TSTP Solution File: SWW473_3 by SnakeForV---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWW473_3 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:07:03 EDT 2022

% Result   : Theorem 0.10s 0.52s
% Output   : Refutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  531
% Syntax   : Number of formulae    :  550 (  11 unt; 525 typ;   0 def)
%            Number of atoms       :   71 (  11 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   73 (  27   ~;  23   |;  18   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :  140 ( 139 usr)
%            Number of type conns  :  505 ( 284   >; 221   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :  385 ( 385 usr; 102 con; 0-3 aty)
%            Number of variables   :   52 (  47   !;   5   ?;  52   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    x_a: $tType ).

tff(type_def_6,type,
    com: $tType ).

tff(type_def_7,type,
    pname: $tType ).

tff(type_def_8,type,
    bool: $tType ).

tff(type_def_9,type,
    int: $tType ).

tff(type_def_10,type,
    nat: $tType ).

tff(type_def_11,type,
    option_com: $tType ).

tff(type_def_12,type,
    fun_a_a: $tType ).

tff(type_def_13,type,
    fun_a_pname: $tType ).

tff(type_def_14,type,
    fun_a_bool: $tType ).

tff(type_def_15,type,
    fun_a_int: $tType ).

tff(type_def_16,type,
    fun_a_nat: $tType ).

tff(type_def_17,type,
    fun_a_fun_a_a: $tType ).

tff(type_def_18,type,
    fun_a_fun_a_bool: $tType ).

tff(type_def_19,type,
    fun_a_fun_pname_bool: $tType ).

tff(type_def_20,type,
    fun_a_fun_bool_bool: $tType ).

tff(type_def_21,type,
    fun_a_fun_int_bool: $tType ).

tff(type_def_22,type,
    fun_a_fun_nat_bool: $tType ).

tff(type_def_23,type,
    fun_a_1255737515l_bool: $tType ).

tff(type_def_24,type,
    fun_a_1752562919a_bool: $tType ).

tff(type_def_25,type,
    fun_pname_a: $tType ).

tff(type_def_26,type,
    fun_pname_pname: $tType ).

tff(type_def_27,type,
    fun_pname_bool: $tType ).

tff(type_def_28,type,
    fun_pname_int: $tType ).

tff(type_def_29,type,
    fun_pname_nat: $tType ).

tff(type_def_30,type,
    fun_pname_fun_a_bool: $tType ).

tff(type_def_31,type,
    fun_pn1208287926_pname: $tType ).

tff(type_def_32,type,
    fun_pn800050071e_bool: $tType ).

tff(type_def_33,type,
    fun_pn250273176l_bool: $tType ).

tff(type_def_34,type,
    fun_pn665169337t_bool: $tType ).

tff(type_def_35,type,
    fun_pn406123357t_bool: $tType ).

tff(type_def_36,type,
    fun_pn422929397l_bool: $tType ).

tff(type_def_37,type,
    fun_pn479984722e_bool: $tType ).

tff(type_def_38,type,
    fun_bool_bool: $tType ).

tff(type_def_39,type,
    fun_bo1549164019l_bool: $tType ).

tff(type_def_40,type,
    fun_int_a: $tType ).

tff(type_def_41,type,
    fun_int_pname: $tType ).

tff(type_def_42,type,
    fun_int_bool: $tType ).

tff(type_def_43,type,
    fun_int_int: $tType ).

tff(type_def_44,type,
    fun_int_fun_a_bool: $tType ).

tff(type_def_45,type,
    fun_in2065004473e_bool: $tType ).

tff(type_def_46,type,
    fun_in531499254l_bool: $tType ).

tff(type_def_47,type,
    fun_int_fun_int_bool: $tType ).

tff(type_def_48,type,
    fun_int_fun_int_int: $tType ).

tff(type_def_49,type,
    fun_int_fun_nat_bool: $tType ).

tff(type_def_50,type,
    fun_in1106722302l_bool: $tType ).

tff(type_def_51,type,
    fun_in711834963l_bool: $tType ).

tff(type_def_52,type,
    fun_in938817141l_bool: $tType ).

tff(type_def_53,type,
    fun_in719570932t_bool: $tType ).

tff(type_def_54,type,
    fun_in791894553l_bool: $tType ).

tff(type_def_55,type,
    fun_nat_a: $tType ).

tff(type_def_56,type,
    fun_nat_pname: $tType ).

tff(type_def_57,type,
    fun_nat_bool: $tType ).

tff(type_def_58,type,
    fun_nat_int: $tType ).

tff(type_def_59,type,
    fun_nat_nat: $tType ).

tff(type_def_60,type,
    fun_nat_fun_a_bool: $tType ).

tff(type_def_61,type,
    fun_na936072029e_bool: $tType ).

tff(type_def_62,type,
    fun_na1469252690l_bool: $tType ).

tff(type_def_63,type,
    fun_nat_fun_int_bool: $tType ).

tff(type_def_64,type,
    fun_nat_fun_nat_bool: $tType ).

tff(type_def_65,type,
    fun_nat_fun_nat_nat: $tType ).

tff(type_def_66,type,
    fun_na1632405922l_bool: $tType ).

tff(type_def_67,type,
    fun_na2122364079l_bool: $tType ).

tff(type_def_68,type,
    fun_na1583160273l_bool: $tType ).

tff(type_def_69,type,
    fun_na1436237685l_bool: $tType ).

tff(type_def_70,type,
    fun_na35521688t_bool: $tType ).

tff(type_def_71,type,
    fun_fun_a_bool_a: $tType ).

tff(type_def_72,type,
    fun_fun_a_bool_pname: $tType ).

tff(type_def_73,type,
    fun_fun_a_bool_bool: $tType ).

tff(type_def_74,type,
    fun_fun_a_bool_int: $tType ).

tff(type_def_75,type,
    fun_fun_a_bool_nat: $tType ).

tff(type_def_76,type,
    fun_fu1731003005a_bool: $tType ).

tff(type_def_77,type,
    fun_fu868269973a_bool: $tType ).

tff(type_def_78,type,
    fun_fu554186387l_bool: $tType ).

tff(type_def_79,type,
    fun_fu859530750t_bool: $tType ).

tff(type_def_80,type,
    fun_fu600484770t_bool: $tType ).

tff(type_def_81,type,
    fun_fu1471507361l_bool: $tType ).

tff(type_def_82,type,
    fun_fu1663643505a_bool: $tType ).

tff(type_def_83,type,
    fun_fu386216885l_bool: $tType ).

tff(type_def_84,type,
    fun_fu1434634199l_bool: $tType ).

tff(type_def_85,type,
    fun_fun_pname_bool_a: $tType ).

tff(type_def_86,type,
    fun_fu1499449723_pname: $tType ).

tff(type_def_87,type,
    fun_fu1430349052l_bool: $tType ).

tff(type_def_88,type,
    fun_fu1830380701ol_int: $tType ).

tff(type_def_89,type,
    fun_fu1668467777ol_nat: $tType ).

tff(type_def_90,type,
    fun_fu410713561e_bool: $tType ).

tff(type_def_91,type,
    fun_fu31783638l_bool: $tType ).

tff(type_def_92,type,
    fun_fu1159356667t_bool: $tType ).

tff(type_def_93,type,
    fun_fu900310687t_bool: $tType ).

tff(type_def_94,type,
    fun_fu802393907l_bool: $tType ).

tff(type_def_95,type,
    fun_fu2101097872e_bool: $tType ).

tff(type_def_96,type,
    fun_fu931343505l_bool: $tType ).

tff(type_def_97,type,
    fun_fu1232732404l_bool: $tType ).

tff(type_def_98,type,
    fun_fun_int_bool_a: $tType ).

tff(type_def_99,type,
    fun_fu953875929_pname: $tType ).

tff(type_def_100,type,
    fun_fu819804446l_bool: $tType ).

tff(type_def_101,type,
    fun_fun_int_bool_int: $tType ).

tff(type_def_102,type,
    fun_fun_int_bool_nat: $tType ).

tff(type_def_103,type,
    fun_fu989146164l_bool: $tType ).

tff(type_def_104,type,
    fun_fu554825757t_bool: $tType ).

tff(type_def_105,type,
    fun_fu380257692t_bool: $tType ).

tff(type_def_106,type,
    fun_fu295779777t_bool: $tType ).

tff(type_def_107,type,
    fun_fu1151772339l_bool: $tType ).

tff(type_def_108,type,
    fun_fu1075512626t_bool: $tType ).

tff(type_def_109,type,
    fun_fu1637550549l_bool: $tType ).

tff(type_def_110,type,
    fun_fu587680722l_bool: $tType ).

tff(type_def_111,type,
    fun_fun_nat_bool_a: $tType ).

tff(type_def_112,type,
    fun_fu665170229_pname: $tType ).

tff(type_def_113,type,
    fun_fu425979586l_bool: $tType ).

tff(type_def_114,type,
    fun_fun_nat_bool_int: $tType ).

tff(type_def_115,type,
    fun_fun_nat_bool_nat: $tType ).

tff(type_def_116,type,
    fun_fu1016514960l_bool: $tType ).

tff(type_def_117,type,
    fun_fu1080509377t_bool: $tType ).

tff(type_def_118,type,
    fun_fu821463397t_bool: $tType ).

tff(type_def_119,type,
    fun_fu429110920t_bool: $tType ).

tff(type_def_120,type,
    fun_fu1217155507l_bool: $tType ).

tff(type_def_121,type,
    fun_fu915923926t_bool: $tType ).

tff(type_def_122,type,
    fun_fu1436348701l_bool: $tType ).

tff(type_def_123,type,
    fun_fu1516990510l_bool: $tType ).

tff(type_def_124,type,
    fun_fu885608257l_bool: $tType ).

