%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SCT171_3 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 03:43:26 EDT 2024

% Result   : Theorem 0.77s 0.90s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :  808
% Syntax   : Number of formulae    :  828 (  20 unt; 800 typ;   0 def)
%            Number of atoms       :   38 (   5 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   26 (  16   ~;   8   |;   1   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :   13 (   3 avg)
%            Number of types       :  295 ( 294 usr)
%            Number of type conns  :  657 ( 334   >; 323   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :  502 ( 502 usr; 172 con; 0-6 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    arrow_1893660431le_alt: $tType ).

tff(type_def_6,type,
    arrow_856714788e_indi: $tType ).

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

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

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

tff(type_def_10,type,
    fun_Ar17477381t_bool: $tType ).

tff(type_def_11,type,
    fun_Ar331856045t_bool: $tType ).

tff(type_def_12,type,
    fun_Ar1995913199l_bool: $tType ).

tff(type_def_13,type,
    fun_Ar797671557t_bool: $tType ).

tff(type_def_14,type,
    fun_Ar2121501495le_alt: $tType ).

tff(type_def_15,type,
    fun_Ar1753411852t_bool: $tType ).

tff(type_def_16,type,
    fun_Ar1623257374t_bool: $tType ).

tff(type_def_17,type,
    fun_Ar339057223l_bool: $tType ).

tff(type_def_18,type,
    fun_Ar636018671t_bool: $tType ).

tff(type_def_19,type,
    fun_Ar1573071255t_bool: $tType ).

tff(type_def_20,type,
    fun_Ar245737999le_alt: $tType ).

tff(type_def_21,type,
    fun_Ar1809396326i_bool: $tType ).

tff(type_def_22,type,
    fun_Ar671024215di_nat: $tType ).

tff(type_def_23,type,
    fun_Ar290235730t_bool: $tType ).

tff(type_def_24,type,
    fun_Ar64685412t_bool: $tType ).

tff(type_def_25,type,
    fun_Ar624010239t_bool: $tType ).

tff(type_def_26,type,
    fun_Ar603939593t_bool: $tType ).

tff(type_def_27,type,
    fun_Ar1047186533l_bool: $tType ).

tff(type_def_28,type,
    fun_Ar1998664965l_bool: $tType ).

tff(type_def_29,type,
    fun_Ar286530093t_bool: $tType ).

tff(type_def_30,type,
    fun_Ar1321653811l_bool: $tType ).

tff(type_def_31,type,
    fun_Ar1474557608l_bool: $tType ).

tff(type_def_32,type,
    fun_Ar535288606t_bool: $tType ).

tff(type_def_33,type,
    fun_Ar516759882t_bool: $tType ).

tff(type_def_34,type,
    fun_Ar274636406t_bool: $tType ).

tff(type_def_35,type,
    fun_Ar338949104le_alt: $tType ).

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

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

tff(type_def_38,type,
    fun_bo1933551930i_bool: $tType ).

tff(type_def_39,type,
    fun_bo1476023096t_bool: $tType ).

tff(type_def_40,type,
    fun_bo1549164019l_bool: $tType ).

tff(type_def_41,type,
    fun_bo1570548802t_bool: $tType ).

tff(type_def_42,type,
    fun_bo1300789993t_bool: $tType ).

tff(type_def_43,type,
    fun_bo2107365004l_bool: $tType ).

tff(type_def_44,type,
    fun_bo559790694t_bool: $tType ).

tff(type_def_45,type,
    fun_bo492988759l_bool: $tType ).

tff(type_def_46,type,
    fun_bo1445676730l_bool: $tType ).

tff(type_def_47,type,
    fun_bo377688929l_bool: $tType ).

tff(type_def_48,type,
    fun_bo1945492389t_bool: $tType ).

tff(type_def_49,type,
    fun_bo1431306493t_bool: $tType ).

tff(type_def_50,type,
    fun_bo1682907689le_alt: $tType ).

tff(type_def_51,type,
    fun_na699243463e_indi: $tType ).

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

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

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

tff(type_def_55,type,
    fun_na300967376t_bool: $tType ).

tff(type_def_56,type,
    fun_na2037635353i_bool: $tType ).

tff(type_def_57,type,
    fun_na1469252690l_bool: $tType ).

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

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

tff(type_def_60,type,
    fun_na1041622088t_bool: $tType ).

tff(type_def_61,type,
    fun_na6909291l_bool: $tType ).

tff(type_def_62,type,
    fun_na1436237685l_bool: $tType ).

tff(type_def_63,type,
    fun_na138495129l_bool: $tType ).

tff(type_def_64,type,
    fun_na144630978l_bool: $tType ).

tff(type_def_65,type,
    fun_na998785244t_bool: $tType ).

tff(type_def_66,type,
    fun_Pr1643180309t_bool: $tType ).

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

tff(type_def_68,type,
    fun_Pr1531194158t_bool: $tType ).

tff(type_def_69,type,
    fun_Pr1029464120t_bool: $tType ).

tff(type_def_70,type,
    fun_Pr537467670l_bool: $tType ).

tff(type_def_71,type,
    fun_Pr2016729180t_bool: $tType ).

tff(type_def_72,type,
    fun_Pr1863373635l_bool: $tType ).

tff(type_def_73,type,
    fun_Pr151242052l_bool: $tType ).

tff(type_def_74,type,
    fun_Pr1791323223l_bool: $tType ).

tff(type_def_75,type,
    fun_Pr1887398791t_bool: $tType ).

tff(type_def_76,type,
    fun_Pr2090226719le_alt: $tType ).

tff(type_def_77,type,
    fun_fu1618786247l_bool: $tType ).

tff(type_def_78,type,
    fun_fu1085384691l_bool: $tType ).

tff(type_def_79,type,
    fun_fu573468015l_bool: $tType ).

tff(type_def_80,type,
    fun_fu1677555470ol_nat: $tType ).

tff(type_def_81,type,
    fun_fu1869722514t_bool: $tType ).

tff(type_def_82,type,
    fun_fu625013235l_bool: $tType ).

tff(type_def_83,type,
    fun_fu596987971t_bool: $tType ).

tff(type_def_84,type,
    fun_fu263774347l_bool: $tType ).

tff(type_def_85,type,
    fun_fu696673523t_bool: $tType ).

tff(type_def_86,type,
    fun_fu91004995t_bool: $tType ).

tff(type_def_87,type,
    fun_fu1572237755l_bool: $tType ).

tff(type_def_88,type,
    fun_fu844176604l_bool: $tType ).

tff(type_def_89,type,
    fun_fu1603738721ol_nat: $tType ).

tff(type_def_90,type,
    fun_fu1712056765i_bool: $tType ).

tff(type_def_91,type,
    fun_fu1821795357t_bool: $tType ).

tff(type_def_92,type,
    fun_fu1254370943t_bool: $tType ).

tff(type_def_93,type,
    fun_fu591186160i_bool: $tType ).

tff(type_def_94,type,
    fun_fu924966107l_bool: $tType ).

tff(type_def_95,type,
    fun_fu2005129568i_bool: $tType ).

tff(type_def_96,type,
    fun_fu1858742706i_bool: $tType ).

tff(type_def_97,type,
    fun_fu2036492305i_bool: $tType ).

tff(type_def_98,type,
    fun_fu857388591i_bool: $tType ).

tff(type_def_99,type,
    fun_fu2139962393t_bool: $tType ).

tff(type_def_100,type,
    fun_fu1372829539t_bool: $tType ).

tff(type_def_101,type,
    fun_fu1367082059l_bool: $tType ).

tff(type_def_102,type,
    fun_fu548876995t_bool: $tType ).

tff(type_def_103,type,
    fun_fu2128130023t_bool: $tType ).

tff(type_def_104,type,
    fun_fu1771585781l_bool: $tType ).

tff(type_def_105,type,
    fun_fu846523317l_bool: $tType ).

tff(type_def_106,type,
    fun_fu1610971917i_bool: $tType ).

tff(type_def_107,type,
    fun_fu2144981539l_bool: $tType ).

tff(type_def_108,type,
    fun_fu1072826421l_bool: $tType ).

tff(type_def_109,type,
    fun_fu2030607631t_bool: $tType ).

tff(type_def_110,type,
    fun_fu205223783t_bool: $tType ).

tff(type_def_111,type,
    fun_fu1929591039e_indi: $tType ).

tff(type_def_112,type,
    fun_fu3835832l_bool: $tType ).

tff(type_def_113,type,
    fun_fu1023022254t_unit: $tType ).

tff(type_def_114,type,
    fun_fu223278561i_bool: $tType ).

tff(type_def_115,type,
    fun_fu1427663149t_bool: $tType ).

tff(type_def_116,type,
    fun_fu1896276031t_bool: $tType ).

tff(type_def_117,type,
    fun_fu419698981t_bool: $tType ).

tff(type_def_118,type,
    fun_fu1037963345t_bool: $tType ).

tff(type_def_119,type,
    fun_fu916327706l_bool: $tType ).

tff(type_def_120,type,
    fun_fu1734317328t_bool: $tType ).

tff(type_def_121,type,
    fun_fu361117961l_bool: $tType ).

tff(type_def_122,type,
    fun_fu1863781882l_bool: $tType ).

tff(type_def_123,type,
    fun_fu2114379172t_bool: $tType ).

tff(type_def_124,type,
    fun_fu802339430t_bool: $tType ).

tff(type_def_125,type,
    fun_fu2141985013l_bool: $tType ).

tff(type_def_126,type,
    fun_fu1255657237l_bool: $tType ).

tff(type_def_127,type,
    fun_fu1932307120l_bool: $tType ).

tff(type_def_128,type,
    fun_fu2010474066l_bool: $tType ).

tff(type_def_129,type,
    fun_fu1393819981l_bool: $tType ).

tff(type_def_130,type,
    fun_fu1185305252l_bool: $tType ).

tff(type_def_131,type,
    fun_fu1829593041l_bool: $tType ).

tff(type_def_132,type,
    fun_fu459284641l_bool: $tType ).

tff(type_def_133,type,
    fun_fu429484960t_bool: $tType ).

tff(type_def_134,type,
    fun_fu1531935961l_bool: $tType ).

tff(type_def_135,type,
    fun_fu625915566l_bool: $tType ).

tff(type_def_136,type,
    fun_fu302299893l_bool: $tType ).

tff(type_def_137,type,
    fun_fu962836700l_bool: $tType ).

tff(type_def_138,type,
    fun_fu1407717749l_bool: $tType ).

tff(type_def_139,type,
    fun_fu1618772927l_bool: $tType ).

tff(type_def_140,type,
    fun_fu827796887l_bool: $tType ).

tff(type_def_141,type,
    fun_fu1168191263t_bool: $tType ).

tff(type_def_142,type,
    fun_fu662095797l_bool: $tType ).

tff(type_def_143,type,
    fun_fu902912905i_bool: $tType ).

tff(type_def_144,type,
    fun_fu1544203051l_bool: $tType ).

tff(type_def_145,type,
    fun_fu425979586l_bool: $tType ).

tff(type_def_146,type,
    fun_fun_nat_bool_nat: $tType ).

tff(type_def_147,type,
    fun_fu221658642t_bool: $tType ).

tff(type_def_148,type,
    fun_fu1415967063i_bool: $tType ).

tff(type_def_149,type,
    fun_fu191830394t_bool: $tType ).

tff(type_def_150,type,
    fun_fu1094602547t_bool: $tType ).

tff(type_def_151,type,
    fun_fu821463397t_bool: $tType ).

tff(type_def_152,type,
    fun_fu2104074051l_bool: $tType ).

tff(type_def_153,type,
    fun_fu1096920966t_bool: $tType ).

tff(type_def_154,type,
    fun_fu613111337t_bool: $tType ).

tff(type_def_155,type,
    fun_fu138597289l_bool: $tType ).

tff(type_def_156,type,
    fun_fu1217155507l_bool: $tType ).

tff(type_def_157,type,
    fun_fu1927280855l_bool: $tType ).

tff(type_def_158,type,
    fun_fu1436348701l_bool: $tType ).

tff(type_def_159,type,
    fun_fu1182412548l_bool: $tType ).

tff(type_def_160,type,
    fun_fu1778022682t_bool: $tType ).

tff(type_def_161,type,
    fun_fu717290361t_bool: $tType ).

tff(type_def_162,type,
    fun_fu1585362869l_bool: $tType ).

tff(type_def_163,type,
    fun_fu1771765432t_bool: $tType ).

tff(type_def_164,type,
    fun_fu1028680969l_bool: $tType ).

tff(type_def_165,type,
    fun_fu1733046955t_bool: $tType ).

tff(type_def_166,type,
    fun_fu522653757at_nat: $tType ).

tff(type_def_167,type,
    fun_fu80187629t_bool: $tType ).

tff(type_def_168,type,
    fun_fu309829899l_bool: $tType ).

tff(type_def_169,type,
    fun_fu572628082ol_nat: $tType ).

tff(type_def_170,type,
    fun_fu988033326t_bool: $tType ).

