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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP142^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:10:51 AM UTC 2026

% Result   : Theorem 1.51s 0.51s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   24 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :  111 (  31 equ;   0 cnn)
%            Maximal formula atoms :    5 (   4 avg)
%            Number of connectives :  250 (  16   ~;  11   |;   5   &; 209   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :   41 (  40 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  561 ( 558 usr;  15 con; 0-7 aty)
%            Number of variables   :   17 (   0   ^;  17   !;   0   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    set_Pr1696918727_state: $tType ).

thf(type_def_6,type,
    produc270545127_state: $tType ).

thf(type_def_7,type,
    set_Pr541394119_state: $tType ).

thf(type_def_8,type,
    produc2046512871_state: $tType ).

thf(type_def_9,type,
    set_Pr1847866567_state: $tType ).

thf(type_def_10,type,
    produc1519776487_state: $tType ).

thf(type_def_11,type,
    set_Pr1325664839_state: $tType ).

thf(type_def_12,type,
    produc1586269031_state: $tType ).

thf(type_def_13,type,
    set_Pr2096893127_state: $tType ).

thf(type_def_14,type,
    produc186437863_state: $tType ).

thf(type_def_15,type,
    set_Pr1419004359_state: $tType ).

thf(type_def_16,type,
    set_Pr135335153st_com: $tType ).

thf(type_def_17,type,
    produc392316135_state: $tType ).

thf(type_def_18,type,
    produc1440412305st_com: $tType ).

thf(type_def_19,type,
    set_Pr1142642759_state: $tType ).

thf(type_def_20,type,
    set_Pr2083163591st_com: $tType ).

thf(type_def_21,type,
    list_P1627643054te_nat: $tType ).

thf(type_def_22,type,
    produc1225889383_state: $tType ).

thf(type_def_23,type,
    produc1762014951st_com: $tType ).

thf(type_def_24,type,
    list_P890094829_state: $tType ).

thf(type_def_25,type,
    set_Pr1165141447_state: $tType ).

thf(type_def_26,type,
    produc410756839_state: $tType ).

thf(type_def_27,type,
    set_Pr391631483_state: $tType ).

thf(type_def_28,type,
    list_P1178430914te_nat: $tType ).

thf(type_def_29,type,
    produc1393453339_state: $tType ).

thf(type_def_30,type,
    produc2058209240st_com: $tType ).

thf(type_def_31,type,
    set_Pr602326075st_com: $tType ).

thf(type_def_32,type,
    list_P1040014977_state: $tType ).

thf(type_def_33,type,
    set_Pr849496667_state: $tType ).

thf(type_def_34,type,
    produc258871771st_com: $tType ).

thf(type_def_35,type,
    produc2041926651_state: $tType ).

thf(type_def_36,type,
    set_Pr1822651163om_com: $tType ).

thf(type_def_37,type,
    product_prod_com_com: $tType ).

thf(type_def_38,type,
    list_list_com: $tType ).

thf(type_def_39,type,
    list_state: $tType ).

thf(type_def_40,type,
    set_state: $tType ).

thf(type_def_41,type,
    list_com: $tType ).

thf(type_def_42,type,
    state: $tType ).

thf(type_def_43,type,
    com: $tType ).

thf(type_def_44,type,
    nat: $tType ).

thf(type_def_45,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    append_list_com: list_list_com > list_list_com > list_list_com ).

thf(func_def_1,type,
    append_com: list_com > list_com > list_com ).

thf(func_def_2,type,
    append982487830_state: list_P1040014977_state > list_P1040014977_state > list_P1040014977_state ).

thf(func_def_3,type,
    append221843330_state: list_P890094829_state > list_P890094829_state > list_P890094829_state ).

thf(func_def_4,type,
    bind_com_com: list_com > ( com > list_com ) > list_com ).

thf(func_def_5,type,
    butlast_com: list_com > list_com ).

thf(func_def_6,type,
    concat_com: list_list_com > list_com ).

thf(func_def_7,type,
    insert_com: com > list_com > list_com ).

thf(func_def_8,type,
    last_com: list_com > com ).

thf(func_def_9,type,
    lenlex_com: set_Pr1822651163om_com > set_Pr602326075st_com ).

thf(func_def_10,type,
    lenlex295247238_state: set_Pr1165141447_state > set_Pr1142642759_state ).

thf(func_def_11,type,
    lenlex1401983474_state: set_Pr2096893127_state > set_Pr1325664839_state ).

thf(func_def_12,type,
    lex_com: set_Pr1822651163om_com > set_Pr602326075st_com ).

thf(func_def_13,type,
    lex_Pr570247525_state: set_Pr1165141447_state > set_Pr1142642759_state ).

thf(func_def_14,type,
    lex_Pr1762629969_state: set_Pr2096893127_state > set_Pr1325664839_state ).

thf(func_def_15,type,
    lexord_com: set_Pr1822651163om_com > set_Pr602326075st_com ).

thf(func_def_16,type,
    lexord1062073966_state: set_Pr1165141447_state > set_Pr1142642759_state ).

thf(func_def_17,type,
    lexord1893203674_state: set_Pr2096893127_state > set_Pr1325664839_state ).

thf(func_def_18,type,
    cons_P1821701106te_nat: ( produc2041926651_state > nat ) > list_P1178430914te_nat > list_P1178430914te_nat ).

thf(func_def_19,type,
    cons_P1631380062te_nat: ( produc410756839_state > nat ) > list_P1627643054te_nat > list_P1627643054te_nat ).

thf(func_def_20,type,
    cons_list_com: list_com > list_list_com > list_list_com ).

thf(func_def_21,type,
    cons_com: com > list_com > list_com ).

thf(func_def_22,type,
    cons_state: state > list_state > list_state ).

thf(func_def_23,type,
    cons_P465369265_state: produc2041926651_state > list_P1040014977_state > list_P1040014977_state ).

thf(func_def_24,type,
    cons_P438230685_state: produc410756839_state > list_P890094829_state > list_P890094829_state ).

thf(func_def_25,type,
    nil_Pr1876916290te_nat: list_P1178430914te_nat ).

thf(func_def_26,type,
    nil_Pr164089518te_nat: list_P1627643054te_nat ).

thf(func_def_27,type,
    nil_list_com: list_list_com ).

thf(func_def_28,type,
    nil_com: list_com ).

thf(func_def_29,type,
    nil_state: list_state ).

thf(func_def_30,type,
    nil_Pr1844458753_state: list_P1040014977_state ).

thf(func_def_31,type,
    nil_Pr1347322605_state: list_P890094829_state ).

thf(func_def_32,type,
    list_ex1_com: ( com > $o ) > list_com > $o ).

thf(func_def_33,type,
    list_update_com: list_com > nat > com > list_com ).

thf(func_def_34,type,
    list_u737668969_state: list_P1040014977_state > nat > produc2041926651_state > list_P1040014977_state ).

thf(func_def_35,type,
    list_u364351829_state: list_P890094829_state > nat > produc410756839_state > list_P890094829_state ).

thf(func_def_36,type,
    listrel1_com: set_Pr1822651163om_com > set_Pr602326075st_com ).

thf(func_def_37,type,
    listre1738592858_state: set_Pr1165141447_state > set_Pr1142642759_state ).

thf(func_def_38,type,
    listre1725776070_state: set_Pr2096893127_state > set_Pr1325664839_state ).

thf(func_def_39,type,
    listre1268245261_state: set_Pr849496667_state > set_Pr391631483_state ).

thf(func_def_40,type,
    listrel_com_com: set_Pr1822651163om_com > set_Pr602326075st_com ).

thf(func_def_41,type,
    listre194873521_state: set_Pr1165141447_state > set_Pr1142642759_state ).

thf(func_def_42,type,
    listre1244407729_state: set_Pr2096893127_state > set_Pr1325664839_state ).

thf(func_def_43,type,
    maps_com_com: ( com > list_com ) > list_com > list_com ).