tff(type_def_125,type,
    fun_fu2020802748ol_nat: $tType ).

tff(type_def_126,type,
    fun_fu911136611l_bool: $tType ).

tff(type_def_127,type,
    fun_fu418465139l_bool: $tType ).

tff(type_def_128,type,
    fun_fu399576434l_bool: $tType ).

tff(type_def_129,type,
    fun_fu1730389579ol_nat: $tType ).

tff(type_def_130,type,
    fun_fu2087345469l_bool: $tType ).

tff(type_def_131,type,
    fun_fu1911931399l_bool: $tType ).

tff(type_def_132,type,
    fun_fu1540142484l_bool: $tType ).

tff(type_def_133,type,
    fun_fu236049833ol_nat: $tType ).

tff(type_def_134,type,
    fun_fu1070826941l_bool: $tType ).

tff(type_def_135,type,
    fun_fu209342027l_bool: $tType ).

tff(type_def_136,type,
    fun_fu814369080l_bool: $tType ).

tff(type_def_137,type,
    fun_fu411113733ol_nat: $tType ).

tff(type_def_138,type,
    fun_fu616551101l_bool: $tType ).

tff(type_def_139,type,
    fun_fu140186515l_bool: $tType ).

tff(type_def_140,type,
    fun_fu255076663l_bool: $tType ).

tff(type_def_141,type,
    fun_fu1438281908l_bool: $tType ).

tff(type_def_142,type,
    fun_fu717296342l_bool: $tType ).

tff(type_def_143,type,
    fun_fu61768826l_bool: $tType ).

tff(func_def_0,type,
    cOMBB_1897541054_pname: ( fun_a_fun_a_bool * fun_pname_a ) > fun_pname_fun_a_bool ).

tff(func_def_1,type,
    cOMBB_375279840ol_int: ( fun_a_fun_a_bool * fun_int_a ) > fun_int_fun_a_bool ).

tff(func_def_2,type,
    cOMBB_bool_bool_a: ( fun_bool_bool * fun_a_bool ) > fun_a_bool ).

tff(func_def_3,type,
    cOMBB_647938656_pname: ( fun_bool_bool * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_4,type,
    cOMBB_bool_bool_int: ( fun_bool_bool * fun_int_bool ) > fun_int_bool ).

tff(func_def_5,type,
    cOMBB_bool_bool_nat: ( fun_bool_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_6,type,
    cOMBB_1972296269bool_a: ( fun_bo1549164019l_bool * fun_a_bool ) > fun_a_fun_bool_bool ).

tff(func_def_7,type,
    cOMBB_675860798_pname: ( fun_bo1549164019l_bool * fun_pname_bool ) > fun_pn250273176l_bool ).

tff(func_def_8,type,
    cOMBB_1652995168ol_int: ( fun_bo1549164019l_bool * fun_int_bool ) > fun_in531499254l_bool ).

tff(func_def_9,type,
    cOMBB_1015721476ol_nat: ( fun_bo1549164019l_bool * fun_nat_bool ) > fun_na1469252690l_bool ).

tff(func_def_10,type,
    cOMBB_338059395a_bool: ( fun_bo1549164019l_bool * fun_fun_a_bool_bool ) > fun_fu554186387l_bool ).

tff(func_def_11,type,
    cOMBB_2095475776e_bool: ( fun_bo1549164019l_bool * fun_fu1430349052l_bool ) > fun_fu31783638l_bool ).

tff(func_def_12,type,
    cOMBB_1974511970t_bool: ( fun_bo1549164019l_bool * fun_fu819804446l_bool ) > fun_fu989146164l_bool ).

tff(func_def_13,type,
    cOMBB_444170502t_bool: ( fun_bo1549164019l_bool * fun_fu425979586l_bool ) > fun_fu1016514960l_bool ).

tff(func_def_14,type,
    cOMBB_int_bool_nat: ( fun_int_bool * fun_nat_int ) > fun_nat_bool ).

tff(func_def_15,type,
    cOMBB_1628441366ol_nat: ( fun_int_fun_int_bool * fun_nat_int ) > fun_nat_fun_int_bool ).

tff(func_def_16,type,
    cOMBB_800536526ol_nat: ( fun_nat_fun_nat_bool * fun_nat_nat ) > fun_nat_fun_nat_bool ).

tff(func_def_17,type,
    cOMBB_1146692694ol_nat: ( fun_na1436237685l_bool * fun_nat_nat ) > fun_na1436237685l_bool ).

tff(func_def_18,type,
    cOMBB_1273333599bool_a: ( fun_fun_a_bool_bool * fun_a_fun_a_bool ) > fun_a_bool ).

tff(func_def_19,type,
    cOMBB_313729068ol_int: ( fun_fu1471507361l_bool * fun_int_fun_a_bool ) > fun_in1106722302l_bool ).

tff(func_def_20,type,
    cOMBB_1823939024ol_nat: ( fun_fu1471507361l_bool * fun_nat_fun_a_bool ) > fun_na1632405922l_bool ).

tff(func_def_21,type,
    cOMBB_607112096ol_int: ( fun_fu802393907l_bool * fun_in2065004473e_bool ) > fun_in711834963l_bool ).

tff(func_def_22,type,
    cOMBB_2117322052ol_nat: ( fun_fu802393907l_bool * fun_na936072029e_bool ) > fun_na2122364079l_bool ).

tff(func_def_23,type,
    cOMBB_1418110531ol_int: ( fun_fu819804446l_bool * fun_int_fun_int_bool ) > fun_int_bool ).

tff(func_def_24,type,
    cOMBB_1761098400ol_int: ( fun_fu1151772339l_bool * fun_int_fun_int_bool ) > fun_in938817141l_bool ).

tff(func_def_25,type,
    cOMBB_1123824708ol_nat: ( fun_fu1151772339l_bool * fun_nat_fun_int_bool ) > fun_na1583160273l_bool ).

tff(func_def_26,type,
    cOMBB_955900739ol_nat: ( fun_fu425979586l_bool * fun_nat_fun_nat_bool ) > fun_nat_bool ).

tff(func_def_27,type,
    cOMBB_516767136ol_int: ( fun_fu1217155507l_bool * fun_int_fun_nat_bool ) > fun_in791894553l_bool ).

tff(func_def_28,type,
    cOMBB_2026977092ol_nat: ( fun_fu1217155507l_bool * fun_nat_fun_nat_bool ) > fun_na1436237685l_bool ).

tff(func_def_29,type,
    cOMBC_a_a_bool: fun_a_fun_a_bool > fun_a_fun_a_bool ).

tff(func_def_30,type,
    cOMBC_1355376034l_bool: fun_a_1255737515l_bool > fun_fu1731003005a_bool ).

tff(func_def_31,type,
    cOMBC_394484100a_bool: fun_a_1752562919a_bool > fun_fu868269973a_bool ).

tff(func_def_32,type,
    cOMBC_pname_a_bool: fun_pname_fun_a_bool > fun_a_fun_pname_bool ).

tff(func_def_33,type,
    cOMBC_1149511130e_bool: fun_pn800050071e_bool > fun_pn800050071e_bool ).

tff(func_def_34,type,
    cOMBC_1058051404l_bool: fun_pn422929397l_bool > fun_fu410713561e_bool ).

tff(func_def_35,type,
    cOMBC_int_a_bool: fun_int_fun_a_bool > fun_a_fun_int_bool ).

tff(func_def_36,type,
    cOMBC_int_int_bool: fun_int_fun_int_bool > fun_int_fun_int_bool ).

tff(func_def_37,type,
    cOMBC_1753430397l_bool: fun_in1106722302l_bool > fun_fu859530750t_bool ).

tff(func_def_38,type,
    cOMBC_316919022l_bool: fun_in711834963l_bool > fun_fu1159356667t_bool ).

tff(func_def_39,type,
    cOMBC_94739984l_bool: fun_in938817141l_bool > fun_fu554825757t_bool ).

tff(func_def_40,type,
    cOMBC_1683390479t_bool: fun_in719570932t_bool > fun_fu380257692t_bool ).

tff(func_def_41,type,
    cOMBC_1848398772l_bool: fun_in791894553l_bool > fun_fu1080509377t_bool ).

tff(func_def_42,type,
    cOMBC_nat_int_bool: fun_nat_fun_int_bool > fun_int_fun_nat_bool ).

tff(func_def_43,type,
    cOMBC_nat_nat_bool: fun_nat_fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_44,type,
    cOMBC_1928494297l_bool: fun_na1632405922l_bool > fun_fu600484770t_bool ).

tff(func_def_45,type,
    cOMBC_386238098l_bool: fun_na2122364079l_bool > fun_fu900310687t_bool ).

tff(func_def_46,type,
    cOMBC_620423604l_bool: fun_na1583160273l_bool > fun_fu295779777t_bool ).

tff(func_def_47,type,
    cOMBC_226598744l_bool: fun_na1436237685l_bool > fun_fu821463397t_bool ).

tff(func_def_48,type,
    cOMBC_178881787t_bool: fun_na35521688t_bool > fun_fu429110920t_bool ).

tff(func_def_49,type,
    cOMBC_1732670874l_bool: fun_fu1471507361l_bool > fun_fu1471507361l_bool ).

tff(func_def_50,type,
    cOMBC_1284144636l_bool: fun_fu802393907l_bool > fun_fu802393907l_bool ).

tff(func_def_51,type,
    cOMBC_605892544l_bool: fun_fu1151772339l_bool > fun_fu1151772339l_bool ).

tff(func_def_52,type,
    cOMBC_1693257480l_bool: fun_fu1217155507l_bool > fun_fu1217155507l_bool ).

tff(func_def_53,type,
    cOMBC_331553030l_bool: fun_fu418465139l_bool > fun_fu418465139l_bool ).

