TSTP Solution File: SWW470_3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWW470_3 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:19:30 EDT 2022

% Result   : Theorem 8.06s 1.50s
% Output   : Refutation 8.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      : 1158
% Syntax   : Number of formulae    : 1183 (  24 unt;1149 typ;   0 def)
%            Number of atoms       :   76 (  13 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   67 (  25   ~;  18   |;  14   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of types       :  315 ( 314 usr)
%            Number of type conns  : 1222 ( 600   >; 622   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :  830 ( 830 usr; 235 con; 0-6 aty)
%            Number of variables   :  101 (  86   !;  15   ?; 101   :)

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

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

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

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

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

tff(type_def_10,type,
    hoare_2076525193iple_a: $tType ).

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

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

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

tff(type_def_14,type,
    fun_a_1632297036l_bool: $tType ).

tff(type_def_15,type,
    fun_a_998512028e_bool: $tType ).

tff(type_def_16,type,
    fun_a_340690546e_bool: $tType ).

tff(type_def_17,type,
    fun_a_2117018159e_bool: $tType ).

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

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

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

tff(type_def_21,type,
    fun_st1506752259e_bool: $tType ).

tff(type_def_22,type,
    fun_st1816159843_state: $tType ).

tff(type_def_23,type,
    fun_st2063251938l_bool: $tType ).

tff(type_def_24,type,
    fun_st2072884720_state: $tType ).

tff(type_def_25,type,
    fun_vn299216483_state: $tType ).

tff(type_def_26,type,
    fun_vn774578976_state: $tType ).

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

tff(type_def_28,type,
    fun_bo675861616e_bool: $tType ).

tff(type_def_29,type,
    fun_bo1936561970e_bool: $tType ).

tff(type_def_30,type,
    fun_bo1549164019l_bool: $tType ).

tff(type_def_31,type,
    fun_bo840878273a_bool: $tType ).

tff(type_def_32,type,
    fun_bo1829594782t_bool: $tType ).

tff(type_def_33,type,
    fun_bo1570548802t_bool: $tType ).

tff(type_def_34,type,
    fun_Ho882550911a_bool: $tType ).

tff(type_def_35,type,
    fun_Ho1518252029iple_a: $tType ).

tff(type_def_36,type,
    fun_Ho1026035802_a_int: $tType ).

tff(type_def_37,type,
    fun_Ho864122878_a_nat: $tType ).

tff(type_def_38,type,
    fun_Ho2037816211l_bool: $tType ).

tff(type_def_39,type,
    fun_Ho943022881a_bool: $tType ).

tff(type_def_40,type,
    fun_Ho483360497iple_a: $tType ).

tff(type_def_41,type,
    fun_Ho1608761598t_bool: $tType ).

tff(type_def_42,type,
    fun_Ho1977546161nt_int: $tType ).

tff(type_def_43,type,
    fun_Ho1488374613nt_nat: $tType ).

tff(type_def_44,type,
    fun_Ho1349715618t_bool: $tType ).

tff(type_def_45,type,
    fun_Ho1036508337at_nat: $tType ).

tff(type_def_46,type,
    fun_Ho1910759733l_bool: $tType ).

tff(type_def_47,type,
    fun_Ho112928087a_bool: $tType ).

tff(type_def_48,type,
    fun_Ho1634634433ol_nat: $tType ).

tff(type_def_49,type,
    fun_Ho1345928733ol_nat: $tType ).

tff(type_def_50,type,
    fun_Ho755902321at_nat: $tType ).

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

tff(type_def_52,type,
    fun_in1219646560iple_a: $tType ).

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

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

tff(type_def_55,type,
    fun_in531499254l_bool: $tType ).

tff(type_def_56,type,
    fun_in451447550a_bool: $tType ).

tff(type_def_57,type,
    fun_in990358449_a_int: $tType ).

tff(type_def_58,type,
    fun_in501186901_a_nat: $tType ).

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

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

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

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

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

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

tff(type_def_65,type,
    fun_in149899451ol_nat: $tType ).

tff(type_def_66,type,
    fun_in938817141l_bool: $tType ).

tff(type_def_67,type,
    fun_in1461553182ol_nat: $tType ).

tff(type_def_68,type,
    fun_in719570932t_bool: $tType ).

tff(type_def_69,type,
    fun_in1172847482ol_nat: $tType ).

tff(type_def_70,type,
    fun_in1791225684at_nat: $tType ).

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

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

tff(type_def_73,type,
    fun_na1240513468iple_a: $tType ).

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

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

tff(type_def_76,type,
    fun_na1469252690l_bool: $tType ).

tff(type_def_77,type,
    fun_na1758826658a_bool: $tType ).

tff(type_def_78,type,
    fun_na841142961_a_nat: $tType ).

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

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

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

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

tff(type_def_83,type,
    fun_na228779103ol_nat: $tType ).

tff(type_def_84,type,
    fun_na1588060912_a_nat: $tType ).

tff(type_def_85,type,
    fun_na1402637250ol_nat: $tType ).

tff(type_def_86,type,
    fun_na266550704nt_nat: $tType ).

tff(type_def_87,type,
    fun_na1436237685l_bool: $tType ).

tff(type_def_88,type,
    fun_na35521688t_bool: $tType ).

tff(type_def_89,type,
    fun_fu2118559873l_bool: $tType ).

tff(type_def_90,type,
    fun_fu278206227e_bool: $tType ).

tff(type_def_91,type,
    fun_fu1591723597e_bool: $tType ).

tff(type_def_92,type,
    fun_fu2008829792e_bool: $tType ).

tff(type_def_93,type,
    fun_fu222103665e_bool: $tType ).

tff(type_def_94,type,
    fun_fu1009378087e_bool: $tType ).

tff(type_def_95,type,
    fun_fu734682033e_bool: $tType ).

tff(type_def_96,type,
    fun_fu796809180e_bool: $tType ).

tff(type_def_97,type,
    fun_fu78956742e_bool: $tType ).

tff(type_def_98,type,
    fun_fu281355805e_bool: $tType ).

tff(type_def_99,type,
    fun_fu373216837e_bool: $tType ).

tff(type_def_100,type,
    fun_fu1658206819l_bool: $tType ).

tff(type_def_101,type,
    fun_fu2127278875e_bool: $tType ).

tff(type_def_102,type,
    fun_fu978939117_state: $tType ).

tff(type_def_103,type,
    fun_fu402792811e_bool: $tType ).

tff(type_def_104,type,
    fun_fu1067796093_state: $tType ).

tff(type_def_105,type,
    fun_fu1219323149e_bool: $tType ).

tff(type_def_106,type,
    fun_fu1047394976e_bool: $tType ).

tff(type_def_107,type,
    fun_fu227828410_state: $tType ).

tff(type_def_108,type,
    fun_fu88048803e_bool: $tType ).

tff(type_def_109,type,
    fun_fu372140353a_bool: $tType ).

tff(type_def_110,type,
    fun_fu1909738875t_bool: $tType ).

tff(type_def_111,type,
    fun_fu1509210819t_bool: $tType ).

tff(type_def_112,type,
    fun_fu1873708859l_bool: $tType ).

tff(type_def_113,type,
    fun_fu1022479645l_bool: $tType ).

tff(type_def_114,type,
    fun_fu531009635l_bool: $tType ).

tff(type_def_115,type,
    fun_fu1849968923l_bool: $tType ).

tff(type_def_116,type,
    fun_fu2026518849l_bool: $tType ).

tff(type_def_117,type,
    fun_fu253747899iple_a: $tType ).

tff(type_def_118,type,
    fun_fu490614552ol_int: $tType ).

tff(type_def_119,type,
    fun_fu328701628ol_nat: $tType ).

tff(type_def_120,type,
    fun_fu1663341283a_bool: $tType ).

tff(type_def_121,type,
    fun_fu1067550789l_bool: $tType ).

tff(type_def_122,type,
    fun_fu1725628421a_bool: $tType ).

tff(type_def_123,type,
    fun_fu662538351at_nat: $tType ).

tff(type_def_124,type,
    fun_fu1789210355l_bool: $tType ).

tff(type_def_125,type,
    fun_fu2051904533a_bool: $tType ).

tff(type_def_126,type,
    fun_fu2104275287l_bool: $tType ).

tff(type_def_127,type,
    fun_fu1040446391a_bool: $tType ).

tff(type_def_128,type,
    fun_fu1557526205_a_int: $tType ).

tff(type_def_129,type,
    fun_fu1733261297t_bool: $tType ).

tff(type_def_130,type,
    fun_fu1975973012nt_int: $tType ).

tff(type_def_131,type,
    fun_fu1327528203ol_int: $tType ).

tff(type_def_132,type,
    fun_fu1923493821_a_nat: $tType ).

tff(type_def_133,type,
    fun_fu1252406585t_bool: $tType ).

tff(type_def_134,type,
    fun_fu1300474096at_nat: $tType ).

tff(type_def_135,type,
    fun_fu1472438000_a_nat: $tType ).

tff(type_def_136,type,
    fun_fu827349075ol_nat: $tType ).

tff(type_def_137,type,
    fun_fu805217741a_bool: $tType ).

tff(type_def_138,type,
    fun_fu445247621a_bool: $tType ).

tff(type_def_139,type,
    fun_fu630820007a_bool: $tType ).

tff(type_def_140,type,
    fun_fu914297575a_bool: $tType ).

tff(type_def_141,type,
    fun_fu1381603133a_bool: $tType ).

tff(type_def_142,type,
    fun_fu1681956989a_bool: $tType ).

tff(type_def_143,type,
    fun_fu1682168189a_bool: $tType ).

tff(type_def_144,type,
    fun_fu602188273_a_nat: $tType ).

tff(type_def_145,type,
    fun_fu945366625t_bool: $tType ).

tff(type_def_146,type,
    fun_fu697888865a_bool: $tType ).

tff(type_def_147,type,
    fun_fu907920777_a_int: $tType ).

tff(type_def_148,type,
    fun_fu876640303ol_nat: $tType ).

tff(type_def_149,type,
    fun_fu1217459197_a_nat: $tType ).

tff(type_def_150,type,
    fun_fu197504845_a_nat: $tType ).

tff(type_def_151,type,
    fun_fu623690153t_bool: $tType ).

tff(type_def_152,type,
    fun_fu552225705a_bool: $tType ).

tff(type_def_153,type,
    fun_fu394467047ol_nat: $tType ).

tff(type_def_154,type,
    fun_fu2033973437at_nat: $tType ).

tff(type_def_155,type,
    fun_fu1305006333_a_nat: $tType ).

tff(type_def_156,type,
    fun_fu84072329_a_nat: $tType ).

tff(type_def_157,type,
    fun_fu1498271147a_bool: $tType ).

tff(type_def_158,type,
    fun_fu1585255851a_bool: $tType ).

tff(type_def_159,type,
    fun_fu1310697751_a_nat: $tType ).

tff(type_def_160,type,
    fun_fu1071091151_a_nat: $tType ).

tff(type_def_161,type,
    fun_fu728204273_a_nat: $tType ).

tff(type_def_162,type,
    fun_fu2109513853at_nat: $tType ).

tff(type_def_163,type,
    fun_fu819804446l_bool: $tType ).

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

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

tff(type_def_166,type,
    fun_fu554825757t_bool: $tType ).

tff(type_def_167,type,
    fun_fu610077323l_bool: $tType ).

tff(type_def_168,type,
    fun_fu380257692t_bool: $tType ).

tff(type_def_169,type,
    fun_fu2071915986at_nat: $tType ).

tff(type_def_170,type,
    fun_fu1151772339l_bool: $tType ).

tff(type_def_171,type,
    fun_fu1075512626t_bool: $tType ).

tff(type_def_172,type,
    fun_fu1284533364l_bool: $tType ).

tff(type_def_173,type,
    fun_fu1017053431a_bool: $tType ).

tff(type_def_174,type,
    fun_fu215647537t_bool: $tType ).

tff(type_def_175,type,
    fun_fu1814991441ol_int: $tType ).

tff(type_def_176,type,
    fun_fu1887272509at_int: $tType ).

tff(type_def_177,type,
    fun_fu130970841nt_int: $tType ).

tff(type_def_178,type,
    fun_fu1789282941nt_nat: $tType ).

tff(type_def_179,type,
    fun_fu1237756537t_bool: $tType ).

tff(type_def_180,type,
    fun_fu1420944304at_nat: $tType ).

tff(type_def_181,type,
    fun_fu330349488nt_nat: $tType ).

tff(type_def_182,type,
    fun_fu670292377ol_nat: $tType ).

tff(type_def_183,type,
    fun_fu587508068t_bool: $tType ).

tff(type_def_184,type,
    fun_fu713748577t_bool: $tType ).

tff(type_def_185,type,
    fun_fu728395988nt_nat: $tType ).

tff(type_def_186,type,
    fun_fu466270817a_bool: $tType ).

tff(type_def_187,type,
    fun_fu224004093nt_nat: $tType ).

tff(type_def_188,type,
    fun_fu2076872489ol_nat: $tType ).

tff(type_def_189,type,
    fun_fu1221449756t_bool: $tType ).

tff(type_def_190,type,
    fun_fu1396640951nt_nat: $tType ).

tff(type_def_191,type,
    fun_fu257678363t_bool: $tType ).

tff(type_def_192,type,
    fun_fu1881253066t_bool: $tType ).

tff(type_def_193,type,
    fun_fu405047601t_bool: $tType ).

tff(type_def_194,type,
    fun_fu1997740657t_bool: $tType ).

tff(type_def_195,type,
    fun_fu1576332145t_bool: $tType ).

tff(type_def_196,type,
    fun_fu1831640381nt_int: $tType ).

tff(type_def_197,type,
    fun_fu214894141nt_nat: $tType ).

tff(type_def_198,type,
    fun_fu1243635695ol_nat: $tType ).

tff(type_def_199,type,
    fun_fu1424009747nt_nat: $tType ).

tff(type_def_200,type,
    fun_fu401661795t_bool: $tType ).

tff(type_def_201,type,
    fun_fu1890060131t_bool: $tType ).

tff(type_def_202,type,
    fun_fu1416337063ol_nat: $tType ).

tff(type_def_203,type,
    fun_fu199354621at_nat: $tType ).

tff(type_def_204,type,
    fun_fu652796733nt_nat: $tType ).

tff(type_def_205,type,
    fun_fu1650807462nt_nat: $tType ).

tff(type_def_206,type,
    fun_fu2087062900nt_nat: $tType ).

tff(type_def_207,type,
    fun_fu1374874789t_bool: $tType ).

tff(type_def_208,type,
    fun_fu1989253562nt_nat: $tType ).

tff(type_def_209,type,
    fun_fu407119589t_bool: $tType ).

tff(type_def_210,type,
    fun_fu776947314nt_nat: $tType ).

tff(type_def_211,type,
    fun_fu591799985nt_nat: $tType ).

tff(type_def_212,type,
    fun_fu1218916157at_nat: $tType ).

tff(type_def_213,type,
    fun_fu425979586l_bool: $tType ).

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

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

tff(type_def_216,type,
    fun_fu219474671_a_nat: $tType ).

tff(type_def_217,type,
    fun_fu483878866nt_nat: $tType ).

tff(type_def_218,type,
    fun_fu821463397t_bool: $tType ).

tff(type_def_219,type,
    fun_fu2104074051l_bool: $tType ).

tff(type_def_220,type,
    fun_fu429110920t_bool: $tType ).

tff(type_def_221,type,
    fun_fu1217155507l_bool: $tType ).

tff(type_def_222,type,
    fun_fu915923926t_bool: $tType ).

tff(type_def_223,type,
    fun_fu1216549656l_bool: $tType ).

tff(type_def_224,type,
    fun_fu1525594615a_bool: $tType ).

tff(type_def_225,type,
    fun_fu2024564861at_int: $tType ).

tff(type_def_226,type,
    fun_fu1842665009t_bool: $tType ).

tff(type_def_227,type,
    fun_fu603924029nt_int: $tType ).

tff(type_def_228,type,
    fun_fu2134752009ol_int: $tType ).

tff(type_def_229,type,
    fun_fu300013553at_nat: $tType ).

tff(type_def_230,type,
    fun_fu1127110484at_nat: $tType ).

tff(type_def_231,type,
    fun_fu325663101at_nat: $tType ).

tff(type_def_232,type,
    fun_fu717290361t_bool: $tType ).

tff(type_def_233,type,
    fun_fu2064863920at_nat: $tType ).

tff(type_def_234,type,
    fun_fu1437424253_a_nat: $tType ).

tff(type_def_235,type,
    fun_fu773339453nt_nat: $tType ).

tff(type_def_236,type,
    fun_fu990052945ol_nat: $tType ).

tff(type_def_237,type,
    fun_fu1179887677at_nat: $tType ).

tff(type_def_238,type,
    fun_fu1901564496t_bool: $tType ).

tff(type_def_239,type,
    fun_fu1453083561t_bool: $tType ).

tff(type_def_240,type,
    fun_fu546267020at_nat: $tType ).

tff(type_def_241,type,
    fun_fu1381619113a_bool: $tType ).

tff(type_def_242,type,
    fun_fu1251828989at_nat: $tType ).

tff(type_def_243,type,
    fun_fu1428730409ol_nat: $tType ).

tff(type_def_244,type,
    fun_fu100665187t_bool: $tType ).

tff(type_def_245,type,
    fun_fu1553240943at_nat: $tType ).

tff(type_def_246,type,
    fun_fu1589063523t_bool: $tType ).

tff(type_def_247,type,
    fun_fu84751165at_nat: $tType ).

tff(type_def_248,type,
    fun_fu1544887023ol_nat: $tType ).

tff(type_def_249,type,
    fun_fu531872008t_bool: $tType ).

tff(type_def_250,type,
    fun_fu1733046955t_bool: $tType ).

tff(type_def_251,type,
    fun_fu2023981606t_bool: $tType ).

tff(type_def_252,type,
    fun_fu686268865t_bool: $tType ).

tff(type_def_253,type,
    fun_fu1109211905t_bool: $tType ).

tff(type_def_254,type,
    fun_fu687803393t_bool: $tType ).

tff(type_def_255,type,
    fun_fu522653757at_nat: $tType ).

tff(type_def_256,type,
    fun_fu927620157_a_nat: $tType ).

tff(type_def_257,type,
    fun_fu1086979837nt_nat: $tType ).

tff(type_def_258,type,
    fun_fu1755521597at_nat: $tType ).

tff(type_def_259,type,
    fun_fu1017488637at_nat: $tType ).

tff(type_def_260,type,
    fun_fu1382375754at_nat: $tType ).

tff(type_def_261,type,
    fun_fu1799328765at_nat: $tType ).

tff(type_def_262,type,
    fun_fu55165875at_nat: $tType ).

tff(type_def_263,type,
    fun_fu1446087120at_nat: $tType ).

tff(type_def_264,type,
    fun_fu1480131645_a_nat: $tType ).

tff(type_def_265,type,
    fun_fu1373519097at_nat: $tType ).

tff(type_def_266,type,
    fun_fu1081900566at_nat: $tType ).

tff(type_def_267,type,
    fun_fu1251161661nt_nat: $tType ).

tff(type_def_268,type,
    fun_fu80187629t_bool: $tType ).

tff(type_def_269,type,
    fun_fu1538037805t_bool: $tType ).

tff(type_def_270,type,
    fun_fu1340893257l_bool: $tType ).

tff(type_def_271,type,
    fun_fu817723125e_bool: $tType ).

tff(type_def_272,type,
    fun_fu1860059197e_bool: $tType ).

tff(type_def_273,type,
    fun_fu1631777789e_bool: $tType ).

tff(type_def_274,type,
    fun_fu1342882871l_bool: $tType ).

tff(type_def_275,type,
    fun_fu1819779801a_bool: $tType ).

tff(type_def_276,type,
    fun_fu1354972029l_bool: $tType ).

tff(type_def_277,type,
    fun_fu870629313a_bool: $tType ).

tff(type_def_278,type,
    fun_fu898837677at_nat: $tType ).

tff(type_def_279,type,
    fun_fu600978683a_bool: $tType ).

tff(type_def_280,type,
    fun_fu1912089667a_bool: $tType ).

tff(type_def_281,type,
    fun_fu1236051915l_bool: $tType ).

tff(type_def_282,type,
    fun_fu1595031695a_bool: $tType ).

tff(type_def_283,type,
    fun_fu743040865a_bool: $tType ).

tff(type_def_284,type,
    fun_fu1739618017ol_nat: $tType ).

tff(type_def_285,type,
    fun_fu774707681ol_nat: $tType ).

tff(type_def_286,type,
    fun_fu1540142484l_bool: $tType ).

tff(type_def_287,type,
    fun_fu1421432211t_bool: $tType ).

tff(type_def_288,type,
    fun_fu1070826941l_bool: $tType ).

tff(type_def_289,type,
    fun_fu1671602619t_bool: $tType ).

tff(type_def_290,type,
    fun_fu2017547765_a_nat: $tType ).

tff(type_def_291,type,
    fun_fu1795303867nt_nat: $tType ).

tff(type_def_292,type,
    fun_fu1888474227at_nat: $tType ).

tff(type_def_293,type,
    fun_fu763112513t_bool: $tType ).

tff(type_def_294,type,
    fun_fu1521371387t_bool: $tType ).

