TSTP Solution File: SWW473_1 by SnakeForV---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWW473_1 : 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 : n023.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 19:07:02 EDT 2022

% Result   : Theorem 0.19s 0.57s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  320
% Syntax   : Number of formulae    :  338 (  11 unt; 315 typ;   0 def)
%            Number of atoms       :   52 (   6 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   50 (  21   ~;  17   |;   6   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :   91 (  90 usr)
%            Number of type conns  :  312 ( 172   >; 140   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :  224 ( 224 usr;  53 con; 0-3 aty)
%            Number of variables   :   43 (  43   !;   0   ?;  43   :)

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_16,type,
    fun_a_1255737515l_bool: $tType ).

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

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

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

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

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

tff(type_def_22,type,
    fun_pn800050071e_bool: $tType ).

tff(type_def_23,type,
    fun_pn250273176l_bool: $tType ).

tff(type_def_24,type,
    fun_pn406123357t_bool: $tType ).

tff(type_def_25,type,
    fun_pn1038293468l_bool: $tType ).

tff(type_def_26,type,
    fun_pn422929397l_bool: $tType ).

tff(type_def_27,type,
    fun_pn1165013435l_bool: $tType ).

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

tff(type_def_29,type,
    fun_bo1549164019l_bool: $tType ).

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

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

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

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

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

tff(type_def_35,type,
    fun_na936072029e_bool: $tType ).

tff(type_def_36,type,
    fun_na1469252690l_bool: $tType ).

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

tff(type_def_38,type,
    fun_na1632405922l_bool: $tType ).

tff(type_def_39,type,
    fun_na2122364079l_bool: $tType ).

tff(type_def_40,type,
    fun_na1436237685l_bool: $tType ).

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

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

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

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

tff(type_def_45,type,
    fun_fu1731003005a_bool: $tType ).

tff(type_def_46,type,
    fun_fu554186387l_bool: $tType ).

tff(type_def_47,type,
    fun_fu1471507361l_bool: $tType ).

tff(type_def_48,type,
    fun_fu386216885l_bool: $tType ).

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

tff(type_def_50,type,
    fun_fu1499449723_pname: $tType ).

tff(type_def_51,type,
    fun_fu1430349052l_bool: $tType ).

tff(type_def_52,type,
    fun_fu1668467777ol_nat: $tType ).

tff(type_def_53,type,
    fun_fu410713561e_bool: $tType ).

tff(type_def_54,type,
    fun_fu31783638l_bool: $tType ).

tff(type_def_55,type,
    fun_fu802393907l_bool: $tType ).

tff(type_def_56,type,
    fun_fu931343505l_bool: $tType ).

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

tff(type_def_58,type,
    fun_fu665170229_pname: $tType ).

tff(type_def_59,type,
    fun_fu425979586l_bool: $tType ).

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

tff(type_def_61,type,
    fun_fu1016514960l_bool: $tType ).

tff(type_def_62,type,
    fun_fu821463397t_bool: $tType ).

tff(type_def_63,type,
    fun_fu1217155507l_bool: $tType ).

tff(type_def_64,type,
    fun_fu1436348701l_bool: $tType ).

tff(type_def_65,type,
    fun_fu1373417771bool_a: $tType ).

tff(type_def_66,type,
    fun_fu1175941238_pname: $tType ).

tff(type_def_67,type,
    fun_fu885608257l_bool: $tType ).

tff(type_def_68,type,
    fun_fu2020802748ol_nat: $tType ).

tff(type_def_69,type,
    fun_fu911136611l_bool: $tType ).

tff(type_def_70,type,
    fun_fu418465139l_bool: $tType ).

tff(type_def_71,type,
    fun_fu2061654492bool_a: $tType ).

tff(type_def_72,type,
    fun_fu1664106117_pname: $tType ).

tff(type_def_73,type,
    fun_fu399576434l_bool: $tType ).

tff(type_def_74,type,
    fun_fu1730389579ol_nat: $tType ).

tff(type_def_75,type,
    fun_fu2087345469l_bool: $tType ).

tff(type_def_76,type,
    fun_fu1911931399l_bool: $tType ).

tff(type_def_77,type,
    fun_fu897950882bool_a: $tType ).

tff(type_def_78,type,
    fun_fu881587263_pname: $tType ).

tff(type_def_79,type,
    fun_fu814369080l_bool: $tType ).

tff(type_def_80,type,
    fun_fu411113733ol_nat: $tType ).

tff(type_def_81,type,
    fun_fu616551101l_bool: $tType ).

tff(type_def_82,type,
    fun_fu140186515l_bool: $tType ).

tff(type_def_83,type,
    fun_fu255076663l_bool: $tType ).

tff(type_def_84,type,
    fun_fu48515398ol_nat: $tType ).

tff(type_def_85,type,
    fun_fu821736593l_bool: $tType ).

tff(type_def_86,type,
    fun_fu1438281908l_bool: $tType ).

tff(type_def_87,type,
    fun_fu1701008009ol_nat: $tType ).

tff(type_def_88,type,
    fun_fu1086940979l_bool: $tType ).

tff(type_def_89,type,
    fun_fu61768826l_bool: $tType ).

tff(type_def_90,type,
    fun_fu1297083715ol_nat: $tType ).

tff(type_def_91,type,
    fun_fu1137991347l_bool: $tType ).

tff(type_def_92,type,
    fun_fu754241017l_bool: $tType ).

tff(type_def_93,type,
    fun_fu2065874474l_bool: $tType ).

tff(type_def_94,type,
    fun_fu1971389424l_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_bool_bool_a: ( fun_bool_bool * fun_a_bool ) > fun_a_bool ).

