LEO-II---2.3.1.THM-CRf.s

%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : ITP239^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 10:25:08 AM UTC 2026

% Result   : Theorem 89.03s 18.08s
% Output   : CNFRefutation 89.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :   88
% Syntax   : Number of formulae    : 1086 ( 441 unt;   0 typ;   0 def)
%            Number of atoms       : 8217 (3744 equ;   0 cnn)
%            Maximal formula atoms :    5 (   7 avg)
%            Number of connectives : 10555 (1355   ~;1939   |;   3   &;7198   @)
%                                         (   0 <=>;  60  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :   89 (  88 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  914 ( 911 usr;  64 con; 0-8 aty)
%            Number of variables   : 1509 (  37   ^;1472   !;   0   ?;1509   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_char,type,
    char: $tType ).

thf(tp_code_integer,type,
    code_integer: $tType ).

thf(tp_complex,type,
    complex: $tType ).

thf(tp_extended_enat,type,
    extended_enat: $tType ).

thf(tp_filter_nat,type,
    filter_nat: $tType ).

thf(tp_filter_real,type,
    filter_real: $tType ).

thf(tp_int,type,
    int: $tType ).

thf(tp_list_Code_integer,type,
    list_Code_integer: $tType ).

thf(tp_list_P3126845725202233233VEBT_o,type,
    list_P3126845725202233233VEBT_o: $tType ).

thf(tp_list_P3744719386663036955um_num,type,
    list_P3744719386663036955um_num: $tType ).

thf(tp_list_P3795440434834930179_o_int,type,
    list_P3795440434834930179_o_int: $tType ).

thf(tp_list_P4002435161011370285od_o_o,type,
    list_P4002435161011370285od_o_o: $tType ).

thf(tp_list_P4547456442757143711BT_int,type,
    list_P4547456442757143711BT_int: $tType ).

thf(tp_list_P5647936690300460905T_VEBT,type,
    list_P5647936690300460905T_VEBT: $tType ).

thf(tp_list_P6285523579766656935_o_nat,type,
    list_P6285523579766656935_o_nat: $tType ).

thf(tp_list_P7037539587688870467BT_nat,type,
    list_P7037539587688870467BT_nat: $tType ).

thf(tp_list_P7333126701944960589_nat_o,type,
    list_P7333126701944960589_nat_o: $tType ).

thf(tp_list_P7413028617227757229T_VEBT,type,
    list_P7413028617227757229T_VEBT: $tType ).

thf(tp_list_P7495141550334521929T_VEBT,type,
    list_P7495141550334521929T_VEBT: $tType ).

thf(tp_list_P8526636022914148096eger_o,type,
    list_P8526636022914148096eger_o: $tType ).

thf(tp_list_VEBT_VEBT,type,
    list_VEBT_VEBT: $tType ).

thf(tp_list_complex,type,
    list_complex: $tType ).

thf(tp_list_int,type,
    list_int: $tType ).

thf(tp_list_list_nat,type,
    list_list_nat: $tType ).

thf(tp_list_nat,type,
    list_nat: $tType ).

thf(tp_list_num,type,
    list_num: $tType ).

thf(tp_list_o,type,
    list_o: $tType ).

thf(tp_list_real,type,
    list_real: $tType ).

thf(tp_nat,type,
    nat: $tType ).

thf(tp_num,type,
    num: $tType ).

thf(tp_option4927543243414619207at_nat,type,
    option4927543243414619207at_nat: $tType ).

thf(tp_option_nat,type,
    option_nat: $tType ).

thf(tp_option_num,type,
    option_num: $tType ).

thf(tp_produc1193250871479095198on_num,type,
    produc1193250871479095198on_num: $tType ).

thf(tp_produc2233624965454879586on_nat,type,
    produc2233624965454879586on_nat: $tType ).

thf(tp_produc2504756804600209347T_VEBT,type,
    produc2504756804600209347T_VEBT: $tType ).

thf(tp_produc2963631642982155120at_num,type,
    produc2963631642982155120at_num: $tType ).

thf(tp_produc334124729049499915VEBT_o,type,
    produc334124729049499915VEBT_o: $tType ).

thf(tp_produc3368934014287244435at_num,type,
    produc3368934014287244435at_num: $tType ).

thf(tp_produc3447558737645232053on_num,type,
    produc3447558737645232053on_num: $tType ).

thf(tp_produc4471711990508489141at_nat,type,
    produc4471711990508489141at_nat: $tType ).

thf(tp_produc4894624898956917775BT_int,type,
    produc4894624898956917775BT_int: $tType ).

thf(tp_produc4953844613479565601on_nat,type,
    produc4953844613479565601on_nat: $tType ).

thf(tp_produc5491161045314408544at_nat,type,
    produc5491161045314408544at_nat: $tType ).

thf(tp_produc5542196010084753463at_nat,type,
    produc5542196010084753463at_nat: $tType ).

thf(tp_produc6121120109295599847at_nat,type,
    produc6121120109295599847at_nat: $tType ).

thf(tp_produc6271795597528267376eger_o,type,
    produc6271795597528267376eger_o: $tType ).

thf(tp_produc7036089656553540234on_num,type,
    produc7036089656553540234on_num: $tType ).

thf(tp_produc7248412053542808358at_nat,type,
    produc7248412053542808358at_nat: $tType ).

thf(tp_produc8243902056947475879T_VEBT,type,
    produc8243902056947475879T_VEBT: $tType ).

thf(tp_produc8306885398267862888on_nat,type,
    produc8306885398267862888on_nat: $tType ).

thf(tp_produc8923325533196201883nteger,type,
    produc8923325533196201883nteger: $tType ).

thf(tp_produc9072475918466114483BT_nat,type,
    produc9072475918466114483BT_nat: $tType ).

thf(tp_product_prod_int_int,type,
    product_prod_int_int: $tType ).

thf(tp_product_prod_nat_nat,type,
    product_prod_nat_nat: $tType ).

thf(tp_product_prod_nat_num,type,
    product_prod_nat_num: $tType ).

thf(tp_product_prod_num_num,type,
    product_prod_num_num: $tType ).

thf(tp_product_prod_o_int,type,
    product_prod_o_int: $tType ).

thf(tp_product_prod_o_nat,type,
    product_prod_o_nat: $tType ).

thf(tp_product_prod_o_o,type,
    product_prod_o_o: $tType ).

thf(tp_rat,type,
    rat: $tType ).

thf(tp_real,type,
    real: $tType ).

thf(tp_set_Code_integer,type,
    set_Code_integer: $tType ).

thf(tp_set_Extended_enat,type,
    set_Extended_enat: $tType ).

thf(tp_set_Pr1261947904930325089at_nat,type,
    set_Pr1261947904930325089at_nat: $tType ).

thf(tp_set_Pr448751882837621926eger_o,type,
    set_Pr448751882837621926eger_o: $tType ).

thf(tp_set_Pr6200539531224447659at_num,type,
    set_Pr6200539531224447659at_num: $tType ).

thf(tp_set_Pr8218934625190621173um_num,type,
    set_Pr8218934625190621173um_num: $tType ).

thf(tp_set_Pr958786334691620121nt_int,type,
    set_Pr958786334691620121nt_int: $tType ).

thf(tp_set_Product_unit,type,
    set_Product_unit: $tType ).

thf(tp_set_VEBT_VEBT,type,
    set_VEBT_VEBT: $tType ).

thf(tp_set_char,type,
    set_char: $tType ).

thf(tp_set_complex,type,
    set_complex: $tType ).

thf(tp_set_int,type,
    set_int: $tType ).

thf(tp_set_list_VEBT_VEBT,type,
    set_list_VEBT_VEBT: $tType ).

thf(tp_set_list_complex,type,
    set_list_complex: $tType ).

thf(tp_set_list_int,type,
    set_list_int: $tType ).

thf(tp_set_list_nat,type,
    set_list_nat: $tType ).

thf(tp_set_list_o,type,
    set_list_o: $tType ).

thf(tp_set_nat,type,
    set_nat: $tType ).

thf(tp_set_num,type,
    set_num: $tType ).

thf(tp_set_o,type,
    set_o: $tType ).

thf(tp_set_rat,type,
    set_rat: $tType ).

thf(tp_set_real,type,
    set_real: $tType ).

thf(tp_set_set_complex,type,
    set_set_complex: $tType ).

thf(tp_set_set_int,type,
    set_set_int: $tType ).

thf(tp_set_set_nat,type,
    set_set_nat: $tType ).

thf(tp_vEBT_VEBT,type,
    vEBT_VEBT: $tType ).

thf(tp_abs_Integ,type,
    abs_Integ: product_prod_nat_nat > int ).

thf(tp_abs_abs_Code_integer,type,
    abs_abs_Code_integer: code_integer > code_integer ).

thf(tp_abs_abs_complex,type,
    abs_abs_complex: complex > complex ).

thf(tp_abs_abs_int,type,
    abs_abs_int: int > int ).

thf(tp_abs_abs_rat,type,
    abs_abs_rat: rat > rat ).

thf(tp_abs_abs_real,type,
    abs_abs_real: real > real ).

thf(tp_accp_P1096762738010456898nt_int,type,
    accp_P1096762738010456898nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(tp_accp_P2887432264394892906BT_nat,type,
    accp_P2887432264394892906BT_nat: ( produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ) > produc9072475918466114483BT_nat > $o ).

thf(tp_accp_P3113834385874906142um_num,type,
    accp_P3113834385874906142um_num: ( product_prod_num_num > product_prod_num_num > $o ) > product_prod_num_num > $o ).

thf(tp_accp_P3267385326087170368at_nat,type,
    accp_P3267385326087170368at_nat: ( produc5542196010084753463at_nat > produc5542196010084753463at_nat > $o ) > produc5542196010084753463at_nat > $o ).

thf(tp_accp_P4275260045618599050at_nat,type,
    accp_P4275260045618599050at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(tp_accp_P4916641582247091100at_num,type,
    accp_P4916641582247091100at_num: ( produc3368934014287244435at_num > produc3368934014287244435at_num > $o ) > produc3368934014287244435at_num > $o ).

thf(tp_accp_P5496254298877145759on_nat,type,
    accp_P5496254298877145759on_nat: ( produc8306885398267862888on_nat > produc8306885398267862888on_nat > $o ) > produc8306885398267862888on_nat > $o ).

thf(tp_accp_P6019419558468335806at_nat,type,
    accp_P6019419558468335806at_nat: ( produc4471711990508489141at_nat > produc4471711990508489141at_nat > $o ) > produc4471711990508489141at_nat > $o ).

thf(tp_accp_P7605991808943153877on_num,type,
    accp_P7605991808943153877on_num: ( produc1193250871479095198on_num > produc1193250871479095198on_num > $o ) > produc1193250871479095198on_num > $o ).

thf(tp_accp_VEBT_VEBT,type,
    accp_VEBT_VEBT: ( vEBT_VEBT > vEBT_VEBT > $o ) > vEBT_VEBT > $o ).

thf(tp_accp_list_nat,type,
    accp_list_nat: ( list_nat > list_nat > $o ) > list_nat > $o ).

thf(tp_accp_nat,type,
    accp_nat: ( nat > nat > $o ) > nat > $o ).

thf(tp_adjust_div,type,
    adjust_div: product_prod_int_int > int ).

thf(tp_adjust_mod,type,
    adjust_mod: int > int > int ).

thf(tp_append_int,type,
    append_int: list_int > list_int > list_int ).

thf(tp_append_nat,type,
    append_nat: list_nat > list_nat > list_nat ).

thf(tp_arccos,type,
    arccos: real > real ).

thf(tp_archim3151403230148437115or_rat,type,
    archim3151403230148437115or_rat: rat > int ).

thf(tp_archim6058952711729229775r_real,type,
    archim6058952711729229775r_real: real > int ).

thf(tp_archim7778729529865785530nd_rat,type,
    archim7778729529865785530nd_rat: rat > int ).

thf(tp_archim7802044766580827645g_real,type,
    archim7802044766580827645g_real: real > int ).

thf(tp_archim8280529875227126926d_real,type,
    archim8280529875227126926d_real: real > int ).

thf(tp_arcosh_real,type,
    arcosh_real: real > real ).

thf(tp_arcsin,type,
    arcsin: real > real ).

thf(tp_arctan,type,
    arctan: real > real ).

thf(tp_arg,type,
    arg: complex > real ).

thf(tp_arsinh_real,type,
    arsinh_real: real > real ).

thf(tp_artanh_real,type,
    artanh_real: real > real ).

thf(tp_ascii_of,type,
    ascii_of: char > char ).

thf(tp_at_bot_real,type,
    at_bot_real: filter_real ).

thf(tp_at_infinity_real,type,
    at_infinity_real: filter_real ).

thf(tp_at_top_nat,type,
    at_top_nat: filter_nat ).

thf(tp_at_top_real,type,
    at_top_real: filter_real ).

thf(tp_bezw,type,
    bezw: nat > nat > product_prod_int_int ).

thf(tp_bezw_rel,type,
    bezw_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(tp_bfun_nat_real,type,
    bfun_nat_real: ( nat > real ) > filter_nat > $o ).

thf(tp_bij_be1856998921033663316omplex,type,
    bij_be1856998921033663316omplex: ( complex > complex ) > set_complex > set_complex > $o ).

thf(tp_bij_betw_nat_complex,type,
    bij_betw_nat_complex: ( nat > complex ) > set_nat > set_complex > $o ).

thf(tp_bij_betw_nat_nat,type,
    bij_betw_nat_nat: ( nat > nat ) > set_nat > set_nat > $o ).

thf(tp_binomial,type,
    binomial: nat > nat > nat ).

thf(tp_bit0,type,
    bit0: num > num ).

thf(tp_bit1,type,
    bit1: num > num ).

thf(tp_bitM,type,
    bitM: num > num ).

thf(tp_bit_and_int_rel,type,
    bit_and_int_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(tp_bit_and_not_num,type,
    bit_and_not_num: num > num > option_num ).

thf(tp_bit_and_not_num_rel,type,
    bit_and_not_num_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(tp_bit_concat_bit,type,
    bit_concat_bit: nat > int > int > int ).

thf(tp_bit_or3848514188828904588eg_rel,type,
    bit_or3848514188828904588eg_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(tp_bit_or_not_num_neg,type,
    bit_or_not_num_neg: num > num > num ).

thf(tp_bit_ri631733984087533419it_int,type,
    bit_ri631733984087533419it_int: nat > int > int ).

thf(tp_bit_ri6519982836138164636nteger,type,
    bit_ri6519982836138164636nteger: nat > code_integer > code_integer ).

thf(tp_bit_ri7919022796975470100ot_int,type,
    bit_ri7919022796975470100ot_int: int > int ).

thf(tp_bit_se1146084159140164899it_int,type,
    bit_se1146084159140164899it_int: int > nat > $o ).

thf(tp_bit_se1148574629649215175it_nat,type,
    bit_se1148574629649215175it_nat: nat > nat > $o ).

thf(tp_bit_se1345352211410354436nteger,type,
    bit_se1345352211410354436nteger: nat > code_integer > code_integer ).

thf(tp_bit_se1409905431419307370or_int,type,
    bit_se1409905431419307370or_int: int > int > int ).

thf(tp_bit_se1412395901928357646or_nat,type,
    bit_se1412395901928357646or_nat: nat > nat > nat ).

thf(tp_bit_se2000444600071755411sk_int,type,
    bit_se2000444600071755411sk_int: nat > int ).

thf(tp_bit_se2002935070580805687sk_nat,type,
    bit_se2002935070580805687sk_nat: nat > nat ).

thf(tp_bit_se2159334234014336723it_int,type,
    bit_se2159334234014336723it_int: nat > int > int ).

thf(tp_bit_se2161824704523386999it_nat,type,
    bit_se2161824704523386999it_nat: nat > nat > nat ).

thf(tp_bit_se2793503036327961859nteger,type,
    bit_se2793503036327961859nteger: nat > code_integer > code_integer ).

thf(tp_bit_se2923211474154528505it_int,type,
    bit_se2923211474154528505it_int: nat > int > int ).

thf(tp_bit_se2925701944663578781it_nat,type,
    bit_se2925701944663578781it_nat: nat > nat > nat ).

thf(tp_bit_se4203085406695923979it_int,type,
    bit_se4203085406695923979it_int: nat > int > int ).

thf(tp_bit_se4205575877204974255it_nat,type,
    bit_se4205575877204974255it_nat: nat > nat > nat ).

thf(tp_bit_se545348938243370406it_int,type,
    bit_se545348938243370406it_int: nat > int > int ).

thf(tp_bit_se547839408752420682it_nat,type,
    bit_se547839408752420682it_nat: nat > nat > nat ).

thf(tp_bit_se6526347334894502574or_int,type,
    bit_se6526347334894502574or_int: int > int > int ).

thf(tp_bit_se6528837805403552850or_nat,type,
    bit_se6528837805403552850or_nat: nat > nat > nat ).

thf(tp_bit_se725231765392027082nd_int,type,
    bit_se725231765392027082nd_int: int > int > int ).

thf(tp_bit_se727722235901077358nd_nat,type,
    bit_se727722235901077358nd_nat: nat > nat > nat ).

thf(tp_bit_se7879613467334960850it_int,type,
    bit_se7879613467334960850it_int: nat > int > int ).

thf(tp_bit_se7882103937844011126it_nat,type,
    bit_se7882103937844011126it_nat: nat > nat > nat ).

thf(tp_bit_se8260200283734997820nteger,type,
    bit_se8260200283734997820nteger: nat > code_integer > code_integer ).

thf(tp_bit_se8568078237143864401it_int,type,
    bit_se8568078237143864401it_int: nat > int > int ).

thf(tp_bit_se8570568707652914677it_nat,type,
    bit_se8570568707652914677it_nat: nat > nat > nat ).

thf(tp_bit_take_bit_num,type,
    bit_take_bit_num: nat > num > option_num ).

thf(tp_bit_un1837492267222099188nd_num,type,
    bit_un1837492267222099188nd_num: num > num > option_num ).

thf(tp_bit_un2480387367778600638or_num,type,
    bit_un2480387367778600638or_num: num > num > option_num ).

thf(tp_bit_un2901131394128224187um_rel,type,
    bit_un2901131394128224187um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(tp_bit_un3595099601533988841um_rel,type,
    bit_un3595099601533988841um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(tp_bit_un4731106466462545111um_rel,type,
    bit_un4731106466462545111um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(tp_bit_un5425074673868309765um_rel,type,
    bit_un5425074673868309765um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(tp_bit_un6178654185764691216or_num,type,
    bit_un6178654185764691216or_num: num > num > option_num ).

thf(tp_bit_un7362597486090784418nd_num,type,
    bit_un7362597486090784418nd_num: num > num > option_num ).

thf(tp_bot_bo1796632182523588997nt_int,type,
    bot_bo1796632182523588997nt_int: set_Pr958786334691620121nt_int ).

thf(tp_bot_bo2099793752762293965at_nat,type,
    bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).

thf(tp_bot_bo4199563552545308370d_enat,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

thf(tp_bot_bo4731626569425807221er_o_o,type,
    bot_bo4731626569425807221er_o_o: code_integer > $o > $o ).

thf(tp_bot_bo5379713665208646970eger_o,type,
    bot_bo5379713665208646970eger_o: set_Pr448751882837621926eger_o ).

thf(tp_bot_bo7038385379056416535at_num,type,
    bot_bo7038385379056416535at_num: set_Pr6200539531224447659at_num ).

thf(tp_bot_bo7653980558646680370d_enat,type,
    bot_bo7653980558646680370d_enat: set_Extended_enat ).

thf(tp_bot_bo9056780473022590049um_num,type,
    bot_bo9056780473022590049um_num: set_Pr8218934625190621173um_num ).

thf(tp_bot_bot_complex_o,type,
    bot_bot_complex_o: complex > $o ).

thf(tp_bot_bot_int_int_o,type,
    bot_bot_int_int_o: int > int > $o ).

thf(tp_bot_bot_int_o,type,
    bot_bot_int_o: int > $o ).

thf(tp_bot_bot_list_nat_o,type,
    bot_bot_list_nat_o: list_nat > $o ).

thf(tp_bot_bot_nat,type,
    bot_bot_nat: nat ).

thf(tp_bot_bot_nat_nat_o,type,
    bot_bot_nat_nat_o: nat > nat > $o ).

thf(tp_bot_bot_nat_num_o,type,
    bot_bot_nat_num_o: nat > num > $o ).

thf(tp_bot_bot_nat_o,type,
    bot_bot_nat_o: nat > $o ).

thf(tp_bot_bot_num_num_o,type,
    bot_bot_num_num_o: num > num > $o ).

thf(tp_bot_bot_real_o,type,
    bot_bot_real_o: real > $o ).

thf(tp_bot_bot_set_complex,type,
    bot_bot_set_complex: set_complex ).

thf(tp_bot_bot_set_int,type,
    bot_bot_set_int: set_int ).

thf(tp_bot_bot_set_list_nat,type,
    bot_bot_set_list_nat: set_list_nat ).

thf(tp_bot_bot_set_nat,type,
    bot_bot_set_nat: set_nat ).

thf(tp_bot_bot_set_num,type,
    bot_bot_set_num: set_num ).

thf(tp_bot_bot_set_rat,type,
    bot_bot_set_rat: set_rat ).

thf(tp_bot_bot_set_real,type,
    bot_bot_set_real: set_real ).

thf(tp_bot_bot_set_set_int,type,
    bot_bot_set_set_int: set_set_int ).

thf(tp_case_nat_nat,type,
    case_nat_nat: nat > ( nat > nat ) > nat > nat ).

thf(tp_case_nat_o,type,
    case_nat_o: $o > ( nat > $o ) > nat > $o ).

thf(tp_case_nat_option_num,type,
    case_nat_option_num: option_num > ( nat > option_num ) > nat > option_num ).

thf(tp_case_num_option_num,type,
    case_num_option_num: option_num > ( num > option_num ) > ( num > option_num ) > num > option_num ).

thf(tp_case_o184042715313410164at_nat,type,
    case_o184042715313410164at_nat: $o > ( product_prod_nat_nat > $o ) > option4927543243414619207at_nat > $o ).

thf(tp_case_o6005452278849405969um_num,type,
    case_o6005452278849405969um_num: option_num > ( num > option_num ) > option_num > option_num ).

thf(tp_case_option_int_num,type,
    case_option_int_num: int > ( num > int ) > option_num > int ).

thf(tp_case_option_num_num,type,
    case_option_num_num: num > ( num > num ) > option_num > num ).

thf(tp_char2,type,
    char2: $o > $o > $o > $o > $o > $o > $o > $o > char ).

thf(tp_cis,type,
    cis: real > complex ).

thf(tp_cnj,type,
    cnj: complex > complex ).

thf(tp_code_Target_negative,type,
    code_Target_negative: num > int ).

thf(tp_code_Target_positive,type,
    code_Target_positive: num > int ).

thf(tp_code_bit_cut_integer,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

thf(tp_code_divmod_abs,type,
    code_divmod_abs: code_integer > code_integer > produc8923325533196201883nteger ).

thf(tp_code_divmod_integer,type,
    code_divmod_integer: code_integer > code_integer > produc8923325533196201883nteger ).

thf(tp_code_int_of_integer,type,
    code_int_of_integer: code_integer > int ).

thf(tp_code_integer_of_int,type,
    code_integer_of_int: int > code_integer ).

thf(tp_code_integer_of_num,type,
    code_integer_of_num: num > code_integer ).

thf(tp_code_nat_of_integer,type,
    code_nat_of_integer: code_integer > nat ).

thf(tp_code_negative,type,
    code_negative: num > code_integer ).

thf(tp_code_num_of_integer,type,
    code_num_of_integer: code_integer > num ).

thf(tp_code_positive,type,
    code_positive: num > code_integer ).

thf(tp_collec213857154873943460nt_int,type,
    collec213857154873943460nt_int: ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int ).

thf(tp_collec5608196760682091941T_VEBT,type,
    collec5608196760682091941T_VEBT: ( list_VEBT_VEBT > $o ) > set_list_VEBT_VEBT ).

thf(tp_collect_Code_integer,type,
    collect_Code_integer: ( code_integer > $o ) > set_Code_integer ).

thf(tp_collect_VEBT_VEBT,type,
    collect_VEBT_VEBT: ( vEBT_VEBT > $o ) > set_VEBT_VEBT ).

thf(tp_collect_complex,type,
    collect_complex: ( complex > $o ) > set_complex ).

thf(tp_collect_int,type,
    collect_int: ( int > $o ) > set_int ).

thf(tp_collect_list_complex,type,
    collect_list_complex: ( list_complex > $o ) > set_list_complex ).

thf(tp_collect_list_int,type,
    collect_list_int: ( list_int > $o ) > set_list_int ).

thf(tp_collect_list_nat,type,
    collect_list_nat: ( list_nat > $o ) > set_list_nat ).

thf(tp_collect_list_o,type,
    collect_list_o: ( list_o > $o ) > set_list_o ).

thf(tp_collect_nat,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(tp_collect_num,type,
    collect_num: ( num > $o ) > set_num ).

thf(tp_collect_o,type,
    collect_o: ( $o > $o ) > set_o ).

thf(tp_collect_rat,type,
    collect_rat: ( rat > $o ) > set_rat ).

thf(tp_collect_real,type,
    collect_real: ( real > $o ) > set_real ).

thf(tp_collect_set_complex,type,
    collect_set_complex: ( set_complex > $o ) > set_set_complex ).

thf(tp_collect_set_int,type,
    collect_set_int: ( set_int > $o ) > set_set_int ).

thf(tp_collect_set_nat,type,
    collect_set_nat: ( set_nat > $o ) > set_set_nat ).

thf(tp_comm_s2602460028002588243omplex,type,
    comm_s2602460028002588243omplex: complex > nat > complex ).

thf(tp_comm_s4028243227959126397er_rat,type,
    comm_s4028243227959126397er_rat: rat > nat > rat ).

thf(tp_comm_s4660882817536571857er_int,type,
    comm_s4660882817536571857er_int: int > nat > int ).

thf(tp_comm_s4663373288045622133er_nat,type,
    comm_s4663373288045622133er_nat: nat > nat > nat ).

thf(tp_comm_s629917340098488124ar_nat,type,
    comm_s629917340098488124ar_nat: char > nat ).

thf(tp_comm_s7457072308508201937r_real,type,
    comm_s7457072308508201937r_real: real > nat > real ).

thf(tp_comm_s8582702949713902594nteger,type,
    comm_s8582702949713902594nteger: code_integer > nat > code_integer ).

thf(tp_comp_C1593894019821074884nteger,type,
    comp_C1593894019821074884nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(tp_comp_C3531382070062128313er_num,type,
    comp_C3531382070062128313er_num: ( code_integer > code_integer ) > ( num > code_integer ) > num > code_integer ).

thf(tp_comp_C8797469213163452608nteger,type,
    comp_C8797469213163452608nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(tp_comp_int_int_num,type,
    comp_int_int_num: ( int > int ) > ( num > int ) > num > int ).

thf(tp_comple1385675409528146559p_real,type,
    comple1385675409528146559p_real: set_real > real ).

thf(tp_comple4887499456419720421f_real,type,
    comple4887499456419720421f_real: set_real > real ).

thf(tp_comple7806235888213564991et_nat,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

thf(tp_complete_Inf_Inf_nat,type,
    complete_Inf_Inf_nat: set_nat > nat ).

thf(tp_complete_Sup_Sup_int,type,
    complete_Sup_Sup_int: set_int > int ).

thf(tp_complete_Sup_Sup_nat,type,
    complete_Sup_Sup_nat: set_nat > nat ).

thf(tp_complex2,type,
    complex2: real > real > complex ).

thf(tp_compow_nat_nat,type,
    compow_nat_nat: nat > ( nat > nat ) > nat > nat ).

thf(tp_cons_int,type,
    cons_int: int > list_int > list_int ).

thf(tp_cons_nat,type,
    cons_nat: nat > list_nat > list_nat ).

thf(tp_cos_coeff,type,
    cos_coeff: nat > real ).

thf(tp_cos_complex,type,
    cos_complex: complex > complex ).

thf(tp_cos_real,type,
    cos_real: real > real ).

thf(tp_cosh_real,type,
    cosh_real: real > real ).

thf(tp_cot_real,type,
    cot_real: real > real ).

thf(tp_csqrt,type,
    csqrt: complex > complex ).

thf(tp_deg,type,
    deg: nat ).

thf(tp_differ6690327859849518006l_real,type,
    differ6690327859849518006l_real: ( real > real ) > filter_real > $o ).

thf(tp_diffs_complex,type,
    diffs_complex: ( nat > complex ) > nat > complex ).

thf(tp_diffs_int,type,
    diffs_int: ( nat > int ) > nat > int ).

thf(tp_diffs_rat,type,
    diffs_rat: ( nat > rat ) > nat > rat ).

thf(tp_diffs_real,type,
    diffs_real: ( nat > real ) > nat > real ).

thf(tp_distinct_int,type,
    distinct_int: list_int > $o ).

thf(tp_distinct_nat,type,
    distinct_nat: list_nat > $o ).

thf(tp_divide1717551699836669952omplex,type,
    divide1717551699836669952omplex: complex > complex > complex ).

thf(tp_divide6298287555418463151nteger,type,
    divide6298287555418463151nteger: code_integer > code_integer > code_integer ).

thf(tp_divide_divide_int,type,
    divide_divide_int: int > int > int ).

thf(tp_divide_divide_nat,type,
    divide_divide_nat: nat > nat > nat ).

thf(tp_divide_divide_rat,type,
    divide_divide_rat: rat > rat > rat ).

thf(tp_divide_divide_real,type,
    divide_divide_real: real > real > real ).

thf(tp_divmod_nat,type,
    divmod_nat: nat > nat > product_prod_nat_nat ).

thf(tp_dvd_dvd_Code_integer,type,
    dvd_dvd_Code_integer: code_integer > code_integer > $o ).

thf(tp_dvd_dvd_complex,type,
    dvd_dvd_complex: complex > complex > $o ).

thf(tp_dvd_dvd_int,type,
    dvd_dvd_int: int > int > $o ).

thf(tp_dvd_dvd_nat,type,
    dvd_dvd_nat: nat > nat > $o ).

thf(tp_dvd_dvd_rat,type,
    dvd_dvd_rat: rat > rat > $o ).

thf(tp_dvd_dvd_real,type,
    dvd_dvd_real: real > real > $o ).

thf(tp_eucl_rel_int,type,
    eucl_rel_int: int > int > product_prod_int_int > $o ).

thf(tp_eventually_nat,type,
    eventually_nat: ( nat > $o ) > filter_nat > $o ).

thf(tp_eventually_real,type,
    eventually_real: ( real > $o ) > filter_real > $o ).

thf(tp_exp_complex,type,
    exp_complex: complex > complex ).

thf(tp_exp_real,type,
    exp_real: real > real ).

thf(tp_fChoice_real,type,
    fChoice_real: ( real > $o ) > real ).

thf(tp_field_5140801741446780682s_real,type,
    field_5140801741446780682s_real: set_real ).

thf(tp_filterlim_nat_nat,type,
    filterlim_nat_nat: ( nat > nat ) > filter_nat > filter_nat > $o ).

thf(tp_filterlim_nat_real,type,
    filterlim_nat_real: ( nat > real ) > filter_real > filter_nat > $o ).

thf(tp_filterlim_real_real,type,
    filterlim_real_real: ( real > real ) > filter_real > filter_real > $o ).

thf(tp_finite1152437895449049373et_nat,type,
    finite1152437895449049373et_nat: set_set_nat > $o ).

thf(tp_finite3004134309566078307T_VEBT,type,
    finite3004134309566078307T_VEBT: set_list_VEBT_VEBT > $o ).

thf(tp_finite3207457112153483333omplex,type,
    finite3207457112153483333omplex: set_complex > $o ).

thf(tp_finite3922522038869484883st_int,type,
    finite3922522038869484883st_int: set_list_int > $o ).

thf(tp_finite410649719033368117t_unit,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

thf(tp_finite5795047828879050333T_VEBT,type,
    finite5795047828879050333T_VEBT: set_VEBT_VEBT > $o ).

thf(tp_finite6197958912794628473et_int,type,
    finite6197958912794628473et_int: set_set_int > $o ).

thf(tp_finite6551019134538273531omplex,type,
    finite6551019134538273531omplex: set_set_complex > $o ).

thf(tp_finite8100373058378681591st_nat,type,
    finite8100373058378681591st_nat: set_list_nat > $o ).

thf(tp_finite8712137658972009173omplex,type,
    finite8712137658972009173omplex: set_list_complex > $o ).

thf(tp_finite_card_char,type,
    finite_card_char: set_char > nat ).

thf(tp_finite_card_complex,type,
    finite_card_complex: set_complex > nat ).

thf(tp_finite_card_int,type,
    finite_card_int: set_int > nat ).

thf(tp_finite_card_list_nat,type,
    finite_card_list_nat: set_list_nat > nat ).

thf(tp_finite_card_nat,type,
    finite_card_nat: set_nat > nat ).

thf(tp_finite_card_o,type,
    finite_card_o: set_o > nat ).

thf(tp_finite_finite_int,type,
    finite_finite_int: set_int > $o ).

thf(tp_finite_finite_list_o,type,
    finite_finite_list_o: set_list_o > $o ).

thf(tp_finite_finite_nat,type,
    finite_finite_nat: set_nat > $o ).

thf(tp_finite_finite_num,type,
    finite_finite_num: set_num > $o ).

thf(tp_finite_finite_o,type,
    finite_finite_o: set_o > $o ).

thf(tp_finite_finite_rat,type,
    finite_finite_rat: set_rat > $o ).

thf(tp_finite_finite_real,type,
    finite_finite_real: set_real > $o ).

thf(tp_fract,type,
    fract: int > int > rat ).

thf(tp_frct,type,
    frct: product_prod_int_int > rat ).

thf(tp_gbinomial_complex,type,
    gbinomial_complex: complex > nat > complex ).

thf(tp_gbinomial_int,type,
    gbinomial_int: int > nat > int ).

thf(tp_gbinomial_nat,type,
    gbinomial_nat: nat > nat > nat ).

thf(tp_gbinomial_rat,type,
    gbinomial_rat: rat > nat > rat ).

thf(tp_gbinomial_real,type,
    gbinomial_real: real > nat > real ).

thf(tp_gcd_Gcd_int,type,
    gcd_Gcd_int: set_int > int ).

thf(tp_gcd_Gcd_nat,type,
    gcd_Gcd_nat: set_nat > nat ).

thf(tp_gcd_gcd_int,type,
    gcd_gcd_int: int > int > int ).

thf(tp_gcd_gcd_nat,type,
    gcd_gcd_nat: nat > nat > nat ).

thf(tp_gcd_nat_rel,type,
    gcd_nat_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(tp_groups1072433553688619179nt_rat,type,
    groups1072433553688619179nt_rat: ( int > rat ) > set_int > rat ).

thf(tp_groups129246275422532515t_real,type,
    groups129246275422532515t_real: ( nat > real ) > set_nat > real ).

thf(tp_groups1300246762558778688al_rat,type,
    groups1300246762558778688al_rat: ( real > rat ) > set_real > rat ).

thf(tp_groups1681761925125756287l_real,type,
    groups1681761925125756287l_real: ( real > real ) > set_real > real ).

thf(tp_groups1705073143266064639nt_int,type,
    groups1705073143266064639nt_int: ( int > int ) > set_int > int ).

thf(tp_groups1707563613775114915nt_nat,type,
    groups1707563613775114915nt_nat: ( int > nat ) > set_int > nat ).

thf(tp_groups1932886352136224148al_int,type,
    groups1932886352136224148al_int: ( real > int ) > set_real > int ).

thf(tp_groups1935376822645274424al_nat,type,
    groups1935376822645274424al_nat: ( real > nat ) > set_real > nat ).

thf(tp_groups2073611262835488442omplex,type,
    groups2073611262835488442omplex: ( nat > complex ) > set_nat > complex ).

thf(tp_groups225925009352817453ex_rat,type,
    groups225925009352817453ex_rat: ( complex > rat ) > set_complex > rat ).

thf(tp_groups2316167850115554303t_real,type,
    groups2316167850115554303t_real: ( int > real ) > set_int > real ).

thf(tp_groups2906978787729119204at_rat,type,
    groups2906978787729119204at_rat: ( nat > rat ) > set_nat > rat ).

thf(tp_groups3049146728041665814omplex,type,
    groups3049146728041665814omplex: ( int > complex ) > set_int > complex ).

thf(tp_groups3455450783089532116nteger,type,
    groups3455450783089532116nteger: ( nat > code_integer ) > set_nat > code_integer ).

thf(tp_groups3539618377306564664at_int,type,
    groups3539618377306564664at_int: ( nat > int ) > set_nat > int ).

thf(tp_groups3542108847815614940at_nat,type,
    groups3542108847815614940at_nat: ( nat > nat ) > set_nat > nat ).

thf(tp_groups3708469109370488835omplex,type,
    groups3708469109370488835omplex: ( complex > complex ) > set_complex > complex ).

thf(tp_groups3827104343326376752nteger,type,
    groups3827104343326376752nteger: ( int > code_integer ) > set_int > code_integer ).

thf(tp_groups3906332499630173760nt_rat,type,
    groups3906332499630173760nt_rat: ( int > rat ) > set_int > rat ).

thf(tp_groups4061424788464935467al_rat,type,
    groups4061424788464935467al_rat: ( real > rat ) > set_real > rat ).

thf(tp_groups4538972089207619220nt_int,type,
    groups4538972089207619220nt_int: ( int > int ) > set_int > int ).

thf(tp_groups4541462559716669496nt_nat,type,
    groups4541462559716669496nt_nat: ( int > nat ) > set_int > nat ).

thf(tp_groups4561878855575611511st_nat,type,
    groups4561878855575611511st_nat: list_nat > nat ).

