%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW473_3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:30:30 PM UTC 2026
% Result : Theorem 2.35s 0.90s
% Output : Refutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 46 ( 22 ~; 16 |; 5 &)
% ( 1 <=>; 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 : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 384 ( 384 usr; 102 con; 0-3 aty)
% Number of variables : 31 ( 31 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
x_a: $tType ).
tff(type_def_6,type,
com: $tType ).
tff(type_def_7,type,
pname: $tType ).
tff(type_def_8,type,
bool: $tType ).
tff(type_def_9,type,
int: $tType ).
tff(type_def_10,type,
nat: $tType ).
tff(type_def_11,type,
option_com: $tType ).
tff(type_def_12,type,
fun_a_a: $tType ).
tff(type_def_13,type,
fun_a_pname: $tType ).
tff(type_def_14,type,
fun_a_bool: $tType ).
tff(type_def_15,type,
fun_a_int: $tType ).
tff(type_def_16,type,
fun_a_nat: $tType ).
tff(type_def_17,type,
fun_a_fun_a_a: $tType ).
tff(type_def_18,type,
fun_a_fun_a_bool: $tType ).
tff(type_def_19,type,
fun_a_fun_pname_bool: $tType ).
tff(type_def_20,type,
fun_a_fun_bool_bool: $tType ).
tff(type_def_21,type,
fun_a_fun_int_bool: $tType ).
tff(type_def_22,type,
fun_a_fun_nat_bool: $tType ).
tff(type_def_23,type,
fun_a_1255737515l_bool: $tType ).
tff(type_def_24,type,
fun_a_1752562919a_bool: $tType ).
tff(type_def_25,type,
fun_pname_a: $tType ).
tff(type_def_26,type,
fun_pname_pname: $tType ).
tff(type_def_27,type,
fun_pname_bool: $tType ).
tff(type_def_28,type,
fun_pname_int: $tType ).
tff(type_def_29,type,
fun_pname_nat: $tType ).
tff(type_def_30,type,
fun_pname_fun_a_bool: $tType ).
tff(type_def_31,type,
fun_pn1208287926_pname: $tType ).
tff(type_def_32,type,
fun_pn800050071e_bool: $tType ).
tff(type_def_33,type,
fun_pn250273176l_bool: $tType ).
tff(type_def_34,type,
fun_pn665169337t_bool: $tType ).
tff(type_def_35,type,
fun_pn406123357t_bool: $tType ).
tff(type_def_36,type,
fun_pn422929397l_bool: $tType ).
tff(type_def_37,type,
fun_pn479984722e_bool: $tType ).
tff(type_def_38,type,
fun_bool_bool: $tType ).
tff(type_def_39,type,
fun_bo1549164019l_bool: $tType ).
tff(type_def_40,type,
fun_int_a: $tType ).
tff(type_def_41,type,
fun_int_pname: $tType ).
tff(type_def_42,type,
fun_int_bool: $tType ).
tff(type_def_43,type,
fun_int_int: $tType ).
tff(type_def_44,type,
fun_int_fun_a_bool: $tType ).
tff(type_def_45,type,
fun_in2065004473e_bool: $tType ).
tff(type_def_46,type,
fun_in531499254l_bool: $tType ).
tff(type_def_47,type,
fun_int_fun_int_bool: $tType ).
tff(type_def_48,type,
fun_int_fun_int_int: $tType ).
tff(type_def_49,type,
fun_int_fun_nat_bool: $tType ).
tff(type_def_50,type,
fun_in1106722302l_bool: $tType ).
tff(type_def_51,type,
fun_in711834963l_bool: $tType ).
tff(type_def_52,type,
fun_in938817141l_bool: $tType ).
tff(type_def_53,type,
fun_in719570932t_bool: $tType ).
tff(type_def_54,type,
fun_in791894553l_bool: $tType ).
tff(type_def_55,type,
fun_nat_a: $tType ).
tff(type_def_56,type,
fun_nat_pname: $tType ).
tff(type_def_57,type,
fun_nat_bool: $tType ).
tff(type_def_58,type,
fun_nat_int: $tType ).
tff(type_def_59,type,
fun_nat_nat: $tType ).
tff(type_def_60,type,
fun_nat_fun_a_bool: $tType ).
tff(type_def_61,type,
fun_na936072029e_bool: $tType ).
tff(type_def_62,type,
fun_na1469252690l_bool: $tType ).
tff(type_def_63,type,
fun_nat_fun_int_bool: $tType ).
tff(type_def_64,type,
fun_nat_fun_nat_bool: $tType ).
tff(type_def_65,type,
fun_nat_fun_nat_nat: $tType ).
tff(type_def_66,type,
fun_na1632405922l_bool: $tType ).
tff(type_def_67,type,
fun_na2122364079l_bool: $tType ).
tff(type_def_68,type,
fun_na1583160273l_bool: $tType ).
tff(type_def_69,type,
fun_na1436237685l_bool: $tType ).
tff(type_def_70,type,
fun_na35521688t_bool: $tType ).
tff(type_def_71,type,
fun_fun_a_bool_a: $tType ).
tff(type_def_72,type,
fun_fun_a_bool_pname: $tType ).
tff(type_def_73,type,
fun_fun_a_bool_bool: $tType ).
tff(type_def_74,type,
fun_fun_a_bool_int: $tType ).
tff(type_def_75,type,
fun_fun_a_bool_nat: $tType ).
tff(type_def_76,type,
fun_fu1731003005a_bool: $tType ).
tff(type_def_77,type,
fun_fu868269973a_bool: $tType ).
tff(type_def_78,type,
fun_fu554186387l_bool: $tType ).
tff(type_def_79,type,
fun_fu859530750t_bool: $tType ).
tff(type_def_80,type,
fun_fu600484770t_bool: $tType ).
tff(type_def_81,type,
fun_fu1471507361l_bool: $tType ).
tff(type_def_82,type,
fun_fu1663643505a_bool: $tType ).
tff(type_def_83,type,
fun_fu386216885l_bool: $tType ).
tff(type_def_84,type,
fun_fu1434634199l_bool: $tType ).
tff(type_def_85,type,
fun_fun_pname_bool_a: $tType ).
tff(type_def_86,type,
fun_fu1499449723_pname: $tType ).
tff(type_def_87,type,
fun_fu1430349052l_bool: $tType ).
tff(type_def_88,type,
fun_fu1830380701ol_int: $tType ).
tff(type_def_89,type,
fun_fu1668467777ol_nat: $tType ).
tff(type_def_90,type,
fun_fu410713561e_bool: $tType ).
tff(type_def_91,type,
fun_fu31783638l_bool: $tType ).
tff(type_def_92,type,
fun_fu1159356667t_bool: $tType ).
tff(type_def_93,type,
fun_fu900310687t_bool: $tType ).
tff(type_def_94,type,
fun_fu802393907l_bool: $tType ).
tff(type_def_95,type,
fun_fu2101097872e_bool: $tType ).
tff(type_def_96,type,
fun_fu931343505l_bool: $tType ).
tff(type_def_97,type,
fun_fu1232732404l_bool: $tType ).
tff(type_def_98,type,
fun_fun_int_bool_a: $tType ).
tff(type_def_99,type,
fun_fu953875929_pname: $tType ).
tff(type_def_100,type,
fun_fu819804446l_bool: $tType ).
tff(type_def_101,type,
fun_fun_int_bool_int: $tType ).
tff(type_def_102,type,
fun_fun_int_bool_nat: $tType ).
tff(type_def_103,type,
fun_fu989146164l_bool: $tType ).
tff(type_def_104,type,
fun_fu554825757t_bool: $tType ).
tff(type_def_105,type,
fun_fu380257692t_bool: $tType ).
tff(type_def_106,type,
fun_fu295779777t_bool: $tType ).
tff(type_def_107,type,
fun_fu1151772339l_bool: $tType ).
tff(type_def_108,type,
fun_fu1075512626t_bool: $tType ).
tff(type_def_109,type,
fun_fu1637550549l_bool: $tType ).
tff(type_def_110,type,
fun_fu587680722l_bool: $tType ).
tff(type_def_111,type,
fun_fun_nat_bool_a: $tType ).
