TSTP Solution File: SWW473_3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW473_3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n028.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 : Fri Sep 1 01:03:19 EDT 2023
% Result : Theorem 0.57s 0.78s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 892
% Syntax : Number of formulae : 908 ( 11 unt; 887 typ; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 38 ( 17 ~; 11 |; 6 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 140 ( 139 usr)
% Number of type conns : 1235 ( 646 >; 589 *; 0 +; 0 <<)
% Number of predicates : 166 ( 165 usr; 1 prp; 0-4 aty)
% Number of functors : 583 ( 583 usr; 102 con; 0-4 aty)
% Number of variables : 27 (; 27 !; 0 ?; 27 :)
% 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,
sK124: nat > nat ).
tff(func_def_363,type,
sK125: nat > nat ).
tff(func_def_364,type,
sK126: int > nat ).
tff(func_def_365,type,
sK127: int > nat ).
tff(func_def_366,type,
sK128: int > nat ).
tff(func_def_367,type,
sK129: int > nat ).
tff(func_def_368,type,
sK130: nat > nat ).
tff(func_def_369,type,
sK131: fun_pname_bool > pname ).
tff(func_def_370,type,
sK132: fun_pname_bool > fun_pname_bool ).
tff(func_def_371,type,
sK133: fun_nat_bool > nat ).
tff(func_def_372,type,
sK134: fun_nat_bool > fun_nat_bool ).
tff(func_def_373,type,
sK135: fun_int_bool > int ).
tff(func_def_374,type,
sK136: fun_int_bool > fun_int_bool ).
tff(func_def_375,type,
sK137: fun_a_bool > x_a ).
tff(func_def_376,type,
sK138: fun_a_bool > fun_a_bool ).
tff(func_def_377,type,
sK139: fun_a_bool > x_a ).
tff(func_def_378,type,
sK140: fun_a_bool > x_a ).
tff(func_def_379,type,
sK141: fun_int_bool > int ).
tff(func_def_380,type,
sK142: fun_int_bool > int ).
tff(func_def_381,type,
sK143: fun_nat_bool > nat ).
tff(func_def_382,type,
sK144: fun_nat_bool > nat ).
tff(func_def_383,type,
sK145: fun_pname_bool > fun_pname_bool ).
tff(func_def_384,type,
sK146: fun_pname_bool > pname ).
tff(func_def_385,type,
sK147: fun_a_bool > fun_a_bool ).
tff(func_def_386,type,
sK148: fun_a_bool > x_a ).
tff(func_def_387,type,
sK149: fun_int_bool > fun_int_bool ).
tff(func_def_388,type,
sK150: fun_int_bool > int ).
tff(func_def_389,type,
sK151: fun_nat_bool > fun_nat_bool ).
tff(func_def_390,type,
sK152: fun_nat_bool > nat ).
tff(func_def_391,type,
sK153: ( fun_nat_bool * nat ) > nat ).
tff(func_def_392,type,
sK154: fun_nat_bool > nat ).
tff(func_def_393,type,
sK155: ( fun_nat_bool * nat ) > nat ).
tff(func_def_394,type,
sK156: fun_nat_bool > nat ).
tff(func_def_395,type,
sK157: nat > nat ).
tff(func_def_396,type,
sK158: fun_pname_bool > pname ).
tff(func_def_397,type,
sK159: fun_a_bool > x_a ).
tff(func_def_398,type,
sK160: fun_int_bool > int ).
tff(func_def_399,type,
sK161: fun_nat_bool > nat ).
tff(func_def_400,type,
sK162: fun_int_bool > nat ).
tff(func_def_401,type,
sK163: fun_int_bool > int ).
tff(func_def_402,type,
sK164: fun_pname_bool > pname ).
tff(func_def_403,type,
sK165: fun_a_bool > x_a ).
tff(func_def_404,type,
sK166: fun_int_bool > int ).
tff(func_def_405,type,
sK167: fun_nat_bool > nat ).
tff(func_def_406,type,
sK168: fun_int_bool > int ).
tff(func_def_407,type,
sK169: fun_int_bool > nat ).
tff(func_def_408,type,
sK170: int > nat ).
tff(func_def_409,type,
sK171: int > nat ).
tff(func_def_410,type,
sK172: fun_a_bool > pname ).
tff(func_def_411,type,
sK173: ( fun_pname_a * fun_pname_bool ) > pname ).
tff(func_def_412,type,
sK174: ( fun_in2065004473e_bool * fun_int_bool ) > int ).
tff(func_def_413,type,
sK175: ( fun_int_fun_a_bool * fun_int_bool ) > int ).
tff(func_def_414,type,
sK176: ( fun_int_fun_nat_bool * fun_int_bool ) > int ).
tff(func_def_415,type,
sK177: ( fun_int_fun_int_bool * fun_int_bool ) > int ).
tff(func_def_416,type,
sK178: ( fun_int_a * fun_int_bool ) > int ).
tff(func_def_417,type,
sK179: ( fun_na936072029e_bool * fun_nat_bool ) > nat ).
tff(func_def_418,type,
sK180: ( fun_nat_fun_a_bool * fun_nat_bool ) > nat ).
tff(func_def_419,type,
sK181: ( fun_nat_fun_int_bool * fun_nat_bool ) > nat ).
tff(func_def_420,type,
sK182: ( fun_nat_fun_nat_bool * fun_nat_bool ) > nat ).
tff(func_def_421,type,
sK183: ( fun_nat_int * fun_nat_bool ) > nat ).
tff(func_def_422,type,
sK184: ( fun_nat_bool * nat ) > nat ).
