Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SCT170_2 : TPTP v9.3.1. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:37:06 PM UTC 2026

% Result   : Theorem 12.00s 2.63s
% Output   : Refutation 12.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  162 (  53 unt;   0 typ;  17 def)
%            Number of atoms       :  494 ( 170 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  533 ( 201   ~; 256   |;  50   &)
%                                         (  14 <=>;  11  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :  468 ( 467 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;   6 prp; 0-5 aty)
%            Number of functors    : 1082 (1082 usr; 273 con; 0-6 aty)
%            Number of variables   :  183 (   0 sgn 175   !;   8   ?; 183   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    arrow_931160158le_alt: $tType ).

tff(type_def_6,type,
    arrow_2115524757e_indi: $tType ).

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

tff(type_def_8,type,
    list_A1748581779le_alt: $tType ).

tff(type_def_9,type,
    list_A964264886e_indi: $tType ).

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

tff(type_def_11,type,
    list_l1735481012le_alt: $tType ).

tff(type_def_12,type,
    list_f767102118t_bool: $tType ).

tff(type_def_13,type,
    list_f1301614006t_bool: $tType ).

tff(type_def_14,type,
    list_f418358302t_bool: $tType ).

tff(type_def_15,type,
    list_P1216503240le_alt: $tType ).

tff(type_def_16,type,
    list_P1493174166le_alt: $tType ).

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

tff(type_def_18,type,
    fun_Ar1091019988t_bool: $tType ).

tff(type_def_19,type,
    fun_Ar1553825290le_alt: $tType ).

tff(type_def_20,type,
    fun_Ar1414184139t_bool: $tType ).

tff(type_def_21,type,
    fun_Ar1689125069l_bool: $tType ).

tff(type_def_22,type,
    fun_Ar1164786343t_bool: $tType ).

tff(type_def_23,type,
    fun_Ar2049444117le_alt: $tType ).

tff(type_def_24,type,
    fun_Ar2078312923t_bool: $tType ).

tff(type_def_25,type,
    fun_Ar421919996t_bool: $tType ).

tff(type_def_26,type,
    fun_Ar283682666le_alt: $tType ).

tff(type_def_27,type,
    fun_Ar370769269l_bool: $tType ).

tff(type_def_28,type,
    fun_Ar1236339238l_bool: $tType ).

tff(type_def_29,type,
    fun_Ar968139788t_bool: $tType ).

tff(type_def_30,type,
    fun_Ar1311475510l_bool: $tType ).

tff(type_def_31,type,
    fun_Ar1026121174l_bool: $tType ).

tff(type_def_32,type,
    fun_Ar1364097613t_bool: $tType ).

tff(type_def_33,type,
    fun_Ar1275715144t_bool: $tType ).

tff(type_def_34,type,
    fun_Ar836847646le_alt: $tType ).

tff(type_def_35,type,
    fun_Ar552120407i_bool: $tType ).

tff(type_def_36,type,
    fun_Ar1583656131t_bool: $tType ).

tff(type_def_37,type,
    fun_Ar698916836t_bool: $tType ).

tff(type_def_38,type,
    fun_Ar1906539123i_bool: $tType ).

tff(type_def_39,type,
    fun_Ar687924991t_bool: $tType ).

tff(type_def_40,type,
    fun_Ar743199503e_indi: $tType ).

tff(type_def_41,type,
    fun_Ar1717876185e_indi: $tType ).

tff(type_def_42,type,
    fun_Ar1380772935l_bool: $tType ).

tff(type_def_43,type,
    fun_Ar684516451l_bool: $tType ).

tff(type_def_44,type,
    fun_Ar1939863823t_bool: $tType ).

tff(type_def_45,type,
    fun_Ar1270429299l_bool: $tType ).

tff(type_def_46,type,
    fun_Ar1198543961l_bool: $tType ).

tff(type_def_47,type,
    fun_Ar500372357t_bool: $tType ).

tff(type_def_48,type,
    fun_Ar369661729le_alt: $tType ).

tff(type_def_49,type,
    fun_Ar98554099e_indi: $tType ).

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

tff(type_def_51,type,
    fun_bo687293974t_bool: $tType ).

tff(type_def_52,type,
    fun_bo353189547i_bool: $tType ).

tff(type_def_53,type,
    fun_bo266809543t_bool: $tType ).

tff(type_def_54,type,
    fun_bo1549164019l_bool: $tType ).

tff(type_def_55,type,
    fun_bo1175459231l_bool: $tType ).

tff(type_def_56,type,
    fun_bo1175651857t_bool: $tType ).

tff(type_def_57,type,
    fun_bo645734555l_bool: $tType ).

tff(type_def_58,type,
    fun_bo2027801303t_bool: $tType ).

tff(type_def_59,type,
    fun_bo492988759l_bool: $tType ).

tff(type_def_60,type,
    fun_bo979888811l_bool: $tType ).

tff(type_def_61,type,
    fun_bo96602657l_bool: $tType ).

tff(type_def_62,type,
    fun_bo1116297149t_bool: $tType ).

tff(type_def_63,type,
    fun_bo1479727337le_alt: $tType ).

tff(type_def_64,type,
    fun_bo41233099l_bool: $tType ).

tff(type_def_65,type,
    fun_li1323594581t_bool: $tType ).

tff(type_def_66,type,
    fun_li165117579le_alt: $tType ).

tff(type_def_67,type,
    fun_li1563304834le_alt: $tType ).

tff(type_def_68,type,
    fun_li954148211t_bool: $tType ).

tff(type_def_69,type,
    fun_li973302697le_alt: $tType ).

tff(type_def_70,type,
    fun_li971691843l_bool: $tType ).

tff(type_def_71,type,
    fun_li1501328101le_alt: $tType ).

tff(type_def_72,type,
    fun_li1598912907le_alt: $tType ).

tff(type_def_73,type,
    fun_li799656667le_alt: $tType ).

tff(type_def_74,type,
    fun_li816612014le_alt: $tType ).

tff(type_def_75,type,
    fun_li1644014275l_bool: $tType ).

tff(type_def_76,type,
    fun_li897167357le_alt: $tType ).

tff(type_def_77,type,
    fun_li1459246747le_alt: $tType ).

tff(type_def_78,type,
    fun_li1990043301l_bool: $tType ).

tff(type_def_79,type,
    fun_li1761430841t_bool: $tType ).

tff(type_def_80,type,
    fun_li1019735149le_alt: $tType ).

tff(type_def_81,type,
    fun_li352365677le_alt: $tType ).

tff(type_def_82,type,
    fun_li60471852i_bool: $tType ).

tff(type_def_83,type,
    fun_li1314718141e_indi: $tType ).

tff(type_def_84,type,
    fun_li2140397636e_indi: $tType ).

tff(type_def_85,type,
    fun_li643095493e_indi: $tType ).

tff(type_def_86,type,
    fun_li670536054e_indi: $tType ).

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

tff(type_def_88,type,
    fun_li107039421t_bool: $tType ).

tff(type_def_89,type,
    fun_li662746748t_bool: $tType ).

tff(type_def_90,type,
    fun_li998062677t_bool: $tType ).

tff(type_def_91,type,
    fun_li1455667518t_bool: $tType ).

tff(type_def_92,type,
    fun_li31015210t_bool: $tType ).

tff(type_def_93,type,
    fun_li300043069le_alt: $tType ).

tff(type_def_94,type,
    fun_li1505404791t_bool: $tType ).

tff(type_def_95,type,
    fun_li1383239238le_alt: $tType ).

tff(type_def_96,type,
    fun_li1343239489le_alt: $tType ).

tff(type_def_97,type,
    fun_li1994300660le_alt: $tType ).

tff(type_def_98,type,
    fun_li1450775836l_bool: $tType ).

tff(type_def_99,type,
    fun_li161324989t_bool: $tType ).

tff(type_def_100,type,
    fun_li1389414228t_bool: $tType ).

tff(type_def_101,type,
    fun_li91123621t_bool: $tType ).

tff(type_def_102,type,
    fun_li955997798t_bool: $tType ).

tff(type_def_103,type,
    fun_li1375950892l_bool: $tType ).

tff(type_def_104,type,
    fun_li1015506365t_bool: $tType ).

tff(type_def_105,type,
    fun_li709301828t_bool: $tType ).

tff(type_def_106,type,
    fun_li129567685t_bool: $tType ).

tff(type_def_107,type,
    fun_li1023937398t_bool: $tType ).

tff(type_def_108,type,
    fun_li1766616672l_bool: $tType ).

tff(type_def_109,type,
    fun_li1979451553t_bool: $tType ).

tff(type_def_110,type,
    fun_li952503796t_bool: $tType ).

tff(type_def_111,type,
    fun_li1568376929t_bool: $tType ).

tff(type_def_112,type,
    fun_li1141377422t_bool: $tType ).

tff(type_def_113,type,
    fun_li1818542910t_bool: $tType ).

tff(type_def_114,type,
    fun_li1823148605le_alt: $tType ).

tff(type_def_115,type,
    fun_li276060722le_alt: $tType ).

tff(type_def_116,type,
    fun_li968062313le_alt: $tType ).

tff(type_def_117,type,
    fun_li143639560le_alt: $tType ).

tff(type_def_118,type,
    fun_li1991898892t_bool: $tType ).

tff(type_def_119,type,
    fun_li1869461181le_alt: $tType ).

tff(type_def_120,type,
    fun_li907508836le_alt: $tType ).

tff(type_def_121,type,
    fun_li601079429le_alt: $tType ).

tff(type_def_122,type,
    fun_li1636878678le_alt: $tType ).

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

tff(type_def_124,type,
    fun_na1941391286le_alt: $tType ).

tff(type_def_125,type,
    fun_na1791315646le_alt: $tType ).

tff(type_def_126,type,
    fun_na1988220144e_indi: $tType ).

tff(type_def_127,type,
    fun_na1279735280t_bool: $tType ).

tff(type_def_128,type,
    fun_na675742448t_bool: $tType ).

tff(type_def_129,type,
    fun_na1841387760t_bool: $tType ).

tff(type_def_130,type,
    fun_na699842004t_bool: $tType ).

tff(type_def_131,type,
    fun_na401775984le_alt: $tType ).

tff(type_def_132,type,
    fun_na135885296le_alt: $tType ).

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

tff(type_def_134,type,
    fun_fu1818556950l_bool: $tType ).

tff(type_def_135,type,
    fun_fu978317837t_bool: $tType ).

tff(type_def_136,type,
    fun_fu1186836443t_bool: $tType ).

tff(type_def_137,type,
    fun_fu1620540139t_bool: $tType ).

tff(type_def_138,type,
    fun_fu1015931279t_bool: $tType ).

tff(type_def_139,type,
    fun_fu1995322877t_bool: $tType ).

tff(type_def_140,type,
    fun_fu29102929le_alt: $tType ).

tff(type_def_141,type,
    fun_fu1888849659t_bool: $tType ).

tff(type_def_142,type,
    fun_fu334859135t_bool: $tType ).

tff(type_def_143,type,
    fun_fu960970567l_bool: $tType ).

tff(type_def_144,type,
    fun_fu1461160766l_bool: $tType ).

tff(type_def_145,type,
    fun_fu1606938133l_bool: $tType ).

tff(type_def_146,type,
    fun_fu1981597653le_alt: $tType ).

tff(type_def_147,type,
    fun_fu161865806l_bool: $tType ).

tff(type_def_148,type,
    fun_fu844367925l_bool: $tType ).

tff(type_def_149,type,
    fun_fu709917073t_bool: $tType ).

tff(type_def_150,type,
    fun_fu1498496639t_bool: $tType ).

tff(type_def_151,type,
    fun_fu156643262l_bool: $tType ).

tff(type_def_152,type,
    fun_fu421594869l_bool: $tType ).

tff(type_def_153,type,
    fun_fu846923616t_bool: $tType ).

tff(type_def_154,type,
    fun_fu1476972377l_bool: $tType ).

tff(type_def_155,type,
    fun_fu308010585l_bool: $tType ).

tff(type_def_156,type,
    fun_fu1657302605l_bool: $tType ).

tff(type_def_157,type,
    fun_fu1058839037i_bool: $tType ).

tff(type_def_158,type,
    fun_fu1188127219i_bool: $tType ).

tff(type_def_159,type,
    fun_fu509663715i_bool: $tType ).

tff(type_def_160,type,
    fun_fu536674321i_bool: $tType ).

tff(type_def_161,type,
    fun_fu1439397201i_bool: $tType ).

tff(type_def_162,type,
    fun_fu209106563t_bool: $tType ).

tff(type_def_163,type,
    fun_fu613599045t_bool: $tType ).

tff(type_def_164,type,
    fun_fu945932491i_bool: $tType ).

tff(type_def_165,type,
    fun_fu1131021301l_bool: $tType ).

tff(type_def_166,type,
    fun_fu1591782325l_bool: $tType ).

tff(type_def_167,type,
    fun_fu1944573957l_bool: $tType ).

tff(type_def_168,type,
    fun_fu1816256693l_bool: $tType ).

tff(type_def_169,type,
    fun_fu1917206794le_alt: $tType ).

tff(type_def_170,type,
    fun_fu908353023e_indi: $tType ).

tff(type_def_171,type,
    fun_fu775006535l_bool: $tType ).

tff(type_def_172,type,
    fun_fu1678217534t_bool: $tType ).

tff(type_def_173,type,
    fun_fu1765260675i_bool: $tType ).

tff(type_def_174,type,
    fun_fu757621293t_bool: $tType ).

tff(type_def_175,type,
    fun_fu1471766731l_bool: $tType ).

tff(type_def_176,type,
    fun_fu1689147625t_bool: $tType ).

tff(type_def_177,type,
    fun_fu2072229747l_bool: $tType ).

tff(type_def_178,type,
    fun_fu1118404335t_bool: $tType ).

tff(type_def_179,type,
    fun_fu1291054887l_bool: $tType ).

tff(type_def_180,type,
    fun_fu787660105l_bool: $tType ).

tff(type_def_181,type,
    fun_fu1595299477t_bool: $tType ).

tff(type_def_182,type,
    fun_fu2027003875t_bool: $tType ).

tff(type_def_183,type,
    fun_fu523504735le_alt: $tType ).

tff(type_def_184,type,
    fun_fu330028739t_bool: $tType ).

tff(type_def_185,type,
    fun_fu2073792791t_bool: $tType ).

tff(type_def_186,type,
    fun_fu1338365749l_bool: $tType ).

tff(type_def_187,type,
    fun_fu1255657237l_bool: $tType ).

tff(type_def_188,type,
    fun_fu701319549l_bool: $tType ).

tff(type_def_189,type,
    fun_fu958719595t_bool: $tType ).

tff(type_def_190,type,
    fun_fu1249914075i_bool: $tType ).

tff(type_def_191,type,
    fun_fu1906307459l_bool: $tType ).

tff(type_def_192,type,
    fun_fu744228187l_bool: $tType ).

tff(type_def_193,type,
    fun_fu658769883l_bool: $tType ).

tff(type_def_194,type,
    fun_fu648305011l_bool: $tType ).

tff(type_def_195,type,
    fun_fu138431195l_bool: $tType ).

tff(type_def_196,type,
    fun_fu1671272065l_bool: $tType ).

tff(type_def_197,type,
    fun_fu1190918417l_bool: $tType ).

tff(type_def_198,type,
    fun_fu1462061403t_bool: $tType ).

tff(type_def_199,type,
    fun_fu1179783771t_bool: $tType ).

tff(type_def_200,type,
    fun_fu1465670113l_bool: $tType ).

tff(type_def_201,type,
    fun_fu1311768765l_bool: $tType ).

tff(type_def_202,type,
    fun_fu1395443509l_bool: $tType ).

tff(type_def_203,type,
    fun_fu1519655115l_bool: $tType ).

tff(type_def_204,type,
    fun_fu497048781l_bool: $tType ).

tff(type_def_205,type,
    fun_fu752049205l_bool: $tType ).

tff(type_def_206,type,
    fun_fu1337686655l_bool: $tType ).

tff(type_def_207,type,
    fun_fu572324631l_bool: $tType ).

tff(type_def_208,type,
    fun_fu853181919t_bool: $tType ).

tff(type_def_209,type,
    fun_fu1156700085l_bool: $tType ).

tff(type_def_210,type,
    fun_fu1794958667l_bool: $tType ).

tff(type_def_211,type,
    fun_fu695394268le_alt: $tType ).

tff(type_def_212,type,
    fun_fu1583209007le_alt: $tType ).

tff(type_def_213,type,
    fun_fu44355679le_alt: $tType ).

tff(type_def_214,type,
    fun_fu1752675127le_alt: $tType ).

tff(type_def_215,type,
    fun_fu1433315039le_alt: $tType ).

tff(type_def_216,type,
    fun_fu1262524641t_bool: $tType ).

tff(type_def_217,type,
    fun_fu195271449le_alt: $tType ).

tff(type_def_218,type,
    fun_fu1205628211l_bool: $tType ).

tff(type_def_219,type,
    fun_fu1143436683le_alt: $tType ).

tff(type_def_220,type,
    fun_fu636575483le_alt: $tType ).

tff(type_def_221,type,
    fun_fu1491303661le_alt: $tType ).

tff(type_def_222,type,
    fun_fu384937503le_alt: $tType ).

tff(type_def_223,type,
    fun_fu1942138513le_alt: $tType ).

tff(type_def_224,type,
    fun_fu2085528593le_alt: $tType ).

tff(type_def_225,type,
    fun_fu1211133043t_bool: $tType ).

tff(type_def_226,type,
    fun_fu1211939425t_bool: $tType ).

tff(type_def_227,type,
    fun_fu2139722817le_alt: $tType ).

tff(type_def_228,type,
    fun_fu1464168373l_bool: $tType ).

tff(type_def_229,type,
    fun_fu6778611le_alt: $tType ).

tff(type_def_230,type,
    fun_fu970110205le_alt: $tType ).

tff(type_def_231,type,
    fun_fu46714991le_alt: $tType ).

tff(type_def_232,type,
    fun_fu2125885869le_alt: $tType ).

tff(type_def_233,type,
    fun_fu325817268l_bool: $tType ).

tff(type_def_234,type,
    fun_fu322579140l_bool: $tType ).

tff(type_def_235,type,
    fun_fu1481444331t_bool: $tType ).

tff(type_def_236,type,
    fun_fu1974304256l_bool: $tType ).

tff(type_def_237,type,
    fun_fu1104407766l_bool: $tType ).

tff(type_def_238,type,
    fun_fu1254085227l_bool: $tType ).

tff(type_def_239,type,
    fun_fu1675261879l_bool: $tType ).

tff(type_def_240,type,
    fun_fu350452167l_bool: $tType ).

tff(type_def_241,type,
    fun_fu894398540t_bool: $tType ).

tff(type_def_242,type,
    fun_fu1959128625l_bool: $tType ).

tff(type_def_243,type,
    fun_fu887487221i_bool: $tType ).

tff(type_def_244,type,
    fun_fu1227713461l_bool: $tType ).

tff(type_def_245,type,
    fun_fu614742333l_bool: $tType ).

tff(type_def_246,type,
    fun_fu1285222492l_bool: $tType ).

tff(type_def_247,type,
    fun_fu501996483l_bool: $tType ).

tff(type_def_248,type,
    fun_fu1490125691l_bool: $tType ).

tff(type_def_249,type,
    fun_fu694861565l_bool: $tType ).

tff(type_def_250,type,
    fun_fu81176373l_bool: $tType ).

tff(type_def_251,type,
    fun_fu719474787l_bool: $tType ).

tff(type_def_252,type,
    fun_fu1430206667l_bool: $tType ).

tff(type_def_253,type,
    fun_fu367862778le_alt: $tType ).

tff(type_def_254,type,
    fun_fu1596339983e_indi: $tType ).

tff(type_def_255,type,
    fun_fu1138137687l_bool: $tType ).

tff(type_def_256,type,
    fun_fu1551598158t_bool: $tType ).

tff(type_def_257,type,
    fun_fu2127564915i_bool: $tType ).

tff(type_def_258,type,
    fun_fu1460706235l_bool: $tType ).

tff(type_def_259,type,
    fun_fu785470425t_bool: $tType ).

tff(type_def_260,type,
    fun_fu1756482675l_bool: $tType ).

tff(type_def_261,type,
    fun_fu1922278159t_bool: $tType ).

tff(type_def_262,type,
    fun_fu446267975l_bool: $tType ).

tff(type_def_263,type,
    fun_fu2016938707t_bool: $tType ).

tff(type_def_264,type,
    fun_fu1883622767le_alt: $tType ).

tff(type_def_265,type,
    fun_fu950932723t_bool: $tType ).

tff(type_def_266,type,
    fun_fu2129699413t_bool: $tType ).

tff(type_def_267,type,
    fun_fu658052661l_bool: $tType ).

tff(type_def_268,type,
    fun_fu633681369l_bool: $tType ).

tff(type_def_269,type,
    fun_fu2017950079l_bool: $tType ).

tff(type_def_270,type,
    fun_fu2090861455l_bool: $tType ).

tff(type_def_271,type,
    fun_fu2066072949l_bool: $tType ).

tff(type_def_272,type,
    fun_fu1023291297l_bool: $tType ).

tff(type_def_273,type,
    fun_fu231779051t_bool: $tType ).

tff(type_def_274,type,
    fun_fu1484286911le_alt: $tType ).

tff(type_def_275,type,
    fun_fu1094023675l_bool: $tType ).

tff(type_def_276,type,
    fun_fu954714723le_alt: $tType ).

tff(type_def_277,type,
    fun_fu1046705531le_alt: $tType ).

tff(type_def_278,type,
    fun_fu1844877762l_bool: $tType ).

tff(type_def_279,type,
    fun_fu1936649911l_bool: $tType ).

tff(type_def_280,type,
    fun_fu117797375l_bool: $tType ).

tff(type_def_281,type,
    fun_fu213291324t_bool: $tType ).

tff(type_def_282,type,
    fun_fu2120515089l_bool: $tType ).

tff(type_def_283,type,
    fun_fu1480005125i_bool: $tType ).

tff(type_def_284,type,
    fun_fu1739677877l_bool: $tType ).

tff(type_def_285,type,
    fun_fu1378577485l_bool: $tType ).

tff(type_def_286,type,
    fun_fu511314268l_bool: $tType ).

tff(type_def_287,type,
    fun_fu2134310371l_bool: $tType ).

tff(type_def_288,type,
    fun_fu1529394587l_bool: $tType ).

tff(type_def_289,type,
    fun_fu1687768061l_bool: $tType ).

tff(type_def_290,type,
    fun_fu413400117l_bool: $tType ).

tff(type_def_291,type,
    fun_fu1879177859l_bool: $tType ).

tff(type_def_292,type,
    fun_fu25450699l_bool: $tType ).

tff(type_def_293,type,
    fun_fu153003365t_bool: $tType ).

tff(type_def_294,type,
    fun_fu2092057397l_bool: $tType ).

tff(type_def_295,type,
    fun_fu1614642455l_bool: $tType ).

tff(type_def_296,type,
    fun_fu316050610l_bool: $tType ).

tff(type_def_297,type,
    fun_fu2038151111l_bool: $tType ).

tff(type_def_298,type,
    fun_fu211637007l_bool: $tType ).

tff(type_def_299,type,
    fun_fu141700647l_bool: $tType ).

tff(type_def_300,type,
    fun_fu927497898l_bool: $tType ).

tff(type_def_301,type,
    fun_fu1669219279l_bool: $tType ).

tff(type_def_302,type,
    fun_fu1681173271l_bool: $tType ).

tff(type_def_303,type,
    fun_fu2099342895l_bool: $tType ).

tff(type_def_304,type,
    fun_fu2114825504l_bool: $tType ).

tff(type_def_305,type,
    fun_fu2088415961l_bool: $tType ).

tff(type_def_306,type,
    fun_fu748752232t_bool: $tType ).

tff(type_def_307,type,
    fun_fu199169653l_bool: $tType ).

tff(type_def_308,type,
    fun_fu790078681i_bool: $tType ).

tff(type_def_309,type,
    fun_fu1041166411l_bool: $tType ).

tff(type_def_310,type,
    fun_fu705370401l_bool: $tType ).

tff(type_def_311,type,
    fun_fu813042202l_bool: $tType ).

tff(type_def_312,type,
    fun_fu279877163l_bool: $tType ).

tff(type_def_313,type,
    fun_fu1439779443l_bool: $tType ).

tff(type_def_314,type,
    fun_fu16872987l_bool: $tType ).

tff(type_def_315,type,
    fun_fu830715227l_bool: $tType ).

tff(type_def_316,type,
    fun_fu1155544867l_bool: $tType ).

tff(type_def_317,type,
    fun_fu72019851l_bool: $tType ).

tff(type_def_318,type,
    fun_fu1525712367t_bool: $tType ).

tff(type_def_319,type,
    fun_fu790360103l_bool: $tType ).

tff(type_def_320,type,
    fun_fu1153947193t_bool: $tType ).

tff(type_def_321,type,
    fun_fu1925294731l_bool: $tType ).

tff(type_def_322,type,
    fun_fu999669305l_bool: $tType ).

tff(type_def_323,type,
    fun_fu2024104855l_bool: $tType ).

tff(type_def_324,type,
    fun_fu1649100199l_bool: $tType ).

tff(type_def_325,type,
    fun_fu889345373l_bool: $tType ).

tff(type_def_326,type,
    fun_fu1196769721l_bool: $tType ).

tff(type_def_327,type,
    fun_fu369161386t_bool: $tType ).

tff(type_def_328,type,
    fun_fu1519476973l_bool: $tType ).

tff(type_def_329,type,
    fun_fu83070487i_bool: $tType ).

tff(type_def_330,type,
    fun_fu1286543157l_bool: $tType ).

tff(type_def_331,type,
    fun_fu207034610le_alt: $tType ).

tff(type_def_332,type,
    fun_fu2016509975e_indi: $tType ).

tff(type_def_333,type,
    fun_fu1015689055l_bool: $tType ).

tff(type_def_334,type,
    fun_fu1540265814t_bool: $tType ).

tff(type_def_335,type,
    fun_fu157004749t_bool: $tType ).

tff(type_def_336,type,
    fun_fu699199419t_bool: $tType ).

tff(type_def_337,type,
    fun_fu1628463836t_bool: $tType ).

tff(type_def_338,type,
    fun_fu1766473067i_bool: $tType ).

tff(type_def_339,type,
    fun_fu243393031t_bool: $tType ).

tff(type_def_340,type,
    fun_fu44268723l_bool: $tType ).

tff(type_def_341,type,
    fun_fu831091903t_bool: $tType ).

tff(type_def_342,type,
    fun_fu2137254965t_bool: $tType ).

tff(type_def_343,type,
    fun_fu1556412341l_bool: $tType ).

tff(type_def_344,type,
    fun_fu1515494241l_bool: $tType ).

tff(type_def_345,type,
    fun_fu1363468139t_bool: $tType ).

tff(type_def_346,type,
    fun_fu962221693t_bool: $tType ).

tff(type_def_347,type,
    fun_fu1275593675t_bool: $tType ).

tff(type_def_348,type,
    fun_fu283227047t_bool: $tType ).

tff(type_def_349,type,
    fun_fu89803383le_alt: $tType ).

tff(type_def_350,type,
    fun_fu772265193t_bool: $tType ).

tff(type_def_351,type,
    fun_fu612692971l_bool: $tType ).

tff(type_def_352,type,
    fun_fu728481739t_bool: $tType ).

tff(type_def_353,type,
    fun_fu171717239t_bool: $tType ).

tff(type_def_354,type,
    fun_fu293053621l_bool: $tType ).

tff(type_def_355,type,
    fun_fu899631025l_bool: $tType ).

tff(type_def_356,type,
    fun_fu1432899755i_bool: $tType ).

tff(type_def_357,type,
    fun_fu1710745281l_bool: $tType ).

tff(type_def_358,type,
    fun_fu567784347l_bool: $tType ).

tff(type_def_359,type,
    fun_fu745710381l_bool: $tType ).

tff(type_def_360,type,
    fun_fu794113947t_bool: $tType ).

tff(type_def_361,type,
    fun_fu1077841091t_bool: $tType ).

tff(type_def_362,type,
    fun_fu212416947t_bool: $tType ).

tff(type_def_363,type,
    fun_fu1019554211t_bool: $tType ).

tff(type_def_364,type,
    fun_fu798955793t_bool: $tType ).

tff(type_def_365,type,
    fun_fu595308561t_bool: $tType ).

tff(type_def_366,type,
    fun_fu2055211133t_bool: $tType ).

tff(type_def_367,type,
    fun_fu1167626927t_bool: $tType ).

tff(type_def_368,type,
    fun_fu392022229l_bool: $tType ).

tff(type_def_369,type,
    fun_fu194704949l_bool: $tType ).

tff(type_def_370,type,
    fun_fu1577680101l_bool: $tType ).

tff(type_def_371,type,
    fun_fu1051681589l_bool: $tType ).

tff(type_def_372,type,
    fun_fu1694084523l_bool: $tType ).

tff(type_def_373,type,
    fun_fu118533223l_bool: $tType ).

tff(type_def_374,type,
    fun_fu1650235367l_bool: $tType ).

tff(type_def_375,type,
    fun_fu671378635t_bool: $tType ).

tff(type_def_376,type,
    fun_fu1435577955le_alt: $tType ).

tff(type_def_377,type,
    fun_fu406025719t_bool: $tType ).

tff(type_def_378,type,
    fun_fu202949813l_bool: $tType ).

tff(type_def_379,type,
    fun_fu1006735199l_bool: $tType ).

tff(type_def_380,type,
    fun_fu115111519l_bool: $tType ).

tff(type_def_381,type,
    fun_fu451305183l_bool: $tType ).

tff(type_def_382,type,
    fun_fu986210655l_bool: $tType ).

tff(type_def_383,type,
    fun_fu184048479l_bool: $tType ).

tff(type_def_384,type,
    fun_fu1837767491l_bool: $tType ).

tff(type_def_385,type,
    fun_fu2069747679l_bool: $tType ).

tff(type_def_386,type,
    fun_fu1173513823l_bool: $tType ).

tff(type_def_387,type,
    fun_fu2014033553l_bool: $tType ).

tff(type_def_388,type,
    fun_fu1134695883l_bool: $tType ).

tff(type_def_389,type,
    fun_fu749815217l_bool: $tType ).

tff(type_def_390,type,
    fun_fu959050411l_bool: $tType ).

tff(type_def_391,type,
    fun_fu1054620703l_bool: $tType ).

tff(type_def_392,type,
    fun_fu725984545l_bool: $tType ).

tff(type_def_393,type,
    fun_fu1907438805l_bool: $tType ).

tff(type_def_394,type,
    fun_fu883932423t_bool: $tType ).

tff(type_def_395,type,
    fun_fu93166577l_bool: $tType ).

tff(type_def_396,type,
    fun_fu1041472619t_bool: $tType ).

tff(type_def_397,type,
    fun_Pr1852695144le_alt: $tType ).

tff(type_def_398,type,
    fun_Pr1698894881e_indi: $tType ).

tff(type_def_399,type,
    fun_Pr1055212137t_bool: $tType ).

tff(type_def_400,type,
    fun_Pr459606624t_bool: $tType ).

tff(type_def_401,type,
    fun_Pr39488737i_bool: $tType ).

tff(type_def_402,type,
    fun_Pr359894313l_bool: $tType ).

tff(type_def_403,type,
    fun_Pr841565895le_alt: $tType ).

tff(type_def_404,type,
    fun_Pr1228236907l_bool: $tType ).

tff(type_def_405,type,
    fun_Pr973555187t_bool: $tType ).

tff(type_def_406,type,
    fun_Pr1174154163le_alt: $tType ).

tff(type_def_407,type,
    fun_Pr1556001345t_bool: $tType ).

tff(type_def_408,type,
    fun_Pr1717845889le_alt: $tType ).

tff(type_def_409,type,
    fun_Pr1360285225le_alt: $tType ).

tff(type_def_410,type,
    fun_Pr811923643i_bool: $tType ).

tff(type_def_411,type,
    fun_Pr2051704463l_bool: $tType ).

tff(type_def_412,type,
    fun_Pr754217419l_bool: $tType ).

tff(type_def_413,type,
    fun_Pr292042671l_bool: $tType ).