tff(type_def_295,type,
    fun_fu788822083t_bool: $tType ).

tff(type_def_296,type,
    fun_fu1276998475l_bool: $tType ).

tff(type_def_297,type,
    fun_fu680577737t_bool: $tType ).

tff(type_def_298,type,
    fun_fu873308769t_bool: $tType ).

tff(type_def_299,type,
    fun_fu651819309ol_nat: $tType ).

tff(type_def_300,type,
    fun_fu657063149ol_nat: $tType ).

tff(type_def_301,type,
    fun_fu342964205ol_nat: $tType ).

tff(type_def_302,type,
    fun_fu814369080l_bool: $tType ).

tff(type_def_303,type,
    fun_fu496092379t_bool: $tType ).

tff(type_def_304,type,
    fun_fu616551101l_bool: $tType ).

tff(type_def_305,type,
    fun_fu1402718723t_bool: $tType ).

tff(type_def_306,type,
    fun_fu1155082413_a_nat: $tType ).

tff(type_def_307,type,
    fun_fu523748467nt_nat: $tType ).

tff(type_def_308,type,
    fun_fu2137156673t_bool: $tType ).

tff(type_def_309,type,
    fun_fu719081723t_bool: $tType ).

tff(type_def_310,type,
    fun_fu820922699l_bool: $tType ).

tff(type_def_311,type,
    fun_fu257437713t_bool: $tType ).

tff(type_def_312,type,
    fun_fu1738364513t_bool: $tType ).

tff(type_def_313,type,
    fun_fu687095869_a_nat: $tType ).

tff(type_def_314,type,
    fun_fu504533053nt_nat: $tType ).

tff(type_def_315,type,
    fun_fu1838203037ol_nat: $tType ).

tff(type_def_316,type,
    fun_fu294108253ol_nat: $tType ).

tff(type_def_317,type,
    fun_fu477648637at_nat: $tType ).

tff(type_def_318,type,
    fun_fu633097021at_nat: $tType ).

tff(func_def_0,type,
    big_co1560107922_a_int: fun_fu1327528203ol_int ).

tff(func_def_1,type,
    big_co922834230_a_nat: fun_fu827349075ol_nat ).

tff(func_def_2,type,
    big_co230513141nt_int: fun_fu1814991441ol_int ).

tff(func_def_3,type,
    big_co1740723097nt_nat: fun_fu670292377ol_nat ).

tff(func_def_4,type,
    big_co1024481617at_int: fun_fu2134752009ol_int ).

tff(func_def_5,type,
    big_co387207925at_nat: fun_fu990052945ol_nat ).

tff(func_def_6,type,
    big_co2035489411_a_int: fun_Ho1026035802_a_int > fun_fu490614552ol_int ).

tff(func_def_7,type,
    big_co1398215719_a_nat: fun_Ho864122878_a_nat > fun_fu328701628ol_nat ).

tff(func_def_8,type,
    big_co1548731110nt_int: fun_int_int > fun_fun_int_bool_int ).

tff(func_def_9,type,
    big_co911457418nt_nat: fun_int_nat > fun_fun_int_bool_nat ).

tff(func_def_10,type,
    big_co195215938at_int: fun_nat_int > fun_fun_nat_bool_int ).

tff(func_def_11,type,
    big_co1705425894at_nat: fun_nat_nat > fun_fun_nat_bool_nat ).

tff(func_def_12,type,
    big_linorder_Max_int: fun_fun_int_bool_int ).

tff(func_def_13,type,
    big_linorder_Max_nat: fun_fun_nat_bool_nat ).

tff(func_def_14,type,
    big_linorder_Min_int: fun_fun_int_bool_int ).

tff(func_def_15,type,
    big_linorder_Min_nat: fun_fun_nat_bool_nat ).

tff(func_def_16,type,
    big_se82156639iple_a: ( fun_Ho483360497iple_a * fun_fu253747899iple_a ) > bool ).

tff(func_def_17,type,
    big_se913005884ig_int: ( fun_int_fun_int_int * fun_fun_int_bool_int ) > bool ).

tff(func_def_18,type,
    big_se275732192ig_nat: ( fun_nat_fun_nat_nat * fun_fun_nat_bool_nat ) > bool ).

tff(func_def_19,type,
    cOMBB_844853809_state: fun_fu2127278875e_bool ).

tff(func_def_20,type,
    cOMBB_160679318_state: fun_fu88048803e_bool ).

tff(func_def_21,type,
    cOMBB_361863589iple_a: fun_fu372140353a_bool ).

tff(func_def_22,type,
    cOMBB_bool_bool_int: fun_fu1909738875t_bool ).

tff(func_def_23,type,
    cOMBB_bool_bool_nat: fun_fu1509210819t_bool ).

tff(func_def_24,type,
    cOMBB_188601460_state: fun_fu1873708859l_bool ).

tff(func_def_25,type,
    cOMBB_345279363iple_a: fun_fu1022479645l_bool ).

tff(func_def_26,type,
    cOMBB_1652995168ol_int: fun_fu531009635l_bool ).

tff(func_def_27,type,
    cOMBB_1015721476ol_nat: fun_fu1849968923l_bool ).

tff(func_def_28,type,
    cOMBB_135702095iple_a: fun_fu1381603133a_bool ).

tff(func_def_29,type,
    cOMBB_952878892ol_int: fun_fu1681956989a_bool ).

tff(func_def_30,type,
    cOMBB_315605200ol_nat: fun_fu1682168189a_bool ).

tff(func_def_31,type,
    cOMBB_int_int_nat: fun_fu1887272509at_int ).

tff(func_def_32,type,
    cOMBB_2132063381iple_a: fun_fu405047601t_bool ).

tff(func_def_33,type,
    cOMBB_118231410ol_int: fun_fu1997740657t_bool ).

tff(func_def_34,type,
    cOMBB_1628441366ol_nat: fun_fu1576332145t_bool ).

tff(func_def_35,type,
    cOMBB_364359670iple_a: fun_fu1831640381nt_int ).

tff(func_def_36,type,
    cOMBB_nat_int_int: fun_fu603924029nt_int ).

tff(func_def_37,type,
    cOMBB_1877004557iple_a: fun_fu1437424253_a_nat ).

tff(func_def_38,type,
    cOMBB_nat_nat_int: fun_fu773339453nt_nat ).

tff(func_def_39,type,
    cOMBB_nat_nat_nat: fun_fu1179887677at_nat ).

tff(func_def_40,type,
    cOMBB_2017898829iple_a: fun_fu686268865t_bool ).

tff(func_def_41,type,
    cOMBB_1437810218ol_int: fun_fu1109211905t_bool ).

tff(func_def_42,type,
    cOMBB_800536526ol_nat: fun_fu687803393t_bool ).

tff(func_def_43,type,
    cOMBB_1416330906iple_a: fun_fu1755521597at_nat ).

tff(func_def_44,type,
    cOMBB_1601129847at_int: fun_fu1017488637at_nat ).

tff(func_def_45,type,
    cOMBB_963856155at_nat: fun_fu1799328765at_nat ).

tff(func_def_46,type,
    cOMBB_1355796797bool_a: fun_fu1340893257l_bool ).

tff(func_def_47,type,
    cOMBB_2139825703bool_a: fun_fu817723125e_bool ).

tff(func_def_48,type,
    cOMBB_1348041619bool_a: fun_fu1860059197e_bool ).

tff(func_def_49,type,
    cOMBB_145932198bool_a: fun_fu1631777789e_bool ).

tff(func_def_50,type,
    cOMBB_1676209667iple_a: fun_fu870629313a_bool ).

tff(func_def_51,type,
    cOMBB_605112827at_nat: fun_fu898837677at_nat ).

tff(func_def_52,type,
    cOMBB_1848875326ol_int: fun_fu600978683a_bool ).

tff(func_def_53,type,
    cOMBB_1211601634ol_nat: fun_fu1912089667a_bool ).

tff(func_def_54,type,
    cOMBB_2036667361iple_a: fun_fu743040865a_bool ).

tff(func_def_55,type,
    cOMBB_434376058at_int: fun_fu1739618017ol_nat ).

tff(func_def_56,type,
    cOMBB_1944586014at_nat: fun_fu774707681ol_nat ).

tff(func_def_57,type,
    cOMBB_1418110531ol_int: fun_fu1671602619t_bool ).

tff(func_def_58,type,
    cOMBB_1983399767iple_a: fun_fu2017547765_a_nat ).

tff(func_def_59,type,
    cOMBB_2018621492at_int: fun_fu1795303867nt_nat ).

tff(func_def_60,type,
    cOMBB_1381347800at_nat: fun_fu1888474227at_nat ).

tff(func_def_61,type,
    cOMBB_349652263iple_a: fun_fu763112513t_bool ).

tff(func_def_62,type,
    cOMBB_591320580ol_int: fun_fu1521371387t_bool ).

tff(func_def_63,type,
    cOMBB_2101530536ol_nat: fun_fu788822083t_bool ).

tff(func_def_64,type,
    cOMBB_765314529ol_int: fun_fu873308769t_bool ).

tff(func_def_65,type,
    cOMBB_1701789015iple_a: fun_fu651819309ol_nat ).

tff(func_def_66,type,
    cOMBB_2091167284at_int: fun_fu657063149ol_nat ).

tff(func_def_67,type,
    cOMBB_1453893592at_nat: fun_fu342964205ol_nat ).

tff(func_def_68,type,
    cOMBB_955900739ol_nat: fun_fu1402718723t_bool ).

tff(func_def_69,type,
    cOMBB_1733887227iple_a: fun_fu1155082413_a_nat ).

tff(func_def_70,type,
    cOMBB_1125113304at_int: fun_fu523748467nt_nat ).

tff(func_def_71,type,
    cOMBB_1063904223iple_a: fun_fu2137156673t_bool ).

tff(func_def_72,type,
    cOMBB_1746576572ol_int: fun_fu719081723t_bool ).

tff(func_def_73,type,
    cOMBB_1654519265ol_nat: fun_fu1738364513t_bool ).

tff(func_def_74,type,
    cOMBB_1353751246at_nat: fun_fu687095869_a_nat ).

tff(func_def_75,type,
    cOMBB_737513486at_nat: fun_fu504533053nt_nat ).

tff(func_def_76,type,
    cOMBB_636937375iple_a: fun_fu1838203037ol_nat ).

tff(func_def_77,type,
    cOMBB_1562322300at_int: fun_fu294108253ol_nat ).

tff(func_def_78,type,
    cOMBB_151870093iple_a: fun_fu477648637at_nat ).

tff(func_def_79,type,
    cOMBB_891709290at_int: fun_fu633097021at_nat ).

tff(func_def_80,type,
    cOMBC_41962815e_bool: fun_fu222103665e_bool ).

tff(func_def_81,type,
    cOMBC_524597097e_bool: fun_fu1009378087e_bool ).

tff(func_def_82,type,
    cOMBC_892787026e_bool: fun_fu734682033e_bool ).

tff(func_def_83,type,
    cOMBC_2027030106e_bool: fun_fu402792811e_bool ).

tff(func_def_84,type,
    cOMBC_1193272608_state: fun_fu1067796093_state ).

tff(func_def_85,type,
    cOMBC_231445413l_bool: fun_fu1219323149e_bool ).

tff(func_def_86,type,
    cOMBC_1047656090a_bool: fun_fu630820007a_bool ).

tff(func_def_87,type,
    cOMBC_1771170551t_bool: fun_fu697888865a_bool ).

tff(func_def_88,type,
    cOMBC_1149022448nt_nat: fun_fu1217459197_a_nat ).

tff(func_def_89,type,
    cOMBC_240829083t_bool: fun_fu552225705a_bool ).

tff(func_def_90,type,
    cOMBC_1942990924at_nat: fun_fu1305006333_a_nat ).

tff(func_def_91,type,
    cOMBC_1529670358l_bool: fun_fu1498271147a_bool ).

tff(func_def_92,type,
    cOMBC_175592824a_bool: fun_fu1585255851a_bool ).

tff(func_def_93,type,
    cOMBC_1664565648ol_nat: fun_fu728204273_a_nat ).

tff(func_def_94,type,
    cOMBC_340603916at_nat: fun_fu2109513853at_nat ).

tff(func_def_95,type,
    cOMBC_1135948669a_bool: fun_fu713748577t_bool ).

tff(func_def_96,type,
    cOMBC_1499522794_a_nat: fun_fu224004093nt_nat ).

tff(func_def_97,type,
    cOMBC_int_int_bool: fun_fu257678363t_bool ).

tff(func_def_98,type,
    cOMBC_int_int_nat: fun_fu214894141nt_nat ).

tff(func_def_99,type,
    cOMBC_int_nat_bool: fun_fu1890060131t_bool ).

tff(func_def_100,type,
    cOMBC_int_nat_nat: fun_fu652796733nt_nat ).

tff(func_def_101,type,
    cOMBC_94739984l_bool: fun_fu1374874789t_bool ).

tff(func_def_102,type,
    cOMBC_1683390479t_bool: fun_fu407119589t_bool ).

tff(func_def_103,type,
    cOMBC_462113011ol_nat: fun_fu591799985nt_nat ).

tff(func_def_104,type,
    cOMBC_1294079849at_nat: fun_fu1218916157at_nat ).

tff(func_def_105,type,
    cOMBC_2097822937a_bool: fun_fu1453083561t_bool ).

tff(func_def_106,type,
    cOMBC_23578254_a_nat: fun_fu1251828989at_nat ).

tff(func_def_107,type,
    cOMBC_nat_int_bool: fun_fu100665187t_bool ).

tff(func_def_108,type,
    cOMBC_nat_int_nat: fun_fu84751165at_nat ).

tff(func_def_109,type,
    cOMBC_nat_nat_bool: fun_fu1733046955t_bool ).

tff(func_def_110,type,
    cOMBC_nat_nat_nat: fun_fu522653757at_nat ).

tff(func_def_111,type,
    cOMBC_129115664ol_nat: fun_fu55165875at_nat ).

tff(func_def_112,type,
    cOMBC_130242509_a_nat: fun_fu1480131645_a_nat ).

tff(func_def_113,type,
    cOMBC_1505178355ol_nat: fun_fu1373519097at_nat ).

tff(func_def_114,type,
    cOMBC_1218031117nt_nat: fun_fu1251161661nt_nat ).

tff(func_def_115,type,
    cOMBC_226598744l_bool: fun_fu80187629t_bool ).

tff(func_def_116,type,
    cOMBC_178881787t_bool: fun_fu1538037805t_bool ).

tff(func_def_117,type,
    cOMBC_1515890438l_bool: fun_fu1236051915l_bool ).

tff(func_def_118,type,
    cOMBC_2005334440a_bool: fun_fu1595031695a_bool ).

tff(func_def_119,type,
    cOMBC_605892544l_bool: fun_fu1276998475l_bool ).

tff(func_def_120,type,
    cOMBC_922884543t_bool: fun_fu680577737t_bool ).

tff(func_def_121,type,
    cOMBC_1693257480l_bool: fun_fu820922699l_bool ).

tff(func_def_122,type,
    cOMBC_646315179t_bool: fun_fu257437713t_bool ).

tff(func_def_123,type,
    cOMBI_1928055558iple_a: fun_Ho1518252029iple_a ).

tff(func_def_124,type,
    cOMBI_int: fun_int_int ).

tff(func_def_125,type,
    cOMBI_nat: fun_nat_nat ).

tff(func_def_126,type,
    cOMBK_bool_state: fun_bo1936561970e_bool ).

tff(func_def_127,type,
    cOMBK_861658160iple_a: fun_bo840878273a_bool ).

tff(func_def_128,type,
    cOMBK_bool_int: fun_bo1829594782t_bool ).

tff(func_def_129,type,
    cOMBK_bool_nat: fun_bo1570548802t_bool ).

tff(func_def_130,type,
    cOMBK_788297294iple_a: fun_Ho483360497iple_a ).

tff(func_def_131,type,
    cOMBK_1633947825iple_a: fun_in990358449_a_int ).

tff(func_def_132,type,
    cOMBK_int_int: fun_int_fun_int_int ).

tff(func_def_133,type,
    cOMBK_int_nat: fun_int_fun_nat_int ).

tff(func_def_134,type,
    cOMBK_1654814733iple_a: fun_na841142961_a_nat ).

tff(func_def_135,type,
    cOMBK_nat_int: fun_nat_fun_int_nat ).

tff(func_def_136,type,
    cOMBK_nat_nat: fun_nat_fun_nat_nat ).

tff(func_def_137,type,
    cOMBK_1458035955bool_a: fun_fu281355805e_bool ).

tff(func_def_138,type,
    cOMBS_1378840469l_bool: fun_fu1047394976e_bool ).

tff(func_def_139,type,
    cOMBS_777315357_state: fun_fu227828410_state ).

tff(func_def_140,type,
    cOMBS_1108095524l_bool: fun_fu805217741a_bool ).

tff(func_def_141,type,
    cOMBS_728441660nt_int: fun_fu907920777_a_int ).

tff(func_def_142,type,
    cOMBS_885136444at_nat: fun_fu84072329_a_nat ).

tff(func_def_143,type,
    cOMBS_1838073924ol_nat: fun_fu1310697751_a_nat ).

tff(func_def_144,type,
    cOMBS_902588832ol_nat: fun_fu1071091151_a_nat ).

tff(func_def_145,type,
    cOMBS_int_bool_bool: fun_fu587508068t_bool ).

tff(func_def_146,type,
    cOMBS_int_nat_nat: fun_fu1650807462nt_nat ).

tff(func_def_147,type,
    cOMBS_443177668ol_nat: fun_fu2087062900nt_nat ).

tff(func_def_148,type,
    cOMBS_1999073191ol_nat: fun_fu1989253562nt_nat ).

tff(func_def_149,type,
    cOMBS_1063588099ol_nat: fun_fu776947314nt_nat ).

tff(func_def_150,type,
    cOMBS_nat_bool_bool: fun_fu1901564496t_bool ).

tff(func_def_151,type,
    cOMBS_nat_nat_nat: fun_fu1382375754at_nat ).

tff(func_def_152,type,
    cOMBS_1514622496ol_nat: fun_fu1446087120at_nat ).

tff(func_def_153,type,
    cOMBS_2106653443ol_nat: fun_fu1081900566at_nat ).

tff(func_def_154,type,
    ass: ( vname * fun_state_nat ) > com ).

tff(func_def_155,type,
    skip: com ).

tff(func_def_156,type,
    semi: ( com * com ) > com ).

tff(func_def_157,type,
    finite_card_int: fun_fun_int_bool_nat ).

tff(func_def_158,type,
    finite_card_nat: fun_fun_nat_bool_nat ).

tff(func_def_159,type,
    finite164030737iple_a: fun_Ho483360497iple_a > bool ).

tff(func_def_160,type,
    finite1617795063a_bool: fun_Ho112928087a_bool > bool ).

tff(func_def_161,type,
    finite1973466193nt_int: fun_int_fun_int_int > bool ).

tff(func_def_162,type,
    finite1321096241t_bool: fun_in719570932t_bool > bool ).

tff(func_def_163,type,
    finite2130160977at_nat: fun_nat_fun_nat_nat > bool ).

tff(func_def_164,type,
    finite1071749497t_bool: fun_na35521688t_bool > bool ).

tff(func_def_165,type,
    finite1532229644iple_a: fun_Ho483360497iple_a > bool ).

tff(func_def_166,type,
    finite1306023740a_bool: fun_Ho112928087a_bool > bool ).

tff(func_def_167,type,
    finite1704255308nt_int: fun_int_fun_int_int > bool ).

tff(func_def_168,type,
    finite58652534t_bool: fun_in719570932t_bool > bool ).

tff(func_def_169,type,
    finite1860950092at_nat: fun_nat_fun_nat_nat > bool ).

tff(func_def_170,type,
    finite1956789438t_bool: fun_na35521688t_bool > bool ).

tff(func_def_171,type,
    finite217552220iple_a: fun_fu2026518849l_bool ).

tff(func_def_172,type,
    finite_finite_int: fun_fu819804446l_bool ).

tff(func_def_173,type,
    finite_finite_nat: fun_fu425979586l_bool ).

tff(func_def_174,type,
    finite1832883692a_bool: fun_fu1342882871l_bool ).

tff(func_def_175,type,
    finite1395289673t_bool: fun_fu1540142484l_bool ).

tff(func_def_176,type,
    finite2012431853t_bool: fun_fu814369080l_bool ).

tff(func_def_177,type,
    finite100168025iple_a: ( fun_Ho483360497iple_a * fun_Ho882550911a_bool ) > fun_Ho882550911a_bool ).

tff(func_def_178,type,
    finite_fold1Set_int: ( fun_int_fun_int_int * fun_int_bool ) > fun_int_bool ).

tff(func_def_179,type,
    finite_fold1Set_nat: ( fun_nat_fun_nat_nat * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_180,type,
    finite2092228073iple_a: fun_Ho483360497iple_a > fun_fu253747899iple_a ).

tff(func_def_181,type,
    finite_fold1_int: fun_int_fun_int_int > fun_fun_int_bool_int ).

tff(func_def_182,type,
    finite_fold1_nat: fun_nat_fun_nat_nat > fun_fun_nat_bool_nat ).