tff(func_def_2,type,
    cOMBB_647938656_pname: ( fun_bool_bool * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_3,type,
    cOMBB_bool_bool_nat: ( fun_bool_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_4,type,
    cOMBB_2140588453a_bool: ( fun_bool_bool * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).

tff(func_def_5,type,
    cOMBB_307249310e_bool: ( fun_bool_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).

tff(func_def_6,type,
    cOMBB_238756964t_bool: ( fun_bool_bool * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).

tff(func_def_7,type,
    cOMBB_1972296269bool_a: ( fun_bo1549164019l_bool * fun_a_bool ) > fun_a_fun_bool_bool ).

tff(func_def_8,type,
    cOMBB_675860798_pname: ( fun_bo1549164019l_bool * fun_pname_bool ) > fun_pn250273176l_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_444170502t_bool: ( fun_bo1549164019l_bool * fun_fu425979586l_bool ) > fun_fu1016514960l_bool ).

tff(func_def_13,type,
    cOMBC_a_a_bool: fun_a_fun_a_bool > fun_a_fun_a_bool ).

tff(func_def_14,type,
    cOMBC_1355376034l_bool: fun_a_1255737515l_bool > fun_fu1731003005a_bool ).

tff(func_def_15,type,
    cOMBC_pname_a_bool: fun_pname_fun_a_bool > fun_a_fun_pname_bool ).

tff(func_def_16,type,
    cOMBC_1149511130e_bool: fun_pn800050071e_bool > fun_pn800050071e_bool ).

tff(func_def_17,type,
    cOMBC_1058051404l_bool: fun_pn422929397l_bool > fun_fu410713561e_bool ).

tff(func_def_18,type,
    cOMBC_nat_nat_bool: fun_nat_fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_19,type,
    cOMBC_226598744l_bool: fun_na1436237685l_bool > fun_fu821463397t_bool ).

tff(func_def_20,type,
    cOMBC_1732670874l_bool: fun_fu1471507361l_bool > fun_fu1471507361l_bool ).

tff(func_def_21,type,
    cOMBC_1880041174l_bool: fun_fu386216885l_bool > fun_fu911136611l_bool ).

tff(func_def_22,type,
    cOMBC_1284144636l_bool: fun_fu802393907l_bool > fun_fu802393907l_bool ).

tff(func_def_23,type,
    cOMBC_1988546018l_bool: fun_fu931343505l_bool > fun_fu2087345469l_bool ).

tff(func_def_24,type,
    cOMBC_1693257480l_bool: fun_fu1217155507l_bool > fun_fu1217155507l_bool ).

tff(func_def_25,type,
    cOMBC_1245412066l_bool: fun_fu1436348701l_bool > fun_fu616551101l_bool ).

tff(func_def_26,type,
    cOMBC_331553030l_bool: fun_fu418465139l_bool > fun_fu418465139l_bool ).

tff(func_def_27,type,
    cOMBC_7971162l_bool: fun_fu1911931399l_bool > fun_fu1911931399l_bool ).

tff(func_def_28,type,
    cOMBC_595898202l_bool: fun_fu140186515l_bool > fun_fu140186515l_bool ).

tff(func_def_29,type,
    cOMBC_636888218l_bool: fun_fu821736593l_bool > fun_fu821736593l_bool ).

tff(func_def_30,type,
    cOMBC_336095980l_bool: fun_fu1086940979l_bool > fun_fu1086940979l_bool ).

tff(func_def_31,type,
    cOMBC_1269652216l_bool: fun_fu1137991347l_bool > fun_fu1137991347l_bool ).

tff(func_def_32,type,
    cOMBS_a_bool_bool: ( fun_a_fun_bool_bool * fun_a_bool ) > fun_a_bool ).

tff(func_def_33,type,
    cOMBS_568398431l_bool: ( fun_pn250273176l_bool * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_34,type,
    cOMBS_nat_bool_bool: ( fun_na1469252690l_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_35,type,
    cOMBS_1035972772l_bool: ( fun_fu554186387l_bool * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).

tff(func_def_36,type,
    cOMBS_350070575l_bool: ( fun_fu31783638l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).

tff(func_def_37,type,
    cOMBS_1187019125l_bool: ( fun_fu1016514960l_bool * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).

tff(func_def_38,type,
    finite_card_a: fun_fun_a_bool_nat ).

tff(func_def_39,type,
    finite_card_pname: fun_fu1668467777ol_nat ).

tff(func_def_40,type,
    finite_card_nat: fun_fun_nat_bool_nat ).

tff(func_def_41,type,
    finite1306199131a_bool: fun_fu2020802748ol_nat ).

tff(func_def_42,type,
    finite1340463720e_bool: fun_fu1730389579ol_nat ).

tff(func_def_43,type,
    finite346522414t_bool: fun_fu411113733ol_nat ).

tff(func_def_44,type,
    finite1659325229l_bool: fun_fu48515398ol_nat ).

tff(func_def_45,type,
    finite269641166l_bool: fun_fu1701008009ol_nat ).

tff(func_def_46,type,
    finite1352710292l_bool: fun_fu1297083715ol_nat ).

tff(func_def_47,type,
    finite_finite_a: fun_fun_a_bool_bool ).

tff(func_def_48,type,
    finite_finite_pname: fun_fu1430349052l_bool ).

tff(func_def_49,type,
    finite_finite_nat: fun_fu425979586l_bool ).

tff(func_def_50,type,
    finite347923420a_bool: fun_fu885608257l_bool ).

tff(func_def_51,type,
    finite595471783e_bool: fun_fu399576434l_bool ).

tff(func_def_52,type,
    finite2012431853t_bool: fun_fu814369080l_bool ).

tff(func_def_53,type,
    finite1381704300l_bool: fun_fu255076663l_bool ).