tff(type_def_414,type,
    fun_Pr1013460023t_bool: $tType ).

tff(type_def_415,type,
    fun_Pr1799779039t_bool: $tType ).

tff(type_def_416,type,
    fun_Pr283231225le_alt: $tType ).

tff(type_def_417,type,
    fun_Pr966099075l_bool: $tType ).

tff(type_def_418,type,
    fun_Pr1143104751t_bool: $tType ).

tff(type_def_419,type,
    fun_Pr388821651l_bool: $tType ).

tff(type_def_420,type,
    fun_Pr1671213113l_bool: $tType ).

tff(type_def_421,type,
    fun_Pr1472769671l_bool: $tType ).

tff(type_def_422,type,
    fun_Pr1846448037t_bool: $tType ).

tff(type_def_423,type,
    fun_Pr2138751219t_bool: $tType ).

tff(type_def_424,type,
    fun_Pr286692619le_alt: $tType ).

tff(type_def_425,type,
    fun_Pr975121871le_alt: $tType ).

tff(type_def_426,type,
    fun_Pr1165181697le_alt: $tType ).

tff(type_def_427,type,
    fun_Pr799129423le_alt: $tType ).

tff(type_def_428,type,
    fun_Pr1212253203le_alt: $tType ).

tff(type_def_429,type,
    fun_Pr1415161449i_bool: $tType ).

tff(type_def_430,type,
    fun_Pr1565860459l_bool: $tType ).

tff(type_def_431,type,
    fun_Pr1922637673l_bool: $tType ).

tff(type_def_432,type,
    fun_Pr852727147l_bool: $tType ).

tff(type_def_433,type,
    fun_Pr1344020457t_bool: $tType ).

tff(type_def_434,type,
    fun_Pr1497047659l_bool: $tType ).

tff(type_def_435,type,
    fun_Pr212690025l_bool: $tType ).

tff(type_def_436,type,
    fun_Pr468477035l_bool: $tType ).

tff(type_def_437,type,
    fun_Pr1412844137l_bool: $tType ).

tff(type_def_438,type,
    fun_Pr1317140075l_bool: $tType ).

tff(type_def_439,type,
    fun_Pr100782925l_bool: $tType ).

tff(type_def_440,type,
    fun_Pr1780593075l_bool: $tType ).

tff(type_def_441,type,
    fun_Pr1146580713t_bool: $tType ).

tff(type_def_442,type,
    fun_Pr41046891l_bool: $tType ).

tff(type_def_443,type,
    fun_Pr3550057t_bool: $tType ).

tff(type_def_444,type,
    fun_Pr652626795l_bool: $tType ).

tff(type_def_445,type,
    fun_Pr1660699547l_bool: $tType ).

tff(type_def_446,type,
    fun_Pr994915919l_bool: $tType ).

tff(type_def_447,type,
    fun_Pr119656123l_bool: $tType ).

tff(type_def_448,type,
    fun_Pr1451345551l_bool: $tType ).

tff(type_def_449,type,
    fun_Pr811948841l_bool: $tType ).

tff(type_def_450,type,
    fun_Pr739327979l_bool: $tType ).

tff(type_def_451,type,
    fun_Pr666765279t_bool: $tType ).

tff(type_def_452,type,
    fun_Pr324469463l_bool: $tType ).

tff(type_def_453,type,
    fun_Pr2049153787t_bool: $tType ).

tff(type_def_454,type,
    fun_Pr592802831l_bool: $tType ).

tff(type_def_455,type,
    produc1840315303le_alt: $tType ).

tff(type_def_456,type,
    produc790689273e_indi: $tType ).

tff(type_def_457,type,
    produc373466377l_bool: $tType ).

tff(type_def_458,type,
    produc662089077le_alt: $tType ).

tff(type_def_459,type,
    produc645880743e_indi: $tType ).

tff(type_def_460,type,
    produc1754317479t_bool: $tType ).

tff(type_def_461,type,
    produc1655778087le_alt: $tType ).

tff(type_def_462,type,
    produc802500007t_bool: $tType ).

tff(type_def_463,type,
    produc133965735t_bool: $tType ).

tff(type_def_464,type,
    produc1259318155t_bool: $tType ).

tff(type_def_465,type,
    produc1424499751le_alt: $tType ).

tff(type_def_466,type,
    produc718779047le_alt: $tType ).

tff(type_def_467,type,
    produc1905018073t_bool: $tType ).

tff(type_def_468,type,
    produc230355961t_bool: $tType ).

tff(type_def_469,type,
    produc23775335t_bool: $tType ).

tff(type_def_470,type,
    produc1652795165le_alt: $tType ).

tff(type_def_471,type,
    produc572918329le_alt: $tType ).

tff(func_def_0,type,
    arrow_888693696le_IIA: fun_fu1138137687l_bool ).

tff(func_def_1,type,
    arrow_915577424le_Lin: fun_fu1015689055l_bool ).

tff(func_def_2,type,
    arrow_1190054106e_Prof: fun_fu775006535l_bool ).

tff(func_def_3,type,
    arrow_1475523868_above: ( fun_Pr1055212137t_bool * arrow_931160158le_alt ) > fun_Ar1275715144t_bool ).

tff(func_def_4,type,
    arrow_636638768_below: fun_fu699199419t_bool ).

tff(func_def_5,type,
    arrow_1472924909ctator: fun_fu2127564915i_bool ).

tff(func_def_6,type,
    arrow_592884904_mkbot: fun_Pr1055212137t_bool > fun_Ar1275715144t_bool ).

tff(func_def_7,type,
    arrow_741591990_mktop: fun_Pr1055212137t_bool > fun_Ar1275715144t_bool ).

tff(func_def_8,type,
    arrow_22284131nimity: fun_fu1138137687l_bool ).

tff(func_def_9,type,
    cOMBB_1573225850le_alt: fun_fu958719595t_bool ).

tff(func_def_10,type,
    cOMBB_238582393e_indi: fun_fu1249914075i_bool ).

tff(func_def_11,type,
    cOMBB_bool_bool_bool: fun_fu744228187l_bool ).

tff(func_def_12,type,
    cOMBB_1270085993t_bool: fun_fu658769883l_bool ).

tff(func_def_13,type,
    cOMBB_593231993t_bool: fun_fu138431195l_bool ).

tff(func_def_14,type,
    cOMBB_2017616773t_bool: fun_fu1671272065l_bool ).

tff(func_def_15,type,
    cOMBB_1693113739le_alt: fun_fu1462061403t_bool ).

tff(func_def_16,type,
    cOMBB_2059950425le_alt: fun_fu1179783771t_bool ).

tff(func_def_17,type,
    cOMBB_764295458le_alt: fun_fu1433315039le_alt ).

tff(func_def_18,type,
    cOMBB_991641265le_alt: fun_fu384937503le_alt ).

tff(func_def_19,type,
    cOMBB_1257018821le_alt: fun_fu46714991le_alt ).

tff(func_def_20,type,
    cOMBB_1430402568le_alt: fun_fu1481444331t_bool ).

tff(func_def_21,type,
    cOMBB_1605735744le_alt: fun_fu1254085227l_bool ).

tff(func_def_22,type,
    cOMBB_1898463941le_alt: fun_fu231779051t_bool ).

tff(func_def_23,type,
    cOMBB_202310119le_alt: fun_fu1484286911le_alt ).

tff(func_def_24,type,
    cOMBB_1398787847le_alt: fun_fu1094023675l_bool ).

tff(func_def_25,type,
    cOMBB_1090121759le_alt: fun_fu954714723le_alt ).

tff(func_def_26,type,
    cOMBB_1371834305le_alt: fun_fu1046705531le_alt ).

tff(func_def_27,type,
    cOMBB_656639247e_indi: fun_fu1525712367t_bool ).

tff(func_def_28,type,
    cOMBB_480104238le_alt: fun_fu612692971l_bool ).

tff(func_def_29,type,
    cOMBB_2055762783le_alt: fun_fu1694084523l_bool ).

tff(func_def_30,type,
    cOMBB_1744225841le_alt: fun_fu1435577955le_alt ).

tff(func_def_31,type,
    cOMBC_1674187866t_bool: fun_fu1888849659t_bool ).

tff(func_def_32,type,
    cOMBC_1067846133le_alt: fun_fu1981597653le_alt ).

tff(func_def_33,type,
    cOMBC_571858149l_bool: fun_fu709917073t_bool ).

tff(func_def_34,type,
    cOMBC_1947566172t_bool: fun_fu1498496639t_bool ).

tff(func_def_35,type,
    cOMBC_1505804284t_bool: fun_fu209106563t_bool ).

tff(func_def_36,type,
    cOMBC_18834461t_bool: fun_fu613599045t_bool ).

tff(func_def_37,type,
    cOMBC_112876850i_bool: fun_fu945932491i_bool ).

tff(func_def_38,type,
    cOMBC_bool_bool_bool: fun_fu1519655115l_bool ).

tff(func_def_39,type,
    cOMBC_67621220le_alt: fun_fu1752675127le_alt ).

tff(func_def_40,type,
    cOMBC_1169880370le_alt: fun_fu1942138513le_alt ).

tff(func_def_41,type,
    cOMBC_307006084l_bool: fun_fu1211133043t_bool ).

tff(func_def_42,type,
    cOMBC_1004503918t_bool: fun_fu1211939425t_bool ).

tff(func_def_43,type,
    cOMBC_723368737le_alt: fun_fu2125885869le_alt ).

tff(func_def_44,type,
    cOMBC_422512914l_bool: fun_fu1430206667l_bool ).

tff(func_def_45,type,
    cOMBC_2092631346l_bool: fun_fu25450699l_bool ).

tff(func_def_46,type,
    cOMBC_2092631450l_bool: fun_fu790360103l_bool ).

tff(func_def_47,type,
    cOMBC_1001276758t_bool: fun_fu728481739t_bool ).

tff(func_def_48,type,
    cOMBC_662543858t_bool: fun_fu671378635t_bool ).

tff(func_def_49,type,
    cOMBK_1114709381le_alt: fun_bo687293974t_bool ).

tff(func_def_50,type,
    cOMBK_1820189998e_indi: fun_bo353189547i_bool ).

tff(func_def_51,type,
    cOMBK_670822686t_bool: fun_bo645734555l_bool ).

tff(func_def_52,type,
    cOMBK_759924014t_bool: fun_bo979888811l_bool ).

tff(func_def_53,type,
    cOMBK_1216274064t_bool: fun_bo96602657l_bool ).

tff(func_def_54,type,
    cOMBK_1566242880le_alt: fun_bo1116297149t_bool ).

tff(func_def_55,type,
    cOMBK_841302421t_bool: fun_fu1186836443t_bool ).

tff(func_def_56,type,
    cOMBK_1604195493t_bool: fun_fu1620540139t_bool ).

tff(func_def_57,type,
    cOMBK_1771409497t_bool: fun_fu1015931279t_bool ).

tff(func_def_58,type,
    cOMBK_350001591le_alt: fun_fu1995322877t_bool ).

tff(func_def_59,type,
    cOMBK_1865603534t_bool: fun_fu1188127219i_bool ).

tff(func_def_60,type,
    cOMBK_189636062t_bool: fun_fu509663715i_bool ).

tff(func_def_61,type,
    cOMBK_854051296t_bool: fun_fu536674321i_bool ).

tff(func_def_62,type,
    cOMBK_646689008le_alt: fun_fu1439397201i_bool ).

tff(func_def_63,type,
    cOMBK_768188438t_bool: fun_fu1906307459l_bool ).

tff(func_def_64,type,
    cOMBK_1251240998t_bool: fun_fu648305011l_bool ).

tff(func_def_65,type,
    cOMBK_1253994904t_bool: fun_fu1190918417l_bool ).

tff(func_def_66,type,
    cOMBK_1506144056le_alt: fun_fu1465670113l_bool ).

tff(func_def_67,type,
    cOMBK_313903393le_alt: fun_fu695394268le_alt ).

tff(func_def_68,type,
    cOMBK_1262239973le_alt: fun_fu1285222492l_bool ).

tff(func_def_69,type,
    cOMBK_970693070e_indi: fun_fu501996483l_bool ).

tff(func_def_70,type,
    cOMBK_1709453334l_bool: fun_fu1490125691l_bool ).

tff(func_def_71,type,
    cOMBK_1129525550le_alt: fun_fu719474787l_bool ).

tff(func_def_72,type,
    cOMBK_289343701le_alt: fun_fu511314268l_bool ).

tff(func_def_73,type,
    cOMBK_1014681054e_indi: fun_fu2134310371l_bool ).

tff(func_def_74,type,
    cOMBK_1417083942l_bool: fun_fu1529394587l_bool ).

tff(func_def_75,type,
    cOMBK_801230142le_alt: fun_fu1879177859l_bool ).

tff(func_def_76,type,
    cOMBK_433524227le_alt: fun_fu813042202l_bool ).

tff(func_def_77,type,
    cOMBK_1595020336e_indi: fun_fu279877163l_bool ).

tff(func_def_78,type,
    cOMBK_1489759608l_bool: fun_fu1439779443l_bool ).

tff(func_def_79,type,
    cOMBK_1446432t_bool: fun_fu16872987l_bool ).

tff(func_def_80,type,
    cOMBK_2034944144le_alt: fun_fu72019851l_bool ).

tff(func_def_81,type,
    cOMBK_82914883le_alt: fun_fu1628463836t_bool ).

tff(func_def_82,type,
    cOMBK_1522533360e_indi: fun_fu243393031t_bool ).

tff(func_def_83,type,
    cOMBK_382434616l_bool: fun_fu831091903t_bool ).

tff(func_def_84,type,
    cOMBK_1603999824le_alt: fun_fu283227047t_bool ).

tff(func_def_85,type,
    cOMBK_851707182t_bool: fun_fu212416947t_bool ).

tff(func_def_86,type,
    cOMBK_1744775486t_bool: fun_fu1019554211t_bool ).

tff(func_def_87,type,
    cOMBK_1082115712t_bool: fun_fu798955793t_bool ).

tff(func_def_88,type,
    cOMBK_1927707728le_alt: fun_fu595308561t_bool ).

tff(func_def_89,type,
    cOMBS_384423136le_alt: fun_fu2085528593le_alt ).

tff(func_def_90,type,
    cOMBS_1384849976le_alt: fun_fu2139722817le_alt ).

tff(func_def_91,type,
    in_rel267123714le_alt: fun_Pr1055212137t_bool > fun_Ar1414184139t_bool ).

tff(func_def_92,type,
    in_rel1976830678le_alt: fun_Pr1013460023t_bool > fun_li954148211t_bool ).

tff(func_def_93,type,
    pi_Arr454232280t_bool: ( fun_Ar1091019988t_bool * fun_Ar1236339238l_bool ) > fun_fu1461160766l_bool ).

tff(func_def_94,type,
    pi_Arr1374652136t_bool: ( fun_Ar1091019988t_bool * fun_Ar1311475510l_bool ) > fun_fu161865806l_bool ).

tff(func_def_95,type,
    pi_Arr1345099862t_bool: ( fun_Ar1091019988t_bool * fun_Ar1026121174l_bool ) > fun_fu156643262l_bool ).

tff(func_def_96,type,
    pi_Arr665814522le_alt: ( fun_Ar1091019988t_bool * fun_Ar1275715144t_bool ) > fun_fu846923616t_bool ).

tff(func_def_97,type,
    pi_Arr1376550035t_bool: ( fun_Ar552120407i_bool * fun_Ar684516451l_bool ) > fun_fu1131021301l_bool ).

tff(func_def_98,type,
    pi_Arr353983907t_bool: ( fun_Ar552120407i_bool * fun_Ar1270429299l_bool ) > fun_fu1944573957l_bool ).

tff(func_def_99,type,
    pi_Arr487970267t_bool: ( fun_Ar552120407i_bool * fun_Ar1198543961l_bool ) > fun_fu775006535l_bool ).

tff(func_def_100,type,
    pi_Arr914482869le_alt: ( fun_Ar552120407i_bool * fun_Ar500372357t_bool ) > fun_fu2073792791t_bool ).

tff(func_def_101,type,
    pi_boo573599835t_bool: ( fun_bool_bool * fun_bo645734555l_bool ) > fun_fu1311768765l_bool ).

tff(func_def_102,type,
    pi_boo250534251t_bool: ( fun_bool_bool * fun_bo979888811l_bool ) > fun_fu497048781l_bool ).

tff(func_def_103,type,
    pi_boo98824211t_bool: ( fun_bool_bool * fun_bo96602657l_bool ) > fun_fu1337686655l_bool ).

tff(func_def_104,type,
    pi_boo1374671485le_alt: ( fun_bool_bool * fun_bo1116297149t_bool ) > fun_fu853181919t_bool ).

tff(func_def_105,type,
    pi_fun2004166880le_alt: ( fun_fu775006535l_bool * fun_fu1678217534t_bool ) > fun_fu894398540t_bool ).

tff(func_def_106,type,
    pi_fun64467091e_indi: ( fun_fu775006535l_bool * fun_fu1765260675i_bool ) > fun_fu887487221i_bool ).

tff(func_def_107,type,
    pi_fun1624909403l_bool: ( fun_fu775006535l_bool * fun_fu1471766731l_bool ) > fun_fu614742333l_bool ).

tff(func_def_108,type,
    pi_fun530160875t_bool: ( fun_fu775006535l_bool * fun_fu787660105l_bool ) > fun_fu1138137687l_bool ).

tff(func_def_109,type,
    pi_fun1331320947le_alt: ( fun_fu775006535l_bool * fun_fu2027003875t_bool ) > fun_fu2129699413t_bool ).

tff(func_def_110,type,
    pi_fun1276940240le_alt: ( fun_fu1138137687l_bool * fun_fu1551598158t_bool ) > fun_fu213291324t_bool ).

tff(func_def_111,type,
    pi_fun1073350051e_indi: ( fun_fu1138137687l_bool * fun_fu2127564915i_bool ) > fun_fu1480005125i_bool ).

tff(func_def_112,type,
    pi_fun351900523l_bool: ( fun_fu1138137687l_bool * fun_fu1460706235l_bool ) > fun_fu1378577485l_bool ).

tff(func_def_113,type,
    pi_fun1064473987le_alt: ( fun_fu1138137687l_bool * fun_fu2016938707t_bool ) > fun_fu153003365t_bool ).

tff(func_def_114,type,
    pi_fun1202206848le_alt: ( fun_fu1015689055l_bool * fun_fu1540265814t_bool ) > fun_fu748752232t_bool ).

tff(func_def_115,type,
    pi_fun1342736627e_indi: ( fun_fu1015689055l_bool * fun_fu1766473067i_bool ) > fun_fu790078681i_bool ).

tff(func_def_116,type,
    pi_fun1412468411l_bool: ( fun_fu1015689055l_bool * fun_fu44268723l_bool ) > fun_fu705370401l_bool ).

tff(func_def_117,type,
    pi_fun83337427le_alt: ( fun_fu1015689055l_bool * fun_fu1275593675t_bool ) > fun_fu1153947193t_bool ).

tff(func_def_118,type,
    pi_Pro469632574le_alt: ( fun_Pr1055212137t_bool * fun_Pr459606624t_bool ) > fun_fu369161386t_bool ).

tff(func_def_119,type,
    pi_Pro1592011445e_indi: ( fun_Pr1055212137t_bool * fun_Pr39488737i_bool ) > fun_fu83070487i_bool ).

tff(func_def_120,type,
    pi_Pro226591613t_bool: ( fun_Pr1055212137t_bool * fun_Pr359894313l_bool ) > fun_fu1015689055l_bool ).

tff(func_def_121,type,
    pi_Pro1731350421le_alt: ( fun_Pr1055212137t_bool * fun_Pr1556001345t_bool ) > fun_fu171717239t_bool ).

tff(func_def_122,type,
    pi_Pro785751667t_bool: ( fun_Pr1013460023t_bool * fun_Pr966099075l_bool ) > fun_fu392022229l_bool ).

tff(func_def_123,type,
    pi_Pro201678723t_bool: ( fun_Pr1013460023t_bool * fun_Pr388821651l_bool ) > fun_fu1577680101l_bool ).

tff(func_def_124,type,
    pi_Pro1294482427t_bool: ( fun_Pr1013460023t_bool * fun_Pr1671213113l_bool ) > fun_fu118533223l_bool ).

tff(func_def_125,type,
    pi_Pro623519893le_alt: ( fun_Pr1013460023t_bool * fun_Pr1846448037t_bool ) > fun_fu406025719t_bool ).

tff(func_def_126,type,
    equal_117954737le_alt: fun_li954148211t_bool ).

tff(func_def_127,type,
    if_Pro1761812485le_alt: bool > fun_Pr286692619le_alt ).

tff(func_def_128,type,
    append634883619le_alt: fun_li973302697le_alt ).

tff(func_def_129,type,
    append1397857296e_indi: fun_li2140397636e_indi ).

tff(func_def_130,type,
    append_bool: fun_li662746748t_bool ).

tff(func_def_131,type,
    append799344526le_alt: fun_li1383239238le_alt ).

tff(func_def_132,type,
    append246315520t_bool: fun_li1389414228t_bool ).

tff(func_def_133,type,
    append1662967824t_bool: fun_li709301828t_bool ).

tff(func_def_134,type,
    append483908910t_bool: fun_li952503796t_bool ).

tff(func_def_135,type,
    append1568444194le_alt: fun_li276060722le_alt ).

tff(func_def_136,type,
    append1870889072le_alt: fun_li907508836le_alt ).

tff(func_def_137,type,
    butlas730749018le_alt: list_A1748581779le_alt > list_A1748581779le_alt ).

tff(func_def_138,type,
    butlas92561305e_indi: list_A964264886e_indi > list_A964264886e_indi ).

tff(func_def_139,type,
    butlast_bool: list_bool > list_bool ).

tff(func_def_140,type,
    butlas707526281t_bool: list_f767102118t_bool > list_f767102118t_bool ).

tff(func_def_141,type,
    butlas606086553t_bool: list_f1301614006t_bool > list_f1301614006t_bool ).

tff(func_def_142,type,
    butlas717559397t_bool: list_f418358302t_bool > list_f418358302t_bool ).

tff(func_def_143,type,
    butlas1000653483le_alt: list_P1216503240le_alt > list_P1216503240le_alt ).

tff(func_def_144,type,
    butlas1911524985le_alt: list_P1493174166le_alt > list_P1493174166le_alt ).

tff(func_def_145,type,
    distin692125441le_alt: fun_li1323594581t_bool ).

tff(func_def_146,type,
    distin455238322e_indi: fun_li60471852i_bool ).

tff(func_def_147,type,
    distinct_bool: fun_list_bool_bool ).

tff(func_def_148,type,
    distin420467362t_bool: fun_li1450775836l_bool ).

tff(func_def_149,type,
    distin1125305010t_bool: fun_li1375950892l_bool ).

tff(func_def_150,type,
    distin1251351564t_bool: fun_li1766616672l_bool ).

tff(func_def_151,type,
    distin2115974596le_alt: fun_li1818542910t_bool ).

tff(func_def_152,type,
    distin2008613906le_alt: fun_li1991898892t_bool ).

tff(func_def_153,type,
    dropWh1772583087le_alt: ( fun_Ar1091019988t_bool * list_A1748581779le_alt ) > list_A1748581779le_alt ).

tff(func_def_154,type,
    dropWh1846039684e_indi: ( fun_Ar552120407i_bool * list_A964264886e_indi ) > list_A964264886e_indi ).

tff(func_def_155,type,
    dropWhile_bool: ( fun_bool_bool * list_bool ) > list_bool ).

tff(func_def_156,type,
    dropWh1950353012t_bool: ( fun_fu775006535l_bool * list_f767102118t_bool ) > list_f767102118t_bool ).

tff(func_def_157,type,
    dropWh1304379524t_bool: ( fun_fu1138137687l_bool * list_f1301614006t_bool ) > list_f1301614006t_bool ).

tff(func_def_158,type,
    dropWh693679034t_bool: ( fun_fu1015689055l_bool * list_f418358302t_bool ) > list_f418358302t_bool ).

tff(func_def_159,type,
    dropWh1019479958le_alt: ( fun_Pr1055212137t_bool * list_P1216503240le_alt ) > list_P1216503240le_alt ).

tff(func_def_160,type,
    dropWh2059627236le_alt: ( fun_Pr1013460023t_bool * list_P1493174166le_alt ) > list_P1493174166le_alt ).

tff(func_def_161,type,
    drop_A1802510926le_alt: fun_na1791315646le_alt ).

tff(func_def_162,type,
    drop_A134812325e_indi: fun_na1988220144e_indi ).

tff(func_def_163,type,
    drop_bool: fun_na1279735280t_bool ).

tff(func_def_164,type,
    drop_f1478843797t_bool: fun_na675742448t_bool ).

tff(func_def_165,type,
    drop_f1457139877t_bool: fun_na1841387760t_bool ).

tff(func_def_166,type,
    drop_f202273881t_bool: fun_na699842004t_bool ).

tff(func_def_167,type,
    drop_P1273017783le_alt: fun_na401775984le_alt ).

tff(func_def_168,type,
    drop_P738054021le_alt: fun_na135885296le_alt ).

tff(func_def_169,type,
    foldl_971653884le_alt: ( fun_li1563304834le_alt * list_A1748581779le_alt * list_A1748581779le_alt ) > list_A1748581779le_alt ).

tff(func_def_170,type,
    hd_Arr274000865le_alt: list_A1748581779le_alt > arrow_931160158le_alt ).

tff(func_def_171,type,
    hd_Arr1709813202e_indi: list_A964264886e_indi > arrow_2115524757e_indi ).

tff(func_def_172,type,
    hd_bool: list_bool > bool ).

tff(func_def_173,type,
    hd_fun674840002t_bool: list_f767102118t_bool > fun_Ar500372357t_bool ).

tff(func_def_174,type,
    hd_fun1472091602t_bool: list_f1301614006t_bool > fun_fu1595299477t_bool ).

tff(func_def_175,type,
    hd_fun290318572t_bool: list_f418358302t_bool > fun_Pr1055212137t_bool ).

tff(func_def_176,type,
    hd_Pro636780772le_alt: list_P1216503240le_alt > produc1840315303le_alt ).

tff(func_def_177,type,
    hd_Pro156409650le_alt: list_P1493174166le_alt > produc662089077le_alt ).

tff(func_def_178,type,
    insert428884260le_alt: ( arrow_931160158le_alt * list_A1748581779le_alt ) > list_A1748581779le_alt ).

tff(func_def_179,type,
    insert13019471e_indi: ( arrow_2115524757e_indi * list_A964264886e_indi ) > list_A964264886e_indi ).

tff(func_def_180,type,
    insert_bool: ( bool * list_bool ) > list_bool ).

tff(func_def_181,type,
    insert2063552063t_bool: ( fun_Ar500372357t_bool * list_f767102118t_bool ) > list_f767102118t_bool ).

tff(func_def_182,type,
    insert1079671631t_bool: ( fun_fu1595299477t_bool * list_f1301614006t_bool ) > list_f1301614006t_bool ).

tff(func_def_183,type,
    insert1909791023t_bool: ( fun_Pr1055212137t_bool * list_f418358302t_bool ) > list_f418358302t_bool ).

tff(func_def_184,type,
    insert1516219489le_alt: ( produc1840315303le_alt * list_P1216503240le_alt ) > list_P1216503240le_alt ).

tff(func_def_185,type,
    insert633788207le_alt: ( produc662089077le_alt * list_P1493174166le_alt ) > list_P1493174166le_alt ).

tff(func_def_186,type,
    last_A1673116455le_alt: list_A1748581779le_alt > arrow_931160158le_alt ).

tff(func_def_187,type,
    last_A989769740e_indi: list_A964264886e_indi > arrow_2115524757e_indi ).

tff(func_def_188,type,
    last_bool: list_bool > bool ).

tff(func_def_189,type,
    last_f1815194108t_bool: list_f767102118t_bool > fun_Ar500372357t_bool ).

tff(func_def_190,type,
    last_f766782476t_bool: list_f1301614006t_bool > fun_fu1595299477t_bool ).

tff(func_def_191,type,
    last_f1672818226t_bool: list_f418358302t_bool > fun_Pr1055212137t_bool ).

tff(func_def_192,type,
    last_P1995563806le_alt: list_P1216503240le_alt > produc1840315303le_alt ).

tff(func_def_193,type,
    last_P1178810988le_alt: list_P1493174166le_alt > produc662089077le_alt ).

tff(func_def_194,type,
    lex_Ar1871318386le_alt: fun_fu1275593675t_bool ).

tff(func_def_195,type,
    lex_li296480639le_alt: fun_fu1167626927t_bool ).

tff(func_def_196,type,
    lexn_A626162606le_alt: ( fun_Pr1055212137t_bool * nat ) > fun_Pr1013460023t_bool ).

tff(func_def_197,type,
    lexord1413896571le_alt: fun_fu1275593675t_bool ).

tff(func_def_198,type,
    lexord200124088e_indi: fun_fu1432899755i_bool ).

tff(func_def_199,type,
    lexord_bool: fun_fu567784347l_bool ).

tff(func_def_200,type,
    lexord103259702le_alt: fun_fu1167626927t_bool ).

tff(func_def_201,type,
    lexord267119784t_bool: fun_fu1134695883l_bool ).

tff(func_def_202,type,
    lexord1327872696t_bool: fun_fu959050411l_bool ).

tff(func_def_203,type,
    lexord45138054t_bool: fun_fu725984545l_bool ).

tff(func_def_204,type,
    lexord840833482le_alt: fun_fu883932423t_bool ).

tff(func_def_205,type,
    lexord272977688le_alt: fun_fu1041472619t_bool ).

tff(func_def_206,type,
    cons_A684544190le_alt: fun_Ar283682666le_alt ).

tff(func_def_207,type,
    cons_A1348960309e_indi: fun_Ar1717876185e_indi ).

tff(func_def_208,type,
    cons_bool: fun_bo1175651857t_bool ).

tff(func_def_209,type,
    cons_l268440883le_alt: fun_li799656667le_alt ).

tff(func_def_210,type,
    cons_f54319909t_bool: fun_fu1689147625t_bool ).

tff(func_def_211,type,
    cons_f1295695413t_bool: fun_fu785470425t_bool ).

tff(func_def_212,type,
    cons_f976589513t_bool: fun_fu2137254965t_bool ).

tff(func_def_213,type,
    cons_P105259847le_alt: fun_Pr841565895le_alt ).

tff(func_def_214,type,
    cons_P1348035861le_alt: fun_Pr283231225le_alt ).

tff(func_def_215,type,
    nil_Ar1741995278le_alt: list_A1748581779le_alt ).

tff(func_def_216,type,
    nil_Ar1066084325e_indi: list_A964264886e_indi ).

tff(func_def_217,type,
    nil_bool: list_bool ).

tff(func_def_218,type,
    nil_li1540629731le_alt: list_l1735481012le_alt ).

tff(func_def_219,type,
    nil_fu141734613t_bool: list_f767102118t_bool ).

tff(func_def_220,type,
    nil_fu1362281957t_bool: list_f1301614006t_bool ).

tff(func_def_221,type,
    nil_fu67358489t_bool: list_f418358302t_bool ).

tff(func_def_222,type,
    nil_Pr1200540407le_alt: list_P1216503240le_alt ).

tff(func_def_223,type,
    nil_Pr1812858053le_alt: list_P1493174166le_alt ).

tff(func_def_224,type,
    list_c151649911le_alt: ( list_A1748581779le_alt * fun_Ar283682666le_alt * list_A1748581779le_alt ) > list_A1748581779le_alt ).

tff(func_def_225,type,
    listre372320615le_alt: fun_fu1275593675t_bool ).

tff(func_def_226,type,
    listre253898570le_alt: fun_fu1167626927t_bool ).

tff(func_def_227,type,
    listre228973110le_alt: fun_fu1275593675t_bool ).

tff(func_def_228,type,
    listre256509371le_alt: fun_fu1167626927t_bool ).

tff(func_def_229,type,
    listre1668963176le_alt: fun_Ar1414184139t_bool > fun_li954148211t_bool ).

tff(func_def_230,type,
    listre450023945le_alt: fun_li954148211t_bool > fun_li1505404791t_bool ).

tff(func_def_231,type,
    null_A1976766230le_alt: fun_li1323594581t_bool ).

