ( hAPP_H1621176307_pname(cOMBK_168215364_state(X1),X2) = X1
    | ~ is_pname(X1) ),
    c_0_1746,
    [final] ).

cnf(c_0_2311,plain,
    ( hAPP_H78829294e_bool(cOMBK_659609255_state(X1),X2) = X1
    | ~ is_bool(X1) ),
    c_0_1747,
    [final] ).

cnf(c_0_2312,plain,
    ( hAPP_p61793385e_bool(cOMBK_37193422_pname(X1),X2) = X1
    | ~ is_fun_pname_bool(X1) ),
    c_0_1748,
    [final] ).

cnf(c_0_2313,plain,
    ( hAPP_f1297739591_pname(cOMBK_948730864e_bool(X1),X2) = X1
    | ~ is_pname(X1) ),
    c_0_1749,
    [final] ).

cnf(c_0_2314,plain,
    ( hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X1),X2) = X1
    | ~ is_bool(X1) ),
    c_0_1750,
    [final] ).

cnf(c_0_2315,plain,
    ( hAPP_pname_pname(cOMBK_pname_pname(X1),X2) = X1
    | ~ is_pname(X1) ),
    c_0_1751,
    [final] ).

cnf(c_0_2316,plain,
    ( hAPP_pname_bool(cOMBK_bool_pname(X1),X2) = X1
    | ~ is_bool(X1) ),
    c_0_1752,
    [final] ).

cnf(c_0_2317,plain,
    hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)),
    c_0_1753,
    [final] ).

cnf(c_0_2318,plain,
    hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,bot_bo535777328l_bool)),
    c_0_1754,
    [final] ).

cnf(c_0_2319,plain,
    hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,bot_bo1761158942l_bool)),
    c_0_1755,
    [final] ).

cnf(c_0_2320,plain,
    hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,bot_bo1537088220l_bool)),
    c_0_1756,
    [final] ).

cnf(c_0_2321,plain,
    hBOOL(hAPP_f971112728l_bool(finite364844667_state,bot_bo620288102e_bool)),
    c_0_1757,
    [final] ).

cnf(c_0_2322,plain,
    hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)),
    c_0_1758,
    [final] ).

cnf(c_0_2323,plain,
    ( image_2003357581_state(X2,X1) = bot_bo620288102e_bool
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    c_0_1759,
    [final] ).

cnf(c_0_2324,plain,
    ( image_2003357581_state(X2,X1) = bot_bo620288102e_bool
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    c_0_1760,
    [final] ).

cnf(c_0_2325,plain,
    ( image_187965177_pname(cOMBK_1589414042e_bool(X1),X2) = bot_bo844097828e_bool
    | X2 != bot_bo535777328l_bool ),
    c_0_1761,
    [final] ).

cnf(c_0_2326,plain,
    ( image_18964633_state(cOMBK_701929478e_bool(X1),X2) = bot_bo620288102e_bool
    | X2 != bot_bo535777328l_bool ),
    c_0_1762,
    [final] ).

cnf(c_0_2327,plain,
    ( image_1828608335e_bool(cOMBK_1039769424_state(X1),X2) = bot_bo535777328l_bool
    | X2 != bot_bo620288102e_bool ),
    c_0_1763,
    [final] ).

cnf(c_0_2328,plain,
    ( image_2131964411e_bool(cOMBK_2035509764_state(X1),X2) = bot_bo1649642514l_bool
    | X2 != bot_bo620288102e_bool ),
    c_0_1764,
    [final] ).

cnf(c_0_2329,plain,
    ( image_54689091_pname(cOMBK_168215364_state(X1),X2) = bot_bo844097828e_bool
    | X2 != bot_bo620288102e_bool ),
    c_0_1765,
    [final] ).

cnf(c_0_2330,plain,
    insert1415133716_state(X1,X2) != bot_bo620288102e_bool,
    c_0_1766,
    [final] ).

cnf(c_0_2331,plain,
    insert_pname(X1,X2) != bot_bo844097828e_bool,
    c_0_1767,
    [final] ).

cnf(c_0_2332,plain,
    insert1415133716_state(X1,X2) != bot_bo620288102e_bool,
    c_0_1768,
    [final] ).

cnf(c_0_2333,plain,
    insert_pname(X1,X2) != bot_bo844097828e_bool,
    c_0_1769,
    [final] ).

cnf(c_0_2334,plain,
    hAPP_H1049623551e_bool(cOMBK_1039769424_state(X1),X2) = X1,
    c_0_1770,
    [final] ).

cnf(c_0_2335,plain,
    hAPP_f1387463497_state(cOMBK_701929478e_bool(X1),X2) = X1,
    c_0_1771,
    [final] ).

cnf(c_0_2336,plain,
    hAPP_p442853985e_bool(cOMBK_1706929794_pname(X1),X2) = X1,
    c_0_1772,
    [final] ).

cnf(c_0_2337,plain,
    hAPP_f888949707_state(cOMBK_1503445380e_bool(X1),X2) = X1,
    c_0_1773,
    [final] ).

cnf(c_0_2338,plain,
    hAPP_p1422361149_state(cOMBK_367030522_pname(X1),X2) = X1,
    c_0_1774,
    [final] ).

cnf(c_0_2339,plain,
    ( X1 = bot_bo844097828e_bool
    | is_pname(esk20_1(X1))
    | ~ is_fun_pname_bool(X1) ),
    c_0_1775,
    [final] ).

cnf(c_0_2340,plain,
    ( X1 = bot_bo1649642514l_bool
    | is_fun_pname_bool(esk17_1(X1))
    | ~ is_fun1661590463l_bool(X1) ),
    c_0_1776,
    [final] ).

cnf(c_0_2341,plain,
    ( X1 = bot_bo844097828e_bool
    | is_pname(esk16_1(X1))
    | ~ is_fun_pname_bool(X1) ),
    c_0_1777,
    [final] ).

cnf(c_0_2342,plain,
    ( X1 = bot_bo1649642514l_bool
    | is_fun_pname_bool(esk13_1(X1))
    | ~ is_fun1661590463l_bool(X1) ),
    c_0_1778,
    [final] ).

cnf(c_0_2343,plain,
    ( is_fun1661590463l_bool(collec1974731493e_bool(X1))
    | ~ is_fun1661590463l_bool(X1) ),
    c_0_1779,
    [final] ).

cnf(c_0_2344,plain,
    ( is_fun_pname_bool(collect_pname(X1))
    | ~ is_fun_pname_bool(X1) ),
    c_0_1780,
    [final] ).

cnf(c_0_2345,plain,
    ( is_fun1661590463l_bool(cOMBK_1857069011e_bool(X1))
    | ~ is_bool(X1) ),
    c_0_1781,
    [final] ).

cnf(c_0_2346,plain,
    ( is_fun_pname_bool(cOMBK_bool_pname(X1))
    | ~ is_bool(X1) ),
    c_0_1782,
    [final] ).

cnf(c_0_2347,plain,
    ( collect_pname(X1) = bot_bo844097828e_bool
    | is_pname(esk12_1(X1)) ),
    c_0_1783,
    [final] ).

cnf(c_0_2348,plain,
    ( collec1974731493e_bool(X1) = bot_bo1649642514l_bool
    | is_fun_pname_bool(esk10_1(X1)) ),
    c_0_1784,
    [final] ).

cnf(c_0_2349,plain,
    ( collec1613912337l_bool(X1) = bot_bo1537088220l_bool
    | is_fun1661590463l_bool(esk7_1(X1)) ),
    c_0_1785,
    [final] ).

cnf(c_0_2350,plain,
    ( collect_pname(X1) = bot_bo844097828e_bool
    | is_pname(esk6_1(X1)) ),
    c_0_1786,
    [final] ).

cnf(c_0_2351,plain,
    ( collec1974731493e_bool(X1) = bot_bo1649642514l_bool
    | is_fun_pname_bool(esk4_1(X1)) ),
    c_0_1787,
    [final] ).

cnf(c_0_2352,plain,
    ( collec1613912337l_bool(X1) = bot_bo1537088220l_bool
    | is_fun1661590463l_bool(esk1_1(X1)) ),
    c_0_1788,
    [final] ).

cnf(c_0_2353,plain,
    image_2003357581_state(X1,bot_bo844097828e_bool) = bot_bo620288102e_bool,
    c_0_1789,
    [final] ).

cnf(c_0_2354,plain,
    ( collec1974731493e_bool(X1) = X1
    | ~ is_fun1661590463l_bool(X1) ),
    c_0_1790,
    [final] ).

cnf(c_0_2355,plain,
    ( collect_pname(X1) = X1
    | ~ is_fun_pname_bool(X1) ),
    c_0_1791,
    [final] ).

cnf(c_0_2356,plain,
    is_fun1661590463l_bool(dom_fu2081503504ol_com(X1)),
    c_0_1792,
    [final] ).

cnf(c_0_2357,plain,
    is_bool(wt(X1)),
    c_0_1793,
    [final] ).

cnf(c_0_2358,plain,
    ( X1 = fFalse
    | X1 = fTrue
    | ~ is_bool(X1) ),
    c_0_1794,
    [final] ).

cnf(c_0_2359,plain,
    collect_pname(cOMBK_bool_pname(fFalse)) = bot_bo844097828e_bool,
    c_0_1795,
    [final] ).

cnf(c_0_2360,plain,
    collec307967673_state(cOMBK_659609255_state(fFalse)) = bot_bo620288102e_bool,
    c_0_1796,
    [final] ).

cnf(c_0_2361,plain,
    collec1974731493e_bool(cOMBK_1857069011e_bool(fFalse)) = bot_bo1649642514l_bool,
    c_0_1797,
    [final] ).

cnf(c_0_2362,plain,
    collec1823980261e_bool(cOMBK_129401207e_bool(fFalse)) = bot_bo535777328l_bool,
    c_0_1798,
    [final] ).

cnf(c_0_2363,plain,
    collec488126193l_bool(cOMBK_482404831l_bool(fFalse)) = bot_bo1761158942l_bool,
    c_0_1799,
    [final] ).

cnf(c_0_2364,plain,
    is_pname(undefined_pname(pname)),
    c_0_1800,
    [final] ).

cnf(c_0_2365,plain,
    collec1823980261e_bool(X1) = X1,
    c_0_1801,
    [final] ).

cnf(c_0_2366,plain,
    collec307967673_state(X1) = X1,
    c_0_1802,
    [final] ).

cnf(c_0_2367,plain,
    ~ hBOOL(fFalse),
    c_0_1803,
    [final] ).

cnf(c_0_2368,plain,
    is_bool(fTrue),
    c_0_1804,
    [final] ).

cnf(c_0_2369,plain,
    is_bool(fFalse),
    c_0_1805,
    [final] ).

cnf(c_0_2370,plain,
    is_fun1661590463l_bool(bot_bo1649642514l_bool),
    c_0_1806,
    [final] ).

cnf(c_0_2371,plain,
    is_fun_pname_bool(bot_bo844097828e_bool),
    c_0_1807,
    [final] ).

cnf(c_0_2372,plain,
    is_fun1661590463l_bool(finite_finite_pname),
    c_0_1808,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_1809_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2)),bot_bo620288102e_bool)))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2)),X1)),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X2))),bot_bo620288102e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_1809]) ).

cnf(c_0_1809_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2)),X1)),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X2))),bot_bo620288102e_bool)))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2)),bot_bo620288102e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_1809]) ).

cnf(c_0_1810_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,insert1556680138e_bool(sk1_esk31_3(X3,X2,X1),sk1_esk32_3(X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1810]) ).

cnf(c_0_1810_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,insert1556680138e_bool(sk1_esk31_3(X3,X2,X1),sk1_esk32_3(X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1810]) ).

cnf(c_0_1810_2,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,insert1556680138e_bool(sk1_esk31_3(X3,X2,X1),sk1_esk32_3(X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1810]) ).

cnf(c_0_1810_3,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,insert1556680138e_bool(sk1_esk31_3(X3,X2,X1),sk1_esk32_3(X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1810]) ).

cnf(c_0_1810_4,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(X3,insert1556680138e_bool(sk1_esk31_3(X3,X2,X1),sk1_esk32_3(X3,X2,X1))))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | hBOOL(hAPP_f166538662l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1810]) ).

cnf(c_0_1811_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,insert1325755072e_bool(sk1_esk29_3(X3,X2,X1),sk1_esk30_3(X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1811]) ).

cnf(c_0_1811_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,insert1325755072e_bool(sk1_esk29_3(X3,X2,X1),sk1_esk30_3(X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1811]) ).

cnf(c_0_1811_2,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,insert1325755072e_bool(sk1_esk29_3(X3,X2,X1),sk1_esk30_3(X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1811]) ).

cnf(c_0_1811_3,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,insert1325755072e_bool(sk1_esk29_3(X3,X2,X1),sk1_esk30_3(X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1811]) ).

cnf(c_0_1811_4,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(X3,insert1325755072e_bool(sk1_esk29_3(X3,X2,X1),sk1_esk30_3(X3,X2,X1))))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1811]) ).

cnf(c_0_1812_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,insert1415133716_state(sk1_esk27_3(X3,X2,X1),sk1_esk28_3(X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1812]) ).

cnf(c_0_1812_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,insert1415133716_state(sk1_esk27_3(X3,X2,X1),sk1_esk28_3(X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1812]) ).

cnf(c_0_1812_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,insert1415133716_state(sk1_esk27_3(X3,X2,X1),sk1_esk28_3(X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1812]) ).

cnf(c_0_1812_3,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,insert1415133716_state(sk1_esk27_3(X3,X2,X1),sk1_esk28_3(X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1812]) ).

cnf(c_0_1812_4,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(X3,insert1415133716_state(sk1_esk27_3(X3,X2,X1),sk1_esk28_3(X3,X2,X1))))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f971112728l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1812]) ).

cnf(c_0_1813_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,insert_pname(sk1_esk25_3(X3,X2,X1),sk1_esk26_3(X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1813]) ).

cnf(c_0_1813_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,insert_pname(sk1_esk25_3(X3,X2,X1),sk1_esk26_3(X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1813]) ).

cnf(c_0_1813_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,insert_pname(sk1_esk25_3(X3,X2,X1),sk1_esk26_3(X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1813]) ).

cnf(c_0_1813_3,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,insert_pname(sk1_esk25_3(X3,X2,X1),sk1_esk26_3(X3,X2,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1813]) ).

cnf(c_0_1813_4,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(X3,insert_pname(sk1_esk25_3(X3,X2,X1),sk1_esk26_3(X3,X2,X1))))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1813]) ).

cnf(c_0_1814_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2),bot_bo620288102e_bool)))
    | ~ hBOOL(hoare_165779456gleton)
    | ~ hBOOL(wt(X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,sk1_esk23_2(X2,X1))),bot_bo620288102e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_1814]) ).

cnf(c_0_1814_1,axiom,
    ( ~ hBOOL(hoare_165779456gleton)
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2),bot_bo620288102e_bool)))
    | ~ hBOOL(wt(X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,sk1_esk23_2(X2,X1))),bot_bo620288102e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_1814]) ).

cnf(c_0_1814_2,axiom,
    ( ~ hBOOL(wt(X2))
    | ~ hBOOL(hoare_165779456gleton)
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2),bot_bo620288102e_bool)))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,sk1_esk23_2(X2,X1))),bot_bo620288102e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_1814]) ).

cnf(c_0_1814_3,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,sk1_esk23_2(X2,X1))),bot_bo620288102e_bool)))
    | ~ hBOOL(wt(X2))
    | ~ hBOOL(hoare_165779456gleton)
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2),bot_bo620288102e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_1814]) ).

cnf(c_0_1815_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,sk1_esk31_3(X3,X2,X1)),sk1_esk32_3(X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1815]) ).

cnf(c_0_1815_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,sk1_esk31_3(X3,X2,X1)),sk1_esk32_3(X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1815]) ).

cnf(c_0_1815_2,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,sk1_esk31_3(X3,X2,X1)),sk1_esk32_3(X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1815]) ).

cnf(c_0_1815_3,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,sk1_esk31_3(X3,X2,X1)),sk1_esk32_3(X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1815]) ).

cnf(c_0_1815_4,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,sk1_esk31_3(X3,X2,X1)),sk1_esk32_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | hBOOL(hAPP_f166538662l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1815]) ).

cnf(c_0_1816_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk29_3(X3,X2,X1)),sk1_esk30_3(X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1816]) ).

cnf(c_0_1816_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk29_3(X3,X2,X1)),sk1_esk30_3(X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1816]) ).

cnf(c_0_1816_2,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk29_3(X3,X2,X1)),sk1_esk30_3(X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1816]) ).

cnf(c_0_1816_3,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk29_3(X3,X2,X1)),sk1_esk30_3(X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1816]) ).

cnf(c_0_1816_4,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk29_3(X3,X2,X1)),sk1_esk30_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1816]) ).

cnf(c_0_1817_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sk1_esk27_3(X3,X2,X1)),sk1_esk28_3(X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1817]) ).

cnf(c_0_1817_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sk1_esk27_3(X3,X2,X1)),sk1_esk28_3(X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1817]) ).

cnf(c_0_1817_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sk1_esk27_3(X3,X2,X1)),sk1_esk28_3(X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1817]) ).

cnf(c_0_1817_3,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sk1_esk27_3(X3,X2,X1)),sk1_esk28_3(X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1817]) ).

cnf(c_0_1817_4,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sk1_esk27_3(X3,X2,X1)),sk1_esk28_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f971112728l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1817]) ).

cnf(c_0_1818_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk25_3(X3,X2,X1)),sk1_esk26_3(X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1818]) ).

cnf(c_0_1818_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk25_3(X3,X2,X1)),sk1_esk26_3(X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1818]) ).

cnf(c_0_1818_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk25_3(X3,X2,X1)),sk1_esk26_3(X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1818]) ).

cnf(c_0_1818_3,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk25_3(X3,X2,X1)),sk1_esk26_3(X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1818]) ).

cnf(c_0_1818_4,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk25_3(X3,X2,X1)),sk1_esk26_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1818]) ).

cnf(c_0_1819_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk36_3(X2,X3,X1)),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1819]) ).

cnf(c_0_1819_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk36_3(X2,X3,X1)),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1819]) ).

cnf(c_0_1819_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk36_3(X2,X3,X1)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1819]) ).

cnf(c_0_1820_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(X3,X1))
    | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,sk1_esk31_3(X3,X2,X1)),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1820]) ).

cnf(c_0_1820_1,axiom,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,sk1_esk31_3(X3,X2,X1)),X2))
    | hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1820]) ).

cnf(c_0_1820_2,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,sk1_esk31_3(X3,X2,X1)),X2))
    | hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1820]) ).

cnf(c_0_1820_3,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,sk1_esk31_3(X3,X2,X1)),X2))
    | hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1820]) ).

cnf(c_0_1820_4,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,sk1_esk31_3(X3,X2,X1)),X2))
    | hBOOL(hAPP_f166538662l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1820]) ).

cnf(c_0_1821_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk29_3(X3,X2,X1)),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1821]) ).

cnf(c_0_1821_1,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk29_3(X3,X2,X1)),X2))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1821]) ).

cnf(c_0_1821_2,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk29_3(X3,X2,X1)),X2))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1821]) ).

cnf(c_0_1821_3,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk29_3(X3,X2,X1)),X2))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1821]) ).

cnf(c_0_1821_4,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk29_3(X3,X2,X1)),X2))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1821]) ).

cnf(c_0_1822_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(X3,X1))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sk1_esk27_3(X3,X2,X1)),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1822]) ).

cnf(c_0_1822_1,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sk1_esk27_3(X3,X2,X1)),X2))
    | hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1822]) ).

cnf(c_0_1822_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sk1_esk27_3(X3,X2,X1)),X2))
    | hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1822]) ).

cnf(c_0_1822_3,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sk1_esk27_3(X3,X2,X1)),X2))
    | hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1822]) ).

cnf(c_0_1822_4,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sk1_esk27_3(X3,X2,X1)),X2))
    | hBOOL(hAPP_f971112728l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1822]) ).

cnf(c_0_1823_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk25_3(X3,X2,X1)),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1823]) ).

cnf(c_0_1823_1,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk25_3(X3,X2,X1)),X2))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1823]) ).

cnf(c_0_1823_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk25_3(X3,X2,X1)),X2))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1823]) ).

cnf(c_0_1823_3,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk25_3(X3,X2,X1)),X2))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1823]) ).

cnf(c_0_1823_4,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk25_3(X3,X2,X1)),X2))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1823]) ).

cnf(c_0_1824_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk24_3(X1,X2,X3)),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1824]) ).

cnf(c_0_1824_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk24_3(X1,X2,X3)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1824]) ).

cnf(c_0_1825_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk22_3(X1,X2,X3)),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1825]) ).

cnf(c_0_1825_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk22_3(X1,X2,X3)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1825]) ).

cnf(c_0_1826_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk21_3(X1,X2,X3)),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1826]) ).

cnf(c_0_1826_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk21_3(X1,X2,X3)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1826]) ).

cnf(c_0_1827_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1827]) ).

cnf(c_0_1827_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X1),X2))))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1827]) ).

cnf(c_0_1828_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X2)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1828]) ).

cnf(c_0_1828_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X1),X2))))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1828]) ).

cnf(c_0_1829_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1829]) ).

cnf(c_0_1829_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1),X2))))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1829]) ).

cnf(c_0_1830_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X2)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1830]) ).

cnf(c_0_1830_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1),X2))))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1830]) ).

cnf(c_0_1831_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1831]) ).

cnf(c_0_1831_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X1),X2))))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1831]) ).

cnf(c_0_1832_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1832]) ).

cnf(c_0_1832_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X1),X2))))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1832]) ).

cnf(c_0_1833_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1833]) ).

cnf(c_0_1833_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1),X2))))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1833]) ).

cnf(c_0_1834_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1834]) ).

cnf(c_0_1834_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1),X2))))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1834]) ).

cnf(c_0_1835_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk36_3(X2,X3,X1)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1835]) ).

cnf(c_0_1835_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk36_3(X2,X3,X1)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1835]) ).

cnf(c_0_1835_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk36_3(X2,X3,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1835]) ).

cnf(c_0_1836_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(X3,X1))
    | hBOOL(hAPP_f166538662l_bool(X3,sk1_esk32_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1836]) ).

cnf(c_0_1836_1,axiom,
    ( hBOOL(hAPP_f166538662l_bool(X3,sk1_esk32_3(X3,X2,X1)))
    | hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1836]) ).

cnf(c_0_1836_2,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | hBOOL(hAPP_f166538662l_bool(X3,sk1_esk32_3(X3,X2,X1)))
    | hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1836]) ).

cnf(c_0_1836_3,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | hBOOL(hAPP_f166538662l_bool(X3,sk1_esk32_3(X3,X2,X1)))
    | hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1836]) ).

cnf(c_0_1836_4,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | hBOOL(hAPP_f166538662l_bool(X3,sk1_esk32_3(X3,X2,X1)))
    | hBOOL(hAPP_f166538662l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1836]) ).

cnf(c_0_1837_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,sk1_esk30_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1837]) ).

cnf(c_0_1837_1,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(X3,sk1_esk30_3(X3,X2,X1)))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1837]) ).

cnf(c_0_1837_2,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,sk1_esk30_3(X3,X2,X1)))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1837]) ).

cnf(c_0_1837_3,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,sk1_esk30_3(X3,X2,X1)))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1837]) ).

cnf(c_0_1837_4,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,sk1_esk30_3(X3,X2,X1)))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1837]) ).

cnf(c_0_1838_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(X3,X1))
    | hBOOL(hAPP_f971112728l_bool(X3,sk1_esk28_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1838]) ).

cnf(c_0_1838_1,axiom,
    ( hBOOL(hAPP_f971112728l_bool(X3,sk1_esk28_3(X3,X2,X1)))
    | hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1838]) ).

cnf(c_0_1838_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f971112728l_bool(X3,sk1_esk28_3(X3,X2,X1)))
    | hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1838]) ).

cnf(c_0_1838_3,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f971112728l_bool(X3,sk1_esk28_3(X3,X2,X1)))
    | hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1838]) ).

cnf(c_0_1838_4,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f971112728l_bool(X3,sk1_esk28_3(X3,X2,X1)))
    | hBOOL(hAPP_f971112728l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1838]) ).

cnf(c_0_1839_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,sk1_esk26_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1839]) ).

cnf(c_0_1839_1,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(X3,sk1_esk26_3(X3,X2,X1)))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1839]) ).

cnf(c_0_1839_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,sk1_esk26_3(X3,X2,X1)))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1839]) ).

cnf(c_0_1839_3,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,sk1_esk26_3(X3,X2,X1)))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1839]) ).

cnf(c_0_1839_4,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,sk1_esk26_3(X3,X2,X1)))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1839]) ).

cnf(c_0_1840_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(X3,X1))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,sk1_esk32_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1840]) ).

cnf(c_0_1840_1,axiom,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,sk1_esk32_3(X3,X2,X1)))
    | hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1840]) ).

cnf(c_0_1840_2,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,sk1_esk32_3(X3,X2,X1)))
    | hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1840]) ).

cnf(c_0_1840_3,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,sk1_esk32_3(X3,X2,X1)))
    | hBOOL(hAPP_f166538662l_bool(X3,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1840]) ).

cnf(c_0_1840_4,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(X3,bot_bo535777328l_bool))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,sk1_esk32_3(X3,X2,X1)))
    | hBOOL(hAPP_f166538662l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1840]) ).

cnf(c_0_1841_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk30_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1841]) ).

cnf(c_0_1841_1,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk30_3(X3,X2,X1)))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1841]) ).

cnf(c_0_1841_2,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk30_3(X3,X2,X1)))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1841]) ).

cnf(c_0_1841_3,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk30_3(X3,X2,X1)))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1841]) ).

cnf(c_0_1841_4,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk30_3(X3,X2,X1)))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1841]) ).

cnf(c_0_1842_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(X3,X1))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,sk1_esk28_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1842]) ).

cnf(c_0_1842_1,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,sk1_esk28_3(X3,X2,X1)))
    | hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1842]) ).

cnf(c_0_1842_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,sk1_esk28_3(X3,X2,X1)))
    | hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1842]) ).

cnf(c_0_1842_3,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,sk1_esk28_3(X3,X2,X1)))
    | hBOOL(hAPP_f971112728l_bool(X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1842]) ).

cnf(c_0_1842_4,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(X3,bot_bo620288102e_bool))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,sk1_esk28_3(X3,X2,X1)))
    | hBOOL(hAPP_f971112728l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1842]) ).

cnf(c_0_1843_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk26_3(X3,X2,X1)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1843]) ).

cnf(c_0_1843_1,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk26_3(X3,X2,X1)))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1843]) ).

cnf(c_0_1843_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk26_3(X3,X2,X1)))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1843]) ).

cnf(c_0_1843_3,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk26_3(X3,X2,X1)))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1843]) ).

cnf(c_0_1843_4,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk26_3(X3,X2,X1)))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1843]) ).

cnf(c_0_1844_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X1),X2))))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X2)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1844]) ).

cnf(c_0_1844_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X2)))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X1),X2))))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1844]) ).

cnf(c_0_1844_2,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X2)))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1844]) ).

cnf(c_0_1845_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1),X2))))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X2)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1845]) ).

cnf(c_0_1845_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X2)))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1),X2))))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1845]) ).

cnf(c_0_1845_2,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X2)))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1845]) ).

cnf(c_0_1846_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X1),X2))))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1846]) ).

cnf(c_0_1846_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X2)))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X1),X2))))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1846]) ).

cnf(c_0_1846_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X2)))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1846]) ).

cnf(c_0_1847_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1),X2))))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1847]) ).

cnf(c_0_1847_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X2)))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1),X2))))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1847]) ).

cnf(c_0_1847_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X2)))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1847]) ).

cnf(c_0_1852_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1,X2)),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1852]) ).

cnf(c_0_1852_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1,X2)),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1852]) ).

cnf(c_0_1852_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1,X2)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1852]) ).

cnf(c_0_1853_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X2)),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1853]) ).

cnf(c_0_1853_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X2)),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1853]) ).

cnf(c_0_1853_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X2)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1853]) ).

cnf(c_0_1854_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1854]) ).

cnf(c_0_1854_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1)))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1854]) ).

cnf(c_0_1855_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1855]) ).

cnf(c_0_1855_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X2)))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1855]) ).

cnf(c_0_1856_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1856]) ).

cnf(c_0_1856_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1)))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1856]) ).

cnf(c_0_1857_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1857]) ).

cnf(c_0_1857_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X2)))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1857]) ).

cnf(c_0_1858_0,axiom,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(cOMBS_1358309691l_bool(cOMBB_404111180l_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1858]) ).

cnf(c_0_1858_1,axiom,
    ( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(X1)))
    | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(cOMBS_1358309691l_bool(cOMBB_404111180l_bool(fconj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1858]) ).

cnf(c_0_1859_0,axiom,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(cOMBS_1358309691l_bool(cOMBB_404111180l_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1859]) ).

cnf(c_0_1859_1,axiom,
    ( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(X2)))
    | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(cOMBS_1358309691l_bool(cOMBB_404111180l_bool(fconj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1859]) ).

cnf(c_0_1860_0,axiom,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(cOMBS_811933079l_bool(cOMBB_689948150l_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1860]) ).

cnf(c_0_1860_1,axiom,
    ( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(X1)))
    | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(cOMBS_811933079l_bool(cOMBB_689948150l_bool(fconj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1860]) ).

cnf(c_0_1861_0,axiom,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(cOMBS_811933079l_bool(cOMBB_689948150l_bool(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1861]) ).

cnf(c_0_1861_1,axiom,
    ( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(X2)))
    | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(cOMBS_811933079l_bool(cOMBB_689948150l_bool(fconj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1861]) ).

cnf(c_0_1862_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1862]) ).

cnf(c_0_1862_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1)))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1862]) ).

cnf(c_0_1863_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1863]) ).

cnf(c_0_1863_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X2)))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1863]) ).

cnf(c_0_1864_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1864]) ).

cnf(c_0_1864_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1)))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1864]) ).

cnf(c_0_1865_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X1),X2))))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1865]) ).

cnf(c_0_1865_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X2)))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X1),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1865]) ).

cnf(c_0_1866_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2),bot_bo620288102e_bool)))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk23_2(X2,X1)),dom_pname_com(body)))
    | ~ hBOOL(hoare_165779456gleton)
    | ~ hBOOL(wt(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1866]) ).

cnf(c_0_1866_1,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk23_2(X2,X1)),dom_pname_com(body)))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2),bot_bo620288102e_bool)))
    | ~ hBOOL(hoare_165779456gleton)
    | ~ hBOOL(wt(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1866]) ).

