TSTP Solution File: SWW474_2 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWW474_2 : TPTP v8.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 18:52:49 EDT 2024

% Result   : Theorem 259.12s 37.43s
% Output   : Refutation 259.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  144 (  40 unt;   0 typ;   0 def)
%            Number of atoms       :  310 (  83 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  288 ( 122   ~; 119   |;   8   &)
%                                         (  12 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :  177 ( 176 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   39 (  37 usr;   8 prp; 0-4 aty)
%            Number of functors    :  522 ( 522 usr; 119 con; 0-6 aty)
%            Number of variables   :  172 ( 165   !;   7   ?; 170   :)

% 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_1875481847_state: $tType ).

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

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

tff(type_def_12,type,
    option1681283416_state: $tType ).

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

tff(type_def_14,type,
    fun_co2032091866_state: $tType ).

tff(type_def_15,type,
    fun_co1633267573l_bool: $tType ).

tff(type_def_16,type,
    fun_co2038576728m_bool: $tType ).

tff(type_def_17,type,
    fun_co879055186_state: $tType ).

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

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

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

tff(type_def_21,type,
    fun_pn664418900_state: $tType ).

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

tff(type_def_23,type,
    fun_pn92346699_state: $tType ).

tff(type_def_24,type,
    fun_pn1208287926_pname: $tType ).

tff(type_def_25,type,
    fun_pn800050071e_bool: $tType ).

tff(type_def_26,type,
    fun_pn12888928e_bool: $tType ).

tff(type_def_27,type,
    fun_pn250273176l_bool: $tType ).

tff(type_def_28,type,
    fun_pn760644914e_bool: $tType ).

tff(type_def_29,type,
    fun_pn1776597836_state: $tType ).

tff(type_def_30,type,
    fun_pn1243268074_state: $tType ).

tff(type_def_31,type,
    fun_pn1580610524on_com: $tType ).

tff(type_def_32,type,
    fun_pn1673019570on_com: $tType ).

tff(type_def_33,type,
    fun_pn422929397l_bool: $tType ).

tff(type_def_34,type,
    fun_pn479984722e_bool: $tType ).

tff(type_def_35,type,
    fun_pn1610849624_state: $tType ).

tff(type_def_36,type,
    fun_pn249986828l_bool: $tType ).

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

tff(type_def_38,type,
    fun_st1506752259e_bool: $tType ).

tff(type_def_39,type,
    fun_st858662806e_bool: $tType ).

tff(type_def_40,type,
    fun_st2116860965l_bool: $tType ).

tff(type_def_41,type,
    fun_st2063251938l_bool: $tType ).

tff(type_def_42,type,
    fun_st1483075957e_bool: $tType ).

tff(type_def_43,type,
    fun_st277393160e_bool: $tType ).

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

tff(type_def_45,type,
    fun_bo1936561970e_bool: $tType ).

tff(type_def_46,type,
    fun_bo898473669e_bool: $tType ).

tff(type_def_47,type,
    fun_bo1549164019l_bool: $tType ).

tff(type_def_48,type,
    fun_bo840793679_state: $tType ).

tff(type_def_49,type,
    fun_bo79750167on_com: $tType ).

tff(type_def_50,type,
    fun_Ho1653816318_pname: $tType ).

tff(type_def_51,type,
    fun_Ho1996104121e_bool: $tType ).

tff(type_def_52,type,
    fun_Ho1455141843_state: $tType ).

tff(type_def_53,type,
    fun_Ho14659478e_bool: $tType ).

tff(type_def_54,type,
    fun_Ho1896286681l_bool: $tType ).

tff(type_def_55,type,
    fun_Ho1695028467e_bool: $tType ).

tff(type_def_56,type,
    fun_Ho784854669_state: $tType ).

tff(type_def_57,type,
    fun_Ho760178998l_bool: $tType ).

tff(type_def_58,type,
    fun_Ho1085560331l_bool: $tType ).

tff(type_def_59,type,
    fun_Ho1110608055e_bool: $tType ).

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

tff(type_def_61,type,
    fun_op606842979on_com: $tType ).

tff(type_def_62,type,
    fun_op564655445on_com: $tType ).

tff(type_def_63,type,
    fun_fu1362071682l_bool: $tType ).

tff(type_def_64,type,
    fun_fu241528037m_bool: $tType ).

tff(type_def_65,type,
    fun_fu973320112_state: $tType ).

tff(type_def_66,type,
    fun_fu642263570_state: $tType ).

tff(type_def_67,type,
    fun_fu264874349e_bool: $tType ).

tff(type_def_68,type,
    fun_fu1499449723_pname: $tType ).

tff(type_def_69,type,
    fun_fu1430349052l_bool: $tType ).

tff(type_def_70,type,
    fun_fu1604182422_state: $tType ).

tff(type_def_71,type,
    fun_fu410713561e_bool: $tType ).

tff(type_def_72,type,
    fun_fu1286003254e_bool: $tType ).

tff(type_def_73,type,
    fun_fu152205775l_bool: $tType ).

tff(type_def_74,type,
    fun_fu2016078089_state: $tType ).

tff(type_def_75,type,
    fun_fu637830609on_com: $tType ).

tff(type_def_76,type,
    fun_fu31783638l_bool: $tType ).

tff(type_def_77,type,
    fun_fu1176632176e_bool: $tType ).

tff(type_def_78,type,
    fun_fu802393907l_bool: $tType ).

tff(type_def_79,type,
    fun_fu2101097872e_bool: $tType ).

tff(type_def_80,type,
    fun_fu514526030l_bool: $tType ).

tff(type_def_81,type,
    fun_fu931343505l_bool: $tType ).

tff(type_def_82,type,
    fun_fu1232732404l_bool: $tType ).

tff(type_def_83,type,
    fun_fu1904437005_state: $tType ).

tff(type_def_84,type,
    fun_fu557884239e_bool: $tType ).

tff(type_def_85,type,
    fun_fu1869380457_state: $tType ).

tff(type_def_86,type,
    fun_fu1742234008me_com: $tType ).

tff(type_def_87,type,
    fun_fu311741085on_com: $tType ).

tff(type_def_88,type,
    fun_fu544728625on_com: $tType ).

tff(type_def_89,type,
    fun_fu993978052_state: $tType ).

tff(type_def_90,type,
    fun_fu25451830e_bool: $tType ).

tff(type_def_91,type,
    fun_fu577621651e_bool: $tType ).

tff(type_def_92,type,
    fun_fu1779604751l_bool: $tType ).

tff(type_def_93,type,
    fun_fu2087509785_state: $tType ).

tff(type_def_94,type,
    fun_fu2096203996_state: $tType ).

tff(type_def_95,type,
    fun_fu1576495102e_bool: $tType ).

tff(type_def_96,type,
    fun_fu2056752087l_bool: $tType ).

tff(type_def_97,type,
    fun_fu1045989665e_bool: $tType ).

tff(type_def_98,type,
    fun_fu1646366334_state: $tType ).

tff(type_def_99,type,
    fun_fu1848601144_state: $tType ).

tff(type_def_100,type,
    fun_fu1908735358on_com: $tType ).

tff(type_def_101,type,
    fun_fu1867668424on_com: $tType ).

tff(type_def_102,type,
    fun_fu696558561e_bool: $tType ).

tff(type_def_103,type,
    fun_fu1018334113e_bool: $tType ).

tff(type_def_104,type,
    fun_fu1956604286_state: $tType ).

tff(type_def_105,type,
    fun_fu1543647229e_bool: $tType ).

tff(type_def_106,type,
    fun_fu93307442l_bool: $tType ).

tff(type_def_107,type,
    fun_fu373216837e_bool: $tType ).

tff(type_def_108,type,
    fun_fu1998731480e_bool: $tType ).

tff(type_def_109,type,
    fun_fu1658206819l_bool: $tType ).

tff(type_def_110,type,
    fun_fu827928799_state: $tType ).

tff(type_def_111,type,
    fun_fu404278912_state: $tType ).

tff(type_def_112,type,
    fun_fu2104550360e_bool: $tType ).

tff(type_def_113,type,
    fun_fu402792811e_bool: $tType ).

tff(type_def_114,type,
    fun_fu475229566e_bool: $tType ).

tff(type_def_115,type,
    fun_fu1982748883l_bool: $tType ).

tff(type_def_116,type,
    fun_fu1867913342e_bool: $tType ).

tff(type_def_117,type,
    fun_fu1454697805e_bool: $tType ).

tff(type_def_118,type,
    fun_fu1088452192e_bool: $tType ).

tff(type_def_119,type,
    fun_fu1219323149e_bool: $tType ).

tff(type_def_120,type,
    fun_fu1047394976e_bool: $tType ).

tff(type_def_121,type,
    fun_fu13754701e_bool: $tType ).

tff(type_def_122,type,
    fun_fu1436120077e_bool: $tType ).

tff(type_def_123,type,
    fun_fu2020320649e_bool: $tType ).

tff(type_def_124,type,
    fun_fu235184776_pname: $tType ).

tff(type_def_125,type,
    fun_fu689207471l_bool: $tType ).

tff(type_def_126,type,
    fun_fu385705929_state: $tType ).

tff(type_def_127,type,
    fun_fu1040518284e_bool: $tType ).

tff(type_def_128,type,
    fun_fu854396771l_bool: $tType ).

tff(type_def_129,type,
    fun_fu1296727421e_bool: $tType ).

tff(type_def_130,type,
    fun_fu811519275l_bool: $tType ).

tff(type_def_131,type,
    fun_fu775812037e_bool: $tType ).

tff(type_def_132,type,
    fun_fu1962076352l_bool: $tType ).

tff(type_def_133,type,
    fun_fu1173762305l_bool: $tType ).

tff(type_def_134,type,
    fun_fu947547457e_bool: $tType ).

tff(type_def_135,type,
    fun_fu2083718837l_bool: $tType ).

tff(type_def_136,type,
    fun_fu2107095047l_bool: $tType ).

tff(type_def_137,type,
    fun_fu1653236447e_bool: $tType ).

tff(type_def_138,type,
    fun_fu2091051353e_bool: $tType ).

tff(type_def_139,type,
    fun_fu1007240549l_bool: $tType ).

tff(type_def_140,type,
    fun_fu1856979029e_bool: $tType ).

tff(type_def_141,type,
    fun_fu572183031e_bool: $tType ).

tff(type_def_142,type,
    fun_fu302189515e_bool: $tType ).

tff(type_def_143,type,
    fun_fu601378633l_bool: $tType ).

tff(type_def_144,type,
    fun_fu1403260939e_bool: $tType ).

tff(type_def_145,type,
    fun_fu1067265135e_bool: $tType ).

tff(type_def_146,type,
    fun_fu349737825e_bool: $tType ).

tff(type_def_147,type,
    fun_fu265667599e_bool: $tType ).

tff(type_def_148,type,
    fun_fu399576434l_bool: $tType ).

tff(type_def_149,type,
    fun_fu608906319e_bool: $tType ).

tff(type_def_150,type,
    fun_fu1333785210e_bool: $tType ).

tff(type_def_151,type,
    fun_fu2087345469l_bool: $tType ).

tff(type_def_152,type,
    fun_fu1747008875l_bool: $tType ).

tff(type_def_153,type,
    fun_fu1911931399l_bool: $tType ).

tff(type_def_154,type,
    fun_fu1759027710l_bool: $tType ).

tff(type_def_155,type,
    fun_fu764251295e_bool: $tType ).

tff(type_def_156,type,
    fun_fu154623769l_bool: $tType ).

tff(type_def_157,type,
    fun_fu502368472l_bool: $tType ).

tff(type_def_158,type,
    fun_fu542338571l_bool: $tType ).

tff(type_def_159,type,
    fun_fu1901728075l_bool: $tType ).

tff(type_def_160,type,
    fun_fu445680937l_bool: $tType ).

tff(type_def_161,type,
    fun_fu372702637e_bool: $tType ).

tff(type_def_162,type,
    fun_fu237807729l_bool: $tType ).

tff(type_def_163,type,
    fun_fu2122198606e_bool: $tType ).

tff(type_def_164,type,
    fun_fu1163781179e_bool: $tType ).

tff(type_def_165,type,
    fun_fu663891139l_bool: $tType ).

tff(type_def_166,type,
    fun_fu2072024677l_bool: $tType ).

tff(type_def_167,type,
    fun_fu90736755l_bool: $tType ).

tff(type_def_168,type,
    fun_fu1415736773l_bool: $tType ).

tff(type_def_169,type,
    fun_fu1900462437e_bool: $tType ).

tff(type_def_170,type,
    fun_fu262057981l_bool: $tType ).

tff(type_def_171,type,
    fun_fu1370073565l_bool: $tType ).

tff(type_def_172,type,
    fun_fu1703951883l_bool: $tType ).

tff(type_def_173,type,
    fun_fu1923372391l_bool: $tType ).

tff(type_def_174,type,
    fun_fu1805752587l_bool: $tType ).

tff(type_def_175,type,
    fun_fu1438281908l_bool: $tType ).

tff(type_def_176,type,
    fun_fu1610316873l_bool: $tType ).

tff(type_def_177,type,
    fun_fu1787620979l_bool: $tType ).

tff(type_def_178,type,
    fun_fu1086366823l_bool: $tType ).

tff(type_def_179,type,
    fun_fu2056529149l_bool: $tType ).

tff(type_def_180,type,
    fun_fu544723403l_bool: $tType ).

tff(func_def_0,type,
    cOMBB_1364904209_pname: fun_co2032091866_state > fun_fu973320112_state ).

tff(func_def_1,type,
    cOMBB_542850580_pname: fun_pn800050071e_bool > fun_fu264874349e_bool ).

tff(func_def_2,type,
    cOMBB_315976743_state: fun_pn800050071e_bool > fun_fu2020320649e_bool ).

tff(func_def_3,type,
    cOMBB_598082538e_bool: fun_pn800050071e_bool > fun_fu265667599e_bool ).

tff(func_def_4,type,
    cOMBB_184405641e_bool: fun_pn800050071e_bool > fun_fu372702637e_bool ).

tff(func_def_5,type,
    cOMBB_647938656_pname: fun_bool_bool > fun_fu410713561e_bool ).

tff(func_def_6,type,
    cOMBB_160679318_state: fun_bool_bool > fun_fu373216837e_bool ).

tff(func_def_7,type,
    cOMBB_1424001755_state: fun_bool_bool > fun_fu1296727421e_bool ).

tff(func_def_8,type,
    cOMBB_307249310e_bool: fun_bool_bool > fun_fu2087345469l_bool ).

tff(func_def_9,type,
    cOMBB_469839573e_bool: fun_bool_bool > fun_fu663891139l_bool ).

tff(func_def_10,type,
    cOMBB_675860798_pname: fun_bo1549164019l_bool > fun_fu152205775l_bool ).

tff(func_def_11,type,
    cOMBB_188601460_state: fun_bo1549164019l_bool > fun_fu1658206819l_bool ).

tff(func_def_12,type,
    cOMBB_242064253_state: fun_bo1549164019l_bool > fun_fu811519275l_bool ).

tff(func_def_13,type,
    cOMBB_2095475776e_bool: fun_bo1549164019l_bool > fun_fu1747008875l_bool ).

tff(func_def_14,type,
    cOMBB_532710323e_bool: fun_bo1549164019l_bool > fun_fu2072024677l_bool ).

tff(func_def_15,type,
    cOMBB_1989814576_pname: fun_bo840793679_state > fun_fu2016078089_state ).

tff(func_def_16,type,
    cOMBB_1394247784_pname: fun_bo79750167on_com > fun_fu637830609on_com ).

tff(func_def_17,type,
    cOMBB_2037342654_pname: fun_Ho1695028467e_bool > fun_fu557884239e_bool ).

tff(func_def_18,type,
    cOMBB_1903241981_state: fun_Ho1695028467e_bool > fun_fu1653236447e_bool ).

tff(func_def_19,type,
    cOMBB_93797312e_bool: fun_Ho1695028467e_bool > fun_fu764251295e_bool ).

tff(func_def_20,type,
    cOMBB_1094554675e_bool: fun_Ho1695028467e_bool > fun_fu1900462437e_bool ).

tff(func_def_21,type,
    cOMBB_923936821_pname: fun_option_com_com > fun_fu1742234008me_com ).

tff(func_def_22,type,
    cOMBB_530759491_pname: fun_fu1430349052l_bool > fun_fu25451830e_bool ).

tff(func_def_23,type,
    cOMBB_408569982_pname: fun_fu802393907l_bool > fun_fu1779604751l_bool ).

tff(func_def_24,type,
    cOMBB_582022205_state: fun_fu802393907l_bool > fun_fu1007240549l_bool ).

tff(func_def_25,type,
    cOMBB_1911358915_state: fun_fu93307442l_bool > fun_fu2104550360e_bool ).

tff(func_def_26,type,
    cOMBB_1476898461_state: fun_fu1998731480e_bool > fun_fu475229566e_bool ).

tff(func_def_27,type,
    cOMBB_1759179140_state: fun_fu1658206819l_bool > fun_fu1982748883l_bool ).

tff(func_def_28,type,
    cOMBB_718493681_pname: fun_fu404278912_state > fun_fu2096203996_state ).

tff(func_def_29,type,
    cOMBB_1036740637_state: fun_fu2104550360e_bool > fun_fu1867913342e_bool ).

tff(func_def_30,type,
    cOMBB_1757942702_state: fun_fu1219323149e_bool > fun_fu1454697805e_bool ).

tff(func_def_31,type,
    cOMBB_20296667_state: fun_fu1047394976e_bool > fun_fu1088452192e_bool ).

tff(func_def_32,type,
    cOMBB_1380679615_state: fun_fu689207471l_bool > fun_fu572183031e_bool ).

tff(func_def_33,type,
    cOMBB_2094848682_pname: fun_fu1173762305l_bool > fun_fu2056752087l_bool ).

tff(func_def_34,type,
    cOMBB_2063006993_state: fun_fu1173762305l_bool > fun_fu601378633l_bool ).

tff(func_def_35,type,
    cOMBC_1149511130e_bool: fun_fu577621651e_bool ).

tff(func_def_36,type,
    cOMBC_951029257e_bool: fun_fu1045989665e_bool ).

tff(func_def_37,type,
    cOMBC_1058051404l_bool: fun_fu696558561e_bool ).

tff(func_def_38,type,
    cOMBC_1123258281e_bool: fun_fu1018334113e_bool ).

tff(func_def_39,type,
    cOMBC_1788166607l_bool: fun_fu1543647229e_bool ).

tff(func_def_40,type,
    cOMBC_2027030106e_bool: fun_fu402792811e_bool ).

tff(func_def_41,type,
    cOMBC_231445413l_bool: fun_fu1219323149e_bool ).