tff(func_def_232,type,
    partit1943378951le_alt: ( fun_Ar1091019988t_bool * list_A1748581779le_alt ) > produc662089077le_alt ).

tff(func_def_233,type,
    replic1967339976le_alt: ( nat * arrow_931160158le_alt ) > list_A1748581779le_alt ).

tff(func_def_234,type,
    rev_Ar1562208110le_alt: list_A1748581779le_alt > list_A1748581779le_alt ).

tff(func_def_235,type,
    rev_Ar1187845509e_indi: list_A964264886e_indi > list_A964264886e_indi ).

tff(func_def_236,type,
    rev_bool: list_bool > list_bool ).

tff(func_def_237,type,
    rev_fu207962229t_bool: list_f767102118t_bool > list_f767102118t_bool ).

tff(func_def_238,type,
    rev_fu762704773t_bool: list_f1301614006t_bool > list_f1301614006t_bool ).

tff(func_def_239,type,
    rev_fu601479545t_bool: list_f418358302t_bool > list_f418358302t_bool ).

tff(func_def_240,type,
    rev_Pr1555478679le_alt: list_P1216503240le_alt > list_P1216503240le_alt ).

tff(func_def_241,type,
    rev_Pr919241317le_alt: list_P1493174166le_alt > list_P1493174166le_alt ).

tff(func_def_242,type,
    rotate791150427le_alt: list_A1748581779le_alt > list_A1748581779le_alt ).

tff(func_def_243,type,
    set_Ar1033255471le_alt: list_A1748581779le_alt > fun_Ar1091019988t_bool ).

tff(func_def_244,type,
    set_Ar1464464132e_indi: list_A964264886e_indi > fun_Ar552120407i_bool ).

tff(func_def_245,type,
    set_bool: list_bool > fun_bool_bool ).

tff(func_def_246,type,
    set_li1265325186le_alt: list_l1735481012le_alt > fun_li1323594581t_bool ).

tff(func_def_247,type,
    set_fu116139252t_bool: list_f767102118t_bool > fun_fu775006535l_bool ).

tff(func_def_248,type,
    set_fu1616240388t_bool: list_f1301614006t_bool > fun_fu1138137687l_bool ).

tff(func_def_249,type,
    set_fu945091898t_bool: list_f418358302t_bool > fun_fu1015689055l_bool ).

tff(func_def_250,type,
    set_Pr1864214038le_alt: list_P1216503240le_alt > fun_Pr1055212137t_bool ).

tff(func_def_251,type,
    set_Pr1859340644le_alt: list_P1493174166le_alt > fun_Pr1013460023t_bool ).

tff(func_def_252,type,
    splice1976699617le_alt: ( list_A1748581779le_alt * list_A1748581779le_alt ) > list_A1748581779le_alt ).

tff(func_def_253,type,
    takeWh4609031le_alt: ( fun_Ar1091019988t_bool * list_A1748581779le_alt ) > list_A1748581779le_alt ).

tff(func_def_254,type,
    takeWh1517834028e_indi: ( fun_Ar552120407i_bool * list_A964264886e_indi ) > list_A964264886e_indi ).

tff(func_def_255,type,
    takeWhile_bool: ( fun_bool_bool * list_bool ) > list_bool ).

tff(func_def_256,type,
    takeWh1707174172t_bool: ( fun_fu775006535l_bool * list_f767102118t_bool ) > list_f767102118t_bool ).

tff(func_def_257,type,
    takeWh1450838828t_bool: ( fun_fu1138137687l_bool * list_f1301614006t_bool ) > list_f1301614006t_bool ).

tff(func_def_258,type,
    takeWh1072801554t_bool: ( fun_fu1015689055l_bool * list_f418358302t_bool ) > list_f418358302t_bool ).

tff(func_def_259,type,
    takeWh641303102le_alt: ( fun_Pr1055212137t_bool * list_P1216503240le_alt ) > list_P1216503240le_alt ).

tff(func_def_260,type,
    takeWh871442828le_alt: ( fun_Pr1013460023t_bool * list_P1493174166le_alt ) > list_P1493174166le_alt ).

tff(func_def_261,type,
    tl_Arr921252325le_alt: list_A1748581779le_alt > list_A1748581779le_alt ).

tff(func_def_262,type,
    tl_Arr711649486e_indi: list_A964264886e_indi > list_A964264886e_indi ).

tff(func_def_263,type,
    tl_bool: list_bool > list_bool ).

tff(func_def_264,type,
    tl_fun436180158t_bool: list_f767102118t_bool > list_f767102118t_bool ).

tff(func_def_265,type,
    tl_fun1694877902t_bool: list_f1301614006t_bool > list_f1301614006t_bool ).

tff(func_def_266,type,
    tl_fun1631474416t_bool: list_f418358302t_bool > list_f418358302t_bool ).

tff(func_def_267,type,
    tl_Pro1271790560le_alt: list_P1216503240le_alt > list_P1216503240le_alt ).

tff(func_def_268,type,
    tl_Pro747896878le_alt: list_P1493174166le_alt > list_P1493174166le_alt ).

tff(func_def_269,type,
    suc: nat > nat ).

tff(func_def_270,type,
    nat_ca1780707935le_alt: ( list_A1748581779le_alt * fun_na1941391286le_alt * nat ) > list_A1748581779le_alt ).

tff(func_def_271,type,
    size_s1492124157le_alt: list_A1748581779le_alt > nat ).

tff(func_def_272,type,
    size_s24685002le_alt: list_l1735481012le_alt > nat ).

tff(func_def_273,type,
    order_304234630le_alt: fun_Ar1091019988t_bool > fun_fu1015689055l_bool ).

tff(func_def_274,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(func_def_275,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

tff(func_def_276,type,
    top_top_bool: bool ).

tff(func_def_277,type,
    top_to1888499034t_bool: fun_Ar1091019988t_bool ).

tff(func_def_278,type,
    top_to1678393681i_bool: fun_Ar552120407i_bool ).

tff(func_def_279,type,
    top_to1647826457l_bool: fun_bool_bool ).

tff(func_def_280,type,
    top_to1324311617l_bool: fun_fu775006535l_bool ).

tff(func_def_281,type,
    top_to2013953873l_bool: fun_fu1138137687l_bool ).

tff(func_def_282,type,
    top_to1690334693l_bool: fun_fu1015689055l_bool ).

tff(func_def_283,type,
    top_to126038883t_bool: fun_Pr1055212137t_bool ).

tff(func_def_284,type,
    top_to1866544689t_bool: fun_Pr1013460023t_bool ).

tff(func_def_285,type,
    produc362059031le_alt: fun_Ar2049444117le_alt ).

tff(func_def_286,type,
    produc609333615e_indi: fun_Ar743199503e_indi ).

tff(func_def_287,type,
    produc1246214911l_bool: fun_bo1175459231l_bool ).

tff(func_def_288,type,
    produc1596656747le_alt: fun_li1598912907le_alt ).

tff(func_def_289,type,
    produc514409495e_indi: fun_li643095493e_indi ).

tff(func_def_290,type,
    produc1067887767t_bool: fun_li998062677t_bool ).

tff(func_def_291,type,
    produc1935847959le_alt: fun_li1343239489le_alt ).

tff(func_def_292,type,
    produc1138073367t_bool: fun_li91123621t_bool ).

tff(func_def_293,type,
    produc1183986199t_bool: fun_li129567685t_bool ).

tff(func_def_294,type,
    produc1735751425t_bool: fun_li1568376929t_bool ).

tff(func_def_295,type,
    produc2078958999le_alt: fun_li968062313le_alt ).

tff(func_def_296,type,
    produc45587863le_alt: fun_li601079429le_alt ).

tff(func_def_297,type,
    produc775282511t_bool: fun_fu1118404335t_bool ).

tff(func_def_298,type,
    produc1397390703t_bool: fun_fu1922278159t_bool ).

tff(func_def_299,type,
    produc1735284823t_bool: fun_fu1363468139t_bool ).

tff(func_def_300,type,
    produc1783421843le_alt: fun_Pr1174154163le_alt ).

tff(func_def_301,type,
    produc1477938991le_alt: fun_Pr975121871le_alt ).

tff(func_def_302,type,
    produc258050046t_bool: fun_Pr1055212137t_bool > fun_Ar1414184139t_bool ).

tff(func_def_303,type,
    produc919986386t_bool: fun_Pr1013460023t_bool > fun_li954148211t_bool ).

tff(func_def_304,type,
    produc2067717087t_bool: fun_Ar1414184139t_bool > fun_Pr1055212137t_bool ).

tff(func_def_305,type,
    produc1791904563t_bool: fun_li954148211t_bool > fun_Pr1013460023t_bool ).

tff(func_def_306,type,
    produc1631581515le_alt: fun_li1598912907le_alt > fun_Pr799129423le_alt ).

tff(func_def_307,type,
    collec1197875955le_alt: fun_Ar1091019988t_bool > fun_Ar1091019988t_bool ).

tff(func_def_308,type,
    collec708328256e_indi: fun_Ar552120407i_bool > fun_Ar552120407i_bool ).

tff(func_def_309,type,
    collec1461897520t_bool: fun_fu775006535l_bool > fun_fu775006535l_bool ).

tff(func_def_310,type,
    collec1699798848t_bool: fun_fu1138137687l_bool > fun_fu1138137687l_bool ).

tff(func_def_311,type,
    collec1113178622t_bool: fun_fu1015689055l_bool > fun_fu1015689055l_bool ).

tff(func_def_312,type,
    collec1209019986le_alt: fun_Pr1055212137t_bool > fun_Pr1055212137t_bool ).

tff(func_def_313,type,
    fFalse: bool ).

tff(func_def_314,type,
    fNot: fun_bool_bool ).

tff(func_def_315,type,
    fTrue: bool ).

tff(func_def_316,type,
    fequal628352221le_alt: fun_Ar1414184139t_bool ).

tff(func_def_317,type,
    fequal293925846e_indi: fun_Ar1906539123i_bool ).

tff(func_def_318,type,
    fequal_bool: fun_bo1549164019l_bool ).

tff(func_def_319,type,
    fequal414630996le_alt: fun_li954148211t_bool ).

tff(func_def_320,type,
    fequal1183344582t_bool: fun_fu2072229747l_bool ).

tff(func_def_321,type,
    fequal730162134t_bool: fun_fu1756482675l_bool ).

tff(func_def_322,type,
    fequal818396648t_bool: fun_fu1515494241l_bool ).

tff(func_def_323,type,
    fequal1713866472le_alt: fun_Pr973555187t_bool ).

tff(func_def_324,type,
    fequal1128546102le_alt: fun_Pr2138751219t_bool ).

tff(func_def_325,type,
    hAPP_A674791462t_bool: ( fun_Ar1091019988t_bool * arrow_931160158le_alt ) > bool ).

tff(func_def_326,type,
    hAPP_A1866301020le_alt: ( fun_Ar1553825290le_alt * arrow_931160158le_alt ) > list_A1748581779le_alt ).

tff(func_def_327,type,
    hAPP_A1858212765t_bool: ( fun_Ar1414184139t_bool * arrow_931160158le_alt ) > fun_Ar1091019988t_bool ).

tff(func_def_328,type,
    hAPP_A1256181151l_bool: ( fun_Ar1689125069l_bool * arrow_931160158le_alt ) > fun_Ar1026121174l_bool ).

tff(func_def_329,type,
    hAPP_A501825983t_bool: ( fun_Ar1164786343t_bool * arrow_931160158le_alt ) > fun_Ar1275715144t_bool ).

tff(func_def_330,type,
    hAPP_A1485971815le_alt: ( fun_Ar2049444117le_alt * arrow_931160158le_alt ) > fun_Ar836847646le_alt ).

tff(func_def_331,type,
    hAPP_A102926893t_bool: ( fun_Ar2078312923t_bool * arrow_931160158le_alt ) > fun_Ar698916836t_bool ).

tff(func_def_332,type,
    hAPP_A658738638t_bool: ( fun_Ar421919996t_bool * arrow_931160158le_alt ) > fun_Ar500372357t_bool ).

tff(func_def_333,type,
    hAPP_A662984834le_alt: ( fun_Ar283682666le_alt * arrow_931160158le_alt ) > fun_li165117579le_alt ).

tff(func_def_334,type,
    hAPP_A449046541l_bool: ( fun_Ar370769269l_bool * arrow_931160158le_alt ) > fun_fu1818556950l_bool ).

tff(func_def_335,type,
    hAPP_A2111843262l_bool: ( fun_Ar1236339238l_bool * arrow_931160158le_alt ) > fun_fu775006535l_bool ).

tff(func_def_336,type,
    hAPP_A343036382t_bool: ( fun_Ar968139788t_bool * arrow_931160158le_alt ) > fun_fu1595299477t_bool ).

tff(func_def_337,type,
    hAPP_A1313889230l_bool: ( fun_Ar1311475510l_bool * arrow_931160158le_alt ) > fun_fu1138137687l_bool ).

tff(func_def_338,type,
    hAPP_A1787768616l_bool: ( fun_Ar1026121174l_bool * arrow_931160158le_alt ) > fun_fu1015689055l_bool ).

tff(func_def_339,type,
    hAPP_A1770325791t_bool: ( fun_Ar1364097613t_bool * arrow_931160158le_alt ) > fun_fu1540265814t_bool ).

tff(func_def_340,type,
    hAPP_A606737888t_bool: ( fun_Ar1275715144t_bool * arrow_931160158le_alt ) > fun_Pr1055212137t_bool ).

tff(func_def_341,type,
    hAPP_A1313367280le_alt: ( fun_Ar836847646le_alt * arrow_931160158le_alt ) > produc1840315303le_alt ).

tff(func_def_342,type,
    hAPP_A1888055029i_bool: ( fun_Ar552120407i_bool * arrow_2115524757e_indi ) > bool ).

tff(func_def_343,type,
    hAPP_A131904271t_bool: ( fun_Ar1583656131t_bool * arrow_2115524757e_indi ) > fun_Ar1164786343t_bool ).

tff(func_def_344,type,
    hAPP_A1020253872t_bool: ( fun_Ar698916836t_bool * arrow_2115524757e_indi ) > fun_Ar1275715144t_bool ).

tff(func_def_345,type,
    hAPP_A643541183i_bool: ( fun_Ar1906539123i_bool * arrow_2115524757e_indi ) > fun_Ar552120407i_bool ).

tff(func_def_346,type,
    hAPP_A1458779421t_bool: ( fun_Ar687924991t_bool * arrow_2115524757e_indi ) > fun_Ar500372357t_bool ).

tff(func_def_347,type,
    hAPP_A1993750875e_indi: ( fun_Ar743199503e_indi * arrow_2115524757e_indi ) > fun_Ar98554099e_indi ).

tff(func_def_348,type,
    hAPP_A1717387813e_indi: ( fun_Ar1717876185e_indi * arrow_2115524757e_indi ) > fun_li1314718141e_indi ).

tff(func_def_349,type,
    hAPP_A605074405l_bool: ( fun_Ar1380772935l_bool * arrow_2115524757e_indi ) > fun_fu1657302605l_bool ).

tff(func_def_350,type,
    hAPP_A182831535l_bool: ( fun_Ar684516451l_bool * arrow_2115524757e_indi ) > fun_fu775006535l_bool ).

tff(func_def_351,type,
    hAPP_A1044336685t_bool: ( fun_Ar1939863823t_bool * arrow_2115524757e_indi ) > fun_fu1595299477t_bool ).

tff(func_def_352,type,
    hAPP_A1538515647l_bool: ( fun_Ar1270429299l_bool * arrow_2115524757e_indi ) > fun_fu1138137687l_bool ).

tff(func_def_353,type,
    hAPP_A1279849719l_bool: ( fun_Ar1198543961l_bool * arrow_2115524757e_indi ) > fun_fu1015689055l_bool ).

tff(func_def_354,type,
    hAPP_A1174518481t_bool: ( fun_Ar500372357t_bool * arrow_2115524757e_indi ) > fun_Pr1055212137t_bool ).

tff(func_def_355,type,
    hAPP_A353813823le_alt: ( fun_Ar369661729le_alt * arrow_2115524757e_indi ) > produc1840315303le_alt ).

tff(func_def_356,type,
    hAPP_A957051793e_indi: ( fun_Ar98554099e_indi * arrow_2115524757e_indi ) > produc790689273e_indi ).

tff(func_def_357,type,
    hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_358,type,
    hAPP_b1990207796t_bool: ( fun_bo687293974t_bool * bool ) > fun_Ar1091019988t_bool ).

tff(func_def_359,type,
    hAPP_b1439777783i_bool: ( fun_bo353189547i_bool * bool ) > fun_Ar552120407i_bool ).

tff(func_def_360,type,
    hAPP_b715352037t_bool: ( fun_bo266809543t_bool * bool ) > fun_Ar500372357t_bool ).

tff(func_def_361,type,
    hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).

tff(func_def_362,type,
    hAPP_b1115999851l_bool: ( fun_bo1175459231l_bool * bool ) > fun_bo41233099l_bool ).

tff(func_def_363,type,
    hAPP_b994696797t_bool: ( fun_bo1175651857t_bool * bool ) > fun_li107039421t_bool ).

tff(func_def_364,type,
    hAPP_b1849744615l_bool: ( fun_bo645734555l_bool * bool ) > fun_fu775006535l_bool ).

tff(func_def_365,type,
    hAPP_b510135029t_bool: ( fun_bo2027801303t_bool * bool ) > fun_fu1595299477t_bool ).

tff(func_def_366,type,
    hAPP_b1787118453l_bool: ( fun_bo492988759l_bool * bool ) > fun_fu1255657237l_bool ).

tff(func_def_367,type,
    hAPP_b816606711l_bool: ( fun_bo979888811l_bool * bool ) > fun_fu1138137687l_bool ).

tff(func_def_368,type,
    hAPP_b1650070463l_bool: ( fun_bo96602657l_bool * bool ) > fun_fu1015689055l_bool ).

tff(func_def_369,type,
    hAPP_b1263785481t_bool: ( fun_bo1116297149t_bool * bool ) > fun_Pr1055212137t_bool ).

tff(func_def_370,type,
    hAPP_b1314516999le_alt: ( fun_bo1479727337le_alt * bool ) > produc1840315303le_alt ).

tff(func_def_371,type,
    hAPP_b2048821609l_bool: ( fun_bo41233099l_bool * bool ) > produc373466377l_bool ).

tff(func_def_372,type,
    hAPP_l713721587t_bool: ( fun_li1323594581t_bool * list_A1748581779le_alt ) > bool ).

tff(func_def_373,type,
    hAPP_l2085326633le_alt: ( fun_li165117579le_alt * list_A1748581779le_alt ) > list_A1748581779le_alt ).

tff(func_def_374,type,
    hAPP_l1542090656le_alt: ( fun_li1563304834le_alt * list_A1748581779le_alt ) > fun_Ar1553825290le_alt ).

tff(func_def_375,type,
    hAPP_l1173894719t_bool: ( fun_li954148211t_bool * list_A1748581779le_alt ) > fun_li1323594581t_bool ).

tff(func_def_376,type,
    hAPP_l38598005le_alt: ( fun_li973302697le_alt * list_A1748581779le_alt ) > fun_li165117579le_alt ).

tff(func_def_377,type,
    hAPP_l1385346191l_bool: ( fun_li971691843l_bool * list_A1748581779le_alt ) > fun_li1990043301l_bool ).

tff(func_def_378,type,
    hAPP_l1285746947le_alt: ( fun_li1501328101le_alt * list_A1748581779le_alt ) > fun_li1019735149le_alt ).

tff(func_def_379,type,
    hAPP_l1949544791le_alt: ( fun_li1598912907le_alt * list_A1748581779le_alt ) > fun_li352365677le_alt ).

tff(func_def_380,type,
    hAPP_l358314791le_alt: ( fun_li799656667le_alt * list_A1748581779le_alt ) > fun_li300043069le_alt ).

tff(func_def_381,type,
    hAPP_l1844587084le_alt: ( fun_li816612014le_alt * list_A1748581779le_alt ) > fun_na1941391286le_alt ).

tff(func_def_382,type,
    hAPP_l462777825l_bool: ( fun_li1644014275l_bool * list_A1748581779le_alt ) > fun_fu1794958667l_bool ).

tff(func_def_383,type,
    hAPP_l869353033le_alt: ( fun_li897167357le_alt * list_A1748581779le_alt ) > fun_fu44355679le_alt ).

tff(func_def_384,type,
    hAPP_l955365607le_alt: ( fun_li1459246747le_alt * list_A1748581779le_alt ) > fun_fu970110205le_alt ).

tff(func_def_385,type,
    hAPP_l896015811l_bool: ( fun_li1990043301l_bool * list_A1748581779le_alt ) > fun_fu745710381l_bool ).

tff(func_def_386,type,
    hAPP_l189416837t_bool: ( fun_li1761430841t_bool * list_A1748581779le_alt ) > fun_fu794113947t_bool ).

tff(func_def_387,type,
    hAPP_l724324921le_alt: ( fun_li1019735149le_alt * list_A1748581779le_alt ) > fun_Pr799129423le_alt ).

tff(func_def_388,type,
    hAPP_l1128853771le_alt: ( fun_li352365677le_alt * list_A1748581779le_alt ) > produc662089077le_alt ).

tff(func_def_389,type,
    hAPP_l878728062i_bool: ( fun_li60471852i_bool * list_A964264886e_indi ) > bool ).

tff(func_def_390,type,
    hAPP_l221792213e_indi: ( fun_li1314718141e_indi * list_A964264886e_indi ) > list_A964264886e_indi ).

tff(func_def_391,type,
    hAPP_l378231516e_indi: ( fun_li2140397636e_indi * list_A964264886e_indi ) > fun_li1314718141e_indi ).

tff(func_def_392,type,
    hAPP_l915221271e_indi: ( fun_li643095493e_indi * list_A964264886e_indi ) > fun_li670536054e_indi ).

tff(func_def_393,type,
    hAPP_l1124485704e_indi: ( fun_li670536054e_indi * list_A964264886e_indi ) > produc645880743e_indi ).

tff(func_def_394,type,
    hAPP_list_bool_bool: ( fun_list_bool_bool * list_bool ) > bool ).

tff(func_def_395,type,
    hAPP_l1189022293t_bool: ( fun_li107039421t_bool * list_bool ) > list_bool ).

tff(func_def_396,type,
    hAPP_l1947611924t_bool: ( fun_li662746748t_bool * list_bool ) > fun_li107039421t_bool ).

tff(func_def_397,type,
    hAPP_l218095399t_bool: ( fun_li998062677t_bool * list_bool ) > fun_li1455667518t_bool ).

tff(func_def_398,type,
    hAPP_l1349316624t_bool: ( fun_li1455667518t_bool * list_bool ) > produc1754317479t_bool ).

tff(func_def_399,type,
    hAPP_l108873084t_bool: ( fun_li31015210t_bool * list_l1735481012le_alt ) > bool ).

tff(func_def_400,type,
    hAPP_l1653688277le_alt: ( fun_li300043069le_alt * list_l1735481012le_alt ) > list_l1735481012le_alt ).

tff(func_def_401,type,
    hAPP_l767557321t_bool: ( fun_li1505404791t_bool * list_l1735481012le_alt ) > fun_li31015210t_bool ).

tff(func_def_402,type,
    hAPP_l2037867230le_alt: ( fun_li1383239238le_alt * list_l1735481012le_alt ) > fun_li300043069le_alt ).

tff(func_def_403,type,
    hAPP_l601007891le_alt: ( fun_li1343239489le_alt * list_l1735481012le_alt ) > fun_li1994300660le_alt ).

tff(func_def_404,type,
    hAPP_l2013461446le_alt: ( fun_li1994300660le_alt * list_l1735481012le_alt ) > produc1655778087le_alt ).

tff(func_def_405,type,
    hAPP_l1132755054l_bool: ( fun_li1450775836l_bool * list_f767102118t_bool ) > bool ).

tff(func_def_406,type,
    hAPP_l1831878357t_bool: ( fun_li161324989t_bool * list_f767102118t_bool ) > list_f767102118t_bool ).

tff(func_def_407,type,
    hAPP_l1251560940t_bool: ( fun_li1389414228t_bool * list_f767102118t_bool ) > fun_li161324989t_bool ).

tff(func_def_408,type,
    hAPP_l197443575t_bool: ( fun_li91123621t_bool * list_f767102118t_bool ) > fun_li955997798t_bool ).

tff(func_def_409,type,
    hAPP_l1542720312t_bool: ( fun_li955997798t_bool * list_f767102118t_bool ) > produc802500007t_bool ).

tff(func_def_410,type,
    hAPP_l1036944766l_bool: ( fun_li1375950892l_bool * list_f1301614006t_bool ) > bool ).

tff(func_def_411,type,
    hAPP_l137391573t_bool: ( fun_li1015506365t_bool * list_f1301614006t_bool ) > list_f1301614006t_bool ).

tff(func_def_412,type,
    hAPP_l475965660t_bool: ( fun_li709301828t_bool * list_f1301614006t_bool ) > fun_li1015506365t_bool ).

tff(func_def_413,type,
    hAPP_l1627811095t_bool: ( fun_li129567685t_bool * list_f1301614006t_bool ) > fun_li1023937398t_bool ).

tff(func_def_414,type,
    hAPP_l1628744776t_bool: ( fun_li1023937398t_bool * list_f1301614006t_bool ) > produc133965735t_bool ).

tff(func_def_415,type,
    hAPP_l971282430l_bool: ( fun_li1766616672l_bool * list_f418358302t_bool ) > bool ).

tff(func_def_416,type,
    hAPP_l943674815t_bool: ( fun_li1979451553t_bool * list_f418358302t_bool ) > list_f418358302t_bool ).

tff(func_def_417,type,
    hAPP_l598805184t_bool: ( fun_li952503796t_bool * list_f418358302t_bool ) > fun_li1979451553t_bool ).

tff(func_def_418,type,
    hAPP_l1306343341t_bool: ( fun_li1568376929t_bool * list_f418358302t_bool ) > fun_li1141377422t_bool ).

tff(func_def_419,type,
    hAPP_l213528876t_bool: ( fun_li1141377422t_bool * list_f418358302t_bool ) > produc1259318155t_bool ).

tff(func_def_420,type,
    hAPP_l108838032t_bool: ( fun_li1818542910t_bool * list_P1216503240le_alt ) > bool ).

tff(func_def_421,type,
    hAPP_l1141483861le_alt: ( fun_li1823148605le_alt * list_P1216503240le_alt ) > list_P1216503240le_alt ).

tff(func_def_422,type,
    hAPP_l1749636298le_alt: ( fun_li276060722le_alt * list_P1216503240le_alt ) > fun_li1823148605le_alt ).

tff(func_def_423,type,
    hAPP_l196402619le_alt: ( fun_li968062313le_alt * list_P1216503240le_alt ) > fun_li143639560le_alt ).

tff(func_def_424,type,
    hAPP_l191462618le_alt: ( fun_li143639560le_alt * list_P1216503240le_alt ) > produc1424499751le_alt ).

tff(func_def_425,type,
    hAPP_l2093488478t_bool: ( fun_li1991898892t_bool * list_P1493174166le_alt ) > bool ).

tff(func_def_426,type,
    hAPP_l1876658005le_alt: ( fun_li1869461181le_alt * list_P1493174166le_alt ) > list_P1493174166le_alt ).

tff(func_def_427,type,
    hAPP_l627553532le_alt: ( fun_li907508836le_alt * list_P1493174166le_alt ) > fun_li1869461181le_alt ).

tff(func_def_428,type,
    hAPP_l1522056279le_alt: ( fun_li601079429le_alt * list_P1493174166le_alt ) > fun_li1636878678le_alt ).

tff(func_def_429,type,
    hAPP_l1906066472le_alt: ( fun_li1636878678le_alt * list_P1493174166le_alt ) > produc718779047le_alt ).

tff(func_def_430,type,
    hAPP_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(func_def_431,type,
    hAPP_n1493999368le_alt: ( fun_na1941391286le_alt * nat ) > list_A1748581779le_alt ).

tff(func_def_432,type,
    hAPP_n447277270le_alt: ( fun_na1791315646le_alt * nat ) > fun_li165117579le_alt ).

tff(func_def_433,type,
    hAPP_n1577580168e_indi: ( fun_na1988220144e_indi * nat ) > fun_li1314718141e_indi ).

tff(func_def_434,type,
    hAPP_n479129736t_bool: ( fun_na1279735280t_bool * nat ) > fun_li107039421t_bool ).

tff(func_def_435,type,
    hAPP_n140868232t_bool: ( fun_na675742448t_bool * nat ) > fun_li161324989t_bool ).

tff(func_def_436,type,
    hAPP_n366487176t_bool: ( fun_na1841387760t_bool * nat ) > fun_li1015506365t_bool ).

tff(func_def_437,type,
    hAPP_n875739372t_bool: ( fun_na699842004t_bool * nat ) > fun_li1979451553t_bool ).

tff(func_def_438,type,
    hAPP_n152084232le_alt: ( fun_na401775984le_alt * nat ) > fun_li1823148605le_alt ).

tff(func_def_439,type,
    hAPP_n108239496le_alt: ( fun_na135885296le_alt * nat ) > fun_li1869461181le_alt ).

tff(func_def_440,type,
    hAPP_n1699378549t_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_441,type,
    hAPP_f939114932l_bool: ( fun_fu1818556950l_bool * fun_Ar1091019988t_bool ) > bool ).

tff(func_def_442,type,
    hAPP_f1892578603t_bool: ( fun_fu978317837t_bool * fun_Ar1091019988t_bool ) > fun_Ar1091019988t_bool ).

tff(func_def_443,type,
    hAPP_f1528883111t_bool: ( fun_fu1186836443t_bool * fun_Ar1091019988t_bool ) > fun_fu1678217534t_bool ).

tff(func_def_444,type,
    hAPP_f2020309431t_bool: ( fun_fu1620540139t_bool * fun_Ar1091019988t_bool ) > fun_fu1551598158t_bool ).

tff(func_def_445,type,
    hAPP_f5211821t_bool: ( fun_fu1015931279t_bool * fun_Ar1091019988t_bool ) > fun_fu1540265814t_bool ).

tff(func_def_446,type,
    hAPP_f651702217t_bool: ( fun_fu1995322877t_bool * fun_Ar1091019988t_bool ) > fun_Pr459606624t_bool ).

tff(func_def_447,type,
    hAPP_f566168733le_alt: ( fun_fu29102929le_alt * fun_Ar1553825290le_alt ) > fun_Ar283682666le_alt ).

tff(func_def_448,type,
    hAPP_f117812633t_bool: ( fun_fu1888849659t_bool * fun_Ar1414184139t_bool ) > fun_Ar1414184139t_bool ).

tff(func_def_449,type,
    hAPP_f1435501085t_bool: ( fun_fu334859135t_bool * fun_Ar1689125069l_bool ) > fun_Ar1364097613t_bool ).

tff(func_def_450,type,
    hAPP_f1176598245l_bool: ( fun_fu960970567l_bool * fun_Ar2049444117le_alt ) > fun_Ar1689125069l_bool ).

tff(func_def_451,type,
    hAPP_f70893619l_bool: ( fun_fu1606938133l_bool * fun_Ar421919996t_bool ) > fun_fu325817268l_bool ).

tff(func_def_452,type,
    hAPP_f1593322349le_alt: ( fun_fu1981597653le_alt * fun_Ar283682666le_alt ) > fun_li1563304834le_alt ).

tff(func_def_453,type,
    hAPP_f1934104915l_bool: ( fun_fu844367925l_bool * fun_Ar968139788t_bool ) > fun_fu322579140l_bool ).

tff(func_def_454,type,
    hAPP_f2087965871t_bool: ( fun_fu709917073t_bool * fun_Ar1026121174l_bool ) > fun_fu1540265814t_bool ).

tff(func_def_455,type,
    hAPP_f15758621t_bool: ( fun_fu1498496639t_bool * fun_Ar1364097613t_bool ) > fun_fu157004749t_bool ).

tff(func_def_456,type,
    hAPP_f1341663117l_bool: ( fun_fu421594869l_bool * fun_Ar1275715144t_bool ) > fun_fu1974304256l_bool ).

tff(func_def_457,type,
    hAPP_f1395387255l_bool: ( fun_fu1476972377l_bool * fun_Ar836847646le_alt ) > fun_Ar1026121174l_bool ).