thf(func_def_44,type,
    measur1071343867_state: list_P1178430914te_nat > set_Pr1165141447_state ).

thf(func_def_45,type,
    measur768621543_state: list_P1627643054te_nat > set_Pr2096893127_state ).

thf(func_def_46,type,
    nth_list_com: list_list_com > nat > list_com ).

thf(func_def_47,type,
    nth_com: list_com > nat > com ).

thf(func_def_48,type,
    nth_state: list_state > nat > state ).

thf(func_def_49,type,
    nth_Pr553241858_state: list_P1040014977_state > nat > produc2041926651_state ).

thf(func_def_50,type,
    nth_Pr526167918_state: list_P890094829_state > nat > produc410756839_state ).

thf(func_def_51,type,
    product_lists_com: list_list_com > list_list_com ).

thf(func_def_52,type,
    rotate1_com: list_com > list_com ).

thf(func_def_53,type,
    subseqs_com: list_com > list_list_com ).

thf(func_def_54,type,
    take_P558217449_state: nat > list_P1040014977_state > list_P1040014977_state ).

thf(func_def_55,type,
    take_P1852316373_state: nat > list_P890094829_state > list_P890094829_state ).

thf(func_def_56,type,
    size_s318434721st_com: list_list_com > nat ).

thf(func_def_57,type,
    size_size_list_com: list_com > nat ).

thf(func_def_58,type,
    size_size_list_state: list_state > nat ).

thf(func_def_59,type,
    size_s213202669_state: list_P1040014977_state > nat ).

thf(func_def_60,type,
    size_s837829465_state: list_P890094829_state > nat ).

thf(func_def_61,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_62,type,
    pHoare259243666_exec1: set_Pr1165141447_state ).

thf(func_def_63,type,
    pHoare259243732_execs: state > list_com > state > $o ).

thf(func_def_64,type,
    pHoare806997636termis: list_com > state > $o ).

thf(func_def_65,type,
    cond: ( state > $o ) > com > com > com ).

thf(func_def_66,type,
    do: ( state > set_state ) > com ).

thf(func_def_67,type,
    semi: com > com > com ).

thf(func_def_68,type,
    while: ( state > $o ) > com > com ).

thf(func_def_69,type,
    exec: state > com > state > $o ).

thf(func_def_70,type,
    termi: com > state > $o ).

thf(func_def_71,type,
    produc1914379986st_com: ( com > com > $o ) > list_com > produc2058209240st_com ).

thf(func_def_72,type,
    produc1742567891_state: list_list_com > list_state > produc1393453339_state ).

thf(func_def_73,type,
    produc1307105171st_com: list_com > list_com > produc258871771st_com ).

thf(func_def_74,type,
    produc1204172211_state: list_com > state > produc2041926651_state ).

thf(func_def_75,type,
    produc1298457559_state: list_P1040014977_state > list_P1040014977_state > produc1225889383_state ).

thf(func_def_76,type,
    produc1354769367_state: list_P890094829_state > list_P890094829_state > produc1586269031_state ).

thf(func_def_77,type,
    product_Pair_com_com: com > com > product_prod_com_com ).

thf(func_def_78,type,
    produc67337417st_com: produc2058209240st_com > produc2058209240st_com > produc1440412305st_com ).

thf(func_def_79,type,
    produc67381847_state: produc1393453339_state > produc1393453339_state > produc392316135_state ).

thf(func_def_80,type,
    produc313736791st_com: produc258871771st_com > produc258871771st_com > produc1762014951st_com ).

thf(func_def_81,type,
    produc1909270103_state: produc2041926651_state > produc2041926651_state > produc410756839_state ).

thf(func_def_82,type,
    produc984060759_state: produc1225889383_state > produc1225889383_state > produc1519776487_state ).

thf(func_def_83,type,
    produc1576663895_state: produc1586269031_state > produc1586269031_state > produc270545127_state ).

thf(func_def_84,type,
    produc2065881943_state: produc410756839_state > produc410756839_state > produc186437863_state ).

thf(func_def_85,type,
    produc2049704791_state: produc186437863_state > produc186437863_state > produc2046512871_state ).

thf(func_def_86,type,
    irrefl_com: set_Pr1822651163om_com > $o ).

thf(func_def_87,type,
    irrefl654089520_state: set_Pr1165141447_state > $o ).

thf(func_def_88,type,
    irrefl1358048924_state: set_Pr2096893127_state > $o ).

thf(func_def_89,type,
    collect_state: ( state > $o ) > set_state ).

thf(func_def_90,type,
    collec300063826_state: ( produc410756839_state > $o ) > set_Pr1165141447_state ).

thf(func_def_91,type,
    collec489924946_state: ( produc186437863_state > $o ) > set_Pr2096893127_state ).

thf(func_def_92,type,
    transi436345274st_com: set_Pr602326075st_com > set_Pr602326075st_com ).

thf(func_def_93,type,
    transi339813252_state: set_Pr1142642759_state > set_Pr1142642759_state ).

thf(func_def_94,type,
    transi1965148016_state: set_Pr1325664839_state > set_Pr1325664839_state ).

thf(func_def_95,type,
    transi863150634cl_com: set_Pr1822651163om_com > set_Pr1822651163om_com ).

thf(func_def_96,type,
    transi1592315797st_com: set_Pr135335153st_com > set_Pr135335153st_com ).

thf(func_def_97,type,
    transi89280670_state: set_Pr1419004359_state > set_Pr1419004359_state ).

thf(func_def_98,type,
    transi1782245470st_com: set_Pr2083163591st_com > set_Pr2083163591st_com ).

thf(func_def_99,type,
    transi1302705790_state: set_Pr1165141447_state > set_Pr1165141447_state ).

thf(func_def_100,type,
    transi1428749162_state: set_Pr1847866567_state > set_Pr1847866567_state ).

thf(func_def_101,type,
    transi445721450_state: set_Pr1696918727_state > set_Pr1696918727_state ).

thf(func_def_102,type,
    transi463013610_state: set_Pr2096893127_state > set_Pr2096893127_state ).

thf(func_def_103,type,
    transi152726506_state: set_Pr541394119_state > set_Pr541394119_state ).

thf(func_def_104,type,
    member_state: state > set_state > $o ).

thf(func_def_105,type,
    member1442949316_state: produc1393453339_state > set_Pr391631483_state > $o ).

thf(func_def_106,type,
    member32358020st_com: produc258871771st_com > set_Pr602326075st_com > $o ).

thf(func_def_107,type,
    member64234660_state: produc2041926651_state > set_Pr849496667_state > $o ).

thf(func_def_108,type,
    member1267359376_state: produc1225889383_state > set_Pr1142642759_state > $o ).

thf(func_def_109,type,
    member423306384_state: produc1586269031_state > set_Pr1325664839_state > $o ).

thf(func_def_110,type,
    member1333916004om_com: product_prod_com_com > set_Pr1822651163om_com > $o ).

thf(func_def_111,type,
    member89779770st_com: produc1440412305st_com > set_Pr135335153st_com > $o ).

thf(func_def_112,type,
    member1414265872_state: produc392316135_state > set_Pr1419004359_state > $o ).

thf(func_def_113,type,
    member919914512st_com: produc1762014951st_com > set_Pr2083163591st_com > $o ).

thf(func_def_114,type,
    member1069318160_state: produc410756839_state > set_Pr1165141447_state > $o ).

thf(func_def_115,type,
    member2092727056_state: produc1519776487_state > set_Pr1847866567_state > $o ).

thf(func_def_116,type,
    member1642814224_state: produc270545127_state > set_Pr1696918727_state > $o ).

thf(func_def_117,type,
    member512523024_state: produc186437863_state > set_Pr2096893127_state > $o ).

thf(func_def_118,type,
    member284400400_state: produc2046512871_state > set_Pr541394119_state > $o ).

thf(func_def_119,type,
    c: com ).

thf(func_def_120,type,
    c2: com ).