tff(type_def_112,type,
fun_fu665170229_pname: $tType ).
tff(type_def_113,type,
fun_fu425979586l_bool: $tType ).
tff(type_def_114,type,
fun_fun_nat_bool_int: $tType ).
tff(type_def_115,type,
fun_fun_nat_bool_nat: $tType ).
tff(type_def_116,type,
fun_fu1016514960l_bool: $tType ).
tff(type_def_117,type,
fun_fu1080509377t_bool: $tType ).
tff(type_def_118,type,
fun_fu821463397t_bool: $tType ).
tff(type_def_119,type,
fun_fu429110920t_bool: $tType ).
tff(type_def_120,type,
fun_fu1217155507l_bool: $tType ).
tff(type_def_121,type,
fun_fu915923926t_bool: $tType ).
tff(type_def_122,type,
fun_fu1436348701l_bool: $tType ).
tff(type_def_123,type,
fun_fu1516990510l_bool: $tType ).
tff(type_def_124,type,
fun_fu885608257l_bool: $tType ).
tff(type_def_125,type,
fun_fu2020802748ol_nat: $tType ).
tff(type_def_126,type,
fun_fu911136611l_bool: $tType ).
tff(type_def_127,type,
fun_fu418465139l_bool: $tType ).
tff(type_def_128,type,
fun_fu399576434l_bool: $tType ).
tff(type_def_129,type,
fun_fu1730389579ol_nat: $tType ).
tff(type_def_130,type,
fun_fu2087345469l_bool: $tType ).
tff(type_def_131,type,
fun_fu1911931399l_bool: $tType ).
tff(type_def_132,type,
fun_fu1540142484l_bool: $tType ).
tff(type_def_133,type,
fun_fu236049833ol_nat: $tType ).
tff(type_def_134,type,
fun_fu1070826941l_bool: $tType ).
tff(type_def_135,type,
fun_fu209342027l_bool: $tType ).
tff(type_def_136,type,
fun_fu814369080l_bool: $tType ).
tff(type_def_137,type,
fun_fu411113733ol_nat: $tType ).
tff(type_def_138,type,
fun_fu616551101l_bool: $tType ).
tff(type_def_139,type,
fun_fu140186515l_bool: $tType ).
tff(type_def_140,type,
fun_fu255076663l_bool: $tType ).
tff(type_def_141,type,
fun_fu1438281908l_bool: $tType ).
tff(type_def_142,type,
fun_fu717296342l_bool: $tType ).
tff(type_def_143,type,
fun_fu61768826l_bool: $tType ).
tff(func_def_0,type,
cOMBB_1897541054_pname: ( fun_a_fun_a_bool * fun_pname_a ) > fun_pname_fun_a_bool ).
tff(func_def_1,type,
cOMBB_375279840ol_int: ( fun_a_fun_a_bool * fun_int_a ) > fun_int_fun_a_bool ).
tff(func_def_2,type,
cOMBB_bool_bool_a: ( fun_bool_bool * fun_a_bool ) > fun_a_bool ).
tff(func_def_3,type,
cOMBB_647938656_pname: ( fun_bool_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_4,type,
cOMBB_bool_bool_int: ( fun_bool_bool * fun_int_bool ) > fun_int_bool ).
tff(func_def_5,type,
cOMBB_bool_bool_nat: ( fun_bool_bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_6,type,
cOMBB_1972296269bool_a: ( fun_bo1549164019l_bool * fun_a_bool ) > fun_a_fun_bool_bool ).
tff(func_def_7,type,
cOMBB_675860798_pname: ( fun_bo1549164019l_bool * fun_pname_bool ) > fun_pn250273176l_bool ).
tff(func_def_8,type,
cOMBB_1652995168ol_int: ( fun_bo1549164019l_bool * fun_int_bool ) > fun_in531499254l_bool ).
tff(func_def_9,type,
cOMBB_1015721476ol_nat: ( fun_bo1549164019l_bool * fun_nat_bool ) > fun_na1469252690l_bool ).
tff(func_def_10,type,
cOMBB_338059395a_bool: ( fun_bo1549164019l_bool * fun_fun_a_bool_bool ) > fun_fu554186387l_bool ).
tff(func_def_11,type,
cOMBB_2095475776e_bool: ( fun_bo1549164019l_bool * fun_fu1430349052l_bool ) > fun_fu31783638l_bool ).
tff(func_def_12,type,
cOMBB_1974511970t_bool: ( fun_bo1549164019l_bool * fun_fu819804446l_bool ) > fun_fu989146164l_bool ).
tff(func_def_13,type,
cOMBB_444170502t_bool: ( fun_bo1549164019l_bool * fun_fu425979586l_bool ) > fun_fu1016514960l_bool ).
tff(func_def_14,type,
cOMBB_int_bool_nat: ( fun_int_bool * fun_nat_int ) > fun_nat_bool ).
tff(func_def_15,type,
cOMBB_1628441366ol_nat: ( fun_int_fun_int_bool * fun_nat_int ) > fun_nat_fun_int_bool ).
tff(func_def_16,type,
cOMBB_800536526ol_nat: ( fun_nat_fun_nat_bool * fun_nat_nat ) > fun_nat_fun_nat_bool ).
tff(func_def_17,type,
cOMBB_1146692694ol_nat: ( fun_na1436237685l_bool * fun_nat_nat ) > fun_na1436237685l_bool ).
tff(func_def_18,type,
cOMBB_1273333599bool_a: ( fun_fun_a_bool_bool * fun_a_fun_a_bool ) > fun_a_bool ).
tff(func_def_19,type,
cOMBB_313729068ol_int: ( fun_fu1471507361l_bool * fun_int_fun_a_bool ) > fun_in1106722302l_bool ).
tff(func_def_20,type,
cOMBB_1823939024ol_nat: ( fun_fu1471507361l_bool * fun_nat_fun_a_bool ) > fun_na1632405922l_bool ).
tff(func_def_21,type,
cOMBB_607112096ol_int: ( fun_fu802393907l_bool * fun_in2065004473e_bool ) > fun_in711834963l_bool ).
tff(func_def_22,type,
cOMBB_2117322052ol_nat: ( fun_fu802393907l_bool * fun_na936072029e_bool ) > fun_na2122364079l_bool ).
tff(func_def_23,type,
cOMBB_1418110531ol_int: ( fun_fu819804446l_bool * fun_int_fun_int_bool ) > fun_int_bool ).
tff(func_def_24,type,
cOMBB_1761098400ol_int: ( fun_fu1151772339l_bool * fun_int_fun_int_bool ) > fun_in938817141l_bool ).
tff(func_def_25,type,
cOMBB_1123824708ol_nat: ( fun_fu1151772339l_bool * fun_nat_fun_int_bool ) > fun_na1583160273l_bool ).
tff(func_def_26,type,
cOMBB_955900739ol_nat: ( fun_fu425979586l_bool * fun_nat_fun_nat_bool ) > fun_nat_bool ).
tff(func_def_27,type,
cOMBB_516767136ol_int: ( fun_fu1217155507l_bool * fun_int_fun_nat_bool ) > fun_in791894553l_bool ).
tff(func_def_28,type,
cOMBB_2026977092ol_nat: ( fun_fu1217155507l_bool * fun_nat_fun_nat_bool ) > fun_na1436237685l_bool ).
tff(func_def_29,type,
cOMBC_a_a_bool: fun_a_fun_a_bool > fun_a_fun_a_bool ).
tff(func_def_30,type,
cOMBC_1355376034l_bool: fun_a_1255737515l_bool > fun_fu1731003005a_bool ).
tff(func_def_31,type,
cOMBC_394484100a_bool: fun_a_1752562919a_bool > fun_fu868269973a_bool ).
tff(func_def_32,type,
cOMBC_pname_a_bool: fun_pname_fun_a_bool > fun_a_fun_pname_bool ).
tff(func_def_33,type,
cOMBC_1149511130e_bool: fun_pn800050071e_bool > fun_pn800050071e_bool ).
tff(func_def_34,type,
cOMBC_1058051404l_bool: fun_pn422929397l_bool > fun_fu410713561e_bool ).