thf(tp_groups4694064378042380927al_int,type,
    groups4694064378042380927al_int: ( real > int ) > set_real > int ).

thf(tp_groups4696554848551431203al_nat,type,
    groups4696554848551431203al_nat: ( real > nat ) > set_real > nat ).

thf(tp_groups5058264527183730370ex_rat,type,
    groups5058264527183730370ex_rat: ( complex > rat ) > set_complex > rat ).

thf(tp_groups5690904116761175830ex_int,type,
    groups5690904116761175830ex_int: ( complex > int ) > set_complex > int ).

thf(tp_groups5693394587270226106ex_nat,type,
    groups5693394587270226106ex_nat: ( complex > nat ) > set_complex > nat ).

thf(tp_groups5754745047067104278omplex,type,
    groups5754745047067104278omplex: ( real > complex ) > set_real > complex ).

thf(tp_groups5808333547571424918x_real,type,
    groups5808333547571424918x_real: ( complex > real ) > set_complex > real ).

thf(tp_groups6225526099057966256nteger,type,
    groups6225526099057966256nteger: ( real > code_integer ) > set_real > code_integer ).

thf(tp_groups6464643781859351333omplex,type,
    groups6464643781859351333omplex: ( nat > complex ) > set_nat > complex ).

thf(tp_groups6591440286371151544t_real,type,
    groups6591440286371151544t_real: ( nat > real ) > set_nat > real ).

thf(tp_groups6621422865394947399nteger,type,
    groups6621422865394947399nteger: ( complex > code_integer ) > set_complex > code_integer ).

thf(tp_groups705719431365010083at_int,type,
    groups705719431365010083at_int: ( nat > int ) > set_nat > int ).

thf(tp_groups708209901874060359at_nat,type,
    groups708209901874060359at_nat: ( nat > nat ) > set_nat > nat ).

thf(tp_groups713298508707869441omplex,type,
    groups713298508707869441omplex: ( real > complex ) > set_real > complex ).

thf(tp_groups73079841787564623at_rat,type,
    groups73079841787564623at_rat: ( nat > rat ) > set_nat > rat ).

thf(tp_groups7440179247065528705omplex,type,
    groups7440179247065528705omplex: ( int > complex ) > set_int > complex ).

thf(tp_groups7501900531339628137nteger,type,
    groups7501900531339628137nteger: ( nat > code_integer ) > set_nat > code_integer ).

thf(tp_groups766887009212190081x_real,type,
    groups766887009212190081x_real: ( complex > real ) > set_complex > real ).

thf(tp_groups7713935264441627589nteger,type,
    groups7713935264441627589nteger: ( real > code_integer ) > set_real > code_integer ).

thf(tp_groups7754918857620584856omplex,type,
    groups7754918857620584856omplex: ( complex > complex ) > set_complex > complex ).

thf(tp_groups7873554091576472773nteger,type,
    groups7873554091576472773nteger: ( int > code_integer ) > set_int > code_integer ).

thf(tp_groups8097168146408367636l_real,type,
    groups8097168146408367636l_real: ( real > real ) > set_real > real ).

thf(tp_groups858564598930262913ex_int,type,
    groups858564598930262913ex_int: ( complex > int ) > set_complex > int ).

thf(tp_groups861055069439313189ex_nat,type,
    groups861055069439313189ex_nat: ( complex > nat ) > set_complex > nat ).

thf(tp_groups8682486955453173170nteger,type,
    groups8682486955453173170nteger: ( complex > code_integer ) > set_complex > code_integer ).

thf(tp_groups8778361861064173332t_real,type,
    groups8778361861064173332t_real: ( int > real ) > set_int > real ).

thf(tp_groups9116527308978886569_o_int,type,
    groups9116527308978886569_o_int: ( $o > int ) > int > list_o > int ).

thf(tp_has_de1759254742604945161l_real,type,
    has_de1759254742604945161l_real: ( real > real ) > ( real > real ) > filter_real > $o ).

thf(tp_has_fi5821293074295781190e_real,type,
    has_fi5821293074295781190e_real: ( real > real ) > real > filter_real > $o ).

thf(tp_hd_nat,type,
    hd_nat: list_nat > nat ).

thf(tp_if_Code_integer,type,
    if_Code_integer: $o > code_integer > code_integer > code_integer ).

thf(tp_if_Extended_enat,type,
    if_Extended_enat: $o > extended_enat > extended_enat > extended_enat ).

thf(tp_if_Pro3027730157355071871nt_int,type,
    if_Pro3027730157355071871nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int ).

thf(tp_if_Pro5737122678794959658eger_o,type,
    if_Pro5737122678794959658eger_o: $o > produc6271795597528267376eger_o > produc6271795597528267376eger_o > produc6271795597528267376eger_o ).

thf(tp_if_Pro6119634080678213985nteger,type,
    if_Pro6119634080678213985nteger: $o > produc8923325533196201883nteger > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(tp_if_Pro6206227464963214023at_nat,type,
    if_Pro6206227464963214023at_nat: $o > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(tp_if_VEBT_VEBT,type,
    if_VEBT_VEBT: $o > vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(tp_if_complex,type,
    if_complex: $o > complex > complex > complex ).

thf(tp_if_int,type,
    if_int: $o > int > int > int ).

thf(tp_if_list_int,type,
    if_list_int: $o > list_int > list_int > list_int ).

thf(tp_if_list_nat,type,
    if_list_nat: $o > list_nat > list_nat > list_nat ).

thf(tp_if_nat,type,
    if_nat: $o > nat > nat > nat ).

thf(tp_if_num,type,
    if_num: $o > num > num > num ).

thf(tp_if_option_nat,type,
    if_option_nat: $o > option_nat > option_nat > option_nat ).

thf(tp_if_option_num,type,
    if_option_num: $o > option_num > option_num > option_num ).

thf(tp_if_rat,type,
    if_rat: $o > rat > rat > rat ).

thf(tp_if_real,type,
    if_real: $o > real > real > real ).

thf(tp_if_set_int,type,
    if_set_int: $o > set_int > set_int > set_int ).

thf(tp_im,type,
    im: complex > real ).

thf(tp_image_char_nat,type,
    image_char_nat: ( char > nat ) > set_char > set_nat ).

thf(tp_image_int_int,type,
    image_int_int: ( int > int ) > set_int > set_int ).

thf(tp_image_nat_char,type,
    image_nat_char: ( nat > char ) > set_nat > set_char ).

thf(tp_image_nat_int,type,
    image_nat_int: ( nat > int ) > set_nat > set_int ).

thf(tp_image_nat_nat,type,
    image_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(tp_image_nat_real,type,
    image_nat_real: ( nat > real ) > set_nat > set_real ).

thf(tp_image_nat_set_nat,type,
    image_nat_set_nat: ( nat > set_nat ) > set_nat > set_set_nat ).

thf(tp_image_real_real,type,
    image_real_real: ( real > real ) > set_real > set_real ).

thf(tp_imaginary_unit,type,
    imaginary_unit: complex ).

thf(tp_inc,type,
    inc: num > num ).

thf(tp_insert_int,type,
    insert_int: int > set_int > set_int ).

thf(tp_insert_nat,type,
    insert_nat: nat > set_nat > set_nat ).

thf(tp_insert_real,type,
    insert_real: real > set_real > set_real ).

thf(tp_int_ge_less_than,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

thf(tp_int_ge_less_than2,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

thf(tp_integer_of_char,type,
    integer_of_char: char > code_integer ).

thf(tp_invers8013647133539491842omplex,type,
    invers8013647133539491842omplex: complex > complex ).

thf(tp_inverse_inverse_rat,type,
    inverse_inverse_rat: rat > rat ).

thf(tp_inverse_inverse_real,type,
    inverse_inverse_real: real > real ).

thf(tp_lattic8265883725875713057ax_nat,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

thf(tp_linord2614967742042102400et_nat,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

thf(tp_list_u1324408373059187874T_VEBT,type,
    list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(tp_list_update_complex,type,
    list_update_complex: list_complex > nat > complex > list_complex ).

thf(tp_list_update_int,type,
    list_update_int: list_int > nat > int > list_int ).

thf(tp_list_update_nat,type,
    list_update_nat: list_nat > nat > nat > list_nat ).

thf(tp_list_update_o,type,
    list_update_o: list_o > nat > $o > list_o ).

thf(tp_list_update_real,type,
    list_update_real: list_real > nat > real > list_real ).

thf(tp_ln_ln_real,type,
    ln_ln_real: real > real ).

thf(tp_log,type,
    log: real > real > real ).

thf(tp_m,type,
    m: nat ).

thf(tp_ma,type,
    ma: nat ).

thf(tp_map_fu3667384564859982768at_int,type,
    map_fu3667384564859982768at_int: ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > int ) > ( product_prod_nat_nat > product_prod_nat_nat ) > int > int ).

thf(tp_map_fu4960017516451851995nt_int,type,
    map_fu4960017516451851995nt_int: ( int > product_prod_nat_nat ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > int > int ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > int > int > int ).

thf(tp_map_nat_nat,type,
    map_nat_nat: ( nat > nat ) > list_nat > list_nat ).

thf(tp_map_option_num_num,type,
    map_option_num_num: ( num > num ) > option_num > option_num ).

thf(tp_maxy,type,
    maxy: nat ).

thf(tp_measure_int,type,
    measure_int: ( int > nat ) > set_Pr958786334691620121nt_int ).

thf(tp_measure_nat,type,
    measure_nat: ( nat > nat ) > set_Pr1261947904930325089at_nat ).

thf(tp_measure_num,type,
    measure_num: ( num > nat ) > set_Pr8218934625190621173um_num ).

thf(tp_member1379723562493234055eger_o,type,
    member1379723562493234055eger_o: produc6271795597528267376eger_o > set_Pr448751882837621926eger_o > $o ).

thf(tp_member2936631157270082147T_VEBT,type,
    member2936631157270082147T_VEBT: list_VEBT_VEBT > set_list_VEBT_VEBT > $o ).

thf(tp_member5262025264175285858nt_int,type,
    member5262025264175285858nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > $o ).

thf(tp_member7279096912039735102um_num,type,
    member7279096912039735102um_num: product_prod_num_num > set_Pr8218934625190621173um_num > $o ).

thf(tp_member8440522571783428010at_nat,type,
    member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o ).

thf(tp_member9148766508732265716at_num,type,
    member9148766508732265716at_num: product_prod_nat_num > set_Pr6200539531224447659at_num > $o ).

thf(tp_member_VEBT_VEBT,type,
    member_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > $o ).

thf(tp_member_complex,type,
    member_complex: complex > set_complex > $o ).

thf(tp_member_int,type,
    member_int: int > set_int > $o ).

thf(tp_member_list_int,type,
    member_list_int: list_int > set_list_int > $o ).

thf(tp_member_list_nat,type,
    member_list_nat: list_nat > set_list_nat > $o ).

thf(tp_member_list_o,type,
    member_list_o: list_o > set_list_o > $o ).

thf(tp_member_nat,type,
    member_nat: nat > set_nat > $o ).

thf(tp_member_num,type,
    member_num: num > set_num > $o ).

thf(tp_member_o,type,
    member_o: $o > set_o > $o ).

thf(tp_member_rat,type,
    member_rat: rat > set_rat > $o ).

thf(tp_member_real,type,
    member_real: real > set_real > $o ).

thf(tp_member_set_int,type,
    member_set_int: set_int > set_set_int > $o ).

thf(tp_mi,type,
    mi: nat ).

thf(tp_minus_1139252259498527702_nat_o,type,
    minus_1139252259498527702_nat_o: ( list_nat > $o ) > ( list_nat > $o ) > list_nat > $o ).

thf(tp_minus_3235023915231533773d_enat,type,
    minus_3235023915231533773d_enat: extended_enat > extended_enat > extended_enat ).

thf(tp_minus_7954133019191499631st_nat,type,
    minus_7954133019191499631st_nat: set_list_nat > set_list_nat > set_list_nat ).

thf(tp_minus_811609699411566653omplex,type,
    minus_811609699411566653omplex: set_complex > set_complex > set_complex ).

thf(tp_minus_8373710615458151222nteger,type,
    minus_8373710615458151222nteger: code_integer > code_integer > code_integer ).

thf(tp_minus_8727706125548526216plex_o,type,
    minus_8727706125548526216plex_o: ( complex > $o ) > ( complex > $o ) > complex > $o ).

thf(tp_minus_minus_complex,type,
    minus_minus_complex: complex > complex > complex ).

thf(tp_minus_minus_int,type,
    minus_minus_int: int > int > int ).

thf(tp_minus_minus_int_o,type,
    minus_minus_int_o: ( int > $o ) > ( int > $o ) > int > $o ).

thf(tp_minus_minus_nat,type,
    minus_minus_nat: nat > nat > nat ).

thf(tp_minus_minus_nat_o,type,
    minus_minus_nat_o: ( nat > $o ) > ( nat > $o ) > nat > $o ).

thf(tp_minus_minus_rat,type,
    minus_minus_rat: rat > rat > rat ).

thf(tp_minus_minus_real,type,
    minus_minus_real: real > real > real ).

thf(tp_minus_minus_real_o,type,
    minus_minus_real_o: ( real > $o ) > ( real > $o ) > real > $o ).

thf(tp_minus_minus_set_int,type,
    minus_minus_set_int: set_int > set_int > set_int ).

thf(tp_minus_minus_set_nat,type,
    minus_minus_set_nat: set_nat > set_nat > set_nat ).

thf(tp_minus_minus_set_real,type,
    minus_minus_set_real: set_real > set_real > set_real ).

thf(tp_modulo364778990260209775nteger,type,
    modulo364778990260209775nteger: code_integer > code_integer > code_integer ).

thf(tp_modulo_modulo_int,type,
    modulo_modulo_int: int > int > int ).

thf(tp_modulo_modulo_nat,type,
    modulo_modulo_nat: nat > nat > nat ).

thf(tp_na,type,
    na: nat ).

thf(tp_nat2,type,
    nat2: int > nat ).

thf(tp_nat_list_encode,type,
    nat_list_encode: list_nat > nat ).

thf(tp_nat_list_encode_rel,type,
    nat_list_encode_rel: list_nat > list_nat > $o ).

thf(tp_nat_pr5047031295181774490ux_rel,type,
    nat_pr5047031295181774490ux_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(tp_nat_prod_decode_aux,type,
    nat_prod_decode_aux: nat > nat > product_prod_nat_nat ).

thf(tp_nat_prod_encode,type,
    nat_prod_encode: product_prod_nat_nat > nat ).

thf(tp_nat_set_decode,type,
    nat_set_decode: nat > set_nat ).

thf(tp_nat_set_encode,type,
    nat_set_encode: set_nat > nat ).

thf(tp_nat_triangle,type,
    nat_triangle: nat > nat ).

thf(tp_neg_nu3179335615603231917ec_rat,type,
    neg_nu3179335615603231917ec_rat: rat > rat ).

thf(tp_neg_nu3811975205180677377ec_int,type,
    neg_nu3811975205180677377ec_int: int > int ).

thf(tp_neg_nu5219082963157363817nc_rat,type,
    neg_nu5219082963157363817nc_rat: rat > rat ).

thf(tp_neg_nu5831290666863070958nteger,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

thf(tp_neg_nu5851722552734809277nc_int,type,
    neg_nu5851722552734809277nc_int: int > int ).

thf(tp_neg_nu6075765906172075777c_real,type,
    neg_nu6075765906172075777c_real: real > real ).

thf(tp_neg_nu6511756317524482435omplex,type,
    neg_nu6511756317524482435omplex: complex > complex ).

thf(tp_neg_nu7009210354673126013omplex,type,
    neg_nu7009210354673126013omplex: complex > complex ).

thf(tp_neg_nu7757733837767384882nteger,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

thf(tp_neg_nu8295874005876285629c_real,type,
    neg_nu8295874005876285629c_real: real > real ).

thf(tp_neg_nu8557863876264182079omplex,type,
    neg_nu8557863876264182079omplex: complex > complex ).

thf(tp_neg_nu8804712462038260780nteger,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

thf(tp_neg_numeral_dbl_int,type,
    neg_numeral_dbl_int: int > int ).

thf(tp_neg_numeral_dbl_rat,type,
    neg_numeral_dbl_rat: rat > rat ).

thf(tp_neg_numeral_dbl_real,type,
    neg_numeral_dbl_real: real > real ).

thf(tp_neg_numeral_sub_int,type,
    neg_numeral_sub_int: num > num > int ).

thf(tp_nil_int,type,
    nil_int: list_int ).

thf(tp_nil_nat,type,
    nil_nat: list_nat ).

thf(tp_none_P5556105721700978146at_nat,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

thf(tp_none_nat,type,
    none_nat: option_nat ).

thf(tp_none_num,type,
    none_num: option_num ).

thf(tp_normalize,type,
    normalize: product_prod_int_int > product_prod_int_int ).

thf(tp_nth_Code_integer,type,
    nth_Code_integer: list_Code_integer > nat > code_integer ).

thf(tp_nth_Pr1649062631805364268_o_int,type,
    nth_Pr1649062631805364268_o_int: list_P3795440434834930179_o_int > nat > product_prod_o_int ).

thf(tp_nth_Pr1791586995822124652BT_nat,type,
    nth_Pr1791586995822124652BT_nat: list_P7037539587688870467BT_nat > nat > produc9072475918466114483BT_nat ).

thf(tp_nth_Pr4606735188037164562VEBT_o,type,
    nth_Pr4606735188037164562VEBT_o: list_P3126845725202233233VEBT_o > nat > produc334124729049499915VEBT_o ).

thf(tp_nth_Pr4953567300277697838T_VEBT,type,
    nth_Pr4953567300277697838T_VEBT: list_P7413028617227757229T_VEBT > nat > produc8243902056947475879T_VEBT ).

thf(tp_nth_Pr5826913651314560976_o_nat,type,
    nth_Pr5826913651314560976_o_nat: list_P6285523579766656935_o_nat > nat > product_prod_o_nat ).

thf(tp_nth_Pr6456567536196504476um_num,type,
    nth_Pr6456567536196504476um_num: list_P3744719386663036955um_num > nat > product_prod_num_num ).

thf(tp_nth_Pr6777367263587873994T_VEBT,type,
    nth_Pr6777367263587873994T_VEBT: list_P7495141550334521929T_VEBT > nat > produc2504756804600209347T_VEBT ).

thf(tp_nth_Pr6837108013167703752BT_int,type,
    nth_Pr6837108013167703752BT_int: list_P4547456442757143711BT_int > nat > produc4894624898956917775BT_int ).

thf(tp_nth_Pr8522763379788166057eger_o,type,
    nth_Pr8522763379788166057eger_o: list_P8526636022914148096eger_o > nat > produc6271795597528267376eger_o ).

thf(tp_nth_Product_prod_o_o,type,
    nth_Product_prod_o_o: list_P4002435161011370285od_o_o > nat > product_prod_o_o ).

thf(tp_nth_VEBT_VEBT,type,
    nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(tp_nth_complex,type,
    nth_complex: list_complex > nat > complex ).

thf(tp_nth_int,type,
    nth_int: list_int > nat > int ).

thf(tp_nth_list_nat,type,
    nth_list_nat: list_list_nat > nat > list_nat ).

thf(tp_nth_nat,type,
    nth_nat: list_nat > nat > nat ).

thf(tp_nth_num,type,
    nth_num: list_num > nat > num ).

thf(tp_nth_o,type,
    nth_o: list_o > nat > $o ).

thf(tp_nth_real,type,
    nth_real: list_real > nat > real ).

thf(tp_num_of_nat,type,
    num_of_nat: nat > num ).

thf(tp_numera1916890842035813515d_enat,type,
    numera1916890842035813515d_enat: num > extended_enat ).

thf(tp_numera6620942414471956472nteger,type,
    numera6620942414471956472nteger: num > code_integer ).

thf(tp_numera6690914467698888265omplex,type,
    numera6690914467698888265omplex: num > complex ).

thf(tp_numeral_numeral_int,type,
    numeral_numeral_int: num > int ).

thf(tp_numeral_numeral_nat,type,
    numeral_numeral_nat: num > nat ).

thf(tp_numeral_numeral_rat,type,
    numeral_numeral_rat: num > rat ).

thf(tp_numeral_numeral_real,type,
    numeral_numeral_real: num > real ).

thf(tp_of_int,type,
    of_int: int > rat ).

thf(tp_one,type,
    one: num ).

thf(tp_one_on7984719198319812577d_enat,type,
    one_on7984719198319812577d_enat: extended_enat ).

thf(tp_one_one_Code_integer,type,
    one_one_Code_integer: code_integer ).

thf(tp_one_one_complex,type,
    one_one_complex: complex ).

thf(tp_one_one_int,type,
    one_one_int: int ).

thf(tp_one_one_nat,type,
    one_one_nat: nat ).

thf(tp_one_one_rat,type,
    one_one_rat: rat ).

thf(tp_one_one_real,type,
    one_one_real: real ).

thf(tp_ord_le1520216061033275535_nat_o,type,
    ord_le1520216061033275535_nat_o: ( list_nat > $o ) > ( list_nat > $o ) > $o ).

thf(tp_ord_le1598226405681992910_int_o,type,
    ord_le1598226405681992910_int_o: ( product_prod_int_int > product_prod_int_int > $o ) > ( product_prod_int_int > product_prod_int_int > $o ) > $o ).

thf(tp_ord_le211207098394363844omplex,type,
    ord_le211207098394363844omplex: set_complex > set_complex > $o ).

thf(tp_ord_le2162486998276636481er_o_o,type,
    ord_le2162486998276636481er_o_o: ( code_integer > $o > $o ) > ( code_integer > $o > $o ) > $o ).

thf(tp_ord_le2239182809043710856_num_o,type,
    ord_le2239182809043710856_num_o: ( product_prod_num_num > $o ) > ( product_prod_num_num > $o ) > $o ).

thf(tp_ord_le2510731241096832064er_nat,type,
    ord_le2510731241096832064er_nat: filter_nat > filter_nat > $o ).

thf(tp_ord_le2556027599737686990_num_o,type,
    ord_le2556027599737686990_num_o: ( product_prod_num_num > product_prod_num_num > $o ) > ( product_prod_num_num > product_prod_num_num > $o ) > $o ).

thf(tp_ord_le2646555220125990790_nat_o,type,
    ord_le2646555220125990790_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(tp_ord_le2843351958646193337nt_int,type,
    ord_le2843351958646193337nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > $o ).

thf(tp_ord_le2932123472753598470d_enat,type,
    ord_le2932123472753598470d_enat: extended_enat > extended_enat > $o ).

thf(tp_ord_le3102999989581377725nteger,type,
    ord_le3102999989581377725nteger: code_integer > code_integer > $o ).

thf(tp_ord_le3146513528884898305at_nat,type,
    ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(tp_ord_le3404735783095501756_num_o,type,
    ord_le3404735783095501756_num_o: ( nat > num > $o ) > ( nat > num > $o ) > $o ).

thf(tp_ord_le4104064031414453916r_real,type,
    ord_le4104064031414453916r_real: filter_real > filter_real > $o ).

thf(tp_ord_le4337996190870823476T_VEBT,type,
    ord_le4337996190870823476T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT > $o ).

thf(tp_ord_le4403425263959731960et_int,type,
    ord_le4403425263959731960et_int: set_set_int > set_set_int > $o ).

thf(tp_ord_le4573692005234683329plex_o,type,
    ord_le4573692005234683329plex_o: ( complex > $o ) > ( complex > $o ) > $o ).

thf(tp_ord_le5604493270027003598_nat_o,type,
    ord_le5604493270027003598_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > $o ).

thf(tp_ord_le6045566169113846134st_nat,type,
    ord_le6045566169113846134st_nat: set_list_nat > set_list_nat > $o ).

thf(tp_ord_le6124364862034508274_num_o,type,
    ord_le6124364862034508274_num_o: ( num > num > $o ) > ( num > num > $o ) > $o ).

thf(tp_ord_le6558929396352911974_nat_o,type,
    ord_le6558929396352911974_nat_o: ( list_nat > list_nat > $o ) > ( list_nat > list_nat > $o ) > $o ).

thf(tp_ord_le6741204236512500942_int_o,type,
    ord_le6741204236512500942_int_o: ( int > int > $o ) > ( int > int > $o ) > $o ).

thf(tp_ord_le6747313008572928689nteger,type,
    ord_le6747313008572928689nteger: code_integer > code_integer > $o ).

thf(tp_ord_le704812498762024988_nat_o,type,
    ord_le704812498762024988_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ).

thf(tp_ord_le7084787975880047091nteger,type,
    ord_le7084787975880047091nteger: set_Code_integer > set_Code_integer > $o ).

thf(tp_ord_le72135733267957522d_enat,type,
    ord_le72135733267957522d_enat: extended_enat > extended_enat > $o ).

thf(tp_ord_le8085105155179020875at_num,type,
    ord_le8085105155179020875at_num: set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num > $o ).

thf(tp_ord_le8369615600986905444_int_o,type,
    ord_le8369615600986905444_int_o: ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > $o ).

thf(tp_ord_le880128212290418581um_num,type,
    ord_le880128212290418581um_num: set_Pr8218934625190621173um_num > set_Pr8218934625190621173um_num > $o ).

thf(tp_ord_le8980329558974975238eger_o,type,
    ord_le8980329558974975238eger_o: set_Pr448751882837621926eger_o > set_Pr448751882837621926eger_o > $o ).

thf(tp_ord_less_eq_int,type,
    ord_less_eq_int: int > int > $o ).

thf(tp_ord_less_eq_int_o,type,
    ord_less_eq_int_o: ( int > $o ) > ( int > $o ) > $o ).

thf(tp_ord_less_eq_nat,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(tp_ord_less_eq_nat_o,type,
    ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).

thf(tp_ord_less_eq_num,type,
    ord_less_eq_num: num > num > $o ).

thf(tp_ord_less_eq_rat,type,
    ord_less_eq_rat: rat > rat > $o ).

thf(tp_ord_less_eq_real,type,
    ord_less_eq_real: real > real > $o ).

thf(tp_ord_less_eq_real_o,type,
    ord_less_eq_real_o: ( real > $o ) > ( real > $o ) > $o ).

thf(tp_ord_less_eq_set_int,type,
    ord_less_eq_set_int: set_int > set_int > $o ).

thf(tp_ord_less_eq_set_nat,type,
    ord_less_eq_set_nat: set_nat > set_nat > $o ).

thf(tp_ord_less_eq_set_num,type,
    ord_less_eq_set_num: set_num > set_num > $o ).

thf(tp_ord_less_eq_set_o,type,
    ord_less_eq_set_o: set_o > set_o > $o ).

thf(tp_ord_less_eq_set_rat,type,
    ord_less_eq_set_rat: set_rat > set_rat > $o ).

thf(tp_ord_less_eq_set_real,type,
    ord_less_eq_set_real: set_real > set_real > $o ).

thf(tp_ord_less_int,type,
    ord_less_int: int > int > $o ).

thf(tp_ord_less_nat,type,
    ord_less_nat: nat > nat > $o ).

thf(tp_ord_less_num,type,
    ord_less_num: num > num > $o ).

thf(tp_ord_less_rat,type,
    ord_less_rat: rat > rat > $o ).

thf(tp_ord_less_real,type,
    ord_less_real: real > real > $o ).

thf(tp_ord_less_set_complex,type,
    ord_less_set_complex: set_complex > set_complex > $o ).

thf(tp_ord_less_set_int,type,
    ord_less_set_int: set_int > set_int > $o ).

thf(tp_ord_less_set_nat,type,
    ord_less_set_nat: set_nat > set_nat > $o ).

thf(tp_ord_less_set_num,type,
    ord_less_set_num: set_num > set_num > $o ).

thf(tp_ord_less_set_rat,type,
    ord_less_set_rat: set_rat > set_rat > $o ).

thf(tp_ord_less_set_real,type,
    ord_less_set_real: set_real > set_real > $o ).

thf(tp_ord_less_set_set_int,type,
    ord_less_set_set_int: set_set_int > set_set_int > $o ).

thf(tp_ord_ma741700101516333627d_enat,type,
    ord_ma741700101516333627d_enat: extended_enat > extended_enat > extended_enat ).

thf(tp_ord_max_Code_integer,type,
    ord_max_Code_integer: code_integer > code_integer > code_integer ).

thf(tp_ord_max_int,type,
    ord_max_int: int > int > int ).

thf(tp_ord_max_nat,type,
    ord_max_nat: nat > nat > nat ).

thf(tp_ord_max_num,type,
    ord_max_num: num > num > num ).

thf(tp_ord_max_rat,type,
    ord_max_rat: rat > rat > rat ).

thf(tp_ord_max_real,type,
    ord_max_real: real > real > real ).

thf(tp_ord_max_set_int,type,
    ord_max_set_int: set_int > set_int > set_int ).

thf(tp_ord_max_set_nat,type,
    ord_max_set_nat: set_nat > set_nat > set_nat ).

thf(tp_ord_max_set_real,type,
    ord_max_set_real: set_real > set_real > set_real ).

thf(tp_order_9091379641038594480t_real,type,
    order_9091379641038594480t_real: ( nat > real ) > $o ).

thf(tp_order_Greatest_nat,type,
    order_Greatest_nat: ( nat > $o ) > nat ).

thf(tp_order_mono_nat_nat,type,
    order_mono_nat_nat: ( nat > nat ) > $o ).

thf(tp_order_mono_nat_real,type,
    order_mono_nat_real: ( nat > real ) > $o ).

thf(tp_pi,type,
    pi: real ).

thf(tp_plus_p3455044024723400733d_enat,type,
    plus_p3455044024723400733d_enat: extended_enat > extended_enat > extended_enat ).

thf(tp_plus_p5714425477246183910nteger,type,
    plus_p5714425477246183910nteger: code_integer > code_integer > code_integer ).

thf(tp_plus_plus_complex,type,
    plus_plus_complex: complex > complex > complex ).

thf(tp_plus_plus_int,type,
    plus_plus_int: int > int > int ).

thf(tp_plus_plus_nat,type,
    plus_plus_nat: nat > nat > nat ).

thf(tp_plus_plus_num,type,
    plus_plus_num: num > num > num ).

thf(tp_plus_plus_rat,type,
    plus_plus_rat: rat > rat > rat ).

thf(tp_plus_plus_real,type,
    plus_plus_real: real > real > real ).

thf(tp_pow,type,
    pow: num > num > num ).

thf(tp_power_8256067586552552935nteger,type,
    power_8256067586552552935nteger: code_integer > nat > code_integer ).

thf(tp_power_power_complex,type,
    power_power_complex: complex > nat > complex ).

thf(tp_power_power_int,type,
    power_power_int: int > nat > int ).

thf(tp_power_power_nat,type,
    power_power_nat: nat > nat > nat ).

thf(tp_power_power_rat,type,
    power_power_rat: rat > nat > rat ).

thf(tp_power_power_real,type,
    power_power_real: real > nat > real ).

thf(tp_powr_real,type,
    powr_real: real > real > real ).

thf(tp_pr,type,
    pr: nat ).

thf(tp_pred,type,
    pred: nat > nat ).

thf(tp_pred_numeral,type,
    pred_numeral: num > nat ).

thf(tp_produc1043322548047392435omplex,type,
    produc1043322548047392435omplex: ( code_integer > $o > set_complex ) > produc6271795597528267376eger_o > set_complex ).

thf(tp_produc1086072967326762835nteger,type,
    produc1086072967326762835nteger: code_integer > code_integer > produc8923325533196201883nteger ).

thf(tp_produc1195630363706982562at_num,type,
    produc1195630363706982562at_num: nat > product_prod_nat_num > produc2963631642982155120at_num ).

thf(tp_produc1253318751659547953et_int,type,
    produc1253318751659547953et_int: ( code_integer > $o > set_int ) > produc6271795597528267376eger_o > set_int ).

thf(tp_produc1361121860356118632et_nat,type,
    produc1361121860356118632et_nat: ( num > num > set_nat ) > product_prod_num_num > set_nat ).

thf(tp_produc1435849484188172666t_real,type,
    produc1435849484188172666t_real: ( nat > num > set_real ) > product_prod_nat_num > set_real ).

thf(tp_produc1553301316500091796er_int,type,
    produc1553301316500091796er_int: ( code_integer > code_integer > int ) > produc8923325533196201883nteger > int ).

thf(tp_produc1555791787009142072er_nat,type,
    produc1555791787009142072er_nat: ( code_integer > code_integer > nat ) > produc8923325533196201883nteger > nat ).

thf(tp_produc1703576794950452218t_real,type,
    produc1703576794950452218t_real: ( nat > nat > real ) > product_prod_nat_nat > real ).

thf(tp_produc1917071388513777916omplex,type,
    produc1917071388513777916omplex: ( nat > nat > complex ) > product_prod_nat_nat > complex ).

thf(tp_produc242741666403216561t_real,type,
    produc242741666403216561t_real: ( code_integer > $o > set_real ) > produc6271795597528267376eger_o > set_real ).

thf(tp_produc2626176000494625587at_nat,type,
    produc2626176000494625587at_nat: ( nat > nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).

thf(tp_produc27273713700761075at_nat,type,
    produc27273713700761075at_nat: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(tp_produc2866383454006189126omplex,type,
    produc2866383454006189126omplex: ( num > num > set_complex ) > product_prod_num_num > set_complex ).

thf(tp_produc2899441246263362727at_nat,type,
    produc2899441246263362727at_nat: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > produc6121120109295599847at_nat > produc5542196010084753463at_nat ).

thf(tp_produc2982872950893828659T_VEBT,type,
    produc2982872950893828659T_VEBT: $o > vEBT_VEBT > produc2504756804600209347T_VEBT ).

thf(tp_produc3209952032786966637at_nat,type,
    produc3209952032786966637at_nat: ( nat > nat > nat ) > produc7248412053542808358at_nat > produc4471711990508489141at_nat ).

thf(tp_produc3576312749637752826on_num,type,
    produc3576312749637752826on_num: ( num > num > $o ) > produc3447558737645232053on_num > produc7036089656553540234on_num ).

thf(tp_produc3607205314601156340eger_o,type,
    produc3607205314601156340eger_o: list_Code_integer > list_o > list_P8526636022914148096eger_o ).

thf(tp_produc3994169339658061776at_nat,type,
    produc3994169339658061776at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > produc6121120109295599847at_nat > produc5491161045314408544at_nat ).

thf(tp_produc4035269172776083154on_nat,type,
    produc4035269172776083154on_nat: ( nat > nat > $o ) > produc4953844613479565601on_nat > produc2233624965454879586on_nat ).

thf(tp_produc4130284055270567454et_nat,type,
    produc4130284055270567454et_nat: ( nat > num > set_nat ) > product_prod_nat_num > set_nat ).

thf(tp_produc4245557441103728435nt_int,type,
    produc4245557441103728435nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).

thf(tp_produc4743750530478302277T_VEBT,type,
    produc4743750530478302277T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > list_P7413028617227757229T_VEBT ).

thf(tp_produc478579273971653890on_num,type,
    produc478579273971653890on_num: ( nat > num > option_num ) > product_prod_nat_num > option_num ).

thf(tp_produc487386426758144856at_nat,type,
    produc487386426758144856at_nat: nat > product_prod_nat_nat > produc7248412053542808358at_nat ).

thf(tp_produc488173922507101015at_nat,type,
    produc488173922507101015at_nat: option4927543243414619207at_nat > option4927543243414619207at_nat > produc6121120109295599847at_nat ).

thf(tp_produc4927758841916487424_num_o,type,
    produc4927758841916487424_num_o: ( nat > num > $o ) > product_prod_nat_num > $o ).

thf(tp_produc4947309494688390418_int_o,type,
    produc4947309494688390418_int_o: ( int > int > $o ) > product_prod_int_int > $o ).

thf(tp_produc5098337634421038937on_nat,type,
    produc5098337634421038937on_nat: option_nat > option_nat > produc4953844613479565601on_nat ).

thf(tp_produc537772716801021591T_VEBT,type,
    produc537772716801021591T_VEBT: vEBT_VEBT > vEBT_VEBT > produc8243902056947475879T_VEBT ).

thf(tp_produc5431169771168744661et_nat,type,
    produc5431169771168744661et_nat: ( code_integer > $o > set_nat ) > produc6271795597528267376eger_o > set_nat ).

thf(tp_produc5703948589228662326_num_o,type,
    produc5703948589228662326_num_o: ( num > num > $o ) > product_prod_num_num > $o ).

thf(tp_produc5778274026573060048on_num,type,
    produc5778274026573060048on_num: ( num > num > num ) > produc3447558737645232053on_num > produc1193250871479095198on_num ).

thf(tp_produc6081775807080527818_nat_o,type,
    produc6081775807080527818_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).

thf(tp_produc6207742614233964070at_rat,type,
    produc6207742614233964070at_rat: ( nat > nat > rat ) > product_prod_nat_nat > rat ).

thf(tp_produc6406642877701697732et_int,type,
    produc6406642877701697732et_int: ( num > num > set_int ) > product_prod_num_num > set_int ).

thf(tp_produc6499014454317279255nteger,type,
    produc6499014454317279255nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(tp_produc6677183202524767010eger_o,type,
    produc6677183202524767010eger_o: code_integer > $o > produc6271795597528267376eger_o ).

thf(tp_produc6840382203811409530at_int,type,
    produc6840382203811409530at_int: ( nat > nat > int ) > product_prod_nat_nat > int ).

thf(tp_produc6842872674320459806at_nat,type,
    produc6842872674320459806at_nat: ( nat > nat > nat ) > product_prod_nat_nat > nat ).

thf(tp_produc6916734918728496179nteger,type,
    produc6916734918728496179nteger: ( code_integer > code_integer > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(tp_produc7156399406898700509T_VEBT,type,
    produc7156399406898700509T_VEBT: list_nat > list_VEBT_VEBT > list_P5647936690300460905T_VEBT ).