thf(func_def_121,type,
    cs: list_com ).

thf(func_def_122,type,
    s: state ).

thf(func_def_123,type,
    s2: state ).

thf(func_def_127,type,
    vAND: $o > $o > $o ).

thf(func_def_128,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_129,type,
    vIMP: $o > $o > $o ).

thf(func_def_130,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_131,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_132,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_133,type,
    vNOT: $o > $o ).

thf(func_def_134,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_135,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_136,type,
    vOR: $o > $o > $o ).

thf(func_def_137,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_138,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_139,type,
    db7: 
      !>[X0: $tType] : X0 ).

thf(func_def_140,type,
    db6: 
      !>[X0: $tType] : X0 ).

thf(func_def_141,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_142,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_143,type,
    sP0: com > list_com > list_com > state > ( state > $o ) > state > $o ).

thf(func_def_144,type,
    sP1: list_com > list_com > state > ( state > $o ) > state > $o ).

thf(func_def_145,type,
    sK2: ( list_P890094829_state > list_P890094829_state > $o ) > set_Pr1696918727_state > list_P890094829_state > list_P890094829_state > list_P890094829_state ).

thf(func_def_146,type,
    sK3: ( list_P890094829_state > list_P890094829_state > $o ) > set_Pr1696918727_state > list_P890094829_state > list_P890094829_state > list_P890094829_state ).

thf(func_def_147,type,
    sK4: ( list_P890094829_state > list_P890094829_state > $o ) > set_Pr1696918727_state > list_P890094829_state > list_P890094829_state > list_P890094829_state ).

thf(func_def_148,type,
    sK5: ( list_P890094829_state > list_P890094829_state > $o ) > set_Pr1696918727_state > list_P890094829_state > list_P890094829_state > list_P890094829_state ).

thf(func_def_149,type,
    sK6: ( list_P1040014977_state > list_P1040014977_state > $o ) > set_Pr1847866567_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state ).

thf(func_def_150,type,
    sK7: ( list_P1040014977_state > list_P1040014977_state > $o ) > set_Pr1847866567_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state ).

thf(func_def_151,type,
    sK8: ( list_P1040014977_state > list_P1040014977_state > $o ) > set_Pr1847866567_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state ).

thf(func_def_152,type,
    sK9: ( list_P1040014977_state > list_P1040014977_state > $o ) > set_Pr1847866567_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state ).

thf(func_def_153,type,
    sK10: ( list_com > list_com > $o ) > set_Pr2083163591st_com > list_com > list_com > list_com ).

thf(func_def_154,type,
    sK11: ( list_com > list_com > $o ) > set_Pr2083163591st_com > list_com > list_com > list_com ).

thf(func_def_155,type,
    sK12: ( list_com > list_com > $o ) > set_Pr2083163591st_com > list_com > list_com > list_com ).

thf(func_def_156,type,
    sK13: ( list_com > list_com > $o ) > set_Pr2083163591st_com > list_com > list_com > list_com ).

thf(func_def_157,type,
    sK14: ( list_list_com > list_state > $o ) > set_Pr1419004359_state > list_state > list_list_com > list_list_com ).

thf(func_def_158,type,
    sK15: ( list_list_com > list_state > $o ) > set_Pr1419004359_state > list_state > list_list_com > list_state ).

thf(func_def_159,type,
    sK16: ( list_list_com > list_state > $o ) > set_Pr1419004359_state > list_state > list_list_com > list_list_com ).

thf(func_def_160,type,
    sK17: ( list_list_com > list_state > $o ) > set_Pr1419004359_state > list_state > list_list_com > list_state ).

thf(func_def_161,type,
    sK18: ( ( com > com > $o ) > list_com > $o ) > set_Pr135335153st_com > list_com > ( com > com > $o ) > com > com > $o ).

thf(func_def_162,type,
    sK19: ( ( com > com > $o ) > list_com > $o ) > set_Pr135335153st_com > list_com > ( com > com > $o ) > list_com ).

thf(func_def_163,type,
    sK20: ( ( com > com > $o ) > list_com > $o ) > set_Pr135335153st_com > list_com > ( com > com > $o ) > com > com > $o ).

thf(func_def_164,type,
    sK21: ( ( com > com > $o ) > list_com > $o ) > set_Pr135335153st_com > list_com > ( com > com > $o ) > list_com ).

thf(func_def_165,type,
    sK22: ( produc410756839_state > produc410756839_state > $o ) > set_Pr541394119_state > produc410756839_state > produc410756839_state > produc410756839_state ).

thf(func_def_166,type,
    sK23: ( produc410756839_state > produc410756839_state > $o ) > set_Pr541394119_state > produc410756839_state > produc410756839_state > produc410756839_state ).

thf(func_def_167,type,
    sK24: ( produc410756839_state > produc410756839_state > $o ) > set_Pr541394119_state > produc410756839_state > produc410756839_state > produc410756839_state ).

thf(func_def_168,type,
    sK25: ( produc410756839_state > produc410756839_state > $o ) > set_Pr541394119_state > produc410756839_state > produc410756839_state > produc410756839_state ).

thf(func_def_169,type,
    sK26: ( produc2041926651_state > produc2041926651_state > $o ) > set_Pr2096893127_state > produc2041926651_state > produc2041926651_state > produc2041926651_state ).

thf(func_def_170,type,
    sK27: ( produc2041926651_state > produc2041926651_state > $o ) > set_Pr2096893127_state > produc2041926651_state > produc2041926651_state > produc2041926651_state ).

thf(func_def_171,type,
    sK28: ( produc2041926651_state > produc2041926651_state > $o ) > set_Pr2096893127_state > produc2041926651_state > produc2041926651_state > produc2041926651_state ).

thf(func_def_172,type,
    sK29: ( produc2041926651_state > produc2041926651_state > $o ) > set_Pr2096893127_state > produc2041926651_state > produc2041926651_state > produc2041926651_state ).

thf(func_def_173,type,
    sK30: ( list_com > state > $o ) > set_Pr1165141447_state > state > list_com > list_com ).

thf(func_def_174,type,
    sK31: ( list_com > state > $o ) > set_Pr1165141447_state > state > list_com > state ).

thf(func_def_175,type,
    sK32: ( list_com > state > $o ) > set_Pr1165141447_state > state > list_com > list_com ).

thf(func_def_176,type,
    sK33: ( list_com > state > $o ) > set_Pr1165141447_state > state > list_com > state ).

thf(func_def_177,type,
    sK34: set_Pr1696918727_state > list_P890094829_state > list_P890094829_state > list_P890094829_state > list_P890094829_state > list_P890094829_state ).

thf(func_def_178,type,
    sK35: set_Pr1696918727_state > list_P890094829_state > list_P890094829_state > list_P890094829_state > list_P890094829_state > list_P890094829_state ).

thf(func_def_179,type,
    sK36: set_Pr1847866567_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state ).

thf(func_def_180,type,
    sK37: set_Pr1847866567_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state ).

thf(func_def_181,type,
    sK38: set_Pr2083163591st_com > list_com > list_com > list_com > list_com > list_com ).

thf(func_def_182,type,
    sK39: set_Pr2083163591st_com > list_com > list_com > list_com > list_com > list_com ).

thf(func_def_183,type,
    sK40: set_Pr1419004359_state > list_state > list_list_com > list_state > list_list_com > list_list_com ).

thf(func_def_184,type,
    sK41: set_Pr1419004359_state > list_state > list_list_com > list_state > list_list_com > list_state ).

thf(func_def_185,type,
    sK42: set_Pr135335153st_com > list_com > ( com > com > $o ) > list_com > ( com > com > $o ) > com > com > $o ).

thf(func_def_186,type,
    sK43: set_Pr135335153st_com > list_com > ( com > com > $o ) > list_com > ( com > com > $o ) > list_com ).

thf(func_def_187,type,
    sK44: set_Pr541394119_state > produc410756839_state > produc410756839_state > produc410756839_state > produc410756839_state > produc410756839_state ).