tff(func_def_35,type,
cOMBC_int_a_bool: fun_int_fun_a_bool > fun_a_fun_int_bool ).
tff(func_def_36,type,
cOMBC_int_int_bool: fun_int_fun_int_bool > fun_int_fun_int_bool ).
tff(func_def_37,type,
cOMBC_1753430397l_bool: fun_in1106722302l_bool > fun_fu859530750t_bool ).
tff(func_def_38,type,
cOMBC_316919022l_bool: fun_in711834963l_bool > fun_fu1159356667t_bool ).
tff(func_def_39,type,
cOMBC_94739984l_bool: fun_in938817141l_bool > fun_fu554825757t_bool ).
tff(func_def_40,type,
cOMBC_1683390479t_bool: fun_in719570932t_bool > fun_fu380257692t_bool ).
tff(func_def_41,type,
cOMBC_1848398772l_bool: fun_in791894553l_bool > fun_fu1080509377t_bool ).
tff(func_def_42,type,
cOMBC_nat_int_bool: fun_nat_fun_int_bool > fun_int_fun_nat_bool ).
tff(func_def_43,type,
cOMBC_nat_nat_bool: fun_nat_fun_nat_bool > fun_nat_fun_nat_bool ).
tff(func_def_44,type,
cOMBC_1928494297l_bool: fun_na1632405922l_bool > fun_fu600484770t_bool ).
tff(func_def_45,type,
cOMBC_386238098l_bool: fun_na2122364079l_bool > fun_fu900310687t_bool ).
tff(func_def_46,type,
cOMBC_620423604l_bool: fun_na1583160273l_bool > fun_fu295779777t_bool ).
tff(func_def_47,type,
cOMBC_226598744l_bool: fun_na1436237685l_bool > fun_fu821463397t_bool ).
tff(func_def_48,type,
cOMBC_178881787t_bool: fun_na35521688t_bool > fun_fu429110920t_bool ).
tff(func_def_49,type,
cOMBC_1732670874l_bool: fun_fu1471507361l_bool > fun_fu1471507361l_bool ).
tff(func_def_50,type,
cOMBC_1284144636l_bool: fun_fu802393907l_bool > fun_fu802393907l_bool ).
tff(func_def_51,type,
cOMBC_605892544l_bool: fun_fu1151772339l_bool > fun_fu1151772339l_bool ).
tff(func_def_52,type,
cOMBC_1693257480l_bool: fun_fu1217155507l_bool > fun_fu1217155507l_bool ).
tff(func_def_53,type,
cOMBC_331553030l_bool: fun_fu418465139l_bool > fun_fu418465139l_bool ).
tff(func_def_54,type,
cOMBC_7971162l_bool: fun_fu1911931399l_bool > fun_fu1911931399l_bool ).
tff(func_def_55,type,
cOMBC_348868698l_bool: fun_fu209342027l_bool > fun_fu209342027l_bool ).
tff(func_def_56,type,
cOMBC_595898202l_bool: fun_fu140186515l_bool > fun_fu140186515l_bool ).
tff(func_def_57,type,
cOMBI_nat: fun_nat_nat ).
tff(func_def_58,type,
cOMBK_a_pname: x_a > fun_pname_a ).
tff(func_def_59,type,
cOMBK_bool_a: bool > fun_a_bool ).
tff(func_def_60,type,
cOMBK_bool_int: bool > fun_int_bool ).
tff(func_def_61,type,
cOMBK_bool_nat: bool > fun_nat_bool ).
tff(func_def_62,type,
cOMBK_int_nat: int > fun_nat_int ).
tff(func_def_63,type,
cOMBS_a_bool_bool: ( fun_a_fun_bool_bool * fun_a_bool ) > fun_a_bool ).
tff(func_def_64,type,
cOMBS_568398431l_bool: ( fun_pn250273176l_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_65,type,
cOMBS_int_bool_bool: ( fun_in531499254l_bool * fun_int_bool ) > fun_int_bool ).
tff(func_def_66,type,
cOMBS_nat_bool_bool: ( fun_na1469252690l_bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_67,type,
cOMBS_1035972772l_bool: ( fun_fu554186387l_bool * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).
tff(func_def_68,type,
cOMBS_350070575l_bool: ( fun_fu31783638l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_69,type,
cOMBS_1912792529l_bool: ( fun_fu989146164l_bool * fun_fu819804446l_bool ) > fun_fu819804446l_bool ).
tff(func_def_70,type,
cOMBS_1187019125l_bool: ( fun_fu1016514960l_bool * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).
tff(func_def_71,type,
body: pname > option_com ).
tff(func_def_72,type,
finite_card_a: fun_fun_a_bool_nat ).
tff(func_def_73,type,
finite_card_pname: fun_fu1668467777ol_nat ).
tff(func_def_74,type,
finite_card_int: fun_fun_int_bool_nat ).
tff(func_def_75,type,
finite_card_nat: fun_fun_nat_bool_nat ).
tff(func_def_76,type,
finite1306199131a_bool: fun_fu2020802748ol_nat ).
tff(func_def_77,type,
finite1340463720e_bool: fun_fu1730389579ol_nat ).
tff(func_def_78,type,
finite1876863882t_bool: fun_fu236049833ol_nat ).
tff(func_def_79,type,
finite346522414t_bool: fun_fu411113733ol_nat ).
tff(func_def_80,type,
finite_finite_a: fun_fun_a_bool_bool ).
tff(func_def_81,type,
finite_finite_pname: fun_fu1430349052l_bool ).
tff(func_def_82,type,
finite_finite_int: fun_fu819804446l_bool ).
tff(func_def_83,type,
finite_finite_nat: fun_fu425979586l_bool ).
tff(func_def_84,type,
finite347923420a_bool: fun_fu885608257l_bool ).
tff(func_def_85,type,
finite595471783e_bool: fun_fu399576434l_bool ).
tff(func_def_86,type,
finite1395289673t_bool: fun_fu1540142484l_bool ).
tff(func_def_87,type,
finite2012431853t_bool: fun_fu814369080l_bool ).
tff(func_def_88,type,
finite1381704300l_bool: fun_fu255076663l_bool ).
tff(func_def_89,type,
finite786885583l_bool: fun_fu1438281908l_bool ).
tff(func_def_90,type,
finite2095298929l_bool: fun_fu717296342l_bool ).
tff(func_def_91,type,
finite1701474069l_bool: fun_fu61768826l_bool ).
tff(func_def_92,type,
finite_folding_one_a: ( fun_a_fun_a_a * fun_fun_a_bool_a ) > bool ).
tff(func_def_93,type,
finite1282449217_pname: ( fun_pn1208287926_pname * fun_fu1499449723_pname ) > bool ).
tff(func_def_94,type,
finite1626084323ne_int: ( fun_int_fun_int_int * fun_fun_int_bool_int ) > bool ).
tff(func_def_95,type,
finite988810631ne_nat: ( fun_nat_fun_nat_nat * fun_fun_nat_bool_nat ) > bool ).
tff(func_def_96,type,
finite1819937229idem_a: ( fun_a_fun_a_a * fun_fun_a_bool_a ) > bool ).
tff(func_def_97,type,
finite89670078_pname: ( fun_pn1208287926_pname * fun_fu1499449723_pname ) > bool ).
tff(func_def_98,type,
finite1432773856em_int: ( fun_int_fun_int_int * fun_fun_int_bool_int ) > bool ).
tff(func_def_99,type,
finite795500164em_nat: ( fun_nat_fun_nat_nat * fun_fun_nat_bool_nat ) > bool ).
tff(func_def_100,type,
abs_abs_int: int > int ).
tff(func_def_101,type,
minus_minus_int: fun_int_fun_int_int ).
tff(func_def_102,type,
minus_minus_nat: fun_nat_fun_nat_nat ).
tff(func_def_103,type,
minus_1762468890a_bool: fun_fu1663643505a_bool ).
tff(func_def_104,type,
minus_1015773161e_bool: fun_fu2101097872e_bool ).
tff(func_def_105,type,
minus_1449998731t_bool: fun_fu1075512626t_bool ).