tff(func_def_183,type,
    finite2089344904iple_a: ( fun_Ho483360497iple_a * hoare_2076525193iple_a ) > fun_fu253747899iple_a ).

tff(func_def_184,type,
    finite718386368a_bool: ( fun_Ho112928087a_bool * fun_Ho882550911a_bool ) > fun_fu1663341283a_bool ).

tff(func_def_185,type,
    finite_fold_int_int: ( fun_int_fun_int_int * int ) > fun_fun_int_bool_int ).

tff(func_def_186,type,
    finite1827710202t_bool: ( fun_in719570932t_bool * fun_int_bool ) > fun_fu554825757t_bool ).

tff(func_def_187,type,
    finite_fold_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_fun_nat_bool_nat ).

tff(func_def_188,type,
    finite1578363458t_bool: ( fun_na35521688t_bool * fun_nat_bool ) > fun_fu821463397t_bool ).

tff(func_def_189,type,
    finite974267142iple_a: fun_Ho483360497iple_a > fun_Ho112928087a_bool ).

tff(func_def_190,type,
    finite655745986a_bool: fun_Ho112928087a_bool > fun_fu2104275287l_bool ).

tff(func_def_191,type,
    finite772772422nt_int: fun_int_fun_int_int > fun_in719570932t_bool ).

tff(func_def_192,type,
    finite1008073724t_bool: fun_in719570932t_bool > fun_fu1284533364l_bool ).

tff(func_def_193,type,
    finite929467206at_nat: fun_nat_fun_nat_nat > fun_na35521688t_bool ).

tff(func_def_194,type,
    finite758726980t_bool: fun_na35521688t_bool > fun_fu1216549656l_bool ).

tff(func_def_195,type,
    finite232328454iple_a: ( fun_Ho483360497iple_a * fun_fu253747899iple_a ) > bool ).

tff(func_def_196,type,
    finite1626084323ne_int: ( fun_int_fun_int_int * fun_fun_int_bool_int ) > bool ).

tff(func_def_197,type,
    finite988810631ne_nat: ( fun_nat_fun_nat_nat * fun_fun_nat_bool_nat ) > bool ).

tff(func_def_198,type,
    finite1659845635iple_a: ( fun_Ho483360497iple_a * fun_fu253747899iple_a ) > bool ).

tff(func_def_199,type,
    finite1432773856em_int: ( fun_int_fun_int_int * fun_fun_int_bool_int ) > bool ).

tff(func_def_200,type,
    finite795500164em_nat: ( fun_nat_fun_nat_nat * fun_fun_nat_bool_nat ) > bool ).

tff(func_def_201,type,
    minus_minus_bool: fun_bo1549164019l_bool ).

tff(func_def_202,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_203,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_204,type,
    minus_1649626414a_bool: fun_fu2051904533a_bool ).

tff(func_def_205,type,
    minus_1449998731t_bool: fun_fu1075512626t_bool ).

tff(func_def_206,type,
    minus_2067140911t_bool: fun_fu915923926t_bool ).

tff(func_def_207,type,
    one_one_int: int ).

tff(func_def_208,type,
    one_one_nat: nat ).

tff(func_def_209,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_210,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_211,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_212,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_213,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_214,type,
    zero_zero_int: int ).

tff(func_def_215,type,
    zero_zero_nat: nat ).

tff(func_def_216,type,
    the_Ho1456473914iple_a: fun_fu253747899iple_a ).

tff(func_def_217,type,
    the_int: fun_fun_int_bool_int ).

tff(func_def_218,type,
    the_nat: fun_fun_nat_bool_nat ).

tff(func_def_219,type,
    the_fu972267150a_bool: fun_fu1819779801a_bool ).

tff(func_def_220,type,
    the_fun_int_bool: fun_fu1421432211t_bool ).

tff(func_def_221,type,
    the_fun_nat_bool: fun_fu496092379t_bool ).

tff(func_def_222,type,
    hoare_572465367rivs_a: fun_Ho882550911a_bool > fun_fu2026518849l_bool ).

tff(func_def_223,type,
    hoare_1876769875iple_a: ( fun_a_fun_state_bool * com * fun_a_fun_state_bool ) > hoare_2076525193iple_a ).

tff(func_def_224,type,
    if_nat: bool > fun_nat_fun_nat_nat ).

tff(func_def_225,type,
    semiri1621563631at_int: fun_nat_int ).

tff(func_def_226,type,
    update: fun_st1816159843_state ).

tff(func_def_227,type,
    bot_bot_bool: bool ).

tff(func_def_228,type,
    bot_bot_nat: nat ).

tff(func_def_229,type,
    bot_bo214064617a_bool: fun_Ho882550911a_bool ).

tff(func_def_230,type,
    bot_bot_fun_int_bool: fun_int_bool ).

tff(func_def_231,type,
    bot_bot_fun_nat_bool: fun_nat_bool ).

tff(func_def_232,type,
    ord_less_int: fun_int_fun_int_bool ).

tff(func_def_233,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(func_def_234,type,
    ord_le1912455174t_bool: fun_fu1151772339l_bool ).

tff(func_def_235,type,
    ord_le382113706t_bool: fun_fu1217155507l_bool ).

tff(func_def_236,type,
    ord_less_eq_bool: fun_bo1549164019l_bool ).

tff(func_def_237,type,
    ord_less_eq_int: fun_int_fun_int_bool ).

tff(func_def_238,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

tff(func_def_239,type,
    ord_le940607413a_bool: fun_fu1789210355l_bool ).

tff(func_def_240,type,
    ord_le951220754t_bool: fun_fu1151772339l_bool ).

tff(func_def_241,type,
    ord_le1568362934t_bool: fun_fu1217155507l_bool ).

tff(func_def_242,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_243,type,
    ord_min_int: fun_int_fun_int_int ).

tff(func_def_244,type,
    ord_min_nat: fun_nat_fun_nat_nat ).

tff(func_def_245,type,
    partia428461311iple_a: hoare_2076525193iple_a > fun_fu253747899iple_a ).

tff(func_def_246,type,
    partial_flat_lub_int: int > fun_fun_int_bool_int ).

tff(func_def_247,type,
    partial_flat_lub_nat: nat > fun_fun_nat_bool_nat ).

tff(func_def_248,type,
    power_power_int: fun_int_fun_nat_int ).

tff(func_def_249,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_250,type,
    ord_at875362053st_int: int > fun_int_fun_int_bool ).

tff(func_def_251,type,
    ord_at238088361st_nat: nat > fun_nat_fun_nat_bool ).

tff(func_def_252,type,
    ord_gr375877188st_nat: nat > fun_nat_fun_nat_bool ).

tff(func_def_253,type,
    ord_lessThan_int: fun_int_fun_int_bool ).

tff(func_def_254,type,
    ord_lessThan_nat: fun_nat_fun_nat_bool ).

tff(func_def_255,type,
    collec977865374iple_a: fun_fu1663341283a_bool ).

tff(func_def_256,type,
    collect_int: fun_fu554825757t_bool ).

tff(func_def_257,type,
    collect_nat: fun_fu821463397t_bool ).

tff(func_def_258,type,
    collec416005674a_bool: fun_fu1354972029l_bool ).

tff(func_def_259,type,
    collect_fun_int_bool: fun_fu1070826941l_bool ).

tff(func_def_260,type,
    collect_fun_nat_bool: fun_fu616551101l_bool ).

tff(func_def_261,type,
    image_1416816325iple_a: ( fun_Ho1518252029iple_a * fun_Ho882550911a_bool ) > fun_Ho882550911a_bool ).

tff(func_def_262,type,
    image_268182434_a_int: ( fun_Ho1026035802_a_int * fun_Ho882550911a_bool ) > fun_int_bool ).

tff(func_def_263,type,
    image_1778392390_a_nat: ( fun_Ho864122878_a_nat * fun_Ho882550911a_bool ) > fun_nat_bool ).

tff(func_def_264,type,
    image_323610408iple_a: ( fun_in1219646560iple_a * fun_int_bool ) > fun_Ho882550911a_bool ).

tff(func_def_265,type,
    image_int_int: ( fun_int_int * fun_int_bool ) > fun_int_bool ).

tff(func_def_266,type,
    image_int_nat: ( fun_int_nat * fun_int_bool ) > fun_nat_bool ).

tff(func_def_267,type,
    image_344477316iple_a: ( fun_na1240513468iple_a * fun_nat_bool ) > fun_Ho882550911a_bool ).

tff(func_def_268,type,
    image_nat_int: ( fun_nat_int * fun_nat_bool ) > fun_int_bool ).

tff(func_def_269,type,
    image_nat_nat: ( fun_nat_nat * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_270,type,
    insert1582918915iple_a: fun_Ho112928087a_bool ).

tff(func_def_271,type,
    insert_int: fun_in719570932t_bool ).

tff(func_def_272,type,
    insert_nat: fun_na35521688t_bool ).

tff(func_def_273,type,
    the_el2146174248iple_a: fun_fu253747899iple_a ).

tff(func_def_274,type,
    the_elem_int: fun_fun_int_bool_int ).

tff(func_def_275,type,
    the_elem_nat: fun_fun_nat_bool_nat ).

tff(func_def_276,type,
    fFalse: bool ).

tff(func_def_277,type,
    fNot: fun_bool_bool ).

tff(func_def_278,type,
    fTrue: bool ).

tff(func_def_279,type,
    fconj: fun_bo1549164019l_bool ).

tff(func_def_280,type,
    fdisj: fun_bo1549164019l_bool ).

tff(func_def_281,type,
    fequal_state: fun_st1506752259e_bool ).

tff(func_def_282,type,
    fequal1589671816iple_a: fun_Ho943022881a_bool ).

tff(func_def_283,type,
    fequal_int: fun_int_fun_int_bool ).

tff(func_def_284,type,
    fequal_nat: fun_nat_fun_nat_bool ).

tff(func_def_285,type,
    fequal291249344a_bool: fun_fu1789210355l_bool ).

tff(func_def_286,type,
    fequal_fun_int_bool: fun_fu1151772339l_bool ).

tff(func_def_287,type,
    fequal_fun_nat_bool: fun_fu1217155507l_bool ).

tff(func_def_288,type,
    fimplies: fun_bo1549164019l_bool ).

tff(func_def_289,type,
    hAPP_a2036067514e_bool: ( fun_a_fun_state_bool * x_a ) > fun_state_bool ).

tff(func_def_290,type,
    hAPP_a849909144l_bool: ( fun_a_1632297036l_bool * x_a ) > fun_st2063251938l_bool ).

tff(func_def_291,type,
    hAPP_a723219176e_bool: ( fun_a_998512028e_bool * x_a ) > fun_bo1936561970e_bool ).

tff(func_def_292,type,
    hAPP_a1224971408e_bool: ( fun_a_340690546e_bool * x_a ) > fun_fu78956742e_bool ).

tff(func_def_293,type,
    hAPP_a1200519163e_bool: ( fun_a_2117018159e_bool * x_a ) > fun_fu373216837e_bool ).

tff(func_def_294,type,
    hAPP_state_state: ( fun_state_state * state ) > state ).

tff(func_def_295,type,
    hAPP_state_bool: ( fun_state_bool * state ) > bool ).

tff(func_def_296,type,
    hAPP_state_nat: ( fun_state_nat * state ) > nat ).

tff(func_def_297,type,
    hAPP_s1806633685e_bool: ( fun_st1506752259e_bool * state ) > fun_state_bool ).

tff(func_def_298,type,
    hAPP_s712361723_state: ( fun_st1816159843_state * state ) > fun_vn774578976_state ).

tff(func_def_299,type,
    hAPP_s58564346l_bool: ( fun_st2063251938l_bool * state ) > fun_bool_bool ).

tff(func_def_300,type,
    hAPP_s1892499976_state: ( fun_st2072884720_state * state ) > fun_nat_state ).

tff(func_def_301,type,
    hAPP_v365393659_state: ( fun_vn299216483_state * vname ) > fun_st2072884720_state ).

tff(func_def_302,type,
    hAPP_v594194232_state: ( fun_vn774578976_state * vname ) > fun_nat_state ).

tff(func_def_303,type,
    hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_304,type,
    hAPP_b540892988e_bool: ( fun_bo675861616e_bool * bool ) > fun_a_fun_state_bool ).

tff(func_def_305,type,
    hAPP_b2019457360e_bool: ( fun_bo1936561970e_bool * bool ) > fun_state_bool ).

tff(func_def_306,type,
    hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).

tff(func_def_307,type,
    hAPP_b1299643615a_bool: ( fun_bo840878273a_bool * bool ) > fun_Ho882550911a_bool ).

tff(func_def_308,type,
    hAPP_b396694332t_bool: ( fun_bo1829594782t_bool * bool ) > fun_int_bool ).

tff(func_def_309,type,
    hAPP_b1013836512t_bool: ( fun_bo1570548802t_bool * bool ) > fun_nat_bool ).

tff(func_def_310,type,
    hAPP_H454055633a_bool: ( fun_Ho882550911a_bool * hoare_2076525193iple_a ) > bool ).

tff(func_def_311,type,
    hAPP_H1789220885iple_a: ( fun_Ho1518252029iple_a * hoare_2076525193iple_a ) > hoare_2076525193iple_a ).

tff(func_def_312,type,
    hAPP_H811578610_a_int: ( fun_Ho1026035802_a_int * hoare_2076525193iple_a ) > int ).

tff(func_def_313,type,
    hAPP_H174304918_a_nat: ( fun_Ho864122878_a_nat * hoare_2076525193iple_a ) > nat ).

tff(func_def_314,type,
    hAPP_H421140395l_bool: ( fun_Ho2037816211l_bool * hoare_2076525193iple_a ) > fun_bool_bool ).

tff(func_def_315,type,
    hAPP_H2077279219a_bool: ( fun_Ho943022881a_bool * hoare_2076525193iple_a ) > fun_Ho882550911a_bool ).

tff(func_def_316,type,
    hAPP_H1417936777iple_a: ( fun_Ho483360497iple_a * hoare_2076525193iple_a ) > fun_Ho1518252029iple_a ).

tff(func_def_317,type,
    hAPP_H287744592t_bool: ( fun_Ho1608761598t_bool * hoare_2076525193iple_a ) > fun_int_bool ).

tff(func_def_318,type,
    hAPP_H1936429641nt_int: ( fun_Ho1977546161nt_int * hoare_2076525193iple_a ) > fun_int_int ).

tff(func_def_319,type,
    hAPP_H1774516717nt_nat: ( fun_Ho1488374613nt_nat * hoare_2076525193iple_a ) > fun_int_nat ).

tff(func_def_320,type,
    hAPP_H904886772t_bool: ( fun_Ho1349715618t_bool * hoare_2076525193iple_a ) > fun_nat_bool ).

tff(func_def_321,type,
    hAPP_H421001545at_nat: ( fun_Ho1036508337at_nat * hoare_2076525193iple_a ) > fun_nat_nat ).

tff(func_def_322,type,
    hAPP_H1566092493l_bool: ( fun_Ho1910759733l_bool * hoare_2076525193iple_a ) > fun_fu2026518849l_bool ).

tff(func_def_323,type,
    hAPP_H1940471919a_bool: ( fun_Ho112928087a_bool * hoare_2076525193iple_a ) > fun_fu1663341283a_bool ).

tff(func_def_324,type,
    hAPP_H906838291ol_nat: ( fun_Ho1634634433ol_nat * hoare_2076525193iple_a ) > fun_fun_int_bool_nat ).

tff(func_def_325,type,
    hAPP_H2118836847ol_nat: ( fun_Ho1345928733ol_nat * hoare_2076525193iple_a ) > fun_fun_nat_bool_nat ).

tff(func_def_326,type,
    hAPP_H1504435465at_nat: ( fun_Ho755902321at_nat * hoare_2076525193iple_a ) > fun_fu325663101at_nat ).

tff(func_def_327,type,
    hAPP_int_bool: ( fun_int_bool * int ) > bool ).

tff(func_def_328,type,
    hAPP_i867006584iple_a: ( fun_in1219646560iple_a * int ) > hoare_2076525193iple_a ).

tff(func_def_329,type,
    hAPP_int_int: ( fun_int_int * int ) > int ).

tff(func_def_330,type,
    hAPP_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_331,type,
    hAPP_i68813070l_bool: ( fun_in531499254l_bool * int ) > fun_bool_bool ).

tff(func_def_332,type,
    hAPP_i28602320a_bool: ( fun_in451447550a_bool * int ) > fun_Ho882550911a_bool ).

tff(func_def_333,type,
    hAPP_i1058170057_a_int: ( fun_in990358449_a_int * int ) > fun_Ho1026035802_a_int ).

tff(func_def_334,type,
    hAPP_i896257133_a_nat: ( fun_in501186901_a_nat * int ) > fun_Ho864122878_a_nat ).

tff(func_def_335,type,
    hAPP_i1948725293t_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).

tff(func_def_336,type,
    hAPP_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_337,type,
    hAPP_int_fun_int_nat: ( fun_int_fun_int_nat * int ) > fun_int_nat ).

tff(func_def_338,type,
    hAPP_i418383825t_bool: ( fun_int_fun_nat_bool * int ) > fun_nat_bool ).

tff(func_def_339,type,
    hAPP_int_fun_nat_int: ( fun_int_fun_nat_int * int ) > fun_nat_int ).

tff(func_def_340,type,
    hAPP_int_fun_nat_nat: ( fun_int_fun_nat_nat * int ) > fun_nat_nat ).

tff(func_def_341,type,
    hAPP_i291839885ol_nat: ( fun_in149899451ol_nat * int ) > fun_fu328701628ol_nat ).

tff(func_def_342,type,
    hAPP_i2112223885l_bool: ( fun_in938817141l_bool * int ) > fun_fu819804446l_bool ).

tff(func_def_343,type,
    hAPP_i318423664ol_nat: ( fun_in1461553182ol_nat * int ) > fun_fun_int_bool_nat ).

tff(func_def_344,type,
    hAPP_i1529485324t_bool: ( fun_in719570932t_bool * int ) > fun_fu554825757t_bool ).

tff(func_def_345,type,
    hAPP_i1530422220ol_nat: ( fun_in1172847482ol_nat * int ) > fun_fun_nat_bool_nat ).

tff(func_def_346,type,
    hAPP_i1876697324at_nat: ( fun_in1791225684at_nat * int ) > fun_fu325663101at_nat ).

tff(func_def_347,type,
    hAPP_nat_state: ( fun_nat_state * nat ) > state ).

tff(func_def_348,type,
    hAPP_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(func_def_349,type,
    hAPP_n887873492iple_a: ( fun_na1240513468iple_a * nat ) > hoare_2076525193iple_a ).

tff(func_def_350,type,
    hAPP_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_351,type,
    hAPP_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_352,type,
    hAPP_n1006566506l_bool: ( fun_na1469252690l_bool * nat ) > fun_bool_bool ).

tff(func_def_353,type,
    hAPP_n1335981428a_bool: ( fun_na1758826658a_bool * nat ) > fun_Ho882550911a_bool ).

tff(func_def_354,type,
    hAPP_n1236213193_a_nat: ( fun_na841142961_a_nat * nat ) > fun_Ho864122878_a_nat ).

tff(func_def_355,type,
    hAPP_n1082236369t_bool: ( fun_nat_fun_int_bool * nat ) > fun_int_bool ).

tff(func_def_356,type,
    hAPP_nat_fun_int_nat: ( fun_nat_fun_int_nat * nat ) > fun_int_nat ).

tff(func_def_357,type,
    hAPP_n1699378549t_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_358,type,
    hAPP_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_359,type,
    hAPP_n370719537ol_nat: ( fun_na228779103ol_nat * nat ) > fun_fu328701628ol_nat ).

tff(func_def_360,type,
    hAPP_n226523272_a_nat: ( fun_na1588060912_a_nat * nat ) > fun_fu1923493821_a_nat ).

tff(func_def_361,type,
    hAPP_n259507732ol_nat: ( fun_na1402637250ol_nat * nat ) > fun_fun_int_bool_nat ).

tff(func_def_362,type,
    hAPP_n74706760nt_nat: ( fun_na266550704nt_nat * nat ) > fun_fu1789282941nt_nat ).

tff(func_def_363,type,
    hAPP_n215258509l_bool: ( fun_na1436237685l_bool * nat ) > fun_fu425979586l_bool ).

tff(func_def_364,type,
    hAPP_n1512601776t_bool: ( fun_na35521688t_bool * nat ) > fun_fu821463397t_bool ).

tff(func_def_365,type,
    hAPP_f1509969235l_bool: ( fun_fu2118559873l_bool * fun_a_fun_state_bool ) > fun_a_1632297036l_bool ).

tff(func_def_366,type,
    hAPP_f1406200875e_bool: ( fun_fu278206227e_bool * fun_a_fun_state_bool ) > fun_a_340690546e_bool ).

tff(func_def_367,type,
    hAPP_f340725611e_bool: ( fun_fu1591723597e_bool * fun_a_1632297036l_bool ) > fun_a_998512028e_bool ).

tff(func_def_368,type,
    hAPP_f963367678e_bool: ( fun_fu2008829792e_bool * fun_a_1632297036l_bool ) > fun_a_2117018159e_bool ).

tff(func_def_369,type,
    hAPP_f1824947087e_bool: ( fun_fu222103665e_bool * fun_a_998512028e_bool ) > fun_bo675861616e_bool ).