thf(func_def_188,type,
    sK45: set_Pr541394119_state > produc410756839_state > produc410756839_state > produc410756839_state > produc410756839_state > produc410756839_state ).

thf(func_def_189,type,
    sK46: set_Pr2096893127_state > produc2041926651_state > produc2041926651_state > produc2041926651_state > produc2041926651_state > produc2041926651_state ).

thf(func_def_190,type,
    sK47: set_Pr2096893127_state > produc2041926651_state > produc2041926651_state > produc2041926651_state > produc2041926651_state > produc2041926651_state ).

thf(func_def_191,type,
    sK48: set_Pr1165141447_state > state > list_com > state > list_com > list_com ).

thf(func_def_192,type,
    sK49: set_Pr1165141447_state > state > list_com > state > list_com > state ).

thf(func_def_193,type,
    sK50: ( list_P890094829_state > list_P890094829_state > $o ) > set_Pr1696918727_state > list_P890094829_state > list_P890094829_state > list_P890094829_state ).

thf(func_def_194,type,
    sK51: ( list_P890094829_state > list_P890094829_state > $o ) > set_Pr1696918727_state > list_P890094829_state > list_P890094829_state > list_P890094829_state ).

thf(func_def_195,type,
    sK52: ( list_P890094829_state > list_P890094829_state > $o ) > set_Pr1696918727_state > list_P890094829_state > list_P890094829_state > list_P890094829_state ).

thf(func_def_196,type,
    sK53: ( list_P890094829_state > list_P890094829_state > $o ) > set_Pr1696918727_state > list_P890094829_state > list_P890094829_state > list_P890094829_state ).

thf(func_def_197,type,
    sK54: ( list_P1040014977_state > list_P1040014977_state > $o ) > set_Pr1847866567_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state ).

thf(func_def_198,type,
    sK55: ( list_P1040014977_state > list_P1040014977_state > $o ) > set_Pr1847866567_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state ).

thf(func_def_199,type,
    sK56: ( list_P1040014977_state > list_P1040014977_state > $o ) > set_Pr1847866567_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state ).

thf(func_def_200,type,
    sK57: ( list_P1040014977_state > list_P1040014977_state > $o ) > set_Pr1847866567_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state ).

thf(func_def_201,type,
    sK58: ( list_com > list_com > $o ) > set_Pr2083163591st_com > list_com > list_com > list_com ).

thf(func_def_202,type,
    sK59: ( list_com > list_com > $o ) > set_Pr2083163591st_com > list_com > list_com > list_com ).

thf(func_def_203,type,
    sK60: ( list_com > list_com > $o ) > set_Pr2083163591st_com > list_com > list_com > list_com ).

thf(func_def_204,type,
    sK61: ( list_com > list_com > $o ) > set_Pr2083163591st_com > list_com > list_com > list_com ).

thf(func_def_205,type,
    sK62: ( list_list_com > list_state > $o ) > set_Pr1419004359_state > list_state > list_list_com > list_list_com ).

thf(func_def_206,type,
    sK63: ( list_list_com > list_state > $o ) > set_Pr1419004359_state > list_state > list_list_com > list_state ).

thf(func_def_207,type,
    sK64: ( list_list_com > list_state > $o ) > set_Pr1419004359_state > list_state > list_list_com > list_list_com ).

thf(func_def_208,type,
    sK65: ( list_list_com > list_state > $o ) > set_Pr1419004359_state > list_state > list_list_com > list_state ).

thf(func_def_209,type,
    sK66: ( ( com > com > $o ) > list_com > $o ) > set_Pr135335153st_com > list_com > ( com > com > $o ) > com > com > $o ).

thf(func_def_210,type,
    sK67: ( ( com > com > $o ) > list_com > $o ) > set_Pr135335153st_com > list_com > ( com > com > $o ) > list_com ).

thf(func_def_211,type,
    sK68: ( ( com > com > $o ) > list_com > $o ) > set_Pr135335153st_com > list_com > ( com > com > $o ) > com > com > $o ).

thf(func_def_212,type,
    sK69: ( ( com > com > $o ) > list_com > $o ) > set_Pr135335153st_com > list_com > ( com > com > $o ) > list_com ).

thf(func_def_213,type,
    sK70: ( produc410756839_state > produc410756839_state > $o ) > set_Pr541394119_state > produc410756839_state > produc410756839_state > produc410756839_state ).

thf(func_def_214,type,
    sK71: ( produc410756839_state > produc410756839_state > $o ) > set_Pr541394119_state > produc410756839_state > produc410756839_state > produc410756839_state ).

thf(func_def_215,type,
    sK72: ( produc410756839_state > produc410756839_state > $o ) > set_Pr541394119_state > produc410756839_state > produc410756839_state > produc410756839_state ).

thf(func_def_216,type,
    sK73: ( produc410756839_state > produc410756839_state > $o ) > set_Pr541394119_state > produc410756839_state > produc410756839_state > produc410756839_state ).

thf(func_def_217,type,
    sK74: ( produc2041926651_state > produc2041926651_state > $o ) > set_Pr2096893127_state > produc2041926651_state > produc2041926651_state > produc2041926651_state ).

thf(func_def_218,type,
    sK75: ( produc2041926651_state > produc2041926651_state > $o ) > set_Pr2096893127_state > produc2041926651_state > produc2041926651_state > produc2041926651_state ).

thf(func_def_219,type,
    sK76: ( produc2041926651_state > produc2041926651_state > $o ) > set_Pr2096893127_state > produc2041926651_state > produc2041926651_state > produc2041926651_state ).

thf(func_def_220,type,
    sK77: ( produc2041926651_state > produc2041926651_state > $o ) > set_Pr2096893127_state > produc2041926651_state > produc2041926651_state > produc2041926651_state ).

thf(func_def_221,type,
    sK78: ( list_com > state > $o ) > set_Pr1165141447_state > state > list_com > list_com ).

thf(func_def_222,type,
    sK79: ( list_com > state > $o ) > set_Pr1165141447_state > state > list_com > state ).

thf(func_def_223,type,
    sK80: ( list_com > state > $o ) > set_Pr1165141447_state > state > list_com > list_com ).

thf(func_def_224,type,
    sK81: ( list_com > state > $o ) > set_Pr1165141447_state > state > list_com > state ).

thf(func_def_225,type,
    sK82: produc410756839_state > produc2041926651_state ).

thf(func_def_226,type,
    sK83: produc410756839_state > list_com ).

thf(func_def_227,type,
    sK84: produc410756839_state > state ).

thf(func_def_228,type,
    sK85: produc186437863_state > produc410756839_state ).

thf(func_def_229,type,
    sK86: produc186437863_state > produc2041926651_state ).

thf(func_def_230,type,
    sK87: produc186437863_state > produc2041926651_state ).

thf(func_def_231,type,
    sK88: produc186437863_state > produc410756839_state ).

thf(func_def_232,type,
    sK89: produc186437863_state > produc2041926651_state ).

thf(func_def_233,type,
    sK90: produc186437863_state > list_com ).

thf(func_def_234,type,
    sK91: produc186437863_state > state ).

thf(func_def_235,type,
    sK92: produc2058209240st_com > com > com > $o ).

thf(func_def_236,type,
    sK93: produc2058209240st_com > com ).

thf(func_def_237,type,
    sK94: produc2058209240st_com > com ).

thf(func_def_238,type,
    sK95: produc2058209240st_com > list_com ).

thf(func_def_239,type,
    sK96: produc2058209240st_com > com > com > $o ).

thf(func_def_240,type,
    sK97: produc2058209240st_com > com ).

thf(func_def_241,type,
    sK98: produc2058209240st_com > com > com > $o ).

thf(func_def_242,type,
    sK99: produc2058209240st_com > com > com > $o ).

thf(func_def_243,type,
    sK100: produc2058209240st_com > com ).

thf(func_def_244,type,
    sK101: produc2058209240st_com > list_com ).