tff(func_def_54,type,
    cOMBC_7971162l_bool: fun_fu1911931399l_bool > fun_fu1911931399l_bool ).

tff(func_def_55,type,
    cOMBC_348868698l_bool: fun_fu209342027l_bool > fun_fu209342027l_bool ).

tff(func_def_56,type,
    cOMBC_595898202l_bool: fun_fu140186515l_bool > fun_fu140186515l_bool ).

tff(func_def_57,type,
    cOMBI_nat: fun_nat_nat ).

tff(func_def_58,type,
    cOMBK_a_pname: x_a > fun_pname_a ).

tff(func_def_59,type,
    cOMBK_bool_a: bool > fun_a_bool ).

tff(func_def_60,type,
    cOMBK_bool_int: bool > fun_int_bool ).

tff(func_def_61,type,
    cOMBK_bool_nat: bool > fun_nat_bool ).

tff(func_def_62,type,
    cOMBK_int_nat: int > fun_nat_int ).

tff(func_def_63,type,
    cOMBS_a_bool_bool: ( fun_a_fun_bool_bool * fun_a_bool ) > fun_a_bool ).

tff(func_def_64,type,
    cOMBS_568398431l_bool: ( fun_pn250273176l_bool * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_65,type,
    cOMBS_int_bool_bool: ( fun_in531499254l_bool * fun_int_bool ) > fun_int_bool ).

tff(func_def_66,type,
    cOMBS_nat_bool_bool: ( fun_na1469252690l_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_67,type,
    cOMBS_1035972772l_bool: ( fun_fu554186387l_bool * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).

tff(func_def_68,type,
    cOMBS_350070575l_bool: ( fun_fu31783638l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).

tff(func_def_69,type,
    cOMBS_1912792529l_bool: ( fun_fu989146164l_bool * fun_fu819804446l_bool ) > fun_fu819804446l_bool ).

tff(func_def_70,type,
    cOMBS_1187019125l_bool: ( fun_fu1016514960l_bool * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).

tff(func_def_71,type,
    body: pname > option_com ).

tff(func_def_72,type,
    finite_card_a: fun_fun_a_bool_nat ).

tff(func_def_73,type,
    finite_card_pname: fun_fu1668467777ol_nat ).

tff(func_def_74,type,
    finite_card_int: fun_fun_int_bool_nat ).

tff(func_def_75,type,
    finite_card_nat: fun_fun_nat_bool_nat ).

tff(func_def_76,type,
    finite1306199131a_bool: fun_fu2020802748ol_nat ).

tff(func_def_77,type,
    finite1340463720e_bool: fun_fu1730389579ol_nat ).

tff(func_def_78,type,
    finite1876863882t_bool: fun_fu236049833ol_nat ).

tff(func_def_79,type,
    finite346522414t_bool: fun_fu411113733ol_nat ).

tff(func_def_80,type,
    finite_finite_a: fun_fun_a_bool_bool ).

tff(func_def_81,type,
    finite_finite_pname: fun_fu1430349052l_bool ).

tff(func_def_82,type,
    finite_finite_int: fun_fu819804446l_bool ).

tff(func_def_83,type,
    finite_finite_nat: fun_fu425979586l_bool ).

tff(func_def_84,type,
    finite347923420a_bool: fun_fu885608257l_bool ).

tff(func_def_85,type,
    finite595471783e_bool: fun_fu399576434l_bool ).

tff(func_def_86,type,
    finite1395289673t_bool: fun_fu1540142484l_bool ).

tff(func_def_87,type,
    finite2012431853t_bool: fun_fu814369080l_bool ).

tff(func_def_88,type,
    finite1381704300l_bool: fun_fu255076663l_bool ).

tff(func_def_89,type,
    finite786885583l_bool: fun_fu1438281908l_bool ).

tff(func_def_90,type,
    finite2095298929l_bool: fun_fu717296342l_bool ).

tff(func_def_91,type,
    finite1701474069l_bool: fun_fu61768826l_bool ).

tff(func_def_92,type,
    finite_folding_one_a: ( fun_a_fun_a_a * fun_fun_a_bool_a ) > bool ).

tff(func_def_93,type,
    finite1282449217_pname: ( fun_pn1208287926_pname * fun_fu1499449723_pname ) > bool ).

tff(func_def_94,type,
    finite1626084323ne_int: ( fun_int_fun_int_int * fun_fun_int_bool_int ) > bool ).

tff(func_def_95,type,
    finite988810631ne_nat: ( fun_nat_fun_nat_nat * fun_fun_nat_bool_nat ) > bool ).

tff(func_def_96,type,
    finite1819937229idem_a: ( fun_a_fun_a_a * fun_fun_a_bool_a ) > bool ).

tff(func_def_97,type,
    finite89670078_pname: ( fun_pn1208287926_pname * fun_fu1499449723_pname ) > bool ).

tff(func_def_98,type,
    finite1432773856em_int: ( fun_int_fun_int_int * fun_fun_int_bool_int ) > bool ).

tff(func_def_99,type,
    finite795500164em_nat: ( fun_nat_fun_nat_nat * fun_fun_nat_bool_nat ) > bool ).

tff(func_def_100,type,
    abs_abs_int: int > int ).

tff(func_def_101,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_102,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_103,type,
    minus_1762468890a_bool: fun_fu1663643505a_bool ).

tff(func_def_104,type,
    minus_1015773161e_bool: fun_fu2101097872e_bool ).

tff(func_def_105,type,
    minus_1449998731t_bool: fun_fu1075512626t_bool ).

tff(func_def_106,type,
    minus_2067140911t_bool: fun_fu915923926t_bool ).

tff(func_def_107,type,
    one_one_int: int ).

tff(func_def_108,type,
    one_one_nat: nat ).

tff(func_def_109,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_110,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_111,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_112,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_113,type,
    zero_zero_int: int ).

tff(func_def_114,type,
    zero_zero_nat: nat ).

tff(func_def_115,type,
    the_a: fun_fun_a_bool_a ).

tff(func_def_116,type,
    the_int: fun_fun_int_bool_int ).

tff(func_def_117,type,
    the_nat: fun_fun_nat_bool_nat ).

tff(func_def_118,type,
    if_nat: bool > fun_nat_fun_nat_nat ).

tff(func_def_119,type,
    bit1: int > int ).

tff(func_def_120,type,
    pls: int ).

tff(func_def_121,type,
    number_number_of_int: int > int ).

tff(func_def_122,type,
    number_number_of_nat: int > nat ).

tff(func_def_123,type,
    succ: int > int ).

tff(func_def_124,type,
    suc: fun_nat_nat ).

tff(func_def_125,type,
    nat_case_bool: ( bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_126,type,
    nat_case_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_127,type,
    semiri1621563631at_int: fun_nat_int ).

tff(func_def_128,type,
    nat_neg: fun_int_bool ).

tff(func_def_129,type,
    nat_tsub: fun_int_fun_int_int ).

tff(func_def_130,type,
    the_com: option_com > com ).

tff(func_def_131,type,
    bot_bot_bool: bool ).

tff(func_def_132,type,
    bot_bot_nat: nat ).

tff(func_def_133,type,
    bot_bot_fun_a_bool: fun_a_bool ).

tff(func_def_134,type,
    bot_bo844097828e_bool: fun_pname_bool ).

tff(func_def_135,type,
    bot_bot_fun_int_bool: fun_int_bool ).

tff(func_def_136,type,
    bot_bot_fun_nat_bool: fun_nat_bool ).

tff(func_def_137,type,
    ord_less_int: fun_int_fun_int_bool ).

tff(func_def_138,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(func_def_139,type,
    ord_le1912455174t_bool: fun_fu1151772339l_bool ).

tff(func_def_140,type,
    ord_le382113706t_bool: fun_fu1217155507l_bool ).

tff(func_def_141,type,
    ord_less_eq_bool: fun_bo1549164019l_bool ).

tff(func_def_142,type,
    ord_less_eq_int: fun_int_fun_int_bool ).

tff(func_def_143,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

tff(func_def_144,type,
    ord_le1311769555a_bool: fun_fu1471507361l_bool ).

tff(func_def_145,type,
    ord_le313189616e_bool: fun_fu802393907l_bool ).

tff(func_def_146,type,
    ord_le951220754t_bool: fun_fu1151772339l_bool ).

tff(func_def_147,type,
    ord_le1568362934t_bool: fun_fu1217155507l_bool ).

tff(func_def_148,type,
    ord_le1375614389l_bool: fun_fu418465139l_bool ).

tff(func_def_149,type,
    ord_le675606854l_bool: fun_fu1911931399l_bool ).

tff(func_def_150,type,
    ord_le1848167016l_bool: fun_fu209342027l_bool ).

tff(func_def_151,type,
    ord_le1454342156l_bool: fun_fu140186515l_bool ).

tff(func_def_152,type,
    collect_a: fun_a_bool > fun_a_bool ).

tff(func_def_153,type,
    collect_pname: fun_pname_bool > fun_pname_bool ).

tff(func_def_154,type,
    collect_int: fun_int_bool > fun_int_bool ).

tff(func_def_155,type,
    collect_nat: fun_nat_bool > fun_nat_bool ).

tff(func_def_156,type,
    collect_fun_a_bool: fun_fun_a_bool_bool > fun_fun_a_bool_bool ).

tff(func_def_157,type,
    collec1974731493e_bool: fun_fu1430349052l_bool > fun_fu1430349052l_bool ).

tff(func_def_158,type,
    collect_fun_int_bool: fun_fu819804446l_bool > fun_fu819804446l_bool ).

tff(func_def_159,type,
    collect_fun_nat_bool: fun_fu425979586l_bool > fun_fu425979586l_bool ).