thf(tp_produc7292646706713671643BT_int,type,
    produc7292646706713671643BT_int: list_VEBT_VEBT > list_int > list_P4547456442757143711BT_int ).

thf(tp_produc7295137177222721919BT_nat,type,
    produc7295137177222721919BT_nat: list_VEBT_VEBT > list_nat > list_P7037539587688870467BT_nat ).

thf(tp_produc7336495610019696514er_num,type,
    produc7336495610019696514er_num: ( code_integer > code_integer > num ) > produc8923325533196201883nteger > num ).

thf(tp_produc736041933913180425BT_int,type,
    produc736041933913180425BT_int: vEBT_VEBT > int > produc4894624898956917775BT_int ).

thf(tp_produc738532404422230701BT_nat,type,
    produc738532404422230701BT_nat: vEBT_VEBT > nat > produc9072475918466114483BT_nat ).

thf(tp_produc7828578312038201481er_o_o,type,
    produc7828578312038201481er_o_o: ( code_integer > $o > $o ) > produc6271795597528267376eger_o > $o ).

thf(tp_produc8211389475949308722nt_int,type,
    produc8211389475949308722nt_int: ( int > int > int ) > product_prod_int_int > int ).

thf(tp_produc8296048397933160132t_real,type,
    produc8296048397933160132t_real: ( num > num > set_real ) > product_prod_num_num > set_real ).

thf(tp_produc851828971589881931at_num,type,
    produc851828971589881931at_num: ( nat > num > num ) > produc2963631642982155120at_num > produc3368934014287244435at_num ).

thf(tp_produc8585076106096196333on_num,type,
    produc8585076106096196333on_num: option_num > option_num > produc3447558737645232053on_num ).

thf(tp_produc8721562602347293563VEBT_o,type,
    produc8721562602347293563VEBT_o: vEBT_VEBT > $o > produc334124729049499915VEBT_o ).

thf(tp_produc8739625826339149834_nat_o,type,
    produc8739625826339149834_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(tp_produc8929957630744042906on_nat,type,
    produc8929957630744042906on_nat: ( nat > nat > nat ) > produc4953844613479565601on_nat > produc8306885398267862888on_nat ).

thf(tp_produc9125791028180074456eger_o,type,
    produc9125791028180074456eger_o: ( code_integer > code_integer > produc6271795597528267376eger_o ) > produc8923325533196201883nteger > produc6271795597528267376eger_o ).

thf(tp_product_Pair_int_int,type,
    product_Pair_int_int: int > int > product_prod_int_int ).

thf(tp_product_Pair_nat_nat,type,
    product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).

thf(tp_product_Pair_nat_num,type,
    product_Pair_nat_num: nat > num > product_prod_nat_num ).

thf(tp_product_Pair_num_num,type,
    product_Pair_num_num: num > num > product_prod_num_num ).

thf(tp_product_Pair_o_int,type,
    product_Pair_o_int: $o > int > product_prod_o_int ).

thf(tp_product_Pair_o_nat,type,
    product_Pair_o_nat: $o > nat > product_prod_o_nat ).

thf(tp_product_Pair_o_o,type,
    product_Pair_o_o: $o > $o > product_prod_o_o ).

thf(tp_product_VEBT_VEBT_o,type,
    product_VEBT_VEBT_o: list_VEBT_VEBT > list_o > list_P3126845725202233233VEBT_o ).

thf(tp_product_fst_int_int,type,
    product_fst_int_int: product_prod_int_int > int ).

thf(tp_product_fst_nat_nat,type,
    product_fst_nat_nat: product_prod_nat_nat > nat ).

thf(tp_product_nat_o,type,
    product_nat_o: list_nat > list_o > list_P7333126701944960589_nat_o ).

thf(tp_product_num_num,type,
    product_num_num: list_num > list_num > list_P3744719386663036955um_num ).

thf(tp_product_o_VEBT_VEBT,type,
    product_o_VEBT_VEBT: list_o > list_VEBT_VEBT > list_P7495141550334521929T_VEBT ).

thf(tp_product_o_int,type,
    product_o_int: list_o > list_int > list_P3795440434834930179_o_int ).

thf(tp_product_o_nat,type,
    product_o_nat: list_o > list_nat > list_P6285523579766656935_o_nat ).

thf(tp_product_o_o,type,
    product_o_o: list_o > list_o > list_P4002435161011370285od_o_o ).

thf(tp_product_snd_int_int,type,
    product_snd_int_int: product_prod_int_int > int ).

thf(tp_product_snd_nat_nat,type,
    product_snd_nat_nat: product_prod_nat_nat > nat ).

thf(tp_quotient_of,type,
    quotient_of: rat > product_prod_int_int ).

thf(tp_re,type,
    re: complex > real ).

thf(tp_real_V1022390504157884413omplex,type,
    real_V1022390504157884413omplex: complex > real ).

thf(tp_real_V1485227260804924795R_real,type,
    real_V1485227260804924795R_real: real > real > real ).

thf(tp_real_V2046097035970521341omplex,type,
    real_V2046097035970521341omplex: real > complex > complex ).

thf(tp_real_V2521375963428798218omplex,type,
    real_V2521375963428798218omplex: set_complex ).

thf(tp_real_V3694042436643373181omplex,type,
    real_V3694042436643373181omplex: complex > complex > real ).

thf(tp_real_V4546457046886955230omplex,type,
    real_V4546457046886955230omplex: real > complex ).

thf(tp_real_V5970128139526366754l_real,type,
    real_V5970128139526366754l_real: ( real > real ) > $o ).

thf(tp_real_V7735802525324610683m_real,type,
    real_V7735802525324610683m_real: real > real ).

thf(tp_real_V975177566351809787t_real,type,
    real_V975177566351809787t_real: real > real > real ).

thf(tp_remdups_nat,type,
    remdups_nat: list_nat > list_nat ).

thf(tp_rep_Integ,type,
    rep_Integ: int > product_prod_nat_nat ).

thf(tp_replicate_VEBT_VEBT,type,
    replicate_VEBT_VEBT: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(tp_replicate_complex,type,
    replicate_complex: nat > complex > list_complex ).

thf(tp_replicate_int,type,
    replicate_int: nat > int > list_int ).

thf(tp_replicate_nat,type,
    replicate_nat: nat > nat > list_nat ).

thf(tp_replicate_o,type,
    replicate_o: nat > $o > list_o ).

thf(tp_replicate_real,type,
    replicate_real: nat > real > list_real ).

thf(tp_res,type,
    res: nat ).

thf(tp_ring_17405671764205052669omplex,type,
    ring_17405671764205052669omplex: int > complex ).

thf(tp_ring_18347121197199848620nteger,type,
    ring_18347121197199848620nteger: int > code_integer ).

thf(tp_ring_1_Ints_real,type,
    ring_1_Ints_real: set_real ).

thf(tp_ring_1_of_int_int,type,
    ring_1_of_int_int: int > int ).

thf(tp_ring_1_of_int_rat,type,
    ring_1_of_int_rat: int > rat ).

thf(tp_ring_1_of_int_real,type,
    ring_1_of_int_real: int > real ).

thf(tp_root,type,
    root: nat > real > real ).

thf(tp_sK1_SY138,type,
    sK1_SY138: num > num ).

thf(tp_sK2_SY161,type,
    sK2_SY161: num > ( num > $o ) > num ).

thf(tp_sK3_SY139,type,
    sK3_SY139: num > num ).

thf(tp_semila1623282765462674594er_nat,type,
    semila1623282765462674594er_nat: ( nat > nat > nat ) > nat > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(tp_semiri1314217659103216013at_int,type,
    semiri1314217659103216013at_int: nat > int ).

thf(tp_semiri1316708129612266289at_nat,type,
    semiri1316708129612266289at_nat: nat > nat ).

thf(tp_semiri1406184849735516958ct_int,type,
    semiri1406184849735516958ct_int: nat > int ).

thf(tp_semiri1408675320244567234ct_nat,type,
    semiri1408675320244567234ct_nat: nat > nat ).

thf(tp_semiri2265585572941072030t_real,type,
    semiri2265585572941072030t_real: nat > real ).

thf(tp_semiri2816024913162550771omplex,type,
    semiri2816024913162550771omplex: ( complex > complex ) > nat > complex > complex ).

thf(tp_semiri3624122377584611663nteger,type,
    semiri3624122377584611663nteger: nat > code_integer ).

thf(tp_semiri4216267220026989637d_enat,type,
    semiri4216267220026989637d_enat: nat > extended_enat ).

thf(tp_semiri4939895301339042750nteger,type,
    semiri4939895301339042750nteger: nat > code_integer ).

thf(tp_semiri5044797733671781792omplex,type,
    semiri5044797733671781792omplex: nat > complex ).

thf(tp_semiri5074537144036343181t_real,type,
    semiri5074537144036343181t_real: nat > real ).

thf(tp_semiri681578069525770553at_rat,type,
    semiri681578069525770553at_rat: nat > rat ).

thf(tp_semiri7260567687927622513x_real,type,
    semiri7260567687927622513x_real: ( real > real ) > nat > real > real ).

thf(tp_semiri773545260158071498ct_rat,type,
    semiri773545260158071498ct_rat: nat > rat ).

thf(tp_semiri7787848453975740701ux_rat,type,
    semiri7787848453975740701ux_rat: ( rat > rat ) > nat > rat > rat ).

thf(tp_semiri8010041392384452111omplex,type,
    semiri8010041392384452111omplex: nat > complex ).

thf(tp_semiri8420488043553186161ux_int,type,
    semiri8420488043553186161ux_int: ( int > int ) > nat > int > int ).

thf(tp_semiri8422978514062236437ux_nat,type,
    semiri8422978514062236437ux_nat: ( nat > nat ) > nat > nat > nat ).

thf(tp_set_VEBT_VEBT2,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

thf(tp_set_complex2,type,
    set_complex2: list_complex > set_complex ).

thf(tp_set_fo1517530859248394432omplex,type,
    set_fo1517530859248394432omplex: ( nat > complex > complex ) > nat > nat > complex > complex ).

thf(tp_set_fo1949268297981939178at_rat,type,
    set_fo1949268297981939178at_rat: ( nat > rat > rat ) > nat > nat > rat > rat ).

thf(tp_set_fo256927282339908995el_num,type,
    set_fo256927282339908995el_num: produc3368934014287244435at_num > produc3368934014287244435at_num > $o ).

thf(tp_set_fo2581907887559384638at_int,type,
    set_fo2581907887559384638at_int: ( nat > int > int ) > nat > nat > int > int ).

thf(tp_set_fo2584398358068434914at_nat,type,
    set_fo2584398358068434914at_nat: ( nat > nat > nat ) > nat > nat > nat > nat ).

thf(tp_set_fo3111899725591712190t_real,type,
    set_fo3111899725591712190t_real: ( nat > real > real ) > nat > nat > real > real ).

thf(tp_set_fo3699595496184130361el_nat,type,
    set_fo3699595496184130361el_nat: produc4471711990508489141at_nat > produc4471711990508489141at_nat > $o ).

thf(tp_set_fo8365102181078989356at_num,type,
    set_fo8365102181078989356at_num: ( nat > num > num ) > nat > nat > num > num ).

thf(tp_set_int2,type,
    set_int2: list_int > set_int ).

thf(tp_set_list_nat2,type,
    set_list_nat2: list_list_nat > set_list_nat ).

thf(tp_set_nat2,type,
    set_nat2: list_nat > set_nat ).

thf(tp_set_o2,type,
    set_o2: list_o > set_o ).

thf(tp_set_or1210151606488870762an_nat,type,
    set_or1210151606488870762an_nat: nat > set_nat ).

thf(tp_set_or1222579329274155063t_real,type,
    set_or1222579329274155063t_real: real > real > set_real ).

thf(tp_set_or1266510415728281911st_int,type,
    set_or1266510415728281911st_int: int > int > set_int ).

thf(tp_set_or1269000886237332187st_nat,type,
    set_or1269000886237332187st_nat: nat > nat > set_nat ).

thf(tp_set_or1633881224788618240n_real,type,
    set_or1633881224788618240n_real: real > real > set_real ).

thf(tp_set_or370866239135849197et_int,type,
    set_or370866239135849197et_int: set_int > set_int > set_set_int ).

thf(tp_set_or4662586982721622107an_int,type,
    set_or4662586982721622107an_int: int > int > set_int ).

thf(tp_set_or4665077453230672383an_nat,type,
    set_or4665077453230672383an_nat: nat > nat > set_nat ).

thf(tp_set_or5832277885323065728an_int,type,
    set_or5832277885323065728an_int: int > int > set_int ).

thf(tp_set_or5834768355832116004an_nat,type,
    set_or5834768355832116004an_nat: nat > nat > set_nat ).

thf(tp_set_or5849166863359141190n_real,type,
    set_or5849166863359141190n_real: real > set_real ).

thf(tp_set_or58775011639299419et_int,type,
    set_or58775011639299419et_int: set_int > set_set_int ).

thf(tp_set_or5984915006950818249n_real,type,
    set_or5984915006950818249n_real: real > set_real ).

thf(tp_set_or633870826150836451st_rat,type,
    set_or633870826150836451st_rat: rat > rat > set_rat ).

thf(tp_set_or6656581121297822940st_int,type,
    set_or6656581121297822940st_int: int > int > set_int ).

thf(tp_set_or6659071591806873216st_nat,type,
    set_or6659071591806873216st_nat: nat > nat > set_nat ).

thf(tp_set_or7049704709247886629st_num,type,
    set_or7049704709247886629st_num: num > num > set_num ).

thf(tp_set_or8419480210114673929d_enat,type,
    set_or8419480210114673929d_enat: extended_enat > set_Extended_enat ).

thf(tp_set_ord_atLeast_nat,type,
    set_ord_atLeast_nat: nat > set_nat ).

thf(tp_set_ord_atLeast_real,type,
    set_ord_atLeast_real: real > set_real ).

thf(tp_set_ord_atMost_int,type,
    set_ord_atMost_int: int > set_int ).

thf(tp_set_ord_atMost_nat,type,
    set_ord_atMost_nat: nat > set_nat ).

thf(tp_set_ord_atMost_num,type,
    set_ord_atMost_num: num > set_num ).

thf(tp_set_ord_atMost_rat,type,
    set_ord_atMost_rat: rat > set_rat ).

thf(tp_set_ord_atMost_real,type,
    set_ord_atMost_real: real > set_real ).

thf(tp_set_ord_lessThan_int,type,
    set_ord_lessThan_int: int > set_int ).

thf(tp_set_ord_lessThan_nat,type,
    set_ord_lessThan_nat: nat > set_nat ).

thf(tp_set_ord_lessThan_num,type,
    set_ord_lessThan_num: num > set_num ).

thf(tp_set_ord_lessThan_rat,type,
    set_ord_lessThan_rat: rat > set_rat ).

thf(tp_set_real2,type,
    set_real2: list_real > set_real ).

thf(tp_sgn_sgn_Code_integer,type,
    sgn_sgn_Code_integer: code_integer > code_integer ).

thf(tp_sgn_sgn_complex,type,
    sgn_sgn_complex: complex > complex ).

thf(tp_sgn_sgn_int,type,
    sgn_sgn_int: int > int ).

thf(tp_sgn_sgn_rat,type,
    sgn_sgn_rat: rat > rat ).

thf(tp_sgn_sgn_real,type,
    sgn_sgn_real: real > real ).

thf(tp_sin_coeff,type,
    sin_coeff: nat > real ).

thf(tp_sin_complex,type,
    sin_complex: complex > complex ).

thf(tp_sin_real,type,
    sin_real: real > real ).

thf(tp_sinh_real,type,
    sinh_real: real > real ).

thf(tp_size_list_VEBT_VEBT,type,
    size_list_VEBT_VEBT: ( vEBT_VEBT > nat ) > list_VEBT_VEBT > nat ).

thf(tp_size_num,type,
    size_num: num > nat ).

thf(tp_size_o8335143837870341156at_nat,type,
    size_o8335143837870341156at_nat: ( product_prod_nat_nat > nat ) > option4927543243414619207at_nat > nat ).

thf(tp_size_option_nat,type,
    size_option_nat: ( nat > nat ) > option_nat > nat ).

thf(tp_size_option_num,type,
    size_option_num: ( num > nat ) > option_num > nat ).

thf(tp_size_s1515746228057227161od_o_o,type,
    size_s1515746228057227161od_o_o: list_P4002435161011370285od_o_o > nat ).

thf(tp_size_s170228958280169651at_nat,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

thf(tp_size_s2953683556165314199_o_int,type,
    size_s2953683556165314199_o_int: list_P3795440434834930179_o_int > nat ).

thf(tp_size_s3023201423986296836st_nat,type,
    size_s3023201423986296836st_nat: list_list_nat > nat ).

thf(tp_size_s3445333598471063425nteger,type,
    size_s3445333598471063425nteger: list_Code_integer > nat ).

thf(tp_size_s3451745648224563538omplex,type,
    size_s3451745648224563538omplex: list_complex > nat ).

thf(tp_size_s3661962791536183091BT_int,type,
    size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).

thf(tp_size_s4313452262239582901T_VEBT,type,
    size_s4313452262239582901T_VEBT: list_P7495141550334521929T_VEBT > nat ).

thf(tp_size_s4762443039079500285T_VEBT,type,
    size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).

thf(tp_size_s5443766701097040955_o_nat,type,
    size_s5443766701097040955_o_nat: list_P6285523579766656935_o_nat > nat ).

thf(tp_size_s6152045936467909847BT_nat,type,
    size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).

thf(tp_size_s6491369823275344609_nat_o,type,
    size_s6491369823275344609_nat_o: list_P7333126701944960589_nat_o > nat ).

thf(tp_size_s6755466524823107622T_VEBT,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

thf(tp_size_s7466405169056248089T_VEBT,type,
    size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).

thf(tp_size_s9168528473962070013VEBT_o,type,
    size_s9168528473962070013VEBT_o: list_P3126845725202233233VEBT_o > nat ).

thf(tp_size_size_VEBT_VEBT,type,
    size_size_VEBT_VEBT: vEBT_VEBT > nat ).

thf(tp_size_size_char,type,
    size_size_char: char > nat ).

thf(tp_size_size_list_int,type,
    size_size_list_int: list_int > nat ).

thf(tp_size_size_list_nat,type,
    size_size_list_nat: list_nat > nat ).

thf(tp_size_size_list_num,type,
    size_size_list_num: list_num > nat ).

thf(tp_size_size_list_o,type,
    size_size_list_o: list_o > nat ).

thf(tp_size_size_list_real,type,
    size_size_list_real: list_real > nat ).

thf(tp_size_size_num,type,
    size_size_num: num > nat ).

thf(tp_size_size_option_nat,type,
    size_size_option_nat: option_nat > nat ).

thf(tp_size_size_option_num,type,
    size_size_option_num: option_num > nat ).

thf(tp_some_P7363390416028606310at_nat,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

thf(tp_some_nat,type,
    some_nat: nat > option_nat ).

thf(tp_some_num,type,
    some_num: num > option_num ).

thf(tp_sorted_wrt_int,type,
    sorted_wrt_int: ( int > int > $o ) > list_int > $o ).

thf(tp_sorted_wrt_nat,type,
    sorted_wrt_nat: ( nat > nat > $o ) > list_nat > $o ).

thf(tp_sqr,type,
    sqr: num > num ).

thf(tp_sqrt,type,
    sqrt: real > real ).

thf(tp_strict1292158309912662752at_nat,type,
    strict1292158309912662752at_nat: ( nat > nat ) > set_nat > $o ).

thf(tp_suc,type,
    suc: nat > nat ).

thf(tp_suminf_complex,type,
    suminf_complex: ( nat > complex ) > complex ).

thf(tp_suminf_int,type,
    suminf_int: ( nat > int ) > int ).

thf(tp_suminf_nat,type,
    suminf_nat: ( nat > nat ) > nat ).

thf(tp_suminf_real,type,
    suminf_real: ( nat > real ) > real ).

thf(tp_summable_complex,type,
    summable_complex: ( nat > complex ) > $o ).

thf(tp_summable_int,type,
    summable_int: ( nat > int ) > $o ).

thf(tp_summable_nat,type,
    summable_nat: ( nat > nat ) > $o ).

thf(tp_summable_real,type,
    summable_real: ( nat > real ) > $o ).

thf(tp_summary,type,
    summary: vEBT_VEBT ).

thf(tp_sums_complex,type,
    sums_complex: ( nat > complex ) > complex > $o ).

thf(tp_sums_int,type,
    sums_int: ( nat > int ) > int > $o ).

thf(tp_sums_nat,type,
    sums_nat: ( nat > nat ) > nat > $o ).

thf(tp_sums_real,type,
    sums_real: ( nat > real ) > real > $o ).

thf(tp_sup_su3973961784419623482d_enat,type,
    sup_su3973961784419623482d_enat: extended_enat > extended_enat > extended_enat ).

thf(tp_sup_sup_nat,type,
    sup_sup_nat: nat > nat > nat ).

thf(tp_sup_sup_set_nat,type,
    sup_sup_set_nat: set_nat > set_nat > set_nat ).

thf(tp_tan_complex,type,
    tan_complex: complex > complex ).

thf(tp_tan_real,type,
    tan_real: real > real ).

thf(tp_tanh_complex,type,
    tanh_complex: complex > complex ).

thf(tp_tanh_real,type,
    tanh_real: real > real ).

thf(tp_the_Pr8591224930841456533at_nat,type,
    the_Pr8591224930841456533at_nat: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(tp_the_in5290026491893676941l_real,type,
    the_in5290026491893676941l_real: set_real > ( real > real ) > real > real ).

thf(tp_the_int,type,
    the_int: ( int > $o ) > int ).

thf(tp_the_nat,type,
    the_nat: option_nat > nat ).

thf(tp_the_num,type,
    the_num: option_num > num ).

thf(tp_the_real,type,
    the_real: ( real > $o ) > real ).

thf(tp_times_3573771949741848930nteger,type,
    times_3573771949741848930nteger: code_integer > code_integer > code_integer ).

thf(tp_times_7803423173614009249d_enat,type,
    times_7803423173614009249d_enat: extended_enat > extended_enat > extended_enat ).

thf(tp_times_times_complex,type,
    times_times_complex: complex > complex > complex ).

thf(tp_times_times_int,type,
    times_times_int: int > int > int ).

thf(tp_times_times_nat,type,
    times_times_nat: nat > nat > nat ).

thf(tp_times_times_num,type,
    times_times_num: num > num > num ).

thf(tp_times_times_rat,type,
    times_times_rat: rat > rat > rat ).

thf(tp_times_times_real,type,
    times_times_real: real > real > real ).

thf(tp_tl_nat,type,
    tl_nat: list_nat > list_nat ).

thf(tp_top_to1996260823553986621t_unit,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

thf(tp_top_top_set_char,type,
    top_top_set_char: set_char ).

thf(tp_top_top_set_nat,type,
    top_top_set_nat: set_nat ).

thf(tp_top_top_set_o,type,
    top_top_set_o: set_o ).

thf(tp_top_top_set_real,type,
    top_top_set_real: set_real ).

thf(tp_topolo1459490580787246023eq_num,type,
    topolo1459490580787246023eq_num: ( nat > num ) > $o ).

thf(tp_topolo2177554685111907308n_real,type,
    topolo2177554685111907308n_real: real > set_real > filter_real ).

thf(tp_topolo2815343760600316023s_real,type,
    topolo2815343760600316023s_real: real > filter_real ).

thf(tp_topolo3100542954746470799et_int,type,
    topolo3100542954746470799et_int: ( nat > set_int ) > $o ).

thf(tp_topolo4055970368930404560y_real,type,
    topolo4055970368930404560y_real: ( nat > real ) > $o ).

thf(tp_topolo4267028734544971653eq_rat,type,
    topolo4267028734544971653eq_rat: ( nat > rat ) > $o ).

thf(tp_topolo4422821103128117721l_real,type,
    topolo4422821103128117721l_real: filter_real > ( real > real ) > $o ).

thf(tp_topolo4899668324122417113eq_int,type,
    topolo4899668324122417113eq_int: ( nat > int ) > $o ).

thf(tp_topolo4902158794631467389eq_nat,type,
    topolo4902158794631467389eq_nat: ( nat > nat ) > $o ).

thf(tp_topolo5044208981011980120l_real,type,
    topolo5044208981011980120l_real: set_real > ( real > real ) > $o ).

thf(tp_topolo6980174941875973593q_real,type,
    topolo6980174941875973593q_real: ( nat > real ) > $o ).

thf(tp_treeList,type,
    treeList: list_VEBT_VEBT ).

thf(tp_uminus1351360451143612070nteger,type,
    uminus1351360451143612070nteger: code_integer > code_integer ).

thf(tp_uminus1482373934393186551omplex,type,
    uminus1482373934393186551omplex: complex > complex ).

thf(tp_uminus1532241313380277803et_int,type,
    uminus1532241313380277803et_int: set_int > set_int ).

thf(tp_uminus5710092332889474511et_nat,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

thf(tp_uminus612125837232591019t_real,type,
    uminus612125837232591019t_real: set_real > set_real ).

thf(tp_uminus_uminus_int,type,
    uminus_uminus_int: int > int ).

thf(tp_uminus_uminus_rat,type,
    uminus_uminus_rat: rat > rat ).

thf(tp_uminus_uminus_real,type,
    uminus_uminus_real: real > real ).

thf(tp_unique3096191561947761185of_nat,type,
    unique3096191561947761185of_nat: nat > char ).

thf(tp_unique3479559517661332726nteger,type,
    unique3479559517661332726nteger: num > num > produc8923325533196201883nteger ).

thf(tp_unique4921790084139445826nteger,type,
    unique4921790084139445826nteger: num > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(tp_unique5024387138958732305ep_int,type,
    unique5024387138958732305ep_int: num > product_prod_int_int > product_prod_int_int ).

thf(tp_unique5026877609467782581ep_nat,type,
    unique5026877609467782581ep_nat: num > product_prod_nat_nat > product_prod_nat_nat ).

thf(tp_unique5052692396658037445od_int,type,
    unique5052692396658037445od_int: num > num > product_prod_int_int ).

thf(tp_unique5055182867167087721od_nat,type,
    unique5055182867167087721od_nat: num > num > product_prod_nat_nat ).

thf(tp_unique5706413561485394159nteger,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

thf(tp_unique6319869463603278526ux_int,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

thf(tp_unique6322359934112328802ux_nat,type,
    unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).

thf(tp_upt,type,
    upt: nat > nat > list_nat ).

thf(tp_upto,type,
    upto: int > int > list_int ).

thf(tp_upto_aux,type,
    upto_aux: int > int > list_int > list_int ).

thf(tp_upto_rel,type,
    upto_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(tp_vEBT_Leaf,type,
    vEBT_Leaf: $o > $o > vEBT_VEBT ).

thf(tp_vEBT_Node,type,
    vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(tp_vEBT_V1502963449132264192at_nat,type,
    vEBT_V1502963449132264192at_nat: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > option4927543243414619207at_nat > option4927543243414619207at_nat > option4927543243414619207at_nat ).

thf(tp_vEBT_V3895251965096974666el_nat,type,
    vEBT_V3895251965096974666el_nat: produc8306885398267862888on_nat > produc8306885398267862888on_nat > $o ).

thf(tp_vEBT_V4262088993061758097ft_nat,type,
    vEBT_V4262088993061758097ft_nat: ( nat > nat > nat ) > option_nat > option_nat > option_nat ).

thf(tp_vEBT_V4351362008482014158ma_rel,type,
    vEBT_V4351362008482014158ma_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(tp_vEBT_V452583751252753300el_num,type,
    vEBT_V452583751252753300el_num: produc1193250871479095198on_num > produc1193250871479095198on_num > $o ).

thf(tp_vEBT_V5719532721284313246member,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > nat > $o ).

thf(tp_vEBT_V5765760719290551771er_rel,type,
    vEBT_V5765760719290551771er_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(tp_vEBT_V5917875025757280293ildren,type,
    vEBT_V5917875025757280293ildren: nat > list_VEBT_VEBT > nat > $o ).

thf(tp_vEBT_V6963167321098673237ll_rel,type,
    vEBT_V6963167321098673237ll_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(tp_vEBT_V7235779383477046023at_nat,type,
    vEBT_V7235779383477046023at_nat: produc5542196010084753463at_nat > produc5542196010084753463at_nat > $o ).

thf(tp_vEBT_V819420779217536731ft_num,type,
    vEBT_V819420779217536731ft_num: ( num > num > num ) > option_num > option_num > option_num ).

thf(tp_vEBT_V8194947554948674370ptions,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).

thf(tp_vEBT_VEBT_add,type,
    vEBT_VEBT_add: option_nat > option_nat > option_nat ).

thf(tp_vEBT_VEBT_bit_concat,type,
    vEBT_VEBT_bit_concat: nat > nat > nat > nat ).

thf(tp_vEBT_VEBT_greater,type,
    vEBT_VEBT_greater: option_nat > option_nat > $o ).

thf(tp_vEBT_VEBT_high,type,
    vEBT_VEBT_high: nat > nat > nat ).

thf(tp_vEBT_VEBT_less,type,
    vEBT_VEBT_less: option_nat > option_nat > $o ).

thf(tp_vEBT_VEBT_lesseq,type,
    vEBT_VEBT_lesseq: option_nat > option_nat > $o ).

thf(tp_vEBT_VEBT_low,type,
    vEBT_VEBT_low: nat > nat > nat ).

thf(tp_vEBT_VEBT_max_in_set,type,
    vEBT_VEBT_max_in_set: set_nat > nat > $o ).

thf(tp_vEBT_VEBT_membermima,type,
    vEBT_VEBT_membermima: vEBT_VEBT > nat > $o ).

thf(tp_vEBT_VEBT_minNull,type,
    vEBT_VEBT_minNull: vEBT_VEBT > $o ).

thf(tp_vEBT_VEBT_min_in_set,type,
    vEBT_VEBT_min_in_set: set_nat > nat > $o ).

thf(tp_vEBT_VEBT_mul,type,
    vEBT_VEBT_mul: option_nat > option_nat > option_nat ).

thf(tp_vEBT_VEBT_power,type,
    vEBT_VEBT_power: option_nat > option_nat > option_nat ).

thf(tp_vEBT_VEBT_set_vebt,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

thf(tp_vEBT_VEBT_valid,type,
    vEBT_VEBT_valid: vEBT_VEBT > nat > $o ).

thf(tp_vEBT_VEBT_valid_rel,type,
    vEBT_VEBT_valid_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(tp_vEBT_invar_vebt,type,
    vEBT_invar_vebt: vEBT_VEBT > nat > $o ).

thf(tp_vEBT_is_pred_in_set,type,
    vEBT_is_pred_in_set: set_nat > nat > nat > $o ).

thf(tp_vEBT_set_vebt,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

thf(tp_vEBT_size_VEBT,type,
    vEBT_size_VEBT: vEBT_VEBT > nat ).

thf(tp_vEBT_v4011308405150292612up_rel,type,
    vEBT_v4011308405150292612up_rel: nat > nat > $o ).

thf(tp_vEBT_vebt_buildup,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

thf(tp_vEBT_vebt_insert,type,
    vEBT_vebt_insert: vEBT_VEBT > nat > vEBT_VEBT ).

thf(tp_vEBT_vebt_insert_rel,type,
    vEBT_vebt_insert_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(tp_vEBT_vebt_maxt,type,
    vEBT_vebt_maxt: vEBT_VEBT > option_nat ).

thf(tp_vEBT_vebt_maxt_rel,type,
    vEBT_vebt_maxt_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(tp_vEBT_vebt_member,type,
    vEBT_vebt_member: vEBT_VEBT > nat > $o ).

thf(tp_vEBT_vebt_member_rel,type,
    vEBT_vebt_member_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(tp_vEBT_vebt_mint,type,
    vEBT_vebt_mint: vEBT_VEBT > option_nat ).

thf(tp_vEBT_vebt_mint_rel,type,
    vEBT_vebt_mint_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(tp_vEBT_vebt_pred,type,
    vEBT_vebt_pred: vEBT_VEBT > nat > option_nat ).

thf(tp_vEBT_vebt_pred_rel,type,
    vEBT_vebt_pred_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(tp_xa,type,
    xa: nat ).

thf(tp_za,type,
    za: nat ).

thf(tp_zero_n1201886186963655149omplex,type,
    zero_n1201886186963655149omplex: $o > complex ).

thf(tp_zero_n2052037380579107095ol_rat,type,
    zero_n2052037380579107095ol_rat: $o > rat ).

thf(tp_zero_n2684676970156552555ol_int,type,
    zero_n2684676970156552555ol_int: $o > int ).

thf(tp_zero_n2687167440665602831ol_nat,type,
    zero_n2687167440665602831ol_nat: $o > nat ).

thf(tp_zero_n3304061248610475627l_real,type,
    zero_n3304061248610475627l_real: $o > real ).

thf(tp_zero_n356916108424825756nteger,type,
    zero_n356916108424825756nteger: $o > code_integer ).

thf(tp_zero_z3403309356797280102nteger,type,
    zero_z3403309356797280102nteger: code_integer ).

thf(tp_zero_z5237406670263579293d_enat,type,
    zero_z5237406670263579293d_enat: extended_enat ).

thf(tp_zero_zero_complex,type,
    zero_zero_complex: complex ).

thf(tp_zero_zero_int,type,
    zero_zero_int: int ).

thf(tp_zero_zero_nat,type,
    zero_zero_nat: nat ).

thf(tp_zero_zero_rat,type,
    zero_zero_rat: rat ).

thf(tp_zero_zero_real,type,
    zero_zero_real: real ).

thf(3,axiom,
    ! [P: $o] :
      ( ( P = $true )
      | ( P = $false ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T) ).

thf(399,axiom,
    ! [N: num] :
      ( ( sqr @ ( bit0 @ N ) )
      = ( bit0 @ ( bit0 @ ( sqr @ N ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9848_sqr_Osimps_I2_J) ).

thf(400,axiom,
    ( ( sqr @ one )
    = one ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9847_sqr_Osimps_I1_J) ).

thf(407,axiom,
    ! [Q2: num] :
      ( ( num_of_nat @ ( numeral_numeral_nat @ Q2 ) )
      = Q2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9840_num__of__nat__numeral__eq) ).

thf(784,axiom,
    ! [N: num] :
      ( ( bit_or_not_num_neg @ ( bit0 @ N ) @ one )
      = ( bit0 @ one ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9463_or__not__num__neg_Osimps_I4_J) ).

thf(787,axiom,
    ( ( bit_or_not_num_neg @ one @ one )
    = one ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9460_or__not__num__neg_Osimps_I1_J) ).

thf(822,axiom,
    ! [X: num] :
      ( ( pow @ X @ one )
      = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9425_pow_Osimps_I1_J) ).

thf(870,axiom,
    ( ( inc @ one )
    = ( bit0 @ one ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9377_inc_Osimps_I1_J) ).

thf(877,axiom,
    ! [P: num > $o,X: num] :
      ( ( P @ one )
     => ( ! [X3: num] :
            ( ( P @ X3 )
           => ( P @ ( inc @ X3 ) ) )
       => ( P @ X ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9370_num__induct) ).

thf(1286,axiom,
    ( ( bitM @ one )
    = one ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8961_semiring__norm_I26_J) ).

thf(2267,axiom,
    ( ( semiri1408675320244567234ct_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
    = ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7980_fact__2) ).

thf(3012,axiom,
    ! [M: nat,N: nat] :
      ( ( semiri1316708129612266289at_nat @ ( divide_divide_nat @ M @ N ) )
      = ( divide_divide_nat @ ( semiri1316708129612266289at_nat @ M ) @ ( semiri1316708129612266289at_nat @ N ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7235_unique__euclidean__semiring__with__nat__class_Oof__nat__div) ).

thf(3343,axiom,
    ! [N: num] :
      ( ( semiri1316708129612266289at_nat @ ( numeral_numeral_nat @ N ) )
      = ( numeral_numeral_nat @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6904_of__nat__numeral) ).

thf(3589,axiom,
    ! [N: num] :
      ( ( divide_divide_nat @ ( numeral_numeral_nat @ ( bit1 @ N ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
      = ( numeral_numeral_nat @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6658_numeral__Bit1__div__2) ).

thf(3718,axiom,
    ! [Y2: num] :
      ( ( Y2 != one )
     => ( ! [X23: num] :
            ( Y2
           != ( bit0 @ X23 ) )
       => ~ ! [X33: num] :
              ( Y2
             != ( bit1 @ X33 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6529_num_Oexhaust) ).

thf(3774,axiom,
    ! [X32: num] :
      ( one
     != ( bit1 @ X32 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6473_verit__eq__simplify_I12_J) ).

thf(3775,axiom,
    ! [X22: num,X32: num] :
      ( ( bit0 @ X22 )
     != ( bit1 @ X32 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6472_verit__eq__simplify_I14_J) ).

thf(3916,axiom,
    ! [N: num] :
      ( one
     != ( bit1 @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6331_semiring__norm_I84_J) ).

thf(3917,axiom,
    ! [M: num] :
      ( ( bit1 @ M )
     != one ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6330_semiring__norm_I86_J) ).

thf(3918,axiom,
    ! [M: num,N: num] :
      ( ( bit0 @ M )
     != ( bit1 @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6329_semiring__norm_I88_J) ).

thf(3919,axiom,
    ! [M: num,N: num] :
      ( ( bit1 @ M )
     != ( bit0 @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6328_semiring__norm_I89_J) ).

thf(5325,axiom,
    ! [X: nat,Y2: nat] :
      ( ( ( divide_divide_nat @ X @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
        = ( divide_divide_nat @ Y2 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
     => ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ X )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ Y2 ) )
       => ( X = Y2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4922_div2__even__ext__nat) ).