thf(func_def_245,type,
    sK102: produc2058209240st_com > com > com > $o ).

thf(func_def_246,type,
    sK103: produc258871771st_com > com ).

thf(func_def_247,type,
    sK104: produc258871771st_com > list_com ).

thf(func_def_248,type,
    sK105: produc258871771st_com > com ).

thf(func_def_249,type,
    sK106: produc258871771st_com > list_com ).

thf(func_def_250,type,
    sK107: produc258871771st_com > list_com ).

thf(func_def_251,type,
    sK108: produc258871771st_com > list_com ).

thf(func_def_252,type,
    sK109: produc258871771st_com > com ).

thf(func_def_253,type,
    sK110: produc258871771st_com > list_com ).

thf(func_def_254,type,
    sK111: produc258871771st_com > list_com ).

thf(func_def_255,type,
    sK112: produc258871771st_com > list_com ).

thf(func_def_256,type,
    sK113: ( produc410756839_state > $o ) > produc2041926651_state ).

thf(func_def_257,type,
    sK114: ( produc410756839_state > $o ) > produc2041926651_state ).

thf(func_def_258,type,
    sK115: ( produc2041926651_state > $o ) > list_com ).

thf(func_def_259,type,
    sK116: ( produc2041926651_state > $o ) > state ).

thf(func_def_260,type,
    sK117: ( produc186437863_state > $o ) > produc410756839_state ).

thf(func_def_261,type,
    sK118: ( produc186437863_state > $o ) > produc410756839_state ).

thf(func_def_262,type,
    sK119: produc410756839_state > produc2041926651_state ).

thf(func_def_263,type,
    sK120: produc410756839_state > produc2041926651_state ).

thf(func_def_264,type,
    sK121: produc2041926651_state > list_com ).

thf(func_def_265,type,
    sK122: produc2041926651_state > state ).

thf(func_def_266,type,
    sK123: produc186437863_state > produc410756839_state ).

thf(func_def_267,type,
    sK124: produc186437863_state > produc410756839_state ).

thf(func_def_268,type,
    sK125: ( produc410756839_state > $o ) > produc2041926651_state ).

thf(func_def_269,type,
    sK126: ( produc410756839_state > $o ) > produc2041926651_state ).

thf(func_def_270,type,
    sK127: ( produc2041926651_state > $o ) > list_com ).

thf(func_def_271,type,
    sK128: ( produc2041926651_state > $o ) > state ).

thf(func_def_272,type,
    sK129: ( produc186437863_state > $o ) > produc410756839_state ).

thf(func_def_273,type,
    sK130: ( produc186437863_state > $o ) > produc410756839_state ).

thf(func_def_274,type,
    sK131: produc410756839_state > produc2041926651_state ).

thf(func_def_275,type,
    sK132: produc410756839_state > produc2041926651_state ).

thf(func_def_276,type,
    sK133: produc2041926651_state > list_com ).

thf(func_def_277,type,
    sK134: produc2041926651_state > state ).

thf(func_def_278,type,
    sK135: produc186437863_state > produc410756839_state ).

thf(func_def_279,type,
    sK136: produc186437863_state > produc410756839_state ).

thf(func_def_280,type,
    sK137: ( ( com > com ) > list_com > list_com > $o ) > com > com ).

thf(func_def_281,type,
    sK138: ( ( com > com ) > list_com > list_com > $o ) > com ).

thf(func_def_282,type,
    sK139: ( ( com > com ) > list_com > list_com > $o ) > list_com ).

thf(func_def_283,type,
    sK140: ( ( com > com ) > list_com > list_com > $o ) > list_com ).

thf(func_def_284,type,
    sK141: ( ( com > com ) > list_com > list_com > $o ) > com > com ).

thf(func_def_285,type,
    sK142: ( ( com > com ) > list_com > list_com > $o ) > list_com ).

thf(func_def_286,type,
    sK143: ( list_com > $o ) > com ).

thf(func_def_287,type,
    sK144: ( list_com > $o ) > list_com ).

thf(func_def_288,type,
    sK145: ( list_com > $o ) > com ).

thf(func_def_289,type,
    sK146: ( ( com > com > $o ) > list_com > $o ) > com > com > $o ).

thf(func_def_290,type,
    sK147: ( ( com > com > $o ) > list_com > $o ) > com ).

thf(func_def_291,type,
    sK148: ( ( com > com > $o ) > list_com > $o ) > com ).

thf(func_def_292,type,
    sK149: ( ( com > com > $o ) > list_com > $o ) > list_com ).

thf(func_def_293,type,
    sK150: ( ( com > com > $o ) > list_com > $o ) > com > com > $o ).

thf(func_def_294,type,
    sK151: ( ( com > com > $o ) > list_com > $o ) > com ).

thf(func_def_295,type,
    sK152: ( ( com > com > $o ) > list_com > $o ) > com > com > $o ).

thf(func_def_296,type,
    sK153: ( list_com > $o ) > com ).

thf(func_def_297,type,
    sK154: ( list_com > $o ) > com ).

thf(func_def_298,type,
    sK155: ( list_com > $o ) > list_com ).

thf(func_def_299,type,
    sK156: ( list_com > $o ) > com ).

thf(func_def_300,type,
    sK157: ( ( com > com > $o ) > list_com > $o ) > com > com > $o ).

thf(func_def_301,type,
    sK158: ( ( com > com > $o ) > list_com > $o ) > com ).

thf(func_def_302,type,
    sK159: ( ( com > com > $o ) > list_com > $o ) > list_com ).

thf(func_def_303,type,
    sK160: ( ( com > com > $o ) > list_com > $o ) > com > com > $o ).

thf(func_def_304,type,
    sK161: list_com > com ).

thf(func_def_305,type,
    sK162: list_com > com ).

thf(func_def_306,type,
    sK163: list_com > list_com ).

thf(func_def_307,type,
    sK164: list_com > com ).

thf(func_def_308,type,
    sK165: list_list_com > com ).

thf(func_def_309,type,
    sK166: list_list_com > list_com ).

thf(func_def_310,type,
    sK167: list_list_com > list_list_com ).

thf(func_def_311,type,
    sK168: list_list_com > list_list_com ).

thf(func_def_312,type,
    sK169: ( list_com > list_com > $o ) > com ).

thf(func_def_313,type,
    sK170: ( list_com > list_com > $o ) > list_com ).

thf(func_def_314,type,
    sK171: ( list_com > list_com > $o ) > com ).

thf(func_def_315,type,
    sK172: ( list_com > list_com > $o ) > list_com ).

thf(func_def_316,type,
    sK173: ( list_com > list_com > $o ) > list_com ).

thf(func_def_317,type,
    sK174: ( list_com > list_com > $o ) > list_com ).

thf(func_def_318,type,
    sK175: ( list_com > $o ) > com ).

thf(func_def_319,type,
    sK176: ( list_com > $o ) > com ).

thf(func_def_320,type,
    sK177: ( list_com > $o ) > list_com ).

thf(func_def_321,type,
    sK178: ( list_com > $o ) > com ).

thf(func_def_322,type,
    sK179: ( list_com > list_com > $o ) > com ).

thf(func_def_323,type,
    sK180: ( list_com > list_com > $o ) > list_com ).

thf(func_def_324,type,
    sK181: ( list_com > list_com > $o ) > list_com ).

thf(func_def_325,type,
    sK182: ( list_com > list_com > $o ) > list_com ).

thf(func_def_326,type,
    sK183: ( list_com > list_com > $o ) > com ).

thf(func_def_327,type,
    sK184: ( list_com > list_com > $o ) > list_com ).

thf(func_def_328,type,
    sK185: ( list_com > list_com > $o ) > com ).

thf(func_def_329,type,
    sK186: ( list_com > list_com > $o ) > list_com ).

thf(func_def_330,type,
    sK187: ( list_com > list_com > $o ) > com ).