tff(func_def_458,type,
    hAPP_f1473673847l_bool: ( fun_fu308010585l_bool * fun_Ar836847646le_alt ) > fun_fu1104407766l_bool ).

tff(func_def_459,type,
    hAPP_f1397511071l_bool: ( fun_fu1657302605l_bool * fun_Ar552120407i_bool ) > bool ).

tff(func_def_460,type,
    hAPP_f1282576021i_bool: ( fun_fu1058839037i_bool * fun_Ar552120407i_bool ) > fun_Ar552120407i_bool ).

tff(func_def_461,type,
    hAPP_f1845592261i_bool: ( fun_fu1188127219i_bool * fun_Ar552120407i_bool ) > fun_fu1765260675i_bool ).

tff(func_def_462,type,
    hAPP_f301073845i_bool: ( fun_fu509663715i_bool * fun_Ar552120407i_bool ) > fun_fu2127564915i_bool ).

tff(func_def_463,type,
    hAPP_f676424105i_bool: ( fun_fu536674321i_bool * fun_Ar552120407i_bool ) > fun_fu1766473067i_bool ).

tff(func_def_464,type,
    hAPP_f324402723i_bool: ( fun_fu1439397201i_bool * fun_Ar552120407i_bool ) > fun_Pr39488737i_bool ).

tff(func_def_465,type,
    hAPP_f141075873t_bool: ( fun_fu209106563t_bool * fun_Ar1583656131t_bool ) > fun_Ar2078312923t_bool ).

tff(func_def_466,type,
    hAPP_f293545699t_bool: ( fun_fu613599045t_bool * fun_Ar698916836t_bool ) > fun_Ar421919996t_bool ).

tff(func_def_467,type,
    hAPP_f470111209i_bool: ( fun_fu945932491i_bool * fun_Ar1906539123i_bool ) > fun_Ar1906539123i_bool ).

tff(func_def_468,type,
    hAPP_f162243405l_bool: ( fun_fu1591782325l_bool * fun_Ar687924991t_bool ) > fun_fu1675261879l_bool ).

tff(func_def_469,type,
    hAPP_f467714381l_bool: ( fun_fu1816256693l_bool * fun_Ar1939863823t_bool ) > fun_fu350452167l_bool ).

tff(func_def_470,type,
    hAPP_f61189590le_alt: ( fun_fu1917206794le_alt * fun_Ar500372357t_bool ) > arrow_931160158le_alt ).

tff(func_def_471,type,
    hAPP_f146696477e_indi: ( fun_fu908353023e_indi * fun_Ar500372357t_bool ) > arrow_2115524757e_indi ).

tff(func_def_472,type,
    hAPP_f1766661605l_bool: ( fun_fu775006535l_bool * fun_Ar500372357t_bool ) > bool ).

tff(func_def_473,type,
    hAPP_f87867740t_bool: ( fun_fu1678217534t_bool * fun_Ar500372357t_bool ) > fun_Ar1091019988t_bool ).

tff(func_def_474,type,
    hAPP_f109229519i_bool: ( fun_fu1765260675i_bool * fun_Ar500372357t_bool ) > fun_Ar552120407i_bool ).

tff(func_def_475,type,
    hAPP_f576849227t_bool: ( fun_fu757621293t_bool * fun_Ar500372357t_bool ) > fun_Ar1583656131t_bool ).

tff(func_def_476,type,
    hAPP_f84039575l_bool: ( fun_fu1471766731l_bool * fun_Ar500372357t_bool ) > fun_bool_bool ).

tff(func_def_477,type,
    hAPP_f523382069t_bool: ( fun_fu1689147625t_bool * fun_Ar500372357t_bool ) > fun_li161324989t_bool ).

tff(func_def_478,type,
    hAPP_f1839818431l_bool: ( fun_fu2072229747l_bool * fun_Ar500372357t_bool ) > fun_fu775006535l_bool ).

tff(func_def_479,type,
    hAPP_f1863504955t_bool: ( fun_fu1118404335t_bool * fun_Ar500372357t_bool ) > fun_fu330028739t_bool ).

tff(func_def_480,type,
    hAPP_f2029708741l_bool: ( fun_fu1291054887l_bool * fun_Ar500372357t_bool ) > fun_fu614742333l_bool ).

tff(func_def_481,type,
    hAPP_f1498158055l_bool: ( fun_fu787660105l_bool * fun_Ar500372357t_bool ) > fun_fu1015689055l_bool ).

tff(func_def_482,type,
    hAPP_f792184801t_bool: ( fun_fu1595299477t_bool * fun_Ar500372357t_bool ) > fun_Pr1055212137t_bool ).

tff(func_def_483,type,
    hAPP_f1203715503t_bool: ( fun_fu2027003875t_bool * fun_Ar500372357t_bool ) > fun_Pr1013460023t_bool ).

tff(func_def_484,type,
    hAPP_f818852349le_alt: ( fun_fu523504735le_alt * fun_Ar500372357t_bool ) > produc662089077le_alt ).

tff(func_def_485,type,
    hAPP_f605725025t_bool: ( fun_fu330028739t_bool * fun_Ar500372357t_bool ) > produc1905018073t_bool ).

tff(func_def_486,type,
    hAPP_f1269190349l_bool: ( fun_fu1338365749l_bool * fun_Ar369661729le_alt ) > fun_fu633681369l_bool ).

tff(func_def_487,type,
    hAPP_f387058535l_bool: ( fun_fu1255657237l_bool * fun_bool_bool ) > bool ).

tff(func_def_488,type,
    hAPP_f961197973l_bool: ( fun_fu701319549l_bool * fun_bool_bool ) > fun_bool_bool ).

tff(func_def_489,type,
    hAPP_f1567951747t_bool: ( fun_fu958719595t_bool * fun_bool_bool ) > fun_fu978317837t_bool ).

tff(func_def_490,type,
    hAPP_f694179955i_bool: ( fun_fu1249914075i_bool * fun_bool_bool ) > fun_fu1058839037i_bool ).

tff(func_def_491,type,
    hAPP_f2138308309l_bool: ( fun_fu1906307459l_bool * fun_bool_bool ) > fun_fu1471766731l_bool ).

tff(func_def_492,type,
    hAPP_f1172769267l_bool: ( fun_fu744228187l_bool * fun_bool_bool ) > fun_fu701319549l_bool ).

tff(func_def_493,type,
    hAPP_f1078200691l_bool: ( fun_fu658769883l_bool * fun_bool_bool ) > fun_fu694861565l_bool ).

tff(func_def_494,type,
    hAPP_f1090778053l_bool: ( fun_fu648305011l_bool * fun_bool_bool ) > fun_fu1460706235l_bool ).

tff(func_def_495,type,
    hAPP_f2053120627l_bool: ( fun_fu138431195l_bool * fun_bool_bool ) > fun_fu1687768061l_bool ).

tff(func_def_496,type,
    hAPP_f925342873l_bool: ( fun_fu1671272065l_bool * fun_bool_bool ) > fun_fu1155544867l_bool ).

tff(func_def_497,type,
    hAPP_f1519524905l_bool: ( fun_fu1190918417l_bool * fun_bool_bool ) > fun_fu44268723l_bool ).

tff(func_def_498,type,
    hAPP_f1056396531t_bool: ( fun_fu1462061403t_bool * fun_bool_bool ) > fun_fu962221693t_bool ).

tff(func_def_499,type,
    hAPP_f208471283t_bool: ( fun_fu1179783771t_bool * fun_bool_bool ) > fun_fu2055211133t_bool ).

tff(func_def_500,type,
    hAPP_f1426772275l_bool: ( fun_fu1465670113l_bool * fun_bool_bool ) > fun_Pr359894313l_bool ).

tff(func_def_501,type,
    hAPP_f621492301l_bool: ( fun_fu1395443509l_bool * fun_bo266809543t_bool ) > fun_fu2017950079l_bool ).

tff(func_def_502,type,
    hAPP_f1897201897l_bool: ( fun_fu1519655115l_bool * fun_bo1549164019l_bool ) > fun_bo1549164019l_bool ).

tff(func_def_503,type,
    hAPP_f674575949l_bool: ( fun_fu752049205l_bool * fun_bo2027801303t_bool ) > fun_fu2090861455l_bool ).

tff(func_def_504,type,
    hAPP_f134102069l_bool: ( fun_fu572324631l_bool * fun_bo1116297149t_bool ) > fun_fu2066072949l_bool ).

tff(func_def_505,type,
    hAPP_f1862158541l_bool: ( fun_fu1156700085l_bool * fun_bo1479727337le_alt ) > fun_fu1023291297l_bool ).

tff(func_def_506,type,
    hAPP_f902378909l_bool: ( fun_fu1794958667l_bool * fun_li1323594581t_bool ) > bool ).

tff(func_def_507,type,
    hAPP_f2067535732le_alt: ( fun_fu695394268le_alt * fun_li165117579le_alt ) > fun_Ar283682666le_alt ).

tff(func_def_508,type,
    hAPP_f2007624449le_alt: ( fun_fu1583209007le_alt * fun_li165117579le_alt ) > fun_li1598912907le_alt ).

tff(func_def_509,type,
    hAPP_f900901495le_alt: ( fun_fu44355679le_alt * fun_li165117579le_alt ) > fun_li352365677le_alt ).

tff(func_def_510,type,
    hAPP_f1762369621le_alt: ( fun_fu1752675127le_alt * fun_li973302697le_alt ) > fun_li973302697le_alt ).

tff(func_def_511,type,
    hAPP_f293521405le_alt: ( fun_fu1433315039le_alt * fun_li973302697le_alt ) > fun_fu29102929le_alt ).

tff(func_def_512,type,
    hAPP_f133408895t_bool: ( fun_fu1262524641t_bool * fun_li971691843l_bool ) > fun_li1761430841t_bool ).

tff(func_def_513,type,
    hAPP_f1817977963le_alt: ( fun_fu195271449le_alt * fun_li1501328101le_alt ) > fun_li1459246747le_alt ).

tff(func_def_514,type,
    hAPP_f1120297681l_bool: ( fun_fu1205628211l_bool * fun_li1598912907le_alt ) > fun_li971691843l_bool ).

tff(func_def_515,type,
    hAPP_f1272206039le_alt: ( fun_fu1143436683le_alt * fun_li1598912907le_alt ) > fun_li1501328101le_alt ).

tff(func_def_516,type,
    hAPP_f186933785le_alt: ( fun_fu636575483le_alt * fun_li1598912907le_alt ) > fun_li1598912907le_alt ).

tff(func_def_517,type,
    hAPP_f74494859le_alt: ( fun_fu1491303661le_alt * fun_li1598912907le_alt ) > fun_li897167357le_alt ).

tff(func_def_518,type,
    hAPP_f760536509le_alt: ( fun_fu384937503le_alt * fun_li1598912907le_alt ) > fun_fu1583209007le_alt ).

tff(func_def_519,type,
    hAPP_f724120879le_alt: ( fun_fu1942138513le_alt * fun_li897167357le_alt ) > fun_fu1583209007le_alt ).

tff(func_def_520,type,
    hAPP_f1043429597le_alt: ( fun_fu2085528593le_alt * fun_li1459246747le_alt ) > fun_fu636575483le_alt ).

tff(func_def_521,type,
    hAPP_f441886219t_bool: ( fun_fu1211133043t_bool * fun_li1990043301l_bool ) > fun_fu794113947t_bool ).

tff(func_def_522,type,
    hAPP_f1269493503t_bool: ( fun_fu1211939425t_bool * fun_li1761430841t_bool ) > fun_fu1077841091t_bool ).

tff(func_def_523,type,
    hAPP_f1060117389le_alt: ( fun_fu2139722817le_alt * fun_li1019735149le_alt ) > fun_fu970110205le_alt ).

tff(func_def_524,type,
    hAPP_f1660849997l_bool: ( fun_fu1464168373l_bool * fun_li352365677le_alt ) > fun_li1990043301l_bool ).

tff(func_def_525,type,
    hAPP_f330272197le_alt: ( fun_fu6778611le_alt * fun_li352365677le_alt ) > fun_li1019735149le_alt ).

tff(func_def_526,type,
    hAPP_f1535045909le_alt: ( fun_fu970110205le_alt * fun_li352365677le_alt ) > fun_li352365677le_alt ).

tff(func_def_527,type,
    hAPP_f1292327175le_alt: ( fun_fu46714991le_alt * fun_li352365677le_alt ) > fun_fu44355679le_alt ).

tff(func_def_528,type,
    hAPP_f1168703685le_alt: ( fun_fu2125885869le_alt * fun_na1791315646le_alt ) > fun_li816612014le_alt ).

tff(func_def_529,type,
    hAPP_f34841350l_bool: ( fun_fu325817268l_bool * fun_fu1461160766l_bool ) > bool ).

tff(func_def_530,type,
    hAPP_f1106117654l_bool: ( fun_fu322579140l_bool * fun_fu161865806l_bool ) > bool ).

tff(func_def_531,type,
    hAPP_f318336003t_bool: ( fun_fu1481444331t_bool * fun_fu709917073t_bool ) > fun_fu334859135t_bool ).

tff(func_def_532,type,
    hAPP_f1677589406l_bool: ( fun_fu1974304256l_bool * fun_fu156643262l_bool ) > bool ).

tff(func_def_533,type,
    hAPP_f628920872l_bool: ( fun_fu1104407766l_bool * fun_fu846923616t_bool ) > bool ).

tff(func_def_534,type,
    hAPP_f695996419l_bool: ( fun_fu1254085227l_bool * fun_fu1476972377l_bool ) > fun_fu960970567l_bool ).

tff(func_def_535,type,
    hAPP_f1037107797l_bool: ( fun_fu1675261879l_bool * fun_fu1131021301l_bool ) > bool ).

tff(func_def_536,type,
    hAPP_f2076228197l_bool: ( fun_fu350452167l_bool * fun_fu1944573957l_bool ) > bool ).

tff(func_def_537,type,
    hAPP_f863364943l_bool: ( fun_fu1959128625l_bool * fun_fu1917206794le_alt ) > fun_fu1844877762l_bool ).

tff(func_def_538,type,
    hAPP_f1690559309l_bool: ( fun_fu1227713461l_bool * fun_fu908353023e_indi ) > fun_fu1936649911l_bool ).

tff(func_def_539,type,
    hAPP_f1465510031l_bool: ( fun_fu614742333l_bool * fun_fu775006535l_bool ) > bool ).

tff(func_def_540,type,
    hAPP_f1837403508l_bool: ( fun_fu1285222492l_bool * fun_fu775006535l_bool ) > fun_Ar1236339238l_bool ).

tff(func_def_541,type,
    hAPP_f2099786901l_bool: ( fun_fu501996483l_bool * fun_fu775006535l_bool ) > fun_Ar684516451l_bool ).

tff(func_def_542,type,
    hAPP_f126479309l_bool: ( fun_fu1490125691l_bool * fun_fu775006535l_bool ) > fun_bo645734555l_bool ).

tff(func_def_543,type,
    hAPP_f626396309l_bool: ( fun_fu694861565l_bool * fun_fu775006535l_bool ) > fun_fu775006535l_bool ).

tff(func_def_544,type,
    hAPP_f120150093l_bool: ( fun_fu81176373l_bool * fun_fu775006535l_bool ) > fun_fu117797375l_bool ).

tff(func_def_545,type,
    hAPP_f1405662645l_bool: ( fun_fu719474787l_bool * fun_fu775006535l_bool ) > fun_Pr966099075l_bool ).

tff(func_def_546,type,
    hAPP_f1270395369l_bool: ( fun_fu1430206667l_bool * fun_fu2072229747l_bool ) > fun_fu2072229747l_bool ).

tff(func_def_547,type,
    hAPP_f245324486le_alt: ( fun_fu367862778le_alt * fun_fu1595299477t_bool ) > arrow_931160158le_alt ).

tff(func_def_548,type,
    hAPP_f1763702829e_indi: ( fun_fu1596339983e_indi * fun_fu1595299477t_bool ) > arrow_2115524757e_indi ).

tff(func_def_549,type,
    hAPP_f611501301l_bool: ( fun_fu1138137687l_bool * fun_fu1595299477t_bool ) > bool ).

tff(func_def_550,type,
    hAPP_f735144044t_bool: ( fun_fu1551598158t_bool * fun_fu1595299477t_bool ) > fun_Ar1091019988t_bool ).

tff(func_def_551,type,
    hAPP_f740807359i_bool: ( fun_fu2127564915i_bool * fun_fu1595299477t_bool ) > fun_Ar552120407i_bool ).

tff(func_def_552,type,
    hAPP_f352672903l_bool: ( fun_fu1460706235l_bool * fun_fu1595299477t_bool ) > fun_bool_bool ).

tff(func_def_553,type,
    hAPP_f812806181t_bool: ( fun_fu785470425t_bool * fun_fu1595299477t_bool ) > fun_li1015506365t_bool ).

tff(func_def_554,type,
    hAPP_f926158015l_bool: ( fun_fu1756482675l_bool * fun_fu1595299477t_bool ) > fun_fu1138137687l_bool ).

tff(func_def_555,type,
    hAPP_f1703384923t_bool: ( fun_fu1922278159t_bool * fun_fu1595299477t_bool ) > fun_fu950932723t_bool ).

tff(func_def_556,type,
    hAPP_f1709225957l_bool: ( fun_fu446267975l_bool * fun_fu1595299477t_bool ) > fun_fu1378577485l_bool ).

tff(func_def_557,type,
    hAPP_f1014198943t_bool: ( fun_fu2016938707t_bool * fun_fu1595299477t_bool ) > fun_Pr1013460023t_bool ).

tff(func_def_558,type,
    hAPP_f1027549453le_alt: ( fun_fu1883622767le_alt * fun_fu1595299477t_bool ) > produc662089077le_alt ).

tff(func_def_559,type,
    hAPP_f1250830225t_bool: ( fun_fu950932723t_bool * fun_fu1595299477t_bool ) > produc230355961t_bool ).

tff(func_def_560,type,
    hAPP_f378296397l_bool: ( fun_fu658052661l_bool * fun_fu523504735le_alt ) > fun_fu1614642455l_bool ).

tff(func_def_561,type,
    hAPP_f1625336439l_bool: ( fun_fu633681369l_bool * fun_fu2073792791t_bool ) > bool ).

tff(func_def_562,type,
    hAPP_f976121117l_bool: ( fun_fu2017950079l_bool * fun_fu1311768765l_bool ) > bool ).

tff(func_def_563,type,
    hAPP_f1812901165l_bool: ( fun_fu2090861455l_bool * fun_fu497048781l_bool ) > bool ).

tff(func_def_564,type,
    hAPP_f2041629639l_bool: ( fun_fu2066072949l_bool * fun_fu1337686655l_bool ) > bool ).

tff(func_def_565,type,
    hAPP_f1339624767l_bool: ( fun_fu1023291297l_bool * fun_fu853181919t_bool ) > bool ).

tff(func_def_566,type,
    hAPP_f1802448643t_bool: ( fun_fu231779051t_bool * fun_fu1211133043t_bool ) > fun_fu1262524641t_bool ).

tff(func_def_567,type,
    hAPP_f1428546141le_alt: ( fun_fu1484286911le_alt * fun_fu2139722817le_alt ) > fun_fu195271449le_alt ).

tff(func_def_568,type,
    hAPP_f788365459l_bool: ( fun_fu1094023675l_bool * fun_fu1464168373l_bool ) > fun_fu1205628211l_bool ).

tff(func_def_569,type,
    hAPP_f1730519937le_alt: ( fun_fu954714723le_alt * fun_fu6778611le_alt ) > fun_fu1143436683le_alt ).

tff(func_def_570,type,
    hAPP_f489798931le_alt: ( fun_fu1046705531le_alt * fun_fu46714991le_alt ) > fun_fu1491303661le_alt ).

tff(func_def_571,type,
    hAPP_f1553901844l_bool: ( fun_fu1844877762l_bool * fun_fu894398540t_bool ) > bool ).

tff(func_def_572,type,
    hAPP_f1298495829l_bool: ( fun_fu1936649911l_bool * fun_fu887487221i_bool ) > bool ).

tff(func_def_573,type,
    hAPP_f1223452061l_bool: ( fun_fu117797375l_bool * fun_fu614742333l_bool ) > bool ).

tff(func_def_574,type,
    hAPP_f340174383l_bool: ( fun_fu2120515089l_bool * fun_fu367862778le_alt ) > fun_fu316050610l_bool ).

tff(func_def_575,type,
    hAPP_f1536115021l_bool: ( fun_fu1739677877l_bool * fun_fu1596339983e_indi ) > fun_fu2038151111l_bool ).

tff(func_def_576,type,
    hAPP_f361555359l_bool: ( fun_fu1378577485l_bool * fun_fu1138137687l_bool ) > bool ).

tff(func_def_577,type,
    hAPP_f2030964596l_bool: ( fun_fu511314268l_bool * fun_fu1138137687l_bool ) > fun_Ar1311475510l_bool ).

tff(func_def_578,type,
    hAPP_f1639366069l_bool: ( fun_fu2134310371l_bool * fun_fu1138137687l_bool ) > fun_Ar1270429299l_bool ).

tff(func_def_579,type,
    hAPP_f1922499821l_bool: ( fun_fu1529394587l_bool * fun_fu1138137687l_bool ) > fun_bo979888811l_bool ).

tff(func_def_580,type,
    hAPP_f1077478037l_bool: ( fun_fu1687768061l_bool * fun_fu1138137687l_bool ) > fun_fu1138137687l_bool ).

tff(func_def_581,type,
    hAPP_f481662541l_bool: ( fun_fu413400117l_bool * fun_fu1138137687l_bool ) > fun_fu211637007l_bool ).

tff(func_def_582,type,
    hAPP_f64308949l_bool: ( fun_fu1879177859l_bool * fun_fu1138137687l_bool ) > fun_Pr388821651l_bool ).

tff(func_def_583,type,
    hAPP_f1147912169l_bool: ( fun_fu25450699l_bool * fun_fu1756482675l_bool ) > fun_fu1756482675l_bool ).

tff(func_def_584,type,
    hAPP_f1757769293l_bool: ( fun_fu2092057397l_bool * fun_fu1883622767le_alt ) > fun_fu141700647l_bool ).

tff(func_def_585,type,
    hAPP_f1710145205l_bool: ( fun_fu1614642455l_bool * fun_fu2129699413t_bool ) > bool ).

tff(func_def_586,type,
    hAPP_f1099589124l_bool: ( fun_fu316050610l_bool * fun_fu213291324t_bool ) > bool ).

tff(func_def_587,type,
    hAPP_f1616443493l_bool: ( fun_fu2038151111l_bool * fun_fu1480005125i_bool ) > bool ).

tff(func_def_588,type,
    hAPP_f2081160365l_bool: ( fun_fu211637007l_bool * fun_fu1378577485l_bool ) > bool ).

tff(func_def_589,type,
    hAPP_f1015621061l_bool: ( fun_fu141700647l_bool * fun_fu153003365t_bool ) > bool ).

tff(func_def_590,type,
    hAPP_f630783048l_bool: ( fun_fu927497898l_bool * fun_fu748752232t_bool ) > bool ).

tff(func_def_591,type,
    hAPP_f372503329l_bool: ( fun_fu1669219279l_bool * fun_fu790078681i_bool ) > bool ).

tff(func_def_592,type,
    hAPP_f1656729961l_bool: ( fun_fu1681173271l_bool * fun_fu705370401l_bool ) > bool ).

tff(func_def_593,type,
    hAPP_f562996865l_bool: ( fun_fu2099342895l_bool * fun_fu1153947193t_bool ) > bool ).

tff(func_def_594,type,
    hAPP_f1639338610l_bool: ( fun_fu2114825504l_bool * fun_fu369161386t_bool ) > bool ).

tff(func_def_595,type,
    hAPP_f932587383l_bool: ( fun_fu2088415961l_bool * fun_fu83070487i_bool ) > bool ).

tff(func_def_596,type,
    hAPP_f209710093l_bool: ( fun_fu199169653l_bool * fun_fu207034610le_alt ) > fun_fu927497898l_bool ).

tff(func_def_597,type,
    hAPP_f43388905l_bool: ( fun_fu1041166411l_bool * fun_fu2016509975e_indi ) > fun_fu1669219279l_bool ).

tff(func_def_598,type,
    hAPP_f1021703871l_bool: ( fun_fu705370401l_bool * fun_fu1015689055l_bool ) > bool ).

tff(func_def_599,type,
    hAPP_f377423160l_bool: ( fun_fu813042202l_bool * fun_fu1015689055l_bool ) > fun_Ar1026121174l_bool ).

tff(func_def_600,type,
    hAPP_f1793492343l_bool: ( fun_fu279877163l_bool * fun_fu1015689055l_bool ) > fun_Ar1198543961l_bool ).

tff(func_def_601,type,
    hAPP_f259799103l_bool: ( fun_fu1439779443l_bool * fun_fu1015689055l_bool ) > fun_bo96602657l_bool ).

tff(func_def_602,type,
    hAPP_f422714471l_bool: ( fun_fu16872987l_bool * fun_fu1015689055l_bool ) > fun_fu787660105l_bool ).

tff(func_def_603,type,
    hAPP_f717334393l_bool: ( fun_fu830715227l_bool * fun_fu1015689055l_bool ) > fun_fu1681173271l_bool ).

tff(func_def_604,type,
    hAPP_f1050277569l_bool: ( fun_fu1155544867l_bool * fun_fu1015689055l_bool ) > fun_fu1015689055l_bool ).

tff(func_def_605,type,
    hAPP_f1115980887l_bool: ( fun_fu72019851l_bool * fun_fu1015689055l_bool ) > fun_Pr1671213113l_bool ).

tff(func_def_606,type,
    hAPP_f2044798215t_bool: ( fun_fu1525712367t_bool * fun_fu699199419t_bool ) > fun_fu757621293t_bool ).

tff(func_def_607,type,
    hAPP_f5916613l_bool: ( fun_fu790360103l_bool * fun_fu1515494241l_bool ) > fun_fu1515494241l_bool ).

tff(func_def_608,type,
    hAPP_f672930729l_bool: ( fun_fu1925294731l_bool * fun_fu89803383le_alt ) > fun_fu2099342895l_bool ).

tff(func_def_609,type,
    hAPP_f511502807l_bool: ( fun_fu999669305l_bool * fun_fu171717239t_bool ) > bool ).

tff(func_def_610,type,
    hAPP_f2119607605l_bool: ( fun_fu2024104855l_bool * fun_fu392022229l_bool ) > bool ).

tff(func_def_611,type,
    hAPP_f375536965l_bool: ( fun_fu1649100199l_bool * fun_fu1577680101l_bool ) > bool ).

tff(func_def_612,type,
    hAPP_f1500482991l_bool: ( fun_fu889345373l_bool * fun_fu118533223l_bool ) > bool ).

tff(func_def_613,type,
    hAPP_f708603223l_bool: ( fun_fu1196769721l_bool * fun_fu406025719t_bool ) > bool ).

tff(func_def_614,type,
    hAPP_f2088469003l_bool: ( fun_fu1519476973l_bool * fun_Pr1852695144le_alt ) > fun_fu2114825504l_bool ).

tff(func_def_615,type,
    hAPP_f1165889229l_bool: ( fun_fu1286543157l_bool * fun_Pr1698894881e_indi ) > fun_fu2088415961l_bool ).

tff(func_def_616,type,
    hAPP_f463844874le_alt: ( fun_fu207034610le_alt * fun_Pr1055212137t_bool ) > arrow_931160158le_alt ).

tff(func_def_617,type,
    hAPP_f2029284841e_indi: ( fun_fu2016509975e_indi * fun_Pr1055212137t_bool ) > arrow_2115524757e_indi ).

tff(func_def_618,type,
    hAPP_f429946033l_bool: ( fun_fu1015689055l_bool * fun_Pr1055212137t_bool ) > bool ).

tff(func_def_619,type,
    hAPP_f1099651112t_bool: ( fun_fu1540265814t_bool * fun_Pr1055212137t_bool ) > fun_Ar1091019988t_bool ).

tff(func_def_620,type,
    hAPP_f1810968607t_bool: ( fun_fu157004749t_bool * fun_Pr1055212137t_bool ) > fun_Ar1414184139t_bool ).

tff(func_def_621,type,
    hAPP_f1909595219t_bool: ( fun_fu699199419t_bool * fun_Pr1055212137t_bool ) > fun_Ar1164786343t_bool ).

tff(func_def_622,type,
    hAPP_f786530292t_bool: ( fun_fu1628463836t_bool * fun_Pr1055212137t_bool ) > fun_Ar1275715144t_bool ).

tff(func_def_623,type,
    hAPP_f1957024259i_bool: ( fun_fu1766473067i_bool * fun_Pr1055212137t_bool ) > fun_Ar552120407i_bool ).

tff(func_def_624,type,
    hAPP_f311418073t_bool: ( fun_fu243393031t_bool * fun_Pr1055212137t_bool ) > fun_Ar500372357t_bool ).

tff(func_def_625,type,
    hAPP_f269590987l_bool: ( fun_fu44268723l_bool * fun_Pr1055212137t_bool ) > fun_bool_bool ).

tff(func_def_626,type,
    hAPP_f414777105t_bool: ( fun_fu831091903t_bool * fun_Pr1055212137t_bool ) > fun_bo1116297149t_bool ).

tff(func_def_627,type,
    hAPP_f1402999885t_bool: ( fun_fu2137254965t_bool * fun_Pr1055212137t_bool ) > fun_li1979451553t_bool ).

tff(func_def_628,type,
    hAPP_f1370368205l_bool: ( fun_fu1556412341l_bool * fun_Pr1055212137t_bool ) > fun_fu705370401l_bool ).

tff(func_def_629,type,
    hAPP_f314169011l_bool: ( fun_fu1515494241l_bool * fun_Pr1055212137t_bool ) > fun_fu1015689055l_bool ).

tff(func_def_630,type,
    hAPP_f243222077t_bool: ( fun_fu1363468139t_bool * fun_Pr1055212137t_bool ) > fun_fu772265193t_bool ).

tff(func_def_631,type,
    hAPP_f70231061t_bool: ( fun_fu962221693t_bool * fun_Pr1055212137t_bool ) > fun_Pr1055212137t_bool ).

tff(func_def_632,type,
    hAPP_f557837283t_bool: ( fun_fu1275593675t_bool * fun_Pr1055212137t_bool ) > fun_Pr1013460023t_bool ).

tff(func_def_633,type,
    hAPP_f303577849t_bool: ( fun_fu283227047t_bool * fun_Pr1055212137t_bool ) > fun_Pr1846448037t_bool ).

tff(func_def_634,type,
    hAPP_f1322099913le_alt: ( fun_fu89803383le_alt * fun_Pr1055212137t_bool ) > produc662089077le_alt ).

tff(func_def_635,type,
    hAPP_f1050248635t_bool: ( fun_fu772265193t_bool * fun_Pr1055212137t_bool ) > produc23775335t_bool ).

tff(func_def_636,type,
    hAPP_f1650801283l_bool: ( fun_fu612692971l_bool * fun_Pr1228236907l_bool ) > fun_fu1476972377l_bool ).

tff(func_def_637,type,
    hAPP_f182135529t_bool: ( fun_fu728481739t_bool * fun_Pr973555187t_bool ) > fun_Pr973555187t_bool ).

tff(func_def_638,type,
    hAPP_f1919248077l_bool: ( fun_fu293053621l_bool * fun_Pr1717845889le_alt ) > fun_fu999669305l_bool ).

tff(func_def_639,type,
    hAPP_f568680451l_bool: ( fun_fu899631025l_bool * fun_Pr811923643i_bool ) > bool ).

tff(func_def_640,type,
    hAPP_f550841667i_bool: ( fun_fu1432899755i_bool * fun_Pr811923643i_bool ) > fun_Pr1415161449i_bool ).

tff(func_def_641,type,
    hAPP_f1098788115l_bool: ( fun_fu1710745281l_bool * fun_Pr754217419l_bool ) > bool ).

tff(func_def_642,type,
    hAPP_f1114274611l_bool: ( fun_fu567784347l_bool * fun_Pr754217419l_bool ) > fun_Pr1922637673l_bool ).

tff(func_def_643,type,
    hAPP_f686625151l_bool: ( fun_fu745710381l_bool * fun_Pr1013460023t_bool ) > bool ).