tff(func_def_423,type,
sK185: ( fun_nat_bool * nat ) > nat ).
tff(func_def_424,type,
sK186: fun_fu1430349052l_bool > pname ).
tff(func_def_425,type,
sK187: fun_fu1430349052l_bool > fun_pname_bool ).
tff(func_def_426,type,
sK188: fun_fu1430349052l_bool > pname ).
tff(func_def_427,type,
sK189: fun_fu1430349052l_bool > pname ).
tff(func_def_428,type,
sK190: fun_fu1430349052l_bool > fun_pname_bool ).
tff(func_def_429,type,
sK191: fun_fu1430349052l_bool > pname ).
tff(func_def_430,type,
sK192: fun_fu1430349052l_bool > fun_pname_bool ).
tff(func_def_431,type,
sK193: fun_fun_a_bool_bool > x_a ).
tff(func_def_432,type,
sK194: fun_fun_a_bool_bool > fun_a_bool ).
tff(func_def_433,type,
sK195: fun_fun_a_bool_bool > x_a ).
tff(func_def_434,type,
sK196: fun_fun_a_bool_bool > x_a ).
tff(func_def_435,type,
sK197: fun_fun_a_bool_bool > fun_a_bool ).
tff(func_def_436,type,
sK198: fun_fun_a_bool_bool > x_a ).
tff(func_def_437,type,
sK199: fun_fun_a_bool_bool > fun_a_bool ).
tff(func_def_438,type,
sK200: fun_fu819804446l_bool > int ).
tff(func_def_439,type,
sK201: fun_fu819804446l_bool > fun_int_bool ).
tff(func_def_440,type,
sK202: fun_fu819804446l_bool > int ).
tff(func_def_441,type,
sK203: fun_fu819804446l_bool > int ).
tff(func_def_442,type,
sK204: fun_fu819804446l_bool > fun_int_bool ).
tff(func_def_443,type,
sK205: fun_fu819804446l_bool > int ).
tff(func_def_444,type,
sK206: fun_fu819804446l_bool > fun_int_bool ).
tff(func_def_445,type,
sK207: fun_fu425979586l_bool > nat ).
tff(func_def_446,type,
sK208: fun_fu425979586l_bool > fun_nat_bool ).
tff(func_def_447,type,
sK209: fun_fu425979586l_bool > nat ).
tff(func_def_448,type,
sK210: fun_fu425979586l_bool > nat ).
tff(func_def_449,type,
sK211: fun_fu425979586l_bool > fun_nat_bool ).
tff(func_def_450,type,
sK212: fun_fu425979586l_bool > nat ).
tff(func_def_451,type,
sK213: fun_fu425979586l_bool > fun_nat_bool ).
tff(func_def_452,type,
sK214: fun_nat_bool > nat ).
tff(func_def_453,type,
sK215: fun_nat_bool > nat ).
tff(func_def_454,type,
sK216: ( nat * nat ) > nat ).
tff(func_def_455,type,
sK217: ( nat * nat ) > nat ).
tff(func_def_456,type,
sK218: ( nat * nat ) > nat ).
tff(func_def_457,type,
sK219: ( nat * nat ) > nat ).
tff(func_def_458,type,
sK220: nat > nat ).
tff(func_def_459,type,
sK221: fun_nat_nat > nat ).
tff(func_def_460,type,
sK222: ( fun_a_bool * fun_a_bool ) > x_a ).
tff(func_def_461,type,
sK223: ( fun_int_bool * fun_int_bool ) > int ).
tff(func_def_462,type,
sK224: ( fun_nat_bool * fun_nat_bool ) > nat ).
tff(func_def_463,type,
sK225: ( fun_int_bool * fun_int_bool ) > int ).
tff(func_def_464,type,
sK226: ( fun_pname_bool * fun_pname_bool ) > pname ).
tff(func_def_465,type,
sK227: ( fun_a_bool * fun_a_bool ) > x_a ).
tff(func_def_466,type,
sK228: ( fun_int_bool * fun_int_bool ) > int ).
tff(func_def_467,type,
sK229: ( fun_nat_bool * fun_nat_bool ) > nat ).
tff(func_def_468,type,
sK230: ( nat * fun_nat_bool ) > nat ).
tff(func_def_469,type,
sK231: ( fun_a_bool * fun_a_bool ) > x_a ).
tff(func_def_470,type,
sK232: ( fun_int_bool * fun_int_bool ) > int ).
tff(func_def_471,type,
sK233: ( fun_nat_bool * fun_nat_bool ) > nat ).
tff(func_def_472,type,
sK234: ( int * int ) > nat ).
tff(func_def_473,type,
sK235: ( int * int ) > nat ).
tff(func_def_474,type,
sK236: ( nat * nat ) > nat ).
tff(func_def_475,type,
sK237: ( nat * nat ) > nat ).
tff(func_def_476,type,
sK238: ( nat * nat ) > nat ).
tff(func_def_477,type,
sK239: ( fun_fun_a_bool_bool * fun_a_fun_a_bool * fun_a_bool ) > fun_a_bool ).
tff(func_def_478,type,
sK240: ( fun_fu1430349052l_bool * fun_a_fun_pname_bool * fun_a_bool ) > fun_a_bool ).
tff(func_def_479,type,
sK241: ( fun_fu425979586l_bool * fun_a_fun_nat_bool * fun_a_bool ) > fun_a_bool ).
tff(func_def_480,type,
sK242: ( fun_fu819804446l_bool * fun_a_fun_int_bool * fun_a_bool ) > fun_a_bool ).