tff(type_def_171,type,
    fun_fu26755632t_bool: $tType ).

tff(type_def_172,type,
    fun_fu391017725t_bool: $tType ).

tff(type_def_173,type,
    fun_fu1463347262t_bool: $tType ).

tff(type_def_174,type,
    fun_fu43485241l_bool: $tType ).

tff(type_def_175,type,
    fun_fu1250976912t_bool: $tType ).

tff(type_def_176,type,
    fun_fu1093357393t_bool: $tType ).

tff(type_def_177,type,
    fun_fu32501645t_bool: $tType ).

tff(type_def_178,type,
    fun_fu1108851754t_bool: $tType ).

tff(type_def_179,type,
    fun_fu486305773l_bool: $tType ).

tff(type_def_180,type,
    fun_fu1638321572l_bool: $tType ).

tff(type_def_181,type,
    fun_fu1172193141l_bool: $tType ).

tff(type_def_182,type,
    fun_fu504370642l_bool: $tType ).

tff(type_def_183,type,
    fun_fu1327602165l_bool: $tType ).

tff(type_def_184,type,
    fun_fu1110306633l_bool: $tType ).

tff(type_def_185,type,
    fun_fu1838150827l_bool: $tType ).

tff(type_def_186,type,
    fun_fu524263445t_bool: $tType ).

tff(type_def_187,type,
    fun_fu323675445l_bool: $tType ).

tff(type_def_188,type,
    fun_fu672155663l_bool: $tType ).

tff(type_def_189,type,
    fun_fu1464218807l_bool: $tType ).

tff(type_def_190,type,
    fun_fu1108528357l_bool: $tType ).

tff(type_def_191,type,
    fun_fu1864062453i_bool: $tType ).

tff(type_def_192,type,
    fun_fu1607936949l_bool: $tType ).

tff(type_def_193,type,
    fun_fu1370139438l_bool: $tType ).

tff(type_def_194,type,
    fun_fu777705871ol_nat: $tType ).

tff(type_def_195,type,
    fun_fu1006882262l_bool: $tType ).

tff(type_def_196,type,
    fun_fu146711773l_bool: $tType ).

tff(type_def_197,type,
    fun_fu1078872017t_bool: $tType ).

tff(type_def_198,type,
    fun_fu835523175l_bool: $tType ).

tff(type_def_199,type,
    fun_fu973465149l_bool: $tType ).

tff(type_def_200,type,
    fun_fu1785284735l_bool: $tType ).

tff(type_def_201,type,
    fun_fu2080348917l_bool: $tType ).

tff(type_def_202,type,
    fun_fu1318713124t_bool: $tType ).

tff(type_def_203,type,
    fun_fu1109942133l_bool: $tType ).

tff(type_def_204,type,
    fun_fu1741788849l_bool: $tType ).

tff(type_def_205,type,
    fun_fu748153389e_indi: $tType ).

tff(type_def_206,type,
    fun_fu2098777574l_bool: $tType ).

tff(type_def_207,type,
    fun_fu1480298716t_unit: $tType ).

tff(type_def_208,type,
    fun_fu2109152051i_bool: $tType ).

tff(type_def_209,type,
    fun_fu1522163052l_bool: $tType ).

tff(type_def_210,type,
    fun_fu1143287650t_bool: $tType ).

tff(type_def_211,type,
    fun_fu1383920485l_bool: $tType ).

tff(type_def_212,type,
    fun_fu762833832l_bool: $tType ).

tff(type_def_213,type,
    fun_fu1392295702l_bool: $tType ).

tff(type_def_214,type,
    fun_fu500302576l_bool: $tType ).

tff(type_def_215,type,
    fun_fu1489407006l_bool: $tType ).

tff(type_def_216,type,
    fun_fu422653621l_bool: $tType ).

tff(type_def_217,type,
    fun_fu1304377569l_bool: $tType ).

tff(type_def_218,type,
    fun_fu1183182719l_bool: $tType ).

tff(type_def_219,type,
    fun_fu814369080l_bool: $tType ).

tff(type_def_220,type,
    fun_fu797415470l_bool: $tType ).

tff(type_def_221,type,
    fun_fu599651488l_bool: $tType ).

tff(type_def_222,type,
    fun_fu286455014l_bool: $tType ).

tff(type_def_223,type,
    fun_fu1625211924l_bool: $tType ).

tff(type_def_224,type,
    fun_fu1164115775l_bool: $tType ).

tff(type_def_225,type,
    fun_fu152274135l_bool: $tType ).

tff(type_def_226,type,
    fun_fu1304086967l_bool: $tType ).

tff(type_def_227,type,
    fun_fu761902960l_bool: $tType ).

tff(type_def_228,type,
    fun_fu698572390l_bool: $tType ).

tff(type_def_229,type,
    fun_fu523608611i_bool: $tType ).

tff(type_def_230,type,
    fun_fu1843791925l_bool: $tType ).

tff(type_def_231,type,
    fun_fu1992232028l_bool: $tType ).

tff(type_def_232,type,
    fun_fu859131105ol_nat: $tType ).

tff(type_def_233,type,
    fun_fu546411570l_bool: $tType ).

tff(type_def_234,type,
    fun_fu571526969l_bool: $tType ).

tff(type_def_235,type,
    fun_fu309681663t_bool: $tType ).

tff(type_def_236,type,
    fun_fu810527939l_bool: $tType ).

tff(type_def_237,type,
    fun_fu1297042877l_bool: $tType ).

tff(type_def_238,type,
    fun_fu2060968923l_bool: $tType ).

tff(type_def_239,type,
    fun_fu2017702261l_bool: $tType ).

tff(type_def_240,type,
    fun_fu186682962t_bool: $tType ).

tff(type_def_241,type,
    fun_fu224426485l_bool: $tType ).

tff(type_def_242,type,
    fun_fu1818294997l_bool: $tType ).

tff(type_def_243,type,
    fun_fu424058085l_bool: $tType ).

tff(type_def_244,type,
    fun_fu178397086l_bool: $tType ).

tff(type_def_245,type,
    fun_fu1796799636l_bool: $tType ).

tff(type_def_246,type,
    fun_fu1975854110l_bool: $tType ).

tff(type_def_247,type,
    fun_fu1710953559l_bool: $tType ).

tff(type_def_248,type,
    fun_fu1215489613l_bool: $tType ).

tff(type_def_249,type,
    fun_fu1132933928l_bool: $tType ).

tff(type_def_250,type,
    fun_fu1406810280i_bool: $tType ).

tff(type_def_251,type,
    fun_fu687131369l_bool: $tType ).

tff(type_def_252,type,
    fun_fu2013733473l_bool: $tType ).

tff(type_def_253,type,
    fun_fu955147676ol_nat: $tType ).

tff(type_def_254,type,
    fun_fu1868761018l_bool: $tType ).

tff(type_def_255,type,
    fun_fu151575155l_bool: $tType ).

tff(type_def_256,type,
    fun_fu1632756612t_bool: $tType ).

tff(type_def_257,type,
    fun_fu109527913l_bool: $tType ).

tff(type_def_258,type,
    fun_fu329401612l_bool: $tType ).

tff(type_def_259,type,
    fun_fu1253304283l_bool: $tType ).

tff(type_def_260,type,
    fun_fu1265985907l_bool: $tType ).

tff(type_def_261,type,
    fun_fu1824295331l_bool: $tType ).

tff(type_def_262,type,
    fun_fu1703884119t_bool: $tType ).

tff(type_def_263,type,
    fun_fu2020020679l_bool: $tType ).

tff(type_def_264,type,
    fun_fu452089579l_bool: $tType ).

tff(type_def_265,type,
    fun_fu627447383l_bool: $tType ).

tff(type_def_266,type,
    fun_fu902545894i_bool: $tType ).

tff(type_def_267,type,
    fun_fu916781301l_bool: $tType ).

tff(type_def_268,type,
    fun_fu562005862e_indi: $tType ).

tff(type_def_269,type,
    fun_fu638310559l_bool: $tType ).

tff(type_def_270,type,
    fun_fu841105374ol_nat: $tType ).

tff(type_def_271,type,
    fun_fu665686165t_unit: $tType ).

tff(type_def_272,type,
    fun_fu1534804551t_bool: $tType ).

tff(type_def_273,type,
    fun_fu1118734319t_bool: $tType ).

tff(type_def_274,type,
    fun_fu1287834969t_bool: $tType ).

tff(type_def_275,type,
    fun_fu1679793515t_bool: $tType ).

tff(type_def_276,type,
    fun_fu2142850746i_bool: $tType ).

tff(type_def_277,type,
    fun_fu230081932t_bool: $tType ).

tff(type_def_278,type,
    fun_fu1847201208t_bool: $tType ).

tff(type_def_279,type,
    fun_fu237781875l_bool: $tType ).

tff(type_def_280,type,
    fun_fu1414555455t_bool: $tType ).

tff(type_def_281,type,
    fun_fu477456066t_bool: $tType ).

tff(type_def_282,type,
    fun_fu643686505t_bool: $tType ).

tff(type_def_283,type,
    fun_fu1648543689t_bool: $tType ).

tff(type_def_284,type,
    fun_fu864675765l_bool: $tType ).

tff(type_def_285,type,
    fun_fu643206625l_bool: $tType ).

tff(type_def_286,type,
    fun_fu297564241t_bool: $tType ).

tff(type_def_287,type,
    fun_fu1550952061t_bool: $tType ).

tff(type_def_288,type,
    fun_fu1428746645t_bool: $tType ).

tff(type_def_289,type,
    fun_fu318801205l_bool: $tType ).

tff(type_def_290,type,
    fun_fu598681231t_bool: $tType ).

tff(type_def_291,type,
    fun_Pr1509342064e_indi: $tType ).

tff(type_def_292,type,
    fun_Pr2067565481t_bool: $tType ).

tff(type_def_293,type,
    fun_Pr376858015t_unit: $tType ).

tff(type_def_294,type,
    fun_Pr895221296i_bool: $tType ).

tff(type_def_295,type,
    fun_Pr1780397033l_bool: $tType ).

tff(type_def_296,type,
    fun_Pr1069395679t_bool: $tType ).

tff(type_def_297,type,
    fun_Pr1085078251l_bool: $tType ).

tff(type_def_298,type,
    produc472769767le_alt: $tType ).

tff(func_def_0,type,
    arrow_1335103695le_IIA: fun_fu2098777574l_bool ).

tff(func_def_1,type,
    arrow_1361987423le_Lin: fun_fu638310559l_bool ).

tff(func_def_2,type,
    arrow_5070731e_Prof: fun_fu3835832l_bool ).

tff(func_def_3,type,
    arrow_216713899_above: fun_fu1287834969t_bool ).

tff(func_def_4,type,
    arrow_1525312447_below: ( fun_Pr2067565481t_bool * arrow_1893660431le_alt * arrow_1893660431le_alt ) > fun_Pr2067565481t_bool ).

tff(func_def_5,type,
    arrow_1765888670ctator: fun_fu2109152051i_bool ).

tff(func_def_6,type,
    arrow_1481558583_mkbot: fun_fu1679793515t_bool ).

tff(func_def_7,type,
    arrow_1630265669_mktop: fun_fu1679793515t_bool ).

tff(func_def_8,type,
    arrow_320876018nimity: fun_fu2098777574l_bool ).

tff(func_def_9,type,
    big_co387207925at_nat: fun_nat_nat > fun_fun_nat_bool_nat ).

tff(func_def_10,type,
    cOMBB_1015721476ol_nat: fun_bo1549164019l_bool > fun_fu2104074051l_bool ).

tff(func_def_11,type,
    cOMBB_1061985500e_indi: fun_bo1945492389t_bool > fun_fu1821795357t_bool ).

tff(func_def_12,type,
    cOMBB_1869811296e_indi: fun_nat_fun_nat_bool > fun_fu1372829539t_bool ).

tff(func_def_13,type,
    cOMBB_800536526ol_nat: fun_nat_fun_nat_bool > fun_fu717290361t_bool ).

tff(func_def_14,type,
    cOMBB_1146692694ol_nat: fun_na1436237685l_bool > fun_fu1585362869l_bool ).

tff(func_def_15,type,
    cOMBB_652885079le_alt: fun_fu696673523t_bool > fun_fu596987971t_bool ).

tff(func_def_16,type,
    cOMBB_1575576719le_alt: fun_fu1572237755l_bool > fun_fu263774347l_bool ).

tff(func_def_17,type,
    cOMBB_1876517692e_indi: fun_fu1287834969t_bool > fun_fu1427663149t_bool ).

tff(func_def_18,type,
    cOMBB_80760910e_indi: fun_fu1679793515t_bool > fun_fu1896276031t_bool ).

tff(func_def_19,type,
    cOMBB_1660064607le_alt: fun_Pr1085078251l_bool > fun_fu1572237755l_bool ).

tff(func_def_20,type,
    cOMBC_395465908l_bool: fun_fu696673523t_bool ).

tff(func_def_21,type,
    cOMBC_557453916t_bool: fun_fu91004995t_bool ).