tff(func_def_106,type,
minus_2067140911t_bool: fun_fu915923926t_bool ).
tff(func_def_107,type,
one_one_int: int ).
tff(func_def_108,type,
one_one_nat: nat ).
tff(func_def_109,type,
plus_plus_int: fun_int_fun_int_int ).
tff(func_def_110,type,
plus_plus_nat: fun_nat_fun_nat_nat ).
tff(func_def_111,type,
times_times_int: fun_int_fun_int_int ).
tff(func_def_112,type,
times_times_nat: fun_nat_fun_nat_nat ).
tff(func_def_113,type,
zero_zero_int: int ).
tff(func_def_114,type,
zero_zero_nat: nat ).
tff(func_def_115,type,
the_a: fun_fun_a_bool_a ).
tff(func_def_116,type,
the_int: fun_fun_int_bool_int ).
tff(func_def_117,type,
the_nat: fun_fun_nat_bool_nat ).
tff(func_def_118,type,
if_nat: bool > fun_nat_fun_nat_nat ).
tff(func_def_119,type,
bit1: int > int ).
tff(func_def_120,type,
pls: int ).
tff(func_def_121,type,
number_number_of_int: int > int ).
tff(func_def_122,type,
number_number_of_nat: int > nat ).
tff(func_def_123,type,
succ: int > int ).
tff(func_def_124,type,
suc: fun_nat_nat ).
tff(func_def_125,type,
nat_case_bool: ( bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_126,type,
nat_case_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).
tff(func_def_127,type,
semiri1621563631at_int: fun_nat_int ).
tff(func_def_128,type,
nat_neg: fun_int_bool ).
tff(func_def_129,type,
nat_tsub: fun_int_fun_int_int ).
tff(func_def_130,type,
the_com: option_com > com ).
tff(func_def_131,type,
bot_bot_bool: bool ).
tff(func_def_132,type,
bot_bot_nat: nat ).
tff(func_def_133,type,
bot_bot_fun_a_bool: fun_a_bool ).
tff(func_def_134,type,
bot_bo844097828e_bool: fun_pname_bool ).
tff(func_def_135,type,
bot_bot_fun_int_bool: fun_int_bool ).
tff(func_def_136,type,
bot_bot_fun_nat_bool: fun_nat_bool ).
tff(func_def_137,type,
ord_less_int: fun_int_fun_int_bool ).
tff(func_def_138,type,
ord_less_nat: fun_nat_fun_nat_bool ).
tff(func_def_139,type,
ord_le1912455174t_bool: fun_fu1151772339l_bool ).
tff(func_def_140,type,
ord_le382113706t_bool: fun_fu1217155507l_bool ).
tff(func_def_141,type,
ord_less_eq_bool: fun_bo1549164019l_bool ).
tff(func_def_142,type,
ord_less_eq_int: fun_int_fun_int_bool ).
tff(func_def_143,type,
ord_less_eq_nat: fun_nat_fun_nat_bool ).
tff(func_def_144,type,
ord_le1311769555a_bool: fun_fu1471507361l_bool ).
tff(func_def_145,type,
ord_le313189616e_bool: fun_fu802393907l_bool ).
tff(func_def_146,type,
ord_le951220754t_bool: fun_fu1151772339l_bool ).
tff(func_def_147,type,
ord_le1568362934t_bool: fun_fu1217155507l_bool ).
tff(func_def_148,type,
ord_le1375614389l_bool: fun_fu418465139l_bool ).
tff(func_def_149,type,
ord_le675606854l_bool: fun_fu1911931399l_bool ).
tff(func_def_150,type,
ord_le1848167016l_bool: fun_fu209342027l_bool ).
tff(func_def_151,type,
ord_le1454342156l_bool: fun_fu140186515l_bool ).
tff(func_def_152,type,
collect_a: fun_a_bool > fun_a_bool ).
tff(func_def_153,type,
collect_pname: fun_pname_bool > fun_pname_bool ).
tff(func_def_154,type,
collect_int: fun_int_bool > fun_int_bool ).
tff(func_def_155,type,
collect_nat: fun_nat_bool > fun_nat_bool ).
tff(func_def_156,type,
collect_fun_a_bool: fun_fun_a_bool_bool > fun_fun_a_bool_bool ).
tff(func_def_157,type,
collec1974731493e_bool: fun_fu1430349052l_bool > fun_fu1430349052l_bool ).
tff(func_def_158,type,
collect_fun_int_bool: fun_fu819804446l_bool > fun_fu819804446l_bool ).
tff(func_def_159,type,
collect_fun_nat_bool: fun_fu425979586l_bool > fun_fu425979586l_bool ).
tff(func_def_160,type,
collec707592106l_bool: fun_fu885608257l_bool > fun_fu885608257l_bool ).
tff(func_def_161,type,
collec1613912337l_bool: fun_fu399576434l_bool > fun_fu399576434l_bool ).
tff(func_def_162,type,
collec1409689523l_bool: fun_fu1540142484l_bool > fun_fu1540142484l_bool ).
tff(func_def_163,type,
collec1015864663l_bool: fun_fu814369080l_bool > fun_fu814369080l_bool ).
tff(func_def_164,type,
image_a_a: ( fun_a_a * fun_a_bool ) > fun_a_bool ).
tff(func_def_165,type,
image_a_pname: ( fun_a_pname * fun_a_bool ) > fun_pname_bool ).
tff(func_def_166,type,
image_a_int: ( fun_a_int * fun_a_bool ) > fun_int_bool ).
tff(func_def_167,type,
image_a_nat: ( fun_a_nat * fun_a_bool ) > fun_nat_bool ).
tff(func_def_168,type,
image_a_fun_a_bool: ( fun_a_fun_a_bool * fun_a_bool ) > fun_fun_a_bool_bool ).
tff(func_def_169,type,
image_819518260e_bool: ( fun_a_fun_pname_bool * fun_a_bool ) > fun_fu1430349052l_bool ).
tff(func_def_170,type,
image_a_fun_int_bool: ( fun_a_fun_int_bool * fun_a_bool ) > fun_fu819804446l_bool ).
tff(func_def_171,type,
image_a_fun_nat_bool: ( fun_a_fun_nat_bool * fun_a_bool ) > fun_fu425979586l_bool ).
tff(func_def_172,type,
image_pname_a: ( fun_pname_a * fun_pname_bool ) > fun_a_bool ).
tff(func_def_173,type,
image_pname_pname: ( fun_pname_pname * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_174,type,
image_pname_int: ( fun_pname_int * fun_pname_bool ) > fun_int_bool ).
tff(func_def_175,type,
image_pname_nat: ( fun_pname_nat * fun_pname_bool ) > fun_nat_bool ).
tff(func_def_176,type,
image_112932426a_bool: ( fun_pname_fun_a_bool * fun_pname_bool ) > fun_fun_a_bool_bool ).
tff(func_def_177,type,
image_47868345e_bool: ( fun_pn800050071e_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).
tff(func_def_178,type,
image_1512837979t_bool: ( fun_pn665169337t_bool * fun_pname_bool ) > fun_fu819804446l_bool ).
tff(func_def_179,type,
image_2129980159t_bool: ( fun_pn406123357t_bool * fun_pname_bool ) > fun_fu425979586l_bool ).
tff(func_def_180,type,
image_int_a: ( fun_int_a * fun_int_bool ) > fun_a_bool ).
tff(func_def_181,type,
image_int_pname: ( fun_int_pname * fun_int_bool ) > fun_pname_bool ).
tff(func_def_182,type,
image_int_fun_a_bool: ( fun_int_fun_a_bool * fun_int_bool ) > fun_fun_a_bool_bool ).
tff(func_def_183,type,
image_637364955e_bool: ( fun_in2065004473e_bool * fun_int_bool ) > fun_fu1430349052l_bool ).
tff(func_def_184,type,
image_275383677t_bool: ( fun_int_fun_int_bool * fun_int_bool ) > fun_fu819804446l_bool ).
tff(func_def_185,type,
image_892525857t_bool: ( fun_int_fun_nat_bool * fun_int_bool ) > fun_fu425979586l_bool ).