thf(5337,axiom,
    ( ( ^ [Y5: nat,Z4: nat] : ( Y5 = Z4 ) )
    = ( ^ [A3: nat,B2: nat] :
          ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ A3 )
            = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ B2 ) )
          & ( ( divide_divide_nat @ A3 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
            = ( divide_divide_nat @ B2 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4910_bit__eq__rec) ).

thf(5402,axiom,
    ! [N: num] : ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( numeral_numeral_nat @ ( bit0 @ N ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4845_even__numeral) ).

thf(5572,axiom,
    ! [D: nat,B: nat,A: nat] :
      ( ( dvd_dvd_nat @ D @ B )
     => ( ( dvd_dvd_nat @ B @ A )
       => ( ( divide_divide_nat @ ( divide_divide_nat @ A @ D ) @ ( divide_divide_nat @ B @ D ) )
          = ( divide_divide_nat @ A @ B ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4675_div__div__div__same) ).

thf(5575,axiom,
    ! [A: nat,C: nat,B: nat] :
      ( ( ( divide_divide_nat @ A @ C )
        = ( divide_divide_nat @ B @ C ) )
     => ( ( dvd_dvd_nat @ C @ A )
       => ( ( dvd_dvd_nat @ C @ B )
         => ( A = B ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4672_dvd__div__eq__cancel) ).

thf(5581,axiom,
    ! [C: nat,A: nat,B: nat] :
      ( ( dvd_dvd_nat @ C @ A )
     => ( ( dvd_dvd_nat @ C @ B )
       => ( ( ( divide_divide_nat @ A @ C )
            = ( divide_divide_nat @ B @ C ) )
          = ( A = B ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4666_dvd__div__eq__iff) ).

thf(5799,axiom,
    ! [A: nat,B: nat,C: nat] :
      ( ( dvd_dvd_nat @ A @ B )
     => ( ( dvd_dvd_nat @ A @ C )
       => ( ( dvd_dvd_nat @ ( divide_divide_nat @ B @ A ) @ ( divide_divide_nat @ C @ A ) )
          = ( dvd_dvd_nat @ B @ C ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4448_div__dvd__div) ).

thf(6643,axiom,
    ! [I2: nat,J: nat,Xs2: list_VEBT_VEBT,X: vEBT_VEBT] :
      ( ( I2 != J )
     => ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ Xs2 @ I2 @ X ) @ J )
        = ( nth_VEBT_VEBT @ Xs2 @ J ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3604_nth__list__update__neq) ).

thf(6646,axiom,
    ! [Xs2: list_VEBT_VEBT,I2: nat] :
      ( ( list_u1324408373059187874T_VEBT @ Xs2 @ I2 @ ( nth_VEBT_VEBT @ Xs2 @ I2 ) )
      = Xs2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3601_list__update__id) ).

thf(7136,axiom,
    ! [X22: num] :
      ( one
     != ( bit0 @ X22 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3111_verit__eq__simplify_I10_J) ).

thf(7211,axiom,
    ! [X22: num,Y22: num] :
      ( ( ( bit0 @ X22 )
        = ( bit0 @ Y22 ) )
      = ( X22 = Y22 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3036_verit__eq__simplify_I8_J) ).

thf(8087,axiom,
    ! [M: num,Q2: num] :
      ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ M ) ) @ ( numeral_numeral_nat @ ( bit0 @ Q2 ) ) )
     != ( modulo_modulo_nat @ ( numeral_numeral_nat @ one ) @ ( numeral_numeral_nat @ ( bit0 @ Q2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2160_cong__exp__iff__simps_I8_J) ).

thf(8090,axiom,
    ! [Q2: num,N: num] :
      ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ one ) @ ( numeral_numeral_nat @ ( bit0 @ Q2 ) ) )
     != ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ N ) ) @ ( numeral_numeral_nat @ ( bit0 @ Q2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2157_cong__exp__iff__simps_I6_J) ).

thf(8179,axiom,
    ! [M: num,N: num] :
      ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ M ) @ ( numeral_numeral_nat @ one ) )
      = ( modulo_modulo_nat @ ( numeral_numeral_nat @ N ) @ ( numeral_numeral_nat @ one ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2068_cong__exp__iff__simps_I4_J) ).

thf(8207,axiom,
    ! [M: num,Q2: num,N: num] :
      ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ M ) ) @ ( numeral_numeral_nat @ ( bit0 @ Q2 ) ) )
        = ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ N ) ) @ ( numeral_numeral_nat @ ( bit0 @ Q2 ) ) ) )
      = ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ M ) @ ( numeral_numeral_nat @ Q2 ) )
        = ( modulo_modulo_nat @ ( numeral_numeral_nat @ N ) @ ( numeral_numeral_nat @ Q2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2040_cong__exp__iff__simps_I9_J) ).

thf(8209,axiom,
    ! [N: num] :
      ( zero_zero_nat
     != ( numeral_numeral_nat @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2038_zero__neq__numeral) ).

thf(8675,axiom,
    ! [A: nat] :
      ( ( divide_divide_nat @ zero_zero_nat @ A )
      = zero_zero_nat ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1572_bits__div__0) ).

thf(8677,axiom,
    ! [A: nat] :
      ( ( divide_divide_nat @ A @ zero_zero_nat )
      = zero_zero_nat ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1570_bits__div__by__0) ).

thf(8679,axiom,
    ! [A: nat] :
      ( ( divide_divide_nat @ zero_zero_nat @ A )
      = zero_zero_nat ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1568_div__0) ).

thf(8684,axiom,
    ! [A: nat] :
      ( ( divide_divide_nat @ A @ zero_zero_nat )
      = zero_zero_nat ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1563_div__by__0) ).

thf(8887,axiom,
    ! [N: num] :
      ( ( numeral_numeral_nat @ ( bit0 @ N ) )
      = ( plus_plus_nat @ ( numeral_numeral_nat @ N ) @ ( numeral_numeral_nat @ N ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1360_numeral__code_I2_J) ).

thf(9229,axiom,
    ! [M: nat] :
      ( ( divide_divide_nat @ ( suc @ ( suc @ M ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
      = ( suc @ ( divide_divide_nat @ M @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1018_div2__Suc__Suc) ).

thf(9251,axiom,
    ! [A: nat] :
      ( ( divide_divide_nat @ A @ one_one_nat )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_996_div__by__1) ).

thf(9401,axiom,
    ( ( numeral_numeral_nat @ one )
    = one_one_nat ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_846_numerals_I1_J) ).

thf(9415,axiom,
    ( ( numeral_numeral_nat @ one )
    = one_one_nat ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_832_numeral__One) ).

thf(9628,axiom,
    ! [N: num] :
      ( ( ( numeral_numeral_nat @ N )
        = one_one_nat )
      = ( N = one ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_619_numeral__eq__one__iff) ).

thf(9633,axiom,
    ! [N: num] :
      ( ( one_one_nat
        = ( numeral_numeral_nat @ N ) )
      = ( one = N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_614_one__eq__numeral__iff) ).

thf(9652,axiom,
    ! [A: nat] :
      ( ( divide_divide_nat @ A @ one_one_nat )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_595_bits__div__by__1) ).

thf(9872,axiom,
    ! [A: nat,K: num,L2: num] :
      ( ( divide_divide_nat @ ( divide_divide_nat @ A @ ( numeral_numeral_nat @ K ) ) @ ( numeral_numeral_nat @ L2 ) )
      = ( divide_divide_nat @ A @ ( numeral_numeral_nat @ ( times_times_num @ K @ L2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_375_div__mult2__numeral__eq) ).

thf(9884,axiom,
    ! [N: num] :
      ( ( times_times_num @ ( bit0 @ one ) @ N )
      = ( bit0 @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_363_num__double) ).

thf(9886,axiom,
    ! [M: num] :
      ( ( times_times_num @ M @ one )
      = M ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_361_semiring__norm_I11_J) ).

thf(9887,axiom,
    ! [N: num] :
      ( ( times_times_num @ one @ N )
      = N ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_360_semiring__norm_I12_J) ).

thf(9888,axiom,
    ! [M: num,N: num] :
      ( ( times_times_num @ ( bit0 @ M ) @ ( bit0 @ N ) )
      = ( bit0 @ ( bit0 @ ( times_times_num @ M @ N ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_359_semiring__norm_I13_J) ).

thf(10030,axiom,
    ! [A: nat] :
      ( ( times_times_nat @ ( numeral_numeral_nat @ one ) @ A )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_217_mult__numeral__1) ).

thf(10035,axiom,
    ! [A: nat] :
      ( ( times_times_nat @ A @ ( numeral_numeral_nat @ one ) )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_212_mult__numeral__1__right) ).

thf(10039,axiom,
    ! [M: nat,N: nat,Q2: nat] :
      ( ( divide_divide_nat @ M @ ( times_times_nat @ N @ Q2 ) )
      = ( divide_divide_nat @ ( divide_divide_nat @ M @ N ) @ Q2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_208_div__mult2__eq) ).

thf(10060,axiom,
    ! [X: num] :
      ( ( ord_less_eq_num @ X @ one )
      = ( X = one ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_187_le__num__One__iff) ).

thf(10061,axiom,
    ! [N: num] :
      ( ( plus_plus_num @ one @ N )
      = ( plus_plus_num @ N @ one ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_186_add__One__commute) ).

thf(10088,axiom,
    ! [M: num] :
      ~ ( ord_less_eq_num @ ( bit0 @ M ) @ one ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_159_semiring__norm_I69_J) ).

thf(10089,axiom,
    ( ( plus_plus_num @ one @ one )
    = ( bit0 @ one ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_158_semiring__norm_I2_J) ).

thf(10100,axiom,
    ! [N: num] : ( ord_less_eq_num @ one @ N ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_147_semiring__norm_I68_J) ).

thf(10101,axiom,
    ! [M: num,N: num] :
      ( ( ord_less_eq_num @ ( bit0 @ M ) @ ( bit0 @ N ) )
      = ( ord_less_eq_num @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_146_semiring__norm_I71_J) ).

thf(10102,axiom,
    ! [M: num,N: num] :
      ( ( plus_plus_num @ ( bit0 @ M ) @ ( bit0 @ N ) )
      = ( bit0 @ ( plus_plus_num @ M @ N ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_145_semiring__norm_I6_J) ).

thf(10137,axiom,
    ! [N: num] :
      ( ( numeral_numeral_nat @ ( bit0 @ N ) )
      = ( plus_plus_nat @ ( numeral_numeral_nat @ N ) @ ( numeral_numeral_nat @ N ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_110_numeral__Bit0) ).

thf(10146,axiom,
    ! [M: nat] :
      ( ( divide_divide_nat @ ( plus_plus_nat @ M @ M ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
      = M ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_101_add__self__div__2) ).

thf(10147,axiom,
    ! [N: num] : ( ord_less_num @ one @ ( bit0 @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_100_semiring__norm_I76_J) ).

thf(10149,axiom,
    ! [M: num] :
      ~ ( ord_less_num @ M @ one ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_semiring__norm_I75_J) ).

thf(10150,axiom,
    ! [M: num,N: num] :
      ( ( ord_less_num @ ( bit0 @ M ) @ ( bit0 @ N ) )
      = ( ord_less_num @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_semiring__norm_I78_J) ).

thf(10176,axiom,
    ! [M: num,N: num] :
      ( ( ( numeral_numeral_nat @ M )
        = ( numeral_numeral_nat @ N ) )
      = ( M = N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_numeral__eq__iff) ).

thf(10181,axiom,
    za != ma,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66__092_060open_062z_A_092_060noteq_062_Ama_092_060close_062) ).

thf(10217,axiom,
    ! [M: nat,N: nat,K: nat] :
      ( ( ord_less_eq_nat @ M @ N )
     => ( ord_less_eq_nat @ ( divide_divide_nat @ M @ K ) @ ( divide_divide_nat @ N @ K ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_div__le__mono) ).

thf(10218,axiom,
    ! [M: nat,N: nat] : ( ord_less_eq_nat @ ( divide_divide_nat @ M @ N ) @ M ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_div__le__dividend) ).

thf(10227,axiom,
    ! [M: num,N: num] :
      ( ( ( bit0 @ M )
        = ( bit0 @ N ) )
      = ( M = N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_semiring__norm_I87_J) ).

thf(10231,axiom,
    ! [T: vEBT_VEBT,X: nat] :
      ( ( vEBT_VEBT_minNull @ T )
     => ~ ( vEBT_vebt_member @ T @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_min__Null__member) ).

thf(10232,axiom,
    ( vEBT_VEBT_high
    = ( ^ [X2: nat,N2: nat] : ( divide_divide_nat @ X2 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ N2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_high__def) ).

thf(10234,axiom,
    ! [N: num] :
      ( ( divide_divide_nat @ ( numeral_numeral_nat @ ( bit0 @ N ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
      = ( numeral_numeral_nat @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_numeral__Bit0__div__2) ).

thf(10235,axiom,
    ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12__092_060open_0622_A_092_060le_062_Adeg_092_060close_062) ).

thf(10238,axiom,
    ( ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
    = na ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062) ).

thf(10240,axiom,
    ! [N: num] :
      ( one
     != ( bit0 @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_semiring__norm_I83_J) ).

thf(10241,axiom,
    ! [M: num] :
      ( ( bit0 @ M )
     != one ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_semiring__norm_I85_J) ).

thf(10242,axiom,
    vEBT_vebt_member @ summary @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_abh) ).

thf(10243,axiom,
    ( ( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
      = ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
   => ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_aaa) ).

thf(10244,axiom,
    za != mi,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_False) ).

thf(10245,axiom,
    vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_abe) ).

thf(10246,axiom,
    ! [X: nat,D: nat] :
      ( ( vEBT_VEBT_bit_concat @ ( vEBT_VEBT_high @ X @ D ) @ ( vEBT_VEBT_low @ X @ D ) @ D )
      = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_bit__split__inv) ).

thf(10247,axiom,
    ( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
    = pr ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_True) ).

thf(10248,conjecture,
    vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(10249,negated_conjecture,
    ( ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[10248]) ).

thf(10250,plain,
    ( ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[10249]) ).

thf(10251,plain,
    ( ( ! [P: $o] :
          ( ( P = $true )
          | ( P = $false ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(10252,plain,
    ( ( ! [N: num] :
          ( ( sqr @ ( bit0 @ N ) )
          = ( bit0 @ ( bit0 @ ( sqr @ N ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[399]) ).

thf(10253,plain,
    ( ( ( sqr @ one )
      = one )
    = $true ),
    inference(unfold_def,[status(thm)],[400]) ).

thf(10254,plain,
    ( ( ! [Q2: num] :
          ( ( num_of_nat @ ( numeral_numeral_nat @ Q2 ) )
          = Q2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[407]) ).

thf(10255,plain,
    ( ( ! [N: num] :
          ( ( bit_or_not_num_neg @ ( bit0 @ N ) @ one )
          = ( bit0 @ one ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[784]) ).

thf(10256,plain,
    ( ( ( bit_or_not_num_neg @ one @ one )
      = one )
    = $true ),
    inference(unfold_def,[status(thm)],[787]) ).

thf(10257,plain,
    ( ( ! [X: num] :
          ( ( pow @ X @ one )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[822]) ).

thf(10258,plain,
    ( ( ( inc @ one )
      = ( bit0 @ one ) )
    = $true ),
    inference(unfold_def,[status(thm)],[870]) ).

thf(10259,plain,
    ( ( ! [P: num > $o,X: num] :
          ( ( P @ one )
         => ( ! [X3: num] :
                ( ( P @ X3 )
               => ( P @ ( inc @ X3 ) ) )
           => ( P @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[877]) ).

thf(10260,plain,
    ( ( ( bitM @ one )
      = one )
    = $true ),
    inference(unfold_def,[status(thm)],[1286]) ).

thf(10261,plain,
    ( ( ( semiri1408675320244567234ct_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
      = ( numeral_numeral_nat @ ( bit0 @ one ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2267]) ).

thf(10262,plain,
    ( ( ! [M: nat,N: nat] :
          ( ( semiri1316708129612266289at_nat @ ( divide_divide_nat @ M @ N ) )
          = ( divide_divide_nat @ ( semiri1316708129612266289at_nat @ M ) @ ( semiri1316708129612266289at_nat @ N ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3012]) ).

thf(10263,plain,
    ( ( ! [N: num] :
          ( ( semiri1316708129612266289at_nat @ ( numeral_numeral_nat @ N ) )
          = ( numeral_numeral_nat @ N ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3343]) ).

thf(10264,plain,
    ( ( ! [N: num] :
          ( ( divide_divide_nat @ ( numeral_numeral_nat @ ( bit1 @ N ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( numeral_numeral_nat @ N ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3589]) ).

thf(10265,plain,
    ( ( ! [Y2: num] :
          ( ( Y2 != one )
         => ( ! [X23: num] :
                ( Y2
               != ( bit0 @ X23 ) )
           => ~ ! [X33: num] :
                  ( Y2
                 != ( bit1 @ X33 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3718]) ).

thf(10266,plain,
    ( ( ! [X32: num] :
          ( one
         != ( bit1 @ X32 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3774]) ).

thf(10267,plain,
    ( ( ! [X22: num,X32: num] :
          ( ( bit0 @ X22 )
         != ( bit1 @ X32 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3775]) ).

thf(10268,plain,
    ( ( ! [N: num] :
          ( one
         != ( bit1 @ N ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3916]) ).

thf(10269,plain,
    ( ( ! [M: num] :
          ( ( bit1 @ M )
         != one ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3917]) ).

thf(10270,plain,
    ( ( ! [M: num,N: num] :
          ( ( bit0 @ M )
         != ( bit1 @ N ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3918]) ).

thf(10271,plain,
    ( ( ! [M: num,N: num] :
          ( ( bit1 @ M )
         != ( bit0 @ N ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3919]) ).

thf(10272,plain,
    ( ( ! [X: nat,Y2: nat] :
          ( ( ( divide_divide_nat @ X @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
            = ( divide_divide_nat @ Y2 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
         => ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ X )
              = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ Y2 ) )
           => ( X = Y2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5325]) ).

thf(10273,plain,
    ( ( ( ^ [Y5: nat,Z4: nat] : ( Y5 = Z4 ) )
      = ( ^ [A3: nat,B2: nat] :
            ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ A3 )
              = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ B2 ) )
            & ( ( divide_divide_nat @ A3 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
              = ( divide_divide_nat @ B2 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5337]) ).

thf(10274,plain,
    ( ( ! [N: num] : ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( numeral_numeral_nat @ ( bit0 @ N ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5402]) ).

thf(10275,plain,
    ( ( ! [D: nat,B: nat,A: nat] :
          ( ( dvd_dvd_nat @ D @ B )
         => ( ( dvd_dvd_nat @ B @ A )
           => ( ( divide_divide_nat @ ( divide_divide_nat @ A @ D ) @ ( divide_divide_nat @ B @ D ) )
              = ( divide_divide_nat @ A @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5572]) ).

thf(10276,plain,
    ( ( ! [A: nat,C: nat,B: nat] :
          ( ( ( divide_divide_nat @ A @ C )
            = ( divide_divide_nat @ B @ C ) )
         => ( ( dvd_dvd_nat @ C @ A )
           => ( ( dvd_dvd_nat @ C @ B )
             => ( A = B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5575]) ).

thf(10277,plain,
    ( ( ! [C: nat,A: nat,B: nat] :
          ( ( dvd_dvd_nat @ C @ A )
         => ( ( dvd_dvd_nat @ C @ B )
           => ( ( ( divide_divide_nat @ A @ C )
                = ( divide_divide_nat @ B @ C ) )
              = ( A = B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5581]) ).

thf(10278,plain,
    ( ( ! [A: nat,B: nat,C: nat] :
          ( ( dvd_dvd_nat @ A @ B )
         => ( ( dvd_dvd_nat @ A @ C )
           => ( ( dvd_dvd_nat @ ( divide_divide_nat @ B @ A ) @ ( divide_divide_nat @ C @ A ) )
              = ( dvd_dvd_nat @ B @ C ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5799]) ).

thf(10279,plain,
    ( ( ! [I2: nat,J: nat,Xs2: list_VEBT_VEBT,X: vEBT_VEBT] :
          ( ( I2 != J )
         => ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ Xs2 @ I2 @ X ) @ J )
            = ( nth_VEBT_VEBT @ Xs2 @ J ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6643]) ).

thf(10280,plain,
    ( ( ! [Xs2: list_VEBT_VEBT,I2: nat] :
          ( ( list_u1324408373059187874T_VEBT @ Xs2 @ I2 @ ( nth_VEBT_VEBT @ Xs2 @ I2 ) )
          = Xs2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6646]) ).

thf(10281,plain,
    ( ( ! [X22: num] :
          ( one
         != ( bit0 @ X22 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7136]) ).

thf(10282,plain,
    ( ( ! [X22: num,Y22: num] :
          ( ( ( bit0 @ X22 )
            = ( bit0 @ Y22 ) )
          = ( X22 = Y22 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7211]) ).

thf(10283,plain,
    ( ( ! [M: num,Q2: num] :
          ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ M ) ) @ ( numeral_numeral_nat @ ( bit0 @ Q2 ) ) )
         != ( modulo_modulo_nat @ ( numeral_numeral_nat @ one ) @ ( numeral_numeral_nat @ ( bit0 @ Q2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8087]) ).

thf(10284,plain,
    ( ( ! [Q2: num,N: num] :
          ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ one ) @ ( numeral_numeral_nat @ ( bit0 @ Q2 ) ) )
         != ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ N ) ) @ ( numeral_numeral_nat @ ( bit0 @ Q2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8090]) ).

thf(10285,plain,
    ( ( ! [M: num,N: num] :
          ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ M ) @ ( numeral_numeral_nat @ one ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ N ) @ ( numeral_numeral_nat @ one ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8179]) ).

thf(10286,plain,
    ( ( ! [M: num,Q2: num,N: num] :
          ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ M ) ) @ ( numeral_numeral_nat @ ( bit0 @ Q2 ) ) )
            = ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ N ) ) @ ( numeral_numeral_nat @ ( bit0 @ Q2 ) ) ) )
          = ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ M ) @ ( numeral_numeral_nat @ Q2 ) )
            = ( modulo_modulo_nat @ ( numeral_numeral_nat @ N ) @ ( numeral_numeral_nat @ Q2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8207]) ).

thf(10287,plain,
    ( ( ! [N: num] :
          ( zero_zero_nat
         != ( numeral_numeral_nat @ N ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8209]) ).

thf(10288,plain,
    ( ( ! [A: nat] :
          ( ( divide_divide_nat @ zero_zero_nat @ A )
          = zero_zero_nat ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8675]) ).

thf(10289,plain,
    ( ( ! [A: nat] :
          ( ( divide_divide_nat @ A @ zero_zero_nat )
          = zero_zero_nat ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8677]) ).

thf(10290,plain,
    ( ( ! [A: nat] :
          ( ( divide_divide_nat @ zero_zero_nat @ A )
          = zero_zero_nat ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8679]) ).

thf(10291,plain,
    ( ( ! [A: nat] :
          ( ( divide_divide_nat @ A @ zero_zero_nat )
          = zero_zero_nat ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8684]) ).

thf(10292,plain,
    ( ( ! [N: num] :
          ( ( numeral_numeral_nat @ ( bit0 @ N ) )
          = ( plus_plus_nat @ ( numeral_numeral_nat @ N ) @ ( numeral_numeral_nat @ N ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8887]) ).

thf(10293,plain,
    ( ( ! [M: nat] :
          ( ( divide_divide_nat @ ( suc @ ( suc @ M ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( suc @ ( divide_divide_nat @ M @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9229]) ).

thf(10294,plain,
    ( ( ! [A: nat] :
          ( ( divide_divide_nat @ A @ one_one_nat )
          = A ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9251]) ).

thf(10295,plain,
    ( ( ( numeral_numeral_nat @ one )
      = one_one_nat )
    = $true ),
    inference(unfold_def,[status(thm)],[9401]) ).

thf(10296,plain,
    ( ( ( numeral_numeral_nat @ one )
      = one_one_nat )
    = $true ),
    inference(unfold_def,[status(thm)],[9415]) ).

thf(10297,plain,
    ( ( ! [N: num] :
          ( ( ( numeral_numeral_nat @ N )
            = one_one_nat )
          = ( N = one ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9628]) ).

thf(10298,plain,
    ( ( ! [N: num] :
          ( ( one_one_nat
            = ( numeral_numeral_nat @ N ) )
          = ( one = N ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9633]) ).

thf(10299,plain,
    ( ( ! [A: nat] :
          ( ( divide_divide_nat @ A @ one_one_nat )
          = A ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9652]) ).

thf(10300,plain,
    ( ( ! [A: nat,K: num,L2: num] :
          ( ( divide_divide_nat @ ( divide_divide_nat @ A @ ( numeral_numeral_nat @ K ) ) @ ( numeral_numeral_nat @ L2 ) )
          = ( divide_divide_nat @ A @ ( numeral_numeral_nat @ ( times_times_num @ K @ L2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9872]) ).

thf(10301,plain,
    ( ( ! [N: num] :
          ( ( times_times_num @ ( bit0 @ one ) @ N )
          = ( bit0 @ N ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9884]) ).

thf(10302,plain,
    ( ( ! [M: num] :
          ( ( times_times_num @ M @ one )
          = M ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9886]) ).

thf(10303,plain,
    ( ( ! [N: num] :
          ( ( times_times_num @ one @ N )
          = N ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9887]) ).

thf(10304,plain,
    ( ( ! [M: num,N: num] :
          ( ( times_times_num @ ( bit0 @ M ) @ ( bit0 @ N ) )
          = ( bit0 @ ( bit0 @ ( times_times_num @ M @ N ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9888]) ).

thf(10305,plain,
    ( ( ! [A: nat] :
          ( ( times_times_nat @ ( numeral_numeral_nat @ one ) @ A )
          = A ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10030]) ).

thf(10306,plain,
    ( ( ! [A: nat] :
          ( ( times_times_nat @ A @ ( numeral_numeral_nat @ one ) )
          = A ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10035]) ).

thf(10307,plain,
    ( ( ! [M: nat,N: nat,Q2: nat] :
          ( ( divide_divide_nat @ M @ ( times_times_nat @ N @ Q2 ) )
          = ( divide_divide_nat @ ( divide_divide_nat @ M @ N ) @ Q2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10039]) ).

thf(10308,plain,
    ( ( ! [X: num] :
          ( ( ord_less_eq_num @ X @ one )
          = ( X = one ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10060]) ).

thf(10309,plain,
    ( ( ! [N: num] :
          ( ( plus_plus_num @ one @ N )
          = ( plus_plus_num @ N @ one ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10061]) ).

thf(10310,plain,
    ( ( ! [M: num] :
          ~ ( ord_less_eq_num @ ( bit0 @ M ) @ one ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10088]) ).

thf(10311,plain,
    ( ( ( plus_plus_num @ one @ one )
      = ( bit0 @ one ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10089]) ).

thf(10312,plain,
    ( ( ! [N: num] : ( ord_less_eq_num @ one @ N ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10100]) ).

thf(10313,plain,
    ( ( ! [M: num,N: num] :
          ( ( ord_less_eq_num @ ( bit0 @ M ) @ ( bit0 @ N ) )
          = ( ord_less_eq_num @ M @ N ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10101]) ).

thf(10314,plain,
    ( ( ! [M: num,N: num] :
          ( ( plus_plus_num @ ( bit0 @ M ) @ ( bit0 @ N ) )
          = ( bit0 @ ( plus_plus_num @ M @ N ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10102]) ).

thf(10315,plain,
    ( ( ! [N: num] :
          ( ( numeral_numeral_nat @ ( bit0 @ N ) )
          = ( plus_plus_nat @ ( numeral_numeral_nat @ N ) @ ( numeral_numeral_nat @ N ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10137]) ).

thf(10316,plain,
    ( ( ! [M: nat] :
          ( ( divide_divide_nat @ ( plus_plus_nat @ M @ M ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = M ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10146]) ).

thf(10317,plain,
    ( ( ! [N: num] : ( ord_less_num @ one @ ( bit0 @ N ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10147]) ).

thf(10318,plain,
    ( ( ! [M: num] :
          ~ ( ord_less_num @ M @ one ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10149]) ).

thf(10319,plain,
    ( ( ! [M: num,N: num] :
          ( ( ord_less_num @ ( bit0 @ M ) @ ( bit0 @ N ) )
          = ( ord_less_num @ M @ N ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10150]) ).

thf(10320,plain,
    ( ( ! [M: num,N: num] :
          ( ( ( numeral_numeral_nat @ M )
            = ( numeral_numeral_nat @ N ) )
          = ( M = N ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10176]) ).

thf(10321,plain,
    ( ( za != ma )
    = $true ),
    inference(unfold_def,[status(thm)],[10181]) ).

thf(10322,plain,
    ( ( ! [M: nat,N: nat,K: nat] :
          ( ( ord_less_eq_nat @ M @ N )
         => ( ord_less_eq_nat @ ( divide_divide_nat @ M @ K ) @ ( divide_divide_nat @ N @ K ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10217]) ).

thf(10323,plain,
    ( ( ! [M: nat,N: nat] : ( ord_less_eq_nat @ ( divide_divide_nat @ M @ N ) @ M ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10218]) ).

thf(10324,plain,
    ( ( ! [M: num,N: num] :
          ( ( ( bit0 @ M )
            = ( bit0 @ N ) )
          = ( M = N ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10227]) ).

thf(10325,plain,
    ( ( ! [T: vEBT_VEBT,X: nat] :
          ( ( vEBT_VEBT_minNull @ T )
         => ~ ( vEBT_vebt_member @ T @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10231]) ).

thf(10326,plain,
    ( ( vEBT_VEBT_high
      = ( ^ [X2: nat,N2: nat] : ( divide_divide_nat @ X2 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ N2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10232]) ).

thf(10327,plain,
    ( ( ! [N: num] :
          ( ( divide_divide_nat @ ( numeral_numeral_nat @ ( bit0 @ N ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( numeral_numeral_nat @ N ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10234]) ).

thf(10328,plain,
    ( ( ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg )
    = $true ),
    inference(unfold_def,[status(thm)],[10235]) ).

thf(10329,plain,
    ( ( ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
      = na )
    = $true ),
    inference(unfold_def,[status(thm)],[10238]) ).

thf(10330,plain,
    ( ( ! [N: num] :
          ( one
         != ( bit0 @ N ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10240]) ).

thf(10331,plain,
    ( ( ! [M: num] :
          ( ( bit0 @ M )
         != one ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10241]) ).

thf(10332,plain,
    ( ( vEBT_vebt_member @ summary @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10242]) ).

thf(10333,plain,
    ( ( ( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
     => ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10243]) ).

thf(10334,plain,
    ( ( za != mi )
    = $true ),
    inference(unfold_def,[status(thm)],[10244]) ).

thf(10335,plain,
    ( ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10245]) ).

thf(10336,plain,
    ( ( ! [X: nat,D: nat] :
          ( ( vEBT_VEBT_bit_concat @ ( vEBT_VEBT_high @ X @ D ) @ ( vEBT_VEBT_low @ X @ D ) @ D )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10246]) ).

thf(10337,plain,
    ( ( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
      = pr )
    = $true ),
    inference(unfold_def,[status(thm)],[10247]) ).

thf(10338,plain,
    ( ( ~ ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[10250]) ).

thf(10339,plain,
    ( ( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
      = pr )
    = $true ),
    inference(copy,[status(thm)],[10337]) ).

thf(10340,plain,
    ( ( ! [X: nat,D: nat] :
          ( ( vEBT_VEBT_bit_concat @ ( vEBT_VEBT_high @ X @ D ) @ ( vEBT_VEBT_low @ X @ D ) @ D )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[10336]) ).

thf(10341,plain,
    ( ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10335]) ).

thf(10342,plain,
    ( ( za != mi )
    = $true ),
    inference(copy,[status(thm)],[10334]) ).

thf(10343,plain,
    ( ( ( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
     => ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10333]) ).

thf(10344,plain,
    ( ( vEBT_vebt_member @ summary @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10332]) ).

thf(10345,plain,
    ( ( ! [M: num] :
          ( ( bit0 @ M )
         != one ) )
    = $true ),
    inference(copy,[status(thm)],[10331]) ).

thf(10346,plain,
    ( ( ! [N: num] :
          ( one
         != ( bit0 @ N ) ) )
    = $true ),
    inference(copy,[status(thm)],[10330]) ).

thf(10347,plain,
    ( ( ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
      = na )
    = $true ),
    inference(copy,[status(thm)],[10329]) ).

thf(10348,plain,
    ( ( ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg )
    = $true ),
    inference(copy,[status(thm)],[10328]) ).

thf(10349,plain,
    ( ( ! [N: num] :
          ( ( divide_divide_nat @ ( numeral_numeral_nat @ ( bit0 @ N ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( numeral_numeral_nat @ N ) ) )
    = $true ),
    inference(copy,[status(thm)],[10327]) ).

thf(10350,plain,
    ( ( vEBT_VEBT_high
      = ( ^ [X2: nat,N2: nat] : ( divide_divide_nat @ X2 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ N2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10326]) ).

thf(10351,plain,
    ( ( ! [T: vEBT_VEBT,X: nat] :
          ( ( vEBT_VEBT_minNull @ T )
         => ~ ( vEBT_vebt_member @ T @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[10325]) ).

thf(10352,plain,
    ( ( ! [M: num,N: num] :
          ( ( ( bit0 @ M )
            = ( bit0 @ N ) )
          = ( M = N ) ) )
    = $true ),
    inference(copy,[status(thm)],[10324]) ).

thf(10353,plain,
    ( ( ! [M: nat,N: nat] : ( ord_less_eq_nat @ ( divide_divide_nat @ M @ N ) @ M ) )
    = $true ),
    inference(copy,[status(thm)],[10323]) ).

thf(10354,plain,
    ( ( ! [M: nat,N: nat,K: nat] :
          ( ( ord_less_eq_nat @ M @ N )
         => ( ord_less_eq_nat @ ( divide_divide_nat @ M @ K ) @ ( divide_divide_nat @ N @ K ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10322]) ).

thf(10355,plain,
    ( ( za != ma )
    = $true ),
    inference(copy,[status(thm)],[10321]) ).

thf(10356,plain,
    ( ( ! [M: num,N: num] :
          ( ( ( numeral_numeral_nat @ M )
            = ( numeral_numeral_nat @ N ) )
          = ( M = N ) ) )
    = $true ),
    inference(copy,[status(thm)],[10320]) ).

thf(10357,plain,
    ( ( ! [M: num,N: num] :
          ( ( ord_less_num @ ( bit0 @ M ) @ ( bit0 @ N ) )
          = ( ord_less_num @ M @ N ) ) )
    = $true ),
    inference(copy,[status(thm)],[10319]) ).

thf(10358,plain,
    ( ( ! [M: num] :
          ~ ( ord_less_num @ M @ one ) )
    = $true ),
    inference(copy,[status(thm)],[10318]) ).

thf(10359,plain,
    ( ( ! [N: num] : ( ord_less_num @ one @ ( bit0 @ N ) ) )
    = $true ),
    inference(copy,[status(thm)],[10317]) ).

thf(10360,plain,
    ( ( ! [M: nat] :
          ( ( divide_divide_nat @ ( plus_plus_nat @ M @ M ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = M ) )
    = $true ),
    inference(copy,[status(thm)],[10316]) ).

thf(10361,plain,
    ( ( ! [N: num] :
          ( ( numeral_numeral_nat @ ( bit0 @ N ) )
          = ( plus_plus_nat @ ( numeral_numeral_nat @ N ) @ ( numeral_numeral_nat @ N ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10315]) ).

thf(10362,plain,
    ( ( ! [M: num,N: num] :
          ( ( plus_plus_num @ ( bit0 @ M ) @ ( bit0 @ N ) )
          = ( bit0 @ ( plus_plus_num @ M @ N ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10314]) ).

thf(10363,plain,
    ( ( ! [M: num,N: num] :
          ( ( ord_less_eq_num @ ( bit0 @ M ) @ ( bit0 @ N ) )
          = ( ord_less_eq_num @ M @ N ) ) )
    = $true ),
    inference(copy,[status(thm)],[10313]) ).

thf(10364,plain,
    ( ( ! [N: num] : ( ord_less_eq_num @ one @ N ) )
    = $true ),
    inference(copy,[status(thm)],[10312]) ).

thf(10365,plain,
    ( ( ( plus_plus_num @ one @ one )
      = ( bit0 @ one ) )
    = $true ),
    inference(copy,[status(thm)],[10311]) ).

thf(10366,plain,
    ( ( ! [M: num] :
          ~ ( ord_less_eq_num @ ( bit0 @ M ) @ one ) )
    = $true ),
    inference(copy,[status(thm)],[10310]) ).

thf(10367,plain,
    ( ( ! [N: num] :
          ( ( plus_plus_num @ one @ N )
          = ( plus_plus_num @ N @ one ) ) )
    = $true ),
    inference(copy,[status(thm)],[10309]) ).

thf(10368,plain,
    ( ( ! [X: num] :
          ( ( ord_less_eq_num @ X @ one )
          = ( X = one ) ) )
    = $true ),
    inference(copy,[status(thm)],[10308]) ).

thf(10369,plain,
    ( ( ! [M: nat,N: nat,Q2: nat] :
          ( ( divide_divide_nat @ M @ ( times_times_nat @ N @ Q2 ) )
          = ( divide_divide_nat @ ( divide_divide_nat @ M @ N ) @ Q2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[10307]) ).

thf(10370,plain,
    ( ( ! [A: nat] :
          ( ( times_times_nat @ A @ ( numeral_numeral_nat @ one ) )
          = A ) )
    = $true ),
    inference(copy,[status(thm)],[10306]) ).

thf(10371,plain,
    ( ( ! [A: nat] :
          ( ( times_times_nat @ ( numeral_numeral_nat @ one ) @ A )
          = A ) )
    = $true ),
    inference(copy,[status(thm)],[10305]) ).