tff(func_def_370,type,
    hAPP_f1460451647e_bool: ( fun_fu1009378087e_bool * fun_a_340690546e_bool ) > fun_fu796809180e_bool ).

tff(func_def_371,type,
    hAPP_f1261923407e_bool: ( fun_fu734682033e_bool * fun_a_2117018159e_bool ) > fun_fu281355805e_bool ).

tff(func_def_372,type,
    hAPP_f100967412e_bool: ( fun_fu796809180e_bool * fun_state_state ) > fun_a_fun_state_bool ).

tff(func_def_373,type,
    hAPP_f746301080e_bool: ( fun_fu78956742e_bool * fun_state_state ) > fun_state_bool ).

tff(func_def_374,type,
    hAPP_f762886889e_bool: ( fun_fu281355805e_bool * fun_state_bool ) > fun_a_fun_state_bool ).

tff(func_def_375,type,
    hAPP_f1759915619e_bool: ( fun_fu373216837e_bool * fun_state_bool ) > fun_state_bool ).

tff(func_def_376,type,
    hAPP_f1259673775l_bool: ( fun_fu1658206819l_bool * fun_state_bool ) > fun_st2063251938l_bool ).

tff(func_def_377,type,
    hAPP_f162060345e_bool: ( fun_fu2127278875e_bool * fun_state_bool ) > fun_fu78956742e_bool ).

tff(func_def_378,type,
    hAPP_f871651461_state: ( fun_fu978939117_state * fun_state_nat ) > fun_state_state ).

tff(func_def_379,type,
    hAPP_f817621513e_bool: ( fun_fu402792811e_bool * fun_st1506752259e_bool ) > fun_st1506752259e_bool ).

tff(func_def_380,type,
    hAPP_f1542232213_state: ( fun_fu1067796093_state * fun_st1816159843_state ) > fun_vn299216483_state ).

tff(func_def_381,type,
    hAPP_f167292325e_bool: ( fun_fu1219323149e_bool * fun_st2063251938l_bool ) > fun_bo1936561970e_bool ).

tff(func_def_382,type,
    hAPP_f644196280e_bool: ( fun_fu1047394976e_bool * fun_st2063251938l_bool ) > fun_fu373216837e_bool ).

tff(func_def_383,type,
    hAPP_f851239890_state: ( fun_fu227828410_state * fun_st2072884720_state ) > fun_fu978939117_state ).

tff(func_def_384,type,
    hAPP_f2073279419e_bool: ( fun_fu88048803e_bool * fun_bool_bool ) > fun_fu373216837e_bool ).

tff(func_def_385,type,
    hAPP_f629438041a_bool: ( fun_fu372140353a_bool * fun_bool_bool ) > fun_fu1663341283a_bool ).

tff(func_def_386,type,
    hAPP_f627970963t_bool: ( fun_fu1909738875t_bool * fun_bool_bool ) > fun_fu554825757t_bool ).

tff(func_def_387,type,
    hAPP_f894608603t_bool: ( fun_fu1509210819t_bool * fun_bool_bool ) > fun_fu821463397t_bool ).

tff(func_def_388,type,
    hAPP_f1561913689l_bool: ( fun_fu1873708859l_bool * fun_bo1549164019l_bool ) > fun_fu1658206819l_bool ).

tff(func_def_389,type,
    hAPP_f1261090107l_bool: ( fun_fu1022479645l_bool * fun_bo1549164019l_bool ) > fun_fu1067550789l_bool ).

tff(func_def_390,type,
    hAPP_f1734373249l_bool: ( fun_fu531009635l_bool * fun_bo1549164019l_bool ) > fun_fu610077323l_bool ).

tff(func_def_391,type,
    hAPP_f1080886329l_bool: ( fun_fu1849968923l_bool * fun_bo1549164019l_bool ) > fun_fu2104074051l_bool ).

tff(func_def_392,type,
    hAPP_f500854239l_bool: ( fun_fu2026518849l_bool * fun_Ho882550911a_bool ) > bool ).

tff(func_def_393,type,
    hAPP_f2009966983iple_a: ( fun_fu253747899iple_a * fun_Ho882550911a_bool ) > hoare_2076525193iple_a ).

tff(func_def_394,type,
    hAPP_f827914852ol_int: ( fun_fu490614552ol_int * fun_Ho882550911a_bool ) > int ).

tff(func_def_395,type,
    hAPP_f190641160ol_nat: ( fun_fu328701628ol_nat * fun_Ho882550911a_bool ) > nat ).

tff(func_def_396,type,
    hAPP_f642208769a_bool: ( fun_fu1663341283a_bool * fun_Ho882550911a_bool ) > fun_Ho882550911a_bool ).

tff(func_def_397,type,
    hAPP_f268025233l_bool: ( fun_fu1067550789l_bool * fun_Ho882550911a_bool ) > fun_Ho2037816211l_bool ).

tff(func_def_398,type,
    hAPP_f219434403a_bool: ( fun_fu1725628421a_bool * fun_Ho882550911a_bool ) > fun_Ho943022881a_bool ).

tff(func_def_399,type,
    hAPP_f479558075at_nat: ( fun_fu662538351at_nat * fun_Ho882550911a_bool ) > fun_nat_nat ).

tff(func_def_400,type,
    hAPP_f256727871l_bool: ( fun_fu1789210355l_bool * fun_Ho882550911a_bool ) > fun_fu2026518849l_bool ).

tff(func_def_401,type,
    hAPP_f1418638817a_bool: ( fun_fu2051904533a_bool * fun_Ho882550911a_bool ) > fun_fu1663341283a_bool ).

tff(func_def_402,type,
    hAPP_f845487733l_bool: ( fun_fu2104275287l_bool * fun_Ho882550911a_bool ) > fun_fu1789210355l_bool ).

tff(func_def_403,type,
    hAPP_f1075886601a_bool: ( fun_fu1040446391a_bool * fun_Ho1518252029iple_a ) > fun_Ho943022881a_bool ).

tff(func_def_404,type,
    hAPP_f1382137045_a_int: ( fun_fu1557526205_a_int * fun_Ho1026035802_a_int ) > fun_Ho1026035802_a_int ).

tff(func_def_405,type,
    hAPP_f841024195t_bool: ( fun_fu1733261297t_bool * fun_Ho1026035802_a_int ) > fun_Ho1608761598t_bool ).

tff(func_def_406,type,
    hAPP_f534508204nt_int: ( fun_fu1975973012nt_int * fun_Ho1026035802_a_int ) > fun_Ho1977546161nt_int ).

tff(func_def_407,type,
    hAPP_f1870360797ol_int: ( fun_fu1327528203ol_int * fun_Ho1026035802_a_int ) > fun_fu490614552ol_int ).

tff(func_def_408,type,
    hAPP_f2075363285_a_nat: ( fun_fu1923493821_a_nat * fun_Ho864122878_a_nat ) > fun_Ho864122878_a_nat ).

tff(func_def_409,type,
    hAPP_f570970635t_bool: ( fun_fu1252406585t_bool * fun_Ho864122878_a_nat ) > fun_Ho1349715618t_bool ).

tff(func_def_410,type,
    hAPP_f731653896at_nat: ( fun_fu1300474096at_nat * fun_Ho864122878_a_nat ) > fun_Ho1036508337at_nat ).

tff(func_def_411,type,
    hAPP_f536288520_a_nat: ( fun_fu1472438000_a_nat * fun_Ho864122878_a_nat ) > fun_na841142961_a_nat ).

tff(func_def_412,type,
    hAPP_f1697440293ol_nat: ( fun_fu827349075ol_nat * fun_Ho864122878_a_nat ) > fun_fu328701628ol_nat ).

tff(func_def_413,type,
    hAPP_f1004093413a_bool: ( fun_fu805217741a_bool * fun_Ho2037816211l_bool ) > fun_fu1663341283a_bool ).

tff(func_def_414,type,
    hAPP_f338738851a_bool: ( fun_fu445247621a_bool * fun_Ho943022881a_bool ) > fun_Ho882550911a_bool ).

tff(func_def_415,type,
    hAPP_f877684549a_bool: ( fun_fu630820007a_bool * fun_Ho943022881a_bool ) > fun_Ho943022881a_bool ).

tff(func_def_416,type,
    hAPP_f102426163a_bool: ( fun_fu914297575a_bool * fun_Ho943022881a_bool ) > fun_Ho112928087a_bool ).

tff(func_def_417,type,
    hAPP_f256103387a_bool: ( fun_fu1381603133a_bool * fun_Ho943022881a_bool ) > fun_fu1040446391a_bool ).

tff(func_def_418,type,
    hAPP_f438022427a_bool: ( fun_fu1681956989a_bool * fun_Ho943022881a_bool ) > fun_fu1017053431a_bool ).

tff(func_def_419,type,
    hAPP_f946563611a_bool: ( fun_fu1682168189a_bool * fun_Ho943022881a_bool ) > fun_fu1525594615a_bool ).

tff(func_def_420,type,
    hAPP_f10452157_a_nat: ( fun_fu602188273_a_nat * fun_Ho1608761598t_bool ) > fun_Ho864122878_a_nat ).

tff(func_def_421,type,
    hAPP_f741913983t_bool: ( fun_fu945366625t_bool * fun_Ho1608761598t_bool ) > fun_Ho1608761598t_bool ).

tff(func_def_422,type,
    hAPP_f1732083583a_bool: ( fun_fu697888865a_bool * fun_Ho1608761598t_bool ) > fun_in451447550a_bool ).

tff(func_def_423,type,
    hAPP_f1031139617_a_int: ( fun_fu907920777_a_int * fun_Ho1977546161nt_int ) > fun_fu1557526205_a_int ).

tff(func_def_424,type,
    hAPP_f1998933761ol_nat: ( fun_fu876640303ol_nat * fun_Ho1488374613nt_nat ) > fun_Ho1634634433ol_nat ).

tff(func_def_425,type,
    hAPP_f1096027413_a_nat: ( fun_fu1217459197_a_nat * fun_Ho1488374613nt_nat ) > fun_in501186901_a_nat ).

tff(func_def_426,type,
    hAPP_f1753252377_a_nat: ( fun_fu197504845_a_nat * fun_Ho1349715618t_bool ) > fun_Ho864122878_a_nat ).

tff(func_def_427,type,
    hAPP_f631038663t_bool: ( fun_fu623690153t_bool * fun_Ho1349715618t_bool ) > fun_Ho1349715618t_bool ).

tff(func_def_428,type,
    hAPP_f1040149703a_bool: ( fun_fu552225705a_bool * fun_Ho1349715618t_bool ) > fun_na1758826658a_bool ).

tff(func_def_429,type,
    hAPP_f1296292793ol_nat: ( fun_fu394467047ol_nat * fun_Ho1036508337at_nat ) > fun_Ho1345928733ol_nat ).

tff(func_def_430,type,
    hAPP_f564893909at_nat: ( fun_fu2033973437at_nat * fun_Ho1036508337at_nat ) > fun_Ho755902321at_nat ).

tff(func_def_431,type,
    hAPP_f668391445_a_nat: ( fun_fu1305006333_a_nat * fun_Ho1036508337at_nat ) > fun_na841142961_a_nat ).

tff(func_def_432,type,
    hAPP_f1659339553_a_nat: ( fun_fu84072329_a_nat * fun_Ho1036508337at_nat ) > fun_fu1923493821_a_nat ).

tff(func_def_433,type,
    hAPP_f325481667a_bool: ( fun_fu1498271147a_bool * fun_Ho1910759733l_bool ) > fun_fu1663341283a_bool ).

tff(func_def_434,type,
    hAPP_f1824299331a_bool: ( fun_fu1585255851a_bool * fun_Ho112928087a_bool ) > fun_fu1725628421a_bool ).

tff(func_def_435,type,
    hAPP_f209886133_a_nat: ( fun_fu1310697751_a_nat * fun_Ho1634634433ol_nat ) > fun_fu602188273_a_nat ).

tff(func_def_436,type,
    hAPP_f991915629_a_nat: ( fun_fu1071091151_a_nat * fun_Ho1345928733ol_nat ) > fun_fu197504845_a_nat ).

tff(func_def_437,type,
    hAPP_f1217804815_a_nat: ( fun_fu728204273_a_nat * fun_Ho1345928733ol_nat ) > fun_fu219474671_a_nat ).

tff(func_def_438,type,
    hAPP_f1112019605at_nat: ( fun_fu2109513853at_nat * fun_Ho755902321at_nat ) > fun_fu300013553at_nat ).

tff(func_def_439,type,
    hAPP_f448129468l_bool: ( fun_fu819804446l_bool * fun_int_bool ) > bool ).

tff(func_def_440,type,
    hAPP_f1594865479ol_int: ( fun_fun_int_bool_int * fun_int_bool ) > int ).

tff(func_def_441,type,
    hAPP_f957591787ol_nat: ( fun_fun_int_bool_nat * fun_int_bool ) > nat ).

tff(func_def_442,type,
    hAPP_f1805168059t_bool: ( fun_fu554825757t_bool * fun_int_bool ) > fun_int_bool ).

tff(func_def_443,type,
    hAPP_f2144054103l_bool: ( fun_fu610077323l_bool * fun_int_bool ) > fun_in531499254l_bool ).

tff(func_def_444,type,
    hAPP_f1048215610t_bool: ( fun_fu380257692t_bool * fun_int_bool ) > fun_int_fun_int_bool ).

tff(func_def_445,type,
    hAPP_f1473602334at_nat: ( fun_fu2071915986at_nat * fun_int_bool ) > fun_nat_nat ).

tff(func_def_446,type,
    hAPP_f284875647l_bool: ( fun_fu1151772339l_bool * fun_int_bool ) > fun_fu819804446l_bool ).

tff(func_def_447,type,
    hAPP_f1223193598t_bool: ( fun_fu1075512626t_bool * fun_int_bool ) > fun_fu554825757t_bool ).

tff(func_def_448,type,
    hAPP_f1634429330l_bool: ( fun_fu1284533364l_bool * fun_int_bool ) > fun_fu1151772339l_bool ).

tff(func_def_449,type,
    hAPP_f1362463689a_bool: ( fun_fu1017053431a_bool * fun_in1219646560iple_a ) > fun_in451447550a_bool ).

tff(func_def_450,type,
    hAPP_f1791153283t_bool: ( fun_fu215647537t_bool * fun_int_int ) > fun_int_fun_int_bool ).

tff(func_def_451,type,
    hAPP_f1926459811ol_int: ( fun_fu1814991441ol_int * fun_int_int ) > fun_fun_int_bool_int ).

tff(func_def_452,type,
    hAPP_f1431025877at_int: ( fun_fu1887272509at_int * fun_int_int ) > fun_fu2024564861at_int ).

tff(func_def_453,type,
    hAPP_f147134065nt_int: ( fun_fu130970841nt_int * fun_int_nat ) > fun_int_int ).

tff(func_def_454,type,
    hAPP_f2132704789nt_nat: ( fun_fu1789282941nt_nat * fun_int_nat ) > fun_int_nat ).

tff(func_def_455,type,
    hAPP_f876579787t_bool: ( fun_fu1237756537t_bool * fun_int_nat ) > fun_int_fun_nat_bool ).

tff(func_def_456,type,
    hAPP_f1463450952at_nat: ( fun_fu1420944304at_nat * fun_int_nat ) > fun_int_fun_nat_nat ).

tff(func_def_457,type,
    hAPP_f237327688nt_nat: ( fun_fu330349488nt_nat * fun_int_nat ) > fun_nat_fun_int_nat ).

tff(func_def_458,type,
    hAPP_f1109019371ol_nat: ( fun_fu670292377ol_nat * fun_int_nat ) > fun_fun_int_bool_nat ).

tff(func_def_459,type,
    hAPP_f727283836t_bool: ( fun_fu587508068t_bool * fun_in531499254l_bool ) > fun_fu554825757t_bool ).

tff(func_def_460,type,
    hAPP_f510295935t_bool: ( fun_fu713748577t_bool * fun_in451447550a_bool ) > fun_Ho1608761598t_bool ).

tff(func_def_461,type,
    hAPP_f1503898400nt_nat: ( fun_fu728395988nt_nat * fun_in451447550a_bool ) > fun_int_nat ).

tff(func_def_462,type,
    hAPP_f1500465535a_bool: ( fun_fu466270817a_bool * fun_in451447550a_bool ) > fun_in451447550a_bool ).

tff(func_def_463,type,
    hAPP_f287449365nt_nat: ( fun_fu224004093nt_nat * fun_in501186901_a_nat ) > fun_Ho1488374613nt_nat ).

tff(func_def_464,type,
    hAPP_f1914880763ol_nat: ( fun_fu2076872489ol_nat * fun_in501186901_a_nat ) > fun_in149899451ol_nat ).

tff(func_def_465,type,
    hAPP_f2119767738t_bool: ( fun_fu1221449756t_bool * fun_int_fun_int_bool ) > fun_int_bool ).

tff(func_def_466,type,
    hAPP_f1134349059nt_nat: ( fun_fu1396640951nt_nat * fun_int_fun_int_bool ) > fun_int_nat ).

tff(func_def_467,type,
    hAPP_f428220345t_bool: ( fun_fu257678363t_bool * fun_int_fun_int_bool ) > fun_int_fun_int_bool ).

tff(func_def_468,type,
    hAPP_f1468280982t_bool: ( fun_fu1881253066t_bool * fun_int_fun_int_bool ) > fun_in719570932t_bool ).

tff(func_def_469,type,
    hAPP_f1444703951t_bool: ( fun_fu405047601t_bool * fun_int_fun_int_bool ) > fun_fu1733261297t_bool ).

tff(func_def_470,type,
    hAPP_f1399575567t_bool: ( fun_fu1997740657t_bool * fun_int_fun_int_bool ) > fun_fu215647537t_bool ).

tff(func_def_471,type,
    hAPP_f879109391t_bool: ( fun_fu1576332145t_bool * fun_int_fun_int_bool ) > fun_fu1842665009t_bool ).

tff(func_def_472,type,
    hAPP_f1566620885nt_int: ( fun_fu1831640381nt_int * fun_int_fun_int_int ) > fun_fu1975973012nt_int ).

tff(func_def_473,type,
    hAPP_f909851349nt_nat: ( fun_fu214894141nt_nat * fun_int_fun_int_nat ) > fun_int_fun_int_nat ).

tff(func_def_474,type,
    hAPP_f1548925761ol_nat: ( fun_fu1243635695ol_nat * fun_int_fun_int_nat ) > fun_in1461553182ol_nat ).

tff(func_def_475,type,
    hAPP_f1161717855nt_nat: ( fun_fu1424009747nt_nat * fun_int_fun_nat_bool ) > fun_int_nat ).

tff(func_def_476,type,
    hAPP_f783004929t_bool: ( fun_fu401661795t_bool * fun_int_fun_nat_bool ) > fun_int_fun_nat_bool ).

tff(func_def_477,type,
    hAPP_f175561985t_bool: ( fun_fu1890060131t_bool * fun_int_fun_nat_bool ) > fun_nat_fun_int_bool ).

tff(func_def_478,type,
    hAPP_f1501159417ol_nat: ( fun_fu1416337063ol_nat * fun_int_fun_nat_nat ) > fun_in1172847482ol_nat ).

tff(func_def_479,type,
    hAPP_f1033905301at_nat: ( fun_fu199354621at_nat * fun_int_fun_nat_nat ) > fun_in1791225684at_nat ).

tff(func_def_480,type,
    hAPP_f879494613nt_nat: ( fun_fu652796733nt_nat * fun_int_fun_nat_nat ) > fun_nat_fun_int_nat ).

tff(func_def_481,type,
    hAPP_f1399363134nt_nat: ( fun_fu1650807462nt_nat * fun_int_fun_nat_nat ) > fun_fu1789282941nt_nat ).

tff(func_def_482,type,
    hAPP_f807099282nt_nat: ( fun_fu2087062900nt_nat * fun_in149899451ol_nat ) > fun_fu728395988nt_nat ).

tff(func_def_483,type,
    hAPP_f202917053t_bool: ( fun_fu1374874789t_bool * fun_in938817141l_bool ) > fun_fu554825757t_bool ).

tff(func_def_484,type,
    hAPP_f446447448nt_nat: ( fun_fu1989253562nt_nat * fun_in1461553182ol_nat ) > fun_fu1396640951nt_nat ).

tff(func_def_485,type,
    hAPP_f472159229t_bool: ( fun_fu407119589t_bool * fun_in719570932t_bool ) > fun_fu380257692t_bool ).

tff(func_def_486,type,
    hAPP_f369809936nt_nat: ( fun_fu776947314nt_nat * fun_in1172847482ol_nat ) > fun_fu1424009747nt_nat ).

tff(func_def_487,type,
    hAPP_f261731407nt_nat: ( fun_fu591799985nt_nat * fun_in1172847482ol_nat ) > fun_fu483878866nt_nat ).

tff(func_def_488,type,
    hAPP_f701299925at_nat: ( fun_fu1218916157at_nat * fun_in1791225684at_nat ) > fun_fu1127110484at_nat ).

tff(func_def_489,type,
    hAPP_f54304608l_bool: ( fun_fu425979586l_bool * fun_nat_bool ) > bool ).