tff(func_def_481,type,
sK243: ( fun_fun_a_bool_bool * fun_pname_fun_a_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_482,type,
sK244: ( fun_fu425979586l_bool * fun_pn406123357t_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_483,type,
sK245: ( fun_fu819804446l_bool * fun_pn665169337t_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_484,type,
sK246: ( fun_fu1430349052l_bool * fun_pn800050071e_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_485,type,
sK247: ( fun_fu425979586l_bool * fun_int_fun_nat_bool * fun_int_bool ) > fun_int_bool ).
tff(func_def_486,type,
sK248: ( fun_fu819804446l_bool * fun_int_fun_int_bool * fun_int_bool ) > fun_int_bool ).
tff(func_def_487,type,
sK249: ( fun_fun_a_bool_bool * fun_int_fun_a_bool * fun_int_bool ) > fun_int_bool ).
tff(func_def_488,type,
sK250: ( fun_fu1430349052l_bool * fun_in2065004473e_bool * fun_int_bool ) > fun_int_bool ).
tff(func_def_489,type,
sK251: ( fun_fun_a_bool_bool * fun_nat_fun_a_bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_490,type,
sK252: ( fun_fu819804446l_bool * fun_nat_fun_int_bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_491,type,
sK253: ( fun_fu1430349052l_bool * fun_na936072029e_bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_492,type,
sK254: ( fun_fu425979586l_bool * fun_nat_fun_nat_bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_493,type,
sK255: ( fun_fu1430349052l_bool * fun_pname_bool ) > pname ).
tff(func_def_494,type,
sK256: ( fun_fu1430349052l_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_495,type,
sK257: ( fun_pname_bool * fun_fun_a_bool_pname * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).
tff(func_def_496,type,
sK258: ( fun_pname_bool * fun_fu665170229_pname * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).
tff(func_def_497,type,
sK259: ( fun_pname_bool * fun_fu953875929_pname * fun_fu819804446l_bool ) > fun_fu819804446l_bool ).
tff(func_def_498,type,
sK260: ( fun_pname_bool * fun_fu1499449723_pname * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_499,type,
sK261: ( fun_pname_bool * fun_pname_pname * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_500,type,
sK262: ( fun_pname_bool * fun_int_pname * fun_int_bool ) > fun_int_bool ).
tff(func_def_501,type,
sK263: ( fun_pname_bool * fun_nat_pname * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_502,type,
sK264: ( fun_pname_bool * fun_a_pname * fun_a_bool ) > fun_a_bool ).
tff(func_def_503,type,
sK265: ( fun_fun_a_bool_bool * fun_a_bool ) > x_a ).
tff(func_def_504,type,
sK266: ( fun_fun_a_bool_bool * fun_a_bool ) > fun_a_bool ).
tff(func_def_505,type,
sK267: ( fun_a_bool * fun_fun_a_bool_a * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).
tff(func_def_506,type,
sK268: ( fun_a_bool * fun_fun_pname_bool_a * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_507,type,
sK269: ( fun_a_bool * fun_fun_int_bool_a * fun_fu819804446l_bool ) > fun_fu819804446l_bool ).
tff(func_def_508,type,
sK270: ( fun_a_bool * fun_fun_nat_bool_a * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).
tff(func_def_509,type,
sK271: ( fun_a_bool * fun_a_a * fun_a_bool ) > fun_a_bool ).
tff(func_def_510,type,
sK272: ( fun_a_bool * fun_nat_a * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_511,type,
sK273: ( fun_a_bool * fun_int_a * fun_int_bool ) > fun_int_bool ).
tff(func_def_512,type,
sK274: ( fun_a_bool * fun_pname_a * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_513,type,
sK275: ( fun_fu819804446l_bool * fun_int_bool ) > int ).
tff(func_def_514,type,
sK276: ( fun_fu819804446l_bool * fun_int_bool ) > fun_int_bool ).
tff(func_def_515,type,
sK277: ( fun_int_bool * fun_pname_int * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_516,type,
sK278: ( fun_int_bool * fun_fun_int_bool_int * fun_fu819804446l_bool ) > fun_fu819804446l_bool ).
tff(func_def_517,type,
sK279: ( fun_int_bool * fun_fun_nat_bool_int * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).
tff(func_def_518,type,
sK280: ( fun_int_bool * fun_fu1830380701ol_int * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_519,type,
sK281: ( fun_int_bool * fun_fun_a_bool_int * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).
tff(func_def_520,type,
sK282: ( fun_int_bool * fun_a_int * fun_a_bool ) > fun_a_bool ).
tff(func_def_521,type,
sK283: ( fun_int_bool * fun_nat_int * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_522,type,
sK284: ( fun_fu425979586l_bool * fun_nat_bool ) > nat ).
tff(func_def_523,type,
sK285: ( fun_fu425979586l_bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_524,type,
sK286: ( fun_nat_bool * fun_pname_nat * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_525,type,
sK287: ( fun_nat_bool * fun_fun_int_bool_nat * fun_fu819804446l_bool ) > fun_fu819804446l_bool ).
tff(func_def_526,type,
sK288: ( fun_nat_bool * fun_fun_a_bool_nat * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).
tff(func_def_527,type,
sK289: ( fun_nat_bool * fun_fun_nat_bool_nat * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).
tff(func_def_528,type,
sK290: ( fun_nat_bool * fun_fu1668467777ol_nat * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_529,type,
sK291: ( fun_nat_bool * fun_a_nat * fun_a_bool ) > fun_a_bool ).
