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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW474_3 : TPTP v9.3.1. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:40:11 PM UTC 2026

% Result   : Theorem 79.05s 14.89s
% Output   : Refutation 79.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   85 (  42 unt;   0 typ;   6 def)
%            Number of atoms       :  163 (  22 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  147 (  69   ~;  65   |;   0   &)
%                                         (   6 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of types       :  274 ( 273 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   7 usr;   7 prp; 0-2 aty)
%            Number of functors    :  838 ( 838 usr; 192 con; 0-6 aty)
%            Number of variables   :   57 (   0 sgn  57   !;   0   ?;  57   :)

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

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

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

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

tff(type_def_9,type,
    hoare_363350478_state: $tType ).

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

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

tff(type_def_12,type,
    option131732143_state: $tType ).

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

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

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

tff(type_def_16,type,
    fun_co482540593_state: $tType ).

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

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

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

tff(type_def_20,type,
    fun_co2083758390me_com: $tType ).

tff(type_def_21,type,
    fun_co1877906717e_bool: $tType ).

tff(type_def_22,type,
    fun_co2042843794l_bool: $tType ).

tff(type_def_23,type,
    fun_co762074576te_com: $tType ).

tff(type_def_24,type,
    fun_co1098712835e_bool: $tType ).

tff(type_def_25,type,
    fun_co1990488286ol_com: $tType ).

tff(type_def_26,type,
    fun_co1633267573l_bool: $tType ).

tff(type_def_27,type,
    fun_co2038576728m_bool: $tType ).

tff(type_def_28,type,
    fun_co2056507177_state: $tType ).

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

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

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

tff(type_def_32,type,
    fun_pn1262351275_state: $tType ).

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

tff(type_def_34,type,
    fun_pn1342468758_pname: $tType ).

tff(type_def_35,type,
    fun_pn1405249832_state: $tType ).

tff(type_def_36,type,
    fun_pn1231525149m_bool: $tType ).

tff(type_def_37,type,
    fun_pn203430818_state: $tType ).

tff(type_def_38,type,
    fun_pn1208287926_pname: $tType ).

tff(type_def_39,type,
    fun_pn800050071e_bool: $tType ).

tff(type_def_40,type,
    fun_pn12888928e_bool: $tType ).

tff(type_def_41,type,
    fun_pn250273176l_bool: $tType ).

tff(type_def_42,type,
    fun_pn924025796_pname: $tType ).

tff(type_def_43,type,
    fun_pn1521100553e_bool: $tType ).

tff(type_def_44,type,
    fun_pn983485306_state: $tType ).

tff(type_def_45,type,
    fun_pn1681257857_state: $tType ).

tff(type_def_46,type,
    fun_pn1824415994m_bool: $tType ).

tff(type_def_47,type,
    fun_pn1580610524on_com: $tType ).

tff(type_def_48,type,
    fun_pn1673019570on_com: $tType ).

tff(type_def_49,type,
    fun_pn1480819160_pname: $tType ).

tff(type_def_50,type,
    fun_pn422929397l_bool: $tType ).

tff(type_def_51,type,
    fun_pn479984722e_bool: $tType ).

tff(type_def_52,type,
    fun_pn640817967_state: $tType ).

tff(type_def_53,type,
    fun_pn1419495779l_bool: $tType ).

tff(type_def_54,type,
    fun_pn73701814e_bool: $tType ).

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

tff(type_def_56,type,
    fun_st1506752259e_bool: $tType ).

tff(type_def_57,type,
    fun_st858662806e_bool: $tType ).

tff(type_def_58,type,
    fun_st2116860965l_bool: $tType ).

tff(type_def_59,type,
    fun_st2063251938l_bool: $tType ).

tff(type_def_60,type,
    fun_st1483075957e_bool: $tType ).

tff(type_def_61,type,
    fun_st277393160e_bool: $tType ).

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

tff(type_def_63,type,
    fun_bo248466946m_bool: $tType ).

tff(type_def_64,type,
    fun_bo1031758332e_bool: $tType ).

tff(type_def_65,type,
    fun_bo1936561970e_bool: $tType ).

tff(type_def_66,type,
    fun_bo898473669e_bool: $tType ).

tff(type_def_67,type,
    fun_bo1549164019l_bool: $tType ).

tff(type_def_68,type,
    fun_bo981624292e_bool: $tType ).

tff(type_def_69,type,
    fun_bo1278783462_state: $tType ).

tff(type_def_70,type,
    fun_bo79750167on_com: $tType ).

tff(type_def_71,type,
    fun_bo444614480l_bool: $tType ).

tff(type_def_72,type,
    fun_bo492988759l_bool: $tType ).

tff(type_def_73,type,
    fun_bo1141276881l_bool: $tType ).

tff(type_def_74,type,
    fun_bo186417352l_bool: $tType ).

tff(type_def_75,type,
    fun_Ho938602221te_com: $tType ).

tff(type_def_76,type,
    fun_Ho713471079_pname: $tType ).

tff(type_def_77,type,
    fun_Ho320143120e_bool: $tType ).

tff(type_def_78,type,
    fun_Ho901937921_state: $tType ).

tff(type_def_79,type,
    fun_Ho12798188_pname: $tType ).

tff(type_def_80,type,
    fun_Ho382349394_state: $tType ).

tff(type_def_81,type,
    fun_Ho108306547m_bool: $tType ).

tff(type_def_82,type,
    fun_Ho1661679588_state: $tType ).

tff(type_def_83,type,
    fun_Ho1262521325e_bool: $tType ).

tff(type_def_84,type,
    fun_Ho1546669662_state: $tType ).

tff(type_def_85,type,
    fun_Ho544647106l_bool: $tType ).

tff(type_def_86,type,
    fun_Ho424838195e_bool: $tType ).

tff(type_def_87,type,
    fun_Ho31865764_state: $tType ).

tff(type_def_88,type,
    fun_Ho769804319l_bool: $tType ).

tff(type_def_89,type,
    fun_Ho177530809l_bool: $tType ).

tff(type_def_90,type,
    fun_Ho1583608874_state: $tType ).

tff(type_def_91,type,
    fun_Ho1500656352e_bool: $tType ).

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

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

tff(type_def_94,type,
    fun_op606842979on_com: $tType ).

tff(type_def_95,type,
    fun_op956372318e_bool: $tType ).

tff(type_def_96,type,
    fun_op723812928on_com: $tType ).

tff(type_def_97,type,
    fun_op2091355123m_bool: $tType ).

tff(type_def_98,type,
    fun_op564655445on_com: $tType ).

tff(type_def_99,type,
    fun_op1147759164_pname: $tType ).

tff(type_def_100,type,
    fun_op1062082070_state: $tType ).

tff(type_def_101,type,
    fun_fu961305709e_bool: $tType ).

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

tff(type_def_103,type,
    fun_fu1362071682l_bool: $tType ).

tff(type_def_104,type,
    fun_fu241528037m_bool: $tType ).

tff(type_def_105,type,
    fun_fu1725012936m_bool: $tType ).

tff(type_def_106,type,
    fun_fu1647467459l_bool: $tType ).

tff(type_def_107,type,
    fun_fu128859999e_bool: $tType ).

tff(type_def_108,type,
    fun_fu1645348161e_bool: $tType ).

tff(type_def_109,type,
    fun_fu1132372403l_bool: $tType ).

tff(type_def_110,type,
    fun_fu1107293590m_bool: $tType ).

tff(type_def_111,type,
    fun_fu728239619e_bool: $tType ).

tff(type_def_112,type,
    fun_fu909811272m_bool: $tType ).

tff(type_def_113,type,
    fun_fu262322603m_bool: $tType ).

tff(type_def_114,type,
    fun_fu150188134m_bool: $tType ).

tff(type_def_115,type,
    fun_fu1187323423m_bool: $tType ).

tff(type_def_116,type,
    fun_fu323352464m_bool: $tType ).

tff(type_def_117,type,
    fun_fu797503213m_bool: $tType ).

tff(type_def_118,type,
    fun_fu1884963949m_bool: $tType ).

tff(type_def_119,type,
    fun_fu2147318701m_bool: $tType ).

tff(type_def_120,type,
    fun_fu3288455_state: $tType ).

tff(type_def_121,type,
    fun_fu753347689_state: $tType ).

tff(type_def_122,type,
    fun_fu264874349e_bool: $tType ).

tff(type_def_123,type,
    fun_fu78728705ol_com: $tType ).

tff(type_def_124,type,
    fun_fu1499449723_pname: $tType ).

tff(type_def_125,type,
    fun_fu1430349052l_bool: $tType ).

tff(type_def_126,type,
    fun_fu54631149_state: $tType ).

tff(type_def_127,type,
    fun_fu1725712479m_bool: $tType ).

tff(type_def_128,type,
    fun_fu121404128_state: $tType ).

tff(type_def_129,type,
    fun_fu410713561e_bool: $tType ).

tff(type_def_130,type,
    fun_fu1286003254e_bool: $tType ).

tff(type_def_131,type,
    fun_fu152205775l_bool: $tType ).

tff(type_def_132,type,
    fun_fu538492704_state: $tType ).

tff(type_def_133,type,
    fun_fu637830609on_com: $tType ).

tff(type_def_134,type,
    fun_fu1022316450e_bool: $tType ).

tff(type_def_135,type,
    fun_fu31783638l_bool: $tType ).

tff(type_def_136,type,
    fun_fu1937087815e_bool: $tType ).

tff(type_def_137,type,
    fun_fu802393907l_bool: $tType ).

tff(type_def_138,type,
    fun_fu2101097872e_bool: $tType ).

tff(type_def_139,type,
    fun_fu1476767085_state: $tType ).

tff(type_def_140,type,
    fun_fu1684034981l_bool: $tType ).

tff(type_def_141,type,
    fun_fu931343505l_bool: $tType ).

tff(type_def_142,type,
    fun_fu998441198e_bool: $tType ).

tff(type_def_143,type,
    fun_fu1232732404l_bool: $tType ).

tff(type_def_144,type,
    fun_fu1404073531_state: $tType ).

tff(type_def_145,type,
    fun_fu1182643087e_bool: $tType ).

tff(type_def_146,type,
    fun_fu799108608_state: $tType ).

tff(type_def_147,type,
    fun_fu1749197244e_bool: $tType ).

tff(type_def_148,type,
    fun_fu1742234008me_com: $tType ).

tff(type_def_149,type,
    fun_fu311741085on_com: $tType ).

tff(type_def_150,type,
    fun_fu413870927m_bool: $tType ).

tff(type_def_151,type,
    fun_fu544728625on_com: $tType ).

tff(type_def_152,type,
    fun_fu17282820_state: $tType ).

tff(type_def_153,type,
    fun_fu25451830e_bool: $tType ).

tff(type_def_154,type,
    fun_fu577621651e_bool: $tType ).

tff(type_def_155,type,
    fun_fu1779604751l_bool: $tType ).

tff(type_def_156,type,
    fun_fu400535020e_bool: $tType ).

tff(type_def_157,type,
    fun_fu1117478128_state: $tType ).

tff(type_def_158,type,
    fun_fu1258737587_state: $tType ).

tff(type_def_159,type,
    fun_fu1576495102e_bool: $tType ).

tff(type_def_160,type,
    fun_fu1935134213l_bool: $tType ).

tff(type_def_161,type,
    fun_fu1270025057e_bool: $tType ).

tff(type_def_162,type,
    fun_fu1269246_state: $tType ).

tff(type_def_163,type,
    fun_fu1853703270_state: $tType ).

tff(type_def_164,type,
    fun_fu1324476193e_bool: $tType ).

tff(type_def_165,type,
    fun_fu1908735358on_com: $tType ).

tff(type_def_166,type,
    fun_fu1867668424on_com: $tType ).

tff(type_def_167,type,
    fun_fu696558561e_bool: $tType ).

tff(type_def_168,type,
    fun_fu1018334113e_bool: $tType ).

tff(type_def_169,type,
    fun_fu719860798_state: $tType ).

tff(type_def_170,type,
    fun_fu440800555e_bool: $tType ).

tff(type_def_171,type,
    fun_fu1259744701e_bool: $tType ).

tff(type_def_172,type,
    fun_fu93307442l_bool: $tType ).

tff(type_def_173,type,
    fun_fu373216837e_bool: $tType ).

tff(type_def_174,type,
    fun_fu1998731480e_bool: $tType ).

tff(type_def_175,type,
    fun_fu1658206819l_bool: $tType ).

tff(type_def_176,type,
    fun_fu1425861174_state: $tType ).

tff(type_def_177,type,
    fun_fu515363031_state: $tType ).

tff(type_def_178,type,
    fun_fu2104550360e_bool: $tType ).

tff(type_def_179,type,
    fun_fu402792811e_bool: $tType ).

tff(type_def_180,type,
    fun_fu475229566e_bool: $tType ).

tff(type_def_181,type,
    fun_fu1982748883l_bool: $tType ).

tff(type_def_182,type,
    fun_fu1867913342e_bool: $tType ).

tff(type_def_183,type,
    fun_fu1454697805e_bool: $tType ).

tff(type_def_184,type,
    fun_fu1088452192e_bool: $tType ).

tff(type_def_185,type,
    fun_fu1219323149e_bool: $tType ).

tff(type_def_186,type,
    fun_fu1047394976e_bool: $tType ).

tff(type_def_187,type,
    fun_fu13754701e_bool: $tType ).

tff(type_def_188,type,
    fun_fu1436120077e_bool: $tType ).

tff(type_def_189,type,
    fun_fu1255657237l_bool: $tType ).

tff(type_def_190,type,
    fun_fu701319549l_bool: $tType ).

tff(type_def_191,type,
    fun_fu1902738103e_bool: $tType ).

tff(type_def_192,type,
    fun_fu1203007991ol_com: $tType ).

tff(type_def_193,type,
    fun_fu2380401_pname: $tType ).

tff(type_def_194,type,
    fun_fu1996308102l_bool: $tType ).

tff(type_def_195,type,
    fun_fu700438391_state: $tType ).

tff(type_def_196,type,
    fun_fu1829847273m_bool: $tType ).

tff(type_def_197,type,
    fun_fu47394518_state: $tType ).

tff(type_def_198,type,
    fun_fu665342307e_bool: $tType ).

tff(type_def_199,type,
    fun_fu1670517174e_bool: $tType ).

tff(type_def_200,type,
    fun_fu1232608556e_bool: $tType ).

tff(type_def_201,type,
    fun_fu24650956l_bool: $tType ).

tff(type_def_202,type,
    fun_fu1066574909e_bool: $tType ).

tff(type_def_203,type,
    fun_fu1212692075l_bool: $tType ).

tff(type_def_204,type,
    fun_fu296346460e_bool: $tType ).

tff(type_def_205,type,
    fun_fu1099743017l_bool: $tType ).

tff(type_def_206,type,
    fun_fu422494307_state: $tType ).

tff(type_def_207,type,
    fun_fu2036837167l_bool: $tType ).

tff(type_def_208,type,
    fun_fu531943146e_bool: $tType ).

tff(type_def_209,type,
    fun_fu1467933941l_bool: $tType ).

tff(type_def_210,type,
    fun_fu1271036068e_bool: $tType ).

tff(type_def_211,type,
    fun_fu1997055262l_bool: $tType ).

tff(type_def_212,type,
    fun_fu513998669e_bool: $tType ).

tff(type_def_213,type,
    fun_fu323425945e_bool: $tType ).

tff(type_def_214,type,
    fun_fu1117089189l_bool: $tType ).

tff(type_def_215,type,
    fun_fu1914413292e_bool: $tType ).

tff(type_def_216,type,
    fun_fu956445838e_bool: $tType ).

tff(type_def_217,type,
    fun_fu1590463051e_bool: $tType ).

tff(type_def_218,type,
    fun_fu390015671l_bool: $tType ).

tff(type_def_219,type,
    fun_fu708272248e_bool: $tType ).

tff(type_def_220,type,
    fun_fu1211884491e_bool: $tType ).

tff(type_def_221,type,
    fun_fu90083841e_bool: $tType ).

tff(type_def_222,type,
    fun_fu739615905e_bool: $tType ).

tff(type_def_223,type,
    fun_fu1004917649m_bool: $tType ).

tff(type_def_224,type,
    fun_fu2101253843_state: $tType ).

tff(type_def_225,type,
    fun_fu265667599e_bool: $tType ).

tff(type_def_226,type,
    fun_fu399576434l_bool: $tType ).

tff(type_def_227,type,
    fun_fu608906319e_bool: $tType ).

tff(type_def_228,type,
    fun_fu2094240849e_bool: $tType ).

tff(type_def_229,type,
    fun_fu2087345469l_bool: $tType ).

tff(type_def_230,type,
    fun_fu1747008875l_bool: $tType ).

tff(type_def_231,type,
    fun_fu1201163592l_bool: $tType ).

tff(type_def_232,type,
    fun_fu1911931399l_bool: $tType ).

tff(type_def_233,type,
    fun_fu1759027710l_bool: $tType ).

tff(type_def_234,type,
    fun_fu274677197e_bool: $tType ).

tff(type_def_235,type,
    fun_fu319306468_state: $tType ).

tff(type_def_236,type,
    fun_fu154623769l_bool: $tType ).

tff(type_def_237,type,
    fun_fu411634056_state: $tType ).

tff(type_def_238,type,
    fun_fu717443355_state: $tType ).

tff(type_def_239,type,
    fun_fu502368472l_bool: $tType ).

tff(type_def_240,type,
    fun_fu1582046155l_bool: $tType ).

tff(type_def_241,type,
    fun_fu1901728075l_bool: $tType ).

tff(type_def_242,type,
    fun_fu1914144780l_bool: $tType ).

tff(type_def_243,type,
    fun_fu532860805e_bool: $tType ).

tff(type_def_244,type,
    fun_fu1061167308_state: $tType ).

tff(type_def_245,type,
    fun_fu445680937l_bool: $tType ).

tff(type_def_246,type,
    fun_fu1958014113l_bool: $tType ).

tff(type_def_247,type,
    fun_fu1414752361_state: $tType ).

tff(type_def_248,type,
    fun_fu333202797e_bool: $tType ).

tff(type_def_249,type,
    fun_fu1972704968l_bool: $tType ).

tff(type_def_250,type,
    fun_fu1792383909e_bool: $tType ).

tff(type_def_251,type,
    fun_fu1671561851e_bool: $tType ).

tff(type_def_252,type,
    fun_fu1858490225l_bool: $tType ).

tff(type_def_253,type,
    fun_fu253717047l_bool: $tType ).

tff(type_def_254,type,
    fun_fu2118416282l_bool: $tType ).

tff(type_def_255,type,
    fun_fu1575689779l_bool: $tType ).

tff(type_def_256,type,
    fun_fu1392972380l_bool: $tType ).

tff(type_def_257,type,
    fun_fu900385015e_bool: $tType ).

tff(type_def_258,type,
    fun_fu1698101968_state: $tType ).

tff(type_def_259,type,
    fun_fu765334827l_bool: $tType ).

tff(type_def_260,type,
    fun_fu543459464_state: $tType ).

tff(type_def_261,type,
    fun_fu2064421403_state: $tType ).

tff(type_def_262,type,
    fun_fu1214779746l_bool: $tType ).

tff(type_def_263,type,
    fun_fu2114617849l_bool: $tType ).

tff(type_def_264,type,
    fun_fu720446882_state: $tType ).

tff(type_def_265,type,
    fun_fu103205827l_bool: $tType ).

tff(type_def_266,type,
    fun_fu1005788192l_bool: $tType ).

tff(type_def_267,type,
    fun_fu1281251517e_bool: $tType ).

tff(type_def_268,type,
    fun_fu634959481l_bool: $tType ).

tff(type_def_269,type,
    fun_fu1987524409l_bool: $tType ).

tff(type_def_270,type,
    fun_fu1438281908l_bool: $tType ).

tff(type_def_271,type,
    fun_fu1610316873l_bool: $tType ).

tff(type_def_272,type,
    fun_fu1787620979l_bool: $tType ).

tff(type_def_273,type,
    fun_fu427611837l_bool: $tType ).

tff(type_def_274,type,
    fun_fu1165654846l_bool: $tType ).

tff(type_def_275,type,
    fun_fu1305195069l_bool: $tType ).