tff(func_def_490,type,
    hAPP_f659380387ol_int: ( fun_fun_nat_bool_int * fun_nat_bool ) > int ).

tff(func_def_491,type,
    hAPP_f22106695ol_nat: ( fun_fun_nat_bool_nat * fun_nat_bool ) > nat ).

tff(func_def_492,type,
    hAPP_f1047071419_a_nat: ( fun_fu219474671_a_nat * fun_nat_bool ) > fun_Ho864122878_a_nat ).

tff(func_def_493,type,
    hAPP_f787214110nt_nat: ( fun_fu483878866nt_nat * fun_nat_bool ) > fun_int_nat ).

tff(func_def_494,type,
    hAPP_f800510211t_bool: ( fun_fu821463397t_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_495,type,
    hAPP_f1146629647l_bool: ( fun_fu2104074051l_bool * fun_nat_bool ) > fun_na1469252690l_bool ).

tff(func_def_496,type,
    hAPP_f1570313510t_bool: ( fun_fu429110920t_bool * fun_nat_bool ) > fun_nat_fun_nat_bool ).

tff(func_def_497,type,
    hAPP_f103356543l_bool: ( fun_fu1217155507l_bool * fun_nat_bool ) > fun_fu425979586l_bool ).

tff(func_def_498,type,
    hAPP_f1730770594t_bool: ( fun_fu915923926t_bool * fun_nat_bool ) > fun_fu821463397t_bool ).

tff(func_def_499,type,
    hAPP_f1266913334l_bool: ( fun_fu1216549656l_bool * fun_nat_bool ) > fun_fu1217155507l_bool ).

tff(func_def_500,type,
    hAPP_f1324734153a_bool: ( fun_fu1525594615a_bool * fun_na1240513468iple_a ) > fun_na1758826658a_bool ).

tff(func_def_501,type,
    hAPP_f1139079189at_int: ( fun_fu2024564861at_int * fun_nat_int ) > fun_nat_int ).

tff(func_def_502,type,
    hAPP_f1533130627t_bool: ( fun_fu1842665009t_bool * fun_nat_int ) > fun_nat_fun_int_bool ).

tff(func_def_503,type,
    hAPP_f1673907925nt_int: ( fun_fu603924029nt_int * fun_nat_int ) > fun_fu130970841nt_int ).

tff(func_def_504,type,
    hAPP_f1599440987ol_int: ( fun_fu2134752009ol_int * fun_nat_int ) > fun_fun_nat_bool_int ).

tff(func_def_505,type,
    hAPP_f1016910345at_nat: ( fun_fu300013553at_nat * fun_nat_nat ) > fun_Ho1036508337at_nat ).

tff(func_def_506,type,
    hAPP_f1169617132at_nat: ( fun_fu1127110484at_nat * fun_nat_nat ) > fun_int_fun_nat_nat ).

tff(func_def_507,type,
    hAPP_f1914919701at_nat: ( fun_fu325663101at_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_508,type,
    hAPP_f618557131t_bool: ( fun_fu717290361t_bool * fun_nat_nat ) > fun_nat_fun_nat_bool ).

tff(func_def_509,type,
    hAPP_f1639111240at_nat: ( fun_fu2064863920at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_510,type,
    hAPP_f375421205_a_nat: ( fun_fu1437424253_a_nat * fun_nat_nat ) > fun_fu1923493821_a_nat ).

tff(func_def_511,type,
    hAPP_f901215189nt_nat: ( fun_fu773339453nt_nat * fun_nat_nat ) > fun_fu1789282941nt_nat ).

tff(func_def_512,type,
    hAPP_f782000547ol_nat: ( fun_fu990052945ol_nat * fun_nat_nat ) > fun_fun_nat_bool_nat ).

tff(func_def_513,type,
    hAPP_f1585078997at_nat: ( fun_fu1179887677at_nat * fun_nat_nat ) > fun_fu325663101at_nat ).

tff(func_def_514,type,
    hAPP_f561022312t_bool: ( fun_fu1901564496t_bool * fun_na1469252690l_bool ) > fun_fu821463397t_bool ).

tff(func_def_515,type,
    hAPP_f1460432071t_bool: ( fun_fu1453083561t_bool * fun_na1758826658a_bool ) > fun_Ho1349715618t_bool ).

tff(func_def_516,type,
    hAPP_f420120536at_nat: ( fun_fu546267020at_nat * fun_na1758826658a_bool ) > fun_nat_nat ).

tff(func_def_517,type,
    hAPP_f1869543111a_bool: ( fun_fu1381619113a_bool * fun_na1758826658a_bool ) > fun_na1758826658a_bool ).

tff(func_def_518,type,
    hAPP_f982543381at_nat: ( fun_fu1251828989at_nat * fun_na841142961_a_nat ) > fun_Ho1036508337at_nat ).

tff(func_def_519,type,
    hAPP_f1356625915ol_nat: ( fun_fu1428730409ol_nat * fun_na841142961_a_nat ) > fun_na228779103ol_nat ).

tff(func_def_520,type,
    hAPP_f482008321t_bool: ( fun_fu100665187t_bool * fun_nat_fun_int_bool ) > fun_int_fun_nat_bool ).

tff(func_def_521,type,
    hAPP_f389300155at_nat: ( fun_fu1553240943at_nat * fun_nat_fun_int_bool ) > fun_nat_nat ).

tff(func_def_522,type,
    hAPP_f2022049025t_bool: ( fun_fu1589063523t_bool * fun_nat_fun_int_bool ) > fun_nat_fun_int_bool ).

tff(func_def_523,type,
    hAPP_f446977493at_nat: ( fun_fu84751165at_nat * fun_nat_fun_int_nat ) > fun_int_fun_nat_nat ).

tff(func_def_524,type,
    hAPP_f299305025ol_nat: ( fun_fu1544887023ol_nat * fun_nat_fun_int_nat ) > fun_na1402637250ol_nat ).

tff(func_def_525,type,
    hAPP_f158894502t_bool: ( fun_fu531872008t_bool * fun_nat_fun_nat_bool ) > fun_nat_bool ).

tff(func_def_526,type,
    hAPP_f229349961t_bool: ( fun_fu1733046955t_bool * fun_nat_fun_nat_bool ) > fun_nat_fun_nat_bool ).

tff(func_def_527,type,
    hAPP_f10625010t_bool: ( fun_fu2023981606t_bool * fun_nat_fun_nat_bool ) > fun_na35521688t_bool ).

tff(func_def_528,type,
    hAPP_f2096737119t_bool: ( fun_fu686268865t_bool * fun_nat_fun_nat_bool ) > fun_fu1252406585t_bool ).

tff(func_def_529,type,
    hAPP_f2026117279t_bool: ( fun_fu1109211905t_bool * fun_nat_fun_nat_bool ) > fun_fu1237756537t_bool ).

tff(func_def_530,type,
    hAPP_f1505651103t_bool: ( fun_fu687803393t_bool * fun_nat_fun_nat_bool ) > fun_fu717290361t_bool ).

tff(func_def_531,type,
    hAPP_f416620757at_nat: ( fun_fu522653757at_nat * fun_nat_fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_532,type,
    hAPP_f935848405_a_nat: ( fun_fu927620157_a_nat * fun_nat_fun_nat_nat ) > fun_na1588060912_a_nat ).

tff(func_def_533,type,
    hAPP_f2080483477nt_nat: ( fun_fu1086979837nt_nat * fun_nat_fun_nat_nat ) > fun_na266550704nt_nat ).

tff(func_def_534,type,
    hAPP_f648261589at_nat: ( fun_fu1755521597at_nat * fun_nat_fun_nat_nat ) > fun_fu1300474096at_nat ).

tff(func_def_535,type,
    hAPP_f1087393429at_nat: ( fun_fu1017488637at_nat * fun_nat_fun_nat_nat ) > fun_fu1420944304at_nat ).

tff(func_def_536,type,
    hAPP_f1408247010at_nat: ( fun_fu1382375754at_nat * fun_nat_fun_nat_nat ) > fun_fu325663101at_nat ).

tff(func_def_537,type,
    hAPP_f1731313045at_nat: ( fun_fu1799328765at_nat * fun_nat_fun_nat_nat ) > fun_fu2064863920at_nat ).

tff(func_def_538,type,
    hAPP_f1173305809at_nat: ( fun_fu55165875at_nat * fun_na228779103ol_nat ) > fun_fu662538351at_nat ).

tff(func_def_539,type,
    hAPP_f1323480046at_nat: ( fun_fu1446087120at_nat * fun_na228779103ol_nat ) > fun_fu546267020at_nat ).

tff(func_def_540,type,
    hAPP_f928984021_a_nat: ( fun_fu1480131645_a_nat * fun_na1588060912_a_nat ) > fun_fu1472438000_a_nat ).

tff(func_def_541,type,
    hAPP_f630508183at_nat: ( fun_fu1373519097at_nat * fun_na1402637250ol_nat ) > fun_fu2071915986at_nat ).

tff(func_def_542,type,
    hAPP_f1750007732at_nat: ( fun_fu1081900566at_nat * fun_na1402637250ol_nat ) > fun_fu1553240943at_nat ).

tff(func_def_543,type,
    hAPP_f1633513941nt_nat: ( fun_fu1251161661nt_nat * fun_na266550704nt_nat ) > fun_fu330349488nt_nat ).

tff(func_def_544,type,
    hAPP_f1722879237t_bool: ( fun_fu80187629t_bool * fun_na1436237685l_bool ) > fun_fu821463397t_bool ).

tff(func_def_545,type,
    hAPP_f688831301t_bool: ( fun_fu1538037805t_bool * fun_na35521688t_bool ) > fun_fu429110920t_bool ).

tff(func_def_546,type,
    hAPP_f1178339559l_bool: ( fun_fu1340893257l_bool * fun_fu1658206819l_bool ) > fun_fu2118559873l_bool ).

tff(func_def_547,type,
    hAPP_f635443597e_bool: ( fun_fu817723125e_bool * fun_fu2127278875e_bool ) > fun_fu278206227e_bool ).

tff(func_def_548,type,
    hAPP_f1006724181e_bool: ( fun_fu1860059197e_bool * fun_fu1219323149e_bool ) > fun_fu1591723597e_bool ).

tff(func_def_549,type,
    hAPP_f375255701e_bool: ( fun_fu1631777789e_bool * fun_fu1047394976e_bool ) > fun_fu2008829792e_bool ).

tff(func_def_550,type,
    hAPP_f1490793353l_bool: ( fun_fu1342882871l_bool * fun_fu2026518849l_bool ) > bool ).

tff(func_def_551,type,
    hAPP_f1758315691a_bool: ( fun_fu1819779801a_bool * fun_fu2026518849l_bool ) > fun_Ho882550911a_bool ).

tff(func_def_552,type,
    hAPP_f354682389l_bool: ( fun_fu1354972029l_bool * fun_fu2026518849l_bool ) > fun_fu2026518849l_bool ).

tff(func_def_553,type,
    hAPP_f1827400025a_bool: ( fun_fu870629313a_bool * fun_fu2026518849l_bool ) > fun_fu445247621a_bool ).

tff(func_def_554,type,
    hAPP_f228445643at_nat: ( fun_fu898837677at_nat * fun_fu328701628ol_nat ) > fun_fu546267020at_nat ).

tff(func_def_555,type,
    hAPP_f967504915a_bool: ( fun_fu600978683a_bool * fun_fu1663341283a_bool ) > fun_fu466270817a_bool ).

tff(func_def_556,type,
    hAPP_f1882853211a_bool: ( fun_fu1912089667a_bool * fun_fu1663341283a_bool ) > fun_fu1381619113a_bool ).

tff(func_def_557,type,
    hAPP_f246259945l_bool: ( fun_fu1236051915l_bool * fun_fu1789210355l_bool ) > fun_fu1789210355l_bool ).

tff(func_def_558,type,
    hAPP_f86610733a_bool: ( fun_fu1595031695a_bool * fun_fu2051904533a_bool ) > fun_fu2051904533a_bool ).

tff(func_def_559,type,
    hAPP_f300022271a_bool: ( fun_fu743040865a_bool * fun_fu2051904533a_bool ) > fun_fu914297575a_bool ).

tff(func_def_560,type,
    hAPP_f534494591ol_nat: ( fun_fu1739618017ol_nat * fun_fu827349075ol_nat ) > fun_fu2076872489ol_nat ).

tff(func_def_561,type,
    hAPP_f2033836159ol_nat: ( fun_fu774707681ol_nat * fun_fu827349075ol_nat ) > fun_fu1428730409ol_nat ).

tff(func_def_562,type,
    hAPP_f215623910l_bool: ( fun_fu1540142484l_bool * fun_fu819804446l_bool ) > bool ).

tff(func_def_563,type,
    hAPP_f631471077t_bool: ( fun_fu1421432211t_bool * fun_fu819804446l_bool ) > fun_int_bool ).

tff(func_def_564,type,
    hAPP_f1948010709l_bool: ( fun_fu1070826941l_bool * fun_fu819804446l_bool ) > fun_fu819804446l_bool ).

tff(func_def_565,type,
    hAPP_f423804115t_bool: ( fun_fu1671602619t_bool * fun_fu819804446l_bool ) > fun_fu1221449756t_bool ).

tff(func_def_566,type,
    hAPP_f296893331_a_nat: ( fun_fu2017547765_a_nat * fun_fun_int_bool_nat ) > fun_fu602188273_a_nat ).

tff(func_def_567,type,
    hAPP_f2100446809nt_nat: ( fun_fu1795303867nt_nat * fun_fun_int_bool_nat ) > fun_fu1396640951nt_nat ).

tff(func_def_568,type,
    hAPP_f109563153at_nat: ( fun_fu1888474227at_nat * fun_fun_int_bool_nat ) > fun_fu1553240943at_nat ).

tff(func_def_569,type,
    hAPP_f1871962969t_bool: ( fun_fu763112513t_bool * fun_fu554825757t_bool ) > fun_fu945366625t_bool ).

tff(func_def_570,type,
    hAPP_f654702867t_bool: ( fun_fu1521371387t_bool * fun_fu554825757t_bool ) > fun_fu257678363t_bool ).

tff(func_def_571,type,
    hAPP_f1986088027t_bool: ( fun_fu788822083t_bool * fun_fu554825757t_bool ) > fun_fu1589063523t_bool ).

tff(func_def_572,type,
    hAPP_f1399552105l_bool: ( fun_fu1276998475l_bool * fun_fu1151772339l_bool ) > fun_fu1151772339l_bool ).

tff(func_def_573,type,
    hAPP_f194616807t_bool: ( fun_fu680577737t_bool * fun_fu1075512626t_bool ) > fun_fu1075512626t_bool ).

tff(func_def_574,type,
    hAPP_f1596157055t_bool: ( fun_fu873308769t_bool * fun_fu1075512626t_bool ) > fun_fu1881253066t_bool ).

tff(func_def_575,type,
    hAPP_f1772247755ol_nat: ( fun_fu651819309ol_nat * fun_fu670292377ol_nat ) > fun_fu876640303ol_nat ).

tff(func_def_576,type,
    hAPP_f1331458699ol_nat: ( fun_fu657063149ol_nat * fun_fu670292377ol_nat ) > fun_fu1243635695ol_nat ).

tff(func_def_577,type,
    hAPP_f1632710027ol_nat: ( fun_fu342964205ol_nat * fun_fu670292377ol_nat ) > fun_fu1544887023ol_nat ).

tff(func_def_578,type,
    hAPP_f1637334154l_bool: ( fun_fu814369080l_bool * fun_fu425979586l_bool ) > bool ).

tff(func_def_579,type,
    hAPP_f582319405t_bool: ( fun_fu496092379t_bool * fun_fu425979586l_bool ) > fun_nat_bool ).

tff(func_def_580,type,
    hAPP_f1246832597l_bool: ( fun_fu616551101l_bool * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).

tff(func_def_581,type,
    hAPP_f1777703707t_bool: ( fun_fu1402718723t_bool * fun_fu425979586l_bool ) > fun_fu531872008t_bool ).

tff(func_def_582,type,
    hAPP_f456064075_a_nat: ( fun_fu1155082413_a_nat * fun_fun_nat_bool_nat ) > fun_fu197504845_a_nat ).

tff(func_def_583,type,
    hAPP_f1964560145nt_nat: ( fun_fu523748467nt_nat * fun_fun_nat_bool_nat ) > fun_fu1424009747nt_nat ).

tff(func_def_584,type,
    hAPP_f69420889t_bool: ( fun_fu2137156673t_bool * fun_fu821463397t_bool ) > fun_fu623690153t_bool ).

tff(func_def_585,type,
    hAPP_f1410409747t_bool: ( fun_fu719081723t_bool * fun_fu821463397t_bool ) > fun_fu401661795t_bool ).

tff(func_def_586,type,
    hAPP_f643944041l_bool: ( fun_fu820922699l_bool * fun_fu1217155507l_bool ) > fun_fu1217155507l_bool ).

tff(func_def_587,type,
    hAPP_f1311642927t_bool: ( fun_fu257437713t_bool * fun_fu915923926t_bool ) > fun_fu915923926t_bool ).

tff(func_def_588,type,
    hAPP_f1115950719t_bool: ( fun_fu1738364513t_bool * fun_fu915923926t_bool ) > fun_fu2023981606t_bool ).

tff(func_def_589,type,
    hAPP_f450378965_a_nat: ( fun_fu687095869_a_nat * fun_fu1437424253_a_nat ) > fun_fu927620157_a_nat ).

tff(func_def_590,type,
    hAPP_f1701814485nt_nat: ( fun_fu504533053nt_nat * fun_fu773339453nt_nat ) > fun_fu1086979837nt_nat ).

tff(func_def_591,type,
    hAPP_f153943611ol_nat: ( fun_fu1838203037ol_nat * fun_fu990052945ol_nat ) > fun_fu394467047ol_nat ).

tff(func_def_592,type,
    hAPP_f1029311995ol_nat: ( fun_fu294108253ol_nat * fun_fu990052945ol_nat ) > fun_fu1416337063ol_nat ).

tff(func_def_593,type,
    hAPP_f250842005at_nat: ( fun_fu477648637at_nat * fun_fu1179887677at_nat ) > fun_fu2033973437at_nat ).

tff(func_def_594,type,
    hAPP_f1315855317at_nat: ( fun_fu633097021at_nat * fun_fu1179887677at_nat ) > fun_fu199354621at_nat ).

tff(func_def_595,type,
    member276146780iple_a: fun_Ho1910759733l_bool ).

tff(func_def_596,type,
    member_int: fun_in938817141l_bool ).

tff(func_def_597,type,
    member_nat: fun_na1436237685l_bool ).

tff(func_def_598,type,
    g: fun_Ho882550911a_bool ).

tff(func_def_599,type,
    p: fun_a_fun_state_bool ).

tff(func_def_600,type,
    b: fun_state_bool ).

tff(func_def_601,type,
    c: com ).

tff(func_def_602,type,
    sK4: ( hoare_2076525193iple_a * fun_Ho483360497iple_a * hoare_2076525193iple_a * fun_Ho882550911a_bool * hoare_2076525193iple_a ) > hoare_2076525193iple_a ).

tff(func_def_603,type,
    sK5: ( fun_a_fun_state_bool * fun_a_fun_state_bool ) > x_a ).

tff(func_def_604,type,
    sK6: ( fun_a_fun_state_bool * fun_a_fun_state_bool ) > state ).

tff(func_def_605,type,
    sK7: ( hoare_2076525193iple_a * hoare_2076525193iple_a * fun_Ho483360497iple_a * hoare_2076525193iple_a * fun_Ho882550911a_bool ) > hoare_2076525193iple_a ).

tff(func_def_606,type,
    sK8: ( fun_Ho882550911a_bool * fun_Ho483360497iple_a * hoare_2076525193iple_a ) > fun_Ho882550911a_bool ).

tff(func_def_607,type,
    sK9: ( fun_Ho882550911a_bool * fun_Ho483360497iple_a * hoare_2076525193iple_a ) > hoare_2076525193iple_a ).

tff(func_def_608,type,
    sK10: ( fun_Ho882550911a_bool * fun_Ho483360497iple_a * hoare_2076525193iple_a ) > hoare_2076525193iple_a ).

tff(func_def_609,type,
    sK11: ( int * fun_int_bool ) > int ).

tff(func_def_610,type,
    sK12: ( fun_int_bool * int ) > int ).

tff(func_def_611,type,
    sK13: nat ).

tff(func_def_612,type,
    sK14: nat ).

tff(func_def_613,type,
    sK15: ( fun_nat_fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_614,type,
    sK16: ( fun_nat_fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_615,type,
    sK17: ( fun_Ho882550911a_bool * hoare_2076525193iple_a ) > hoare_2076525193iple_a ).

tff(func_def_616,type,
    sK18: fun_int_bool > int ).

tff(func_def_617,type,
    sK19: fun_int_bool > nat ).

tff(func_def_618,type,
    sK20: ( fun_Ho882550911a_bool * hoare_2076525193iple_a ) > fun_Ho882550911a_bool ).

tff(func_def_619,type,
    sK21: ( fun_int_nat * fun_int_nat * fun_int_bool ) > int ).

tff(func_def_620,type,
    sK22: ( fun_Ho882550911a_bool * fun_Ho1518252029iple_a ) > hoare_2076525193iple_a ).