tff(func_def_530,type,
sK292: fun_pn1208287926_pname > pname ).
tff(func_def_531,type,
sK293: fun_pn1208287926_pname > pname ).
tff(func_def_532,type,
sK294: fun_a_fun_a_a > x_a ).
tff(func_def_533,type,
sK295: fun_a_fun_a_a > x_a ).
tff(func_def_534,type,
sK296: fun_int_fun_int_int > int ).
tff(func_def_535,type,
sK297: fun_int_fun_int_int > int ).
tff(func_def_536,type,
sK298: fun_nat_fun_nat_nat > nat ).
tff(func_def_537,type,
sK299: fun_nat_fun_nat_nat > nat ).
tff(func_def_538,type,
sK300: ( fun_int_bool * int ) > int ).
tff(func_def_539,type,
sK301: ( fun_int_bool * int ) > int ).
tff(func_def_540,type,
sK302: fun_nat_bool > nat ).
tff(func_def_541,type,
sK303: ( fun_int_bool * int ) > int ).
tff(func_def_542,type,
sK304: ( fun_int_bool * int ) > int ).
tff(func_def_543,type,
sK305: ( int * fun_int_bool ) > int ).
tff(func_def_544,type,
sK306: ( int * fun_int_bool ) > int ).
tff(func_def_545,type,
sK307: fun_int_bool > int ).
tff(func_def_546,type,
sK308: ( fun_int_bool * fun_int_bool * int ) > int ).
tff(func_def_547,type,
sK309: ( int * fun_int_bool ) > int ).
tff(func_def_548,type,
sK310: ( int * fun_int_bool ) > int ).
tff(func_def_549,type,
sK311: fun_int_bool > int ).
tff(func_def_550,type,
sK312: ( fun_int_bool * fun_int_bool * int ) > int ).
tff(func_def_551,type,
sK313: ( fun_int_bool * int ) > int ).
tff(func_def_552,type,
sK314: ( fun_int_bool * int ) > int ).
tff(func_def_553,type,
sK315: ( fun_int_bool * int ) > int ).
tff(func_def_554,type,
sK316: ( fun_int_bool * int ) > int ).
tff(func_def_555,type,
sK317: ( fun_nat_bool * nat ) > nat ).
tff(func_def_556,type,
sK318: ( x_a * fun_pname_a * fun_pname_bool ) > pname ).
tff(func_def_557,type,
sK319: ( int * fun_nat_int * fun_nat_bool ) > nat ).
tff(func_def_558,type,
sK320: fun_nat_bool > nat ).
tff(func_def_559,type,
sK321: fun_na936072029e_bool > nat ).
tff(func_def_560,type,
sK322: fun_nat_fun_a_bool > nat ).
tff(func_def_561,type,
sK323: fun_nat_fun_int_bool > nat ).
tff(func_def_562,type,
sK324: fun_nat_fun_nat_bool > nat ).
tff(func_def_563,type,
sK325: fun_nat_int > nat ).
tff(func_def_564,type,
sK326: fun_nat_nat > nat ).
tff(func_def_565,type,
sK327: ( fun_pname_a * fun_a_bool * fun_pname_bool ) > pname ).
tff(func_def_566,type,
sK328: ( fun_nat_int * fun_int_bool * fun_nat_bool ) > nat ).
tff(func_def_567,type,
sK329: ( fun_nat_int * nat ) > nat ).
tff(func_def_568,type,
sK330: ( int * fun_nat_int * nat ) > nat ).
tff(func_def_569,type,
sK331: ( fun_nat_int * nat ) > nat ).
tff(func_def_570,type,
sK332: ( int * fun_nat_int * nat ) > nat ).
tff(func_def_571,type,
sK333: fun_nat_nat > nat ).
tff(func_def_572,type,
sK334: fun_nat_nat > nat ).
tff(func_def_573,type,
sK335: fun_nat_nat > nat ).
tff(func_def_574,type,
sK336: fun_nat_nat > nat ).
tff(func_def_575,type,
sK337: ( x_a * fun_pname_a * fun_pname_bool ) > pname ).
tff(func_def_576,type,
sK338: ( fun_a_bool * fun_pname_a * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_577,type,
sK339: ( int * fun_nat_int * fun_nat_bool ) > nat ).
tff(func_def_578,type,
sK340: ( fun_int_bool * fun_nat_int * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_579,type,
sK341: ( fun_nat_bool * nat * nat ) > nat ).
tff(func_def_580,type,
sK342: ( fun_nat_bool * nat * nat ) > nat ).
tff(func_def_581,type,
sK343: ( int * fun_nat_int * nat * nat ) > nat ).
tff(func_def_582,type,
sK344: ( fun_nat_int * nat * nat ) > nat ).
tff(pred_def_1,type,
hBOOL: bool > $o ).
tff(pred_def_2,type,
sP0: fun_pname_bool > $o ).
tff(pred_def_3,type,
sP1: fun_a_bool > $o ).
tff(pred_def_4,type,
sP2: fun_int_bool > $o ).
tff(pred_def_5,type,
sP3: fun_nat_bool > $o ).
tff(pred_def_6,type,
sP4: ( fun_nat_bool * nat ) > $o ).
tff(pred_def_7,type,
sP5: ( fun_nat_bool * nat ) > $o ).
tff(pred_def_8,type,
sP6: fun_fu1430349052l_bool > $o ).
tff(pred_def_9,type,
sP7: fun_fu1430349052l_bool > $o ).
tff(pred_def_10,type,
sP8: fun_fu1430349052l_bool > $o ).