tff(type_def_276,type,
    fun_fu541826379l_bool: $tType ).

tff(type_def_277,type,
    fun_fu357036829l_bool: $tType ).

tff(func_def_0,type,
    big_la28065288e_bool: fun_fu608906319e_bool ).

tff(func_def_1,type,
    big_la1639670082e_bool: fun_fu1671561851e_bool ).

tff(func_def_2,type,
    cOMBB_424558970_pname: fun_co482540593_state > fun_fu3288455_state ).

tff(func_def_3,type,
    cOMBB_1083901850ol_com: fun_pn800050071e_bool > fun_fu961305709e_bool ).

tff(func_def_4,type,
    cOMBB_542850580_pname: fun_pn800050071e_bool > fun_fu264874349e_bool ).

tff(func_def_5,type,
    cOMBB_951329022_state: fun_pn800050071e_bool > fun_fu1902738103e_bool ).

tff(func_def_6,type,
    cOMBB_598082538e_bool: fun_pn800050071e_bool > fun_fu265667599e_bool ).

tff(func_def_7,type,
    cOMBB_655928288e_bool: fun_pn800050071e_bool > fun_fu333202797e_bool ).

tff(func_def_8,type,
    cOMBB_bool_bool_com: fun_bool_bool > fun_fu241528037m_bool ).

tff(func_def_9,type,
    cOMBB_647938656_pname: fun_bool_bool > fun_fu410713561e_bool ).

tff(func_def_10,type,
    cOMBB_160679318_state: fun_bool_bool > fun_fu373216837e_bool ).

tff(func_def_11,type,
    cOMBB_2059354034_state: fun_bool_bool > fun_fu1066574909e_bool ).

tff(func_def_12,type,
    cOMBB_307249310e_bool: fun_bool_bool > fun_fu2087345469l_bool ).

tff(func_def_13,type,
    cOMBB_941362220e_bool: fun_bool_bool > fun_fu1858490225l_bool ).

tff(func_def_14,type,
    cOMBB_886968260ol_com: fun_bo1549164019l_bool > fun_fu1647467459l_bool ).

tff(func_def_15,type,
    cOMBB_675860798_pname: fun_bo1549164019l_bool > fun_fu152205775l_bool ).

tff(func_def_16,type,
    cOMBB_188601460_state: fun_bo1549164019l_bool > fun_fu1658206819l_bool ).

tff(func_def_17,type,
    cOMBB_877416532_state: fun_bo1549164019l_bool > fun_fu1212692075l_bool ).

tff(func_def_18,type,
    cOMBB_2095475776e_bool: fun_bo1549164019l_bool > fun_fu1747008875l_bool ).

tff(func_def_19,type,
    cOMBB_1004232970e_bool: fun_bo1549164019l_bool > fun_fu253717047l_bool ).

tff(func_def_20,type,
    cOMBB_1777678681_pname: fun_bo1278783462_state > fun_fu538492704_state ).

tff(func_def_21,type,
    cOMBB_1394247784_pname: fun_bo79750167on_com > fun_fu637830609on_com ).

tff(func_def_22,type,
    cOMBB_147383684ol_com: fun_Ho424838195e_bool > fun_fu728239619e_bool ).

tff(func_def_23,type,
    cOMBB_1755629310_pname: fun_Ho424838195e_bool > fun_fu1182643087e_bool ).

tff(func_def_24,type,
    cOMBB_496159380_state: fun_Ho424838195e_bool > fun_fu513998669e_bool ).

tff(func_def_25,type,
    cOMBB_543245952e_bool: fun_Ho424838195e_bool > fun_fu274677197e_bool ).

tff(func_def_26,type,
    cOMBB_238163658e_bool: fun_Ho424838195e_bool > fun_fu900385015e_bool ).

tff(func_def_27,type,
    cOMBB_1717464465_pname: fun_Ho1500656352e_bool > fun_fu1749197244e_bool ).

tff(func_def_28,type,
    cOMBB_923936821_pname: fun_option_com_com > fun_fu1742234008me_com ).

tff(func_def_29,type,
    cOMBB_418828222_pname: fun_op2091355123m_bool > fun_fu413870927m_bool ).

tff(func_def_30,type,
    cOMBB_298914627ol_com: fun_fu1362071682l_bool > fun_fu909811272m_bool ).

tff(func_def_31,type,
    cOMBB_2112550369ol_com: fun_fu1107293590m_bool > fun_fu150188134m_bool ).

tff(func_def_32,type,
    cOMBB_530759491_pname: fun_fu1430349052l_bool > fun_fu25451830e_bool ).

tff(func_def_33,type,
    cOMBB_408569982_pname: fun_fu802393907l_bool > fun_fu1779604751l_bool ).

tff(func_def_34,type,
    cOMBB_1217374484_state: fun_fu802393907l_bool > fun_fu1117089189l_bool ).

tff(func_def_35,type,
    cOMBB_1919352417_pname: fun_fu2101097872e_bool > fun_fu400535020e_bool ).

tff(func_def_36,type,
    cOMBB_1911358915_state: fun_fu93307442l_bool > fun_fu2104550360e_bool ).

tff(func_def_37,type,
    cOMBB_1476898461_state: fun_fu1998731480e_bool > fun_fu475229566e_bool ).

tff(func_def_38,type,
    cOMBB_1759179140_state: fun_fu1658206819l_bool > fun_fu1982748883l_bool ).

tff(func_def_39,type,
    cOMBB_1212270426_pname: fun_fu515363031_state > fun_fu1258737587_state ).

tff(func_def_40,type,
    cOMBB_151548708e_bool: fun_fu515363031_state > fun_fu717443355_state ).

tff(func_def_41,type,
    cOMBB_188465958e_bool: fun_fu515363031_state > fun_fu2064421403_state ).

tff(func_def_42,type,
    cOMBB_1036740637_state: fun_fu2104550360e_bool > fun_fu1867913342e_bool ).

tff(func_def_43,type,
    cOMBB_1757942702_state: fun_fu1219323149e_bool > fun_fu1454697805e_bool ).

tff(func_def_44,type,
    cOMBB_20296667_state: fun_fu1047394976e_bool > fun_fu1088452192e_bool ).

tff(func_def_45,type,
    cOMBB_1356223341_state: fun_fu1996308102l_bool > fun_fu956445838e_bool ).

tff(func_def_46,type,
    cOMBB_343228284_pname: fun_fu2036837167l_bool > fun_fu1935134213l_bool ).

tff(func_def_47,type,
    cOMBB_867654038_state: fun_fu2036837167l_bool > fun_fu390015671l_bool ).

tff(func_def_48,type,
    cOMBB_1253415543_state: fun_fu531943146e_bool > fun_fu708272248e_bool ).

tff(func_def_49,type,
    cOMBB_631815671e_bool: fun_fu1759027710l_bool > fun_fu1914144780l_bool ).

tff(func_def_50,type,
    cOMBB_460931425e_bool: fun_fu1392972380l_bool > fun_fu1005788192l_bool ).

tff(func_def_51,type,
    cOMBC_com_com_bool: fun_fu262322603m_bool ).

tff(func_def_52,type,
    cOMBC_com_pname_bool: fun_fu1187323423m_bool ).

tff(func_def_53,type,
    cOMBC_1517337958e_bool: fun_fu797503213m_bool ).

tff(func_def_54,type,
    cOMBC_1904837336l_bool: fun_fu1884963949m_bool ).

tff(func_def_55,type,
    cOMBC_1977231931m_bool: fun_fu2147318701m_bool ).

tff(func_def_56,type,
    cOMBC_1149511130e_bool: fun_fu577621651e_bool ).

tff(func_def_57,type,
    cOMBC_1422551904e_bool: fun_fu1270025057e_bool ).

tff(func_def_58,type,
    cOMBC_1381995473m_bool: fun_fu1324476193e_bool ).

tff(func_def_59,type,
    cOMBC_1058051404l_bool: fun_fu696558561e_bool ).

tff(func_def_60,type,
    cOMBC_1123258281e_bool: fun_fu1018334113e_bool ).

tff(func_def_61,type,
    cOMBC_947783590l_bool: fun_fu440800555e_bool ).

tff(func_def_62,type,
    cOMBC_1001821703e_bool: fun_fu1259744701e_bool ).

tff(func_def_63,type,
    cOMBC_2027030106e_bool: fun_fu402792811e_bool ).

tff(func_def_64,type,
    cOMBC_231445413l_bool: fun_fu1219323149e_bool ).

tff(func_def_65,type,
    cOMBC_471052088e_bool: fun_fu13754701e_bool ).

tff(func_def_66,type,
    cOMBC_952831051e_bool: fun_fu1436120077e_bool ).

tff(func_def_67,type,
    cOMBC_1026256022e_bool: fun_fu323425945e_bool ).

tff(func_def_68,type,
    cOMBC_13083556e_bool: fun_fu1590463051e_bool ).

tff(func_def_69,type,
    cOMBC_1674478480l_bool: fun_fu1211884491e_bool ).

tff(func_def_70,type,
    cOMBC_1415895650l_bool: fun_fu90083841e_bool ).

tff(func_def_71,type,
    cOMBC_1774708299e_bool: fun_fu739615905e_bool ).

tff(func_def_72,type,
    cOMBC_788185579m_bool: fun_fu1004917649m_bool ).

tff(func_def_73,type,
    cOMBC_1004116266e_bool: fun_fu154623769l_bool ).

tff(func_def_74,type,
    cOMBC_1091669008e_bool: fun_fu1582046155l_bool ).

tff(func_def_75,type,
    cOMBC_1284144636l_bool: fun_fu1901728075l_bool ).

tff(func_def_76,type,
    cOMBC_1880008793e_bool: fun_fu532860805e_bool ).

tff(func_def_77,type,
    cOMBC_1988546018l_bool: fun_fu445680937l_bool ).

tff(func_def_78,type,
    cOMBC_772615479l_bool: fun_fu1958014113l_bool ).

tff(func_def_79,type,
    cOMBC_1845395470e_bool: fun_fu765334827l_bool ).

tff(func_def_80,type,
    cOMBC_497487404e_bool: fun_fu2114617849l_bool ).

tff(func_def_81,type,
    cOMBC_1250231770l_bool: fun_fu103205827l_bool ).

tff(func_def_82,type,
    cOMBC_1626046675e_bool: fun_fu1281251517e_bool ).

tff(func_def_83,type,
    cOMBC_1522409444l_bool: fun_fu634959481l_bool ).

tff(func_def_84,type,
    cOMBC_2079418125l_bool: fun_fu1987524409l_bool ).

tff(func_def_85,type,
    cOMBC_7971162l_bool: fun_fu1787620979l_bool ).

tff(func_def_86,type,
    cOMBC_694979519l_bool: fun_fu427611837l_bool ).

tff(func_def_87,type,
    cOMBC_736208532l_bool: fun_fu541826379l_bool ).

tff(func_def_88,type,
    cOMBC_646647229l_bool: fun_fu357036829l_bool ).

tff(func_def_89,type,
    cOMBK_com_pname: fun_co2083758390me_com ).

tff(func_def_90,type,
    cOMBK_1864507658_state: fun_co762074576te_com ).

tff(func_def_91,type,
    cOMBK_pname_pname: fun_pn1208287926_pname ).

tff(func_def_92,type,
    cOMBK_83433476_state: fun_pn924025796_pname ).

tff(func_def_93,type,
    cOMBK_bool_com: fun_bo248466946m_bool ).

tff(func_def_94,type,
    cOMBK_bool_pname: fun_bo1031758332e_bool ).

tff(func_def_95,type,
    cOMBK_574827367_state: fun_bo981624292e_bool ).

tff(func_def_96,type,
    cOMBK_1857069011e_bool: fun_bo444614480l_bool ).

tff(func_def_97,type,
    cOMBK_1696036407e_bool: fun_bo186417352l_bool ).

tff(func_def_98,type,
    cOMBK_818325696te_com: fun_Ho1661679588_state ).

tff(func_def_99,type,
    cOMBK_92056634_pname: fun_Ho1546669662_state ).

tff(func_def_100,type,
    cOMBK_413306633_pname: fun_op723812928on_com ).

tff(func_def_101,type,
    cOMBK_631994958_state: fun_fu1998731480e_bool ).

tff(func_def_102,type,
    cOMBS_com_bool_bool: fun_fu323352464m_bool ).

tff(func_def_103,type,
    cOMBS_124505571_state: fun_fu17282820_state ).

tff(func_def_104,type,
    cOMBS_568398431l_bool: fun_fu1576495102e_bool ).

tff(func_def_105,type,
    cOMBS_113846849_state: fun_fu1269246_state ).

tff(func_def_106,type,
    cOMBS_89825358_state: fun_fu1853703270_state ).

tff(func_def_107,type,
    cOMBS_904531235on_com: fun_fu1908735358on_com ).

tff(func_def_108,type,
    cOMBS_1529518335on_com: fun_fu1867668424on_com ).

tff(func_def_109,type,
    cOMBS_1110920566_state: fun_fu719860798_state ).

tff(func_def_110,type,
    cOMBS_1378840469l_bool: fun_fu1047394976e_bool ).

tff(func_def_111,type,
    cOMBS_56025283l_bool: fun_fu1914413292e_bool ).

tff(func_def_112,type,
    cOMBS_1636274867_state: fun_fu319306468_state ).

tff(func_def_113,type,
    cOMBS_350070575l_bool: fun_fu502368472l_bool ).

tff(func_def_114,type,
    cOMBS_444947014_state: fun_fu1061167308_state ).

tff(func_def_115,type,
    cOMBS_319359663_state: fun_fu1698101968_state ).

tff(func_def_116,type,
    cOMBS_1039407915l_bool: fun_fu1214779746l_bool ).

tff(func_def_117,type,
    cOMBS_1452472386_state: fun_fu720446882_state ).

tff(func_def_118,type,
    wt: fun_com_bool ).

tff(func_def_119,type,
    wT_bodies: bool ).

tff(func_def_120,type,
    body: fun_pname_option_com ).

tff(func_def_121,type,
    body_1: fun_pname_com ).

tff(func_def_122,type,
    skip: com ).

tff(func_def_123,type,
    semi: fun_com_fun_com_com ).

tff(func_def_124,type,
    while: fun_state_bool > fun_com_com ).

tff(func_def_125,type,
    finite1653727294m_bool: fun_co2038576728m_bool > bool ).

tff(func_def_126,type,
    finite2017903282e_bool: fun_pn479984722e_bool > bool ).

tff(func_def_127,type,
    finite318301748l_bool: fun_bo1549164019l_bool > bool ).

tff(func_def_128,type,
    finite377806280e_bool: fun_Ho1500656352e_bool > bool ).

tff(func_def_129,type,
    finite367769966e_bool: fun_fu2101097872e_bool > bool ).

tff(func_def_130,type,
    finite560903500e_bool: fun_fu531943146e_bool > bool ).

tff(func_def_131,type,
    finite_finite_com: fun_fu1362071682l_bool ).

tff(func_def_132,type,
    finite_finite_pname: fun_fu1430349052l_bool ).

tff(func_def_133,type,
    finite_finite_bool: fun_fu1255657237l_bool ).

tff(func_def_134,type,
    finite280062779_state: fun_fu1996308102l_bool ).

tff(func_def_135,type,
    finite595471783e_bool: fun_fu399576434l_bool ).

tff(func_def_136,type,
    finite2030652771e_bool: fun_fu1972704968l_bool ).

tff(func_def_137,type,
    finite786885583l_bool: fun_fu1438281908l_bool ).

tff(func_def_138,type,
    finite393859187l_bool: fun_fu1165654846l_bool ).

tff(func_def_139,type,
    finite_fold_com_com: fun_com_fun_com_com > fun_co1990488286ol_com ).

tff(func_def_140,type,
    finite1275301314m_bool: fun_co2038576728m_bool > fun_fu1107293590m_bool ).

tff(func_def_141,type,
    finite1657623752_pname: fun_pn1208287926_pname > fun_pn1480819160_pname ).

tff(func_def_142,type,
    finite315386934e_bool: fun_pn479984722e_bool > fun_fu2101097872e_bool ).

tff(func_def_143,type,
    finite1909292976l_bool: fun_bo1549164019l_bool > fun_bo492988759l_bool ).

tff(func_def_144,type,
    finite1620577938_state: fun_Ho31865764_state > fun_Ho1583608874_state ).

tff(func_def_145,type,
    finite1720034636e_bool: fun_Ho1500656352e_bool > fun_fu531943146e_bool ).

tff(func_def_146,type,
    finite446335722e_bool: fun_fu2101097872e_bool > fun_fu998441198e_bool ).

tff(func_def_147,type,
    finite1627341516l_bool: fun_fu1232732404l_bool > fun_fu1759027710l_bool ).

tff(func_def_148,type,
    finite1334634696e_bool: fun_fu531943146e_bool > fun_fu1271036068e_bool ).

tff(func_def_149,type,
    finite1820487374l_bool: fun_fu1997055262l_bool > fun_fu1392972380l_bool ).

tff(func_def_150,type,
    finite517504007_pname: ( fun_fu531943146e_bool * fun_pn1521100553e_bool * fun_Ho320143120e_bool * fun_pname_bool ) > fun_Ho320143120e_bool ).

tff(func_def_151,type,
    finite860057415ne_com: ( fun_com_fun_com_com * fun_fun_com_bool_com ) > bool ).

tff(func_def_152,type,
    finite1282449217_pname: ( fun_pn1208287926_pname * fun_fu1499449723_pname ) > bool ).

tff(func_def_153,type,
    finite269920017_state: ( fun_Ho31865764_state * fun_fu700438391_state ) > bool ).

tff(func_def_154,type,
    finite1626890877e_bool: ( fun_fu2101097872e_bool * fun_fu608906319e_bool ) > bool ).

tff(func_def_155,type,
    finite1264277005e_bool: ( fun_fu531943146e_bool * fun_fu1671561851e_bool ) > bool ).

tff(func_def_156,type,
    finite666746948em_com: ( fun_com_fun_com_com * fun_fun_com_bool_com ) > bool ).

tff(func_def_157,type,
    finite89670078_pname: ( fun_pn1208287926_pname * fun_fu1499449723_pname ) > bool ).

tff(func_def_158,type,
    finite2031572_state: ( fun_Ho31865764_state * fun_fu700438391_state ) > bool ).

tff(func_def_159,type,
    finite1268145088e_bool: ( fun_fu2101097872e_bool * fun_fu608906319e_bool ) > bool ).

tff(func_def_160,type,
    finite2090946954e_bool: ( fun_fu531943146e_bool * fun_fu1671561851e_bool ) > bool ).

tff(func_def_161,type,
    fun_up641226197_state: ( fun_pn1262351275_state * pname * hoare_363350478_state ) > fun_pn1262351275_state ).

tff(func_def_162,type,
    fun_up879233478on_com: ( fun_pname_option_com * pname * option_com ) > fun_pname_option_com ).

tff(func_def_163,type,
    inj_on11367768on_com: fun_com_option_com > fun_fu1362071682l_bool ).

tff(func_def_164,type,
    inj_on_pname_pname: fun_pname_pname > fun_fu1430349052l_bool ).

tff(func_def_165,type,
    inj_on207592417_state: fun_pn1262351275_state > fun_fu1430349052l_bool ).

tff(func_def_166,type,
    inj_on737724108_pname: fun_pn1342468758_pname > fun_fu1430349052l_bool ).

tff(func_def_167,type,
    inj_on216215575_pname: fun_Ho713471079_pname > fun_fu1996308102l_bool ).

tff(func_def_168,type,
    inj_on1943491515_state: fun_Ho901937921_state > fun_fu1996308102l_bool ).

tff(func_def_169,type,
    inj_on574065538_state: fun_Ho382349394_state > fun_fu1996308102l_bool ).

tff(func_def_170,type,
    inj_on1490514707e_bool: fun_fu410713561e_bool > fun_fu399576434l_bool ).

tff(func_def_171,type,
    inj_on938701937e_bool: fun_fu1066574909e_bool > fun_fu1972704968l_bool ).

tff(func_def_172,type,
    overri1496249029on_com: ( fun_pname_option_com * fun_pname_option_com * fun_pname_bool ) > fun_pname_option_com ).