cnf(c_0_1866_2,axiom,
    ( ~ hBOOL(hoare_165779456gleton)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk23_2(X2,X1)),dom_pname_com(body)))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2),bot_bo620288102e_bool)))
    | ~ hBOOL(wt(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1866]) ).

cnf(c_0_1866_3,axiom,
    ( ~ hBOOL(wt(X2))
    | ~ hBOOL(hoare_165779456gleton)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk23_2(X2,X1)),dom_pname_com(body)))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2),bot_bo620288102e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_1866]) ).

cnf(c_0_1867_0,axiom,
    ( image_2003357581_state(X2,sk1_esk36_3(X2,X3,X1)) = X1
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1867]) ).

cnf(c_0_1867_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | image_2003357581_state(X2,sk1_esk36_3(X2,X3,X1)) = X1
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1867]) ).

cnf(c_0_1867_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | image_2003357581_state(X2,sk1_esk36_3(X2,X3,X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1867]) ).

cnf(c_0_1868_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sk1_esk35_2(X2,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1868]) ).

cnf(c_0_1868_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sk1_esk35_2(X2,X1)),X2))
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1868]) ).

cnf(c_0_1869_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk34_2(X2,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1869]) ).

cnf(c_0_1869_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk34_2(X2,X1)),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1869]) ).

cnf(c_0_1870_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1,X2)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1870]) ).

cnf(c_0_1870_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1,X2)),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1870]) ).

cnf(c_0_1871_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1,X2)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1871]) ).

cnf(c_0_1871_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1,X2)),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1871]) ).

cnf(c_0_1872_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X2)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1872]) ).

cnf(c_0_1872_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X2)),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1872]) ).

cnf(c_0_1873_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X2)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1873]) ).

cnf(c_0_1873_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X2)),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1873]) ).

cnf(c_0_1874_0,axiom,
    ( is_fun_pname_bool(sk1_esk36_3(X2,X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1874]) ).

cnf(c_0_1874_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | is_fun_pname_bool(sk1_esk36_3(X2,X3,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1874]) ).

cnf(c_0_1874_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | is_fun_pname_bool(sk1_esk36_3(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1874]) ).

cnf(c_0_1875_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),insert1415133716_state(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1875]) ).

cnf(c_0_1875_1,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),insert1415133716_state(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1875]) ).

cnf(c_0_1875_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),insert1415133716_state(X1,X3)))
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1875]) ).

cnf(c_0_1876_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),insert_pname(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1876]) ).

cnf(c_0_1876_1,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),insert_pname(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1876]) ).

cnf(c_0_1876_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),insert_pname(X1,X3)))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1876]) ).

cnf(c_0_1877_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,image_2003357581_state(X1,X2)),image_2003357581_state(X1,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1877]) ).

cnf(c_0_1877_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,image_2003357581_state(X1,X2)),image_2003357581_state(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1877]) ).

cnf(c_0_1878_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1,X2)),insert1415133716_state(X1,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1878]) ).

cnf(c_0_1878_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1,X2)),insert1415133716_state(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1878]) ).

cnf(c_0_1879_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X2)),insert_pname(X1,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1879]) ).

cnf(c_0_1879_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X2)),insert_pname(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1879]) ).

cnf(c_0_1880_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_p1422361149_state(X1,X2)),image_2003357581_state(X1,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1880]) ).

cnf(c_0_1880_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_p1422361149_state(X1,X2)),image_2003357581_state(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1880]) ).

cnf(c_0_1881_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | is_fun_pname_bool(sk1_esk29_3(X3,X2,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1881]) ).

cnf(c_0_1881_1,axiom,
    ( is_fun_pname_bool(sk1_esk29_3(X3,X2,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1881]) ).

cnf(c_0_1881_2,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | is_fun_pname_bool(sk1_esk29_3(X3,X2,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1881]) ).

cnf(c_0_1881_3,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | is_fun_pname_bool(sk1_esk29_3(X3,X2,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1881]) ).

cnf(c_0_1881_4,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | is_fun_pname_bool(sk1_esk29_3(X3,X2,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1881]) ).

cnf(c_0_1882_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | is_fun1661590463l_bool(sk1_esk30_3(X3,X2,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1882]) ).

cnf(c_0_1882_1,axiom,
    ( is_fun1661590463l_bool(sk1_esk30_3(X3,X2,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1882]) ).

cnf(c_0_1882_2,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | is_fun1661590463l_bool(sk1_esk30_3(X3,X2,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1882]) ).

cnf(c_0_1882_3,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | is_fun1661590463l_bool(sk1_esk30_3(X3,X2,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1882]) ).

cnf(c_0_1882_4,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | is_fun1661590463l_bool(sk1_esk30_3(X3,X2,X1))
    | hBOOL(hAPP_f1935102916l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1882]) ).

cnf(c_0_1883_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | is_pname(sk1_esk25_3(X3,X2,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1883]) ).

cnf(c_0_1883_1,axiom,
    ( is_pname(sk1_esk25_3(X3,X2,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1883]) ).

cnf(c_0_1883_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | is_pname(sk1_esk25_3(X3,X2,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1883]) ).

cnf(c_0_1883_3,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | is_pname(sk1_esk25_3(X3,X2,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1883]) ).

cnf(c_0_1883_4,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | is_pname(sk1_esk25_3(X3,X2,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1883]) ).

cnf(c_0_1884_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | is_fun_pname_bool(sk1_esk26_3(X3,X2,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1884]) ).

cnf(c_0_1884_1,axiom,
    ( is_fun_pname_bool(sk1_esk26_3(X3,X2,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1884]) ).

cnf(c_0_1884_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | is_fun_pname_bool(sk1_esk26_3(X3,X2,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1884]) ).

cnf(c_0_1884_3,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | is_fun_pname_bool(sk1_esk26_3(X3,X2,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1884]) ).

cnf(c_0_1884_4,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | is_fun_pname_bool(sk1_esk26_3(X3,X2,X1))
    | hBOOL(hAPP_f1664156314l_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1884]) ).

cnf(c_0_1885_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),insert1415133716_state(X1,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1885]) ).

cnf(c_0_1885_1,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),insert1415133716_state(X1,X3)))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1885]) ).

cnf(c_0_1885_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),insert1415133716_state(X1,X3)))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1885]) ).

cnf(c_0_1886_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),insert_pname(X1,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1886]) ).

cnf(c_0_1886_1,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),insert_pname(X1,X3)))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1886]) ).

cnf(c_0_1886_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),insert_pname(X1,X3)))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1886]) ).

cnf(c_0_1887_0,axiom,
    ( hAPP_p1422361149_state(X2,sk1_esk24_3(X1,X2,X3)) = X1
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1887]) ).

cnf(c_0_1887_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
    | hAPP_p1422361149_state(X2,sk1_esk24_3(X1,X2,X3)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1887]) ).

cnf(c_0_1888_0,axiom,
    ( image_2003357581_state(X2,sk1_esk22_3(X1,X2,X3)) = X1
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1888]) ).

cnf(c_0_1888_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
    | image_2003357581_state(X2,sk1_esk22_3(X1,X2,X3)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1888]) ).

cnf(c_0_1889_0,axiom,
    ( hAPP_p1422361149_state(X2,sk1_esk21_3(X1,X2,X3)) = X1
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1889]) ).

cnf(c_0_1889_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
    | hAPP_p1422361149_state(X2,sk1_esk21_3(X1,X2,X3)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1889]) ).

cnf(c_0_1890_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1890]) ).

cnf(c_0_1890_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1890]) ).

cnf(c_0_1890_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1890]) ).

cnf(c_0_1891_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1891]) ).

cnf(c_0_1891_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1891]) ).

cnf(c_0_1891_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1891]) ).

cnf(c_0_1892_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1892]) ).

cnf(c_0_1892_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1892]) ).

cnf(c_0_1892_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1892]) ).

cnf(c_0_1893_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1893]) ).

cnf(c_0_1893_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1893]) ).

cnf(c_0_1893_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1893]) ).

cnf(c_0_1894_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1894]) ).

cnf(c_0_1894_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1894]) ).

cnf(c_0_1894_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1894]) ).

cnf(c_0_1895_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1895]) ).

cnf(c_0_1895_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1895]) ).

cnf(c_0_1895_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1895]) ).

cnf(c_0_1896_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1896]) ).

cnf(c_0_1896_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2))
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1896]) ).

cnf(c_0_1896_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2))
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1896]) ).

cnf(c_0_1897_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1897]) ).

cnf(c_0_1897_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1897]) ).

cnf(c_0_1897_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1897]) ).

cnf(c_0_1898_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1898]) ).

cnf(c_0_1898_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1898]) ).

cnf(c_0_1898_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1898]) ).

cnf(c_0_1899_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X3))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1899]) ).

cnf(c_0_1899_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X3))
    | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1899]) ).

cnf(c_0_1899_2,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X3),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X3))
    | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1899]) ).

cnf(c_0_1900_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X3))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1900]) ).

cnf(c_0_1900_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X3))
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1900]) ).

cnf(c_0_1900_2,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X3))
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1900]) ).

cnf(c_0_1901_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1901]) ).

cnf(c_0_1901_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1901]) ).

cnf(c_0_1901_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1901]) ).

cnf(c_0_1902_0,axiom,
    ( is_pname(sk1_esk24_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1902]) ).

cnf(c_0_1902_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
    | is_pname(sk1_esk24_3(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1902]) ).

cnf(c_0_1903_0,axiom,
    ( is_fun_pname_bool(sk1_esk22_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1903]) ).

cnf(c_0_1903_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
    | is_fun_pname_bool(sk1_esk22_3(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1903]) ).

cnf(c_0_1904_0,axiom,
    ( is_pname(sk1_esk21_3(X1,X2,X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1904]) ).

cnf(c_0_1904_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
    | is_pname(sk1_esk21_3(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1904]) ).

cnf(c_0_1905_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,bot_bo620288102e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_1905]) ).

cnf(c_0_1905_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,bot_bo620288102e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_1905]) ).

cnf(c_0_1905_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,bot_bo620288102e_bool)))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1905]) ).

cnf(c_0_1906_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
    | X2 = X1
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1906]) ).

cnf(c_0_1906_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1906]) ).

cnf(c_0_1906_2,axiom,
    ( ~ is_pname(X1)
    | X2 = X1
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1906]) ).

cnf(c_0_1906_3,axiom,
    ( ~ is_pname(X2)
    | ~ is_pname(X1)
    | X2 = X1
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1906]) ).

cnf(c_0_1906_4,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,X3)))
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | X2 = X1
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1906]) ).

cnf(c_0_1907_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | X1 = X3
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X3,X2)))
    | ~ is_pname(X3)
    | ~ is_pname(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1907]) ).

cnf(c_0_1907_1,axiom,
    ( X1 = X3
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X3,X2)))
    | ~ is_pname(X3)
    | ~ is_pname(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1907]) ).

cnf(c_0_1907_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X3,X2)))
    | X1 = X3
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ is_pname(X3)
    | ~ is_pname(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1907]) ).

cnf(c_0_1907_3,axiom,
    ( ~ is_pname(X3)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X3,X2)))
    | X1 = X3
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ is_pname(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1907]) ).

cnf(c_0_1907_4,axiom,
    ( ~ is_pname(X1)
    | ~ is_pname(X3)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X3,X2)))
    | X1 = X3
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1907]) ).

cnf(c_0_1908_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
    | X1 = X3
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),insert1325755072e_bool(X3,X2)))
    | ~ is_fun_pname_bool(X3)
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1908]) ).

cnf(c_0_1908_1,axiom,
    ( X1 = X3
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),insert1325755072e_bool(X3,X2)))
    | ~ is_fun_pname_bool(X3)
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1908]) ).

cnf(c_0_1908_2,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),insert1325755072e_bool(X3,X2)))
    | X1 = X3
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
    | ~ is_fun_pname_bool(X3)
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1908]) ).

cnf(c_0_1908_3,axiom,
    ( ~ is_fun_pname_bool(X3)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),insert1325755072e_bool(X3,X2)))
    | X1 = X3
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1908]) ).

cnf(c_0_1908_4,axiom,
    ( ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X3)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),insert1325755072e_bool(X3,X2)))
    | X1 = X3
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1908]) ).

cnf(c_0_1917_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | X1 = X3
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X3,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1917]) ).

cnf(c_0_1917_1,axiom,
    ( X1 = X3
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X3,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1917]) ).

cnf(c_0_1917_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X3,X2)))
    | X1 = X3
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1917]) ).

cnf(c_0_1918_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
    | X1 = X3
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),insert1556680138e_bool(X3,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1918]) ).

cnf(c_0_1918_1,axiom,
    ( X1 = X3
    | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),insert1556680138e_bool(X3,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1918]) ).

cnf(c_0_1918_2,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),insert1556680138e_bool(X3,X2)))
    | X1 = X3
    | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1918]) ).

cnf(c_0_1919_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | X1 = X3
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X3,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1919]) ).

cnf(c_0_1919_1,axiom,
    ( X1 = X3
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X3,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1919]) ).

cnf(c_0_1919_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X3,X2)))
    | X1 = X3
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1919]) ).

cnf(c_0_1920_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
    | X1 != image_2003357581_state(X2,X4)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
    | ~ is_fun_pname_bool(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1920]) ).

cnf(c_0_1920_1,axiom,
    ( X1 != image_2003357581_state(X2,X4)
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
    | ~ is_fun_pname_bool(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1920]) ).

cnf(c_0_1920_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
    | X1 != image_2003357581_state(X2,X4)
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
    | ~ is_fun_pname_bool(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1920]) ).

cnf(c_0_1920_3,axiom,
    ( ~ is_fun_pname_bool(X4)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
    | X1 != image_2003357581_state(X2,X4)
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1920]) ).

cnf(c_0_1921_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
    | X1 != hAPP_p1422361149_state(X2,X4)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | ~ is_pname(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1921]) ).

cnf(c_0_1921_1,axiom,
    ( X1 != hAPP_p1422361149_state(X2,X4)
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | ~ is_pname(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1921]) ).

cnf(c_0_1921_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | X1 != hAPP_p1422361149_state(X2,X4)
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
    | ~ is_pname(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1921]) ).

cnf(c_0_1921_3,axiom,
    ( ~ is_pname(X4)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | X1 != hAPP_p1422361149_state(X2,X4)
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1921]) ).

cnf(c_0_1922_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
    | X1 != hAPP_p1422361149_state(X2,X4)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1922]) ).

cnf(c_0_1922_1,axiom,
    ( X1 != hAPP_p1422361149_state(X2,X4)
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1922]) ).

cnf(c_0_1922_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | X1 != hAPP_p1422361149_state(X2,X4)
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1922]) ).

cnf(c_0_1923_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | X1 != hAPP_p1422361149_state(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1923]) ).

cnf(c_0_1923_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
    | X1 != hAPP_p1422361149_state(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1923]) ).

cnf(c_0_1923_2,axiom,
    ( X1 != hAPP_p1422361149_state(X2,X4)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1923]) ).

cnf(c_0_1924_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_187965177_pname(X2,X3)))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X4),X3))
    | X1 != hAPP_f560369737_pname(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1924]) ).

cnf(c_0_1924_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X4),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_187965177_pname(X2,X3)))
    | X1 != hAPP_f560369737_pname(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1924]) ).

cnf(c_0_1924_2,axiom,
    ( X1 != hAPP_f560369737_pname(X2,X4)
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X4),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_187965177_pname(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1924]) ).

cnf(c_0_1925_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_1283814551_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X4),X3))
    | X1 != hAPP_f1297739591_pname(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1925]) ).

cnf(c_0_1925_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X4),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_1283814551_pname(X2,X3)))
    | X1 != hAPP_f1297739591_pname(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1925]) ).

cnf(c_0_1925_2,axiom,
    ( X1 != hAPP_f1297739591_pname(X2,X4)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X4),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_1283814551_pname(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1925]) ).

cnf(c_0_1926_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_pname_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | X1 != hAPP_pname_pname(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1926]) ).

cnf(c_0_1926_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_pname_pname(X2,X3)))
    | X1 != hAPP_pname_pname(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1926]) ).

cnf(c_0_1926_2,axiom,
    ( X1 != hAPP_pname_pname(X2,X4)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_pname_pname(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1926]) ).

cnf(c_0_1927_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_54689091_pname(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X4),X3))
    | X1 != hAPP_H1621176307_pname(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1927]) ).

cnf(c_0_1927_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X4),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_54689091_pname(X2,X3)))
    | X1 != hAPP_H1621176307_pname(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1927]) ).

cnf(c_0_1927_2,axiom,
    ( X1 != hAPP_H1621176307_pname(X2,X4)
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X4),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_54689091_pname(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1927]) ).

cnf(c_0_1928_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_18964633_state(X2,X3)))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X4),X3))
    | X1 != hAPP_f1387463497_state(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1928]) ).

cnf(c_0_1928_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X4),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_18964633_state(X2,X3)))
    | X1 != hAPP_f1387463497_state(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1928]) ).

cnf(c_0_1928_2,axiom,
    ( X1 != hAPP_f1387463497_state(X2,X4)
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X4),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_18964633_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1928]) ).

cnf(c_0_1929_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_516545147_state(X2,X3)))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X4),X3))
    | X1 != hAPP_f888949707_state(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1929]) ).

cnf(c_0_1929_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X4),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_516545147_state(X2,X3)))
    | X1 != hAPP_f888949707_state(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1929]) ).

cnf(c_0_1929_2,axiom,
    ( X1 != hAPP_f888949707_state(X2,X4)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X4),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_516545147_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1929]) ).

cnf(c_0_1930_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),image_70449425e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | X1 != hAPP_p442853985e_bool(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1930]) ).

cnf(c_0_1930_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),image_70449425e_bool(X2,X3)))
    | X1 != hAPP_p442853985e_bool(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1930]) ).

cnf(c_0_1930_2,axiom,
    ( X1 != hAPP_p442853985e_bool(X2,X4)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),image_70449425e_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1930]) ).

cnf(c_0_1931_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),image_47868345e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | X1 != hAPP_p61793385e_bool(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1931]) ).

cnf(c_0_1931_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),image_47868345e_bool(X2,X3)))
    | X1 != hAPP_p61793385e_bool(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1931]) ).

cnf(c_0_1931_2,axiom,
    ( X1 != hAPP_p61793385e_bool(X2,X4)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),image_47868345e_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1931]) ).

cnf(c_0_1932_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),image_1828608335e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X4),X3))
    | X1 != hAPP_H1049623551e_bool(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1932]) ).

cnf(c_0_1932_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X4),X3))
    | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),image_1828608335e_bool(X2,X3)))
    | X1 != hAPP_H1049623551e_bool(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1932]) ).

cnf(c_0_1932_2,axiom,
    ( X1 != hAPP_H1049623551e_bool(X2,X4)
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X4),X3))
    | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),image_1828608335e_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1932]) ).

cnf(c_0_1933_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),image_2131964411e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X4),X3))
    | X1 != hAPP_H356885323e_bool(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1933]) ).

cnf(c_0_1933_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X4),X3))
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),image_2131964411e_bool(X2,X3)))
    | X1 != hAPP_H356885323e_bool(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1933]) ).

cnf(c_0_1933_2,axiom,
    ( X1 != hAPP_H356885323e_bool(X2,X4)
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X4),X3))
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),image_2131964411e_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1933]) ).

cnf(c_0_1934_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),image_2131964411e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1934]) ).

cnf(c_0_1934_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),image_2131964411e_bool(X2,X3)))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1934]) ).

cnf(c_0_1934_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),image_2131964411e_bool(X2,X3)))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1934]) ).

cnf(c_0_1935_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),image_1828608335e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1935]) ).

cnf(c_0_1935_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),image_1828608335e_bool(X2,X3)))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1935]) ).

cnf(c_0_1935_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),image_1828608335e_bool(X2,X3)))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1935]) ).

cnf(c_0_1936_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_54689091_pname(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1936]) ).

cnf(c_0_1936_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_54689091_pname(X2,X3)))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1936]) ).

cnf(c_0_1936_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_54689091_pname(X2,X3)))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1936]) ).

cnf(c_0_1937_0,axiom,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1))
    | ~ hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X1),image_1761575943l_bool(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1937]) ).

cnf(c_0_1937_1,axiom,
    ( ~ hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X1),image_1761575943l_bool(X2,X3)))
    | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1937]) ).

cnf(c_0_1937_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3))
    | ~ hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X1),image_1761575943l_bool(X2,X3)))
    | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1937]) ).

cnf(c_0_1938_0,axiom,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1))
    | ~ hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X1),image_1210605179l_bool(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1938]) ).

cnf(c_0_1938_1,axiom,
    ( ~ hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X1),image_1210605179l_bool(X2,X3)))
    | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1938]) ).

cnf(c_0_1938_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3))
    | ~ hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X1),image_1210605179l_bool(X2,X3)))
    | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1938]) ).

cnf(c_0_1939_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),image_47868345e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1939]) ).

cnf(c_0_1939_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),image_47868345e_bool(X2,X3)))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1939]) ).

cnf(c_0_1939_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),image_47868345e_bool(X2,X3)))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1939]) ).

cnf(c_0_1940_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),image_70449425e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1940]) ).

cnf(c_0_1940_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),image_70449425e_bool(X2,X3)))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1940]) ).

cnf(c_0_1940_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),image_70449425e_bool(X2,X3)))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1940]) ).

cnf(c_0_1941_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_pname_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1941]) ).

cnf(c_0_1941_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_pname_pname(X2,X3)))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1941]) ).

cnf(c_0_1941_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_pname_pname(X2,X3)))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1941]) ).

cnf(c_0_1942_0,axiom,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1))
    | ~ hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X1),image_288317893l_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1942]) ).

cnf(c_0_1942_1,axiom,
    ( ~ hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X1),image_288317893l_bool(X2,X3)))
    | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1942]) ).

cnf(c_0_1942_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
    | ~ hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X1),image_288317893l_bool(X2,X3)))
    | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1942]) ).

cnf(c_0_1943_0,axiom,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1))
    | ~ hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X1),image_1642285373l_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1943]) ).

cnf(c_0_1943_1,axiom,
    ( ~ hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X1),image_1642285373l_bool(X2,X3)))
    | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1943]) ).

cnf(c_0_1943_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
    | ~ hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X1),image_1642285373l_bool(X2,X3)))
    | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1943]) ).

cnf(c_0_1944_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_516545147_state(X2,X3)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1944]) ).

cnf(c_0_1944_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_516545147_state(X2,X3)))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1944]) ).

cnf(c_0_1944_2,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_516545147_state(X2,X3)))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1944]) ).

cnf(c_0_1945_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_18964633_state(X2,X3)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1945]) ).

cnf(c_0_1945_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_18964633_state(X2,X3)))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1945]) ).

cnf(c_0_1945_2,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_18964633_state(X2,X3)))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1945]) ).

cnf(c_0_1946_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_892968839_state(X2,X3)))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1946]) ).

cnf(c_0_1946_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_892968839_state(X2,X3)))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1946]) ).

cnf(c_0_1946_2,axiom,
    ( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_892968839_state(X2,X3)))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1946]) ).

cnf(c_0_1947_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_677922117_state(X2,X3)))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1947]) ).

cnf(c_0_1947_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_677922117_state(X2,X3)))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1947]) ).

cnf(c_0_1947_2,axiom,
    ( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_677922117_state(X2,X3)))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1947]) ).

cnf(c_0_1948_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1283814551_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1948]) ).

cnf(c_0_1948_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1283814551_pname(X2,X3)))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1948]) ).

cnf(c_0_1948_2,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1283814551_pname(X2,X3)))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1948]) ).

cnf(c_0_1949_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_187965177_pname(X2,X3)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1949]) ).

cnf(c_0_1949_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_187965177_pname(X2,X3)))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1949]) ).

cnf(c_0_1949_2,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_187965177_pname(X2,X3)))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1949]) ).

cnf(c_0_1950_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1619336331_pname(X2,X3)))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1950]) ).

cnf(c_0_1950_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1619336331_pname(X2,X3)))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1950]) ).

cnf(c_0_1950_2,axiom,
    ( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1619336331_pname(X2,X3)))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1950]) ).

cnf(c_0_1951_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1705983821_pname(X2,X3)))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1951]) ).

cnf(c_0_1951_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1705983821_pname(X2,X3)))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1951]) ).

cnf(c_0_1951_2,axiom,
    ( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X3))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1705983821_pname(X2,X3)))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1951]) ).

cnf(c_0_1952_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1952]) ).

cnf(c_0_1952_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1952]) ).

cnf(c_0_1952_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1952]) ).

cnf(c_0_1953_0,axiom,
    ( collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),X2)) = insert1556680138e_bool(X1,bot_bo535777328l_bool)
    | ~ hBOOL(hAPP_f971112728l_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1953]) ).

cnf(c_0_1953_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(X2,X1))
    | collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),X2)) = insert1556680138e_bool(X1,bot_bo535777328l_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_1953]) ).

cnf(c_0_1954_0,axiom,
    ( collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),X2)) = insert1325755072e_bool(X1,bot_bo1649642514l_bool)
    | ~ hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1954]) ).

cnf(c_0_1954_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(X2,X1))
    | collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),X2)) = insert1325755072e_bool(X1,bot_bo1649642514l_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_1954]) ).

cnf(c_0_1955_0,axiom,
    ( collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),X2)) = insert1415133716_state(X1,bot_bo620288102e_bool)
    | ~ hBOOL(hAPP_H78829294e_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1955]) ).

cnf(c_0_1955_1,axiom,
    ( ~ hBOOL(hAPP_H78829294e_bool(X2,X1))
    | collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),X2)) = insert1415133716_state(X1,bot_bo620288102e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_1955]) ).

cnf(c_0_1956_0,axiom,
    ( collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),X2)) = insert_pname(X1,bot_bo844097828e_bool)
    | ~ hBOOL(hAPP_pname_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1956]) ).

cnf(c_0_1956_1,axiom,
    ( ~ hBOOL(hAPP_pname_bool(X2,X1))
    | collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),X2)) = insert_pname(X1,bot_bo844097828e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_1956]) ).

cnf(c_0_1957_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,X3)))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1957]) ).

cnf(c_0_1957_1,axiom,
    ( ~ is_pname(X1)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,X3)))
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1957]) ).

cnf(c_0_1957_2,axiom,
    ( ~ is_pname(X2)
    | ~ is_pname(X1)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1957]) ).

cnf(c_0_1957_3,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1957]) ).

cnf(c_0_1958_0,axiom,
    ( X2 = X1
    | ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1958]) ).

cnf(c_0_1958_1,axiom,
    ( ~ is_fun_pname_bool(X1)
    | X2 = X1
    | ~ is_fun_pname_bool(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1958]) ).

cnf(c_0_1958_2,axiom,
    ( ~ is_fun_pname_bool(X2)
    | ~ is_fun_pname_bool(X1)
    | X2 = X1
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1958]) ).

cnf(c_0_1958_3,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ is_fun_pname_bool(X2)
    | ~ is_fun_pname_bool(X1)
    | X2 = X1
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1958]) ).

cnf(c_0_1958_4,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ is_fun_pname_bool(X2)
    | ~ is_fun_pname_bool(X1)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1958]) ).

cnf(c_0_1959_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ is_fun_pname_bool(X2)
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1959]) ).

cnf(c_0_1959_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
    | X1 = X2
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ is_fun_pname_bool(X2)
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1959]) ).

cnf(c_0_1959_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
    | X1 = X2
    | ~ is_fun_pname_bool(X2)
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1959]) ).

cnf(c_0_1959_3,axiom,
    ( ~ is_fun_pname_bool(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
    | X1 = X2
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1959]) ).

cnf(c_0_1959_4,axiom,
    ( ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1959]) ).

cnf(c_0_1960_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ is_fun1661590463l_bool(X2)
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1960]) ).

cnf(c_0_1960_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),X1))
    | X1 = X2
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ is_fun1661590463l_bool(X2)
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1960]) ).

cnf(c_0_1960_2,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),X1))
    | X1 = X2
    | ~ is_fun1661590463l_bool(X2)
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1960]) ).

cnf(c_0_1960_3,axiom,
    ( ~ is_fun1661590463l_bool(X2)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),X1))
    | X1 = X2
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1960]) ).

cnf(c_0_1960_4,axiom,
    ( ~ is_fun1661590463l_bool(X1)
    | ~ is_fun1661590463l_bool(X2)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),X1))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1960]) ).

cnf(c_0_1961_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sk1_esk35_2(X2,X1)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1961]) ).

cnf(c_0_1961_1,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sk1_esk35_2(X2,X1)),X1))
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1961]) ).

cnf(c_0_1962_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk34_2(X2,X1)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1962]) ).

cnf(c_0_1962_1,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk34_2(X2,X1)),X1))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1962]) ).

cnf(c_0_1963_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),insert1415133716_state(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1963]) ).

cnf(c_0_1963_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),insert1415133716_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1963]) ).

cnf(c_0_1964_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1964]) ).

cnf(c_0_1964_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1964]) ).

cnf(c_0_1965_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1965]) ).

cnf(c_0_1965_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1965]) ).

cnf(c_0_1966_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1966]) ).

cnf(c_0_1966_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1966]) ).

cnf(c_0_1967_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1967]) ).

cnf(c_0_1967_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1967]) ).

cnf(c_0_1968_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,X3)))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1968]) ).

cnf(c_0_1968_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1968]) ).

cnf(c_0_1969_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),insert1556680138e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1969]) ).

cnf(c_0_1969_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X3))
    | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),insert1556680138e_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1969]) ).

cnf(c_0_1970_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),insert1325755072e_bool(X2,X3)))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1970]) ).

cnf(c_0_1970_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X3))
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),insert1325755072e_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1970]) ).

cnf(c_0_1971_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3)))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1971]) ).

cnf(c_0_1971_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1971]) ).

cnf(c_0_1972_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1972]) ).

cnf(c_0_1972_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1))
    | X1 = X2
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1972]) ).

cnf(c_0_1972_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1972]) ).

cnf(c_0_1973_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X2),X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1973]) ).

cnf(c_0_1973_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X2),X1))
    | X1 = X2
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1973]) ).

cnf(c_0_1973_2,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X2),X1))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1973]) ).

cnf(c_0_1974_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1974]) ).

cnf(c_0_1974_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1))
    | X1 = X2
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1974]) ).

cnf(c_0_1974_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1974]) ).

cnf(c_0_1975_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,bot_bo620288102e_bool)))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1975]) ).

cnf(c_0_1975_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,X3)))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,bot_bo620288102e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_1975]) ).

cnf(c_0_1976_0,axiom,
    ( collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),X2)) = bot_bo535777328l_bool
    | hBOOL(hAPP_f971112728l_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1976]) ).