tff(func_def_42,type,
    cOMBC_471052088e_bool: fun_fu13754701e_bool ).

tff(func_def_43,type,
    cOMBC_952831051e_bool: fun_fu1436120077e_bool ).

tff(func_def_44,type,
    cOMBC_1259060397e_bool: fun_fu2091051353e_bool ).

tff(func_def_45,type,
    cOMBC_1972244470e_bool: fun_fu302189515e_bool ).

tff(func_def_46,type,
    cOMBC_2049654457l_bool: fun_fu1403260939e_bool ).

tff(func_def_47,type,
    cOMBC_1099403170l_bool: fun_fu1067265135e_bool ).

tff(func_def_48,type,
    cOMBC_483615668e_bool: fun_fu349737825e_bool ).

tff(func_def_49,type,
    cOMBC_1004116266e_bool: fun_fu154623769l_bool ).

tff(func_def_50,type,
    cOMBC_620146361e_bool: fun_fu542338571l_bool ).

tff(func_def_51,type,
    cOMBC_1284144636l_bool: fun_fu1901728075l_bool ).

tff(func_def_52,type,
    cOMBC_1988546018l_bool: fun_fu445680937l_bool ).

tff(func_def_53,type,
    cOMBC_217340069e_bool: fun_fu262057981l_bool ).

tff(func_def_54,type,
    cOMBC_685773310e_bool: fun_fu1703951883l_bool ).

tff(func_def_55,type,
    cOMBC_195806106l_bool: fun_fu1923372391l_bool ).

tff(func_def_56,type,
    cOMBC_1909905718l_bool: fun_fu1805752587l_bool ).

tff(func_def_57,type,
    cOMBC_7971162l_bool: fun_fu1787620979l_bool ).

tff(func_def_58,type,
    cOMBC_686159718l_bool: fun_fu544723403l_bool ).

tff(func_def_59,type,
    cOMBK_1595564845_state: pname > fun_Ho1653816318_pname ).

tff(func_def_60,type,
    cOMBK_bool_pname: bool > fun_pname_bool ).

tff(func_def_61,type,
    cOMBK_2086958736_state: bool > fun_Ho1996104121e_bool ).

tff(func_def_62,type,
    cOMBK_1857069011e_bool: bool > fun_fu1430349052l_bool ).

tff(func_def_63,type,
    cOMBK_1224513760e_bool: bool > fun_fu689207471l_bool ).

tff(func_def_64,type,
    cOMBK_1032401873_pname: hoare_1875481847_state > fun_pn664418900_state ).

tff(func_def_65,type,
    cOMBK_631994958_state: fun_state_bool > fun_st1506752259e_bool ).

tff(func_def_66,type,
    cOMBS_1674056844_state: fun_fu993978052_state ).

tff(func_def_67,type,
    cOMBS_568398431l_bool: fun_fu1576495102e_bool ).

tff(func_def_68,type,
    cOMBS_629630867_state: fun_fu1646366334_state ).

tff(func_def_69,type,
    cOMBS_602905655_state: fun_fu1848601144_state ).

tff(func_def_70,type,
    cOMBS_904531235on_com: fun_fu1908735358on_com ).

tff(func_def_71,type,
    cOMBS_1529518335on_com: fun_fu1867668424on_com ).

tff(func_def_72,type,
    cOMBS_475568287_state: fun_fu1956604286_state ).

tff(func_def_73,type,
    cOMBS_1378840469l_bool: fun_fu1047394976e_bool ).

tff(func_def_74,type,
    cOMBS_896408300l_bool: fun_fu1856979029e_bool ).

tff(func_def_75,type,
    cOMBS_350070575l_bool: fun_fu502368472l_bool ).

tff(func_def_76,type,
    cOMBS_1451994324l_bool: fun_fu1370073565l_bool ).

tff(func_def_77,type,
    wt: fun_com_bool ).

tff(func_def_78,type,
    wT_bodies: bool ).

tff(func_def_79,type,
    body: fun_pname_option_com ).

tff(func_def_80,type,
    body_1: fun_pname_com ).

tff(func_def_81,type,
    skip: com ).

tff(func_def_82,type,
    semi: ( com * com ) > com ).

tff(func_def_83,type,
    while: ( fun_state_bool * com ) > com ).

tff(func_def_84,type,
    finite_finite_pname: fun_fu1430349052l_bool ).

tff(func_def_85,type,
    finite1792194148_state: fun_fu689207471l_bool ).

tff(func_def_86,type,
    finite595471783e_bool: fun_fu399576434l_bool ).

tff(func_def_87,type,
    finite1559130124e_bool: fun_fu237807729l_bool ).

tff(func_def_88,type,
    finite786885583l_bool: fun_fu1438281908l_bool ).

tff(func_def_89,type,
    finite1234242204l_bool: fun_fu1086366823l_bool ).

tff(func_def_90,type,
    finite1282449217_pname: ( fun_pn1208287926_pname * fun_fu1499449723_pname ) > bool ).

tff(func_def_91,type,
    finite1782051386_state: ( fun_Ho784854669_state * fun_fu385705929_state ) > bool ).

tff(func_def_92,type,
    finite1626890877e_bool: ( fun_fu2101097872e_bool * fun_fu608906319e_bool ) > bool ).

tff(func_def_93,type,
    finite792754358e_bool: ( fun_fu947547457e_bool * fun_fu1163781179e_bool ) > bool ).

tff(func_def_94,type,
    finite89670078_pname: ( fun_pn1208287926_pname * fun_fu1499449723_pname ) > bool ).

tff(func_def_95,type,
    finite1514162941_state: ( fun_Ho784854669_state * fun_fu385705929_state ) > bool ).

tff(func_def_96,type,
    finite1268145088e_bool: ( fun_fu2101097872e_bool * fun_fu608906319e_bool ) > bool ).

tff(func_def_97,type,
    finite1619424307e_bool: ( fun_fu947547457e_bool * fun_fu1163781179e_bool ) > bool ).

tff(func_def_98,type,
    minus_1015773161e_bool: fun_fu2101097872e_bool ).

tff(func_def_99,type,
    minus_589155914e_bool: fun_fu947547457e_bool ).

tff(func_def_100,type,
    minus_1290075917l_bool: fun_fu1759027710l_bool ).

tff(func_def_101,type,
    minus_1959767774l_bool: fun_fu1415736773l_bool ).

tff(func_def_102,type,
    the_pname: fun_fu1499449723_pname ).

tff(func_def_103,type,
    the_Ho1017792262_state: fun_fu385705929_state ).

tff(func_def_104,type,
    hoare_Mirabelle_MGT: fun_co2032091866_state ).

tff(func_def_105,type,
    hoare_2131502867_state: fun_Ho1996104121e_bool > fun_fu689207471l_bool ).

tff(func_def_106,type,
    hoare_390430481_state: fun_Ho1996104121e_bool > fun_fu689207471l_bool ).

tff(func_def_107,type,
    hoare_1239590103gleton: bool ).

tff(func_def_108,type,
    hoare_13225861_state: fun_fu404278912_state ).

tff(func_def_109,type,
    if_Hoa1541320583_state: fun_bo840793679_state ).

tff(func_def_110,type,
    if_option_com: fun_bo79750167on_com ).

tff(func_def_111,type,
    semila1635148844e_bool: fun_fu2101097872e_bool ).

tff(func_def_112,type,
    semila657954503e_bool: fun_fu947547457e_bool ).

tff(func_def_113,type,
    semila1130628874l_bool: fun_fu1759027710l_bool ).

tff(func_def_114,type,
    semila1058800161l_bool: fun_fu1415736773l_bool ).

tff(func_def_115,type,
    semila1168014441p_bool: fun_bo1549164019l_bool ).

tff(func_def_116,type,
    semila278973382e_bool: fun_fu2101097872e_bool ).

tff(func_def_117,type,
    semila1107643821e_bool: fun_fu947547457e_bool ).

tff(func_def_118,type,
    semila1782091504l_bool: fun_fu1759027710l_bool ).

tff(func_def_119,type,
    semila1703230395l_bool: fun_fu1415736773l_bool ).

tff(func_def_120,type,
    dom_pname_com: fun_pname_option_com > fun_pname_bool ).

tff(func_def_121,type,
    evalc: com > fun_st1506752259e_bool ).

tff(func_def_122,type,
    some_com: com > option_com ).

tff(func_def_123,type,
    some_pname: pname > option_pname ).

tff(func_def_124,type,
    some_H2141159592_state: hoare_1875481847_state > option1681283416_state ).

tff(func_def_125,type,
    set_com: option_com > fun_com_bool ).

tff(func_def_126,type,
    set_pname: option_pname > fun_pname_bool ).

tff(func_def_127,type,
    set_Ho691846255_state: option1681283416_state > fun_Ho1996104121e_bool ).

tff(func_def_128,type,
    the_com: fun_option_com_com ).

tff(func_def_129,type,
    bot_bot_bool: bool ).

tff(func_def_130,type,
    bot_bot_fun_com_bool: fun_com_bool ).

tff(func_def_131,type,
    bot_bo844097828e_bool: fun_pname_bool ).

tff(func_def_132,type,
    bot_bo1715400655e_bool: fun_Ho1996104121e_bool ).

tff(func_def_133,type,
    bot_bo1649642514l_bool: fun_fu1430349052l_bool ).

tff(func_def_134,type,
    bot_bo973479705l_bool: fun_fu689207471l_bool ).

tff(func_def_135,type,
    ord_less_eq_bool: fun_bo1549164019l_bool ).

tff(func_def_136,type,
    ord_le313189616e_bool: fun_fu802393907l_bool ).

tff(func_def_137,type,
    ord_le233469699e_bool: fun_fu1173762305l_bool ).

tff(func_def_138,type,
    ord_le675606854l_bool: fun_fu1911931399l_bool ).

tff(func_def_139,type,
    ord_le724727525l_bool: fun_fu90736755l_bool ).

tff(func_def_140,type,
    collect_pname: fun_fu410713561e_bool ).

tff(func_def_141,type,
    collec1735317154_state: fun_fu1296727421e_bool ).

tff(func_def_142,type,
    collec1974731493e_bool: fun_fu2087345469l_bool ).

tff(func_def_143,type,
    collec771609166e_bool: fun_fu663891139l_bool ).

tff(func_def_144,type,
    collec1613912337l_bool: fun_fu1610316873l_bool ).

tff(func_def_145,type,
    collec925828570l_bool: fun_fu2056529149l_bool ).

tff(func_def_146,type,
    image_pname_pname: fun_pname_pname > fun_fu410713561e_bool ).

tff(func_def_147,type,
    image_1283223414_state: fun_pn664418900_state > fun_fu1176632176e_bool ).

tff(func_def_148,type,
    image_47868345e_bool: fun_pn800050071e_bool > fun_fu802393907l_bool ).

tff(func_def_149,type,
    image_1165561978e_bool: fun_pn760644914e_bool > fun_fu514526030l_bool ).

tff(func_def_150,type,
    image_720060442_pname: fun_Ho1653816318_pname > fun_fu1040518284e_bool ).

tff(func_def_151,type,
    image_436941729_state: fun_Ho1455141843_state > fun_fu1296727421e_bool ).

tff(func_def_152,type,
    image_412748388e_bool: fun_Ho14659478e_bool > fun_fu1962076352l_bool ).

tff(func_def_153,type,
    image_896278159e_bool: fun_Ho1695028467e_bool > fun_fu1173762305l_bool ).

tff(func_def_154,type,
    image_1283814551_pname: fun_fu1499449723_pname > fun_fu608906319e_bool ).

tff(func_def_155,type,
    image_1943894628_state: fun_fu1604182422_state > fun_fu1333785210e_bool ).

tff(func_def_156,type,
    image_2063528359e_bool: fun_fu410713561e_bool > fun_fu2087345469l_bool ).

tff(func_def_157,type,
    image_1169820240_pname: fun_fu235184776_pname > fun_fu2122198606e_bool ).

tff(func_def_158,type,
    image_1669234411_state: fun_fu385705929_state > fun_fu1163781179e_bool ).

tff(func_def_159,type,
    image_1852024517e_bool: fun_fu1296727421e_bool > fun_fu663891139l_bool ).

tff(func_def_160,type,
    insert_com: fun_co2038576728m_bool ).

tff(func_def_161,type,
    insert_pname: fun_pn479984722e_bool ).

tff(func_def_162,type,
    insert694999549_state: fun_Ho1110608055e_bool ).

tff(func_def_163,type,
    insert1325755072e_bool: fun_fu1232732404l_bool ).

tff(func_def_164,type,
    insert504309043e_bool: fun_fu2107095047l_bool ).

tff(func_def_165,type,
    the_elem_pname: fun_fu1499449723_pname ).

tff(func_def_166,type,
    the_el1031305112_state: fun_fu385705929_state ).

tff(func_def_167,type,
    fAll_state: fun_fu93307442l_bool ).

tff(func_def_168,type,
    fFalse: bool ).

tff(func_def_169,type,
    fNot: fun_bool_bool ).

tff(func_def_170,type,
    fTrue: bool ).

tff(func_def_171,type,
    fconj: fun_bo1549164019l_bool ).

tff(func_def_172,type,
    fdisj: fun_bo1549164019l_bool ).

tff(func_def_173,type,
    fequal_pname: fun_pn800050071e_bool ).

tff(func_def_174,type,
    fequal_state: fun_st1506752259e_bool ).

tff(func_def_175,type,
    fequal391417144_state: fun_Ho1695028467e_bool ).

tff(func_def_176,type,
    fequal533582459e_bool: fun_fu802393907l_bool ).

tff(func_def_177,type,
    fequal259518520e_bool: fun_fu1173762305l_bool ).

tff(func_def_178,type,
    fimplies: fun_bo1549164019l_bool ).

tff(func_def_179,type,
    hAPP_com_bool: ( fun_com_bool * com ) > bool ).

tff(func_def_180,type,
    hAPP_c406083500_state: ( fun_co2032091866_state * com ) > hoare_1875481847_state ).

tff(func_def_181,type,
    hAPP_c667411853l_bool: ( fun_co1633267573l_bool * com ) > fun_fu1362071682l_bool ).

tff(func_def_182,type,
    hAPP_c566651504m_bool: ( fun_co2038576728m_bool * com ) > fun_fu241528037m_bool ).

tff(func_def_183,type,
    hAPP_c681126378_state: ( fun_co879055186_state * com ) > fun_fu827928799_state ).

tff(func_def_184,type,
    hAPP_pname_com: ( fun_pname_com * pname ) > com ).

tff(func_def_185,type,
    hAPP_pname_pname: ( fun_pname_pname * pname ) > pname ).

tff(func_def_186,type,
    hAPP_pname_bool: ( fun_pname_bool * pname ) > bool ).

tff(func_def_187,type,
    hAPP_p702226982_state: ( fun_pn664418900_state * pname ) > hoare_1875481847_state ).

tff(func_def_188,type,
    hAPP_p799580910on_com: ( fun_pname_option_com * pname ) > option_com ).

tff(func_def_189,type,
    hAPP_p2012996835_state: ( fun_pn92346699_state * pname ) > fun_co879055186_state ).

tff(func_def_190,type,
    hAPP_p1170154830_pname: ( fun_pn1208287926_pname * pname ) > fun_pname_pname ).

tff(func_def_191,type,
    hAPP_p61793385e_bool: ( fun_pn800050071e_bool * pname ) > fun_pname_bool ).

tff(func_def_192,type,
    hAPP_p1637813682e_bool: ( fun_pn12888928e_bool * pname ) > fun_st1506752259e_bool ).

tff(func_def_193,type,
    hAPP_p393069232l_bool: ( fun_pn250273176l_bool * pname ) > fun_bool_bool ).

tff(func_def_194,type,
    hAPP_p1537966538e_bool: ( fun_pn760644914e_bool * pname ) > fun_Ho1996104121e_bool ).

tff(func_def_195,type,
    hAPP_p1279250276_state: ( fun_pn1776597836_state * pname ) > fun_Ho1455141843_state ).

tff(func_def_196,type,
    hAPP_p1513527868_state: ( fun_pn1243268074_state * pname ) > fun_Ho784854669_state ).

tff(func_def_197,type,
    hAPP_p1086945780on_com: ( fun_pn1580610524on_com * pname ) > fun_op606842979on_com ).

tff(func_def_198,type,
    hAPP_p1164893188on_com: ( fun_pn1673019570on_com * pname ) > fun_op564655445on_com ).

tff(func_def_199,type,
    hAPP_p338031245l_bool: ( fun_pn422929397l_bool * pname ) > fun_fu1430349052l_bool ).

tff(func_def_200,type,
    hAPP_p905327722e_bool: ( fun_pn479984722e_bool * pname ) > fun_fu410713561e_bool ).

tff(func_def_201,type,
    hAPP_p1985340144_state: ( fun_pn1610849624_state * pname ) > fun_fu827928799_state ).

tff(func_def_202,type,
    hAPP_p1265998686l_bool: ( fun_pn249986828l_bool * pname ) > fun_fu689207471l_bool ).

tff(func_def_203,type,
    hAPP_state_bool: ( fun_state_bool * state ) > bool ).

tff(func_def_204,type,
    hAPP_s1806633685e_bool: ( fun_st1506752259e_bool * state ) > fun_state_bool ).

tff(func_def_205,type,
    hAPP_s336103912e_bool: ( fun_st858662806e_bool * state ) > fun_st1506752259e_bool ).

tff(func_def_206,type,
    hAPP_s2001034685l_bool: ( fun_st2116860965l_bool * state ) > fun_st2063251938l_bool ).

tff(func_def_207,type,
    hAPP_s58564346l_bool: ( fun_st2063251938l_bool * state ) > fun_bool_bool ).

tff(func_def_208,type,
    hAPP_s1874344717e_bool: ( fun_st1483075957e_bool * state ) > fun_bo1936561970e_bool ).

tff(func_def_209,type,
    hAPP_s1226857760e_bool: ( fun_st277393160e_bool * state ) > fun_fu373216837e_bool ).

tff(func_def_210,type,
    hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_211,type,
    hAPP_b2019457360e_bool: ( fun_bo1936561970e_bool * bool ) > fun_state_bool ).

tff(func_def_212,type,
    hAPP_b1095269219e_bool: ( fun_bo898473669e_bool * bool ) > fun_st1506752259e_bool ).

tff(func_def_213,type,
    hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).

tff(func_def_214,type,
    hAPP_b1347637997_state: ( fun_bo840793679_state * bool ) > fun_Ho784854669_state ).

tff(func_def_215,type,
    hAPP_b1679505845on_com: ( fun_bo79750167on_com * bool ) > fun_op564655445on_com ).

tff(func_def_216,type,
    hAPP_H139064010_pname: ( fun_Ho1653816318_pname * hoare_1875481847_state ) > pname ).