tff(func_def_173,type,
    minus_59609839m_bool: fun_fu1107293590m_bool ).

tff(func_def_174,type,
    minus_1015773161e_bool: fun_fu2101097872e_bool ).

tff(func_def_175,type,
    minus_1060678561e_bool: fun_fu531943146e_bool ).

tff(func_def_176,type,
    minus_1290075917l_bool: fun_fu1759027710l_bool ).

tff(func_def_177,type,
    minus_1119384757l_bool: fun_fu1392972380l_bool ).

tff(func_def_178,type,
    the_com_1: fun_fun_com_bool_com ).

tff(func_def_179,type,
    the_pname: fun_fu1499449723_pname ).

tff(func_def_180,type,
    the_Ho1653144541_state: fun_fu700438391_state ).

tff(func_def_181,type,
    hoare_Mirabelle_MGT: fun_co482540593_state ).

tff(func_def_182,type,
    hoare_95103338_state: fun_Ho320143120e_bool > fun_fu1996308102l_bool ).

tff(func_def_183,type,
    hoare_501514600_state: fun_Ho320143120e_bool > fun_fu1996308102l_bool ).

tff(func_def_184,type,
    hoare_265376576gleton: bool ).

tff(func_def_185,type,
    hoare_608330478_state: fun_fu515363031_state ).

tff(func_def_186,type,
    if_Hoa29189214_state: fun_bo1278783462_state ).

tff(func_def_187,type,
    if_option_com: fun_bo79750167on_com ).

tff(func_def_188,type,
    semila310582991f_bool: fun_bo1549164019l_bool ).

tff(func_def_189,type,
    semila980496562m_bool: fun_fu1107293590m_bool ).

tff(func_def_190,type,
    semila1635148844e_bool: fun_fu2101097872e_bool ).

tff(func_def_191,type,
    semila1129477150e_bool: fun_fu531943146e_bool ).

tff(func_def_192,type,
    semila1130628874l_bool: fun_fu1759027710l_bool ).

tff(func_def_193,type,
    semila218417144l_bool: fun_fu1392972380l_bool ).

tff(func_def_194,type,
    semila1168014441p_bool: fun_bo1549164019l_bool ).

tff(func_def_195,type,
    semila605046092m_bool: fun_fu1107293590m_bool ).

tff(func_def_196,type,
    semila278973382e_bool: fun_fu2101097872e_bool ).

tff(func_def_197,type,
    semila1579166468e_bool: fun_fu531943146e_bool ).

tff(func_def_198,type,
    semila1782091504l_bool: fun_fu1759027710l_bool ).

tff(func_def_199,type,
    semila862847378l_bool: fun_fu1392972380l_bool ).

tff(func_def_200,type,
    dom_com_com: fun_com_option_com > fun_com_bool ).

tff(func_def_201,type,
    dom_pname_com: fun_pname_option_com > fun_pname_bool ).

tff(func_def_202,type,
    dom_pname_pname: fun_pn1342468758_pname > fun_pname_bool ).

tff(func_def_203,type,
    dom_pn66870208_state: fun_pn1405249832_state > fun_pname_bool ).

tff(func_def_204,type,
    dom_Ho75493366_pname: fun_Ho12798188_pname > fun_Ho320143120e_bool ).

tff(func_def_205,type,
    dom_Ho867270556_state: fun_Ho382349394_state > fun_Ho320143120e_bool ).

tff(func_def_206,type,
    restri1382200118me_com: ( fun_pname_option_com * fun_pname_bool ) > fun_pname_option_com ).

tff(func_def_207,type,
    evalc: com > fun_st1506752259e_bool ).

tff(func_def_208,type,
    is_none_com: option_com > bool ).

tff(func_def_209,type,
    is_none_pname: option_pname > bool ).

tff(func_def_210,type,
    is_non965104584_state: option131732143_state > bool ).

tff(func_def_211,type,
    none_com: option_com ).

tff(func_def_212,type,
    none_pname: option_pname ).

tff(func_def_213,type,
    none_H1908530691_state: option131732143_state ).

tff(func_def_214,type,
    some_com: fun_com_option_com ).

tff(func_def_215,type,
    some_pname: fun_pn1342468758_pname ).

tff(func_def_216,type,
    some_H629028223_state: fun_Ho382349394_state ).

tff(func_def_217,type,
    set_com: option_com > fun_com_bool ).

tff(func_def_218,type,
    set_pname: option_pname > fun_pname_bool ).

tff(func_def_219,type,
    set_Ho1327198534_state: option131732143_state > fun_Ho320143120e_bool ).

tff(func_def_220,type,
    the_com: fun_option_com_com ).

tff(func_def_221,type,
    the_pname_1: fun_op1147759164_pname ).

tff(func_def_222,type,
    the_Ho1765868149_state: fun_op1062082070_state ).

tff(func_def_223,type,
    bot_bot_bool: bool ).

tff(func_def_224,type,
    bot_bot_fun_com_bool: fun_com_bool ).

tff(func_def_225,type,
    bot_bo844097828e_bool: fun_pname_bool ).

tff(func_def_226,type,
    bot_bo39439654e_bool: fun_Ho320143120e_bool ).

tff(func_def_227,type,
    bot_bo1649642514l_bool: fun_fu1430349052l_bool ).

tff(func_def_228,type,
    bot_bo133096688l_bool: fun_fu1996308102l_bool ).

tff(func_def_229,type,
    ord_less_eq_bool: fun_bo1549164019l_bool ).

tff(func_def_230,type,
    ord_le1708315510m_bool: fun_fu1132372403l_bool ).

tff(func_def_231,type,
    ord_le313189616e_bool: fun_fu802393907l_bool ).

tff(func_def_232,type,
    ord_le704992346e_bool: fun_fu2036837167l_bool ).

tff(func_def_233,type,
    ord_le675606854l_bool: fun_fu1911931399l_bool ).

tff(func_def_234,type,
    ord_le2031828156l_bool: fun_fu1575689779l_bool ).

tff(func_def_235,type,
    top_top_fun_com_bool: fun_com_bool ).

tff(func_def_236,type,
    top_to2127735616e_bool: fun_pname_bool ).

tff(func_def_237,type,
    top_to1618141706e_bool: fun_Ho320143120e_bool ).

tff(func_def_238,type,
    partial_flat_lub_com: com > fun_fun_com_bool_com ).

tff(func_def_239,type,
    partia752020666_pname: pname > fun_fu1499449723_pname ).

tff(func_def_240,type,
    partia2058675160_state: hoare_363350478_state > fun_fu700438391_state ).

tff(func_def_241,type,
    collect_com: fun_fu241528037m_bool ).

tff(func_def_242,type,
    collect_pname: fun_fu410713561e_bool ).

tff(func_def_243,type,
    collec223185785_state: fun_fu1066574909e_bool ).

tff(func_def_244,type,
    collec1974731493e_bool: fun_fu2087345469l_bool ).

tff(func_def_245,type,
    collec1243131813e_bool: fun_fu1858490225l_bool ).

tff(func_def_246,type,
    collec1613912337l_bool: fun_fu1610316873l_bool ).

tff(func_def_247,type,
    collec85445553l_bool: fun_fu1305195069l_bool ).

tff(func_def_248,type,
    image_com_com: fun_com_com > fun_fu241528037m_bool ).

tff(func_def_249,type,
    image_com_pname: fun_com_pname > fun_fu128859999e_bool ).

tff(func_def_250,type,
    image_1736049107_state: fun_co482540593_state > fun_fu1645348161e_bool ).

tff(func_def_251,type,
    image_pname_com: fun_pname_com > fun_fu1725712479m_bool ).

tff(func_def_252,type,
    image_pname_pname: fun_pname_pname > fun_fu410713561e_bool ).

tff(func_def_253,type,
    image_1918575693_state: fun_pn1262351275_state > fun_fu1937087815e_bool ).

tff(func_def_254,type,
    image_47868345e_bool: fun_pn800050071e_bool > fun_fu802393907l_bool ).

tff(func_def_255,type,
    image_1637084625e_bool: fun_pn1521100553e_bool > fun_fu1684034981l_bool ).

tff(func_def_256,type,
    image_689867145te_com: fun_Ho938602221te_com > fun_fu1829847273m_bool ).

tff(func_def_257,type,
    image_1927198851_pname: fun_Ho713471079_pname > fun_fu665342307e_bool ).

tff(func_def_258,type,
    image_2068641359_state: fun_Ho901937921_state > fun_fu1066574909e_bool ).

tff(func_def_259,type,
    image_1660610235e_bool: fun_Ho1262521325e_bool > fun_fu1099743017l_bool ).

tff(func_def_260,type,
    image_1484638543e_bool: fun_Ho424838195e_bool > fun_fu2036837167l_bool ).

tff(func_def_261,type,
    image_1283814551_pname: fun_fu1499449723_pname > fun_fu608906319e_bool ).

tff(func_def_262,type,
    image_431763259_state: fun_fu54631149_state > fun_fu2094240849e_bool ).

tff(func_def_263,type,
    image_2063528359e_bool: fun_fu410713561e_bool > fun_fu2087345469l_bool ).

tff(func_def_264,type,
    image_937015865_pname: fun_fu2380401_pname > fun_fu1792383909e_bool ).

tff(func_def_265,type,
    image_2021386777_state: fun_fu700438391_state > fun_fu1671561851e_bool ).

tff(func_def_266,type,
    image_1332939013e_bool: fun_fu1066574909e_bool > fun_fu1858490225l_bool ).

tff(func_def_267,type,
    insert_com: fun_co2038576728m_bool ).

tff(func_def_268,type,
    insert_pname: fun_pn479984722e_bool ).

tff(func_def_269,type,
    insert_bool: fun_bo1141276881l_bool ).

tff(func_def_270,type,
    insert1330351828_state: fun_Ho1500656352e_bool ).

tff(func_def_271,type,
    insert1325755072e_bool: fun_fu1232732404l_bool ).

tff(func_def_272,type,
    insert975831690e_bool: fun_fu1997055262l_bool ).

tff(func_def_273,type,
    the_elem_com: fun_fun_com_bool_com ).

tff(func_def_274,type,
    the_elem_pname: fun_fu1499449723_pname ).

tff(func_def_275,type,
    the_el1666657391_state: fun_fu700438391_state ).

tff(func_def_276,type,
    vimage597774871_state: ( fun_pn1262351275_state * fun_Ho320143120e_bool ) > fun_pname_bool ).

tff(func_def_277,type,
    fAll_state: fun_fu93307442l_bool ).

tff(func_def_278,type,
    fFalse: bool ).

tff(func_def_279,type,
    fNot: fun_bool_bool ).

tff(func_def_280,type,
    fTrue: bool ).

tff(func_def_281,type,
    fconj: fun_bo1549164019l_bool ).

tff(func_def_282,type,
    fdisj: fun_bo1549164019l_bool ).

tff(func_def_283,type,
    fequal_com: fun_com_fun_com_bool ).

tff(func_def_284,type,
    fequal_pname: fun_pn800050071e_bool ).

tff(func_def_285,type,
    fequal_state: fun_st1506752259e_bool ).

tff(func_def_286,type,
    fequal1026769423_state: fun_Ho424838195e_bool ).

tff(func_def_287,type,
    fequal_option_com: fun_op2091355123m_bool ).

tff(func_def_288,type,
    fequal_fun_com_bool: fun_fu1132372403l_bool ).

tff(func_def_289,type,
    fequal533582459e_bool: fun_fu802393907l_bool ).

tff(func_def_290,type,
    fequal731041167e_bool: fun_fu2036837167l_bool ).

tff(func_def_291,type,
    fimplies: fun_bo1549164019l_bool ).

tff(func_def_292,type,
    hAPP_com_com: ( fun_com_com * com ) > com ).

tff(func_def_293,type,
    hAPP_com_pname: ( fun_com_pname * com ) > pname ).

tff(func_def_294,type,
    hAPP_com_bool: ( fun_com_bool * com ) > bool ).

tff(func_def_295,type,
    hAPP_c1041435779_state: ( fun_co482540593_state * com ) > hoare_363350478_state ).

tff(func_def_296,type,
    hAPP_com_option_com: ( fun_com_option_com * com ) > option_com ).

tff(func_def_297,type,
    hAPP_com_fun_com_com: ( fun_com_fun_com_com * com ) > fun_com_com ).

tff(func_def_298,type,
    hAPP_c1396316405m_bool: ( fun_com_fun_com_bool * com ) > fun_com_bool ).

tff(func_def_299,type,
    hAPP_c1494068046me_com: ( fun_co2083758390me_com * com ) > fun_pname_com ).

tff(func_def_300,type,
    hAPP_c1967741679e_bool: ( fun_co1877906717e_bool * com ) > fun_pname_bool ).

tff(func_def_301,type,
    hAPP_c1580157610l_bool: ( fun_co2042843794l_bool * com ) > fun_bool_bool ).

tff(func_def_302,type,
    hAPP_c6662434te_com: ( fun_co762074576te_com * com ) > fun_Ho938602221te_com ).

tff(func_def_303,type,
    hAPP_c566546971e_bool: ( fun_co1098712835e_bool * com ) > fun_Ho320143120e_bool ).

tff(func_def_304,type,
    hAPP_c1546426672ol_com: ( fun_co1990488286ol_com * com ) > fun_fun_com_bool_com ).

tff(func_def_305,type,
    hAPP_c667411853l_bool: ( fun_co1633267573l_bool * com ) > fun_fu1362071682l_bool ).

tff(func_def_306,type,
    hAPP_c566651504m_bool: ( fun_co2038576728m_bool * com ) > fun_fu241528037m_bool ).

tff(func_def_307,type,
    hAPP_c1279058753_state: ( fun_co2056507177_state * com ) > fun_fu1425861174_state ).

tff(func_def_308,type,
    hAPP_pname_com: ( fun_pname_com * pname ) > com ).

tff(func_def_309,type,
    hAPP_pname_pname: ( fun_pname_pname * pname ) > pname ).

tff(func_def_310,type,
    hAPP_pname_bool: ( fun_pname_bool * pname ) > bool ).

tff(func_def_311,type,
    hAPP_p1337579261_state: ( fun_pn1262351275_state * pname ) > hoare_363350478_state ).

tff(func_def_312,type,
    hAPP_p799580910on_com: ( fun_pname_option_com * pname ) > option_com ).

tff(func_def_313,type,
    hAPP_p1252095976_pname: ( fun_pn1342468758_pname * pname ) > option_pname ).

tff(func_def_314,type,
    hAPP_p1737106368_state: ( fun_pn1405249832_state * pname ) > option131732143_state ).

tff(func_def_315,type,
    hAPP_p1639923567m_bool: ( fun_pn1231525149m_bool * pname ) > fun_com_bool ).

tff(func_def_316,type,
    hAPP_p1042965178_state: ( fun_pn203430818_state * pname ) > fun_co2056507177_state ).

tff(func_def_317,type,
    hAPP_p1170154830_pname: ( fun_pn1208287926_pname * pname ) > fun_pname_pname ).

tff(func_def_318,type,
    hAPP_p61793385e_bool: ( fun_pn800050071e_bool * pname ) > fun_pname_bool ).

tff(func_def_319,type,
    hAPP_p1637813682e_bool: ( fun_pn12888928e_bool * pname ) > fun_st1506752259e_bool ).

tff(func_def_320,type,
    hAPP_p393069232l_bool: ( fun_pn250273176l_bool * pname ) > fun_bool_bool ).

tff(func_def_321,type,
    hAPP_p1379817622_pname: ( fun_pn924025796_pname * pname ) > fun_Ho713471079_pname ).

tff(func_def_322,type,
    hAPP_p2009489185e_bool: ( fun_pn1521100553e_bool * pname ) > fun_Ho320143120e_bool ).

tff(func_def_323,type,
    hAPP_p726046354_state: ( fun_pn983485306_state * pname ) > fun_Ho901937921_state ).

tff(func_def_324,type,
    hAPP_p760538963_state: ( fun_pn1681257857_state * pname ) > fun_Ho31865764_state ).

tff(func_def_325,type,
    hAPP_p558118546m_bool: ( fun_pn1824415994m_bool * pname ) > fun_option_com_bool ).

tff(func_def_326,type,
    hAPP_p1086945780on_com: ( fun_pn1580610524on_com * pname ) > fun_op606842979on_com ).

tff(func_def_327,type,
    hAPP_p1164893188on_com: ( fun_pn1673019570on_com * pname ) > fun_op564655445on_com ).

tff(func_def_328,type,
    hAPP_p1630511146_pname: ( fun_pn1480819160_pname * pname ) > fun_fu1499449723_pname ).

tff(func_def_329,type,
    hAPP_p338031245l_bool: ( fun_pn422929397l_bool * pname ) > fun_fu1430349052l_bool ).

tff(func_def_330,type,
    hAPP_p905327722e_bool: ( fun_pn479984722e_bool * pname ) > fun_fu410713561e_bool ).

tff(func_def_331,type,
    hAPP_p435788871_state: ( fun_pn640817967_state * pname ) > fun_fu1425861174_state ).

tff(func_def_332,type,
    hAPP_p425615669l_bool: ( fun_pn1419495779l_bool * pname ) > fun_fu1996308102l_bool ).

tff(func_def_333,type,
    hAPP_p678758990e_bool: ( fun_pn73701814e_bool * pname ) > fun_fu1066574909e_bool ).

tff(func_def_334,type,
    hAPP_state_bool: ( fun_state_bool * state ) > bool ).

tff(func_def_335,type,
    hAPP_s1806633685e_bool: ( fun_st1506752259e_bool * state ) > fun_state_bool ).

tff(func_def_336,type,
    hAPP_s336103912e_bool: ( fun_st858662806e_bool * state ) > fun_st1506752259e_bool ).

tff(func_def_337,type,
    hAPP_s2001034685l_bool: ( fun_st2116860965l_bool * state ) > fun_st2063251938l_bool ).

tff(func_def_338,type,
    hAPP_s58564346l_bool: ( fun_st2063251938l_bool * state ) > fun_bool_bool ).

tff(func_def_339,type,
    hAPP_s1874344717e_bool: ( fun_st1483075957e_bool * state ) > fun_bo1936561970e_bool ).

tff(func_def_340,type,
    hAPP_s1226857760e_bool: ( fun_st277393160e_bool * state ) > fun_fu373216837e_bool ).

tff(func_def_341,type,
    hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_342,type,
    hAPP_b1153789088m_bool: ( fun_bo248466946m_bool * bool ) > fun_com_bool ).

tff(func_def_343,type,
    hAPP_b76515610e_bool: ( fun_bo1031758332e_bool * bool ) > fun_pname_bool ).

tff(func_def_344,type,
    hAPP_b2019457360e_bool: ( fun_bo1936561970e_bool * bool ) > fun_state_bool ).

tff(func_def_345,type,
    hAPP_b1095269219e_bool: ( fun_bo898473669e_bool * bool ) > fun_st1506752259e_bool ).

tff(func_def_346,type,
    hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).

tff(func_def_347,type,
    hAPP_b230077104e_bool: ( fun_bo981624292e_bool * bool ) > fun_Ho320143120e_bool ).

tff(func_def_348,type,
    hAPP_b594649092_state: ( fun_bo1278783462_state * bool ) > fun_Ho31865764_state ).

tff(func_def_349,type,
    hAPP_b1679505845on_com: ( fun_bo79750167on_com * bool ) > fun_op564655445on_com ).

tff(func_def_350,type,
    hAPP_b357632156l_bool: ( fun_bo444614480l_bool * bool ) > fun_fu1430349052l_bool ).

tff(func_def_351,type,
    hAPP_b1787118453l_bool: ( fun_bo492988759l_bool * bool ) > fun_fu1255657237l_bool ).

tff(func_def_352,type,
    hAPP_b496459037l_bool: ( fun_bo1141276881l_bool * bool ) > fun_fu701319549l_bool ).

tff(func_def_353,type,
    hAPP_b1504838374l_bool: ( fun_bo186417352l_bool * bool ) > fun_fu1996308102l_bool ).

tff(func_def_354,type,
    hAPP_H2142737465te_com: ( fun_Ho938602221te_com * hoare_363350478_state ) > com ).

tff(func_def_355,type,
    hAPP_H1346202419_pname: ( fun_Ho713471079_pname * hoare_363350478_state ) > pname ).