thf(10372,plain,
    ( ( ! [M: num,N: num] :
          ( ( times_times_num @ ( bit0 @ M ) @ ( bit0 @ N ) )
          = ( bit0 @ ( bit0 @ ( times_times_num @ M @ N ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10304]) ).

thf(10373,plain,
    ( ( ! [N: num] :
          ( ( times_times_num @ one @ N )
          = N ) )
    = $true ),
    inference(copy,[status(thm)],[10303]) ).

thf(10374,plain,
    ( ( ! [M: num] :
          ( ( times_times_num @ M @ one )
          = M ) )
    = $true ),
    inference(copy,[status(thm)],[10302]) ).

thf(10375,plain,
    ( ( ! [N: num] :
          ( ( times_times_num @ ( bit0 @ one ) @ N )
          = ( bit0 @ N ) ) )
    = $true ),
    inference(copy,[status(thm)],[10301]) ).

thf(10376,plain,
    ( ( ! [A: nat,K: num,L2: num] :
          ( ( divide_divide_nat @ ( divide_divide_nat @ A @ ( numeral_numeral_nat @ K ) ) @ ( numeral_numeral_nat @ L2 ) )
          = ( divide_divide_nat @ A @ ( numeral_numeral_nat @ ( times_times_num @ K @ L2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10300]) ).

thf(10377,plain,
    ( ( ! [A: nat] :
          ( ( divide_divide_nat @ A @ one_one_nat )
          = A ) )
    = $true ),
    inference(copy,[status(thm)],[10299]) ).

thf(10378,plain,
    ( ( ! [N: num] :
          ( ( one_one_nat
            = ( numeral_numeral_nat @ N ) )
          = ( one = N ) ) )
    = $true ),
    inference(copy,[status(thm)],[10298]) ).

thf(10379,plain,
    ( ( ! [N: num] :
          ( ( ( numeral_numeral_nat @ N )
            = one_one_nat )
          = ( N = one ) ) )
    = $true ),
    inference(copy,[status(thm)],[10297]) ).

thf(10380,plain,
    ( ( ( numeral_numeral_nat @ one )
      = one_one_nat )
    = $true ),
    inference(copy,[status(thm)],[10296]) ).

thf(10381,plain,
    ( ( ( numeral_numeral_nat @ one )
      = one_one_nat )
    = $true ),
    inference(copy,[status(thm)],[10295]) ).

thf(10382,plain,
    ( ( ! [A: nat] :
          ( ( divide_divide_nat @ A @ one_one_nat )
          = A ) )
    = $true ),
    inference(copy,[status(thm)],[10294]) ).

thf(10383,plain,
    ( ( ! [M: nat] :
          ( ( divide_divide_nat @ ( suc @ ( suc @ M ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( suc @ ( divide_divide_nat @ M @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10293]) ).

thf(10384,plain,
    ( ( ! [N: num] :
          ( ( numeral_numeral_nat @ ( bit0 @ N ) )
          = ( plus_plus_nat @ ( numeral_numeral_nat @ N ) @ ( numeral_numeral_nat @ N ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10292]) ).

thf(10385,plain,
    ( ( ! [A: nat] :
          ( ( divide_divide_nat @ A @ zero_zero_nat )
          = zero_zero_nat ) )
    = $true ),
    inference(copy,[status(thm)],[10291]) ).

thf(10386,plain,
    ( ( ! [A: nat] :
          ( ( divide_divide_nat @ zero_zero_nat @ A )
          = zero_zero_nat ) )
    = $true ),
    inference(copy,[status(thm)],[10290]) ).

thf(10387,plain,
    ( ( ! [A: nat] :
          ( ( divide_divide_nat @ A @ zero_zero_nat )
          = zero_zero_nat ) )
    = $true ),
    inference(copy,[status(thm)],[10289]) ).

thf(10388,plain,
    ( ( ! [A: nat] :
          ( ( divide_divide_nat @ zero_zero_nat @ A )
          = zero_zero_nat ) )
    = $true ),
    inference(copy,[status(thm)],[10288]) ).

thf(10389,plain,
    ( ( ! [N: num] :
          ( zero_zero_nat
         != ( numeral_numeral_nat @ N ) ) )
    = $true ),
    inference(copy,[status(thm)],[10287]) ).

thf(10390,plain,
    ( ( ! [M: num,Q2: num,N: num] :
          ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ M ) ) @ ( numeral_numeral_nat @ ( bit0 @ Q2 ) ) )
            = ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ N ) ) @ ( numeral_numeral_nat @ ( bit0 @ Q2 ) ) ) )
          = ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ M ) @ ( numeral_numeral_nat @ Q2 ) )
            = ( modulo_modulo_nat @ ( numeral_numeral_nat @ N ) @ ( numeral_numeral_nat @ Q2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10286]) ).

thf(10391,plain,
    ( ( ! [M: num,N: num] :
          ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ M ) @ ( numeral_numeral_nat @ one ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ N ) @ ( numeral_numeral_nat @ one ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10285]) ).

thf(10392,plain,
    ( ( ! [Q2: num,N: num] :
          ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ one ) @ ( numeral_numeral_nat @ ( bit0 @ Q2 ) ) )
         != ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ N ) ) @ ( numeral_numeral_nat @ ( bit0 @ Q2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10284]) ).

thf(10393,plain,
    ( ( ! [M: num,Q2: num] :
          ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ M ) ) @ ( numeral_numeral_nat @ ( bit0 @ Q2 ) ) )
         != ( modulo_modulo_nat @ ( numeral_numeral_nat @ one ) @ ( numeral_numeral_nat @ ( bit0 @ Q2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10283]) ).

thf(10394,plain,
    ( ( ! [X22: num,Y22: num] :
          ( ( ( bit0 @ X22 )
            = ( bit0 @ Y22 ) )
          = ( X22 = Y22 ) ) )
    = $true ),
    inference(copy,[status(thm)],[10282]) ).

thf(10395,plain,
    ( ( ! [X22: num] :
          ( one
         != ( bit0 @ X22 ) ) )
    = $true ),
    inference(copy,[status(thm)],[10281]) ).

thf(10396,plain,
    ( ( ! [Xs2: list_VEBT_VEBT,I2: nat] :
          ( ( list_u1324408373059187874T_VEBT @ Xs2 @ I2 @ ( nth_VEBT_VEBT @ Xs2 @ I2 ) )
          = Xs2 ) )
    = $true ),
    inference(copy,[status(thm)],[10280]) ).

thf(10397,plain,
    ( ( ! [I2: nat,J: nat,Xs2: list_VEBT_VEBT,X: vEBT_VEBT] :
          ( ( I2 != J )
         => ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ Xs2 @ I2 @ X ) @ J )
            = ( nth_VEBT_VEBT @ Xs2 @ J ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10279]) ).

thf(10398,plain,
    ( ( ! [A: nat,B: nat,C: nat] :
          ( ( dvd_dvd_nat @ A @ B )
         => ( ( dvd_dvd_nat @ A @ C )
           => ( ( dvd_dvd_nat @ ( divide_divide_nat @ B @ A ) @ ( divide_divide_nat @ C @ A ) )
              = ( dvd_dvd_nat @ B @ C ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10278]) ).

thf(10399,plain,
    ( ( ! [C: nat,A: nat,B: nat] :
          ( ( dvd_dvd_nat @ C @ A )
         => ( ( dvd_dvd_nat @ C @ B )
           => ( ( ( divide_divide_nat @ A @ C )
                = ( divide_divide_nat @ B @ C ) )
              = ( A = B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10277]) ).

thf(10400,plain,
    ( ( ! [A: nat,C: nat,B: nat] :
          ( ( ( divide_divide_nat @ A @ C )
            = ( divide_divide_nat @ B @ C ) )
         => ( ( dvd_dvd_nat @ C @ A )
           => ( ( dvd_dvd_nat @ C @ B )
             => ( A = B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10276]) ).

thf(10401,plain,
    ( ( ! [D: nat,B: nat,A: nat] :
          ( ( dvd_dvd_nat @ D @ B )
         => ( ( dvd_dvd_nat @ B @ A )
           => ( ( divide_divide_nat @ ( divide_divide_nat @ A @ D ) @ ( divide_divide_nat @ B @ D ) )
              = ( divide_divide_nat @ A @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10275]) ).

thf(10402,plain,
    ( ( ! [N: num] : ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( numeral_numeral_nat @ ( bit0 @ N ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10274]) ).

thf(10403,plain,
    ( ( ( ^ [Y5: nat,Z4: nat] : ( Y5 = Z4 ) )
      = ( ^ [A3: nat,B2: nat] :
            ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ A3 )
              = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ B2 ) )
            & ( ( divide_divide_nat @ A3 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
              = ( divide_divide_nat @ B2 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10273]) ).

thf(10404,plain,
    ( ( ! [X: nat,Y2: nat] :
          ( ( ( divide_divide_nat @ X @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
            = ( divide_divide_nat @ Y2 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
         => ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ X )
              = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ Y2 ) )
           => ( X = Y2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10272]) ).

thf(10405,plain,
    ( ( ! [M: num,N: num] :
          ( ( bit1 @ M )
         != ( bit0 @ N ) ) )
    = $true ),
    inference(copy,[status(thm)],[10271]) ).

thf(10406,plain,
    ( ( ! [M: num,N: num] :
          ( ( bit0 @ M )
         != ( bit1 @ N ) ) )
    = $true ),
    inference(copy,[status(thm)],[10270]) ).

thf(10407,plain,
    ( ( ! [M: num] :
          ( ( bit1 @ M )
         != one ) )
    = $true ),
    inference(copy,[status(thm)],[10269]) ).

thf(10408,plain,
    ( ( ! [N: num] :
          ( one
         != ( bit1 @ N ) ) )
    = $true ),
    inference(copy,[status(thm)],[10268]) ).

thf(10409,plain,
    ( ( ! [X22: num,X32: num] :
          ( ( bit0 @ X22 )
         != ( bit1 @ X32 ) ) )
    = $true ),
    inference(copy,[status(thm)],[10267]) ).

thf(10410,plain,
    ( ( ! [X32: num] :
          ( one
         != ( bit1 @ X32 ) ) )
    = $true ),
    inference(copy,[status(thm)],[10266]) ).

thf(10411,plain,
    ( ( ! [Y2: num] :
          ( ( Y2 != one )
         => ( ! [X23: num] :
                ( Y2
               != ( bit0 @ X23 ) )
           => ~ ! [X33: num] :
                  ( Y2
                 != ( bit1 @ X33 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10265]) ).

thf(10412,plain,
    ( ( ! [N: num] :
          ( ( divide_divide_nat @ ( numeral_numeral_nat @ ( bit1 @ N ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( numeral_numeral_nat @ N ) ) )
    = $true ),
    inference(copy,[status(thm)],[10264]) ).

thf(10413,plain,
    ( ( ! [N: num] :
          ( ( semiri1316708129612266289at_nat @ ( numeral_numeral_nat @ N ) )
          = ( numeral_numeral_nat @ N ) ) )
    = $true ),
    inference(copy,[status(thm)],[10263]) ).

thf(10414,plain,
    ( ( ! [M: nat,N: nat] :
          ( ( semiri1316708129612266289at_nat @ ( divide_divide_nat @ M @ N ) )
          = ( divide_divide_nat @ ( semiri1316708129612266289at_nat @ M ) @ ( semiri1316708129612266289at_nat @ N ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10262]) ).

thf(10415,plain,
    ( ( ( semiri1408675320244567234ct_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
      = ( numeral_numeral_nat @ ( bit0 @ one ) ) )
    = $true ),
    inference(copy,[status(thm)],[10261]) ).

thf(10416,plain,
    ( ( ( bitM @ one )
      = one )
    = $true ),
    inference(copy,[status(thm)],[10260]) ).

thf(10417,plain,
    ( ( ! [P: num > $o,X: num] :
          ( ( P @ one )
         => ( ! [X3: num] :
                ( ( P @ X3 )
               => ( P @ ( inc @ X3 ) ) )
           => ( P @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10259]) ).

thf(10418,plain,
    ( ( ( inc @ one )
      = ( bit0 @ one ) )
    = $true ),
    inference(copy,[status(thm)],[10258]) ).

thf(10419,plain,
    ( ( ! [X: num] :
          ( ( pow @ X @ one )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[10257]) ).

thf(10420,plain,
    ( ( ( bit_or_not_num_neg @ one @ one )
      = one )
    = $true ),
    inference(copy,[status(thm)],[10256]) ).

thf(10421,plain,
    ( ( ! [N: num] :
          ( ( bit_or_not_num_neg @ ( bit0 @ N ) @ one )
          = ( bit0 @ one ) ) )
    = $true ),
    inference(copy,[status(thm)],[10255]) ).

thf(10422,plain,
    ( ( ! [Q2: num] :
          ( ( num_of_nat @ ( numeral_numeral_nat @ Q2 ) )
          = Q2 ) )
    = $true ),
    inference(copy,[status(thm)],[10254]) ).

thf(10423,plain,
    ( ( ( sqr @ one )
      = one )
    = $true ),
    inference(copy,[status(thm)],[10253]) ).

thf(10424,plain,
    ( ( ! [N: num] :
          ( ( sqr @ ( bit0 @ N ) )
          = ( bit0 @ ( bit0 @ ( sqr @ N ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10252]) ).

thf(10425,plain,
    ( ( ! [P: $o] :
          ( ( P = $true )
          | ( P = $false ) ) )
    = $true ),
    inference(copy,[status(thm)],[10251]) ).

thf(10426,plain,
    ( ( ~ ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10338]) ).

thf(10427,plain,
    ( ( za != mi )
    = $true ),
    inference(unfold_def,[status(thm)],[10342]) ).

thf(10428,plain,
    ( ( za != ma )
    = $true ),
    inference(unfold_def,[status(thm)],[10355]) ).

thf(10429,plain,
    ( ( ! [SX0: num] :
          ( one
         != ( bit1 @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10408]) ).

thf(10430,plain,
    ( ( ! [SX0: vEBT_VEBT,SX1: nat] :
          ( ~ ( vEBT_VEBT_minNull @ SX0 )
          | ~ ( vEBT_vebt_member @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10351]) ).

thf(10431,plain,
    ( ( ! [SX0: num,SX1: num] :
          ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SX0 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SX1 ) ) )
         != ( modulo_modulo_nat @ ( numeral_numeral_nat @ one ) @ ( numeral_numeral_nat @ ( bit0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10393]) ).

thf(10432,plain,
    ( ( ! [SX0: num] :
          ( ~ ( ( SX0 != one ) )
          | ~ ! [SX1: num] :
                ( SX0
               != ( bit0 @ SX1 ) )
          | ~ ! [SX1: num] :
                ( SX0
               != ( bit1 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10411]) ).

thf(10433,plain,
    ( ( ! [SX0: nat,SX1: nat,SX2: nat] :
          ( ~ ( dvd_dvd_nat @ SX0 @ SX1 )
          | ~ ( dvd_dvd_nat @ SX0 @ SX2 )
          | ( ( dvd_dvd_nat @ ( divide_divide_nat @ SX1 @ SX0 ) @ ( divide_divide_nat @ SX2 @ SX0 ) )
            = ( dvd_dvd_nat @ SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10398]) ).

thf(10434,plain,
    ( ( ! [SX0: num] :
          ( ( bit0 @ SX0 )
         != one ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10345]) ).

thf(10435,plain,
    ( ( ! [SX0: num,SX1: num] :
          ( ( bit0 @ SX0 )
         != ( bit1 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10406]) ).

thf(10436,plain,
    ( ( ! [SX0: num,SX1: num] :
          ( ( bit0 @ SX0 )
         != ( bit1 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10409]) ).

thf(10437,plain,
    ( ( ( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
       != ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
      | ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10343]) ).

thf(10438,plain,
    ( ( ! [SX0: nat,SX1: nat,SX2: nat] :
          ( ~ ( dvd_dvd_nat @ SX0 @ SX1 )
          | ~ ( dvd_dvd_nat @ SX1 @ SX2 )
          | ( ( divide_divide_nat @ ( divide_divide_nat @ SX2 @ SX0 ) @ ( divide_divide_nat @ SX1 @ SX0 ) )
            = ( divide_divide_nat @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10401]) ).

thf(10439,plain,
    ( ( ! [SX0: nat,SX1: nat,SX2: nat] :
          ( ~ ( ord_less_eq_nat @ SX0 @ SX1 )
          | ( ord_less_eq_nat @ ( divide_divide_nat @ SX0 @ SX2 ) @ ( divide_divide_nat @ SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10354]) ).

thf(10440,plain,
    ( ( ! [SX0: num] :
          ( one
         != ( bit1 @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10410]) ).

thf(10441,plain,
    ( ( ! [SX0: num,SX1: num] :
          ( ( bit1 @ SX0 )
         != ( bit0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10405]) ).

thf(10442,plain,
    ( ( ! [SX0: num] :
          ( zero_zero_nat
         != ( numeral_numeral_nat @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10389]) ).

thf(10443,plain,
    ( ( ! [SX0: nat,SX1: nat] :
          ( ( ( divide_divide_nat @ SX0 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
           != ( divide_divide_nat @ SX1 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
          | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SX0 )
           != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SX1 ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10404]) ).

thf(10444,plain,
    ( ( ! [SX0: num] :
          ( one
         != ( bit0 @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10395]) ).

thf(10445,plain,
    ( ( ! [SX0: nat,SX1: nat,SX2: nat] :
          ( ( ( divide_divide_nat @ SX0 @ SX1 )
           != ( divide_divide_nat @ SX2 @ SX1 ) )
          | ~ ( dvd_dvd_nat @ SX1 @ SX0 )
          | ~ ( dvd_dvd_nat @ SX1 @ SX2 )
          | ( SX0 = SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10400]) ).

thf(10446,plain,
    ( ( ! [SX0: num] :
          ( ( bit1 @ SX0 )
         != one ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10407]) ).

thf(10447,plain,
    ( ( ! [SX0: nat,SX1: nat,SX2: list_VEBT_VEBT,SX3: vEBT_VEBT] :
          ( ~ ( ( SX0 != SX1 ) )
          | ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ SX2 @ SX0 @ SX3 ) @ SX1 )
            = ( nth_VEBT_VEBT @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10397]) ).

thf(10448,plain,
    ( ( ! [SX0: nat,SX1: nat,SX2: nat] :
          ( ~ ( dvd_dvd_nat @ SX0 @ SX1 )
          | ~ ( dvd_dvd_nat @ SX0 @ SX2 )
          | ( ( ( divide_divide_nat @ SX1 @ SX0 )
              = ( divide_divide_nat @ SX2 @ SX0 ) )
            = ( SX1 = SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10399]) ).

thf(10449,plain,
    ( ( ! [SX0: num,SX1: num] :
          ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ one ) @ ( numeral_numeral_nat @ ( bit0 @ SX0 ) ) )
         != ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SX1 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10392]) ).

thf(10450,plain,
    ( ( ( ^ [SX0: nat,SX1: nat] : ( SX0 = SX1 ) )
      = ( ^ [SX0: nat,SX1: nat] :
            ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SX0 )
               != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SX1 ) )
              | ( ( divide_divide_nat @ SX0 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
               != ( divide_divide_nat @ SX1 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10403]) ).

thf(10451,plain,
    ( ( ! [SX0: num > $o,SX1: num] :
          ( ~ ( SX0 @ one )
          | ~ ! [SX2: num] :
                ( ~ ( SX0 @ SX2 )
                | ( SX0 @ ( inc @ SX2 ) ) )
          | ( SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10417]) ).

thf(10452,plain,
    ( ( ! [SX0: num] :
          ( one
         != ( bit0 @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10346]) ).

thf(10453,plain,
    ! [SV1: nat] :
      ( ( ! [SY117: nat] :
            ( ( vEBT_VEBT_bit_concat @ ( vEBT_VEBT_high @ SV1 @ SY117 ) @ ( vEBT_VEBT_low @ SV1 @ SY117 ) @ SY117 )
            = SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10340]) ).

thf(10454,plain,
    ! [SV2: num] :
      ( ( ( divide_divide_nat @ ( numeral_numeral_nat @ ( bit0 @ SV2 ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
        = ( numeral_numeral_nat @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10349]) ).

thf(10455,plain,
    ( ( ! [SV3: nat] :
          ( ( vEBT_VEBT_high @ SV3 )
          = ( ^ [SY118: nat] : ( divide_divide_nat @ SV3 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SY118 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10350]) ).

thf(10456,plain,
    ( ( vEBT_VEBT_high
      = ( ^ [X2: nat,N2: nat] : ( divide_divide_nat @ X2 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ N2 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10350]) ).

thf(10457,plain,
    ! [SV4: num] :
      ( ( ! [SY119: num] :
            ( ( ( bit0 @ SV4 )
              = ( bit0 @ SY119 ) )
            = ( SV4 = SY119 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10352]) ).

thf(10458,plain,
    ! [SV5: nat] :
      ( ( ! [SY120: nat] : ( ord_less_eq_nat @ ( divide_divide_nat @ SV5 @ SY120 ) @ SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10353]) ).

thf(10459,plain,
    ! [SV6: num] :
      ( ( ! [SY121: num] :
            ( ( ( numeral_numeral_nat @ SV6 )
              = ( numeral_numeral_nat @ SY121 ) )
            = ( SV6 = SY121 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10356]) ).

thf(10460,plain,
    ! [SV7: num] :
      ( ( ! [SY122: num] :
            ( ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SY122 ) )
            = ( ord_less_num @ SV7 @ SY122 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10357]) ).

thf(10461,plain,
    ! [SV8: num] :
      ( ( ~ ( ord_less_num @ SV8 @ one ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10358]) ).

thf(10462,plain,
    ! [SV9: num] :
      ( ( ord_less_num @ one @ ( bit0 @ SV9 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10359]) ).

thf(10463,plain,
    ! [SV10: nat] :
      ( ( ( divide_divide_nat @ ( plus_plus_nat @ SV10 @ SV10 ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
        = SV10 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10360]) ).

thf(10464,plain,
    ! [SV11: num] :
      ( ( ( numeral_numeral_nat @ ( bit0 @ SV11 ) )
        = ( plus_plus_nat @ ( numeral_numeral_nat @ SV11 ) @ ( numeral_numeral_nat @ SV11 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10361]) ).

thf(10465,plain,
    ! [SV12: num] :
      ( ( ! [SY123: num] :
            ( ( plus_plus_num @ ( bit0 @ SV12 ) @ ( bit0 @ SY123 ) )
            = ( bit0 @ ( plus_plus_num @ SV12 @ SY123 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10362]) ).

thf(10466,plain,
    ! [SV13: num] :
      ( ( ! [SY124: num] :
            ( ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SY124 ) )
            = ( ord_less_eq_num @ SV13 @ SY124 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10363]) ).

thf(10467,plain,
    ! [SV14: num] :
      ( ( ord_less_eq_num @ one @ SV14 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10364]) ).

thf(10468,plain,
    ! [SV15: num] :
      ( ( ~ ( ord_less_eq_num @ ( bit0 @ SV15 ) @ one ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10366]) ).

thf(10469,plain,
    ! [SV16: num] :
      ( ( ( plus_plus_num @ one @ SV16 )
        = ( plus_plus_num @ SV16 @ one ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10367]) ).

thf(10470,plain,
    ! [SV17: num] :
      ( ( ( ord_less_eq_num @ SV17 @ one )
        = ( SV17 = one ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10368]) ).

thf(10471,plain,
    ! [SV18: nat] :
      ( ( ! [SY125: nat,SY126: nat] :
            ( ( divide_divide_nat @ SV18 @ ( times_times_nat @ SY125 @ SY126 ) )
            = ( divide_divide_nat @ ( divide_divide_nat @ SV18 @ SY125 ) @ SY126 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10369]) ).

thf(10472,plain,
    ! [SV19: nat] :
      ( ( ( times_times_nat @ SV19 @ ( numeral_numeral_nat @ one ) )
        = SV19 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10370]) ).

thf(10473,plain,
    ! [SV20: nat] :
      ( ( ( times_times_nat @ ( numeral_numeral_nat @ one ) @ SV20 )
        = SV20 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10371]) ).

thf(10474,plain,
    ! [SV21: num] :
      ( ( ! [SY127: num] :
            ( ( times_times_num @ ( bit0 @ SV21 ) @ ( bit0 @ SY127 ) )
            = ( bit0 @ ( bit0 @ ( times_times_num @ SV21 @ SY127 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10372]) ).

thf(10475,plain,
    ! [SV22: num] :
      ( ( ( times_times_num @ one @ SV22 )
        = SV22 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10373]) ).

thf(10476,plain,
    ! [SV23: num] :
      ( ( ( times_times_num @ SV23 @ one )
        = SV23 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10374]) ).

thf(10477,plain,
    ! [SV24: num] :
      ( ( ( times_times_num @ ( bit0 @ one ) @ SV24 )
        = ( bit0 @ SV24 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10375]) ).

thf(10478,plain,
    ! [SV25: nat] :
      ( ( ! [SY128: num,SY129: num] :
            ( ( divide_divide_nat @ ( divide_divide_nat @ SV25 @ ( numeral_numeral_nat @ SY128 ) ) @ ( numeral_numeral_nat @ SY129 ) )
            = ( divide_divide_nat @ SV25 @ ( numeral_numeral_nat @ ( times_times_num @ SY128 @ SY129 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10376]) ).

thf(10479,plain,
    ! [SV26: nat] :
      ( ( ( divide_divide_nat @ SV26 @ one_one_nat )
        = SV26 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10377]) ).

thf(10480,plain,
    ! [SV27: num] :
      ( ( ( one_one_nat
          = ( numeral_numeral_nat @ SV27 ) )
        = ( one = SV27 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10378]) ).

thf(10481,plain,
    ! [SV28: num] :
      ( ( ( ( numeral_numeral_nat @ SV28 )
          = one_one_nat )
        = ( SV28 = one ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10379]) ).

thf(10482,plain,
    ! [SV29: nat] :
      ( ( ( divide_divide_nat @ SV29 @ one_one_nat )
        = SV29 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10382]) ).

thf(10483,plain,
    ! [SV30: nat] :
      ( ( ( divide_divide_nat @ ( suc @ ( suc @ SV30 ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
        = ( suc @ ( divide_divide_nat @ SV30 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10383]) ).

thf(10484,plain,
    ! [SV31: num] :
      ( ( ( numeral_numeral_nat @ ( bit0 @ SV31 ) )
        = ( plus_plus_nat @ ( numeral_numeral_nat @ SV31 ) @ ( numeral_numeral_nat @ SV31 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10384]) ).

thf(10485,plain,
    ! [SV32: nat] :
      ( ( ( divide_divide_nat @ SV32 @ zero_zero_nat )
        = zero_zero_nat )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10385]) ).

thf(10486,plain,
    ! [SV33: nat] :
      ( ( ( divide_divide_nat @ zero_zero_nat @ SV33 )
        = zero_zero_nat )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10386]) ).

thf(10487,plain,
    ! [SV34: nat] :
      ( ( ( divide_divide_nat @ SV34 @ zero_zero_nat )
        = zero_zero_nat )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10387]) ).

thf(10488,plain,
    ! [SV35: nat] :
      ( ( ( divide_divide_nat @ zero_zero_nat @ SV35 )
        = zero_zero_nat )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10388]) ).

thf(10489,plain,
    ! [SV36: num] :
      ( ( ! [SY130: num,SY131: num] :
            ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SY130 ) ) )
              = ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SY131 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SY130 ) ) ) )
            = ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SY130 ) )
              = ( modulo_modulo_nat @ ( numeral_numeral_nat @ SY131 ) @ ( numeral_numeral_nat @ SY130 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10390]) ).

thf(10490,plain,
    ! [SV37: num] :
      ( ( ! [SY132: num] :
            ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV37 ) @ ( numeral_numeral_nat @ one ) )
            = ( modulo_modulo_nat @ ( numeral_numeral_nat @ SY132 ) @ ( numeral_numeral_nat @ one ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10391]) ).

thf(10491,plain,
    ! [SV38: num] :
      ( ( ! [SY133: num] :
            ( ( ( bit0 @ SV38 )
              = ( bit0 @ SY133 ) )
            = ( SV38 = SY133 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10394]) ).

thf(10492,plain,
    ! [SV39: list_VEBT_VEBT] :
      ( ( ! [SY134: nat] :
            ( ( list_u1324408373059187874T_VEBT @ SV39 @ SY134 @ ( nth_VEBT_VEBT @ SV39 @ SY134 ) )
            = SV39 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10396]) ).

thf(10493,plain,
    ! [SV40: num] :
      ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV40 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10402]) ).

thf(10494,plain,
    ! [SV41: num] :
      ( ( ( divide_divide_nat @ ( numeral_numeral_nat @ ( bit1 @ SV41 ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
        = ( numeral_numeral_nat @ SV41 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10412]) ).

thf(10495,plain,
    ! [SV42: num] :
      ( ( ( semiri1316708129612266289at_nat @ ( numeral_numeral_nat @ SV42 ) )
        = ( numeral_numeral_nat @ SV42 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10413]) ).

thf(10496,plain,
    ! [SV43: nat] :
      ( ( ! [SY135: nat] :
            ( ( semiri1316708129612266289at_nat @ ( divide_divide_nat @ SV43 @ SY135 ) )
            = ( divide_divide_nat @ ( semiri1316708129612266289at_nat @ SV43 ) @ ( semiri1316708129612266289at_nat @ SY135 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10414]) ).

thf(10497,plain,
    ! [SV44: num] :
      ( ( ( pow @ SV44 @ one )
        = SV44 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10419]) ).

thf(10498,plain,
    ! [SV45: num] :
      ( ( ( bit_or_not_num_neg @ ( bit0 @ SV45 ) @ one )
        = ( bit0 @ one ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10421]) ).

thf(10499,plain,
    ! [SV46: num] :
      ( ( ( num_of_nat @ ( numeral_numeral_nat @ SV46 ) )
        = SV46 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10422]) ).

thf(10500,plain,
    ! [SV47: num] :
      ( ( ( sqr @ ( bit0 @ SV47 ) )
        = ( bit0 @ ( bit0 @ ( sqr @ SV47 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10424]) ).

thf(10501,plain,
    ! [SV48: $o] :
      ( ( ( SV48 = $true )
        | ( SV48 = $false ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[10425]) ).

thf(10502,plain,
    ( ( ( $true = $true )
      | ( $true = $false ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[10425]) ).

thf(10503,plain,
    ( ( ( $false = $true )
      | ( $false = $false ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[10425]) ).

thf(10504,plain,
    ( ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[10426]) ).

thf(10505,plain,
    ( ( za = mi )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[10427]) ).

thf(10506,plain,
    ( ( za = ma )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[10428]) ).

thf(10507,plain,
    ! [SV49: num] :
      ( ( one
       != ( bit1 @ SV49 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10429]) ).

thf(10508,plain,
    ! [SV50: vEBT_VEBT] :
      ( ( ! [SY136: nat] :
            ( ~ ( vEBT_VEBT_minNull @ SV50 )
            | ~ ( vEBT_vebt_member @ SV50 @ SY136 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10430]) ).

thf(10509,plain,
    ! [SV51: num] :
      ( ( ! [SY137: num] :
            ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV51 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SY137 ) ) )
           != ( modulo_modulo_nat @ ( numeral_numeral_nat @ one ) @ ( numeral_numeral_nat @ ( bit0 @ SY137 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10431]) ).

thf(10510,plain,
    ! [SV52: num] :
      ( ( ~ ( ( SV52 != one ) )
        | ~ ! [SY138: num] :
              ( SV52
             != ( bit0 @ SY138 ) )
        | ~ ! [SY139: num] :
              ( SV52
             != ( bit1 @ SY139 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10432]) ).

thf(10511,plain,
    ! [SV53: nat] :
      ( ( ! [SY140: nat,SY141: nat] :
            ( ~ ( dvd_dvd_nat @ SV53 @ SY140 )
            | ~ ( dvd_dvd_nat @ SV53 @ SY141 )
            | ( ( dvd_dvd_nat @ ( divide_divide_nat @ SY140 @ SV53 ) @ ( divide_divide_nat @ SY141 @ SV53 ) )
              = ( dvd_dvd_nat @ SY140 @ SY141 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10433]) ).

thf(10512,plain,
    ! [SV54: num] :
      ( ( ( bit0 @ SV54 )
       != one )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10434]) ).

thf(10513,plain,
    ! [SV55: num] :
      ( ( ! [SY142: num] :
            ( ( bit0 @ SV55 )
           != ( bit1 @ SY142 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10435]) ).

thf(10514,plain,
    ! [SV56: num] :
      ( ( ! [SY143: num] :
            ( ( bit0 @ SV56 )
           != ( bit1 @ SY143 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10436]) ).

thf(10515,plain,
    ( ( ( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
       != ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
      = $true )
    | ( ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10437]) ).

thf(10516,plain,
    ! [SV57: nat] :
      ( ( ! [SY144: nat,SY145: nat] :
            ( ~ ( dvd_dvd_nat @ SV57 @ SY144 )
            | ~ ( dvd_dvd_nat @ SY144 @ SY145 )
            | ( ( divide_divide_nat @ ( divide_divide_nat @ SY145 @ SV57 ) @ ( divide_divide_nat @ SY144 @ SV57 ) )
              = ( divide_divide_nat @ SY145 @ SY144 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10438]) ).

thf(10517,plain,
    ! [SV58: nat] :
      ( ( ! [SY146: nat,SY147: nat] :
            ( ~ ( ord_less_eq_nat @ SV58 @ SY146 )
            | ( ord_less_eq_nat @ ( divide_divide_nat @ SV58 @ SY147 ) @ ( divide_divide_nat @ SY146 @ SY147 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10439]) ).

thf(10518,plain,
    ! [SV59: num] :
      ( ( one
       != ( bit1 @ SV59 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10440]) ).

thf(10519,plain,
    ! [SV60: num] :
      ( ( ! [SY148: num] :
            ( ( bit1 @ SV60 )
           != ( bit0 @ SY148 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10441]) ).

thf(10520,plain,
    ! [SV61: num] :
      ( ( zero_zero_nat
       != ( numeral_numeral_nat @ SV61 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10442]) ).

thf(10521,plain,
    ! [SV62: nat] :
      ( ( ! [SY149: nat] :
            ( ( ( divide_divide_nat @ SV62 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
             != ( divide_divide_nat @ SY149 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
            | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV62 )
             != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SY149 ) )
            | ( SV62 = SY149 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10443]) ).

thf(10522,plain,
    ! [SV63: num] :
      ( ( one
       != ( bit0 @ SV63 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10444]) ).

thf(10523,plain,
    ! [SV64: nat] :
      ( ( ! [SY150: nat,SY151: nat] :
            ( ( ( divide_divide_nat @ SV64 @ SY150 )
             != ( divide_divide_nat @ SY151 @ SY150 ) )
            | ~ ( dvd_dvd_nat @ SY150 @ SV64 )
            | ~ ( dvd_dvd_nat @ SY150 @ SY151 )
            | ( SV64 = SY151 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10445]) ).

thf(10524,plain,
    ! [SV65: num] :
      ( ( ( bit1 @ SV65 )
       != one )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10446]) ).

thf(10525,plain,
    ! [SV66: nat] :
      ( ( ! [SY152: nat,SY153: list_VEBT_VEBT,SY154: vEBT_VEBT] :
            ( ~ ( ( SV66 != SY152 ) )
            | ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ SY153 @ SV66 @ SY154 ) @ SY152 )
              = ( nth_VEBT_VEBT @ SY153 @ SY152 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10447]) ).

thf(10526,plain,
    ! [SV67: nat] :
      ( ( ! [SY155: nat,SY156: nat] :
            ( ~ ( dvd_dvd_nat @ SV67 @ SY155 )
            | ~ ( dvd_dvd_nat @ SV67 @ SY156 )
            | ( ( ( divide_divide_nat @ SY155 @ SV67 )
                = ( divide_divide_nat @ SY156 @ SV67 ) )
              = ( SY155 = SY156 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10448]) ).

thf(10527,plain,
    ! [SV68: num] :
      ( ( ! [SY157: num] :
            ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ one ) @ ( numeral_numeral_nat @ ( bit0 @ SV68 ) ) )
           != ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SY157 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV68 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10449]) ).

thf(10528,plain,
    ( ( ! [SV69: nat] :
          ( ( ^ [SY158: nat] : ( SV69 = SY158 ) )
          = ( ^ [SY159: nat] :
                ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV69 )
                   != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SY159 ) )
                  | ( ( divide_divide_nat @ SV69 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                   != ( divide_divide_nat @ SY159 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10450]) ).

thf(10529,plain,
    ( ( ( ^ [SX0: nat,SX1: nat] : ( SX0 = SX1 ) )
      = ( ^ [SX0: nat,SX1: nat] :
            ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SX0 )
               != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SX1 ) )
              | ( ( divide_divide_nat @ SX0 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
               != ( divide_divide_nat @ SX1 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10450]) ).

thf(10530,plain,
    ! [SV70: num > $o] :
      ( ( ! [SY160: num] :
            ( ~ ( SV70 @ one )
            | ~ ! [SY161: num] :
                  ( ~ ( SV70 @ SY161 )
                  | ( SV70 @ ( inc @ SY161 ) ) )
            | ( SV70 @ SY160 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10451]) ).

thf(10531,plain,
    ! [SV71: num] :
      ( ( one
       != ( bit0 @ SV71 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10452]) ).

thf(10532,plain,
    ! [SV72: nat,SV1: nat] :
      ( ( ( vEBT_VEBT_bit_concat @ ( vEBT_VEBT_high @ SV1 @ SV72 ) @ ( vEBT_VEBT_low @ SV1 @ SV72 ) @ SV72 )
        = SV1 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10453]) ).

thf(10533,plain,
    ! [SV73: nat] :
      ( ( ( vEBT_VEBT_high @ SV73 )
        = ( ^ [SY162: nat] : ( divide_divide_nat @ SV73 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SY162 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10455]) ).