tff(func_def_160,type,
    collec707592106l_bool: fun_fu885608257l_bool > fun_fu885608257l_bool ).

tff(func_def_161,type,
    collec1613912337l_bool: fun_fu399576434l_bool > fun_fu399576434l_bool ).

tff(func_def_162,type,
    collec1409689523l_bool: fun_fu1540142484l_bool > fun_fu1540142484l_bool ).

tff(func_def_163,type,
    collec1015864663l_bool: fun_fu814369080l_bool > fun_fu814369080l_bool ).

tff(func_def_164,type,
    image_a_a: ( fun_a_a * fun_a_bool ) > fun_a_bool ).

tff(func_def_165,type,
    image_a_pname: ( fun_a_pname * fun_a_bool ) > fun_pname_bool ).

tff(func_def_166,type,
    image_a_int: ( fun_a_int * fun_a_bool ) > fun_int_bool ).

tff(func_def_167,type,
    image_a_nat: ( fun_a_nat * fun_a_bool ) > fun_nat_bool ).

tff(func_def_168,type,
    image_a_fun_a_bool: ( fun_a_fun_a_bool * fun_a_bool ) > fun_fun_a_bool_bool ).

tff(func_def_169,type,
    image_819518260e_bool: ( fun_a_fun_pname_bool * fun_a_bool ) > fun_fu1430349052l_bool ).

tff(func_def_170,type,
    image_a_fun_int_bool: ( fun_a_fun_int_bool * fun_a_bool ) > fun_fu819804446l_bool ).

tff(func_def_171,type,
    image_a_fun_nat_bool: ( fun_a_fun_nat_bool * fun_a_bool ) > fun_fu425979586l_bool ).

tff(func_def_172,type,
    image_pname_a: ( fun_pname_a * fun_pname_bool ) > fun_a_bool ).

tff(func_def_173,type,
    image_pname_pname: ( fun_pname_pname * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_174,type,
    image_pname_int: ( fun_pname_int * fun_pname_bool ) > fun_int_bool ).

tff(func_def_175,type,
    image_pname_nat: ( fun_pname_nat * fun_pname_bool ) > fun_nat_bool ).

tff(func_def_176,type,
    image_112932426a_bool: ( fun_pname_fun_a_bool * fun_pname_bool ) > fun_fun_a_bool_bool ).

tff(func_def_177,type,
    image_47868345e_bool: ( fun_pn800050071e_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).

tff(func_def_178,type,
    image_1512837979t_bool: ( fun_pn665169337t_bool * fun_pname_bool ) > fun_fu819804446l_bool ).

tff(func_def_179,type,
    image_2129980159t_bool: ( fun_pn406123357t_bool * fun_pname_bool ) > fun_fu425979586l_bool ).

tff(func_def_180,type,
    image_int_a: ( fun_int_a * fun_int_bool ) > fun_a_bool ).

tff(func_def_181,type,
    image_int_pname: ( fun_int_pname * fun_int_bool ) > fun_pname_bool ).

tff(func_def_182,type,
    image_int_fun_a_bool: ( fun_int_fun_a_bool * fun_int_bool ) > fun_fun_a_bool_bool ).

tff(func_def_183,type,
    image_637364955e_bool: ( fun_in2065004473e_bool * fun_int_bool ) > fun_fu1430349052l_bool ).

tff(func_def_184,type,
    image_275383677t_bool: ( fun_int_fun_int_bool * fun_int_bool ) > fun_fu819804446l_bool ).

tff(func_def_185,type,
    image_892525857t_bool: ( fun_int_fun_nat_bool * fun_int_bool ) > fun_fu425979586l_bool ).

tff(func_def_186,type,
    image_nat_a: ( fun_nat_a * fun_nat_bool ) > fun_a_bool ).

tff(func_def_187,type,
    image_nat_pname: ( fun_nat_pname * fun_nat_bool ) > fun_pname_bool ).

tff(func_def_188,type,
    image_nat_int: ( fun_nat_int * fun_nat_bool ) > fun_int_bool ).

tff(func_def_189,type,
    image_nat_fun_a_bool: ( fun_nat_fun_a_bool * fun_nat_bool ) > fun_fun_a_bool_bool ).

tff(func_def_190,type,
    image_1655916159e_bool: ( fun_na936072029e_bool * fun_nat_bool ) > fun_fu1430349052l_bool ).

tff(func_def_191,type,
    image_1556378401t_bool: ( fun_nat_fun_int_bool * fun_nat_bool ) > fun_fu819804446l_bool ).

tff(func_def_192,type,
    image_26036933t_bool: ( fun_nat_fun_nat_bool * fun_nat_bool ) > fun_fu425979586l_bool ).

tff(func_def_193,type,
    image_fun_a_bool_a: ( fun_fun_a_bool_a * fun_fun_a_bool_bool ) > fun_a_bool ).

tff(func_def_194,type,
    image_1854862208_pname: ( fun_fun_a_bool_pname * fun_fun_a_bool_bool ) > fun_pname_bool ).

tff(func_def_195,type,
    image_fun_a_bool_int: ( fun_fun_a_bool_int * fun_fun_a_bool_bool ) > fun_int_bool ).

tff(func_def_196,type,
    image_fun_a_bool_nat: ( fun_fun_a_bool_nat * fun_fun_a_bool_bool ) > fun_nat_bool ).

tff(func_def_197,type,
    image_876012084bool_a: ( fun_fun_pname_bool_a * fun_fu1430349052l_bool ) > fun_a_bool ).

tff(func_def_198,type,
    image_1283814551_pname: ( fun_fu1499449723_pname * fun_fu1430349052l_bool ) > fun_pname_bool ).

tff(func_def_199,type,
    image_41399353ol_int: ( fun_fu1830380701ol_int * fun_fu1430349052l_bool ) > fun_int_bool ).

tff(func_def_200,type,
    image_1551609309ol_nat: ( fun_fu1668467777ol_nat * fun_fu1430349052l_bool ) > fun_nat_bool ).

tff(func_def_201,type,
    image_fun_int_bool_a: ( fun_fun_int_bool_a * fun_fu819804446l_bool ) > fun_a_bool ).

tff(func_def_202,type,
    image_62782965_pname: ( fun_fu953875929_pname * fun_fu819804446l_bool ) > fun_pname_bool ).

tff(func_def_203,type,
    image_2069007511ol_int: ( fun_fun_int_bool_int * fun_fu819804446l_bool ) > fun_int_bool ).

tff(func_def_204,type,
    image_1431733819ol_nat: ( fun_fun_int_bool_nat * fun_fu819804446l_bool ) > fun_nat_bool ).

tff(func_def_205,type,
    image_fun_nat_bool_a: ( fun_fun_nat_bool_a * fun_fu425979586l_bool ) > fun_a_bool ).

tff(func_def_206,type,
    image_1921560913_pname: ( fun_fu665170229_pname * fun_fu425979586l_bool ) > fun_pname_bool ).

tff(func_def_207,type,
    image_1133522419ol_int: ( fun_fun_nat_bool_int * fun_fu425979586l_bool ) > fun_int_bool ).

tff(func_def_208,type,
    image_496248727ol_nat: ( fun_fun_nat_bool_nat * fun_fu425979586l_bool ) > fun_nat_bool ).

tff(func_def_209,type,
    insert_a: fun_a_1752562919a_bool ).

tff(func_def_210,type,
    insert_pname: fun_pn479984722e_bool ).

tff(func_def_211,type,
    insert_int: fun_in719570932t_bool ).

tff(func_def_212,type,
    insert_nat: fun_na35521688t_bool ).

tff(func_def_213,type,
    insert_fun_a_bool: fun_fu1434634199l_bool ).

tff(func_def_214,type,
    insert1325755072e_bool: fun_fu1232732404l_bool ).

tff(func_def_215,type,
    insert_fun_int_bool: fun_fu587680722l_bool ).

tff(func_def_216,type,
    insert_fun_nat_bool: fun_fu1516990510l_bool ).

tff(func_def_217,type,
    the_elem_a: fun_fun_a_bool_a ).

tff(func_def_218,type,
    the_elem_int: fun_fun_int_bool_int ).

tff(func_def_219,type,
    the_elem_nat: fun_fun_nat_bool_nat ).

tff(func_def_220,type,
    fFalse: bool ).

tff(func_def_221,type,
    fNot: fun_bool_bool ).

tff(func_def_222,type,
    fTrue: bool ).

tff(func_def_223,type,
    fconj: fun_bo1549164019l_bool ).

tff(func_def_224,type,
    fdisj: fun_bo1549164019l_bool ).

tff(func_def_225,type,
    fequal_a: fun_a_fun_a_bool ).

tff(func_def_226,type,
    fequal_pname: fun_pn800050071e_bool ).

tff(func_def_227,type,
    fequal_int: fun_int_fun_int_bool ).

tff(func_def_228,type,
    fequal_nat: fun_nat_fun_nat_bool ).

tff(func_def_229,type,
    fequal_fun_a_bool: fun_fu1471507361l_bool ).

tff(func_def_230,type,
    fequal533582459e_bool: fun_fu802393907l_bool ).

tff(func_def_231,type,
    fequal_fun_int_bool: fun_fu1151772339l_bool ).

tff(func_def_232,type,
    fequal_fun_nat_bool: fun_fu1217155507l_bool ).

tff(func_def_233,type,
    fimplies: fun_bo1549164019l_bool ).

tff(func_def_234,type,
    hAPP_a_a: ( fun_a_a * x_a ) > x_a ).

tff(func_def_235,type,
    hAPP_a_bool: ( fun_a_bool * x_a ) > bool ).

tff(func_def_236,type,
    hAPP_a_fun_a_a: ( fun_a_fun_a_a * x_a ) > fun_a_a ).