tff(func_def_22,type,
    cOMBC_1486904681t_bool: fun_fu548876995t_bool ).

tff(func_def_23,type,
    cOMBC_1417338747t_bool: fun_fu2128130023t_bool ).

tff(func_def_24,type,
    cOMBC_722552198t_bool: fun_fu1610971917i_bool ).

tff(func_def_25,type,
    cOMBC_156709173t_bool: fun_fu2030607631t_bool ).

tff(func_def_26,type,
    cOMBC_750853729t_bool: fun_fu205223783t_bool ).

tff(func_def_27,type,
    cOMBC_nat_nat_bool: fun_fu1733046955t_bool ).

tff(func_def_28,type,
    cOMBC_nat_nat_nat: fun_fu522653757at_nat ).

tff(func_def_29,type,
    cOMBC_226598744l_bool: fun_fu80187629t_bool ).

tff(func_def_30,type,
    cOMBC_514203746l_bool: fun_fu1741788849l_bool ).

tff(func_def_31,type,
    cOMBC_1209358050l_bool: fun_fu1818294997l_bool ).

tff(func_def_32,type,
    cOMBC_2133093654l_bool: fun_fu452089579l_bool ).

tff(func_def_33,type,
    cOMBC_593569186l_bool: fun_fu598681231t_bool ).

tff(func_def_34,type,
    cOMBI_nat: fun_nat_nat ).

tff(func_def_35,type,
    cOMBK_561380029e_indi: fun_bo1933551930i_bool ).

tff(func_def_36,type,
    cOMBK_bool_nat: fun_bo1570548802t_bool ).

tff(func_def_37,type,
    cOMBK_790042732t_unit: fun_bo1300789993t_bool ).

tff(func_def_38,type,
    cOMBK_445086735t_bool: fun_bo2107365004l_bool ).

tff(func_def_39,type,
    cOMBK_1279003709t_bool: fun_bo1445676730l_bool ).

tff(func_def_40,type,
    cOMBK_81143760t_bool: fun_bo377688929l_bool ).

tff(func_def_41,type,
    cOMBK_198697344le_alt: fun_bo1431306493t_bool ).

tff(func_def_42,type,
    cOMBK_341987762ol_nat: fun_fu591186160i_bool ).

tff(func_def_43,type,
    cOMBK_818801614t_bool: fun_fu2005129568i_bool ).

tff(func_def_44,type,
    cOMBK_443335420t_bool: fun_fu1858742706i_bool ).

tff(func_def_45,type,
    cOMBK_814147665t_bool: fun_fu2036492305i_bool ).

tff(func_def_46,type,
    cOMBK_1987648063le_alt: fun_fu857388591i_bool ).

tff(func_def_47,type,
    cOMBK_623810489ol_nat: fun_fu1932307120l_bool ).

tff(func_def_48,type,
    cOMBK_542452487t_bool: fun_fu2010474066l_bool ).

tff(func_def_49,type,
    cOMBK_1770320693t_bool: fun_fu1185305252l_bool ).

tff(func_def_50,type,
    cOMBK_118864600t_bool: fun_fu1829593041l_bool ).

tff(func_def_51,type,
    cOMBK_138598520le_alt: fun_fu459284641l_bool ).

tff(func_def_52,type,
    cOMBK_833041760e_indi: fun_fu191830394t_bool ).

tff(func_def_53,type,
    cOMBK_1034797721l_bool: fun_fu1094602547t_bool ).

tff(func_def_54,type,
    cOMBK_356206223t_unit: fun_fu613111337t_bool ).

tff(func_def_55,type,
    cOMBK_649751363ol_nat: fun_fu26755632t_bool ).

tff(func_def_56,type,
    cOMBK_1220673277t_bool: fun_fu1463347262t_bool ).

tff(func_def_57,type,
    cOMBK_1385893163t_bool: fun_fu1250976912t_bool ).

tff(func_def_58,type,
    cOMBK_14887266t_bool: fun_fu1093357393t_bool ).

tff(func_def_59,type,
    cOMBK_751896174le_alt: fun_fu32501645t_bool ).

tff(func_def_60,type,
    cOMBK_1255579598e_indi: fun_fu1006882262l_bool ).

tff(func_def_61,type,
    cOMBK_317366791l_bool: fun_fu146711773l_bool ).

tff(func_def_62,type,
    cOMBK_708287485t_unit: fun_fu835523175l_bool ).

tff(func_def_63,type,
    cOMBK_1514079484e_indi: fun_fu546411570l_bool ).

tff(func_def_64,type,
    cOMBK_2030738485l_bool: fun_fu571526969l_bool ).

tff(func_def_65,type,
    cOMBK_1075760171t_unit: fun_fu810527939l_bool ).

tff(func_def_66,type,
    cOMBK_1520063231e_indi: fun_fu1868761018l_bool ).

tff(func_def_67,type,
    cOMBK_650639032l_bool: fun_fu151575155l_bool ).

tff(func_def_68,type,
    cOMBK_1521810862t_unit: fun_fu109527913l_bool ).

tff(func_def_69,type,
    cOMBK_1701906001t_bool: fun_fu329401612l_bool ).

tff(func_def_70,type,
    cOMBK_1650320063e_indi: fun_fu1847201208t_bool ).

tff(func_def_71,type,
    cOMBK_5056120l_bool: fun_fu1414555455t_bool ).

tff(func_def_72,type,
    cOMBK_681766254t_unit: fun_fu1648543689t_bool ).

tff(func_def_73,type,
    cOMBS_1925466437t_bool: fun_Ar535288606t_bool > fun_fu419698981t_bool ).

tff(func_def_74,type,
    cOMBS_1181656689t_bool: fun_Ar516759882t_bool > fun_fu1037963345t_bool ).

tff(func_def_75,type,
    cOMBS_nat_bool_bool: fun_na1469252690l_bool > fun_fu821463397t_bool ).

tff(func_def_76,type,
    finite1672073426e_indi: fun_fu1603738721ol_nat ).

tff(func_def_77,type,
    finite_card_nat: fun_fun_nat_bool_nat ).

tff(func_def_78,type,
    finite1949902593t_unit: fun_fu572628082ol_nat ).

tff(func_def_79,type,
    finite92092049e_indi: fun_fu844176604l_bool ).

tff(func_def_80,type,
    finite_finite_nat: fun_fu425979586l_bool ).

tff(func_def_81,type,
    inj_on1960344199di_nat: fun_Ar671024215di_nat > fun_fu844176604l_bool ).

tff(func_def_82,type,
    inj_on_nat_nat: fun_nat_nat > fun_fu425979586l_bool ).

tff(func_def_83,type,
    pi_Arr1233262509di_nat: ( fun_Ar1809396326i_bool * fun_Ar603939593t_bool ) > fun_fu2139962393t_bool ).

tff(func_def_84,type,
    pi_Arr2025169427t_bool: ( fun_Ar1809396326i_bool * fun_Ar1998664965l_bool ) > fun_fu1771585781l_bool ).

tff(func_def_85,type,
    pi_Arr687740481t_bool: ( fun_Ar1809396326i_bool * fun_Ar1321653811l_bool ) > fun_fu2144981539l_bool ).

tff(func_def_86,type,
    pi_Arr959578316t_bool: ( fun_Ar1809396326i_bool * fun_Ar1474557608l_bool ) > fun_fu3835832l_bool ).

tff(func_def_87,type,
    pi_Arr1460528004le_alt: ( fun_Ar1809396326i_bool * fun_Ar274636406t_bool ) > fun_fu802339430t_bool ).

tff(func_def_88,type,
    pi_bool_nat: ( fun_bool_bool * fun_bo1570548802t_bool ) > fun_fu429484960t_bool ).

tff(func_def_89,type,
    pi_boo347863884t_bool: ( fun_bool_bool * fun_bo2107365004l_bool ) > fun_fu625915566l_bool ).

tff(func_def_90,type,
    pi_boo769613946t_bool: ( fun_bool_bool * fun_bo1445676730l_bool ) > fun_fu962836700l_bool ).

tff(func_def_91,type,
    pi_boo1111177555t_bool: ( fun_bool_bool * fun_bo377688929l_bool ) > fun_fu1618772927l_bool ).

tff(func_def_92,type,
    pi_boo7125949le_alt: ( fun_bool_bool * fun_bo1431306493t_bool ) > fun_fu1168191263t_bool ).

tff(func_def_93,type,
    pi_nat646417955e_indi: ( fun_nat_bool * fun_na2037635353i_bool ) > fun_fu902912905i_bool ).

tff(func_def_94,type,
    pi_nat_bool: ( fun_nat_bool * fun_na1469252690l_bool ) > fun_fu425979586l_bool ).

tff(func_def_95,type,
    pi_nat_Product_unit: ( fun_nat_bool * fun_na1041622088t_bool ) > fun_fu1771765432t_bool ).

tff(func_def_96,type,
    pi_Product_unit_nat: ( fun_Pr1643180309t_bool * fun_Pr1029464120t_bool ) > fun_fu1108851754t_bool ).

tff(func_def_97,type,
    pi_Pro782712642t_bool: ( fun_Pr1643180309t_bool * fun_Pr537467670l_bool ) > fun_fu1638321572l_bool ).

tff(func_def_98,type,
    pi_Pro1533274736t_bool: ( fun_Pr1643180309t_bool * fun_Pr151242052l_bool ) > fun_fu504370642l_bool ).

tff(func_def_99,type,
    pi_Pro1290680285t_bool: ( fun_Pr1643180309t_bool * fun_Pr1791323223l_bool ) > fun_fu1110306633l_bool ).

tff(func_def_100,type,
    pi_Pro1820940723le_alt: ( fun_Pr1643180309t_bool * fun_Pr1887398791t_bool ) > fun_fu524263445t_bool ).

tff(func_def_101,type,
    pi_fun520512275e_indi: ( fun_fu3835832l_bool * fun_fu223278561i_bool ) > fun_fu1864062453i_bool ).

tff(func_def_102,type,
    pi_fun853738700l_bool: ( fun_fu3835832l_bool * fun_fu916327706l_bool ) > fun_fu1370139438l_bool ).

tff(func_def_103,type,
    pi_fun1644711874t_unit: ( fun_fu3835832l_bool * fun_fu1734317328t_bool ) > fun_fu1318713124t_bool ).

tff(func_def_104,type,
    pi_fun1746584570t_bool: ( fun_fu3835832l_bool * fun_fu1863781882l_bool ) > fun_fu2098777574l_bool ).

tff(func_def_105,type,
    pi_fun1807454273e_indi: ( fun_fu2098777574l_bool * fun_fu2109152051i_bool ) > fun_fu523608611i_bool ).

tff(func_def_106,type,
    pi_fun1312540410l_bool: ( fun_fu2098777574l_bool * fun_fu1522163052l_bool ) > fun_fu1992232028l_bool ).

tff(func_def_107,type,
    pi_fun1540376560t_unit: ( fun_fu2098777574l_bool * fun_fu1143287650t_bool ) > fun_fu186682962t_bool ).

tff(func_def_108,type,
    pi_fun1470523330e_indi: ( fun_fu638310559l_bool * fun_fu2142850746i_bool ) > fun_fu1406810280i_bool ).

tff(func_def_109,type,
    pi_fun1035089915l_bool: ( fun_fu638310559l_bool * fun_fu237781875l_bool ) > fun_fu2013733473l_bool ).

tff(func_def_110,type,
    pi_fun177985009t_unit: ( fun_fu638310559l_bool * fun_fu643686505t_bool ) > fun_fu1703884119t_bool ).

tff(func_def_111,type,
    pi_Pro837265796e_indi: ( fun_Pr2067565481t_bool * fun_Pr895221296i_bool ) > fun_fu902545894i_bool ).

tff(func_def_112,type,
    pi_Pro1238944957t_bool: ( fun_Pr2067565481t_bool * fun_Pr1780397033l_bool ) > fun_fu638310559l_bool ).

tff(func_def_113,type,
    pi_Pro346842291t_unit: ( fun_Pr2067565481t_bool * fun_Pr1069395679t_bool ) > fun_fu1428746645t_bool ).

tff(func_def_114,type,
    one_one_nat: nat ).

tff(func_def_115,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_116,type,
    times_times_nat: nat > fun_nat_nat ).

tff(func_def_117,type,
    zero_zero_nat: nat ).

tff(func_def_118,type,
    bool_size: fun_bool_nat ).

tff(func_def_119,type,
    hilber1580028780di_nat: ( fun_Ar1809396326i_bool * fun_Ar671024215di_nat ) > fun_na699243463e_indi ).

tff(func_def_120,type,
    hilber195283148at_nat: ( fun_nat_bool * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_121,type,
    if_fun523439385t_bool: fun_bo1945492389t_bool ).

tff(func_def_122,type,
    semila465093516t_bool: fun_nat_bool > fun_fu821463397t_bool ).

tff(func_def_123,type,
    suc: fun_nat_nat ).

tff(func_def_124,type,
    nat_case_bool: bool > fun_fu821463397t_bool ).

tff(func_def_125,type,
    nat_size: fun_nat_nat ).