tff(func_def_217,type,
    hAPP_H1173941847e_bool: ( fun_Ho1996104121e_bool * hoare_1875481847_state ) > bool ).

tff(func_def_218,type,
    hAPP_H350317809_state: ( fun_Ho1455141843_state * hoare_1875481847_state ) > hoare_1875481847_state ).

tff(func_def_219,type,
    hAPP_H785152948e_bool: ( fun_Ho14659478e_bool * hoare_1875481847_state ) > fun_pname_bool ).

tff(func_def_220,type,
    hAPP_H377399461l_bool: ( fun_Ho1896286681l_bool * hoare_1875481847_state ) > fun_bool_bool ).

tff(func_def_221,type,
    hAPP_H117293375e_bool: ( fun_Ho1695028467e_bool * hoare_1875481847_state ) > fun_Ho1996104121e_bool ).

tff(func_def_222,type,
    hAPP_H743221337_state: ( fun_Ho784854669_state * hoare_1875481847_state ) > fun_Ho1455141843_state ).

tff(func_def_223,type,
    hAPP_H434980226l_bool: ( fun_Ho760178998l_bool * hoare_1875481847_state ) > fun_fu1430349052l_bool ).

tff(func_def_224,type,
    hAPP_H810811817l_bool: ( fun_Ho1085560331l_bool * hoare_1875481847_state ) > fun_fu689207471l_bool ).

tff(func_def_225,type,
    hAPP_H1625489667e_bool: ( fun_Ho1110608055e_bool * hoare_1875481847_state ) > fun_fu1296727421e_bool ).

tff(func_def_226,type,
    hAPP_option_com_com: ( fun_option_com_com * option_com ) > com ).

tff(func_def_227,type,
    hAPP_o356497025on_com: ( fun_op606842979on_com * option_com ) > option_com ).

tff(func_def_228,type,
    hAPP_o334540577on_com: ( fun_op564655445on_com * option_com ) > fun_op606842979on_com ).

tff(func_def_229,type,
    hAPP_f990396704l_bool: ( fun_fu1362071682l_bool * fun_com_bool ) > bool ).

tff(func_def_230,type,
    hAPP_f1682609283m_bool: ( fun_fu241528037m_bool * fun_com_bool ) > fun_com_bool ).

tff(func_def_231,type,
    hAPP_f2031411714_state: ( fun_fu973320112_state * fun_pname_com ) > fun_pn664418900_state ).

tff(func_def_232,type,
    hAPP_f2116202538_state: ( fun_fu642263570_state * fun_pname_com ) > fun_pn1610849624_state ).

tff(func_def_233,type,
    hAPP_f1336811455e_bool: ( fun_fu264874349e_bool * fun_pname_pname ) > fun_pn800050071e_bool ).

tff(func_def_234,type,
    hAPP_f1297739591_pname: ( fun_fu1499449723_pname * fun_pname_bool ) > pname ).

tff(func_def_235,type,
    hAPP_f1664156314l_bool: ( fun_fu1430349052l_bool * fun_pname_bool ) > bool ).

tff(func_def_236,type,
    hAPP_f168815540_state: ( fun_fu1604182422_state * fun_pname_bool ) > hoare_1875481847_state ).

tff(func_def_237,type,
    hAPP_f759274231e_bool: ( fun_fu410713561e_bool * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_238,type,
    hAPP_f180827860e_bool: ( fun_fu1286003254e_bool * fun_pname_bool ) > fun_pn800050071e_bool ).

tff(func_def_239,type,
    hAPP_f1402196763l_bool: ( fun_fu152205775l_bool * fun_pname_bool ) > fun_pn250273176l_bool ).

tff(func_def_240,type,
    hAPP_f980169511_state: ( fun_fu2016078089_state * fun_pname_bool ) > fun_pn1243268074_state ).

tff(func_def_241,type,
    hAPP_f755519727on_com: ( fun_fu637830609on_com * fun_pname_bool ) > fun_pn1673019570on_com ).

tff(func_def_242,type,
    hAPP_f1476298914l_bool: ( fun_fu31783638l_bool * fun_pname_bool ) > fun_bool_bool ).

tff(func_def_243,type,
    hAPP_f1291720380e_bool: ( fun_fu1176632176e_bool * fun_pname_bool ) > fun_Ho1996104121e_bool ).

tff(func_def_244,type,
    hAPP_f434788991l_bool: ( fun_fu802393907l_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).

tff(func_def_245,type,
    hAPP_f1388330588e_bool: ( fun_fu2101097872e_bool * fun_pname_bool ) > fun_fu410713561e_bool ).

tff(func_def_246,type,
    hAPP_f1522632684l_bool: ( fun_fu514526030l_bool * fun_pname_bool ) > fun_fu689207471l_bool ).

tff(func_def_247,type,
    hAPP_f556039215l_bool: ( fun_fu931343505l_bool * fun_pname_bool ) > fun_fu399576434l_bool ).

tff(func_def_248,type,
    hAPP_f1320879424l_bool: ( fun_fu1232732404l_bool * fun_pname_bool ) > fun_fu2087345469l_bool ).

tff(func_def_249,type,
    hAPP_f1981552043_state: ( fun_fu1904437005_state * fun_pn664418900_state ) > fun_pn664418900_state ).

tff(func_def_250,type,
    hAPP_f1601283355e_bool: ( fun_fu557884239e_bool * fun_pn664418900_state ) > fun_pn760644914e_bool ).

tff(func_def_251,type,
    hAPP_f1087244981_state: ( fun_fu1869380457_state * fun_pn664418900_state ) > fun_pn1776597836_state ).

tff(func_def_252,type,
    hAPP_f96342628me_com: ( fun_fu1742234008me_com * fun_pname_option_com ) > fun_pname_com ).

tff(func_def_253,type,
    hAPP_f2123220539on_com: ( fun_fu311741085on_com * fun_pname_option_com ) > fun_pname_option_com ).

tff(func_def_254,type,
    hAPP_f648377725on_com: ( fun_fu544728625on_com * fun_pname_option_com ) > fun_pn1580610524on_com ).

tff(func_def_255,type,
    hAPP_f1339343196_state: ( fun_fu993978052_state * fun_pn92346699_state ) > fun_fu642263570_state ).

tff(func_def_256,type,
    hAPP_f42430548e_bool: ( fun_fu25451830e_bool * fun_pn800050071e_bool ) > fun_pname_bool ).

tff(func_def_257,type,
    hAPP_f22061361e_bool: ( fun_fu577621651e_bool * fun_pn800050071e_bool ) > fun_pn800050071e_bool ).

tff(func_def_258,type,
    hAPP_f567934427l_bool: ( fun_fu1779604751l_bool * fun_pn800050071e_bool ) > fun_pn422929397l_bool ).

tff(func_def_259,type,
    hAPP_f1568887991_state: ( fun_fu2087509785_state * fun_pn12888928e_bool ) > fun_pn664418900_state ).

tff(func_def_260,type,
    hAPP_f275933352_state: ( fun_fu2096203996_state * fun_pn12888928e_bool ) > fun_pn92346699_state ).

tff(func_def_261,type,
    hAPP_f649174806e_bool: ( fun_fu1576495102e_bool * fun_pn250273176l_bool ) > fun_fu410713561e_bool ).

tff(func_def_262,type,
    hAPP_f98146217l_bool: ( fun_fu2056752087l_bool * fun_pn760644914e_bool ) > fun_pn249986828l_bool ).

tff(func_def_263,type,
    hAPP_f1564627769e_bool: ( fun_fu1045989665e_bool * fun_pn760644914e_bool ) > fun_Ho14659478e_bool ).

tff(func_def_264,type,
    hAPP_f1875279510_state: ( fun_fu1646366334_state * fun_pn1776597836_state ) > fun_fu1904437005_state ).

tff(func_def_265,type,
    hAPP_f294490838_state: ( fun_fu1848601144_state * fun_pn1243268074_state ) > fun_fu1869380457_state ).

tff(func_def_266,type,
    hAPP_f1673966486on_com: ( fun_fu1908735358on_com * fun_pn1580610524on_com ) > fun_fu311741085on_com ).

tff(func_def_267,type,
    hAPP_f2093196134on_com: ( fun_fu1867668424on_com * fun_pn1673019570on_com ) > fun_fu544728625on_com ).

tff(func_def_268,type,
    hAPP_f661147897e_bool: ( fun_fu696558561e_bool * fun_pn422929397l_bool ) > fun_fu410713561e_bool ).

tff(func_def_269,type,
    hAPP_f698292281e_bool: ( fun_fu1018334113e_bool * fun_pn479984722e_bool ) > fun_fu1286003254e_bool ).

tff(func_def_270,type,
    hAPP_f891245078_state: ( fun_fu1956604286_state * fun_pn1610849624_state ) > fun_fu2087509785_state ).

tff(func_def_271,type,
    hAPP_f1967984667e_bool: ( fun_fu1543647229e_bool * fun_pn249986828l_bool ) > fun_fu1040518284e_bool ).

tff(func_def_272,type,
    hAPP_f327114704l_bool: ( fun_fu93307442l_bool * fun_state_bool ) > bool ).

tff(func_def_273,type,
    hAPP_f1759915619e_bool: ( fun_fu373216837e_bool * fun_state_bool ) > fun_state_bool ).

tff(func_def_274,type,
    hAPP_f1863945078e_bool: ( fun_fu1998731480e_bool * fun_state_bool ) > fun_st1506752259e_bool ).

tff(func_def_275,type,
    hAPP_f1259673775l_bool: ( fun_fu1658206819l_bool * fun_state_bool ) > fun_st2063251938l_bool ).

tff(func_def_276,type,
    hAPP_f1595846909_state: ( fun_fu827928799_state * fun_st1506752259e_bool ) > hoare_1875481847_state ).

tff(func_def_277,type,
    hAPP_f1930074316_state: ( fun_fu404278912_state * fun_st1506752259e_bool ) > fun_co879055186_state ).

tff(func_def_278,type,
    hAPP_f1012183542e_bool: ( fun_fu2104550360e_bool * fun_st1506752259e_bool ) > fun_state_bool ).

tff(func_def_279,type,
    hAPP_f817621513e_bool: ( fun_fu402792811e_bool * fun_st1506752259e_bool ) > fun_st1506752259e_bool ).

tff(func_def_280,type,
    hAPP_f249262236e_bool: ( fun_fu475229566e_bool * fun_st1506752259e_bool ) > fun_st858662806e_bool ).

tff(func_def_281,type,
    hAPP_f1283379615l_bool: ( fun_fu1982748883l_bool * fun_st1506752259e_bool ) > fun_st2116860965l_bool ).

tff(func_def_282,type,
    hAPP_f1935169308e_bool: ( fun_fu1867913342e_bool * fun_st858662806e_bool ) > fun_st1506752259e_bool ).

tff(func_def_283,type,
    hAPP_f873506917e_bool: ( fun_fu1454697805e_bool * fun_st2116860965l_bool ) > fun_st1483075957e_bool ).

tff(func_def_284,type,
    hAPP_f1138284024e_bool: ( fun_fu1088452192e_bool * fun_st2116860965l_bool ) > fun_st277393160e_bool ).

tff(func_def_285,type,
    hAPP_f167292325e_bool: ( fun_fu1219323149e_bool * fun_st2063251938l_bool ) > fun_bo1936561970e_bool ).

tff(func_def_286,type,
    hAPP_f644196280e_bool: ( fun_fu1047394976e_bool * fun_st2063251938l_bool ) > fun_fu373216837e_bool ).

tff(func_def_287,type,
    hAPP_f701449317e_bool: ( fun_fu13754701e_bool * fun_st1483075957e_bool ) > fun_bo898473669e_bool ).

tff(func_def_288,type,
    hAPP_f915354021e_bool: ( fun_fu1436120077e_bool * fun_st277393160e_bool ) > fun_fu1998731480e_bool ).

tff(func_def_289,type,
    hAPP_f190028117e_bool: ( fun_fu2020320649e_bool * fun_Ho1653816318_pname ) > fun_Ho14659478e_bool ).

tff(func_def_290,type,
    hAPP_f1542224800_pname: ( fun_fu235184776_pname * fun_Ho1996104121e_bool ) > pname ).

tff(func_def_291,type,
    hAPP_f1408815105l_bool: ( fun_fu689207471l_bool * fun_Ho1996104121e_bool ) > bool ).

tff(func_def_292,type,
    hAPP_f890249627_state: ( fun_fu385705929_state * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_293,type,
    hAPP_f1148778334e_bool: ( fun_fu1040518284e_bool * fun_Ho1996104121e_bool ) > fun_pname_bool ).

tff(func_def_294,type,
    hAPP_f78029435l_bool: ( fun_fu854396771l_bool * fun_Ho1996104121e_bool ) > fun_bool_bool ).

tff(func_def_295,type,
    hAPP_f121055253e_bool: ( fun_fu1296727421e_bool * fun_Ho1996104121e_bool ) > fun_Ho1996104121e_bool ).

tff(func_def_296,type,
    hAPP_f932622461l_bool: ( fun_fu811519275l_bool * fun_Ho1996104121e_bool ) > fun_Ho1896286681l_bool ).

tff(func_def_297,type,
    hAPP_f56162711e_bool: ( fun_fu775812037e_bool * fun_Ho1996104121e_bool ) > fun_Ho1695028467e_bool ).

tff(func_def_298,type,
    hAPP_f1628972376l_bool: ( fun_fu1962076352l_bool * fun_Ho1996104121e_bool ) > fun_fu1430349052l_bool ).

tff(func_def_299,type,
    hAPP_f1873026899l_bool: ( fun_fu1173762305l_bool * fun_Ho1996104121e_bool ) > fun_fu689207471l_bool ).

tff(func_def_300,type,
    hAPP_f1204759513e_bool: ( fun_fu947547457e_bool * fun_Ho1996104121e_bool ) > fun_fu1296727421e_bool ).

tff(func_def_301,type,
    hAPP_f640685261l_bool: ( fun_fu2083718837l_bool * fun_Ho1996104121e_bool ) > fun_fu237807729l_bool ).

tff(func_def_302,type,
    hAPP_f872497439l_bool: ( fun_fu2107095047l_bool * fun_Ho1996104121e_bool ) > fun_fu663891139l_bool ).

tff(func_def_303,type,
    hAPP_f474907569e_bool: ( fun_fu1653236447e_bool * fun_Ho1455141843_state ) > fun_Ho1695028467e_bool ).

tff(func_def_304,type,
    hAPP_f1188413809e_bool: ( fun_fu2091051353e_bool * fun_Ho14659478e_bool ) > fun_pn760644914e_bool ).

tff(func_def_305,type,
    hAPP_f745653815l_bool: ( fun_fu1007240549l_bool * fun_Ho14659478e_bool ) > fun_Ho760178998l_bool ).

tff(func_def_306,type,
    hAPP_f1300953505e_bool: ( fun_fu1856979029e_bool * fun_Ho1896286681l_bool ) > fun_fu1296727421e_bool ).

tff(func_def_307,type,
    hAPP_f169892419e_bool: ( fun_fu572183031e_bool * fun_Ho1695028467e_bool ) > fun_Ho1996104121e_bool ).

tff(func_def_308,type,
    hAPP_f2101312745e_bool: ( fun_fu302189515e_bool * fun_Ho1695028467e_bool ) > fun_Ho1695028467e_bool ).

tff(func_def_309,type,
    hAPP_f2059405973l_bool: ( fun_fu601378633l_bool * fun_Ho1695028467e_bool ) > fun_Ho1085560331l_bool ).

tff(func_def_310,type,
    hAPP_f406856233e_bool: ( fun_fu1403260939e_bool * fun_Ho760178998l_bool ) > fun_fu1176632176e_bool ).

tff(func_def_311,type,
    hAPP_f1795624711e_bool: ( fun_fu1067265135e_bool * fun_Ho1085560331l_bool ) > fun_fu1296727421e_bool ).

tff(func_def_312,type,
    hAPP_f392546175e_bool: ( fun_fu349737825e_bool * fun_Ho1110608055e_bool ) > fun_fu775812037e_bool ).

tff(func_def_313,type,
    hAPP_f1385420507e_bool: ( fun_fu265667599e_bool * fun_fu1499449723_pname ) > fun_fu410713561e_bool ).

tff(func_def_314,type,
    hAPP_f1935102916l_bool: ( fun_fu399576434l_bool * fun_fu1430349052l_bool ) > bool ).

tff(func_def_315,type,
    hAPP_f674760225e_bool: ( fun_fu608906319e_bool * fun_fu1430349052l_bool ) > fun_pname_bool ).

tff(func_def_316,type,
    hAPP_f1440968210e_bool: ( fun_fu1333785210e_bool * fun_fu1430349052l_bool ) > fun_Ho1996104121e_bool ).

tff(func_def_317,type,
    hAPP_f559147733l_bool: ( fun_fu2087345469l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).

tff(func_def_318,type,
    hAPP_f143162813l_bool: ( fun_fu1747008875l_bool * fun_fu1430349052l_bool ) > fun_fu31783638l_bool ).

tff(func_def_319,type,
    hAPP_f510955609l_bool: ( fun_fu1911931399l_bool * fun_fu1430349052l_bool ) > fun_fu399576434l_bool ).

tff(func_def_320,type,
    hAPP_f230953622l_bool: ( fun_fu1759027710l_bool * fun_fu1430349052l_bool ) > fun_fu2087345469l_bool ).

tff(func_def_321,type,
    hAPP_f1703905905e_bool: ( fun_fu764251295e_bool * fun_fu1604182422_state ) > fun_fu1176632176e_bool ).

tff(func_def_322,type,
    hAPP_f2082757169l_bool: ( fun_fu154623769l_bool * fun_fu410713561e_bool ) > fun_pn422929397l_bool ).

tff(func_def_323,type,
    hAPP_f624840228l_bool: ( fun_fu502368472l_bool * fun_fu31783638l_bool ) > fun_fu2087345469l_bool ).

tff(func_def_324,type,
    hAPP_f492176169l_bool: ( fun_fu542338571l_bool * fun_fu1176632176e_bool ) > fun_Ho760178998l_bool ).

tff(func_def_325,type,
    hAPP_f1297925993l_bool: ( fun_fu1901728075l_bool * fun_fu802393907l_bool ) > fun_fu802393907l_bool ).

tff(func_def_326,type,
    hAPP_f1145991873l_bool: ( fun_fu445680937l_bool * fun_fu931343505l_bool ) > fun_fu2087345469l_bool ).

tff(func_def_327,type,
    hAPP_f585615743e_bool: ( fun_fu372702637e_bool * fun_fu235184776_pname ) > fun_fu1040518284e_bool ).

tff(func_def_328,type,
    hAPP_f1699935247l_bool: ( fun_fu237807729l_bool * fun_fu689207471l_bool ) > bool ).