tff(func_def_356,type,
    hAPP_H1645464494e_bool: ( fun_Ho320143120e_bool * hoare_363350478_state ) > bool ).

tff(func_def_357,type,
    hAPP_H1982017439_state: ( fun_Ho901937921_state * hoare_363350478_state ) > hoare_363350478_state ).

tff(func_def_358,type,
    hAPP_H134270346_pname: ( fun_Ho12798188_pname * hoare_363350478_state ) > option_pname ).

tff(func_def_359,type,
    hAPP_H1942146718_state: ( fun_Ho382349394_state * hoare_363350478_state ) > option131732143_state ).

tff(func_def_360,type,
    hAPP_H176808977m_bool: ( fun_Ho108306547m_bool * hoare_363350478_state ) > fun_com_bool ).

tff(func_def_361,type,
    hAPP_H154362754_state: ( fun_Ho1661679588_state * hoare_363350478_state ) > fun_co482540593_state ).

tff(func_def_362,type,
    hAPP_H2033014795e_bool: ( fun_Ho1262521325e_bool * hoare_363350478_state ) > fun_pname_bool ).

tff(func_def_363,type,
    hAPP_H1607320188_state: ( fun_Ho1546669662_state * hoare_363350478_state ) > fun_pn1262351275_state ).

tff(func_def_364,type,
    hAPP_H1173243534l_bool: ( fun_Ho544647106l_bool * hoare_363350478_state ) > fun_bool_bool ).

tff(func_def_365,type,
    hAPP_H705653759e_bool: ( fun_Ho424838195e_bool * hoare_363350478_state ) > fun_Ho320143120e_bool ).

tff(func_def_366,type,
    hAPP_H230141040_state: ( fun_Ho31865764_state * hoare_363350478_state ) > fun_Ho901937921_state ).

tff(func_def_367,type,
    hAPP_H444605547l_bool: ( fun_Ho769804319l_bool * hoare_363350478_state ) > fun_fu1430349052l_bool ).

tff(func_def_368,type,
    hAPP_H40373975l_bool: ( fun_Ho177530809l_bool * hoare_363350478_state ) > fun_fu1996308102l_bool ).

tff(func_def_369,type,
    hAPP_H2108048200_state: ( fun_Ho1583608874_state * hoare_363350478_state ) > fun_fu700438391_state ).

tff(func_def_370,type,
    hAPP_H122293036e_bool: ( fun_Ho1500656352e_bool * hoare_363350478_state ) > fun_fu1066574909e_bool ).

tff(func_def_371,type,
    hAPP_option_com_com: ( fun_option_com_com * option_com ) > com ).

tff(func_def_372,type,
    hAPP_option_com_bool: ( fun_option_com_bool * option_com ) > bool ).

tff(func_def_373,type,
    hAPP_o356497025on_com: ( fun_op606842979on_com * option_com ) > option_com ).

tff(func_def_374,type,
    hAPP_o1092643708e_bool: ( fun_op956372318e_bool * option_com ) > fun_pname_bool ).

tff(func_def_375,type,
    hAPP_o129566686on_com: ( fun_op723812928on_com * option_com ) > fun_pname_option_com ).

tff(func_def_376,type,
    hAPP_o1684370239m_bool: ( fun_op2091355123m_bool * option_com ) > fun_option_com_bool ).

tff(func_def_377,type,
    hAPP_o334540577on_com: ( fun_op564655445on_com * option_com ) > fun_op606842979on_com ).

tff(func_def_378,type,
    hAPP_o593586696_pname: ( fun_op1147759164_pname * option_pname ) > pname ).

tff(func_def_379,type,
    hAPP_o1390191976_state: ( fun_op1062082070_state * option131732143_state ) > hoare_363350478_state ).

tff(func_def_380,type,
    hAPP_f835719487e_bool: ( fun_fu961305709e_bool * fun_com_pname ) > fun_co1877906717e_bool ).

tff(func_def_381,type,
    hAPP_f1276420679ol_com: ( fun_fun_com_bool_com * fun_com_bool ) > com ).

tff(func_def_382,type,
    hAPP_f990396704l_bool: ( fun_fu1362071682l_bool * fun_com_bool ) > bool ).

tff(func_def_383,type,
    hAPP_f1682609283m_bool: ( fun_fu241528037m_bool * fun_com_bool ) > fun_com_bool ).

tff(func_def_384,type,
    hAPP_f721468006m_bool: ( fun_fu1725012936m_bool * fun_com_bool ) > fun_com_fun_com_bool ).

tff(func_def_385,type,
    hAPP_f954469007l_bool: ( fun_fu1647467459l_bool * fun_com_bool ) > fun_co2042843794l_bool ).

tff(func_def_386,type,
    hAPP_f1438183293e_bool: ( fun_fu128859999e_bool * fun_com_bool ) > fun_pname_bool ).

tff(func_def_387,type,
    hAPP_f1859782925e_bool: ( fun_fu1645348161e_bool * fun_com_bool ) > fun_Ho320143120e_bool ).

tff(func_def_388,type,
    hAPP_f273696895l_bool: ( fun_fu1132372403l_bool * fun_com_bool ) > fun_fu1362071682l_bool ).

tff(func_def_389,type,
    hAPP_f1120618594m_bool: ( fun_fu1107293590m_bool * fun_com_bool ) > fun_fu241528037m_bool ).

tff(func_def_390,type,
    hAPP_f1813061839e_bool: ( fun_fu728239619e_bool * fun_co482540593_state ) > fun_co1098712835e_bool ).

tff(func_def_391,type,
    hAPP_f1998868198m_bool: ( fun_fu909811272m_bool * fun_com_fun_com_bool ) > fun_com_bool ).

tff(func_def_392,type,
    hAPP_f908845385m_bool: ( fun_fu262322603m_bool * fun_com_fun_com_bool ) > fun_com_fun_com_bool ).

tff(func_def_393,type,
    hAPP_f57617970m_bool: ( fun_fu150188134m_bool * fun_com_fun_com_bool ) > fun_co2038576728m_bool ).

tff(func_def_394,type,
    hAPP_f734198589m_bool: ( fun_fu1187323423m_bool * fun_co1877906717e_bool ) > fun_pn1231525149m_bool ).

tff(func_def_395,type,
    hAPP_f328772264m_bool: ( fun_fu323352464m_bool * fun_co2042843794l_bool ) > fun_fu241528037m_bool ).

tff(func_def_396,type,
    hAPP_f1375689733m_bool: ( fun_fu797503213m_bool * fun_co1098712835e_bool ) > fun_Ho108306547m_bool ).

tff(func_def_397,type,
    hAPP_f578650245m_bool: ( fun_fu1884963949m_bool * fun_co1633267573l_bool ) > fun_fu241528037m_bool ).

tff(func_def_398,type,
    hAPP_f947797701m_bool: ( fun_fu2147318701m_bool * fun_co2038576728m_bool ) > fun_fu1725012936m_bool ).

tff(func_def_399,type,
    hAPP_f481860441_state: ( fun_fu3288455_state * fun_pname_com ) > fun_pn1262351275_state ).

tff(func_def_400,type,
    hAPP_f1146170881_state: ( fun_fu753347689_state * fun_pname_com ) > fun_pn640817967_state ).

tff(func_def_401,type,
    hAPP_f1336811455e_bool: ( fun_fu264874349e_bool * fun_pname_pname ) > fun_pn800050071e_bool ).

tff(func_def_402,type,
    hAPP_f792846925ol_com: ( fun_fu78728705ol_com * fun_pname_bool ) > com ).

tff(func_def_403,type,
    hAPP_f1297739591_pname: ( fun_fu1499449723_pname * fun_pname_bool ) > pname ).

tff(func_def_404,type,
    hAPP_f1664156314l_bool: ( fun_fu1430349052l_bool * fun_pname_bool ) > bool ).

tff(func_def_405,type,
    hAPP_f804167819_state: ( fun_fu54631149_state * fun_pname_bool ) > hoare_363350478_state ).

tff(func_def_406,type,
    hAPP_f1206115581m_bool: ( fun_fu1725712479m_bool * fun_pname_bool ) > fun_com_bool ).

tff(func_def_407,type,
    hAPP_f637646508_state: ( fun_fu121404128_state * fun_pname_bool ) > fun_co2056507177_state ).

tff(func_def_408,type,
    hAPP_f759274231e_bool: ( fun_fu410713561e_bool * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_409,type,
    hAPP_f180827860e_bool: ( fun_fu1286003254e_bool * fun_pname_bool ) > fun_pn800050071e_bool ).

tff(func_def_410,type,
    hAPP_f1402196763l_bool: ( fun_fu152205775l_bool * fun_pname_bool ) > fun_pn250273176l_bool ).

tff(func_def_411,type,
    hAPP_f1418159294_state: ( fun_fu538492704_state * fun_pname_bool ) > fun_pn1681257857_state ).

tff(func_def_412,type,
    hAPP_f755519727on_com: ( fun_fu637830609on_com * fun_pname_bool ) > fun_pn1673019570on_com ).

tff(func_def_413,type,
    hAPP_f887530048e_bool: ( fun_fu1022316450e_bool * fun_pname_bool ) > fun_st1506752259e_bool ).

tff(func_def_414,type,
    hAPP_f1476298914l_bool: ( fun_fu31783638l_bool * fun_pname_bool ) > fun_bool_bool ).

tff(func_def_415,type,
    hAPP_f1763243027e_bool: ( fun_fu1937087815e_bool * fun_pname_bool ) > fun_Ho320143120e_bool ).

tff(func_def_416,type,
    hAPP_f434788991l_bool: ( fun_fu802393907l_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).

tff(func_def_417,type,
    hAPP_f1388330588e_bool: ( fun_fu2101097872e_bool * fun_pname_bool ) > fun_fu410713561e_bool ).

tff(func_def_418,type,
    hAPP_f972256569_state: ( fun_fu1476767085_state * fun_pname_bool ) > fun_fu1425861174_state ).

tff(func_def_419,type,
    hAPP_f682249667l_bool: ( fun_fu1684034981l_bool * fun_pname_bool ) > fun_fu1996308102l_bool ).

tff(func_def_420,type,
    hAPP_f556039215l_bool: ( fun_fu931343505l_bool * fun_pname_bool ) > fun_fu399576434l_bool ).

tff(func_def_421,type,
    hAPP_f246190092e_bool: ( fun_fu998441198e_bool * fun_pname_bool ) > fun_fu608906319e_bool ).

tff(func_def_422,type,
    hAPP_f1320879424l_bool: ( fun_fu1232732404l_bool * fun_pname_bool ) > fun_fu2087345469l_bool ).

tff(func_def_423,type,
    hAPP_f901668953_state: ( fun_fu1404073531_state * fun_pn1262351275_state ) > fun_pn1262351275_state ).

tff(func_def_424,type,
    hAPP_f1284518107e_bool: ( fun_fu1182643087e_bool * fun_pn1262351275_state ) > fun_pn1521100553e_bool ).

tff(func_def_425,type,
    hAPP_f1180972108_state: ( fun_fu799108608_state * fun_pn1262351275_state ) > fun_pn983485306_state ).

tff(func_def_426,type,
    hAPP_f43306888e_bool: ( fun_fu1749197244e_bool * fun_pn1262351275_state ) > fun_pn73701814e_bool ).

tff(func_def_427,type,
    hAPP_f96342628me_com: ( fun_fu1742234008me_com * fun_pname_option_com ) > fun_pname_com ).

tff(func_def_428,type,
    hAPP_f2123220539on_com: ( fun_fu311741085on_com * fun_pname_option_com ) > fun_pname_option_com ).

tff(func_def_429,type,
    hAPP_f919496731m_bool: ( fun_fu413870927m_bool * fun_pname_option_com ) > fun_pn1824415994m_bool ).

tff(func_def_430,type,
    hAPP_f648377725on_com: ( fun_fu544728625on_com * fun_pname_option_com ) > fun_pn1580610524on_com ).

tff(func_def_431,type,
    hAPP_f1311198492_state: ( fun_fu17282820_state * fun_pn203430818_state ) > fun_fu753347689_state ).

tff(func_def_432,type,
    hAPP_f42430548e_bool: ( fun_fu25451830e_bool * fun_pn800050071e_bool ) > fun_pname_bool ).

tff(func_def_433,type,
    hAPP_f22061361e_bool: ( fun_fu577621651e_bool * fun_pn800050071e_bool ) > fun_pn800050071e_bool ).

tff(func_def_434,type,
    hAPP_f567934427l_bool: ( fun_fu1779604751l_bool * fun_pn800050071e_bool ) > fun_pn422929397l_bool ).

tff(func_def_435,type,
    hAPP_f647826488e_bool: ( fun_fu400535020e_bool * fun_pn800050071e_bool ) > fun_pn479984722e_bool ).

tff(func_def_436,type,
    hAPP_f19336718_state: ( fun_fu1117478128_state * fun_pn12888928e_bool ) > fun_pn1262351275_state ).

tff(func_def_437,type,
    hAPP_f387017471_state: ( fun_fu1258737587_state * fun_pn12888928e_bool ) > fun_pn203430818_state ).

tff(func_def_438,type,
    hAPP_f649174806e_bool: ( fun_fu1576495102e_bool * fun_pn250273176l_bool ) > fun_fu410713561e_bool ).

tff(func_def_439,type,
    hAPP_f1841796439l_bool: ( fun_fu1935134213l_bool * fun_pn1521100553e_bool ) > fun_pn1419495779l_bool ).

tff(func_def_440,type,
    hAPP_f443781369e_bool: ( fun_fu1270025057e_bool * fun_pn1521100553e_bool ) > fun_Ho1262521325e_bool ).

tff(func_def_441,type,
    hAPP_f1521026326_state: ( fun_fu1269246_state * fun_pn983485306_state ) > fun_fu1404073531_state ).

tff(func_def_442,type,
    hAPP_f1993951364_state: ( fun_fu1853703270_state * fun_pn1681257857_state ) > fun_fu799108608_state ).

tff(func_def_443,type,
    hAPP_f837293113e_bool: ( fun_fu1324476193e_bool * fun_pn1824415994m_bool ) > fun_op956372318e_bool ).

tff(func_def_444,type,
    hAPP_f1673966486on_com: ( fun_fu1908735358on_com * fun_pn1580610524on_com ) > fun_fu311741085on_com ).

tff(func_def_445,type,
    hAPP_f2093196134on_com: ( fun_fu1867668424on_com * fun_pn1673019570on_com ) > fun_fu544728625on_com ).

tff(func_def_446,type,
    hAPP_f661147897e_bool: ( fun_fu696558561e_bool * fun_pn422929397l_bool ) > fun_fu410713561e_bool ).

tff(func_def_447,type,
    hAPP_f698292281e_bool: ( fun_fu1018334113e_bool * fun_pn479984722e_bool ) > fun_fu1286003254e_bool ).

tff(func_def_448,type,
    hAPP_f720869462_state: ( fun_fu719860798_state * fun_pn640817967_state ) > fun_fu1117478128_state ).

tff(func_def_449,type,
    hAPP_f1863577801e_bool: ( fun_fu440800555e_bool * fun_pn1419495779l_bool ) > fun_fu665342307e_bool ).

tff(func_def_450,type,
    hAPP_f1853922773e_bool: ( fun_fu1259744701e_bool * fun_pn73701814e_bool ) > fun_fu1670517174e_bool ).

tff(func_def_451,type,
    hAPP_f327114704l_bool: ( fun_fu93307442l_bool * fun_state_bool ) > bool ).

tff(func_def_452,type,
    hAPP_f1759915619e_bool: ( fun_fu373216837e_bool * fun_state_bool ) > fun_state_bool ).

tff(func_def_453,type,
    hAPP_f1863945078e_bool: ( fun_fu1998731480e_bool * fun_state_bool ) > fun_st1506752259e_bool ).

tff(func_def_454,type,
    hAPP_f1259673775l_bool: ( fun_fu1658206819l_bool * fun_state_bool ) > fun_st2063251938l_bool ).

tff(func_def_455,type,
    hAPP_f83715540_state: ( fun_fu1425861174_state * fun_st1506752259e_bool ) > hoare_363350478_state ).

tff(func_def_456,type,
    hAPP_f960042659_state: ( fun_fu515363031_state * fun_st1506752259e_bool ) > fun_co2056507177_state ).

tff(func_def_457,type,
    hAPP_f1012183542e_bool: ( fun_fu2104550360e_bool * fun_st1506752259e_bool ) > fun_state_bool ).

tff(func_def_458,type,
    hAPP_f817621513e_bool: ( fun_fu402792811e_bool * fun_st1506752259e_bool ) > fun_st1506752259e_bool ).

tff(func_def_459,type,
    hAPP_f249262236e_bool: ( fun_fu475229566e_bool * fun_st1506752259e_bool ) > fun_st858662806e_bool ).

tff(func_def_460,type,
    hAPP_f1283379615l_bool: ( fun_fu1982748883l_bool * fun_st1506752259e_bool ) > fun_st2116860965l_bool ).

tff(func_def_461,type,
    hAPP_f1935169308e_bool: ( fun_fu1867913342e_bool * fun_st858662806e_bool ) > fun_st1506752259e_bool ).

tff(func_def_462,type,
    hAPP_f873506917e_bool: ( fun_fu1454697805e_bool * fun_st2116860965l_bool ) > fun_st1483075957e_bool ).

tff(func_def_463,type,
    hAPP_f1138284024e_bool: ( fun_fu1088452192e_bool * fun_st2116860965l_bool ) > fun_st277393160e_bool ).

tff(func_def_464,type,
    hAPP_f167292325e_bool: ( fun_fu1219323149e_bool * fun_st2063251938l_bool ) > fun_bo1936561970e_bool ).

tff(func_def_465,type,
    hAPP_f644196280e_bool: ( fun_fu1047394976e_bool * fun_st2063251938l_bool ) > fun_fu373216837e_bool ).

tff(func_def_466,type,
    hAPP_f701449317e_bool: ( fun_fu13754701e_bool * fun_st1483075957e_bool ) > fun_bo898473669e_bool ).

tff(func_def_467,type,
    hAPP_f915354021e_bool: ( fun_fu1436120077e_bool * fun_st277393160e_bool ) > fun_fu1998731480e_bool ).

tff(func_def_468,type,
    hAPP_f387058535l_bool: ( fun_fu1255657237l_bool * fun_bool_bool ) > bool ).

tff(func_def_469,type,
    hAPP_f961197973l_bool: ( fun_fu701319549l_bool * fun_bool_bool ) > fun_bool_bool ).

tff(func_def_470,type,
    hAPP_f875047427e_bool: ( fun_fu1902738103e_bool * fun_Ho713471079_pname ) > fun_Ho1262521325e_bool ).

tff(func_def_471,type,
    hAPP_f1577230223ol_com: ( fun_fu1203007991ol_com * fun_Ho320143120e_bool ) > com ).

tff(func_def_472,type,
    hAPP_f1309420425_pname: ( fun_fu2380401_pname * fun_Ho320143120e_bool ) > pname ).

tff(func_def_473,type,
    hAPP_f568432088l_bool: ( fun_fu1996308102l_bool * fun_Ho320143120e_bool ) > bool ).

tff(func_def_474,type,
    hAPP_f1242401993_state: ( fun_fu700438391_state * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_475,type,
    hAPP_f497466683m_bool: ( fun_fu1829847273m_bool * fun_Ho320143120e_bool ) > fun_com_bool ).

tff(func_def_476,type,
    hAPP_f1659249646_state: ( fun_fu47394518_state * fun_Ho320143120e_bool ) > fun_co2056507177_state ).

tff(func_def_477,type,
    hAPP_f773602357e_bool: ( fun_fu665342307e_bool * fun_Ho320143120e_bool ) > fun_pname_bool ).

tff(func_def_478,type,
    hAPP_f265219918e_bool: ( fun_fu1670517174e_bool * fun_Ho320143120e_bool ) > fun_pn1521100553e_bool ).

tff(func_def_479,type,
    hAPP_f877220222e_bool: ( fun_fu1232608556e_bool * fun_Ho320143120e_bool ) > fun_st1506752259e_bool ).

tff(func_def_480,type,
    hAPP_f1395767268l_bool: ( fun_fu24650956l_bool * fun_Ho320143120e_bool ) > fun_bool_bool ).