tff(func_def_126,type,
    size_size_nat: fun_nat_nat ).

tff(func_def_127,type,
    ord_less_bool: fun_bo1549164019l_bool ).

tff(func_def_128,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(func_def_129,type,
    ord_le19409623t_bool: fun_fu625013235l_bool ).

tff(func_def_130,type,
    ord_le225487548i_bool: fun_fu924966107l_bool ).

tff(func_def_131,type,
    ord_le382113706t_bool: fun_fu1217155507l_bool ).

tff(func_def_132,type,
    ord_le1976645739t_bool: fun_fu43485241l_bool ).

tff(func_def_133,type,
    ord_le1959568910l_bool: fun_fu1785284735l_bool ).

tff(func_def_134,type,
    ord_le119247420l_bool: fun_fu2060968923l_bool ).

tff(func_def_135,type,
    ord_le1727358153l_bool: fun_fu1265985907l_bool ).

tff(func_def_136,type,
    ord_le1478665215t_bool: fun_fu643206625l_bool ).

tff(func_def_137,type,
    ord_less_eq_bool: fun_bo1549164019l_bool ).

tff(func_def_138,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

tff(func_def_139,type,
    ord_le1779845435t_bool: fun_fu1085384691l_bool ).

tff(func_def_140,type,
    ord_le172225251t_bool: fun_fu625013235l_bool ).

tff(func_def_141,type,
    ord_le1609180592i_bool: fun_fu924966107l_bool ).

tff(func_def_142,type,
    ord_le742797417l_bool: fun_fu1393819981l_bool ).

tff(func_def_143,type,
    ord_le1568362934t_bool: fun_fu1217155507l_bool ).

tff(func_def_144,type,
    ord_le1874503007t_bool: fun_fu43485241l_bool ).

tff(func_def_145,type,
    ord_le1099920642l_bool: fun_fu1785284735l_bool ).

tff(func_def_146,type,
    ord_le1121695024l_bool: fun_fu2060968923l_bool ).

tff(func_def_147,type,
    ord_le1545885909l_bool: fun_fu1265985907l_bool ).

tff(func_def_148,type,
    ord_le1577377523t_bool: fun_fu643206625l_bool ).

tff(func_def_149,type,
    top_top_bool: bool ).

tff(func_def_150,type,
    top_to951839027t_bool: fun_Ar331856045t_bool ).

tff(func_def_151,type,
    top_to788185952i_bool: fun_Ar1809396326i_bool ).

tff(func_def_152,type,
    top_to1647826457l_bool: fun_bool_bool ).

tff(func_def_153,type,
    top_top_fun_nat_bool: fun_nat_bool ).

tff(func_def_154,type,
    top_to1257323279t_bool: fun_Pr1643180309t_bool ).

tff(func_def_155,type,
    top_to553140914l_bool: fun_fu3835832l_bool ).

tff(func_def_156,type,
    top_to827110112l_bool: fun_fu2098777574l_bool ).

tff(func_def_157,type,
    top_to1312956197l_bool: fun_fu638310559l_bool ).

tff(func_def_158,type,
    top_to1138392227t_bool: fun_Pr2067565481t_bool ).

tff(func_def_159,type,
    produc1590937303le_alt: fun_Ar2121501495le_alt ).

tff(func_def_160,type,
    ord_at238088361st_nat: nat > fun_nat_fun_nat_bool ).

tff(func_def_161,type,
    ord_at4362885an_nat: nat > fun_nat_fun_nat_bool ).

tff(func_def_162,type,
    ord_atLeast_nat: fun_nat_fun_nat_bool ).

tff(func_def_163,type,
    ord_gr375877188st_nat: nat > fun_nat_fun_nat_bool ).

tff(func_def_164,type,
    ord_gr660468384an_nat: nat > fun_nat_fun_nat_bool ).

tff(func_def_165,type,
    ord_greaterThan_nat: fun_nat_fun_nat_bool ).

tff(func_def_166,type,
    collec1597001935e_indi: fun_fu1712056765i_bool ).

tff(func_def_167,type,
    collect_nat: fun_fu821463397t_bool ).

tff(func_def_168,type,
    collect_Product_unit: fun_fu391017725t_bool ).

tff(func_def_169,type,
    collec1236161569t_bool: fun_fu973465149l_bool ).

tff(func_def_170,type,
    collec71394895t_bool: fun_fu1297042877l_bool ).

tff(func_def_171,type,
    collec2125531966t_bool: fun_fu1824295331l_bool ).

tff(func_def_172,type,
    collec1988958098le_alt: fun_fu1550952061t_bool ).

tff(func_def_173,type,
    image_1465793779di_nat: fun_Ar671024215di_nat > fun_fu1254370943t_bool ).

tff(func_def_174,type,
    image_nat_nat: fun_nat_nat > fun_fu821463397t_bool ).

tff(func_def_175,type,
    fFalse: bool ).

tff(func_def_176,type,
    fTrue: bool ).

tff(func_def_177,type,
    fconj: fun_bo1549164019l_bool ).

tff(func_def_178,type,
    fequal_nat: fun_nat_fun_nat_bool ).

tff(func_def_179,type,
    hAPP_A1748732503t_bool: ( fun_Ar17477381t_bool * arrow_1893660431le_alt ) > bool ).

tff(func_def_180,type,
    hAPP_A2063800319t_bool: ( fun_Ar331856045t_bool * arrow_1893660431le_alt ) > fun_Ar17477381t_bool ).

tff(func_def_181,type,
    hAPP_A1608658241l_bool: ( fun_Ar1995913199l_bool * arrow_1893660431le_alt ) > fun_Ar339057223l_bool ).

tff(func_def_182,type,
    hAPP_A1058422557t_bool: ( fun_Ar797671557t_bool * arrow_1893660431le_alt ) > fun_Ar1573071255t_bool ).

tff(func_def_183,type,
    hAPP_A1146194953le_alt: ( fun_Ar2121501495le_alt * arrow_1893660431le_alt ) > fun_Ar245737999le_alt ).

tff(func_def_184,type,
    hAPP_A1889513822t_bool: ( fun_Ar1753411852t_bool * arrow_1893660431le_alt ) > fun_Ar64685412t_bool ).

tff(func_def_185,type,
    hAPP_A425126512t_bool: ( fun_Ar1623257374t_bool * arrow_1893660431le_alt ) > fun_Ar274636406t_bool ).

tff(func_def_186,type,
    hAPP_A442239897l_bool: ( fun_Ar339057223l_bool * arrow_1893660431le_alt ) > fun_fu638310559l_bool ).

tff(func_def_187,type,
    hAPP_A656921921t_bool: ( fun_Ar636018671t_bool * arrow_1893660431le_alt ) > fun_fu1534804551t_bool ).

tff(func_def_188,type,
    hAPP_A1601437999t_bool: ( fun_Ar1573071255t_bool * arrow_1893660431le_alt ) > fun_Pr2067565481t_bool ).

tff(func_def_189,type,
    hAPP_A1299015393le_alt: ( fun_Ar245737999le_alt * arrow_1893660431le_alt ) > produc472769767le_alt ).

tff(func_def_190,type,
    hAPP_A997847300i_bool: ( fun_Ar1809396326i_bool * arrow_856714788e_indi ) > bool ).

tff(func_def_191,type,
    hAPP_A376526755di_nat: ( fun_Ar671024215di_nat * arrow_856714788e_indi ) > nat ).

tff(func_def_192,type,
    hAPP_A38124190t_bool: ( fun_Ar290235730t_bool * arrow_856714788e_indi ) > fun_Ar797671557t_bool ).

tff(func_def_193,type,
    hAPP_A1309733808t_bool: ( fun_Ar64685412t_bool * arrow_856714788e_indi ) > fun_Ar1573071255t_bool ).

tff(func_def_194,type,
    hAPP_A2107398813t_bool: ( fun_Ar624010239t_bool * arrow_856714788e_indi ) > fun_Ar274636406t_bool ).

tff(func_def_195,type,
    hAPP_A1686943911t_bool: ( fun_Ar603939593t_bool * arrow_856714788e_indi ) > fun_nat_bool ).

tff(func_def_196,type,
    hAPP_A1597696899l_bool: ( fun_Ar1047186533l_bool * arrow_856714788e_indi ) > fun_fu844176604l_bool ).

tff(func_def_197,type,
    hAPP_A1411662545l_bool: ( fun_Ar1998664965l_bool * arrow_856714788e_indi ) > fun_fu3835832l_bool ).

tff(func_def_198,type,
    hAPP_A1378093259t_bool: ( fun_Ar286530093t_bool * arrow_856714788e_indi ) > fun_fu2114379172t_bool ).

tff(func_def_199,type,
    hAPP_A2084592127l_bool: ( fun_Ar1321653811l_bool * arrow_856714788e_indi ) > fun_fu2098777574l_bool ).

tff(func_def_200,type,
    hAPP_A897398598l_bool: ( fun_Ar1474557608l_bool * arrow_856714788e_indi ) > fun_fu638310559l_bool ).

tff(func_def_201,type,
    hAPP_A1395684458t_bool: ( fun_Ar535288606t_bool * arrow_856714788e_indi ) > fun_fu297564241t_bool ).

tff(func_def_202,type,
    hAPP_A834130326t_bool: ( fun_Ar516759882t_bool * arrow_856714788e_indi ) > fun_fu1550952061t_bool ).

tff(func_def_203,type,
    hAPP_A1646126530t_bool: ( fun_Ar274636406t_bool * arrow_856714788e_indi ) > fun_Pr2067565481t_bool ).

tff(func_def_204,type,
    hAPP_A899858958le_alt: ( fun_Ar338949104le_alt * arrow_856714788e_indi ) > produc472769767le_alt ).

tff(func_def_205,type,
    hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_206,type,
    hAPP_bool_nat: ( fun_bool_nat * bool ) > nat ).

tff(func_def_207,type,
    hAPP_b549570054i_bool: ( fun_bo1933551930i_bool * bool ) > fun_Ar1809396326i_bool ).

tff(func_def_208,type,
    hAPP_b489616086t_bool: ( fun_bo1476023096t_bool * bool ) > fun_Ar274636406t_bool ).

tff(func_def_209,type,
    hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).

tff(func_def_210,type,
    hAPP_b1013836512t_bool: ( fun_bo1570548802t_bool * bool ) > fun_nat_bool ).

tff(func_def_211,type,
    hAPP_b1096750261t_bool: ( fun_bo1300789993t_bool * bool ) > fun_Pr1643180309t_bool ).

tff(func_def_212,type,
    hAPP_b1078573912l_bool: ( fun_bo2107365004l_bool * bool ) > fun_fu3835832l_bool ).

tff(func_def_213,type,
    hAPP_b1029214724t_bool: ( fun_bo559790694t_bool * bool ) > fun_fu2114379172t_bool ).

tff(func_def_214,type,
    hAPP_b1787118453l_bool: ( fun_bo492988759l_bool * bool ) > fun_fu1255657237l_bool ).

tff(func_def_215,type,
    hAPP_b1777246598l_bool: ( fun_bo1445676730l_bool * bool ) > fun_fu2098777574l_bool ).

tff(func_def_216,type,
    hAPP_b1272691967l_bool: ( fun_bo377688929l_bool * bool ) > fun_fu638310559l_bool ).

tff(func_def_217,type,
    hAPP_b35146737t_bool: ( fun_bo1945492389t_bool * bool ) > fun_fu297564241t_bool ).

tff(func_def_218,type,
    hAPP_b128655177t_bool: ( fun_bo1431306493t_bool * bool ) > fun_Pr2067565481t_bool ).

tff(func_def_219,type,
    hAPP_b2094455111le_alt: ( fun_bo1682907689le_alt * bool ) > produc472769767le_alt ).

tff(func_def_220,type,
    hAPP_n1937165849e_indi: ( fun_na699243463e_indi * nat ) > arrow_856714788e_indi ).

tff(func_def_221,type,
    hAPP_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(func_def_222,type,
    hAPP_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_223,type,
    hAPP_n633340360t_unit: ( fun_nat_Product_unit * nat ) > product_unit ).

tff(func_def_224,type,
    hAPP_n1312530466t_bool: ( fun_na300967376t_bool * nat ) > fun_Ar331856045t_bool ).

tff(func_def_225,type,
    hAPP_n34002993i_bool: ( fun_na2037635353i_bool * nat ) > fun_Ar1809396326i_bool ).

tff(func_def_226,type,
    hAPP_n1006566506l_bool: ( fun_na1469252690l_bool * nat ) > fun_bool_bool ).

tff(func_def_227,type,
    hAPP_n1699378549t_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_228,type,
    hAPP_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_229,type,
    hAPP_n454528608t_bool: ( fun_na1041622088t_bool * nat ) > fun_Pr1643180309t_bool ).

tff(func_def_230,type,
    hAPP_n2125602947l_bool: ( fun_na6909291l_bool * nat ) > fun_fu3835832l_bool ).

tff(func_def_231,type,
    hAPP_n215258509l_bool: ( fun_na1436237685l_bool * nat ) > fun_fu425979586l_bool ).