tff(func_def_186,type,
image_nat_a: ( fun_nat_a * fun_nat_bool ) > fun_a_bool ).
tff(func_def_187,type,
image_nat_pname: ( fun_nat_pname * fun_nat_bool ) > fun_pname_bool ).
tff(func_def_188,type,
image_nat_int: ( fun_nat_int * fun_nat_bool ) > fun_int_bool ).
tff(func_def_189,type,
image_nat_fun_a_bool: ( fun_nat_fun_a_bool * fun_nat_bool ) > fun_fun_a_bool_bool ).
tff(func_def_190,type,
image_1655916159e_bool: ( fun_na936072029e_bool * fun_nat_bool ) > fun_fu1430349052l_bool ).
tff(func_def_191,type,
image_1556378401t_bool: ( fun_nat_fun_int_bool * fun_nat_bool ) > fun_fu819804446l_bool ).
tff(func_def_192,type,
image_26036933t_bool: ( fun_nat_fun_nat_bool * fun_nat_bool ) > fun_fu425979586l_bool ).
tff(func_def_193,type,
image_fun_a_bool_a: ( fun_fun_a_bool_a * fun_fun_a_bool_bool ) > fun_a_bool ).
tff(func_def_194,type,
image_1854862208_pname: ( fun_fun_a_bool_pname * fun_fun_a_bool_bool ) > fun_pname_bool ).
tff(func_def_195,type,
image_fun_a_bool_int: ( fun_fun_a_bool_int * fun_fun_a_bool_bool ) > fun_int_bool ).
tff(func_def_196,type,
image_fun_a_bool_nat: ( fun_fun_a_bool_nat * fun_fun_a_bool_bool ) > fun_nat_bool ).
tff(func_def_197,type,
image_876012084bool_a: ( fun_fun_pname_bool_a * fun_fu1430349052l_bool ) > fun_a_bool ).
tff(func_def_198,type,
image_1283814551_pname: ( fun_fu1499449723_pname * fun_fu1430349052l_bool ) > fun_pname_bool ).
tff(func_def_199,type,
image_41399353ol_int: ( fun_fu1830380701ol_int * fun_fu1430349052l_bool ) > fun_int_bool ).
tff(func_def_200,type,
image_1551609309ol_nat: ( fun_fu1668467777ol_nat * fun_fu1430349052l_bool ) > fun_nat_bool ).
tff(func_def_201,type,
image_fun_int_bool_a: ( fun_fun_int_bool_a * fun_fu819804446l_bool ) > fun_a_bool ).
tff(func_def_202,type,
image_62782965_pname: ( fun_fu953875929_pname * fun_fu819804446l_bool ) > fun_pname_bool ).
tff(func_def_203,type,
image_2069007511ol_int: ( fun_fun_int_bool_int * fun_fu819804446l_bool ) > fun_int_bool ).
tff(func_def_204,type,
image_1431733819ol_nat: ( fun_fun_int_bool_nat * fun_fu819804446l_bool ) > fun_nat_bool ).
tff(func_def_205,type,
image_fun_nat_bool_a: ( fun_fun_nat_bool_a * fun_fu425979586l_bool ) > fun_a_bool ).
tff(func_def_206,type,
image_1921560913_pname: ( fun_fu665170229_pname * fun_fu425979586l_bool ) > fun_pname_bool ).
tff(func_def_207,type,
image_1133522419ol_int: ( fun_fun_nat_bool_int * fun_fu425979586l_bool ) > fun_int_bool ).
tff(func_def_208,type,
image_496248727ol_nat: ( fun_fun_nat_bool_nat * fun_fu425979586l_bool ) > fun_nat_bool ).
tff(func_def_209,type,
insert_a: fun_a_1752562919a_bool ).
tff(func_def_210,type,
insert_pname: fun_pn479984722e_bool ).
tff(func_def_211,type,
insert_int: fun_in719570932t_bool ).
tff(func_def_212,type,
insert_nat: fun_na35521688t_bool ).
tff(func_def_213,type,
insert_fun_a_bool: fun_fu1434634199l_bool ).
tff(func_def_214,type,
insert1325755072e_bool: fun_fu1232732404l_bool ).
tff(func_def_215,type,
insert_fun_int_bool: fun_fu587680722l_bool ).
tff(func_def_216,type,
insert_fun_nat_bool: fun_fu1516990510l_bool ).
tff(func_def_217,type,
the_elem_a: fun_fun_a_bool_a ).
tff(func_def_218,type,
the_elem_int: fun_fun_int_bool_int ).
tff(func_def_219,type,
the_elem_nat: fun_fun_nat_bool_nat ).
tff(func_def_220,type,
fFalse: bool ).
tff(func_def_221,type,
fNot: fun_bool_bool ).
tff(func_def_222,type,
fTrue: bool ).
tff(func_def_223,type,
fconj: fun_bo1549164019l_bool ).
tff(func_def_224,type,
fdisj: fun_bo1549164019l_bool ).
tff(func_def_225,type,
fequal_a: fun_a_fun_a_bool ).
tff(func_def_226,type,
fequal_pname: fun_pn800050071e_bool ).
tff(func_def_227,type,
fequal_int: fun_int_fun_int_bool ).
tff(func_def_228,type,
fequal_nat: fun_nat_fun_nat_bool ).
tff(func_def_229,type,
fequal_fun_a_bool: fun_fu1471507361l_bool ).
tff(func_def_230,type,
fequal533582459e_bool: fun_fu802393907l_bool ).
tff(func_def_231,type,
fequal_fun_int_bool: fun_fu1151772339l_bool ).
tff(func_def_232,type,
fequal_fun_nat_bool: fun_fu1217155507l_bool ).
tff(func_def_233,type,
fimplies: fun_bo1549164019l_bool ).
tff(func_def_234,type,
hAPP_a_a: ( fun_a_a * x_a ) > x_a ).
tff(func_def_235,type,
hAPP_a_bool: ( fun_a_bool * x_a ) > bool ).
tff(func_def_236,type,
hAPP_a_fun_a_a: ( fun_a_fun_a_a * x_a ) > fun_a_a ).
tff(func_def_237,type,
hAPP_a_fun_a_bool: ( fun_a_fun_a_bool * x_a ) > fun_a_bool ).
tff(func_def_238,type,
hAPP_a93125764e_bool: ( fun_a_fun_pname_bool * x_a ) > fun_pname_bool ).
tff(func_def_239,type,
hAPP_a_fun_bool_bool: ( fun_a_fun_bool_bool * x_a ) > fun_bool_bool ).
tff(func_def_240,type,
hAPP_a_fun_int_bool: ( fun_a_fun_int_bool * x_a ) > fun_int_bool ).
tff(func_def_241,type,
hAPP_a85458249l_bool: ( fun_a_1255737515l_bool * x_a ) > fun_fun_a_bool_bool ).
tff(func_def_242,type,
hAPP_a1206381875a_bool: ( fun_a_1752562919a_bool * x_a ) > fun_fu1731003005a_bool ).
tff(func_def_243,type,
hAPP_pname_a: ( fun_pname_a * pname ) > x_a ).
tff(func_def_244,type,
hAPP_pname_pname: ( fun_pname_pname * pname ) > pname ).
tff(func_def_245,type,
hAPP_pname_bool: ( fun_pname_bool * pname ) > bool ).
tff(func_def_246,type,
hAPP_p1534023578a_bool: ( fun_pname_fun_a_bool * pname ) > fun_a_bool ).
tff(func_def_247,type,
hAPP_p1170154830_pname: ( fun_pn1208287926_pname * pname ) > fun_pname_pname ).
tff(func_def_248,type,
hAPP_p61793385e_bool: ( fun_pn800050071e_bool * pname ) > fun_pname_bool ).
tff(func_def_249,type,
hAPP_p393069232l_bool: ( fun_pn250273176l_bool * pname ) > fun_bool_bool ).
tff(func_def_250,type,
hAPP_p338031245l_bool: ( fun_pn422929397l_bool * pname ) > fun_fu1430349052l_bool ).
tff(func_def_251,type,
hAPP_p905327722e_bool: ( fun_pn479984722e_bool * pname ) > fun_fu410713561e_bool ).