tff(func_def_54,type,
    finite786885583l_bool: fun_fu1438281908l_bool ).

tff(func_def_55,type,
    finite1701474069l_bool: fun_fu61768826l_bool ).

tff(func_def_56,type,
    finite1343359508l_bool: fun_fu754241017l_bool ).

tff(func_def_57,type,
    finite1491191519l_bool: fun_fu2065874474l_bool ).

tff(func_def_58,type,
    finite719726885l_bool: fun_fu1971389424l_bool ).

tff(func_def_59,type,
    minus_minus_nat: nat > fun_nat_nat ).

tff(func_def_60,type,
    suc: fun_nat_nat ).

tff(func_def_61,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

tff(func_def_62,type,
    ord_le1311769555a_bool: fun_fu1471507361l_bool ).

tff(func_def_63,type,
    ord_le313189616e_bool: fun_fu802393907l_bool ).

tff(func_def_64,type,
    ord_le1568362934t_bool: fun_fu1217155507l_bool ).

tff(func_def_65,type,
    ord_le1375614389l_bool: fun_fu418465139l_bool ).

tff(func_def_66,type,
    ord_le675606854l_bool: fun_fu1911931399l_bool ).

tff(func_def_67,type,
    ord_le1454342156l_bool: fun_fu140186515l_bool ).

tff(func_def_68,type,
    ord_le967226251l_bool: fun_fu821736593l_bool ).

tff(func_def_69,type,
    ord_le1375671464l_bool: fun_fu1086940979l_bool ).

tff(func_def_70,type,
    ord_le65145710l_bool: fun_fu1137991347l_bool ).

tff(func_def_71,type,
    collect_a: fun_a_bool > fun_a_bool ).

tff(func_def_72,type,
    collect_pname: fun_pname_bool > fun_pname_bool ).

tff(func_def_73,type,
    collect_nat: fun_nat_bool > fun_nat_bool ).

tff(func_def_74,type,
    collect_fun_a_bool: fun_fun_a_bool_bool > fun_fun_a_bool_bool ).

tff(func_def_75,type,
    collec1974731493e_bool: fun_fu1430349052l_bool > fun_fu1430349052l_bool ).

tff(func_def_76,type,
    collect_fun_nat_bool: fun_fu425979586l_bool > fun_fu425979586l_bool ).

tff(func_def_77,type,
    collec707592106l_bool: fun_fu885608257l_bool > fun_fu885608257l_bool ).

tff(func_def_78,type,
    collec1613912337l_bool: fun_fu399576434l_bool > fun_fu399576434l_bool ).

tff(func_def_79,type,
    collec1015864663l_bool: fun_fu814369080l_bool > fun_fu814369080l_bool ).

tff(func_def_80,type,
    collec1635217238l_bool: fun_fu255076663l_bool > fun_fu255076663l_bool ).

tff(func_def_81,type,
    collec792590109l_bool: fun_fu1438281908l_bool > fun_fu1438281908l_bool ).

tff(func_def_82,type,
    collec1874991203l_bool: fun_fu61768826l_bool > fun_fu61768826l_bool ).

tff(func_def_83,type,
    image_a_a: ( fun_a_a * fun_a_bool ) > fun_a_bool ).

tff(func_def_84,type,
    image_a_pname: ( fun_a_pname * fun_a_bool ) > fun_pname_bool ).

tff(func_def_85,type,
    image_a_nat: ( fun_a_nat * fun_a_bool ) > fun_nat_bool ).

tff(func_def_86,type,
    image_pname_a: ( fun_pname_a * fun_pname_bool ) > fun_a_bool ).

tff(func_def_87,type,
    image_pname_pname: ( fun_pname_pname * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_88,type,
    image_pname_nat: ( fun_pname_nat * fun_pname_bool ) > fun_nat_bool ).

tff(func_def_89,type,
    image_112932426a_bool: ( fun_pname_fun_a_bool * fun_pname_bool ) > fun_fun_a_bool_bool ).

tff(func_def_90,type,
    image_47868345e_bool: ( fun_pn800050071e_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).

tff(func_def_91,type,
    image_2129980159t_bool: ( fun_pn406123357t_bool * fun_pname_bool ) > fun_fu425979586l_bool ).

tff(func_def_92,type,
    image_1420695166l_bool: ( fun_pn1038293468l_bool * fun_pname_bool ) > fun_fu885608257l_bool ).

tff(func_def_93,type,
    image_1642285373l_bool: ( fun_pn422929397l_bool * fun_pname_bool ) > fun_fu399576434l_bool ).

tff(func_def_94,type,
    image_1154884483l_bool: ( fun_pn1165013435l_bool * fun_pname_bool ) > fun_fu814369080l_bool ).

tff(func_def_95,type,
    image_nat_a: ( fun_nat_a * fun_nat_bool ) > fun_a_bool ).

tff(func_def_96,type,
    image_nat_pname: ( fun_nat_pname * fun_nat_bool ) > fun_pname_bool ).

tff(func_def_97,type,
    image_nat_fun_a_bool: ( fun_nat_fun_a_bool * fun_nat_bool ) > fun_fun_a_bool_bool ).

tff(func_def_98,type,
    image_1655916159e_bool: ( fun_na936072029e_bool * fun_nat_bool ) > fun_fu1430349052l_bool ).

tff(func_def_99,type,
    image_26036933t_bool: ( fun_nat_fun_nat_bool * fun_nat_bool ) > fun_fu425979586l_bool ).

tff(func_def_100,type,
    image_1208015684l_bool: ( fun_na1632405922l_bool * fun_nat_bool ) > fun_fu885608257l_bool ).

tff(func_def_101,type,
    image_1874789623l_bool: ( fun_na2122364079l_bool * fun_nat_bool ) > fun_fu399576434l_bool ).