thf(10534,plain,
    ! [SV74: num,SV4: num] :
      ( ( ( ( bit0 @ SV4 )
          = ( bit0 @ SV74 ) )
        = ( SV4 = SV74 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10457]) ).

thf(10535,plain,
    ! [SV75: nat,SV5: nat] :
      ( ( ord_less_eq_nat @ ( divide_divide_nat @ SV5 @ SV75 ) @ SV5 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10458]) ).

thf(10536,plain,
    ! [SV76: num,SV6: num] :
      ( ( ( ( numeral_numeral_nat @ SV6 )
          = ( numeral_numeral_nat @ SV76 ) )
        = ( SV6 = SV76 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10459]) ).

thf(10537,plain,
    ! [SV77: num,SV7: num] :
      ( ( ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) )
        = ( ord_less_num @ SV7 @ SV77 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10460]) ).

thf(10538,plain,
    ! [SV8: num] :
      ( ( ord_less_num @ SV8 @ one )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[10461]) ).

thf(10539,plain,
    ! [SV78: num,SV12: num] :
      ( ( ( plus_plus_num @ ( bit0 @ SV12 ) @ ( bit0 @ SV78 ) )
        = ( bit0 @ ( plus_plus_num @ SV12 @ SV78 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10465]) ).

thf(10540,plain,
    ! [SV79: num,SV13: num] :
      ( ( ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) )
        = ( ord_less_eq_num @ SV13 @ SV79 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10466]) ).

thf(10541,plain,
    ! [SV15: num] :
      ( ( ord_less_eq_num @ ( bit0 @ SV15 ) @ one )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[10468]) ).

thf(10542,plain,
    ! [SV17: num] :
      ( ( ~ ( ( ord_less_eq_num @ SV17 @ one )
            | ( SV17 = one ) )
        | ~ ( ~ ( ord_less_eq_num @ SV17 @ one )
            | ( SV17 != one ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10470]) ).

thf(10543,plain,
    ! [SV17: num] :
      ( ( ( ord_less_eq_num @ SV17 @ one )
        = ( SV17 = one ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10470]) ).

thf(10544,plain,
    ! [SV80: nat,SV18: nat] :
      ( ( ! [SY163: nat] :
            ( ( divide_divide_nat @ SV18 @ ( times_times_nat @ SV80 @ SY163 ) )
            = ( divide_divide_nat @ ( divide_divide_nat @ SV18 @ SV80 ) @ SY163 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10471]) ).

thf(10545,plain,
    ! [SV81: num,SV21: num] :
      ( ( ( times_times_num @ ( bit0 @ SV21 ) @ ( bit0 @ SV81 ) )
        = ( bit0 @ ( bit0 @ ( times_times_num @ SV21 @ SV81 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10474]) ).

thf(10546,plain,
    ! [SV82: num,SV25: nat] :
      ( ( ! [SY164: num] :
            ( ( divide_divide_nat @ ( divide_divide_nat @ SV25 @ ( numeral_numeral_nat @ SV82 ) ) @ ( numeral_numeral_nat @ SY164 ) )
            = ( divide_divide_nat @ SV25 @ ( numeral_numeral_nat @ ( times_times_num @ SV82 @ SY164 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10478]) ).

thf(10547,plain,
    ! [SV27: num] :
      ( ( ~ ( ( one_one_nat
              = ( numeral_numeral_nat @ SV27 ) )
            | ( one = SV27 ) )
        | ~ ( ( one_one_nat
             != ( numeral_numeral_nat @ SV27 ) )
            | ( one != SV27 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10480]) ).

thf(10548,plain,
    ! [SV27: num] :
      ( ( ( one_one_nat
          = ( numeral_numeral_nat @ SV27 ) )
        = ( one = SV27 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10480]) ).

thf(10549,plain,
    ! [SV28: num] :
      ( ( ~ ( ( ( numeral_numeral_nat @ SV28 )
              = one_one_nat )
            | ( SV28 = one ) )
        | ~ ( ( ( numeral_numeral_nat @ SV28 )
             != one_one_nat )
            | ( SV28 != one ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10481]) ).

thf(10550,plain,
    ! [SV28: num] :
      ( ( ( ( numeral_numeral_nat @ SV28 )
          = one_one_nat )
        = ( SV28 = one ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10481]) ).

thf(10551,plain,
    ! [SV83: num,SV36: num] :
      ( ( ! [SY165: num] :
            ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
              = ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SY165 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
            = ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
              = ( modulo_modulo_nat @ ( numeral_numeral_nat @ SY165 ) @ ( numeral_numeral_nat @ SV83 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10489]) ).

thf(10552,plain,
    ! [SV84: num,SV37: num] :
      ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV37 ) @ ( numeral_numeral_nat @ one ) )
        = ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV84 ) @ ( numeral_numeral_nat @ one ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10490]) ).

thf(10553,plain,
    ! [SV85: num,SV38: num] :
      ( ( ( ( bit0 @ SV38 )
          = ( bit0 @ SV85 ) )
        = ( SV38 = SV85 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10491]) ).

thf(10554,plain,
    ! [SV86: nat,SV39: list_VEBT_VEBT] :
      ( ( ( list_u1324408373059187874T_VEBT @ SV39 @ SV86 @ ( nth_VEBT_VEBT @ SV39 @ SV86 ) )
        = SV39 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10492]) ).

thf(10555,plain,
    ! [SV87: nat,SV43: nat] :
      ( ( ( semiri1316708129612266289at_nat @ ( divide_divide_nat @ SV43 @ SV87 ) )
        = ( divide_divide_nat @ ( semiri1316708129612266289at_nat @ SV43 ) @ ( semiri1316708129612266289at_nat @ SV87 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10496]) ).

thf(10556,plain,
    ! [SV48: $o] :
      ( ( ( SV48 = $true )
        = $true )
      | ( ( SV48 = $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10501]) ).

thf(10557,plain,
    ( ( ( $true = $true )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10502]) ).

thf(10558,plain,
    ( ( ( $false = $true )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10503]) ).

thf(10559,plain,
    ! [SV49: num] :
      ( ( one
        = ( bit1 @ SV49 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[10507]) ).

thf(10560,plain,
    ! [SV88: nat,SV50: vEBT_VEBT] :
      ( ( ~ ( vEBT_VEBT_minNull @ SV50 )
        | ~ ( vEBT_vebt_member @ SV50 @ SV88 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10508]) ).

thf(10561,plain,
    ! [SV89: num,SV51: num] :
      ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV51 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV89 ) ) )
       != ( modulo_modulo_nat @ ( numeral_numeral_nat @ one ) @ ( numeral_numeral_nat @ ( bit0 @ SV89 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10509]) ).

thf(10562,plain,
    ! [SV52: num] :
      ( ( ( ~ ( ( SV52 != one ) ) )
        = $true )
      | ( ( ~ ! [SY138: num] :
                ( SV52
               != ( bit0 @ SY138 ) )
          | ~ ! [SY139: num] :
                ( SV52
               != ( bit1 @ SY139 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10510]) ).

thf(10563,plain,
    ! [SV90: nat,SV53: nat] :
      ( ( ! [SY166: nat] :
            ( ~ ( dvd_dvd_nat @ SV53 @ SV90 )
            | ~ ( dvd_dvd_nat @ SV53 @ SY166 )
            | ( ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SY166 @ SV53 ) )
              = ( dvd_dvd_nat @ SV90 @ SY166 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10511]) ).

thf(10564,plain,
    ! [SV54: num] :
      ( ( ( bit0 @ SV54 )
        = one )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[10512]) ).

thf(10565,plain,
    ! [SV91: num,SV55: num] :
      ( ( ( bit0 @ SV55 )
       != ( bit1 @ SV91 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10513]) ).

thf(10566,plain,
    ! [SV92: num,SV56: num] :
      ( ( ( bit0 @ SV56 )
       != ( bit1 @ SV92 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10514]) ).

thf(10567,plain,
    ( ( ( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
      = $false )
    | ( ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10515]) ).

thf(10568,plain,
    ! [SV93: nat,SV57: nat] :
      ( ( ! [SY167: nat] :
            ( ~ ( dvd_dvd_nat @ SV57 @ SV93 )
            | ~ ( dvd_dvd_nat @ SV93 @ SY167 )
            | ( ( divide_divide_nat @ ( divide_divide_nat @ SY167 @ SV57 ) @ ( divide_divide_nat @ SV93 @ SV57 ) )
              = ( divide_divide_nat @ SY167 @ SV93 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10516]) ).

thf(10569,plain,
    ! [SV94: nat,SV58: nat] :
      ( ( ! [SY168: nat] :
            ( ~ ( ord_less_eq_nat @ SV58 @ SV94 )
            | ( ord_less_eq_nat @ ( divide_divide_nat @ SV58 @ SY168 ) @ ( divide_divide_nat @ SV94 @ SY168 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10517]) ).

thf(10570,plain,
    ! [SV59: num] :
      ( ( one
        = ( bit1 @ SV59 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[10518]) ).

thf(10571,plain,
    ! [SV95: num,SV60: num] :
      ( ( ( bit1 @ SV60 )
       != ( bit0 @ SV95 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10519]) ).

thf(10572,plain,
    ! [SV61: num] :
      ( ( zero_zero_nat
        = ( numeral_numeral_nat @ SV61 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[10520]) ).

thf(10573,plain,
    ! [SV96: nat,SV62: nat] :
      ( ( ( ( divide_divide_nat @ SV62 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
         != ( divide_divide_nat @ SV96 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV62 )
         != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV96 ) )
        | ( SV62 = SV96 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10521]) ).

thf(10574,plain,
    ! [SV63: num] :
      ( ( one
        = ( bit0 @ SV63 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[10522]) ).

thf(10575,plain,
    ! [SV97: nat,SV64: nat] :
      ( ( ! [SY169: nat] :
            ( ( ( divide_divide_nat @ SV64 @ SV97 )
             != ( divide_divide_nat @ SY169 @ SV97 ) )
            | ~ ( dvd_dvd_nat @ SV97 @ SV64 )
            | ~ ( dvd_dvd_nat @ SV97 @ SY169 )
            | ( SV64 = SY169 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10523]) ).

thf(10576,plain,
    ! [SV65: num] :
      ( ( ( bit1 @ SV65 )
        = one )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[10524]) ).

thf(10577,plain,
    ! [SV98: nat,SV66: nat] :
      ( ( ! [SY170: list_VEBT_VEBT,SY171: vEBT_VEBT] :
            ( ~ ( ( SV66 != SV98 ) )
            | ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ SY170 @ SV66 @ SY171 ) @ SV98 )
              = ( nth_VEBT_VEBT @ SY170 @ SV98 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10525]) ).

thf(10578,plain,
    ! [SV99: nat,SV67: nat] :
      ( ( ! [SY172: nat] :
            ( ~ ( dvd_dvd_nat @ SV67 @ SV99 )
            | ~ ( dvd_dvd_nat @ SV67 @ SY172 )
            | ( ( ( divide_divide_nat @ SV99 @ SV67 )
                = ( divide_divide_nat @ SY172 @ SV67 ) )
              = ( SV99 = SY172 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10526]) ).

thf(10579,plain,
    ! [SV100: num,SV68: num] :
      ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ one ) @ ( numeral_numeral_nat @ ( bit0 @ SV68 ) ) )
       != ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV100 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV68 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10527]) ).

thf(10580,plain,
    ! [SV101: nat] :
      ( ( ( ^ [SY173: nat] : ( SV101 = SY173 ) )
        = ( ^ [SY174: nat] :
              ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                 != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SY174 ) )
                | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                 != ( divide_divide_nat @ SY174 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10528]) ).

thf(10581,plain,
    ! [SV102: num,SV70: num > $o] :
      ( ( ~ ( SV70 @ one )
        | ~ ! [SY161: num] :
              ( ~ ( SV70 @ SY161 )
              | ( SV70 @ ( inc @ SY161 ) ) )
        | ( SV70 @ SV102 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10530]) ).

thf(10582,plain,
    ! [SV71: num] :
      ( ( one
        = ( bit0 @ SV71 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[10531]) ).

thf(10583,plain,
    ! [SV73: nat] :
      ( ( ! [SV103: nat] :
            ( ( vEBT_VEBT_high @ SV73 @ SV103 )
            = ( divide_divide_nat @ SV73 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV103 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10533]) ).

thf(10584,plain,
    ! [SV73: nat] :
      ( ( ( vEBT_VEBT_high @ SV73 )
        = ( ^ [SY162: nat] : ( divide_divide_nat @ SV73 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SY162 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10533]) ).

thf(10585,plain,
    ! [SV74: num,SV4: num] :
      ( ( ~ ( ( ( bit0 @ SV4 )
              = ( bit0 @ SV74 ) )
            | ( SV4 = SV74 ) )
        | ~ ( ( ( bit0 @ SV4 )
             != ( bit0 @ SV74 ) )
            | ( SV4 != SV74 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10534]) ).

thf(10586,plain,
    ! [SV74: num,SV4: num] :
      ( ( ( ( bit0 @ SV4 )
          = ( bit0 @ SV74 ) )
        = ( SV4 = SV74 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10534]) ).

thf(10587,plain,
    ! [SV76: num,SV6: num] :
      ( ( ~ ( ( ( numeral_numeral_nat @ SV6 )
              = ( numeral_numeral_nat @ SV76 ) )
            | ( SV6 = SV76 ) )
        | ~ ( ( ( numeral_numeral_nat @ SV6 )
             != ( numeral_numeral_nat @ SV76 ) )
            | ( SV6 != SV76 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10536]) ).

thf(10588,plain,
    ! [SV76: num,SV6: num] :
      ( ( ( ( numeral_numeral_nat @ SV6 )
          = ( numeral_numeral_nat @ SV76 ) )
        = ( SV6 = SV76 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10536]) ).

thf(10589,plain,
    ! [SV77: num,SV7: num] :
      ( ( ~ ( ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) )
            | ( ord_less_num @ SV7 @ SV77 ) )
        | ~ ( ~ ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) )
            | ~ ( ord_less_num @ SV7 @ SV77 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10537]) ).

thf(10590,plain,
    ! [SV77: num,SV7: num] :
      ( ( ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) )
        = ( ord_less_num @ SV7 @ SV77 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10537]) ).

thf(10591,plain,
    ! [SV79: num,SV13: num] :
      ( ( ~ ( ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) )
            | ( ord_less_eq_num @ SV13 @ SV79 ) )
        | ~ ( ~ ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) )
            | ~ ( ord_less_eq_num @ SV13 @ SV79 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10540]) ).

thf(10592,plain,
    ! [SV79: num,SV13: num] :
      ( ( ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) )
        = ( ord_less_eq_num @ SV13 @ SV79 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10540]) ).

thf(10593,plain,
    ! [SV17: num] :
      ( ( ( ~ ( ( ord_less_eq_num @ SV17 @ one )
              | ( SV17 = one ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_num @ SV17 @ one )
              | ( SV17 != one ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10542]) ).

thf(10594,plain,
    ! [SV104: nat,SV80: nat,SV18: nat] :
      ( ( ( divide_divide_nat @ SV18 @ ( times_times_nat @ SV80 @ SV104 ) )
        = ( divide_divide_nat @ ( divide_divide_nat @ SV18 @ SV80 ) @ SV104 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10544]) ).

thf(10595,plain,
    ! [SV105: num,SV82: num,SV25: nat] :
      ( ( ( divide_divide_nat @ ( divide_divide_nat @ SV25 @ ( numeral_numeral_nat @ SV82 ) ) @ ( numeral_numeral_nat @ SV105 ) )
        = ( divide_divide_nat @ SV25 @ ( numeral_numeral_nat @ ( times_times_num @ SV82 @ SV105 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10546]) ).

thf(10596,plain,
    ! [SV27: num] :
      ( ( ( ~ ( ( one_one_nat
                = ( numeral_numeral_nat @ SV27 ) )
              | ( one = SV27 ) ) )
        = $true )
      | ( ( ~ ( ( one_one_nat
               != ( numeral_numeral_nat @ SV27 ) )
              | ( one != SV27 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10547]) ).

thf(10597,plain,
    ! [SV28: num] :
      ( ( ( ~ ( ( ( numeral_numeral_nat @ SV28 )
                = one_one_nat )
              | ( SV28 = one ) ) )
        = $true )
      | ( ( ~ ( ( ( numeral_numeral_nat @ SV28 )
               != one_one_nat )
              | ( SV28 != one ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10549]) ).

thf(10598,plain,
    ! [SV106: num,SV83: num,SV36: num] :
      ( ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
        = ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10551]) ).

thf(10599,plain,
    ! [SV85: num,SV38: num] :
      ( ( ~ ( ( ( bit0 @ SV38 )
              = ( bit0 @ SV85 ) )
            | ( SV38 = SV85 ) )
        | ~ ( ( ( bit0 @ SV38 )
             != ( bit0 @ SV85 ) )
            | ( SV38 != SV85 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10553]) ).

thf(10600,plain,
    ! [SV85: num,SV38: num] :
      ( ( ( ( bit0 @ SV38 )
          = ( bit0 @ SV85 ) )
        = ( SV38 = SV85 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10553]) ).

thf(10601,plain,
    ! [SV48: $o] :
      ( ( ( ~ ( SV48
              | $true )
          | ~ ( ~ SV48
              | ~ $true ) )
        = $true )
      | ( ( SV48 = $false )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10556]) ).

thf(10602,plain,
    ! [SV48: $o] :
      ( ( ( SV48 = $true )
        = $true )
      | ( ( SV48 = $false )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10556]) ).

thf(10603,plain,
    ( ( ( ~ ( $true
            | $true )
        | ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10557]) ).

thf(10604,plain,
    ( ( ( $true = $true )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10557]) ).

thf(10605,plain,
    ( ( ( ~ ( $false
            | $true )
        | ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10558]) ).

thf(10606,plain,
    ( ( ( $false = $true )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10558]) ).

thf(10607,plain,
    ! [SV88: nat,SV50: vEBT_VEBT] :
      ( ( ( ~ ( vEBT_VEBT_minNull @ SV50 ) )
        = $true )
      | ( ( ~ ( vEBT_vebt_member @ SV50 @ SV88 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10560]) ).

thf(10608,plain,
    ! [SV89: num,SV51: num] :
      ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV51 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV89 ) ) )
        = ( modulo_modulo_nat @ ( numeral_numeral_nat @ one ) @ ( numeral_numeral_nat @ ( bit0 @ SV89 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[10561]) ).

thf(10609,plain,
    ! [SV52: num] :
      ( ( ( SV52 != one )
        = $false )
      | ( ( ~ ! [SY138: num] :
                ( SV52
               != ( bit0 @ SY138 ) )
          | ~ ! [SY139: num] :
                ( SV52
               != ( bit1 @ SY139 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10562]) ).

thf(10610,plain,
    ! [SV107: nat,SV90: nat,SV53: nat] :
      ( ( ~ ( dvd_dvd_nat @ SV53 @ SV90 )
        | ~ ( dvd_dvd_nat @ SV53 @ SV107 )
        | ( ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
          = ( dvd_dvd_nat @ SV90 @ SV107 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10563]) ).

thf(10611,plain,
    ! [SV91: num,SV55: num] :
      ( ( ( bit0 @ SV55 )
        = ( bit1 @ SV91 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[10565]) ).

thf(10612,plain,
    ! [SV92: num,SV56: num] :
      ( ( ( bit0 @ SV56 )
        = ( bit1 @ SV92 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[10566]) ).

thf(10613,plain,
    ! [SV108: nat,SV93: nat,SV57: nat] :
      ( ( ~ ( dvd_dvd_nat @ SV57 @ SV93 )
        | ~ ( dvd_dvd_nat @ SV93 @ SV108 )
        | ( ( divide_divide_nat @ ( divide_divide_nat @ SV108 @ SV57 ) @ ( divide_divide_nat @ SV93 @ SV57 ) )
          = ( divide_divide_nat @ SV108 @ SV93 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10568]) ).

thf(10614,plain,
    ! [SV109: nat,SV94: nat,SV58: nat] :
      ( ( ~ ( ord_less_eq_nat @ SV58 @ SV94 )
        | ( ord_less_eq_nat @ ( divide_divide_nat @ SV58 @ SV109 ) @ ( divide_divide_nat @ SV94 @ SV109 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10569]) ).

thf(10615,plain,
    ! [SV95: num,SV60: num] :
      ( ( ( bit1 @ SV60 )
        = ( bit0 @ SV95 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[10571]) ).

thf(10616,plain,
    ! [SV96: nat,SV62: nat] :
      ( ( ( ( divide_divide_nat @ SV62 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
         != ( divide_divide_nat @ SV96 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $true )
      | ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV62 )
           != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV96 ) )
          | ( SV62 = SV96 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10573]) ).

thf(10617,plain,
    ! [SV110: nat,SV97: nat,SV64: nat] :
      ( ( ( ( divide_divide_nat @ SV64 @ SV97 )
         != ( divide_divide_nat @ SV110 @ SV97 ) )
        | ~ ( dvd_dvd_nat @ SV97 @ SV64 )
        | ~ ( dvd_dvd_nat @ SV97 @ SV110 )
        | ( SV64 = SV110 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10575]) ).

thf(10618,plain,
    ! [SV111: list_VEBT_VEBT,SV98: nat,SV66: nat] :
      ( ( ! [SY176: vEBT_VEBT] :
            ( ~ ( ( SV66 != SV98 ) )
            | ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ SV111 @ SV66 @ SY176 ) @ SV98 )
              = ( nth_VEBT_VEBT @ SV111 @ SV98 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10577]) ).

thf(10619,plain,
    ! [SV112: nat,SV99: nat,SV67: nat] :
      ( ( ~ ( dvd_dvd_nat @ SV67 @ SV99 )
        | ~ ( dvd_dvd_nat @ SV67 @ SV112 )
        | ( ( ( divide_divide_nat @ SV99 @ SV67 )
            = ( divide_divide_nat @ SV112 @ SV67 ) )
          = ( SV99 = SV112 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10578]) ).

thf(10620,plain,
    ! [SV100: num,SV68: num] :
      ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ one ) @ ( numeral_numeral_nat @ ( bit0 @ SV68 ) ) )
        = ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV100 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV68 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[10579]) ).

thf(10621,plain,
    ! [SV101: nat] :
      ( ( ! [SV113: nat] :
            ( ( SV101 = SV113 )
            = ( ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                   != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV113 ) )
                  | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                   != ( divide_divide_nat @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10580]) ).

thf(10622,plain,
    ! [SV101: nat] :
      ( ( ( ^ [SY173: nat] : ( SV101 = SY173 ) )
        = ( ^ [SY174: nat] :
              ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                 != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SY174 ) )
                | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                 != ( divide_divide_nat @ SY174 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10580]) ).

thf(10623,plain,
    ! [SV102: num,SV70: num > $o] :
      ( ( ( ~ ( SV70 @ one ) )
        = $true )
      | ( ( ~ ! [SY161: num] :
                ( ~ ( SV70 @ SY161 )
                | ( SV70 @ ( inc @ SY161 ) ) )
          | ( SV70 @ SV102 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10581]) ).

thf(10624,plain,
    ! [SV114: nat,SV73: nat] :
      ( ( ( vEBT_VEBT_high @ SV73 @ SV114 )
        = ( divide_divide_nat @ SV73 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV114 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10583]) ).

thf(10625,plain,
    ! [SV74: num,SV4: num] :
      ( ( ( ~ ( ( ( bit0 @ SV4 )
                = ( bit0 @ SV74 ) )
              | ( SV4 = SV74 ) ) )
        = $true )
      | ( ( ~ ( ( ( bit0 @ SV4 )
               != ( bit0 @ SV74 ) )
              | ( SV4 != SV74 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10585]) ).

thf(10626,plain,
    ! [SV76: num,SV6: num] :
      ( ( ( ~ ( ( ( numeral_numeral_nat @ SV6 )
                = ( numeral_numeral_nat @ SV76 ) )
              | ( SV6 = SV76 ) ) )
        = $true )
      | ( ( ~ ( ( ( numeral_numeral_nat @ SV6 )
               != ( numeral_numeral_nat @ SV76 ) )
              | ( SV6 != SV76 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10587]) ).

thf(10627,plain,
    ! [SV77: num,SV7: num] :
      ( ( ( ~ ( ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) )
              | ( ord_less_num @ SV7 @ SV77 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) )
              | ~ ( ord_less_num @ SV7 @ SV77 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10589]) ).

thf(10628,plain,
    ! [SV79: num,SV13: num] :
      ( ( ( ~ ( ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) )
              | ( ord_less_eq_num @ SV13 @ SV79 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) )
              | ~ ( ord_less_eq_num @ SV13 @ SV79 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10591]) ).

thf(10629,plain,
    ! [SV17: num] :
      ( ( ( ( ord_less_eq_num @ SV17 @ one )
          | ( SV17 = one ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_num @ SV17 @ one )
              | ( SV17 != one ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10593]) ).

thf(10630,plain,
    ! [SV27: num] :
      ( ( ( ( one_one_nat
            = ( numeral_numeral_nat @ SV27 ) )
          | ( one = SV27 ) )
        = $false )
      | ( ( ~ ( ( one_one_nat
               != ( numeral_numeral_nat @ SV27 ) )
              | ( one != SV27 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10596]) ).

thf(10631,plain,
    ! [SV28: num] :
      ( ( ( ( ( numeral_numeral_nat @ SV28 )
            = one_one_nat )
          | ( SV28 = one ) )
        = $false )
      | ( ( ~ ( ( ( numeral_numeral_nat @ SV28 )
               != one_one_nat )
              | ( SV28 != one ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10597]) ).

thf(10632,plain,
    ! [SV106: num,SV83: num,SV36: num] :
      ( ( ~ ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
              = ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
            | ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
              = ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) ) )
        | ~ ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
             != ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
            | ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
             != ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10598]) ).

thf(10633,plain,
    ! [SV106: num,SV83: num,SV36: num] :
      ( ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
        = ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10598]) ).

thf(10634,plain,
    ! [SV85: num,SV38: num] :
      ( ( ( ~ ( ( ( bit0 @ SV38 )
                = ( bit0 @ SV85 ) )
              | ( SV38 = SV85 ) ) )
        = $true )
      | ( ( ~ ( ( ( bit0 @ SV38 )
               != ( bit0 @ SV85 ) )
              | ( SV38 != SV85 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10599]) ).

thf(10635,plain,
    ! [SV48: $o] :
      ( ( ( ~ ( SV48
              | $true ) )
        = $true )
      | ( ( ~ ( ~ SV48
              | ~ $true ) )
        = $true )
      | ( ( SV48 = $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10601]) ).

thf(10636,plain,
    ! [SV48: $o] :
      ( ( ( ~ ( SV48
              | $false )
          | ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( ( SV48 = $true )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10602]) ).

thf(10637,plain,
    ! [SV48: $o] :
      ( ( ( SV48 = $false )
        = $true )
      | ( ( SV48 = $true )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10602]) ).

thf(10638,plain,
    ( ( ( ~ ( $true
            | $true ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10603]) ).

thf(10639,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10604]) ).

thf(10640,plain,
    ( ( ( $true = $false )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10604]) ).

thf(10641,plain,
    ( ( ( ~ ( $false
            | $true ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10605]) ).

thf(10642,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10606]) ).

thf(10643,plain,
    ( ( ( $false = $false )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10606]) ).

thf(10644,plain,
    ! [SV88: nat,SV50: vEBT_VEBT] :
      ( ( ( vEBT_VEBT_minNull @ SV50 )
        = $false )
      | ( ( ~ ( vEBT_vebt_member @ SV50 @ SV88 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10607]) ).

thf(10645,plain,
    ! [SV52: num] :
      ( ( ( SV52 = one )
        = $true )
      | ( ( ~ ! [SY138: num] :
                ( SV52
               != ( bit0 @ SY138 ) )
          | ~ ! [SY139: num] :
                ( SV52
               != ( bit1 @ SY139 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10609]) ).

thf(10646,plain,
    ! [SV107: nat,SV90: nat,SV53: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ SV53 @ SV90 ) )
        = $true )
      | ( ( ~ ( dvd_dvd_nat @ SV53 @ SV107 )
          | ( ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
            = ( dvd_dvd_nat @ SV90 @ SV107 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10610]) ).

thf(10647,plain,
    ! [SV108: nat,SV93: nat,SV57: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ SV57 @ SV93 ) )
        = $true )
      | ( ( ~ ( dvd_dvd_nat @ SV93 @ SV108 )
          | ( ( divide_divide_nat @ ( divide_divide_nat @ SV108 @ SV57 ) @ ( divide_divide_nat @ SV93 @ SV57 ) )
            = ( divide_divide_nat @ SV108 @ SV93 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10613]) ).

thf(10648,plain,
    ! [SV109: nat,SV94: nat,SV58: nat] :
      ( ( ( ~ ( ord_less_eq_nat @ SV58 @ SV94 ) )
        = $true )
      | ( ( ord_less_eq_nat @ ( divide_divide_nat @ SV58 @ SV109 ) @ ( divide_divide_nat @ SV94 @ SV109 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10614]) ).

thf(10649,plain,
    ! [SV96: nat,SV62: nat] :
      ( ( ( ( divide_divide_nat @ SV62 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV96 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false )
      | ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV62 )
           != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV96 ) )
          | ( SV62 = SV96 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10616]) ).

thf(10650,plain,
    ! [SV110: nat,SV97: nat,SV64: nat] :
      ( ( ( ( divide_divide_nat @ SV64 @ SV97 )
         != ( divide_divide_nat @ SV110 @ SV97 ) )
        = $true )
      | ( ( ~ ( dvd_dvd_nat @ SV97 @ SV64 )
          | ~ ( dvd_dvd_nat @ SV97 @ SV110 )
          | ( SV64 = SV110 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10617]) ).

thf(10651,plain,
    ! [SV115: vEBT_VEBT,SV111: list_VEBT_VEBT,SV98: nat,SV66: nat] :
      ( ( ~ ( ( SV66 != SV98 ) )
        | ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ SV111 @ SV66 @ SV115 ) @ SV98 )
          = ( nth_VEBT_VEBT @ SV111 @ SV98 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10618]) ).

thf(10652,plain,
    ! [SV112: nat,SV99: nat,SV67: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ SV67 @ SV99 ) )
        = $true )
      | ( ( ~ ( dvd_dvd_nat @ SV67 @ SV112 )
          | ( ( ( divide_divide_nat @ SV99 @ SV67 )
              = ( divide_divide_nat @ SV112 @ SV67 ) )
            = ( SV99 = SV112 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10619]) ).

thf(10653,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( SV101 = SV116 )
        = ( ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
               != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
              | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
               != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10621]) ).

thf(10654,plain,
    ! [SV102: num,SV70: num > $o] :
      ( ( ( SV70 @ one )
        = $false )
      | ( ( ~ ! [SY161: num] :
                ( ~ ( SV70 @ SY161 )
                | ( SV70 @ ( inc @ SY161 ) ) )
          | ( SV70 @ SV102 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10623]) ).

thf(10655,plain,
    ! [SV74: num,SV4: num] :
      ( ( ( ( ( bit0 @ SV4 )
            = ( bit0 @ SV74 ) )
          | ( SV4 = SV74 ) )
        = $false )
      | ( ( ~ ( ( ( bit0 @ SV4 )
               != ( bit0 @ SV74 ) )
              | ( SV4 != SV74 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10625]) ).

thf(10656,plain,
    ! [SV76: num,SV6: num] :
      ( ( ( ( ( numeral_numeral_nat @ SV6 )
            = ( numeral_numeral_nat @ SV76 ) )
          | ( SV6 = SV76 ) )
        = $false )
      | ( ( ~ ( ( ( numeral_numeral_nat @ SV6 )
               != ( numeral_numeral_nat @ SV76 ) )
              | ( SV6 != SV76 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10626]) ).

thf(10657,plain,
    ! [SV77: num,SV7: num] :
      ( ( ( ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) )
          | ( ord_less_num @ SV7 @ SV77 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) )
              | ~ ( ord_less_num @ SV7 @ SV77 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10627]) ).

thf(10658,plain,
    ! [SV79: num,SV13: num] :
      ( ( ( ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) )
          | ( ord_less_eq_num @ SV13 @ SV79 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) )
              | ~ ( ord_less_eq_num @ SV13 @ SV79 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10628]) ).

thf(10659,plain,
    ! [SV17: num] :
      ( ( ( ord_less_eq_num @ SV17 @ one )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_num @ SV17 @ one )
              | ( SV17 != one ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10629]) ).

thf(10660,plain,
    ! [SV17: num] :
      ( ( ( SV17 = one )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_num @ SV17 @ one )
              | ( SV17 != one ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10629]) ).

thf(10661,plain,
    ! [SV27: num] :
      ( ( ( one_one_nat
          = ( numeral_numeral_nat @ SV27 ) )
        = $false )
      | ( ( ~ ( ( one_one_nat
               != ( numeral_numeral_nat @ SV27 ) )
              | ( one != SV27 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10630]) ).

thf(10662,plain,
    ! [SV27: num] :
      ( ( ( one = SV27 )
        = $false )
      | ( ( ~ ( ( one_one_nat
               != ( numeral_numeral_nat @ SV27 ) )
              | ( one != SV27 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10630]) ).

thf(10663,plain,
    ! [SV28: num] :
      ( ( ( ( numeral_numeral_nat @ SV28 )
          = one_one_nat )
        = $false )
      | ( ( ~ ( ( ( numeral_numeral_nat @ SV28 )
               != one_one_nat )
              | ( SV28 != one ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10631]) ).

thf(10664,plain,
    ! [SV28: num] :
      ( ( ( SV28 = one )
        = $false )
      | ( ( ~ ( ( ( numeral_numeral_nat @ SV28 )
               != one_one_nat )
              | ( SV28 != one ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10631]) ).

thf(10665,plain,
    ! [SV106: num,SV83: num,SV36: num] :
      ( ( ( ~ ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
                = ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
              | ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
                = ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
               != ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
              | ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
               != ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10632]) ).

thf(10666,plain,
    ! [SV85: num,SV38: num] :
      ( ( ( ( ( bit0 @ SV38 )
            = ( bit0 @ SV85 ) )
          | ( SV38 = SV85 ) )
        = $false )
      | ( ( ~ ( ( ( bit0 @ SV38 )
               != ( bit0 @ SV85 ) )
              | ( SV38 != SV85 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10634]) ).

thf(10667,plain,
    ! [SV48: $o] :
      ( ( ( SV48
          | $true )
        = $false )
      | ( ( ~ ( ~ SV48
              | ~ $true ) )
        = $true )
      | ( ( SV48 = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10635]) ).

thf(10668,plain,
    ! [SV48: $o] :
      ( ( ( ~ ( SV48
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( ( SV48 = $true )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10636]) ).

thf(10669,plain,
    ( ( ( $true
        | $true )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10638]) ).

thf(10670,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10639]) ).

thf(10671,plain,
    ( ( ( $false
        | $true )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10641]) ).

thf(10672,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10642]) ).

thf(10673,plain,
    ! [SV88: nat,SV50: vEBT_VEBT] :
      ( ( ( vEBT_vebt_member @ SV50 @ SV88 )
        = $false )
      | ( ( vEBT_VEBT_minNull @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10644]) ).

thf(10674,plain,
    ! [SV52: num] :
      ( ( ( ~ ! [SY138: num] :
                ( SV52
               != ( bit0 @ SY138 ) ) )
        = $true )
      | ( ( ~ ! [SY139: num] :
                ( SV52
               != ( bit1 @ SY139 ) ) )
        = $true )
      | ( ( SV52 = one )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10645]) ).

thf(10675,plain,
    ! [SV107: nat,SV90: nat,SV53: nat] :
      ( ( ( dvd_dvd_nat @ SV53 @ SV90 )
        = $false )
      | ( ( ~ ( dvd_dvd_nat @ SV53 @ SV107 )
          | ( ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
            = ( dvd_dvd_nat @ SV90 @ SV107 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10646]) ).

thf(10676,plain,
    ! [SV108: nat,SV93: nat,SV57: nat] :
      ( ( ( dvd_dvd_nat @ SV57 @ SV93 )
        = $false )
      | ( ( ~ ( dvd_dvd_nat @ SV93 @ SV108 )
          | ( ( divide_divide_nat @ ( divide_divide_nat @ SV108 @ SV57 ) @ ( divide_divide_nat @ SV93 @ SV57 ) )
            = ( divide_divide_nat @ SV108 @ SV93 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10647]) ).

thf(10677,plain,
    ! [SV109: nat,SV94: nat,SV58: nat] :
      ( ( ( ord_less_eq_nat @ SV58 @ SV94 )
        = $false )
      | ( ( ord_less_eq_nat @ ( divide_divide_nat @ SV58 @ SV109 ) @ ( divide_divide_nat @ SV94 @ SV109 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10648]) ).

thf(10678,plain,
    ! [SV96: nat,SV62: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV62 )
         != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV96 ) )
        = $true )
      | ( ( SV62 = SV96 )
        = $true )
      | ( ( ( divide_divide_nat @ SV62 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV96 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10649]) ).

thf(10679,plain,
    ! [SV110: nat,SV97: nat,SV64: nat] :
      ( ( ( ( divide_divide_nat @ SV64 @ SV97 )
          = ( divide_divide_nat @ SV110 @ SV97 ) )
        = $false )
      | ( ( ~ ( dvd_dvd_nat @ SV97 @ SV64 )
          | ~ ( dvd_dvd_nat @ SV97 @ SV110 )
          | ( SV64 = SV110 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10650]) ).

thf(10680,plain,
    ! [SV115: vEBT_VEBT,SV111: list_VEBT_VEBT,SV98: nat,SV66: nat] :
      ( ( ( ~ ( ( SV66 != SV98 ) ) )
        = $true )
      | ( ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ SV111 @ SV66 @ SV115 ) @ SV98 )
          = ( nth_VEBT_VEBT @ SV111 @ SV98 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10651]) ).