cnf(c_0_1976_1,axiom,
    ( hBOOL(hAPP_f971112728l_bool(X2,X1))
    | collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),X2)) = bot_bo535777328l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_1976]) ).

cnf(c_0_1977_0,axiom,
    ( collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),X2)) = bot_bo1649642514l_bool
    | hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1977]) ).

cnf(c_0_1977_1,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(X2,X1))
    | collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),X2)) = bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_1977]) ).

cnf(c_0_1978_0,axiom,
    ( collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),X2)) = bot_bo620288102e_bool
    | hBOOL(hAPP_H78829294e_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1978]) ).

cnf(c_0_1978_1,axiom,
    ( hBOOL(hAPP_H78829294e_bool(X2,X1))
    | collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),X2)) = bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_1978]) ).

cnf(c_0_1979_0,axiom,
    ( collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),X2)) = bot_bo844097828e_bool
    | hBOOL(hAPP_pname_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1979]) ).

cnf(c_0_1979_1,axiom,
    ( hBOOL(hAPP_pname_bool(X2,X1))
    | collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),X2)) = bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_1979]) ).

cnf(c_0_1980_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2),bot_bo620288102e_bool)))
    | is_pname(sk1_esk23_2(X2,X1))
    | ~ hBOOL(hoare_165779456gleton)
    | ~ hBOOL(wt(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1980]) ).

cnf(c_0_1980_1,axiom,
    ( is_pname(sk1_esk23_2(X2,X1))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2),bot_bo620288102e_bool)))
    | ~ hBOOL(hoare_165779456gleton)
    | ~ hBOOL(wt(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1980]) ).

cnf(c_0_1980_2,axiom,
    ( ~ hBOOL(hoare_165779456gleton)
    | is_pname(sk1_esk23_2(X2,X1))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2),bot_bo620288102e_bool)))
    | ~ hBOOL(wt(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1980]) ).

cnf(c_0_1980_3,axiom,
    ( ~ hBOOL(wt(X2))
    | ~ hBOOL(hoare_165779456gleton)
    | is_pname(sk1_esk23_2(X2,X1))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2),bot_bo620288102e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_1980]) ).

cnf(c_0_1981_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1981]) ).

cnf(c_0_1981_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X1))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1981]) ).

cnf(c_0_1981_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X1))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1981]) ).

cnf(c_0_1982_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1982]) ).

cnf(c_0_1982_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1982]) ).

cnf(c_0_1982_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1982]) ).

cnf(c_0_1983_0,axiom,
    ( collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X1)),X2)) = insert1556680138e_bool(X1,bot_bo535777328l_bool)
    | ~ hBOOL(hAPP_f971112728l_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1983]) ).

cnf(c_0_1983_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(X2,X1))
    | collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X1)),X2)) = insert1556680138e_bool(X1,bot_bo535777328l_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_1983]) ).

cnf(c_0_1984_0,axiom,
    ( collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),X2)) = insert1325755072e_bool(X1,bot_bo1649642514l_bool)
    | ~ hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1984]) ).

cnf(c_0_1984_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(X2,X1))
    | collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),X2)) = insert1325755072e_bool(X1,bot_bo1649642514l_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_1984]) ).

cnf(c_0_1985_0,axiom,
    ( collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X1)),X2)) = insert1415133716_state(X1,bot_bo620288102e_bool)
    | ~ hBOOL(hAPP_H78829294e_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1985]) ).

cnf(c_0_1985_1,axiom,
    ( ~ hBOOL(hAPP_H78829294e_bool(X2,X1))
    | collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X1)),X2)) = insert1415133716_state(X1,bot_bo620288102e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_1985]) ).

cnf(c_0_1986_0,axiom,
    ( collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1)),X2)) = insert_pname(X1,bot_bo844097828e_bool)
    | ~ hBOOL(hAPP_pname_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1986]) ).

cnf(c_0_1986_1,axiom,
    ( ~ hBOOL(hAPP_pname_bool(X2,X1))
    | collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1)),X2)) = insert_pname(X1,bot_bo844097828e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_1986]) ).

cnf(c_0_1987_0,axiom,
    ( X1 = insert_pname(X2,bot_bo844097828e_bool)
    | X1 = bot_bo844097828e_bool
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X2,bot_bo844097828e_bool)))
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1987]) ).

cnf(c_0_1987_1,axiom,
    ( X1 = bot_bo844097828e_bool
    | X1 = insert_pname(X2,bot_bo844097828e_bool)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X2,bot_bo844097828e_bool)))
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1987]) ).

cnf(c_0_1987_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X2,bot_bo844097828e_bool)))
    | X1 = bot_bo844097828e_bool
    | X1 = insert_pname(X2,bot_bo844097828e_bool)
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1987]) ).

cnf(c_0_1987_3,axiom,
    ( ~ is_fun_pname_bool(X1)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X2,bot_bo844097828e_bool)))
    | X1 = bot_bo844097828e_bool
    | X1 = insert_pname(X2,bot_bo844097828e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_1987]) ).

cnf(c_0_1988_0,axiom,
    ( X1 = insert1325755072e_bool(X2,bot_bo1649642514l_bool)
    | X1 = bot_bo1649642514l_bool
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),insert1325755072e_bool(X2,bot_bo1649642514l_bool)))
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1988]) ).

cnf(c_0_1988_1,axiom,
    ( X1 = bot_bo1649642514l_bool
    | X1 = insert1325755072e_bool(X2,bot_bo1649642514l_bool)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),insert1325755072e_bool(X2,bot_bo1649642514l_bool)))
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1988]) ).

cnf(c_0_1988_2,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),insert1325755072e_bool(X2,bot_bo1649642514l_bool)))
    | X1 = bot_bo1649642514l_bool
    | X1 = insert1325755072e_bool(X2,bot_bo1649642514l_bool)
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1988]) ).

cnf(c_0_1988_3,axiom,
    ( ~ is_fun1661590463l_bool(X1)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),insert1325755072e_bool(X2,bot_bo1649642514l_bool)))
    | X1 = bot_bo1649642514l_bool
    | X1 = insert1325755072e_bool(X2,bot_bo1649642514l_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_1988]) ).

cnf(c_0_1989_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
    | X1 = X2
    | ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | insert_pname(X3,X1) != insert_pname(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1989]) ).

cnf(c_0_1989_1,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
    | X1 = X2
    | ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | insert_pname(X3,X1) != insert_pname(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1989]) ).

cnf(c_0_1989_2,axiom,
    ( X1 = X2
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
    | ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | insert_pname(X3,X1) != insert_pname(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1989]) ).

cnf(c_0_1989_3,axiom,
    ( ~ is_fun_pname_bool(X1)
    | X1 = X2
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
    | ~ is_fun_pname_bool(X2)
    | insert_pname(X3,X1) != insert_pname(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1989]) ).

cnf(c_0_1989_4,axiom,
    ( ~ is_fun_pname_bool(X2)
    | ~ is_fun_pname_bool(X1)
    | X1 = X2
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
    | insert_pname(X3,X1) != insert_pname(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1989]) ).

cnf(c_0_1989_5,axiom,
    ( insert_pname(X3,X1) != insert_pname(X3,X2)
    | ~ is_fun_pname_bool(X2)
    | ~ is_fun_pname_bool(X1)
    | X1 = X2
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1989]) ).

cnf(c_0_1990_0,axiom,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),X1))))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1990]) ).

cnf(c_0_1990_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1990]) ).

cnf(c_0_1991_0,axiom,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(ord_le287025148l_bool),X1))))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1991]) ).

cnf(c_0_1991_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(ord_le287025148l_bool),X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1991]) ).

cnf(c_0_1992_0,axiom,
    ( hBOOL(hAPP_f1022807134l_bool(finite34021339l_bool,collec256567069l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(ord_le889598034l_bool),X1))))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1992]) ).

cnf(c_0_1992_1,axiom,
    ( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1))
    | hBOOL(hAPP_f1022807134l_bool(finite34021339l_bool,collec256567069l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(ord_le889598034l_bool),X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1992]) ).

cnf(c_0_1993_0,axiom,
    ( hBOOL(hAPP_f595608956l_bool(finite1491191519l_bool,collec792590109l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(ord_le1375671464l_bool),X1))))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1993]) ).

cnf(c_0_1993_1,axiom,
    ( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1))
    | hBOOL(hAPP_f595608956l_bool(finite1491191519l_bool,collec792590109l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(ord_le1375671464l_bool),X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1993]) ).

cnf(c_0_1994_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(ord_le1285840794e_bool),X1))))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1994]) ).

cnf(c_0_1994_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(ord_le1285840794e_bool),X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1994]) ).

cnf(c_0_1995_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),X1))))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1995]) ).

cnf(c_0_1995_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1995]) ).

cnf(c_0_1996_0,axiom,
    ( X2 = X1
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,bot_bo844097828e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_1996]) ).

cnf(c_0_1996_1,axiom,
    ( ~ is_pname(X1)
    | X2 = X1
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,bot_bo844097828e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_1996]) ).

cnf(c_0_1996_2,axiom,
    ( ~ is_pname(X2)
    | ~ is_pname(X1)
    | X2 = X1
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,bot_bo844097828e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_1996]) ).

cnf(c_0_1996_3,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,bot_bo844097828e_bool)))
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1996]) ).

cnf(c_0_1997_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,bot_bo844097828e_bool)))
    | ~ is_pname(X2)
    | ~ is_pname(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1997]) ).

cnf(c_0_1997_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,bot_bo844097828e_bool)))
    | X1 = X2
    | ~ is_pname(X2)
    | ~ is_pname(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1997]) ).

cnf(c_0_1997_2,axiom,
    ( ~ is_pname(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,bot_bo844097828e_bool)))
    | X1 = X2
    | ~ is_pname(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1997]) ).

cnf(c_0_1997_3,axiom,
    ( ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,bot_bo844097828e_bool)))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1997]) ).

cnf(c_0_1998_0,axiom,
    ( X1 = insert1556680138e_bool(X2,bot_bo535777328l_bool)
    | X1 = bot_bo535777328l_bool
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),insert1556680138e_bool(X2,bot_bo535777328l_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_1998]) ).

cnf(c_0_1998_1,axiom,
    ( X1 = bot_bo535777328l_bool
    | X1 = insert1556680138e_bool(X2,bot_bo535777328l_bool)
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),insert1556680138e_bool(X2,bot_bo535777328l_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_1998]) ).

cnf(c_0_1998_2,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),insert1556680138e_bool(X2,bot_bo535777328l_bool)))
    | X1 = bot_bo535777328l_bool
    | X1 = insert1556680138e_bool(X2,bot_bo535777328l_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_1998]) ).

cnf(c_0_1999_0,axiom,
    ( X1 = insert1415133716_state(X2,bot_bo620288102e_bool)
    | X1 = bot_bo620288102e_bool
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),insert1415133716_state(X2,bot_bo620288102e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_1999]) ).

cnf(c_0_1999_1,axiom,
    ( X1 = bot_bo620288102e_bool
    | X1 = insert1415133716_state(X2,bot_bo620288102e_bool)
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),insert1415133716_state(X2,bot_bo620288102e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_1999]) ).

cnf(c_0_1999_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),insert1415133716_state(X2,bot_bo620288102e_bool)))
    | X1 = bot_bo620288102e_bool
    | X1 = insert1415133716_state(X2,bot_bo620288102e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_1999]) ).

cnf(c_0_2000_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1),bot_bo620288102e_bool)))
    | ~ hBOOL(wt(X1))
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(hoare_165779456gleton) ),
    inference(literals_permutation,[status(thm)],[c_0_2000]) ).

cnf(c_0_2000_1,axiom,
    ( ~ hBOOL(wt(X1))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1),bot_bo620288102e_bool)))
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(hoare_165779456gleton) ),
    inference(literals_permutation,[status(thm)],[c_0_2000]) ).

cnf(c_0_2000_2,axiom,
    ( ~ hBOOL(wT_bodies)
    | ~ hBOOL(wt(X1))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1),bot_bo620288102e_bool)))
    | ~ hBOOL(hoare_165779456gleton) ),
    inference(literals_permutation,[status(thm)],[c_0_2000]) ).

cnf(c_0_2000_3,axiom,
    ( ~ hBOOL(hoare_165779456gleton)
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(wt(X1))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1),bot_bo620288102e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_2000]) ).

cnf(c_0_2001_0,axiom,
    ( insert1415133716_state(hAPP_p1422361149_state(X1,X2),image_2003357581_state(X1,X3)) = image_2003357581_state(X1,X3)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2001]) ).

cnf(c_0_2001_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
    | insert1415133716_state(hAPP_p1422361149_state(X1,X2),image_2003357581_state(X1,X3)) = image_2003357581_state(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2001]) ).

cnf(c_0_2002_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | X2 = X3
    | insert1415133716_state(X1,X2) != insert1415133716_state(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2002]) ).

cnf(c_0_2002_1,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | X2 = X3
    | insert1415133716_state(X1,X2) != insert1415133716_state(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2002]) ).

cnf(c_0_2002_2,axiom,
    ( X2 = X3
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | insert1415133716_state(X1,X2) != insert1415133716_state(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2002]) ).

cnf(c_0_2002_3,axiom,
    ( insert1415133716_state(X1,X2) != insert1415133716_state(X1,X3)
    | X2 = X3
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2002]) ).

cnf(c_0_2003_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
    | insert_pname(X3,X1) = insert_pname(X3,X2)
    | ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2003]) ).

cnf(c_0_2003_1,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
    | insert_pname(X3,X1) = insert_pname(X3,X2)
    | ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2003]) ).

cnf(c_0_2003_2,axiom,
    ( insert_pname(X3,X1) = insert_pname(X3,X2)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
    | ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2003]) ).

cnf(c_0_2003_3,axiom,
    ( ~ is_fun_pname_bool(X1)
    | insert_pname(X3,X1) = insert_pname(X3,X2)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
    | ~ is_fun_pname_bool(X2)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2003]) ).

cnf(c_0_2003_4,axiom,
    ( ~ is_fun_pname_bool(X2)
    | ~ is_fun_pname_bool(X1)
    | insert_pname(X3,X1) = insert_pname(X3,X2)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2003]) ).

cnf(c_0_2003_5,axiom,
    ( X1 != X2
    | ~ is_fun_pname_bool(X2)
    | ~ is_fun_pname_bool(X1)
    | insert_pname(X3,X1) = insert_pname(X3,X2)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2003]) ).

cnf(c_0_2004_0,axiom,
    ( collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X1)),X2)) = bot_bo535777328l_bool
    | hBOOL(hAPP_f971112728l_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2004]) ).

cnf(c_0_2004_1,axiom,
    ( hBOOL(hAPP_f971112728l_bool(X2,X1))
    | collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X1)),X2)) = bot_bo535777328l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2004]) ).

cnf(c_0_2005_0,axiom,
    ( collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),X2)) = bot_bo1649642514l_bool
    | hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2005]) ).

cnf(c_0_2005_1,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(X2,X1))
    | collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),X2)) = bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2005]) ).

cnf(c_0_2006_0,axiom,
    ( collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X1)),X2)) = bot_bo620288102e_bool
    | hBOOL(hAPP_H78829294e_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2006]) ).

cnf(c_0_2006_1,axiom,
    ( hBOOL(hAPP_H78829294e_bool(X2,X1))
    | collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X1)),X2)) = bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2006]) ).

cnf(c_0_2007_0,axiom,
    ( collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1)),X2)) = bot_bo844097828e_bool
    | hBOOL(hAPP_pname_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2007]) ).

cnf(c_0_2007_1,axiom,
    ( hBOOL(hAPP_pname_bool(X2,X1))
    | collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1)),X2)) = bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2007]) ).

cnf(c_0_2008_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,bot_bo620288102e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_2008]) ).

cnf(c_0_2008_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,bot_bo620288102e_bool)))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2008]) ).

cnf(c_0_2009_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,bot_bo620288102e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_2009]) ).

cnf(c_0_2009_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,bot_bo620288102e_bool)))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2009]) ).

cnf(c_0_2010_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2010]) ).

cnf(c_0_2010_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,X3)))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2010]) ).

cnf(c_0_2011_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2011]) ).

cnf(c_0_2011_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2011]) ).

cnf(c_0_2011_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2011]) ).

cnf(c_0_2012_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2012]) ).

cnf(c_0_2012_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2012]) ).

cnf(c_0_2012_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2012]) ).

cnf(c_0_2013_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2013]) ).

cnf(c_0_2013_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2013]) ).

cnf(c_0_2013_2,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2013]) ).

cnf(c_0_2014_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2014]) ).

cnf(c_0_2014_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2014]) ).

cnf(c_0_2014_2,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2014]) ).

cnf(c_0_2015_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2015]) ).

cnf(c_0_2015_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2015]) ).

cnf(c_0_2015_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2015]) ).

cnf(c_0_2016_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2016]) ).

cnf(c_0_2016_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2016]) ).

cnf(c_0_2016_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2016]) ).

cnf(c_0_2017_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2017]) ).

cnf(c_0_2017_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2017]) ).

cnf(c_0_2017_2,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2017]) ).

cnf(c_0_2018_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2018]) ).

cnf(c_0_2018_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2018]) ).

cnf(c_0_2018_2,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2018]) ).

cnf(c_0_2019_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | insert1415133716_state(X1,X2) = insert1415133716_state(X1,X3)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2019]) ).

cnf(c_0_2019_1,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | insert1415133716_state(X1,X2) = insert1415133716_state(X1,X3)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2019]) ).

cnf(c_0_2019_2,axiom,
    ( insert1415133716_state(X1,X2) = insert1415133716_state(X1,X3)
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2019]) ).

cnf(c_0_2019_3,axiom,
    ( X2 != X3
    | insert1415133716_state(X1,X2) = insert1415133716_state(X1,X3)
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2019]) ).

cnf(c_0_2020_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2020]) ).

cnf(c_0_2020_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2020]) ).

cnf(c_0_2020_2,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2020]) ).

cnf(c_0_2021_0,axiom,
    ( hBOOL(hAPP_pname_bool(X3,X1))
    | X2 = X1
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_pname_bool(insert_pname(X2,X3),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2021]) ).

cnf(c_0_2021_1,axiom,
    ( X2 = X1
    | hBOOL(hAPP_pname_bool(X3,X1))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_pname_bool(insert_pname(X2,X3),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2021]) ).

cnf(c_0_2021_2,axiom,
    ( ~ is_pname(X1)
    | X2 = X1
    | hBOOL(hAPP_pname_bool(X3,X1))
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_pname_bool(insert_pname(X2,X3),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2021]) ).

cnf(c_0_2021_3,axiom,
    ( ~ is_pname(X2)
    | ~ is_pname(X1)
    | X2 = X1
    | hBOOL(hAPP_pname_bool(X3,X1))
    | ~ hBOOL(hAPP_pname_bool(insert_pname(X2,X3),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2021]) ).

cnf(c_0_2021_4,axiom,
    ( ~ hBOOL(hAPP_pname_bool(insert_pname(X2,X3),X1))
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | X2 = X1
    | hBOOL(hAPP_pname_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2021]) ).

cnf(c_0_2022_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2022]) ).

cnf(c_0_2022_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2022]) ).

cnf(c_0_2023_0,axiom,
    ( hBOOL(hAPP_H78829294e_bool(X1,X2))
    | X3 = X2
    | ~ hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X3,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2023]) ).

cnf(c_0_2023_1,axiom,
    ( X3 = X2
    | hBOOL(hAPP_H78829294e_bool(X1,X2))
    | ~ hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X3,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2023]) ).

cnf(c_0_2023_2,axiom,
    ( ~ hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X3,X1),X2))
    | X3 = X2
    | hBOOL(hAPP_H78829294e_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2023]) ).

cnf(c_0_2024_0,axiom,
    ( image_187965177_pname(cOMBK_1589414042e_bool(X1),X2) = insert_pname(X1,bot_bo844097828e_bool)
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2024]) ).

cnf(c_0_2024_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X3),X2))
    | image_187965177_pname(cOMBK_1589414042e_bool(X1),X2) = insert_pname(X1,bot_bo844097828e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2024]) ).

cnf(c_0_2025_0,axiom,
    ( image_1283814551_pname(cOMBK_948730864e_bool(X1),X2) = insert_pname(X1,bot_bo844097828e_bool)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2025]) ).

cnf(c_0_2025_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X3),X2))
    | image_1283814551_pname(cOMBK_948730864e_bool(X1),X2) = insert_pname(X1,bot_bo844097828e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2025]) ).

cnf(c_0_2026_0,axiom,
    ( image_18964633_state(cOMBK_701929478e_bool(X1),X2) = insert1415133716_state(X1,bot_bo620288102e_bool)
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2026]) ).

cnf(c_0_2026_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X3),X2))
    | image_18964633_state(cOMBK_701929478e_bool(X1),X2) = insert1415133716_state(X1,bot_bo620288102e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2026]) ).

cnf(c_0_2027_0,axiom,
    ( image_516545147_state(cOMBK_1503445380e_bool(X1),X2) = insert1415133716_state(X1,bot_bo620288102e_bool)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2027]) ).

cnf(c_0_2027_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X3),X2))
    | image_516545147_state(cOMBK_1503445380e_bool(X1),X2) = insert1415133716_state(X1,bot_bo620288102e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2027]) ).

cnf(c_0_2028_0,axiom,
    ( image_pname_pname(cOMBK_pname_pname(X1),X2) = insert_pname(X1,bot_bo844097828e_bool)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2028]) ).

cnf(c_0_2028_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
    | image_pname_pname(cOMBK_pname_pname(X1),X2) = insert_pname(X1,bot_bo844097828e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2028]) ).

cnf(c_0_2029_0,axiom,
    ( image_70449425e_bool(cOMBK_1706929794_pname(X1),X2) = insert1556680138e_bool(X1,bot_bo535777328l_bool)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2029]) ).

cnf(c_0_2029_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
    | image_70449425e_bool(cOMBK_1706929794_pname(X1),X2) = insert1556680138e_bool(X1,bot_bo535777328l_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2029]) ).

cnf(c_0_2030_0,axiom,
    ( image_47868345e_bool(cOMBK_37193422_pname(X1),X2) = insert1325755072e_bool(X1,bot_bo1649642514l_bool)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2030]) ).

cnf(c_0_2030_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
    | image_47868345e_bool(cOMBK_37193422_pname(X1),X2) = insert1325755072e_bool(X1,bot_bo1649642514l_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2030]) ).

cnf(c_0_2031_0,axiom,
    ( image_1828608335e_bool(cOMBK_1039769424_state(X1),X2) = insert1556680138e_bool(X1,bot_bo535777328l_bool)
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2031]) ).

cnf(c_0_2031_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X2))
    | image_1828608335e_bool(cOMBK_1039769424_state(X1),X2) = insert1556680138e_bool(X1,bot_bo535777328l_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2031]) ).

cnf(c_0_2032_0,axiom,
    ( image_2131964411e_bool(cOMBK_2035509764_state(X1),X2) = insert1325755072e_bool(X1,bot_bo1649642514l_bool)
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2032]) ).

cnf(c_0_2032_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X2))
    | image_2131964411e_bool(cOMBK_2035509764_state(X1),X2) = insert1325755072e_bool(X1,bot_bo1649642514l_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2032]) ).

cnf(c_0_2033_0,axiom,
    ( image_54689091_pname(cOMBK_168215364_state(X1),X2) = insert_pname(X1,bot_bo844097828e_bool)
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2033]) ).

cnf(c_0_2033_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X2))
    | image_54689091_pname(cOMBK_168215364_state(X1),X2) = insert_pname(X1,bot_bo844097828e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2033]) ).

cnf(c_0_2034_0,axiom,
    ( image_2003357581_state(cOMBK_367030522_pname(X1),X2) = insert1415133716_state(X1,bot_bo620288102e_bool)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2034]) ).

cnf(c_0_2034_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
    | image_2003357581_state(cOMBK_367030522_pname(X1),X2) = insert1415133716_state(X1,bot_bo620288102e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2034]) ).

cnf(c_0_2035_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2035]) ).

cnf(c_0_2035_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X2,X1)))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2035]) ).

cnf(c_0_2036_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2036]) ).

cnf(c_0_2036_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X2,X1)))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2036]) ).

cnf(c_0_2037_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2037]) ).

cnf(c_0_2037_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X2,X1)))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2037]) ).

cnf(c_0_2038_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2038]) ).

cnf(c_0_2038_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X2,X1)))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2038]) ).

cnf(c_0_2039_0,axiom,
    ( hBOOL(hAPP_H78829294e_bool(X1,X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2039]) ).

cnf(c_0_2039_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),X1))
    | hBOOL(hAPP_H78829294e_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2039]) ).

cnf(c_0_2040_0,axiom,
    ( hBOOL(hAPP_pname_bool(X1,X2))
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2040]) ).

cnf(c_0_2040_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
    | hBOOL(hAPP_pname_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2040]) ).

cnf(c_0_2041_0,axiom,
    ( X4 = X2
    | X4 = X1
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2041]) ).

cnf(c_0_2041_1,axiom,
    ( X4 = X1
    | X4 = X2
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2041]) ).

cnf(c_0_2041_2,axiom,
    ( ~ is_pname(X1)
    | X4 = X1
    | X4 = X2
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2041]) ).

cnf(c_0_2041_3,axiom,
    ( ~ is_pname(X2)
    | ~ is_pname(X1)
    | X4 = X1
    | X4 = X2
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2041]) ).

cnf(c_0_2041_4,axiom,
    ( ~ is_pname(X3)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | X4 = X1
    | X4 = X2
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2041]) ).

cnf(c_0_2041_5,axiom,
    ( ~ is_pname(X4)
    | ~ is_pname(X3)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | X4 = X1
    | X4 = X2
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2041]) ).

cnf(c_0_2041_6,axiom,
    ( insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool))
    | ~ is_pname(X4)
    | ~ is_pname(X3)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | X4 = X1
    | X4 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2041]) ).

cnf(c_0_2042_0,axiom,
    ( X4 = X2
    | X3 = X2
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2042]) ).

cnf(c_0_2042_1,axiom,
    ( X3 = X2
    | X4 = X2
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2042]) ).

cnf(c_0_2042_2,axiom,
    ( ~ is_pname(X1)
    | X3 = X2
    | X4 = X2
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2042]) ).

cnf(c_0_2042_3,axiom,
    ( ~ is_pname(X2)
    | ~ is_pname(X1)
    | X3 = X2
    | X4 = X2
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2042]) ).

cnf(c_0_2042_4,axiom,
    ( ~ is_pname(X3)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | X3 = X2
    | X4 = X2
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2042]) ).

cnf(c_0_2042_5,axiom,
    ( ~ is_pname(X4)
    | ~ is_pname(X3)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | X3 = X2
    | X4 = X2
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2042]) ).

cnf(c_0_2042_6,axiom,
    ( insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool))
    | ~ is_pname(X4)
    | ~ is_pname(X3)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | X3 = X2
    | X4 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2042]) ).

cnf(c_0_2043_0,axiom,
    ( X3 = X1
    | X4 = X1
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2043]) ).

cnf(c_0_2043_1,axiom,
    ( X4 = X1
    | X3 = X1
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2043]) ).

cnf(c_0_2043_2,axiom,
    ( ~ is_pname(X1)
    | X4 = X1
    | X3 = X1
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2043]) ).

cnf(c_0_2043_3,axiom,
    ( ~ is_pname(X2)
    | ~ is_pname(X1)
    | X4 = X1
    | X3 = X1
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2043]) ).

cnf(c_0_2043_4,axiom,
    ( ~ is_pname(X3)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | X4 = X1
    | X3 = X1
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2043]) ).

cnf(c_0_2043_5,axiom,
    ( ~ is_pname(X4)
    | ~ is_pname(X3)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | X4 = X1
    | X3 = X1
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2043]) ).

cnf(c_0_2043_6,axiom,
    ( insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool))
    | ~ is_pname(X4)
    | ~ is_pname(X3)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | X4 = X1
    | X3 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2043]) ).

cnf(c_0_2044_0,axiom,
    ( X3 = X1
    | X3 = X2
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2044]) ).

cnf(c_0_2044_1,axiom,
    ( X3 = X2
    | X3 = X1
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2044]) ).

cnf(c_0_2044_2,axiom,
    ( ~ is_pname(X1)
    | X3 = X2
    | X3 = X1
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2044]) ).

cnf(c_0_2044_3,axiom,
    ( ~ is_pname(X2)
    | ~ is_pname(X1)
    | X3 = X2
    | X3 = X1
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2044]) ).

cnf(c_0_2044_4,axiom,
    ( ~ is_pname(X3)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | X3 = X2
    | X3 = X1
    | ~ is_pname(X4)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2044]) ).

cnf(c_0_2044_5,axiom,
    ( ~ is_pname(X4)
    | ~ is_pname(X3)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | X3 = X2
    | X3 = X1
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2044]) ).

cnf(c_0_2044_6,axiom,
    ( insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool))
    | ~ is_pname(X4)
    | ~ is_pname(X3)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | X3 = X2
    | X3 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2044]) ).

cnf(c_0_2045_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,X3)))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2045]) ).

cnf(c_0_2045_1,axiom,
    ( ~ is_pname(X1)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,X3)))
    | ~ is_pname(X2)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2045]) ).

cnf(c_0_2045_2,axiom,
    ( ~ is_pname(X2)
    | ~ is_pname(X1)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,X3)))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2045]) ).

cnf(c_0_2045_3,axiom,
    ( X2 != X1
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2045]) ).

cnf(c_0_2046_0,axiom,
    ( hBOOL(hAPP_pname_bool(insert_pname(X2,X3),X1))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_pname_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2046]) ).

cnf(c_0_2046_1,axiom,
    ( ~ is_pname(X1)
    | hBOOL(hAPP_pname_bool(insert_pname(X2,X3),X1))
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_pname_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2046]) ).

cnf(c_0_2046_2,axiom,
    ( ~ is_pname(X2)
    | ~ is_pname(X1)
    | hBOOL(hAPP_pname_bool(insert_pname(X2,X3),X1))
    | ~ hBOOL(hAPP_pname_bool(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2046]) ).

cnf(c_0_2046_3,axiom,
    ( ~ hBOOL(hAPP_pname_bool(X3,X1))
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | hBOOL(hAPP_pname_bool(insert_pname(X2,X3),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2046]) ).

cnf(c_0_2047_0,axiom,
    ( insert_pname(X1,X2) = X2
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ is_fun_pname_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2047]) ).

cnf(c_0_2047_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | insert_pname(X1,X2) = X2
    | ~ is_fun_pname_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2047]) ).

cnf(c_0_2047_2,axiom,
    ( ~ is_fun_pname_bool(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | insert_pname(X1,X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2047]) ).