tff(func_def_232,type,
    hAPP_n1555388849l_bool: ( fun_na138495129l_bool * nat ) > fun_fu2098777574l_bool ).

tff(func_def_233,type,
    hAPP_n1134275860l_bool: ( fun_na144630978l_bool * nat ) > fun_fu638310559l_bool ).

tff(func_def_234,type,
    hAPP_n1161265524t_bool: ( fun_na998785244t_bool * nat ) > fun_Pr2067565481t_bool ).

tff(func_def_235,type,
    hAPP_P1676879539t_bool: ( fun_Pr1643180309t_bool * product_unit ) > bool ).

tff(func_def_236,type,
    hAPP_P426034740it_nat: ( fun_Product_unit_nat * product_unit ) > nat ).

tff(func_def_237,type,
    hAPP_P913627340t_bool: ( fun_Pr1531194158t_bool * product_unit ) > fun_Ar274636406t_bool ).

tff(func_def_238,type,
    hAPP_P32877782t_bool: ( fun_Pr1029464120t_bool * product_unit ) > fun_nat_bool ).

tff(func_def_239,type,
    hAPP_P284783074l_bool: ( fun_Pr537467670l_bool * product_unit ) > fun_fu3835832l_bool ).

tff(func_def_240,type,
    hAPP_P1858715130t_bool: ( fun_Pr2016729180t_bool * product_unit ) > fun_fu2114379172t_bool ).

tff(func_def_241,type,
    hAPP_P607165281l_bool: ( fun_Pr1863373635l_bool * product_unit ) > fun_fu309829899l_bool ).

tff(func_def_242,type,
    hAPP_P283873808l_bool: ( fun_Pr151242052l_bool * product_unit ) > fun_fu2098777574l_bool ).

tff(func_def_243,type,
    hAPP_P754918389l_bool: ( fun_Pr1791323223l_bool * product_unit ) > fun_fu638310559l_bool ).

tff(func_def_244,type,
    hAPP_P1914371027t_bool: ( fun_Pr1887398791t_bool * product_unit ) > fun_Pr2067565481t_bool ).

tff(func_def_245,type,
    hAPP_P396106045le_alt: ( fun_Pr2090226719le_alt * product_unit ) > produc472769767le_alt ).

tff(func_def_246,type,
    hAPP_f739344229l_bool: ( fun_fu1618786247l_bool * fun_Ar17477381t_bool ) > bool ).

tff(func_def_247,type,
    hAPP_f1549168575l_bool: ( fun_fu1085384691l_bool * fun_Ar17477381t_bool ) > fun_fu1618786247l_bool ).

tff(func_def_248,type,
    hAPP_f1452856589l_bool: ( fun_fu573468015l_bool * fun_Ar331856045t_bool ) > bool ).

tff(func_def_249,type,
    hAPP_f1403773274ol_nat: ( fun_fu1677555470ol_nat * fun_Ar331856045t_bool ) > nat ).

tff(func_def_250,type,
    hAPP_f1691234864t_bool: ( fun_fu1869722514t_bool * fun_Ar331856045t_bool ) > fun_nat_bool ).

tff(func_def_251,type,
    hAPP_f1055587775l_bool: ( fun_fu625013235l_bool * fun_Ar331856045t_bool ) > fun_fu573468015l_bool ).

tff(func_def_252,type,
    hAPP_f105674721t_bool: ( fun_fu596987971t_bool * fun_Ar1995913199l_bool ) > fun_Ar636018671t_bool ).

tff(func_def_253,type,
    hAPP_f184584489l_bool: ( fun_fu263774347l_bool * fun_Ar2121501495le_alt ) > fun_Ar1995913199l_bool ).

tff(func_def_254,type,
    hAPP_f1689397393t_bool: ( fun_fu696673523t_bool * fun_Ar339057223l_bool ) > fun_fu1534804551t_bool ).

tff(func_def_255,type,
    hAPP_f1081591777t_bool: ( fun_fu91004995t_bool * fun_Ar636018671t_bool ) > fun_fu1118734319t_bool ).

tff(func_def_256,type,
    hAPP_f1536341593l_bool: ( fun_fu1572237755l_bool * fun_Ar245737999le_alt ) > fun_Ar339057223l_bool ).

tff(func_def_257,type,
    hAPP_f584385070l_bool: ( fun_fu844176604l_bool * fun_Ar1809396326i_bool ) > bool ).

tff(func_def_258,type,
    hAPP_f846027769ol_nat: ( fun_fu1603738721ol_nat * fun_Ar1809396326i_bool ) > nat ).

tff(func_def_259,type,
    hAPP_f1612707285i_bool: ( fun_fu1712056765i_bool * fun_Ar1809396326i_bool ) > fun_Ar1809396326i_bool ).

tff(func_def_260,type,
    hAPP_f668886383t_bool: ( fun_fu1821795357t_bool * fun_Ar1809396326i_bool ) > fun_Ar535288606t_bool ).

tff(func_def_261,type,
    hAPP_f622418129t_bool: ( fun_fu1254370943t_bool * fun_Ar1809396326i_bool ) > fun_nat_bool ).

tff(func_def_262,type,
    hAPP_f1549597448i_bool: ( fun_fu591186160i_bool * fun_Ar1809396326i_bool ) > fun_na2037635353i_bool ).

tff(func_def_263,type,
    hAPP_f731870893l_bool: ( fun_fu924966107l_bool * fun_Ar1809396326i_bool ) > fun_fu844176604l_bool ).

tff(func_def_264,type,
    hAPP_f2022065970i_bool: ( fun_fu2005129568i_bool * fun_Ar1809396326i_bool ) > fun_fu223278561i_bool ).

tff(func_def_265,type,
    hAPP_f448050564i_bool: ( fun_fu1858742706i_bool * fun_Ar1809396326i_bool ) > fun_fu2109152051i_bool ).

tff(func_def_266,type,
    hAPP_f1128827177i_bool: ( fun_fu2036492305i_bool * fun_Ar1809396326i_bool ) > fun_fu2142850746i_bool ).

tff(func_def_267,type,
    hAPP_f359069313i_bool: ( fun_fu857388591i_bool * fun_Ar1809396326i_bool ) > fun_Pr895221296i_bool ).

tff(func_def_268,type,
    hAPP_f966656047t_bool: ( fun_fu1372829539t_bool * fun_Ar671024215di_nat ) > fun_Ar603939593t_bool ).

tff(func_def_269,type,
    hAPP_f677301097l_bool: ( fun_fu1367082059l_bool * fun_Ar671024215di_nat ) > fun_fu672155663l_bool ).

tff(func_def_270,type,
    hAPP_f2102110817t_bool: ( fun_fu548876995t_bool * fun_Ar290235730t_bool ) > fun_Ar1753411852t_bool ).

tff(func_def_271,type,
    hAPP_f1631649925t_bool: ( fun_fu2128130023t_bool * fun_Ar64685412t_bool ) > fun_Ar1623257374t_bool ).

tff(func_def_272,type,
    hAPP_f1364091725l_bool: ( fun_fu846523317l_bool * fun_Ar624010239t_bool ) > fun_fu1464218807l_bool ).

tff(func_def_273,type,
    hAPP_f721434149i_bool: ( fun_fu1610971917i_bool * fun_Ar603939593t_bool ) > fun_na2037635353i_bool ).

tff(func_def_274,type,
    hAPP_f692361165l_bool: ( fun_fu1072826421l_bool * fun_Ar286530093t_bool ) > fun_fu1108528357l_bool ).

tff(func_def_275,type,
    hAPP_f1908974253t_bool: ( fun_fu2030607631t_bool * fun_Ar535288606t_bool ) > fun_fu230081932t_bool ).

tff(func_def_276,type,
    hAPP_f601594885t_bool: ( fun_fu205223783t_bool * fun_Ar516759882t_bool ) > fun_fu1847201208t_bool ).

tff(func_def_277,type,
    hAPP_f602741661e_indi: ( fun_fu1929591039e_indi * fun_Ar274636406t_bool ) > arrow_856714788e_indi ).

tff(func_def_278,type,
    hAPP_f995490902l_bool: ( fun_fu3835832l_bool * fun_Ar274636406t_bool ) > bool ).

tff(func_def_279,type,
    hAPP_f1775626572t_unit: ( fun_fu1023022254t_unit * fun_Ar274636406t_bool ) > product_unit ).

tff(func_def_280,type,
    hAPP_f391644589i_bool: ( fun_fu223278561i_bool * fun_Ar274636406t_bool ) > fun_Ar1809396326i_bool ).

tff(func_def_281,type,
    hAPP_f1751344075t_bool: ( fun_fu1427663149t_bool * fun_Ar274636406t_bool ) > fun_Ar290235730t_bool ).

tff(func_def_282,type,
    hAPP_f831214557t_bool: ( fun_fu1896276031t_bool * fun_Ar274636406t_bool ) > fun_Ar64685412t_bool ).

tff(func_def_283,type,
    hAPP_f1001205955t_bool: ( fun_fu419698981t_bool * fun_Ar274636406t_bool ) > fun_Ar516759882t_bool ).

tff(func_def_284,type,
    hAPP_f1302887663t_bool: ( fun_fu1037963345t_bool * fun_Ar274636406t_bool ) > fun_Ar274636406t_bool ).

tff(func_def_285,type,
    hAPP_f1676084198l_bool: ( fun_fu916327706l_bool * fun_Ar274636406t_bool ) > fun_bool_bool ).

tff(func_def_286,type,
    hAPP_f1438163420t_bool: ( fun_fu1734317328t_bool * fun_Ar274636406t_bool ) > fun_Pr1643180309t_bool ).

tff(func_def_287,type,
    hAPP_f1225332775l_bool: ( fun_fu361117961l_bool * fun_Ar274636406t_bool ) > fun_fu1370139438l_bool ).

tff(func_def_288,type,
    hAPP_f1915815064l_bool: ( fun_fu1863781882l_bool * fun_Ar274636406t_bool ) > fun_fu638310559l_bool ).

tff(func_def_289,type,
    hAPP_f2008608496t_bool: ( fun_fu2114379172t_bool * fun_Ar274636406t_bool ) > fun_Pr2067565481t_bool ).

tff(func_def_290,type,
    hAPP_f766019597l_bool: ( fun_fu2141985013l_bool * fun_Ar338949104le_alt ) > fun_fu762833832l_bool ).

tff(func_def_291,type,
    hAPP_f387058535l_bool: ( fun_fu1255657237l_bool * fun_bool_bool ) > bool ).

tff(func_def_292,type,
    hAPP_f1579826888l_bool: ( fun_fu1932307120l_bool * fun_bool_bool ) > fun_na1469252690l_bool ).

tff(func_def_293,type,
    hAPP_f1582869284l_bool: ( fun_fu2010474066l_bool * fun_bool_bool ) > fun_fu916327706l_bool ).

tff(func_def_294,type,
    hAPP_f612708895l_bool: ( fun_fu1393819981l_bool * fun_bool_bool ) > fun_fu1255657237l_bool ).

tff(func_def_295,type,
    hAPP_f1152234870l_bool: ( fun_fu1185305252l_bool * fun_bool_bool ) > fun_fu1522163052l_bool ).

tff(func_def_296,type,
    hAPP_f1713038057l_bool: ( fun_fu1829593041l_bool * fun_bool_bool ) > fun_fu237781875l_bool ).

tff(func_def_297,type,
    hAPP_f699791347l_bool: ( fun_fu459284641l_bool * fun_bool_bool ) > fun_Pr1780397033l_bool ).

tff(func_def_298,type,
    hAPP_f144393719l_bool: ( fun_fu1531935961l_bool * fun_bool_nat ) > fun_fu1392295702l_bool ).

tff(func_def_299,type,
    hAPP_f1525863565l_bool: ( fun_fu302299893l_bool * fun_bo1476023096t_bool ) > fun_fu500302576l_bool ).

tff(func_def_300,type,
    hAPP_f1134773005l_bool: ( fun_fu1407717749l_bool * fun_bo559790694t_bool ) > fun_fu1489407006l_bool ).

tff(func_def_301,type,
    hAPP_f416878261l_bool: ( fun_fu827796887l_bool * fun_bo1431306493t_bool ) > fun_fu422653621l_bool ).

tff(func_def_302,type,
    hAPP_f334747853l_bool: ( fun_fu662095797l_bool * fun_bo1682907689le_alt ) > fun_fu1304377569l_bool ).

tff(func_def_303,type,
    hAPP_f707406409l_bool: ( fun_fu1544203051l_bool * fun_na699243463e_indi ) > fun_fu1183182719l_bool ).

tff(func_def_304,type,
    hAPP_f54304608l_bool: ( fun_fu425979586l_bool * fun_nat_bool ) > bool ).

tff(func_def_305,type,
    hAPP_f22106695ol_nat: ( fun_fun_nat_bool_nat * fun_nat_bool ) > nat ).

tff(func_def_306,type,
    hAPP_f1635284656t_bool: ( fun_fu221658642t_bool * fun_nat_bool ) > fun_Ar331856045t_bool ).