tff(pred_def_11,type,
sP9: fun_fun_a_bool_bool > $o ).
tff(pred_def_12,type,
sP10: fun_fun_a_bool_bool > $o ).
tff(pred_def_13,type,
sP11: fun_fun_a_bool_bool > $o ).
tff(pred_def_14,type,
sP12: fun_fu819804446l_bool > $o ).
tff(pred_def_15,type,
sP13: fun_fu819804446l_bool > $o ).
tff(pred_def_16,type,
sP14: fun_fu819804446l_bool > $o ).
tff(pred_def_17,type,
sP15: fun_fu425979586l_bool > $o ).
tff(pred_def_18,type,
sP16: fun_fu425979586l_bool > $o ).
tff(pred_def_19,type,
sP17: fun_fu425979586l_bool > $o ).
tff(pred_def_20,type,
sP18: ( int * int ) > $o ).
tff(pred_def_21,type,
sP19: ( int * int ) > $o ).
tff(pred_def_22,type,
sP20: ( int * fun_int_bool * fun_int_bool ) > $o ).
tff(pred_def_23,type,
sP21: ( int * int ) > $o ).
tff(pred_def_24,type,
sP22: ( int * int ) > $o ).
tff(pred_def_25,type,
sP23: ( int * int ) > $o ).
tff(pred_def_26,type,
sP24: ( int * int ) > $o ).
tff(pred_def_27,type,
sP25: ( nat * nat ) > $o ).
tff(pred_def_28,type,
sP26: ( nat * nat ) > $o ).
tff(pred_def_29,type,
sP27: ( nat * nat ) > $o ).
tff(pred_def_30,type,
sP28: ( nat * nat ) > $o ).
tff(pred_def_31,type,
sP29: ( nat * nat ) > $o ).
tff(pred_def_32,type,
sP30: ( fun_fun_a_bool_bool * fun_a_fun_a_bool * fun_a_bool ) > $o ).
tff(pred_def_33,type,
sP31: ( fun_fu1430349052l_bool * fun_a_fun_pname_bool * fun_a_bool ) > $o ).
tff(pred_def_34,type,
sP32: ( fun_fu425979586l_bool * fun_a_fun_nat_bool * fun_a_bool ) > $o ).
tff(pred_def_35,type,
sP33: ( fun_fu819804446l_bool * fun_a_fun_int_bool * fun_a_bool ) > $o ).
tff(pred_def_36,type,
sP34: ( fun_fun_a_bool_bool * fun_pname_fun_a_bool * fun_pname_bool ) > $o ).
tff(pred_def_37,type,
sP35: ( fun_fu425979586l_bool * fun_pn406123357t_bool * fun_pname_bool ) > $o ).
tff(pred_def_38,type,
sP36: ( fun_fu819804446l_bool * fun_pn665169337t_bool * fun_pname_bool ) > $o ).
tff(pred_def_39,type,
sP37: ( fun_fu1430349052l_bool * fun_pn800050071e_bool * fun_pname_bool ) > $o ).
tff(pred_def_40,type,
sP38: ( fun_fu425979586l_bool * fun_int_fun_nat_bool * fun_int_bool ) > $o ).
tff(pred_def_41,type,
sP39: ( fun_fu819804446l_bool * fun_int_fun_int_bool * fun_int_bool ) > $o ).
tff(pred_def_42,type,
sP40: ( fun_fun_a_bool_bool * fun_int_fun_a_bool * fun_int_bool ) > $o ).
tff(pred_def_43,type,
sP41: ( fun_fu1430349052l_bool * fun_in2065004473e_bool * fun_int_bool ) > $o ).
tff(pred_def_44,type,
sP42: ( fun_fun_a_bool_bool * fun_nat_fun_a_bool * fun_nat_bool ) > $o ).
tff(pred_def_45,type,
sP43: ( fun_fu819804446l_bool * fun_nat_fun_int_bool * fun_nat_bool ) > $o ).
tff(pred_def_46,type,
sP44: ( fun_fu1430349052l_bool * fun_na936072029e_bool * fun_nat_bool ) > $o ).
tff(pred_def_47,type,
sP45: ( fun_fu425979586l_bool * fun_nat_fun_nat_bool * fun_nat_bool ) > $o ).
tff(pred_def_48,type,
sP46: ( fun_fu1430349052l_bool * fun_pname_bool ) > $o ).
tff(pred_def_49,type,
sP47: ( fun_pname_bool * fun_fun_a_bool_pname * fun_fun_a_bool_bool ) > $o ).
tff(pred_def_50,type,
sP48: ( fun_pname_bool * fun_fu665170229_pname * fun_fu425979586l_bool ) > $o ).
tff(pred_def_51,type,
sP49: ( fun_pname_bool * fun_fu953875929_pname * fun_fu819804446l_bool ) > $o ).
tff(pred_def_52,type,
sP50: ( fun_pname_bool * fun_fu1499449723_pname * fun_fu1430349052l_bool ) > $o ).
tff(pred_def_53,type,
sP51: ( fun_pname_bool * fun_pname_pname * fun_pname_bool ) > $o ).
tff(pred_def_54,type,
sP52: ( fun_pname_bool * fun_int_pname * fun_int_bool ) > $o ).
tff(pred_def_55,type,
sP53: ( fun_pname_bool * fun_nat_pname * fun_nat_bool ) > $o ).
tff(pred_def_56,type,
sP54: ( fun_pname_bool * fun_a_pname * fun_a_bool ) > $o ).