tff(func_def_329,type,
    hAPP_f75069804e_bool: ( fun_fu2122198606e_bool * fun_fu689207471l_bool ) > fun_pname_bool ).

tff(func_def_330,type,
    hAPP_f962122119e_bool: ( fun_fu1163781179e_bool * fun_fu689207471l_bool ) > fun_Ho1996104121e_bool ).

tff(func_def_331,type,
    hAPP_f900945761l_bool: ( fun_fu663891139l_bool * fun_fu689207471l_bool ) > fun_fu689207471l_bool ).

tff(func_def_332,type,
    hAPP_f440042033l_bool: ( fun_fu2072024677l_bool * fun_fu689207471l_bool ) > fun_fu854396771l_bool ).

tff(func_def_333,type,
    hAPP_f1970936639l_bool: ( fun_fu90736755l_bool * fun_fu689207471l_bool ) > fun_fu237807729l_bool ).

tff(func_def_334,type,
    hAPP_f19215249l_bool: ( fun_fu1415736773l_bool * fun_fu689207471l_bool ) > fun_fu663891139l_bool ).

tff(func_def_335,type,
    hAPP_f1185879473e_bool: ( fun_fu1900462437e_bool * fun_fu385705929_state ) > fun_fu1296727421e_bool ).

tff(func_def_336,type,
    hAPP_f662360091l_bool: ( fun_fu262057981l_bool * fun_fu1040518284e_bool ) > fun_pn249986828l_bool ).

tff(func_def_337,type,
    hAPP_f2051813877l_bool: ( fun_fu1370073565l_bool * fun_fu854396771l_bool ) > fun_fu663891139l_bool ).

tff(func_def_338,type,
    hAPP_f309954467l_bool: ( fun_fu1703951883l_bool * fun_fu1296727421e_bool ) > fun_Ho1085560331l_bool ).

tff(func_def_339,type,
    hAPP_f2051277573l_bool: ( fun_fu1923372391l_bool * fun_fu1173762305l_bool ) > fun_fu1173762305l_bool ).

tff(func_def_340,type,
    hAPP_f1846363427l_bool: ( fun_fu1805752587l_bool * fun_fu2083718837l_bool ) > fun_fu663891139l_bool ).

tff(func_def_341,type,
    hAPP_f389811538l_bool: ( fun_fu1438281908l_bool * fun_fu399576434l_bool ) > bool ).

tff(func_def_342,type,
    hAPP_f783502055l_bool: ( fun_fu1610316873l_bool * fun_fu399576434l_bool ) > fun_fu399576434l_bool ).

tff(func_def_343,type,
    hAPP_f1879335953l_bool: ( fun_fu1787620979l_bool * fun_fu1911931399l_bool ) > fun_fu1911931399l_bool ).

tff(func_def_344,type,
    hAPP_f755416249l_bool: ( fun_fu1086366823l_bool * fun_fu237807729l_bool ) > bool ).

tff(func_def_345,type,
    hAPP_f57684501l_bool: ( fun_fu2056529149l_bool * fun_fu237807729l_bool ) > fun_fu237807729l_bool ).

tff(func_def_346,type,
    hAPP_f1475014121l_bool: ( fun_fu544723403l_bool * fun_fu90736755l_bool ) > fun_fu90736755l_bool ).

tff(func_def_347,type,
    member_com: fun_co1633267573l_bool ).

tff(func_def_348,type,
    member_pname: fun_pn422929397l_bool ).

tff(func_def_349,type,
    member618553700_state: fun_Ho1085560331l_bool ).

tff(func_def_350,type,
    member799430823e_bool: fun_fu931343505l_bool ).

tff(func_def_351,type,
    member1062536460e_bool: fun_fu2083718837l_bool ).

tff(func_def_352,type,
    fa: fun_Ho1996104121e_bool ).

tff(func_def_353,type,
    pn: pname ).

tff(func_def_354,type,
    y: com ).

tff(func_def_355,type,
    sK0: state > state ).

tff(func_def_356,type,
    sK1: state ).

tff(func_def_357,type,
    sK2: state ).

tff(func_def_358,type,
    sK3: pname > com ).

tff(func_def_359,type,
    sK4: fun_pname_bool > pname ).

tff(func_def_360,type,
    sK5: fun_Ho1996104121e_bool > hoare_1875481847_state ).

tff(func_def_361,type,
    sK6: fun_pname_bool > pname ).

tff(func_def_362,type,
    sK7: fun_pname_bool > fun_pname_bool ).

tff(func_def_363,type,
    sK8: fun_Ho1996104121e_bool > hoare_1875481847_state ).

tff(func_def_364,type,
    sK9: fun_Ho1996104121e_bool > fun_Ho1996104121e_bool ).

tff(func_def_365,type,
    sK10: fun_fu689207471l_bool > fun_fu689207471l_bool ).

tff(func_def_366,type,
    sK11: fun_fu689207471l_bool > fun_Ho1996104121e_bool ).

tff(func_def_367,type,
    sK12: fun_fu1430349052l_bool > fun_fu1430349052l_bool ).

tff(func_def_368,type,
    sK13: fun_fu1430349052l_bool > fun_pname_bool ).

tff(func_def_369,type,
    sK14: fun_pname_bool > fun_pname_bool ).

tff(func_def_370,type,
    sK15: fun_pname_bool > pname ).

tff(func_def_371,type,
    sK16: fun_Ho1996104121e_bool > fun_Ho1996104121e_bool ).

tff(func_def_372,type,
    sK17: fun_Ho1996104121e_bool > hoare_1875481847_state ).

tff(func_def_373,type,
    sK18: fun_fu1430349052l_bool > fun_pname_bool ).

tff(func_def_374,type,
    sK19: fun_fu1430349052l_bool > fun_pname_bool ).

tff(func_def_375,type,
    sK20: fun_fu689207471l_bool > fun_Ho1996104121e_bool ).

tff(func_def_376,type,
    sK21: fun_fu689207471l_bool > fun_Ho1996104121e_bool ).

tff(func_def_377,type,
    sK22: fun_pname_bool > pname ).

tff(func_def_378,type,
    sK23: fun_pname_bool > pname ).

tff(func_def_379,type,
    sK24: fun_Ho1996104121e_bool > hoare_1875481847_state ).

tff(func_def_380,type,
    sK25: fun_Ho1996104121e_bool > hoare_1875481847_state ).

tff(func_def_381,type,
    sK26: fun_pname_bool > pname ).

tff(func_def_382,type,
    sK27: fun_Ho1996104121e_bool > hoare_1875481847_state ).

tff(func_def_383,type,
    sK28: fun_pname_bool > pname ).

tff(func_def_384,type,
    sK29: fun_Ho1996104121e_bool > hoare_1875481847_state ).

tff(func_def_385,type,
    sK30: hoare_1875481847_state > fun_st1506752259e_bool ).

tff(func_def_386,type,
    sK31: hoare_1875481847_state > com ).

tff(func_def_387,type,
    sK32: hoare_1875481847_state > fun_st1506752259e_bool ).

tff(func_def_388,type,
    sK33: fun_Ho1996104121e_bool > pname ).

tff(func_def_389,type,
    sK34: ( fun_fu235184776_pname * fun_fu689207471l_bool ) > fun_Ho1996104121e_bool ).

tff(func_def_390,type,
    sK35: ( fun_fu1499449723_pname * fun_fu1430349052l_bool ) > fun_pname_bool ).

tff(func_def_391,type,
    sK36: ( fun_fu1604182422_state * fun_fu1430349052l_bool ) > fun_pname_bool ).

tff(func_def_392,type,
    sK37: ( fun_fu385705929_state * fun_fu689207471l_bool ) > fun_Ho1996104121e_bool ).

tff(func_def_393,type,
    sK38: ( fun_pn760644914e_bool * fun_pname_bool ) > pname ).

tff(func_def_394,type,
    sK39: ( fun_pn800050071e_bool * fun_pname_bool ) > pname ).

tff(func_def_395,type,
    sK40: ( fun_pname_pname * fun_pname_bool ) > pname ).

tff(func_def_396,type,
    sK41: ( fun_pn664418900_state * fun_pname_bool ) > pname ).

tff(func_def_397,type,
    sK42: ( fun_Ho14659478e_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_398,type,
    sK43: ( fun_Ho1695028467e_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_399,type,
    sK44: ( fun_Ho1653816318_pname * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_400,type,
    sK45: ( fun_Ho1455141843_state * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_401,type,
    sK46: fun_fu399576434l_bool > fun_pname_bool ).

tff(func_def_402,type,
    sK47: fun_fu399576434l_bool > fun_fu1430349052l_bool ).

tff(func_def_403,type,
    sK48: fun_fu399576434l_bool > fun_pname_bool ).

tff(func_def_404,type,
    sK49: fun_fu237807729l_bool > fun_Ho1996104121e_bool ).

tff(func_def_405,type,
    sK50: fun_fu237807729l_bool > fun_fu689207471l_bool ).

tff(func_def_406,type,
    sK51: fun_fu237807729l_bool > fun_Ho1996104121e_bool ).

tff(func_def_407,type,
    sK52: fun_fu237807729l_bool > fun_Ho1996104121e_bool ).

tff(func_def_408,type,
    sK53: fun_fu237807729l_bool > fun_fu689207471l_bool ).

tff(func_def_409,type,
    sK54: fun_fu399576434l_bool > fun_pname_bool ).

tff(func_def_410,type,
    sK55: fun_fu399576434l_bool > fun_fu1430349052l_bool ).

tff(func_def_411,type,
    sK56: fun_fu1430349052l_bool > pname ).

tff(func_def_412,type,
    sK57: fun_fu1430349052l_bool > fun_pname_bool ).

tff(func_def_413,type,
    sK58: fun_fu1430349052l_bool > pname ).

tff(func_def_414,type,
    sK59: fun_fu1430349052l_bool > pname ).

tff(func_def_415,type,
    sK60: fun_fu1430349052l_bool > fun_pname_bool ).

tff(func_def_416,type,
    sK61: fun_fu689207471l_bool > hoare_1875481847_state ).

tff(func_def_417,type,
    sK62: fun_fu689207471l_bool > fun_Ho1996104121e_bool ).

tff(func_def_418,type,
    sK63: fun_fu689207471l_bool > hoare_1875481847_state ).

tff(func_def_419,type,
    sK64: fun_fu689207471l_bool > hoare_1875481847_state ).

tff(func_def_420,type,
    sK65: fun_fu689207471l_bool > fun_Ho1996104121e_bool ).

tff(func_def_421,type,
    sK66: ( pname * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_422,type,
    sK67: ( pname * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_423,type,
    sK68: ( hoare_1875481847_state * fun_Ho1996104121e_bool ) > fun_Ho1996104121e_bool ).

tff(func_def_424,type,
    sK69: ( hoare_1875481847_state * fun_Ho1996104121e_bool ) > fun_Ho1996104121e_bool ).

tff(func_def_425,type,
    sK70: ( pname * fun_pname_option_com ) > com ).

tff(func_def_426,type,
    sK71: ( fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_427,type,
    sK72: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_428,type,
    sK73: ( fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_429,type,
    sK74: ( fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_430,type,
    sK75: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_431,type,
    sK76: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_432,type,
    sK77: ( fun_fu1430349052l_bool * fun_fu1430349052l_bool ) > fun_pname_bool ).

tff(func_def_433,type,
    sK78: ( fun_fu689207471l_bool * fun_fu689207471l_bool ) > fun_Ho1996104121e_bool ).

tff(func_def_434,type,
    sK79: ( fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_435,type,
    sK80: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_436,type,
    sK81: ( fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_437,type,
    sK82: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_438,type,
    sK83: ( fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_439,type,
    sK84: ( fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_440,type,
    sK85: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_441,type,
    sK86: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_442,type,
    sK87: ( fun_fu237807729l_bool * fun_fu689207471l_bool ) > fun_Ho1996104121e_bool ).

tff(func_def_443,type,
    sK88: ( fun_fu237807729l_bool * fun_fu689207471l_bool ) > fun_fu689207471l_bool ).

tff(func_def_444,type,
    sK89: ( fun_fu399576434l_bool * fun_fu1430349052l_bool ) > fun_pname_bool ).

tff(func_def_445,type,
    sK90: ( fun_fu399576434l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).

tff(func_def_446,type,
    sK91: ( fun_pn760644914e_bool * fun_pname_bool * fun_fu689207471l_bool ) > fun_pname_bool ).

tff(func_def_447,type,
    sK92: ( fun_Ho14659478e_bool * fun_Ho1996104121e_bool * fun_fu1430349052l_bool ) > fun_Ho1996104121e_bool ).

tff(func_def_448,type,
    sK93: ( fun_pn800050071e_bool * fun_pname_bool * fun_fu1430349052l_bool ) > fun_pname_bool ).

tff(func_def_449,type,
    sK94: ( fun_Ho1695028467e_bool * fun_Ho1996104121e_bool * fun_fu689207471l_bool ) > fun_Ho1996104121e_bool ).

tff(func_def_450,type,
    sK95: ( fun_fu1430349052l_bool * fun_pname_bool ) > pname ).

tff(func_def_451,type,
    sK96: ( fun_fu1430349052l_bool * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_452,type,
    sK97: ( fun_fu235184776_pname * fun_fu689207471l_bool * fun_pname_bool ) > fun_fu689207471l_bool ).

tff(func_def_453,type,
    sK98: ( fun_Ho1653816318_pname * fun_Ho1996104121e_bool * fun_pname_bool ) > fun_Ho1996104121e_bool ).

tff(func_def_454,type,
    sK99: ( fun_fu1499449723_pname * fun_fu1430349052l_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).

tff(func_def_455,type,
    sK100: ( fun_pname_pname * fun_pname_bool * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_456,type,
    sK101: ( fun_fu689207471l_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_457,type,
    sK102: ( fun_fu689207471l_bool * fun_Ho1996104121e_bool ) > fun_Ho1996104121e_bool ).

tff(func_def_458,type,
    sK103: ( fun_fu1604182422_state * fun_fu1430349052l_bool * fun_Ho1996104121e_bool ) > fun_fu1430349052l_bool ).

tff(func_def_459,type,
    sK104: ( fun_fu385705929_state * fun_fu689207471l_bool * fun_Ho1996104121e_bool ) > fun_fu689207471l_bool ).

tff(func_def_460,type,
    sK105: ( fun_pn664418900_state * fun_pname_bool * fun_Ho1996104121e_bool ) > fun_pname_bool ).

tff(func_def_461,type,
    sK106: fun_fu2101097872e_bool > fun_pname_bool ).

tff(func_def_462,type,
    sK107: fun_fu2101097872e_bool > fun_pname_bool ).

tff(func_def_463,type,
    sK108: fun_fu947547457e_bool > fun_Ho1996104121e_bool ).

tff(func_def_464,type,
    sK109: fun_fu947547457e_bool > fun_Ho1996104121e_bool ).

tff(func_def_465,type,
    sK110: fun_pn1208287926_pname > pname ).

tff(func_def_466,type,
    sK111: fun_pn1208287926_pname > pname ).

tff(func_def_467,type,
    sK112: fun_Ho784854669_state > hoare_1875481847_state ).

tff(func_def_468,type,
    sK113: fun_Ho784854669_state > hoare_1875481847_state ).

tff(func_def_469,type,
    sK114: ( pname * fun_Ho1653816318_pname * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_470,type,
    sK115: ( hoare_1875481847_state * fun_pn664418900_state * fun_pname_bool ) > pname ).

tff(func_def_471,type,
    sK116: ( fun_pn664418900_state * fun_Ho1996104121e_bool * fun_pname_bool ) > pname ).

tff(func_def_472,type,
    sK117: ( fun_Ho1653816318_pname * fun_pname_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_473,type,
    sK118: ( fun_com_bool * option_com ) > com ).

tff(func_def_474,type,
    sK119: fun_Ho1996104121e_bool ).

tff(func_def_475,type,
    sK120: fun_Ho1996104121e_bool ).

tff(func_def_476,type,
    sK121: fun_Ho1996104121e_bool ).

tff(func_def_477,type,
    sK122: fun_Ho1996104121e_bool ).

tff(func_def_478,type,
    sK123: fun_Ho1996104121e_bool ).

tff(func_def_479,type,
    sK124: fun_Ho1996104121e_bool ).

tff(func_def_480,type,
    sK125: ( fun_pname_bool * fun_Ho1653816318_pname * fun_Ho1996104121e_bool ) > fun_Ho1996104121e_bool ).

tff(func_def_481,type,
    sK126: ( hoare_1875481847_state * fun_pn664418900_state * fun_pname_bool ) > pname ).

tff(func_def_482,type,
    sK127: ( fun_Ho1996104121e_bool * fun_pn664418900_state * fun_pname_bool ) > fun_pname_bool ).

tff(func_def_483,type,
    sK128: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_484,type,
    sK129: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_485,type,
    sK130: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_486,type,
    sK131: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_487,type,
    sK132: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_488,type,
    sK133: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_489,type,
    sK134: ( fun_pn664418900_state * fun_pn664418900_state * fun_pname_bool ) > pname ).

tff(func_def_490,type,
    sK135: ( fun_pname_pname * fun_pn1208287926_pname ) > pname ).

tff(func_def_491,type,
    sK136: ( fun_pname_pname * fun_pn1208287926_pname ) > pname ).

tff(func_def_492,type,
    sK137: ( fun_Ho1455141843_state * fun_Ho784854669_state ) > hoare_1875481847_state ).

tff(func_def_493,type,
    sK138: ( fun_Ho1455141843_state * fun_Ho784854669_state ) > hoare_1875481847_state ).

tff(func_def_494,type,
    sK139: ( fun_fu410713561e_bool * fun_fu2101097872e_bool ) > fun_pname_bool ).

tff(func_def_495,type,
    sK140: ( fun_fu410713561e_bool * fun_fu2101097872e_bool ) > fun_pname_bool ).

tff(func_def_496,type,
    sK141: ( fun_fu1296727421e_bool * fun_fu947547457e_bool ) > fun_Ho1996104121e_bool ).

tff(func_def_497,type,
    sK142: ( fun_fu1296727421e_bool * fun_fu947547457e_bool ) > fun_Ho1996104121e_bool ).

tff(func_def_498,type,
    sK143: fun_fu410713561e_bool > fun_pname_bool ).

tff(func_def_499,type,
    sK144: fun_fu410713561e_bool > fun_pname_bool ).

tff(func_def_500,type,
    sK145: fun_fu1296727421e_bool > fun_Ho1996104121e_bool ).

tff(func_def_501,type,
    sK146: fun_fu1296727421e_bool > fun_Ho1996104121e_bool ).

tff(func_def_502,type,
    sK147: ( fun_fu1430349052l_bool * fun_fu1430349052l_bool * fun_fu1430349052l_bool ) > fun_pname_bool ).

tff(func_def_503,type,
    sK148: ( fun_fu689207471l_bool * fun_fu689207471l_bool * fun_fu689207471l_bool ) > fun_Ho1996104121e_bool ).

tff(func_def_504,type,
    sK149: fun_fu410713561e_bool > fun_pname_bool ).

tff(func_def_505,type,
    sK150: fun_fu410713561e_bool > fun_pname_bool ).

tff(func_def_506,type,
    sK151: ( fun_pname_bool * fun_pname_bool * fun_pname_bool ) > pname ).

tff(func_def_507,type,
    sK152: fun_fu1296727421e_bool > fun_Ho1996104121e_bool ).

tff(func_def_508,type,
    sK153: fun_fu1296727421e_bool > fun_Ho1996104121e_bool ).

tff(func_def_509,type,
    sK154: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).

tff(func_def_510,type,
    sK155: ( com * com * state * state ) > state ).

tff(func_def_511,type,
    sK156: ( fun_state_bool * com * state * state ) > state ).

tff(func_def_512,type,
    sK157: ( fun_Ho1996104121e_bool * com * fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).

tff(func_def_513,type,
    sK158: ( fun_Ho1996104121e_bool * com * fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).

tff(func_def_514,type,
    sK159: ( fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).

tff(func_def_515,type,
    sK160: ( fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).

tff(func_def_516,type,
    sK161: ( fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).

tff(func_def_517,type,
    sK162: ( fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).

tff(func_def_518,type,
    sK163: ( fun_st1506752259e_bool * fun_st1506752259e_bool * fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).

tff(func_def_519,type,
    sK164: ( fun_st1506752259e_bool * fun_st1506752259e_bool * fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).

tff(func_def_520,type,
    sK165: ( fun_st1506752259e_bool * fun_st1506752259e_bool * fun_st1506752259e_bool * fun_st1506752259e_bool ) > state ).

tff(func_def_521,type,
    sK166: ( fun_pn12888928e_bool * fun_pn12888928e_bool * fun_Ho1996104121e_bool * fun_pn12888928e_bool * fun_pname_com * fun_pn12888928e_bool ) > pname ).