tff(func_def_307,type,
    hAPP_f1992344867i_bool: ( fun_fu1415967063i_bool * fun_nat_bool ) > fun_Ar1809396326i_bool ).

tff(func_def_308,type,
    hAPP_f1132083526t_bool: ( fun_fu191830394t_bool * fun_nat_bool ) > fun_Ar603939593t_bool ).

tff(func_def_309,type,
    hAPP_f1247925759t_bool: ( fun_fu1094602547t_bool * fun_nat_bool ) > fun_bo1570548802t_bool ).

tff(func_def_310,type,
    hAPP_f800510211t_bool: ( fun_fu821463397t_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_311,type,
    hAPP_f1146629647l_bool: ( fun_fu2104074051l_bool * fun_nat_bool ) > fun_na1469252690l_bool ).

tff(func_def_312,type,
    hAPP_f1061584978t_bool: ( fun_fu1096920966t_bool * fun_nat_bool ) > fun_Pr1643180309t_bool ).

tff(func_def_313,type,
    hAPP_f1212412661t_bool: ( fun_fu613111337t_bool * fun_nat_bool ) > fun_Pr1029464120t_bool ).

tff(func_def_314,type,
    hAPP_f256405365l_bool: ( fun_fu138597289l_bool * fun_nat_bool ) > fun_fu3835832l_bool ).

tff(func_def_315,type,
    hAPP_f103356543l_bool: ( fun_fu1217155507l_bool * fun_nat_bool ) > fun_fu425979586l_bool ).

tff(func_def_316,type,
    hAPP_f561646243l_bool: ( fun_fu1927280855l_bool * fun_nat_bool ) > fun_fu2098777574l_bool ).

tff(func_def_317,type,
    hAPP_f1951378235l_bool: ( fun_fu1436348701l_bool * fun_nat_bool ) > fun_fu814369080l_bool ).

tff(func_def_318,type,
    hAPP_f229466530l_bool: ( fun_fu1182412548l_bool * fun_nat_bool ) > fun_fu638310559l_bool ).

tff(func_def_319,type,
    hAPP_f1472089702t_bool: ( fun_fu1778022682t_bool * fun_nat_bool ) > fun_Pr2067565481t_bool ).

tff(func_def_320,type,
    hAPP_f618557131t_bool: ( fun_fu717290361t_bool * fun_nat_nat ) > fun_nat_fun_nat_bool ).

tff(func_def_321,type,
    hAPP_f66927821l_bool: ( fun_fu1585362869l_bool * fun_nat_nat ) > fun_na1436237685l_bool ).

tff(func_def_322,type,
    hAPP_f1598887207l_bool: ( fun_fu1028680969l_bool * fun_nat_Product_unit ) > fun_fu797415470l_bool ).

tff(func_def_323,type,
    hAPP_f229349961t_bool: ( fun_fu1733046955t_bool * fun_nat_fun_nat_bool ) > fun_nat_fun_nat_bool ).

tff(func_def_324,type,
    hAPP_f416620757at_nat: ( fun_fu522653757at_nat * fun_nat_fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_325,type,
    hAPP_f1722879237t_bool: ( fun_fu80187629t_bool * fun_na1436237685l_bool ) > fun_fu821463397t_bool ).

tff(func_def_326,type,
    hAPP_f2028818269l_bool: ( fun_fu309829899l_bool * fun_Pr1643180309t_bool ) > bool ).

tff(func_def_327,type,
    hAPP_f2030293770ol_nat: ( fun_fu572628082ol_nat * fun_Pr1643180309t_bool ) > nat ).

tff(func_def_328,type,
    hAPP_f543204480t_bool: ( fun_fu988033326t_bool * fun_Pr1643180309t_bool ) > fun_nat_bool ).

tff(func_def_329,type,
    hAPP_f1539020360t_bool: ( fun_fu26755632t_bool * fun_Pr1643180309t_bool ) > fun_na1041622088t_bool ).

tff(func_def_330,type,
    hAPP_f427533077t_bool: ( fun_fu391017725t_bool * fun_Pr1643180309t_bool ) > fun_Pr1643180309t_bool ).

tff(func_def_331,type,
    hAPP_f134177552t_bool: ( fun_fu1463347262t_bool * fun_Pr1643180309t_bool ) > fun_fu1734317328t_bool ).

tff(func_def_332,type,
    hAPP_f272527115l_bool: ( fun_fu43485241l_bool * fun_Pr1643180309t_bool ) > fun_fu309829899l_bool ).

tff(func_def_333,type,
    hAPP_f1327693154t_bool: ( fun_fu1250976912t_bool * fun_Pr1643180309t_bool ) > fun_fu1143287650t_bool ).

tff(func_def_334,type,
    hAPP_f168465001t_bool: ( fun_fu1093357393t_bool * fun_Pr1643180309t_bool ) > fun_fu643686505t_bool ).

tff(func_def_335,type,
    hAPP_f723483871t_bool: ( fun_fu32501645t_bool * fun_Pr1643180309t_bool ) > fun_Pr1069395679t_bool ).

tff(func_def_336,type,
    hAPP_f1950626059l_bool: ( fun_fu486305773l_bool * fun_Product_unit_nat ) > fun_fu599651488l_bool ).

tff(func_def_337,type,
    hAPP_f1974966541l_bool: ( fun_fu1172193141l_bool * fun_Pr1531194158t_bool ) > fun_fu286455014l_bool ).

tff(func_def_338,type,
    hAPP_f1883507597l_bool: ( fun_fu1327602165l_bool * fun_Pr2016729180t_bool ) > fun_fu1625211924l_bool ).

tff(func_def_339,type,
    hAPP_f1942212041l_bool: ( fun_fu1838150827l_bool * fun_Pr1887398791t_bool ) > fun_fu1164115775l_bool ).

tff(func_def_340,type,
    hAPP_f41367117l_bool: ( fun_fu323675445l_bool * fun_Pr2090226719le_alt ) > fun_fu152274135l_bool ).

tff(func_def_341,type,
    hAPP_f225240161l_bool: ( fun_fu672155663l_bool * fun_fu2139962393t_bool ) > bool ).

tff(func_def_342,type,
    hAPP_f826064725l_bool: ( fun_fu1464218807l_bool * fun_fu1771585781l_bool ) > bool ).

tff(func_def_343,type,
    hAPP_f686820739l_bool: ( fun_fu1108528357l_bool * fun_fu2144981539l_bool ) > bool ).

tff(func_def_344,type,
    hAPP_f430646093l_bool: ( fun_fu1607936949l_bool * fun_fu1929591039e_indi ) > fun_fu1304086967l_bool ).

tff(func_def_345,type,
    hAPP_f73423488l_bool: ( fun_fu1370139438l_bool * fun_fu3835832l_bool ) > bool ).

tff(func_def_346,type,
    hAPP_f602722087ol_nat: ( fun_fu777705871ol_nat * fun_fu3835832l_bool ) > nat ).

tff(func_def_347,type,
    hAPP_f1352816552l_bool: ( fun_fu1006882262l_bool * fun_fu3835832l_bool ) > fun_Ar1998664965l_bool ).

tff(func_def_348,type,
    hAPP_f1322579375l_bool: ( fun_fu146711773l_bool * fun_fu3835832l_bool ) > fun_bo2107365004l_bool ).

tff(func_def_349,type,
    hAPP_f743717923t_bool: ( fun_fu1078872017t_bool * fun_fu3835832l_bool ) > fun_nat_bool ).

tff(func_def_350,type,
    hAPP_f1482764601l_bool: ( fun_fu835523175l_bool * fun_fu3835832l_bool ) > fun_Pr537467670l_bool ).

tff(func_def_351,type,
    hAPP_f819682389l_bool: ( fun_fu973465149l_bool * fun_fu3835832l_bool ) > fun_fu3835832l_bool ).

tff(func_def_352,type,
    hAPP_f585353809l_bool: ( fun_fu1785284735l_bool * fun_fu3835832l_bool ) > fun_fu1370139438l_bool ).

tff(func_def_353,type,
    hAPP_f1048573069l_bool: ( fun_fu2080348917l_bool * fun_fu3835832l_bool ) > fun_fu761902960l_bool ).

tff(func_def_354,type,
    hAPP_f1184790797l_bool: ( fun_fu1109942133l_bool * fun_fu1023022254t_unit ) > fun_fu698572390l_bool ).

tff(func_def_355,type,
    hAPP_f1760776521l_bool: ( fun_fu1741788849l_bool * fun_fu361117961l_bool ) > fun_fu973465149l_bool ).

tff(func_def_356,type,
    hAPP_f350323403e_indi: ( fun_fu748153389e_indi * fun_fu2114379172t_bool ) > arrow_856714788e_indi ).

tff(func_def_357,type,
    hAPP_f1572141188l_bool: ( fun_fu2098777574l_bool * fun_fu2114379172t_bool ) > bool ).

tff(func_def_358,type,
    hAPP_f1865816954t_unit: ( fun_fu1480298716t_unit * fun_fu2114379172t_bool ) > product_unit ).

tff(func_def_359,type,
    hAPP_f399308031i_bool: ( fun_fu2109152051i_bool * fun_fu2114379172t_bool ) > fun_Ar1809396326i_bool ).

tff(func_def_360,type,
    hAPP_f414129720l_bool: ( fun_fu1522163052l_bool * fun_fu2114379172t_bool ) > fun_bool_bool ).

tff(func_def_361,type,
    hAPP_f151782958t_bool: ( fun_fu1143287650t_bool * fun_fu2114379172t_bool ) > fun_Pr1643180309t_bool ).

tff(func_def_362,type,
    hAPP_f1714503811l_bool: ( fun_fu1383920485l_bool * fun_fu2114379172t_bool ) > fun_fu1992232028l_bool ).

tff(func_def_363,type,
    hAPP_f1754488902l_bool: ( fun_fu762833832l_bool * fun_fu802339430t_bool ) > bool ).

tff(func_def_364,type,
    hAPP_f67777128l_bool: ( fun_fu1392295702l_bool * fun_fu429484960t_bool ) > bool ).

tff(func_def_365,type,
    hAPP_f1605957262l_bool: ( fun_fu500302576l_bool * fun_fu625915566l_bool ) > bool ).

tff(func_def_366,type,
    hAPP_f1211446716l_bool: ( fun_fu1489407006l_bool * fun_fu962836700l_bool ) > bool ).

tff(func_def_367,type,
    hAPP_f398210311l_bool: ( fun_fu422653621l_bool * fun_fu1618772927l_bool ) > bool ).

tff(func_def_368,type,
    hAPP_f1620711039l_bool: ( fun_fu1304377569l_bool * fun_fu1168191263t_bool ) > bool ).

tff(func_def_369,type,
    hAPP_f736267217l_bool: ( fun_fu1183182719l_bool * fun_fu902912905i_bool ) > bool ).

tff(func_def_370,type,
    hAPP_f1637334154l_bool: ( fun_fu814369080l_bool * fun_fu425979586l_bool ) > bool ).

tff(func_def_371,type,
    hAPP_f537623936l_bool: ( fun_fu797415470l_bool * fun_fu1771765432t_bool ) > bool ).

tff(func_def_372,type,
    hAPP_f339859954l_bool: ( fun_fu599651488l_bool * fun_fu1108851754t_bool ) > bool ).

tff(func_def_373,type,
    hAPP_f1851324036l_bool: ( fun_fu286455014l_bool * fun_fu1638321572l_bool ) > bool ).

tff(func_def_374,type,
    hAPP_f2068478898l_bool: ( fun_fu1625211924l_bool * fun_fu504370642l_bool ) > bool ).

tff(func_def_375,type,
    hAPP_f1426814865l_bool: ( fun_fu1164115775l_bool * fun_fu1110306633l_bool ) > bool ).

tff(func_def_376,type,
    hAPP_f684683381l_bool: ( fun_fu152274135l_bool * fun_fu524263445t_bool ) > bool ).

tff(func_def_377,type,
    hAPP_f665932885l_bool: ( fun_fu1304086967l_bool * fun_fu1864062453i_bool ) > bool ).

tff(func_def_378,type,
    hAPP_f1867557646l_bool: ( fun_fu761902960l_bool * fun_fu1370139438l_bool ) > bool ).

tff(func_def_379,type,
    hAPP_f115957764l_bool: ( fun_fu698572390l_bool * fun_fu1318713124t_bool ) > bool ).

tff(func_def_380,type,
    hAPP_f1411422157l_bool: ( fun_fu1843791925l_bool * fun_fu748153389e_indi ) > fun_fu424058085l_bool ).

tff(func_def_381,type,
    hAPP_f975209902l_bool: ( fun_fu1992232028l_bool * fun_fu2098777574l_bool ) > bool ).

tff(func_def_382,type,
    hAPP_f1049163897ol_nat: ( fun_fu859131105ol_nat * fun_fu2098777574l_bool ) > nat ).

tff(func_def_383,type,
    hAPP_f258290692l_bool: ( fun_fu546411570l_bool * fun_fu2098777574l_bool ) > fun_Ar1321653811l_bool ).