tff(func_def_102,type,
    image_1607900221l_bool: ( fun_na1436237685l_bool * fun_nat_bool ) > fun_fu814369080l_bool ).

tff(func_def_103,type,
    image_fun_a_bool_a: ( fun_fun_a_bool_a * fun_fun_a_bool_bool ) > fun_a_bool ).

tff(func_def_104,type,
    image_1854862208_pname: ( fun_fun_a_bool_pname * fun_fun_a_bool_bool ) > fun_pname_bool ).

tff(func_def_105,type,
    image_fun_a_bool_nat: ( fun_fun_a_bool_nat * fun_fun_a_bool_bool ) > fun_nat_bool ).

tff(func_def_106,type,
    image_876012084bool_a: ( fun_fun_pname_bool_a * fun_fu1430349052l_bool ) > fun_a_bool ).

tff(func_def_107,type,
    image_1283814551_pname: ( fun_fu1499449723_pname * fun_fu1430349052l_bool ) > fun_pname_bool ).

tff(func_def_108,type,
    image_1551609309ol_nat: ( fun_fu1668467777ol_nat * fun_fu1430349052l_bool ) > fun_nat_bool ).

tff(func_def_109,type,
    image_fun_nat_bool_a: ( fun_fun_nat_bool_a * fun_fu425979586l_bool ) > fun_a_bool ).

tff(func_def_110,type,
    image_1921560913_pname: ( fun_fu665170229_pname * fun_fu425979586l_bool ) > fun_pname_bool ).

tff(func_def_111,type,
    image_496248727ol_nat: ( fun_fun_nat_bool_nat * fun_fu425979586l_bool ) > fun_nat_bool ).

tff(func_def_112,type,
    image_573985017bool_a: ( fun_fu1373417771bool_a * fun_fu885608257l_bool ) > fun_a_bool ).

tff(func_def_113,type,
    image_990671762_pname: ( fun_fu1175941238_pname * fun_fu885608257l_bool ) > fun_pname_bool ).

tff(func_def_114,type,
    image_1802975832ol_nat: ( fun_fu2020802748ol_nat * fun_fu885608257l_bool ) > fun_nat_bool ).

tff(func_def_115,type,
    image_349102846bool_a: ( fun_fu2061654492bool_a * fun_fu399576434l_bool ) > fun_a_bool ).

tff(func_def_116,type,
    image_1705983821_pname: ( fun_fu1664106117_pname * fun_fu399576434l_bool ) > fun_pname_bool ).

tff(func_def_117,type,
    image_1079571347ol_nat: ( fun_fu1730389579ol_nat * fun_fu399576434l_bool ) > fun_nat_bool ).

tff(func_def_118,type,
    image_526090948bool_a: ( fun_fu897950882bool_a * fun_fu814369080l_bool ) > fun_a_bool ).

tff(func_def_119,type,
    image_1604018183_pname: ( fun_fu881587263_pname * fun_fu814369080l_bool ) > fun_pname_bool ).

tff(func_def_120,type,
    image_2089570637ol_nat: ( fun_fu411113733ol_nat * fun_fu814369080l_bool ) > fun_nat_bool ).

tff(func_def_121,type,
    insert_a: ( x_a * fun_a_bool ) > fun_a_bool ).

tff(func_def_122,type,
    insert_pname: ( pname * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_123,type,
    insert_nat: ( nat * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_124,type,
    insert_fun_a_bool: ( fun_a_bool * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).

tff(func_def_125,type,
    insert1325755072e_bool: ( fun_pname_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).

tff(func_def_126,type,
    insert_fun_nat_bool: ( fun_nat_bool * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).

tff(func_def_127,type,
    insert1457093509l_bool: ( fun_fun_a_bool_bool * fun_fu885608257l_bool ) > fun_fu885608257l_bool ).

tff(func_def_128,type,
    insert1117693814l_bool: ( fun_fu1430349052l_bool * fun_fu399576434l_bool ) > fun_fu399576434l_bool ).

tff(func_def_129,type,
    insert2003652156l_bool: ( fun_fu425979586l_bool * fun_fu814369080l_bool ) > fun_fu814369080l_bool ).

tff(func_def_130,type,
    fNot: fun_bool_bool ).

tff(func_def_131,type,
    fconj: fun_bo1549164019l_bool ).

tff(func_def_132,type,
    fdisj: fun_bo1549164019l_bool ).

tff(func_def_133,type,
    fequal_a: fun_a_fun_a_bool ).

tff(func_def_134,type,
    fequal_pname: fun_pn800050071e_bool ).

tff(func_def_135,type,
    fequal_nat: fun_nat_fun_nat_bool ).

tff(func_def_136,type,
    fequal_fun_a_bool: fun_fu1471507361l_bool ).

tff(func_def_137,type,
    fequal533582459e_bool: fun_fu802393907l_bool ).

tff(func_def_138,type,
    fequal_fun_nat_bool: fun_fu1217155507l_bool ).

tff(func_def_139,type,
    fimplies: fun_bo1549164019l_bool ).

tff(func_def_140,type,
    hAPP_a_bool: ( fun_a_bool * x_a ) > bool ).

tff(func_def_141,type,
    hAPP_a_fun_a_bool: ( fun_a_fun_a_bool * x_a ) > fun_a_bool ).

tff(func_def_142,type,
    hAPP_a93125764e_bool: ( fun_a_fun_pname_bool * x_a ) > fun_pname_bool ).

tff(func_def_143,type,
    hAPP_a_fun_bool_bool: ( fun_a_fun_bool_bool * x_a ) > fun_bool_bool ).

tff(func_def_144,type,
    hAPP_a85458249l_bool: ( fun_a_1255737515l_bool * x_a ) > fun_fun_a_bool_bool ).