tff(func_def_644,type,
    hAPP_f137643187t_bool: ( fun_fu794113947t_bool * fun_Pr1013460023t_bool ) > fun_li1323594581t_bool ).

tff(func_def_645,type,
    hAPP_f615584405t_bool: ( fun_fu1077841091t_bool * fun_Pr1013460023t_bool ) > fun_li954148211t_bool ).

tff(func_def_646,type,
    hAPP_f1701776901t_bool: ( fun_fu212416947t_bool * fun_Pr1013460023t_bool ) > fun_fu2027003875t_bool ).

tff(func_def_647,type,
    hAPP_f1729202933t_bool: ( fun_fu1019554211t_bool * fun_Pr1013460023t_bool ) > fun_fu2016938707t_bool ).

tff(func_def_648,type,
    hAPP_f2035600681t_bool: ( fun_fu798955793t_bool * fun_Pr1013460023t_bool ) > fun_fu1275593675t_bool ).

tff(func_def_649,type,
    hAPP_f1545334371t_bool: ( fun_fu595308561t_bool * fun_Pr1013460023t_bool ) > fun_Pr1556001345t_bool ).

tff(func_def_650,type,
    hAPP_f842237845t_bool: ( fun_fu2055211133t_bool * fun_Pr1013460023t_bool ) > fun_Pr1013460023t_bool ).

tff(func_def_651,type,
    hAPP_f1428266567t_bool: ( fun_fu1167626927t_bool * fun_Pr1013460023t_bool ) > fun_Pr1344020457t_bool ).

tff(func_def_652,type,
    hAPP_f1031370829l_bool: ( fun_fu194704949l_bool * fun_Pr1799779039t_bool ) > fun_fu2024104855l_bool ).

tff(func_def_653,type,
    hAPP_f1960201805l_bool: ( fun_fu1051681589l_bool * fun_Pr1143104751t_bool ) > fun_fu1649100199l_bool ).

tff(func_def_654,type,
    hAPP_f270961347l_bool: ( fun_fu1694084523l_bool * fun_Pr1472769671l_bool ) > fun_fu1464168373l_bool ).

tff(func_def_655,type,
    hAPP_f823377925l_bool: ( fun_fu1650235367l_bool * fun_Pr1846448037t_bool ) > fun_fu889345373l_bool ).

tff(func_def_656,type,
    hAPP_f498121449t_bool: ( fun_fu671378635t_bool * fun_Pr2138751219t_bool ) > fun_Pr2138751219t_bool ).

tff(func_def_657,type,
    hAPP_f675875329le_alt: ( fun_fu1435577955le_alt * fun_Pr286692619le_alt ) > fun_fu6778611le_alt ).

tff(func_def_658,type,
    hAPP_f462440141l_bool: ( fun_fu202949813l_bool * fun_Pr1165181697le_alt ) > fun_fu1196769721l_bool ).

tff(func_def_659,type,
    hAPP_f103239857l_bool: ( fun_fu1006735199l_bool * fun_Pr1415161449i_bool ) > bool ).

tff(func_def_660,type,
    hAPP_f263022001l_bool: ( fun_fu115111519l_bool * fun_Pr1922637673l_bool ) > bool ).

tff(func_def_661,type,
    hAPP_f1655666225l_bool: ( fun_fu451305183l_bool * fun_Pr1344020457t_bool ) > bool ).

tff(func_def_662,type,
    hAPP_f2109978289l_bool: ( fun_fu986210655l_bool * fun_Pr212690025l_bool ) > bool ).

tff(func_def_663,type,
    hAPP_f414270641l_bool: ( fun_fu184048479l_bool * fun_Pr1412844137l_bool ) > bool ).

tff(func_def_664,type,
    hAPP_f1843355029l_bool: ( fun_fu1837767491l_bool * fun_Pr100782925l_bool ) > bool ).

tff(func_def_665,type,
    hAPP_f220748081l_bool: ( fun_fu2069747679l_bool * fun_Pr1146580713t_bool ) > bool ).

tff(func_def_666,type,
    hAPP_f293321137l_bool: ( fun_fu1173513823l_bool * fun_Pr3550057t_bool ) > bool ).

tff(func_def_667,type,
    hAPP_f409297635l_bool: ( fun_fu2014033553l_bool * fun_Pr1660699547l_bool ) > bool ).

tff(func_def_668,type,
    hAPP_f560116835l_bool: ( fun_fu1134695883l_bool * fun_Pr1660699547l_bool ) > fun_Pr212690025l_bool ).

tff(func_def_669,type,
    hAPP_f1862698499l_bool: ( fun_fu749815217l_bool * fun_Pr119656123l_bool ) > bool ).

tff(func_def_670,type,
    hAPP_f1726370627l_bool: ( fun_fu959050411l_bool * fun_Pr119656123l_bool ) > fun_Pr1412844137l_bool ).

tff(func_def_671,type,
    hAPP_f820729201l_bool: ( fun_fu1054620703l_bool * fun_Pr811948841l_bool ) > bool ).

tff(func_def_672,type,
    hAPP_f976656953l_bool: ( fun_fu725984545l_bool * fun_Pr811948841l_bool ) > fun_Pr100782925l_bool ).

tff(func_def_673,type,
    hAPP_f1052511527l_bool: ( fun_fu1907438805l_bool * fun_Pr666765279t_bool ) > bool ).

tff(func_def_674,type,
    hAPP_f1826601375t_bool: ( fun_fu883932423t_bool * fun_Pr666765279t_bool ) > fun_Pr1146580713t_bool ).

tff(func_def_675,type,
    hAPP_f1791116867l_bool: ( fun_fu93166577l_bool * fun_Pr2049153787t_bool ) > bool ).

tff(func_def_676,type,
    hAPP_f1090350595t_bool: ( fun_fu1041472619t_bool * fun_Pr2049153787t_bool ) > fun_Pr3550057t_bool ).

tff(func_def_677,type,
    hAPP_P1117185332le_alt: ( fun_Pr1852695144le_alt * produc1840315303le_alt ) > arrow_931160158le_alt ).

tff(func_def_678,type,
    hAPP_P1031342399e_indi: ( fun_Pr1698894881e_indi * produc1840315303le_alt ) > arrow_2115524757e_indi ).

tff(func_def_679,type,
    hAPP_P166437127t_bool: ( fun_Pr1055212137t_bool * produc1840315303le_alt ) > bool ).

tff(func_def_680,type,
    hAPP_P1239753854t_bool: ( fun_Pr459606624t_bool * produc1840315303le_alt ) > fun_Ar1091019988t_bool ).

tff(func_def_681,type,
    hAPP_P1326783277i_bool: ( fun_Pr39488737i_bool * produc1840315303le_alt ) > fun_Ar552120407i_bool ).

tff(func_def_682,type,
    hAPP_P1830623733l_bool: ( fun_Pr359894313l_bool * produc1840315303le_alt ) > fun_bool_bool ).

tff(func_def_683,type,
    hAPP_P74814227le_alt: ( fun_Pr841565895le_alt * produc1840315303le_alt ) > fun_li1823148605le_alt ).

tff(func_def_684,type,
    hAPP_P840149257l_bool: ( fun_Pr1228236907l_bool * produc1840315303le_alt ) > fun_fu1015689055l_bool ).

tff(func_def_685,type,
    hAPP_P339234111t_bool: ( fun_Pr973555187t_bool * produc1840315303le_alt ) > fun_Pr1055212137t_bool ).

tff(func_def_686,type,
    hAPP_P1832869119le_alt: ( fun_Pr1174154163le_alt * produc1840315303le_alt ) > fun_Pr1360285225le_alt ).

tff(func_def_687,type,
    hAPP_P1279976973t_bool: ( fun_Pr1556001345t_bool * produc1840315303le_alt ) > fun_Pr1013460023t_bool ).

tff(func_def_688,type,
    hAPP_P791400223le_alt: ( fun_Pr1717845889le_alt * produc1840315303le_alt ) > produc662089077le_alt ).

tff(func_def_689,type,
    hAPP_P1318503111le_alt: ( fun_Pr1360285225le_alt * produc1840315303le_alt ) > produc1652795165le_alt ).

tff(func_def_690,type,
    hAPP_P1644193965l_bool: ( fun_Pr2051704463l_bool * produc790689273e_indi ) > fun_fu899631025l_bool ).

tff(func_def_691,type,
    hAPP_P738148045l_bool: ( fun_Pr292042671l_bool * produc373466377l_bool ) > fun_fu1710745281l_bool ).

tff(func_def_692,type,
    hAPP_P274047445t_bool: ( fun_Pr1013460023t_bool * produc662089077le_alt ) > bool ).

tff(func_def_693,type,
    hAPP_P273283069t_bool: ( fun_Pr1799779039t_bool * produc662089077le_alt ) > fun_Ar500372357t_bool ).

tff(func_def_694,type,
    hAPP_P59114565le_alt: ( fun_Pr283231225le_alt * produc662089077le_alt ) > fun_li1869461181le_alt ).

tff(func_def_695,type,
    hAPP_P725642959l_bool: ( fun_Pr966099075l_bool * produc662089077le_alt ) > fun_fu775006535l_bool ).

tff(func_def_696,type,
    hAPP_P164754189t_bool: ( fun_Pr1143104751t_bool * produc662089077le_alt ) > fun_fu1595299477t_bool ).

tff(func_def_697,type,
    hAPP_P469411807l_bool: ( fun_Pr388821651l_bool * produc662089077le_alt ) > fun_fu1138137687l_bool ).

tff(func_def_698,type,
    hAPP_P272697303l_bool: ( fun_Pr1671213113l_bool * produc662089077le_alt ) > fun_fu1015689055l_bool ).

tff(func_def_699,type,
    hAPP_P518621093l_bool: ( fun_Pr1472769671l_bool * produc662089077le_alt ) > fun_fu745710381l_bool ).

tff(func_def_700,type,
    hAPP_P385761265t_bool: ( fun_Pr1846448037t_bool * produc662089077le_alt ) > fun_Pr1055212137t_bool ).

tff(func_def_701,type,
    hAPP_P1710235071t_bool: ( fun_Pr2138751219t_bool * produc662089077le_alt ) > fun_Pr1013460023t_bool ).

tff(func_def_702,type,
    hAPP_P443881687le_alt: ( fun_Pr286692619le_alt * produc662089077le_alt ) > fun_Pr799129423le_alt ).

tff(func_def_703,type,
    hAPP_P850038171le_alt: ( fun_Pr975121871le_alt * produc662089077le_alt ) > fun_Pr1212253203le_alt ).

tff(func_def_704,type,
    hAPP_P1831053343le_alt: ( fun_Pr1165181697le_alt * produc662089077le_alt ) > produc1840315303le_alt ).

tff(func_def_705,type,
    hAPP_P1208706541le_alt: ( fun_Pr799129423le_alt * produc662089077le_alt ) > produc662089077le_alt ).

tff(func_def_706,type,
    hAPP_P1169232561le_alt: ( fun_Pr1212253203le_alt * produc662089077le_alt ) > produc572918329le_alt ).

tff(func_def_707,type,
    hAPP_P93441289l_bool: ( fun_Pr1565860459l_bool * produc645880743e_indi ) > fun_fu1006735199l_bool ).

tff(func_def_708,type,
    hAPP_P1870454025l_bool: ( fun_Pr852727147l_bool * produc1754317479t_bool ) > fun_fu115111519l_bool ).

tff(func_def_709,type,
    hAPP_P456721929l_bool: ( fun_Pr1497047659l_bool * produc1655778087le_alt ) > fun_fu451305183l_bool ).

tff(func_def_710,type,
    hAPP_P767196425l_bool: ( fun_Pr468477035l_bool * produc802500007t_bool ) > fun_fu986210655l_bool ).

tff(func_def_711,type,
    hAPP_P1176599817l_bool: ( fun_Pr1317140075l_bool * produc133965735t_bool ) > fun_fu184048479l_bool ).

tff(func_def_712,type,
    hAPP_P269910993l_bool: ( fun_Pr1780593075l_bool * produc1259318155t_bool ) > fun_fu1837767491l_bool ).

tff(func_def_713,type,
    hAPP_P1381588489l_bool: ( fun_Pr41046891l_bool * produc1424499751le_alt ) > fun_fu2069747679l_bool ).

tff(func_def_714,type,
    hAPP_P2065070345l_bool: ( fun_Pr652626795l_bool * produc718779047le_alt ) > fun_fu1173513823l_bool ).

tff(func_def_715,type,
    hAPP_P72218221l_bool: ( fun_Pr994915919l_bool * produc1905018073t_bool ) > fun_fu2014033553l_bool ).

tff(func_def_716,type,
    hAPP_P671450285l_bool: ( fun_Pr1451345551l_bool * produc230355961t_bool ) > fun_fu749815217l_bool ).

tff(func_def_717,type,
    hAPP_P463482505l_bool: ( fun_Pr739327979l_bool * produc23775335t_bool ) > fun_fu1054620703l_bool ).

tff(func_def_718,type,
    hAPP_P142038773l_bool: ( fun_Pr324469463l_bool * produc1652795165le_alt ) > fun_fu1907438805l_bool ).

tff(func_def_719,type,
    hAPP_P467663149l_bool: ( fun_Pr592802831l_bool * produc572918329le_alt ) > fun_fu93166577l_bool ).

tff(func_def_720,type,
    member540164529le_alt: fun_Ar370769269l_bool ).

tff(func_def_721,type,
    member590466050e_indi: fun_Ar1380772935l_bool ).

tff(func_def_722,type,
    member_bool: fun_bo492988759l_bool ).

tff(func_def_723,type,
    member631477888le_alt: fun_li1644014275l_bool ).

tff(func_def_724,type,
    member1816667497t_bool: fun_fu1606938133l_bool ).

tff(func_def_725,type,
    member1066226041t_bool: fun_fu844367925l_bool ).

tff(func_def_726,type,
    member1994455707t_bool: fun_fu421594869l_bool ).

tff(func_def_727,type,
    member542710667le_alt: fun_fu308010585l_bool ).

tff(func_def_728,type,
    member1188420050t_bool: fun_fu1591782325l_bool ).

tff(func_def_729,type,
    member291481314t_bool: fun_fu1816256693l_bool ).

tff(func_def_730,type,
    member1159072754t_bool: fun_fu1291054887l_bool ).

tff(func_def_731,type,
    member418553588le_alt: fun_fu1338365749l_bool ).

tff(func_def_732,type,
    member1283254298t_bool: fun_fu1395443509l_bool ).

tff(func_def_733,type,
    member1103019306t_bool: fun_fu752049205l_bool ).

tff(func_def_734,type,
    member818572202t_bool: fun_fu572324631l_bool ).

tff(func_def_735,type,
    member481633596le_alt: fun_fu1156700085l_bool ).

tff(func_def_736,type,
    member1164470647le_alt: fun_fu1959128625l_bool ).

tff(func_def_737,type,
    member1408848082e_indi: fun_fu1227713461l_bool ).

tff(func_def_738,type,
    member1791451290l_bool: fun_fu81176373l_bool ).

tff(func_def_739,type,
    member1801442306t_bool: fun_fu446267975l_bool ).

tff(func_def_740,type,
    member1997523634le_alt: fun_fu658052661l_bool ).

tff(func_def_741,type,
    member465949031le_alt: fun_fu2120515089l_bool ).

tff(func_def_742,type,
    member2095441122e_indi: fun_fu1739677877l_bool ).

tff(func_def_743,type,
    member213355690l_bool: fun_fu413400117l_bool ).

tff(func_def_744,type,
    member2126235330le_alt: fun_fu2092057397l_bool ).

tff(func_def_745,type,
    member925775173le_alt: fun_fu199169653l_bool ).

tff(func_def_746,type,
    member527726724e_indi: fun_fu1041166411l_bool ).

tff(func_def_747,type,
    member717964108l_bool: fun_fu830715227l_bool ).

tff(func_def_748,type,
    member955488100le_alt: fun_fu1925294731l_bool ).

tff(func_def_749,type,
    member1558558165le_alt: fun_fu1519476973l_bool ).

tff(func_def_750,type,
    member1747786740e_indi: fun_fu1286543157l_bool ).

tff(func_def_751,type,
    member57118396t_bool: fun_fu1556412341l_bool ).

tff(func_def_752,type,
    member879596244le_alt: fun_fu293053621l_bool ).

tff(func_def_753,type,
    member1126314290t_bool: fun_fu194704949l_bool ).

tff(func_def_754,type,
    member1385717314t_bool: fun_fu1051681589l_bool ).

tff(func_def_755,type,
    member564649106t_bool: fun_fu1650235367l_bool ).

tff(func_def_756,type,
    member326932052le_alt: fun_fu202949813l_bool ).

tff(func_def_757,type,
    member553230100le_alt: fun_Pr1228236907l_bool ).

tff(func_def_758,type,
    member938783462e_indi: fun_Pr2051704463l_bool ).

tff(func_def_759,type,
    member624253174l_bool: fun_Pr292042671l_bool ).

tff(func_def_760,type,
    member1475736930le_alt: fun_Pr1472769671l_bool ).

tff(func_def_761,type,
    member1920957716e_indi: fun_Pr1565860459l_bool ).

tff(func_def_762,type,
    member1058364180t_bool: fun_Pr852727147l_bool ).

tff(func_def_763,type,
    member302274452le_alt: fun_Pr1497047659l_bool ).

tff(func_def_764,type,
    member1166104852t_bool: fun_Pr468477035l_bool ).

tff(func_def_765,type,
    member2127060244t_bool: fun_Pr1317140075l_bool ).

tff(func_def_766,type,
    member294755704t_bool: fun_Pr1780593075l_bool ).

tff(func_def_767,type,
    member1552328084le_alt: fun_Pr41046891l_bool ).

tff(func_def_768,type,
    member1590082836le_alt: fun_Pr652626795l_bool ).

tff(func_def_769,type,
    member1904937926t_bool: fun_Pr994915919l_bool ).

tff(func_def_770,type,
    member710460646t_bool: fun_Pr1451345551l_bool ).

tff(func_def_771,type,
    member1092949460t_bool: fun_Pr739327979l_bool ).

tff(func_def_772,type,
    member92652554le_alt: fun_Pr324469463l_bool ).

tff(func_def_773,type,
    member1834889254le_alt: fun_Pr592802831l_bool ).

tff(func_def_774,type,
    f: fun_fu1595299477t_bool ).

tff(func_def_775,type,
    p_1: fun_Ar500372357t_bool ).

tff(func_def_776,type,
    p: fun_Ar500372357t_bool ).

tff(func_def_777,type,
    a: arrow_931160158le_alt ).

tff(func_def_778,type,
    b: arrow_931160158le_alt ).

tff(func_def_779,type,
    c: arrow_931160158le_alt ).

tff(func_def_780,type,
    sK6: arrow_931160158le_alt ).

tff(func_def_781,type,
    sK7: fun_Pr1013460023t_bool > list_A1748581779le_alt ).

tff(func_def_782,type,
    sK8: fun_Pr1013460023t_bool > list_A1748581779le_alt ).

tff(func_def_783,type,
    sK9: fun_Pr1013460023t_bool > produc662089077le_alt ).

tff(func_def_784,type,
    sK10: fun_Pr1055212137t_bool > arrow_931160158le_alt ).

tff(func_def_785,type,
    sK11: fun_Pr1055212137t_bool > arrow_931160158le_alt ).

tff(func_def_786,type,
    sK12: fun_Pr1055212137t_bool > produc1840315303le_alt ).

tff(func_def_787,type,
    sK13: ( fun_Ar500372357t_bool * fun_Ar500372357t_bool * arrow_931160158le_alt * arrow_931160158le_alt * arrow_931160158le_alt * arrow_931160158le_alt ) > arrow_2115524757e_indi ).

tff(func_def_788,type,
    sK14: ( fun_Ar500372357t_bool * fun_Ar500372357t_bool * arrow_931160158le_alt * arrow_931160158le_alt * arrow_931160158le_alt * arrow_931160158le_alt ) > arrow_2115524757e_indi ).

tff(func_def_789,type,
    sK15: ( arrow_931160158le_alt * arrow_931160158le_alt ) > arrow_931160158le_alt ).

tff(func_def_790,type,
    sK16: fun_fu1595299477t_bool > fun_Ar500372357t_bool ).

tff(func_def_791,type,
    sK17: fun_fu1595299477t_bool > fun_Ar500372357t_bool ).

tff(func_def_792,type,
    sK18: fun_fu1595299477t_bool > arrow_931160158le_alt ).

tff(func_def_793,type,
    sK19: fun_fu1595299477t_bool > arrow_931160158le_alt ).

tff(func_def_794,type,
    sK20: ( fun_Ar500372357t_bool * fun_Ar500372357t_bool * arrow_931160158le_alt * arrow_931160158le_alt ) > arrow_2115524757e_indi ).

tff(func_def_795,type,
    sK21: fun_fu1595299477t_bool > fun_Ar500372357t_bool ).

tff(func_def_796,type,
    sK22: fun_fu1595299477t_bool > arrow_931160158le_alt ).

tff(func_def_797,type,
    sK23: fun_fu1595299477t_bool > arrow_931160158le_alt ).

tff(func_def_798,type,
    sK24: ( fun_Ar500372357t_bool * arrow_931160158le_alt * arrow_931160158le_alt ) > arrow_2115524757e_indi ).

tff(func_def_799,type,
    sK25: ( arrow_931160158le_alt * arrow_931160158le_alt ) > fun_Pr1055212137t_bool ).

tff(func_def_800,type,
    sK26: arrow_931160158le_alt ).

tff(func_def_801,type,
    sK27: arrow_931160158le_alt ).

tff(func_def_802,type,
    sK28: arrow_931160158le_alt ).

tff(func_def_803,type,
    sK29: fun_Pr1055212137t_bool ).

tff(func_def_804,type,
    sK30: ( arrow_2115524757e_indi * fun_fu1595299477t_bool ) > fun_Ar500372357t_bool ).

tff(func_def_805,type,
    sK31: ( arrow_2115524757e_indi * fun_fu1595299477t_bool ) > arrow_931160158le_alt ).

tff(func_def_806,type,
    sK32: ( arrow_2115524757e_indi * fun_fu1595299477t_bool ) > arrow_931160158le_alt ).

tff(func_def_807,type,
    sK33: list_A1748581779le_alt > arrow_931160158le_alt ).

tff(func_def_808,type,
    sK34: list_A1748581779le_alt > list_A1748581779le_alt ).

tff(func_def_809,type,
    sK35: list_A1748581779le_alt > arrow_931160158le_alt ).

tff(func_def_810,type,
    sK36: list_A1748581779le_alt > list_A1748581779le_alt ).

tff(func_def_811,type,
    sK37: ( fun_fu1595299477t_bool * arrow_2115524757e_indi ) > fun_Ar500372357t_bool ).

tff(func_def_812,type,
    sK38: ( fun_Pr1852695144le_alt * fun_Pr459606624t_bool * fun_Pr1055212137t_bool ) > produc1840315303le_alt ).

tff(func_def_813,type,
    sK39: ( fun_Pr1698894881e_indi * fun_Pr39488737i_bool * fun_Pr1055212137t_bool ) > produc1840315303le_alt ).

tff(func_def_814,type,
    sK40: ( fun_Pr1717845889le_alt * fun_Pr1556001345t_bool * fun_Pr1055212137t_bool ) > produc1840315303le_alt ).

tff(func_def_815,type,
    sK41: ( fun_fu1917206794le_alt * fun_fu1678217534t_bool * fun_fu775006535l_bool ) > fun_Ar500372357t_bool ).

tff(func_def_816,type,
    sK42: ( fun_fu908353023e_indi * fun_fu1765260675i_bool * fun_fu775006535l_bool ) > fun_Ar500372357t_bool ).

tff(func_def_817,type,
    sK43: ( fun_fu523504735le_alt * fun_fu2027003875t_bool * fun_fu775006535l_bool ) > fun_Ar500372357t_bool ).

tff(func_def_818,type,
    sK44: ( fun_fu775006535l_bool * fun_fu1471766731l_bool * fun_fu775006535l_bool ) > fun_Ar500372357t_bool ).

tff(func_def_819,type,
    sK45: ( fun_fu207034610le_alt * fun_fu1540265814t_bool * fun_fu1015689055l_bool ) > fun_Pr1055212137t_bool ).

tff(func_def_820,type,
    sK46: ( fun_fu2016509975e_indi * fun_fu1766473067i_bool * fun_fu1015689055l_bool ) > fun_Pr1055212137t_bool ).

tff(func_def_821,type,
    sK47: ( fun_fu89803383le_alt * fun_fu1275593675t_bool * fun_fu1015689055l_bool ) > fun_Pr1055212137t_bool ).

tff(func_def_822,type,
    sK48: ( fun_fu1015689055l_bool * fun_fu44268723l_bool * fun_fu1015689055l_bool ) > fun_Pr1055212137t_bool ).

tff(func_def_823,type,
    sK49: ( fun_fu367862778le_alt * fun_fu1551598158t_bool * fun_fu1138137687l_bool ) > fun_fu1595299477t_bool ).

tff(func_def_824,type,
    sK50: ( fun_fu1596339983e_indi * fun_fu2127564915i_bool * fun_fu1138137687l_bool ) > fun_fu1595299477t_bool ).

tff(func_def_825,type,
    sK51: ( fun_fu1883622767le_alt * fun_fu2016938707t_bool * fun_fu1138137687l_bool ) > fun_fu1595299477t_bool ).

tff(func_def_826,type,
    sK52: ( fun_fu1138137687l_bool * fun_fu1460706235l_bool * fun_fu1138137687l_bool ) > fun_fu1595299477t_bool ).

tff(func_def_827,type,
    sK53: ( fun_Ar836847646le_alt * fun_Ar1275715144t_bool * fun_Ar1091019988t_bool ) > arrow_931160158le_alt ).

tff(func_def_828,type,
    sK54: ( fun_Ar369661729le_alt * fun_Ar500372357t_bool * fun_Ar552120407i_bool ) > arrow_2115524757e_indi ).

tff(func_def_829,type,
    sK55: ( fun_Pr1165181697le_alt * fun_Pr1846448037t_bool * fun_Pr1013460023t_bool ) > produc662089077le_alt ).

tff(func_def_830,type,
    sK56: ( fun_bo1479727337le_alt * fun_bo1116297149t_bool * fun_bool_bool ) > bool ).

tff(func_def_831,type,
    sK57: ( fun_Ar421919996t_bool * fun_Ar1236339238l_bool * fun_Ar1091019988t_bool ) > arrow_931160158le_alt ).

tff(func_def_832,type,
    sK58: ( fun_Ar687924991t_bool * fun_Ar684516451l_bool * fun_Ar552120407i_bool ) > arrow_2115524757e_indi ).

tff(func_def_833,type,
    sK59: ( fun_Pr1799779039t_bool * fun_Pr966099075l_bool * fun_Pr1013460023t_bool ) > produc662089077le_alt ).

tff(func_def_834,type,
    sK60: ( fun_bo266809543t_bool * fun_bo645734555l_bool * fun_bool_bool ) > bool ).

tff(func_def_835,type,
    sK61: ( fun_Ar1275715144t_bool * fun_Ar1026121174l_bool * fun_Ar1091019988t_bool ) > arrow_931160158le_alt ).

tff(func_def_836,type,
    sK62: ( fun_Pr1846448037t_bool * fun_Pr1671213113l_bool * fun_Pr1013460023t_bool ) > produc662089077le_alt ).

tff(func_def_837,type,
    sK63: ( fun_bo1116297149t_bool * fun_bo96602657l_bool * fun_bool_bool ) > bool ).

tff(func_def_838,type,
    sK64: ( fun_Ar968139788t_bool * fun_Ar1311475510l_bool * fun_Ar1091019988t_bool ) > arrow_931160158le_alt ).

tff(func_def_839,type,
    sK65: ( fun_Ar1939863823t_bool * fun_Ar1270429299l_bool * fun_Ar552120407i_bool ) > arrow_2115524757e_indi ).

tff(func_def_840,type,
    sK66: ( fun_Pr1143104751t_bool * fun_Pr388821651l_bool * fun_Pr1013460023t_bool ) > produc662089077le_alt ).

tff(func_def_841,type,
    sK67: ( fun_bo2027801303t_bool * fun_bo979888811l_bool * fun_bool_bool ) > bool ).

tff(func_def_842,type,
    sK68: ( fun_Pr1055212137t_bool * fun_Pr359894313l_bool * fun_Pr1055212137t_bool ) > produc1840315303le_alt ).

tff(func_def_843,type,
    sK69: ( fun_fu1595299477t_bool * fun_fu787660105l_bool * fun_fu775006535l_bool ) > fun_Ar500372357t_bool ).

tff(func_def_844,type,
    sK70: ( fun_Ar500372357t_bool * fun_Ar1198543961l_bool * fun_Ar552120407i_bool ) > arrow_2115524757e_indi ).

tff(func_def_845,type,
    sK71: ( fun_Pr1852695144le_alt * fun_Ar1091019988t_bool * fun_Pr1055212137t_bool ) > produc1840315303le_alt ).

tff(func_def_846,type,
    sK72: ( fun_Pr1698894881e_indi * fun_Ar552120407i_bool * fun_Pr1055212137t_bool ) > produc1840315303le_alt ).

tff(func_def_847,type,
    sK73: ( fun_Pr1717845889le_alt * fun_Pr1013460023t_bool * fun_Pr1055212137t_bool ) > produc1840315303le_alt ).

tff(func_def_848,type,
    sK74: ( fun_fu1917206794le_alt * fun_Ar1091019988t_bool * fun_fu775006535l_bool ) > fun_Ar500372357t_bool ).

tff(func_def_849,type,
    sK75: ( fun_fu908353023e_indi * fun_Ar552120407i_bool * fun_fu775006535l_bool ) > fun_Ar500372357t_bool ).

tff(func_def_850,type,
    sK76: ( fun_fu523504735le_alt * fun_Pr1013460023t_bool * fun_fu775006535l_bool ) > fun_Ar500372357t_bool ).

tff(func_def_851,type,
    sK77: ( fun_fu775006535l_bool * fun_bool_bool * fun_fu775006535l_bool ) > fun_Ar500372357t_bool ).

tff(func_def_852,type,
    sK78: ( fun_fu207034610le_alt * fun_Ar1091019988t_bool * fun_fu1015689055l_bool ) > fun_Pr1055212137t_bool ).

tff(func_def_853,type,
    sK79: ( fun_fu2016509975e_indi * fun_Ar552120407i_bool * fun_fu1015689055l_bool ) > fun_Pr1055212137t_bool ).

tff(func_def_854,type,
    sK80: ( fun_fu89803383le_alt * fun_Pr1013460023t_bool * fun_fu1015689055l_bool ) > fun_Pr1055212137t_bool ).

tff(func_def_855,type,
    sK81: ( fun_fu1015689055l_bool * fun_bool_bool * fun_fu1015689055l_bool ) > fun_Pr1055212137t_bool ).

tff(func_def_856,type,
    sK82: ( fun_fu367862778le_alt * fun_Ar1091019988t_bool * fun_fu1138137687l_bool ) > fun_fu1595299477t_bool ).

tff(func_def_857,type,
    sK83: ( fun_fu1596339983e_indi * fun_Ar552120407i_bool * fun_fu1138137687l_bool ) > fun_fu1595299477t_bool ).

tff(func_def_858,type,
    sK84: ( fun_fu1883622767le_alt * fun_Pr1013460023t_bool * fun_fu1138137687l_bool ) > fun_fu1595299477t_bool ).

tff(func_def_859,type,
    sK85: ( fun_fu1138137687l_bool * fun_bool_bool * fun_fu1138137687l_bool ) > fun_fu1595299477t_bool ).

tff(func_def_860,type,
    sK86: ( fun_Ar836847646le_alt * fun_Pr1055212137t_bool * fun_Ar1091019988t_bool ) > arrow_931160158le_alt ).

tff(func_def_861,type,
    sK87: ( fun_Ar369661729le_alt * fun_Pr1055212137t_bool * fun_Ar552120407i_bool ) > arrow_2115524757e_indi ).

tff(func_def_862,type,
    sK88: ( fun_Pr1165181697le_alt * fun_Pr1055212137t_bool * fun_Pr1013460023t_bool ) > produc662089077le_alt ).

tff(func_def_863,type,
    sK89: ( fun_bo1479727337le_alt * fun_Pr1055212137t_bool * fun_bool_bool ) > bool ).