tff(func_def_384,type,
    hAPP_f369767947l_bool: ( fun_fu571526969l_bool * fun_fu2098777574l_bool ) > fun_bo1445676730l_bool ).

tff(func_def_385,type,
    hAPP_f1705385041t_bool: ( fun_fu309681663t_bool * fun_fu2098777574l_bool ) > fun_nat_bool ).

tff(func_def_386,type,
    hAPP_f956752277l_bool: ( fun_fu810527939l_bool * fun_fu2098777574l_bool ) > fun_Pr151242052l_bool ).

tff(func_def_387,type,
    hAPP_f1181604821l_bool: ( fun_fu1297042877l_bool * fun_fu2098777574l_bool ) > fun_fu2098777574l_bool ).

tff(func_def_388,type,
    hAPP_f916323245l_bool: ( fun_fu2060968923l_bool * fun_fu2098777574l_bool ) > fun_fu1992232028l_bool ).

tff(func_def_389,type,
    hAPP_f59810573l_bool: ( fun_fu2017702261l_bool * fun_fu2098777574l_bool ) > fun_fu178397086l_bool ).

tff(func_def_390,type,
    hAPP_f1494690701l_bool: ( fun_fu224426485l_bool * fun_fu1480298716t_unit ) > fun_fu1796799636l_bool ).

tff(func_def_391,type,
    hAPP_f1169241965l_bool: ( fun_fu1818294997l_bool * fun_fu1383920485l_bool ) > fun_fu1297042877l_bool ).

tff(func_def_392,type,
    hAPP_f2350467l_bool: ( fun_fu424058085l_bool * fun_fu523608611i_bool ) > bool ).

tff(func_def_393,type,
    hAPP_f2047920444l_bool: ( fun_fu178397086l_bool * fun_fu1992232028l_bool ) > bool ).

tff(func_def_394,type,
    hAPP_f92582962l_bool: ( fun_fu1796799636l_bool * fun_fu186682962t_bool ) > bool ).

tff(func_def_395,type,
    hAPP_f679138160l_bool: ( fun_fu1975854110l_bool * fun_fu1406810280i_bool ) > bool ).

tff(func_def_396,type,
    hAPP_f1686510249l_bool: ( fun_fu1710953559l_bool * fun_fu2013733473l_bool ) > bool ).

tff(func_def_397,type,
    hAPP_f1478188703l_bool: ( fun_fu1215489613l_bool * fun_fu1703884119t_bool ) > bool ).

tff(func_def_398,type,
    hAPP_f2124588998l_bool: ( fun_fu1132933928l_bool * fun_fu902545894i_bool ) > bool ).

tff(func_def_399,type,
    hAPP_f1006969351l_bool: ( fun_fu687131369l_bool * fun_fu562005862e_indi ) > fun_fu1975854110l_bool ).

tff(func_def_400,type,
    hAPP_f182583295l_bool: ( fun_fu2013733473l_bool * fun_fu638310559l_bool ) > bool ).

tff(func_def_401,type,
    hAPP_f1487854056ol_nat: ( fun_fu955147676ol_nat * fun_fu638310559l_bool ) > nat ).

tff(func_def_402,type,
    hAPP_f1717907078l_bool: ( fun_fu1868761018l_bool * fun_fu638310559l_bool ) > fun_Ar1474557608l_bool ).

tff(func_def_403,type,
    hAPP_f86272063l_bool: ( fun_fu151575155l_bool * fun_fu638310559l_bool ) > fun_bo377688929l_bool ).

tff(func_def_404,type,
    hAPP_f2063587362t_bool: ( fun_fu1632756612t_bool * fun_fu638310559l_bool ) > fun_nat_bool ).

tff(func_def_405,type,
    hAPP_f502523701l_bool: ( fun_fu109527913l_bool * fun_fu638310559l_bool ) > fun_Pr1791323223l_bool ).

tff(func_def_406,type,
    hAPP_f1104294872l_bool: ( fun_fu329401612l_bool * fun_fu638310559l_bool ) > fun_fu1863781882l_bool ).

tff(func_def_407,type,
    hAPP_f1930590713l_bool: ( fun_fu1253304283l_bool * fun_fu638310559l_bool ) > fun_fu1710953559l_bool ).

tff(func_def_408,type,
    hAPP_f1722316607l_bool: ( fun_fu1265985907l_bool * fun_fu638310559l_bool ) > fun_fu2013733473l_bool ).

tff(func_def_409,type,
    hAPP_f1060563265l_bool: ( fun_fu1824295331l_bool * fun_fu638310559l_bool ) > fun_fu638310559l_bool ).

tff(func_def_410,type,
    hAPP_f1329172965l_bool: ( fun_fu2020020679l_bool * fun_fu665686165t_unit ) > fun_fu1215489613l_bool ).

tff(func_def_411,type,
    hAPP_f1776355587l_bool: ( fun_fu452089579l_bool * fun_fu864675765l_bool ) > fun_fu1824295331l_bool ).

tff(func_def_412,type,
    hAPP_f1159856629l_bool: ( fun_fu627447383l_bool * fun_fu1428746645t_bool ) > bool ).

tff(func_def_413,type,
    hAPP_f1187850253l_bool: ( fun_fu916781301l_bool * fun_Pr1509342064e_indi ) > fun_fu1132933928l_bool ).

tff(func_def_414,type,
    hAPP_f9587896e_indi: ( fun_fu562005862e_indi * fun_Pr2067565481t_bool ) > arrow_856714788e_indi ).

tff(func_def_415,type,
    hAPP_f52567537l_bool: ( fun_fu638310559l_bool * fun_Pr2067565481t_bool ) > bool ).

tff(func_def_416,type,
    hAPP_f1842225014ol_nat: ( fun_fu841105374ol_nat * fun_Pr2067565481t_bool ) > nat ).

tff(func_def_417,type,
    hAPP_f801675751t_unit: ( fun_fu665686165t_unit * fun_Pr2067565481t_bool ) > product_unit ).

tff(func_def_418,type,
    hAPP_f234621849t_bool: ( fun_fu1534804551t_bool * fun_Pr2067565481t_bool ) > fun_Ar17477381t_bool ).

tff(func_def_419,type,
    hAPP_f449303873t_bool: ( fun_fu1118734319t_bool * fun_Pr2067565481t_bool ) > fun_Ar331856045t_bool ).

tff(func_def_420,type,
    hAPP_f1550387441t_bool: ( fun_fu1287834969t_bool * fun_Pr2067565481t_bool ) > fun_Ar797671557t_bool ).

tff(func_def_421,type,
    hAPP_f1761571331t_bool: ( fun_fu1679793515t_bool * fun_Pr2067565481t_bool ) > fun_Ar1573071255t_bool ).

tff(func_def_422,type,
    hAPP_f2010315474i_bool: ( fun_fu2142850746i_bool * fun_Pr2067565481t_bool ) > fun_Ar1809396326i_bool ).

tff(func_def_423,type,
    hAPP_f1344464862t_bool: ( fun_fu230081932t_bool * fun_Pr2067565481t_bool ) > fun_Ar516759882t_bool ).

tff(func_def_424,type,
    hAPP_f480276746t_bool: ( fun_fu1847201208t_bool * fun_Pr2067565481t_bool ) > fun_Ar274636406t_bool ).

tff(func_def_425,type,
    hAPP_f463104139l_bool: ( fun_fu237781875l_bool * fun_Pr2067565481t_bool ) > fun_bool_bool ).

tff(func_def_426,type,
    hAPP_f1723896209t_bool: ( fun_fu1414555455t_bool * fun_Pr2067565481t_bool ) > fun_bo1431306493t_bool ).

tff(func_def_427,type,
    hAPP_f703394068t_bool: ( fun_fu477456066t_bool * fun_Pr2067565481t_bool ) > fun_nat_bool ).

tff(func_def_428,type,
    hAPP_f1400551297t_bool: ( fun_fu643686505t_bool * fun_Pr2067565481t_bool ) > fun_Pr1643180309t_bool ).

tff(func_def_429,type,
    hAPP_f15777819t_bool: ( fun_fu1648543689t_bool * fun_Pr2067565481t_bool ) > fun_Pr1887398791t_bool ).

tff(func_def_430,type,
    hAPP_f1482930381l_bool: ( fun_fu864675765l_bool * fun_Pr2067565481t_bool ) > fun_fu2013733473l_bool ).

tff(func_def_431,type,
    hAPP_f930900275l_bool: ( fun_fu643206625l_bool * fun_Pr2067565481t_bool ) > fun_fu638310559l_bool ).

tff(func_def_432,type,
    hAPP_f1299954409t_bool: ( fun_fu297564241t_bool * fun_Pr2067565481t_bool ) > fun_fu1550952061t_bool ).

tff(func_def_433,type,
    hAPP_f1356305429t_bool: ( fun_fu1550952061t_bool * fun_Pr2067565481t_bool ) > fun_Pr2067565481t_bool ).

tff(func_def_434,type,
    hAPP_f1700632141l_bool: ( fun_fu318801205l_bool * fun_Pr376858015t_unit ) > fun_fu627447383l_bool ).

tff(func_def_435,type,
    hAPP_f1033183015t_bool: ( fun_fu598681231t_bool * fun_Pr1085078251l_bool ) > fun_fu1550952061t_bool ).

tff(func_def_436,type,
    hAPP_P276596750e_indi: ( fun_Pr1509342064e_indi * produc472769767le_alt ) > arrow_856714788e_indi ).

tff(func_def_437,type,
    hAPP_P1178790471t_bool: ( fun_Pr2067565481t_bool * produc472769767le_alt ) > bool ).

tff(func_def_438,type,
    hAPP_P1069491261t_unit: ( fun_Pr376858015t_unit * produc472769767le_alt ) > product_unit ).

tff(func_def_439,type,
    hAPP_P1859429372i_bool: ( fun_Pr895221296i_bool * produc472769767le_alt ) > fun_Ar1809396326i_bool ).

tff(func_def_440,type,
    hAPP_P1103642805l_bool: ( fun_Pr1780397033l_bool * produc472769767le_alt ) > fun_bool_bool ).

tff(func_def_441,type,
    hAPP_P2037731755t_bool: ( fun_Pr1069395679t_bool * produc472769767le_alt ) > fun_Pr1643180309t_bool ).

tff(func_def_442,type,
    hAPP_P38525833l_bool: ( fun_Pr1085078251l_bool * produc472769767le_alt ) > fun_fu638310559l_bool ).

tff(func_def_443,type,
    member1479139729e_indi: fun_Ar1047186533l_bool ).

tff(func_def_444,type,
    member_bool: fun_bo492988759l_bool ).

tff(func_def_445,type,
    member_nat: fun_na1436237685l_bool ).

tff(func_def_446,type,
    member_Product_unit: fun_Pr1863373635l_bool ).

tff(func_def_447,type,
    member1502495556di_nat: fun_fu1367082059l_bool ).

tff(func_def_448,type,
    member1124505298t_bool: fun_fu846523317l_bool ).

tff(func_def_449,type,
    member785631232t_bool: fun_fu1072826421l_bool ).

tff(func_def_450,type,
    member933336803t_bool: fun_fu361117961l_bool ).

tff(func_def_451,type,
    member387840963le_alt: fun_fu2141985013l_bool ).

tff(func_def_452,type,
    member_fun_bool_nat: fun_fu1531935961l_bool ).

tff(func_def_453,type,
    member344984203t_bool: fun_fu302299893l_bool ).

tff(func_def_454,type,
    member1782492345t_bool: fun_fu1407717749l_bool ).

tff(func_def_455,type,
    member1133581546t_bool: fun_fu827796887l_bool ).

tff(func_def_456,type,
    member684813948le_alt: fun_fu662095797l_bool ).

tff(func_def_457,type,
    member1530714804e_indi: fun_fu1544203051l_bool ).

tff(func_def_458,type,
    member_fun_nat_bool: fun_fu1436348701l_bool ).

tff(func_def_459,type,
    member1024687843t_unit: fun_fu1028680969l_bool ).

tff(func_def_460,type,
    member87760213it_nat: fun_fu486305773l_bool ).

tff(func_def_461,type,
    member364267905t_bool: fun_fu1172193141l_bool ).

tff(func_def_462,type,
    member480326063t_bool: fun_fu1327602165l_bool ).

tff(func_def_463,type,
    member803887220t_bool: fun_fu1838150827l_bool ).

tff(func_def_464,type,
    member869664626le_alt: fun_fu323675445l_bool ).

tff(func_def_465,type,
    member282602450e_indi: fun_fu1607936949l_bool ).

tff(func_def_466,type,
    member1020280587l_bool: fun_fu2080348917l_bool ).

tff(func_def_467,type,
    member2003579649t_unit: fun_fu1109942133l_bool ).

tff(func_def_468,type,
    member173038353t_bool: fun_fu1383920485l_bool ).

tff(func_def_469,type,
    member1247254528e_indi: fun_fu1843791925l_bool ).