tff(func_def_145,type,
    hAPP_pname_a: ( fun_pname_a * pname ) > x_a ).

tff(func_def_146,type,
    hAPP_pname_bool: ( fun_pname_bool * pname ) > bool ).

tff(func_def_147,type,
    hAPP_p1534023578a_bool: ( fun_pname_fun_a_bool * pname ) > fun_a_bool ).

tff(func_def_148,type,
    hAPP_p61793385e_bool: ( fun_pn800050071e_bool * pname ) > fun_pname_bool ).

tff(func_def_149,type,
    hAPP_p393069232l_bool: ( fun_pn250273176l_bool * pname ) > fun_bool_bool ).

tff(func_def_150,type,
    hAPP_p338031245l_bool: ( fun_pn422929397l_bool * pname ) > fun_fu1430349052l_bool ).

tff(func_def_151,type,
    hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_152,type,
    hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).

tff(func_def_153,type,
    hAPP_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(func_def_154,type,
    hAPP_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_155,type,
    hAPP_nat_fun_a_bool: ( fun_nat_fun_a_bool * nat ) > fun_a_bool ).

tff(func_def_156,type,
    hAPP_n1025906991e_bool: ( fun_na936072029e_bool * nat ) > fun_pname_bool ).

tff(func_def_157,type,
    hAPP_n1006566506l_bool: ( fun_na1469252690l_bool * nat ) > fun_bool_bool ).

tff(func_def_158,type,
    hAPP_n1699378549t_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_159,type,
    hAPP_n215258509l_bool: ( fun_na1436237685l_bool * nat ) > fun_fu425979586l_bool ).

tff(func_def_160,type,
    hAPP_fun_a_bool_bool: ( fun_fun_a_bool_bool * fun_a_bool ) > bool ).

tff(func_def_161,type,
    hAPP_fun_a_bool_nat: ( fun_fun_a_bool_nat * fun_a_bool ) > nat ).

tff(func_def_162,type,
    hAPP_f2050579477a_bool: ( fun_fu1731003005a_bool * fun_a_bool ) > fun_a_bool ).

tff(func_def_163,type,
    hAPP_f198738859l_bool: ( fun_fu554186387l_bool * fun_a_bool ) > fun_bool_bool ).

tff(func_def_164,type,
    hAPP_f1631501043l_bool: ( fun_fu1471507361l_bool * fun_a_bool ) > fun_fun_a_bool_bool ).

tff(func_def_165,type,
    hAPP_f285962445l_bool: ( fun_fu386216885l_bool * fun_a_bool ) > fun_fu885608257l_bool ).

tff(func_def_166,type,
    hAPP_f1664156314l_bool: ( fun_fu1430349052l_bool * fun_pname_bool ) > bool ).

tff(func_def_167,type,
    hAPP_f921600141ol_nat: ( fun_fu1668467777ol_nat * fun_pname_bool ) > nat ).

tff(func_def_168,type,
    hAPP_f759274231e_bool: ( fun_fu410713561e_bool * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_169,type,
    hAPP_f1476298914l_bool: ( fun_fu31783638l_bool * fun_pname_bool ) > fun_bool_bool ).

tff(func_def_170,type,
    hAPP_f434788991l_bool: ( fun_fu802393907l_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).

tff(func_def_171,type,
    hAPP_f556039215l_bool: ( fun_fu931343505l_bool * fun_pname_bool ) > fun_fu399576434l_bool ).

tff(func_def_172,type,
    hAPP_f54304608l_bool: ( fun_fu425979586l_bool * fun_nat_bool ) > bool ).

tff(func_def_173,type,
    hAPP_f22106695ol_nat: ( fun_fun_nat_bool_nat * fun_nat_bool ) > nat ).

tff(func_def_174,type,
    hAPP_f1748468828l_bool: ( fun_fu1016514960l_bool * fun_nat_bool ) > fun_bool_bool ).

tff(func_def_175,type,
    hAPP_f800510211t_bool: ( fun_fu821463397t_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_176,type,
    hAPP_f103356543l_bool: ( fun_fu1217155507l_bool * fun_nat_bool ) > fun_fu425979586l_bool ).

tff(func_def_177,type,
    hAPP_f1951378235l_bool: ( fun_fu1436348701l_bool * fun_nat_bool ) > fun_fu814369080l_bool ).

tff(func_def_178,type,
    hAPP_f621171935l_bool: ( fun_fu885608257l_bool * fun_fun_a_bool_bool ) > bool ).

tff(func_def_179,type,
    hAPP_f2009550088ol_nat: ( fun_fu2020802748ol_nat * fun_fun_a_bool_bool ) > nat ).

tff(func_def_180,type,
    hAPP_f2117159681l_bool: ( fun_fu911136611l_bool * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).

tff(func_def_181,type,
    hAPP_f1434722111l_bool: ( fun_fu418465139l_bool * fun_fun_a_bool_bool ) > fun_fu885608257l_bool ).

tff(func_def_182,type,
    hAPP_f1935102916l_bool: ( fun_fu399576434l_bool * fun_fu1430349052l_bool ) > bool ).

tff(func_def_183,type,
    hAPP_f55526627ol_nat: ( fun_fu1730389579ol_nat * fun_fu1430349052l_bool ) > nat ).

tff(func_def_184,type,
    hAPP_f559147733l_bool: ( fun_fu2087345469l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).

tff(func_def_185,type,
    hAPP_f510955609l_bool: ( fun_fu1911931399l_bool * fun_fu1430349052l_bool ) > fun_fu399576434l_bool ).

tff(func_def_186,type,
    hAPP_f1637334154l_bool: ( fun_fu814369080l_bool * fun_fu425979586l_bool ) > bool ).