thf(10681,plain,
    ! [SV112: nat,SV99: nat,SV67: nat] :
      ( ( ( dvd_dvd_nat @ SV67 @ SV99 )
        = $false )
      | ( ( ~ ( dvd_dvd_nat @ SV67 @ SV112 )
          | ( ( ( divide_divide_nat @ SV99 @ SV67 )
              = ( divide_divide_nat @ SV112 @ SV67 ) )
            = ( SV99 = SV112 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10652]) ).

thf(10682,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ~ ( ( SV101 = SV116 )
            | ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                 != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                 != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
        | ~ ( ( SV101 != SV116 )
            | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                   != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                  | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                   != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10653]) ).

thf(10683,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( SV101 = SV116 )
        = ( ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
               != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
              | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
               != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[10653]) ).

thf(10684,plain,
    ! [SV102: num,SV70: num > $o] :
      ( ( ( ~ ! [SY161: num] :
                ( ~ ( SV70 @ SY161 )
                | ( SV70 @ ( inc @ SY161 ) ) ) )
        = $true )
      | ( ( SV70 @ SV102 )
        = $true )
      | ( ( SV70 @ one )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10654]) ).

thf(10685,plain,
    ! [SV74: num,SV4: num] :
      ( ( ( ( bit0 @ SV4 )
          = ( bit0 @ SV74 ) )
        = $false )
      | ( ( ~ ( ( ( bit0 @ SV4 )
               != ( bit0 @ SV74 ) )
              | ( SV4 != SV74 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10655]) ).

thf(10686,plain,
    ! [SV74: num,SV4: num] :
      ( ( ( SV4 = SV74 )
        = $false )
      | ( ( ~ ( ( ( bit0 @ SV4 )
               != ( bit0 @ SV74 ) )
              | ( SV4 != SV74 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10655]) ).

thf(10687,plain,
    ! [SV76: num,SV6: num] :
      ( ( ( ( numeral_numeral_nat @ SV6 )
          = ( numeral_numeral_nat @ SV76 ) )
        = $false )
      | ( ( ~ ( ( ( numeral_numeral_nat @ SV6 )
               != ( numeral_numeral_nat @ SV76 ) )
              | ( SV6 != SV76 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10656]) ).

thf(10688,plain,
    ! [SV76: num,SV6: num] :
      ( ( ( SV6 = SV76 )
        = $false )
      | ( ( ~ ( ( ( numeral_numeral_nat @ SV6 )
               != ( numeral_numeral_nat @ SV76 ) )
              | ( SV6 != SV76 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10656]) ).

thf(10689,plain,
    ! [SV77: num,SV7: num] :
      ( ( ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) )
              | ~ ( ord_less_num @ SV7 @ SV77 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10657]) ).

thf(10690,plain,
    ! [SV77: num,SV7: num] :
      ( ( ( ord_less_num @ SV7 @ SV77 )
        = $false )
      | ( ( ~ ( ~ ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) )
              | ~ ( ord_less_num @ SV7 @ SV77 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10657]) ).

thf(10691,plain,
    ! [SV79: num,SV13: num] :
      ( ( ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) )
              | ~ ( ord_less_eq_num @ SV13 @ SV79 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10658]) ).

thf(10692,plain,
    ! [SV79: num,SV13: num] :
      ( ( ( ord_less_eq_num @ SV13 @ SV79 )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) )
              | ~ ( ord_less_eq_num @ SV13 @ SV79 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10658]) ).

thf(10693,plain,
    ! [SV17: num] :
      ( ( ( ~ ( ord_less_eq_num @ SV17 @ one )
          | ( SV17 != one ) )
        = $false )
      | ( ( ord_less_eq_num @ SV17 @ one )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10659]) ).

thf(10694,plain,
    ! [SV17: num] :
      ( ( ( ~ ( ord_less_eq_num @ SV17 @ one )
          | ( SV17 != one ) )
        = $false )
      | ( ( SV17 = one )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10660]) ).

thf(10695,plain,
    ! [SV27: num] :
      ( ( ( ( one_one_nat
           != ( numeral_numeral_nat @ SV27 ) )
          | ( one != SV27 ) )
        = $false )
      | ( ( one_one_nat
          = ( numeral_numeral_nat @ SV27 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10661]) ).

thf(10696,plain,
    ! [SV27: num] :
      ( ( ( ( one_one_nat
           != ( numeral_numeral_nat @ SV27 ) )
          | ( one != SV27 ) )
        = $false )
      | ( ( one = SV27 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10662]) ).

thf(10697,plain,
    ! [SV28: num] :
      ( ( ( ( ( numeral_numeral_nat @ SV28 )
           != one_one_nat )
          | ( SV28 != one ) )
        = $false )
      | ( ( ( numeral_numeral_nat @ SV28 )
          = one_one_nat )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10663]) ).

thf(10698,plain,
    ! [SV28: num] :
      ( ( ( ( ( numeral_numeral_nat @ SV28 )
           != one_one_nat )
          | ( SV28 != one ) )
        = $false )
      | ( ( SV28 = one )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10664]) ).

thf(10699,plain,
    ! [SV106: num,SV83: num,SV36: num] :
      ( ( ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
            = ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
          | ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
            = ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
               != ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
              | ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
               != ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10665]) ).

thf(10700,plain,
    ! [SV85: num,SV38: num] :
      ( ( ( ( bit0 @ SV38 )
          = ( bit0 @ SV85 ) )
        = $false )
      | ( ( ~ ( ( ( bit0 @ SV38 )
               != ( bit0 @ SV85 ) )
              | ( SV38 != SV85 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10666]) ).

thf(10701,plain,
    ! [SV85: num,SV38: num] :
      ( ( ( SV38 = SV85 )
        = $false )
      | ( ( ~ ( ( ( bit0 @ SV38 )
               != ( bit0 @ SV85 ) )
              | ( SV38 != SV85 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10666]) ).

thf(10702,plain,
    ! [SV48: $o] :
      ( ( SV48 = $false )
      | ( ( ~ ( ~ SV48
              | ~ $true ) )
        = $true )
      | ( ( SV48 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10667]) ).

thf(10703,plain,
    ! [SV48: $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ SV48
              | ~ $true ) )
        = $true )
      | ( ( SV48 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10667]) ).

thf(10704,plain,
    ! [SV48: $o] :
      ( ( ( SV48
          | $false )
        = $false )
      | ( ( ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( ( SV48 = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10668]) ).

thf(10705,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10669]) ).

thf(10706,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10669]) ).

thf(10707,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10670]) ).

thf(10708,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10671]) ).

thf(10709,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10671]) ).

thf(10710,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10672]) ).

thf(10711,plain,
    ! [SV52: num] :
      ( ( ( ! [SY138: num] :
              ( SV52
             != ( bit0 @ SY138 ) ) )
        = $false )
      | ( ( ~ ! [SY139: num] :
                ( SV52
               != ( bit1 @ SY139 ) ) )
        = $true )
      | ( ( SV52 = one )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10674]) ).

thf(10712,plain,
    ! [SV90: nat,SV107: nat,SV53: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ SV53 @ SV107 ) )
        = $true )
      | ( ( ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
          = ( dvd_dvd_nat @ SV90 @ SV107 ) )
        = $true )
      | ( ( dvd_dvd_nat @ SV53 @ SV90 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10675]) ).

thf(10713,plain,
    ! [SV57: nat,SV108: nat,SV93: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ SV93 @ SV108 ) )
        = $true )
      | ( ( ( divide_divide_nat @ ( divide_divide_nat @ SV108 @ SV57 ) @ ( divide_divide_nat @ SV93 @ SV57 ) )
          = ( divide_divide_nat @ SV108 @ SV93 ) )
        = $true )
      | ( ( dvd_dvd_nat @ SV57 @ SV93 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10676]) ).

thf(10714,plain,
    ! [SV96: nat,SV62: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV62 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV96 ) )
        = $false )
      | ( ( SV62 = SV96 )
        = $true )
      | ( ( ( divide_divide_nat @ SV62 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV96 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10678]) ).

thf(10715,plain,
    ! [SV110: nat,SV64: nat,SV97: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ SV97 @ SV64 ) )
        = $true )
      | ( ( ~ ( dvd_dvd_nat @ SV97 @ SV110 )
          | ( SV64 = SV110 ) )
        = $true )
      | ( ( ( divide_divide_nat @ SV64 @ SV97 )
          = ( divide_divide_nat @ SV110 @ SV97 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10679]) ).

thf(10716,plain,
    ! [SV115: vEBT_VEBT,SV111: list_VEBT_VEBT,SV98: nat,SV66: nat] :
      ( ( ( SV66 != SV98 )
        = $false )
      | ( ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ SV111 @ SV66 @ SV115 ) @ SV98 )
          = ( nth_VEBT_VEBT @ SV111 @ SV98 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10680]) ).

thf(10717,plain,
    ! [SV99: nat,SV112: nat,SV67: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ SV67 @ SV112 ) )
        = $true )
      | ( ( ( ( divide_divide_nat @ SV99 @ SV67 )
            = ( divide_divide_nat @ SV112 @ SV67 ) )
          = ( SV99 = SV112 ) )
        = $true )
      | ( ( dvd_dvd_nat @ SV67 @ SV99 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10681]) ).

thf(10718,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( ( SV101 = SV116 )
              | ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                   != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                  | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                   != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV101 != SV116 )
              | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                     != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                    | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                     != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10682]) ).

thf(10719,plain,
    ! [SV102: num,SV70: num > $o] :
      ( ( ( ! [SY161: num] :
              ( ~ ( SV70 @ SY161 )
              | ( SV70 @ ( inc @ SY161 ) ) ) )
        = $false )
      | ( ( SV70 @ SV102 )
        = $true )
      | ( ( SV70 @ one )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10684]) ).

thf(10720,plain,
    ! [SV74: num,SV4: num] :
      ( ( ( ( ( bit0 @ SV4 )
           != ( bit0 @ SV74 ) )
          | ( SV4 != SV74 ) )
        = $false )
      | ( ( ( bit0 @ SV4 )
          = ( bit0 @ SV74 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10685]) ).

thf(10721,plain,
    ! [SV74: num,SV4: num] :
      ( ( ( ( ( bit0 @ SV4 )
           != ( bit0 @ SV74 ) )
          | ( SV4 != SV74 ) )
        = $false )
      | ( ( SV4 = SV74 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10686]) ).

thf(10722,plain,
    ! [SV76: num,SV6: num] :
      ( ( ( ( ( numeral_numeral_nat @ SV6 )
           != ( numeral_numeral_nat @ SV76 ) )
          | ( SV6 != SV76 ) )
        = $false )
      | ( ( ( numeral_numeral_nat @ SV6 )
          = ( numeral_numeral_nat @ SV76 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10687]) ).

thf(10723,plain,
    ! [SV76: num,SV6: num] :
      ( ( ( ( ( numeral_numeral_nat @ SV6 )
           != ( numeral_numeral_nat @ SV76 ) )
          | ( SV6 != SV76 ) )
        = $false )
      | ( ( SV6 = SV76 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10688]) ).

thf(10724,plain,
    ! [SV77: num,SV7: num] :
      ( ( ( ~ ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) )
          | ~ ( ord_less_num @ SV7 @ SV77 ) )
        = $false )
      | ( ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10689]) ).

thf(10725,plain,
    ! [SV77: num,SV7: num] :
      ( ( ( ~ ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) )
          | ~ ( ord_less_num @ SV7 @ SV77 ) )
        = $false )
      | ( ( ord_less_num @ SV7 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10690]) ).

thf(10726,plain,
    ! [SV79: num,SV13: num] :
      ( ( ( ~ ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) )
          | ~ ( ord_less_eq_num @ SV13 @ SV79 ) )
        = $false )
      | ( ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10691]) ).

thf(10727,plain,
    ! [SV79: num,SV13: num] :
      ( ( ( ~ ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) )
          | ~ ( ord_less_eq_num @ SV13 @ SV79 ) )
        = $false )
      | ( ( ord_less_eq_num @ SV13 @ SV79 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10692]) ).

thf(10728,plain,
    ! [SV17: num] :
      ( ( ( ~ ( ord_less_eq_num @ SV17 @ one ) )
        = $false )
      | ( ( ord_less_eq_num @ SV17 @ one )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10693]) ).

thf(10729,plain,
    ! [SV17: num] :
      ( ( ( SV17 != one )
        = $false )
      | ( ( ord_less_eq_num @ SV17 @ one )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10693]) ).

thf(10730,plain,
    ! [SV17: num] :
      ( ( ( ~ ( ord_less_eq_num @ SV17 @ one ) )
        = $false )
      | ( ( SV17 = one )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10694]) ).

thf(10731,plain,
    ! [SV17: num] :
      ( ( ( SV17 != one )
        = $false )
      | ( ( SV17 = one )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10694]) ).

thf(10732,plain,
    ! [SV27: num] :
      ( ( ( one_one_nat
         != ( numeral_numeral_nat @ SV27 ) )
        = $false )
      | ( ( one_one_nat
          = ( numeral_numeral_nat @ SV27 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10695]) ).

thf(10733,plain,
    ! [SV27: num] :
      ( ( ( one != SV27 )
        = $false )
      | ( ( one_one_nat
          = ( numeral_numeral_nat @ SV27 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10695]) ).

thf(10734,plain,
    ! [SV27: num] :
      ( ( ( one_one_nat
         != ( numeral_numeral_nat @ SV27 ) )
        = $false )
      | ( ( one = SV27 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10696]) ).

thf(10735,plain,
    ! [SV27: num] :
      ( ( ( one != SV27 )
        = $false )
      | ( ( one = SV27 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10696]) ).

thf(10736,plain,
    ! [SV28: num] :
      ( ( ( ( numeral_numeral_nat @ SV28 )
         != one_one_nat )
        = $false )
      | ( ( ( numeral_numeral_nat @ SV28 )
          = one_one_nat )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10697]) ).

thf(10737,plain,
    ! [SV28: num] :
      ( ( ( SV28 != one )
        = $false )
      | ( ( ( numeral_numeral_nat @ SV28 )
          = one_one_nat )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10697]) ).

thf(10738,plain,
    ! [SV28: num] :
      ( ( ( ( numeral_numeral_nat @ SV28 )
         != one_one_nat )
        = $false )
      | ( ( SV28 = one )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10698]) ).

thf(10739,plain,
    ! [SV28: num] :
      ( ( ( SV28 != one )
        = $false )
      | ( ( SV28 = one )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10698]) ).

thf(10740,plain,
    ! [SV106: num,SV83: num,SV36: num] :
      ( ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
               != ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
              | ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
               != ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10699]) ).

thf(10741,plain,
    ! [SV106: num,SV83: num,SV36: num] :
      ( ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) )
        = $false )
      | ( ( ~ ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
               != ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
              | ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
               != ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10699]) ).

thf(10742,plain,
    ! [SV85: num,SV38: num] :
      ( ( ( ( ( bit0 @ SV38 )
           != ( bit0 @ SV85 ) )
          | ( SV38 != SV85 ) )
        = $false )
      | ( ( ( bit0 @ SV38 )
          = ( bit0 @ SV85 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10700]) ).

thf(10743,plain,
    ! [SV85: num,SV38: num] :
      ( ( ( ( ( bit0 @ SV38 )
           != ( bit0 @ SV85 ) )
          | ( SV38 != SV85 ) )
        = $false )
      | ( ( SV38 = SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10701]) ).

thf(10744,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48
          | ~ $true )
        = $false )
      | ( SV48 = $false )
      | ( ( SV48 = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10702]) ).

thf(10745,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV48 = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10703]) ).

thf(10746,plain,
    ! [SV48: $o] :
      ( ( SV48 = $false )
      | ( ( ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( ( SV48 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10704]) ).

thf(10747,plain,
    ! [SV48: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( ( SV48 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10704]) ).

thf(10748,plain,
    ( ( ( ~ $true
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10705]) ).

thf(10749,plain,
    ( ( ( ~ $true
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10706]) ).

thf(10750,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10707]) ).

thf(10751,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10707]) ).

thf(10752,plain,
    ( ( ( ~ $false
        | ~ $true )
      = $false )
    | ( $false = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10708]) ).

thf(10753,plain,
    ( ( ( ~ $false
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10709]) ).

thf(10754,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10710]) ).

thf(10755,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10710]) ).

thf(10756,plain,
    ! [SV52: num] :
      ( ( ( SV52
         != ( bit0 @ ( sK1_SY138 @ SV52 ) ) )
        = $false )
      | ( ( ~ ! [SY139: num] :
                ( SV52
               != ( bit1 @ SY139 ) ) )
        = $true )
      | ( ( SV52 = one )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[10711]) ).

thf(10757,plain,
    ! [SV90: nat,SV107: nat,SV53: nat] :
      ( ( ( dvd_dvd_nat @ SV53 @ SV107 )
        = $false )
      | ( ( ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
          = ( dvd_dvd_nat @ SV90 @ SV107 ) )
        = $true )
      | ( ( dvd_dvd_nat @ SV53 @ SV90 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10712]) ).

thf(10758,plain,
    ! [SV57: nat,SV108: nat,SV93: nat] :
      ( ( ( dvd_dvd_nat @ SV93 @ SV108 )
        = $false )
      | ( ( ( divide_divide_nat @ ( divide_divide_nat @ SV108 @ SV57 ) @ ( divide_divide_nat @ SV93 @ SV57 ) )
          = ( divide_divide_nat @ SV108 @ SV93 ) )
        = $true )
      | ( ( dvd_dvd_nat @ SV57 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10713]) ).

thf(10759,plain,
    ! [SV96: nat,SV62: nat] :
      ( ( ( ~ ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV62 )
              | ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV96 ) )
          | ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV62 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV96 ) ) )
        = $false )
      | ( ( SV62 = SV96 )
        = $true )
      | ( ( ( divide_divide_nat @ SV62 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV96 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[10714]) ).

thf(10760,plain,
    ! [SV96: nat,SV62: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV62 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV96 ) )
        = $false )
      | ( ( SV62 = SV96 )
        = $true )
      | ( ( ( divide_divide_nat @ SV62 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV96 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[10714]) ).

thf(10761,plain,
    ! [SV110: nat,SV64: nat,SV97: nat] :
      ( ( ( dvd_dvd_nat @ SV97 @ SV64 )
        = $false )
      | ( ( ~ ( dvd_dvd_nat @ SV97 @ SV110 )
          | ( SV64 = SV110 ) )
        = $true )
      | ( ( ( divide_divide_nat @ SV64 @ SV97 )
          = ( divide_divide_nat @ SV110 @ SV97 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10715]) ).

thf(10762,plain,
    ! [SV115: vEBT_VEBT,SV111: list_VEBT_VEBT,SV98: nat,SV66: nat] :
      ( ( ( SV66 = SV98 )
        = $true )
      | ( ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ SV111 @ SV66 @ SV115 ) @ SV98 )
          = ( nth_VEBT_VEBT @ SV111 @ SV98 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10716]) ).

thf(10763,plain,
    ! [SV99: nat,SV112: nat,SV67: nat] :
      ( ( ( dvd_dvd_nat @ SV67 @ SV112 )
        = $false )
      | ( ( ( ( divide_divide_nat @ SV99 @ SV67 )
            = ( divide_divide_nat @ SV112 @ SV67 ) )
          = ( SV99 = SV112 ) )
        = $true )
      | ( ( dvd_dvd_nat @ SV67 @ SV99 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10717]) ).

thf(10764,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( SV101 = SV116 )
          | ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
               != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
              | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
               != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV101 != SV116 )
              | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                     != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                    | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                     != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10718]) ).

thf(10765,plain,
    ! [SV102: num,SV70: num > $o] :
      ( ( ( ~ ( SV70 @ ( sK2_SY161 @ SV102 @ SV70 ) )
          | ( SV70 @ ( inc @ ( sK2_SY161 @ SV102 @ SV70 ) ) ) )
        = $false )
      | ( ( SV70 @ SV102 )
        = $true )
      | ( ( SV70 @ one )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[10719]) ).

thf(10766,plain,
    ! [SV74: num,SV4: num] :
      ( ( ( ( bit0 @ SV4 )
         != ( bit0 @ SV74 ) )
        = $false )
      | ( ( ( bit0 @ SV4 )
          = ( bit0 @ SV74 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10720]) ).

thf(10767,plain,
    ! [SV74: num,SV4: num] :
      ( ( ( SV4 != SV74 )
        = $false )
      | ( ( ( bit0 @ SV4 )
          = ( bit0 @ SV74 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10720]) ).

thf(10768,plain,
    ! [SV74: num,SV4: num] :
      ( ( ( ( bit0 @ SV4 )
         != ( bit0 @ SV74 ) )
        = $false )
      | ( ( SV4 = SV74 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10721]) ).

thf(10769,plain,
    ! [SV74: num,SV4: num] :
      ( ( ( SV4 != SV74 )
        = $false )
      | ( ( SV4 = SV74 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10721]) ).

thf(10770,plain,
    ! [SV76: num,SV6: num] :
      ( ( ( ( numeral_numeral_nat @ SV6 )
         != ( numeral_numeral_nat @ SV76 ) )
        = $false )
      | ( ( ( numeral_numeral_nat @ SV6 )
          = ( numeral_numeral_nat @ SV76 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10722]) ).

thf(10771,plain,
    ! [SV76: num,SV6: num] :
      ( ( ( SV6 != SV76 )
        = $false )
      | ( ( ( numeral_numeral_nat @ SV6 )
          = ( numeral_numeral_nat @ SV76 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10722]) ).

thf(10772,plain,
    ! [SV76: num,SV6: num] :
      ( ( ( ( numeral_numeral_nat @ SV6 )
         != ( numeral_numeral_nat @ SV76 ) )
        = $false )
      | ( ( SV6 = SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10723]) ).

thf(10773,plain,
    ! [SV76: num,SV6: num] :
      ( ( ( SV6 != SV76 )
        = $false )
      | ( ( SV6 = SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10723]) ).

thf(10774,plain,
    ! [SV77: num,SV7: num] :
      ( ( ( ~ ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) ) )
        = $false )
      | ( ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10724]) ).

thf(10775,plain,
    ! [SV77: num,SV7: num] :
      ( ( ( ~ ( ord_less_num @ SV7 @ SV77 ) )
        = $false )
      | ( ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10724]) ).

thf(10776,plain,
    ! [SV77: num,SV7: num] :
      ( ( ( ~ ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) ) )
        = $false )
      | ( ( ord_less_num @ SV7 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10725]) ).

thf(10777,plain,
    ! [SV77: num,SV7: num] :
      ( ( ( ~ ( ord_less_num @ SV7 @ SV77 ) )
        = $false )
      | ( ( ord_less_num @ SV7 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10725]) ).

thf(10778,plain,
    ! [SV79: num,SV13: num] :
      ( ( ( ~ ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) ) )
        = $false )
      | ( ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10726]) ).

thf(10779,plain,
    ! [SV79: num,SV13: num] :
      ( ( ( ~ ( ord_less_eq_num @ SV13 @ SV79 ) )
        = $false )
      | ( ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10726]) ).

thf(10780,plain,
    ! [SV79: num,SV13: num] :
      ( ( ( ~ ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) ) )
        = $false )
      | ( ( ord_less_eq_num @ SV13 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10727]) ).

thf(10781,plain,
    ! [SV79: num,SV13: num] :
      ( ( ( ~ ( ord_less_eq_num @ SV13 @ SV79 ) )
        = $false )
      | ( ( ord_less_eq_num @ SV13 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10727]) ).

thf(10782,plain,
    ! [SV17: num] :
      ( ( ( ord_less_eq_num @ SV17 @ one )
        = $true )
      | ( ( ord_less_eq_num @ SV17 @ one )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10728]) ).

thf(10783,plain,
    ! [SV17: num] :
      ( ( ( SV17 = one )
        = $true )
      | ( ( ord_less_eq_num @ SV17 @ one )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10729]) ).

thf(10784,plain,
    ! [SV17: num] :
      ( ( ( ord_less_eq_num @ SV17 @ one )
        = $true )
      | ( ( SV17 = one )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10730]) ).

thf(10785,plain,
    ! [SV17: num] :
      ( ( ( SV17 = one )
        = $true )
      | ( ( SV17 = one )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10731]) ).

thf(10786,plain,
    ! [SV27: num] :
      ( ( ( one_one_nat
          = ( numeral_numeral_nat @ SV27 ) )
        = $true )
      | ( ( one_one_nat
          = ( numeral_numeral_nat @ SV27 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10732]) ).

thf(10787,plain,
    ! [SV27: num] :
      ( ( ( one = SV27 )
        = $true )
      | ( ( one_one_nat
          = ( numeral_numeral_nat @ SV27 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10733]) ).

thf(10788,plain,
    ! [SV27: num] :
      ( ( ( one_one_nat
          = ( numeral_numeral_nat @ SV27 ) )
        = $true )
      | ( ( one = SV27 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10734]) ).

thf(10789,plain,
    ! [SV27: num] :
      ( ( ( one = SV27 )
        = $true )
      | ( ( one = SV27 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10735]) ).

thf(10790,plain,
    ! [SV28: num] :
      ( ( ( ( numeral_numeral_nat @ SV28 )
          = one_one_nat )
        = $true )
      | ( ( ( numeral_numeral_nat @ SV28 )
          = one_one_nat )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10736]) ).

thf(10791,plain,
    ! [SV28: num] :
      ( ( ( SV28 = one )
        = $true )
      | ( ( ( numeral_numeral_nat @ SV28 )
          = one_one_nat )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10737]) ).

thf(10792,plain,
    ! [SV28: num] :
      ( ( ( ( numeral_numeral_nat @ SV28 )
          = one_one_nat )
        = $true )
      | ( ( SV28 = one )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10738]) ).

thf(10793,plain,
    ! [SV28: num] :
      ( ( ( SV28 = one )
        = $true )
      | ( ( SV28 = one )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10739]) ).

thf(10794,plain,
    ! [SV106: num,SV83: num,SV36: num] :
      ( ( ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
           != ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
          | ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
           != ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) ) )
        = $false )
      | ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10740]) ).

thf(10795,plain,
    ! [SV106: num,SV83: num,SV36: num] :
      ( ( ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
           != ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
          | ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
           != ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) ) )
        = $false )
      | ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10741]) ).

thf(10796,plain,
    ! [SV85: num,SV38: num] :
      ( ( ( ( bit0 @ SV38 )
         != ( bit0 @ SV85 ) )
        = $false )
      | ( ( ( bit0 @ SV38 )
          = ( bit0 @ SV85 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10742]) ).

thf(10797,plain,
    ! [SV85: num,SV38: num] :
      ( ( ( SV38 != SV85 )
        = $false )
      | ( ( ( bit0 @ SV38 )
          = ( bit0 @ SV85 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10742]) ).

thf(10798,plain,
    ! [SV85: num,SV38: num] :
      ( ( ( ( bit0 @ SV38 )
         != ( bit0 @ SV85 ) )
        = $false )
      | ( ( SV38 = SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10743]) ).

thf(10799,plain,
    ! [SV85: num,SV38: num] :
      ( ( ( SV38 != SV85 )
        = $false )
      | ( ( SV38 = SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10743]) ).

thf(10800,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48 ) = $false )
      | ( SV48 = $false )
      | ( ( SV48 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10744]) ).

thf(10801,plain,
    ! [SV48: $o] :
      ( ( ( ~ $true ) = $false )
      | ( SV48 = $false )
      | ( ( SV48 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10744]) ).

thf(10802,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48 ) = $false )
      | ( $true = $false )
      | ( ( SV48 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10745]) ).

thf(10803,plain,
    ! [SV48: $o] :
      ( ( ( ~ $true ) = $false )
      | ( $true = $false )
      | ( ( SV48 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10745]) ).

thf(10804,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48
          | ~ $false )
        = $false )
      | ( SV48 = $false )
      | ( ( SV48 = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10746]) ).

thf(10805,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( ( SV48 = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10747]) ).

thf(10806,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10748]) ).

thf(10807,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10748]) ).

thf(10808,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10749]) ).

thf(10809,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10749]) ).

thf(10810,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10750]) ).

thf(10811,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10751]) ).

thf(10812,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10752]) ).

thf(10813,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10752]) ).

thf(10814,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10753]) ).

thf(10815,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10753]) ).

thf(10816,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10754]) ).

thf(10817,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10755]) ).

thf(10818,plain,
    ! [SV52: num] :
      ( ( ( SV52
          = ( bit0 @ ( sK1_SY138 @ SV52 ) ) )
        = $true )
      | ( ( ~ ! [SY139: num] :
                ( SV52
               != ( bit1 @ SY139 ) ) )
        = $true )
      | ( ( SV52 = one )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10756]) ).

thf(10819,plain,
    ! [SV107: nat,SV53: nat,SV90: nat] :
      ( ( ( ~ ( ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
              | ( dvd_dvd_nat @ SV90 @ SV107 ) )
          | ~ ( ~ ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
              | ~ ( dvd_dvd_nat @ SV90 @ SV107 ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ SV53 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV90 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[10757]) ).

thf(10820,plain,
    ! [SV107: nat,SV53: nat,SV90: nat] :
      ( ( ( ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
          = ( dvd_dvd_nat @ SV90 @ SV107 ) )
        = $true )
      | ( ( dvd_dvd_nat @ SV53 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV90 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[10757]) ).

thf(10821,plain,
    ! [SV96: nat,SV62: nat] :
      ( ( ( ~ ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV62 )
              | ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV96 ) ) )
        = $false )
      | ( ( SV62 = SV96 )
        = $true )
      | ( ( ( divide_divide_nat @ SV62 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV96 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10759]) ).

thf(10822,plain,
    ! [SV96: nat,SV62: nat] :
      ( ( ( ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV62 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV96 ) ) )
        = $false )
      | ( ( SV62 = SV96 )
        = $true )
      | ( ( ( divide_divide_nat @ SV62 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV96 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10759]) ).

thf(10823,plain,
    ! [SV64: nat,SV110: nat,SV97: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ SV97 @ SV110 ) )
        = $true )
      | ( ( SV64 = SV110 )
        = $true )
      | ( ( dvd_dvd_nat @ SV97 @ SV64 )
        = $false )
      | ( ( ( divide_divide_nat @ SV64 @ SV97 )
          = ( divide_divide_nat @ SV110 @ SV97 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10761]) ).

thf(10824,plain,
    ! [SV112: nat,SV67: nat,SV99: nat] :
      ( ( ( ~ ( ( ( divide_divide_nat @ SV99 @ SV67 )
                = ( divide_divide_nat @ SV112 @ SV67 ) )
              | ( SV99 = SV112 ) )
          | ~ ( ( ( divide_divide_nat @ SV99 @ SV67 )
               != ( divide_divide_nat @ SV112 @ SV67 ) )
              | ( SV99 != SV112 ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ SV67 @ SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV99 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[10763]) ).

thf(10825,plain,
    ! [SV112: nat,SV67: nat,SV99: nat] :
      ( ( ( ( ( divide_divide_nat @ SV99 @ SV67 )
            = ( divide_divide_nat @ SV112 @ SV67 ) )
          = ( SV99 = SV112 ) )
        = $true )
      | ( ( dvd_dvd_nat @ SV67 @ SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV99 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[10763]) ).

thf(10826,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( SV101 = SV116 )
        = $false )
      | ( ( ~ ( ( SV101 != SV116 )
              | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                     != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                    | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                     != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10764]) ).

thf(10827,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
               != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
              | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
               != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV101 != SV116 )
              | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                     != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                    | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                     != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10764]) ).

thf(10828,plain,
    ! [SV102: num,SV70: num > $o] :
      ( ( ( ~ ( SV70 @ ( sK2_SY161 @ SV102 @ SV70 ) ) )
        = $false )
      | ( ( SV70 @ SV102 )
        = $true )
      | ( ( SV70 @ one )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10765]) ).

thf(10829,plain,
    ! [SV102: num,SV70: num > $o] :
      ( ( ( SV70 @ ( inc @ ( sK2_SY161 @ SV102 @ SV70 ) ) )
        = $false )
      | ( ( SV70 @ SV102 )
        = $true )
      | ( ( SV70 @ one )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10765]) ).

thf(10830,plain,
    ! [SV74: num,SV4: num] :
      ( ( ( ( bit0 @ SV4 )
          = ( bit0 @ SV74 ) )
        = $true )
      | ( ( ( bit0 @ SV4 )
          = ( bit0 @ SV74 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10766]) ).

thf(10831,plain,
    ! [SV74: num,SV4: num] :
      ( ( ( SV4 = SV74 )
        = $true )
      | ( ( ( bit0 @ SV4 )
          = ( bit0 @ SV74 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10767]) ).

thf(10832,plain,
    ! [SV74: num,SV4: num] :
      ( ( ( ( bit0 @ SV4 )
          = ( bit0 @ SV74 ) )
        = $true )
      | ( ( SV4 = SV74 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10768]) ).

thf(10833,plain,
    ! [SV74: num,SV4: num] :
      ( ( ( SV4 = SV74 )
        = $true )
      | ( ( SV4 = SV74 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10769]) ).

thf(10834,plain,
    ! [SV76: num,SV6: num] :
      ( ( ( ( numeral_numeral_nat @ SV6 )
          = ( numeral_numeral_nat @ SV76 ) )
        = $true )
      | ( ( ( numeral_numeral_nat @ SV6 )
          = ( numeral_numeral_nat @ SV76 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10770]) ).

thf(10835,plain,
    ! [SV76: num,SV6: num] :
      ( ( ( SV6 = SV76 )
        = $true )
      | ( ( ( numeral_numeral_nat @ SV6 )
          = ( numeral_numeral_nat @ SV76 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10771]) ).

thf(10836,plain,
    ! [SV76: num,SV6: num] :
      ( ( ( ( numeral_numeral_nat @ SV6 )
          = ( numeral_numeral_nat @ SV76 ) )
        = $true )
      | ( ( SV6 = SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10772]) ).

thf(10837,plain,
    ! [SV76: num,SV6: num] :
      ( ( ( SV6 = SV76 )
        = $true )
      | ( ( SV6 = SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10773]) ).

thf(10838,plain,
    ! [SV77: num,SV7: num] :
      ( ( ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) )
        = $true )
      | ( ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10774]) ).

thf(10839,plain,
    ! [SV77: num,SV7: num] :
      ( ( ( ord_less_num @ SV7 @ SV77 )
        = $true )
      | ( ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10775]) ).

thf(10840,plain,
    ! [SV77: num,SV7: num] :
      ( ( ( ord_less_num @ ( bit0 @ SV7 ) @ ( bit0 @ SV77 ) )
        = $true )
      | ( ( ord_less_num @ SV7 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10776]) ).

thf(10841,plain,
    ! [SV77: num,SV7: num] :
      ( ( ( ord_less_num @ SV7 @ SV77 )
        = $true )
      | ( ( ord_less_num @ SV7 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10777]) ).

thf(10842,plain,
    ! [SV79: num,SV13: num] :
      ( ( ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) )
        = $true )
      | ( ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10778]) ).

thf(10843,plain,
    ! [SV79: num,SV13: num] :
      ( ( ( ord_less_eq_num @ SV13 @ SV79 )
        = $true )
      | ( ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10779]) ).

thf(10844,plain,
    ! [SV79: num,SV13: num] :
      ( ( ( ord_less_eq_num @ ( bit0 @ SV13 ) @ ( bit0 @ SV79 ) )
        = $true )
      | ( ( ord_less_eq_num @ SV13 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10780]) ).

thf(10845,plain,
    ! [SV79: num,SV13: num] :
      ( ( ( ord_less_eq_num @ SV13 @ SV79 )
        = $true )
      | ( ( ord_less_eq_num @ SV13 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10781]) ).

thf(10846,plain,
    ! [SV106: num,SV83: num,SV36: num] :
      ( ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
         != ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
        = $false )
      | ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10794]) ).

thf(10847,plain,
    ! [SV106: num,SV83: num,SV36: num] :
      ( ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
         != ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) )
        = $false )
      | ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10794]) ).

thf(10848,plain,
    ! [SV106: num,SV83: num,SV36: num] :
      ( ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
         != ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
        = $false )
      | ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10795]) ).

thf(10849,plain,
    ! [SV106: num,SV83: num,SV36: num] :
      ( ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
         != ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) )
        = $false )
      | ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10795]) ).

thf(10850,plain,
    ! [SV85: num,SV38: num] :
      ( ( ( ( bit0 @ SV38 )
          = ( bit0 @ SV85 ) )
        = $true )
      | ( ( ( bit0 @ SV38 )
          = ( bit0 @ SV85 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10796]) ).

thf(10851,plain,
    ! [SV85: num,SV38: num] :
      ( ( ( SV38 = SV85 )
        = $true )
      | ( ( ( bit0 @ SV38 )
          = ( bit0 @ SV85 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10797]) ).

thf(10852,plain,
    ! [SV85: num,SV38: num] :
      ( ( ( ( bit0 @ SV38 )
          = ( bit0 @ SV85 ) )
        = $true )
      | ( ( SV38 = SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10798]) ).

thf(10853,plain,
    ! [SV85: num,SV38: num] :
      ( ( ( SV38 = SV85 )
        = $true )
      | ( ( SV38 = SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10799]) ).

thf(10854,plain,
    ! [SV48: $o] :
      ( ( SV48 = $true )
      | ( SV48 = $false )
      | ( ( SV48 = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10800]) ).

thf(10855,plain,
    ! [SV48: $o] :
      ( ( $true = $true )
      | ( SV48 = $false )
      | ( ( SV48 = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10801]) ).

thf(10856,plain,
    ! [SV48: $o] :
      ( ( SV48 = $true )
      | ( $true = $false )
      | ( ( SV48 = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10802]) ).

thf(10857,plain,
    ! [SV48: $o] :
      ( ( $true = $true )
      | ( $true = $false )
      | ( ( SV48 = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10803]) ).