tff(func_def_621,type,
    sK23: fun_fu819804446l_bool > fun_int_bool ).

tff(func_def_622,type,
    sK24: fun_fu819804446l_bool > int ).

tff(func_def_623,type,
    sK25: ( fun_nat_nat * fun_nat_bool * fun_nat_nat ) > nat ).

tff(func_def_624,type,
    sK26: ( fun_nat_nat * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_625,type,
    sK27: fun_nat_bool > fun_nat_bool ).

tff(func_def_626,type,
    sK28: fun_nat_bool > nat ).

tff(func_def_627,type,
    sK29: ( com * fun_a_fun_state_bool * fun_a_fun_state_bool * fun_Ho882550911a_bool ) > state ).

tff(func_def_628,type,
    sK30: ( com * fun_a_fun_state_bool * fun_a_fun_state_bool * fun_Ho882550911a_bool ) > x_a ).

tff(func_def_629,type,
    sK31: ( com * fun_a_fun_state_bool * fun_a_fun_state_bool * fun_Ho882550911a_bool * fun_a_fun_state_bool * fun_a_fun_state_bool ) > state ).

tff(func_def_630,type,
    sK32: ( fun_Ho1518252029iple_a * hoare_2076525193iple_a * fun_Ho882550911a_bool ) > hoare_2076525193iple_a ).

tff(func_def_631,type,
    sK33: ( fun_nat_bool * nat * fun_nat_fun_nat_nat ) > nat ).

tff(func_def_632,type,
    sK34: ( fun_nat_bool * nat * fun_nat_fun_nat_nat ) > fun_nat_bool ).

tff(func_def_633,type,
    sK35: ( fun_nat_bool * nat * fun_nat_fun_nat_nat ) > nat ).

tff(func_def_634,type,
    sK36: ( fun_Ho1518252029iple_a * fun_Ho882550911a_bool * fun_Ho882550911a_bool ) > hoare_2076525193iple_a ).

tff(func_def_635,type,
    sK37: ( fun_Ho1518252029iple_a * fun_Ho483360497iple_a ) > hoare_2076525193iple_a ).

tff(func_def_636,type,
    sK38: ( fun_Ho1518252029iple_a * fun_Ho483360497iple_a ) > hoare_2076525193iple_a ).

tff(func_def_637,type,
    sK39: fun_int_bool > fun_int_bool ).

tff(func_def_638,type,
    sK40: fun_int_bool > int ).

tff(func_def_639,type,
    sK41: ( fun_int_nat * fun_int_nat * fun_int_bool ) > int ).

tff(func_def_640,type,
    sK42: fun_fu2026518849l_bool > hoare_2076525193iple_a ).

tff(func_def_641,type,
    sK43: fun_fu2026518849l_bool > fun_Ho882550911a_bool ).

tff(func_def_642,type,
    sK44: ( fun_int_nat * fun_int_nat * fun_int_bool ) > int ).

tff(func_def_643,type,
    sK45: ( fun_nat_bool * nat ) > nat ).

tff(func_def_644,type,
    sK46: fun_nat_fun_nat_nat > nat ).

tff(func_def_645,type,
    sK47: fun_nat_fun_nat_nat > nat ).

tff(func_def_646,type,
    sK48: ( fun_Ho1518252029iple_a * fun_Ho882550911a_bool * fun_Ho882550911a_bool ) > fun_Ho882550911a_bool ).

tff(func_def_647,type,
    sK49: ( fun_nat_bool * fun_nat_bool * fun_nat_nat ) > fun_nat_bool ).

tff(func_def_648,type,
    sK50: fun_fu425979586l_bool > nat ).

tff(func_def_649,type,
    sK51: fun_fu425979586l_bool > nat ).

tff(func_def_650,type,
    sK52: fun_fu425979586l_bool > fun_nat_bool ).

tff(func_def_651,type,
    sK53: ( fun_nat_nat * fun_nat_nat * fun_nat_bool ) > nat ).

tff(func_def_652,type,
    sK54: fun_fu819804446l_bool > fun_int_bool ).

tff(func_def_653,type,
    sK55: fun_fu819804446l_bool > int ).

tff(func_def_654,type,
    sK56: ( fun_fu425979586l_bool * fun_nat_bool ) > nat ).

tff(func_def_655,type,
    sK57: ( fun_fu425979586l_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_656,type,
    sK58: fun_Ho483360497iple_a > hoare_2076525193iple_a ).

tff(func_def_657,type,
    sK59: fun_Ho483360497iple_a > hoare_2076525193iple_a ).

tff(func_def_658,type,
    sK60: ( fun_Ho1026035802_a_int * fun_Ho882550911a_bool * int ) > hoare_2076525193iple_a ).

tff(func_def_659,type,
    sK61: ( fun_int_bool * fun_int_int * fun_int_bool ) > fun_int_bool ).

tff(func_def_660,type,
    sK62: ( int * fun_int_bool ) > fun_int_bool ).

tff(func_def_661,type,
    sK63: ( fun_nat_bool * fun_nat_int * fun_int_bool ) > fun_nat_bool ).

tff(func_def_662,type,
    sK64: ( fun_nat_fun_nat_nat * nat * nat * fun_nat_bool ) > nat ).

tff(func_def_663,type,
    sK65: ( fun_nat_fun_nat_nat * nat * nat * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_664,type,
    sK66: ( fun_nat_bool * fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_665,type,
    sK67: ( fun_int_bool * int * fun_int_int ) > int ).

tff(func_def_666,type,
    sK68: ( fun_nat_bool * fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_667,type,
    sK69: fun_fu425979586l_bool > nat ).

tff(func_def_668,type,
    sK70: fun_fu425979586l_bool > fun_nat_bool ).

tff(func_def_669,type,
    sK71: ( fun_Ho1026035802_a_int * fun_Ho882550911a_bool ) > hoare_2076525193iple_a ).

tff(func_def_670,type,
    sK72: ( fun_nat_bool * nat ) > nat ).

tff(func_def_671,type,
    sK73: ( fun_a_fun_state_bool * fun_a_fun_state_bool * fun_a_fun_state_bool * fun_a_fun_state_bool ) > state ).

tff(func_def_672,type,
    sK74: ( fun_a_fun_state_bool * fun_a_fun_state_bool * fun_a_fun_state_bool * fun_a_fun_state_bool ) > x_a ).

tff(func_def_673,type,
    sK75: ( fun_a_fun_state_bool * fun_a_fun_state_bool * fun_a_fun_state_bool * fun_a_fun_state_bool ) > state ).

tff(func_def_674,type,
    sK76: ( fun_int_bool * int * fun_int_fun_int_int * int ) > int ).

tff(func_def_675,type,
    sK77: ( fun_int_bool * int * fun_int_fun_int_int * int ) > fun_int_bool ).

tff(func_def_676,type,
    sK78: ( fun_int_bool * int * fun_int_fun_int_int * int ) > int ).

tff(func_def_677,type,
    sK79: ( fun_int_bool * int ) > int ).

tff(func_def_678,type,
    sK80: ( fun_int_bool * int ) > int ).

tff(func_def_679,type,
    sK81: ( fun_nat_bool * fun_nat_nat * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_680,type,
    sK82: fun_Ho882550911a_bool > hoare_2076525193iple_a ).

tff(func_def_681,type,
    sK83: fun_fu2026518849l_bool > hoare_2076525193iple_a ).

tff(func_def_682,type,
    sK84: fun_fu2026518849l_bool > fun_Ho882550911a_bool ).

tff(func_def_683,type,
    sK85: fun_fu2026518849l_bool > hoare_2076525193iple_a ).

tff(func_def_684,type,
    sK86: fun_nat_nat > nat ).

tff(func_def_685,type,
    sK87: fun_nat_nat > nat ).

tff(func_def_686,type,
    sK88: ( fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_687,type,
    sK89: fun_fu819804446l_bool > int ).

tff(func_def_688,type,
    sK90: fun_fu819804446l_bool > fun_int_bool ).

tff(func_def_689,type,
    sK91: fun_fu819804446l_bool > int ).

tff(func_def_690,type,
    sK92: ( nat * fun_nat_bool * fun_nat_nat ) > nat ).

tff(func_def_691,type,
    sK93: ( fun_int_bool * fun_int_fun_int_int * int ) > int ).

tff(func_def_692,type,
    sK94: ( fun_int_bool * fun_int_fun_int_int * int ) > int ).

tff(func_def_693,type,
    sK95: ( fun_int_bool * fun_int_fun_int_int * int ) > fun_int_bool ).

tff(func_def_694,type,
    sK96: fun_int_bool > int ).

tff(func_def_695,type,
    sK97: ( fun_Ho882550911a_bool * fun_Ho864122878_a_nat * fun_Ho864122878_a_nat ) > hoare_2076525193iple_a ).

tff(func_def_696,type,
    sK98: ( fun_int_bool * fun_int_bool ) > int ).

tff(func_def_697,type,
    sK99: ( fun_int_fun_int_int * int * int * fun_int_bool * int ) > int ).

tff(func_def_698,type,
    sK100: ( fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_699,type,
    sK101: fun_nat_bool > nat ).

tff(func_def_700,type,
    sK102: ( fun_Ho882550911a_bool * hoare_2076525193iple_a ) > hoare_2076525193iple_a ).

tff(func_def_701,type,
    sK103: ( fun_Ho882550911a_bool * hoare_2076525193iple_a * fun_Ho1518252029iple_a ) > hoare_2076525193iple_a ).

tff(func_def_702,type,
    sK104: ( fun_Ho882550911a_bool * fun_Ho864122878_a_nat * fun_Ho864122878_a_nat ) > hoare_2076525193iple_a ).

tff(func_def_703,type,
    sK105: ( fun_int_nat * fun_int_bool ) > int ).

tff(func_def_704,type,
    sK106: ( fun_nat_bool * fun_nat_int ) > nat ).

tff(func_def_705,type,
    sK107: ( fun_int_bool * int * fun_int_fun_int_int ) > int ).

tff(func_def_706,type,
    sK108: hoare_2076525193iple_a > fun_a_fun_state_bool ).

tff(func_def_707,type,
    sK109: hoare_2076525193iple_a > com ).

tff(func_def_708,type,
    sK110: hoare_2076525193iple_a > fun_a_fun_state_bool ).

tff(func_def_709,type,
    sK111: ( fun_nat_nat * nat * fun_nat_bool ) > nat ).

tff(func_def_710,type,
    sK112: fun_nat_bool > nat ).

tff(func_def_711,type,
    sK113: ( hoare_2076525193iple_a * fun_Ho882550911a_bool ) > fun_Ho882550911a_bool ).

tff(func_def_712,type,
    sK114: ( nat * fun_nat_bool * nat * nat * fun_nat_fun_nat_nat ) > nat ).

tff(func_def_713,type,
    sK115: ( fun_in1219646560iple_a * fun_int_bool ) > int ).

tff(func_def_714,type,
    sK116: ( fun_int_bool * int ) > int ).

tff(func_def_715,type,
    sK117: ( hoare_2076525193iple_a * fun_Ho483360497iple_a * hoare_2076525193iple_a * fun_Ho882550911a_bool ) > hoare_2076525193iple_a ).

tff(func_def_716,type,
    sK118: ( hoare_2076525193iple_a * fun_Ho483360497iple_a * hoare_2076525193iple_a * fun_Ho882550911a_bool ) > fun_Ho882550911a_bool ).

tff(func_def_717,type,
    sK119: fun_nat_bool > nat ).

tff(func_def_718,type,
    sK120: ( fun_nat_bool * nat ) > nat ).

tff(func_def_719,type,
    sK121: fun_int_bool > int ).

tff(func_def_720,type,
    sK122: ( fun_nat_fun_nat_nat * nat * nat * fun_nat_bool * nat ) > nat ).

tff(func_def_721,type,
    sK123: ( fun_Ho882550911a_bool * fun_Ho1518252029iple_a * fun_Ho882550911a_bool ) > fun_Ho882550911a_bool ).

tff(func_def_722,type,
    sK124: ( fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_723,type,
    sK125: ( fun_nat_bool * nat ) > nat ).

tff(func_def_724,type,
    sK126: ( fun_a_fun_state_bool * fun_a_fun_state_bool ) > x_a ).

tff(func_def_725,type,
    sK127: ( fun_a_fun_state_bool * fun_a_fun_state_bool ) > state ).

tff(func_def_726,type,
    sK128: fun_int_bool > int ).

tff(func_def_727,type,
    sK129: ( fun_Ho1518252029iple_a * fun_Ho1518252029iple_a * fun_Ho882550911a_bool ) > hoare_2076525193iple_a ).

tff(func_def_728,type,
    sK130: ( fun_int_int * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_729,type,
    sK131: ( fun_nat_int * fun_nat_bool * int ) > nat ).

tff(func_def_730,type,
    sK132: ( fun_int_int * fun_int_int * fun_int_bool ) > int ).

tff(func_def_731,type,
    sK133: ( fun_nat_bool * fun_nat_int * int ) > nat ).

tff(func_def_732,type,
    sK134: fun_int_bool > fun_int_bool ).

tff(func_def_733,type,
    sK135: fun_int_bool > int ).

tff(func_def_734,type,
    sK136: int > nat ).

tff(func_def_735,type,
    sK137: int > nat ).

tff(func_def_736,type,
    sK138: fun_fu2026518849l_bool > fun_Ho882550911a_bool ).

tff(func_def_737,type,
    sK139: fun_fu2026518849l_bool > hoare_2076525193iple_a ).

tff(func_def_738,type,
    sK140: ( com * fun_a_fun_state_bool * fun_a_fun_state_bool * fun_Ho882550911a_bool ) > x_a ).

tff(func_def_739,type,
    sK141: ( com * fun_a_fun_state_bool * fun_a_fun_state_bool * fun_Ho882550911a_bool ) > state ).

tff(func_def_740,type,
    sK142: fun_nat_bool > nat ).

tff(func_def_741,type,
    sK143: fun_nat_bool > fun_nat_bool ).

tff(func_def_742,type,
    sK144: ( fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_743,type,
    sK145: ( int * int * fun_int_bool * int * fun_int_fun_int_int ) > int ).

tff(func_def_744,type,
    sK146: fun_nat_nat > nat ).

tff(func_def_745,type,
    sK147: ( fun_Ho864122878_a_nat * fun_Ho882550911a_bool * fun_Ho864122878_a_nat ) > hoare_2076525193iple_a ).

tff(func_def_746,type,
    sK148: ( hoare_2076525193iple_a * fun_Ho483360497iple_a * hoare_2076525193iple_a * fun_Ho882550911a_bool ) > fun_Ho882550911a_bool ).

tff(func_def_747,type,
    sK149: ( hoare_2076525193iple_a * fun_Ho483360497iple_a * hoare_2076525193iple_a * fun_Ho882550911a_bool ) > hoare_2076525193iple_a ).

tff(func_def_748,type,
    sK150: ( hoare_2076525193iple_a * fun_Ho483360497iple_a * hoare_2076525193iple_a * fun_Ho882550911a_bool ) > hoare_2076525193iple_a ).

tff(func_def_749,type,
    sK151: ( fun_int_nat * fun_int_nat * fun_int_bool ) > int ).

tff(func_def_750,type,
    sK152: ( fun_int_bool * fun_int_nat * fun_int_nat ) > int ).

tff(func_def_751,type,
    sK153: ( fun_int_bool * int ) > int ).

tff(func_def_752,type,
    sK154: ( int * fun_int_bool ) > int ).

tff(func_def_753,type,
    sK155: ( fun_nat_bool * fun_nat_nat ) > nat ).

tff(func_def_754,type,
    sK156: ( fun_Ho882550911a_bool * hoare_2076525193iple_a ) > hoare_2076525193iple_a ).

tff(func_def_755,type,
    sK157: ( fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_756,type,
    sK158: ( fun_nat_bool * fun_nat_fun_nat_nat ) > nat ).

tff(func_def_757,type,
    sK159: fun_nat_bool > nat ).

tff(func_def_758,type,
    sK160: fun_fu425979586l_bool > nat ).

tff(func_def_759,type,
    sK161: fun_fu425979586l_bool > fun_nat_bool ).

tff(func_def_760,type,
    sK162: ( fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_761,type,
    sK163: ( fun_int_bool * fun_fu819804446l_bool ) > fun_int_bool ).

tff(func_def_762,type,
    sK164: ( fun_int_bool * fun_fu819804446l_bool ) > int ).

tff(func_def_763,type,
    sK165: ( fun_Ho882550911a_bool * fun_Ho864122878_a_nat * fun_Ho864122878_a_nat ) > hoare_2076525193iple_a ).

tff(func_def_764,type,
    sK166: ( fun_Ho882550911a_bool * nat * fun_Ho864122878_a_nat ) > hoare_2076525193iple_a ).

tff(func_def_765,type,
    sK167: ( fun_int_bool * int * fun_int_fun_int_int * int ) > int ).

tff(func_def_766,type,
    sK168: ( fun_int_bool * int * fun_int_fun_int_int * int ) > fun_int_bool ).

tff(func_def_767,type,
    sK169: ( fun_int_bool * fun_nat_bool * fun_nat_int ) > fun_nat_bool ).

tff(func_def_768,type,
    sK170: ( fun_int_bool * fun_int_bool ) > int ).

tff(func_def_769,type,
    sK171: fun_int_fun_int_int > int ).

tff(func_def_770,type,
    sK172: fun_int_fun_int_int > int ).

tff(func_def_771,type,
    sK173: ( int * int ) > nat ).

tff(func_def_772,type,
    sK174: ( fun_nat_bool * nat ) > nat ).

tff(func_def_773,type,
    sK175: fun_Ho882550911a_bool > hoare_2076525193iple_a ).

tff(func_def_774,type,
    sK176: ( fun_int_int * fun_int_bool * fun_int_bool ) > fun_int_bool ).

tff(func_def_775,type,
    sK177: ( fun_int_fun_int_int * fun_int_int ) > int ).

tff(func_def_776,type,
    sK178: ( fun_int_fun_int_int * fun_int_int ) > int ).

tff(func_def_777,type,
    sK179: ( fun_Ho882550911a_bool * fun_Ho882550911a_bool ) > hoare_2076525193iple_a ).

tff(func_def_778,type,
    sK180: ( fun_int_bool * int ) > int ).

tff(func_def_779,type,
    sK181: ( fun_Ho882550911a_bool * hoare_2076525193iple_a * fun_Ho483360497iple_a ) > hoare_2076525193iple_a ).

tff(func_def_780,type,
    sK182: fun_Ho882550911a_bool > hoare_2076525193iple_a ).

tff(func_def_781,type,
    sK183: ( fun_nat_bool * fun_int_bool * fun_nat_int ) > nat ).

tff(func_def_782,type,
    sK184: ( fun_Ho882550911a_bool * fun_fu2026518849l_bool ) > fun_Ho882550911a_bool ).

tff(func_def_783,type,
    sK185: ( fun_Ho882550911a_bool * fun_fu2026518849l_bool ) > hoare_2076525193iple_a ).

tff(func_def_784,type,
    sK186: ( hoare_2076525193iple_a * fun_na1240513468iple_a * fun_nat_bool ) > nat ).

tff(func_def_785,type,
    sK187: ( fun_int_bool * fun_int_bool ) > int ).

tff(func_def_786,type,
    sK188: ( fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_787,type,
    sK189: ( fun_int_bool * fun_int_int * int ) > int ).

tff(func_def_788,type,
    sK190: fun_int_bool > int ).

tff(func_def_789,type,
    sK191: fun_int_bool > nat ).

tff(func_def_790,type,
    sK192: ( fun_Ho882550911a_bool * fun_Ho483360497iple_a ) > hoare_2076525193iple_a ).

tff(func_def_791,type,
    sK193: ( fun_int_fun_int_int * fun_int_bool ) > int ).

tff(func_def_792,type,
    sK194: ( int * fun_int_bool ) > int ).

tff(func_def_793,type,
    sK195: ( fun_int_bool * int ) > int ).

tff(func_def_794,type,
    sK196: ( int * fun_int_bool ) > fun_int_bool ).

tff(func_def_795,type,
    sK197: ( fun_nat_bool * fun_na1240513468iple_a ) > nat ).

tff(func_def_796,type,
    sK198: fun_nat_bool > nat ).

tff(func_def_797,type,
    sK199: ( fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_798,type,
    sK200: ( fun_int_bool * fun_int_bool ) > int ).

tff(func_def_799,type,
    sK201: fun_Ho882550911a_bool > hoare_2076525193iple_a ).

tff(func_def_800,type,
    sK202: int ).

tff(func_def_801,type,
    sK203: int ).

tff(func_def_802,type,
    sK204: ( fun_Ho882550911a_bool * fun_Ho864122878_a_nat * fun_Ho864122878_a_nat ) > hoare_2076525193iple_a ).

tff(func_def_803,type,
    sK205: ( fun_nat_fun_nat_nat * nat * fun_nat_bool ) > nat ).

tff(func_def_804,type,
    sK206: ( fun_nat_int * fun_nat_bool * fun_nat_int ) > nat ).

tff(func_def_805,type,
    sK207: fun_Ho882550911a_bool > fun_Ho882550911a_bool ).

tff(func_def_806,type,
    sK208: fun_Ho882550911a_bool > hoare_2076525193iple_a ).

tff(func_def_807,type,
    sK209: ( fun_nat_nat * fun_nat_nat * fun_nat_bool ) > nat ).

tff(func_def_808,type,
    sK210: ( fun_int_bool * fun_int_bool ) > int ).

tff(func_def_809,type,
    sK211: fun_int_bool > int ).

tff(func_def_810,type,
    sK212: fun_Ho882550911a_bool > hoare_2076525193iple_a ).

tff(func_def_811,type,
    sK213: ( fun_int_bool * hoare_2076525193iple_a * fun_in1219646560iple_a ) > int ).

tff(func_def_812,type,
    sK214: ( nat * nat ) > nat ).

tff(func_def_813,type,
    sK215: ( fun_Ho882550911a_bool * fun_Ho882550911a_bool ) > hoare_2076525193iple_a ).

tff(func_def_814,type,
    sK216: fun_int_bool > int ).

tff(func_def_815,type,
    sK217: ( fun_nat_nat * fun_nat_bool * fun_nat_nat ) > nat ).

tff(func_def_816,type,
    sK218: fun_nat_bool > nat ).

tff(func_def_817,type,
    sK219: ( fun_Ho882550911a_bool * hoare_2076525193iple_a ) > hoare_2076525193iple_a ).

tff(func_def_818,type,
    sK220: fun_nat_nat > nat ).

tff(func_def_819,type,
    sK221: fun_nat_nat > nat ).

tff(func_def_820,type,
    sK222: fun_nat_bool > nat ).

tff(func_def_821,type,
    sK223: ( fun_nat_bool * nat ) > nat ).

tff(func_def_822,type,
    sK224: ( fun_nat_bool * nat ) > nat ).

tff(func_def_823,type,
    sK225: ( fun_Ho864122878_a_nat * fun_Ho882550911a_bool ) > hoare_2076525193iple_a ).

tff(func_def_824,type,
    sK226: fun_Ho882550911a_bool > fun_Ho882550911a_bool ).

tff(func_def_825,type,
    sK227: fun_Ho882550911a_bool > hoare_2076525193iple_a ).

tff(func_def_826,type,
    sK228: ( nat * nat * fun_nat_bool * fun_nat_fun_nat_nat ) > nat ).

tff(func_def_827,type,
    sK229: ( nat * nat * fun_nat_bool * fun_nat_fun_nat_nat ) > nat ).

tff(func_def_828,type,
    sK230: ( nat * nat * fun_nat_bool * fun_nat_fun_nat_nat ) > fun_nat_bool ).

tff(func_def_829,type,
    sK231: ( fun_int_bool * fun_int_int ) > int ).