tff(func_def_237,type,
    hAPP_a_fun_a_bool: ( fun_a_fun_a_bool * x_a ) > fun_a_bool ).

tff(func_def_238,type,
    hAPP_a93125764e_bool: ( fun_a_fun_pname_bool * x_a ) > fun_pname_bool ).

tff(func_def_239,type,
    hAPP_a_fun_bool_bool: ( fun_a_fun_bool_bool * x_a ) > fun_bool_bool ).

tff(func_def_240,type,
    hAPP_a_fun_int_bool: ( fun_a_fun_int_bool * x_a ) > fun_int_bool ).

tff(func_def_241,type,
    hAPP_a85458249l_bool: ( fun_a_1255737515l_bool * x_a ) > fun_fun_a_bool_bool ).

tff(func_def_242,type,
    hAPP_a1206381875a_bool: ( fun_a_1752562919a_bool * x_a ) > fun_fu1731003005a_bool ).

tff(func_def_243,type,
    hAPP_pname_a: ( fun_pname_a * pname ) > x_a ).

tff(func_def_244,type,
    hAPP_pname_pname: ( fun_pname_pname * pname ) > pname ).

tff(func_def_245,type,
    hAPP_pname_bool: ( fun_pname_bool * pname ) > bool ).

tff(func_def_246,type,
    hAPP_p1534023578a_bool: ( fun_pname_fun_a_bool * pname ) > fun_a_bool ).

tff(func_def_247,type,
    hAPP_p1170154830_pname: ( fun_pn1208287926_pname * pname ) > fun_pname_pname ).

tff(func_def_248,type,
    hAPP_p61793385e_bool: ( fun_pn800050071e_bool * pname ) > fun_pname_bool ).

tff(func_def_249,type,
    hAPP_p393069232l_bool: ( fun_pn250273176l_bool * pname ) > fun_bool_bool ).

tff(func_def_250,type,
    hAPP_p338031245l_bool: ( fun_pn422929397l_bool * pname ) > fun_fu1430349052l_bool ).

tff(func_def_251,type,
    hAPP_p905327722e_bool: ( fun_pn479984722e_bool * pname ) > fun_fu410713561e_bool ).

tff(func_def_252,type,
    hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_253,type,
    hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).

tff(func_def_254,type,
    hAPP_int_a: ( fun_int_a * int ) > x_a ).

tff(func_def_255,type,
    hAPP_int_bool: ( fun_int_bool * int ) > bool ).

tff(func_def_256,type,
    hAPP_int_int: ( fun_int_int * int ) > int ).

tff(func_def_257,type,
    hAPP_int_fun_a_bool: ( fun_int_fun_a_bool * int ) > fun_a_bool ).

tff(func_def_258,type,
    hAPP_i7355787e_bool: ( fun_in2065004473e_bool * int ) > fun_pname_bool ).

tff(func_def_259,type,
    hAPP_i68813070l_bool: ( fun_in531499254l_bool * int ) > fun_bool_bool ).

tff(func_def_260,type,
    hAPP_i1948725293t_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).

tff(func_def_261,type,
    hAPP_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_262,type,
    hAPP_i418383825t_bool: ( fun_int_fun_nat_bool * int ) > fun_nat_bool ).

tff(func_def_263,type,
    hAPP_i888906320l_bool: ( fun_in1106722302l_bool * int ) > fun_fun_a_bool_bool ).

tff(func_def_264,type,
    hAPP_i1587699435l_bool: ( fun_in711834963l_bool * int ) > fun_fu1430349052l_bool ).

tff(func_def_265,type,
    hAPP_i2112223885l_bool: ( fun_in938817141l_bool * int ) > fun_fu819804446l_bool ).

tff(func_def_266,type,
    hAPP_i1529485324t_bool: ( fun_in719570932t_bool * int ) > fun_fu554825757t_bool ).

tff(func_def_267,type,
    hAPP_i1718399025l_bool: ( fun_in791894553l_bool * int ) > fun_fu425979586l_bool ).

tff(func_def_268,type,
    hAPP_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(func_def_269,type,
    hAPP_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_270,type,
    hAPP_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_271,type,
    hAPP_nat_fun_a_bool: ( fun_nat_fun_a_bool * nat ) > fun_a_bool ).

tff(func_def_272,type,
    hAPP_n1025906991e_bool: ( fun_na936072029e_bool * nat ) > fun_pname_bool ).

tff(func_def_273,type,
    hAPP_n1006566506l_bool: ( fun_na1469252690l_bool * nat ) > fun_bool_bool ).

tff(func_def_274,type,
    hAPP_n1082236369t_bool: ( fun_nat_fun_int_bool * nat ) > fun_int_bool ).

tff(func_def_275,type,
    hAPP_n1699378549t_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_276,type,
    hAPP_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_277,type,
    hAPP_n1414589940l_bool: ( fun_na1632405922l_bool * nat ) > fun_fun_a_bool_bool ).

tff(func_def_278,type,
    hAPP_n850744903l_bool: ( fun_na2122364079l_bool * nat ) > fun_fu1430349052l_bool ).

tff(func_def_279,type,
    hAPP_n609083369l_bool: ( fun_na1583160273l_bool * nat ) > fun_fu819804446l_bool ).

tff(func_def_280,type,
    hAPP_n215258509l_bool: ( fun_na1436237685l_bool * nat ) > fun_fu425979586l_bool ).

tff(func_def_281,type,
    hAPP_n1512601776t_bool: ( fun_na35521688t_bool * nat ) > fun_fu821463397t_bool ).

tff(func_def_282,type,
    hAPP_fun_a_bool_a: ( fun_fun_a_bool_a * fun_a_bool ) > x_a ).

tff(func_def_283,type,
    hAPP_fun_a_bool_bool: ( fun_fun_a_bool_bool * fun_a_bool ) > bool ).

tff(func_def_284,type,
    hAPP_fun_a_bool_nat: ( fun_fun_a_bool_nat * fun_a_bool ) > nat ).

tff(func_def_285,type,
    hAPP_f2050579477a_bool: ( fun_fu1731003005a_bool * fun_a_bool ) > fun_a_bool ).

tff(func_def_286,type,
    hAPP_f1038053735a_bool: ( fun_fu868269973a_bool * fun_a_bool ) > fun_a_fun_a_bool ).

tff(func_def_287,type,
    hAPP_f198738859l_bool: ( fun_fu554186387l_bool * fun_a_bool ) > fun_bool_bool ).

tff(func_def_288,type,
    hAPP_f1812805200t_bool: ( fun_fu859530750t_bool * fun_a_bool ) > fun_int_bool ).

tff(func_def_289,type,
    hAPP_f282463732t_bool: ( fun_fu600484770t_bool * fun_a_bool ) > fun_nat_bool ).

tff(func_def_290,type,
    hAPP_f1631501043l_bool: ( fun_fu1471507361l_bool * fun_a_bool ) > fun_fun_a_bool_bool ).

tff(func_def_291,type,
    hAPP_f1791771145a_bool: ( fun_fu1663643505a_bool * fun_a_bool ) > fun_fu1731003005a_bool ).

tff(func_def_292,type,
    hAPP_f285962445l_bool: ( fun_fu386216885l_bool * fun_a_bool ) > fun_fu885608257l_bool ).

tff(func_def_293,type,
    hAPP_f1531278575l_bool: ( fun_fu1434634199l_bool * fun_a_bool ) > fun_fu911136611l_bool ).

tff(func_def_294,type,
    hAPP_f1297739591_pname: ( fun_fu1499449723_pname * fun_pname_bool ) > pname ).

tff(func_def_295,type,
    hAPP_f1664156314l_bool: ( fun_fu1430349052l_bool * fun_pname_bool ) > bool ).

tff(func_def_296,type,
    hAPP_f921600141ol_nat: ( fun_fu1668467777ol_nat * fun_pname_bool ) > nat ).

tff(func_def_297,type,
    hAPP_f759274231e_bool: ( fun_fu410713561e_bool * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_298,type,
    hAPP_f1476298914l_bool: ( fun_fu31783638l_bool * fun_pname_bool ) > fun_bool_bool ).

tff(func_def_299,type,
    hAPP_f449020825t_bool: ( fun_fu1159356667t_bool * fun_pname_bool ) > fun_int_bool ).

tff(func_def_300,type,
    hAPP_f1066163005t_bool: ( fun_fu900310687t_bool * fun_pname_bool ) > fun_nat_bool ).

tff(func_def_301,type,
    hAPP_f434788991l_bool: ( fun_fu802393907l_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).

tff(func_def_302,type,
    hAPP_f1388330588e_bool: ( fun_fu2101097872e_bool * fun_pname_bool ) > fun_fu410713561e_bool ).

tff(func_def_303,type,
    hAPP_f556039215l_bool: ( fun_fu931343505l_bool * fun_pname_bool ) > fun_fu399576434l_bool ).

tff(func_def_304,type,
    hAPP_f1320879424l_bool: ( fun_fu1232732404l_bool * fun_pname_bool ) > fun_fu2087345469l_bool ).

tff(func_def_305,type,
    hAPP_f448129468l_bool: ( fun_fu819804446l_bool * fun_int_bool ) > bool ).

tff(func_def_306,type,
    hAPP_f1594865479ol_int: ( fun_fun_int_bool_int * fun_int_bool ) > int ).

tff(func_def_307,type,
    hAPP_f957591787ol_nat: ( fun_fun_int_bool_nat * fun_int_bool ) > nat ).

tff(func_def_308,type,
    hAPP_f1721100032l_bool: ( fun_fu989146164l_bool * fun_int_bool ) > fun_bool_bool ).

tff(func_def_309,type,
    hAPP_f1805168059t_bool: ( fun_fu554825757t_bool * fun_int_bool ) > fun_int_bool ).