tff(func_def_252,type,
hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).
tff(func_def_253,type,
hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).
tff(func_def_254,type,
hAPP_int_a: ( fun_int_a * int ) > x_a ).
tff(func_def_255,type,
hAPP_int_bool: ( fun_int_bool * int ) > bool ).
tff(func_def_256,type,
hAPP_int_int: ( fun_int_int * int ) > int ).
tff(func_def_257,type,
hAPP_int_fun_a_bool: ( fun_int_fun_a_bool * int ) > fun_a_bool ).
tff(func_def_258,type,
hAPP_i7355787e_bool: ( fun_in2065004473e_bool * int ) > fun_pname_bool ).
tff(func_def_259,type,
hAPP_i68813070l_bool: ( fun_in531499254l_bool * int ) > fun_bool_bool ).
tff(func_def_260,type,
hAPP_i1948725293t_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).
tff(func_def_261,type,
hAPP_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).
tff(func_def_262,type,
hAPP_i418383825t_bool: ( fun_int_fun_nat_bool * int ) > fun_nat_bool ).
tff(func_def_263,type,
hAPP_i888906320l_bool: ( fun_in1106722302l_bool * int ) > fun_fun_a_bool_bool ).
tff(func_def_264,type,
hAPP_i1587699435l_bool: ( fun_in711834963l_bool * int ) > fun_fu1430349052l_bool ).
tff(func_def_265,type,
hAPP_i2112223885l_bool: ( fun_in938817141l_bool * int ) > fun_fu819804446l_bool ).
tff(func_def_266,type,
hAPP_i1529485324t_bool: ( fun_in719570932t_bool * int ) > fun_fu554825757t_bool ).
tff(func_def_267,type,
hAPP_i1718399025l_bool: ( fun_in791894553l_bool * int ) > fun_fu425979586l_bool ).
tff(func_def_268,type,
hAPP_nat_bool: ( fun_nat_bool * nat ) > bool ).
tff(func_def_269,type,
hAPP_nat_int: ( fun_nat_int * nat ) > int ).
tff(func_def_270,type,
hAPP_nat_nat: ( fun_nat_nat * nat ) > nat ).
tff(func_def_271,type,
hAPP_nat_fun_a_bool: ( fun_nat_fun_a_bool * nat ) > fun_a_bool ).
tff(func_def_272,type,
hAPP_n1025906991e_bool: ( fun_na936072029e_bool * nat ) > fun_pname_bool ).
tff(func_def_273,type,
hAPP_n1006566506l_bool: ( fun_na1469252690l_bool * nat ) > fun_bool_bool ).
tff(func_def_274,type,
hAPP_n1082236369t_bool: ( fun_nat_fun_int_bool * nat ) > fun_int_bool ).
tff(func_def_275,type,
hAPP_n1699378549t_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).
tff(func_def_276,type,
hAPP_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).
tff(func_def_277,type,
hAPP_n1414589940l_bool: ( fun_na1632405922l_bool * nat ) > fun_fun_a_bool_bool ).
tff(func_def_278,type,
hAPP_n850744903l_bool: ( fun_na2122364079l_bool * nat ) > fun_fu1430349052l_bool ).
tff(func_def_279,type,
hAPP_n609083369l_bool: ( fun_na1583160273l_bool * nat ) > fun_fu819804446l_bool ).
tff(func_def_280,type,
hAPP_n215258509l_bool: ( fun_na1436237685l_bool * nat ) > fun_fu425979586l_bool ).
tff(func_def_281,type,
hAPP_n1512601776t_bool: ( fun_na35521688t_bool * nat ) > fun_fu821463397t_bool ).
tff(func_def_282,type,
hAPP_fun_a_bool_a: ( fun_fun_a_bool_a * fun_a_bool ) > x_a ).
tff(func_def_283,type,
hAPP_fun_a_bool_bool: ( fun_fun_a_bool_bool * fun_a_bool ) > bool ).
tff(func_def_284,type,
hAPP_fun_a_bool_nat: ( fun_fun_a_bool_nat * fun_a_bool ) > nat ).
tff(func_def_285,type,
hAPP_f2050579477a_bool: ( fun_fu1731003005a_bool * fun_a_bool ) > fun_a_bool ).
tff(func_def_286,type,
hAPP_f1038053735a_bool: ( fun_fu868269973a_bool * fun_a_bool ) > fun_a_fun_a_bool ).
tff(func_def_287,type,
hAPP_f198738859l_bool: ( fun_fu554186387l_bool * fun_a_bool ) > fun_bool_bool ).
tff(func_def_288,type,
hAPP_f1812805200t_bool: ( fun_fu859530750t_bool * fun_a_bool ) > fun_int_bool ).
tff(func_def_289,type,
hAPP_f282463732t_bool: ( fun_fu600484770t_bool * fun_a_bool ) > fun_nat_bool ).
tff(func_def_290,type,
hAPP_f1631501043l_bool: ( fun_fu1471507361l_bool * fun_a_bool ) > fun_fun_a_bool_bool ).
tff(func_def_291,type,
hAPP_f1791771145a_bool: ( fun_fu1663643505a_bool * fun_a_bool ) > fun_fu1731003005a_bool ).
tff(func_def_292,type,
hAPP_f285962445l_bool: ( fun_fu386216885l_bool * fun_a_bool ) > fun_fu885608257l_bool ).
tff(func_def_293,type,
hAPP_f1531278575l_bool: ( fun_fu1434634199l_bool * fun_a_bool ) > fun_fu911136611l_bool ).
tff(func_def_294,type,
hAPP_f1297739591_pname: ( fun_fu1499449723_pname * fun_pname_bool ) > pname ).
tff(func_def_295,type,
hAPP_f1664156314l_bool: ( fun_fu1430349052l_bool * fun_pname_bool ) > bool ).
tff(func_def_296,type,
hAPP_f921600141ol_nat: ( fun_fu1668467777ol_nat * fun_pname_bool ) > nat ).
tff(func_def_297,type,
hAPP_f759274231e_bool: ( fun_fu410713561e_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_298,type,
hAPP_f1476298914l_bool: ( fun_fu31783638l_bool * fun_pname_bool ) > fun_bool_bool ).
tff(func_def_299,type,
hAPP_f449020825t_bool: ( fun_fu1159356667t_bool * fun_pname_bool ) > fun_int_bool ).
tff(func_def_300,type,
hAPP_f1066163005t_bool: ( fun_fu900310687t_bool * fun_pname_bool ) > fun_nat_bool ).
tff(func_def_301,type,
hAPP_f434788991l_bool: ( fun_fu802393907l_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).
tff(func_def_302,type,
hAPP_f1388330588e_bool: ( fun_fu2101097872e_bool * fun_pname_bool ) > fun_fu410713561e_bool ).
tff(func_def_303,type,
hAPP_f556039215l_bool: ( fun_fu931343505l_bool * fun_pname_bool ) > fun_fu399576434l_bool ).
tff(func_def_304,type,
hAPP_f1320879424l_bool: ( fun_fu1232732404l_bool * fun_pname_bool ) > fun_fu2087345469l_bool ).
tff(func_def_305,type,
hAPP_f448129468l_bool: ( fun_fu819804446l_bool * fun_int_bool ) > bool ).
tff(func_def_306,type,
hAPP_f1594865479ol_int: ( fun_fun_int_bool_int * fun_int_bool ) > int ).
tff(func_def_307,type,
hAPP_f957591787ol_nat: ( fun_fun_int_bool_nat * fun_int_bool ) > nat ).
tff(func_def_308,type,
hAPP_f1721100032l_bool: ( fun_fu989146164l_bool * fun_int_bool ) > fun_bool_bool ).
tff(func_def_309,type,
hAPP_f1805168059t_bool: ( fun_fu554825757t_bool * fun_int_bool ) > fun_int_bool ).
tff(func_def_310,type,
hAPP_f1048215610t_bool: ( fun_fu380257692t_bool * fun_int_bool ) > fun_int_fun_int_bool ).
tff(func_def_311,type,
hAPP_f274826591t_bool: ( fun_fu295779777t_bool * fun_int_bool ) > fun_nat_bool ).