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

tff(pred_def_2,type,
    sP0: ( fun_int_bool * int * fun_int_fun_int_int * int ) > $o ).

tff(pred_def_3,type,
    sP1: ( fun_int_bool * int ) > $o ).

tff(pred_def_4,type,
    sP2: ( hoare_2076525193iple_a * fun_Ho483360497iple_a * hoare_2076525193iple_a * fun_Ho882550911a_bool ) > $o ).

tff(pred_def_5,type,
    sP3: ( nat * nat * fun_nat_bool * fun_nat_fun_nat_nat ) > $o ).

tff(f8376,plain,
    $false,
    inference(subsumption_resolution,[],[f8375,f5404]) ).

tff(f5404,plain,
    ~ hBOOL(fFalse),
    inference(cnf_transformation,[],[f1207]) ).

tff(f1207,axiom,
    ~ hBOOL(fFalse),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).

tff(f8375,plain,
    hBOOL(fFalse),
    inference(forward_demodulation,[],[f8374,f6843]) ).

tff(f6843,plain,
    ! [X0: state,X1: bool] : ( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X1),X0) = X1 ),
    inference(cnf_transformation,[],[f2100]) ).

tff(f2100,plain,
    ! [X0: state,X1: bool] : ( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X1),X0) = X1 ),
    inference(rectify,[],[f1229]) ).

tff(f1229,axiom,
    ! [X289: state,X288: bool] : ( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X288),X289) = X288 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).

tff(f8374,plain,
    hBOOL(hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse),sK29(c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)),hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),g))),
    inference(forward_demodulation,[],[f8371,f6525]) ).

tff(f6525,plain,
    ! [X0: x_a,X1: fun_state_bool] : ( hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X1),X0) = X1 ),
    inference(cnf_transformation,[],[f1714]) ).

tff(f1714,plain,
    ! [X0: x_a,X1: fun_state_bool] : ( hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X1),X0) = X1 ),
    inference(rectify,[],[f1252]) ).

tff(f1252,axiom,
    ! [X289: x_a,X288: fun_state_bool] : ( hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X288),X289) = X288 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U) ).

tff(f8371,plain,
    hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),sK30(c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)),hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),g)),sK29(c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)),hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),g))),
    inference(unit_resulting_resolution,[],[f7865,f7711]) ).

tff(f7711,plain,
    ! [X2: fun_a_fun_state_bool,X3: fun_Ho882550911a_bool,X0: com,X1: fun_a_fun_state_bool] :
      ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK30(X0,X1,X2,X3)),sK29(X0,X1,X2,X3)))
      | hBOOL(hAPP_f500854239l_bool(hoare_572465367rivs_a(X3),hAPP_H2077279219a_bool(fequal1589671816iple_a,hoare_1876769875iple_a(X2,X0,X1)))) ),
    inference(backward_demodulation,[],[f7542,f6470]) ).

tff(f6470,plain,
    ! [X0: fun_Ho882550911a_bool] : ( hAPP_f642208769a_bool(collec977865374iple_a,X0) = X0 ),
    inference(cnf_transformation,[],[f1427]) ).

tff(f1427,plain,
    ! [X0: fun_Ho882550911a_bool] : ( hAPP_f642208769a_bool(collec977865374iple_a,X0) = X0 ),
    inference(rectify,[],[f200]) ).

tff(f200,axiom,
    ! [X10: fun_Ho882550911a_bool] : ( hAPP_f642208769a_bool(collec977865374iple_a,X10) = X10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_199_Collect__def) ).

tff(f7542,plain,
    ! [X2: fun_a_fun_state_bool,X3: fun_Ho882550911a_bool,X0: com,X1: fun_a_fun_state_bool] :
      ( hBOOL(hAPP_f500854239l_bool(hoare_572465367rivs_a(X3),hAPP_f642208769a_bool(collec977865374iple_a,hAPP_H2077279219a_bool(fequal1589671816iple_a,hoare_1876769875iple_a(X2,X0,X1)))))
      | hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK30(X0,X1,X2,X3)),sK29(X0,X1,X2,X3))) ),
    inference(forward_demodulation,[],[f5495,f6026]) ).

tff(f6026,plain,
    ! [X0: hoare_2076525193iple_a] : ( hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,X0),bot_bo214064617a_bool) = hAPP_f642208769a_bool(collec977865374iple_a,hAPP_H2077279219a_bool(fequal1589671816iple_a,X0)) ),
    inference(cnf_transformation,[],[f2609]) ).

tff(f2609,plain,
    ! [X0: hoare_2076525193iple_a] : ( hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,X0),bot_bo214064617a_bool) = hAPP_f642208769a_bool(collec977865374iple_a,hAPP_H2077279219a_bool(fequal1589671816iple_a,X0)) ),
    inference(rectify,[],[f20]) ).

tff(f20,axiom,
    ! [X20: hoare_2076525193iple_a] : ( hAPP_f642208769a_bool(collec977865374iple_a,hAPP_H2077279219a_bool(fequal1589671816iple_a,X20)) = hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,X20),bot_bo214064617a_bool) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_singleton__conv2) ).

tff(f5495,plain,
    ! [X2: fun_a_fun_state_bool,X3: fun_Ho882550911a_bool,X0: com,X1: fun_a_fun_state_bool] :
      ( hBOOL(hAPP_f500854239l_bool(hoare_572465367rivs_a(X3),hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,hoare_1876769875iple_a(X2,X0,X1)),bot_bo214064617a_bool)))
      | hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK30(X0,X1,X2,X3)),sK29(X0,X1,X2,X3))) ),
    inference(cnf_transformation,[],[f3935]) ).

tff(f3935,plain,
    ! [X0: com,X1: fun_a_fun_state_bool,X2: fun_a_fun_state_bool,X3: fun_Ho882550911a_bool] :
      ( ( ! [X6: fun_a_fun_state_bool,X7: fun_a_fun_state_bool] :
            ( ~ hBOOL(hAPP_f500854239l_bool(hoare_572465367rivs_a(X3),hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,hoare_1876769875iple_a(X7,X0,X6)),bot_bo214064617a_bool)))
            | ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK30(X0,X1,X2,X3)),sK31(X0,X1,X2,X3,X6,X7)))
              & ! [X9: x_a] :
                  ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),sK31(X0,X1,X2,X3,X6,X7)))
                  | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),sK29(X0,X1,X2,X3))) ) ) )
        & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK30(X0,X1,X2,X3)),sK29(X0,X1,X2,X3))) )
      | hBOOL(hAPP_f500854239l_bool(hoare_572465367rivs_a(X3),hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,hoare_1876769875iple_a(X2,X0,X1)),bot_bo214064617a_bool))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30,sK31])],[f3932,f3934,f3933]) ).

tff(f3933,plain,
    ! [X0: com,X1: fun_a_fun_state_bool,X2: fun_a_fun_state_bool,X3: fun_Ho882550911a_bool] :
      ( ? [X4: state,X5: x_a] :
          ( ! [X6: fun_a_fun_state_bool,X7: fun_a_fun_state_bool] :
              ( ~ hBOOL(hAPP_f500854239l_bool(hoare_572465367rivs_a(X3),hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,hoare_1876769875iple_a(X7,X0,X6)),bot_bo214064617a_bool)))
              | ? [X8: state] :
                  ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,X5),X8))
                  & ! [X9: x_a] :
                      ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),X8))
                      | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),X4)) ) ) )
          & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,X5),X4)) )
     => ( ! [X7: fun_a_fun_state_bool,X6: fun_a_fun_state_bool] :
            ( ~ hBOOL(hAPP_f500854239l_bool(hoare_572465367rivs_a(X3),hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,hoare_1876769875iple_a(X7,X0,X6)),bot_bo214064617a_bool)))
            | ? [X8: state] :
                ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK30(X0,X1,X2,X3)),X8))
                & ! [X9: x_a] :
                    ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),X8))
                    | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),sK29(X0,X1,X2,X3))) ) ) )
        & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK30(X0,X1,X2,X3)),sK29(X0,X1,X2,X3))) ) ),
    introduced(choice_axiom,[]) ).

tff(f3934,plain,
    ! [X0: com,X1: fun_a_fun_state_bool,X2: fun_a_fun_state_bool,X3: fun_Ho882550911a_bool,X6: fun_a_fun_state_bool,X7: fun_a_fun_state_bool] :
      ( ? [X8: state] :
          ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK30(X0,X1,X2,X3)),X8))
          & ! [X9: x_a] :
              ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),X8))
              | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),sK29(X0,X1,X2,X3))) ) )
     => ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK30(X0,X1,X2,X3)),sK31(X0,X1,X2,X3,X6,X7)))
        & ! [X9: x_a] :
            ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),sK31(X0,X1,X2,X3,X6,X7)))
            | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),sK29(X0,X1,X2,X3))) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f3932,plain,
    ! [X0: com,X1: fun_a_fun_state_bool,X2: fun_a_fun_state_bool,X3: fun_Ho882550911a_bool] :
      ( ? [X4: state,X5: x_a] :
          ( ! [X6: fun_a_fun_state_bool,X7: fun_a_fun_state_bool] :
              ( ~ hBOOL(hAPP_f500854239l_bool(hoare_572465367rivs_a(X3),hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,hoare_1876769875iple_a(X7,X0,X6)),bot_bo214064617a_bool)))
              | ? [X8: state] :
                  ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,X5),X8))
                  & ! [X9: x_a] :
                      ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),X8))
                      | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),X4)) ) ) )
          & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,X5),X4)) )
      | hBOOL(hAPP_f500854239l_bool(hoare_572465367rivs_a(X3),hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,hoare_1876769875iple_a(X2,X0,X1)),bot_bo214064617a_bool))) ),
    inference(rectify,[],[f3146]) ).

tff(f3146,plain,
    ! [X0: com,X2: fun_a_fun_state_bool,X1: fun_a_fun_state_bool,X3: fun_Ho882550911a_bool] :
      ( ? [X5: state,X4: x_a] :
          ( ! [X6: fun_a_fun_state_bool,X7: fun_a_fun_state_bool] :
              ( ~ hBOOL(hAPP_f500854239l_bool(hoare_572465367rivs_a(X3),hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,hoare_1876769875iple_a(X7,X0,X6)),bot_bo214064617a_bool)))
              | ? [X8: state] :
                  ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,X4),X8))
                  & ! [X9: x_a] :
                      ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),X8))
                      | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),X5)) ) ) )
          & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,X4),X5)) )
      | hBOOL(hAPP_f500854239l_bool(hoare_572465367rivs_a(X3),hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,hoare_1876769875iple_a(X1,X0,X2)),bot_bo214064617a_bool))) ),
    inference(ennf_transformation,[],[f2244]) ).

tff(f2244,plain,
    ! [X2: fun_a_fun_state_bool,X0: com,X3: fun_Ho882550911a_bool,X1: fun_a_fun_state_bool] :
      ( ! [X5: state,X4: x_a] :
          ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,X4),X5))
         => ? [X6: fun_a_fun_state_bool,X7: fun_a_fun_state_bool] :
              ( ! [X8: state] :
                  ( ! [X9: x_a] :
                      ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),X5))
                     => hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),X8)) )
                 => hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,X4),X8)) )
              & hBOOL(hAPP_f500854239l_bool(hoare_572465367rivs_a(X3),hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,hoare_1876769875iple_a(X7,X0,X6)),bot_bo214064617a_bool))) ) )
     => hBOOL(hAPP_f500854239l_bool(hoare_572465367rivs_a(X3),hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,hoare_1876769875iple_a(X1,X0,X2)),bot_bo214064617a_bool))) ),
    inference(rectify,[],[f124]) ).

tff(f124,axiom,
    ! [X11: com,X10: fun_a_fun_state_bool,X12: fun_a_fun_state_bool,X0: fun_Ho882550911a_bool] :
      ( ! [X14: x_a,X15: state] :
          ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X10,X14),X15))
         => ? [X36: fun_a_fun_state_bool,X35: fun_a_fun_state_bool] :
              ( ! [X18: state] :
                  ( ! [X19: x_a] :
                      ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X35,X19),X15))
                     => hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X36,X19),X18)) )
                 => hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X12,X14),X18)) )
              & hBOOL(hAPP_f500854239l_bool(hoare_572465367rivs_a(X0),hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,hoare_1876769875iple_a(X35,X11,X36)),bot_bo214064617a_bool))) ) )
     => hBOOL(hAPP_f500854239l_bool(hoare_572465367rivs_a(X0),hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,hoare_1876769875iple_a(X10,X11,X12)),bot_bo214064617a_bool))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_123_conseq) ).

tff(f7865,plain,
    ~ hBOOL(hAPP_f500854239l_bool(hoare_572465367rivs_a(g),hAPP_H2077279219a_bool(fequal1589671816iple_a,hoare_1876769875iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))))),
    inference(forward_demodulation,[],[f6355,f7670]) ).

tff(f7670,plain,
    ! [X0: hoare_2076525193iple_a] : ( hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,X0),bot_bo214064617a_bool) = hAPP_H2077279219a_bool(fequal1589671816iple_a,X0) ),
    inference(backward_demodulation,[],[f6026,f6470]) ).

tff(f6355,plain,
    ~ hBOOL(hAPP_f500854239l_bool(hoare_572465367rivs_a(g),hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,hoare_1876769875iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo214064617a_bool))),
    inference(cnf_transformation,[],[f1401]) ).

tff(f1401,plain,
    ~ hBOOL(hAPP_f500854239l_bool(hoare_572465367rivs_a(g),hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,hoare_1876769875iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo214064617a_bool))),
    inference(flattening,[],[f1365]) ).

tff(f1365,negated_conjecture,
    ~ hBOOL(hAPP_f500854239l_bool(hoare_572465367rivs_a(g),hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,hoare_1876769875iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo214064617a_bool))),
    inference(negated_conjecture,[],[f1364]) ).