tff(func_def_481,type,
    hAPP_f1749453397e_bool: ( fun_fu1066574909e_bool * fun_Ho320143120e_bool ) > fun_Ho320143120e_bool ).

tff(func_def_482,type,
    hAPP_f1422032445l_bool: ( fun_fu1212692075l_bool * fun_Ho320143120e_bool ) > fun_Ho544647106l_bool ).

tff(func_def_483,type,
    hAPP_f596150574e_bool: ( fun_fu296346460e_bool * fun_Ho320143120e_bool ) > fun_Ho424838195e_bool ).

tff(func_def_484,type,
    hAPP_f766639041l_bool: ( fun_fu1099743017l_bool * fun_Ho320143120e_bool ) > fun_fu1430349052l_bool ).

tff(func_def_485,type,
    hAPP_f680128379_state: ( fun_fu422494307_state * fun_Ho320143120e_bool ) > fun_fu1425861174_state ).

tff(func_def_486,type,
    hAPP_f726209793l_bool: ( fun_fu2036837167l_bool * fun_Ho320143120e_bool ) > fun_fu1996308102l_bool ).

tff(func_def_487,type,
    hAPP_f1043393922e_bool: ( fun_fu531943146e_bool * fun_Ho320143120e_bool ) > fun_fu1066574909e_bool ).

tff(func_def_488,type,
    hAPP_f1610329741l_bool: ( fun_fu1467933941l_bool * fun_Ho320143120e_bool ) > fun_fu1972704968l_bool ).

tff(func_def_489,type,
    hAPP_f644061942e_bool: ( fun_fu1271036068e_bool * fun_Ho320143120e_bool ) > fun_fu1671561851e_bool ).

tff(func_def_490,type,
    hAPP_f1941218614l_bool: ( fun_fu1997055262l_bool * fun_Ho320143120e_bool ) > fun_fu1858490225l_bool ).

tff(func_def_491,type,
    hAPP_f355123231e_bool: ( fun_fu513998669e_bool * fun_Ho901937921_state ) > fun_Ho424838195e_bool ).

tff(func_def_492,type,
    hAPP_f626747953e_bool: ( fun_fu323425945e_bool * fun_Ho1262521325e_bool ) > fun_pn1521100553e_bool ).

tff(func_def_493,type,
    hAPP_f399561463l_bool: ( fun_fu1117089189l_bool * fun_Ho1262521325e_bool ) > fun_Ho769804319l_bool ).

tff(func_def_494,type,
    hAPP_f1612626488e_bool: ( fun_fu1914413292e_bool * fun_Ho544647106l_bool ) > fun_fu1066574909e_bool ).

tff(func_def_495,type,
    hAPP_f265222234e_bool: ( fun_fu956445838e_bool * fun_Ho424838195e_bool ) > fun_Ho320143120e_bool ).

tff(func_def_496,type,
    hAPP_f114072425e_bool: ( fun_fu1590463051e_bool * fun_Ho424838195e_bool ) > fun_Ho424838195e_bool ).

tff(func_def_497,type,
    hAPP_f565239043l_bool: ( fun_fu390015671l_bool * fun_Ho424838195e_bool ) > fun_Ho177530809l_bool ).

tff(func_def_498,type,
    hAPP_f306007574e_bool: ( fun_fu708272248e_bool * fun_Ho424838195e_bool ) > fun_Ho1500656352e_bool ).

tff(func_def_499,type,
    hAPP_f1421439337e_bool: ( fun_fu1211884491e_bool * fun_Ho769804319l_bool ) > fun_fu1937087815e_bool ).

tff(func_def_500,type,
    hAPP_f1072682137e_bool: ( fun_fu90083841e_bool * fun_Ho177530809l_bool ) > fun_fu1066574909e_bool ).

tff(func_def_501,type,
    hAPP_f961492031e_bool: ( fun_fu739615905e_bool * fun_Ho1500656352e_bool ) > fun_fu296346460e_bool ).

tff(func_def_502,type,
    hAPP_f1898485935m_bool: ( fun_fu1004917649m_bool * fun_fu1107293590m_bool ) > fun_fu1107293590m_bool ).

tff(func_def_503,type,
    hAPP_f926121585_state: ( fun_fu2101253843_state * fun_fu78728705ol_com ) > fun_fu1476767085_state ).

tff(func_def_504,type,
    hAPP_f1385420507e_bool: ( fun_fu265667599e_bool * fun_fu1499449723_pname ) > fun_fu410713561e_bool ).

tff(func_def_505,type,
    hAPP_f1935102916l_bool: ( fun_fu399576434l_bool * fun_fu1430349052l_bool ) > bool ).

tff(func_def_506,type,
    hAPP_f674760225e_bool: ( fun_fu608906319e_bool * fun_fu1430349052l_bool ) > fun_pname_bool ).

tff(func_def_507,type,
    hAPP_f1912490857e_bool: ( fun_fu2094240849e_bool * fun_fu1430349052l_bool ) > fun_Ho320143120e_bool ).

tff(func_def_508,type,
    hAPP_f559147733l_bool: ( fun_fu2087345469l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).

tff(func_def_509,type,
    hAPP_f143162813l_bool: ( fun_fu1747008875l_bool * fun_fu1430349052l_bool ) > fun_fu31783638l_bool ).

tff(func_def_510,type,
    hAPP_f417341722l_bool: ( fun_fu1201163592l_bool * fun_fu1430349052l_bool ) > fun_fu802393907l_bool ).

tff(func_def_511,type,
    hAPP_f510955609l_bool: ( fun_fu1911931399l_bool * fun_fu1430349052l_bool ) > fun_fu399576434l_bool ).

tff(func_def_512,type,
    hAPP_f230953622l_bool: ( fun_fu1759027710l_bool * fun_fu1430349052l_bool ) > fun_fu2087345469l_bool ).

tff(func_def_513,type,
    hAPP_f272807711e_bool: ( fun_fu274677197e_bool * fun_fu54631149_state ) > fun_fu1937087815e_bool ).

tff(func_def_514,type,
    hAPP_f907647536_state: ( fun_fu319306468_state * fun_fu121404128_state ) > fun_fu2101253843_state ).

tff(func_def_515,type,
    hAPP_f2082757169l_bool: ( fun_fu154623769l_bool * fun_fu410713561e_bool ) > fun_pn422929397l_bool ).

tff(func_def_516,type,
    hAPP_f2070959648_state: ( fun_fu411634056_state * fun_fu1022316450e_bool ) > fun_fu54631149_state ).

tff(func_def_517,type,
    hAPP_f1215319405_state: ( fun_fu717443355_state * fun_fu1022316450e_bool ) > fun_fu121404128_state ).

tff(func_def_518,type,
    hAPP_f624840228l_bool: ( fun_fu502368472l_bool * fun_fu31783638l_bool ) > fun_fu2087345469l_bool ).

tff(func_def_519,type,
    hAPP_f1075942761l_bool: ( fun_fu1582046155l_bool * fun_fu1937087815e_bool ) > fun_Ho769804319l_bool ).

tff(func_def_520,type,
    hAPP_f1297925993l_bool: ( fun_fu1901728075l_bool * fun_fu802393907l_bool ) > fun_fu802393907l_bool ).

tff(func_def_521,type,
    hAPP_f1149191722l_bool: ( fun_fu1914144780l_bool * fun_fu802393907l_bool ) > fun_fu1232732404l_bool ).

tff(func_def_522,type,
    hAPP_f182188835e_bool: ( fun_fu532860805e_bool * fun_fu2101097872e_bool ) > fun_fu2101097872e_bool ).

tff(func_def_523,type,
    hAPP_f820078872_state: ( fun_fu1061167308_state * fun_fu1476767085_state ) > fun_fu411634056_state ).

tff(func_def_524,type,
    hAPP_f1145991873l_bool: ( fun_fu445680937l_bool * fun_fu931343505l_bool ) > fun_fu2087345469l_bool ).

tff(func_def_525,type,
    hAPP_f836143551l_bool: ( fun_fu1958014113l_bool * fun_fu1232732404l_bool ) > fun_fu1201163592l_bool ).

tff(func_def_526,type,
    hAPP_f153770241_state: ( fun_fu1414752361_state * fun_fu1203007991ol_com ) > fun_fu422494307_state ).

tff(func_def_527,type,
    hAPP_f1544555711e_bool: ( fun_fu333202797e_bool * fun_fu2380401_pname ) > fun_fu665342307e_bool ).

tff(func_def_528,type,
    hAPP_f1287348838l_bool: ( fun_fu1972704968l_bool * fun_fu1996308102l_bool ) > bool ).

tff(func_def_529,type,
    hAPP_f1892738755e_bool: ( fun_fu1792383909e_bool * fun_fu1996308102l_bool ) > fun_pname_bool ).

tff(func_def_530,type,
    hAPP_f1180969799e_bool: ( fun_fu1671561851e_bool * fun_fu1996308102l_bool ) > fun_Ho320143120e_bool ).

tff(func_def_531,type,
    hAPP_f85652879l_bool: ( fun_fu1858490225l_bool * fun_fu1996308102l_bool ) > fun_fu1996308102l_bool ).

tff(func_def_532,type,
    hAPP_f945781379l_bool: ( fun_fu253717047l_bool * fun_fu1996308102l_bool ) > fun_fu24650956l_bool ).

tff(func_def_533,type,
    hAPP_f434845752l_bool: ( fun_fu2118416282l_bool * fun_fu1996308102l_bool ) > fun_fu2036837167l_bool ).

tff(func_def_534,type,
    hAPP_f746351743l_bool: ( fun_fu1575689779l_bool * fun_fu1996308102l_bool ) > fun_fu1972704968l_bool ).

tff(func_def_535,type,
    hAPP_f1175211816l_bool: ( fun_fu1392972380l_bool * fun_fu1996308102l_bool ) > fun_fu1858490225l_bool ).

tff(func_def_536,type,
    hAPP_f440040771e_bool: ( fun_fu900385015e_bool * fun_fu700438391_state ) > fun_fu1066574909e_bool ).

tff(func_def_537,type,
    hAPP_f2014973160_state: ( fun_fu1698101968_state * fun_fu47394518_state ) > fun_fu1414752361_state ).

tff(func_def_538,type,
    hAPP_f883421385l_bool: ( fun_fu765334827l_bool * fun_fu665342307e_bool ) > fun_pn1419495779l_bool ).

tff(func_def_539,type,
    hAPP_f605405862_state: ( fun_fu543459464_state * fun_fu1232608556e_bool ) > fun_fu700438391_state ).

tff(func_def_540,type,
    hAPP_f1323754599_state: ( fun_fu2064421403_state * fun_fu1232608556e_bool ) > fun_fu47394518_state ).

tff(func_def_541,type,
    hAPP_f927797370l_bool: ( fun_fu1214779746l_bool * fun_fu24650956l_bool ) > fun_fu1858490225l_bool ).

tff(func_def_542,type,
    hAPP_f1585300113l_bool: ( fun_fu2114617849l_bool * fun_fu1066574909e_bool ) > fun_Ho177530809l_bool ).

tff(func_def_543,type,
    hAPP_f1593397690_state: ( fun_fu720446882_state * fun_fu422494307_state ) > fun_fu543459464_state ).

tff(func_def_544,type,
    hAPP_f205303905l_bool: ( fun_fu103205827l_bool * fun_fu2036837167l_bool ) > fun_fu2036837167l_bool ).

tff(func_def_545,type,
    hAPP_f471491948l_bool: ( fun_fu1005788192l_bool * fun_fu2036837167l_bool ) > fun_fu1997055262l_bool ).

tff(func_def_546,type,
    hAPP_f1873524693e_bool: ( fun_fu1281251517e_bool * fun_fu531943146e_bool ) > fun_fu531943146e_bool ).

tff(func_def_547,type,
    hAPP_f1854331281l_bool: ( fun_fu634959481l_bool * fun_fu1467933941l_bool ) > fun_fu1858490225l_bool ).

tff(func_def_548,type,
    hAPP_f1793815761l_bool: ( fun_fu1987524409l_bool * fun_fu1997055262l_bool ) > fun_fu2118416282l_bool ).

tff(func_def_549,type,
    hAPP_f389811538l_bool: ( fun_fu1438281908l_bool * fun_fu399576434l_bool ) > bool ).

tff(func_def_550,type,
    hAPP_f783502055l_bool: ( fun_fu1610316873l_bool * fun_fu399576434l_bool ) > fun_fu399576434l_bool ).

tff(func_def_551,type,
    hAPP_f1879335953l_bool: ( fun_fu1787620979l_bool * fun_fu1911931399l_bool ) > fun_fu1911931399l_bool ).

tff(func_def_552,type,
    hAPP_f1477350485l_bool: ( fun_fu427611837l_bool * fun_fu1759027710l_bool ) > fun_fu1759027710l_bool ).

tff(func_def_553,type,
    hAPP_f834704272l_bool: ( fun_fu1165654846l_bool * fun_fu1972704968l_bool ) > bool ).

tff(func_def_554,type,
    hAPP_f891779797l_bool: ( fun_fu1305195069l_bool * fun_fu1972704968l_bool ) > fun_fu1972704968l_bool ).

tff(func_def_555,type,
    hAPP_f992844137l_bool: ( fun_fu541826379l_bool * fun_fu1575689779l_bool ) > fun_fu1575689779l_bool ).

tff(func_def_556,type,
    hAPP_f103280059l_bool: ( fun_fu357036829l_bool * fun_fu1392972380l_bool ) > fun_fu1392972380l_bool ).

tff(func_def_557,type,
    member_com: fun_co1633267573l_bool ).

tff(func_def_558,type,
    member_pname: fun_pn422929397l_bool ).

tff(func_def_559,type,
    member_bool: fun_bo492988759l_bool ).

tff(func_def_560,type,
    member1253905979_state: fun_Ho177530809l_bool ).

tff(func_def_561,type,
    member799430823e_bool: fun_fu931343505l_bool ).

tff(func_def_562,type,
    member1534059107e_bool: fun_fu1467933941l_bool ).

tff(func_def_563,type,
    fa: fun_Ho320143120e_bool ).

tff(func_def_564,type,
    pn: pname ).

tff(func_def_565,type,
    y: com ).

tff(func_def_566,type,
    sK0: fun_pname_bool > pname ).

tff(func_def_567,type,
    sK1: fun_fu1430349052l_bool > fun_pname_bool ).

tff(func_def_568,type,
    sK2: fun_fu1996308102l_bool > fun_Ho320143120e_bool ).

tff(func_def_569,type,
    sK3: fun_com_bool > com ).

tff(func_def_570,type,
    sK4: fun_Ho320143120e_bool > hoare_363350478_state ).

tff(func_def_571,type,
    sK5: fun_pname_bool > pname ).

tff(func_def_572,type,
    sK6: fun_fu1430349052l_bool > fun_pname_bool ).

tff(func_def_573,type,
    sK7: fun_fu1996308102l_bool > fun_Ho320143120e_bool ).

tff(func_def_574,type,
    sK8: fun_com_bool > com ).

tff(func_def_575,type,
    sK9: fun_Ho320143120e_bool > hoare_363350478_state ).

tff(func_def_576,type,
    sK10: fun_com_bool > com ).

tff(func_def_577,type,
    sK11: fun_Ho320143120e_bool > hoare_363350478_state ).

tff(func_def_578,type,
    sK12: fun_pname_bool > pname ).

tff(func_def_579,type,
    sK13: fun_com_bool > com ).

tff(func_def_580,type,
    sK14: fun_Ho320143120e_bool > hoare_363350478_state ).

tff(func_def_581,type,
    sK15: fun_pname_bool > pname ).

tff(func_def_582,type,
    sK16: ( hoare_363350478_state * fun_pn1262351275_state * fun_pname_bool ) > pname ).

tff(func_def_583,type,
    sK17: ( fun_pname_bool * fun_Ho713471079_pname * fun_Ho320143120e_bool ) > fun_Ho320143120e_bool ).

tff(func_def_584,type,
    sK18: ( fun_Ho320143120e_bool * fun_pn1262351275_state * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_585,type,
    sK19: fun_Ho320143120e_bool > pname ).

tff(func_def_586,type,
    sK20: ( hoare_363350478_state * fun_co482540593_state * fun_com_bool ) > com ).

tff(func_def_587,type,
    sK21: ( pname * fun_com_pname * fun_com_bool ) > com ).

tff(func_def_588,type,
    sK22: ( com * fun_Ho938602221te_com * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_589,type,
    sK23: ( com * fun_pname_com * fun_pname_bool ) > pname ).

tff(func_def_590,type,
    sK24: ( hoare_363350478_state * fun_pn1262351275_state * fun_pname_bool ) > pname ).

tff(func_def_591,type,
    sK25: ( fun_fu1362071682l_bool * fun_com_bool ) > com ).

tff(func_def_592,type,
    sK26: ( fun_fu1362071682l_bool * fun_com_bool ) > fun_com_bool ).

tff(func_def_593,type,
    sK27: ( fun_fu399576434l_bool * fun_fu1430349052l_bool ) > fun_pname_bool ).

tff(func_def_594,type,
    sK28: ( fun_fu399576434l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).

tff(func_def_595,type,
    sK29: ( fun_fu1972704968l_bool * fun_fu1996308102l_bool ) > fun_Ho320143120e_bool ).

tff(func_def_596,type,
    sK30: ( fun_fu1972704968l_bool * fun_fu1996308102l_bool ) > fun_fu1996308102l_bool ).

tff(func_def_597,type,
    sK31: ( fun_fu1430349052l_bool * fun_pname_bool ) > pname ).

tff(func_def_598,type,
    sK32: ( fun_fu1430349052l_bool * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_599,type,
    sK33: ( fun_fu1996308102l_bool * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_600,type,
    sK34: ( fun_fu1996308102l_bool * fun_Ho320143120e_bool ) > fun_Ho320143120e_bool ).

tff(func_def_601,type,
    sK35: pname > com ).

tff(func_def_602,type,
    sK36: ( fun_com_bool * fun_com_bool ) > com ).

tff(func_def_603,type,
    sK37: ( fun_Ho320143120e_bool * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_604,type,
    sK38: ( fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_605,type,
    sK39: ( fun_fu54631149_state * fun_fu1430349052l_bool * fun_Ho320143120e_bool ) > fun_fu1430349052l_bool ).

tff(func_def_606,type,
    sK40: ( fun_fu700438391_state * fun_fu1996308102l_bool * fun_Ho320143120e_bool ) > fun_fu1996308102l_bool ).

tff(func_def_607,type,
    sK41: ( fun_fu1499449723_pname * fun_fu1430349052l_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).

tff(func_def_608,type,
    sK42: ( fun_fu2380401_pname * fun_fu1996308102l_bool * fun_pname_bool ) > fun_fu1996308102l_bool ).

tff(func_def_609,type,
    sK43: ( fun_Ho1262521325e_bool * fun_Ho320143120e_bool * fun_fu1430349052l_bool ) > fun_Ho320143120e_bool ).

tff(func_def_610,type,
    sK44: ( fun_Ho424838195e_bool * fun_Ho320143120e_bool * fun_fu1996308102l_bool ) > fun_Ho320143120e_bool ).

tff(func_def_611,type,
    sK45: ( fun_Ho713471079_pname * fun_Ho320143120e_bool * fun_pname_bool ) > fun_Ho320143120e_bool ).

tff(func_def_612,type,
    sK46: ( fun_pn800050071e_bool * fun_pname_bool * fun_fu1430349052l_bool ) > fun_pname_bool ).

tff(func_def_613,type,
    sK47: ( fun_pn1521100553e_bool * fun_pname_bool * fun_fu1996308102l_bool ) > fun_pname_bool ).

tff(func_def_614,type,
    sK48: ( fun_pname_pname * fun_pname_bool * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_615,type,
    sK49: ( fun_pn1262351275_state * fun_pname_bool * fun_Ho320143120e_bool ) > fun_pname_bool ).

tff(func_def_616,type,
    sK50: fun_fu1362071682l_bool > com ).

tff(func_def_617,type,
    sK51: fun_fu1362071682l_bool > fun_com_bool ).

tff(func_def_618,type,
    sK52: fun_fu399576434l_bool > fun_pname_bool ).