tff(func_def_864,type,
    sK90: ( fun_Ar421919996t_bool * fun_fu775006535l_bool * fun_Ar1091019988t_bool ) > arrow_931160158le_alt ).

tff(func_def_865,type,
    sK91: ( fun_Ar687924991t_bool * fun_fu775006535l_bool * fun_Ar552120407i_bool ) > arrow_2115524757e_indi ).

tff(func_def_866,type,
    sK92: ( fun_Pr1799779039t_bool * fun_fu775006535l_bool * fun_Pr1013460023t_bool ) > produc662089077le_alt ).

tff(func_def_867,type,
    sK93: ( fun_bo266809543t_bool * fun_fu775006535l_bool * fun_bool_bool ) > bool ).

tff(func_def_868,type,
    sK94: ( fun_Ar1275715144t_bool * fun_fu1015689055l_bool * fun_Ar1091019988t_bool ) > arrow_931160158le_alt ).

tff(func_def_869,type,
    sK95: ( fun_Pr1846448037t_bool * fun_fu1015689055l_bool * fun_Pr1013460023t_bool ) > produc662089077le_alt ).

tff(func_def_870,type,
    sK96: ( fun_bo1116297149t_bool * fun_fu1015689055l_bool * fun_bool_bool ) > bool ).

tff(func_def_871,type,
    sK97: ( fun_Ar968139788t_bool * fun_fu1138137687l_bool * fun_Ar1091019988t_bool ) > arrow_931160158le_alt ).

tff(func_def_872,type,
    sK98: ( fun_Ar1939863823t_bool * fun_fu1138137687l_bool * fun_Ar552120407i_bool ) > arrow_2115524757e_indi ).

tff(func_def_873,type,
    sK99: ( fun_Pr1143104751t_bool * fun_fu1138137687l_bool * fun_Pr1013460023t_bool ) > produc662089077le_alt ).

tff(func_def_874,type,
    sK100: ( fun_bo2027801303t_bool * fun_fu1138137687l_bool * fun_bool_bool ) > bool ).

tff(func_def_875,type,
    sK101: ( fun_Pr1055212137t_bool * fun_bool_bool * fun_Pr1055212137t_bool ) > produc1840315303le_alt ).

tff(func_def_876,type,
    sK102: ( fun_fu1595299477t_bool * fun_fu1015689055l_bool * fun_fu775006535l_bool ) > fun_Ar500372357t_bool ).

tff(func_def_877,type,
    sK103: ( fun_Ar500372357t_bool * fun_fu1015689055l_bool * fun_Ar552120407i_bool ) > arrow_2115524757e_indi ).

tff(func_def_878,type,
    sK104: ( fun_Pr1852695144le_alt * fun_Pr459606624t_bool * fun_Pr1055212137t_bool ) > produc1840315303le_alt ).

tff(func_def_879,type,
    sK105: ( fun_Pr1698894881e_indi * fun_Pr39488737i_bool * fun_Pr1055212137t_bool ) > produc1840315303le_alt ).

tff(func_def_880,type,
    sK106: ( fun_Pr1717845889le_alt * fun_Pr1556001345t_bool * fun_Pr1055212137t_bool ) > produc1840315303le_alt ).

tff(func_def_881,type,
    sK107: ( fun_fu1917206794le_alt * fun_fu1678217534t_bool * fun_fu775006535l_bool ) > fun_Ar500372357t_bool ).

tff(func_def_882,type,
    sK108: ( fun_fu908353023e_indi * fun_fu1765260675i_bool * fun_fu775006535l_bool ) > fun_Ar500372357t_bool ).

tff(func_def_883,type,
    sK109: ( fun_fu523504735le_alt * fun_fu2027003875t_bool * fun_fu775006535l_bool ) > fun_Ar500372357t_bool ).

tff(func_def_884,type,
    sK110: ( fun_fu775006535l_bool * fun_fu1471766731l_bool * fun_fu775006535l_bool ) > fun_Ar500372357t_bool ).

tff(func_def_885,type,
    sK111: ( fun_fu207034610le_alt * fun_fu1540265814t_bool * fun_fu1015689055l_bool ) > fun_Pr1055212137t_bool ).

tff(func_def_886,type,
    sK112: ( fun_fu2016509975e_indi * fun_fu1766473067i_bool * fun_fu1015689055l_bool ) > fun_Pr1055212137t_bool ).

tff(func_def_887,type,
    sK113: ( fun_fu89803383le_alt * fun_fu1275593675t_bool * fun_fu1015689055l_bool ) > fun_Pr1055212137t_bool ).

tff(func_def_888,type,
    sK114: ( fun_fu1015689055l_bool * fun_fu44268723l_bool * fun_fu1015689055l_bool ) > fun_Pr1055212137t_bool ).

tff(func_def_889,type,
    sK115: ( fun_fu367862778le_alt * fun_fu1551598158t_bool * fun_fu1138137687l_bool ) > fun_fu1595299477t_bool ).

tff(func_def_890,type,
    sK116: ( fun_fu1596339983e_indi * fun_fu2127564915i_bool * fun_fu1138137687l_bool ) > fun_fu1595299477t_bool ).

tff(func_def_891,type,
    sK117: ( fun_fu1883622767le_alt * fun_fu2016938707t_bool * fun_fu1138137687l_bool ) > fun_fu1595299477t_bool ).

tff(func_def_892,type,
    sK118: ( fun_fu1138137687l_bool * fun_fu1460706235l_bool * fun_fu1138137687l_bool ) > fun_fu1595299477t_bool ).

tff(func_def_893,type,
    sK119: ( fun_Ar836847646le_alt * fun_Ar1275715144t_bool * fun_Ar1091019988t_bool ) > arrow_931160158le_alt ).

tff(func_def_894,type,
    sK120: ( fun_Ar369661729le_alt * fun_Ar500372357t_bool * fun_Ar552120407i_bool ) > arrow_2115524757e_indi ).

tff(func_def_895,type,
    sK121: ( fun_Pr1165181697le_alt * fun_Pr1846448037t_bool * fun_Pr1013460023t_bool ) > produc662089077le_alt ).

tff(func_def_896,type,
    sK122: ( fun_bo1479727337le_alt * fun_bo1116297149t_bool * fun_bool_bool ) > bool ).

tff(func_def_897,type,
    sK123: ( fun_Ar421919996t_bool * fun_Ar1236339238l_bool * fun_Ar1091019988t_bool ) > arrow_931160158le_alt ).

tff(func_def_898,type,
    sK124: ( fun_Ar687924991t_bool * fun_Ar684516451l_bool * fun_Ar552120407i_bool ) > arrow_2115524757e_indi ).

tff(func_def_899,type,
    sK125: ( fun_Pr1799779039t_bool * fun_Pr966099075l_bool * fun_Pr1013460023t_bool ) > produc662089077le_alt ).

tff(func_def_900,type,
    sK126: ( fun_bo266809543t_bool * fun_bo645734555l_bool * fun_bool_bool ) > bool ).

tff(func_def_901,type,
    sK127: ( fun_Ar1275715144t_bool * fun_Ar1026121174l_bool * fun_Ar1091019988t_bool ) > arrow_931160158le_alt ).

tff(func_def_902,type,
    sK128: ( fun_Pr1846448037t_bool * fun_Pr1671213113l_bool * fun_Pr1013460023t_bool ) > produc662089077le_alt ).

tff(func_def_903,type,
    sK129: ( fun_bo1116297149t_bool * fun_bo96602657l_bool * fun_bool_bool ) > bool ).

tff(func_def_904,type,
    sK130: ( fun_Ar968139788t_bool * fun_Ar1311475510l_bool * fun_Ar1091019988t_bool ) > arrow_931160158le_alt ).

tff(func_def_905,type,
    sK131: ( fun_Ar1939863823t_bool * fun_Ar1270429299l_bool * fun_Ar552120407i_bool ) > arrow_2115524757e_indi ).

tff(func_def_906,type,
    sK132: ( fun_Pr1143104751t_bool * fun_Pr388821651l_bool * fun_Pr1013460023t_bool ) > produc662089077le_alt ).

tff(func_def_907,type,
    sK133: ( fun_bo2027801303t_bool * fun_bo979888811l_bool * fun_bool_bool ) > bool ).

tff(func_def_908,type,
    sK134: ( fun_Pr1055212137t_bool * fun_Pr359894313l_bool * fun_Pr1055212137t_bool ) > produc1840315303le_alt ).

tff(func_def_909,type,
    sK135: ( fun_fu1595299477t_bool * fun_fu787660105l_bool * fun_fu775006535l_bool ) > fun_Ar500372357t_bool ).

tff(func_def_910,type,
    sK136: ( fun_Ar500372357t_bool * fun_Ar1198543961l_bool * fun_Ar552120407i_bool ) > arrow_2115524757e_indi ).

tff(func_def_911,type,
    sK137: ( fun_Pr1055212137t_bool * fun_Pr1055212137t_bool * fun_Pr1055212137t_bool ) > produc1840315303le_alt ).

tff(func_def_912,type,
    sK138: ( fun_fu1595299477t_bool * fun_fu1595299477t_bool * fun_fu775006535l_bool ) > fun_Ar500372357t_bool ).

tff(func_def_913,type,
    sK139: ( fun_Ar500372357t_bool * fun_Ar500372357t_bool * fun_Ar552120407i_bool ) > arrow_2115524757e_indi ).

tff(func_def_914,type,
    sK140: ( fun_Pr1013460023t_bool * fun_Pr1013460023t_bool ) > list_A1748581779le_alt ).

tff(func_def_915,type,
    sK141: ( fun_Pr1013460023t_bool * fun_Pr1013460023t_bool ) > list_A1748581779le_alt ).

tff(func_def_916,type,
    sK142: ( fun_Pr1055212137t_bool * fun_Pr1055212137t_bool ) > arrow_931160158le_alt ).

tff(func_def_917,type,
    sK143: ( fun_Pr1055212137t_bool * fun_Pr1055212137t_bool ) > arrow_931160158le_alt ).

tff(func_def_918,type,
    sK144: produc662089077le_alt > list_A1748581779le_alt ).

tff(func_def_919,type,
    sK145: produc662089077le_alt > list_A1748581779le_alt ).

tff(func_def_920,type,
    sK146: produc1840315303le_alt > arrow_931160158le_alt ).

tff(func_def_921,type,
    sK147: produc1840315303le_alt > arrow_931160158le_alt ).

tff(func_def_922,type,
    sK148: produc662089077le_alt > list_A1748581779le_alt ).

tff(func_def_923,type,
    sK149: produc662089077le_alt > list_A1748581779le_alt ).

tff(func_def_924,type,
    sK150: produc1840315303le_alt > arrow_931160158le_alt ).

tff(func_def_925,type,
    sK151: produc1840315303le_alt > arrow_931160158le_alt ).

tff(func_def_926,type,
    sK152: fun_Pr1013460023t_bool > produc662089077le_alt ).

tff(func_def_927,type,
    sK153: fun_Pr1013460023t_bool > list_A1748581779le_alt ).

tff(func_def_928,type,
    sK154: fun_Pr1013460023t_bool > list_A1748581779le_alt ).

tff(func_def_929,type,
    sK155: fun_Pr1055212137t_bool > produc1840315303le_alt ).

tff(func_def_930,type,
    sK156: fun_Pr1055212137t_bool > arrow_931160158le_alt ).

tff(func_def_931,type,
    sK157: fun_Pr1055212137t_bool > arrow_931160158le_alt ).

tff(func_def_932,type,
    sK158: fun_li1323594581t_bool > arrow_931160158le_alt ).

tff(func_def_933,type,
    sK159: fun_li1323594581t_bool > list_A1748581779le_alt ).

tff(func_def_934,type,
    sK160: fun_li1323594581t_bool > arrow_931160158le_alt ).

tff(func_def_935,type,
    sK161: list_A1748581779le_alt > arrow_931160158le_alt ).

tff(func_def_936,type,
    sK162: list_A1748581779le_alt > list_A1748581779le_alt ).

tff(func_def_937,type,
    sK163: fun_Pr1013460023t_bool > list_A1748581779le_alt ).

tff(func_def_938,type,
    sK164: fun_Pr1055212137t_bool > arrow_931160158le_alt ).

tff(func_def_939,type,
    sK165: fun_Pr1013460023t_bool > list_A1748581779le_alt ).

tff(func_def_940,type,
    sK166: fun_Pr1013460023t_bool > list_A1748581779le_alt ).

tff(func_def_941,type,
    sK167: fun_Pr1055212137t_bool > arrow_931160158le_alt ).

tff(func_def_942,type,
    sK168: fun_Pr1055212137t_bool > arrow_931160158le_alt ).

tff(func_def_943,type,
    sK169: fun_Pr1013460023t_bool > produc662089077le_alt ).

tff(func_def_944,type,
    sK170: fun_bool_bool > bool ).

tff(func_def_945,type,
    sK171: fun_Ar552120407i_bool > arrow_2115524757e_indi ).

tff(func_def_946,type,
    sK172: fun_Ar1091019988t_bool > arrow_931160158le_alt ).

tff(func_def_947,type,
    sK173: fun_Pr1055212137t_bool > produc1840315303le_alt ).

tff(func_def_948,type,
    sK174: fun_fu775006535l_bool > fun_Ar500372357t_bool ).

tff(func_def_949,type,
    sK175: fun_fu1015689055l_bool > fun_Pr1055212137t_bool ).

tff(func_def_950,type,
    sK176: fun_fu1138137687l_bool > fun_fu1595299477t_bool ).

tff(func_def_951,type,
    sK177: produc662089077le_alt ).

tff(func_def_952,type,
    sK178: bool ).

tff(func_def_953,type,
    sK179: arrow_2115524757e_indi ).

tff(func_def_954,type,
    sK180: arrow_931160158le_alt ).

tff(func_def_955,type,
    sK181: produc1840315303le_alt ).

tff(func_def_956,type,
    sK182: fun_Ar500372357t_bool ).

tff(func_def_957,type,
    sK183: fun_Pr1055212137t_bool ).

tff(func_def_958,type,
    sK184: fun_fu1595299477t_bool ).

tff(func_def_959,type,
    sK185: ( list_A1748581779le_alt * list_A1748581779le_alt * list_A1748581779le_alt * list_A1748581779le_alt ) > list_A1748581779le_alt ).

tff(func_def_960,type,
    sK186: ( list_A1748581779le_alt * list_A1748581779le_alt * arrow_931160158le_alt * list_A1748581779le_alt ) > list_A1748581779le_alt ).

tff(func_def_961,type,
    sK187: ( arrow_931160158le_alt * list_A1748581779le_alt * list_A1748581779le_alt * list_A1748581779le_alt ) > list_A1748581779le_alt ).

tff(func_def_962,type,
    sK188: fun_Pr1013460023t_bool > list_A1748581779le_alt ).

tff(func_def_963,type,
    sK189: fun_Pr1055212137t_bool > arrow_931160158le_alt ).

tff(func_def_964,type,
    sK190: fun_li1323594581t_bool > arrow_931160158le_alt ).

tff(func_def_965,type,
    sK191: fun_li1323594581t_bool > list_A1748581779le_alt ).

tff(func_def_966,type,
    sK192: list_A1748581779le_alt > list_A1748581779le_alt ).

tff(func_def_967,type,
    sK193: list_A1748581779le_alt > arrow_931160158le_alt ).

tff(func_def_968,type,
    sK194: ( list_l1735481012le_alt * list_l1735481012le_alt * fun_Pr1013460023t_bool ) > list_A1748581779le_alt ).

tff(func_def_969,type,
    sK195: ( list_l1735481012le_alt * list_l1735481012le_alt * fun_Pr1013460023t_bool ) > list_A1748581779le_alt ).

tff(func_def_970,type,
    sK196: ( list_l1735481012le_alt * list_l1735481012le_alt * fun_Pr1013460023t_bool ) > list_l1735481012le_alt ).

tff(func_def_971,type,
    sK197: ( list_l1735481012le_alt * list_l1735481012le_alt * fun_Pr1013460023t_bool ) > list_l1735481012le_alt ).

tff(func_def_972,type,
    sK198: ( list_A1748581779le_alt * list_A1748581779le_alt * fun_Pr1055212137t_bool ) > arrow_931160158le_alt ).

tff(func_def_973,type,
    sK199: ( list_A1748581779le_alt * list_A1748581779le_alt * fun_Pr1055212137t_bool ) > arrow_931160158le_alt ).

tff(func_def_974,type,
    sK200: ( list_A1748581779le_alt * list_A1748581779le_alt * fun_Pr1055212137t_bool ) > list_A1748581779le_alt ).

tff(func_def_975,type,
    sK201: ( list_A1748581779le_alt * list_A1748581779le_alt * fun_Pr1055212137t_bool ) > list_A1748581779le_alt ).

tff(func_def_976,type,
    sK202: ( list_A1748581779le_alt * list_l1735481012le_alt * list_l1735481012le_alt * fun_Pr1013460023t_bool ) > list_l1735481012le_alt ).

tff(func_def_977,type,
    sK203: ( list_A1748581779le_alt * list_l1735481012le_alt * list_l1735481012le_alt * fun_Pr1013460023t_bool ) > list_A1748581779le_alt ).

tff(func_def_978,type,
    sK204: ( arrow_931160158le_alt * list_A1748581779le_alt * list_A1748581779le_alt * fun_Pr1055212137t_bool ) > list_A1748581779le_alt ).

tff(func_def_979,type,
    sK205: ( arrow_931160158le_alt * list_A1748581779le_alt * list_A1748581779le_alt * fun_Pr1055212137t_bool ) > arrow_931160158le_alt ).

tff(func_def_980,type,
    sK206: ( list_l1735481012le_alt * list_A1748581779le_alt * list_l1735481012le_alt * fun_Pr1013460023t_bool ) > list_l1735481012le_alt ).

tff(func_def_981,type,
    sK207: ( list_l1735481012le_alt * list_A1748581779le_alt * list_l1735481012le_alt * fun_Pr1013460023t_bool ) > list_A1748581779le_alt ).

tff(func_def_982,type,
    sK208: ( list_A1748581779le_alt * arrow_931160158le_alt * list_A1748581779le_alt * fun_Pr1055212137t_bool ) > list_A1748581779le_alt ).

tff(func_def_983,type,
    sK209: ( list_A1748581779le_alt * arrow_931160158le_alt * list_A1748581779le_alt * fun_Pr1055212137t_bool ) > arrow_931160158le_alt ).

tff(func_def_984,type,
    sK210: ( fun_li954148211t_bool * produc662089077le_alt ) > list_A1748581779le_alt ).

tff(func_def_985,type,
    sK211: ( fun_li954148211t_bool * produc662089077le_alt ) > list_A1748581779le_alt ).

tff(func_def_986,type,
    sK212: ( fun_Ar1414184139t_bool * produc1840315303le_alt ) > arrow_931160158le_alt ).

tff(func_def_987,type,
    sK213: ( fun_Ar1414184139t_bool * produc1840315303le_alt ) > arrow_931160158le_alt ).

tff(func_def_988,type,
    sK214: ( fun_li954148211t_bool * produc662089077le_alt ) > list_A1748581779le_alt ).

tff(func_def_989,type,
    sK215: ( fun_li954148211t_bool * produc662089077le_alt ) > list_A1748581779le_alt ).

tff(func_def_990,type,
    sK216: ( fun_Ar1414184139t_bool * produc1840315303le_alt ) > arrow_931160158le_alt ).

tff(func_def_991,type,
    sK217: ( fun_Ar1414184139t_bool * produc1840315303le_alt ) > arrow_931160158le_alt ).

tff(func_def_992,type,
    sK218: list_A1748581779le_alt > list_A1748581779le_alt ).

tff(func_def_993,type,
    sK219: list_A1748581779le_alt > list_A1748581779le_alt ).

tff(func_def_994,type,
    sK220: list_A1748581779le_alt > list_A1748581779le_alt ).

tff(func_def_995,type,
    sK221: list_A1748581779le_alt > arrow_931160158le_alt ).

tff(func_def_996,type,
    sK222: ( list_l1735481012le_alt * list_A1748581779le_alt * list_l1735481012le_alt * fun_Pr1013460023t_bool ) > list_A1748581779le_alt ).

tff(func_def_997,type,
    sK223: ( list_l1735481012le_alt * list_A1748581779le_alt * list_l1735481012le_alt * fun_Pr1013460023t_bool ) > list_l1735481012le_alt ).

tff(func_def_998,type,
    sK224: ( list_A1748581779le_alt * arrow_931160158le_alt * list_A1748581779le_alt * fun_Pr1055212137t_bool ) > arrow_931160158le_alt ).

tff(func_def_999,type,
    sK225: ( list_A1748581779le_alt * arrow_931160158le_alt * list_A1748581779le_alt * fun_Pr1055212137t_bool ) > list_A1748581779le_alt ).

tff(func_def_1000,type,
    sK226: ( list_A1748581779le_alt * list_l1735481012le_alt * list_l1735481012le_alt * fun_Pr1013460023t_bool ) > list_A1748581779le_alt ).

tff(func_def_1001,type,
    sK227: ( list_A1748581779le_alt * list_l1735481012le_alt * list_l1735481012le_alt * fun_Pr1013460023t_bool ) > list_l1735481012le_alt ).

tff(func_def_1002,type,
    sK228: ( arrow_931160158le_alt * list_A1748581779le_alt * list_A1748581779le_alt * fun_Pr1055212137t_bool ) > arrow_931160158le_alt ).

tff(func_def_1003,type,
    sK229: ( arrow_931160158le_alt * list_A1748581779le_alt * list_A1748581779le_alt * fun_Pr1055212137t_bool ) > list_A1748581779le_alt ).

tff(func_def_1004,type,
    sK230: ( list_l1735481012le_alt * list_l1735481012le_alt * fun_Pr1013460023t_bool ) > list_A1748581779le_alt ).

tff(func_def_1005,type,
    sK231: ( list_l1735481012le_alt * list_l1735481012le_alt * fun_Pr1013460023t_bool ) > list_A1748581779le_alt ).

tff(func_def_1006,type,
    sK232: ( list_l1735481012le_alt * list_l1735481012le_alt * fun_Pr1013460023t_bool ) > list_l1735481012le_alt ).

tff(func_def_1007,type,
    sK233: ( list_l1735481012le_alt * list_l1735481012le_alt * fun_Pr1013460023t_bool ) > list_l1735481012le_alt ).

tff(func_def_1008,type,
    sK234: ( list_A1748581779le_alt * list_A1748581779le_alt * fun_Pr1055212137t_bool ) > arrow_931160158le_alt ).

tff(func_def_1009,type,
    sK235: ( list_A1748581779le_alt * list_A1748581779le_alt * fun_Pr1055212137t_bool ) > arrow_931160158le_alt ).

tff(func_def_1010,type,
    sK236: ( list_A1748581779le_alt * list_A1748581779le_alt * fun_Pr1055212137t_bool ) > list_A1748581779le_alt ).

tff(func_def_1011,type,
    sK237: ( list_A1748581779le_alt * list_A1748581779le_alt * fun_Pr1055212137t_bool ) > list_A1748581779le_alt ).

tff(func_def_1012,type,
    sK238: ( list_A1748581779le_alt * list_A1748581779le_alt * fun_Ar1414184139t_bool ) > arrow_931160158le_alt ).

tff(func_def_1013,type,
    sK239: ( list_A1748581779le_alt * list_A1748581779le_alt * fun_Ar1414184139t_bool ) > arrow_931160158le_alt ).

tff(func_def_1014,type,
    sK240: ( list_A1748581779le_alt * list_A1748581779le_alt * fun_Ar1414184139t_bool ) > list_A1748581779le_alt ).

tff(func_def_1015,type,
    sK241: ( list_A1748581779le_alt * list_A1748581779le_alt * fun_Ar1414184139t_bool ) > list_A1748581779le_alt ).

tff(func_def_1016,type,
    sK242: ( fun_Ar1091019988t_bool * list_A1748581779le_alt ) > arrow_931160158le_alt ).

tff(func_def_1017,type,
    sK243: ( fun_Ar1091019988t_bool * list_A1748581779le_alt ) > arrow_931160158le_alt ).

tff(func_def_1018,type,
    sK244: ( fun_Pr1055212137t_bool * list_A1748581779le_alt ) > arrow_931160158le_alt ).

tff(func_def_1019,type,
    sK245: ( fun_Pr1055212137t_bool * list_A1748581779le_alt ) > arrow_931160158le_alt ).

tff(func_def_1020,type,
    sK246: ( fun_Pr1055212137t_bool * list_A1748581779le_alt ) > arrow_931160158le_alt ).

tff(func_def_1021,type,
    sK247: ( fun_Pr1013460023t_bool * list_l1735481012le_alt ) > list_A1748581779le_alt ).

tff(func_def_1022,type,
    sK248: ( fun_Pr1013460023t_bool * list_l1735481012le_alt ) > list_A1748581779le_alt ).

tff(func_def_1023,type,
    sK249: ( fun_Pr1013460023t_bool * list_l1735481012le_alt ) > list_A1748581779le_alt ).

tff(func_def_1024,type,
    sK250: ( fun_Pr2049153787t_bool * list_P1493174166le_alt ) > produc662089077le_alt ).

tff(func_def_1025,type,
    sK251: ( fun_Pr2049153787t_bool * list_P1493174166le_alt ) > produc662089077le_alt ).

tff(func_def_1026,type,
    sK252: ( fun_Pr2049153787t_bool * list_P1493174166le_alt ) > produc662089077le_alt ).

tff(func_def_1027,type,
    sK253: ( fun_Pr811923643i_bool * list_A964264886e_indi ) > arrow_2115524757e_indi ).

tff(func_def_1028,type,
    sK254: ( fun_Pr811923643i_bool * list_A964264886e_indi ) > arrow_2115524757e_indi ).

tff(func_def_1029,type,
    sK255: ( fun_Pr811923643i_bool * list_A964264886e_indi ) > arrow_2115524757e_indi ).

tff(func_def_1030,type,
    sK256: ( fun_Pr754217419l_bool * list_bool ) > bool ).

tff(func_def_1031,type,
    sK257: ( fun_Pr754217419l_bool * list_bool ) > bool ).

tff(func_def_1032,type,
    sK258: ( fun_Pr754217419l_bool * list_bool ) > bool ).

tff(func_def_1033,type,
    sK259: ( fun_Pr119656123l_bool * list_f1301614006t_bool ) > fun_fu1595299477t_bool ).

tff(func_def_1034,type,
    sK260: ( fun_Pr119656123l_bool * list_f1301614006t_bool ) > fun_fu1595299477t_bool ).

tff(func_def_1035,type,
    sK261: ( fun_Pr119656123l_bool * list_f1301614006t_bool ) > fun_fu1595299477t_bool ).

tff(func_def_1036,type,
    sK262: ( fun_Pr811948841l_bool * list_f418358302t_bool ) > fun_Pr1055212137t_bool ).

tff(func_def_1037,type,
    sK263: ( fun_Pr811948841l_bool * list_f418358302t_bool ) > fun_Pr1055212137t_bool ).

tff(func_def_1038,type,
    sK264: ( fun_Pr811948841l_bool * list_f418358302t_bool ) > fun_Pr1055212137t_bool ).

tff(func_def_1039,type,
    sK265: ( fun_Pr1660699547l_bool * list_f767102118t_bool ) > fun_Ar500372357t_bool ).

tff(func_def_1040,type,
    sK266: ( fun_Pr1660699547l_bool * list_f767102118t_bool ) > fun_Ar500372357t_bool ).

tff(func_def_1041,type,
    sK267: ( fun_Pr1660699547l_bool * list_f767102118t_bool ) > fun_Ar500372357t_bool ).

tff(func_def_1042,type,
    sK268: ( fun_Pr666765279t_bool * list_P1216503240le_alt ) > produc1840315303le_alt ).

tff(func_def_1043,type,
    sK269: ( fun_Pr666765279t_bool * list_P1216503240le_alt ) > produc1840315303le_alt ).

tff(func_def_1044,type,
    sK270: ( fun_Pr666765279t_bool * list_P1216503240le_alt ) > produc1840315303le_alt ).

tff(func_def_1045,type,
    sK271: ( fun_Ar1091019988t_bool * list_A1748581779le_alt ) > arrow_931160158le_alt ).

tff(func_def_1046,type,
    sK272: ( fun_Pr1013460023t_bool * list_P1493174166le_alt ) > produc662089077le_alt ).

tff(func_def_1047,type,
    sK273: ( fun_Ar552120407i_bool * list_A964264886e_indi ) > arrow_2115524757e_indi ).

tff(func_def_1048,type,
    sK274: ( fun_bool_bool * list_bool ) > bool ).

tff(func_def_1049,type,
    sK275: ( fun_fu1138137687l_bool * list_f1301614006t_bool ) > fun_fu1595299477t_bool ).

tff(func_def_1050,type,
    sK276: ( fun_fu1015689055l_bool * list_f418358302t_bool ) > fun_Pr1055212137t_bool ).

tff(func_def_1051,type,
    sK277: ( fun_fu775006535l_bool * list_f767102118t_bool ) > fun_Ar500372357t_bool ).

tff(func_def_1052,type,
    sK278: ( fun_Pr1055212137t_bool * list_P1216503240le_alt ) > produc1840315303le_alt ).

tff(func_def_1053,type,
    sK279: ( fun_Ar1091019988t_bool * list_A1748581779le_alt ) > arrow_931160158le_alt ).

tff(func_def_1054,type,
    sK280: ( fun_Pr1013460023t_bool * list_P1493174166le_alt ) > produc662089077le_alt ).

tff(func_def_1055,type,
    sK281: ( fun_Ar552120407i_bool * list_A964264886e_indi ) > arrow_2115524757e_indi ).

tff(func_def_1056,type,
    sK282: ( fun_bool_bool * list_bool ) > bool ).

tff(func_def_1057,type,
    sK283: ( fun_fu1138137687l_bool * list_f1301614006t_bool ) > fun_fu1595299477t_bool ).

tff(func_def_1058,type,
    sK284: ( fun_fu1015689055l_bool * list_f418358302t_bool ) > fun_Pr1055212137t_bool ).

tff(func_def_1059,type,
    sK285: ( fun_fu775006535l_bool * list_f767102118t_bool ) > fun_Ar500372357t_bool ).

tff(func_def_1060,type,
    sK286: ( fun_Pr1055212137t_bool * list_P1216503240le_alt ) > produc1840315303le_alt ).

tff(func_def_1061,type,
    sK287: ( fun_Ar1091019988t_bool * list_A1748581779le_alt ) > list_A1748581779le_alt ).

tff(func_def_1062,type,
    sK288: ( fun_Ar1091019988t_bool * list_A1748581779le_alt ) > arrow_931160158le_alt ).

tff(func_def_1063,type,
    sK289: ( fun_Ar1091019988t_bool * list_A1748581779le_alt ) > list_A1748581779le_alt ).

tff(func_def_1064,type,
    sK290: ( fun_Pr1055212137t_bool * list_f418358302t_bool ) > list_f418358302t_bool ).

tff(func_def_1065,type,
    sK291: ( fun_Pr1055212137t_bool * list_f418358302t_bool ) > list_f418358302t_bool ).

tff(func_def_1066,type,
    sK292: ( fun_Ar500372357t_bool * list_f767102118t_bool ) > list_f767102118t_bool ).

tff(func_def_1067,type,
    sK293: ( fun_Ar500372357t_bool * list_f767102118t_bool ) > list_f767102118t_bool ).

tff(func_def_1068,type,
    sK294: ( produc1840315303le_alt * list_P1216503240le_alt ) > list_P1216503240le_alt ).

tff(func_def_1069,type,
    sK295: ( produc1840315303le_alt * list_P1216503240le_alt ) > list_P1216503240le_alt ).

tff(func_def_1070,type,
    sK296: arrow_2115524757e_indi ).

tff(func_def_1071,type,
    sF297: fun_Ar836847646le_alt ).

tff(func_def_1072,type,
    sF298: produc1840315303le_alt ).

tff(func_def_1073,type,
    sF299: fun_fu1015689055l_bool ).

tff(func_def_1074,type,
    sF300: fun_Pr1055212137t_bool ).

tff(func_def_1075,type,
    sF301: fun_Ar1164786343t_bool ).

tff(func_def_1076,type,
    sF302: fun_Ar1275715144t_bool ).

tff(func_def_1077,type,
    sF303: fun_Pr1055212137t_bool ).

tff(func_def_1078,type,
    sF304: bool ).

tff(func_def_1079,type,
    sF305: produc1840315303le_alt ).

tff(func_def_1080,type,
    sF306: fun_fu1015689055l_bool ).

tff(func_def_1081,type,
    sF307: bool ).