tff(func_def_312,type,
hAPP_f284875647l_bool: ( fun_fu1151772339l_bool * fun_int_bool ) > fun_fu819804446l_bool ).
tff(func_def_313,type,
hAPP_f1223193598t_bool: ( fun_fu1075512626t_bool * fun_int_bool ) > fun_fu554825757t_bool ).
tff(func_def_314,type,
hAPP_f628503027l_bool: ( fun_fu1637550549l_bool * fun_int_bool ) > fun_fu1540142484l_bool ).
tff(func_def_315,type,
hAPP_f587666462l_bool: ( fun_fu587680722l_bool * fun_int_bool ) > fun_fu1070826941l_bool ).
tff(func_def_316,type,
hAPP_f54304608l_bool: ( fun_fu425979586l_bool * fun_nat_bool ) > bool ).
tff(func_def_317,type,
hAPP_f22106695ol_nat: ( fun_fun_nat_bool_nat * fun_nat_bool ) > nat ).
tff(func_def_318,type,
hAPP_f1748468828l_bool: ( fun_fu1016514960l_bool * fun_nat_bool ) > fun_bool_bool ).
tff(func_def_319,type,
hAPP_f183368031t_bool: ( fun_fu1080509377t_bool * fun_nat_bool ) > fun_int_bool ).
tff(func_def_320,type,
hAPP_f800510211t_bool: ( fun_fu821463397t_bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_321,type,
hAPP_f1570313510t_bool: ( fun_fu429110920t_bool * fun_nat_bool ) > fun_nat_fun_nat_bool ).
tff(func_def_322,type,
hAPP_f103356543l_bool: ( fun_fu1217155507l_bool * fun_nat_bool ) > fun_fu425979586l_bool ).
tff(func_def_323,type,
hAPP_f1730770594t_bool: ( fun_fu915923926t_bool * fun_nat_bool ) > fun_fu821463397t_bool ).
tff(func_def_324,type,
hAPP_f1951378235l_bool: ( fun_fu1436348701l_bool * fun_nat_bool ) > fun_fu814369080l_bool ).
tff(func_def_325,type,
hAPP_f633452666l_bool: ( fun_fu1516990510l_bool * fun_nat_bool ) > fun_fu616551101l_bool ).
tff(func_def_326,type,
hAPP_f621171935l_bool: ( fun_fu885608257l_bool * fun_fun_a_bool_bool ) > bool ).
tff(func_def_327,type,
hAPP_f2009550088ol_nat: ( fun_fu2020802748ol_nat * fun_fun_a_bool_bool ) > nat ).
tff(func_def_328,type,
hAPP_f2117159681l_bool: ( fun_fu911136611l_bool * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).
tff(func_def_329,type,
hAPP_f1434722111l_bool: ( fun_fu418465139l_bool * fun_fun_a_bool_bool ) > fun_fu885608257l_bool ).
tff(func_def_330,type,
hAPP_f1935102916l_bool: ( fun_fu399576434l_bool * fun_fu1430349052l_bool ) > bool ).
tff(func_def_331,type,
hAPP_f55526627ol_nat: ( fun_fu1730389579ol_nat * fun_fu1430349052l_bool ) > nat ).
tff(func_def_332,type,
hAPP_f559147733l_bool: ( fun_fu2087345469l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_333,type,
hAPP_f510955609l_bool: ( fun_fu1911931399l_bool * fun_fu1430349052l_bool ) > fun_fu399576434l_bool ).
tff(func_def_334,type,
hAPP_f215623910l_bool: ( fun_fu1540142484l_bool * fun_fu819804446l_bool ) > bool ).
tff(func_def_335,type,
hAPP_f521865025ol_nat: ( fun_fu236049833ol_nat * fun_fu819804446l_bool ) > nat ).
tff(func_def_336,type,
hAPP_f1948010709l_bool: ( fun_fu1070826941l_bool * fun_fu819804446l_bool ) > fun_fu819804446l_bool ).
tff(func_def_337,type,
hAPP_f317860125l_bool: ( fun_fu209342027l_bool * fun_fu819804446l_bool ) > fun_fu1540142484l_bool ).
tff(func_def_338,type,
hAPP_f1637334154l_bool: ( fun_fu814369080l_bool * fun_fu425979586l_bool ) > bool ).
tff(func_def_339,type,
hAPP_f696928925ol_nat: ( fun_fu411113733ol_nat * fun_fu425979586l_bool ) > nat ).
tff(func_def_340,type,
hAPP_f1246832597l_bool: ( fun_fu616551101l_bool * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).
tff(func_def_341,type,
hAPP_f1772781669l_bool: ( fun_fu140186515l_bool * fun_fu425979586l_bool ) > fun_fu814369080l_bool ).
tff(func_def_342,type,
hAPP_f292226953l_bool: ( fun_fu255076663l_bool * fun_fu885608257l_bool ) > bool ).
tff(func_def_343,type,
hAPP_f389811538l_bool: ( fun_fu1438281908l_bool * fun_fu399576434l_bool ) > bool ).
tff(func_def_344,type,
hAPP_f1593524852l_bool: ( fun_fu717296342l_bool * fun_fu1540142484l_bool ) > bool ).
tff(func_def_345,type,
hAPP_f937997336l_bool: ( fun_fu61768826l_bool * fun_fu814369080l_bool ) > bool ).
tff(func_def_346,type,
member_a: fun_a_1255737515l_bool ).
tff(func_def_347,type,
member_pname: fun_pn422929397l_bool ).
tff(func_def_348,type,
member_int: fun_in938817141l_bool ).
tff(func_def_349,type,
member_nat: fun_na1436237685l_bool ).
tff(func_def_350,type,
member_fun_a_bool: fun_fu386216885l_bool ).
tff(func_def_351,type,
member799430823e_bool: fun_fu931343505l_bool ).
tff(func_def_352,type,
member_fun_int_bool: fun_fu1637550549l_bool ).
tff(func_def_353,type,
member_fun_nat_bool: fun_fu1436348701l_bool ).
tff(func_def_354,type,
g: fun_a_bool ).
tff(func_def_355,type,
p: fun_a_bool > fun_fun_a_bool_bool ).
tff(func_def_356,type,
u: fun_pname_bool ).
tff(func_def_357,type,
mgt: com > x_a ).
tff(func_def_358,type,
mgt_call: fun_pname_a ).
tff(func_def_359,type,
na: nat ).
tff(func_def_360,type,
pn: pname ).
tff(func_def_361,type,
wt: com > bool ).
tff(func_def_362,type,
sK0: ( fun_a_bool * fun_pname_a * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_363,type,
sK1: ( fun_pname_a * fun_pname_bool * fun_a_bool ) > fun_pname_bool ).
tff(func_def_364,type,
sK2: nat > nat ).
tff(func_def_365,type,
sK3: fun_nat_nat > nat ).
tff(func_def_366,type,
sK4: ( fun_nat_bool * nat * nat ) > nat ).
tff(func_def_367,type,
sK5: ( fun_nat_bool * nat * nat ) > nat ).
tff(func_def_368,type,
sK6: fun_nat_bool > nat ).
tff(func_def_369,type,
sK7: fun_fun_a_bool_bool > x_a ).
tff(func_def_370,type,
sK8: fun_fun_a_bool_bool > fun_a_bool ).
tff(func_def_371,type,
sK9: fun_fun_a_bool_bool > x_a ).
tff(func_def_372,type,
sK10: fun_a_bool > x_a ).
tff(func_def_373,type,
sK11: fun_a_bool > fun_a_bool ).
tff(func_def_374,type,
sK12: fun_fun_a_bool_bool > x_a ).
tff(func_def_375,type,
sK13: fun_fun_a_bool_bool > fun_a_bool ).
tff(func_def_376,type,
sK14: ( fun_fun_a_bool_bool * fun_a_bool ) > x_a ).
tff(func_def_377,type,
sK15: ( fun_fun_a_bool_bool * fun_a_bool ) > fun_a_bool ).
tff(func_def_378,type,
sK16: fun_a_bool > x_a ).
tff(func_def_379,type,
sK17: fun_a_bool > x_a ).