tff(func_def_619,type,
    sK53: fun_fu399576434l_bool > fun_fu1430349052l_bool ).

tff(func_def_620,type,
    sK54: fun_fu1972704968l_bool > fun_Ho320143120e_bool ).

tff(func_def_621,type,
    sK55: fun_fu1972704968l_bool > fun_fu1996308102l_bool ).

tff(func_def_622,type,
    sK56: fun_fu1430349052l_bool > pname ).

tff(func_def_623,type,
    sK57: fun_fu1430349052l_bool > fun_pname_bool ).

tff(func_def_624,type,
    sK58: fun_fu1996308102l_bool > hoare_363350478_state ).

tff(func_def_625,type,
    sK59: fun_fu1996308102l_bool > fun_Ho320143120e_bool ).

tff(func_def_626,type,
    sK60: fun_com_bool > fun_com_bool ).

tff(func_def_627,type,
    sK61: fun_com_bool > com ).

tff(func_def_628,type,
    sK62: fun_fu1430349052l_bool > fun_fu1430349052l_bool ).

tff(func_def_629,type,
    sK63: fun_fu1430349052l_bool > fun_pname_bool ).

tff(func_def_630,type,
    sK64: fun_fu1996308102l_bool > fun_fu1996308102l_bool ).

tff(func_def_631,type,
    sK65: fun_fu1996308102l_bool > fun_Ho320143120e_bool ).

tff(func_def_632,type,
    sK66: fun_pname_bool > fun_pname_bool ).

tff(func_def_633,type,
    sK67: fun_pname_bool > pname ).

tff(func_def_634,type,
    sK68: fun_Ho320143120e_bool > fun_Ho320143120e_bool ).

tff(func_def_635,type,
    sK69: fun_Ho320143120e_bool > hoare_363350478_state ).

tff(func_def_636,type,
    sK70: ( fun_co482540593_state * fun_com_bool ) > com ).

tff(func_def_637,type,
    sK71: ( fun_Ho901937921_state * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_638,type,
    sK72: ( fun_fu54631149_state * fun_fu1430349052l_bool ) > fun_pname_bool ).

tff(func_def_639,type,
    sK73: ( fun_fu700438391_state * fun_fu1996308102l_bool ) > fun_Ho320143120e_bool ).

tff(func_def_640,type,
    sK74: ( fun_com_pname * fun_com_bool ) > com ).

tff(func_def_641,type,
    sK75: ( fun_Ho713471079_pname * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_642,type,
    sK76: ( fun_pname_pname * fun_pname_bool ) > pname ).

tff(func_def_643,type,
    sK77: ( fun_fu1499449723_pname * fun_fu1430349052l_bool ) > fun_pname_bool ).

tff(func_def_644,type,
    sK78: ( fun_fu2380401_pname * fun_fu1996308102l_bool ) > fun_Ho320143120e_bool ).

tff(func_def_645,type,
    sK79: ( fun_Ho1262521325e_bool * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_646,type,
    sK80: ( fun_Ho424838195e_bool * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_647,type,
    sK81: ( fun_pn800050071e_bool * fun_pname_bool ) > pname ).

tff(func_def_648,type,
    sK82: ( fun_pn1521100553e_bool * fun_pname_bool ) > pname ).

tff(func_def_649,type,
    sK83: ( fun_pn1262351275_state * fun_pname_bool ) > pname ).

tff(func_def_650,type,
    sK84: ( com * fun_com_option_com ) > com ).

tff(func_def_651,type,
    sK85: ( hoare_363350478_state * fun_Ho12798188_pname ) > pname ).

tff(func_def_652,type,
    sK86: ( hoare_363350478_state * fun_Ho382349394_state ) > hoare_363350478_state ).

tff(func_def_653,type,
    sK87: ( pname * fun_pn1342468758_pname ) > pname ).

tff(func_def_654,type,
    sK88: ( pname * fun_pn1405249832_state ) > hoare_363350478_state ).

tff(func_def_655,type,
    sK89: ( pname * fun_pname_option_com ) > com ).

tff(func_def_656,type,
    sK90: ( fun_Ho938602221te_com * fun_com_bool * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_657,type,
    sK91: ( fun_Ho713471079_pname * fun_pname_bool * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_658,type,
    sK92: ( fun_pname_com * fun_com_bool * fun_pname_bool ) > pname ).

tff(func_def_659,type,
    sK93: ( fun_pname_pname * fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_660,type,
    sK94: ( fun_co482540593_state * fun_Ho320143120e_bool * fun_com_bool ) > com ).

tff(func_def_661,type,
    sK95: ( fun_com_pname * fun_pname_bool * fun_com_bool ) > com ).

tff(func_def_662,type,
    sK96: ( fun_pn1262351275_state * fun_Ho320143120e_bool * fun_pname_bool ) > pname ).

tff(func_def_663,type,
    sK97: fun_com_bool > com ).

tff(func_def_664,type,
    sK98: fun_com_bool > fun_com_bool ).

tff(func_def_665,type,
    sK99: fun_pname_bool > pname ).

tff(func_def_666,type,
    sK100: fun_pname_bool > fun_pname_bool ).

tff(func_def_667,type,
    sK101: fun_Ho320143120e_bool > hoare_363350478_state ).

tff(func_def_668,type,
    sK102: fun_Ho320143120e_bool > fun_Ho320143120e_bool ).

tff(func_def_669,type,
    sK103: state ).

tff(func_def_670,type,
    sK104: state ).

tff(func_def_671,type,
    sK105: ( fun_pname_bool * fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_672,type,
    sK106: ( fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_673,type,
    sK107: ( fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_674,type,
    sK108: ( fun_Ho320143120e_bool * fun_Ho320143120e_bool * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_675,type,
    sK109: ( fun_Ho320143120e_bool * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_676,type,
    sK110: ( fun_Ho320143120e_bool * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_677,type,
    sK111: ( fun_pname_bool * fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_678,type,
    sK112: ( fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_679,type,
    sK113: ( fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_680,type,
    sK114: ( fun_Ho320143120e_bool * fun_Ho320143120e_bool * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_681,type,
    sK115: ( fun_Ho320143120e_bool * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_682,type,
    sK116: ( fun_Ho320143120e_bool * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_683,type,
    sK117: ( fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_684,type,
    sK118: ( fun_Ho320143120e_bool * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_685,type,
    sK119: ( fun_fu1022316450e_bool * fun_fu1022316450e_bool * fun_Ho320143120e_bool * fun_fu1022316450e_bool * fun_fu78728705ol_com * fun_fu1022316450e_bool ) > fun_pname_bool ).

tff(func_def_686,type,
    sK120: ( fun_fu1232608556e_bool * fun_fu1232608556e_bool * fun_Ho320143120e_bool * fun_fu1232608556e_bool * fun_fu1203007991ol_com * fun_fu1232608556e_bool ) > fun_Ho320143120e_bool ).

tff(func_def_687,type,
    sK121: ( fun_pn12888928e_bool * fun_pn12888928e_bool * fun_Ho320143120e_bool * fun_pn12888928e_bool * fun_pname_com * fun_pn12888928e_bool ) > pname ).

tff(func_def_688,type,
    sK122: ( fun_Ho320143120e_bool * com * fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).

tff(func_def_689,type,
    sK123: ( fun_Ho320143120e_bool * com * fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).

tff(func_def_690,type,
    sK124: ( fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).

tff(func_def_691,type,
    sK125: ( fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).

tff(func_def_692,type,
    sK126: ( fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).

tff(func_def_693,type,
    sK127: ( fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).

tff(func_def_694,type,
    sK128: ( fun_st1506752259e_bool * fun_st1506752259e_bool * fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).

tff(func_def_695,type,
    sK129: ( fun_st1506752259e_bool * fun_st1506752259e_bool * fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).

tff(func_def_696,type,
    sK130: ( fun_st1506752259e_bool * fun_st1506752259e_bool * fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).

tff(func_def_697,type,
    sK131: ( fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_698,type,
    sK132: ( fun_Ho320143120e_bool * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_699,type,
    sK133: state > state ).

tff(func_def_700,type,
    sK134: ( fun_pname_bool * option_pname ) > pname ).

tff(func_def_701,type,
    sK135: ( fun_Ho320143120e_bool * option131732143_state ) > hoare_363350478_state ).

tff(func_def_702,type,
    sK136: ( fun_com_bool * option_com ) > com ).

tff(func_def_703,type,
    sK137: fun_fu1362071682l_bool > com ).

tff(func_def_704,type,
    sK138: fun_fu1362071682l_bool > com ).

tff(func_def_705,type,
    sK139: fun_fu1362071682l_bool > fun_com_bool ).

tff(func_def_706,type,
    sK140: fun_fu399576434l_bool > fun_pname_bool ).

tff(func_def_707,type,
    sK141: fun_fu399576434l_bool > fun_pname_bool ).

tff(func_def_708,type,
    sK142: fun_fu399576434l_bool > fun_fu1430349052l_bool ).

tff(func_def_709,type,
    sK143: fun_fu1972704968l_bool > fun_Ho320143120e_bool ).

tff(func_def_710,type,
    sK144: fun_fu1972704968l_bool > fun_Ho320143120e_bool ).

tff(func_def_711,type,
    sK145: fun_fu1972704968l_bool > fun_fu1996308102l_bool ).

tff(func_def_712,type,
    sK146: fun_fu1430349052l_bool > pname ).

tff(func_def_713,type,
    sK147: fun_fu1430349052l_bool > pname ).

tff(func_def_714,type,
    sK148: fun_fu1430349052l_bool > fun_pname_bool ).

tff(func_def_715,type,
    sK149: fun_fu1996308102l_bool > hoare_363350478_state ).

tff(func_def_716,type,
    sK150: fun_fu1996308102l_bool > hoare_363350478_state ).

tff(func_def_717,type,
    sK151: fun_fu1996308102l_bool > fun_Ho320143120e_bool ).

tff(func_def_718,type,
    sK152: ( fun_fu410713561e_bool * fun_fu2101097872e_bool ) > fun_pname_bool ).

tff(func_def_719,type,
    sK153: ( fun_fu410713561e_bool * fun_fu2101097872e_bool ) > fun_pname_bool ).

tff(func_def_720,type,
    sK154: ( fun_fu1066574909e_bool * fun_fu531943146e_bool ) > fun_Ho320143120e_bool ).

tff(func_def_721,type,
    sK155: ( fun_fu1066574909e_bool * fun_fu531943146e_bool ) > fun_Ho320143120e_bool ).

tff(func_def_722,type,
    sK156: ( fun_pname_pname * fun_pn1208287926_pname ) > pname ).

tff(func_def_723,type,
    sK157: ( fun_pname_pname * fun_pn1208287926_pname ) > pname ).

tff(func_def_724,type,
    sK158: ( fun_Ho901937921_state * fun_Ho31865764_state ) > hoare_363350478_state ).

tff(func_def_725,type,
    sK159: ( fun_Ho901937921_state * fun_Ho31865764_state ) > hoare_363350478_state ).

tff(func_def_726,type,
    sK160: ( fun_com_com * fun_com_fun_com_com ) > com ).

tff(func_def_727,type,
    sK161: ( fun_com_com * fun_com_fun_com_com ) > com ).

tff(func_def_728,type,
    sK162: hoare_363350478_state > fun_st1506752259e_bool ).

tff(func_def_729,type,
    sK163: hoare_363350478_state > com ).

tff(func_def_730,type,
    sK164: hoare_363350478_state > fun_st1506752259e_bool ).

tff(func_def_731,type,
    sK165: fun_com_fun_com_com > com ).

tff(func_def_732,type,
    sK166: fun_com_fun_com_com > com ).

tff(func_def_733,type,
    sK167: fun_pn1208287926_pname > pname ).

tff(func_def_734,type,
    sK168: fun_pn1208287926_pname > pname ).

tff(func_def_735,type,
    sK169: fun_Ho31865764_state > hoare_363350478_state ).

tff(func_def_736,type,
    sK170: fun_Ho31865764_state > hoare_363350478_state ).

tff(func_def_737,type,
    sK171: fun_fu2101097872e_bool > fun_pname_bool ).

tff(func_def_738,type,
    sK172: fun_fu2101097872e_bool > fun_pname_bool ).

tff(func_def_739,type,
    sK173: fun_fu531943146e_bool > fun_Ho320143120e_bool ).

tff(func_def_740,type,
    sK174: fun_fu531943146e_bool > fun_Ho320143120e_bool ).

tff(func_def_741,type,
    sK175: ( fun_pn1262351275_state * fun_pn1262351275_state * fun_pname_bool ) > pname ).

tff(func_def_742,type,
    sK176: ( fun_Ho320143120e_bool * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_743,type,
    sK177: ( fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_744,type,
    sK178: ( fun_fu1430349052l_bool * fun_fu1430349052l_bool ) > fun_pname_bool ).

tff(func_def_745,type,
    sK179: ( fun_fu1996308102l_bool * fun_fu1996308102l_bool ) > fun_Ho320143120e_bool ).

tff(func_def_746,type,
    sK180: ( fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_747,type,
    sK181: ( fun_Ho320143120e_bool * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_748,type,
    sK182: ( com * fun_com_bool ) > fun_com_bool ).

tff(func_def_749,type,
    sK183: ( pname * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_750,type,
    sK184: ( hoare_363350478_state * fun_Ho320143120e_bool ) > fun_Ho320143120e_bool ).

tff(func_def_751,type,
    sK185: ( com * fun_com_bool ) > fun_com_bool ).

tff(func_def_752,type,
    sK186: ( pname * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_753,type,
    sK187: ( hoare_363350478_state * fun_Ho320143120e_bool ) > fun_Ho320143120e_bool ).

tff(func_def_754,type,
    sK188: fun_com_bool > com ).

tff(func_def_755,type,
    sK189: fun_pname_bool > pname ).

tff(func_def_756,type,
    sK190: fun_Ho320143120e_bool > hoare_363350478_state ).

tff(func_def_757,type,
    sK191: fun_bool_bool > bool ).

tff(func_def_758,type,
    sK192: fun_bool_bool > bool ).

tff(func_def_759,type,
    sK193: fun_fu410713561e_bool > fun_pname_bool ).

tff(func_def_760,type,
    sK194: fun_fu410713561e_bool > fun_pname_bool ).

tff(func_def_761,type,
    sK195: fun_fu1066574909e_bool > fun_Ho320143120e_bool ).

tff(func_def_762,type,
    sK196: fun_fu1066574909e_bool > fun_Ho320143120e_bool ).

tff(func_def_763,type,
    sK197: ( com * com * state * state ) > state ).

tff(func_def_764,type,
    sK198: ( fun_state_bool * com * state * state ) > state ).

tff(func_def_765,type,
    sK199: fun_bool_bool > bool ).

tff(func_def_766,type,
    sK200: fun_bool_bool > bool ).

tff(func_def_767,type,
    sK201: fun_fu410713561e_bool > fun_pname_bool ).

tff(func_def_768,type,
    sK202: fun_fu410713561e_bool > fun_pname_bool ).

tff(func_def_769,type,
    sK203: fun_fu1066574909e_bool > fun_Ho320143120e_bool ).

tff(func_def_770,type,
    sK204: fun_fu1066574909e_bool > fun_Ho320143120e_bool ).

tff(func_def_771,type,
    sK205: ( fun_st1506752259e_bool * fun_Ho320143120e_bool * com * fun_st1506752259e_bool ) > state ).

tff(func_def_772,type,
    sK206: ( fun_st1506752259e_bool * fun_Ho320143120e_bool * com * fun_st1506752259e_bool ) > state ).

tff(func_def_773,type,
    sK207: ( fun_st1506752259e_bool * fun_Ho320143120e_bool * com * fun_st1506752259e_bool * fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).

tff(func_def_774,type,
    sK208: ( fun_com_bool * fun_com_bool ) > com ).

tff(func_def_775,type,
    sK209: ( fun_com_bool * fun_com_bool ) > com ).

tff(func_def_776,type,
    sK210: ( fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_777,type,
    sK211: ( fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_778,type,
    sK212: ( fun_Ho320143120e_bool * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_779,type,
    sK213: ( fun_Ho320143120e_bool * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_780,type,
    sK214: fun_fu1362071682l_bool > com ).

tff(func_def_781,type,
    sK215: fun_fu1362071682l_bool > fun_com_bool ).

tff(func_def_782,type,
    sK216: fun_fu1430349052l_bool > pname ).

tff(func_def_783,type,
    sK217: fun_fu1430349052l_bool > fun_pname_bool ).

tff(func_def_784,type,
    sK218: fun_fu1996308102l_bool > hoare_363350478_state ).

tff(func_def_785,type,
    sK219: fun_fu1996308102l_bool > fun_Ho320143120e_bool ).

tff(func_def_786,type,
    sK220: fun_fu399576434l_bool > fun_pname_bool ).

tff(func_def_787,type,
    sK221: fun_fu399576434l_bool > fun_fu1430349052l_bool ).

tff(func_def_788,type,
    sK222: fun_fu1972704968l_bool > fun_Ho320143120e_bool ).

tff(func_def_789,type,
    sK223: fun_fu1972704968l_bool > fun_fu1996308102l_bool ).

tff(func_def_790,type,
    sK224: ( fun_com_bool * fun_com_bool * fun_com_bool ) > com ).

tff(func_def_791,type,
    sK225: ( fun_pname_bool * fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_792,type,
    sK226: ( fun_Ho320143120e_bool * fun_Ho320143120e_bool * fun_Ho320143120e_bool ) > hoare_363350478_state ).

tff(func_def_793,type,
    sK227: ( fun_fu1430349052l_bool * fun_fu1430349052l_bool * fun_fu1430349052l_bool ) > fun_pname_bool ).

tff(func_def_794,type,
    sK228: ( fun_fu1996308102l_bool * fun_fu1996308102l_bool * fun_fu1996308102l_bool ) > fun_Ho320143120e_bool ).

tff(func_def_795,type,
    sK229: bool ).

tff(func_def_796,type,
    sK230: bool ).

tff(func_def_797,type,
    sK231: bool ).

tff(func_def_798,type,
    sK232: fun_pname_bool ).

tff(func_def_799,type,
    sK233: fun_pname_bool ).

tff(func_def_800,type,
    sK234: fun_pname_bool ).

tff(func_def_801,type,
    sK235: fun_Ho320143120e_bool ).

tff(func_def_802,type,
    sK236: fun_Ho320143120e_bool ).

tff(func_def_803,type,
    sK237: fun_Ho320143120e_bool ).

tff(func_def_804,type,
    sK238: bool ).

tff(func_def_805,type,
    sK239: bool ).

tff(func_def_806,type,
    sK240: bool ).

tff(func_def_807,type,
    sK241: fun_pname_bool ).

tff(func_def_808,type,
    sK242: fun_pname_bool ).

tff(func_def_809,type,
    sK243: fun_pname_bool ).

tff(func_def_810,type,
    sK244: fun_Ho320143120e_bool ).

tff(func_def_811,type,
    sK245: fun_Ho320143120e_bool ).

tff(func_def_812,type,
    sK246: fun_Ho320143120e_bool ).

tff(func_def_813,type,
    sK247: ( fun_pname_option_com * pname ) > com ).

tff(func_def_814,type,
    sK248: option_com > com ).

tff(func_def_815,type,
    sK249: option_pname > pname ).

tff(func_def_816,type,
    sK250: option131732143_state > hoare_363350478_state ).

tff(func_def_817,type,
    sK251: option_com > com ).

tff(func_def_818,type,
    sK252: option_pname > pname ).

tff(func_def_819,type,
    sK253: option131732143_state > hoare_363350478_state ).

tff(func_def_820,type,
    sK254: fun_pname_option_com > pname ).

tff(func_def_821,type,
    sK255: ( fun_pname_bool * fun_fu1430349052l_bool ) > fun_pname_bool ).

tff(func_def_822,type,
    sK256: ( fun_Ho320143120e_bool * fun_fu1996308102l_bool ) > fun_Ho320143120e_bool ).

tff(func_def_823,type,
    sK257: ( bool * fun_bool_bool ) > bool ).

tff(func_def_824,type,
    sK258: ( fun_pname_bool * fun_fu1430349052l_bool ) > fun_pname_bool ).

tff(func_def_825,type,
    sK259: ( fun_Ho320143120e_bool * fun_fu1996308102l_bool ) > fun_Ho320143120e_bool ).

tff(func_def_826,type,
    sK260: ( bool * fun_bool_bool ) > bool ).

tff(func_def_827,type,
    sK261: ( fun_pname_bool * fun_Ho320143120e_bool ) > fun_Ho713471079_pname ).

tff(func_def_828,type,
    sK262: ( fun_pname_bool * fun_Ho320143120e_bool ) > fun_pn1262351275_state ).

tff(func_def_829,type,
    sK263: ( fun_Ho320143120e_bool * fun_pname_bool ) > fun_pn1262351275_state ).

tff(func_def_830,type,
    sK264: ( fun_Ho320143120e_bool * fun_pname_bool ) > fun_Ho713471079_pname ).

tff(func_def_831,type,
    sK265: option_com > com ).

tff(func_def_832,type,
    sK266: option_pname > pname ).

tff(func_def_833,type,
    sK267: option131732143_state > hoare_363350478_state ).

tff(func_def_834,type,
    sK268: ( fun_Ho713471079_pname * fun_Ho320143120e_bool * fun_pn1262351275_state * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_835,type,
    sK269: ( fun_Ho713471079_pname * fun_Ho320143120e_bool * fun_pn1262351275_state * fun_pname_bool ) > fun_pn1262351275_state ).

tff(func_def_836,type,
    sK270: ( fun_pn1262351275_state * fun_pname_bool * fun_Ho713471079_pname * fun_Ho320143120e_bool ) > fun_Ho320143120e_bool ).

tff(func_def_837,type,
    sK271: ( fun_pn1262351275_state * fun_pname_bool * fun_Ho713471079_pname * fun_Ho320143120e_bool ) > fun_Ho713471079_pname ).