cnf(c_0_2048_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,bot_bo844097828e_bool)))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2048]) ).

cnf(c_0_2048_1,axiom,
    ( ~ is_pname(X1)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,bot_bo844097828e_bool)))
    | ~ is_pname(X2)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2048]) ).

cnf(c_0_2048_2,axiom,
    ( ~ is_pname(X2)
    | ~ is_pname(X1)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,bot_bo844097828e_bool)))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2048]) ).

cnf(c_0_2048_3,axiom,
    ( X2 != X1
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,bot_bo844097828e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_2048]) ).

cnf(c_0_2049_0,axiom,
    ( ~ is_fun_pname_bool(X1)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
    | ~ is_pname(X2)
    | X1 != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2049]) ).

cnf(c_0_2049_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
    | ~ is_fun_pname_bool(X1)
    | ~ is_pname(X2)
    | X1 != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2049]) ).

cnf(c_0_2049_2,axiom,
    ( ~ is_pname(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2049]) ).

cnf(c_0_2049_3,axiom,
    ( X1 != bot_bo844097828e_bool
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2049]) ).

cnf(c_0_2050_0,axiom,
    ( ~ is_fun1661590463l_bool(X1)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X1))
    | ~ is_fun_pname_bool(X2)
    | X1 != bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2050]) ).

cnf(c_0_2050_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X1))
    | ~ is_fun1661590463l_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | X1 != bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2050]) ).

cnf(c_0_2050_2,axiom,
    ( ~ is_fun_pname_bool(X2)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X1))
    | ~ is_fun1661590463l_bool(X1)
    | X1 != bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2050]) ).

cnf(c_0_2050_3,axiom,
    ( X1 != bot_bo1649642514l_bool
    | ~ is_fun_pname_bool(X2)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X1))
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2050]) ).

cnf(c_0_2051_0,axiom,
    ( ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
    | ~ is_pname(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2051]) ).

cnf(c_0_2051_1,axiom,
    ( X1 != bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
    | ~ is_pname(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2051]) ).

cnf(c_0_2051_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
    | X1 != bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | ~ is_pname(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2051]) ).

cnf(c_0_2051_3,axiom,
    ( ~ is_pname(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
    | X1 != bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2051]) ).

cnf(c_0_2052_0,axiom,
    ( ~ is_fun1661590463l_bool(X1)
    | X1 != bot_bo1649642514l_bool
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X1))
    | ~ is_fun_pname_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2052]) ).

cnf(c_0_2052_1,axiom,
    ( X1 != bot_bo1649642514l_bool
    | ~ is_fun1661590463l_bool(X1)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X1))
    | ~ is_fun_pname_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2052]) ).

cnf(c_0_2052_2,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X1))
    | X1 != bot_bo1649642514l_bool
    | ~ is_fun1661590463l_bool(X1)
    | ~ is_fun_pname_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2052]) ).

cnf(c_0_2052_3,axiom,
    ( ~ is_fun_pname_bool(X2)
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X1))
    | X1 != bot_bo1649642514l_bool
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2052]) ).

cnf(c_0_2053_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))
    | ~ is_fun_pname_bool(X2)
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2053]) ).

cnf(c_0_2053_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))
    | X1 = X2
    | ~ is_fun_pname_bool(X2)
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2053]) ).

cnf(c_0_2053_2,axiom,
    ( ~ is_fun_pname_bool(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))
    | X1 = X2
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2053]) ).

cnf(c_0_2053_3,axiom,
    ( ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2053]) ).

cnf(c_0_2054_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))
    | ~ is_pname(X2)
    | ~ is_pname(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2054]) ).

cnf(c_0_2054_1,axiom,
    ( ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))
    | X1 = X2
    | ~ is_pname(X2)
    | ~ is_pname(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2054]) ).

cnf(c_0_2054_2,axiom,
    ( ~ is_pname(X2)
    | ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))
    | X1 = X2
    | ~ is_pname(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2054]) ).

cnf(c_0_2054_3,axiom,
    ( ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2054]) ).

cnf(c_0_2056_0,axiom,
    ( insert1415133716_state(X1,X2) = X2
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2056]) ).

cnf(c_0_2056_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | insert1415133716_state(X1,X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2056]) ).

cnf(c_0_2057_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3)))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2057]) ).

cnf(c_0_2057_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2057]) ).

cnf(c_0_2058_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,X3)))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2058]) ).

cnf(c_0_2058_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2058]) ).

cnf(c_0_2059_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),insert1556680138e_bool(X2,X3)))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2059]) ).

cnf(c_0_2059_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),insert1556680138e_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2059]) ).

cnf(c_0_2060_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),insert1325755072e_bool(X2,X3)))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2060]) ).

cnf(c_0_2060_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),insert1325755072e_bool(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2060]) ).

cnf(c_0_2061_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3)))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2061]) ).

cnf(c_0_2061_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2061]) ).

cnf(c_0_2062_0,axiom,
    ( hBOOL(X1)
    | ~ hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2062]) ).

cnf(c_0_2062_1,axiom,
    ( ~ hBOOL(X2)
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2062]) ).

cnf(c_0_2062_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X2),X1))
    | ~ hBOOL(X2)
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2062]) ).

cnf(c_0_2063_0,axiom,
    ( hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X1,X2),X3))
    | ~ hBOOL(hAPP_H78829294e_bool(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2063]) ).

cnf(c_0_2063_1,axiom,
    ( ~ hBOOL(hAPP_H78829294e_bool(X2,X3))
    | hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2063]) ).

cnf(c_0_2064_0,axiom,
    ( hBOOL(X1)
    | hBOOL(X2)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2064]) ).

cnf(c_0_2064_1,axiom,
    ( hBOOL(X2)
    | hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2064]) ).

cnf(c_0_2064_2,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X2),X1))
    | hBOOL(X2)
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2064]) ).

cnf(c_0_2069_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,bot_bo620288102e_bool)))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2069]) ).

cnf(c_0_2069_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,bot_bo620288102e_bool))) ),
    inference(literals_permutation,[status(thm)],[c_0_2069]) ).

cnf(c_0_2070_0,axiom,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2070]) ).

cnf(c_0_2070_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X2),X1))
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2070]) ).

cnf(c_0_2071_0,axiom,
    ( hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2071]) ).

cnf(c_0_2071_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2071]) ).

cnf(c_0_2072_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | ~ hBOOL(hAPP_H78829294e_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2072]) ).

cnf(c_0_2072_1,axiom,
    ( ~ hBOOL(hAPP_H78829294e_bool(X2,X1))
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2072]) ).

cnf(c_0_2073_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | ~ hBOOL(hAPP_pname_bool(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2073]) ).

cnf(c_0_2073_1,axiom,
    ( ~ hBOOL(hAPP_pname_bool(X2,X1))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2073]) ).

cnf(c_0_2074_0,axiom,
    ( X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2074]) ).

cnf(c_0_2074_1,axiom,
    ( ~ is_fun_pname_bool(X1)
    | X1 = bot_bo844097828e_bool
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2074]) ).

cnf(c_0_2074_2,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
    | ~ is_fun_pname_bool(X1)
    | X1 = bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2074]) ).

cnf(c_0_2075_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2075]) ).

cnf(c_0_2075_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2075]) ).

cnf(c_0_2076_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2076]) ).

cnf(c_0_2076_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2076]) ).

cnf(c_0_2077_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2077]) ).

cnf(c_0_2077_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2077]) ).

cnf(c_0_2078_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2078]) ).

cnf(c_0_2078_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2078]) ).

cnf(c_0_2079_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2079]) ).

cnf(c_0_2079_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2079]) ).

cnf(c_0_2080_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2080]) ).

cnf(c_0_2080_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2080]) ).

cnf(c_0_2081_0,axiom,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,insert203537868l_bool(X1,X2)))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2081]) ).

cnf(c_0_2081_1,axiom,
    ( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X2))
    | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,insert203537868l_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2081]) ).

cnf(c_0_2082_0,axiom,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,insert1117693814l_bool(X1,X2)))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2082]) ).

cnf(c_0_2082_1,axiom,
    ( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X2))
    | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,insert1117693814l_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2082]) ).

cnf(c_0_2083_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2083]) ).

cnf(c_0_2083_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2083]) ).

cnf(c_0_2084_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2084]) ).

cnf(c_0_2084_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2084]) ).

cnf(c_0_2085_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2085]) ).

cnf(c_0_2085_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2085]) ).

cnf(c_0_2086_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_54689091_pname(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2086]) ).

cnf(c_0_2086_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_54689091_pname(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2086]) ).

cnf(c_0_2087_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_2131964411e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2087]) ).

cnf(c_0_2087_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_2131964411e_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2087]) ).

cnf(c_0_2088_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_1828608335e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2088]) ).

cnf(c_0_2088_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_1828608335e_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2088]) ).

cnf(c_0_2089_0,axiom,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_1761575943l_bool(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2089]) ).

cnf(c_0_2089_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
    | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_1761575943l_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2089]) ).

cnf(c_0_2090_0,axiom,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1210605179l_bool(X1,X2)))
    | ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2090]) ).

cnf(c_0_2090_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
    | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1210605179l_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2090]) ).

cnf(c_0_2091_0,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2091]) ).

cnf(c_0_2091_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
    | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2091]) ).

cnf(c_0_2092_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_70449425e_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2092]) ).

cnf(c_0_2092_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
    | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_70449425e_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2092]) ).

cnf(c_0_2093_0,axiom,
    ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_288317893l_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2093]) ).

cnf(c_0_2093_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
    | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_288317893l_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2093]) ).

cnf(c_0_2094_0,axiom,
    ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1642285373l_bool(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2094]) ).

cnf(c_0_2094_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
    | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1642285373l_bool(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2094]) ).

cnf(c_0_2095_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_516545147_state(X1,X2)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2095]) ).

cnf(c_0_2095_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_516545147_state(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2095]) ).

cnf(c_0_2096_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_18964633_state(X1,X2)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2096]) ).

cnf(c_0_2096_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_18964633_state(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2096]) ).

cnf(c_0_2097_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_892968839_state(X1,X2)))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2097]) ).

cnf(c_0_2097_1,axiom,
    ( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X2))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_892968839_state(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2097]) ).

cnf(c_0_2098_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_677922117_state(X1,X2)))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2098]) ).

cnf(c_0_2098_1,axiom,
    ( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X2))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_677922117_state(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2098]) ).

cnf(c_0_2099_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X1,X2)))
    | ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2099]) ).

cnf(c_0_2099_1,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2099]) ).

cnf(c_0_2100_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_187965177_pname(X1,X2)))
    | ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2100]) ).

cnf(c_0_2100_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_187965177_pname(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2100]) ).

cnf(c_0_2101_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1619336331_pname(X1,X2)))
    | ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2101]) ).

cnf(c_0_2101_1,axiom,
    ( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X2))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1619336331_pname(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2101]) ).

cnf(c_0_2102_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1705983821_pname(X1,X2)))
    | ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2102]) ).

cnf(c_0_2102_1,axiom,
    ( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X2))
    | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1705983821_pname(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2102]) ).

cnf(c_0_2103_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_2003357581_state(X1,X2)))
    | ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2103]) ).

cnf(c_0_2103_1,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
    | hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_2003357581_state(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2103]) ).

cnf(c_0_2104_0,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | X2 != bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2104]) ).

cnf(c_0_2104_1,axiom,
    ( X2 != bot_bo620288102e_bool
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2104]) ).

cnf(c_0_2105_0,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
    | X2 != bot_bo535777328l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2105]) ).

cnf(c_0_2105_1,axiom,
    ( X2 != bot_bo535777328l_bool
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2105]) ).

cnf(c_0_2106_0,axiom,
    ( X1 != bot_bo620288102e_bool
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2106]) ).

cnf(c_0_2106_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),X1))
    | X1 != bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2106]) ).

cnf(c_0_2107_0,axiom,
    ( X1 != bot_bo535777328l_bool
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2107]) ).

cnf(c_0_2107_1,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X2),X1))
    | X1 != bot_bo535777328l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2107]) ).

cnf(c_0_2108_0,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
    | X2 != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2108]) ).

cnf(c_0_2108_1,axiom,
    ( X2 != bot_bo844097828e_bool
    | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2108]) ).

cnf(c_0_2109_0,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
    | X2 != bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2109]) ).

cnf(c_0_2109_1,axiom,
    ( X2 != bot_bo620288102e_bool
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2109]) ).

cnf(c_0_2110_0,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
    | X2 != bot_bo535777328l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2110]) ).

cnf(c_0_2110_1,axiom,
    ( X2 != bot_bo535777328l_bool
    | ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2110]) ).

cnf(c_0_2111_0,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
    | X2 != bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2111]) ).

cnf(c_0_2111_1,axiom,
    ( X2 != bot_bo1649642514l_bool
    | ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2111]) ).

cnf(c_0_2112_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2112]) ).

cnf(c_0_2112_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X1),X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2112]) ).

cnf(c_0_2113_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2113]) ).

cnf(c_0_2113_1,axiom,
    ( ~ hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X1),X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2113]) ).

cnf(c_0_2114_0,axiom,
    ( X1 = X3
    | X1 = X4
    | insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2114]) ).

cnf(c_0_2114_1,axiom,
    ( X1 = X4
    | X1 = X3
    | insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2114]) ).

cnf(c_0_2114_2,axiom,
    ( insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool))
    | X1 = X4
    | X1 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2114]) ).

cnf(c_0_2115_0,axiom,
    ( X1 = X3
    | X2 = X3
    | insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2115]) ).

cnf(c_0_2115_1,axiom,
    ( X2 = X3
    | X1 = X3
    | insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2115]) ).

cnf(c_0_2115_2,axiom,
    ( insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool))
    | X2 = X3
    | X1 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2115]) ).

cnf(c_0_2116_0,axiom,
    ( X2 = X4
    | X1 = X4
    | insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2116]) ).

cnf(c_0_2116_1,axiom,
    ( X1 = X4
    | X2 = X4
    | insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2116]) ).

cnf(c_0_2116_2,axiom,
    ( insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool))
    | X1 = X4
    | X2 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2116]) ).

cnf(c_0_2117_0,axiom,
    ( X2 = X4
    | X2 = X3
    | insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2117]) ).

cnf(c_0_2117_1,axiom,
    ( X2 = X3
    | X2 = X4
    | insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2117]) ).

cnf(c_0_2117_2,axiom,
    ( insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool))
    | X2 = X3
    | X2 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2117]) ).

cnf(c_0_2118_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),dom_pname_com(X2)))
    | hAPP_p799580910on_com(X2,X1) != some_com(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2118]) ).

cnf(c_0_2118_1,axiom,
    ( hAPP_p799580910on_com(X2,X1) != some_com(X3)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),dom_pname_com(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2118]) ).

cnf(c_0_2119_0,axiom,
    ( X1 = bot_bo620288102e_bool
    | ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2119]) ).

cnf(c_0_2119_1,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),bot_bo620288102e_bool))
    | X1 = bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2119]) ).

cnf(c_0_2128_0,axiom,
    ( hAPP_p799580910on_com(body,X1) = some_com(sk1_esk33_1(X1))
    | ~ hBOOL(wt(hAPP_pname_com(body_1,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2128]) ).

cnf(c_0_2128_1,axiom,
    ( ~ hBOOL(wt(hAPP_pname_com(body_1,X1)))
    | hAPP_p799580910on_com(body,X1) = some_com(sk1_esk33_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2128]) ).

cnf(c_0_2129_0,axiom,
    ( insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) = insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2129]) ).

cnf(c_0_2129_1,axiom,
    ( ~ is_pname(X1)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) = insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool))
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2129]) ).

cnf(c_0_2129_2,axiom,
    ( ~ is_pname(X2)
    | ~ is_pname(X1)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) = insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool))
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2129]) ).

cnf(c_0_2129_3,axiom,
    ( ~ is_pname(X3)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) = insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool))
    | ~ is_pname(X4)
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2129]) ).

cnf(c_0_2129_4,axiom,
    ( ~ is_pname(X4)
    | ~ is_pname(X3)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) = insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool))
    | X3 != X1
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2129]) ).

cnf(c_0_2129_5,axiom,
    ( X3 != X1
    | ~ is_pname(X4)
    | ~ is_pname(X3)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) = insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool))
    | X4 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2129]) ).

cnf(c_0_2129_6,axiom,
    ( X4 != X2
    | X3 != X1
    | ~ is_pname(X4)
    | ~ is_pname(X3)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) = insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2129]) ).

cnf(c_0_2130_0,axiom,
    ( insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) = insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | X3 != X2
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2130]) ).

cnf(c_0_2130_1,axiom,
    ( ~ is_pname(X1)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) = insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool))
    | ~ is_pname(X2)
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | X3 != X2
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2130]) ).

cnf(c_0_2130_2,axiom,
    ( ~ is_pname(X2)
    | ~ is_pname(X1)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) = insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool))
    | ~ is_pname(X3)
    | ~ is_pname(X4)
    | X3 != X2
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2130]) ).

cnf(c_0_2130_3,axiom,
    ( ~ is_pname(X3)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) = insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool))
    | ~ is_pname(X4)
    | X3 != X2
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2130]) ).

cnf(c_0_2130_4,axiom,
    ( ~ is_pname(X4)
    | ~ is_pname(X3)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) = insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool))
    | X3 != X2
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2130]) ).

cnf(c_0_2130_5,axiom,
    ( X3 != X2
    | ~ is_pname(X4)
    | ~ is_pname(X3)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) = insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool))
    | X4 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2130]) ).

cnf(c_0_2130_6,axiom,
    ( X4 != X1
    | X3 != X2
    | ~ is_pname(X4)
    | ~ is_pname(X3)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | insert_pname(X4,insert_pname(X3,bot_bo844097828e_bool)) = insert_pname(X2,insert_pname(X1,bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2130]) ).

cnf(c_0_2131_0,axiom,
    ( X1 = bot_bo844097828e_bool
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk20_1(X1)),X1))
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2131]) ).

cnf(c_0_2131_1,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk20_1(X1)),X1))
    | X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2131]) ).

cnf(c_0_2131_2,axiom,
    ( ~ is_fun_pname_bool(X1)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk20_1(X1)),X1))
    | X1 = bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2131]) ).

cnf(c_0_2132_0,axiom,
    ( X1 = bot_bo1649642514l_bool
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk17_1(X1)),X1))
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2132]) ).

cnf(c_0_2132_1,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk17_1(X1)),X1))
    | X1 = bot_bo1649642514l_bool
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2132]) ).

cnf(c_0_2132_2,axiom,
    ( ~ is_fun1661590463l_bool(X1)
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk17_1(X1)),X1))
    | X1 = bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2132]) ).

cnf(c_0_2133_0,axiom,
    ( X1 = bot_bo844097828e_bool
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk16_1(X1)),X1))
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2133]) ).

cnf(c_0_2133_1,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk16_1(X1)),X1))
    | X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2133]) ).

cnf(c_0_2133_2,axiom,
    ( ~ is_fun_pname_bool(X1)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk16_1(X1)),X1))
    | X1 = bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2133]) ).

cnf(c_0_2134_0,axiom,
    ( X1 = bot_bo1649642514l_bool
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk13_1(X1)),X1))
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2134]) ).

cnf(c_0_2134_1,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk13_1(X1)),X1))
    | X1 = bot_bo1649642514l_bool
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2134]) ).

cnf(c_0_2134_2,axiom,
    ( ~ is_fun1661590463l_bool(X1)
    | hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk13_1(X1)),X1))
    | X1 = bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2134]) ).

cnf(c_0_2135_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | is_pname(sk1_esk34_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2135]) ).

cnf(c_0_2135_1,axiom,
    ( is_pname(sk1_esk34_2(X2,X1))
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2135]) ).

cnf(c_0_2143_0,axiom,
    ( X1 = bot_bo620288102e_bool
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sk1_esk19_1(X1)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2143]) ).

cnf(c_0_2143_1,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sk1_esk19_1(X1)),X1))
    | X1 = bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2143]) ).

cnf(c_0_2144_0,axiom,
    ( X1 = bot_bo535777328l_bool
    | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,sk1_esk18_1(X1)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2144]) ).

cnf(c_0_2144_1,axiom,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,sk1_esk18_1(X1)),X1))
    | X1 = bot_bo535777328l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2144]) ).

cnf(c_0_2145_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sk1_esk15_1(X1)),X1))
    | X1 = bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2145]) ).

cnf(c_0_2145_1,axiom,
    ( X1 = bot_bo620288102e_bool
    | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,sk1_esk15_1(X1)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2145]) ).

cnf(c_0_2146_0,axiom,
    ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,sk1_esk14_1(X1)),X1))
    | X1 = bot_bo535777328l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2146]) ).

cnf(c_0_2146_1,axiom,
    ( X1 = bot_bo535777328l_bool
    | hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,sk1_esk14_1(X1)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2146]) ).

cnf(c_0_2147_0,axiom,
    ( hBOOL(hAPP_pname_bool(insert_pname(X2,X3),X1))
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2147]) ).

cnf(c_0_2147_1,axiom,
    ( ~ is_pname(X1)
    | hBOOL(hAPP_pname_bool(insert_pname(X2,X3),X1))
    | ~ is_pname(X2)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2147]) ).

cnf(c_0_2147_2,axiom,
    ( ~ is_pname(X2)
    | ~ is_pname(X1)
    | hBOOL(hAPP_pname_bool(insert_pname(X2,X3),X1))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2147]) ).

cnf(c_0_2147_3,axiom,
    ( X2 != X1
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | hBOOL(hAPP_pname_bool(insert_pname(X2,X3),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2147]) ).

cnf(c_0_2148_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
    | ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2148]) ).

cnf(c_0_2148_1,axiom,
    ( ~ is_fun_pname_bool(X1)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
    | ~ is_fun_pname_bool(X2)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2148]) ).

cnf(c_0_2148_2,axiom,
    ( ~ is_fun_pname_bool(X2)
    | ~ is_fun_pname_bool(X1)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2148]) ).

cnf(c_0_2148_3,axiom,
    ( X2 != X1
    | ~ is_fun_pname_bool(X2)
    | ~ is_fun_pname_bool(X1)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2148]) ).

cnf(c_0_2149_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ is_fun_pname_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2149]) ).

cnf(c_0_2149_1,axiom,
    ( ~ is_fun_pname_bool(X1)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | ~ is_fun_pname_bool(X2)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2149]) ).

cnf(c_0_2149_2,axiom,
    ( ~ is_fun_pname_bool(X2)
    | ~ is_fun_pname_bool(X1)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2149]) ).

cnf(c_0_2149_3,axiom,
    ( X2 != X1
    | ~ is_fun_pname_bool(X2)
    | ~ is_fun_pname_bool(X1)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2149]) ).

cnf(c_0_2162_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))
    | ~ hBOOL(X2)
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2162]) ).

cnf(c_0_2162_1,axiom,
    ( ~ hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2162]) ).

cnf(c_0_2162_2,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2162]) ).

cnf(c_0_2163_0,axiom,
    ( hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X1,X2),X3))
    | X1 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2163]) ).

cnf(c_0_2163_1,axiom,
    ( X1 != X3
    | hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2163]) ).

cnf(c_0_2164_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2164]) ).

cnf(c_0_2164_1,axiom,
    ( ~ hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2164]) ).

cnf(c_0_2165_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2))
    | ~ hBOOL(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2165]) ).

cnf(c_0_2165_1,axiom,
    ( ~ hBOOL(X2)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2165]) ).

cnf(c_0_2166_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2166]) ).

cnf(c_0_2166_1,axiom,
    ( ~ hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2166]) ).

cnf(c_0_2167_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2167]) ).

cnf(c_0_2167_1,axiom,
    ( ~ is_fun_pname_bool(X1)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
    | X1 != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2167]) ).

cnf(c_0_2167_2,axiom,
    ( X1 != bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2167]) ).

cnf(c_0_2168_0,axiom,
    ( insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) = insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool))
    | X2 != X4
    | X1 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2168]) ).

cnf(c_0_2168_1,axiom,
    ( X2 != X4
    | insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) = insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool))
    | X1 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2168]) ).

cnf(c_0_2168_2,axiom,
    ( X1 != X3
    | X2 != X4
    | insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) = insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2168]) ).

cnf(c_0_2169_0,axiom,
    ( insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) = insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool))
    | X2 != X3
    | X1 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2169]) ).

cnf(c_0_2169_1,axiom,
    ( X2 != X3
    | insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) = insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool))
    | X1 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2169]) ).

cnf(c_0_2169_2,axiom,
    ( X1 != X4
    | X2 != X3
    | insert1415133716_state(X1,insert1415133716_state(X2,bot_bo620288102e_bool)) = insert1415133716_state(X3,insert1415133716_state(X4,bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2169]) ).

cnf(c_0_2170_0,axiom,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2))
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2170]) ).

cnf(c_0_2170_1,axiom,
    ( hBOOL(X1)
    | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2170]) ).

cnf(c_0_2185_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2185]) ).

cnf(c_0_2185_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2185]) ).

cnf(c_0_2186_0,axiom,
    ( hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2186]) ).

cnf(c_0_2186_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2186]) ).

cnf(c_0_2187_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2187]) ).

cnf(c_0_2187_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2187]) ).

cnf(c_0_2188_0,axiom,
    ( hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2188]) ).

cnf(c_0_2188_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2188]) ).

cnf(c_0_2189_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2189]) ).

cnf(c_0_2189_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2189]) ).

cnf(c_0_2190_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2190]) ).

cnf(c_0_2190_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2190]) ).

cnf(c_0_2191_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2191]) ).

cnf(c_0_2191_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2191]) ).

cnf(c_0_2192_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2192]) ).

cnf(c_0_2192_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2192]) ).

cnf(c_0_2193_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2193]) ).

cnf(c_0_2193_1,axiom,
    ( X2 != X1
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2193]) ).

cnf(c_0_2194_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2194]) ).

cnf(c_0_2194_1,axiom,
    ( X2 != X1
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2194]) ).

cnf(c_0_2195_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2195]) ).

cnf(c_0_2195_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2195]) ).

cnf(c_0_2196_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2196]) ).

cnf(c_0_2196_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2196]) ).

cnf(c_0_2197_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2197]) ).

cnf(c_0_2197_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2197]) ).

cnf(c_0_2198_0,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2198]) ).

cnf(c_0_2198_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2198]) ).

cnf(c_0_2201_0,axiom,
    ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),bot_bo620288102e_bool))
    | X1 != bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2201]) ).

cnf(c_0_2201_1,axiom,
    ( X1 != bot_bo620288102e_bool
    | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),bot_bo620288102e_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2201]) ).

cnf(c_0_2206_0,axiom,
    ( ~ hBOOL(hAPP_pname_bool(X1,X2))
    | ~ is_pname(X2)
    | collect_pname(X1) != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2206]) ).

cnf(c_0_2206_1,axiom,
    ( ~ is_pname(X2)
    | ~ hBOOL(hAPP_pname_bool(X1,X2))
    | collect_pname(X1) != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2206]) ).

cnf(c_0_2206_2,axiom,
    ( collect_pname(X1) != bot_bo844097828e_bool
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_pname_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2206]) ).

cnf(c_0_2207_0,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(X1,X2))
    | ~ is_fun_pname_bool(X2)
    | collec1974731493e_bool(X1) != bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2207]) ).

cnf(c_0_2207_1,axiom,
    ( ~ is_fun_pname_bool(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(X1,X2))
    | collec1974731493e_bool(X1) != bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2207]) ).

cnf(c_0_2207_2,axiom,
    ( collec1974731493e_bool(X1) != bot_bo1649642514l_bool
    | ~ is_fun_pname_bool(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2207]) ).

cnf(c_0_2208_0,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2)
    | collec1613912337l_bool(X1) != bot_bo1537088220l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2208]) ).

cnf(c_0_2208_1,axiom,
    ( ~ is_fun1661590463l_bool(X2)
    | ~ hBOOL(hAPP_f1935102916l_bool(X1,X2))
    | collec1613912337l_bool(X1) != bot_bo1537088220l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2208]) ).

cnf(c_0_2208_2,axiom,
    ( collec1613912337l_bool(X1) != bot_bo1537088220l_bool
    | ~ is_fun1661590463l_bool(X2)
    | ~ hBOOL(hAPP_f1935102916l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2208]) ).

cnf(c_0_2209_0,axiom,
    ( ~ hBOOL(hAPP_pname_bool(X1,X2))
    | ~ is_pname(X2)
    | collect_pname(X1) != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2209]) ).

cnf(c_0_2209_1,axiom,
    ( ~ is_pname(X2)
    | ~ hBOOL(hAPP_pname_bool(X1,X2))
    | collect_pname(X1) != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2209]) ).

cnf(c_0_2209_2,axiom,
    ( collect_pname(X1) != bot_bo844097828e_bool
    | ~ is_pname(X2)
    | ~ hBOOL(hAPP_pname_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2209]) ).

cnf(c_0_2210_0,axiom,
    ( ~ hBOOL(hAPP_f1664156314l_bool(X1,X2))
    | ~ is_fun_pname_bool(X2)
    | collec1974731493e_bool(X1) != bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2210]) ).

cnf(c_0_2210_1,axiom,
    ( ~ is_fun_pname_bool(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(X1,X2))
    | collec1974731493e_bool(X1) != bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2210]) ).

cnf(c_0_2210_2,axiom,
    ( collec1974731493e_bool(X1) != bot_bo1649642514l_bool
    | ~ is_fun_pname_bool(X2)
    | ~ hBOOL(hAPP_f1664156314l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2210]) ).

cnf(c_0_2211_0,axiom,
    ( ~ hBOOL(hAPP_f1935102916l_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2)
    | collec1613912337l_bool(X1) != bot_bo1537088220l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2211]) ).

cnf(c_0_2211_1,axiom,
    ( ~ is_fun1661590463l_bool(X2)
    | ~ hBOOL(hAPP_f1935102916l_bool(X1,X2))
    | collec1613912337l_bool(X1) != bot_bo1537088220l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2211]) ).

cnf(c_0_2211_2,axiom,
    ( collec1613912337l_bool(X1) != bot_bo1537088220l_bool
    | ~ is_fun1661590463l_bool(X2)
    | ~ hBOOL(hAPP_f1935102916l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2211]) ).

cnf(c_0_2212_0,axiom,
    ( X2 = X1
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | hAPP_pname_com(body_1,X2) != hAPP_pname_com(body_1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2212]) ).

cnf(c_0_2212_1,axiom,
    ( ~ is_pname(X1)
    | X2 = X1
    | ~ is_pname(X2)
    | hAPP_pname_com(body_1,X2) != hAPP_pname_com(body_1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2212]) ).