tff(f1364,conjecture,
    hBOOL(hAPP_f500854239l_bool(hoare_572465367rivs_a(g),hAPP_f642208769a_bool(hAPP_H1940471919a_bool(insert1582918915iple_a,hoare_1876769875iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo214064617a_bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : SWW470_3 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 20:43:40 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.56  % (19315)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/498Mi)
% 0.19/0.56  % (19307)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 0.19/0.57  % (19299)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.12/0.61  % (19311)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.26/0.62  % (19297)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.26/0.62  % (19303)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.39/0.64  % (19319)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 1.39/0.64  % (19294)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.39/0.64  % (19320)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/177Mi)
% 1.39/0.64  % (19301)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.39/0.64  % (19321)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.39/0.64  % (19301)Instruction limit reached!
% 1.39/0.64  % (19301)------------------------------
% 1.39/0.64  % (19301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.64  % (19301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.64  % (19301)Termination reason: Unknown
% 1.39/0.64  % (19301)Termination phase: shuffling
% 1.39/0.64  
% 1.39/0.64  % (19301)Memory used [KB]: 2942
% 1.39/0.64  % (19301)Time elapsed: 0.002 s
% 1.39/0.64  % (19301)Instructions burned: 2 (million)
% 1.39/0.64  % (19301)------------------------------
% 1.39/0.64  % (19301)------------------------------
% 1.39/0.64  % (19318)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.39/0.64  % (19293)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/191324Mi)
% 1.39/0.64  % (19322)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/355Mi)
% 1.39/0.64  % (19295)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.39/0.64  % (19300)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.39/0.64  % (19298)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/48Mi)
% 1.39/0.65  % (19300)Instruction limit reached!
% 1.39/0.65  % (19300)------------------------------
% 1.39/0.65  % (19300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.65  % (19300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.65  % (19300)Termination reason: Unknown
% 1.39/0.65  % (19300)Termination phase: Preprocessing 1
% 1.39/0.65  
% 1.39/0.65  % (19300)Memory used [KB]: 3326
% 1.39/0.65  % (19300)Time elapsed: 0.006 s
% 1.39/0.65  % (19300)Instructions burned: 7 (million)
% 1.39/0.65  % (19300)------------------------------
% 1.39/0.65  % (19300)------------------------------
% 1.39/0.65  % (19304)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.39/0.65  % (19317)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.39/0.65  % (19296)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.39/0.65  % (19316)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/467Mi)
% 1.39/0.65  % (19309)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.39/0.65  % (19313)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/176Mi)
% 1.39/0.65  % (19310)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.39/0.65  % (19314)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.39/0.66  % (19299)Instruction limit reached!
% 1.39/0.66  % (19299)------------------------------
% 1.39/0.66  % (19299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.66  % (19308)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/75Mi)
% 1.39/0.66  % (19299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.66  % (19299)Termination reason: Unknown
% 1.39/0.66  % (19299)Termination phase: Preprocessing 3
% 1.39/0.66  
% 1.39/0.66  % (19299)Memory used [KB]: 5756
% 1.39/0.66  % (19299)Time elapsed: 0.047 s
% 1.39/0.66  % (19299)Instructions burned: 51 (million)
% 1.39/0.66  % (19299)------------------------------
% 1.39/0.66  % (19299)------------------------------
% 1.39/0.66  % (19312)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.39/0.66  % (19305)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.39/0.66  % (19302)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.39/0.66  % (19306)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.39/0.67  % (19307)Instruction limit reached!
% 1.39/0.67  % (19307)------------------------------
% 1.39/0.67  % (19307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.67  % (19307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.67  % (19307)Termination reason: Unknown
% 1.39/0.67  % (19307)Termination phase: Property scanning
% 1.39/0.67  
% 1.39/0.67  % (19307)Memory used [KB]: 6524
% 1.39/0.67  % (19307)Time elapsed: 0.067 s
% 1.39/0.67  % (19307)Instructions burned: 68 (million)
% 1.39/0.67  % (19307)------------------------------
% 1.39/0.67  % (19307)------------------------------
% 1.39/0.70  % (19295)Instruction limit reached!
% 1.39/0.70  % (19295)------------------------------
% 1.39/0.70  % (19295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.70  % (19295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.70  % (19295)Termination reason: Unknown
% 1.39/0.70  % (19295)Termination phase: Preprocessing 1
% 1.39/0.70  
% 1.39/0.70  % (19295)Memory used [KB]: 4477
% 1.39/0.70  % (19295)Time elapsed: 0.022 s
% 1.39/0.70  % (19295)Instructions burned: 37 (million)
% 1.39/0.70  % (19295)------------------------------
% 1.39/0.70  % (19295)------------------------------
% 1.39/0.70  % (19303)Instruction limit reached!
% 1.39/0.70  % (19303)------------------------------
% 1.39/0.70  % (19303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.70  % (19303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.70  % (19303)Termination reason: Unknown
% 1.39/0.70  % (19303)Termination phase: Preprocessing 3
% 1.39/0.70  
% 1.39/0.70  % (19303)Memory used [KB]: 5756
% 1.39/0.70  % (19303)Time elapsed: 0.037 s
% 1.39/0.70  % (19303)Instructions burned: 50 (million)
% 1.39/0.70  % (19303)------------------------------
% 1.39/0.70  % (19303)------------------------------
% 2.00/0.73  % (19298)Instruction limit reached!
% 2.00/0.73  % (19298)------------------------------
% 2.00/0.73  % (19298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.73  % (19298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.73  % (19298)Termination reason: Unknown
% 2.00/0.73  % (19298)Termination phase: Preprocessing 3
% 2.00/0.73  
% 2.00/0.73  % (19298)Memory used [KB]: 5628
% 2.00/0.73  % (19298)Time elapsed: 0.028 s
% 2.00/0.73  % (19298)Instructions burned: 48 (million)
% 2.00/0.73  % (19298)------------------------------
% 2.00/0.73  % (19298)------------------------------
% 2.00/0.73  % (19297)Instruction limit reached!
% 2.00/0.73  % (19297)------------------------------
% 2.00/0.73  % (19297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.73  % (19297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.73  % (19297)Termination reason: Unknown
% 2.00/0.73  % (19297)Termination phase: Preprocessing 3
% 2.00/0.73  
% 2.00/0.73  % (19297)Memory used [KB]: 5628
% 2.00/0.73  % (19297)Time elapsed: 0.030 s
% 2.00/0.73  % (19297)Instructions burned: 52 (million)
% 2.00/0.73  % (19297)------------------------------
% 2.00/0.73  % (19297)------------------------------
% 2.00/0.73  % (19319)Instruction limit reached!
% 2.00/0.73  % (19319)------------------------------
% 2.00/0.73  % (19319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.73  % (19319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.73  % (19319)Termination reason: Unknown
% 2.00/0.73  % (19319)Termination phase: Property scanning
% 2.00/0.73  
% 2.00/0.73  % (19319)Memory used [KB]: 6524
% 2.00/0.73  % (19319)Time elapsed: 0.055 s
% 2.00/0.73  % (19319)Instructions burned: 68 (million)
% 2.00/0.73  % (19319)------------------------------
% 2.00/0.73  % (19319)------------------------------
% 2.00/0.74  % (19296)Instruction limit reached!
% 2.00/0.74  % (19296)------------------------------
% 2.00/0.74  % (19296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.74  % (19296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.74  % (19296)Termination reason: Unknown
% 2.00/0.74  % (19296)Termination phase: Property scanning
% 2.00/0.74  
% 2.00/0.74  % (19296)Memory used [KB]: 6140
% 2.00/0.74  % (19296)Time elapsed: 0.029 s
% 2.00/0.74  % (19296)Instructions burned: 51 (million)
% 2.00/0.74  % (19296)------------------------------
% 2.00/0.74  % (19296)------------------------------
% 2.00/0.74  % (19311)Instruction limit reached!
% 2.00/0.74  % (19311)------------------------------
% 2.00/0.74  % (19311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.74  % (19311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.74  % (19311)Termination reason: Unknown
% 2.00/0.74  % (19311)Termination phase: Property scanning
% 2.00/0.74  
% 2.00/0.74  % (19311)Memory used [KB]: 6524
% 2.00/0.74  % (19311)Time elapsed: 0.072 s
% 2.00/0.74  % (19311)Instructions burned: 101 (million)
% 2.00/0.74  % (19311)------------------------------
% 2.00/0.74  % (19311)------------------------------
% 2.00/0.74  % (19294)Instruction limit reached!
% 2.00/0.74  % (19294)------------------------------
% 2.00/0.74  % (19294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.74  % (19294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.74  % (19294)Termination reason: Unknown
% 2.00/0.74  % (19294)Termination phase: Preprocessing 3
% 2.00/0.74  
% 2.00/0.74  % (19294)Memory used [KB]: 5756
% 2.00/0.74  % (19294)Time elapsed: 0.028 s
% 2.00/0.74  % (19294)Instructions burned: 50 (million)
% 2.00/0.74  % (19294)------------------------------
% 2.00/0.74  % (19294)------------------------------
% 2.00/0.74  % (19302)Instruction limit reached!
% 2.00/0.74  % (19302)------------------------------
% 2.00/0.74  % (19302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.74  % (19302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.74  % (19302)Termination reason: Unknown
% 2.00/0.74  % (19302)Termination phase: Preprocessing 3
% 2.00/0.74  
% 2.00/0.74  % (19302)Memory used [KB]: 5884
% 2.00/0.74  % (19302)Time elapsed: 0.028 s
% 2.00/0.74  % (19302)Instructions burned: 52 (million)
% 2.00/0.74  % (19302)------------------------------
% 2.00/0.74  % (19302)------------------------------
% 2.00/0.75  % (19310)Instruction limit reached!
% 2.00/0.75  % (19310)------------------------------
% 2.00/0.75  % (19310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.75  % (19310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.75  % (19310)Termination reason: Unknown
% 2.00/0.75  % (19310)Termination phase: Preprocessing 3
% 2.00/0.75  
% 2.00/0.75  % (19310)Memory used [KB]: 6268
% 2.00/0.75  % (19310)Time elapsed: 0.031 s
% 2.00/0.75  % (19310)Instructions burned: 60 (million)
% 2.00/0.75  % (19310)------------------------------
% 2.00/0.75  % (19310)------------------------------
% 2.43/0.78  % (19323)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.43/0.79  % (19324)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/211Mi)
% 2.43/0.79  % (19308)Instruction limit reached!
% 2.43/0.79  % (19308)------------------------------
% 2.43/0.79  % (19308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.79  % (19308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.79  % (19308)Termination reason: Unknown
% 2.43/0.79  % (19308)Termination phase: Property scanning
% 2.43/0.79  
% 2.43/0.79  % (19308)Memory used [KB]: 6524
% 2.43/0.79  % (19308)Time elapsed: 0.037 s
% 2.43/0.79  % (19308)Instructions burned: 77 (million)
% 2.43/0.79  % (19308)------------------------------
% 2.43/0.79  % (19308)------------------------------
% 2.43/0.80  % (19325)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.43/0.80  % (19305)Instruction limit reached!
% 2.43/0.80  % (19305)------------------------------
% 2.43/0.80  % (19305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.80  % (19305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.80  % (19305)Termination reason: Unknown
% 2.43/0.80  % (19305)Termination phase: Property scanning
% 2.43/0.80  
% 2.43/0.80  % (19305)Memory used [KB]: 6524
% 2.43/0.80  % (19305)Time elapsed: 0.045 s
% 2.43/0.80  % (19305)Instructions burned: 102 (million)
% 2.43/0.80  % (19305)------------------------------
% 2.43/0.80  % (19305)------------------------------
% 2.43/0.80  % (19309)Instruction limit reached!
% 2.43/0.80  % (19309)------------------------------
% 2.43/0.80  % (19309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.80  % (19309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.80  % (19309)Termination reason: Unknown
% 2.43/0.80  % (19309)Termination phase: Property scanning
% 2.43/0.80  
% 2.43/0.80  % (19309)Memory used [KB]: 6524
% 2.43/0.80  % (19309)Time elapsed: 0.045 s
% 2.43/0.80  % (19309)Instructions burned: 100 (million)
% 2.43/0.80  % (19309)------------------------------
% 2.43/0.80  % (19309)------------------------------
% 2.43/0.81  % (19326)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 2.43/0.81  % (19306)Instruction limit reached!
% 2.43/0.81  % (19306)------------------------------
% 2.43/0.81  % (19306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.81  % (19306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.81  % (19306)Termination reason: Unknown
% 2.43/0.81  % (19306)Termination phase: Property scanning
% 2.43/0.81  
% 2.43/0.81  % (19306)Memory used [KB]: 6524
% 2.43/0.81  % (19306)Time elapsed: 0.046 s
% 2.43/0.81  % (19306)Instructions burned: 102 (million)
% 2.43/0.81  % (19306)------------------------------
% 2.43/0.81  % (19306)------------------------------
% 2.43/0.82  % (19312)Instruction limit reached!
% 2.43/0.82  % (19312)------------------------------
% 2.43/0.82  % (19312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.82  % (19312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.82  % (19312)Termination reason: Unknown
% 2.43/0.82  % (19312)Termination phase: Property scanning
% 2.43/0.82  
% 2.43/0.82  % (19312)Memory used [KB]: 6524
% 2.43/0.82  % (19312)Time elapsed: 0.049 s
% 2.43/0.82  % (19312)Instructions burned: 101 (million)
% 2.43/0.82  % (19312)------------------------------
% 2.43/0.82  % (19312)------------------------------
% 2.43/0.82  % (19304)Instruction limit reached!
% 2.43/0.82  % (19304)------------------------------
% 2.43/0.82  % (19304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.82  % (19304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.82  % (19304)Termination reason: Unknown
% 2.43/0.82  % (19304)Termination phase: Property scanning
% 2.43/0.82  
% 2.43/0.82  % (19304)Memory used [KB]: 6268
% 2.43/0.82  % (19304)Time elapsed: 0.046 s
% 2.43/0.82  % (19304)Instructions burned: 103 (million)
% 2.43/0.82  % (19304)------------------------------
% 2.43/0.82  % (19304)------------------------------
% 2.43/0.83  % (19327)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.43/0.84  % (19331)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 2.43/0.85  % (19333)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.43/0.86  % (19314)Instruction limit reached!
% 2.43/0.86  % (19314)------------------------------
% 2.43/0.86  % (19314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.86  % (19314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.86  % (19314)Termination reason: Unknown
% 2.43/0.86  % (19314)Termination phase: Property scanning
% 2.43/0.86  
% 2.43/0.86  % (19314)Memory used [KB]: 6524
% 2.43/0.86  % (19314)Time elapsed: 0.060 s
% 2.43/0.86  % (19314)Instructions burned: 140 (million)
% 2.43/0.86  % (19314)------------------------------
% 2.43/0.86  % (19314)------------------------------
% 2.43/0.86  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.43/0.86  % (19332)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 2.43/0.87  % (19329)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 2.74/0.87  % (19328)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 2.74/0.88  % (19330)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.74/0.88  % (19335)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.74/0.88  % (19334)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.76/0.89  % (19336)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 2.76/0.91  % (19320)Instruction limit reached!
% 2.76/0.91  % (19320)------------------------------
% 2.76/0.91  % (19320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.91  % (19320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.91  % (19320)Termination reason: Unknown
% 2.76/0.91  % (19320)Termination phase: Saturation
% 2.76/0.91  
% 2.76/0.91  % (19320)Memory used [KB]: 7803
% 2.76/0.91  % (19320)Time elapsed: 0.077 s
% 2.76/0.91  % (19320)Instructions burned: 177 (million)
% 2.76/0.91  % (19320)------------------------------
% 2.76/0.91  % (19320)------------------------------
% 2.85/0.92  % (19313)Instruction limit reached!
% 2.85/0.92  % (19313)------------------------------
% 2.85/0.92  % (19313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.92  % (19313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.92  % (19313)Termination reason: Unknown
% 2.85/0.92  % (19313)Termination phase: Saturation
% 2.85/0.92  
% 2.85/0.92  % (19313)Memory used [KB]: 11641
% 2.85/0.92  % (19313)Time elapsed: 0.077 s
% 2.85/0.92  % (19313)Instructions burned: 177 (million)
% 2.85/0.92  % (19313)------------------------------
% 2.85/0.92  % (19313)------------------------------
% 2.88/0.93  % (19339)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 2.88/0.93  % (19325)Instruction limit reached!
% 2.88/0.93  % (19325)------------------------------
% 2.88/0.93  % (19325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.88/0.94  % (19342)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 2.88/0.94  % (19337)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 2.88/0.94  % (19325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.88/0.94  % (19325)Termination reason: Unknown
% 2.88/0.94  % (19325)Termination phase: Property scanning
% 2.88/0.94  
% 2.88/0.94  % (19325)Memory used [KB]: 6524
% 2.88/0.94  % (19325)Time elapsed: 0.043 s
% 2.88/0.94  % (19325)Instructions burned: 91 (million)
% 2.88/0.94  % (19325)------------------------------
% 2.88/0.94  % (19325)------------------------------
% 2.88/0.94  % (19338)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 2.88/0.95  % (19340)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 2.88/0.96  % (19341)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 2.88/0.98  % (19330)Instruction limit reached!
% 2.88/0.98  % (19330)------------------------------
% 2.88/0.98  % (19330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.88/0.98  % (19330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.88/0.98  % (19330)Termination reason: Unknown
% 2.88/0.98  % (19330)Termination phase: Property scanning
% 2.88/0.98  
% 2.88/0.98  % (19330)Memory used [KB]: 6524
% 2.88/0.98  % (19330)Time elapsed: 0.036 s
% 2.88/0.98  % (19330)Instructions burned: 69 (million)
% 2.88/0.98  % (19330)------------------------------
% 2.88/0.98  % (19330)------------------------------
% 2.88/1.00  % (19333)Instruction limit reached!
% 2.88/1.00  % (19333)------------------------------
% 2.88/1.00  % (19333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.88/1.00  % (19333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.88/1.00  % (19333)Termination reason: Unknown
% 2.88/1.00  % (19333)Termination phase: Property scanning
% 2.88/1.00  
% 2.88/1.00  % (19333)Memory used [KB]: 6524
% 2.88/1.00  % (19333)Time elapsed: 0.077 s
% 2.88/1.00  % (19333)Instructions burned: 92 (million)
% 2.88/1.00  % (19333)------------------------------
% 2.88/1.00  % (19333)------------------------------
% 3.31/1.01  % (19343)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 3.31/1.04  % (19345)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.31/1.05  % (19344)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 3.31/1.06  % (19340)Instruction limit reached!
% 3.31/1.06  % (19340)------------------------------
% 3.31/1.06  % (19340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/1.06  % (19340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/1.06  % (19340)Termination reason: Unknown
% 3.31/1.06  % (19340)Termination phase: Property scanning
% 3.31/1.06  
% 3.31/1.06  % (19340)Memory used [KB]: 6524
% 3.31/1.06  % (19340)Time elapsed: 0.034 s
% 3.31/1.06  % (19340)Instructions burned: 69 (million)
% 3.31/1.06  % (19340)------------------------------
% 3.31/1.06  % (19340)------------------------------
% 3.31/1.06  % (19346)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2016Mi)
% 3.47/1.11  % (19324)Instruction limit reached!
% 3.47/1.11  % (19324)------------------------------
% 3.47/1.11  % (19324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.47/1.11  % (19324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.47/1.11  % (19324)Termination reason: Unknown
% 3.47/1.11  % (19324)Termination phase: Saturation
% 3.47/1.11  
% 3.47/1.11  % (19324)Memory used [KB]: 8187
% 3.47/1.11  % (19324)Time elapsed: 0.095 s
% 3.47/1.11  % (19324)Instructions burned: 213 (million)
% 3.47/1.11  % (19324)------------------------------
% 3.47/1.11  % (19324)------------------------------
% 3.47/1.12  % (19347)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 3.47/1.15  % (19348)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9965Mi)
% 5.73/1.18  % (19345)Instruction limit reached!
% 5.73/1.18  % (19345)------------------------------
% 5.73/1.18  % (19345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.73/1.18  % (19345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.73/1.18  % (19345)Termination reason: Unknown
% 5.73/1.18  % (19345)Termination phase: Property scanning
% 5.73/1.18  
% 5.73/1.18  % (19345)Memory used [KB]: 6524
% 5.73/1.18  % (19345)Time elapsed: 0.042 s
% 5.73/1.18  % (19345)Instructions burned: 93 (million)
% 5.73/1.18  % (19345)------------------------------
% 5.73/1.18  % (19345)------------------------------
% 5.87/1.20  % (19349)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9877Mi)
% 6.05/1.27  % (19350)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9902Mi)
% 6.05/1.28  % (19315)Instruction limit reached!
% 6.05/1.28  % (19315)------------------------------
% 6.05/1.28  % (19315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.05/1.28  % (19315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.05/1.28  % (19315)Termination reason: Unknown
% 6.05/1.28  % (19315)Termination phase: Saturation
% 6.05/1.28  
% 6.05/1.28  % (19315)Memory used [KB]: 9722
% 6.05/1.28  % (19315)Time elapsed: 0.753 s
% 6.05/1.28  % (19315)Instructions burned: 498 (million)
% 6.05/1.28  % (19315)------------------------------
% 6.05/1.28  % (19315)------------------------------
% 6.05/1.29  % (19322)Instruction limit reached!
% 6.05/1.29  % (19322)------------------------------
% 6.05/1.29  % (19322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.05/1.29  % (19322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.05/1.29  % (19322)Termination reason: Unknown
% 6.05/1.29  % (19322)Termination phase: Saturation
% 6.05/1.29  
% 6.05/1.29  % (19322)Memory used [KB]: 14328
% 6.05/1.29  % (19322)Time elapsed: 0.737 s
% 6.05/1.29  % (19322)Instructions burned: 356 (million)
% 6.05/1.29  % (19322)------------------------------
% 6.05/1.29  % (19322)------------------------------
% 6.64/1.32  % (19351)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1824Mi)
% 7.17/1.37  % (19323)Instruction limit reached!
% 7.17/1.37  % (19323)------------------------------
% 7.17/1.37  % (19323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.17/1.37  % (19323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.17/1.37  % (19323)Termination reason: Unknown
% 7.17/1.37  % (19323)Termination phase: Saturation
% 7.17/1.37  
% 7.17/1.37  % (19323)Memory used [KB]: 13560
% 7.17/1.37  % (19323)Time elapsed: 0.660 s
% 7.17/1.37  % (19323)Instructions burned: 389 (million)
% 7.17/1.37  % (19323)------------------------------
% 7.17/1.37  % (19323)------------------------------
% 7.17/1.42  % (19321)Instruction limit reached!
% 7.17/1.42  % (19321)------------------------------
% 7.17/1.42  % (19321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.17/1.42  % (19321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.17/1.42  % (19321)Termination reason: Unknown
% 7.17/1.42  % (19321)Termination phase: Saturation
% 7.17/1.42  
% 7.17/1.42  % (19321)Memory used [KB]: 14072
% 7.17/1.42  % (19321)Time elapsed: 0.906 s
% 7.17/1.42  % (19321)Instructions burned: 439 (million)
% 7.17/1.42  % (19321)------------------------------
% 7.17/1.42  % (19321)------------------------------
% 7.17/1.43  % (19353)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 7.17/1.44  % (19317)Instruction limit reached!
% 7.17/1.44  % (19317)------------------------------
% 7.17/1.44  % (19317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.17/1.44  % (19317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.17/1.44  % (19317)Termination reason: Unknown
% 7.17/1.44  % (19317)Termination phase: Saturation
% 7.17/1.44  
% 7.17/1.44  % (19317)Memory used [KB]: 14711
% 7.17/1.44  % (19317)Time elapsed: 0.854 s
% 7.17/1.44  % (19317)Instructions burned: 483 (million)
% 7.17/1.44  % (19317)------------------------------
% 7.17/1.44  % (19317)------------------------------
% 7.17/1.44  % (19316)Instruction limit reached!
% 7.17/1.44  % (19316)------------------------------
% 7.17/1.44  % (19316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.17/1.44  % (19316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.17/1.44  % (19316)Termination reason: Unknown
% 7.17/1.44  % (19316)Termination phase: Saturation
% 7.17/1.44  
% 7.17/1.44  % (19316)Memory used [KB]: 15991
% 7.17/1.44  % (19316)Time elapsed: 0.914 s
% 7.17/1.44  % (19316)Instructions burned: 469 (million)
% 7.17/1.44  % (19316)------------------------------
% 7.17/1.44  % (19316)------------------------------
% 7.17/1.44  % (19318)Instruction limit reached!
% 7.17/1.44  % (19318)------------------------------
% 7.17/1.44  % (19318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.17/1.44  % (19318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.17/1.44  % (19318)Termination reason: Unknown
% 7.17/1.44  % (19318)Termination phase: Saturation
% 7.17/1.44  
% 7.17/1.44  % (19318)Memory used [KB]: 13688
% 7.17/1.44  % (19318)Time elapsed: 0.915 s
% 7.17/1.44  % (19318)Instructions burned: 501 (million)
% 7.17/1.44  % (19318)------------------------------
% 7.17/1.44  % (19318)------------------------------
% 7.17/1.45  % (19352)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9989Mi)
% 7.91/1.47  % (19332)First to succeed.
% 8.06/1.50  % (19332)Refutation found. Thanks to Tanya!
% 8.06/1.50  % SZS status Theorem for theBenchmark
% 8.06/1.50  % SZS output start Proof for theBenchmark
% See solution above
% 8.06/1.51  % (19332)------------------------------
% 8.06/1.51  % (19332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.06/1.51  % (19332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.06/1.51  % (19332)Termination reason: Refutation
% 8.06/1.51  
% 8.06/1.51  % (19332)Memory used [KB]: 14200
% 8.06/1.51  % (19332)Time elapsed: 0.700 s
% 8.06/1.51  % (19332)Instructions burned: 365 (million)
% 8.06/1.51  % (19332)------------------------------
% 8.06/1.51  % (19332)------------------------------
% 8.06/1.51  % (19292)Success in time 1.155 s
%------------------------------------------------------------------------------