thf(func_def_331,type,
    sK188: ( list_com > list_com > $o ) > list_com ).

thf(func_def_332,type,
    sK189: ( list_com > list_com > $o ) > com ).

thf(func_def_333,type,
    sK190: ( list_com > list_com > $o ) > list_com ).

thf(func_def_334,type,
    sK191: ( list_com > $o ) > com ).

thf(func_def_335,type,
    sK192: ( list_com > $o ) > list_com ).

thf(func_def_336,type,
    sK193: list_com > com ).

thf(func_def_337,type,
    sK194: list_com > list_com ).

thf(func_def_338,type,
    sK195: ( state > list_com > state > $o ) > state ).

thf(func_def_339,type,
    sK196: ( state > list_com > state > $o ) > com ).

thf(func_def_340,type,
    sK197: ( state > list_com > state > $o ) > state ).

thf(func_def_341,type,
    sK198: ( state > list_com > state > $o ) > list_com ).

thf(func_def_342,type,
    sK199: ( state > list_com > state > $o ) > state ).

thf(func_def_343,type,
    sK200: ( state > list_com > state > $o ) > state ).

thf(func_def_344,type,
    sK201: state > list_com > state > com ).

thf(func_def_345,type,
    sK202: state > list_com > state > state ).

thf(func_def_346,type,
    sK203: state > list_com > state > list_com ).

thf(func_def_347,type,
    sK204: ( produc2041926651_state > $o ) > set_Pr1165141447_state > produc2041926651_state > produc2041926651_state ).

thf(func_def_348,type,
    sK205: ( produc2041926651_state > $o ) > set_Pr1165141447_state > produc2041926651_state > produc2041926651_state ).

thf(func_def_349,type,
    sK206: ( produc410756839_state > $o ) > set_Pr2096893127_state > produc410756839_state > produc410756839_state ).

thf(func_def_350,type,
    sK207: ( produc410756839_state > $o ) > set_Pr2096893127_state > produc410756839_state > produc410756839_state ).

thf(func_def_351,type,
    sK208: set_Pr1165141447_state > produc2041926651_state > produc2041926651_state > produc2041926651_state ).

thf(func_def_352,type,
    sK209: set_Pr2096893127_state > produc410756839_state > produc410756839_state > produc410756839_state ).

thf(func_def_353,type,
    sK210: ( produc2041926651_state > produc2041926651_state > $o ) > set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_354,type,
    sK211: ( produc2041926651_state > produc2041926651_state > $o ) > set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_355,type,
    sK212: ( produc2041926651_state > produc2041926651_state > $o ) > set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_356,type,
    sK213: ( produc2041926651_state > produc2041926651_state > $o ) > produc2041926651_state ).

thf(func_def_357,type,
    sK214: ( produc410756839_state > produc410756839_state > $o ) > set_Pr2096893127_state > produc410756839_state ).

thf(func_def_358,type,
    sK215: ( produc410756839_state > produc410756839_state > $o ) > set_Pr2096893127_state > produc410756839_state ).

thf(func_def_359,type,
    sK216: ( produc410756839_state > produc410756839_state > $o ) > set_Pr2096893127_state > produc410756839_state ).

thf(func_def_360,type,
    sK217: ( produc410756839_state > produc410756839_state > $o ) > produc410756839_state ).

thf(func_def_361,type,
    sK218: ( produc2041926651_state > $o ) > set_Pr1165141447_state > produc2041926651_state > produc2041926651_state ).

thf(func_def_362,type,
    sK219: ( produc2041926651_state > $o ) > set_Pr1165141447_state > produc2041926651_state > produc2041926651_state ).

thf(func_def_363,type,
    sK220: ( produc410756839_state > $o ) > set_Pr2096893127_state > produc410756839_state > produc410756839_state ).

thf(func_def_364,type,
    sK221: ( produc410756839_state > $o ) > set_Pr2096893127_state > produc410756839_state > produc410756839_state ).

thf(func_def_365,type,
    sK222: set_Pr1165141447_state > produc2041926651_state > produc2041926651_state > produc2041926651_state ).

thf(func_def_366,type,
    sK223: set_Pr2096893127_state > produc410756839_state > produc410756839_state > produc410756839_state ).

thf(func_def_367,type,
    sK224: set_Pr1165141447_state > produc2041926651_state > produc2041926651_state > produc2041926651_state ).

thf(func_def_368,type,
    sK225: set_Pr2096893127_state > produc410756839_state > produc410756839_state > produc410756839_state ).

thf(func_def_369,type,
    sK226: ( produc186437863_state > $o ) > produc410756839_state ).

thf(func_def_370,type,
    sK227: ( produc186437863_state > $o ) > produc2041926651_state ).

thf(func_def_371,type,
    sK228: ( produc186437863_state > $o ) > list_com ).

thf(func_def_372,type,
    sK229: ( produc186437863_state > $o ) > state ).

thf(func_def_373,type,
    sK230: ( produc410756839_state > $o ) > produc2041926651_state ).

thf(func_def_374,type,
    sK231: ( produc410756839_state > $o ) > list_com ).

thf(func_def_375,type,
    sK232: ( produc410756839_state > $o ) > state ).

thf(func_def_376,type,
    sK233: ( produc186437863_state > $o ) > produc410756839_state ).

thf(func_def_377,type,
    sK234: ( produc186437863_state > $o ) > produc2041926651_state ).

thf(func_def_378,type,
    sK235: ( produc186437863_state > $o ) > produc2041926651_state ).

thf(func_def_379,type,
    sK236: com > state > com > state ).

thf(func_def_380,type,
    sK237: com > state > ( state > $o ) > state ).

thf(func_def_381,type,
    sK238: ( list_com > list_com > $o ) > set_Pr1822651163om_com > com ).

thf(func_def_382,type,
    sK239: ( list_com > list_com > $o ) > set_Pr1822651163om_com > com ).

thf(func_def_383,type,
    sK240: ( list_com > list_com > $o ) > set_Pr1822651163om_com > list_com ).

thf(func_def_384,type,
    sK241: ( list_com > list_com > $o ) > set_Pr1822651163om_com > list_com ).

thf(func_def_385,type,
    sK242: ( list_P1040014977_state > list_P1040014977_state > $o ) > set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_386,type,
    sK243: ( list_P1040014977_state > list_P1040014977_state > $o ) > set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_387,type,
    sK244: ( list_P1040014977_state > list_P1040014977_state > $o ) > set_Pr1165141447_state > list_P1040014977_state ).

thf(func_def_388,type,
    sK245: ( list_P1040014977_state > list_P1040014977_state > $o ) > set_Pr1165141447_state > list_P1040014977_state ).

thf(func_def_389,type,
    sK246: ( list_list_com > list_state > $o ) > set_Pr849496667_state > list_com ).

thf(func_def_390,type,
    sK247: ( list_list_com > list_state > $o ) > set_Pr849496667_state > state ).

thf(func_def_391,type,
    sK248: ( list_list_com > list_state > $o ) > set_Pr849496667_state > list_list_com ).

thf(func_def_392,type,
    sK249: ( list_list_com > list_state > $o ) > set_Pr849496667_state > list_state ).

thf(func_def_393,type,
    sK250: ( list_P890094829_state > list_P890094829_state > $o ) > set_Pr2096893127_state > produc410756839_state ).

thf(func_def_394,type,
    sK251: ( list_P890094829_state > list_P890094829_state > $o ) > set_Pr2096893127_state > produc410756839_state ).

thf(func_def_395,type,
    sK252: ( list_P890094829_state > list_P890094829_state > $o ) > set_Pr2096893127_state > list_P890094829_state ).

thf(func_def_396,type,
    sK253: ( list_P890094829_state > list_P890094829_state > $o ) > set_Pr2096893127_state > list_P890094829_state ).

thf(func_def_397,type,
    sK254: ( list_com > $o ) > com ).

thf(func_def_398,type,
    sK255: ( list_com > $o ) > list_com ).