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

tff(f1,axiom,
    ! [X0: fun_Ho320143120e_bool] : hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),bot_bo39439654e_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_empty) ).

tff(f5,axiom,
    ! [X0: fun_Ho320143120e_bool,X1: fun_Ho320143120e_bool,X2: fun_Ho320143120e_bool] :
      ( hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X1),X2))
     => ( hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),X1))
       => hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_cut) ).

tff(f67,axiom,
    ! [X0: com] :
      ( hBOOL(hoare_265376576gleton)
     => ( hBOOL(wT_bodies)
       => ( hBOOL(hAPP_com_bool(wt,X0))
         => hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,X0)),bot_bo39439654e_bool))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_MGF) ).

tff(f241,axiom,
    ! [X0: fun_Ho320143120e_bool] : ( hAPP_f1749453397e_bool(collec223185785_state,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_240_Collect__def) ).

tff(f242,axiom,
    ! [X0: fun_pname_bool] : ( hAPP_f759274231e_bool(collect_pname,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_241_Collect__def) ).

tff(f296,axiom,
    ! [X0: hoare_363350478_state] : ( hAPP_f1749453397e_bool(collec223185785_state,hAPP_H705653759e_bool(fequal1026769423_state,X0)) = hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,X0),bot_bo39439654e_bool) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_295_singleton__conv2) ).

tff(f298,axiom,
    ! [X0: pname,X1: com] :
      ( hBOOL(wT_bodies)
     => ( ( hAPP_p799580910on_com(body,X0) = hAPP_com_option_com(some_com,X1) )
       => hBOOL(hAPP_com_bool(wt,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_297_WT__bodiesD) ).

tff(f563,axiom,
    ! [X0: hoare_363350478_state] : ( set_Ho1327198534_state(hAPP_H1942146718_state(some_H629028223_state,X0)) = hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,X0),bot_bo39439654e_bool) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_562_Option_Oset_Osimps_I2_J) ).

tff(f1119,axiom,
    ! [X0: fun_pname_option_com] : ( dom_pname_com(X0) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),X0)),none_com))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1118_dom__def) ).

tff(f1352,axiom,
    hBOOL(hoare_265376576gleton),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f1353,axiom,
    hBOOL(wT_bodies),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

tff(f1357,axiom,
    hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).

tff(f1359,conjecture,
    hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y)),bot_bo39439654e_bool))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_7) ).

tff(f1360,negated_conjecture,
    ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y)),bot_bo39439654e_bool))),
    inference(negated_conjecture,[status(cth)],[f1359]) ).

tff(f1372,plain,
    ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y)),bot_bo39439654e_bool))),
    inference(flattening,[],[f1360]) ).

tff(f1378,plain,
    ! [X0: fun_Ho320143120e_bool,X1: fun_Ho320143120e_bool,X2: fun_Ho320143120e_bool] :
      ( hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),X2))
      | ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),X1))
      | ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X1),X2)) ),
    inference(ennf_transformation,[],[f5]) ).

tff(f1379,plain,
    ! [X0: fun_Ho320143120e_bool,X1: fun_Ho320143120e_bool,X2: fun_Ho320143120e_bool] :
      ( hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),X2))
      | ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),X1))
      | ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X1),X2)) ),
    inference(flattening,[],[f1378]) ).

tff(f1448,plain,
    ! [X0: com] :
      ( hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,X0)),bot_bo39439654e_bool)))
      | ~ hBOOL(hAPP_com_bool(wt,X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_265376576gleton) ),
    inference(ennf_transformation,[],[f67]) ).

tff(f1449,plain,
    ! [X0: com] :
      ( hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,X0)),bot_bo39439654e_bool)))
      | ~ hBOOL(hAPP_com_bool(wt,X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_265376576gleton) ),
    inference(flattening,[],[f1448]) ).

tff(f1594,plain,
    ! [X0: pname,X1: com] :
      ( hBOOL(hAPP_com_bool(wt,X1))
      | ( hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1) )
      | ~ hBOOL(wT_bodies) ),
    inference(ennf_transformation,[],[f298]) ).

tff(f1595,plain,
    ! [X0: pname,X1: com] :
      ( hBOOL(hAPP_com_bool(wt,X1))
      | ( hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1) )
      | ~ hBOOL(wT_bodies) ),
    inference(flattening,[],[f1594]) ).

tff(f2326,plain,
    ! [X0: fun_Ho320143120e_bool] : hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),bot_bo39439654e_bool)),
    inference(cnf_transformation,[],[f1]) ).

tff(f2330,plain,
    ! [X2: fun_Ho320143120e_bool,X0: fun_Ho320143120e_bool,X1: fun_Ho320143120e_bool] :
      ( ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X1),X2))
      | ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),X1))
      | hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),X2)) ),
    inference(cnf_transformation,[],[f1379]) ).

tff(f2401,plain,
    ! [X0: com] :
      ( ~ hBOOL(hoare_265376576gleton)
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hAPP_com_bool(wt,X0))
      | hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,X0)),bot_bo39439654e_bool))) ),
    inference(cnf_transformation,[],[f1449]) ).

tff(f2662,plain,
    ! [X0: fun_Ho320143120e_bool] : ( hAPP_f1749453397e_bool(collec223185785_state,X0) = X0 ),
    inference(cnf_transformation,[],[f241]) ).

tff(f2663,plain,
    ! [X0: fun_pname_bool] : ( hAPP_f759274231e_bool(collect_pname,X0) = X0 ),
    inference(cnf_transformation,[],[f242]) ).

tff(f2740,plain,
    ! [X0: hoare_363350478_state] : ( hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,X0),bot_bo39439654e_bool) = hAPP_f1749453397e_bool(collec223185785_state,hAPP_H705653759e_bool(fequal1026769423_state,X0)) ),
    inference(cnf_transformation,[],[f296]) ).

tff(f2743,plain,
    ! [X0: pname,X1: com] :
      ( ~ hBOOL(wT_bodies)
      | ( hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1) )
      | hBOOL(hAPP_com_bool(wt,X1)) ),
    inference(cnf_transformation,[],[f1595]) ).

tff(f3232,plain,
    ! [X0: hoare_363350478_state] : ( hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,X0),bot_bo39439654e_bool) = set_Ho1327198534_state(hAPP_H1942146718_state(some_H629028223_state,X0)) ),
    inference(cnf_transformation,[],[f563]) ).

tff(f4053,plain,
    ! [X0: fun_pname_option_com] : ( dom_pname_com(X0) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),X0)),none_com))) ),
    inference(cnf_transformation,[],[f1119]) ).

tff(f4316,plain,
    hBOOL(hoare_265376576gleton),
    inference(cnf_transformation,[],[f1352]) ).

tff(f4317,plain,
    hBOOL(wT_bodies),
    inference(cnf_transformation,[],[f1353]) ).

tff(f4321,plain,
    hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
    inference(cnf_transformation,[],[f1357]) ).

tff(f4323,plain,
    ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y)),bot_bo39439654e_bool))),
    inference(cnf_transformation,[],[f1372]) ).

tff(f4344,plain,
    ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),body)),none_com))))),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y)),bot_bo39439654e_bool))),
    inference(definition_unfolding,[],[f4323,f4053]) ).

tff(f4523,plain,
    ! [X0: fun_Ho320143120e_bool] : ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),bot_bo39439654e_bool)),
    inference(consistent_polarity_flipping,[],[f2326]) ).

tff(f4527,plain,
    ! [X2: fun_Ho320143120e_bool,X0: fun_Ho320143120e_bool,X1: fun_Ho320143120e_bool] :
      ( ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),X2))
      | hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),X1))
      | hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X1),X2)) ),
    inference(consistent_polarity_flipping,[],[f2330]) ).

tff(f4586,plain,
    ! [X0: com] :
      ( hBOOL(hoare_265376576gleton)
      | hBOOL(wT_bodies)
      | hBOOL(hAPP_com_bool(wt,X0))
      | ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,X0)),bot_bo39439654e_bool))) ),
    inference(consistent_polarity_flipping,[],[f2401]) ).

tff(f4837,plain,
    ! [X0: pname,X1: com] :
      ( hBOOL(wT_bodies)
      | ( hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1) )
      | ~ hBOOL(hAPP_com_bool(wt,X1)) ),
    inference(consistent_polarity_flipping,[],[f2743]) ).

tff(f6007,plain,
    ~ hBOOL(hoare_265376576gleton),
    inference(consistent_polarity_flipping,[],[f4316]) ).

tff(f6008,plain,
    ~ hBOOL(wT_bodies),
    inference(consistent_polarity_flipping,[],[f4317]) ).

tff(f6013,plain,
    hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),body)),none_com))))),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y)),bot_bo39439654e_bool))),
    inference(consistent_polarity_flipping,[],[f4344]) ).

tff(f6117,definition,
    ( spl272_23
  <=> hBOOL(hoare_265376576gleton) ),
    introduced(definition,[new_symbols(definition,[spl272_23])],[avatar_definition]) ).

tff(f6207,definition,
    ( spl272_43
  <=> ! [X0: pname,X1: com] :
        ( ( hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1) )
        | ~ hBOOL(hAPP_com_bool(wt,X1)) ) ),
    introduced(definition,[new_symbols(definition,[spl272_43])],[avatar_definition]) ).

tff(f6208,plain,
    ( ! [X0: pname,X1: com] :
        ( ~ hBOOL(hAPP_com_bool(wt,X1))
        | ( hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1) ) )
    | ~ spl272_43 ),
    inference(avatar_component_clause,[],[f6207]) ).

tff(f6210,definition,
    ( spl272_44
  <=> hBOOL(wT_bodies) ),
    introduced(definition,[new_symbols(definition,[spl272_44])],[avatar_definition]) ).

tff(f6213,plain,
    ( spl272_43
    | spl272_44 ),
    inference(avatar_split_clause,[],[f4837,f6210,f6207]) ).

tff(f6223,definition,
    ( spl272_47
  <=> ! [X0: com] :
        ( hBOOL(hAPP_com_bool(wt,X0))
        | ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,X0)),bot_bo39439654e_bool))) ) ),
    introduced(definition,[new_symbols(definition,[spl272_47])],[avatar_definition]) ).

tff(f6224,plain,
    ( ! [X0: com] :
        ( hBOOL(hAPP_com_bool(wt,X0))
        | ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,X0)),bot_bo39439654e_bool))) )
    | ~ spl272_47 ),
    inference(avatar_component_clause,[],[f6223]) ).

tff(f6225,plain,
    ( spl272_47
    | spl272_44
    | spl272_23 ),
    inference(avatar_split_clause,[],[f4586,f6117,f6210,f6223]) ).

tff(f6226,plain,
    ~ spl272_23,
    inference(avatar_split_clause,[],[f6007,f6117]) ).

tff(f6227,plain,
    ~ spl272_44,
    inference(avatar_split_clause,[],[f6008,f6210]) ).

tff(f7616,plain,
    ! [X0: hoare_363350478_state] : ( hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,X0),bot_bo39439654e_bool) = hAPP_H705653759e_bool(fequal1026769423_state,X0) ),
    inference(forward_demodulation,[],[f2740,f2662]) ).

tff(f7617,plain,
    ! [X0: hoare_363350478_state] : ( hAPP_H705653759e_bool(fequal1026769423_state,X0) = set_Ho1327198534_state(hAPP_H1942146718_state(some_H629028223_state,X0)) ),
    inference(superposition,[],[f7616,f3232]) ).

tff(f11099,plain,
    ! [X0: fun_Ho320143120e_bool] :
      ( hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),body)),none_com))))),X0))
      | hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y)),bot_bo39439654e_bool))) ),
    inference(resolution,[],[f4527,f6013]) ).

tff(f11119,plain,
    ! [X0: fun_Ho320143120e_bool] :
      ( hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),body)),none_com)))),X0))
      | hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y)),bot_bo39439654e_bool))) ),
    inference(forward_demodulation,[],[f11099,f2663]) ).

tff(f11121,plain,
    ! [X0: fun_Ho320143120e_bool] :
      ( hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),body)),none_com)))),X0))
      | hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),set_Ho1327198534_state(hAPP_H1942146718_state(some_H629028223_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y))))) ),
    inference(forward_demodulation,[],[f11119,f3232]) ).

tff(f11589,plain,
    ( ! [X0: com] :
        ( ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),set_Ho1327198534_state(hAPP_H1942146718_state(some_H629028223_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,X0)))))
        | hBOOL(hAPP_com_bool(wt,X0)) )
    | ~ spl272_47 ),
    inference(forward_demodulation,[],[f6224,f3232]) ).

tff(f62084,definition,
    ( spl272_304
  <=> hBOOL(hAPP_com_bool(wt,y)) ),
    introduced(definition,[new_symbols(definition,[spl272_304])],[avatar_definition]) ).

tff(f62085,plain,
    ( ~ hBOOL(hAPP_com_bool(wt,y))
    | spl272_304 ),
    inference(avatar_component_clause,[],[f62084]) ).

tff(f62086,plain,
    ( hBOOL(hAPP_com_bool(wt,y))
    | ~ spl272_304 ),
    inference(avatar_component_clause,[],[f62084]) ).

tff(f62441,plain,
    ( ! [X0: pname] : ( hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,y) )
    | ~ spl272_43
    | ~ spl272_304 ),
    inference(resolution,[],[f62086,f6208]) ).

tff(f71369,plain,
    ( $false
    | ~ spl272_43
    | ~ spl272_304 ),
    inference(backward_subsumption_resolution,[],[f4321,f62441]) ).

tff(f71370,plain,
    ( ~ spl272_43
    | ~ spl272_304 ),
    inference(avatar_contradiction_clause,[],[f71369]) ).

tff(f297106,definition,
    ( spl272_2350
  <=> hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_H705653759e_bool(fequal1026769423_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y)))) ),
    introduced(definition,[new_symbols(definition,[spl272_2350])],[avatar_definition]) ).

tff(f297108,plain,
    ( hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_H705653759e_bool(fequal1026769423_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y))))
    | ~ spl272_2350 ),
    inference(avatar_component_clause,[],[f297106]) ).

tff(f368439,plain,
    ( ! [X0: com] :
        ( ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_H705653759e_bool(fequal1026769423_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,X0))))
        | hBOOL(hAPP_com_bool(wt,X0)) )
    | ~ spl272_47 ),
    inference(forward_demodulation,[],[f11589,f7617]) ).

tff(f369360,plain,
    hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),set_Ho1327198534_state(hAPP_H1942146718_state(some_H629028223_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y))))),
    inference(resolution,[],[f4523,f11121]) ).

tff(f369419,plain,
    hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_H705653759e_bool(fequal1026769423_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y)))),
    inference(forward_demodulation,[],[f369360,f7617]) ).

tff(f369429,plain,
    spl272_2350,
    inference(avatar_split_clause,[],[f369419,f297106]) ).

tff(f466324,plain,
    ( hBOOL(hAPP_com_bool(wt,y))
    | ~ spl272_47
    | ~ spl272_2350 ),
    inference(resolution,[],[f297108,f368439]) ).

tff(f466413,plain,
    ( $false
    | ~ spl272_47
    | spl272_304
    | ~ spl272_2350 ),
    inference(forward_subsumption_resolution,[],[f466324,f62085]) ).

tff(f466414,plain,
    ( ~ spl272_47
    | spl272_304
    | ~ spl272_2350 ),
    inference(avatar_contradiction_clause,[],[f466413]) ).

cnf(s57,plain,
    ( spl272_43
    | spl272_44 ),
    inference(sat_conversion,[],[f6213]) ).

cnf(s60,plain,
    ( spl272_23
    | spl272_44
    | spl272_47 ),
    inference(sat_conversion,[],[f6225]) ).

cnf(s61,plain,
    ~ spl272_23,
    inference(sat_conversion,[],[f6226]) ).

cnf(s62,plain,
    ~ spl272_44,
    inference(sat_conversion,[],[f6227]) ).

cnf(s916,plain,
    ( ~ spl272_43
    | ~ spl272_304 ),
    inference(sat_conversion,[],[f71370]) ).

cnf(s27073,plain,
    spl272_2350,
    inference(sat_conversion,[],[f369429]) ).

cnf(s34543,plain,
    ( ~ spl272_47
    | spl272_304
    | ~ spl272_2350 ),
    inference(sat_conversion,[],[f466414]) ).

cnf(s34677,plain,
    spl272_47,
    inference(rat,[],[s60,s62,s61]) ).

cnf(s34678,plain,
    spl272_304,
    inference(rat,[],[s34543,s27073,s34677]) ).

cnf(s34679,plain,
    ~ spl272_43,
    inference(rat,[],[s916,s34678]) ).

cnf(s34682,plain,
    $false,
    inference(rat,[],[s57,s62,s34679]) ).