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

tff(pred_def_2,type,
    sP0: ( arrow_931160158le_alt * arrow_931160158le_alt * fun_Pr1055212137t_bool * arrow_931160158le_alt * arrow_931160158le_alt ) > $o ).

tff(pred_def_3,type,
    sP1: fun_fu1595299477t_bool > $o ).

tff(pred_def_4,type,
    sP2: ( arrow_931160158le_alt * arrow_931160158le_alt * fun_Pr1055212137t_bool * arrow_931160158le_alt * arrow_931160158le_alt ) > $o ).

tff(pred_def_5,type,
    sP3: ( list_l1735481012le_alt * list_l1735481012le_alt * fun_Pr1013460023t_bool ) > $o ).

tff(pred_def_6,type,
    sP4: ( list_A1748581779le_alt * list_A1748581779le_alt * fun_Pr1055212137t_bool ) > $o ).

tff(pred_def_7,type,
    sP5: ( list_A1748581779le_alt * list_A1748581779le_alt * fun_Ar1414184139t_bool ) > $o ).

tff(f1,axiom,
    hBOOL(hAPP_f1465510031l_bool(hAPP_f2029708741l_bool(member1159072754t_bool,p),arrow_1190054106e_Prof)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__096P_A_058_AProf_096) ).

tff(f5,axiom,
    hBOOL(hAPP_l713721587t_bool(distin692125441le_alt,hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,a),hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,b),hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,c),nil_Ar1741995278le_alt))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_dist) ).

tff(f13,axiom,
    ! [X0: arrow_931160158le_alt,X1: arrow_931160158le_alt,X2: fun_Pr1055212137t_bool,X3: arrow_931160158le_alt,X4: arrow_931160158le_alt] :
      ( ( X3 != X4 )
     => ( hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,X2),arrow_915577424le_Lin))
       => ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X1)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,X2),X3),X4)))
        <=> ( ( X0 != X1 )
            & ( ( X1 = X3 )
             => hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X4)),X2)) )
            & ( ( X1 != X3 )
             => ( ( ( X0 = X3 )
                 => ( ( X1 = X4 )
                    | hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X4),X1)),X2)) ) )
                & ( ( X0 != X3 )
                 => hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X1)),X2)) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_in__below) ).

tff(f81,axiom,
    ! [X0: list_A1748581779le_alt] :
      ( ( X0 != nil_Ar1741995278le_alt )
    <=> ? [X1: arrow_931160158le_alt,X2: list_A1748581779le_alt] : ( X0 = hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X1),X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_neq__Nil__conv) ).

tff(f115,axiom,
    ! [X0: arrow_2115524757e_indi,X1: fun_Ar500372357t_bool,X2: fun_Ar552120407i_bool,X3: fun_fu1015689055l_bool] :
      ( hBOOL(hAPP_f1465510031l_bool(hAPP_f2029708741l_bool(member1159072754t_bool,X1),pi_Arr487970267t_bool(X2,hAPP_f1793492343l_bool(cOMBK_1595020336e_indi,X3))))
     => ( hBOOL(hAPP_f1397511071l_bool(hAPP_A605074405l_bool(member590466050e_indi,X0),X2))
       => hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,hAPP_A1174518481t_bool(X1,X0)),X3)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_114_funcset__mem) ).

tff(f263,axiom,
    ! [X0: arrow_931160158le_alt] : ( insert428884260le_alt(X0,nil_Ar1741995278le_alt) = hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),nil_Ar1741995278le_alt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_262_insert__Nil) ).

tff(f290,axiom,
    arrow_1190054106e_Prof = pi_Arr487970267t_bool(top_to1678393681i_bool,hAPP_f1793492343l_bool(cOMBK_1595020336e_indi,arrow_915577424le_Lin)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_289_Prof__def) ).

tff(f309,axiom,
    ! [X0: arrow_931160158le_alt,X1: list_A1748581779le_alt] :
      ( ( ( X1 = nil_Ar1741995278le_alt )
       => ( last_A1673116455le_alt(hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),X1)) = X0 ) )
      & ( ( X1 != nil_Ar1741995278le_alt )
       => ( last_A1673116455le_alt(hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),X1)) = last_A1673116455le_alt(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_308_last_Osimps) ).

tff(f325,axiom,
    ! [X0: arrow_2115524757e_indi] : hBOOL(hAPP_f1397511071l_bool(hAPP_A605074405l_bool(member590466050e_indi,X0),top_to1678393681i_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_324_iso__tuple__UNIV__I) ).

tff(f557,axiom,
    ! [X0: arrow_931160158le_alt,X1: list_A1748581779le_alt] :
      ( hBOOL(hAPP_l713721587t_bool(distin692125441le_alt,hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),X1)))
    <=> ( ~ hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,X0),set_Ar1033255471le_alt(X1)))
        & hBOOL(hAPP_l713721587t_bool(distin692125441le_alt,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_556_distinct_Osimps_I2_J) ).

tff(f573,axiom,
    ! [X0: list_A1748581779le_alt] :
      ( ( X0 != nil_Ar1741995278le_alt )
     => hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,last_A1673116455le_alt(X0)),set_Ar1033255471le_alt(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_572_last__in__set) ).

tff(f808,conjecture,
    ! [X0: arrow_2115524757e_indi] :
      ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,a),b)),hAPP_A1174518481t_bool(p,X0)))
    <=> hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,a),c)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,hAPP_A1174518481t_bool(p,X0)),c),b))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f809,negated_conjecture,
    ~ ! [X0: arrow_2115524757e_indi] :
        ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,a),b)),hAPP_A1174518481t_bool(p,X0)))
      <=> hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,a),c)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,hAPP_A1174518481t_bool(p,X0)),c),b))) ),
    inference(negated_conjecture,[status(cth)],[f808]) ).

tff(f816,plain,
    ! [X0: arrow_931160158le_alt,X1: arrow_931160158le_alt,X2: fun_Pr1055212137t_bool,X3: arrow_931160158le_alt,X4: arrow_931160158le_alt] :
      ( ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X1)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,X2),X3),X4)))
      <=> ( ( X0 != X1 )
          & ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X4)),X2))
            | ( X1 != X3 ) )
          & ( ( ( ( X1 = X4 )
                | hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X4),X1)),X2))
                | ( X0 != X3 ) )
              & ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X1)),X2))
                | ( X0 = X3 ) ) )
            | ( X1 = X3 ) ) ) )
      | ~ hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,X2),arrow_915577424le_Lin))
      | ( X3 = X4 ) ),
    inference(ennf_transformation,[],[f13]) ).

tff(f817,plain,
    ! [X0: arrow_931160158le_alt,X1: arrow_931160158le_alt,X2: fun_Pr1055212137t_bool,X3: arrow_931160158le_alt,X4: arrow_931160158le_alt] :
      ( ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X1)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,X2),X3),X4)))
      <=> ( ( X0 != X1 )
          & ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X4)),X2))
            | ( X1 != X3 ) )
          & ( ( ( ( X1 = X4 )
                | hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X4),X1)),X2))
                | ( X0 != X3 ) )
              & ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X1)),X2))
                | ( X0 = X3 ) ) )
            | ( X1 = X3 ) ) ) )
      | ~ hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,X2),arrow_915577424le_Lin))
      | ( X3 = X4 ) ),
    inference(flattening,[],[f816]) ).

tff(f975,plain,
    ! [X0: arrow_2115524757e_indi,X1: fun_Ar500372357t_bool,X2: fun_Ar552120407i_bool,X3: fun_fu1015689055l_bool] :
      ( hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,hAPP_A1174518481t_bool(X1,X0)),X3))
      | ~ hBOOL(hAPP_f1397511071l_bool(hAPP_A605074405l_bool(member590466050e_indi,X0),X2))
      | ~ hBOOL(hAPP_f1465510031l_bool(hAPP_f2029708741l_bool(member1159072754t_bool,X1),pi_Arr487970267t_bool(X2,hAPP_f1793492343l_bool(cOMBK_1595020336e_indi,X3)))) ),
    inference(ennf_transformation,[],[f115]) ).

tff(f976,plain,
    ! [X0: arrow_2115524757e_indi,X1: fun_Ar500372357t_bool,X2: fun_Ar552120407i_bool,X3: fun_fu1015689055l_bool] :
      ( hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,hAPP_A1174518481t_bool(X1,X0)),X3))
      | ~ hBOOL(hAPP_f1397511071l_bool(hAPP_A605074405l_bool(member590466050e_indi,X0),X2))
      | ~ hBOOL(hAPP_f1465510031l_bool(hAPP_f2029708741l_bool(member1159072754t_bool,X1),pi_Arr487970267t_bool(X2,hAPP_f1793492343l_bool(cOMBK_1595020336e_indi,X3)))) ),
    inference(flattening,[],[f975]) ).

tff(f1163,plain,
    ! [X0: arrow_931160158le_alt,X1: list_A1748581779le_alt] :
      ( ( ( last_A1673116455le_alt(hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),X1)) = X0 )
        | ( nil_Ar1741995278le_alt != X1 ) )
      & ( ( last_A1673116455le_alt(hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),X1)) = last_A1673116455le_alt(X1) )
        | ( nil_Ar1741995278le_alt = X1 ) ) ),
    inference(ennf_transformation,[],[f309]) ).

tff(f1360,plain,
    ! [X0: list_A1748581779le_alt] :
      ( hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,last_A1673116455le_alt(X0)),set_Ar1033255471le_alt(X0)))
      | ( nil_Ar1741995278le_alt = X0 ) ),
    inference(ennf_transformation,[],[f573]) ).

tff(f1491,plain,
    ? [X0: arrow_2115524757e_indi] :
      ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,a),b)),hAPP_A1174518481t_bool(p,X0)))
    <~> hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,a),c)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,hAPP_A1174518481t_bool(p,X0)),c),b))) ),
    inference(ennf_transformation,[],[f809]) ).

tff(f1492,definition,
    ! [X4: arrow_931160158le_alt,X1: arrow_931160158le_alt,X2: fun_Pr1055212137t_bool,X3: arrow_931160158le_alt,X0: arrow_931160158le_alt] :
      ( sP0(X4,X1,X2,X3,X0)
    <=> ( ( ( ( X1 = X4 )
            | hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X4),X1)),X2))
            | ( X0 != X3 ) )
          & ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X1)),X2))
            | ( X0 = X3 ) ) )
        | ( X1 = X3 ) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

tff(f1493,plain,
    ! [X0: arrow_931160158le_alt,X1: arrow_931160158le_alt,X2: fun_Pr1055212137t_bool,X3: arrow_931160158le_alt,X4: arrow_931160158le_alt] :
      ( ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X1)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,X2),X3),X4)))
      <=> ( ( X0 != X1 )
          & ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X4)),X2))
            | ( X1 != X3 ) )
          & sP0(X4,X1,X2,X3,X0) ) )
      | ~ hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,X2),arrow_915577424le_Lin))
      | ( X3 = X4 ) ),
    inference(definition_folding,[],[f817,f1492]) ).

tff(f1510,plain,
    ! [X4: arrow_931160158le_alt,X1: arrow_931160158le_alt,X2: fun_Pr1055212137t_bool,X3: arrow_931160158le_alt,X0: arrow_931160158le_alt] :
      ( ( sP0(X4,X1,X2,X3,X0)
        | ( ( ( ( X1 != X4 )
              & ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X4),X1)),X2))
              & ( X0 = X3 ) )
            | ( ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X1)),X2))
              & ( X0 != X3 ) ) )
          & ( X1 != X3 ) ) )
      & ( ( ( ( X1 = X4 )
            | hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X4),X1)),X2))
            | ( X0 != X3 ) )
          & ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X1)),X2))
            | ( X0 = X3 ) ) )
        | ( X1 = X3 )
        | ~ sP0(X4,X1,X2,X3,X0) ) ),
    inference(nnf_transformation,[],[f1492]) ).

tff(f1511,plain,
    ! [X4: arrow_931160158le_alt,X1: arrow_931160158le_alt,X2: fun_Pr1055212137t_bool,X3: arrow_931160158le_alt,X0: arrow_931160158le_alt] :
      ( ( sP0(X4,X1,X2,X3,X0)
        | ( ( ( ( X1 != X4 )
              & ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X4),X1)),X2))
              & ( X0 = X3 ) )
            | ( ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X1)),X2))
              & ( X0 != X3 ) ) )
          & ( X1 != X3 ) ) )
      & ( ( ( ( X1 = X4 )
            | hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X4),X1)),X2))
            | ( X0 != X3 ) )
          & ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X1)),X2))
            | ( X0 = X3 ) ) )
        | ( X1 = X3 )
        | ~ sP0(X4,X1,X2,X3,X0) ) ),
    inference(flattening,[],[f1510]) ).

tff(f1512,plain,
    ! [X0: arrow_931160158le_alt,X1: arrow_931160158le_alt,X2: fun_Pr1055212137t_bool,X3: arrow_931160158le_alt,X4: arrow_931160158le_alt] :
      ( ( sP0(X0,X1,X2,X3,X4)
        | ( ( ( ( X0 != X1 )
              & ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X1)),X2))
              & ( X3 = X4 ) )
            | ( ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X4),X1)),X2))
              & ( X3 != X4 ) ) )
          & ( X1 != X3 ) ) )
      & ( ( ( ( X0 = X1 )
            | hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X1)),X2))
            | ( X3 != X4 ) )
          & ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X4),X1)),X2))
            | ( X3 = X4 ) ) )
        | ( X1 = X3 )
        | ~ sP0(X0,X1,X2,X3,X4) ) ),
    inference(rectify,[],[f1511]) ).

tff(f1513,plain,
    ! [X0: arrow_931160158le_alt,X1: arrow_931160158le_alt,X2: fun_Pr1055212137t_bool,X3: arrow_931160158le_alt,X4: arrow_931160158le_alt] :
      ( ( ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X1)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,X2),X3),X4)))
          | ( X0 = X1 )
          | ( ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X4)),X2))
            & ( X1 = X3 ) )
          | ~ sP0(X4,X1,X2,X3,X0) )
        & ( ( ( X0 != X1 )
            & ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X4)),X2))
              | ( X1 != X3 ) )
            & sP0(X4,X1,X2,X3,X0) )
          | ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X1)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,X2),X3),X4))) ) )
      | ~ hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,X2),arrow_915577424le_Lin))
      | ( X3 = X4 ) ),
    inference(nnf_transformation,[],[f1493]) ).

tff(f1514,plain,
    ! [X0: arrow_931160158le_alt,X1: arrow_931160158le_alt,X2: fun_Pr1055212137t_bool,X3: arrow_931160158le_alt,X4: arrow_931160158le_alt] :
      ( ( ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X1)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,X2),X3),X4)))
          | ( X0 = X1 )
          | ( ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X4)),X2))
            & ( X1 = X3 ) )
          | ~ sP0(X4,X1,X2,X3,X0) )
        & ( ( ( X0 != X1 )
            & ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X4)),X2))
              | ( X1 != X3 ) )
            & sP0(X4,X1,X2,X3,X0) )
          | ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X1)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,X2),X3),X4))) ) )
      | ~ hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,X2),arrow_915577424le_Lin))
      | ( X3 = X4 ) ),
    inference(flattening,[],[f1513]) ).

tff(f1553,plain,
    ! [X0: list_A1748581779le_alt] :
      ( ( ( X0 != nil_Ar1741995278le_alt )
        | ! [X1: arrow_931160158le_alt,X2: list_A1748581779le_alt] : ( hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X1),X2) != X0 ) )
      & ( ? [X1: arrow_931160158le_alt,X2: list_A1748581779le_alt] : ( X0 = hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X1),X2) )
        | ( nil_Ar1741995278le_alt = X0 ) ) ),
    inference(nnf_transformation,[],[f81]) ).

tff(f1554,plain,
    ! [X0: list_A1748581779le_alt] :
      ( ( ( X0 != nil_Ar1741995278le_alt )
        | ! [X1: arrow_931160158le_alt,X2: list_A1748581779le_alt] : ( hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X1),X2) != X0 ) )
      & ( ? [X3: arrow_931160158le_alt,X4: list_A1748581779le_alt] : ( hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X3),X4) = X0 )
        | ( nil_Ar1741995278le_alt = X0 ) ) ),
    inference(rectify,[],[f1553]) ).

tff(f1555,plain,
    ! [X0: list_A1748581779le_alt] :
      ( ( ( X0 != nil_Ar1741995278le_alt )
        | ! [X1: arrow_931160158le_alt,X2: list_A1748581779le_alt] : ( hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X1),X2) != X0 ) )
      & ( ( hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,sK35(X0)),sK36(X0)) = X0 )
        | ( nil_Ar1741995278le_alt = X0 ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK35,sK36]),skolemize(X3,sK35(X0)),skolemize(X4,sK36(X0))],[f1554]) ).

tff(f1824,plain,
    ! [X0: arrow_931160158le_alt,X1: list_A1748581779le_alt] :
      ( ( hBOOL(hAPP_l713721587t_bool(distin692125441le_alt,hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),X1)))
        | hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,X0),set_Ar1033255471le_alt(X1)))
        | ~ hBOOL(hAPP_l713721587t_bool(distin692125441le_alt,X1)) )
      & ( ( ~ hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,X0),set_Ar1033255471le_alt(X1)))
          & hBOOL(hAPP_l713721587t_bool(distin692125441le_alt,X1)) )
        | ~ hBOOL(hAPP_l713721587t_bool(distin692125441le_alt,hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),X1))) ) ),
    inference(nnf_transformation,[],[f557]) ).

tff(f1825,plain,
    ! [X0: arrow_931160158le_alt,X1: list_A1748581779le_alt] :
      ( ( hBOOL(hAPP_l713721587t_bool(distin692125441le_alt,hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),X1)))
        | hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,X0),set_Ar1033255471le_alt(X1)))
        | ~ hBOOL(hAPP_l713721587t_bool(distin692125441le_alt,X1)) )
      & ( ( ~ hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,X0),set_Ar1033255471le_alt(X1)))
          & hBOOL(hAPP_l713721587t_bool(distin692125441le_alt,X1)) )
        | ~ hBOOL(hAPP_l713721587t_bool(distin692125441le_alt,hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),X1))) ) ),
    inference(flattening,[],[f1824]) ).

tff(f1899,plain,
    ? [X0: arrow_2115524757e_indi] :
      ( ( ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,a),c)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,hAPP_A1174518481t_bool(p,X0)),c),b)))
        | ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,a),b)),hAPP_A1174518481t_bool(p,X0))) )
      & ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,a),c)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,hAPP_A1174518481t_bool(p,X0)),c),b)))
        | hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,a),b)),hAPP_A1174518481t_bool(p,X0))) ) ),
    inference(nnf_transformation,[],[f1491]) ).

tff(f1900,plain,
    ( ( ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,a),c)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,hAPP_A1174518481t_bool(p,sK296)),c),b)))
      | ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,a),b)),hAPP_A1174518481t_bool(p,sK296))) )
    & ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,a),c)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,hAPP_A1174518481t_bool(p,sK296)),c),b)))
      | hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,a),b)),hAPP_A1174518481t_bool(p,sK296))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK296]),skolemize(X0,sK296)],[f1899]) ).

tff(f1901,plain,
    hBOOL(hAPP_f1465510031l_bool(hAPP_f2029708741l_bool(member1159072754t_bool,p),arrow_1190054106e_Prof)),
    inference(cnf_transformation,[],[f1]) ).

tff(f1905,plain,
    hBOOL(hAPP_l713721587t_bool(distin692125441le_alt,hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,a),hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,b),hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,c),nil_Ar1741995278le_alt))))),
    inference(cnf_transformation,[],[f5]) ).

tff(f1928,plain,
    ! [X2: fun_Pr1055212137t_bool,X3: arrow_931160158le_alt,X0: arrow_931160158le_alt,X1: arrow_931160158le_alt,X4: arrow_931160158le_alt] :
      ( sP0(X0,X1,X2,X3,X4)
      | ( X1 != X3 ) ),
    inference(cnf_transformation,[],[f1512]) ).

tff(f1936,plain,
    ! [X2: fun_Pr1055212137t_bool,X3: arrow_931160158le_alt,X0: arrow_931160158le_alt,X1: arrow_931160158le_alt,X4: arrow_931160158le_alt] :
      ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X4)),X2))
      | ( X1 != X3 )
      | ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X1)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,X2),X3),X4)))
      | ~ hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,X2),arrow_915577424le_Lin))
      | ( X3 = X4 ) ),
    inference(cnf_transformation,[],[f1514]) ).

tff(f1939,plain,
    ! [X2: fun_Pr1055212137t_bool,X3: arrow_931160158le_alt,X0: arrow_931160158le_alt,X1: arrow_931160158le_alt,X4: arrow_931160158le_alt] :
      ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X1)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,X2),X3),X4)))
      | ( X0 = X1 )
      | ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X4)),X2))
      | ~ sP0(X4,X1,X2,X3,X0)
      | ~ hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,X2),arrow_915577424le_Lin))
      | ( X3 = X4 ) ),
    inference(cnf_transformation,[],[f1514]) ).

tff(f2056,plain,
    ! [X2: list_A1748581779le_alt,X0: list_A1748581779le_alt,X1: arrow_931160158le_alt] :
      ( ( nil_Ar1741995278le_alt != X0 )
      | ( hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X1),X2) != X0 ) ),
    inference(cnf_transformation,[],[f1555]) ).

tff(f2092,plain,
    ! [X2: fun_Ar552120407i_bool,X3: fun_fu1015689055l_bool,X0: arrow_2115524757e_indi,X1: fun_Ar500372357t_bool] :
      ( ~ hBOOL(hAPP_f1465510031l_bool(hAPP_f2029708741l_bool(member1159072754t_bool,X1),pi_Arr487970267t_bool(X2,hAPP_f1793492343l_bool(cOMBK_1595020336e_indi,X3))))
      | ~ hBOOL(hAPP_f1397511071l_bool(hAPP_A605074405l_bool(member590466050e_indi,X0),X2))
      | hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,hAPP_A1174518481t_bool(X1,X0)),X3)) ),
    inference(cnf_transformation,[],[f976]) ).

tff(f2358,plain,
    ! [X0: arrow_931160158le_alt] : ( hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),nil_Ar1741995278le_alt) = insert428884260le_alt(X0,nil_Ar1741995278le_alt) ),
    inference(cnf_transformation,[],[f263]) ).

tff(f2400,plain,
    arrow_1190054106e_Prof = pi_Arr487970267t_bool(top_to1678393681i_bool,hAPP_f1793492343l_bool(cOMBK_1595020336e_indi,arrow_915577424le_Lin)),
    inference(cnf_transformation,[],[f290]) ).

tff(f2427,plain,
    ! [X0: arrow_931160158le_alt,X1: list_A1748581779le_alt] :
      ( ( last_A1673116455le_alt(hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),X1)) = last_A1673116455le_alt(X1) )
      | ( nil_Ar1741995278le_alt = X1 ) ),
    inference(cnf_transformation,[],[f1163]) ).

tff(f2428,plain,
    ! [X0: arrow_931160158le_alt,X1: list_A1748581779le_alt] :
      ( ( last_A1673116455le_alt(hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),X1)) = X0 )
      | ( nil_Ar1741995278le_alt != X1 ) ),
    inference(cnf_transformation,[],[f1163]) ).

tff(f2449,plain,
    ! [X0: arrow_2115524757e_indi] : hBOOL(hAPP_f1397511071l_bool(hAPP_A605074405l_bool(member590466050e_indi,X0),top_to1678393681i_bool)),
    inference(cnf_transformation,[],[f325]) ).

tff(f2842,plain,
    ! [X0: arrow_931160158le_alt,X1: list_A1748581779le_alt] :
      ( ~ hBOOL(hAPP_l713721587t_bool(distin692125441le_alt,hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),X1)))
      | hBOOL(hAPP_l713721587t_bool(distin692125441le_alt,X1)) ),
    inference(cnf_transformation,[],[f1825]) ).

tff(f2843,plain,
    ! [X0: arrow_931160158le_alt,X1: list_A1748581779le_alt] :
      ( ~ hBOOL(hAPP_l713721587t_bool(distin692125441le_alt,hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),X1)))
      | ~ hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,X0),set_Ar1033255471le_alt(X1))) ),
    inference(cnf_transformation,[],[f1825]) ).

tff(f2874,plain,
    ! [X0: list_A1748581779le_alt] :
      ( hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,last_A1673116455le_alt(X0)),set_Ar1033255471le_alt(X0)))
      | ( nil_Ar1741995278le_alt = X0 ) ),
    inference(cnf_transformation,[],[f1360]) ).

tff(f3203,plain,
    ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,a),c)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,hAPP_A1174518481t_bool(p,sK296)),c),b)))
    | hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,a),b)),hAPP_A1174518481t_bool(p,sK296))) ),
    inference(cnf_transformation,[],[f1900]) ).

tff(f3204,plain,
    ( ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,a),c)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,hAPP_A1174518481t_bool(p,sK296)),c),b)))
    | ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,a),b)),hAPP_A1174518481t_bool(p,sK296))) ),
    inference(cnf_transformation,[],[f1900]) ).

tff(f3267,plain,
    ! [X2: fun_Pr1055212137t_bool,X3: arrow_931160158le_alt,X0: arrow_931160158le_alt,X4: arrow_931160158le_alt] : sP0(X0,X3,X2,X3,X4),
    inference(equality_resolution,[],[f1928]) ).

tff(f3270,plain,
    ! [X2: fun_Pr1055212137t_bool,X3: arrow_931160158le_alt,X0: arrow_931160158le_alt,X4: arrow_931160158le_alt] :
      ( ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X3)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,X2),X3),X4)))
      | hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,X0),X4)),X2))
      | ~ hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,X2),arrow_915577424le_Lin))
      | ( X3 = X4 ) ),
    inference(equality_resolution,[],[f1936]) ).

tff(f3286,plain,
    ! [X2: list_A1748581779le_alt,X1: arrow_931160158le_alt] : ( nil_Ar1741995278le_alt != hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X1),X2) ),
    inference(equality_resolution,[],[f2056]) ).

tff(f3298,plain,
    ! [X0: arrow_931160158le_alt] : ( last_A1673116455le_alt(hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),nil_Ar1741995278le_alt)) = X0 ),
    inference(equality_resolution,[],[f2428]) ).

tff(f3399,definition,
    sF297 = hAPP_A1485971815le_alt(produc362059031le_alt,a),
    introduced(definition,[new_symbols(definition,[sF297])],[function_definition]) ).

tff(f3400,plain,
    hAPP_A1485971815le_alt(produc362059031le_alt,a) = sF297,
    inference(reorient_equations,[],[f3399]) ).

tff(f3401,definition,
    sF298 = hAPP_A1313367280le_alt(sF297,c),
    introduced(definition,[new_symbols(definition,[sF298])],[function_definition]) ).

tff(f3402,plain,
    hAPP_A1313367280le_alt(sF297,c) = sF298,
    inference(reorient_equations,[],[f3401]) ).

tff(f3403,definition,
    sF299 = hAPP_P840149257l_bool(member553230100le_alt,sF298),
    introduced(definition,[new_symbols(definition,[sF299])],[function_definition]) ).

tff(f3404,plain,
    hAPP_P840149257l_bool(member553230100le_alt,sF298) = sF299,
    inference(reorient_equations,[],[f3403]) ).

tff(f3405,definition,
    sF300 = hAPP_A1174518481t_bool(p,sK296),
    introduced(definition,[new_symbols(definition,[sF300])],[function_definition]) ).

tff(f3406,plain,
    hAPP_A1174518481t_bool(p,sK296) = sF300,
    inference(reorient_equations,[],[f3405]) ).

tff(f3407,definition,
    sF301 = hAPP_f1909595219t_bool(arrow_636638768_below,sF300),
    introduced(definition,[new_symbols(definition,[sF301])],[function_definition]) ).

tff(f3408,plain,
    hAPP_f1909595219t_bool(arrow_636638768_below,sF300) = sF301,
    inference(reorient_equations,[],[f3407]) ).

tff(f3409,definition,
    sF302 = hAPP_A501825983t_bool(sF301,c),
    introduced(definition,[new_symbols(definition,[sF302])],[function_definition]) ).

tff(f3410,plain,
    hAPP_A501825983t_bool(sF301,c) = sF302,
    inference(reorient_equations,[],[f3409]) ).

tff(f3411,definition,
    sF303 = hAPP_A606737888t_bool(sF302,b),
    introduced(definition,[new_symbols(definition,[sF303])],[function_definition]) ).

tff(f3412,plain,
    hAPP_A606737888t_bool(sF302,b) = sF303,
    inference(reorient_equations,[],[f3411]) ).

tff(f3413,definition,
    sF304 = hAPP_f429946033l_bool(sF299,sF303),
    introduced(definition,[new_symbols(definition,[sF304])],[function_definition]) ).

tff(f3414,plain,
    hAPP_f429946033l_bool(sF299,sF303) = sF304,
    inference(reorient_equations,[],[f3413]) ).

tff(f3415,definition,
    sF305 = hAPP_A1313367280le_alt(sF297,b),
    introduced(definition,[new_symbols(definition,[sF305])],[function_definition]) ).

tff(f3416,plain,
    hAPP_A1313367280le_alt(sF297,b) = sF305,
    inference(reorient_equations,[],[f3415]) ).

tff(f3417,definition,
    sF306 = hAPP_P840149257l_bool(member553230100le_alt,sF305),
    introduced(definition,[new_symbols(definition,[sF306])],[function_definition]) ).

tff(f3418,plain,
    hAPP_P840149257l_bool(member553230100le_alt,sF305) = sF306,
    inference(reorient_equations,[],[f3417]) ).

tff(f3419,definition,
    sF307 = hAPP_f429946033l_bool(sF306,sF300),
    introduced(definition,[new_symbols(definition,[sF307])],[function_definition]) ).

tff(f3420,plain,
    hAPP_f429946033l_bool(sF306,sF300) = sF307,
    inference(reorient_equations,[],[f3419]) ).

tff(f3421,plain,
    ( ~ hBOOL(sF304)
    | ~ hBOOL(sF307) ),
    inference(definition_folding,[],[f3204,f3420,f3406,f3418,f3416,f3400,f3414,f3412,f3410,f3408,f3406,f3404,f3402,f3400]) ).

tff(f3422,plain,
    ( hBOOL(sF304)
    | hBOOL(sF307) ),
    inference(definition_folding,[],[f3203,f3420,f3406,f3418,f3416,f3400,f3414,f3412,f3410,f3408,f3406,f3404,f3402,f3400]) ).

tff(f3430,definition,
    ( spl308_1
  <=> hBOOL(sF307) ),
    introduced(definition,[new_symbols(definition,[spl308_1])],[avatar_definition]) ).

tff(f3431,plain,
    ( ~ hBOOL(sF307)
    | spl308_1 ),
    inference(avatar_component_clause,[],[f3430]) ).

tff(f3432,plain,
    ( hBOOL(sF307)
    | ~ spl308_1 ),
    inference(avatar_component_clause,[],[f3430]) ).

tff(f3434,definition,
    ( spl308_2
  <=> hBOOL(sF304) ),
    introduced(definition,[new_symbols(definition,[spl308_2])],[avatar_definition]) ).

tff(f3435,plain,
    ( ~ hBOOL(sF304)
    | spl308_2 ),
    inference(avatar_component_clause,[],[f3434]) ).

tff(f3436,plain,
    ( hBOOL(sF304)
    | ~ spl308_2 ),
    inference(avatar_component_clause,[],[f3434]) ).

tff(f3437,plain,
    ( spl308_1
    | spl308_2 ),
    inference(avatar_split_clause,[],[f3422,f3434,f3430]) ).

tff(f3438,plain,
    ( ~ spl308_1
    | ~ spl308_2 ),
    inference(avatar_split_clause,[],[f3421,f3434,f3430]) ).

tff(f3502,plain,
    hBOOL(hAPP_l713721587t_bool(distin692125441le_alt,hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,a),hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,b),insert428884260le_alt(c,nil_Ar1741995278le_alt))))),
    inference(forward_demodulation,[],[f1905,f2358]) ).