tff(pred_def_57,type,
sP55: ( fun_fun_a_bool_bool * fun_a_bool ) > $o ).
tff(pred_def_58,type,
sP56: ( fun_a_bool * fun_fun_a_bool_a * fun_fun_a_bool_bool ) > $o ).
tff(pred_def_59,type,
sP57: ( fun_a_bool * fun_fun_pname_bool_a * fun_fu1430349052l_bool ) > $o ).
tff(pred_def_60,type,
sP58: ( fun_a_bool * fun_fun_int_bool_a * fun_fu819804446l_bool ) > $o ).
tff(pred_def_61,type,
sP59: ( fun_a_bool * fun_fun_nat_bool_a * fun_fu425979586l_bool ) > $o ).
tff(pred_def_62,type,
sP60: ( fun_a_bool * fun_a_a * fun_a_bool ) > $o ).
tff(pred_def_63,type,
sP61: ( fun_a_bool * fun_nat_a * fun_nat_bool ) > $o ).
tff(pred_def_64,type,
sP62: ( fun_a_bool * fun_int_a * fun_int_bool ) > $o ).
tff(pred_def_65,type,
sP63: ( fun_a_bool * fun_pname_a * fun_pname_bool ) > $o ).
tff(pred_def_66,type,
sP64: ( fun_fu819804446l_bool * fun_int_bool ) > $o ).
tff(pred_def_67,type,
sP65: ( fun_int_bool * fun_pname_int * fun_pname_bool ) > $o ).
tff(pred_def_68,type,
sP66: ( fun_int_bool * fun_fun_int_bool_int * fun_fu819804446l_bool ) > $o ).
tff(pred_def_69,type,
sP67: ( fun_int_bool * fun_fun_nat_bool_int * fun_fu425979586l_bool ) > $o ).
tff(pred_def_70,type,
sP68: ( fun_int_bool * fun_fu1830380701ol_int * fun_fu1430349052l_bool ) > $o ).
tff(pred_def_71,type,
sP69: ( fun_int_bool * fun_fun_a_bool_int * fun_fun_a_bool_bool ) > $o ).
tff(pred_def_72,type,
sP70: ( fun_int_bool * fun_a_int * fun_a_bool ) > $o ).
tff(pred_def_73,type,
sP71: ( fun_int_bool * fun_nat_int * fun_nat_bool ) > $o ).
tff(pred_def_74,type,
sP72: ( fun_fu425979586l_bool * fun_nat_bool ) > $o ).
tff(pred_def_75,type,
sP73: ( fun_nat_bool * fun_pname_nat * fun_pname_bool ) > $o ).
tff(pred_def_76,type,
sP74: ( fun_nat_bool * fun_fun_int_bool_nat * fun_fu819804446l_bool ) > $o ).
tff(pred_def_77,type,
sP75: ( fun_nat_bool * fun_fun_a_bool_nat * fun_fun_a_bool_bool ) > $o ).
tff(pred_def_78,type,
sP76: ( fun_nat_bool * fun_fun_nat_bool_nat * fun_fu425979586l_bool ) > $o ).
tff(pred_def_79,type,
sP77: ( fun_nat_bool * fun_fu1668467777ol_nat * fun_fu1430349052l_bool ) > $o ).
tff(pred_def_80,type,
sP78: ( fun_nat_bool * fun_a_nat * fun_a_bool ) > $o ).
tff(pred_def_81,type,
sP79: ( fun_int_bool * int ) > $o ).
tff(pred_def_82,type,
sP80: ( fun_int_bool * int ) > $o ).
tff(pred_def_83,type,
sP81: ( int * fun_int_bool * fun_int_bool ) > $o ).
tff(pred_def_84,type,
sP82: ( int * fun_int_bool ) > $o ).
tff(pred_def_85,type,
sP83: ( int * fun_int_bool * fun_int_bool ) > $o ).
tff(pred_def_86,type,
sP84: ( int * fun_int_bool ) > $o ).
tff(pred_def_87,type,
sP85: ( fun_int_bool * int ) > $o ).
tff(pred_def_88,type,
sP86: ( fun_int_bool * int ) > $o ).
tff(pred_def_89,type,
sP87: ( fun_int_bool * int ) > $o ).
tff(pred_def_90,type,
sP88: ( fun_int_bool * int ) > $o ).
tff(pred_def_91,type,
sP89: ( fun_nat_bool * nat ) > $o ).
tff(pred_def_92,type,
sP90: ( bool * bool ) > $o ).
tff(pred_def_93,type,
sP91: ( bool * int ) > $o ).
tff(pred_def_94,type,
sP92: ( bool * int ) > $o ).
tff(pred_def_95,type,
sP93: ( bool * bool * int ) > $o ).
tff(pred_def_96,type,
sP94: ( bool * bool ) > $o ).
tff(pred_def_97,type,
sP95: ( bool * int ) > $o ).
tff(pred_def_98,type,
sP96: ( bool * int ) > $o ).
tff(pred_def_99,type,
sP97: ( bool * bool * int ) > $o ).
tff(pred_def_100,type,
sP98: ( nat * nat * fun_nat_fun_nat_bool ) > $o ).
tff(pred_def_101,type,
sP99: ( nat * nat * fun_nat_fun_nat_bool ) > $o ).
tff(pred_def_102,type,
sP100: ( fun_nat_int * nat ) > $o ).
tff(pred_def_103,type,
sP101: ( fun_nat_int * nat ) > $o ).
tff(pred_def_104,type,
sP102: ( fun_nat_bool * nat * nat ) > $o ).