cnf(c_0_2212_2,axiom,
    ( ~ is_pname(X2)
    | ~ is_pname(X1)
    | X2 = X1
    | hAPP_pname_com(body_1,X2) != hAPP_pname_com(body_1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2212]) ).

cnf(c_0_2212_3,axiom,
    ( hAPP_pname_com(body_1,X2) != hAPP_pname_com(body_1,X1)
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2212]) ).

cnf(c_0_2213_0,axiom,
    ( X1 = X2
    | insert_pname(X1,bot_bo844097828e_bool) != insert_pname(X2,bot_bo844097828e_bool)
    | ~ is_pname(X2)
    | ~ is_pname(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2213]) ).

cnf(c_0_2213_1,axiom,
    ( insert_pname(X1,bot_bo844097828e_bool) != insert_pname(X2,bot_bo844097828e_bool)
    | X1 = X2
    | ~ is_pname(X2)
    | ~ is_pname(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2213]) ).

cnf(c_0_2213_2,axiom,
    ( ~ is_pname(X2)
    | insert_pname(X1,bot_bo844097828e_bool) != insert_pname(X2,bot_bo844097828e_bool)
    | X1 = X2
    | ~ is_pname(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2213]) ).

cnf(c_0_2213_3,axiom,
    ( ~ is_pname(X1)
    | ~ is_pname(X2)
    | insert_pname(X1,bot_bo844097828e_bool) != insert_pname(X2,bot_bo844097828e_bool)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2213]) ).

cnf(c_0_2214_0,axiom,
    ( ~ hBOOL(hAPP_H78829294e_bool(X1,X2))
    | collec307967673_state(X1) != bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2214]) ).

cnf(c_0_2214_1,axiom,
    ( collec307967673_state(X1) != bot_bo620288102e_bool
    | ~ hBOOL(hAPP_H78829294e_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2214]) ).

cnf(c_0_2215_0,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(X1,X2))
    | collec1823980261e_bool(X1) != bot_bo535777328l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2215]) ).

cnf(c_0_2215_1,axiom,
    ( collec1823980261e_bool(X1) != bot_bo535777328l_bool
    | ~ hBOOL(hAPP_f971112728l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2215]) ).

cnf(c_0_2216_0,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(X1,X2))
    | collec488126193l_bool(X1) != bot_bo1761158942l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2216]) ).

cnf(c_0_2216_1,axiom,
    ( collec488126193l_bool(X1) != bot_bo1761158942l_bool
    | ~ hBOOL(hAPP_f166538662l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2216]) ).

cnf(c_0_2217_0,axiom,
    ( ~ hBOOL(hAPP_H78829294e_bool(X1,X2))
    | collec307967673_state(X1) != bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2217]) ).

cnf(c_0_2217_1,axiom,
    ( collec307967673_state(X1) != bot_bo620288102e_bool
    | ~ hBOOL(hAPP_H78829294e_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2217]) ).

cnf(c_0_2218_0,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(X1,X2))
    | collec1823980261e_bool(X1) != bot_bo535777328l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2218]) ).

cnf(c_0_2218_1,axiom,
    ( collec1823980261e_bool(X1) != bot_bo535777328l_bool
    | ~ hBOOL(hAPP_f971112728l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2218]) ).

cnf(c_0_2219_0,axiom,
    ( ~ hBOOL(hAPP_f166538662l_bool(X1,X2))
    | collec488126193l_bool(X1) != bot_bo1761158942l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2219]) ).

cnf(c_0_2219_1,axiom,
    ( collec488126193l_bool(X1) != bot_bo1761158942l_bool
    | ~ hBOOL(hAPP_f166538662l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2219]) ).

cnf(c_0_2222_0,axiom,
    ( insert1556680138e_bool(X1,dom_fu1342267980ol_com(X2)) = dom_fu1342267980ol_com(X2)
    | hAPP_f2134636538on_com(X2,X1) != some_com(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2222]) ).

cnf(c_0_2222_1,axiom,
    ( hAPP_f2134636538on_com(X2,X1) != some_com(X3)
    | insert1556680138e_bool(X1,dom_fu1342267980ol_com(X2)) = dom_fu1342267980ol_com(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2222]) ).

cnf(c_0_2223_0,axiom,
    ( insert1325755072e_bool(X1,dom_fu2081503504ol_com(X2)) = dom_fu2081503504ol_com(X2)
    | hAPP_f2138803836on_com(X2,X1) != some_com(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2223]) ).

cnf(c_0_2223_1,axiom,
    ( hAPP_f2138803836on_com(X2,X1) != some_com(X3)
    | insert1325755072e_bool(X1,dom_fu2081503504ol_com(X2)) = dom_fu2081503504ol_com(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2223]) ).

cnf(c_0_2224_0,axiom,
    ( insert_pname(X1,dom_pname_com(X2)) = dom_pname_com(X2)
    | hAPP_p799580910on_com(X2,X1) != some_com(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2224]) ).

cnf(c_0_2224_1,axiom,
    ( hAPP_p799580910on_com(X2,X1) != some_com(X3)
    | insert_pname(X1,dom_pname_com(X2)) = dom_pname_com(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2224]) ).

cnf(c_0_2225_0,axiom,
    ( ~ hBOOL(X1)
    | ~ hBOOL(hAPP_bool_bool(fNot,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2225]) ).

cnf(c_0_2225_1,axiom,
    ( ~ hBOOL(hAPP_bool_bool(fNot,X1))
    | ~ hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2225]) ).

cnf(c_0_2231_0,axiom,
    ( collect_pname(X1) = bot_bo844097828e_bool
    | hBOOL(hAPP_pname_bool(X1,sk1_esk12_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2231]) ).

cnf(c_0_2231_1,axiom,
    ( hBOOL(hAPP_pname_bool(X1,sk1_esk12_1(X1)))
    | collect_pname(X1) = bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2231]) ).

cnf(c_0_2232_0,axiom,
    ( collec307967673_state(X1) = bot_bo620288102e_bool
    | hBOOL(hAPP_H78829294e_bool(X1,sk1_esk11_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2232]) ).

cnf(c_0_2232_1,axiom,
    ( hBOOL(hAPP_H78829294e_bool(X1,sk1_esk11_1(X1)))
    | collec307967673_state(X1) = bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2232]) ).

cnf(c_0_2233_0,axiom,
    ( collec1974731493e_bool(X1) = bot_bo1649642514l_bool
    | hBOOL(hAPP_f1664156314l_bool(X1,sk1_esk10_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2233]) ).

cnf(c_0_2233_1,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(X1,sk1_esk10_1(X1)))
    | collec1974731493e_bool(X1) = bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2233]) ).

cnf(c_0_2234_0,axiom,
    ( collec1823980261e_bool(X1) = bot_bo535777328l_bool
    | hBOOL(hAPP_f971112728l_bool(X1,sk1_esk9_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2234]) ).

cnf(c_0_2234_1,axiom,
    ( hBOOL(hAPP_f971112728l_bool(X1,sk1_esk9_1(X1)))
    | collec1823980261e_bool(X1) = bot_bo535777328l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2234]) ).

cnf(c_0_2235_0,axiom,
    ( collec488126193l_bool(X1) = bot_bo1761158942l_bool
    | hBOOL(hAPP_f166538662l_bool(X1,sk1_esk8_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2235]) ).

cnf(c_0_2235_1,axiom,
    ( hBOOL(hAPP_f166538662l_bool(X1,sk1_esk8_1(X1)))
    | collec488126193l_bool(X1) = bot_bo1761158942l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2235]) ).

cnf(c_0_2236_0,axiom,
    ( collec1613912337l_bool(X1) = bot_bo1537088220l_bool
    | hBOOL(hAPP_f1935102916l_bool(X1,sk1_esk7_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2236]) ).

cnf(c_0_2236_1,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(X1,sk1_esk7_1(X1)))
    | collec1613912337l_bool(X1) = bot_bo1537088220l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2236]) ).

cnf(c_0_2237_0,axiom,
    ( collect_pname(X1) = bot_bo844097828e_bool
    | hBOOL(hAPP_pname_bool(X1,sk1_esk6_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2237]) ).

cnf(c_0_2237_1,axiom,
    ( hBOOL(hAPP_pname_bool(X1,sk1_esk6_1(X1)))
    | collect_pname(X1) = bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2237]) ).

cnf(c_0_2238_0,axiom,
    ( collec307967673_state(X1) = bot_bo620288102e_bool
    | hBOOL(hAPP_H78829294e_bool(X1,sk1_esk5_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2238]) ).

cnf(c_0_2238_1,axiom,
    ( hBOOL(hAPP_H78829294e_bool(X1,sk1_esk5_1(X1)))
    | collec307967673_state(X1) = bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2238]) ).

cnf(c_0_2239_0,axiom,
    ( collec1974731493e_bool(X1) = bot_bo1649642514l_bool
    | hBOOL(hAPP_f1664156314l_bool(X1,sk1_esk4_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2239]) ).

cnf(c_0_2239_1,axiom,
    ( hBOOL(hAPP_f1664156314l_bool(X1,sk1_esk4_1(X1)))
    | collec1974731493e_bool(X1) = bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2239]) ).

cnf(c_0_2240_0,axiom,
    ( collec1823980261e_bool(X1) = bot_bo535777328l_bool
    | hBOOL(hAPP_f971112728l_bool(X1,sk1_esk3_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2240]) ).

cnf(c_0_2240_1,axiom,
    ( hBOOL(hAPP_f971112728l_bool(X1,sk1_esk3_1(X1)))
    | collec1823980261e_bool(X1) = bot_bo535777328l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2240]) ).

cnf(c_0_2241_0,axiom,
    ( collec488126193l_bool(X1) = bot_bo1761158942l_bool
    | hBOOL(hAPP_f166538662l_bool(X1,sk1_esk2_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2241]) ).

cnf(c_0_2241_1,axiom,
    ( hBOOL(hAPP_f166538662l_bool(X1,sk1_esk2_1(X1)))
    | collec488126193l_bool(X1) = bot_bo1761158942l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2241]) ).

cnf(c_0_2242_0,axiom,
    ( collec1613912337l_bool(X1) = bot_bo1537088220l_bool
    | hBOOL(hAPP_f1935102916l_bool(X1,sk1_esk1_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2242]) ).

cnf(c_0_2242_1,axiom,
    ( hBOOL(hAPP_f1935102916l_bool(X1,sk1_esk1_1(X1)))
    | collec1613912337l_bool(X1) = bot_bo1537088220l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2242]) ).

cnf(c_0_2243_0,axiom,
    ( is_bool(hAPP_f1664156314l_bool(X1,X2))
    | ~ is_fun_pname_bool(X2)
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2243]) ).

cnf(c_0_2243_1,axiom,
    ( ~ is_fun_pname_bool(X2)
    | is_bool(hAPP_f1664156314l_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2243]) ).

cnf(c_0_2243_2,axiom,
    ( ~ is_fun1661590463l_bool(X1)
    | ~ is_fun_pname_bool(X2)
    | is_bool(hAPP_f1664156314l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2243]) ).

cnf(c_0_2244_0,axiom,
    ( is_bool(hAPP_pname_bool(X1,X2))
    | ~ is_pname(X2)
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2244]) ).

cnf(c_0_2244_1,axiom,
    ( ~ is_pname(X2)
    | is_bool(hAPP_pname_bool(X1,X2))
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2244]) ).

cnf(c_0_2244_2,axiom,
    ( ~ is_fun_pname_bool(X1)
    | ~ is_pname(X2)
    | is_bool(hAPP_pname_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2244]) ).

cnf(c_0_2245_0,axiom,
    ( is_fun1661590463l_bool(insert1325755072e_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2)
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2245]) ).

cnf(c_0_2245_1,axiom,
    ( ~ is_fun1661590463l_bool(X2)
    | is_fun1661590463l_bool(insert1325755072e_bool(X1,X2))
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2245]) ).

cnf(c_0_2245_2,axiom,
    ( ~ is_fun_pname_bool(X1)
    | ~ is_fun1661590463l_bool(X2)
    | is_fun1661590463l_bool(insert1325755072e_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2245]) ).

cnf(c_0_2246_0,axiom,
    ( is_fun_pname_bool(insert_pname(X1,X2))
    | ~ is_fun_pname_bool(X2)
    | ~ is_pname(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2246]) ).

cnf(c_0_2246_1,axiom,
    ( ~ is_fun_pname_bool(X2)
    | is_fun_pname_bool(insert_pname(X1,X2))
    | ~ is_pname(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2246]) ).

cnf(c_0_2246_2,axiom,
    ( ~ is_pname(X1)
    | ~ is_fun_pname_bool(X2)
    | is_fun_pname_bool(insert_pname(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2246]) ).

cnf(c_0_2247_0,axiom,
    ( hAPP_pname_com(body_1,X2) = hAPP_pname_com(body_1,X1)
    | ~ is_pname(X1)
    | ~ is_pname(X2)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2247]) ).

cnf(c_0_2247_1,axiom,
    ( ~ is_pname(X1)
    | hAPP_pname_com(body_1,X2) = hAPP_pname_com(body_1,X1)
    | ~ is_pname(X2)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2247]) ).

cnf(c_0_2247_2,axiom,
    ( ~ is_pname(X2)
    | ~ is_pname(X1)
    | hAPP_pname_com(body_1,X2) = hAPP_pname_com(body_1,X1)
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2247]) ).

cnf(c_0_2247_3,axiom,
    ( X2 != X1
    | ~ is_pname(X2)
    | ~ is_pname(X1)
    | hAPP_pname_com(body_1,X2) = hAPP_pname_com(body_1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2247]) ).

cnf(c_0_2248_0,axiom,
    ( hBOOL(wt(X1))
    | hAPP_p799580910on_com(body,X2) != some_com(X1)
    | ~ hBOOL(wT_bodies) ),
    inference(literals_permutation,[status(thm)],[c_0_2248]) ).

cnf(c_0_2248_1,axiom,
    ( hAPP_p799580910on_com(body,X2) != some_com(X1)
    | hBOOL(wt(X1))
    | ~ hBOOL(wT_bodies) ),
    inference(literals_permutation,[status(thm)],[c_0_2248]) ).

cnf(c_0_2248_2,axiom,
    ( ~ hBOOL(wT_bodies)
    | hAPP_p799580910on_com(body,X2) != some_com(X1)
    | hBOOL(wt(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2248]) ).

cnf(c_0_2249_0,axiom,
    ( X1 = X2
    | insert1415133716_state(X1,bot_bo620288102e_bool) != insert1415133716_state(X2,bot_bo620288102e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2249]) ).

cnf(c_0_2249_1,axiom,
    ( insert1415133716_state(X1,bot_bo620288102e_bool) != insert1415133716_state(X2,bot_bo620288102e_bool)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2249]) ).

cnf(c_0_2250_0,axiom,
    ( image_1283814551_pname(cOMBK_948730864e_bool(X2),X1) = insert_pname(X2,bot_bo844097828e_bool)
    | X1 = bot_bo1649642514l_bool
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2250]) ).

cnf(c_0_2250_1,axiom,
    ( X1 = bot_bo1649642514l_bool
    | image_1283814551_pname(cOMBK_948730864e_bool(X2),X1) = insert_pname(X2,bot_bo844097828e_bool)
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2250]) ).

cnf(c_0_2250_2,axiom,
    ( ~ is_fun1661590463l_bool(X1)
    | X1 = bot_bo1649642514l_bool
    | image_1283814551_pname(cOMBK_948730864e_bool(X2),X1) = insert_pname(X2,bot_bo844097828e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2250]) ).

cnf(c_0_2251_0,axiom,
    ( image_516545147_state(cOMBK_1503445380e_bool(X2),X1) = insert1415133716_state(X2,bot_bo620288102e_bool)
    | X1 = bot_bo1649642514l_bool
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2251]) ).

cnf(c_0_2251_1,axiom,
    ( X1 = bot_bo1649642514l_bool
    | image_516545147_state(cOMBK_1503445380e_bool(X2),X1) = insert1415133716_state(X2,bot_bo620288102e_bool)
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2251]) ).

cnf(c_0_2251_2,axiom,
    ( ~ is_fun1661590463l_bool(X1)
    | X1 = bot_bo1649642514l_bool
    | image_516545147_state(cOMBK_1503445380e_bool(X2),X1) = insert1415133716_state(X2,bot_bo620288102e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2251]) ).

cnf(c_0_2252_0,axiom,
    ( image_pname_pname(cOMBK_pname_pname(X2),X1) = insert_pname(X2,bot_bo844097828e_bool)
    | X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2252]) ).

cnf(c_0_2252_1,axiom,
    ( X1 = bot_bo844097828e_bool
    | image_pname_pname(cOMBK_pname_pname(X2),X1) = insert_pname(X2,bot_bo844097828e_bool)
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2252]) ).

cnf(c_0_2252_2,axiom,
    ( ~ is_fun_pname_bool(X1)
    | X1 = bot_bo844097828e_bool
    | image_pname_pname(cOMBK_pname_pname(X2),X1) = insert_pname(X2,bot_bo844097828e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2252]) ).

cnf(c_0_2253_0,axiom,
    ( image_70449425e_bool(cOMBK_1706929794_pname(X2),X1) = insert1556680138e_bool(X2,bot_bo535777328l_bool)
    | X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2253]) ).

cnf(c_0_2253_1,axiom,
    ( X1 = bot_bo844097828e_bool
    | image_70449425e_bool(cOMBK_1706929794_pname(X2),X1) = insert1556680138e_bool(X2,bot_bo535777328l_bool)
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2253]) ).

cnf(c_0_2253_2,axiom,
    ( ~ is_fun_pname_bool(X1)
    | X1 = bot_bo844097828e_bool
    | image_70449425e_bool(cOMBK_1706929794_pname(X2),X1) = insert1556680138e_bool(X2,bot_bo535777328l_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2253]) ).

cnf(c_0_2254_0,axiom,
    ( image_47868345e_bool(cOMBK_37193422_pname(X2),X1) = insert1325755072e_bool(X2,bot_bo1649642514l_bool)
    | X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2254]) ).

cnf(c_0_2254_1,axiom,
    ( X1 = bot_bo844097828e_bool
    | image_47868345e_bool(cOMBK_37193422_pname(X2),X1) = insert1325755072e_bool(X2,bot_bo1649642514l_bool)
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2254]) ).

cnf(c_0_2254_2,axiom,
    ( ~ is_fun_pname_bool(X1)
    | X1 = bot_bo844097828e_bool
    | image_47868345e_bool(cOMBK_37193422_pname(X2),X1) = insert1325755072e_bool(X2,bot_bo1649642514l_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2254]) ).

cnf(c_0_2255_0,axiom,
    ( image_2003357581_state(cOMBK_367030522_pname(X2),X1) = insert1415133716_state(X2,bot_bo620288102e_bool)
    | X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2255]) ).

cnf(c_0_2255_1,axiom,
    ( X1 = bot_bo844097828e_bool
    | image_2003357581_state(cOMBK_367030522_pname(X2),X1) = insert1415133716_state(X2,bot_bo620288102e_bool)
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2255]) ).

cnf(c_0_2255_2,axiom,
    ( ~ is_fun_pname_bool(X1)
    | X1 = bot_bo844097828e_bool
    | image_2003357581_state(cOMBK_367030522_pname(X2),X1) = insert1415133716_state(X2,bot_bo620288102e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2255]) ).

cnf(c_0_2261_0,axiom,
    ( is_fun1661590463l_bool(hAPP_f559147733l_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2261]) ).

cnf(c_0_2261_1,axiom,
    ( ~ is_fun1661590463l_bool(X2)
    | is_fun1661590463l_bool(hAPP_f559147733l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2261]) ).

cnf(c_0_2262_0,axiom,
    ( is_bool(hAPP_f1935102916l_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2262]) ).

cnf(c_0_2262_1,axiom,
    ( ~ is_fun1661590463l_bool(X2)
    | is_bool(hAPP_f1935102916l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2262]) ).

cnf(c_0_2263_0,axiom,
    ( is_fun1661590463l_bool(hAPP_f434788991l_bool(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2263]) ).

cnf(c_0_2263_1,axiom,
    ( ~ is_fun_pname_bool(X2)
    | is_fun1661590463l_bool(hAPP_f434788991l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2263]) ).

cnf(c_0_2264_0,axiom,
    ( is_fun_pname_bool(hAPP_f759274231e_bool(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2264]) ).

cnf(c_0_2264_1,axiom,
    ( ~ is_fun_pname_bool(X2)
    | is_fun_pname_bool(hAPP_f759274231e_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2264]) ).

cnf(c_0_2265_0,axiom,
    ( is_pname(hAPP_f1297739591_pname(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2265]) ).

cnf(c_0_2265_1,axiom,
    ( ~ is_fun_pname_bool(X2)
    | is_pname(hAPP_f1297739591_pname(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2265]) ).

cnf(c_0_2266_0,axiom,
    ( is_bool(hAPP_bool_bool(X1,X2))
    | ~ is_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2266]) ).

cnf(c_0_2266_1,axiom,
    ( ~ is_bool(X2)
    | is_bool(hAPP_bool_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2266]) ).

cnf(c_0_2267_0,axiom,
    ( is_fun1661590463l_bool(hAPP_p338031245l_bool(X1,X2))
    | ~ is_pname(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2267]) ).

cnf(c_0_2267_1,axiom,
    ( ~ is_pname(X2)
    | is_fun1661590463l_bool(hAPP_p338031245l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2267]) ).

cnf(c_0_2268_0,axiom,
    ( is_fun_pname_bool(hAPP_p61793385e_bool(X1,X2))
    | ~ is_pname(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2268]) ).

cnf(c_0_2268_1,axiom,
    ( ~ is_pname(X2)
    | is_fun_pname_bool(hAPP_p61793385e_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2268]) ).

cnf(c_0_2269_0,axiom,
    ( is_pname(hAPP_pname_pname(X1,X2))
    | ~ is_pname(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2269]) ).

cnf(c_0_2269_1,axiom,
    ( ~ is_pname(X2)
    | is_pname(hAPP_pname_pname(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2269]) ).

cnf(c_0_2270_0,axiom,
    ( is_fun_pname_bool(image_1283814551_pname(X1,X2))
    | ~ is_fun1661590463l_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2270]) ).

cnf(c_0_2270_1,axiom,
    ( ~ is_fun1661590463l_bool(X2)
    | is_fun_pname_bool(image_1283814551_pname(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2270]) ).

cnf(c_0_2271_0,axiom,
    ( is_fun1661590463l_bool(image_47868345e_bool(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2271]) ).

cnf(c_0_2271_1,axiom,
    ( ~ is_fun_pname_bool(X2)
    | is_fun1661590463l_bool(image_47868345e_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2271]) ).

cnf(c_0_2272_0,axiom,
    ( is_fun_pname_bool(image_pname_pname(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2272]) ).

cnf(c_0_2272_1,axiom,
    ( ~ is_fun_pname_bool(X2)
    | is_fun_pname_bool(image_pname_pname(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2272]) ).

cnf(c_0_2273_0,axiom,
    ( is_fun1661590463l_bool(cOMBS_350070575l_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2273]) ).

cnf(c_0_2273_1,axiom,
    ( ~ is_fun1661590463l_bool(X2)
    | is_fun1661590463l_bool(cOMBS_350070575l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2273]) ).

cnf(c_0_2274_0,axiom,
    ( is_fun_pname_bool(cOMBS_568398431l_bool(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2274]) ).

cnf(c_0_2274_1,axiom,
    ( ~ is_fun_pname_bool(X2)
    | is_fun_pname_bool(cOMBS_568398431l_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2274]) ).

cnf(c_0_2275_0,axiom,
    ( is_fun1661590463l_bool(cOMBB_307249310e_bool(X1,X2))
    | ~ is_fun1661590463l_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2275]) ).

cnf(c_0_2275_1,axiom,
    ( ~ is_fun1661590463l_bool(X2)
    | is_fun1661590463l_bool(cOMBB_307249310e_bool(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2275]) ).

cnf(c_0_2276_0,axiom,
    ( is_fun_pname_bool(cOMBB_647938656_pname(X1,X2))
    | ~ is_fun_pname_bool(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2276]) ).

cnf(c_0_2276_1,axiom,
    ( ~ is_fun_pname_bool(X2)
    | is_fun_pname_bool(cOMBB_647938656_pname(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2276]) ).

cnf(c_0_2277_0,axiom,
    ( image_187965177_pname(cOMBK_1589414042e_bool(X1),X2) = insert_pname(X1,bot_bo844097828e_bool)
    | X2 = bot_bo535777328l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2277]) ).

cnf(c_0_2277_1,axiom,
    ( X2 = bot_bo535777328l_bool
    | image_187965177_pname(cOMBK_1589414042e_bool(X1),X2) = insert_pname(X1,bot_bo844097828e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2277]) ).

cnf(c_0_2278_0,axiom,
    ( image_18964633_state(cOMBK_701929478e_bool(X1),X2) = insert1415133716_state(X1,bot_bo620288102e_bool)
    | X2 = bot_bo535777328l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2278]) ).

cnf(c_0_2278_1,axiom,
    ( X2 = bot_bo535777328l_bool
    | image_18964633_state(cOMBK_701929478e_bool(X1),X2) = insert1415133716_state(X1,bot_bo620288102e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2278]) ).

cnf(c_0_2279_0,axiom,
    ( image_1828608335e_bool(cOMBK_1039769424_state(X1),X2) = insert1556680138e_bool(X1,bot_bo535777328l_bool)
    | X2 = bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2279]) ).

cnf(c_0_2279_1,axiom,
    ( X2 = bot_bo620288102e_bool
    | image_1828608335e_bool(cOMBK_1039769424_state(X1),X2) = insert1556680138e_bool(X1,bot_bo535777328l_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2279]) ).

cnf(c_0_2280_0,axiom,
    ( image_2131964411e_bool(cOMBK_2035509764_state(X1),X2) = insert1325755072e_bool(X1,bot_bo1649642514l_bool)
    | X2 = bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2280]) ).

cnf(c_0_2280_1,axiom,
    ( X2 = bot_bo620288102e_bool
    | image_2131964411e_bool(cOMBK_2035509764_state(X1),X2) = insert1325755072e_bool(X1,bot_bo1649642514l_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2280]) ).

cnf(c_0_2281_0,axiom,
    ( image_54689091_pname(cOMBK_168215364_state(X1),X2) = insert_pname(X1,bot_bo844097828e_bool)
    | X2 = bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2281]) ).

cnf(c_0_2281_1,axiom,
    ( X2 = bot_bo620288102e_bool
    | image_54689091_pname(cOMBK_168215364_state(X1),X2) = insert_pname(X1,bot_bo844097828e_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_2281]) ).

cnf(c_0_2283_0,axiom,
    ( hBOOL(hAPP_bool_bool(fNot,X1))
    | hBOOL(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2283]) ).

cnf(c_0_2283_1,axiom,
    ( hBOOL(X1)
    | hBOOL(hAPP_bool_bool(fNot,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2283]) ).

cnf(c_0_2284_0,axiom,
    ( X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | image_2003357581_state(X2,X1) != bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2284]) ).

cnf(c_0_2284_1,axiom,
    ( ~ is_fun_pname_bool(X1)
    | X1 = bot_bo844097828e_bool
    | image_2003357581_state(X2,X1) != bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2284]) ).

cnf(c_0_2284_2,axiom,
    ( image_2003357581_state(X2,X1) != bot_bo620288102e_bool
    | ~ is_fun_pname_bool(X1)
    | X1 = bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2284]) ).

cnf(c_0_2285_0,axiom,
    ( X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | image_2003357581_state(X2,X1) != bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2285]) ).

cnf(c_0_2285_1,axiom,
    ( ~ is_fun_pname_bool(X1)
    | X1 = bot_bo844097828e_bool
    | image_2003357581_state(X2,X1) != bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2285]) ).

cnf(c_0_2285_2,axiom,
    ( image_2003357581_state(X2,X1) != bot_bo620288102e_bool
    | ~ is_fun_pname_bool(X1)
    | X1 = bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2285]) ).

cnf(c_0_2300_0,axiom,
    ( image_1283814551_pname(cOMBK_948730864e_bool(X2),X1) = bot_bo844097828e_bool
    | ~ is_fun1661590463l_bool(X1)
    | X1 != bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2300]) ).

cnf(c_0_2300_1,axiom,
    ( ~ is_fun1661590463l_bool(X1)
    | image_1283814551_pname(cOMBK_948730864e_bool(X2),X1) = bot_bo844097828e_bool
    | X1 != bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2300]) ).

cnf(c_0_2300_2,axiom,
    ( X1 != bot_bo1649642514l_bool
    | ~ is_fun1661590463l_bool(X1)
    | image_1283814551_pname(cOMBK_948730864e_bool(X2),X1) = bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2300]) ).

cnf(c_0_2301_0,axiom,
    ( image_516545147_state(cOMBK_1503445380e_bool(X2),X1) = bot_bo620288102e_bool
    | ~ is_fun1661590463l_bool(X1)
    | X1 != bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2301]) ).

cnf(c_0_2301_1,axiom,
    ( ~ is_fun1661590463l_bool(X1)
    | image_516545147_state(cOMBK_1503445380e_bool(X2),X1) = bot_bo620288102e_bool
    | X1 != bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2301]) ).

cnf(c_0_2301_2,axiom,
    ( X1 != bot_bo1649642514l_bool
    | ~ is_fun1661590463l_bool(X1)
    | image_516545147_state(cOMBK_1503445380e_bool(X2),X1) = bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2301]) ).

cnf(c_0_2302_0,axiom,
    ( image_pname_pname(cOMBK_pname_pname(X2),X1) = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2302]) ).

cnf(c_0_2302_1,axiom,
    ( ~ is_fun_pname_bool(X1)
    | image_pname_pname(cOMBK_pname_pname(X2),X1) = bot_bo844097828e_bool
    | X1 != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2302]) ).

cnf(c_0_2302_2,axiom,
    ( X1 != bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | image_pname_pname(cOMBK_pname_pname(X2),X1) = bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2302]) ).

cnf(c_0_2303_0,axiom,
    ( image_70449425e_bool(cOMBK_1706929794_pname(X2),X1) = bot_bo535777328l_bool
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2303]) ).

cnf(c_0_2303_1,axiom,
    ( ~ is_fun_pname_bool(X1)
    | image_70449425e_bool(cOMBK_1706929794_pname(X2),X1) = bot_bo535777328l_bool
    | X1 != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2303]) ).

cnf(c_0_2303_2,axiom,
    ( X1 != bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | image_70449425e_bool(cOMBK_1706929794_pname(X2),X1) = bot_bo535777328l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2303]) ).