tff(f3505,definition,
    ( spl308_16
  <=> hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,sF300),arrow_915577424le_Lin)) ),
    introduced(definition,[new_symbols(definition,[spl308_16])],[avatar_definition]) ).

tff(f3506,plain,
    ( hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,sF300),arrow_915577424le_Lin))
    | ~ spl308_16 ),
    inference(avatar_component_clause,[],[f3505]) ).

tff(f3507,plain,
    ( ~ hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,sF300),arrow_915577424le_Lin))
    | spl308_16 ),
    inference(avatar_component_clause,[],[f3505]) ).

tff(f3512,plain,
    ! [X2: arrow_931160158le_alt,X0: arrow_931160158le_alt,X1: fun_Pr1055212137t_bool] :
      ( ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(sF297,X0)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,X1),X0),X2)))
      | hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(sF297,X2)),X1))
      | ~ hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,X1),arrow_915577424le_Lin))
      | ( X0 = X2 ) ),
    inference(superposition,[],[f3270,f3400]) ).

tff(f3515,plain,
    ! [X0: fun_Pr1055212137t_bool,X1: arrow_931160158le_alt] :
      ( ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,sF298),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,X0),c),X1)))
      | hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(sF297,X1)),X0))
      | ~ hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,X0),arrow_915577424le_Lin))
      | ( c = X1 ) ),
    inference(superposition,[],[f3512,f3402]) ).

tff(f3517,plain,
    ! [X0: fun_Pr1055212137t_bool,X1: arrow_931160158le_alt] :
      ( ~ hBOOL(hAPP_f429946033l_bool(sF299,hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,X0),c),X1)))
      | hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(sF297,X1)),X0))
      | ~ hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,X0),arrow_915577424le_Lin))
      | ( c = X1 ) ),
    inference(forward_demodulation,[],[f3515,f3404]) ).

tff(f3519,plain,
    ! [X0: arrow_931160158le_alt] :
      ( ~ hBOOL(hAPP_f429946033l_bool(sF299,hAPP_A606737888t_bool(hAPP_A501825983t_bool(sF301,c),X0)))
      | hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(sF297,X0)),sF300))
      | ~ hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,sF300),arrow_915577424le_Lin))
      | ( c = X0 ) ),
    inference(superposition,[],[f3517,f3408]) ).

tff(f3521,plain,
    hBOOL(hAPP_l713721587t_bool(distin692125441le_alt,hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,b),insert428884260le_alt(c,nil_Ar1741995278le_alt)))),
    inference(resolution,[],[f2842,f3502]) ).

tff(f3532,plain,
    ! [X2: arrow_931160158le_alt,X3: arrow_931160158le_alt,X0: arrow_931160158le_alt,X1: fun_Pr1055212137t_bool] :
      ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(sF297,X0)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(hAPP_f1909595219t_bool(arrow_636638768_below,X1),X2),X3)))
      | ( a = X0 )
      | ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(sF297,X3)),X1))
      | ~ sP0(X3,X0,X1,X2,a)
      | ~ hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,X1),arrow_915577424le_Lin))
      | ( X2 = X3 ) ),
    inference(superposition,[],[f1939,f3400]) ).

tff(f3540,plain,
    ! [X2: arrow_931160158le_alt,X0: arrow_931160158le_alt,X1: arrow_931160158le_alt] :
      ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(sF297,X0)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(sF301,X1),X2)))
      | ( a = X0 )
      | ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(sF297,X2)),sF300))
      | ~ sP0(X2,X0,sF300,X1,a)
      | ~ hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,sF300),arrow_915577424le_Lin))
      | ( X1 = X2 ) ),
    inference(superposition,[],[f3532,f3408]) ).

tff(f3546,definition,
    ( spl308_18
  <=> ( a = c ) ),
    introduced(definition,[new_symbols(definition,[spl308_18])],[avatar_definition]) ).

tff(f3547,plain,
    ( ( a != c )
    | spl308_18 ),
    inference(avatar_component_clause,[],[f3546]) ).

tff(f3548,plain,
    ( ( a = c )
    | ~ spl308_18 ),
    inference(avatar_component_clause,[],[f3546]) ).

tff(f3566,plain,
    ~ hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,a),set_Ar1033255471le_alt(hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,b),insert428884260le_alt(c,nil_Ar1741995278le_alt))))),
    inference(resolution,[],[f2843,f3502]) ).

tff(f3569,plain,
    ~ hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,b),set_Ar1033255471le_alt(insert428884260le_alt(c,nil_Ar1741995278le_alt)))),
    inference(resolution,[],[f2843,f3521]) ).

tff(f3598,plain,
    ! [X0: fun_Ar500372357t_bool,X1: arrow_2115524757e_indi] :
      ( ~ hBOOL(hAPP_f1465510031l_bool(hAPP_f2029708741l_bool(member1159072754t_bool,X0),arrow_1190054106e_Prof))
      | ~ hBOOL(hAPP_f1397511071l_bool(hAPP_A605074405l_bool(member590466050e_indi,X1),top_to1678393681i_bool))
      | hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,hAPP_A1174518481t_bool(X0,X1)),arrow_915577424le_Lin)) ),
    inference(superposition,[],[f2092,f2400]) ).

tff(f3599,plain,
    ! [X0: fun_Ar500372357t_bool,X1: arrow_2115524757e_indi] :
      ( hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,hAPP_A1174518481t_bool(X0,X1)),arrow_915577424le_Lin))
      | ~ hBOOL(hAPP_f1465510031l_bool(hAPP_f2029708741l_bool(member1159072754t_bool,X0),arrow_1190054106e_Prof)) ),
    inference(forward_subsumption_resolution,[],[f3598,f2449]) ).

tff(f3600,plain,
    ( hBOOL(hAPP_f1021703871l_bool(hAPP_f1370368205l_bool(member57118396t_bool,sF300),arrow_915577424le_Lin))
    | ~ hBOOL(hAPP_f1465510031l_bool(hAPP_f2029708741l_bool(member1159072754t_bool,p),arrow_1190054106e_Prof)) ),
    inference(superposition,[],[f3599,f3406]) ).

tff(f3601,plain,
    ( ~ hBOOL(hAPP_f1465510031l_bool(hAPP_f2029708741l_bool(member1159072754t_bool,p),arrow_1190054106e_Prof))
    | spl308_16 ),
    inference(forward_subsumption_resolution,[],[f3600,f3507]) ).

tff(f3602,plain,
    ( $false
    | spl308_16 ),
    inference(forward_subsumption_resolution,[],[f3601,f1901]) ).

tff(f3603,plain,
    spl308_16,
    inference(avatar_contradiction_clause,[],[f3602]) ).

tff(f3606,plain,
    ( ! [X0: arrow_931160158le_alt] :
        ( ~ hBOOL(hAPP_f429946033l_bool(sF299,hAPP_A606737888t_bool(hAPP_A501825983t_bool(sF301,c),X0)))
        | hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(sF297,X0)),sF300))
        | ( c = X0 ) )
    | ~ spl308_16 ),
    inference(forward_subsumption_resolution,[],[f3519,f3506]) ).

tff(f3611,plain,
    ( ! [X2: arrow_931160158le_alt,X0: arrow_931160158le_alt,X1: arrow_931160158le_alt] :
        ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(sF297,X0)),hAPP_A606737888t_bool(hAPP_A501825983t_bool(sF301,X1),X2)))
        | ( a = X0 )
        | ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(sF297,X2)),sF300))
        | ~ sP0(X2,X0,sF300,X1,a)
        | ( X1 = X2 ) )
    | ~ spl308_16 ),
    inference(forward_subsumption_resolution,[],[f3540,f3506]) ).

tff(f3613,plain,
    ( ! [X0: arrow_931160158le_alt] :
        ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(sF297,X0)),sF300))
        | ~ hBOOL(hAPP_f429946033l_bool(sF299,hAPP_A606737888t_bool(sF302,X0)))
        | ( c = X0 ) )
    | ~ spl308_16 ),
    inference(forward_demodulation,[],[f3606,f3410]) ).

tff(f3628,definition,
    ( spl308_20
  <=> ( b = c ) ),
    introduced(definition,[new_symbols(definition,[spl308_20])],[avatar_definition]) ).

tff(f3630,plain,
    ( ( b = c )
    | ~ spl308_20 ),
    inference(avatar_component_clause,[],[f3628]) ).

tff(f3636,plain,
    ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,sF305),sF300))
    | ~ hBOOL(hAPP_f429946033l_bool(sF299,hAPP_A606737888t_bool(sF302,b)))
    | ( b = c )
    | ~ spl308_16 ),
    inference(superposition,[],[f3613,f3416]) ).

tff(f3637,plain,
    ( hBOOL(hAPP_f429946033l_bool(sF306,sF300))
    | ~ hBOOL(hAPP_f429946033l_bool(sF299,hAPP_A606737888t_bool(sF302,b)))
    | ( b = c )
    | ~ spl308_16 ),
    inference(forward_demodulation,[],[f3636,f3418]) ).

tff(f3638,plain,
    ( hBOOL(sF307)
    | ~ hBOOL(hAPP_f429946033l_bool(sF299,hAPP_A606737888t_bool(sF302,b)))
    | ( b = c )
    | ~ spl308_16 ),
    inference(forward_demodulation,[],[f3637,f3420]) ).

tff(f3639,plain,
    ( ~ hBOOL(hAPP_f429946033l_bool(sF299,hAPP_A606737888t_bool(sF302,b)))
    | ( b = c )
    | spl308_1
    | ~ spl308_16 ),
    inference(forward_subsumption_resolution,[],[f3638,f3431]) ).

tff(f3640,plain,
    ( ~ hBOOL(hAPP_f429946033l_bool(sF299,sF303))
    | ( b = c )
    | spl308_1
    | ~ spl308_16 ),
    inference(forward_demodulation,[],[f3639,f3412]) ).

tff(f3641,plain,
    ( ~ hBOOL(sF304)
    | ( b = c )
    | spl308_1
    | ~ spl308_16 ),
    inference(forward_demodulation,[],[f3640,f3414]) ).

tff(f3642,plain,
    ( ( b = c )
    | spl308_1
    | ~ spl308_2
    | ~ spl308_16 ),
    inference(forward_subsumption_resolution,[],[f3641,f3436]) ).

tff(f3643,plain,
    ( spl308_20
    | spl308_1
    | ~ spl308_2
    | ~ spl308_16 ),
    inference(avatar_split_clause,[],[f3642,f3505,f3434,f3430,f3628]) ).

tff(f3677,plain,
    ! [X0: list_A1748581779le_alt,X1: arrow_931160158le_alt] :
      ( hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,last_A1673116455le_alt(X0)),set_Ar1033255471le_alt(hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X1),X0))))
      | ( nil_Ar1741995278le_alt = hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X1),X0) )
      | ( nil_Ar1741995278le_alt = X0 ) ),
    inference(superposition,[],[f2874,f2427]) ).

tff(f3678,plain,
    ! [X0: list_A1748581779le_alt,X1: arrow_931160158le_alt] :
      ( hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,last_A1673116455le_alt(X0)),set_Ar1033255471le_alt(hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X1),X0))))
      | ( nil_Ar1741995278le_alt = X0 ) ),
    inference(forward_subsumption_resolution,[],[f3677,f3286]) ).

tff(f3684,plain,
    ( ! [X0: arrow_931160158le_alt,X1: arrow_931160158le_alt] :
        ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(sF297,X0)),hAPP_A606737888t_bool(sF302,X1)))
        | ( a = X0 )
        | ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(sF297,X1)),sF300))
        | ~ sP0(X1,X0,sF300,c,a)
        | ( c = X1 ) )
    | ~ spl308_16 ),
    inference(superposition,[],[f3611,f3410]) ).

tff(f5760,plain,
    ( ! [X0: arrow_931160158le_alt] :
        ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,sF298),hAPP_A606737888t_bool(sF302,X0)))
        | ( a = c )
        | ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(sF297,X0)),sF300))
        | ~ sP0(X0,c,sF300,c,a)
        | ( c = X0 ) )
    | ~ spl308_16 ),
    inference(superposition,[],[f3684,f3402]) ).

tff(f5780,plain,
    ( ! [X0: arrow_931160158le_alt] :
        ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,sF298),hAPP_A606737888t_bool(sF302,X0)))
        | ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(sF297,X0)),sF300))
        | ~ sP0(X0,c,sF300,c,a)
        | ( c = X0 ) )
    | ~ spl308_16
    | spl308_18 ),
    inference(forward_subsumption_resolution,[],[f5760,f3547]) ).

tff(f5783,plain,
    ( ! [X0: arrow_931160158le_alt] :
        ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,sF298),hAPP_A606737888t_bool(sF302,X0)))
        | ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(sF297,X0)),sF300))
        | ( c = X0 ) )
    | ~ spl308_16
    | spl308_18 ),
    inference(forward_subsumption_resolution,[],[f5780,f3267]) ).

tff(f5786,plain,
    ( ! [X0: arrow_931160158le_alt] :
        ( ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(sF297,X0)),sF300))
        | hBOOL(hAPP_f429946033l_bool(sF299,hAPP_A606737888t_bool(sF302,X0)))
        | ( c = X0 ) )
    | ~ spl308_16
    | spl308_18 ),
    inference(forward_demodulation,[],[f5783,f3404]) ).

tff(f5793,plain,
    ( ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,sF305),sF300))
    | hBOOL(hAPP_f429946033l_bool(sF299,hAPP_A606737888t_bool(sF302,b)))
    | ( b = c )
    | ~ spl308_16
    | spl308_18 ),
    inference(superposition,[],[f5786,f3416]) ).

tff(f5808,plain,
    ( ~ hBOOL(hAPP_f429946033l_bool(sF306,sF300))
    | hBOOL(hAPP_f429946033l_bool(sF299,hAPP_A606737888t_bool(sF302,b)))
    | ( b = c )
    | ~ spl308_16
    | spl308_18 ),
    inference(forward_demodulation,[],[f5793,f3418]) ).

tff(f5809,plain,
    ( ~ hBOOL(sF307)
    | hBOOL(hAPP_f429946033l_bool(sF299,hAPP_A606737888t_bool(sF302,b)))
    | ( b = c )
    | ~ spl308_16
    | spl308_18 ),
    inference(forward_demodulation,[],[f5808,f3420]) ).

tff(f5810,plain,
    ( hBOOL(hAPP_f429946033l_bool(sF299,hAPP_A606737888t_bool(sF302,b)))
    | ( b = c )
    | ~ spl308_1
    | ~ spl308_16
    | spl308_18 ),
    inference(forward_subsumption_resolution,[],[f5809,f3432]) ).

tff(f5811,plain,
    ( hBOOL(hAPP_f429946033l_bool(sF299,sF303))
    | ( b = c )
    | ~ spl308_1
    | ~ spl308_16
    | spl308_18 ),
    inference(forward_demodulation,[],[f5810,f3412]) ).

tff(f5812,plain,
    ( hBOOL(sF304)
    | ( b = c )
    | ~ spl308_1
    | ~ spl308_16
    | spl308_18 ),
    inference(forward_demodulation,[],[f5811,f3414]) ).

tff(f5813,plain,
    ( ( b = c )
    | ~ spl308_1
    | spl308_2
    | ~ spl308_16
    | spl308_18 ),
    inference(forward_subsumption_resolution,[],[f5812,f3435]) ).

tff(f5814,plain,
    ( spl308_20
    | ~ spl308_1
    | spl308_2
    | ~ spl308_16
    | spl308_18 ),
    inference(avatar_split_clause,[],[f5813,f3546,f3505,f3434,f3430,f3628]) ).

tff(f5820,plain,
    ( ~ hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,a),set_Ar1033255471le_alt(hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,b),insert428884260le_alt(a,nil_Ar1741995278le_alt)))))
    | ~ spl308_18 ),
    inference(superposition,[],[f3566,f3548]) ).

tff(f6209,plain,
    ! [X0: arrow_931160158le_alt,X1: arrow_931160158le_alt] :
      ( hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,X0),set_Ar1033255471le_alt(hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X1),hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),nil_Ar1741995278le_alt)))))
      | ( nil_Ar1741995278le_alt = hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),nil_Ar1741995278le_alt) ) ),
    inference(superposition,[],[f3678,f3298]) ).

tff(f6210,plain,
    ! [X0: arrow_931160158le_alt] :
      ( hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,X0),set_Ar1033255471le_alt(hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),nil_Ar1741995278le_alt))))
      | ( nil_Ar1741995278le_alt = hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),nil_Ar1741995278le_alt) ) ),
    inference(superposition,[],[f2874,f3298]) ).

tff(f6211,plain,
    ! [X0: arrow_931160158le_alt] : hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,X0),set_Ar1033255471le_alt(hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),nil_Ar1741995278le_alt)))),
    inference(forward_subsumption_resolution,[],[f6210,f3286]) ).

tff(f6212,plain,
    ! [X0: arrow_931160158le_alt,X1: arrow_931160158le_alt] : hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,X0),set_Ar1033255471le_alt(hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X1),hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X0),nil_Ar1741995278le_alt))))),
    inference(forward_subsumption_resolution,[],[f6209,f3286]) ).

tff(f6213,plain,
    ! [X0: arrow_931160158le_alt] : hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,X0),set_Ar1033255471le_alt(insert428884260le_alt(X0,nil_Ar1741995278le_alt)))),
    inference(forward_demodulation,[],[f6211,f2358]) ).

tff(f6214,plain,
    ! [X0: arrow_931160158le_alt,X1: arrow_931160158le_alt] : hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,X0),set_Ar1033255471le_alt(hAPP_l2085326633le_alt(hAPP_A662984834le_alt(cons_A684544190le_alt,X1),insert428884260le_alt(X0,nil_Ar1741995278le_alt))))),
    inference(forward_demodulation,[],[f6212,f2358]) ).

tff(f6215,plain,
    ( $false
    | ~ spl308_18 ),
    inference(resolution,[],[f6214,f5820]) ).

tff(f6227,plain,
    ~ spl308_18,
    inference(avatar_contradiction_clause,[],[f6215]) ).

tff(f6295,plain,
    ( ~ hBOOL(hAPP_f939114932l_bool(hAPP_A449046541l_bool(member540164529le_alt,b),set_Ar1033255471le_alt(insert428884260le_alt(b,nil_Ar1741995278le_alt))))
    | ~ spl308_20 ),
    inference(superposition,[],[f3569,f3630]) ).

tff(f6296,plain,
    ( $false
    | ~ spl308_20 ),
    inference(forward_subsumption_resolution,[],[f6295,f6213]) ).

tff(f6297,plain,
    ~ spl308_20,
    inference(avatar_contradiction_clause,[],[f6296]) ).

cnf(s1,plain,
    ( spl308_1
    | spl308_2 ),
    inference(sat_conversion,[],[f3437]) ).

cnf(s2,plain,
    ( ~ spl308_1
    | ~ spl308_2 ),
    inference(sat_conversion,[],[f3438]) ).

cnf(s23,plain,
    spl308_16,
    inference(sat_conversion,[],[f3603]) ).

cnf(s26,plain,
    ( spl308_1
    | ~ spl308_2
    | ~ spl308_16
    | spl308_20 ),
    inference(sat_conversion,[],[f3643]) ).

cnf(s114,plain,
    ( ~ spl308_1
    | spl308_2
    | ~ spl308_16
    | spl308_18
    | spl308_20 ),
    inference(sat_conversion,[],[f5814]) ).

cnf(s116,plain,
    ~ spl308_18,
    inference(sat_conversion,[],[f6227]) ).

cnf(s119,plain,
    ~ spl308_20,
    inference(sat_conversion,[],[f6297]) ).

cnf(s121,plain,
    ( ~ spl308_1
    | spl308_2
    | ~ spl308_16 ),
    inference(rat,[],[s114,s119,s116]) ).

cnf(s171,plain,
    ( spl308_1
    | ~ spl308_2
    | ~ spl308_16 ),
    inference(rat,[],[s26,s119]) ).

cnf(s185,plain,
    spl308_1,
    inference(rat,[],[s1,s171,s23]) ).

cnf(s186,plain,
    spl308_2,
    inference(rat,[],[s121,s23,s185]) ).

cnf(s189,plain,
    $false,
    inference(rat,[],[s2,s186,s185]) ).

tff(f6301,plain,
    $false,
    inference(avatar_sat_refutation,[],[s189]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SCT170_2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40  % Computer : n004.cluster.edu
% 0.11/0.40  % Model    : x86_64 x86_64
% 0.11/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40  % Memory   : 8046.5625MB
% 0.11/0.40  % OS       : Linux 6.8.0-71-generic
% 0.11/0.40  % CPULimit : 300
% 0.11/0.40  % WCLimit  : 300
% 0.11/0.40  % DateTime : Sun Sep 27 23:55:07 UTC 2026
% 0.11/0.40  % CPUTime  : 
% 0.11/0.40  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.44  Running first-order theorem proving
% 0.11/0.44  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.00/2.63  % (4012662)Detected formulas, will run a generic FOF schedule.
% 12.00/2.63  % (4012672)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1271358034:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.00/2.63  % (4012672)Instruction limit reached! 
% 12.00/2.63  % (4012672)------------------------------
% 12.00/2.63  % (4012672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.63  % (4012672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.63  % (4012672)CaDiCaL version: 2.1.3
% 12.00/2.63  % (4012672)Termination reason: Instruction limit
% 12.00/2.63  % (4012672)Termination phase: Saturation
% 12.00/2.63  % (4012672)Time elapsed: 0.040 s
% 12.00/2.63  % (4012672)Peak memory usage: 91 MB
% 12.00/2.63  % (4012672)Instructions burned: 142 (million)
% 12.00/2.63  % (4012667)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3010825814:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.00/2.63  % (4012670)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3979477688:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.00/2.63  % (4012668)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=32201471:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.00/2.63  % (4012669)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2514824216:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.00/2.63  % (4012673)dis-21_1_sil=8000:lcm=predicate:random_seed=762838527:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 12.00/2.63  % (4012671)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1887384969:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.00/2.63  % (4012670)Refutation not found, incomplete strategy
% 12.00/2.63  % (4012670)------------------------------
% 12.00/2.63  % (4012670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.63  % (4012670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.63  % (4012670)CaDiCaL version: 2.1.3
% 12.00/2.63  % (4012670)Termination reason: Refutation not found, incomplete strategy
% 12.00/2.63  % (4012670)Time elapsed: 0.009 s
% 12.00/2.63  % (4012670)Peak memory usage: 90 MB
% 12.00/2.63  % (4012670)Instructions burned: 12 (million)
% 12.00/2.63  % (4012673)Instruction limit reached! 
% 12.00/2.63  % (4012673)------------------------------
% 12.00/2.63  % (4012673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.63  % (4012673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.63  % (4012673)CaDiCaL version: 2.1.3
% 12.00/2.63  % (4012673)Termination reason: Instruction limit
% 12.00/2.63  % (4012673)Termination phase: Saturation
% 12.00/2.63  % (4012673)Time elapsed: 0.063 s
% 12.00/2.63  % (4012673)Peak memory usage: 90 MB
% 12.00/2.63  % (4012673)Instructions burned: 130 (million)
% 12.00/2.63  % (4012671)Instruction limit reached! 
% 12.00/2.63  % (4012671)------------------------------
% 12.00/2.63  % (4012671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.63  % (4012671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.63  % (4012671)CaDiCaL version: 2.1.3
% 12.00/2.63  % (4012671)Termination reason: Instruction limit
% 12.00/2.63  % (4012671)Termination phase: Saturation
% 12.00/2.63  % (4012671)Time elapsed: 0.072 s
% 12.00/2.63  % (4012671)Peak memory usage: 90 MB
% 12.00/2.63  % (4012671)Instructions burned: 119 (million)
% 12.00/2.63  % (4012675)lrs+10_1_sil=8000:sp=occurrence:random_seed=1568717677:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.00/2.63  % (4012682)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2846318212:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.00/2.63  % (4012682)Refutation not found, incomplete strategy
% 12.00/2.63  % (4012682)------------------------------
% 12.00/2.63  % (4012682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.63  % (4012682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.63  % (4012682)CaDiCaL version: 2.1.3
% 12.00/2.63  % (4012682)Termination reason: Refutation not found, incomplete strategy
% 12.00/2.63  % (4012682)Time elapsed: 0.024 s
% 12.00/2.63  % (4012682)Peak memory usage: 90 MB
% 12.00/2.63  % (4012682)Instructions burned: 40 (million)
% 12.00/2.63  % (4012675)Instruction limit reached! 
% 12.00/2.63  % (4012675)------------------------------
% 12.00/2.63  % (4012675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.63  % (4012675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.63  % (4012675)CaDiCaL version: 2.1.3
% 12.00/2.63  % (4012675)Termination reason: Instruction limit
% 12.00/2.63  % (4012675)Termination phase: Saturation
% 12.00/2.63  % (4012675)Time elapsed: 0.129 s
% 12.00/2.63  % (4012675)Peak memory usage: 91 MB
% 12.00/2.63  % (4012675)Instructions burned: 286 (million)
% 12.00/2.63  % (4012683)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3855838138:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.00/2.63  % (4012670)------------------------------
% 12.00/2.63  % (4012670)------------------------------
% 12.00/2.63  % (4012687)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1794579567:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.00/2.63  % (4012688)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1676329748:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 12.00/2.63  % (4012688)Refutation not found, incomplete strategy
% 12.00/2.63  % (4012688)------------------------------
% 12.00/2.63  % (4012688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.63  % (4012688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.63  % (4012688)CaDiCaL version: 2.1.3
% 12.00/2.63  % (4012688)Termination reason: Refutation not found, incomplete strategy
% 12.00/2.63  % (4012688)Time elapsed: 0.011 s
% 12.00/2.63  % (4012688)Peak memory usage: 91 MB
% 12.00/2.63  % (4012688)Instructions burned: 33 (million)
% 12.00/2.63  % (4012683)Instruction limit reached! 
% 12.00/2.63  % (4012683)------------------------------
% 12.00/2.63  % (4012683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.63  % (4012683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.63  % (4012683)CaDiCaL version: 2.1.3
% 12.00/2.63  % (4012683)Termination reason: Instruction limit
% 12.00/2.63  % (4012683)Termination phase: Saturation
% 12.00/2.63  % (4012683)Time elapsed: 0.191 s
% 12.00/2.63  % (4012683)Peak memory usage: 92 MB
% 12.00/2.63  % (4012683)Instructions burned: 327 (million)
% 12.00/2.63  % (4012682)------------------------------
% 12.00/2.63  % (4012682)------------------------------
% 12.00/2.63  % (4012687)Instruction limit reached! 
% 12.00/2.63  % (4012687)------------------------------
% 12.00/2.63  % (4012687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.63  % (4012687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.63  % (4012687)CaDiCaL version: 2.1.3
% 12.00/2.63  % (4012687)Termination reason: Instruction limit
% 12.00/2.63  % (4012687)Termination phase: Saturation
% 12.00/2.63  % (4012687)Time elapsed: 0.138 s
% 12.00/2.63  % (4012687)Peak memory usage: 92 MB
% 12.00/2.63  % (4012687)Instructions burned: 250 (million)
% 12.00/2.63  % (4012688)------------------------------
% 12.00/2.63  % (4012688)------------------------------
% 12.00/2.63  % (4012691)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=230858143:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 12.00/2.63  % (4012692)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3337744917:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 12.00/2.63  % (4012693)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1020953263:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 12.00/2.63  % (4012692)Instruction limit reached! 
% 12.00/2.63  % (4012692)------------------------------
% 12.00/2.63  % (4012692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.63  % (4012692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.63  % (4012692)CaDiCaL version: 2.1.3
% 12.00/2.63  % (4012692)Termination reason: Instruction limit
% 12.00/2.63  % (4012692)Termination phase: Saturation
% 12.00/2.63  % (4012692)Time elapsed: 0.058 s
% 12.00/2.63  % (4012692)Peak memory usage: 91 MB
% 12.00/2.63  % (4012692)Instructions burned: 113 (million)
% 12.00/2.63  % (4012694)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1541537989:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 12.00/2.63  % (4012693)Instruction limit reached! 
% 12.00/2.63  % (4012693)------------------------------
% 12.00/2.63  % (4012693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.63  % (4012693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.63  % (4012693)CaDiCaL version: 2.1.3
% 12.00/2.63  % (4012693)Termination reason: Instruction limit
% 12.00/2.63  % (4012693)Termination phase: Saturation
% 12.00/2.63  % (4012693)Time elapsed: 0.057 s
% 12.00/2.63  % (4012693)Peak memory usage: 90 MB
% 12.00/2.63  % (4012693)Instructions burned: 127 (million)
% 12.00/2.63  % (4012694)Instruction limit reached! 
% 12.00/2.63  % (4012694)------------------------------
% 12.00/2.63  % (4012694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.63  % (4012694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.63  % (4012694)CaDiCaL version: 2.1.3
% 12.00/2.63  % (4012694)Termination reason: Instruction limit
% 12.00/2.63  % (4012694)Termination phase: Saturation
% 12.00/2.63  % (4012694)Time elapsed: 0.058 s
% 12.00/2.63  % (4012694)Peak memory usage: 90 MB
% 12.00/2.63  % (4012694)Instructions burned: 114 (million)
% 12.00/2.63  % (4012698)lrs+10_1_sil=8000:sp=occurrence:random_seed=2629065180:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 12.00/2.63  % (4012700)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3096987764:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 12.00/2.63  % (4012701)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3812605677:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 12.00/2.63  % (4012700)Instruction limit reached! 
% 12.00/2.63  % (4012700)------------------------------
% 12.00/2.63  % (4012700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.63  % (4012700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.63  % (4012700)CaDiCaL version: 2.1.3
% 12.00/2.63  % (4012700)Termination reason: Instruction limit
% 12.00/2.63  % (4012700)Termination phase: Saturation
% 12.00/2.63  % (4012700)Time elapsed: 0.242 s
% 12.00/2.63  % (4012700)Peak memory usage: 94 MB
% 12.00/2.63  % (4012700)Instructions burned: 438 (million)
% 12.00/2.63  % (4012667)First to succeed.
% 12.00/2.63  % (4012667)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4012662"
% 12.00/2.63  % (4012705)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3103486698:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 12.00/2.63  % (4012698)Instruction limit reached! 
% 12.00/2.63  % (4012698)------------------------------
% 12.00/2.63  % (4012698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.63  % (4012698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.63  % (4012698)CaDiCaL version: 2.1.3
% 12.00/2.63  % (4012698)Termination reason: Instruction limit
% 12.00/2.63  % (4012698)Termination phase: Saturation
% 12.00/2.63  % (4012698)Time elapsed: 0.517 s
% 12.00/2.63  % (4012698)Peak memory usage: 95 MB
% 12.00/2.63  % (4012698)Instructions burned: 907 (million)
% 12.00/2.63  % (4012705)Instruction limit reached! 
% 12.00/2.63  % (4012705)------------------------------
% 12.00/2.63  % (4012705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.63  % (4012705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.63  % (4012705)CaDiCaL version: 2.1.3
% 12.00/2.63  % (4012705)Termination reason: Instruction limit
% 12.00/2.63  % (4012705)Termination phase: Saturation
% 12.00/2.63  % (4012705)Time elapsed: 0.074 s
% 12.00/2.63  % (4012705)Peak memory usage: 92 MB
% 12.00/2.63  % (4012705)Instructions burned: 135 (million)
% 12.00/2.63  % (4012667)Refutation found. Thanks to Tanya!
% 12.00/2.63  % SZS status Theorem for theBenchmark
% 12.00/2.63  % SZS output start Proof for theBenchmark
% See solution above
% 12.58/2.83  % (4012667)------------------------------
% 12.58/2.83  % (4012667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.58/2.83  % (4012667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.83  % (4012667)CaDiCaL version: 2.1.3
% 12.58/2.83  % (4012667)Termination reason: Refutation
% 12.58/2.83  % (4012667)Time elapsed: 1.244 s
% 12.58/2.83  % (4012667)Peak memory usage: 153 MB
% 12.58/2.83  % (4012667)Instructions burned: 2089 (million)
% 12.58/2.83  % (4012667)------------------------------
% 12.58/2.83  % (4012667)------------------------------
% 12.58/2.83  % (4012662)Success in time 1.751 s
% 12.58/2.83  % Vampire exiting
%------------------------------------------------------------------------------