tff(func_def_187,type,
    hAPP_f696928925ol_nat: ( fun_fu411113733ol_nat * fun_fu425979586l_bool ) > nat ).

tff(func_def_188,type,
    hAPP_f1246832597l_bool: ( fun_fu616551101l_bool * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).

tff(func_def_189,type,
    hAPP_f1772781669l_bool: ( fun_fu140186515l_bool * fun_fu425979586l_bool ) > fun_fu814369080l_bool ).

tff(func_def_190,type,
    hAPP_f292226953l_bool: ( fun_fu255076663l_bool * fun_fu885608257l_bool ) > bool ).

tff(func_def_191,type,
    hAPP_f1253658590ol_nat: ( fun_fu48515398ol_nat * fun_fu885608257l_bool ) > nat ).

tff(func_def_192,type,
    hAPP_f1050622307l_bool: ( fun_fu821736593l_bool * fun_fu885608257l_bool ) > fun_fu255076663l_bool ).

tff(func_def_193,type,
    hAPP_f389811538l_bool: ( fun_fu1438281908l_bool * fun_fu399576434l_bool ) > bool ).

tff(func_def_194,type,
    hAPP_f98387925ol_nat: ( fun_fu1701008009ol_nat * fun_fu399576434l_bool ) > nat ).

tff(func_def_195,type,
    hAPP_f1759205631l_bool: ( fun_fu1086940979l_bool * fun_fu399576434l_bool ) > fun_fu1438281908l_bool ).

tff(func_def_196,type,
    hAPP_f937997336l_bool: ( fun_fu61768826l_bool * fun_fu814369080l_bool ) > bool ).

tff(func_def_197,type,
    hAPP_f1690079119ol_nat: ( fun_fu1297083715ol_nat * fun_fu814369080l_bool ) > nat ).

tff(func_def_198,type,
    hAPP_f760187903l_bool: ( fun_fu1137991347l_bool * fun_fu814369080l_bool ) > fun_fu61768826l_bool ).

tff(func_def_199,type,
    hAPP_f1363661463l_bool: ( fun_fu754241017l_bool * fun_fu255076663l_bool ) > bool ).

tff(func_def_200,type,
    hAPP_f595608956l_bool: ( fun_fu2065874474l_bool * fun_fu1438281908l_bool ) > bool ).

tff(func_def_201,type,
    hAPP_f1295398978l_bool: ( fun_fu1971389424l_bool * fun_fu61768826l_bool ) > bool ).

tff(func_def_202,type,
    member_a: fun_a_1255737515l_bool ).

tff(func_def_203,type,
    member_pname: fun_pn422929397l_bool ).

tff(func_def_204,type,
    member_nat: fun_na1436237685l_bool ).

tff(func_def_205,type,
    member_fun_a_bool: fun_fu386216885l_bool ).

tff(func_def_206,type,
    member799430823e_bool: fun_fu931343505l_bool ).

tff(func_def_207,type,
    member_fun_nat_bool: fun_fu1436348701l_bool ).

tff(func_def_208,type,
    g: fun_a_bool ).

tff(func_def_209,type,
    p: fun_a_bool > fun_fun_a_bool_bool ).

tff(func_def_210,type,
    u: fun_pname_bool ).

tff(func_def_211,type,
    mgt_call: fun_pname_a ).

tff(func_def_212,type,
    na: nat ).

tff(func_def_213,type,
    pn: pname ).

tff(func_def_214,type,
    sK0: ( fun_pname_a * fun_pname_bool * x_a ) > pname ).

tff(func_def_215,type,
    sK1: fun_nat_nat > nat ).

tff(func_def_216,type,
    sK2: ( fun_a_bool * fun_pname_a * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_217,type,
    sK3: ( fun_a_bool * fun_a_bool ) > x_a ).

tff(func_def_218,type,
    sK4: nat > nat ).

tff(func_def_219,type,
    sK5: ( fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_220,type,
    sK6: ( fun_pname_a * fun_pname_bool * fun_a_bool ) > pname ).

tff(func_def_221,type,
    sK7: fun_nat_bool > nat ).

tff(func_def_222,type,
    sK8: ( fun_pname_bool * x_a * fun_pname_a ) > pname ).

tff(func_def_223,type,
    sK9: ( fun_pname_bool * fun_a_bool * fun_pname_a ) > fun_pname_bool ).

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

tff(f847,plain,
    $false,
    inference(subsumption_resolution,[],[f846,f796]) ).

tff(f796,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,[],[f676,f746]) ).

tff(f746,plain,
    ! [X2: fun_pname_bool,X3: pname,X1: fun_pname_a] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X1,X3)),image_pname_a(X1,X2)))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2)) ),
    inference(equality_resolution,[],[f635]) ).

tff(f635,plain,
    ! [X2: fun_pname_bool,X3: pname,X0: x_a,X1: fun_pname_a] :
      ( ( hAPP_pname_a(X1,X3) != X0 )
      | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(X1,X2)))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2)) ),
    inference(cnf_transformation,[],[f543]) ).

tff(f543,plain,
    ! [X0: x_a,X1: fun_pname_a,X2: fun_pname_bool,X3: pname] :
      ( ( hAPP_pname_a(X1,X3) != X0 )
      | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(X1,X2)))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2)) ),
    inference(rectify,[],[f498]) ).

tff(f498,plain,
    ! [X0: x_a,X2: fun_pname_a,X1: fun_pname_bool,X3: pname] :
      ( ( hAPP_pname_a(X2,X3) != X0 )
      | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(X2,X1)))
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1)) ),
    inference(flattening,[],[f497]) ).