tff(func_def_470,type,
    member1173995577l_bool: fun_fu2017702261l_bool ).

tff(func_def_471,type,
    member2091379247t_unit: fun_fu224426485l_bool ).

tff(func_def_472,type,
    member1220706259e_indi: fun_fu687131369l_bool ).

tff(func_def_473,type,
    member340585612l_bool: fun_fu1253304283l_bool ).

tff(func_def_474,type,
    member1729658242t_unit: fun_fu2020020679l_bool ).

tff(func_def_475,type,
    member1558233923e_indi: fun_fu916781301l_bool ).

tff(func_def_476,type,
    member1069471740t_bool: fun_fu864675765l_bool ).

tff(func_def_477,type,
    member1303779570t_unit: fun_fu318801205l_bool ).

tff(func_def_478,type,
    member1333168212le_alt: fun_Pr1085078251l_bool ).

tff(func_def_479,type,
    f: fun_fu2114379172t_bool ).

tff(func_def_480,type,
    lab: fun_Pr2067565481t_bool ).

tff(func_def_481,type,
    lba: fun_Pr2067565481t_bool ).

tff(func_def_482,type,
    p: fun_Ar274636406t_bool ).

tff(func_def_483,type,
    a: arrow_1893660431le_alt ).

tff(func_def_484,type,
    b: arrow_1893660431le_alt ).

tff(func_def_485,type,
    c: arrow_1893660431le_alt ).

tff(func_def_486,type,
    d: arrow_1893660431le_alt ).

tff(func_def_487,type,
    e: arrow_1893660431le_alt ).

tff(func_def_488,type,
    h: fun_Ar671024215di_nat ).

tff(func_def_489,type,
    n: nat ).

tff(func_def_490,type,
    sK3: ( fun_Pr2067565481t_bool * fun_Pr2067565481t_bool ) > arrow_1893660431le_alt ).

tff(func_def_491,type,
    sK4: ( fun_Pr2067565481t_bool * fun_Pr2067565481t_bool ) > arrow_1893660431le_alt ).

tff(func_def_492,type,
    sK5: ( fun_Ar274636406t_bool * fun_Ar274636406t_bool * arrow_1893660431le_alt * arrow_1893660431le_alt ) > arrow_856714788e_indi ).

tff(func_def_493,type,
    sK6: ( fun_Ar274636406t_bool * fun_Ar274636406t_bool * arrow_1893660431le_alt * arrow_1893660431le_alt * arrow_1893660431le_alt * arrow_1893660431le_alt ) > arrow_856714788e_indi ).

tff(func_def_494,type,
    sK7: ( fun_Ar274636406t_bool * fun_Ar274636406t_bool * arrow_1893660431le_alt * arrow_1893660431le_alt * arrow_1893660431le_alt ) > arrow_856714788e_indi ).

tff(func_def_495,type,
    sK8: ( fun_Ar274636406t_bool * fun_Ar274636406t_bool * arrow_1893660431le_alt * arrow_1893660431le_alt * arrow_1893660431le_alt * arrow_1893660431le_alt ) > arrow_856714788e_indi ).

tff(func_def_496,type,
    sK9: ( fun_Ar274636406t_bool * fun_Ar274636406t_bool * arrow_1893660431le_alt * arrow_1893660431le_alt * arrow_1893660431le_alt * arrow_1893660431le_alt ) > arrow_856714788e_indi ).

tff(func_def_497,type,
    sF10: fun_Ar245737999le_alt ).

tff(func_def_498,type,
    sF11: produc472769767le_alt ).

tff(func_def_499,type,
    sF12: fun_fu638310559l_bool ).

tff(func_def_500,type,
    sF13: fun_Pr2067565481t_bool ).

tff(func_def_501,type,
    sF14: bool ).

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

tff(pred_def_2,type,
    sP0: arrow_856714788e_indi > $o ).

tff(pred_def_3,type,
    sP1: arrow_856714788e_indi > $o ).

tff(pred_def_4,type,
    sP2: arrow_856714788e_indi > $o ).

tff(f1485,plain,
    $false,
    inference(subsumption_resolution,[],[f1484,f1472]) ).

tff(f1472,plain,
    ~ hBOOL(hAPP_f52567537l_bool(sF12,hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))),
    inference(forward_demodulation,[],[f1471,f1435]) ).

tff(f1435,plain,
    hAPP_P38525833l_bool(member1333168212le_alt,sF11) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

tff(f1471,plain,
    ~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,sF11),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))),
    inference(forward_demodulation,[],[f1470,f1434]) ).

tff(f1434,plain,
    hAPP_A1299015393le_alt(sF10,d) = sF11,
    introduced(function_definition,[new_symbols(definition,[sF11])]) ).

tff(f1470,plain,
    ~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(sF10,d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))),
    inference(forward_demodulation,[],[f1469,f1433]) ).

tff(f1433,plain,
    hAPP_A1146194953le_alt(produc1590937303le_alt,c) = sF10,
    introduced(function_definition,[new_symbols(definition,[sF10])]) ).

tff(f1469,plain,
    ~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))),
    inference(subsumption_resolution,[],[f1468,f1438]) ).

tff(f1438,plain,
    ~ hBOOL(sF14),
    inference(definition_folding,[],[f1356,f1437,f1436,f1435,f1434,f1433]) ).

tff(f1436,plain,
    hAPP_f2008608496t_bool(f,p) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

tff(f1437,plain,
    hAPP_f52567537l_bool(sF12,sF13) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

tff(f1356,plain,
    ~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,p))),
    inference(cnf_transformation,[],[f1281]) ).

tff(f1281,plain,
    ~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,p))),
    inference(flattening,[],[f1280]) ).

tff(f1280,negated_conjecture,
    ~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,p))),
    inference(negated_conjecture,[],[f1279]) ).

tff(f1279,conjecture,
    hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,p))),
    file('/export/starexec/sandbox2/tmp/tmp.Bo81DRUjcN/Vampire---4.8_15423',conj_0) ).

tff(f1468,plain,
    ( hBOOL(sF14)
    | ~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))) ),
    inference(forward_demodulation,[],[f1467,f1437]) ).

tff(f1467,plain,
    ( hBOOL(hAPP_f52567537l_bool(sF12,sF13))
    | ~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))) ),
    inference(forward_demodulation,[],[f1466,f1435]) ).

tff(f1466,plain,
    ( hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,sF11),sF13))
    | ~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))) ),
    inference(forward_demodulation,[],[f1465,f1434]) ).

tff(f1465,plain,
    ( hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(sF10,d)),sF13))
    | ~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))) ),
    inference(forward_demodulation,[],[f1464,f1433]) ).

tff(f1464,plain,
    ( hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),sF13))
    | ~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))) ),
    inference(forward_demodulation,[],[f1396,f1436]) ).

tff(f1396,plain,
    ( hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,p)))
    | ~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))) ),
    inference(cnf_transformation,[],[f1345]) ).

tff(f1345,plain,
    ( ( hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,p)))
      | ~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))) )
    & ( hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e))))))
      | ~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,p))) ) ),
    inference(nnf_transformation,[],[f15]) ).

tff(f15,axiom,
    ( hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,p)))
  <=> hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))) ),
    file('/export/starexec/sandbox2/tmp/tmp.Bo81DRUjcN/Vampire---4.8_15423',fact_14_PW) ).

tff(f1484,plain,
    hBOOL(hAPP_f52567537l_bool(sF12,hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))),
    inference(forward_demodulation,[],[f1483,f1435]) ).

tff(f1483,plain,
    hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,sF11),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))),
    inference(forward_demodulation,[],[f1482,f1434]) ).

tff(f1482,plain,
    hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(sF10,d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))),
    inference(forward_demodulation,[],[f1397,f1433]) ).

tff(f1397,plain,
    hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,axiom,
    hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))),
    file('/export/starexec/sandbox2/tmp/tmp.Bo81DRUjcN/Vampire---4.8_15423',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SCT171_3 : TPTP v8.1.2. Released v5.3.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n027.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 17:03:03 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a TF0_THM_EQU_NAR problem
% 0.15/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.Bo81DRUjcN/Vampire---4.8_15423
% 0.71/0.88  % (15640)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.71/0.88  % (15639)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.71/0.88  % (15642)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.71/0.88  % (15637)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2994ds/34Mi)
% 0.71/0.88  % (15638)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2994ds/51Mi)
% 0.71/0.88  % (15641)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2994ds/34Mi)
% 0.71/0.88  % (15643)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2994ds/83Mi)
% 0.71/0.88  % (15644)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2994ds/56Mi)
% 0.71/0.88  % (15640)Refutation not found, incomplete strategy% (15640)------------------------------
% 0.71/0.88  % (15640)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.88  % (15640)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.88  
% 0.71/0.88  % (15640)Memory used [KB]: 2588
% 0.71/0.88  % (15640)Time elapsed: 0.005 s
% 0.71/0.88  % (15640)Instructions burned: 12 (million)
% 0.71/0.88  % (15640)------------------------------
% 0.71/0.88  % (15640)------------------------------
% 0.71/0.88  % (15642)Refutation not found, incomplete strategy% (15642)------------------------------
% 0.71/0.88  % (15642)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.88  % (15642)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.88  
% 0.71/0.88  % (15642)Memory used [KB]: 2635
% 0.71/0.88  % (15642)Time elapsed: 0.006 s
% 0.71/0.88  % (15642)Instructions burned: 18 (million)
% 0.71/0.88  % (15642)------------------------------
% 0.71/0.88  % (15642)------------------------------
% 0.71/0.88  % (15644)Refutation not found, incomplete strategy% (15644)------------------------------
% 0.71/0.88  % (15644)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.88  % (15644)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.88  
% 0.71/0.88  % (15644)Memory used [KB]: 2611
% 0.71/0.88  % (15644)Time elapsed: 0.007 s
% 0.71/0.88  % (15644)Instructions burned: 21 (million)
% 0.71/0.88  % (15644)------------------------------
% 0.71/0.88  % (15644)------------------------------
% 0.71/0.88  % (15645)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2994ds/55Mi)
% 0.71/0.88  % (15646)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2994ds/50Mi)
% 0.71/0.89  % (15637)Instruction limit reached!
% 0.71/0.89  % (15637)------------------------------
% 0.71/0.89  % (15637)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.89  % (15637)Termination reason: Unknown
% 0.71/0.89  % (15637)Termination phase: Saturation
% 0.71/0.89  
% 0.71/0.89  % (15637)Memory used [KB]: 2718
% 0.71/0.89  % (15637)Time elapsed: 0.010 s
% 0.71/0.89  % (15637)Instructions burned: 34 (million)
% 0.71/0.89  % (15637)------------------------------
% 0.71/0.89  % (15637)------------------------------
% 0.71/0.89  % (15647)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/208Mi)
% 0.71/0.89  % (15641)Instruction limit reached!
% 0.71/0.89  % (15641)------------------------------
% 0.71/0.89  % (15641)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.89  % (15641)Termination reason: Unknown
% 0.71/0.89  % (15641)Termination phase: Naming
% 0.71/0.89  
% 0.71/0.89  % (15641)Memory used [KB]: 3976
% 0.71/0.89  % (15641)Time elapsed: 0.011 s
% 0.71/0.89  % (15641)Instructions burned: 35 (million)
% 0.71/0.89  % (15641)------------------------------
% 0.71/0.89  % (15641)------------------------------
% 0.71/0.89  % (15648)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2994ds/52Mi)
% 0.71/0.89  % (15649)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2994ds/518Mi)
% 0.71/0.89  % (15638)Instruction limit reached!
% 0.71/0.89  % (15638)------------------------------
% 0.71/0.89  % (15638)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.89  % (15638)Termination reason: Unknown
% 0.71/0.89  % (15638)Termination phase: Preprocessing 3
% 0.71/0.89  
% 0.71/0.89  % (15638)Memory used [KB]: 4247
% 0.71/0.89  % (15638)Time elapsed: 0.016 s
% 0.71/0.89  % (15638)Instructions burned: 54 (million)
% 0.71/0.89  % (15638)------------------------------
% 0.71/0.89  % (15638)------------------------------
% 0.71/0.89  % (15647)First to succeed.
% 0.71/0.89  % (15650)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2994ds/42Mi)
% 0.77/0.90  % (15647)Refutation found. Thanks to Tanya!
% 0.77/0.90  % SZS status Theorem for Vampire---4
% 0.77/0.90  % SZS output start Proof for Vampire---4
% See solution above
% 0.77/0.90  % (15647)------------------------------
% 0.77/0.90  % (15647)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.90  % (15647)Termination reason: Refutation
% 0.77/0.90  
% 0.77/0.90  % (15647)Memory used [KB]: 2691
% 0.77/0.90  % (15647)Time elapsed: 0.011 s
% 0.77/0.90  % (15647)Instructions burned: 37 (million)
% 0.77/0.90  % (15647)------------------------------
% 0.77/0.90  % (15647)------------------------------
% 0.77/0.90  % (15589)Success in time 0.551 s
% 0.77/0.90  % Vampire---4.8 exiting
%------------------------------------------------------------------------------