thf(func_def_399,type,
    sK256: list_com > list_com ).

thf(func_def_400,type,
    sK257: list_com > com ).

thf(func_def_401,type,
    sK258: ( list_com > $o ) > com ).

thf(func_def_402,type,
    sK259: ( list_com > $o ) > list_com ).

thf(func_def_403,type,
    sK260: ( list_com > $o ) > com ).

thf(func_def_404,type,
    sK261: set_Pr1822651163om_com > list_com > list_com > com > com ).

thf(func_def_405,type,
    sK262: set_Pr1822651163om_com > list_com > list_com > com > list_com ).

thf(func_def_406,type,
    sK263: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > produc2041926651_state > produc2041926651_state ).

thf(func_def_407,type,
    sK264: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > produc2041926651_state > list_P1040014977_state ).

thf(func_def_408,type,
    sK265: set_Pr849496667_state > list_state > list_list_com > list_com > state ).

thf(func_def_409,type,
    sK266: set_Pr849496667_state > list_state > list_list_com > list_com > list_state ).

thf(func_def_410,type,
    sK267: set_Pr2096893127_state > list_P890094829_state > list_P890094829_state > produc410756839_state > produc410756839_state ).

thf(func_def_411,type,
    sK268: set_Pr2096893127_state > list_P890094829_state > list_P890094829_state > produc410756839_state > list_P890094829_state ).

thf(func_def_412,type,
    sK269: set_Pr1822651163om_com > list_com > com > list_com > com ).

thf(func_def_413,type,
    sK270: set_Pr1822651163om_com > list_com > com > list_com > list_com ).

thf(func_def_414,type,
    sK271: set_Pr1165141447_state > list_P1040014977_state > produc2041926651_state > list_P1040014977_state > produc2041926651_state ).

thf(func_def_415,type,
    sK272: set_Pr1165141447_state > list_P1040014977_state > produc2041926651_state > list_P1040014977_state > list_P1040014977_state ).

thf(func_def_416,type,
    sK273: set_Pr849496667_state > list_state > state > list_list_com > list_com ).

thf(func_def_417,type,
    sK274: set_Pr849496667_state > list_state > state > list_list_com > list_list_com ).

thf(func_def_418,type,
    sK275: set_Pr2096893127_state > list_P890094829_state > produc410756839_state > list_P890094829_state > produc410756839_state ).

thf(func_def_419,type,
    sK276: set_Pr2096893127_state > list_P890094829_state > produc410756839_state > list_P890094829_state > list_P890094829_state ).

thf(func_def_420,type,
    sK277: set_Pr1822651163om_com > list_com > list_com > com ).

thf(func_def_421,type,
    sK278: set_Pr1822651163om_com > list_com > list_com > com ).

thf(func_def_422,type,
    sK279: set_Pr1822651163om_com > list_com > list_com > list_com ).

thf(func_def_423,type,
    sK280: set_Pr1822651163om_com > list_com > list_com > list_com ).

thf(func_def_424,type,
    sK281: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > produc2041926651_state ).

thf(func_def_425,type,
    sK282: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > produc2041926651_state ).

thf(func_def_426,type,
    sK283: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state ).

thf(func_def_427,type,
    sK284: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state ).

thf(func_def_428,type,
    sK285: set_Pr849496667_state > list_state > list_list_com > list_com ).

thf(func_def_429,type,
    sK286: set_Pr849496667_state > list_state > list_list_com > state ).

thf(func_def_430,type,
    sK287: set_Pr849496667_state > list_state > list_list_com > list_list_com ).

thf(func_def_431,type,
    sK288: set_Pr849496667_state > list_state > list_list_com > list_state ).

thf(func_def_432,type,
    sK289: set_Pr2096893127_state > list_P890094829_state > list_P890094829_state > produc410756839_state ).

thf(func_def_433,type,
    sK290: set_Pr2096893127_state > list_P890094829_state > list_P890094829_state > produc410756839_state ).

thf(func_def_434,type,
    sK291: set_Pr2096893127_state > list_P890094829_state > list_P890094829_state > list_P890094829_state ).

thf(func_def_435,type,
    sK292: set_Pr2096893127_state > list_P890094829_state > list_P890094829_state > list_P890094829_state ).

thf(func_def_436,type,
    sK293: set_Pr1822651163om_com > list_com > com > list_com > list_com ).

thf(func_def_437,type,
    sK294: set_Pr1822651163om_com > list_com > com > list_com > com ).

thf(func_def_438,type,
    sK295: set_Pr1165141447_state > list_P1040014977_state > produc2041926651_state > list_P1040014977_state > list_P1040014977_state ).

thf(func_def_439,type,
    sK296: set_Pr1165141447_state > list_P1040014977_state > produc2041926651_state > list_P1040014977_state > produc2041926651_state ).

thf(func_def_440,type,
    sK297: set_Pr2096893127_state > list_P890094829_state > produc410756839_state > list_P890094829_state > list_P890094829_state ).

thf(func_def_441,type,
    sK298: set_Pr2096893127_state > list_P890094829_state > produc410756839_state > list_P890094829_state > produc410756839_state ).

thf(func_def_442,type,
    sK299: set_Pr1822651163om_com > list_com > list_com > com > list_com ).

thf(func_def_443,type,
    sK300: set_Pr1822651163om_com > list_com > list_com > com > com ).

thf(func_def_444,type,
    sK301: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > produc2041926651_state > list_P1040014977_state ).

thf(func_def_445,type,
    sK302: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > produc2041926651_state > produc2041926651_state ).

thf(func_def_446,type,
    sK303: set_Pr2096893127_state > list_P890094829_state > list_P890094829_state > produc410756839_state > list_P890094829_state ).

thf(func_def_447,type,
    sK304: set_Pr2096893127_state > list_P890094829_state > list_P890094829_state > produc410756839_state > produc410756839_state ).

thf(func_def_448,type,
    sK305: list_com > list_com > list_list_com > list_list_com ).

thf(func_def_449,type,
    sK306: list_com > list_com > list_list_com > list_com ).

thf(func_def_450,type,
    sK307: list_com > list_com > list_list_com > list_com ).

thf(func_def_451,type,
    sK308: list_com > list_com > list_list_com > list_list_com ).

thf(func_def_452,type,
    sK309: set_Pr1822651163om_com > list_com > list_com > com ).

thf(func_def_453,type,
    sK310: set_Pr1822651163om_com > list_com > list_com > com ).

thf(func_def_454,type,
    sK311: set_Pr1822651163om_com > list_com > list_com > list_com ).

thf(func_def_455,type,
    sK312: set_Pr1822651163om_com > list_com > list_com > list_com ).

thf(func_def_456,type,
    sK313: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > produc2041926651_state ).

thf(func_def_457,type,
    sK314: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > produc2041926651_state ).

thf(func_def_458,type,
    sK315: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state ).

thf(func_def_459,type,
    sK316: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state ).

thf(func_def_460,type,
    sK317: set_Pr2096893127_state > list_P890094829_state > list_P890094829_state > produc410756839_state ).

thf(func_def_461,type,
    sK318: set_Pr2096893127_state > list_P890094829_state > list_P890094829_state > produc410756839_state ).

thf(func_def_462,type,
    sK319: set_Pr2096893127_state > list_P890094829_state > list_P890094829_state > list_P890094829_state ).

thf(func_def_463,type,
    sK320: set_Pr2096893127_state > list_P890094829_state > list_P890094829_state > list_P890094829_state ).

thf(func_def_464,type,
    sK321: set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_465,type,
    sK322: set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_466,type,
    sK323: set_Pr2096893127_state > produc410756839_state ).

thf(func_def_467,type,
    sK324: set_Pr2096893127_state > produc410756839_state ).

thf(func_def_468,type,
    sK325: set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_469,type,
    sK326: set_Pr2096893127_state > produc410756839_state ).

thf(func_def_470,type,
    sK327: set_Pr1822651163om_com > com ).