cnf(c_0_2304_0,axiom,
    ( image_47868345e_bool(cOMBK_37193422_pname(X2),X1) = bot_bo1649642514l_bool
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2304]) ).

cnf(c_0_2304_1,axiom,
    ( ~ is_fun_pname_bool(X1)
    | image_47868345e_bool(cOMBK_37193422_pname(X2),X1) = bot_bo1649642514l_bool
    | X1 != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2304]) ).

cnf(c_0_2304_2,axiom,
    ( X1 != bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | image_47868345e_bool(cOMBK_37193422_pname(X2),X1) = bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2304]) ).

cnf(c_0_2305_0,axiom,
    ( image_2003357581_state(cOMBK_367030522_pname(X2),X1) = bot_bo620288102e_bool
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2305]) ).

cnf(c_0_2305_1,axiom,
    ( ~ is_fun_pname_bool(X1)
    | image_2003357581_state(cOMBK_367030522_pname(X2),X1) = bot_bo620288102e_bool
    | X1 != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2305]) ).

cnf(c_0_2305_2,axiom,
    ( X1 != bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | image_2003357581_state(cOMBK_367030522_pname(X2),X1) = bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2305]) ).

cnf(c_0_2306_0,axiom,
    ( hAPP_f166538662l_bool(cOMBK_482404831l_bool(X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2306]) ).

cnf(c_0_2306_1,axiom,
    ( ~ is_bool(X1)
    | hAPP_f166538662l_bool(cOMBK_482404831l_bool(X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2306]) ).

cnf(c_0_2307_0,axiom,
    ( hAPP_H356885323e_bool(cOMBK_2035509764_state(X1),X2) = X1
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2307]) ).

cnf(c_0_2307_1,axiom,
    ( ~ is_fun_pname_bool(X1)
    | hAPP_H356885323e_bool(cOMBK_2035509764_state(X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2307]) ).

cnf(c_0_2308_0,axiom,
    ( hAPP_f560369737_pname(cOMBK_1589414042e_bool(X1),X2) = X1
    | ~ is_pname(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2308]) ).

cnf(c_0_2308_1,axiom,
    ( ~ is_pname(X1)
    | hAPP_f560369737_pname(cOMBK_1589414042e_bool(X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2308]) ).

cnf(c_0_2309_0,axiom,
    ( hAPP_f971112728l_bool(cOMBK_129401207e_bool(X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2309]) ).

cnf(c_0_2309_1,axiom,
    ( ~ is_bool(X1)
    | hAPP_f971112728l_bool(cOMBK_129401207e_bool(X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2309]) ).

cnf(c_0_2310_0,axiom,
    ( hAPP_H1621176307_pname(cOMBK_168215364_state(X1),X2) = X1
    | ~ is_pname(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2310]) ).

cnf(c_0_2310_1,axiom,
    ( ~ is_pname(X1)
    | hAPP_H1621176307_pname(cOMBK_168215364_state(X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2310]) ).

cnf(c_0_2311_0,axiom,
    ( hAPP_H78829294e_bool(cOMBK_659609255_state(X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2311]) ).

cnf(c_0_2311_1,axiom,
    ( ~ is_bool(X1)
    | hAPP_H78829294e_bool(cOMBK_659609255_state(X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2311]) ).

cnf(c_0_2312_0,axiom,
    ( hAPP_p61793385e_bool(cOMBK_37193422_pname(X1),X2) = X1
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2312]) ).

cnf(c_0_2312_1,axiom,
    ( ~ is_fun_pname_bool(X1)
    | hAPP_p61793385e_bool(cOMBK_37193422_pname(X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2312]) ).

cnf(c_0_2313_0,axiom,
    ( hAPP_f1297739591_pname(cOMBK_948730864e_bool(X1),X2) = X1
    | ~ is_pname(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2313]) ).

cnf(c_0_2313_1,axiom,
    ( ~ is_pname(X1)
    | hAPP_f1297739591_pname(cOMBK_948730864e_bool(X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2313]) ).

cnf(c_0_2314_0,axiom,
    ( hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2314]) ).

cnf(c_0_2314_1,axiom,
    ( ~ is_bool(X1)
    | hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2314]) ).

cnf(c_0_2315_0,axiom,
    ( hAPP_pname_pname(cOMBK_pname_pname(X1),X2) = X1
    | ~ is_pname(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2315]) ).

cnf(c_0_2315_1,axiom,
    ( ~ is_pname(X1)
    | hAPP_pname_pname(cOMBK_pname_pname(X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2315]) ).

cnf(c_0_2316_0,axiom,
    ( hAPP_pname_bool(cOMBK_bool_pname(X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2316]) ).

cnf(c_0_2316_1,axiom,
    ( ~ is_bool(X1)
    | hAPP_pname_bool(cOMBK_bool_pname(X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2316]) ).

cnf(c_0_2323_0,axiom,
    ( image_2003357581_state(X2,X1) = bot_bo620288102e_bool
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2323]) ).

cnf(c_0_2323_1,axiom,
    ( ~ is_fun_pname_bool(X1)
    | image_2003357581_state(X2,X1) = bot_bo620288102e_bool
    | X1 != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2323]) ).

cnf(c_0_2323_2,axiom,
    ( X1 != bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | image_2003357581_state(X2,X1) = bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2323]) ).

cnf(c_0_2324_0,axiom,
    ( image_2003357581_state(X2,X1) = bot_bo620288102e_bool
    | ~ is_fun_pname_bool(X1)
    | X1 != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2324]) ).

cnf(c_0_2324_1,axiom,
    ( ~ is_fun_pname_bool(X1)
    | image_2003357581_state(X2,X1) = bot_bo620288102e_bool
    | X1 != bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2324]) ).

cnf(c_0_2324_2,axiom,
    ( X1 != bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1)
    | image_2003357581_state(X2,X1) = bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2324]) ).

cnf(c_0_2325_0,axiom,
    ( image_187965177_pname(cOMBK_1589414042e_bool(X1),X2) = bot_bo844097828e_bool
    | X2 != bot_bo535777328l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2325]) ).

cnf(c_0_2325_1,axiom,
    ( X2 != bot_bo535777328l_bool
    | image_187965177_pname(cOMBK_1589414042e_bool(X1),X2) = bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2325]) ).

cnf(c_0_2326_0,axiom,
    ( image_18964633_state(cOMBK_701929478e_bool(X1),X2) = bot_bo620288102e_bool
    | X2 != bot_bo535777328l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2326]) ).

cnf(c_0_2326_1,axiom,
    ( X2 != bot_bo535777328l_bool
    | image_18964633_state(cOMBK_701929478e_bool(X1),X2) = bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2326]) ).

cnf(c_0_2327_0,axiom,
    ( image_1828608335e_bool(cOMBK_1039769424_state(X1),X2) = bot_bo535777328l_bool
    | X2 != bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2327]) ).

cnf(c_0_2327_1,axiom,
    ( X2 != bot_bo620288102e_bool
    | image_1828608335e_bool(cOMBK_1039769424_state(X1),X2) = bot_bo535777328l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2327]) ).

cnf(c_0_2328_0,axiom,
    ( image_2131964411e_bool(cOMBK_2035509764_state(X1),X2) = bot_bo1649642514l_bool
    | X2 != bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2328]) ).

cnf(c_0_2328_1,axiom,
    ( X2 != bot_bo620288102e_bool
    | image_2131964411e_bool(cOMBK_2035509764_state(X1),X2) = bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2328]) ).

cnf(c_0_2329_0,axiom,
    ( image_54689091_pname(cOMBK_168215364_state(X1),X2) = bot_bo844097828e_bool
    | X2 != bot_bo620288102e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2329]) ).

cnf(c_0_2329_1,axiom,
    ( X2 != bot_bo620288102e_bool
    | image_54689091_pname(cOMBK_168215364_state(X1),X2) = bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2329]) ).

cnf(c_0_2339_0,axiom,
    ( X1 = bot_bo844097828e_bool
    | is_pname(sk1_esk20_1(X1))
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2339]) ).

cnf(c_0_2339_1,axiom,
    ( is_pname(sk1_esk20_1(X1))
    | X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2339]) ).

cnf(c_0_2339_2,axiom,
    ( ~ is_fun_pname_bool(X1)
    | is_pname(sk1_esk20_1(X1))
    | X1 = bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2339]) ).

cnf(c_0_2340_0,axiom,
    ( X1 = bot_bo1649642514l_bool
    | is_fun_pname_bool(sk1_esk17_1(X1))
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2340]) ).

cnf(c_0_2340_1,axiom,
    ( is_fun_pname_bool(sk1_esk17_1(X1))
    | X1 = bot_bo1649642514l_bool
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2340]) ).

cnf(c_0_2340_2,axiom,
    ( ~ is_fun1661590463l_bool(X1)
    | is_fun_pname_bool(sk1_esk17_1(X1))
    | X1 = bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2340]) ).

cnf(c_0_2341_0,axiom,
    ( X1 = bot_bo844097828e_bool
    | is_pname(sk1_esk16_1(X1))
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2341]) ).

cnf(c_0_2341_1,axiom,
    ( is_pname(sk1_esk16_1(X1))
    | X1 = bot_bo844097828e_bool
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2341]) ).

cnf(c_0_2341_2,axiom,
    ( ~ is_fun_pname_bool(X1)
    | is_pname(sk1_esk16_1(X1))
    | X1 = bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2341]) ).

cnf(c_0_2342_0,axiom,
    ( X1 = bot_bo1649642514l_bool
    | is_fun_pname_bool(sk1_esk13_1(X1))
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2342]) ).

cnf(c_0_2342_1,axiom,
    ( is_fun_pname_bool(sk1_esk13_1(X1))
    | X1 = bot_bo1649642514l_bool
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2342]) ).

cnf(c_0_2342_2,axiom,
    ( ~ is_fun1661590463l_bool(X1)
    | is_fun_pname_bool(sk1_esk13_1(X1))
    | X1 = bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2342]) ).

cnf(c_0_2343_0,axiom,
    ( is_fun1661590463l_bool(collec1974731493e_bool(X1))
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2343]) ).

cnf(c_0_2343_1,axiom,
    ( ~ is_fun1661590463l_bool(X1)
    | is_fun1661590463l_bool(collec1974731493e_bool(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2343]) ).

cnf(c_0_2344_0,axiom,
    ( is_fun_pname_bool(collect_pname(X1))
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2344]) ).

cnf(c_0_2344_1,axiom,
    ( ~ is_fun_pname_bool(X1)
    | is_fun_pname_bool(collect_pname(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2344]) ).

cnf(c_0_2345_0,axiom,
    ( is_fun1661590463l_bool(cOMBK_1857069011e_bool(X1))
    | ~ is_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2345]) ).

cnf(c_0_2345_1,axiom,
    ( ~ is_bool(X1)
    | is_fun1661590463l_bool(cOMBK_1857069011e_bool(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2345]) ).

cnf(c_0_2346_0,axiom,
    ( is_fun_pname_bool(cOMBK_bool_pname(X1))
    | ~ is_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2346]) ).

cnf(c_0_2346_1,axiom,
    ( ~ is_bool(X1)
    | is_fun_pname_bool(cOMBK_bool_pname(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2346]) ).

cnf(c_0_2347_0,axiom,
    ( collect_pname(X1) = bot_bo844097828e_bool
    | is_pname(sk1_esk12_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2347]) ).

cnf(c_0_2347_1,axiom,
    ( is_pname(sk1_esk12_1(X1))
    | collect_pname(X1) = bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2347]) ).

cnf(c_0_2348_0,axiom,
    ( collec1974731493e_bool(X1) = bot_bo1649642514l_bool
    | is_fun_pname_bool(sk1_esk10_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2348]) ).

cnf(c_0_2348_1,axiom,
    ( is_fun_pname_bool(sk1_esk10_1(X1))
    | collec1974731493e_bool(X1) = bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2348]) ).

cnf(c_0_2349_0,axiom,
    ( collec1613912337l_bool(X1) = bot_bo1537088220l_bool
    | is_fun1661590463l_bool(sk1_esk7_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2349]) ).

cnf(c_0_2349_1,axiom,
    ( is_fun1661590463l_bool(sk1_esk7_1(X1))
    | collec1613912337l_bool(X1) = bot_bo1537088220l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2349]) ).

cnf(c_0_2350_0,axiom,
    ( collect_pname(X1) = bot_bo844097828e_bool
    | is_pname(sk1_esk6_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2350]) ).

cnf(c_0_2350_1,axiom,
    ( is_pname(sk1_esk6_1(X1))
    | collect_pname(X1) = bot_bo844097828e_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2350]) ).

cnf(c_0_2351_0,axiom,
    ( collec1974731493e_bool(X1) = bot_bo1649642514l_bool
    | is_fun_pname_bool(sk1_esk4_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2351]) ).

cnf(c_0_2351_1,axiom,
    ( is_fun_pname_bool(sk1_esk4_1(X1))
    | collec1974731493e_bool(X1) = bot_bo1649642514l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2351]) ).

cnf(c_0_2352_0,axiom,
    ( collec1613912337l_bool(X1) = bot_bo1537088220l_bool
    | is_fun1661590463l_bool(sk1_esk1_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2352]) ).

cnf(c_0_2352_1,axiom,
    ( is_fun1661590463l_bool(sk1_esk1_1(X1))
    | collec1613912337l_bool(X1) = bot_bo1537088220l_bool ),
    inference(literals_permutation,[status(thm)],[c_0_2352]) ).

cnf(c_0_2354_0,axiom,
    ( collec1974731493e_bool(X1) = X1
    | ~ is_fun1661590463l_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2354]) ).

cnf(c_0_2354_1,axiom,
    ( ~ is_fun1661590463l_bool(X1)
    | collec1974731493e_bool(X1) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2354]) ).

cnf(c_0_2355_0,axiom,
    ( collect_pname(X1) = X1
    | ~ is_fun_pname_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2355]) ).

cnf(c_0_2355_1,axiom,
    ( ~ is_fun_pname_bool(X1)
    | collect_pname(X1) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2355]) ).

cnf(c_0_2358_0,axiom,
    ( X1 = fFalse
    | X1 = fTrue
    | ~ is_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2358]) ).

cnf(c_0_2358_1,axiom,
    ( X1 = fTrue
    | X1 = fFalse
    | ~ is_bool(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2358]) ).

cnf(c_0_2358_2,axiom,
    ( ~ is_bool(X1)
    | X1 = fTrue
    | X1 = fFalse ),
    inference(literals_permutation,[status(thm)],[c_0_2358]) ).

cnf(c_0_2120_0,axiom,
    ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)),
    inference(literals_permutation,[status(thm)],[c_0_2120]) ).

cnf(c_0_2121_0,axiom,
    ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),bot_bo620288102e_bool)),
    inference(literals_permutation,[status(thm)],[c_0_2121]) ).

cnf(c_0_2122_0,axiom,
    ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),bot_bo535777328l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_2122]) ).

cnf(c_0_2123_0,axiom,
    ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),bot_bo1649642514l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_2123]) ).

cnf(c_0_2124_0,axiom,
    ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)),
    inference(literals_permutation,[status(thm)],[c_0_2124]) ).

cnf(c_0_2125_0,axiom,
    ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),bot_bo535777328l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_2125]) ).

cnf(c_0_2126_0,axiom,
    ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),bot_bo1649642514l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_2126]) ).

cnf(c_0_2127_0,axiom,
    ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),bot_bo620288102e_bool)),
    inference(literals_permutation,[status(thm)],[c_0_2127]) ).

cnf(c_0_2330_0,axiom,
    insert1415133716_state(X1,X2) != bot_bo620288102e_bool,
    inference(literals_permutation,[status(thm)],[c_0_2330]) ).

cnf(c_0_2331_0,axiom,
    insert_pname(X1,X2) != bot_bo844097828e_bool,
    inference(literals_permutation,[status(thm)],[c_0_2331]) ).

cnf(c_0_2332_0,axiom,
    insert1415133716_state(X1,X2) != bot_bo620288102e_bool,
    inference(literals_permutation,[status(thm)],[c_0_2332]) ).

cnf(c_0_2333_0,axiom,
    insert_pname(X1,X2) != bot_bo844097828e_bool,
    inference(literals_permutation,[status(thm)],[c_0_2333]) ).

cnf(c_0_2367_0,axiom,
    ~ hBOOL(fFalse),
    inference(literals_permutation,[status(thm)],[c_0_2367]) ).

cnf(c_0_1848_0,axiom,
    collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fimplies,cOMBB_1522210668e_bool(fNot,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1))),X2)) = insert1556680138e_bool(X1,collec1823980261e_bool(X2)),
    inference(literals_permutation,[status(thm)],[c_0_1848]) ).

cnf(c_0_1849_0,axiom,
    collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1))),X2)) = insert1325755072e_bool(X1,collec1974731493e_bool(X2)),
    inference(literals_permutation,[status(thm)],[c_0_1849]) ).

cnf(c_0_1850_0,axiom,
    collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1))),X2)) = insert1415133716_state(X1,collec307967673_state(X2)),
    inference(literals_permutation,[status(thm)],[c_0_1850]) ).

cnf(c_0_1851_0,axiom,
    collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),X2)) = insert_pname(X1,collect_pname(X2)),
    inference(literals_permutation,[status(thm)],[c_0_1851]) ).

cnf(c_0_1909_0,axiom,
    collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X2))) = insert1556680138e_bool(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_1909]) ).

cnf(c_0_1910_0,axiom,
    collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2))) = insert1325755072e_bool(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_1910]) ).

cnf(c_0_1911_0,axiom,
    collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2))) = insert1415133716_state(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_1911]) ).

cnf(c_0_1912_0,axiom,
    collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))) = insert_pname(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_1912]) ).

cnf(c_0_1913_0,axiom,
    collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X2))) = insert1556680138e_bool(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_1913]) ).

cnf(c_0_1914_0,axiom,
    collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2))) = insert1325755072e_bool(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_1914]) ).

cnf(c_0_1915_0,axiom,
    collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2))) = insert1415133716_state(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_1915]) ).

cnf(c_0_1916_0,axiom,
    collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))) = insert_pname(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_1916]) ).

cnf(c_0_2055_0,axiom,
    is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))),
    inference(literals_permutation,[status(thm)],[c_0_2055]) ).

cnf(c_0_2065_0,axiom,
    hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),insert1415133716_state(X2,X1))),
    inference(literals_permutation,[status(thm)],[c_0_2065]) ).

cnf(c_0_2066_0,axiom,
    hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X2,X1))),
    inference(literals_permutation,[status(thm)],[c_0_2066]) ).

cnf(c_0_2067_0,axiom,
    hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X1,X2))),
    inference(literals_permutation,[status(thm)],[c_0_2067]) ).

cnf(c_0_2068_0,axiom,
    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X1,X2))),
    inference(literals_permutation,[status(thm)],[c_0_2068]) ).

cnf(c_0_2136_0,axiom,
    hAPP_bool_bool(hAPP_f2143399574l_bool(X1,X3),hAPP_f166538662l_bool(X2,X3)) = hAPP_f166538662l_bool(cOMBS_1358309691l_bool(X1,X2),X3),
    inference(literals_permutation,[status(thm)],[c_0_2136]) ).

cnf(c_0_2137_0,axiom,
    hAPP_bool_bool(hAPP_f637090980l_bool(X1,X3),hAPP_f971112728l_bool(X2,X3)) = hAPP_f971112728l_bool(cOMBS_2066081387l_bool(X1,X2),X3),
    inference(literals_permutation,[status(thm)],[c_0_2137]) ).

cnf(c_0_2138_0,axiom,
    hAPP_bool_bool(hAPP_f32027384l_bool(X1,X3),hAPP_f1935102916l_bool(X2,X3)) = hAPP_f1935102916l_bool(cOMBS_811933079l_bool(X1,X2),X3),
    inference(literals_permutation,[status(thm)],[c_0_2138]) ).

cnf(c_0_2139_0,axiom,
    hAPP_bool_bool(hAPP_H1187982158l_bool(X1,X3),hAPP_H78829294e_bool(X2,X3)) = hAPP_H78829294e_bool(cOMBS_458705923l_bool(X1,X2),X3),
    inference(literals_permutation,[status(thm)],[c_0_2139]) ).

cnf(c_0_2140_0,axiom,
    hAPP_bool_bool(hAPP_f1476298914l_bool(X1,X3),hAPP_f1664156314l_bool(X2,X3)) = hAPP_f1664156314l_bool(cOMBS_350070575l_bool(X1,X2),X3),
    inference(literals_permutation,[status(thm)],[c_0_2140]) ).

cnf(c_0_2141_0,axiom,
    hAPP_bool_bool(hAPP_p393069232l_bool(X1,X3),hAPP_pname_bool(X2,X3)) = hAPP_pname_bool(cOMBS_568398431l_bool(X1,X2),X3),
    inference(literals_permutation,[status(thm)],[c_0_2141]) ).

cnf(c_0_2142_0,axiom,
    insert1415133716_state(hAPP_p1422361149_state(X1,X2),image_2003357581_state(X1,X3)) = image_2003357581_state(X1,insert_pname(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_2142]) ).

cnf(c_0_2150_0,axiom,
    hAPP_f468958928l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(X1),X2),X3) = hAPP_f468958928l_bool(hAPP_f667366769l_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_2150]) ).

cnf(c_0_2151_0,axiom,
    hAPP_f166538662l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(X1),X2),X3) = hAPP_f166538662l_bool(hAPP_f585161855l_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_2151]) ).

cnf(c_0_2152_0,axiom,
    hAPP_f971112728l_bool(hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(X1),X2),X3) = hAPP_f166538662l_bool(hAPP_f210337421l_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_2152]) ).

cnf(c_0_2153_0,axiom,
    hAPP_f389811538l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(X1),X2),X3) = hAPP_f389811538l_bool(hAPP_f1759205631l_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_2153]) ).

cnf(c_0_2154_0,axiom,
    hAPP_f971112728l_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(X1),X2),X3) = hAPP_f971112728l_bool(hAPP_f72706945l_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_2154]) ).

cnf(c_0_2155_0,axiom,
    hAPP_H78829294e_bool(hAPP_f98417237e_bool(cOMBC_1734175330l_bool(X1),X2),X3) = hAPP_f971112728l_bool(hAPP_H30606679l_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_2155]) ).

cnf(c_0_2156_0,axiom,
    hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(X1),X2),X3) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_2156]) ).

cnf(c_0_2157_0,axiom,
    hAPP_H78829294e_bool(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(X1),X2),X3) = hAPP_H78829294e_bool(hAPP_H1049623551e_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_2157]) ).

cnf(c_0_2158_0,axiom,
    hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(X1),X2),X3) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_2158]) ).

cnf(c_0_2159_0,axiom,
    hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(X1),X2),X3) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_2159]) ).

cnf(c_0_2160_0,axiom,
    hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(X1),X2),X3) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_2160]) ).

cnf(c_0_2161_0,axiom,
    hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(X1),X2),X3) = hAPP_pname_bool(hAPP_p61793385e_bool(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_2161]) ).

cnf(c_0_2171_0,axiom,
    hAPP_f2143399574l_bool(cOMBB_404111180l_bool(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f166538662l_bool(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_2171]) ).

cnf(c_0_2172_0,axiom,
    hAPP_f637090980l_bool(cOMBB_1585081418e_bool(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f971112728l_bool(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_2172]) ).

cnf(c_0_2173_0,axiom,
    hAPP_f32027384l_bool(cOMBB_689948150l_bool(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f1935102916l_bool(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_2173]) ).

cnf(c_0_2174_0,axiom,
    hAPP_H1187982158l_bool(cOMBB_962198420_state(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_H78829294e_bool(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_2174]) ).

cnf(c_0_2175_0,axiom,
    hAPP_f971112728l_bool(cOMBB_1522210668e_bool(X1,X2),X3) = hAPP_bool_bool(X1,hAPP_f971112728l_bool(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_2175]) ).

cnf(c_0_2176_0,axiom,
    hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f1664156314l_bool(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_2176]) ).

cnf(c_0_2177_0,axiom,
    hAPP_H78829294e_bool(cOMBB_2144135922_state(X1,X2),X3) = hAPP_bool_bool(X1,hAPP_H78829294e_bool(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_2177]) ).

cnf(c_0_2178_0,axiom,
    hAPP_p1422361149_state(cOMBB_699532858_pname(X1,X2),X3) = hAPP_c1126217667_state(X1,hAPP_pname_com(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_2178]) ).

cnf(c_0_2179_0,axiom,
    hAPP_p393069232l_bool(cOMBB_675860798_pname(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_pname_bool(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_2179]) ).

cnf(c_0_2180_0,axiom,
    hAPP_f1664156314l_bool(cOMBB_307249310e_bool(X1,X2),X3) = hAPP_bool_bool(X1,hAPP_f1664156314l_bool(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_2180]) ).

cnf(c_0_2181_0,axiom,
    hAPP_option_com_com(X1,hAPP_p799580910on_com(X2,X3)) = hAPP_pname_com(cOMBB_923936821_pname(X1,X2),X3),
    inference(literals_permutation,[status(thm)],[c_0_2181]) ).

cnf(c_0_2182_0,axiom,
    hAPP_bool_bool(X1,hAPP_pname_bool(X2,X3)) = hAPP_pname_bool(cOMBB_647938656_pname(X1,X2),X3),
    inference(literals_permutation,[status(thm)],[c_0_2182]) ).

cnf(c_0_2183_0,axiom,
    insert1415133716_state(X1,insert1415133716_state(X2,X3)) = insert1415133716_state(X2,insert1415133716_state(X1,X3)),
    inference(literals_permutation,[status(thm)],[c_0_2183]) ).

cnf(c_0_2184_0,axiom,
    insert_pname(X1,insert_pname(X2,X3)) = insert_pname(X2,insert_pname(X1,X3)),
    inference(literals_permutation,[status(thm)],[c_0_2184]) ).

cnf(c_0_2199_0,axiom,
    hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X1)),
    inference(literals_permutation,[status(thm)],[c_0_2199]) ).

cnf(c_0_2200_0,axiom,
    hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)),
    inference(literals_permutation,[status(thm)],[c_0_2200]) ).

cnf(c_0_2202_0,axiom,
    hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X1)),
    inference(literals_permutation,[status(thm)],[c_0_2202]) ).

cnf(c_0_2203_0,axiom,
    hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,bot_bo535777328l_bool),X1)),
    inference(literals_permutation,[status(thm)],[c_0_2203]) ).

cnf(c_0_2204_0,axiom,
    hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,bot_bo1649642514l_bool),X1)),
    inference(literals_permutation,[status(thm)],[c_0_2204]) ).

cnf(c_0_2205_0,axiom,
    hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,bot_bo620288102e_bool),X1)),
    inference(literals_permutation,[status(thm)],[c_0_2205]) ).

cnf(c_0_2220_0,axiom,
    insert1415133716_state(X1,insert1415133716_state(X1,X2)) = insert1415133716_state(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_2220]) ).

cnf(c_0_2221_0,axiom,
    insert_pname(X1,insert_pname(X1,X2)) = insert_pname(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_2221]) ).

cnf(c_0_2226_0,axiom,
    is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))),
    inference(literals_permutation,[status(thm)],[c_0_2226]) ).

cnf(c_0_2227_0,axiom,
    collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)) = insert1556680138e_bool(X1,bot_bo535777328l_bool),
    inference(literals_permutation,[status(thm)],[c_0_2227]) ).

cnf(c_0_2228_0,axiom,
    collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)) = insert1325755072e_bool(X1,bot_bo1649642514l_bool),
    inference(literals_permutation,[status(thm)],[c_0_2228]) ).

cnf(c_0_2229_0,axiom,
    collec307967673_state(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)) = insert1415133716_state(X1,bot_bo620288102e_bool),
    inference(literals_permutation,[status(thm)],[c_0_2229]) ).

cnf(c_0_2230_0,axiom,
    collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)) = insert_pname(X1,bot_bo844097828e_bool),
    inference(literals_permutation,[status(thm)],[c_0_2230]) ).

cnf(c_0_2256_0,axiom,
    collec1823980261e_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X1)) = insert1556680138e_bool(X1,bot_bo535777328l_bool),
    inference(literals_permutation,[status(thm)],[c_0_2256]) ).

cnf(c_0_2257_0,axiom,
    collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1)) = insert1325755072e_bool(X1,bot_bo1649642514l_bool),
    inference(literals_permutation,[status(thm)],[c_0_2257]) ).

cnf(c_0_2258_0,axiom,
    collec307967673_state(hAPP_H1049623551e_bool(fequal1111551311_state,X1)) = insert1415133716_state(X1,bot_bo620288102e_bool),
    inference(literals_permutation,[status(thm)],[c_0_2258]) ).

cnf(c_0_2259_0,axiom,
    collect_pname(hAPP_p61793385e_bool(fequal_pname,X1)) = insert_pname(X1,bot_bo844097828e_bool),
    inference(literals_permutation,[status(thm)],[c_0_2259]) ).

cnf(c_0_2260_0,axiom,
    hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),bot_bo620288102e_bool)),
    inference(literals_permutation,[status(thm)],[c_0_2260]) ).

cnf(c_0_2282_0,axiom,
    hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,dom_pname_com(body))),
    inference(literals_permutation,[status(thm)],[c_0_2282]) ).

cnf(c_0_2286_0,axiom,
    is_bool(hAPP_f1022807134l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_2286]) ).

cnf(c_0_2287_0,axiom,
    is_bool(hAPP_f595608956l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_2287]) ).

cnf(c_0_2288_0,axiom,
    is_bool(hAPP_f468958928l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_2288]) ).

cnf(c_0_2289_0,axiom,
    is_bool(hAPP_f389811538l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_2289]) ).

cnf(c_0_2290_0,axiom,
    is_bool(hAPP_f166538662l_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_2290]) ).

cnf(c_0_2291_0,axiom,
    is_pname(hAPP_f560369737_pname(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_2291]) ).

cnf(c_0_2292_0,axiom,
    is_fun_pname_bool(hAPP_H356885323e_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_2292]) ).

cnf(c_0_2293_0,axiom,
    is_bool(hAPP_H78829294e_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_2293]) ).

cnf(c_0_2294_0,axiom,
    is_pname(hAPP_H1621176307_pname(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_2294]) ).

cnf(c_0_2295_0,axiom,
    is_fun_pname_bool(image_1619336331_pname(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_2295]) ).

cnf(c_0_2296_0,axiom,
    is_fun_pname_bool(image_1705983821_pname(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_2296]) ).

cnf(c_0_2297_0,axiom,
    is_fun_pname_bool(image_187965177_pname(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_2297]) ).