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

tff(pred_def_2,type,
    sP167: fun_fu608906319e_bool > $o ).

tff(pred_def_3,type,
    sP168: fun_fu1163781179e_bool > $o ).

tff(pred_def_4,type,
    sP169: fun_fu1499449723_pname > $o ).

tff(pred_def_5,type,
    sP170: fun_fu385705929_state > $o ).

tff(pred_def_6,type,
    sP171: fun_fu1499449723_pname > $o ).

tff(pred_def_7,type,
    sP172: fun_fu385705929_state > $o ).

tff(pred_def_8,type,
    sP173: fun_pname_bool > $o ).

tff(pred_def_9,type,
    sP174: fun_Ho1996104121e_bool > $o ).

tff(pred_def_10,type,
    sP175: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > $o ).

tff(pred_def_11,type,
    sP176: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > $o ).

tff(pred_def_12,type,
    sP177: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > $o ).

tff(pred_def_13,type,
    sP178: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > $o ).

tff(pred_def_14,type,
    sP179: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > $o ).

tff(pred_def_15,type,
    sP180: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > $o ).

tff(pred_def_16,type,
    sP181: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > $o ).

tff(pred_def_17,type,
    sP182: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > $o ).

tff(pred_def_18,type,
    sP183: ( fun_fu1499449723_pname * fun_pname_pname ) > $o ).

tff(pred_def_19,type,
    sP184: ( fun_fu385705929_state * fun_Ho1455141843_state ) > $o ).

tff(pred_def_20,type,
    sP185: ( fun_fu608906319e_bool * fun_fu410713561e_bool ) > $o ).

tff(pred_def_21,type,
    sP186: ( fun_fu1163781179e_bool * fun_fu1296727421e_bool ) > $o ).

tff(pred_def_22,type,
    sP187: fun_fu608906319e_bool > $o ).

tff(pred_def_23,type,
    sP188: fun_fu1163781179e_bool > $o ).

tff(pred_def_24,type,
    sP189: fun_fu608906319e_bool > $o ).

tff(pred_def_25,type,
    sP190: fun_fu1163781179e_bool > $o ).

tff(pred_def_26,type,
    sP191: fun_fu1499449723_pname > $o ).

tff(pred_def_27,type,
    sP192: fun_fu1499449723_pname > $o ).

tff(pred_def_28,type,
    sP193: fun_fu385705929_state > $o ).

tff(pred_def_29,type,
    sP194: fun_fu385705929_state > $o ).

tff(pred_def_30,type,
    sP195: ( fun_st1506752259e_bool * fun_st1506752259e_bool * fun_st1506752259e_bool * fun_st1506752259e_bool ) > $o ).

tff(f503669,plain,
    $false,
    inference(avatar_sat_refutation,[],[f4002,f4870,f8237,f8251,f9521,f82597,f503550,f503643]) ).

tff(f503643,plain,
    spl196_216,
    inference(avatar_contradiction_clause,[],[f503642]) ).

tff(f503642,plain,
    ( $false
    | spl196_216 ),
    inference(trivial_inequality_removal,[],[f503637]) ).

tff(f503637,plain,
    ( ( bot_bo844097828e_bool != bot_bo844097828e_bool )
    | spl196_216 ),
    inference(superposition,[],[f4192,f503556]) ).

tff(f503556,plain,
    ( ! [X0: pname] : ( bot_bo844097828e_bool = hAPP_p61793385e_bool(fequal_pname,X0) )
    | spl196_216 ),
    inference(forward_demodulation,[],[f503555,f2675]) ).

tff(f2675,plain,
    ! [X0: fun_Ho1653816318_pname] : ( bot_bo844097828e_bool = hAPP_f1148778334e_bool(image_720060442_pname(X0),bot_bo1715400655e_bool) ),
    inference(cnf_transformation,[],[f829]) ).

tff(f829,plain,
    ! [X0: fun_Ho1653816318_pname] : ( bot_bo844097828e_bool = hAPP_f1148778334e_bool(image_720060442_pname(X0),bot_bo1715400655e_bool) ),
    inference(rectify,[],[f162]) ).

tff(f162,axiom,
    ! [X14: fun_Ho1653816318_pname] : ( bot_bo844097828e_bool = hAPP_f1148778334e_bool(image_720060442_pname(X14),bot_bo1715400655e_bool) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f503555,plain,
    ( ! [X0: pname] : ( hAPP_p61793385e_bool(fequal_pname,X0) = hAPP_f1148778334e_bool(image_720060442_pname(cOMBK_1595564845_state(X0)),bot_bo1715400655e_bool) )
    | spl196_216 ),
    inference(resolution,[],[f503549,f33249]) ).

tff(f33249,plain,
    ! [X2: fun_Ho1996104121e_bool,X0: pname] :
      ( sP174(X2)
      | ( hAPP_p61793385e_bool(fequal_pname,X0) = hAPP_f1148778334e_bool(image_720060442_pname(cOMBK_1595564845_state(X0)),X2) ) ),
    inference(forward_demodulation,[],[f3948,f7169]) ).

tff(f7169,plain,
    ! [X0: pname] : ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X0),bot_bo844097828e_bool) = hAPP_p61793385e_bool(fequal_pname,X0) ),
    inference(forward_demodulation,[],[f2713,f2668]) ).

tff(f2668,plain,
    ! [X0: fun_pname_bool] : ( hAPP_f759274231e_bool(collect_pname,X0) = X0 ),
    inference(cnf_transformation,[],[f823]) ).

tff(f823,plain,
    ! [X0: fun_pname_bool] : ( hAPP_f759274231e_bool(collect_pname,X0) = X0 ),
    inference(rectify,[],[f179]) ).

tff(f179,axiom,
    ! [X11: fun_pname_bool] : ( hAPP_f759274231e_bool(collect_pname,X11) = X11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f2713,plain,
    ! [X0: pname] : ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X0),bot_bo844097828e_bool) = hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(fequal_pname,X0)) ),
    inference(cnf_transformation,[],[f867]) ).

tff(f867,plain,
    ! [X0: pname] : ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X0),bot_bo844097828e_bool) = hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(fequal_pname,X0)) ),
    inference(rectify,[],[f211]) ).

tff(f211,axiom,
    ! [X9: pname] : ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X9),bot_bo844097828e_bool) = hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(fequal_pname,X9)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f3948,plain,
    ! [X2: fun_Ho1996104121e_bool,X0: pname] :
      ( ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X0),bot_bo844097828e_bool) = hAPP_f1148778334e_bool(image_720060442_pname(cOMBK_1595564845_state(X0)),X2) )
      | sP174(X2) ),
    inference(cnf_transformation,[],[f3948_D]) ).

tff(f3948_D,plain,
    ! [X2] :
      ( ! [X0] : ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X0),bot_bo844097828e_bool) = hAPP_f1148778334e_bool(image_720060442_pname(cOMBK_1595564845_state(X0)),X2) )
    <=> ~ sP174(X2) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP174])]) ).

tff(f503549,plain,
    ( ~ sP174(bot_bo1715400655e_bool)
    | spl196_216 ),
    inference(avatar_component_clause,[],[f503547]) ).

tff(f503547,plain,
    ( spl196_216
  <=> sP174(bot_bo1715400655e_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl196_216])]) ).

tff(f4192,plain,
    ! [X0: pname] : ( bot_bo844097828e_bool != hAPP_p61793385e_bool(fequal_pname,X0) ),
    inference(resolution,[],[f4191,f3837]) ).

tff(f3837,plain,
    ! [X1: pname] : hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X1)),
    inference(equality_resolution,[],[f2926]) ).

tff(f2926,plain,
    ! [X0: pname,X1: pname] :
      ( hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f1032]) ).

tff(f1032,plain,
    ! [X0: pname,X1: pname] :
      ( hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X0),X1))
      | ( X0 != X1 ) ),
    inference(rectify,[],[f715]) ).

tff(f715,axiom,
    ! [X95: pname,X96: pname] :
      ( hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X95),X96))
      | ( X95 != X96 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f4191,plain,
    ! [X2: pname,X0: fun_pname_bool] :
      ( ~ hBOOL(hAPP_pname_bool(X0,X2))
      | ( bot_bo844097828e_bool != X0 ) ),
    inference(forward_demodulation,[],[f2779,f2668]) ).

tff(f2779,plain,
    ! [X2: pname,X0: fun_pname_bool] :
      ( ~ hBOOL(hAPP_pname_bool(X0,X2))
      | ( bot_bo844097828e_bool != hAPP_f759274231e_bool(collect_pname,X0) ) ),
    inference(cnf_transformation,[],[f2273]) ).

tff(f2273,plain,
    ! [X0: fun_pname_bool] :
      ( ( ( bot_bo844097828e_bool = hAPP_f759274231e_bool(collect_pname,X0) )
        | hBOOL(hAPP_pname_bool(X0,sK22(X0))) )
      & ( ! [X2: pname] : ~ hBOOL(hAPP_pname_bool(X0,X2))
        | ( bot_bo844097828e_bool != hAPP_f759274231e_bool(collect_pname,X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f2271,f2272]) ).

tff(f2272,plain,
    ! [X0: fun_pname_bool] :
      ( ? [X1: pname] : hBOOL(hAPP_pname_bool(X0,X1))
     => hBOOL(hAPP_pname_bool(X0,sK22(X0))) ),
    introduced(choice_axiom,[]) ).

tff(f2271,plain,
    ! [X0: fun_pname_bool] :
      ( ( ( bot_bo844097828e_bool = hAPP_f759274231e_bool(collect_pname,X0) )
        | ? [X1: pname] : hBOOL(hAPP_pname_bool(X0,X1)) )
      & ( ! [X2: pname] : ~ hBOOL(hAPP_pname_bool(X0,X2))
        | ( bot_bo844097828e_bool != hAPP_f759274231e_bool(collect_pname,X0) ) ) ),
    inference(rectify,[],[f2270]) ).

tff(f2270,plain,
    ! [X0: fun_pname_bool] :
      ( ( ( bot_bo844097828e_bool = hAPP_f759274231e_bool(collect_pname,X0) )
        | ? [X1: pname] : hBOOL(hAPP_pname_bool(X0,X1)) )
      & ( ! [X1: pname] : ~ hBOOL(hAPP_pname_bool(X0,X1))
        | ( bot_bo844097828e_bool != hAPP_f759274231e_bool(collect_pname,X0) ) ) ),
    inference(nnf_transformation,[],[f907]) ).

tff(f907,plain,
    ! [X0: fun_pname_bool] :
      ( ( bot_bo844097828e_bool = hAPP_f759274231e_bool(collect_pname,X0) )
    <=> ! [X1: pname] : ~ hBOOL(hAPP_pname_bool(X0,X1)) ),
    inference(rectify,[],[f75]) ).

tff(f75,axiom,
    ! [X11: fun_pname_bool] :
      ( ( bot_bo844097828e_bool = hAPP_f759274231e_bool(collect_pname,X11) )
    <=> ! [X18: pname] : ~ hBOOL(hAPP_pname_bool(X11,X18)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f503550,plain,
    ( ~ spl196_216
    | ~ spl196_1
    | ~ spl196_25
    | ~ spl196_26
    | ~ spl196_46 ),
    inference(avatar_split_clause,[],[f503472,f82595,f9519,f8235,f3993,f503547]) ).

tff(f3993,plain,
    ( spl196_1
  <=> hBOOL(hoare_1239590103gleton) ),
    introduced(avatar_definition,[new_symbols(naming,[spl196_1])]) ).

tff(f8235,plain,
    ( spl196_25
  <=> ! [X0: pname,X1: com] :
        ( hBOOL(hAPP_com_bool(wt,X1))
        | ( hAPP_p799580910on_com(body,X0) != some_com(X1) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl196_25])]) ).

tff(f9519,plain,
    ( spl196_26
  <=> ! [X0: bool] :
        ( ( bot_bo844097828e_bool = cOMBK_bool_pname(X0) )
        | ( fTrue = X0 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl196_26])]) ).

tff(f82595,plain,
    ( spl196_46
  <=> ! [X0: com] :
        ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_H117293375e_bool(fequal391417144_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0))))
        | ~ hBOOL(hAPP_com_bool(wt,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl196_46])]) ).

tff(f503472,plain,
    ( ~ hBOOL(hoare_1239590103gleton)
    | ~ sP174(bot_bo1715400655e_bool)
    | ~ spl196_25
    | ~ spl196_26
    | ~ spl196_46 ),
    inference(forward_demodulation,[],[f503285,f37924]) ).

tff(f37924,plain,
    ( ( hoare_1239590103gleton = hAPP_com_bool(wt,y) )
    | ~ spl196_25
    | ~ spl196_26 ),
    inference(resolution,[],[f37917,f9689]) ).

tff(f9689,plain,
    ( ! [X0: bool] :
        ( ~ hBOOL(X0)
        | ( hoare_1239590103gleton = X0 ) )
    | ~ spl196_26 ),
    inference(backward_demodulation,[],[f9527,f9556]) ).

tff(f9556,plain,
    ( ( hoare_1239590103gleton = fTrue )
    | ~ spl196_26 ),
    inference(resolution,[],[f9527,f2644]) ).

tff(f2644,plain,
    hBOOL(hoare_1239590103gleton),
    inference(cnf_transformation,[],[f807]) ).

tff(f807,axiom,
    hBOOL(hoare_1239590103gleton),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f9527,plain,
    ( ! [X0: bool] :
        ( ~ hBOOL(X0)
        | ( fTrue = X0 ) )
    | ~ spl196_26 ),
    inference(trivial_inequality_removal,[],[f9525]) ).

tff(f9525,plain,
    ( ! [X0: bool] :
        ( ( bot_bo844097828e_bool != bot_bo844097828e_bool )
        | ~ hBOOL(X0)
        | ( fTrue = X0 ) )
    | ~ spl196_26 ),
    inference(superposition,[],[f4196,f9520]) ).

tff(f9520,plain,
    ( ! [X0: bool] :
        ( ( bot_bo844097828e_bool = cOMBK_bool_pname(X0) )
        | ( fTrue = X0 ) )
    | ~ spl196_26 ),
    inference(avatar_component_clause,[],[f9519]) ).

tff(f4196,plain,
    ! [X0: bool] :
      ( ( bot_bo844097828e_bool != cOMBK_bool_pname(X0) )
      | ~ hBOOL(X0) ),
    inference(superposition,[],[f4191,f2811]) ).

tff(f2811,plain,
    ! [X0: bool,X1: pname] : ( hAPP_pname_bool(cOMBK_bool_pname(X0),X1) = X0 ),
    inference(cnf_transformation,[],[f927]) ).

tff(f927,plain,
    ! [X0: bool,X1: pname] : ( hAPP_pname_bool(cOMBK_bool_pname(X0),X1) = X0 ),
    inference(rectify,[],[f718]) ).

tff(f718,axiom,
    ! [X30: bool,X94: pname] : ( hAPP_pname_bool(cOMBK_bool_pname(X30),X94) = X30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f37917,plain,
    ( hBOOL(hAPP_com_bool(wt,y))
    | ~ spl196_25 ),
    inference(equality_resolution,[],[f8252]) ).

tff(f8252,plain,
    ( ! [X0: com] :
        ( ( some_com(y) != some_com(X0) )
        | hBOOL(hAPP_com_bool(wt,X0)) )
    | ~ spl196_25 ),
    inference(superposition,[],[f8236,f2646]) ).

tff(f2646,plain,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    inference(cnf_transformation,[],[f812]) ).

tff(f812,axiom,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f8236,plain,
    ( ! [X0: pname,X1: com] :
        ( ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
        | hBOOL(hAPP_com_bool(wt,X1)) )
    | ~ spl196_25 ),
    inference(avatar_component_clause,[],[f8235]) ).

tff(f503285,plain,
    ( ~ sP174(bot_bo1715400655e_bool)
    | ~ hBOOL(hAPP_com_bool(wt,y))
    | ~ spl196_46 ),
    inference(resolution,[],[f502692,f82596]) ).

tff(f82596,plain,
    ( ! [X0: com] :
        ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_H117293375e_bool(fequal391417144_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0))))
        | ~ hBOOL(hAPP_com_bool(wt,X0)) )
    | ~ spl196_46 ),
    inference(avatar_component_clause,[],[f82595]) ).

tff(f502692,plain,
    ! [X0: fun_Ho1996104121e_bool] :
      ( ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),hAPP_H117293375e_bool(fequal391417144_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y))))
      | ~ sP174(X0) ),
    inference(resolution,[],[f39617,f35255]) ).

tff(f35255,plain,
    ! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X0))
      | ~ sP174(X0) ),
    inference(resolution,[],[f35202,f3077]) ).