tff(pred_def_105,type,
sP103: ( fun_nat_bool * nat * nat ) > $o ).
tff(pred_def_106,type,
sP104: ( fun_nat_bool * nat * nat ) > $o ).
tff(pred_def_107,type,
sP105: ( fun_nat_bool * nat * nat ) > $o ).
tff(pred_def_108,type,
sP106: ( fun_pname_bool * pname * fun_pname_bool ) > $o ).
tff(pred_def_109,type,
sP107: ( fun_pname_bool * fun_pname_bool * pname ) > $o ).
tff(pred_def_110,type,
sP108: ( fun_a_bool * x_a * fun_a_bool ) > $o ).
tff(pred_def_111,type,
sP109: ( fun_a_bool * fun_a_bool * x_a ) > $o ).
tff(pred_def_112,type,
sP110: ( fun_int_bool * int * fun_int_bool ) > $o ).
tff(pred_def_113,type,
sP111: ( fun_int_bool * fun_int_bool * int ) > $o ).
tff(pred_def_114,type,
sP112: ( fun_nat_bool * nat * fun_nat_bool ) > $o ).
tff(pred_def_115,type,
sP113: ( fun_nat_bool * fun_nat_bool * nat ) > $o ).
tff(pred_def_116,type,
sP114: ( nat * nat * fun_int_bool ) > $o ).
tff(pred_def_117,type,
sP115: ( fun_int_bool * nat * nat ) > $o ).
tff(pred_def_118,type,
sP116: ( fun_nat_int * nat * nat ) > $o ).
tff(pred_def_119,type,
sP117: ( int * fun_nat_int * nat * nat ) > $o ).
tff(pred_def_120,type,
sP118: ( int * int * int * int ) > $o ).
tff(pred_def_121,type,
sP119: ( int * int * int * int ) > $o ).
tff(pred_def_122,type,
sP120: ( nat * nat * nat * nat ) > $o ).
tff(pred_def_123,type,
sP121: ( nat * nat * nat * nat ) > $o ).
tff(pred_def_124,type,
sP122: ( x_a * x_a * x_a * x_a ) > $o ).
tff(pred_def_125,type,
sP123: ( x_a * x_a * x_a * x_a ) > $o ).
tff(pred_def_126,type,
sP345: fun_fu1499449723_pname > $o ).
tff(pred_def_127,type,
sP346: fun_fun_int_bool_int > $o ).
tff(pred_def_128,type,
sP347: fun_fun_a_bool_a > $o ).
tff(pred_def_129,type,
sP348: fun_fun_nat_bool_nat > $o ).
tff(pred_def_130,type,
sP349: fun_fun_a_bool_a > $o ).
tff(pred_def_131,type,
sP350: fun_fun_int_bool_int > $o ).
tff(pred_def_132,type,
sP351: fun_fun_nat_bool_nat > $o ).
tff(pred_def_133,type,
sP352: fun_int_bool > $o ).
tff(pred_def_134,type,
sP353: fun_int_bool > $o ).
tff(pred_def_135,type,
sP354: fun_int_bool > $o ).
tff(pred_def_136,type,
sP355: fun_int_bool > $o ).
tff(pred_def_137,type,
sP356: fun_int_bool > $o ).
tff(pred_def_138,type,
sP357: fun_int_bool > $o ).
tff(pred_def_139,type,
sP358: fun_int_bool > $o ).
tff(pred_def_140,type,
sP359: fun_int_bool > $o ).
tff(pred_def_141,type,
sP360: fun_int_bool > $o ).
tff(pred_def_142,type,
sP361: fun_pname_bool > $o ).
tff(pred_def_143,type,
sP362: fun_nat_bool > $o ).
tff(pred_def_144,type,
sP363: fun_fu1499449723_pname > $o ).
tff(pred_def_145,type,
sP364: fun_fu1499449723_pname > $o ).
tff(pred_def_146,type,
sP365: fun_fun_a_bool_a > $o ).
tff(pred_def_147,type,
sP366: fun_fun_a_bool_a > $o ).
tff(pred_def_148,type,
sP367: fun_fun_int_bool_int > $o ).
tff(pred_def_149,type,
sP368: fun_fun_int_bool_int > $o ).
tff(pred_def_150,type,
sP369: fun_fun_nat_bool_nat > $o ).
tff(pred_def_151,type,
sP370: fun_fun_nat_bool_nat > $o ).
tff(pred_def_152,type,
sQ371_eqProxy: ( nat * nat ) > $o ).
tff(pred_def_153,type,
sQ372_eqProxy: ( fun_nat_bool * fun_nat_bool ) > $o ).
tff(pred_def_154,type,
sQ373_eqProxy: ( int * int ) > $o ).
tff(pred_def_155,type,
sQ374_eqProxy: ( fun_int_bool * fun_int_bool ) > $o ).
tff(pred_def_156,type,
sQ375_eqProxy: ( x_a * x_a ) > $o ).
tff(pred_def_157,type,
sQ376_eqProxy: ( fun_a_bool * fun_a_bool ) > $o ).
tff(pred_def_158,type,
sQ377_eqProxy: ( pname * pname ) > $o ).
tff(pred_def_159,type,
sQ378_eqProxy: ( fun_pname_bool * fun_pname_bool ) > $o ).
tff(pred_def_160,type,
sQ379_eqProxy: ( bool * bool ) > $o ).
tff(pred_def_161,type,
sQ380_eqProxy: ( fun_fu819804446l_bool * fun_fu819804446l_bool ) > $o ).