cnf(c_0_2298_0,axiom,
    is_fun1661590463l_bool(image_2131964411e_bool(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_2298]) ).

cnf(c_0_2299_0,axiom,
    is_fun_pname_bool(image_54689091_pname(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_2299]) ).

cnf(c_0_2317_0,axiom,
    hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_2317]) ).

cnf(c_0_2318_0,axiom,
    hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,bot_bo535777328l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_2318]) ).

cnf(c_0_2319_0,axiom,
    hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,bot_bo1761158942l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_2319]) ).

cnf(c_0_2320_0,axiom,
    hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,bot_bo1537088220l_bool)),
    inference(literals_permutation,[status(thm)],[c_0_2320]) ).

cnf(c_0_2321_0,axiom,
    hBOOL(hAPP_f971112728l_bool(finite364844667_state,bot_bo620288102e_bool)),
    inference(literals_permutation,[status(thm)],[c_0_2321]) ).

cnf(c_0_2322_0,axiom,
    hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)),
    inference(literals_permutation,[status(thm)],[c_0_2322]) ).

cnf(c_0_2334_0,axiom,
    hAPP_H1049623551e_bool(cOMBK_1039769424_state(X1),X2) = X1,
    inference(literals_permutation,[status(thm)],[c_0_2334]) ).

cnf(c_0_2335_0,axiom,
    hAPP_f1387463497_state(cOMBK_701929478e_bool(X1),X2) = X1,
    inference(literals_permutation,[status(thm)],[c_0_2335]) ).

cnf(c_0_2336_0,axiom,
    hAPP_p442853985e_bool(cOMBK_1706929794_pname(X1),X2) = X1,
    inference(literals_permutation,[status(thm)],[c_0_2336]) ).

cnf(c_0_2337_0,axiom,
    hAPP_f888949707_state(cOMBK_1503445380e_bool(X1),X2) = X1,
    inference(literals_permutation,[status(thm)],[c_0_2337]) ).

cnf(c_0_2338_0,axiom,
    hAPP_p1422361149_state(cOMBK_367030522_pname(X1),X2) = X1,
    inference(literals_permutation,[status(thm)],[c_0_2338]) ).

cnf(c_0_2353_0,axiom,
    image_2003357581_state(X1,bot_bo844097828e_bool) = bot_bo620288102e_bool,
    inference(literals_permutation,[status(thm)],[c_0_2353]) ).

cnf(c_0_2356_0,axiom,
    is_fun1661590463l_bool(dom_fu2081503504ol_com(X1)),
    inference(literals_permutation,[status(thm)],[c_0_2356]) ).

cnf(c_0_2357_0,axiom,
    is_bool(wt(X1)),
    inference(literals_permutation,[status(thm)],[c_0_2357]) ).

cnf(c_0_2359_0,axiom,
    collect_pname(cOMBK_bool_pname(fFalse)) = bot_bo844097828e_bool,
    inference(literals_permutation,[status(thm)],[c_0_2359]) ).

cnf(c_0_2360_0,axiom,
    collec307967673_state(cOMBK_659609255_state(fFalse)) = bot_bo620288102e_bool,
    inference(literals_permutation,[status(thm)],[c_0_2360]) ).

cnf(c_0_2361_0,axiom,
    collec1974731493e_bool(cOMBK_1857069011e_bool(fFalse)) = bot_bo1649642514l_bool,
    inference(literals_permutation,[status(thm)],[c_0_2361]) ).

cnf(c_0_2362_0,axiom,
    collec1823980261e_bool(cOMBK_129401207e_bool(fFalse)) = bot_bo535777328l_bool,
    inference(literals_permutation,[status(thm)],[c_0_2362]) ).

cnf(c_0_2363_0,axiom,
    collec488126193l_bool(cOMBK_482404831l_bool(fFalse)) = bot_bo1761158942l_bool,
    inference(literals_permutation,[status(thm)],[c_0_2363]) ).

cnf(c_0_2364_0,axiom,
    is_pname(undefined_pname(pname)),
    inference(literals_permutation,[status(thm)],[c_0_2364]) ).

cnf(c_0_2365_0,axiom,
    collec1823980261e_bool(X1) = X1,
    inference(literals_permutation,[status(thm)],[c_0_2365]) ).

cnf(c_0_2366_0,axiom,
    collec307967673_state(X1) = X1,
    inference(literals_permutation,[status(thm)],[c_0_2366]) ).

cnf(c_0_2368_0,axiom,
    is_bool(fTrue),
    inference(literals_permutation,[status(thm)],[c_0_2368]) ).

cnf(c_0_2369_0,axiom,
    is_bool(fFalse),
    inference(literals_permutation,[status(thm)],[c_0_2369]) ).

cnf(c_0_2370_0,axiom,
    is_fun1661590463l_bool(bot_bo1649642514l_bool),
    inference(literals_permutation,[status(thm)],[c_0_2370]) ).

cnf(c_0_2371_0,axiom,
    is_fun_pname_bool(bot_bo844097828e_bool),
    inference(literals_permutation,[status(thm)],[c_0_2371]) ).

cnf(c_0_2372_0,axiom,
    is_fun1661590463l_bool(finite_finite_pname),
    inference(literals_permutation,[status(thm)],[c_0_2372]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
    file('<stdin>',conj_7) ).

fof(c_0_1_002,hypothesis,
    hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,fa),image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,cOMBB_923936821_pname(the_com,body)),dom_pname_com(body)))),
    file('<stdin>',conj_4) ).

fof(c_0_2_003,hypothesis,
    hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),fa)),
    file('<stdin>',conj_6) ).

fof(c_0_3_004,hypothesis,
    ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,y)),fa)),
    file('<stdin>',conj_3) ).

fof(c_0_4_005,hypothesis,
    ! [X1,X2] : is_bool(hAPP_f971112728l_bool(X1,X2)),
    file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__O_004) ).

fof(c_0_5_006,hypothesis,
    hBOOL(hAPP_f971112728l_bool(finite364844667_state,fa)),
    file('<stdin>',conj_2) ).

fof(c_0_6_007,hypothesis,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    file('<stdin>',conj_5) ).

fof(c_0_7_008,hypothesis,
    ! [X1] : is_fun_pname_bool(dom_pname_com(X1)),
    file('<stdin>',gsy_c_Map_Odom_000tc__Com__Opname_000tc__Com__Ocom) ).

fof(c_0_8_009,hypothesis,
    hBOOL(wT_bodies),
    file('<stdin>',conj_1) ).

fof(c_0_9_010,hypothesis,
    hBOOL(hoare_165779456gleton),
    file('<stdin>',conj_0) ).

fof(c_0_10_011,hypothesis,
    is_pname(pn),
    file('<stdin>',gsy_v_pn) ).

fof(c_0_11_012,hypothesis,
    is_bool(hoare_165779456gleton),
    file('<stdin>',gsy_c_Hoare__Mirabelle__jfehddehev_Ostate__not__singleton) ).

fof(c_0_12_013,hypothesis,
    is_bool(wT_bodies),
    file('<stdin>',gsy_c_Com_OWT__bodies) ).

fof(c_0_13_014,negated_conjecture,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).

fof(c_0_14_015,hypothesis,
    hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,fa),image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,cOMBB_923936821_pname(the_com,body)),dom_pname_com(body)))),
    c_0_1 ).

fof(c_0_15_016,hypothesis,
    hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),fa)),
    c_0_2 ).

fof(c_0_16_017,hypothesis,
    ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,y)),fa)),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_17_018,hypothesis,
    ! [X1,X2] : is_bool(hAPP_f971112728l_bool(X1,X2)),
    c_0_4 ).

fof(c_0_18_019,hypothesis,
    hBOOL(hAPP_f971112728l_bool(finite364844667_state,fa)),
    c_0_5 ).

fof(c_0_19_020,hypothesis,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    c_0_6 ).

fof(c_0_20_021,hypothesis,
    ! [X1] : is_fun_pname_bool(dom_pname_com(X1)),
    c_0_7 ).

fof(c_0_21_022,hypothesis,
    hBOOL(wT_bodies),
    c_0_8 ).

fof(c_0_22_023,hypothesis,
    hBOOL(hoare_165779456gleton),
    c_0_9 ).

fof(c_0_23_024,hypothesis,
    is_pname(pn),
    c_0_10 ).

fof(c_0_24_025,hypothesis,
    is_bool(hoare_165779456gleton),
    c_0_11 ).

fof(c_0_25_026,hypothesis,
    is_bool(wT_bodies),
    c_0_12 ).

fof(c_0_26_027,negated_conjecture,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
    c_0_13 ).

fof(c_0_27_028,hypothesis,
    hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,fa),image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,cOMBB_923936821_pname(the_com,body)),dom_pname_com(body)))),
    c_0_14 ).

fof(c_0_28_029,hypothesis,
    hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),fa)),
    c_0_15 ).

fof(c_0_29_030,hypothesis,
    ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,y)),fa)),
    c_0_16 ).

fof(c_0_30_031,hypothesis,
    ! [X3,X4] : is_bool(hAPP_f971112728l_bool(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_17]) ).

fof(c_0_31_032,hypothesis,
    hBOOL(hAPP_f971112728l_bool(finite364844667_state,fa)),
    c_0_18 ).

fof(c_0_32_033,hypothesis,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    c_0_19 ).

fof(c_0_33_034,hypothesis,
    ! [X2] : is_fun_pname_bool(dom_pname_com(X2)),
    inference(variable_rename,[status(thm)],[c_0_20]) ).

fof(c_0_34_035,hypothesis,
    hBOOL(wT_bodies),
    c_0_21 ).

fof(c_0_35_036,hypothesis,
    hBOOL(hoare_165779456gleton),
    c_0_22 ).

fof(c_0_36_037,hypothesis,
    is_pname(pn),
    c_0_23 ).

fof(c_0_37_038,hypothesis,
    is_bool(hoare_165779456gleton),
    c_0_24 ).

fof(c_0_38_039,hypothesis,
    is_bool(wT_bodies),
    c_0_25 ).

cnf(c_0_39_040,negated_conjecture,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_40_041,hypothesis,
    hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,fa),image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,cOMBB_923936821_pname(the_com,body)),dom_pname_com(body)))),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_41_042,hypothesis,
    hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),fa)),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_42_043,hypothesis,
    ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,y)),fa)),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_43_044,hypothesis,
    is_bool(hAPP_f971112728l_bool(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_44_045,hypothesis,
    hBOOL(hAPP_f971112728l_bool(finite364844667_state,fa)),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_45_046,hypothesis,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_46_047,hypothesis,
    is_fun_pname_bool(dom_pname_com(X1)),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_47_048,hypothesis,
    hBOOL(wT_bodies),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_48_049,hypothesis,
    hBOOL(hoare_165779456gleton),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_49_050,hypothesis,
    is_pname(pn),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_50_051,hypothesis,
    is_bool(hoare_165779456gleton),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_51_052,hypothesis,
    is_bool(wT_bodies),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_52_053,negated_conjecture,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
    c_0_39,
    [final] ).

cnf(c_0_53_054,hypothesis,
    hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,fa),image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,cOMBB_923936821_pname(the_com,body)),dom_pname_com(body)))),
    c_0_40,
    [final] ).

cnf(c_0_54_055,hypothesis,
    hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),fa)),
    c_0_41,
    [final] ).

cnf(c_0_55_056,hypothesis,
    ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,y)),fa)),
    c_0_42,
    [final] ).

cnf(c_0_56_057,hypothesis,
    is_bool(hAPP_f971112728l_bool(X1,X2)),
    c_0_43,
    [final] ).

cnf(c_0_57_058,hypothesis,
    hBOOL(hAPP_f971112728l_bool(finite364844667_state,fa)),
    c_0_44,
    [final] ).

cnf(c_0_58_059,hypothesis,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    c_0_45,
    [final] ).

cnf(c_0_59_060,hypothesis,
    is_fun_pname_bool(dom_pname_com(X1)),
    c_0_46,
    [final] ).

cnf(c_0_60_061,hypothesis,
    hBOOL(wT_bodies),
    c_0_47,
    [final] ).

cnf(c_0_61_062,hypothesis,
    hBOOL(hoare_165779456gleton),
    c_0_48,
    [final] ).

cnf(c_0_62_063,hypothesis,
    is_pname(pn),
    c_0_49,
    [final] ).

cnf(c_0_63_064,hypothesis,
    is_bool(hoare_165779456gleton),
    c_0_50,
    [final] ).

cnf(c_0_64_065,hypothesis,
    is_bool(wT_bodies),
    c_0_51,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_1326,plain,
    hBOOL(wT_bodies),
    file('/export/starexec/sandbox/tmp/iprover_modulo_71f5dd.p',c_0_60) ).

cnf(c_1786,plain,
    hBOOL(wT_bodies),
    inference(copy,[status(esa)],[c_1326]) ).

cnf(c_1808,plain,
    hBOOL(wT_bodies),
    inference(copy,[status(esa)],[c_1786]) ).

cnf(c_1817,plain,
    hBOOL(wT_bodies),
    inference(copy,[status(esa)],[c_1808]) ).

cnf(c_1831,plain,
    hBOOL(wT_bodies),
    inference(copy,[status(esa)],[c_1817]) ).

cnf(c_5740,plain,
    hBOOL(wT_bodies),
    inference(copy,[status(esa)],[c_1831]) ).

cnf(c_288,plain,
    ( hBOOL(wt(X0))
    | hAPP_p799580910on_com(body,X1) != some_com(X0)
    | ~ hBOOL(wT_bodies) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_71f5dd.p',c_0_2248_2) ).

cnf(c_3670,plain,
    ( hBOOL(wt(X0))
    | hAPP_p799580910on_com(body,X1) != some_com(X0)
    | ~ hBOOL(wT_bodies) ),
    inference(copy,[status(esa)],[c_288]) ).

cnf(c_3671,plain,
    ( hBOOL(wt(X0))
    | ~ hBOOL(wT_bodies)
    | hAPP_p799580910on_com(body,X1) != some_com(X0) ),
    inference(rewriting,[status(thm)],[c_3670]) ).

cnf(c_5946,plain,
    ( hBOOL(wt(X0))
    | hAPP_p799580910on_com(body,X1) != some_com(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_5740,c_3671]) ).

cnf(c_5949,plain,
    ( hBOOL(wt(X0))
    | hAPP_p799580910on_com(body,X1) != some_com(X0) ),
    inference(rewriting,[status(thm)],[c_5946]) ).

cnf(c_1324,plain,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    file('/export/starexec/sandbox/tmp/iprover_modulo_71f5dd.p',c_0_58) ).

cnf(c_1782,plain,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    inference(copy,[status(esa)],[c_1324]) ).

cnf(c_1806,plain,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    inference(copy,[status(esa)],[c_1782]) ).

cnf(c_1819,plain,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    inference(copy,[status(esa)],[c_1806]) ).

cnf(c_1830,plain,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    inference(copy,[status(esa)],[c_1819]) ).

cnf(c_5738,plain,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    inference(copy,[status(esa)],[c_1830]) ).

cnf(c_8530,plain,
    hBOOL(wt(y)),
    inference(resolution,[status(thm)],[c_5949,c_5738]) ).

cnf(c_8531,plain,
    hBOOL(wt(y)),
    inference(rewriting,[status(thm)],[c_8530]) ).

cnf(c_774,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool)))
    | ~ hBOOL(wt(X0))
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(hoare_165779456gleton) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_71f5dd.p',c_0_2000_3) ).

cnf(c_4642,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool)))
    | ~ hBOOL(wt(X0))
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(hoare_165779456gleton) ),
    inference(copy,[status(esa)],[c_774]) ).

cnf(c_4643,plain,
    ( ~ hBOOL(wt(X0))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool)))
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(hoare_165779456gleton) ),
    inference(rewriting,[status(thm)],[c_4642]) ).

cnf(c_5947,plain,
    ( ~ hBOOL(wt(X0))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool)))
    | ~ hBOOL(hoare_165779456gleton) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_5740,c_4643]) ).

cnf(c_5948,plain,
    ( ~ hBOOL(wt(X0))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool)))
    | ~ hBOOL(hoare_165779456gleton) ),
    inference(rewriting,[status(thm)],[c_5947]) ).

cnf(c_1327,plain,
    hBOOL(hoare_165779456gleton),
    file('/export/starexec/sandbox/tmp/iprover_modulo_71f5dd.p',c_0_61) ).

cnf(c_1788,plain,
    hBOOL(hoare_165779456gleton),
    inference(copy,[status(esa)],[c_1327]) ).

cnf(c_1809,plain,
    hBOOL(hoare_165779456gleton),
    inference(copy,[status(esa)],[c_1788]) ).

cnf(c_1816,plain,
    hBOOL(hoare_165779456gleton),
    inference(copy,[status(esa)],[c_1809]) ).

cnf(c_1832,plain,
    hBOOL(hoare_165779456gleton),
    inference(copy,[status(esa)],[c_1816]) ).

cnf(c_5742,plain,
    hBOOL(hoare_165779456gleton),
    inference(copy,[status(esa)],[c_1832]) ).

cnf(c_9910,plain,
    ( ~ hBOOL(wt(X0))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5948,c_5742]) ).

cnf(c_9911,plain,
    ( ~ hBOOL(wt(X0))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X0),bot_bo620288102e_bool))) ),
    inference(rewriting,[status(thm)],[c_9910]) ).

cnf(c_1318,negated_conjecture,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
    file('/export/starexec/sandbox/tmp/iprover_modulo_71f5dd.p',c_0_52) ).

cnf(c_1796,negated_conjecture,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
    inference(copy,[status(esa)],[c_1318]) ).

cnf(c_1800,negated_conjecture,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
    inference(copy,[status(esa)],[c_1796]) ).

cnf(c_1825,negated_conjecture,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
    inference(copy,[status(esa)],[c_1800]) ).

cnf(c_1833,negated_conjecture,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
    inference(copy,[status(esa)],[c_1825]) ).

cnf(c_5744,plain,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
    inference(copy,[status(esa)],[c_1833]) ).

cnf(c_719,plain,
    ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),X0))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),X1)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_71f5dd.p',c_0_2020_0) ).

cnf(c_4532,plain,
    ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),X1))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),X0))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),X1)) ),
    inference(copy,[status(esa)],[c_719]) ).

cnf(c_5756,plain,
    ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),X0))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))) ),
    inference(resolution,[status(thm)],[c_5744,c_4532]) ).

cnf(c_5757,plain,
    ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),X0))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))) ),
    inference(rewriting,[status(thm)],[c_5756]) ).

cnf(c_42,plain,
    hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),bot_bo620288102e_bool)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_71f5dd.p',c_0_2260_0) ).

cnf(c_3231,plain,
    hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X0),bot_bo620288102e_bool)),
    inference(copy,[status(esa)],[c_42]) ).

cnf(c_5806,plain,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
    inference(resolution,[status(thm)],[c_5757,c_3231]) ).

cnf(c_5807,plain,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
    inference(rewriting,[status(thm)],[c_5806]) ).

cnf(c_9950,plain,
    ~ hBOOL(wt(y)),
    inference(resolution,[status(thm)],[c_9911,c_5807]) ).

cnf(c_9951,plain,
    ~ hBOOL(wt(y)),
    inference(rewriting,[status(thm)],[c_9950]) ).