tff(f3077,plain,
    ! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool] :
      ( ~ hBOOL(hAPP_f1408815105l_bool(hAPP_f1873026899l_bool(ord_le233469699e_bool,X0),X1))
      | hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X0)) ),
    inference(cnf_transformation,[],[f1759]) ).

tff(f1759,plain,
    ! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X0))
      | ~ hBOOL(hAPP_f1408815105l_bool(hAPP_f1873026899l_bool(ord_le233469699e_bool,X0),X1)) ),
    inference(ennf_transformation,[],[f1133]) ).

tff(f1133,plain,
    ! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hAPP_f1873026899l_bool(ord_le233469699e_bool,X0),X1))
     => hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X0)) ),
    inference(rectify,[],[f2]) ).

tff(f2,axiom,
    ! [X1: fun_Ho1996104121e_bool,X0: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hAPP_f1873026899l_bool(ord_le233469699e_bool,X1),X0))
     => hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f35202,plain,
    ! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hAPP_f1873026899l_bool(ord_le233469699e_bool,X0),X1))
      | ~ sP174(X0) ),
    inference(resolution,[],[f3135,f3949]) ).

tff(f3949,plain,
    ! [X2: fun_Ho1996104121e_bool,X1: hoare_1875481847_state] :
      ( ~ hBOOL(hAPP_f1408815105l_bool(hAPP_H810811817l_bool(member618553700_state,X1),X2))
      | ~ sP174(X2) ),
    inference(general_splitting,[],[f3498,f3948_D]) ).

tff(f3498,plain,
    ! [X2: fun_Ho1996104121e_bool,X0: pname,X1: hoare_1875481847_state] :
      ( ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X0),bot_bo844097828e_bool) = hAPP_f1148778334e_bool(image_720060442_pname(cOMBK_1595564845_state(X0)),X2) )
      | ~ hBOOL(hAPP_f1408815105l_bool(hAPP_H810811817l_bool(member618553700_state,X1),X2)) ),
    inference(cnf_transformation,[],[f1966]) ).

tff(f1966,plain,
    ! [X0: pname,X1: hoare_1875481847_state,X2: fun_Ho1996104121e_bool] :
      ( ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X0),bot_bo844097828e_bool) = hAPP_f1148778334e_bool(image_720060442_pname(cOMBK_1595564845_state(X0)),X2) )
      | ~ hBOOL(hAPP_f1408815105l_bool(hAPP_H810811817l_bool(member618553700_state,X1),X2)) ),
    inference(ennf_transformation,[],[f1426]) ).

tff(f1426,plain,
    ! [X0: pname,X1: hoare_1875481847_state,X2: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hAPP_H810811817l_bool(member618553700_state,X1),X2))
     => ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X0),bot_bo844097828e_bool) = hAPP_f1148778334e_bool(image_720060442_pname(cOMBK_1595564845_state(X0)),X2) ) ),
    inference(rectify,[],[f38]) ).

tff(f38,axiom,
    ! [X12: pname,X13: hoare_1875481847_state,X6: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hAPP_H810811817l_bool(member618553700_state,X13),X6))
     => ( hAPP_f1148778334e_bool(image_720060442_pname(cOMBK_1595564845_state(X12)),X6) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f3135,plain,
    ! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hAPP_H810811817l_bool(member618553700_state,sK80(X0,X1)),X1))
      | hBOOL(hAPP_f1408815105l_bool(hAPP_f1873026899l_bool(ord_le233469699e_bool,X1),X0)) ),
    inference(cnf_transformation,[],[f2389]) ).

tff(f2389,plain,
    ! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hAPP_f1873026899l_bool(ord_le233469699e_bool,X1),X0))
      | ( ~ hBOOL(hAPP_f1408815105l_bool(hAPP_H810811817l_bool(member618553700_state,sK80(X0,X1)),X0))
        & hBOOL(hAPP_f1408815105l_bool(hAPP_H810811817l_bool(member618553700_state,sK80(X0,X1)),X1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK80])],[f1808,f2388]) ).

tff(f2388,plain,
    ! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool] :
      ( ? [X2: hoare_1875481847_state] :
          ( ~ hBOOL(hAPP_f1408815105l_bool(hAPP_H810811817l_bool(member618553700_state,X2),X0))
          & hBOOL(hAPP_f1408815105l_bool(hAPP_H810811817l_bool(member618553700_state,X2),X1)) )
     => ( ~ hBOOL(hAPP_f1408815105l_bool(hAPP_H810811817l_bool(member618553700_state,sK80(X0,X1)),X0))
        & hBOOL(hAPP_f1408815105l_bool(hAPP_H810811817l_bool(member618553700_state,sK80(X0,X1)),X1)) ) ),
    introduced(choice_axiom,[]) ).

tff(f1808,plain,
    ! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hAPP_f1873026899l_bool(ord_le233469699e_bool,X1),X0))
      | ? [X2: hoare_1875481847_state] :
          ( ~ hBOOL(hAPP_f1408815105l_bool(hAPP_H810811817l_bool(member618553700_state,X2),X0))
          & hBOOL(hAPP_f1408815105l_bool(hAPP_H810811817l_bool(member618553700_state,X2),X1)) ) ),
    inference(ennf_transformation,[],[f1175]) ).

tff(f1175,plain,
    ! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool] :
      ( ! [X2: hoare_1875481847_state] :
          ( hBOOL(hAPP_f1408815105l_bool(hAPP_H810811817l_bool(member618553700_state,X2),X1))
         => hBOOL(hAPP_f1408815105l_bool(hAPP_H810811817l_bool(member618553700_state,X2),X0)) )
     => hBOOL(hAPP_f1408815105l_bool(hAPP_f1873026899l_bool(ord_le233469699e_bool,X1),X0)) ),
    inference(rectify,[],[f225]) ).

tff(f225,axiom,
    ! [X16: fun_Ho1996104121e_bool,X6: fun_Ho1996104121e_bool] :
      ( ! [X18: hoare_1875481847_state] :
          ( hBOOL(hAPP_f1408815105l_bool(hAPP_H810811817l_bool(member618553700_state,X18),X6))
         => hBOOL(hAPP_f1408815105l_bool(hAPP_H810811817l_bool(member618553700_state,X18),X16)) )
     => hBOOL(hAPP_f1408815105l_bool(hAPP_f1873026899l_bool(ord_le233469699e_bool,X6),X16)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f39617,plain,
    ! [X0: fun_Ho1996104121e_bool] :
      ( ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),X0))
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),hAPP_H117293375e_bool(fequal391417144_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)))) ),
    inference(resolution,[],[f3443,f35569]) ).

tff(f35569,plain,
    ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_H117293375e_bool(fequal391417144_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)))),
    inference(forward_demodulation,[],[f2642,f7223]) ).

tff(f7223,plain,
    ! [X0: hoare_1875481847_state] : ( hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,X0),bot_bo1715400655e_bool) = hAPP_H117293375e_bool(fequal391417144_state,X0) ),
    inference(forward_demodulation,[],[f2714,f2669]) ).

tff(f2669,plain,
    ! [X0: fun_Ho1996104121e_bool] : ( hAPP_f121055253e_bool(collec1735317154_state,X0) = X0 ),
    inference(cnf_transformation,[],[f824]) ).

tff(f824,plain,
    ! [X0: fun_Ho1996104121e_bool] : ( hAPP_f121055253e_bool(collec1735317154_state,X0) = X0 ),
    inference(rectify,[],[f178]) ).

tff(f178,axiom,
    ! [X11: fun_Ho1996104121e_bool] : ( hAPP_f121055253e_bool(collec1735317154_state,X11) = X11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f2714,plain,
    ! [X0: hoare_1875481847_state] : ( hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,X0),bot_bo1715400655e_bool) = hAPP_f121055253e_bool(collec1735317154_state,hAPP_H117293375e_bool(fequal391417144_state,X0)) ),
    inference(cnf_transformation,[],[f868]) ).

tff(f868,plain,
    ! [X0: hoare_1875481847_state] : ( hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,X0),bot_bo1715400655e_bool) = hAPP_f121055253e_bool(collec1735317154_state,hAPP_H117293375e_bool(fequal391417144_state,X0)) ),
    inference(rectify,[],[f214]) ).

tff(f214,axiom,
    ! [X9: hoare_1875481847_state] : ( hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,X9),bot_bo1715400655e_bool) = hAPP_f121055253e_bool(collec1735317154_state,hAPP_H117293375e_bool(fequal391417144_state,X9)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f2642,plain,
    ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool))),
    inference(cnf_transformation,[],[f816]) ).

tff(f816,plain,
    ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool))),
    inference(flattening,[],[f815]) ).

tff(f815,negated_conjecture,
    ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool))),
    inference(negated_conjecture,[],[f814]) ).

tff(f814,conjecture,
    hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f3443,plain,
    ! [X2: fun_Ho1996104121e_bool,X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X2))
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X1))
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X2)) ),
    inference(cnf_transformation,[],[f1893]) ).

tff(f1893,plain,
    ! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool,X2: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X2))
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X1))
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X2)) ),
    inference(flattening,[],[f1892]) ).

tff(f1892,plain,
    ! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool,X2: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X2))
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X1))
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X2)) ),
    inference(ennf_transformation,[],[f1375]) ).

tff(f1375,plain,
    ! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool,X2: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X2))
     => ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X1))
       => hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X2)) ) ),
    inference(rectify,[],[f5]) ).

tff(f5,axiom,
    ! [X0: fun_Ho1996104121e_bool,X3: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X3),X1))
     => ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X3))
       => hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f82597,plain,
    ( spl196_46
    | ~ spl196_1
    | ~ spl196_26 ),
    inference(avatar_split_clause,[],[f82593,f9519,f3993,f82595]) ).

tff(f82593,plain,
    ( ! [X0: com] :
        ( ~ hBOOL(hoare_1239590103gleton)
        | hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_H117293375e_bool(fequal391417144_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0))))
        | ~ hBOOL(hAPP_com_bool(wt,X0)) )
    | ~ spl196_26 ),
    inference(duplicate_literal_removal,[],[f82592]) ).

tff(f82592,plain,
    ( ! [X0: com] :
        ( ~ hBOOL(hoare_1239590103gleton)
        | hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_H117293375e_bool(fequal391417144_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0))))
        | ~ hBOOL(hAPP_com_bool(wt,X0))
        | ~ hBOOL(hoare_1239590103gleton) )
    | ~ spl196_26 ),
    inference(forward_demodulation,[],[f82591,f9690]) ).

tff(f9690,plain,
    ( ( hoare_1239590103gleton = wT_bodies )
    | ~ spl196_26 ),
    inference(backward_demodulation,[],[f9555,f9556]) ).

tff(f9555,plain,
    ( ( wT_bodies = fTrue )
    | ~ spl196_26 ),
    inference(resolution,[],[f9527,f2643]) ).

tff(f2643,plain,
    hBOOL(wT_bodies),
    inference(cnf_transformation,[],[f808]) ).

tff(f808,axiom,
    hBOOL(wT_bodies),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f82591,plain,
    ! [X0: com] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_H117293375e_bool(fequal391417144_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0))))
      | ~ hBOOL(hAPP_com_bool(wt,X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_1239590103gleton) ),
    inference(forward_demodulation,[],[f2727,f7223]) ).

tff(f2727,plain,
    ! [X0: com] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0)),bot_bo1715400655e_bool)))
      | ~ hBOOL(hAPP_com_bool(wt,X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_1239590103gleton) ),
    inference(cnf_transformation,[],[f1612]) ).

tff(f1612,plain,
    ! [X0: com] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0)),bot_bo1715400655e_bool)))
      | ~ hBOOL(hAPP_com_bool(wt,X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_1239590103gleton) ),
    inference(flattening,[],[f1611]) ).

tff(f1611,plain,
    ! [X0: com] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0)),bot_bo1715400655e_bool)))
      | ~ hBOOL(hAPP_com_bool(wt,X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_1239590103gleton) ),
    inference(ennf_transformation,[],[f881]) ).

tff(f881,plain,
    ! [X0: com] :
      ( hBOOL(hoare_1239590103gleton)
     => ( hBOOL(wT_bodies)
       => ( hBOOL(hAPP_com_bool(wt,X0))
         => hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0)),bot_bo1715400655e_bool))) ) ) ),
    inference(rectify,[],[f54]) ).

tff(f54,axiom,
    ! [X12: com] :
      ( hBOOL(hoare_1239590103gleton)
     => ( hBOOL(wT_bodies)
       => ( hBOOL(hAPP_com_bool(wt,X12))
         => hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X12)),bot_bo1715400655e_bool))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f9521,plain,
    ( spl196_26
    | spl196_13 ),
    inference(avatar_split_clause,[],[f7327,f4745,f9519]) ).

tff(f4745,plain,
    ( spl196_13
  <=> hBOOL(fFalse) ),
    introduced(avatar_definition,[new_symbols(naming,[spl196_13])]) ).

tff(f7327,plain,
    ! [X0: bool] :
      ( hBOOL(fFalse)
      | ( bot_bo844097828e_bool = cOMBK_bool_pname(X0) )
      | ( fTrue = X0 ) ),
    inference(superposition,[],[f6661,f4071]) ).

tff(f4071,plain,
    ! [X0: bool,X1: pname] :
      ( ( fFalse = hAPP_pname_bool(cOMBK_bool_pname(X0),X1) )
      | ( fTrue = X0 ) ),
    inference(superposition,[],[f2811,f2723]) ).

tff(f2723,plain,
    ! [X0: bool] :
      ( ( fTrue = X0 )
      | ( fFalse = X0 ) ),
    inference(cnf_transformation,[],[f877]) ).

tff(f877,plain,
    ! [X0: bool] :
      ( ( fFalse = X0 )
      | ( fTrue = X0 ) ),
    inference(rectify,[],[f709]) ).

tff(f709,axiom,
    ! [X30: bool] :
      ( ( fFalse = X30 )
      | ( fTrue = X30 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f6661,plain,
    ! [X0: fun_pname_bool] :
      ( hBOOL(hAPP_pname_bool(X0,sK4(X0)))
      | ( bot_bo844097828e_bool = X0 ) ),
    inference(resolution,[],[f3159,f2735]) ).

tff(f2735,plain,
    ! [X0: fun_pname_bool] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK4(X0)),X0))
      | ( bot_bo844097828e_bool = X0 ) ),
    inference(cnf_transformation,[],[f2217]) ).

tff(f2217,plain,
    ! [X0: fun_pname_bool] :
      ( ( bot_bo844097828e_bool = X0 )
      | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK4(X0)),X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f1620,f2216]) ).

tff(f2216,plain,
    ! [X0: fun_pname_bool] :
      ( ? [X1: pname] : hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X0))
     => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK4(X0)),X0)) ),
    introduced(choice_axiom,[]) ).

tff(f1620,plain,
    ! [X0: fun_pname_bool] :
      ( ( bot_bo844097828e_bool = X0 )
      | ? [X1: pname] : hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X0)) ),
    inference(ennf_transformation,[],[f889]) ).

tff(f889,plain,
    ! [X0: fun_pname_bool] :
      ( ! [X1: pname] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X0))
     => ( bot_bo844097828e_bool = X0 ) ),
    inference(rectify,[],[f532]) ).

tff(f532,axiom,
    ! [X6: fun_pname_bool] :
      ( ! [X31: pname] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X31),X6))
     => ( bot_bo844097828e_bool = X6 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f3159,plain,
    ! [X0: pname,X1: fun_pname_bool] :
      ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
      | hBOOL(hAPP_pname_bool(X1,X0)) ),
    inference(cnf_transformation,[],[f2403]) ).

tff(f2403,plain,
    ! [X0: pname,X1: fun_pname_bool] :
      ( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
        | ~ hBOOL(hAPP_pname_bool(X1,X0)) )
      & ( hBOOL(hAPP_pname_bool(X1,X0))
        | ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1)) ) ),
    inference(nnf_transformation,[],[f1185]) ).

tff(f1185,plain,
    ! [X0: pname,X1: fun_pname_bool] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
    <=> hBOOL(hAPP_pname_bool(X1,X0)) ),
    inference(rectify,[],[f176]) ).

tff(f176,axiom,
    ! [X13: pname,X6: fun_pname_bool] :
      ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X13),X6))
    <=> hBOOL(hAPP_pname_bool(X6,X13)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f8251,plain,
    spl196_24,
    inference(avatar_contradiction_clause,[],[f8238]) ).

tff(f8238,plain,
    ( $false
    | spl196_24 ),
    inference(resolution,[],[f8233,f2643]) ).

tff(f8233,plain,
    ( ~ hBOOL(wT_bodies)
    | spl196_24 ),
    inference(avatar_component_clause,[],[f8231]) ).

tff(f8231,plain,
    ( spl196_24
  <=> hBOOL(wT_bodies) ),
    introduced(avatar_definition,[new_symbols(naming,[spl196_24])]) ).

tff(f8237,plain,
    ( ~ spl196_24
    | spl196_25 ),
    inference(avatar_split_clause,[],[f2940,f8235,f8231]) ).

tff(f2940,plain,
    ! [X0: pname,X1: com] :
      ( hBOOL(hAPP_com_bool(wt,X1))
      | ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
      | ~ hBOOL(wT_bodies) ),
    inference(cnf_transformation,[],[f1634]) ).

tff(f1634,plain,
    ! [X0: pname,X1: com] :
      ( hBOOL(hAPP_com_bool(wt,X1))
      | ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
      | ~ hBOOL(wT_bodies) ),
    inference(flattening,[],[f1633]) ).

tff(f1633,plain,
    ! [X0: pname,X1: com] :
      ( hBOOL(hAPP_com_bool(wt,X1))
      | ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
      | ~ hBOOL(wT_bodies) ),
    inference(ennf_transformation,[],[f1046]) ).

tff(f1046,plain,
    ! [X0: pname,X1: com] :
      ( hBOOL(wT_bodies)
     => ( ( hAPP_p799580910on_com(body,X0) = some_com(X1) )
       => hBOOL(hAPP_com_bool(wt,X1)) ) ),
    inference(rectify,[],[f216]) ).

tff(f216,axiom,
    ! [X26: pname,X27: com] :
      ( hBOOL(wT_bodies)
     => ( ( hAPP_p799580910on_com(body,X26) = some_com(X27) )
       => hBOOL(hAPP_com_bool(wt,X27)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f4870,plain,
    ~ spl196_13,
    inference(avatar_contradiction_clause,[],[f4866]) ).

tff(f4866,plain,
    ( $false
    | ~ spl196_13 ),
    inference(resolution,[],[f4747,f2650]) ).

tff(f2650,plain,
    ~ hBOOL(fFalse),
    inference(cnf_transformation,[],[f708]) ).