tff(func_def_310,type,
    hAPP_f1048215610t_bool: ( fun_fu380257692t_bool * fun_int_bool ) > fun_int_fun_int_bool ).

tff(func_def_311,type,
    hAPP_f274826591t_bool: ( fun_fu295779777t_bool * fun_int_bool ) > fun_nat_bool ).

tff(func_def_312,type,
    hAPP_f284875647l_bool: ( fun_fu1151772339l_bool * fun_int_bool ) > fun_fu819804446l_bool ).

tff(func_def_313,type,
    hAPP_f1223193598t_bool: ( fun_fu1075512626t_bool * fun_int_bool ) > fun_fu554825757t_bool ).

tff(func_def_314,type,
    hAPP_f628503027l_bool: ( fun_fu1637550549l_bool * fun_int_bool ) > fun_fu1540142484l_bool ).

tff(func_def_315,type,
    hAPP_f587666462l_bool: ( fun_fu587680722l_bool * fun_int_bool ) > fun_fu1070826941l_bool ).

tff(func_def_316,type,
    hAPP_f54304608l_bool: ( fun_fu425979586l_bool * fun_nat_bool ) > bool ).

tff(func_def_317,type,
    hAPP_f22106695ol_nat: ( fun_fun_nat_bool_nat * fun_nat_bool ) > nat ).

tff(func_def_318,type,
    hAPP_f1748468828l_bool: ( fun_fu1016514960l_bool * fun_nat_bool ) > fun_bool_bool ).

tff(func_def_319,type,
    hAPP_f183368031t_bool: ( fun_fu1080509377t_bool * fun_nat_bool ) > fun_int_bool ).

tff(func_def_320,type,
    hAPP_f800510211t_bool: ( fun_fu821463397t_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_321,type,
    hAPP_f1570313510t_bool: ( fun_fu429110920t_bool * fun_nat_bool ) > fun_nat_fun_nat_bool ).

tff(func_def_322,type,
    hAPP_f103356543l_bool: ( fun_fu1217155507l_bool * fun_nat_bool ) > fun_fu425979586l_bool ).

tff(func_def_323,type,
    hAPP_f1730770594t_bool: ( fun_fu915923926t_bool * fun_nat_bool ) > fun_fu821463397t_bool ).

tff(func_def_324,type,
    hAPP_f1951378235l_bool: ( fun_fu1436348701l_bool * fun_nat_bool ) > fun_fu814369080l_bool ).

tff(func_def_325,type,
    hAPP_f633452666l_bool: ( fun_fu1516990510l_bool * fun_nat_bool ) > fun_fu616551101l_bool ).

tff(func_def_326,type,
    hAPP_f621171935l_bool: ( fun_fu885608257l_bool * fun_fun_a_bool_bool ) > bool ).

tff(func_def_327,type,
    hAPP_f2009550088ol_nat: ( fun_fu2020802748ol_nat * fun_fun_a_bool_bool ) > nat ).

tff(func_def_328,type,
    hAPP_f2117159681l_bool: ( fun_fu911136611l_bool * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).

tff(func_def_329,type,
    hAPP_f1434722111l_bool: ( fun_fu418465139l_bool * fun_fun_a_bool_bool ) > fun_fu885608257l_bool ).

tff(func_def_330,type,
    hAPP_f1935102916l_bool: ( fun_fu399576434l_bool * fun_fu1430349052l_bool ) > bool ).

tff(func_def_331,type,
    hAPP_f55526627ol_nat: ( fun_fu1730389579ol_nat * fun_fu1430349052l_bool ) > nat ).

tff(func_def_332,type,
    hAPP_f559147733l_bool: ( fun_fu2087345469l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).

tff(func_def_333,type,
    hAPP_f510955609l_bool: ( fun_fu1911931399l_bool * fun_fu1430349052l_bool ) > fun_fu399576434l_bool ).

tff(func_def_334,type,
    hAPP_f215623910l_bool: ( fun_fu1540142484l_bool * fun_fu819804446l_bool ) > bool ).

tff(func_def_335,type,
    hAPP_f521865025ol_nat: ( fun_fu236049833ol_nat * fun_fu819804446l_bool ) > nat ).

tff(func_def_336,type,
    hAPP_f1948010709l_bool: ( fun_fu1070826941l_bool * fun_fu819804446l_bool ) > fun_fu819804446l_bool ).

tff(func_def_337,type,
    hAPP_f317860125l_bool: ( fun_fu209342027l_bool * fun_fu819804446l_bool ) > fun_fu1540142484l_bool ).

tff(func_def_338,type,
    hAPP_f1637334154l_bool: ( fun_fu814369080l_bool * fun_fu425979586l_bool ) > bool ).

tff(func_def_339,type,
    hAPP_f696928925ol_nat: ( fun_fu411113733ol_nat * fun_fu425979586l_bool ) > nat ).

tff(func_def_340,type,
    hAPP_f1246832597l_bool: ( fun_fu616551101l_bool * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).

tff(func_def_341,type,
    hAPP_f1772781669l_bool: ( fun_fu140186515l_bool * fun_fu425979586l_bool ) > fun_fu814369080l_bool ).

tff(func_def_342,type,
    hAPP_f292226953l_bool: ( fun_fu255076663l_bool * fun_fu885608257l_bool ) > bool ).

tff(func_def_343,type,
    hAPP_f389811538l_bool: ( fun_fu1438281908l_bool * fun_fu399576434l_bool ) > bool ).

tff(func_def_344,type,
    hAPP_f1593524852l_bool: ( fun_fu717296342l_bool * fun_fu1540142484l_bool ) > bool ).

tff(func_def_345,type,
    hAPP_f937997336l_bool: ( fun_fu61768826l_bool * fun_fu814369080l_bool ) > bool ).

tff(func_def_346,type,
    member_a: fun_a_1255737515l_bool ).

tff(func_def_347,type,
    member_pname: fun_pn422929397l_bool ).

tff(func_def_348,type,
    member_int: fun_in938817141l_bool ).

tff(func_def_349,type,
    member_nat: fun_na1436237685l_bool ).

tff(func_def_350,type,
    member_fun_a_bool: fun_fu386216885l_bool ).

tff(func_def_351,type,
    member799430823e_bool: fun_fu931343505l_bool ).

tff(func_def_352,type,
    member_fun_int_bool: fun_fu1637550549l_bool ).

tff(func_def_353,type,
    member_fun_nat_bool: fun_fu1436348701l_bool ).

tff(func_def_354,type,
    g: fun_a_bool ).

tff(func_def_355,type,
    p: fun_a_bool > fun_fun_a_bool_bool ).

tff(func_def_356,type,
    u: fun_pname_bool ).

tff(func_def_357,type,
    mgt: com > x_a ).

tff(func_def_358,type,
    mgt_call: fun_pname_a ).

tff(func_def_359,type,
    na: nat ).

tff(func_def_360,type,
    pn: pname ).

tff(func_def_361,type,
    wt: com > bool ).

tff(func_def_362,type,
    sK0: ( fun_pname_bool * fun_pname_a * fun_a_bool ) > fun_pname_bool ).

tff(func_def_363,type,
    sK1: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_364,type,
    sK2: ( fun_a_bool * fun_fun_a_bool_bool ) > fun_a_bool ).

tff(func_def_365,type,
    sK3: ( fun_a_bool * fun_fun_a_bool_bool ) > x_a ).

tff(func_def_366,type,
    sK4: ( fun_pname_bool * fun_pname_a * fun_a_bool ) > fun_pname_bool ).

tff(func_def_367,type,
    sK5: ( fun_pname_bool * x_a * fun_pname_a ) > pname ).

tff(func_def_368,type,
    sK6: fun_nat_nat > nat ).

tff(func_def_369,type,
    sK7: fun_a_bool > pname ).

tff(func_def_370,type,
    sK8: fun_fun_a_bool_bool > x_a ).

tff(func_def_371,type,
    sK9: fun_fun_a_bool_bool > x_a ).

tff(func_def_372,type,
    sK10: fun_fun_a_bool_bool > fun_a_bool ).

tff(func_def_373,type,
    sK11: fun_nat_bool > nat ).

tff(func_def_374,type,
    sK12: fun_a_bool > x_a ).

tff(func_def_375,type,
    sK13: fun_a_bool > fun_a_bool ).

tff(func_def_376,type,
    sK14: fun_a_bool > x_a ).

tff(func_def_377,type,
    sK15: nat > nat ).

tff(func_def_378,type,
    sK16: fun_fun_a_bool_bool > x_a ).

tff(func_def_379,type,
    sK17: fun_fun_a_bool_bool > fun_a_bool ).

tff(func_def_380,type,
    sK18: ( fun_pname_a * fun_pname_bool * x_a ) > pname ).

tff(func_def_381,type,
    sK19: fun_a_bool > x_a ).

tff(func_def_382,type,
    sK20: ( fun_a_bool * fun_a_bool ) > x_a ).

tff(func_def_383,type,
    sK21: ( nat * fun_nat_bool * nat ) > nat ).

tff(func_def_384,type,
    sK22: ( fun_pname_a * fun_a_bool * fun_pname_bool ) > pname ).

tff(pred_def_1,type,
    hBOOL: bool > $o ).

tff(f2447,plain,
    $false,
    inference(subsumption_resolution,[],[f2444,f2205]) ).

tff(f2205,plain,
    ! [X0: fun_pname_a] : hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X0,pn)),image_pname_a(X0,u))),
    inference(unit_resulting_resolution,[],[f1901,f2110]) ).

tff(f2110,plain,
    ! [X0: fun_pname_a,X1: fun_pname_bool,X4: pname] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X0,X4)),image_pname_a(X0,X1)))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X1)) ),
    inference(equality_resolution,[],[f2037]) ).