tff(f466445,plain,
    $false,
    inference(avatar_sat_refutation,[],[s34682]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW474_3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n018.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 14:09:40 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  Running first-order model finding
% 0.08/0.21  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.17/3.75  % (3403871)Will run a generic schedule for satisfiability detection.
% 24.17/3.75  % (3403918)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1811287744:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 24.17/3.75  % (3403914)% WARNING: option uhcvi not known.
% 24.17/3.75  % (3403912)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1744348732_2999 on theBenchmark for (2999ds/0Mi)
% 24.17/3.75  % (3403914)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=711717864:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 24.17/3.75  % (3403915)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1057237299:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 24.17/3.75  % (3403916)dis+10_1_sil=32000:sp=arity:random_seed=3907952114:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 24.17/3.75  % (3403919)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=310450871:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 24.17/3.75  % (3403917)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=956231258:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 24.17/3.75  % (3403918)Instruction limit reached! 
% 24.17/3.75  % (3403918)------------------------------
% 24.17/3.75  % (3403918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.17/3.75  % (3403918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.17/3.75  % (3403918)CaDiCaL version: 2.1.3
% 24.17/3.75  % (3403918)Termination reason: Instruction limit
% 24.17/3.75  % (3403918)Termination phase: Saturation
% 24.17/3.75  % (3403918)Time elapsed: 0.034 s
% 24.17/3.75  % (3403918)Peak memory usage: 15 MB
% 24.17/3.75  % (3403918)Instructions burned: 132 (million)
% 24.17/3.75  % (3403936)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=107982082:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 24.17/3.75  % (3403916)Instruction limit reached! 
% 24.17/3.75  % (3403916)------------------------------
% 24.17/3.75  % (3403916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.17/3.75  % (3403916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.17/3.75  % (3403916)CaDiCaL version: 2.1.3
% 24.17/3.75  % (3403916)Termination reason: Instruction limit
% 24.17/3.75  % (3403916)Termination phase: Property scanning
% 24.17/3.75  % (3403916)Time elapsed: 0.048 s
% 24.17/3.75  % (3403916)Peak memory usage: 14 MB
% 24.17/3.75  % (3403916)Instructions burned: 104 (million)
% 24.17/3.75  % (3403917)Instruction limit reached! 
% 24.17/3.75  % (3403917)------------------------------
% 24.17/3.75  % (3403917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.17/3.75  % (3403917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.17/3.75  % (3403917)CaDiCaL version: 2.1.3
% 24.17/3.75  % (3403917)Termination reason: Instruction limit
% 24.17/3.75  % (3403917)Termination phase: Blocked clause elimination
% 24.17/3.75  % (3403917)Time elapsed: 0.056 s
% 24.17/3.75  % (3403917)Peak memory usage: 14 MB
% 24.17/3.75  % (3403917)Instructions burned: 116 (million)
% 24.17/3.75  % (3403946)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3585467071:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 24.17/3.75  % (3403952)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=907187591:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 24.17/3.75  % (3403919)Instruction limit reached! 
% 24.17/3.75  % (3403919)------------------------------
% 24.17/3.75  % (3403919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.17/3.75  % (3403919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.17/3.75  % (3403919)CaDiCaL version: 2.1.3
% 24.17/3.75  % (3403919)Termination reason: Instruction limit
% 24.17/3.75  % (3403919)Termination phase: Saturation
% 24.17/3.75  % (3403919)Time elapsed: 0.080 s
% 24.17/3.75  % (3403919)Peak memory usage: 16 MB
% 24.17/3.75  % (3403919)Instructions burned: 159 (million)
% 24.17/3.75  % (3403958)ott-21_1_sil=16000:fs=off:random_seed=2344943139:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 24.17/3.75  % (3403946)Instruction limit reached! 
% 24.17/3.75  % (3403946)------------------------------
% 24.17/3.75  % (3403946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.17/3.75  % (3403946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.84/6.96  % (3403946)CaDiCaL version: 2.1.3
% 46.84/6.96  % (3403946)Termination reason: Instruction limit
% 46.84/6.96  % (3403946)Termination phase: Blocked clause elimination
% 46.84/6.96  % (3403946)Time elapsed: 0.061 s
% 46.84/6.96  % (3403946)Peak memory usage: 14 MB
% 46.84/6.96  % (3403946)Instructions burned: 133 (million)
% 46.84/6.96  % (3403988)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1229645925:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 46.84/6.96  % (3403958)Instruction limit reached! 
% 46.84/6.96  % (3403958)------------------------------
% 46.84/6.96  % (3403958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.84/6.96  % (3403958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.84/6.96  % (3403958)CaDiCaL version: 2.1.3
% 46.84/6.96  % (3403958)Termination reason: Instruction limit
% 46.84/6.96  % (3403958)Termination phase: Saturation
% 46.84/6.96  % (3403958)Time elapsed: 0.085 s
% 46.84/6.96  % (3403958)Peak memory usage: 15 MB
% 46.84/6.96  % (3403958)Instructions burned: 181 (million)
% 46.84/6.96  % (3403936)Instruction limit reached! 
% 46.84/6.96  % (3403936)------------------------------
% 46.84/6.96  % (3403936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.84/6.96  % (3403936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.84/6.96  % (3403936)CaDiCaL version: 2.1.3
% 46.84/6.96  % (3403936)Termination reason: Instruction limit
% 46.84/6.96  % (3403936)Termination phase: Finite model building preprocessing
% 46.84/6.96  % (3403936)Time elapsed: 0.160 s
% 46.84/6.96  % (3403936)Peak memory usage: 16 MB
% 46.84/6.96  % (3403936)Instructions burned: 718 (million)
% 46.84/6.96  % (3404001)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2853160821:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 46.84/6.96  % (3404002)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=561890619:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 46.84/6.96  % (3403988)Instruction limit reached! 
% 46.84/6.96  % (3403988)------------------------------
% 46.84/6.96  % (3403988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.84/6.96  % (3403988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.84/6.96  % (3403988)CaDiCaL version: 2.1.3
% 46.84/6.96  % (3403988)Termination reason: Instruction limit
% 46.84/6.96  % (3403988)Termination phase: Saturation
% 46.84/6.96  % (3403988)Time elapsed: 0.227 s
% 46.84/6.96  % (3403988)Peak memory usage: 17 MB
% 46.84/6.96  % (3403988)Instructions burned: 478 (million)
% 46.84/6.96  % (3404005)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2352996076:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 46.84/6.96  % (3403952)Instruction limit reached! 
% 46.84/6.96  % (3403952)------------------------------
% 46.84/6.96  % (3403952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.84/6.96  % (3403952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.84/6.96  % (3403952)CaDiCaL version: 2.1.3
% 46.84/6.96  % (3403952)Termination reason: Instruction limit
% 46.84/6.96  % (3403952)Termination phase: Saturation
% 46.84/6.96  % (3403952)Time elapsed: 0.363 s
% 46.84/6.96  % (3403952)Peak memory usage: 19 MB
% 46.84/6.96  % (3403952)Instructions burned: 685 (million)
% 46.84/6.96  % (3404007)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3931616425:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 46.84/6.96  % (3404002)Instruction limit reached! 
% 46.84/6.96  % (3404002)------------------------------
% 46.84/6.96  % (3404002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.84/6.96  % (3404002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.84/6.96  % (3404002)CaDiCaL version: 2.1.3
% 46.84/6.96  % (3404002)Termination reason: Instruction limit
% 46.84/6.96  % (3404002)Termination phase: Saturation
% 46.84/6.96  % (3404002)Time elapsed: 0.366 s
% 46.84/6.96  % (3404002)Peak memory usage: 27 MB
% 46.84/6.96  % (3404002)Instructions burned: 1182 (million)
% 46.84/6.96  % (3404009)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2784910461:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 46.84/6.96  % (3404001)Instruction limit reached! 
% 46.84/6.96  % (3404001)------------------------------
% 46.84/6.96  % (3404001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.84/6.96  % (3404001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.05/14.89  % (3404001)CaDiCaL version: 2.1.3
% 79.05/14.89  % (3404001)Termination reason: Instruction limit
% 79.05/14.89  % (3404001)Termination phase: Finite model building preprocessing
% 79.05/14.89  % (3404001)Time elapsed: 0.424 s
% 79.05/14.89  % (3404001)Peak memory usage: 27 MB
% 79.05/14.89  % (3404001)Instructions burned: 866 (million)
% 79.05/14.89  % (3404011)fmb+10_1_sil=64000:random_seed=2518771197:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 79.05/14.89  % (3404009)Instruction limit reached! 
% 79.05/14.89  % (3404009)------------------------------
% 79.05/14.89  % (3404009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.05/14.89  % (3404009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.05/14.89  % (3404009)CaDiCaL version: 2.1.3
% 79.05/14.89  % (3404009)Termination reason: Instruction limit
% 79.05/14.89  % (3404009)Termination phase: Saturation
% 79.05/14.89  % (3404009)Time elapsed: 0.230 s
% 79.05/14.89  % (3404009)Peak memory usage: 20 MB
% 79.05/14.89  % (3404009)Instructions burned: 881 (million)
% 79.05/14.89  % (3404013)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3886118772:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 79.05/14.89  % (3404005)Instruction limit reached! 
% 79.05/14.89  % (3404005)------------------------------
% 79.05/14.89  % (3404005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.05/14.89  % (3404005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.05/14.89  % (3404005)CaDiCaL version: 2.1.3
% 79.05/14.89  % (3404005)Termination reason: Instruction limit
% 79.05/14.89  % (3404005)Termination phase: Finite model building preprocessing
% 79.05/14.89  % (3404005)Time elapsed: 0.436 s
% 79.05/14.89  % (3404005)Peak memory usage: 27 MB
% 79.05/14.89  % (3404005)Instructions burned: 889 (million)
% 79.05/14.89  % (3404007)Instruction limit reached! 
% 79.05/14.89  % (3404007)------------------------------
% 79.05/14.89  % (3404007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.05/14.89  % (3404007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.05/14.89  % (3404007)CaDiCaL version: 2.1.3
% 79.05/14.89  % (3404007)Termination reason: Instruction limit
% 79.05/14.89  % (3404007)Termination phase: Saturation
% 79.05/14.89  % (3404007)Time elapsed: 0.391 s
% 79.05/14.89  % (3404007)Peak memory usage: 19 MB
% 79.05/14.89  % (3404007)Instructions burned: 694 (million)
% 79.05/14.89  % (3404015)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1547394187:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 79.05/14.89  % (3404016)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=735266398:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 79.05/14.89  % (3404015)Instruction limit reached! 
% 79.05/14.89  % (3404015)------------------------------
% 79.05/14.89  % (3404015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.05/14.89  % (3404015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.05/14.89  % (3404015)CaDiCaL version: 2.1.3
% 79.05/14.89  % (3404015)Termination reason: Instruction limit
% 79.05/14.89  % (3404015)Termination phase: Finite model building preprocessing
% 79.05/14.89  % (3404015)Time elapsed: 0.454 s
% 79.05/14.89  % (3404015)Peak memory usage: 27 MB
% 79.05/14.89  % (3404015)Instructions burned: 922 (million)
% 79.05/14.89  % (3404019)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1559205181:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 79.05/14.89  % (3404019)Instruction limit reached! 
% 79.05/14.89  % (3404019)------------------------------
% 79.05/14.89  % (3404019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.05/14.89  % (3404019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.05/14.89  % (3404019)CaDiCaL version: 2.1.3
% 79.05/14.89  % (3404019)Termination reason: Instruction limit
% 79.05/14.89  % (3404019)Termination phase: Saturation
% 79.05/14.89  % (3404019)Time elapsed: 0.765 s
% 79.05/14.89  % (3404019)Peak memory usage: 25 MB
% 79.05/14.89  % (3404019)Instructions burned: 1473 (million)
% 79.05/14.89  % (3404021)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=643940465:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 79.05/14.89  % (3404013)Instruction limit reached! 
% 79.05/14.89  % (3404013)------------------------------
% 79.05/14.89  % (3404013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.05/14.89  % (3404013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.05/14.89  % (3404013)CaDiCaL version: 2.1.3
% 79.05/14.89  % (3404013)Termination reason: Instruction limit
% 79.05/14.89  % (3404013)Termination phase: Finite model building preprocessing
% 79.05/14.89  % (3404013)Time elapsed: 2.578 s
% 79.05/14.89  % (3404013)Peak memory usage: 82 MB
% 79.05/14.89  % (3404013)Instructions burned: 9518 (million)
% 79.05/14.89  % (3404023)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1720592015:fmbsr=2.30978:i=2174_2964 on theBenchmark for (2964ds/2174Mi)
% 79.05/14.89  % (3404016)Instruction limit reached! 
% 79.05/14.89  % (3404016)------------------------------
% 79.05/14.89  % (3404016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.05/14.89  % (3404016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.05/14.89  % (3404016)CaDiCaL version: 2.1.3
% 79.05/14.89  % (3404016)Termination reason: Instruction limit
% 79.05/14.89  % (3404016)Termination phase: Saturation
% 79.05/14.89  % (3404016)Time elapsed: 2.777 s
% 79.05/14.89  % (3404016)Peak memory usage: 49 MB
% 79.05/14.89  % (3404016)Instructions burned: 5132 (million)
% 79.05/14.89  % (3404025)ott-2_1_sil=16000:newcnf=on:random_seed=3620411529:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2962 on theBenchmark for (2962ds/869Mi)
% 79.05/14.89  % (3404023)Instruction limit reached! 
% 79.05/14.89  % (3404023)------------------------------
% 79.05/14.89  % (3404023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.05/14.89  % (3404023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.05/14.89  % (3404023)CaDiCaL version: 2.1.3
% 79.05/14.89  % (3404023)Termination reason: Instruction limit
% 79.05/14.89  % (3404023)Termination phase: Finite model building preprocessing
% 79.05/14.89  % (3404023)Time elapsed: 0.558 s
% 79.05/14.89  % (3404023)Peak memory usage: 35 MB
% 79.05/14.89  % (3404023)Instructions burned: 2177 (million)
% 79.05/14.89  % (3404027)ott+10_1_sil=32000:tgt=ground:random_seed=919662400:i=5114:av=off_2958 on theBenchmark for (2958ds/5114Mi)
% 79.05/14.89  % (3404025)Instruction limit reached! 
% 79.05/14.89  % (3404025)------------------------------
% 79.05/14.89  % (3404025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.05/14.89  % (3404025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.05/14.89  % (3404025)CaDiCaL version: 2.1.3
% 79.05/14.89  % (3404025)Termination reason: Instruction limit
% 79.05/14.89  % (3404025)Termination phase: Saturation
% 79.05/14.89  % (3404025)Time elapsed: 0.473 s
% 79.05/14.89  % (3404025)Peak memory usage: 24 MB
% 79.05/14.89  % (3404025)Instructions burned: 869 (million)
% 79.05/14.89  % (3404029)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3559064262:i=54282_2957 on theBenchmark for (2957ds/54282Mi)
% 79.05/14.89  % (3404021)Instruction limit reached! 
% 79.05/14.89  % (3404021)------------------------------
% 79.05/14.89  % (3404021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.05/14.89  % (3404021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.05/14.89  % (3404021)CaDiCaL version: 2.1.3
% 79.05/14.89  % (3404021)Termination reason: Instruction limit
% 79.05/14.89  % (3404021)Termination phase: Finite model building preprocessing
% 79.05/14.89  % (3404021)Time elapsed: 2.928 s
% 79.05/14.89  % (3404021)Peak memory usage: 66 MB
% 79.05/14.89  % (3404021)Instructions burned: 6324 (million)
% 79.05/14.89  % (3404031)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3004172752:i=3512:aac=none_2948 on theBenchmark for (2948ds/3512Mi)
% 79.05/14.89  % (3404027)Instruction limit reached! 
% 79.05/14.89  % (3404027)------------------------------
% 79.05/14.89  % (3404027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.05/14.89  % (3404027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.05/14.89  % (3404027)CaDiCaL version: 2.1.3
% 79.05/14.89  % (3404027)Termination reason: Instruction limit
% 79.05/14.89  % (3404027)Termination phase: Saturation
% 79.05/14.89  % (3404027)Time elapsed: 1.446 s
% 79.05/14.89  % (3404027)Peak memory usage: 34 MB
% 79.05/14.89  % (3404027)Instructions burned: 5116 (million)
% 79.05/14.89  % (3404033)dis+21_1_sil=32000:sas=cadical:random_seed=2950410040:i=3773:amm=off_2944 on theBenchmark for (2944ds/3773Mi)
% 79.05/14.89  % (3404033)Instruction limit reached! 
% 79.05/14.89  % (3404033)------------------------------
% 79.05/14.89  % (3404033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.05/14.89  % (3404033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.05/14.89  % (3404033)CaDiCaL version: 2.1.3
% 79.05/14.89  % (3404033)Termination reason: Instruction limit
% 79.05/14.89  % (3404033)Termination phase: Saturation
% 79.05/14.89  % (3404033)Time elapsed: 1.151 s
% 79.05/14.89  % (3404033)Peak memory usage: 39 MB
% 79.05/14.89  % (3404033)Instructions burned: 3776 (million)
% 79.05/14.89  % (3404035)ott+11_1_sil=16000:gs=on:random_seed=2254730303:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2932 on theBenchmark for (2932ds/2251Mi)
% 79.05/14.89  % (3404031)Instruction limit reached! 
% 79.05/14.89  % (3404031)------------------------------
% 79.05/14.89  % (3404031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.05/14.89  % (3404031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.05/14.89  % (3404031)CaDiCaL version: 2.1.3
% 79.05/14.89  % (3404031)Termination reason: Instruction limit
% 79.05/14.89  % (3404031)Termination phase: Saturation
% 79.05/14.89  % (3404031)Time elapsed: 1.877 s
% 79.05/14.89  % (3404031)Peak memory usage: 37 MB
% 79.05/14.89  % (3404031)Instructions burned: 3513 (million)
% 79.05/14.89  % (3404037)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=26765462:fmbsr=1.6:i=67534_2929 on theBenchmark for (2929ds/67534Mi)
% 79.05/14.89  % (3404035)Instruction limit reached! 
% 79.05/14.89  % (3404035)------------------------------
% 79.05/14.89  % (3404035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.05/14.89  % (3404035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.05/14.89  % (3404035)CaDiCaL version: 2.1.3
% 79.05/14.89  % (3404035)Termination reason: Instruction limit
% 79.05/14.89  % (3404035)Termination phase: Saturation
% 79.05/14.89  % (3404035)Time elapsed: 0.715 s
% 79.05/14.89  % (3404035)Peak memory usage: 39 MB
% 79.05/14.89  % (3404035)Instructions burned: 2253 (million)
% 79.05/14.89  % (3404039)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=4103084889:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2925 on theBenchmark for (2925ds/4591Mi)
% 79.05/14.89  % (3404039)Instruction limit reached! 
% 79.05/14.89  % (3404039)------------------------------
% 79.05/14.89  % (3404039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.05/14.89  % (3404039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.05/14.89  % (3404039)CaDiCaL version: 2.1.3
% 79.05/14.89  % (3404039)Termination reason: Instruction limit
% 79.05/14.89  % (3404039)Termination phase: Saturation
% 79.05/14.89  % (3404039)Time elapsed: 1.526 s
% 79.05/14.89  % (3404039)Peak memory usage: 94 MB
% 79.05/14.89  % (3404039)Instructions burned: 4592 (million)
% 79.05/14.89  % (3404041)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=4012942405:i=29340_2909 on theBenchmark for (2909ds/29340Mi)
% 79.05/14.89  % (3404011)Instruction limit reached! 
% 79.05/14.89  % (3404011)------------------------------
% 79.05/14.89  % (3404011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.05/14.89  % (3404011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.05/14.89  % (3404011)CaDiCaL version: 2.1.3
% 79.05/14.89  % (3404011)Termination reason: Instruction limit
% 79.05/14.89  % (3404011)Termination phase: Finite model building preprocessing
% 79.05/14.89  % (3404011)Time elapsed: 10.032 s
% 79.05/14.89  % (3404011)Peak memory usage: 148 MB
% 79.05/14.89  % (3404011)Instructions burned: 22062 (million)
% 79.05/14.89  % (3404043)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3234493166:i=5211_2891 on theBenchmark for (2891ds/5211Mi)
% 79.05/14.89  % (3404043)Instruction limit reached! 
% 79.05/14.89  % (3404043)------------------------------
% 79.05/14.89  % (3404043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.05/14.89  % (3404043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.05/14.89  % (3404043)CaDiCaL version: 2.1.3
% 79.05/14.89  % (3404043)Termination reason: Instruction limit
% 79.05/14.89  % (3404043)Termination phase: Saturation
% 79.05/14.89  % (3404043)Time elapsed: 2.575 s
% 79.05/14.89  % (3404043)Peak memory usage: 42 MB
% 79.05/14.89  % (3404043)Instructions burned: 5212 (million)
% 79.05/14.89  % (3404045)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=2744742263:i=5497:nm=2_2865 on theBenchmark for (2865ds/5497Mi)
% 79.05/14.89  % TRYING [7]
% 79.05/14.89  % (3403914) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3403871-3403914"...
% 79.05/14.89  % (3403914)...printing done.
% 79.05/14.89  % (3403914)Refutation found. Thanks to Tanya!
% 79.05/14.89  % SZS status Theorem for theBenchmark
% 79.05/14.89  % SZS output start Proof for theBenchmark
% See solution above
% 79.05/14.89  % (3403914)------------------------------
% 79.05/14.89  % (3403914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.05/14.89  % (3403914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.05/14.89  % (3403914)CaDiCaL version: 2.1.3
% 79.05/14.89  % (3403914)Termination reason: Refutation
% 79.05/14.89  % (3403914)Time elapsed: 14.283 s
% 79.05/14.89  % (3403914)Peak memory usage: 148 MB
% 79.05/14.89  % (3403914)Instructions burned: 26093 (million)
% 79.05/14.89  % (3403871)Success in time 14.665 s
% 79.05/14.89  % Vampire exiting
%------------------------------------------------------------------------------