tff(func_def_380,type,
sK18: ( fun_a_bool * fun_a_bool ) > x_a ).
tff(func_def_381,type,
sK19: ( fun_pname_a * fun_a_bool * fun_pname_bool ) > pname ).
tff(func_def_382,type,
sK20: ( x_a * fun_pname_a * fun_pname_bool ) > pname ).
tff(func_def_383,type,
sK21: ( x_a * fun_pname_a * fun_pname_bool ) > pname ).
tff(pred_def_1,type,
hBOOL: bool > $o ).
tff(pred_def_2,type,
sP22: fun_pname_bool > $o ).
tff(pred_def_3,type,
sP23: fun_a_bool > $o ).
tff(pred_def_4,type,
sP24: fun_pname_bool > $o ).
tff(pred_def_5,type,
sP25: fun_a_bool > $o ).
tff(pred_def_6,type,
sP26: nat > $o ).
tff(pred_def_7,type,
sP27: nat > $o ).
tff(pred_def_8,type,
sP28: nat > $o ).
tff(pred_def_9,type,
sP29: fun_a_bool > $o ).
tff(pred_def_10,type,
sP30: fun_a_bool > $o ).
tff(pred_def_11,type,
sP31: fun_a_bool > $o ).
tff(pred_def_12,type,
sP32: fun_a_bool > $o ).
tff(pred_def_13,type,
sP33: fun_a_bool > $o ).
tff(f437,axiom,
! [X0: x_a,X1: fun_pname_a,X2: pname,X3: fun_pname_bool] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
=> ( ( X0 = hAPP_pname_a(X1,X2) )
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(X1,X3))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_436_rev__image__eqI) ).
tff(f454,axiom,
! [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_a85458249l_bool(member_a,X0),X2))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_453_insert__subset) ).
tff(f1304,axiom,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(f1307,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
tff(f1309,conjecture,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).
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,[status(cth)],[f1309]) ).
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(f1468,plain,
! [X0: x_a,X1: fun_pname_a,X2: pname,X3: fun_pname_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(X1,X3)))
| ( hAPP_pname_a(X1,X2) != X0 )
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
inference(ennf_transformation,[],[f437]) ).
tff(f1469,plain,
! [X0: x_a,X1: fun_pname_a,X2: pname,X3: fun_pname_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(X1,X3)))
| ( hAPP_pname_a(X1,X2) != X0 )
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
inference(flattening,[],[f1468]) ).
tff(f1531,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_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,X1),X2)) )
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X0),X1)),X2)) ) ),
inference(nnf_transformation,[],[f454]) ).
tff(f1532,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_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,X1),X2)) )
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X0),X1)),X2)) ) ),
inference(flattening,[],[f1531]) ).
tff(f1543,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(f1546,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(cnf_transformation,[],[f1307]) ).
tff(f1548,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(f1749,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_a85458249l_bool(member_a,X0),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) ),
inference(cnf_transformation,[],[f1532]) ).
tff(f1771,plain,
! [X2: pname,X3: fun_pname_bool,X0: x_a,X1: fun_pname_a] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(X1,X3)))
| ( hAPP_pname_a(X1,X2) != X0 )
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
inference(cnf_transformation,[],[f1469]) ).
tff(f1844,plain,
! [X2: pname,X3: fun_pname_bool,X1: fun_pname_a] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X1,X2)),image_pname_a(X1,X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
inference(equality_resolution,[],[f1771]) ).
tff(f1847,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),image_pname_a(mgt_call,u)))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))) ),
inference(resolution,[],[f1548,f1749]) ).
tff(f1865,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(forward_subsumption_resolution,[],[f1847,f1543]) ).
tff(f1869,plain,
~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(resolution,[],[f1865,f1844]) ).
tff(f1872,plain,
$false,
inference(forward_subsumption_resolution,[],[f1869,f1546]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW473_3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n011.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 14:06:46 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.35/0.90 % (3397996)Detected formulas, will run a generic FOF schedule.
% 2.35/0.90 % (3398007)dis-21_1_sil=8000:lcm=predicate:random_seed=7639534:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.35/0.90 % (3398007)Instruction limit reached!
% 2.35/0.90 % (3398007)------------------------------
% 2.35/0.90 % (3398007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.35/0.90 % (3398007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.90 % (3398007)CaDiCaL version: 2.1.3
% 2.35/0.90 % (3398007)Termination reason: Instruction limit
% 2.35/0.90 % (3398007)Termination phase: Property scanning
% 2.35/0.90 % (3398007)Time elapsed: 0.032 s
% 2.35/0.90 % (3398007)Peak memory usage: 89 MB
% 2.35/0.90 % (3398007)Instructions burned: 132 (million)
% 2.35/0.90 % (3398004)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2787722520:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.35/0.90 % (3398001)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3641890252:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.35/0.90 % (3398003)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3928183116:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.35/0.90 % (3398006)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3079816466:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.35/0.90 % (3398005)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2737076736:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.35/0.90 % (3398002)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=427612665:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.35/0.90 % (3398004)First to succeed.
% 2.35/0.90 % (3398004)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3397996"
% 2.35/0.90 % (3398006)Instruction limit reached!
% 2.35/0.90 % (3398006)------------------------------
% 2.35/0.90 % (3398006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.35/0.90 % (3398006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.90 % (3398006)CaDiCaL version: 2.1.3
% 2.35/0.90 % (3398006)Termination reason: Instruction limit
% 2.35/0.90 % (3398006)Termination phase: Saturation
% 2.35/0.90 % (3398006)Time elapsed: 0.064 s
% 2.35/0.90 % (3398006)Peak memory usage: 90 MB
% 2.35/0.90 % (3398006)Instructions burned: 139 (million)
% 2.35/0.90 % (3398005)Instruction limit reached!
% 2.35/0.90 % (3398005)------------------------------
% 2.35/0.90 % (3398005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.35/0.90 % (3398005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.90 % (3398005)CaDiCaL version: 2.1.3
% 2.35/0.90 % (3398005)Termination reason: Instruction limit
% 2.35/0.90 % (3398005)Termination phase: Saturation
% 2.35/0.90 % (3398005)Time elapsed: 0.069 s
% 2.35/0.90 % (3398005)Peak memory usage: 90 MB
% 2.35/0.90 % (3398005)Instructions burned: 120 (million)
% 2.35/0.90 % (3398009)lrs+10_1_sil=8000:sp=occurrence:random_seed=2449725437:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.35/0.90 % (3398009)Instruction limit reached!
% 2.35/0.90 % (3398009)------------------------------
% 2.35/0.90 % (3398009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.35/0.90 % (3398009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.90 % (3398009)CaDiCaL version: 2.1.3
% 2.35/0.90 % (3398009)Termination reason: Instruction limit
% 2.35/0.90 % (3398009)Termination phase: Saturation
% 2.35/0.90 % (3398009)Time elapsed: 0.096 s
% 2.35/0.90 % (3398009)Peak memory usage: 92 MB
% 2.35/0.90 % (3398009)Instructions burned: 286 (million)
% 2.35/0.90 % (3398017)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1317762954:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.35/0.90 % (3398016)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1436797858:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.35/0.90 % (3398016)Also succeeded, but the first one will report.
% 2.35/0.90 % (3398004)Refutation found. Thanks to Tanya!
% 2.35/0.90 % SZS status Theorem for theBenchmark
% 2.35/0.90 % SZS output start Proof for theBenchmark
% See solution above
% 3.62/1.09 % (3398004)------------------------------
% 3.62/1.09 % (3398004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.09 % (3398004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.09 % (3398004)CaDiCaL version: 2.1.3
% 3.62/1.09 % (3398004)Termination reason: Refutation
% 3.62/1.09 % (3398004)Time elapsed: 0.024 s
% 3.62/1.09 % (3398004)Peak memory usage: 90 MB
% 3.62/1.09 % (3398004)Instructions burned: 39 (million)
% 3.62/1.09 % (3398004)------------------------------
% 3.62/1.09 % (3398004)------------------------------
% 3.62/1.09 % (3397996)Success in time 0.485 s
% 3.62/1.09 % Vampire exiting
%------------------------------------------------------------------------------