tff(f497,plain,
    ! [X3: pname,X2: fun_pname_a,X0: x_a,X1: fun_pname_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(X2,X1)))
      | ( hAPP_pname_a(X2,X3) != X0 )
      | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1)) ),
    inference(ennf_transformation,[],[f424]) ).

tff(f424,plain,
    ! [X3: pname,X2: fun_pname_a,X0: x_a,X1: fun_pname_bool] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
     => ( ( hAPP_pname_a(X2,X3) = X0 )
       => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(X2,X1))) ) ),
    inference(rectify,[],[f263]) ).

tff(f263,axiom,
    ! [X28: x_a,X2: fun_pname_bool,X6: fun_pname_a,X8: pname] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X2))
     => ( ( hAPP_pname_a(X6,X8) = X28 )
       => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X28),image_pname_a(X6,X2))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_262_rev__image__eqI) ).

tff(f676,plain,
    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
    inference(cnf_transformation,[],[f366]) ).

tff(f366,axiom,
    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).

tff(f846,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,[],[f668,f626,f719]) ).

tff(f719,plain,
    ! [X2: x_a,X0: fun_a_bool,X1: fun_a_bool] :
      ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X2,X0)),X1))
      | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X1))
      | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X1)) ),
    inference(cnf_transformation,[],[f607]) ).

tff(f607,plain,
    ! [X0: fun_a_bool,X1: fun_a_bool,X2: x_a] :
      ( ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X1))
          & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X1)) )
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X2,X0)),X1)) )
      & ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X2,X0)),X1))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X1))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X1)) ) ),
    inference(flattening,[],[f606]) ).

tff(f606,plain,
    ! [X0: fun_a_bool,X1: fun_a_bool,X2: x_a] :
      ( ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X1))
          & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X1)) )
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X2,X0)),X1)) )
      & ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X2,X0)),X1))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X1))
        | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X1)) ) ),
    inference(nnf_transformation,[],[f450]) ).

tff(f450,plain,
    ! [X0: fun_a_bool,X1: fun_a_bool,X2: x_a] :
      ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X1))
        & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X1)) )
    <=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X2,X0)),X1)) ),
    inference(rectify,[],[f275]) ).

tff(f275,axiom,
    ! [X2: fun_a_bool,X7: fun_a_bool,X8: x_a] :
      ( ( 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,X2),X7)) )
    <=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X8,X2)),X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_274_insert__subset) ).

tff(f626,plain,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
    inference(cnf_transformation,[],[f363]) ).

tff(f363,axiom,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

tff(f668,plain,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
    inference(cnf_transformation,[],[f370]) ).

tff(f370,plain,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
    inference(flattening,[],[f369]) ).

tff(f369,negated_conjecture,
    ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
    inference(negated_conjecture,[],[f368]) ).