thf(10858,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48 ) = $false )
      | ( SV48 = $false )
      | ( ( SV48 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10804]) ).

thf(10859,plain,
    ! [SV48: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV48 = $false )
      | ( ( SV48 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10804]) ).

thf(10860,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48 ) = $false )
      | ( $false = $false )
      | ( ( SV48 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10805]) ).

thf(10861,plain,
    ! [SV48: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( ( SV48 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10805]) ).

thf(10862,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10806]) ).

thf(10863,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10807]) ).

thf(10864,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10808]) ).

thf(10865,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10809]) ).

thf(10866,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10810]) ).

thf(10867,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10810]) ).

thf(10868,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10811]) ).

thf(10869,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10811]) ).

thf(10870,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10812]) ).

thf(10871,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10813]) ).

thf(10872,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10814]) ).

thf(10873,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10815]) ).

thf(10874,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10816]) ).

thf(10875,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10816]) ).

thf(10876,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10817]) ).

thf(10877,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10817]) ).

thf(10878,plain,
    ! [SV52: num] :
      ( ( ( ! [SY139: num] :
              ( SV52
             != ( bit1 @ SY139 ) ) )
        = $false )
      | ( ( SV52
          = ( bit0 @ ( sK1_SY138 @ SV52 ) ) )
        = $true )
      | ( ( SV52 = one )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10818]) ).

thf(10879,plain,
    ! [SV107: nat,SV53: nat,SV90: nat] :
      ( ( ( ~ ( ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
              | ( dvd_dvd_nat @ SV90 @ SV107 ) ) )
        = $true )
      | ( ( ~ ( ~ ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
              | ~ ( dvd_dvd_nat @ SV90 @ SV107 ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ SV53 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV90 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10819]) ).

thf(10880,plain,
    ! [SV96: nat,SV62: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV62 )
          | ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV96 ) )
        = $true )
      | ( ( SV62 = SV96 )
        = $true )
      | ( ( ( divide_divide_nat @ SV62 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV96 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10821]) ).

thf(10881,plain,
    ! [SV96: nat,SV62: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV62 )
          | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV96 ) )
        = $true )
      | ( ( SV62 = SV96 )
        = $true )
      | ( ( ( divide_divide_nat @ SV62 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV96 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10822]) ).

thf(10882,plain,
    ! [SV64: nat,SV110: nat,SV97: nat] :
      ( ( ( dvd_dvd_nat @ SV97 @ SV110 )
        = $false )
      | ( ( SV64 = SV110 )
        = $true )
      | ( ( dvd_dvd_nat @ SV97 @ SV64 )
        = $false )
      | ( ( ( divide_divide_nat @ SV64 @ SV97 )
          = ( divide_divide_nat @ SV110 @ SV97 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10823]) ).

thf(10883,plain,
    ! [SV112: nat,SV67: nat,SV99: nat] :
      ( ( ( ~ ( ( ( divide_divide_nat @ SV99 @ SV67 )
                = ( divide_divide_nat @ SV112 @ SV67 ) )
              | ( SV99 = SV112 ) ) )
        = $true )
      | ( ( ~ ( ( ( divide_divide_nat @ SV99 @ SV67 )
               != ( divide_divide_nat @ SV112 @ SV67 ) )
              | ( SV99 != SV112 ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ SV67 @ SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV99 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10824]) ).

thf(10884,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( SV101 != SV116 )
          | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                 != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                 != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
        = $false )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10826]) ).

thf(10885,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
           != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
          | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
           != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV101 != SV116 )
              | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                     != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                    | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                     != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10827]) ).

thf(10886,plain,
    ! [SV102: num,SV70: num > $o] :
      ( ( ( SV70 @ ( sK2_SY161 @ SV102 @ SV70 ) )
        = $true )
      | ( ( SV70 @ SV102 )
        = $true )
      | ( ( SV70 @ one )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10828]) ).

thf(10887,plain,
    ! [SV106: num,SV83: num,SV36: num] :
      ( ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
        = $true )
      | ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10846]) ).

thf(10888,plain,
    ! [SV106: num,SV83: num,SV36: num] :
      ( ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) )
        = $true )
      | ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10847]) ).

thf(10889,plain,
    ! [SV106: num,SV83: num,SV36: num] :
      ( ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV36 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ ( bit0 @ SV106 ) ) @ ( numeral_numeral_nat @ ( bit0 @ SV83 ) ) ) )
        = $true )
      | ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10848]) ).

thf(10890,plain,
    ! [SV106: num,SV83: num,SV36: num] :
      ( ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) )
        = $true )
      | ( ( ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV36 ) @ ( numeral_numeral_nat @ SV83 ) )
          = ( modulo_modulo_nat @ ( numeral_numeral_nat @ SV106 ) @ ( numeral_numeral_nat @ SV83 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10849]) ).

thf(10891,plain,
    ! [SV48: $o] :
      ( ( ( ~ ( SV48
              | $false )
          | ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( SV48 = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10854]) ).

thf(10892,plain,
    ! [SV48: $o] :
      ( ( ( SV48 = $false )
        = $true )
      | ( SV48 = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10854]) ).

thf(10893,plain,
    ! [SV48: $o] :
      ( ( ( ~ ( SV48
              | $false )
          | ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( SV48 = $false )
      | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10855]) ).

thf(10894,plain,
    ! [SV48: $o] :
      ( ( ( SV48 = $false )
        = $true )
      | ( SV48 = $false )
      | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10855]) ).

thf(10895,plain,
    ! [SV48: $o] :
      ( ( ( ~ ( SV48
              | $false )
          | ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10856]) ).

thf(10896,plain,
    ! [SV48: $o] :
      ( ( ( SV48 = $false )
        = $true )
      | ( $true = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10856]) ).

thf(10897,plain,
    ! [SV48: $o] :
      ( ( ( ~ ( SV48
              | $false )
          | ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10857]) ).

thf(10898,plain,
    ! [SV48: $o] :
      ( ( ( SV48 = $false )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10857]) ).

thf(10899,plain,
    ! [SV48: $o] :
      ( ( SV48 = $true )
      | ( SV48 = $false )
      | ( ( SV48 = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10858]) ).

thf(10900,plain,
    ! [SV48: $o] :
      ( ( $false = $true )
      | ( SV48 = $false )
      | ( ( SV48 = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10859]) ).

thf(10901,plain,
    ! [SV48: $o] :
      ( ( SV48 = $true )
      | ( $false = $false )
      | ( ( SV48 = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10860]) ).

thf(10902,plain,
    ! [SV48: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( ( SV48 = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10861]) ).

thf(10903,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10862]) ).

thf(10904,plain,
    ( ( ( $true = $false )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10862]) ).

thf(10905,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10863]) ).

thf(10906,plain,
    ( ( ( $true = $false )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10863]) ).

thf(10907,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10864]) ).

thf(10908,plain,
    ( ( ( $true = $false )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10864]) ).

thf(10909,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10865]) ).

thf(10910,plain,
    ( ( ( $true = $false )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10865]) ).

thf(10911,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10866]) ).

thf(10912,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10867]) ).

thf(10913,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10868]) ).

thf(10914,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10869]) ).

thf(10915,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10870]) ).

thf(10916,plain,
    ( ( ( $false = $false )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10870]) ).

thf(10917,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10871]) ).

thf(10918,plain,
    ( ( ( $false = $false )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10871]) ).

thf(10919,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10872]) ).

thf(10920,plain,
    ( ( ( $false = $false )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10872]) ).

thf(10921,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10873]) ).

thf(10922,plain,
    ( ( ( $false = $false )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[10873]) ).

thf(10923,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10874]) ).

thf(10924,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10875]) ).

thf(10925,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10876]) ).

thf(10926,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10877]) ).

thf(10927,plain,
    ! [SV52: num] :
      ( ( ( SV52
         != ( bit1 @ ( sK3_SY139 @ SV52 ) ) )
        = $false )
      | ( ( SV52
          = ( bit0 @ ( sK1_SY138 @ SV52 ) ) )
        = $true )
      | ( ( SV52 = one )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[10878]) ).

thf(10928,plain,
    ! [SV107: nat,SV53: nat,SV90: nat] :
      ( ( ( ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
          | ( dvd_dvd_nat @ SV90 @ SV107 ) )
        = $false )
      | ( ( ~ ( ~ ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
              | ~ ( dvd_dvd_nat @ SV90 @ SV107 ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ SV53 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV90 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10879]) ).

thf(10929,plain,
    ! [SV96: nat,SV62: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV62 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV96 )
        = $true )
      | ( ( SV62 = SV96 )
        = $true )
      | ( ( ( divide_divide_nat @ SV62 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV96 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10880]) ).

thf(10930,plain,
    ! [SV96: nat,SV62: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV62 ) )
        = $true )
      | ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV96 ) )
        = $true )
      | ( ( SV62 = SV96 )
        = $true )
      | ( ( ( divide_divide_nat @ SV62 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV96 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10881]) ).

thf(10931,plain,
    ! [SV112: nat,SV67: nat,SV99: nat] :
      ( ( ( ( ( divide_divide_nat @ SV99 @ SV67 )
            = ( divide_divide_nat @ SV112 @ SV67 ) )
          | ( SV99 = SV112 ) )
        = $false )
      | ( ( ~ ( ( ( divide_divide_nat @ SV99 @ SV67 )
               != ( divide_divide_nat @ SV112 @ SV67 ) )
              | ( SV99 != SV112 ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ SV67 @ SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV99 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10883]) ).

thf(10932,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( SV101 != SV116 )
        = $false )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10884]) ).

thf(10933,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                 != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                 != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
        = $false )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10884]) ).

thf(10934,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
         != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
         != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $true )
      | ( ( ~ ( ( SV101 != SV116 )
              | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                     != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                    | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                     != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10885]) ).

thf(10935,plain,
    ! [SV48: $o] :
      ( ( ( ~ ( SV48
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( SV48 = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10891]) ).

thf(10936,plain,
    ! [SV48: $o] :
      ( ( ( ~ ( SV48
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( SV48 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10893]) ).

thf(10937,plain,
    ! [SV48: $o] :
      ( ( ( ~ ( SV48
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10895]) ).

thf(10938,plain,
    ! [SV48: $o] :
      ( ( ( ~ ( SV48
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10897]) ).

thf(10939,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10903]) ).

thf(10940,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10905]) ).

thf(10941,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10907]) ).

thf(10942,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10909]) ).

thf(10943,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10915]) ).

thf(10944,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10917]) ).

thf(10945,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10919]) ).

thf(10946,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10921]) ).

thf(10947,plain,
    ! [SV52: num] :
      ( ( ( SV52
          = ( bit1 @ ( sK3_SY139 @ SV52 ) ) )
        = $true )
      | ( ( SV52
          = ( bit0 @ ( sK1_SY138 @ SV52 ) ) )
        = $true )
      | ( ( SV52 = one )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[10927]) ).

thf(10948,plain,
    ! [SV107: nat,SV53: nat,SV90: nat] :
      ( ( ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
        = $false )
      | ( ( ~ ( ~ ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
              | ~ ( dvd_dvd_nat @ SV90 @ SV107 ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ SV53 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV90 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10928]) ).

thf(10949,plain,
    ! [SV53: nat,SV107: nat,SV90: nat] :
      ( ( ( dvd_dvd_nat @ SV90 @ SV107 )
        = $false )
      | ( ( ~ ( ~ ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
              | ~ ( dvd_dvd_nat @ SV90 @ SV107 ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ SV53 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV90 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10928]) ).

thf(10950,plain,
    ! [SV96: nat,SV62: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV62 )
        = $false )
      | ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV96 ) )
        = $true )
      | ( ( SV62 = SV96 )
        = $true )
      | ( ( ( divide_divide_nat @ SV62 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV96 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10930]) ).

thf(10951,plain,
    ! [SV112: nat,SV67: nat,SV99: nat] :
      ( ( ( ( divide_divide_nat @ SV99 @ SV67 )
          = ( divide_divide_nat @ SV112 @ SV67 ) )
        = $false )
      | ( ( ~ ( ( ( divide_divide_nat @ SV99 @ SV67 )
               != ( divide_divide_nat @ SV112 @ SV67 ) )
              | ( SV99 != SV112 ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ SV67 @ SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV99 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10931]) ).

thf(10952,plain,
    ! [SV67: nat,SV112: nat,SV99: nat] :
      ( ( ( SV99 = SV112 )
        = $false )
      | ( ( ~ ( ( ( divide_divide_nat @ SV99 @ SV67 )
               != ( divide_divide_nat @ SV112 @ SV67 ) )
              | ( SV99 != SV112 ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ SV67 @ SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV99 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10931]) ).

thf(10953,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( SV101 = SV116 )
        = $true )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10932]) ).

thf(10954,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
               != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
              | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
               != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
        = $true )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10933]) ).

thf(10955,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
         != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $true )
      | ( ( ~ ( ( SV101 != SV116 )
              | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                     != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                    | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                     != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10934]) ).

thf(10956,plain,
    ! [SV48: $o] :
      ( ( ( SV48
          | $false )
        = $false )
      | ( ( ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( SV48 = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10935]) ).

thf(10957,plain,
    ! [SV48: $o] :
      ( ( ( SV48
          | $false )
        = $false )
      | ( ( ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( SV48 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10936]) ).

thf(10958,plain,
    ! [SV48: $o] :
      ( ( ( SV48
          | $false )
        = $false )
      | ( ( ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10937]) ).

thf(10959,plain,
    ! [SV48: $o] :
      ( ( ( SV48
          | $false )
        = $false )
      | ( ( ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10938]) ).

thf(10960,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10939]) ).

thf(10961,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10940]) ).

thf(10962,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10941]) ).

thf(10963,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10942]) ).

thf(10964,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10943]) ).

thf(10965,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10944]) ).

thf(10966,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10945]) ).

thf(10967,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10946]) ).

thf(10968,plain,
    ! [SV107: nat,SV53: nat,SV90: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
          | ~ ( dvd_dvd_nat @ SV90 @ SV107 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV90 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10948]) ).

thf(10969,plain,
    ! [SV107: nat,SV53: nat,SV90: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
          | ~ ( dvd_dvd_nat @ SV90 @ SV107 ) )
        = $false )
      | ( ( dvd_dvd_nat @ SV90 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV90 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10949]) ).

thf(10970,plain,
    ! [SV62: nat,SV96: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV96 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV62 )
        = $false )
      | ( ( SV62 = SV96 )
        = $true )
      | ( ( ( divide_divide_nat @ SV62 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV96 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10950]) ).

thf(10971,plain,
    ! [SV112: nat,SV67: nat,SV99: nat] :
      ( ( ( ( ( divide_divide_nat @ SV99 @ SV67 )
           != ( divide_divide_nat @ SV112 @ SV67 ) )
          | ( SV99 != SV112 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV99 @ SV67 )
          = ( divide_divide_nat @ SV112 @ SV67 ) )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV99 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10951]) ).

thf(10972,plain,
    ! [SV112: nat,SV67: nat,SV99: nat] :
      ( ( ( ( ( divide_divide_nat @ SV99 @ SV67 )
           != ( divide_divide_nat @ SV112 @ SV67 ) )
          | ( SV99 != SV112 ) )
        = $false )
      | ( ( SV99 = SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV99 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10952]) ).

thf(10973,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
           != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
          | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
           != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
        = $false )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10954]) ).

thf(10974,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
          | ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
         != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $true )
      | ( ( ~ ( ( SV101 != SV116 )
              | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                     != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                    | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                     != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[10955]) ).

thf(10975,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
         != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $true )
      | ( ( ~ ( ( SV101 != SV116 )
              | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                     != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                    | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                     != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[10955]) ).

thf(10976,plain,
    ! [SV48: $o] :
      ( ( SV48 = $false )
      | ( ( ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( SV48 = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10956]) ).

thf(10977,plain,
    ! [SV48: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( SV48 = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10956]) ).

thf(10978,plain,
    ! [SV48: $o] :
      ( ( SV48 = $false )
      | ( ( ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( SV48 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10957]) ).

thf(10979,plain,
    ! [SV48: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( SV48 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10957]) ).

thf(10980,plain,
    ! [SV48: $o] :
      ( ( SV48 = $false )
      | ( ( ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10958]) ).

thf(10981,plain,
    ! [SV48: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10958]) ).

thf(10982,plain,
    ! [SV48: $o] :
      ( ( SV48 = $false )
      | ( ( ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10959]) ).

thf(10983,plain,
    ! [SV48: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV48
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10959]) ).

thf(10984,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10960]) ).

thf(10985,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10960]) ).

thf(10986,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10961]) ).

thf(10987,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10961]) ).

thf(10988,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10962]) ).

thf(10989,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10962]) ).

thf(10990,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10963]) ).

thf(10991,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10963]) ).

thf(10992,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10964]) ).

thf(10993,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10964]) ).

thf(10994,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10965]) ).

thf(10995,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10965]) ).

thf(10996,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10966]) ).

thf(10997,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10966]) ).

thf(10998,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10967]) ).

thf(10999,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10967]) ).

thf(11000,plain,
    ! [SV107: nat,SV53: nat,SV90: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV90 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10968]) ).

thf(11001,plain,
    ! [SV53: nat,SV107: nat,SV90: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ SV90 @ SV107 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV90 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10968]) ).

thf(11002,plain,
    ! [SV107: nat,SV53: nat,SV90: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) ) )
        = $false )
      | ( ( dvd_dvd_nat @ SV90 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV90 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10969]) ).

thf(11003,plain,
    ! [SV53: nat,SV107: nat,SV90: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ SV90 @ SV107 ) )
        = $false )
      | ( ( dvd_dvd_nat @ SV90 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV90 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10969]) ).

thf(11004,plain,
    ! [SV112: nat,SV67: nat,SV99: nat] :
      ( ( ( ( divide_divide_nat @ SV99 @ SV67 )
         != ( divide_divide_nat @ SV112 @ SV67 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV99 @ SV67 )
          = ( divide_divide_nat @ SV112 @ SV67 ) )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV99 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10971]) ).

thf(11005,plain,
    ! [SV67: nat,SV112: nat,SV99: nat] :
      ( ( ( SV99 != SV112 )
        = $false )
      | ( ( ( divide_divide_nat @ SV99 @ SV67 )
          = ( divide_divide_nat @ SV112 @ SV67 ) )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV99 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10971]) ).

thf(11006,plain,
    ! [SV112: nat,SV67: nat,SV99: nat] :
      ( ( ( ( divide_divide_nat @ SV99 @ SV67 )
         != ( divide_divide_nat @ SV112 @ SV67 ) )
        = $false )
      | ( ( SV99 = SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV99 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10972]) ).

thf(11007,plain,
    ! [SV67: nat,SV112: nat,SV99: nat] :
      ( ( ( SV99 != SV112 )
        = $false )
      | ( ( SV99 = SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV99 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10972]) ).

thf(11008,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
         != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10973]) ).

thf(11009,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
         != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10973]) ).

thf(11010,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
         != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $true )
      | ( ( ~ ( ( SV101 != SV116 )
              | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                     != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                    | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                     != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10974]) ).

thf(11011,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
         != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $true )
      | ( ( ~ ( ( SV101 != SV116 )
              | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                     != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                    | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                     != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10974]) ).

thf(11012,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ~ ( ( SV101 != SV116 )
              | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                     != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                    | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                     != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10975]) ).

thf(11013,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48
          | ~ $false )
        = $false )
      | ( SV48 = $false )
      | ( SV48 = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10976]) ).

thf(11014,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( SV48 = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10977]) ).

thf(11015,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48
          | ~ $false )
        = $false )
      | ( SV48 = $false )
      | ( SV48 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10978]) ).

thf(11016,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( SV48 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10979]) ).

thf(11017,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48
          | ~ $false )
        = $false )
      | ( SV48 = $false )
      | ( $true = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10980]) ).

thf(11018,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( $true = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10981]) ).

thf(11019,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48
          | ~ $false )
        = $false )
      | ( SV48 = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10982]) ).

thf(11020,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10983]) ).

thf(11021,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10984]) ).

thf(11022,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10985]) ).

thf(11023,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10986]) ).

thf(11024,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10987]) ).

thf(11025,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10988]) ).

thf(11026,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10989]) ).

thf(11027,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10990]) ).

thf(11028,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10991]) ).

thf(11029,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10992]) ).

thf(11030,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10993]) ).

thf(11031,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10994]) ).

thf(11032,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10995]) ).

thf(11033,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10996]) ).

thf(11034,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10997]) ).

thf(11035,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10998]) ).

thf(11036,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10999]) ).

thf(11037,plain,
    ! [SV107: nat,SV53: nat,SV90: nat] :
      ( ( ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
        = $true )
      | ( ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV90 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11000]) ).

thf(11038,plain,
    ! [SV53: nat,SV107: nat,SV90: nat] :
      ( ( ( dvd_dvd_nat @ SV90 @ SV107 )
        = $true )
      | ( ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV90 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11001]) ).

thf(11039,plain,
    ! [SV107: nat,SV53: nat,SV90: nat] :
      ( ( ( dvd_dvd_nat @ ( divide_divide_nat @ SV90 @ SV53 ) @ ( divide_divide_nat @ SV107 @ SV53 ) )
        = $true )
      | ( ( dvd_dvd_nat @ SV90 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV90 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11002]) ).

thf(11040,plain,
    ! [SV53: nat,SV107: nat,SV90: nat] :
      ( ( ( dvd_dvd_nat @ SV90 @ SV107 )
        = $true )
      | ( ( dvd_dvd_nat @ SV90 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV107 )
        = $false )
      | ( ( dvd_dvd_nat @ SV53 @ SV90 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11003]) ).

thf(11041,plain,
    ! [SV112: nat,SV67: nat,SV99: nat] :
      ( ( ( ( divide_divide_nat @ SV99 @ SV67 )
          = ( divide_divide_nat @ SV112 @ SV67 ) )
        = $true )
      | ( ( ( divide_divide_nat @ SV99 @ SV67 )
          = ( divide_divide_nat @ SV112 @ SV67 ) )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV99 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11004]) ).

thf(11042,plain,
    ! [SV67: nat,SV112: nat,SV99: nat] :
      ( ( ( SV99 = SV112 )
        = $true )
      | ( ( ( divide_divide_nat @ SV99 @ SV67 )
          = ( divide_divide_nat @ SV112 @ SV67 ) )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV99 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11005]) ).

thf(11043,plain,
    ! [SV112: nat,SV67: nat,SV99: nat] :
      ( ( ( ( divide_divide_nat @ SV99 @ SV67 )
          = ( divide_divide_nat @ SV112 @ SV67 ) )
        = $true )
      | ( ( SV99 = SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV99 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11006]) ).

thf(11044,plain,
    ! [SV67: nat,SV112: nat,SV99: nat] :
      ( ( ( SV99 = SV112 )
        = $true )
      | ( ( SV99 = SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV112 )
        = $false )
      | ( ( dvd_dvd_nat @ SV67 @ SV99 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11007]) ).

thf(11045,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $true )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11008]) ).

thf(11046,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $true )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11009]) ).

thf(11047,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          | ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
         != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $true )
      | ( ( ~ ( ( SV101 != SV116 )
              | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                     != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                    | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                     != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11010]) ).

thf(11048,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
         != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $true )
      | ( ( ~ ( ( SV101 != SV116 )
              | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                     != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                    | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                     != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11011]) ).

thf(11049,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( SV101 != SV116 )
          | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                 != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                 != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
        = $false )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11012]) ).

thf(11050,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48 ) = $false )
      | ( SV48 = $false )
      | ( SV48 = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11013]) ).

thf(11051,plain,
    ! [SV48: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV48 = $false )
      | ( SV48 = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11013]) ).

thf(11052,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48 ) = $false )
      | ( $false = $false )
      | ( SV48 = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11014]) ).

thf(11053,plain,
    ! [SV48: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( SV48 = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11014]) ).

thf(11054,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48 ) = $false )
      | ( SV48 = $false )
      | ( SV48 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11015]) ).

thf(11055,plain,
    ! [SV48: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV48 = $false )
      | ( SV48 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11015]) ).

thf(11056,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48 ) = $false )
      | ( $false = $false )
      | ( SV48 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11016]) ).

thf(11057,plain,
    ! [SV48: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( SV48 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11016]) ).

thf(11058,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48 ) = $false )
      | ( SV48 = $false )
      | ( $true = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11017]) ).

thf(11059,plain,
    ! [SV48: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV48 = $false )
      | ( $true = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11017]) ).

thf(11060,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48 ) = $false )
      | ( $false = $false )
      | ( $true = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11018]) ).

thf(11061,plain,
    ! [SV48: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( $true = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11018]) ).

thf(11062,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48 ) = $false )
      | ( SV48 = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11019]) ).

thf(11063,plain,
    ! [SV48: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV48 = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11019]) ).

thf(11064,plain,
    ! [SV48: $o] :
      ( ( ( ~ SV48 ) = $false )
      | ( $false = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11020]) ).

thf(11065,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11020]) ).

thf(11066,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11021]) ).

thf(11067,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11021]) ).

thf(11068,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11022]) ).

thf(11069,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11022]) ).

thf(11070,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11023]) ).

thf(11071,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11023]) ).

thf(11072,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11024]) ).

thf(11073,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11024]) ).

thf(11074,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11025]) ).

thf(11075,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11025]) ).

thf(11076,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11026]) ).

thf(11077,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11026]) ).

thf(11078,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11027]) ).

thf(11079,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11027]) ).

thf(11080,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11028]) ).

thf(11081,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11028]) ).

thf(11082,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11029]) ).

thf(11083,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11029]) ).

thf(11084,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11030]) ).

thf(11085,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11030]) ).

thf(11086,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11031]) ).

thf(11087,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11031]) ).

thf(11088,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11032]) ).

thf(11089,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11032]) ).

thf(11090,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11033]) ).

thf(11091,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11033]) ).

thf(11092,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11034]) ).

thf(11093,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11034]) ).

thf(11094,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11035]) ).

thf(11095,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11035]) ).

thf(11096,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11036]) ).

thf(11097,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11036]) ).

thf(11098,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
          | ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[11045]) ).

thf(11099,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $true )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[11045]) ).

thf(11100,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
         != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $true )
      | ( ( ~ ( ( SV101 != SV116 )
              | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                     != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                    | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                     != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[11047]) ).

thf(11101,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 ) )
        = $true )
      | ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
         != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $true )
      | ( ( ~ ( ( SV101 != SV116 )
              | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                     != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                    | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                     != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[11048]) ).

thf(11102,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( SV101 != SV116 )
        = $false )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11049]) ).

thf(11103,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                 != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                 != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
        = $false )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11049]) ).

thf(11104,plain,
    ! [SV48: $o] :
      ( ( SV48 = $true )
      | ( SV48 = $false )
      | ( SV48 = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11050]) ).

thf(11105,plain,
    ! [SV48: $o] :
      ( ( $false = $true )
      | ( SV48 = $false )
      | ( SV48 = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11051]) ).

thf(11106,plain,
    ! [SV48: $o] :
      ( ( SV48 = $true )
      | ( $false = $false )
      | ( SV48 = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11052]) ).

thf(11107,plain,
    ! [SV48: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( SV48 = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11053]) ).

thf(11108,plain,
    ! [SV48: $o] :
      ( ( SV48 = $true )
      | ( SV48 = $false )
      | ( SV48 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11054]) ).

thf(11109,plain,
    ! [SV48: $o] :
      ( ( $false = $true )
      | ( SV48 = $false )
      | ( SV48 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11055]) ).

thf(11110,plain,
    ! [SV48: $o] :
      ( ( SV48 = $true )
      | ( $false = $false )
      | ( SV48 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11056]) ).

thf(11111,plain,
    ! [SV48: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( SV48 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11057]) ).

thf(11112,plain,
    ! [SV48: $o] :
      ( ( SV48 = $true )
      | ( SV48 = $false )
      | ( $true = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11058]) ).

thf(11113,plain,
    ! [SV48: $o] :
      ( ( $false = $true )
      | ( SV48 = $false )
      | ( $true = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11059]) ).

thf(11114,plain,
    ! [SV48: $o] :
      ( ( SV48 = $true )
      | ( $false = $false )
      | ( $true = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11060]) ).

thf(11115,plain,
    ! [SV48: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( $true = $false )
      | ( SV48 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11061]) ).

thf(11116,plain,
    ! [SV48: $o] :
      ( ( SV48 = $true )
      | ( SV48 = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11062]) ).

thf(11117,plain,
    ! [SV48: $o] :
      ( ( $false = $true )
      | ( SV48 = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11063]) ).

thf(11118,plain,
    ! [SV48: $o] :
      ( ( SV48 = $true )
      | ( $false = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11064]) ).

thf(11119,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11065]) ).

thf(11120,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11066]) ).

thf(11121,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11067]) ).

thf(11122,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11068]) ).

thf(11123,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11069]) ).

thf(11124,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11070]) ).

thf(11125,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11071]) ).

thf(11126,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11072]) ).

thf(11127,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11073]) ).

thf(11128,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11074]) ).

thf(11129,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11075]) ).

thf(11130,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11076]) ).

thf(11131,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11077]) ).

thf(11132,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11078]) ).

thf(11133,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11079]) ).

thf(11134,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11080]) ).

thf(11135,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11081]) ).

thf(11136,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11082]) ).

thf(11137,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11083]) ).

thf(11138,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11084]) ).

thf(11139,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11085]) ).

thf(11140,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11086]) ).

thf(11141,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11087]) ).

thf(11142,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11088]) ).

thf(11143,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11089]) ).

thf(11144,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11090]) ).

thf(11145,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11091]) ).

thf(11146,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11092]) ).

thf(11147,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11093]) ).

thf(11148,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11094]) ).

thf(11149,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11095]) ).

thf(11150,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11096]) ).

thf(11151,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11097]) ).

thf(11152,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11098]) ).

thf(11153,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( ~ ( ( SV101 != SV116 )
              | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                     != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                    | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                     != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[11100]) ).

thf(11154,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
         != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $true )
      | ( ( ~ ( ( SV101 != SV116 )
              | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                     != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                    | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                     != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[11101]) ).

thf(11155,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( SV101 = SV116 )
        = $true )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11102]) ).

thf(11156,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
               != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
              | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
               != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
        = $true )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11103]) ).

thf(11157,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          | ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11152]) ).

thf(11158,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( SV101 != SV116 )
          | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                 != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                 != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11153]) ).

thf(11159,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
         != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $true )
      | ( ( ~ ( ( SV101 != SV116 )
              | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                     != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                    | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                     != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[11154]) ).

thf(11160,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
           != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
          | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
           != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
        = $false )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11156]) ).

thf(11161,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11157]) ).

thf(11162,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11157]) ).

thf(11163,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( SV101 != SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11158]) ).

thf(11164,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                 != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                 != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11158]) ).

thf(11165,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( ~ ( ( SV101 != SV116 )
              | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                     != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                    | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                     != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[11159]) ).

thf(11166,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
         != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11160]) ).

thf(11167,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
         != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11160]) ).

thf(11168,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11161]) ).

thf(11169,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11162]) ).

thf(11170,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( SV101 = SV116 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11163]) ).

thf(11171,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
               != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
              | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
               != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11164]) ).

thf(11172,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( SV101 != SV116 )
          | ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                 != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                 != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11165]) ).

thf(11173,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $true )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11166]) ).

thf(11174,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $true )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11167]) ).

thf(11175,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11168]) ).

thf(11176,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11168]) ).

thf(11177,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11169]) ).

thf(11178,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11169]) ).

thf(11179,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
           != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
          | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
           != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11171]) ).

thf(11180,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( SV101 != SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11172]) ).

thf(11181,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
                 != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
                | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
                 != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11172]) ).

thf(11182,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
          | ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[11173]) ).

thf(11183,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $true )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[11173]) ).

thf(11184,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11175]) ).

thf(11185,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11176]) ).

thf(11186,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11177]) ).

thf(11187,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( SV101 = SV116 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11178]) ).

thf(11188,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
         != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11179]) ).

thf(11189,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
         != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11179]) ).

thf(11190,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( SV101 = SV116 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11180]) ).

thf(11191,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
               != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
              | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
               != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11181]) ).

thf(11192,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11182]) ).

thf(11193,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11188]) ).

thf(11194,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11189]) ).

thf(11195,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
           != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
          | ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
           != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11191]) ).

thf(11196,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          | ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11192]) ).

thf(11197,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
          | ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[11193]) ).

thf(11198,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[11193]) ).

thf(11199,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
         != ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11195]) ).

thf(11200,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
         != ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11195]) ).

thf(11201,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11196]) ).

thf(11202,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11196]) ).

thf(11203,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11197]) ).

thf(11204,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11199]) ).

thf(11205,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11200]) ).

thf(11206,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11201]) ).

thf(11207,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11202]) ).

thf(11208,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          | ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11203]) ).

thf(11209,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
          | ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[11204]) ).

thf(11210,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[11204]) ).

thf(11211,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11206]) ).

thf(11212,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11206]) ).

thf(11213,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11207]) ).

thf(11214,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11207]) ).

thf(11215,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11208]) ).

thf(11216,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11208]) ).

thf(11217,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11209]) ).

thf(11218,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11211]) ).

thf(11219,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11212]) ).

thf(11220,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11213]) ).

thf(11221,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          = ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11214]) ).

thf(11222,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11215]) ).

thf(11223,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11216]) ).

thf(11224,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          | ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11217]) ).

thf(11225,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11222]) ).

thf(11226,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11222]) ).

thf(11227,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11223]) ).

thf(11228,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11223]) ).

thf(11229,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11224]) ).

thf(11230,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( ~ ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
              | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) ) )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11224]) ).

thf(11231,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11225]) ).

thf(11232,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11226]) ).

thf(11233,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11227]) ).

thf(11234,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11228]) ).

thf(11235,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11229]) ).

thf(11236,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
          | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11230]) ).

thf(11237,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11235]) ).

thf(11238,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11235]) ).

thf(11239,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11236]) ).

thf(11240,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 ) )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11236]) ).

thf(11241,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11237]) ).

thf(11242,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11238]) ).

thf(11243,plain,
    ! [SV116: nat,SV101: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11239]) ).

thf(11244,plain,
    ! [SV101: nat,SV116: nat] :
      ( ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $true )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV116 )
        = $false )
      | ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV101 )
        = $false )
      | ( ( ( divide_divide_nat @ SV101 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
          = ( divide_divide_nat @ SV116 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11240]) ).

thf(11245,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[10339,11244,11243,11242,11241,11234,11233,11232,11231,11221,11220,11219,11218,11210,11205,11198,11194,11190,11187,11186,11185,11184,11183,11174,11170,11155,11151,11150,11149,11148,11147,11146,11145,11144,11143,11142,11141,11140,11139,11138,11137,11136,11135,11134,11133,11132,11131,11130,11129,11128,11127,11126,11125,11124,11123,11122,11121,11120,11119,11118,11117,11116,11115,11114,11113,11112,11111,11110,11109,11108,11107,11106,11105,11104,11099,11046,11044,11043,11042,11041,11040,11039,11038,11037,10970,10953,10947,10929,10926,10925,10924,10923,10922,10920,10918,10916,10914,10913,10912,10911,10910,10908,10906,10904,10902,10901,10900,10899,10898,10896,10894,10892,10890,10889,10888,10887,10886,10882,10853,10852,10851,10850,10845,10844,10843,10842,10841,10840,10839,10838,10837,10836,10835,10834,10833,10832,10831,10830,10829,10825,10820,10793,10792,10791,10790,10789,10788,10787,10786,10785,10784,10783,10782,10762,10760,10758,10683,10677,10673,10643,10640,10637,10633,10624,10622,10620,10615,10612,10611,10608,10600,10595,10594,10592,10590,10588,10586,10584,10582,10576,10574,10572,10570,10567,10564,10559,10555,10554,10552,10550,10548,10545,10543,10541,10539,10538,10535,10532,10529,10506,10505,10504,10500,10499,10498,10497,10495,10494,10493,10488,10487,10486,10485,10484,10483,10482,10479,10477,10476,10475,10473,10472,10469,10467,10464,10463,10462,10456,10454,10423,10420,10418,10416,10415,10381,10380,10365,10348,10347,10344,10341]) ).

thf(11246,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[11245]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP239^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.06  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.25  % Computer : n014.cluster.edu
% 0.08/0.25  % Model    : x86_64 x86_64
% 0.08/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25  % Memory   : 8046.5625MB
% 0.08/0.25  % OS       : Linux 6.8.0-71-generic
% 0.08/0.25  % CPULimit : 300
% 0.08/0.25  % WCLimit  : 300
% 0.08/0.25  % DateTime : Tue Oct  6 11:23:27 UTC 2026
% 0.08/0.25  % CPUTime  : 
% 0.08/0.25  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 89.03/18.08  ............................................................................
% 89.03/18.08  
% 89.03/18.08   No.of.Axioms: 87
% 89.03/18.08  
% 89.03/18.08   Length.of.Defs: 0
% 89.03/18.08  
% 89.03/18.08   Contains.Choice.Funs: true
% 89.03/18.08  ...................................................................................................
% 89.03/18.08  
% 89.03/18.08  ********************************
% 89.03/18.08  *   All subproblems solved!    *
% 89.03/18.08  ********************************
% 89.03/18.08  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:87,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:11245,loop_count:0,foatp_calls:1,translation:fof_full)
% 89.03/18.08  
% 89.03/18.08  %**** Beginning of derivation protocol ****
% 89.03/18.08  % SZS output start CNFRefutation
% See solution above
% 89.03/18.10  
% 89.03/18.10  %**** End of derivation protocol ****
% 89.03/18.10  %**** no. of clauses in derivation: 1086 ****
% 89.03/18.10  %**** clause counter: 11245 ****
% 89.03/18.10  
% 89.03/18.10  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:87,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:11245,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------