tff(f708,axiom,
    ~ hBOOL(fFalse),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f4747,plain,
    ( hBOOL(fFalse)
    | ~ spl196_13 ),
    inference(avatar_component_clause,[],[f4745]) ).

tff(f4002,plain,
    spl196_1,
    inference(avatar_contradiction_clause,[],[f4001]) ).

tff(f4001,plain,
    ( $false
    | spl196_1 ),
    inference(resolution,[],[f3995,f2644]) ).

tff(f3995,plain,
    ( ~ hBOOL(hoare_1239590103gleton)
    | spl196_1 ),
    inference(avatar_component_clause,[],[f3993]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SWW474_2 : TPTP v8.2.0. Released v5.3.0.
% 0.00/0.10  % Command    : run_vampire %s %d SAT
% 0.09/0.30  % Computer : n029.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Wed Jun 19 09:09:54 EDT 2024
% 0.09/0.31  % CPUTime    : 
% 0.16/0.32  This is a TF0_THM_EQU_NAR problem
% 0.16/0.32  Running first-order model finding
% 0.16/0.32  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44  % (9201)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.44  % (9203)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.18/0.44  % (9201)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.44  % (9205)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.18/0.44  % (9201)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.44  % (9208)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.18/0.44  % (9201)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.44  % (9204)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.18/0.44  % (9201)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.44  % (9206)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.18/0.44  % (9201)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.44  % (9202)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.18/0.44  % (9201)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.44  % (9207)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.18/0.49  % (9206)Instruction limit reached!
% 0.18/0.49  % (9206)------------------------------
% 0.18/0.49  % (9206)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.49  % (9206)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.49  % (9206)Termination reason: Time limit
% 0.18/0.49  % (9206)Termination phase: Saturation
% 0.18/0.49  
% 0.18/0.49  % (9206)Memory used [KB]: 3658
% 0.18/0.49  % (9206)Time elapsed: 0.053 s
% 0.18/0.49  % (9206)Instructions burned: 105 (million)
% 0.18/0.49  % (9208)Instruction limit reached!
% 0.18/0.49  % (9208)------------------------------
% 0.18/0.49  % (9208)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.49  % (9208)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.49  % (9208)Termination reason: Time limit
% 0.18/0.49  % (9208)Termination phase: Saturation
% 0.18/0.49  
% 0.18/0.49  % (9208)Memory used [KB]: 3576
% 0.18/0.49  % (9208)Time elapsed: 0.053 s
% 0.18/0.49  % (9208)Instructions burned: 116 (million)
% 0.18/0.51  % (9207)Instruction limit reached!
% 0.18/0.51  % (9207)------------------------------
% 0.18/0.51  % (9207)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.51  % (9207)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.51  % (9207)Termination reason: Time limit
% 0.18/0.51  % (9207)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (9207)Memory used [KB]: 4112
% 0.18/0.51  % (9207)Time elapsed: 0.073 s
% 0.18/0.51  % (9207)Instructions burned: 146 (million)
% 0.18/0.55  % (9201)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.55  % (9209)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.18/0.55  % (9201)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.55  % (9210)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.18/0.57  % (9201)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.57  % (9211)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.72/0.63  % (9210)Instruction limit reached!
% 1.72/0.63  % (9210)------------------------------
% 1.72/0.63  % (9210)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.72/0.63  % (9210)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.72/0.63  % (9210)Termination reason: Time limit
% 1.72/0.63  % (9210)Termination phase: Saturation
% 1.72/0.63  
% 1.72/0.63  % (9210)Memory used [KB]: 4694
% 1.72/0.63  % (9210)Time elapsed: 0.087 s
% 1.72/0.63  % (9210)Instructions burned: 175 (million)
% 1.90/0.69  % (9201)Running in auto input_syntax mode. Trying TPTP
% 1.90/0.69  % (9212)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 1.90/0.72  % (9211)Instruction limit reached!
% 1.90/0.72  % (9211)------------------------------
% 1.90/0.72  % (9211)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.90/0.72  % (9211)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.90/0.72  % (9211)Termination reason: Time limit
% 1.90/0.72  % (9211)Termination phase: Saturation
% 1.90/0.72  
% 1.90/0.72  % (9211)Memory used [KB]: 5707
% 1.90/0.72  % (9211)Time elapsed: 0.149 s
% 1.90/0.72  % (9211)Instructions burned: 270 (million)
% 2.48/0.75  % (9209)Instruction limit reached!
% 2.48/0.75  % (9209)------------------------------
% 2.48/0.75  % (9209)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.48/0.75  % (9209)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.48/0.75  % (9209)Termination reason: Time limit
% 2.48/0.75  % (9209)Termination phase: Saturation
% 2.48/0.75  
% 2.48/0.75  % (9209)Memory used [KB]: 5200
% 2.48/0.75  % (9209)Time elapsed: 0.202 s
% 2.48/0.75  % (9209)Instructions burned: 405 (million)
% 2.48/0.78  % (9201)Running in auto input_syntax mode. Trying TPTP
% 2.48/0.78  % (9213)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2996ds/7859Mi)
% 2.78/0.81  % (9201)Running in auto input_syntax mode. Trying TPTP
% 2.78/0.81  % (9214)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2996ds/2145Mi)
% 3.98/1.14  % (9212)Instruction limit reached!
% 3.98/1.14  % (9212)------------------------------
% 3.98/1.14  % (9212)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.98/1.14  % (9212)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.98/1.14  % (9212)Termination reason: Time limit
% 3.98/1.14  % (9212)Termination phase: Saturation
% 3.98/1.14  
% 3.98/1.14  % (9212)Memory used [KB]: 8816
% 3.98/1.14  % (9212)Time elapsed: 0.469 s
% 3.98/1.14  % (9212)Instructions burned: 900 (million)
% 5.79/1.20  % (9201)Running in auto input_syntax mode. Trying TPTP
% 5.79/1.20  % (9215)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2992ds/1187Mi)
% 10.21/1.84  % (9215)Instruction limit reached!
% 10.21/1.84  % (9215)------------------------------
% 10.21/1.84  % (9215)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.21/1.84  % (9215)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.21/1.84  % (9215)Termination reason: Time limit
% 10.21/1.84  % (9215)Termination phase: Saturation
% 10.21/1.84  
% 10.21/1.84  % (9215)Memory used [KB]: 7153
% 10.21/1.84  % (9215)Time elapsed: 0.661 s
% 10.21/1.84  % (9215)Instructions burned: 1188 (million)
% 10.21/1.91  % (9201)Running in auto input_syntax mode. Trying TPTP
% 10.21/1.91  % (9216)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2985ds/23580Mi)
% 11.23/2.00  % (9214)Instruction limit reached!
% 11.23/2.00  % (9214)------------------------------
% 11.23/2.00  % (9214)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.23/2.00  % (9214)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.23/2.00  % (9214)Termination reason: Time limit
% 11.23/2.00  % (9214)Termination phase: Saturation
% 11.23/2.00  
% 11.23/2.00  % (9214)Memory used [KB]: 14775
% 11.23/2.00  % (9214)Time elapsed: 1.201 s
% 11.23/2.00  % (9214)Instructions burned: 2145 (million)
% 11.23/2.07  % (9201)Running in auto input_syntax mode. Trying TPTP
% 11.23/2.07  % (9217)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2983ds/2892Mi)
% 20.58/3.34  % (9217)Instruction limit reached!
% 20.58/3.34  % (9217)------------------------------
% 20.58/3.34  % (9217)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 20.58/3.34  % (9217)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 20.58/3.34  % (9217)Termination reason: Time limit
% 20.58/3.34  % (9217)Termination phase: Finite model building preprocessing
% 20.58/3.34  
% 20.58/3.34  % (9217)Memory used [KB]: 30488
% 20.58/3.34  % (9217)Time elapsed: 1.273 s
% 20.58/3.34  % (9217)Instructions burned: 2896 (million)
% 21.20/3.41  % (9201)Running in auto input_syntax mode. Trying TPTP
% 21.20/3.41  % (9218)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2970ds/1693Mi)
% 26.74/4.20  % (9213)Instruction limit reached!
% 26.74/4.20  % (9213)------------------------------
% 26.74/4.20  % (9213)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 26.74/4.20  % (9213)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 26.74/4.20  % (9213)Termination reason: Time limit
% 26.74/4.20  % (9213)Termination phase: Finite model building preprocessing
% 26.74/4.20  
% 26.74/4.20  % (9213)Memory used [KB]: 65414
% 26.74/4.20  % (9213)Time elapsed: 3.424 s
% 26.74/4.20  % (9213)Instructions burned: 7859 (million)
% 27.04/4.27  % (9201)Running in auto input_syntax mode. Trying TPTP
% 27.04/4.27  % (9219)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2961ds/1735Mi)
% 27.04/4.30  % (9218)Instruction limit reached!
% 27.04/4.30  % (9218)------------------------------
% 27.04/4.30  % (9218)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 27.04/4.30  % (9218)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 27.04/4.30  % (9218)Termination reason: Time limit
% 27.04/4.30  % (9218)Termination phase: Saturation
% 27.04/4.30  
% 27.04/4.30  % (9218)Memory used [KB]: 9975
% 27.04/4.30  % (9218)Time elapsed: 0.917 s
% 27.04/4.30  % (9218)Instructions burned: 1694 (million)
% 27.59/4.36  % (9201)Running in auto input_syntax mode. Trying TPTP
% 27.59/4.36  % (9220)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2960ds/131798Mi)
% 29.08/4.62  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 29.08/4.62  Detected maximum model sizes of [max,max,max,max,max,2,max,max,max,max,max,max,max,max,max]
% 29.08/4.62  Cannot represent all propositional literals internally
% 29.08/4.62  % (9205)Refutation not found, incomplete strategy% (9205)------------------------------
% 29.08/4.62  % (9205)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 29.08/4.62  % (9205)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 29.08/4.62  % (9205)Termination reason: Refutation not found, incomplete strategy
% 29.08/4.62  
% 29.08/4.62  % (9205)Memory used [KB]: 93748
% 29.08/4.62  % (9205)Time elapsed: 4.189 s
% 29.08/4.62  % (9205)Instructions burned: 11893 (million)
% 29.08/4.63  % (9205)------------------------------
% 29.08/4.63  % (9205)------------------------------
% 29.39/4.70  % (9201)Running in auto input_syntax mode. Trying TPTP
% 29.39/4.70  % (9221)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2957ds/3451Mi)
% 33.36/5.13  % (9219)Instruction limit reached!
% 33.36/5.13  % (9219)------------------------------
% 33.36/5.13  % (9219)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 33.36/5.13  % (9219)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 33.36/5.13  % (9219)Termination reason: Time limit
% 33.36/5.13  % (9219)Termination phase: Saturation
% 33.36/5.13  
% 33.36/5.13  % (9219)Memory used [KB]: 15291
% 33.36/5.13  % (9219)Time elapsed: 0.859 s
% 33.36/5.13  % (9219)Instructions burned: 1736 (million)
% 33.36/5.19  % (9201)Running in auto input_syntax mode. Trying TPTP
% 33.36/5.19  % (9222)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2952ds/3978Mi)
% 36.56/5.60  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 36.56/5.60  Detected maximum model sizes of [max,max,max,max,max,2,max,max,max,max,max,max,max,max,max]
% 36.56/5.60  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 36.56/5.65  TRYING [1,1,1,1,1,1,1,1,1,1,2,1,1,1,1]
% 36.56/5.67  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 36.56/5.67  Detected maximum model sizes of [max,max,max,max,max,2,max,max,max,max,max,max,max,max,max]
% 37.17/5.68  TRYING [1,1,1,1,1,1,1,1,1,1,2,2,1,1,1]
% 37.51/5.73  TRYING [1,1,1,1,1,1,1,1,1,1,3,2,1,1,1]
% 37.51/5.76  TRYING [1,1,1,1,1,1,1,1,1,1,3,3,1,1,1]
% 38.14/5.81  TRYING [1,1,1,1,1,1,2,1,1,1,3,3,1,1,1]
% 38.14/5.86  TRYING [1,1,1,1,1,2,2,1,1,1,3,3,1,1,1]
% 38.77/5.93  % (9221)Instruction limit reached!
% 38.77/5.93  % (9221)------------------------------
% 38.77/5.93  % (9221)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 38.77/5.93  % (9221)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 38.77/5.93  % (9221)Termination reason: Time limit
% 38.77/5.93  % (9221)Termination phase: Finite model building preprocessing
% 38.77/5.93  
% 38.77/5.93  % (9221)Memory used [KB]: 34514
% 38.77/5.93  % (9221)Time elapsed: 1.236 s
% 38.77/5.93  % (9221)Instructions burned: 3452 (million)
% 38.77/5.93  TRYING [1,1,1,1,1,2,2,1,1,1,3,3,1,1,2]
% 39.36/5.99  % (9201)Running in auto input_syntax mode. Trying TPTP
% 39.36/5.99  % (9223)dis+35_1:64_to=lpo:sil=32000:sp=occurrence:urr=on:sac=on:i=33091:fsr=off_0 on theBenchmark for (2944ds/33091Mi)
% 39.42/6.00  TRYING [1,1,1,1,1,2,2,1,1,2,3,3,1,1,2]
% 39.45/6.09  TRYING [1,1,1,1,1,2,2,1,2,2,3,3,1,1,2]
% 40.02/6.17  TRYING [1,1,1,1,2,2,2,1,2,2,3,3,1,1,2]
% 40.56/6.28  TRYING [1,1,2,1,2,2,2,1,2,2,3,3,1,1,2]
% 41.83/6.40  TRYING [1,1,2,1,2,2,2,2,2,2,3,3,1,1,2]
% 43.00/6.55  TRYING [1,1,3,1,2,2,2,2,2,2,3,3,1,1,2]
% 44.38/6.71  TRYING [1,1,3,1,2,2,3,2,2,2,3,3,1,1,2]
% 45.83/6.93  % (9222)Instruction limit reached!
% 45.83/6.93  % (9222)------------------------------
% 45.83/6.93  % (9222)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 45.83/6.93  % (9222)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 45.83/6.93  % (9222)Termination reason: Time limit
% 45.83/6.93  % (9222)Termination phase: Saturation
% 45.83/6.93  
% 45.83/6.93  % (9222)Memory used [KB]: 14009
% 45.83/6.93  % (9222)Time elapsed: 1.739 s
% 45.83/6.93  % (9222)Instructions burned: 3979 (million)
% 45.83/6.95  TRYING [1,2,3,1,2,2,3,2,2,2,3,3,1,1,2]
% 45.83/6.98  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 45.83/6.98  Detected maximum model sizes of [max,max,max,max,max,2,max,max,max,max,max,max,max,max,max]
% 45.83/6.98  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 45.83/7.00  % (9201)Running in auto input_syntax mode. Trying TPTP
% 45.83/7.00  % (9224)dis-4_1:1_sil=16000:sp=const_frequency:sac=on:newcnf=on:i=9564_0 on theBenchmark for (2934ds/9564Mi)
% 46.43/7.03  TRYING [1,1,1,1,1,1,1,1,1,1,2,1,1,1,1]
% 46.43/7.07  TRYING [1,1,1,1,1,1,1,1,1,1,2,2,1,1,1]
% 46.95/7.11  TRYING [1,1,1,1,1,1,1,1,1,1,3,2,1,1,1]
% 46.95/7.16  TRYING [1,1,1,1,1,1,1,1,1,1,3,3,1,1,1]
% 46.95/7.20  TRYING [1,3,3,1,2,2,3,2,2,2,3,3,1,1,2]
% 47.84/7.21  TRYING [1,1,1,1,1,1,2,1,1,1,3,3,1,1,1]
% 48.02/7.28  TRYING [1,1,1,1,1,2,2,1,1,1,3,3,1,1,1]
% 49.16/7.39  TRYING [1,1,1,1,1,2,2,1,1,1,3,3,1,1,2]
% 49.78/7.48  TRYING [2,3,3,1,2,2,3,2,2,2,3,3,1,1,2]
% 49.86/7.50  TRYING [1,1,1,1,1,2,2,1,1,2,3,3,1,1,2]
% 50.75/7.62  TRYING [1,1,1,1,1,2,2,1,2,2,3,3,1,1,2]
% 51.27/7.76  TRYING [1,1,1,1,2,2,2,1,2,2,3,3,1,1,2]
% 52.88/7.94  TRYING [1,1,2,1,2,2,2,1,2,2,3,3,1,1,2]
% 54.33/8.18  TRYING [1,1,3,1,2,2,2,1,2,2,3,3,1,1,2]
% 55.47/8.36  TRYING [2,3,4,1,2,2,3,2,2,2,3,3,1,1,2]
% 56.45/8.43  TRYING [1,1,2,1,2,2,2,2,2,2,3,3,1,1,2]
% 57.45/8.64  TRYING [1,1,2,1,2,2,3,2,2,2,3,3,1,1,2]