tff(f368,conjecture,
    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWW473_1 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 21:03:49 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.50  % (11533)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)
% 0.19/0.50  % (11525)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)
% 0.19/0.50  % (11525)Instruction limit reached!
% 0.19/0.50  % (11525)------------------------------
% 0.19/0.50  % (11525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (11525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (11525)Termination reason: Unknown
% 0.19/0.50  % (11525)Termination phase: Preprocessing 1
% 0.19/0.50  
% 0.19/0.50  % (11525)Memory used [KB]: 2046
% 0.19/0.50  % (11525)Time elapsed: 0.004 s
% 0.19/0.50  % (11525)Instructions burned: 3 (million)
% 0.19/0.50  % (11525)------------------------------
% 0.19/0.50  % (11525)------------------------------
% 0.19/0.51  % (11517)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)
% 0.19/0.53  % (11522)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)
% 0.19/0.53  % (11530)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)
% 0.19/0.53  % (11513)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)
% 0.19/0.54  % (11530)Instruction limit reached!
% 0.19/0.54  % (11530)------------------------------
% 0.19/0.54  % (11530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (11514)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)
% 0.19/0.54  % (11530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (11530)Termination reason: Unknown
% 0.19/0.54  % (11530)Termination phase: Property scanning
% 0.19/0.54  
% 0.19/0.54  % (11530)Memory used [KB]: 2302
% 0.19/0.54  % (11530)Time elapsed: 0.009 s
% 0.19/0.54  % (11530)Instructions burned: 11 (million)
% 0.19/0.54  % (11530)------------------------------
% 0.19/0.54  % (11530)------------------------------
% 0.19/0.54  % (11522)Instruction limit reached!
% 0.19/0.54  % (11522)------------------------------
% 0.19/0.54  % (11522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (11522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (11522)Termination reason: Unknown
% 0.19/0.54  % (11522)Termination phase: Preprocessing 1
% 0.19/0.54  
% 0.19/0.54  % (11522)Memory used [KB]: 2174
% 0.19/0.54  % (11522)Time elapsed: 0.008 s
% 0.19/0.54  % (11522)Instructions burned: 7 (million)
% 0.19/0.54  % (11522)------------------------------
% 0.19/0.54  % (11522)------------------------------
% 0.19/0.54  % (11538)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)
% 0.19/0.54  % (11512)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)
% 0.19/0.54  % (11518)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)
% 0.19/0.54  % (11517)Instruction limit reached!
% 0.19/0.54  % (11517)------------------------------
% 0.19/0.54  % (11517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (11517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (11517)Termination reason: Unknown
% 0.19/0.54  % (11517)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (11517)Memory used [KB]: 7164
% 0.19/0.54  % (11517)Time elapsed: 0.086 s
% 0.19/0.54  % (11517)Instructions burned: 39 (million)
% 0.19/0.54  % (11517)------------------------------
% 0.19/0.54  % (11517)------------------------------
% 0.19/0.54  % (11539)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)
% 0.19/0.55  % (11536)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)
% 0.19/0.55  % (11540)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)
% 0.19/0.55  % (11515)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)
% 0.19/0.55  % (11519)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)
% 0.19/0.55  % (11537)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)
% 0.19/0.55  % (11516)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)
% 0.19/0.55  % (11528)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.55  % (11528)Instruction limit reached!
% 0.19/0.55  % (11528)------------------------------
% 0.19/0.55  % (11528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (11528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (11528)Termination reason: Unknown
% 0.19/0.55  % (11528)Termination phase: Preprocessing 1
% 0.19/0.55  
% 0.19/0.55  % (11528)Memory used [KB]: 2174
% 0.19/0.55  % (11528)Time elapsed: 0.003 s
% 0.19/0.55  % (11528)Instructions burned: 4 (million)
% 0.19/0.55  % (11528)------------------------------
% 0.19/0.55  % (11528)------------------------------
% 0.19/0.55  % (11513)Instruction limit reached!
% 0.19/0.55  % (11513)------------------------------
% 0.19/0.55  % (11513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (11513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (11513)Termination reason: Unknown
% 0.19/0.55  % (11513)Termination phase: Preprocessing 1
% 0.19/0.55  
% 0.19/0.55  % (11513)Memory used [KB]: 2046
% 0.19/0.55  % (11513)Time elapsed: 0.003 s
% 0.19/0.55  % (11513)Instructions burned: 4 (million)
% 0.19/0.55  % (11513)------------------------------
% 0.19/0.55  % (11513)------------------------------
% 0.19/0.55  % (11515)Instruction limit reached!
% 0.19/0.55  % (11515)------------------------------
% 0.19/0.55  % (11515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (11515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (11515)Termination reason: Unknown
% 0.19/0.55  % (11515)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (11515)Memory used [KB]: 6652
% 0.19/0.55  % (11515)Time elapsed: 0.007 s
% 0.19/0.55  % (11515)Instructions burned: 13 (million)
% 0.19/0.55  % (11515)------------------------------
% 0.19/0.55  % (11515)------------------------------
% 0.19/0.55  % (11511)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.55  % (11529)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)
% 0.19/0.56  % (11516)Instruction limit reached!
% 0.19/0.56  % (11516)------------------------------
% 0.19/0.56  % (11516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (11516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (11516)Termination reason: Unknown
% 0.19/0.56  % (11516)Termination phase: Property scanning
% 0.19/0.56  
% 0.19/0.56  % (11516)Memory used [KB]: 2686
% 0.19/0.56  % (11516)Time elapsed: 0.009 s
% 0.19/0.56  % (11516)Instructions burned: 16 (million)
% 0.19/0.56  % (11516)------------------------------
% 0.19/0.56  % (11516)------------------------------
% 0.19/0.56  % (11520)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)
% 0.19/0.56  % (11529)Instruction limit reached!
% 0.19/0.56  % (11529)------------------------------
% 0.19/0.56  % (11529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (11529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (11529)Termination reason: Unknown
% 0.19/0.56  % (11529)Termination phase: SInE selection
% 0.19/0.56  
% 0.19/0.56  % (11529)Memory used [KB]: 1918
% 0.19/0.56  % (11529)Time elapsed: 0.002 s
% 0.19/0.56  % (11529)Instructions burned: 2 (million)
% 0.19/0.56  % (11529)------------------------------
% 0.19/0.56  % (11529)------------------------------
% 0.19/0.56  % (11523)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)
% 0.19/0.56  % (11535)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)
% 0.19/0.56  % (11521)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)
% 0.19/0.56  % (11532)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)
% 0.19/0.56  % (11531)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)
% 0.19/0.56  % (11527)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)
% 0.19/0.56  % (11534)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)
% 0.19/0.56  % (11538)Instruction limit reached!
% 0.19/0.56  % (11538)------------------------------
% 0.19/0.56  % (11538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (11538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (11538)Termination reason: Unknown
% 0.19/0.56  % (11538)Termination phase: Property scanning
% 0.19/0.56  
% 0.19/0.56  % (11538)Memory used [KB]: 2686
% 0.19/0.56  % (11538)Time elapsed: 0.022 s
% 0.19/0.56  % (11538)Instructions burned: 25 (million)
% 0.19/0.56  % (11538)------------------------------
% 0.19/0.56  % (11538)------------------------------
% 0.19/0.56  % (11524)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)
% 0.19/0.57  % (11514)First to succeed.
% 0.19/0.57  % (11539)Instruction limit reached!
% 0.19/0.57  % (11539)------------------------------
% 0.19/0.57  % (11539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (11539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (11539)Termination reason: Unknown
% 0.19/0.57  % (11539)Termination phase: Preprocessing 3
% 0.19/0.57  
% 0.19/0.57  % (11539)Memory used [KB]: 2430
% 0.19/0.57  % (11539)Time elapsed: 0.006 s
% 0.19/0.57  % (11539)Instructions burned: 9 (million)
% 0.19/0.57  % (11539)------------------------------
% 0.19/0.57  % (11539)------------------------------
% 0.19/0.57  % (11526)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)
% 0.19/0.57  % (11514)Refutation found. Thanks to Tanya!
% 0.19/0.57  % SZS status Theorem for theBenchmark
% 0.19/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57  % (11514)------------------------------
% 0.19/0.57  % (11514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (11514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (11514)Termination reason: Refutation
% 0.19/0.57  
% 0.19/0.57  % (11514)Memory used [KB]: 6908
% 0.19/0.57  % (11514)Time elapsed: 0.153 s
% 0.19/0.57  % (11514)Instructions burned: 17 (million)
% 0.19/0.57  % (11514)------------------------------
% 0.19/0.57  % (11514)------------------------------
% 0.19/0.57  % (11510)Success in time 0.223 s
%------------------------------------------------------------------------------