tff(f2037,plain,
    ! [X2: x_a,X0: fun_pname_a,X1: fun_pname_bool,X4: pname] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),image_pname_a(X0,X1)))
      | ( hAPP_pname_a(X0,X4) != X2 )
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X1)) ),
    inference(cnf_transformation,[],[f1796]) ).

tff(f1796,plain,
    ! [X0: fun_pname_a,X1: fun_pname_bool,X2: x_a] :
      ( ( ( ( hAPP_pname_a(X0,sK18(X0,X1,X2)) = X2 )
          & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK18(X0,X1,X2)),X1)) )
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),image_pname_a(X0,X1))) )
      & ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),image_pname_a(X0,X1)))
        | ! [X4: pname] :
            ( ( hAPP_pname_a(X0,X4) != X2 )
            | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X1)) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f1794,f1795]) ).

tff(f1795,plain,
    ! [X0: fun_pname_a,X1: fun_pname_bool,X2: x_a] :
      ( ? [X3: pname] :
          ( ( hAPP_pname_a(X0,X3) = X2 )
          & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1)) )
     => ( ( hAPP_pname_a(X0,sK18(X0,X1,X2)) = X2 )
        & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK18(X0,X1,X2)),X1)) ) ),
    introduced(choice_axiom,[]) ).

tff(f1794,plain,
    ! [X0: fun_pname_a,X1: fun_pname_bool,X2: x_a] :
      ( ( ? [X3: pname] :
            ( ( hAPP_pname_a(X0,X3) = X2 )
            & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1)) )
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),image_pname_a(X0,X1))) )
      & ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),image_pname_a(X0,X1)))
        | ! [X4: pname] :
            ( ( hAPP_pname_a(X0,X4) != X2 )
            | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X1)) ) ) ),
    inference(rectify,[],[f1793]) ).

tff(f1793,plain,
    ! [X2: fun_pname_a,X1: fun_pname_bool,X0: x_a] :
      ( ( ? [X3: pname] :
            ( ( hAPP_pname_a(X2,X3) = X0 )
            & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1)) )
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(X2,X1))) )
      & ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(X2,X1)))
        | ! [X3: pname] :
            ( ( hAPP_pname_a(X2,X3) != X0 )
            | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1)) ) ) ),
    inference(nnf_transformation,[],[f1414]) ).

tff(f1414,plain,
    ! [X2: fun_pname_a,X1: fun_pname_bool,X0: x_a] :
      ( ? [X3: pname] :
          ( ( hAPP_pname_a(X2,X3) = X0 )
          & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1)) )
    <=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(X2,X1))) ),
    inference(rectify,[],[f433]) ).

tff(f433,axiom,
    ! [X53: x_a,X2: fun_pname_bool,X6: fun_pname_a] :
      ( ? [X27: pname] :
          ( ( hAPP_pname_a(X6,X27) = X53 )
          & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X27),X2)) )
    <=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X53),image_pname_a(X6,X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_432_image__iff) ).

tff(f1901,plain,
    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
    inference(cnf_transformation,[],[f1307]) ).

tff(f1307,axiom,
    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).

tff(f2444,plain,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),image_pname_a(mgt_call,u))),
    inference(unit_resulting_resolution,[],[f1960,f2016,f2033]) ).

tff(f2033,plain,
    ! [X2: x_a,X0: fun_a_bool,X1: fun_a_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X2),X1)),X0))
      | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X0))
      | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0)) ),
    inference(cnf_transformation,[],[f1792]) ).

tff(f1792,plain,
    ! [X0: fun_a_bool,X1: fun_a_bool,X2: x_a] :
      ( ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0))
          & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X0)) )
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X2),X1)),X0)) )
      & ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X2),X1)),X0))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X0)) ) ),
    inference(rectify,[],[f1791]) ).

tff(f1791,plain,
    ! [X2: fun_a_bool,X1: fun_a_bool,X0: x_a] :
      ( ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
          & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) )
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X0),X1)),X2)) )
      & ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X0),X1)),X2))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) ) ),
    inference(flattening,[],[f1790]) ).

tff(f1790,plain,
    ! [X2: fun_a_bool,X1: fun_a_bool,X0: x_a] :
      ( ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
          & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) )
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X0),X1)),X2)) )
      & ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X0),X1)),X2))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) ) ),
    inference(nnf_transformation,[],[f1457]) ).

tff(f1457,plain,
    ! [X2: fun_a_bool,X1: fun_a_bool,X0: x_a] :
      ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
        & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) )
    <=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X0),X1)),X2)) ),
    inference(rectify,[],[f454]) ).

tff(f454,axiom,
    ! [X8: x_a,X2: fun_a_bool,X7: fun_a_bool] :
      ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X7))
        & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X8),X7)) )
    <=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X8),X2)),X7)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_453_insert__subset) ).

tff(f2016,plain,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
    inference(cnf_transformation,[],[f1304]) ).

tff(f1304,axiom,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

tff(f1960,plain,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
    inference(cnf_transformation,[],[f1311]) ).

tff(f1311,plain,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
    inference(flattening,[],[f1310]) ).

tff(f1310,negated_conjecture,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
    inference(negated_conjecture,[],[f1309]) ).