% 58.54/8.78  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 58.54/8.78  Detected maximum model sizes of [max,1,max,max,max,max,max,max,max,max,max,max,max,max,5,max,max,max,max,max,1,max,1,max,max,max,max,max,max,1,max,max,max,max,max,max,1,max,max,max,max,1,max,max,1,max,1,max,max,max,max,max,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,max,max,max,2,max,max,max,max,max,1,1,1,1,1,1,1,1,1,1,1,max,max,max,max,max,1,1,max,2,max,2,3,max,3,max,3,3,max,max,max,max,1,max,max,1,1,max,max,max,max,max,max,max,max,max,max,max,max,1,1,1,1,1,max,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,1,max,max,max,max,max,max,max,1,max,max,max,2]
% 59.06/8.87  TRYING [4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4]
% 59.06/8.88  TRYING [1,1,4,1,2,2,2,1,2,2,3,3,1,1,2]
% 60.58/9.08  TRYING [2,3,4,1,2,2,3,2,2,2,3,3,2,1,2]
% 60.58/9.12  TRYING [1,2,4,1,2,2,2,1,2,2,3,3,1,1,2]
% 62.69/9.39  TRYING [1,1,2,1,2,2,4,2,2,2,3,3,1,1,2]
% 65.38/9.74  TRYING [1,3,4,1,2,2,2,1,2,2,3,3,1,1,2]
% 65.38/9.74  TRYING [2,3,4,2,2,2,3,2,2,2,3,3,2,1,2]
% 67.44/10.05  TRYING [2,3,4,1,2,2,2,1,2,2,3,3,1,1,2]
% 69.63/10.33  % (9224)Instruction limit reached!
% 69.63/10.33  % (9224)------------------------------
% 69.63/10.33  % (9224)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 69.63/10.33  % (9224)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 69.63/10.33  % (9224)Termination reason: Time limit
% 69.63/10.33  % (9224)Termination phase: Saturation
% 69.63/10.33  
% 69.63/10.33  % (9224)Memory used [KB]: 37004
% 69.63/10.33  % (9224)Time elapsed: 3.345 s
% 69.63/10.33  % (9224)Instructions burned: 9564 (million)
% 69.63/10.37  % (9201)Running in auto input_syntax mode. Trying TPTP
% 69.63/10.37  % (9462)fmb+10_1:1_sil=64000:i=50409:nm=2:gsp=on_0 on theBenchmark for (2900ds/50409Mi)
% 70.27/10.44  TRYING [2,4,4,2,2,2,3,2,2,2,3,3,2,1,2]
% 71.30/10.60  TRYING [1,1,3,1,2,2,4,2,2,2,3,3,1,1,2]
% 72.08/10.79  % (9216)Instruction limit reached!
% 72.08/10.79  % (9216)------------------------------
% 72.08/10.79  % (9216)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 72.08/10.79  % (9216)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 72.08/10.79  % (9216)Termination reason: Time limit
% 72.08/10.79  % (9216)Termination phase: Finite model building SAT solving
% 72.08/10.79  
% 72.08/10.79  % (9216)Memory used [KB]: 104418
% 72.08/10.79  % (9216)Time elapsed: 8.906 s
% 72.08/10.79  % (9216)Instructions burned: 23582 (million)
% 72.67/10.84  % (9201)Running in auto input_syntax mode. Trying TPTP
% 72.67/10.84  % (9463)dis+2_3:1_bsr=on:sil=64000:abs=on:i=10852:gsp=on:fs=off:fsr=off_0 on theBenchmark for (2895ds/10852Mi)
% 75.36/11.21  TRYING [3,4,4,2,2,2,3,2,2,2,3,3,2,1,2]
% 82.42/12.18  TRYING [3,4,4,2,2,2,3,2,2,2,4,3,2,1,2]
% 86.49/12.77  TRYING [4,4,4,4,4,4,4,4,4,4,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4]
% 87.83/12.92  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 87.83/12.92  Detected maximum model sizes of [max,max,max,max,max,2,max,max,max,max,max,max,max,max,max]
% 87.83/12.92  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 87.95/12.94  TRYING [1,1,1,1,1,1,1,1,1,1,2,1,1,1,1]
% 87.95/12.97  TRYING [1,1,1,1,1,1,1,1,1,1,2,2,1,1,1]
% 87.95/12.99  TRYING [1,1,1,1,1,1,1,1,1,1,3,2,1,1,1]
% 87.95/13.01  TRYING [1,1,1,1,1,1,1,1,1,1,3,3,1,1,1]
% 88.62/13.04  TRYING [1,1,1,1,1,1,2,1,1,1,3,3,1,1,1]
% 88.62/13.08  TRYING [1,1,1,1,1,2,2,1,1,1,3,3,1,1,1]
% 89.15/13.14  TRYING [1,1,1,1,1,2,2,1,1,1,3,3,1,1,2]
% 89.15/13.15  TRYING [3,4,4,2,2,2,3,2,2,2,5,3,2,1,2]
% 89.95/13.21  TRYING [1,1,1,1,1,2,2,1,1,2,3,3,1,1,2]
% 90.09/13.28  TRYING [1,1,1,1,1,2,2,1,2,2,3,3,1,1,2]
% 90.73/13.36  TRYING [1,1,1,1,2,2,2,1,2,2,3,3,1,1,2]
% 91.36/13.47  TRYING [1,1,2,1,2,2,2,1,2,2,3,3,1,1,2]
% 92.03/13.60  TRYING [1,1,3,1,2,2,2,1,2,2,3,3,1,1,2]
% 93.39/13.76  TRYING [1,1,4,1,2,2,2,1,2,2,3,3,1,1,2]
% 94.84/13.92  % (9463)Instruction limit reached!
% 94.84/13.92  % (9463)------------------------------
% 94.84/13.92  % (9463)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 94.84/13.92  % (9463)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 94.84/13.92  % (9463)Termination reason: Time limit
% 94.84/13.92  % (9463)Termination phase: Saturation
% 94.84/13.92  
% 94.84/13.92  % (9463)Memory used [KB]: 70143
% 94.84/13.92  % (9463)Time elapsed: 3.085 s
% 94.84/13.92  % (9463)Instructions burned: 10852 (million)
% 94.84/13.97  TRYING [1,2,4,1,2,2,2,1,2,2,3,3,1,1,2]
% 94.84/13.97  % (9201)Running in auto input_syntax mode. Trying TPTP
% 94.84/13.97  % (9464)dis+11_61:31_bsr=unit_only:sil=16000:sp=frequency:rp=on:newcnf=on:i=11327:uhcvi=on:rawr=on:abs=on:lsd=5:add=off_0 on theBenchmark for (2864ds/11327Mi)
% 96.30/14.13  TRYING [3,4,4,2,2,2,3,2,2,2,6,3,2,1,2]
% 96.30/14.20  TRYING [1,3,4,1,2,2,2,1,2,2,3,3,1,1,2]
% 98.33/14.46  TRYING [2,3,4,1,2,2,2,1,2,2,3,3,1,1,2]
% 101.76/14.95  TRYING [2,4,4,1,2,2,2,1,2,2,3,3,1,1,2]
% 103.36/15.16  TRYING [3,4,4,2,2,2,3,2,2,2,7,3,2,1,2]
% 104.53/15.29  TRYING [10,10,10,10,10,10,10,10,10,10,10,10,10,10,10]
% 107.66/15.77  TRYING [3,4,4,1,2,2,2,1,2,2,3,3,1,1,2]
% 112.71/16.46  % (9223)Instruction limit reached!
% 112.71/16.46  % (9223)------------------------------
% 112.71/16.46  % (9223)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 112.71/16.46  % (9223)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 112.71/16.46  % (9223)Termination reason: Time limit
% 112.71/16.46  % (9223)Termination phase: Saturation
% 112.71/16.46  
% 112.71/16.46  % (9223)Memory used [KB]: 157106
% 112.71/16.46  % (9223)Time elapsed: 10.468 s
% 112.71/16.46  % (9223)Instructions burned: 33092 (million)
% 113.25/16.55  % (9201)Running in auto input_syntax mode. Trying TPTP
% 113.25/16.55  % (9787)fmb+10_1:1_fmbas=expand:sil=128000:i=17908:nm=2:fmbss=15:gsp=on_0 on theBenchmark for (2839ds/17908Mi)
% 114.28/16.74  TRYING [3,4,4,2,2,2,3,2,2,2,8,3,2,1,2]
% 116.44/17.01  TRYING [4,4,4,1,2,2,2,1,2,2,3,3,1,1,2]
% 122.24/17.86  TRYING [4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4]
% 126.25/18.40  TRYING [3,4,4,2,2,2,3,2,2,2,9,3,2,1,2]
% 128.18/18.74  TRYING [3,4,5,1,2,2,2,1,2,2,3,3,1,1,2]
% 129.04/18.82  % (9464)Instruction limit reached!
% 129.04/18.82  % (9464)------------------------------
% 129.04/18.82  % (9464)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 129.04/18.82  % (9464)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 129.04/18.82  % (9464)Termination reason: Time limit
% 129.04/18.82  % (9464)Termination phase: Saturation
% 129.04/18.82  
% 129.04/18.82  % (9464)Memory used [KB]: 67017
% 129.04/18.82  % (9464)Time elapsed: 4.848 s
% 129.04/18.82  % (9464)Instructions burned: 11328 (million)
% 129.31/18.89  % (9201)Running in auto input_syntax mode. Trying TPTP
% 129.31/18.89  % (9788)dis+11_1:1_anc=all:sil=64000:rp=on:newcnf=on:i=22636:alpa=false:atotf=0.1:gs=on_0 on theBenchmark for (2815ds/22636Mi)
% 137.37/20.03  TRYING [3,4,4,1,2,2,3,1,2,2,3,3,1,1,2]
% 138.20/20.18  TRYING [3,4,4,2,2,2,3,2,2,2,10,3,2,1,2]
% 145.86/21.21  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 145.88/21.21  Detected maximum model sizes of [max,1,max,max,max,max,max,max,max,max,max,max,max,max,5,max,max,max,max,max,1,max,1,max,max,max,max,max,max,1,max,max,max,max,max,max,1,max,max,max,max,1,max,max,1,max,1,max,max,max,max,max,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,max,max,max,2,max,max,max,max,max,1,1,1,1,1,1,1,1,1,1,1,max,max,max,max,max,1,1,max,2,max,2,3,max,3,max,3,3,max,max,max,max,1,max,max,1,1,max,max,max,max,max,max,max,max,max,max,max,max,1,1,1,1,1,max,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,1,max,max,max,max,max,max,max,1,max,max,max,2]
% 147.20/21.44  TRYING [3,4,4,1,2,2,2,2,2,2,3,3,1,1,2]
% 151.27/22.08  TRYING [3,4,4,2,2,2,3,2,2,2,11,3,2,1,2]
% 156.18/22.69  TRYING [3,4,4,1,2,2,3,2,2,2,3,3,1,1,2]
% 163.34/23.80  % (9787)Instruction limit reached!
% 163.34/23.80  % (9787)------------------------------
% 163.34/23.80  % (9787)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 163.34/23.80  % (9787)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 163.34/23.80  % (9787)Termination reason: Time limit
% 163.34/23.80  % (9787)Termination phase: Finite model building constraint generation
% 163.34/23.80  
% 163.34/23.80  % (9787)Memory used [KB]: 87006
% 163.34/23.80  % (9787)Time elapsed: 7.175 s
% 163.34/23.80  % (9787)Instructions burned: 17908 (million)
% 164.69/23.94  % (9201)Running in auto input_syntax mode. Trying TPTP
% 164.69/23.94  % (9789)fmb+10_1:1_i=30223_0 on theBenchmark for (2765ds/30223Mi)
% 164.69/23.96  TRYING [4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4]
% 165.28/24.09  TRYING [3,4,4,2,2,2,3,2,2,2,12,3,2,1,2]
% 166.48/24.25  TRYING [4,4,5,1,2,2,2,1,2,2,3,3,1,1,2]
% 179.58/26.11  TRYING [4,4,5,1,2,2,2,1,2,2,4,3,1,1,2]
% 180.22/26.16  TRYING [3,4,4,2,2,2,3,2,3,2,12,3,2,1,2]
% 191.97/27.82  TRYING [5,4,5,1,2,2,2,1,2,2,4,3,1,1,2]
% 192.67/27.92  % (9462)Instruction limit reached!
% 192.67/27.92  % (9462)------------------------------
% 192.67/27.92  % (9462)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 192.67/27.92  % (9462)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 192.67/27.92  % (9462)Termination reason: Time limit
% 192.67/27.92  % (9462)Termination phase: Finite model building constraint generation
% 192.67/27.92  
% 192.67/27.92  % (9462)Memory used [KB]: 123672
% 192.67/27.92  % (9462)Time elapsed: 17.540 s
% 192.67/27.92  % (9462)Instructions burned: 50409 (million)
% 192.67/27.99  % (9201)Running in auto input_syntax mode. Trying TPTP
% 192.67/27.99  % (9790)ott+11_8:1_sil=64000:i=37350:fsr=off:bsr=unit_only:newcnf=on_0 on theBenchmark for (2724ds/37350Mi)
% 192.67/27.99  TRYING [3,4,4,2,2,2,3,2,3,2,13,3,2,1,2]
% 195.06/28.34  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 195.06/28.34  Detected maximum model sizes of [max,max,max,max,max,2,max,max,max,max,max,max,max,max,max]
% 195.06/28.35  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 195.06/28.38  TRYING [1,1,1,1,1,1,1,1,1,1,2,1,1,1,1]
% 195.64/28.41  TRYING [1,1,1,1,1,1,1,1,1,1,2,2,1,1,1]
% 195.64/28.44  TRYING [1,1,1,1,1,1,1,1,1,1,3,2,1,1,1]
% 195.64/28.47  TRYING [1,1,1,1,1,1,1,1,1,1,3,3,1,1,1]
% 196.25/28.50  TRYING [1,1,1,1,1,1,2,1,1,1,3,3,1,1,1]
% 196.97/28.55  TRYING [1,1,1,1,1,2,2,1,1,1,3,3,1,1,1]
% 196.97/28.57  % (9788)Instruction limit reached!
% 196.97/28.57  % (9788)------------------------------
% 196.97/28.57  % (9788)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 196.97/28.57  % (9788)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 196.97/28.57  % (9788)Termination reason: Time limit
% 196.97/28.57  % (9788)Termination phase: Saturation
% 196.97/28.57  
% 196.97/28.57  % (9788)Memory used [KB]: 117685
% 196.97/28.57  % (9788)Time elapsed: 9.679 s
% 196.97/28.57  % (9788)Instructions burned: 22636 (million)
% 196.97/28.58  % (9202)Instruction limit reached!
% 196.97/28.58  % (9202)------------------------------
% 196.97/28.58  % (9202)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 196.97/28.58  % (9202)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 196.97/28.58  % (9202)Termination reason: Time limit
% 196.97/28.58  % (9202)Termination phase: Finite model building constraint generation
% 196.97/28.58  
% 196.97/28.58  % (9202)Memory used [KB]: 3068386
% 196.97/28.58  % (9202)Time elapsed: 28.153 s
% 196.97/28.58  % (9202)Instructions burned: 98887 (million)
% 197.59/28.62  % (9201)Running in auto input_syntax mode. Trying TPTP
% 197.59/28.62  % (9791)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency:i=80557_0 on theBenchmark for (2718ds/80557Mi)
% 197.59/28.63  TRYING [1,1,1,1,1,2,2,1,1,1,3,3,1,1,2]
% 198.07/28.72  TRYING [1,1,1,1,1,2,2,1,1,2,3,3,1,1,2]
% 198.72/28.82  TRYING [1,1,1,1,1,2,2,1,2,2,3,3,1,1,2]
% 198.79/28.91  TRYING [1,1,1,1,2,2,2,1,2,2,3,3,1,1,2]
% 199.87/29.04  TRYING [1,1,2,1,2,2,2,1,2,2,3,3,1,1,2]
% 201.24/29.15  % (9201)Running in auto input_syntax mode. Trying TPTP
% 201.24/29.15  % (9792)fmb+10_1:1_sil=128000:fmbss=21:newcnf=on:i=44200:gsp=on_0 on theBenchmark for (2712ds/44200Mi)
% 201.24/29.20  TRYING [1,1,3,1,2,2,2,1,2,2,3,3,1,1,2]
% 202.72/29.39  TRYING [1,1,4,1,2,2,2,1,2,2,3,3,1,1,2]
% 203.89/29.65  TRYING [3,4,4,2,2,2,3,2,3,2,14,3,2,1,2]
% 203.89/29.67  TRYING [1,2,4,1,2,2,2,1,2,2,3,3,1,1,2]
% 206.16/29.86  TRYING [4,4,4,4,4,4,4,4,4,4,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4]
% 206.59/29.93  TRYING [1,3,4,1,2,2,2,1,2,2,3,3,1,1,2]
% 208.27/30.22  TRYING [2,3,4,1,2,2,2,1,2,2,3,3,1,1,2]
% 212.78/30.78  TRYING [2,4,4,1,2,2,2,1,2,2,3,3,1,1,2]
% 217.14/31.41  TRYING [3,4,4,1,2,2,2,1,2,2,3,3,1,1,2]
% 217.25/31.43  TRYING [3,4,4,2,2,2,3,2,3,2,15,3,2,1,2]
% 219.94/31.87  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 219.94/31.87  Detected maximum model sizes of [max,max,max,max,max,2,max,max,max,max,max,max,max,max,max]
% 219.94/31.87  Cannot represent all propositional literals internally
% 219.94/31.87  % (9792)Refutation not found, incomplete strategy% (9792)------------------------------
% 219.94/31.87  % (9792)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 219.94/31.87  % (9792)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 219.94/31.87  % (9792)Termination reason: Refutation not found, incomplete strategy
% 219.94/31.87  
% 219.94/31.87  % (9792)Memory used [KB]: 94935
% 219.94/31.87  % (9792)Time elapsed: 2.723 s
% 219.94/31.87  % (9792)Instructions burned: 12048 (million)
% 219.94/31.87  % (9792)------------------------------
% 219.94/31.87  % (9792)------------------------------
% 220.62/31.92  % (9201)Running in auto input_syntax mode. Trying TPTP
% 220.62/31.92  % (10018)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity:i=55207_0 on theBenchmark for (2684ds/55207Mi)
% 222.45/32.24  TRYING [4,4,4,1,2,2,2,1,2,2,3,3,1,1,2]
% 231.43/33.47  TRYING [3,4,5,1,2,2,2,1,2,2,3,3,1,1,2]
% 232.01/33.52  % (9789)Instruction limit reached!
% 232.01/33.52  % (9789)------------------------------
% 232.01/33.52  % (9789)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 232.01/33.52  % (9789)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 232.01/33.52  % (9789)Termination reason: Time limit
% 232.01/33.52  % (9789)Termination phase: Finite model building constraint generation
% 232.01/33.52  
% 232.01/33.52  % (9789)Memory used [KB]: 118342
% 232.01/33.52  % (9789)Time elapsed: 9.575 s
% 232.01/33.52  % (9789)Instructions burned: 30223 (million)
% 232.01/33.57  % (9201)Running in auto input_syntax mode. Trying TPTP
% 232.01/33.57  % (10019)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0:i=81447_0 on theBenchmark for (2668ds/81447Mi)
% 232.42/33.60  TRYING [3,4,4,2,2,2,3,2,3,2,16,3,2,1,2]
% 237.05/34.29  TRYING [4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4]
% 247.43/35.78  TRYING [3,4,4,2,2,2,3,2,3,2,17,3,2,1,2]
% 259.12/37.41  % (9791)First to succeed.
% 259.12/37.41  % (9791)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9201"
% 259.12/37.43  % (9201)Running in auto input_syntax mode. Trying TPTP
% 259.12/37.43  % (9791)Refutation found. Thanks to Tanya!
% 259.12/37.43  % SZS status Theorem for theBenchmark
% 259.12/37.43  % SZS output start Proof for theBenchmark
% See solution above
% 259.12/37.43  % (9791)------------------------------
% 259.12/37.43  % (9791)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 259.12/37.43  % (9791)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 259.12/37.43  % (9791)Termination reason: Refutation
% 259.12/37.43  
% 259.12/37.43  % (9791)Memory used [KB]: 127597
% 259.12/37.43  % (9791)Time elapsed: 8.815 s
% 259.12/37.43  % (9791)Instructions burned: 29721 (million)
% 259.12/37.43  % (9791)------------------------------
% 259.12/37.43  % (9791)------------------------------
% 259.12/37.43  % (9201)Success in time 36.972 s
%------------------------------------------------------------------------------