tff(pred_def_162,type,
sQ381_eqProxy: ( fun_fu425979586l_bool * fun_fu425979586l_bool ) > $o ).
tff(pred_def_163,type,
sQ382_eqProxy: ( fun_fun_a_bool_bool * fun_fun_a_bool_bool ) > $o ).
tff(pred_def_164,type,
sQ383_eqProxy: ( fun_fu1430349052l_bool * fun_fu1430349052l_bool ) > $o ).
tff(pred_def_165,type,
sQ384_eqProxy: ( fun_bool_bool * fun_bool_bool ) > $o ).
tff(f8344,plain,
$false,
inference(subsumption_resolution,[],[f8342,f4894]) ).
tff(f4894,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/tmp/tmp.6EAiWIaeCz/Vampire---4.8_20174',conj_4) ).
tff(f8342,plain,
~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(resolution,[],[f8341,f6491]) ).
tff(f6491,plain,
! [X2: fun_pname_bool,X0: fun_pname_a,X1: pname] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X0,X1)),image_pname_a(X0,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(cnf_transformation,[],[f3330]) ).
tff(f3330,plain,
! [X0: fun_pname_a,X1: pname,X2: fun_pname_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X0,X1)),image_pname_a(X0,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(ennf_transformation,[],[f2295]) ).
tff(f2295,plain,
! [X0: fun_pname_a,X1: pname,X2: fun_pname_bool] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X0,X1)),image_pname_a(X0,X2))) ),
inference(rectify,[],[f435]) ).
tff(f435,axiom,
! [X6: fun_pname_a,X8: pname,X2: fun_pname_bool] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X2))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X6,X8)),image_pname_a(X6,X2))) ),
file('/export/starexec/sandbox2/tmp/tmp.6EAiWIaeCz/Vampire---4.8_20174',fact_434_imageI) ).
tff(f8341,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(subsumption_resolution,[],[f8202,f4896]) ).
tff(f4896,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/tmp/tmp.6EAiWIaeCz/Vampire---4.8_20174',conj_1) ).
tff(f8202,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u)))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),image_pname_a(mgt_call,u))) ),
inference(resolution,[],[f4892,f6804]) ).
tff(f6804,plain,
! [X2: fun_a_bool,X0: x_a,X1: fun_a_bool] :
( 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(cnf_transformation,[],[f4786]) ).
tff(f4786,plain,
! [X0: x_a,X1: fun_a_bool,X2: fun_a_bool] :
( ( 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)) )
& ( ( 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(flattening,[],[f4785]) ).
tff(f4785,plain,
! [X0: x_a,X1: fun_a_bool,X2: fun_a_bool] :
( ( 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)) )
& ( ( 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(nnf_transformation,[],[f2485]) ).
tff(f2485,plain,
! [X0: x_a,X1: fun_a_bool,X2: fun_a_bool] :
( 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(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,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X8),X2)),X7))
<=> ( 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)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.6EAiWIaeCz/Vampire---4.8_20174',fact_453_insert__subset) ).
tff(f4892,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/tmp/tmp.6EAiWIaeCz/Vampire---4.8_20174',conj_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.34 % Problem : SWW473_3 : TPTP v8.1.2. Released v5.3.0.
% 0.12/0.35 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.36/0.57 % Computer : n028.cluster.edu
% 0.36/0.57 % Model : x86_64 x86_64
% 0.36/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.36/0.57 % Memory : 8042.1875MB
% 0.36/0.57 % OS : Linux 3.10.0-693.el7.x86_64
% 0.36/0.57 % CPULimit : 300
% 0.36/0.57 % WCLimit : 300
% 0.36/0.57 % DateTime : Sun Aug 27 20:03:09 EDT 2023
% 0.36/0.57 % CPUTime :
% 0.36/0.57 This is a TF0_THM_EQU_NAR problem
% 0.36/0.57 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.6EAiWIaeCz/Vampire---4.8_20174
% 0.36/0.57 % (20300)Running in auto input_syntax mode. Trying TPTP
% 0.36/0.70 % (20306)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 0.36/0.72 % (20302)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 0.36/0.72 % (20303)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.36/0.72 % (20304)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.36/0.72 % (20301)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 0.36/0.72 % (20305)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.57/0.73 % (20307)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 0.57/0.78 % (20307)First to succeed.
% 0.57/0.78 % (20307)Refutation found. Thanks to Tanya!
% 0.57/0.78 % SZS status Theorem for Vampire---4
% 0.57/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.78 % (20307)------------------------------
% 0.57/0.78 % (20307)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.57/0.78 % (20307)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.57/0.78 % (20307)Termination reason: Refutation
% 0.57/0.78
% 0.57/0.78 % (20307)Memory used [KB]: 6780
% 0.57/0.78 % (20307)Time elapsed: 0.055 s
% 0.57/0.78 % (20307)------------------------------
% 0.57/0.78 % (20307)------------------------------
% 0.57/0.78 % (20300)Success in time 0.209 s
% 0.57/0.78 20302 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.6EAiWIaeCz/Vampire---4.8_20174
% 0.57/0.78 % (20302)------------------------------
% 0.57/0.78 % (20302)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.57/0.78 % (20302)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.57/0.78 % (20302)Termination reason: Unknown
% 0.57/0.78 % (20302)Termination phase: Saturation
% 0.57/0.78
% 0.57/0.78 % (20302)Memory used [KB]: 5245
% 0.57/0.78 % (20302)Time elapsed: 0.068 s
% 0.57/0.78 % (20302)------------------------------
% 0.57/0.78 % (20302)------------------------------
% 0.57/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------