tff(f1309,conjecture,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07  % Problem    : SWW473_3 : TPTP v8.1.0. Released v5.3.0.
% 0.04/0.07  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.06/0.26  % Computer : n027.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit   : 300
% 0.06/0.26  % WCLimit    : 300
% 0.06/0.26  % DateTime   : Tue Aug 30 20:58:16 EDT 2022
% 0.06/0.26  % CPUTime    : 
% 0.10/0.41  % (2639)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.10/0.41  % (2638)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.41  % (2639)Instruction limit reached!
% 0.10/0.41  % (2639)------------------------------
% 0.10/0.41  % (2639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.41  % (2639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.41  % (2639)Termination reason: Unknown
% 0.10/0.41  % (2639)Termination phase: Preprocessing 1
% 0.10/0.41  
% 0.10/0.41  % (2639)Memory used [KB]: 3198
% 0.10/0.41  % (2639)Time elapsed: 0.005 s
% 0.10/0.41  % (2639)Instructions burned: 3 (million)
% 0.10/0.41  % (2639)------------------------------
% 0.10/0.41  % (2639)------------------------------
% 0.10/0.41  % (2648)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.10/0.42  % (2640)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.10/0.42  % (2640)Instruction limit reached!
% 0.10/0.42  % (2640)------------------------------
% 0.10/0.42  % (2640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.42  % (2640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.42  % (2640)Termination reason: Unknown
% 0.10/0.42  % (2640)Termination phase: Preprocessing 1
% 0.10/0.42  
% 0.10/0.42  % (2640)Memory used [KB]: 3582
% 0.10/0.42  % (2640)Time elapsed: 0.005 s
% 0.10/0.42  % (2640)Instructions burned: 8 (million)
% 0.10/0.42  % (2640)------------------------------
% 0.10/0.42  % (2640)------------------------------
% 0.10/0.43  % (2625)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.10/0.43  % (2630)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.10/0.43  % (2631)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.10/0.44  % (2632)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.10/0.44  % (2627)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.10/0.44  % (2628)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.44  % (2629)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.10/0.44  % (2627)Instruction limit reached!
% 0.10/0.44  % (2627)------------------------------
% 0.10/0.44  % (2627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.44  % (2627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.44  % (2627)Termination reason: Unknown
% 0.10/0.44  % (2627)Termination phase: Preprocessing 1
% 0.10/0.44  
% 0.10/0.44  % (2627)Memory used [KB]: 3326
% 0.10/0.44  % (2627)Time elapsed: 0.006 s
% 0.10/0.44  % (2627)Instructions burned: 4 (million)
% 0.10/0.44  % (2627)------------------------------
% 0.10/0.44  % (2627)------------------------------
% 0.10/0.45  % (2626)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.10/0.45  % (2646)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.10/0.45  % (2650)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.10/0.45  % (2642)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.10/0.46  % (2630)Instruction limit reached!
% 0.10/0.46  % (2630)------------------------------
% 0.10/0.46  % (2630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.46  % (2630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.46  % (2630)Termination reason: Unknown
% 0.10/0.46  % (2630)Termination phase: Preprocessing 1
% 0.10/0.46  
% 0.10/0.46  % (2630)Memory used [KB]: 3709
% 0.10/0.46  % (2630)Time elapsed: 0.013 s
% 0.10/0.46  % (2630)Instructions burned: 16 (million)
% 0.10/0.46  % (2630)------------------------------
% 0.10/0.46  % (2630)------------------------------
% 0.10/0.46  % (2654)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.10/0.46  % (2652)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.10/0.46  % (2647)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.10/0.46  % (2643)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.10/0.46  % (2643)Instruction limit reached!
% 0.10/0.46  % (2643)------------------------------
% 0.10/0.46  % (2643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.46  % (2643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.46  % (2643)Termination reason: Unknown
% 0.10/0.46  % (2643)Termination phase: shuffling
% 0.10/0.46  
% 0.10/0.46  % (2643)Memory used [KB]: 3070
% 0.10/0.46  % (2643)Time elapsed: 0.002 s
% 0.10/0.46  % (2643)Instructions burned: 2 (million)
% 0.10/0.46  % (2643)------------------------------
% 0.10/0.46  % (2643)------------------------------
% 0.10/0.46  % (2649)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.10/0.46  % (2644)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.10/0.47  % (2635)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.10/0.47  % (2629)Instruction limit reached!
% 0.10/0.47  % (2629)------------------------------
% 0.10/0.47  % (2629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.47  % (2629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.47  % (2629)Termination reason: Unknown
% 0.10/0.47  % (2629)Termination phase: Preprocessing 1
% 0.10/0.47  
% 0.10/0.47  % (2629)Memory used [KB]: 3454
% 0.10/0.47  % (2629)Time elapsed: 0.011 s
% 0.10/0.47  % (2629)Instructions burned: 14 (million)
% 0.10/0.47  % (2629)------------------------------
% 0.10/0.47  % (2629)------------------------------
% 0.10/0.47  % (2633)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.10/0.47  % (2641)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.10/0.47  % (2626)Instruction limit reached!
% 0.10/0.47  % (2626)------------------------------
% 0.10/0.47  % (2626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.47  % (2651)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.10/0.47  % (2634)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.10/0.47  % (2644)Instruction limit reached!
% 0.10/0.47  % (2644)------------------------------
% 0.10/0.47  % (2644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.47  % (2636)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.10/0.47  % (2642)Instruction limit reached!
% 0.10/0.47  % (2642)------------------------------
% 0.10/0.47  % (2642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.47  % (2642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.47  % (2642)Termination reason: Unknown
% 0.10/0.47  % (2642)Termination phase: Preprocessing 1
% 0.10/0.47  
% 0.10/0.47  % (2642)Memory used [KB]: 3326
% 0.10/0.47  % (2642)Time elapsed: 0.004 s
% 0.10/0.47  % (2642)Instructions burned: 4 (million)
% 0.10/0.47  % (2642)------------------------------
% 0.10/0.47  % (2642)------------------------------
% 0.10/0.47  % (2648)Instruction limit reached!
% 0.10/0.47  % (2648)------------------------------
% 0.10/0.47  % (2648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.48  % (2637)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.10/0.48  % (2653)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.10/0.48  % (2645)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.10/0.48  % (2636)Instruction limit reached!
% 0.10/0.48  % (2636)------------------------------
% 0.10/0.48  % (2636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.48  % (2636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.48  % (2636)Termination reason: Unknown
% 0.10/0.48  % (2636)Termination phase: SInE selection
% 0.10/0.48  
% 0.10/0.48  % (2635)Instruction limit reached!
% 0.10/0.48  % (2635)------------------------------
% 0.10/0.48  % (2635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.48  % (2636)Memory used [KB]: 3326
% 0.10/0.48  % (2635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.48  % (2636)Time elapsed: 0.008 s
% 0.10/0.48  % (2635)Termination reason: Unknown
% 0.10/0.48  % (2636)Instructions burned: 7 (million)
% 0.10/0.48  % (2635)Termination phase: Preprocessing 1
% 0.10/0.48  
% 0.10/0.48  % (2636)------------------------------
% 0.10/0.48  % (2636)------------------------------
% 0.10/0.48  % (2635)Memory used [KB]: 3454
% 0.10/0.48  % (2635)Time elapsed: 0.009 s
% 0.10/0.48  % (2635)Instructions burned: 12 (million)
% 0.10/0.48  % (2635)------------------------------
% 0.10/0.48  % (2635)------------------------------
% 0.10/0.48  % (2644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.48  % (2644)Termination reason: Unknown
% 0.10/0.48  % (2644)Termination phase: SInE selection
% 0.10/0.48  
% 0.10/0.48  % (2644)Memory used [KB]: 3326
% 0.10/0.48  % (2644)Time elapsed: 0.011 s
% 0.10/0.48  % (2644)Instructions burned: 12 (million)
% 0.10/0.48  % (2644)------------------------------
% 0.10/0.48  % (2644)------------------------------
% 0.10/0.49  % (2653)Instruction limit reached!
% 0.10/0.49  % (2653)------------------------------
% 0.10/0.49  % (2653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.49  % (2653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.49  % (2653)Termination reason: Unknown
% 0.10/0.49  % (2653)Termination phase: Preprocessing 1
% 0.10/0.49  
% 0.10/0.49  % (2653)Memory used [KB]: 3582
% 0.10/0.49  % (2653)Time elapsed: 0.012 s
% 0.10/0.49  % (2653)Instructions burned: 8 (million)
% 0.10/0.49  % (2653)------------------------------
% 0.10/0.49  % (2653)------------------------------
% 0.10/0.49  % (2626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.49  % (2626)Termination reason: Unknown
% 0.10/0.49  % (2626)Termination phase: Preprocessing 3
% 0.10/0.49  
% 0.10/0.49  % (2626)Memory used [KB]: 3454
% 0.10/0.49  % (2626)Time elapsed: 0.012 s
% 0.10/0.49  % (2626)Instructions burned: 15 (million)
% 0.10/0.49  % (2626)------------------------------
% 0.10/0.49  % (2626)------------------------------
% 0.10/0.49  % (2652)Instruction limit reached!
% 0.10/0.49  % (2652)------------------------------
% 0.10/0.49  % (2652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.49  % (2652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.49  % (2652)Termination reason: Unknown
% 0.10/0.49  % (2652)Termination phase: Preprocessing 1
% 0.10/0.49  
% 0.10/0.49  % (2652)Memory used [KB]: 3837
% 0.10/0.49  % (2652)Time elapsed: 0.017 s
% 0.10/0.49  % (2652)Instructions burned: 26 (million)
% 0.10/0.49  % (2652)------------------------------
% 0.10/0.49  % (2652)------------------------------
% 0.10/0.50  % (2648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.50  % (2648)Termination reason: Unknown
% 0.10/0.50  % (2648)Termination phase: Preprocessing 3
% 0.10/0.50  
% 0.10/0.50  % (2648)Memory used [KB]: 5500
% 0.10/0.50  % (2648)Time elapsed: 0.028 s
% 0.10/0.50  % (2648)Instructions burned: 45 (million)
% 0.10/0.50  % (2648)------------------------------
% 0.10/0.50  % (2648)------------------------------
% 0.10/0.50  % (2654)Instruction limit reached!
% 0.10/0.50  % (2654)------------------------------
% 0.10/0.50  % (2654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.50  % (2654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.50  % (2654)Termination reason: Unknown
% 0.10/0.50  % (2654)Termination phase: Preprocessing 1
% 0.10/0.50  
% 0.10/0.50  % (2654)Memory used [KB]: 3837
% 0.10/0.50  % (2654)Time elapsed: 0.015 s
% 0.10/0.50  % (2654)Instructions burned: 25 (million)
% 0.10/0.50  % (2654)------------------------------
% 0.10/0.50  % (2654)------------------------------
% 0.10/0.50  % (2638)Instruction limit reached!
% 0.10/0.50  % (2638)------------------------------
% 0.10/0.50  % (2638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.50  % (2638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.50  % (2638)Termination reason: Unknown
% 0.10/0.50  % (2638)Termination phase: Property scanning
% 0.10/0.50  
% 0.10/0.50  % (2638)Memory used [KB]: 4349
% 0.10/0.50  % (2638)Time elapsed: 0.038 s
% 0.10/0.50  % (2638)Instructions burned: 53 (million)
% 0.10/0.50  % (2638)------------------------------
% 0.10/0.50  % (2638)------------------------------
% 0.10/0.50  % (2631)Instruction limit reached!
% 0.10/0.50  % (2631)------------------------------
% 0.10/0.50  % (2631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.50  % (2631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.50  % (2631)Termination reason: Unknown
% 0.10/0.50  % (2631)Termination phase: Property scanning
% 0.10/0.50  
% 0.10/0.50  % (2631)Memory used [KB]: 4221
% 0.10/0.50  % (2631)Time elapsed: 0.029 s
% 0.10/0.50  % (2631)Instructions burned: 41 (million)
% 0.10/0.50  % (2631)------------------------------
% 0.10/0.50  % (2631)------------------------------
% 0.10/0.50  % (2632)Instruction limit reached!
% 0.10/0.50  % (2632)------------------------------
% 0.10/0.50  % (2632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.50  % (2632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.50  % (2632)Termination reason: Unknown
% 0.10/0.50  % (2632)Termination phase: Preprocessing 3
% 0.10/0.50  
% 0.10/0.51  % (2637)Instruction limit reached!
% 0.10/0.51  % (2637)------------------------------
% 0.10/0.51  % (2637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.51  % (2637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.51  % (2637)Termination reason: Unknown
% 0.10/0.51  % (2637)Termination phase: Preprocessing 1
% 0.10/0.51  
% 0.10/0.51  % (2637)Memory used [KB]: 3582
% 0.10/0.51  % (2637)Time elapsed: 0.012 s
% 0.10/0.51  % (2637)Instructions burned: 16 (million)
% 0.10/0.51  % (2637)------------------------------
% 0.10/0.51  % (2637)------------------------------
% 0.10/0.52  % (2632)Memory used [KB]: 5245
% 0.10/0.52  % (2632)Time elapsed: 0.026 s
% 0.10/0.52  % (2632)Instructions burned: 40 (million)
% 0.10/0.52  % (2632)------------------------------
% 0.10/0.52  % (2632)------------------------------
% 0.10/0.52  % (2628)First to succeed.
% 0.10/0.52  % (2634)Instruction limit reached!
% 0.10/0.52  % (2634)------------------------------
% 0.10/0.52  % (2634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.52  % (2628)Refutation found. Thanks to Tanya!
% 0.10/0.52  % SZS status Theorem for theBenchmark
% 0.10/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.53  % (2628)------------------------------
% 0.10/0.53  % (2628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.53  % (2628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.53  % (2628)Termination reason: Refutation
% 0.10/0.53  
% 0.10/0.53  % (2628)Memory used [KB]: 8699
% 0.10/0.53  % (2628)Time elapsed: 0.161 s
% 0.10/0.53  % (2628)Instructions burned: 47 (million)
% 0.10/0.53  % (2628)------------------------------
% 0.10/0.53  % (2628)------------------------------
% 0.10/0.53  % (2624)Success in time 0.248 s
%------------------------------------------------------------------------------