cnf(c_15340,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_8531,c_9951]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWW474+1 : TPTP v8.1.0. Released v5.3.0.
% 0.14/0.14  % Command  : iprover_modulo %s %d
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jun  6 03:06:34 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.36  % Running in mono-core mode
% 0.21/0.51  % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.51  % FOF problem with conjecture
% 0.21/0.51  % 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_e6ddb2.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_71f5dd.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_3fd769 | grep -v "SZS"
% 0.21/0.53  
% 0.21/0.53  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.53  
% 0.21/0.53  % 
% 0.21/0.53  % ------  iProver source info 
% 0.21/0.53  
% 0.21/0.53  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.53  % git: non_committed_changes: true
% 0.21/0.53  % git: last_make_outside_of_git: true
% 0.21/0.53  
% 0.21/0.53  % 
% 0.21/0.53  % ------ Input Options
% 0.21/0.53  
% 0.21/0.53  % --out_options                         all
% 0.21/0.53  % --tptp_safe_out                       true
% 0.21/0.53  % --problem_path                        ""
% 0.21/0.53  % --include_path                        ""
% 0.21/0.53  % --clausifier                          .//eprover
% 0.21/0.53  % --clausifier_options                  --tstp-format  
% 0.21/0.53  % --stdin                               false
% 0.21/0.53  % --dbg_backtrace                       false
% 0.21/0.53  % --dbg_dump_prop_clauses               false
% 0.21/0.53  % --dbg_dump_prop_clauses_file          -
% 0.21/0.53  % --dbg_out_stat                        false
% 0.21/0.53  
% 0.21/0.53  % ------ General Options
% 0.21/0.53  
% 0.21/0.53  % --fof                                 false
% 0.21/0.53  % --time_out_real                       150.
% 0.21/0.53  % --time_out_prep_mult                  0.2
% 0.21/0.53  % --time_out_virtual                    -1.
% 0.21/0.53  % --schedule                            none
% 0.21/0.53  % --ground_splitting                    input
% 0.21/0.53  % --splitting_nvd                       16
% 0.21/0.53  % --non_eq_to_eq                        false
% 0.21/0.53  % --prep_gs_sim                         true
% 0.21/0.53  % --prep_unflatten                      false
% 0.21/0.53  % --prep_res_sim                        true
% 0.21/0.53  % --prep_upred                          true
% 0.21/0.53  % --res_sim_input                       true
% 0.21/0.53  % --clause_weak_htbl                    true
% 0.21/0.53  % --gc_record_bc_elim                   false
% 0.21/0.53  % --symbol_type_check                   false
% 0.21/0.53  % --clausify_out                        false
% 0.21/0.53  % --large_theory_mode                   false
% 0.21/0.53  % --prep_sem_filter                     none
% 0.21/0.53  % --prep_sem_filter_out                 false
% 0.21/0.53  % --preprocessed_out                    false
% 0.21/0.53  % --sub_typing                          false
% 0.21/0.53  % --brand_transform                     false
% 0.21/0.53  % --pure_diseq_elim                     true
% 0.21/0.53  % --min_unsat_core                      false
% 0.21/0.53  % --pred_elim                           true
% 0.21/0.53  % --add_important_lit                   false
% 0.21/0.53  % --soft_assumptions                    false
% 0.21/0.53  % --reset_solvers                       false
% 0.21/0.53  % --bc_imp_inh                          []
% 0.21/0.53  % --conj_cone_tolerance                 1.5
% 0.21/0.53  % --prolific_symb_bound                 500
% 0.21/0.53  % --lt_threshold                        2000
% 0.21/0.53  
% 0.21/0.53  % ------ SAT Options
% 0.21/0.53  
% 0.21/0.53  % --sat_mode                            false
% 0.21/0.53  % --sat_fm_restart_options              ""
% 0.21/0.53  % --sat_gr_def                          false
% 0.21/0.53  % --sat_epr_types                       true
% 0.21/0.53  % --sat_non_cyclic_types                false
% 0.21/0.53  % --sat_finite_models                   false
% 0.21/0.53  % --sat_fm_lemmas                       false
% 0.21/0.53  % --sat_fm_prep                         false
% 0.21/0.53  % --sat_fm_uc_incr                      true
% 0.21/0.53  % --sat_out_model                       small
% 0.21/0.53  % --sat_out_clauses                     false
% 0.21/0.53  
% 0.21/0.53  % ------ QBF Options
% 0.21/0.53  
% 0.21/0.53  % --qbf_mode                            false
% 0.21/0.53  % --qbf_elim_univ                       true
% 0.21/0.53  % --qbf_sk_in                           true
% 0.21/0.53  % --qbf_pred_elim                       true
% 0.21/0.53  % --qbf_split                           32
% 0.21/0.53  
% 0.21/0.53  % ------ BMC1 Options
% 0.21/0.53  
% 0.21/0.53  % --bmc1_incremental                    false
% 0.21/0.53  % --bmc1_axioms                         reachable_all
% 0.21/0.53  % --bmc1_min_bound                      0
% 0.21/0.53  % --bmc1_max_bound                      -1
% 0.21/0.53  % --bmc1_max_bound_default              -1
% 0.21/0.53  % --bmc1_symbol_reachability            true
% 0.21/0.53  % --bmc1_property_lemmas                false
% 0.21/0.53  % --bmc1_k_induction                    false
% 0.21/0.53  % --bmc1_non_equiv_states               false
% 0.21/0.53  % --bmc1_deadlock                       false
% 0.21/0.53  % --bmc1_ucm                            false
% 0.21/0.53  % --bmc1_add_unsat_core                 none
% 0.21/0.53  % --bmc1_unsat_core_children            false
% 0.21/0.53  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.53  % --bmc1_out_stat                       full
% 0.21/0.53  % --bmc1_ground_init                    false
% 0.21/0.53  % --bmc1_pre_inst_next_state            false
% 0.21/0.53  % --bmc1_pre_inst_state                 false
% 0.21/0.53  % --bmc1_pre_inst_reach_state           false
% 0.21/0.53  % --bmc1_out_unsat_core                 false
% 0.21/0.53  % --bmc1_aig_witness_out                false
% 0.21/0.53  % --bmc1_verbose                        false
% 0.21/0.53  % --bmc1_dump_clauses_tptp              false
% 0.21/0.55  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.55  % --bmc1_dump_file                      -
% 0.21/0.55  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.55  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.55  % --bmc1_ucm_extend_mode                1
% 0.21/0.55  % --bmc1_ucm_init_mode                  2
% 0.21/0.55  % --bmc1_ucm_cone_mode                  none
% 0.21/0.55  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.55  % --bmc1_ucm_relax_model                4
% 0.21/0.55  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.55  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.55  % --bmc1_ucm_layered_model              none
% 0.21/0.55  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.55  
% 0.21/0.55  % ------ AIG Options
% 0.21/0.55  
% 0.21/0.55  % --aig_mode                            false
% 0.21/0.55  
% 0.21/0.55  % ------ Instantiation Options
% 0.21/0.55  
% 0.21/0.55  % --instantiation_flag                  true
% 0.21/0.55  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.55  % --inst_solver_per_active              750
% 0.21/0.55  % --inst_solver_calls_frac              0.5
% 0.21/0.55  % --inst_passive_queue_type             priority_queues
% 0.21/0.55  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.55  % --inst_passive_queues_freq            [25;2]
% 0.21/0.55  % --inst_dismatching                    true
% 0.21/0.55  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.55  % --inst_prop_sim_given                 true
% 0.21/0.55  % --inst_prop_sim_new                   false
% 0.21/0.55  % --inst_orphan_elimination             true
% 0.21/0.55  % --inst_learning_loop_flag             true
% 0.21/0.55  % --inst_learning_start                 3000
% 0.21/0.55  % --inst_learning_factor                2
% 0.21/0.55  % --inst_start_prop_sim_after_learn     3
% 0.21/0.55  % --inst_sel_renew                      solver
% 0.21/0.55  % --inst_lit_activity_flag              true
% 0.21/0.55  % --inst_out_proof                      true
% 0.21/0.55  
% 0.21/0.55  % ------ Resolution Options
% 0.21/0.55  
% 0.21/0.55  % --resolution_flag                     true
% 0.21/0.55  % --res_lit_sel                         kbo_max
% 0.21/0.55  % --res_to_prop_solver                  none
% 0.21/0.55  % --res_prop_simpl_new                  false
% 0.21/0.55  % --res_prop_simpl_given                false
% 0.21/0.55  % --res_passive_queue_type              priority_queues
% 0.21/0.55  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.55  % --res_passive_queues_freq             [15;5]
% 0.21/0.55  % --res_forward_subs                    full
% 0.21/0.55  % --res_backward_subs                   full
% 0.21/0.55  % --res_forward_subs_resolution         true
% 0.21/0.55  % --res_backward_subs_resolution        true
% 0.21/0.55  % --res_orphan_elimination              false
% 0.21/0.55  % --res_time_limit                      1000.
% 0.21/0.55  % --res_out_proof                       true
% 0.21/0.55  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_e6ddb2.s
% 0.21/0.55  % --modulo                              true
% 0.21/0.55  
% 0.21/0.55  % ------ Combination Options
% 0.21/0.55  
% 0.21/0.55  % --comb_res_mult                       1000
% 0.21/0.55  % --comb_inst_mult                      300
% 0.21/0.55  % ------ 
% 0.21/0.55  
% 0.21/0.55  % ------ Parsing...% 
% 0.21/0.55  
% 0.21/0.55  
% 0.21/0.55  % ------                             Statistics
% 0.21/0.55  
% 0.21/0.55  % ------ General
% 0.21/0.55  
% 0.21/0.55  % num_of_input_clauses:                 378
% 0.21/0.55  % num_of_input_neg_conjectures:         0
% 0.21/0.55  % num_of_splits:                        0
% 0.21/0.55  % num_of_split_atoms:                   0
% 0.21/0.55  % num_of_sem_filtered_clauses:          0
% 0.21/0.55  % num_of_subtypes:                      0
% 0.21/0.55  % monotx_restored_types:                0
% 0.21/0.55  % sat_num_of_epr_types:                 0
% 0.21/0.55  % sat_num_of_non_cyclic_types:          0
% 0.21/0.55  % sat_guarded_non_collapsed_types:      0
% 0.21/0.55  % is_epr:                               0
% 0.21/0.55  % is_horn:                              0
% 0.21/0.55  % has_eq:                               0
% 0.21/0.55  % num_pure_diseq_elim:                  0
% 0.21/0.55  % simp_replaced_by:                     0
% 0.21/0.55  % res_preprocessed:                     0
% 0.21/0.55  % prep_upred:                           0
% 0.21/0.55  % prep_unflattend:                      0
% 0.21/0.55  % pred_elim_cands:                      0
% 0.21/0.55  % pred_elim:                            0
% 0.21/0.55  % pred_elim_cl:                         0
% 0.21/0.55  % pred_elim_cycles:                     0
% 0.21/0.55  % forced_gc_time:                       0
% 0.21/0.55  % gc_basic_clause_elim:                 0
% 0.21/0.55  % parsing_time:                         0.
% 0.21/0.55  % sem_filter_time:                      0.
% 0.21/0.55  % pred_elim_time:                       0.
% 0.21/0.55  % out_proof_time:                       0.
% 0.21/0.55  % monotx_time:                          0.
% 0.21/0.55  % subtype_inf_time:                     0.
% 0.21/0.55  % unif_index_cands_time:                0.
% 0.21/0.55  % uFatal error: exception Failure("Parse error in: /export/starexec/sandbox/tmp/iprover_modulo_71f5dd.p line: 381 near token: '!='")
% 0.21/0.55  nif_index_add_time:                  0.
% 0.21/0.55  % total_time:                           0.035
% 0.21/0.55  % num_of_symbols:                       200
% 0.21/0.55  % num_of_terms:                         1074
% 0.21/0.55  
% 0.21/0.55  % ------ Propositional Solver
% 0.21/0.55  
% 0.21/0.55  % prop_solver_calls:                    0
% 0.21/0.55  % prop_fast_solver_calls:               0
% 0.21/0.55  % prop_num_of_clauses:                  0
% 0.21/0.55  % prop_preprocess_simplified:           0
% 0.21/0.55  % prop_fo_subsumed:                     0
% 0.21/0.55  % prop_solver_time:                     0.
% 0.21/0.55  % prop_fast_solver_time:                0.
% 0.21/0.55  % prop_unsat_core_time:                 0.
% 0.21/0.55  
% 0.21/0.55  % ------ QBF 
% 0.21/0.55  
% 0.21/0.55  % qbf_q_res:                            0
% 0.21/0.55  % qbf_num_tautologies:                  0
% 0.21/0.55  % qbf_prep_cycles:                      0
% 0.21/0.55  
% 0.21/0.55  % ------ BMC1
% 0.21/0.55  
% 0.21/0.55  % bmc1_current_bound:                   -1
% 0.21/0.55  % bmc1_last_solved_bound:               -1
% 0.21/0.55  % bmc1_unsat_core_size:                 -1
% 0.21/0.55  % bmc1_unsat_core_parents_size:         -1
% 0.21/0.55  % bmc1_merge_next_fun:                  0
% 0.21/0.55  % bmc1_unsat_core_clauses_time:         0.
% 0.21/0.55  
% 0.21/0.55  % ------ Instantiation
% 0.21/0.55  
% 0.21/0.55  % inst_num_of_clauses:                  undef
% 0.21/0.55  % inst_num_in_passive:                  undef
% 0.21/0.55  % inst_num_in_active:                   0
% 0.21/0.55  % inst_num_in_unprocessed:              0
% 0.21/0.55  % inst_num_of_loops:                    0
% 0.21/0.55  % inst_num_of_learning_restarts:        0
% 0.21/0.55  % inst_num_moves_active_passive:        0
% 0.21/0.55  % inst_lit_activity:                    0
% 0.21/0.55  % inst_lit_activity_moves:              0
% 0.21/0.55  % inst_num_tautologies:                 0
% 0.21/0.55  % inst_num_prop_implied:                0
% 0.21/0.55  % inst_num_existing_simplified:         0
% 0.21/0.55  % inst_num_eq_res_simplified:           0
% 0.21/0.55  % inst_num_child_elim:                  0
% 0.21/0.55  % inst_num_of_dismatching_blockings:    0
% 0.21/0.55  % inst_num_of_non_proper_insts:         0
% 0.21/0.55  % inst_num_of_duplicates:               0
% 0.21/0.55  % inst_inst_num_from_inst_to_res:       0
% 0.21/0.55  % inst_dismatching_checking_time:       0.
% 0.21/0.55  
% 0.21/0.55  % ------ Resolution
% 0.21/0.55  
% 0.21/0.55  % res_num_of_clauses:                   undef
% 0.21/0.55  % res_num_in_passive:                   undef
% 0.21/0.55  % res_num_in_active:                    0
% 0.21/0.55  % res_num_of_loops:                     0
% 0.21/0.55  % res_forward_subset_subsumed:          0
% 0.21/0.55  % res_backward_subset_subsumed:         0
% 0.21/0.55  % res_forward_subsumed:                 0
% 0.21/0.55  % res_backward_subsumed:                0
% 0.21/0.55  % res_forward_subsumption_resolution:   0
% 0.21/0.55  % res_backward_subsumption_resolution:  0
% 0.21/0.55  % res_clause_to_clause_subsumption:     0
% 0.21/0.55  % res_orphan_elimination:               0
% 0.21/0.55  % res_tautology_del:                    0
% 0.21/0.55  % res_num_eq_res_simplified:            0
% 0.21/0.55  % res_num_sel_changes:                  0
% 0.21/0.55  % res_moves_from_active_to_pass:        0
% 0.21/0.55  
% 0.39/0.55  % Status Unknown
% 0.41/0.69  % Orienting using strategy ClausalAll
% 0.41/0.69  % FOF problem with conjecture
% 0.41/0.69  % 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_e6ddb2.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_71f5dd.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_636862 | grep -v "SZS"
% 0.41/0.72  
% 0.41/0.72  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.41/0.72  
% 0.41/0.72  % 
% 0.41/0.72  % ------  iProver source info 
% 0.41/0.72  
% 0.41/0.72  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.41/0.72  % git: non_committed_changes: true
% 0.41/0.72  % git: last_make_outside_of_git: true
% 0.41/0.72  
% 0.41/0.72  % 
% 0.41/0.72  % ------ Input Options
% 0.41/0.72  
% 0.41/0.72  % --out_options                         all
% 0.41/0.72  % --tptp_safe_out                       true
% 0.41/0.72  % --problem_path                        ""
% 0.41/0.72  % --include_path                        ""
% 0.41/0.72  % --clausifier                          .//eprover
% 0.41/0.72  % --clausifier_options                  --tstp-format  
% 0.41/0.72  % --stdin                               false
% 0.41/0.72  % --dbg_backtrace                       false
% 0.41/0.72  % --dbg_dump_prop_clauses               false
% 0.41/0.72  % --dbg_dump_prop_clauses_file          -
% 0.41/0.72  % --dbg_out_stat                        false
% 0.41/0.72  
% 0.41/0.72  % ------ General Options
% 0.41/0.72  
% 0.41/0.72  % --fof                                 false
% 0.41/0.72  % --time_out_real                       150.
% 0.41/0.72  % --time_out_prep_mult                  0.2
% 0.41/0.72  % --time_out_virtual                    -1.
% 0.41/0.72  % --schedule                            none
% 0.41/0.72  % --ground_splitting                    input
% 0.41/0.72  % --splitting_nvd                       16
% 0.41/0.72  % --non_eq_to_eq                        false
% 0.41/0.72  % --prep_gs_sim                         true
% 0.41/0.72  % --prep_unflatten                      false
% 0.41/0.72  % --prep_res_sim                        true
% 0.41/0.72  % --prep_upred                          true
% 0.41/0.72  % --res_sim_input                       true
% 0.41/0.72  % --clause_weak_htbl                    true
% 0.41/0.72  % --gc_record_bc_elim                   false
% 0.41/0.72  % --symbol_type_check                   false
% 0.41/0.72  % --clausify_out                        false
% 0.41/0.72  % --large_theory_mode                   false
% 0.41/0.72  % --prep_sem_filter                     none
% 0.41/0.72  % --prep_sem_filter_out                 false
% 0.41/0.72  % --preprocessed_out                    false
% 0.41/0.72  % --sub_typing                          false
% 0.41/0.72  % --brand_transform                     false
% 0.41/0.72  % --pure_diseq_elim                     true
% 0.41/0.72  % --min_unsat_core                      false
% 0.41/0.72  % --pred_elim                           true
% 0.41/0.72  % --add_important_lit                   false
% 0.41/0.72  % --soft_assumptions                    false
% 0.41/0.72  % --reset_solvers                       false
% 0.41/0.72  % --bc_imp_inh                          []
% 0.41/0.72  % --conj_cone_tolerance                 1.5
% 0.41/0.72  % --prolific_symb_bound                 500
% 0.41/0.72  % --lt_threshold                        2000
% 0.41/0.72  
% 0.41/0.72  % ------ SAT Options
% 0.41/0.72  
% 0.41/0.72  % --sat_mode                            false
% 0.41/0.72  % --sat_fm_restart_options              ""
% 0.41/0.72  % --sat_gr_def                          false
% 0.41/0.72  % --sat_epr_types                       true
% 0.41/0.72  % --sat_non_cyclic_types                false
% 0.41/0.72  % --sat_finite_models                   false
% 0.41/0.72  % --sat_fm_lemmas                       false
% 0.41/0.72  % --sat_fm_prep                         false
% 0.41/0.72  % --sat_fm_uc_incr                      true
% 0.41/0.72  % --sat_out_model                       small
% 0.41/0.72  % --sat_out_clauses                     false
% 0.41/0.72  
% 0.41/0.72  % ------ QBF Options
% 0.41/0.72  
% 0.41/0.72  % --qbf_mode                            false
% 0.41/0.72  % --qbf_elim_univ                       true
% 0.41/0.72  % --qbf_sk_in                           true
% 0.41/0.72  % --qbf_pred_elim                       true
% 0.41/0.72  % --qbf_split                           32
% 0.41/0.72  
% 0.41/0.72  % ------ BMC1 Options
% 0.41/0.72  
% 0.41/0.72  % --bmc1_incremental                    false
% 0.41/0.72  % --bmc1_axioms                         reachable_all
% 0.41/0.72  % --bmc1_min_bound                      0
% 0.41/0.72  % --bmc1_max_bound                      -1
% 0.41/0.72  % --bmc1_max_bound_default              -1
% 0.41/0.72  % --bmc1_symbol_reachability            true
% 0.41/0.72  % --bmc1_property_lemmas                false
% 0.41/0.72  % --bmc1_k_induction                    false
% 0.41/0.72  % --bmc1_non_equiv_states               false
% 0.41/0.72  % --bmc1_deadlock                       false
% 0.41/0.72  % --bmc1_ucm                            false
% 0.41/0.72  % --bmc1_add_unsat_core                 none
% 0.41/0.72  % --bmc1_unsat_core_children            false
% 0.41/0.72  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.41/0.72  % --bmc1_out_stat                       full
% 0.41/0.72  % --bmc1_ground_init                    false
% 0.41/0.72  % --bmc1_pre_inst_next_state            false
% 0.41/0.72  % --bmc1_pre_inst_state                 false
% 0.41/0.72  % --bmc1_pre_inst_reach_state           false
% 0.41/0.72  % --bmc1_out_unsat_core                 false
% 0.41/0.72  % --bmc1_aig_witness_out                false
% 0.41/0.72  % --bmc1_verbose                        false
% 0.41/0.72  % --bmc1_dump_clauses_tptp              false
% 1.72/1.92  % --bmc1_dump_unsat_core_tptp           false
% 1.72/1.92  % --bmc1_dump_file                      -
% 1.72/1.92  % --bmc1_ucm_expand_uc_limit            128
% 1.72/1.92  % --bmc1_ucm_n_expand_iterations        6
% 1.72/1.92  % --bmc1_ucm_extend_mode                1
% 1.72/1.92  % --bmc1_ucm_init_mode                  2
% 1.72/1.92  % --bmc1_ucm_cone_mode                  none
% 1.72/1.92  % --bmc1_ucm_reduced_relation_type      0
% 1.72/1.92  % --bmc1_ucm_relax_model                4
% 1.72/1.92  % --bmc1_ucm_full_tr_after_sat          true
% 1.72/1.92  % --bmc1_ucm_expand_neg_assumptions     false
% 1.72/1.92  % --bmc1_ucm_layered_model              none
% 1.72/1.92  % --bmc1_ucm_max_lemma_size             10
% 1.72/1.92  
% 1.72/1.92  % ------ AIG Options
% 1.72/1.92  
% 1.72/1.92  % --aig_mode                            false
% 1.72/1.92  
% 1.72/1.92  % ------ Instantiation Options
% 1.72/1.92  
% 1.72/1.92  % --instantiation_flag                  true
% 1.72/1.92  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 1.72/1.92  % --inst_solver_per_active              750
% 1.72/1.92  % --inst_solver_calls_frac              0.5
% 1.72/1.92  % --inst_passive_queue_type             priority_queues
% 1.72/1.92  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 1.72/1.92  % --inst_passive_queues_freq            [25;2]
% 1.72/1.92  % --inst_dismatching                    true
% 1.72/1.92  % --inst_eager_unprocessed_to_passive   true
% 1.72/1.92  % --inst_prop_sim_given                 true
% 1.72/1.92  % --inst_prop_sim_new                   false
% 1.72/1.92  % --inst_orphan_elimination             true
% 1.72/1.92  % --inst_learning_loop_flag             true
% 1.72/1.92  % --inst_learning_start                 3000
% 1.72/1.92  % --inst_learning_factor                2
% 1.72/1.92  % --inst_start_prop_sim_after_learn     3
% 1.72/1.92  % --inst_sel_renew                      solver
% 1.72/1.92  % --inst_lit_activity_flag              true
% 1.72/1.92  % --inst_out_proof                      true
% 1.72/1.92  
% 1.72/1.92  % ------ Resolution Options
% 1.72/1.92  
% 1.72/1.92  % --resolution_flag                     true
% 1.72/1.92  % --res_lit_sel                         kbo_max
% 1.72/1.92  % --res_to_prop_solver                  none
% 1.72/1.92  % --res_prop_simpl_new                  false
% 1.72/1.92  % --res_prop_simpl_given                false
% 1.72/1.92  % --res_passive_queue_type              priority_queues
% 1.72/1.92  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.72/1.92  % --res_passive_queues_freq             [15;5]
% 1.72/1.92  % --res_forward_subs                    full
% 1.72/1.92  % --res_backward_subs                   full
% 1.72/1.92  % --res_forward_subs_resolution         true
% 1.72/1.92  % --res_backward_subs_resolution        true
% 1.72/1.92  % --res_orphan_elimination              false
% 1.72/1.92  % --res_time_limit                      1000.
% 1.72/1.92  % --res_out_proof                       true
% 1.72/1.92  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_e6ddb2.s
% 1.72/1.92  % --modulo                              true
% 1.72/1.92  
% 1.72/1.92  % ------ Combination Options
% 1.72/1.92  
% 1.72/1.92  % --comb_res_mult                       1000
% 1.72/1.92  % --comb_inst_mult                      300
% 1.72/1.92  % ------ 
% 1.72/1.92  
% 1.72/1.92  % ------ Parsing...% successful
% 1.72/1.92  
% 1.72/1.92  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe:1:0s pe:2:0s pe_e  snvd_s sp: 0 0s snvd_e % 
% 1.72/1.92  
% 1.72/1.92  % ------ Proving...
% 1.72/1.92  % ------ Problem Properties 
% 1.72/1.92  
% 1.72/1.92  % 
% 1.72/1.92  % EPR                                   false
% 1.72/1.92  % Horn                                  false
% 1.72/1.92  % Has equality                          true
% 1.72/1.92  
% 1.72/1.92  % % ------ Input Options Time Limit: Unbounded
% 1.72/1.92  
% 1.72/1.92  
% 1.72/1.92  Compiling...
% 1.72/1.92  Loading plugin: done.
% 1.72/1.92  Compiling...
% 1.72/1.92  Loading plugin: done.
% 1.72/1.92  Compiling...
% 1.72/1.92  Loading plugin: done.
% 1.72/1.92  Compiling...
% 1.72/1.92  Loading plugin: done.
% 1.72/1.92  Compiling...
% 1.72/1.92  Loading plugin: done.
% 1.72/1.92  Compiling...
% 1.72/1.92  Loading plugin: done.
% 1.72/1.92  Compiling...
% 1.72/1.92  Loading plugin: done.
% 1.72/1.92  % % ------ Current options:
% 1.72/1.92  
% 1.72/1.92  % ------ Input Options
% 1.72/1.92  
% 1.72/1.92  % --out_options                         all
% 1.72/1.92  % --tptp_safe_out                       true
% 1.72/1.92  % --problem_path                        ""
% 1.72/1.92  % --include_path                        ""
% 1.72/1.92  % --clausifier                          .//eprover
% 1.72/1.92  % --clausifier_options                  --tstp-format  
% 1.72/1.92  % --stdin                               false
% 1.72/1.92  % --dbg_backtrace                       false
% 1.72/1.92  % --dbg_dump_prop_clauses               false
% 1.72/1.92  % --dbg_dump_prop_clauses_file          -
% 1.72/1.92  % --dbg_out_stat                        false
% 1.72/1.92  
% 1.72/1.92  % ------ General Options
% 1.72/1.92  
% 1.72/1.92  % --fof                                 false
% 1.72/1.92  % --time_out_real                       150.
% 1.72/1.92  % --time_out_prep_mult                  0.2
% 1.72/1.92  % --time_out_virtual                    -1.
% 1.72/1.92  % --schedule                            none
% 1.72/1.92  % --ground_splitting                    input
% 1.72/1.92  % --splitting_nvd                       16
% 1.72/1.92  % --non_eq_to_eq                        false
% 1.72/1.92  % --prep_gs_sim                         true
% 1.72/1.92  % --prep_unflatten                      false
% 1.72/1.92  % --prep_res_sim                        true
% 1.72/1.92  % --prep_upred                          true
% 1.72/1.92  % --res_sim_input                       true
% 1.72/1.92  % --clause_weak_htbl                    true
% 1.72/1.92  % --gc_record_bc_elim                   false
% 1.72/1.92  % --symbol_type_check                   false
% 1.72/1.92  % --clausify_out                        false
% 1.72/1.92  % --large_theory_mode                   false
% 1.72/1.92  % --prep_sem_filter                     none
% 1.72/1.92  % --prep_sem_filter_out                 false
% 1.72/1.92  % --preprocessed_out                    false
% 1.72/1.92  % --sub_typing                          false
% 1.72/1.92  % --brand_transform                     false
% 1.72/1.92  % --pure_diseq_elim                     true
% 1.72/1.92  % --min_unsat_core                      false
% 1.72/1.92  % --pred_elim                           true
% 1.72/1.92  % --add_important_lit                   false
% 1.72/1.92  % --soft_assumptions                    false
% 1.72/1.92  % --reset_solvers                       false
% 1.72/1.92  % --bc_imp_inh                          []
% 1.72/1.92  % --conj_cone_tolerance                 1.5
% 1.72/1.92  % --prolific_symb_bound                 500
% 1.72/1.92  % --lt_threshold                        2000
% 1.72/1.92  
% 1.72/1.92  % ------ SAT Options
% 1.72/1.92  
% 1.72/1.92  % --sat_mode                            false
% 1.72/1.92  % --sat_fm_restart_options              ""
% 1.72/1.92  % --sat_gr_def                          false
% 1.72/1.92  % --sat_epr_types                       true
% 1.72/1.92  % --sat_non_cyclic_types                false
% 1.72/1.92  % --sat_finite_models                   false
% 1.72/1.92  % --sat_fm_lemmas                       false
% 1.72/1.92  % --sat_fm_prep                         false
% 1.72/1.92  % --sat_fm_uc_incr                      true
% 1.72/1.92  % --sat_out_model                       small
% 1.72/1.92  % --sat_out_clauses                     false
% 1.72/1.92  
% 1.72/1.92  % ------ QBF Options
% 1.72/1.92  
% 1.72/1.92  % --qbf_mode                            false
% 1.72/1.92  % --qbf_elim_univ                       true
% 1.72/1.92  % --qbf_sk_in                           true
% 1.72/1.92  % --qbf_pred_elim                       true
% 1.72/1.92  % --qbf_split                           32
% 1.72/1.92  
% 1.72/1.92  % ------ BMC1 Options
% 1.72/1.92  
% 1.72/1.92  % --bmc1_incremental                    false
% 1.72/1.92  % --bmc1_axioms                         reachable_all
% 1.72/1.92  % --bmc1_min_bound                      0
% 1.72/1.92  % --bmc1_max_bound                      -1
% 1.72/1.92  % --bmc1_max_bound_default              -1
% 1.72/1.92  % --bmc1_symbol_reachability            true
% 1.72/1.92  % --bmc1_property_lemmas                false
% 1.72/1.92  % --bmc1_k_induction                    false
% 1.72/1.92  % --bmc1_non_equiv_states               false
% 1.72/1.92  % --bmc1_deadlock                       false
% 1.72/1.92  % --bmc1_ucm                            false
% 1.72/1.92  % --bmc1_add_unsat_core                 none
% 1.72/1.92  % --bmc1_unsat_core_children            false
% 1.72/1.92  % --bmc1_unsat_core_extrapolate_axioms  false
% 1.72/1.92  % --bmc1_out_stat                       full
% 1.72/1.92  % --bmc1_ground_init                    false
% 1.72/1.92  % --bmc1_pre_inst_next_state            false
% 1.72/1.92  % --bmc1_pre_inst_state                 false
% 1.72/1.92  % --bmc1_pre_inst_reach_state           false
% 1.72/1.92  % --bmc1_out_unsat_core                 false
% 1.72/1.92  % --bmc1_aig_witness_out                false
% 1.72/1.92  % --bmc1_verbose                        false
% 1.72/1.92  % --bmc1_dump_clauses_tptp              false
% 1.72/1.92  % --bmc1_dump_unsat_core_tptp           false
% 1.72/1.92  % --bmc1_dump_file                      -
% 1.72/1.92  % --bmc1_ucm_expand_uc_limit            128
% 1.72/1.92  % --bmc1_ucm_n_expand_iterations        6
% 1.72/1.92  % --bmc1_ucm_extend_mode                1
% 1.72/1.92  % --bmc1_ucm_init_mode                  2
% 1.72/1.92  % --bmc1_ucm_cone_mode                  none
% 1.72/1.92  % --bmc1_ucm_reduced_relation_type      0
% 1.72/1.92  % --bmc1_ucm_relax_model                4
% 1.72/1.92  % --bmc1_ucm_full_tr_after_sat          true
% 1.72/1.92  % --bmc1_ucm_expand_neg_assumptions     false
% 1.72/1.92  % --bmc1_ucm_layered_model              none
% 1.72/1.92  % --bmc1_ucm_max_lemma_size             10
% 1.72/1.92  
% 1.72/1.92  % ------ AIG Options
% 1.72/1.92  
% 1.72/1.92  % --aig_mode                            false
% 1.72/1.92  
% 1.72/1.92  % ------ Instantiation Options
% 1.72/1.92  
% 1.72/1.92  % --instantiation_flag                  true
% 1.72/1.92  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 1.72/1.92  % --inst_solver_per_active              750
% 1.72/1.92  % --inst_solver_calls_frac              0.5
% 1.72/1.92  % --inst_passive_queue_type             priority_queues
% 2.03/2.29  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 2.03/2.29  % --inst_passive_queues_freq            [25;2]
% 2.03/2.29  % --inst_dismatching                    true
% 2.03/2.29  % --inst_eager_unprocessed_to_passive   true
% 2.03/2.29  % --inst_prop_sim_given                 true
% 2.03/2.29  % --inst_prop_sim_new                   false
% 2.03/2.29  % --inst_orphan_elimination             true
% 2.03/2.29  % --inst_learning_loop_flag             true
% 2.03/2.29  % --inst_learning_start                 3000
% 2.03/2.29  % --inst_learning_factor                2
% 2.03/2.29  % --inst_start_prop_sim_after_learn     3
% 2.03/2.29  % --inst_sel_renew                      solver
% 2.03/2.29  % --inst_lit_activity_flag              true
% 2.03/2.29  % --inst_out_proof                      true
% 2.03/2.29  
% 2.03/2.29  % ------ Resolution Options
% 2.03/2.29  
% 2.03/2.29  % --resolution_flag                     true
% 2.03/2.29  % --res_lit_sel                         kbo_max
% 2.03/2.29  % --res_to_prop_solver                  none
% 2.03/2.29  % --res_prop_simpl_new                  false
% 2.03/2.29  % --res_prop_simpl_given                false
% 2.03/2.29  % --res_passive_queue_type              priority_queues
% 2.03/2.29  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.03/2.29  % --res_passive_queues_freq             [15;5]
% 2.03/2.29  % --res_forward_subs                    full
% 2.03/2.29  % --res_backward_subs                   full
% 2.03/2.29  % --res_forward_subs_resolution         true
% 2.03/2.29  % --res_backward_subs_resolution        true
% 2.03/2.29  % --res_orphan_elimination              false
% 2.03/2.29  % --res_time_limit                      1000.
% 2.03/2.29  % --res_out_proof                       true
% 2.03/2.29  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_e6ddb2.s
% 2.03/2.29  % --modulo                              true
% 2.03/2.29  
% 2.03/2.29  % ------ Combination Options
% 2.03/2.29  
% 2.03/2.29  % --comb_res_mult                       1000
% 2.03/2.29  % --comb_inst_mult                      300
% 2.03/2.29  % ------ 
% 2.03/2.29  
% 2.03/2.29  
% 2.03/2.29  
% 2.03/2.29  % ------ Proving...
% 2.03/2.29  % 
% 2.03/2.29  
% 2.03/2.29  
% 2.03/2.29  %  Resolution empty clause
% 2.03/2.29  
% 2.03/2.29  % ------                             Statistics
% 2.03/2.29  
% 2.03/2.29  % ------ General
% 2.03/2.29  
% 2.03/2.29  % num_of_input_clauses:                 1331
% 2.03/2.29  % num_of_input_neg_conjectures:         1
% 2.03/2.29  % num_of_splits:                        0
% 2.03/2.29  % num_of_split_atoms:                   0
% 2.03/2.29  % num_of_sem_filtered_clauses:          0
% 2.03/2.29  % num_of_subtypes:                      0
% 2.03/2.29  % monotx_restored_types:                0
% 2.03/2.29  % sat_num_of_epr_types:                 0
% 2.03/2.29  % sat_num_of_non_cyclic_types:          0
% 2.03/2.29  % sat_guarded_non_collapsed_types:      0
% 2.03/2.29  % is_epr:                               0
% 2.03/2.29  % is_horn:                              0
% 2.03/2.29  % has_eq:                               1
% 2.03/2.29  % num_pure_diseq_elim:                  0
% 2.03/2.29  % simp_replaced_by:                     0
% 2.03/2.29  % res_preprocessed:                     14
% 2.03/2.29  % prep_upred:                           0
% 2.03/2.29  % prep_unflattend:                      0
% 2.03/2.29  % pred_elim_cands:                      3
% 2.03/2.29  % pred_elim:                            3
% 2.03/2.29  % pred_elim_cl:                         5
% 2.03/2.29  % pred_elim_cycles:                     4
% 2.03/2.29  % forced_gc_time:                       0
% 2.03/2.29  % gc_basic_clause_elim:                 0
% 2.03/2.29  % parsing_time:                         0.063
% 2.03/2.29  % sem_filter_time:                      0.
% 2.03/2.29  % pred_elim_time:                       0.
% 2.03/2.29  % out_proof_time:                       0.001
% 2.03/2.29  % monotx_time:                          0.
% 2.03/2.29  % subtype_inf_time:                     0.
% 2.03/2.29  % unif_index_cands_time:                0.001
% 2.03/2.29  % unif_index_add_time:                  0.002
% 2.03/2.29  % total_time:                           1.591
% 2.03/2.29  % num_of_symbols:                       249
% 2.03/2.29  % num_of_terms:                         12396
% 2.03/2.29  
% 2.03/2.29  % ------ Propositional Solver
% 2.03/2.29  
% 2.03/2.29  % prop_solver_calls:                    1
% 2.03/2.29  % prop_fast_solver_calls:               27
% 2.03/2.29  % prop_num_of_clauses:                  1214
% 2.03/2.29  % prop_preprocess_simplified:           4117
% 2.03/2.29  % prop_fo_subsumed:                     0
% 2.03/2.29  % prop_solver_time:                     0.
% 2.03/2.29  % prop_fast_solver_time:                0.
% 2.03/2.29  % prop_unsat_core_time:                 0.
% 2.03/2.29  
% 2.03/2.29  % ------ QBF 
% 2.03/2.29  
% 2.03/2.29  % qbf_q_res:                            0
% 2.03/2.29  % qbf_num_tautologies:                  0
% 2.03/2.29  % qbf_prep_cycles:                      0
% 2.03/2.29  
% 2.03/2.29  % ------ BMC1
% 2.03/2.29  
% 2.03/2.29  % bmc1_current_bound:                   -1
% 2.03/2.29  % bmc1_last_solved_bound:               -1
% 2.03/2.29  % bmc1_unsat_core_size:                 -1
% 2.03/2.29  % bmc1_unsat_core_parents_size:         -1
% 2.03/2.29  % bmc1_merge_next_fun:                  0
% 2.11/2.29  % bmc1_unsat_core_clauses_time:         0.
% 2.11/2.29  
% 2.11/2.29  % ------ Instantiation
% 2.11/2.29  
% 2.11/2.29  % inst_num_of_clauses:                  1239
% 2.11/2.29  % inst_num_in_passive:                  0
% 2.11/2.29  % inst_num_in_active:                   0
% 2.11/2.29  % inst_num_in_unprocessed:              1326
% 2.11/2.29  % inst_num_of_loops:                    0
% 2.11/2.29  % inst_num_of_learning_restarts:        0
% 2.11/2.29  % inst_num_moves_active_passive:        0
% 2.11/2.29  % inst_lit_activity:                    0
% 2.11/2.29  % inst_lit_activity_moves:              0
% 2.11/2.29  % inst_num_tautologies:                 0
% 2.11/2.29  % inst_num_prop_implied:                0
% 2.11/2.29  % inst_num_existing_simplified:         0
% 2.11/2.29  % inst_num_eq_res_simplified:           0
% 2.11/2.29  % inst_num_child_elim:                  0
% 2.11/2.29  % inst_num_of_dismatching_blockings:    0
% 2.11/2.29  % inst_num_of_non_proper_insts:         0
% 2.11/2.29  % inst_num_of_duplicates:               0
% 2.11/2.29  % inst_inst_num_from_inst_to_res:       0
% 2.11/2.29  % inst_dismatching_checking_time:       0.
% 2.11/2.29  
% 2.11/2.29  % ------ Resolution
% 2.11/2.29  
% 2.11/2.29  % res_num_of_clauses:                   4194
% 2.11/2.29  % res_num_in_passive:                   2464
% 2.11/2.29  % res_num_in_active:                    870
% 2.11/2.29  % res_num_of_loops:                     476
% 2.11/2.29  % res_forward_subset_subsumed:          1849
% 2.11/2.29  % res_backward_subset_subsumed:         2
% 2.11/2.29  % res_forward_subsumed:                 122
% 2.11/2.29  % res_backward_subsumed:                1
% 2.11/2.29  % res_forward_subsumption_resolution:   6
% 2.11/2.29  % res_backward_subsumption_resolution:  5
% 2.11/2.29  % res_clause_to_clause_subsumption:     1067
% 2.11/2.29  % res_orphan_elimination:               0
% 2.11/2.29  % res_tautology_del:                    73
% 2.11/2.29  % res_num_eq_res_simplified:            2
% 2.11/2.29  % res_num_sel_changes:                  0
% 2.11/2.29  % res_moves_from_active_to_pass:        0
% 2.11/2.29  
% 2.11/2.29  % Status Unsatisfiable
% 2.11/2.29  % SZS status Theorem
% 2.11/2.29  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------