thf(func_def_471,type,
    sK328: set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_472,type,
    sK329: set_Pr2096893127_state > produc410756839_state ).

thf(func_def_473,type,
    sK330: list_com > list_com > list_com ).

thf(func_def_474,type,
    sK331: list_com > list_com > list_com ).

thf(func_def_475,type,
    sK332: list_com > list_com > list_com ).

thf(func_def_476,type,
    sK333: set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_477,type,
    sK334: set_Pr2096893127_state > produc410756839_state ).

thf(func_def_478,type,
    sK335: set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_479,type,
    sK336: set_Pr2096893127_state > produc410756839_state ).

thf(func_def_480,type,
    sK337: set_Pr1822651163om_com > com ).

thf(func_def_481,type,
    sK338: set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_482,type,
    sK339: set_Pr2096893127_state > produc410756839_state ).

thf(func_def_483,type,
    sK340: set_Pr1822651163om_com > com ).

thf(func_def_484,type,
    sK341: set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_485,type,
    sK342: set_Pr2096893127_state > produc410756839_state ).

thf(func_def_486,type,
    sK343: ( list_com > list_com > list_com > $o ) > com ).

thf(func_def_487,type,
    sK344: ( list_com > list_com > list_com > $o ) > list_com ).

thf(func_def_488,type,
    sK345: ( list_com > list_com > list_com > $o ) > com ).

thf(func_def_489,type,
    sK346: ( list_com > list_com > list_com > $o ) > list_com ).

thf(func_def_490,type,
    sK347: ( list_com > list_com > list_com > $o ) > com ).

thf(func_def_491,type,
    sK348: ( list_com > list_com > list_com > $o ) > list_com ).

thf(func_def_492,type,
    sK349: ( list_com > list_com > $o ) > com ).

thf(func_def_493,type,
    sK350: ( list_com > list_com > $o ) > list_com ).

thf(func_def_494,type,
    sK351: ( list_com > list_com > $o ) > com ).

thf(func_def_495,type,
    sK352: ( list_com > list_com > $o ) > list_com ).

thf(func_def_496,type,
    sK353: list_com > list_com > list_com ).

thf(func_def_497,type,
    sK354: list_com > list_com > com ).

thf(func_def_498,type,
    sK355: list_com > list_com > list_com ).

thf(func_def_499,type,
    sK356: list_com > list_com > com ).

thf(func_def_500,type,
    sK357: list_com > list_com > list_com ).

thf(func_def_501,type,
    sK358: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > nat ).

thf(func_def_502,type,
    sK359: set_Pr2096893127_state > list_P890094829_state > list_P890094829_state > nat ).

thf(func_def_503,type,
    sK360: list_P890094829_state > list_P890094829_state > set_Pr2096893127_state > nat ).

thf(func_def_504,type,
    sK361: list_P890094829_state > list_P890094829_state > set_Pr2096893127_state > produc410756839_state ).

thf(func_def_505,type,
    sK362: list_P1040014977_state > list_P1040014977_state > set_Pr1165141447_state > nat ).

thf(func_def_506,type,
    sK363: list_P1040014977_state > list_P1040014977_state > set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_507,type,
    sK364: list_P890094829_state > list_P890094829_state > set_Pr2096893127_state > nat ).

thf(func_def_508,type,
    sK365: list_state > list_list_com > set_Pr849496667_state > nat ).

thf(func_def_509,type,
    sK366: list_P1040014977_state > list_P1040014977_state > set_Pr1165141447_state > nat ).

thf(func_def_510,type,
    sK367: list_com > list_com ).

thf(func_def_511,type,
    sK368: list_com > com ).

thf(func_def_512,type,
    sK369: list_com > list_list_com > list_com > list_list_com ).

thf(func_def_513,type,
    sK370: list_com > list_list_com > list_com > list_com ).

thf(func_def_514,type,
    sK371: list_com > list_list_com > list_com > list_com ).

thf(func_def_515,type,
    sK372: list_com > list_list_com > list_com > list_list_com ).

thf(func_def_516,type,
    sK373: list_P890094829_state > list_P890094829_state > set_Pr2096893127_state > list_P890094829_state ).

thf(func_def_517,type,
    sK374: list_P890094829_state > list_P890094829_state > set_Pr2096893127_state > list_P890094829_state ).

thf(func_def_518,type,
    sK375: list_P890094829_state > list_P890094829_state > set_Pr2096893127_state > produc410756839_state ).

thf(func_def_519,type,
    sK376: list_P890094829_state > list_P890094829_state > set_Pr2096893127_state > produc410756839_state ).

thf(func_def_520,type,
    sK377: list_P890094829_state > list_P890094829_state > set_Pr2096893127_state > list_P890094829_state ).

thf(func_def_521,type,
    sK378: list_P890094829_state > list_P890094829_state > set_Pr2096893127_state > produc410756839_state ).

thf(func_def_522,type,
    sK379: list_P890094829_state > list_P890094829_state > set_Pr2096893127_state > produc410756839_state ).

thf(func_def_523,type,
    sK380: list_state > list_list_com > set_Pr849496667_state > list_state ).

thf(func_def_524,type,
    sK381: list_state > list_list_com > set_Pr849496667_state > list_list_com ).

thf(func_def_525,type,
    sK382: list_state > list_list_com > set_Pr849496667_state > state ).

thf(func_def_526,type,
    sK383: list_state > list_list_com > set_Pr849496667_state > list_com ).

thf(func_def_527,type,
    sK384: list_state > list_list_com > set_Pr849496667_state > list_list_com ).

thf(func_def_528,type,
    sK385: list_state > list_list_com > set_Pr849496667_state > state ).

thf(func_def_529,type,
    sK386: list_state > list_list_com > set_Pr849496667_state > list_com ).

thf(func_def_530,type,
    sK387: list_P1040014977_state > list_P1040014977_state > set_Pr1165141447_state > list_P1040014977_state ).

thf(func_def_531,type,
    sK388: list_P1040014977_state > list_P1040014977_state > set_Pr1165141447_state > list_P1040014977_state ).

thf(func_def_532,type,
    sK389: list_P1040014977_state > list_P1040014977_state > set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_533,type,
    sK390: list_P1040014977_state > list_P1040014977_state > set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_534,type,
    sK391: list_P1040014977_state > list_P1040014977_state > set_Pr1165141447_state > list_P1040014977_state ).

thf(func_def_535,type,
    sK392: list_P1040014977_state > list_P1040014977_state > set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_536,type,
    sK393: list_P1040014977_state > list_P1040014977_state > set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_537,type,
    sK394: list_com > list_com > set_Pr1822651163om_com > list_com ).

thf(func_def_538,type,
    sK395: list_com > list_com > set_Pr1822651163om_com > list_com ).

thf(func_def_539,type,
    sK396: list_com > list_com > set_Pr1822651163om_com > com ).

thf(func_def_540,type,
    sK397: list_com > list_com > set_Pr1822651163om_com > com ).

thf(func_def_541,type,
    sK398: list_com > list_com > set_Pr1822651163om_com > list_com ).

thf(func_def_542,type,
    sK399: list_com > list_com > set_Pr1822651163om_com > com ).

thf(func_def_543,type,
    sK400: list_com > list_com > set_Pr1822651163om_com > com ).

thf(func_def_544,type,
    sK401: list_com > list_com > list_com > com > list_com ).

thf(func_def_545,type,
    sK402: list_com > list_com > com > list_com > list_com ).

thf(func_def_546,type,
    sK403: list_com > list_com > list_com > list_com > list_com ).

thf(func_def_547,type,
    sK404: produc410756839_state > produc410756839_state > set_Pr2096893127_state > produc410756839_state ).

thf(func_def_548,type,
    sK405: produc410756839_state > produc410756839_state > produc410756839_state ).

thf(func_def_549,type,
    sK406: produc410756839_state > produc410756839_state > set_Pr2096893127_state > produc410756839_state ).

thf(func_def_550,type,
    sK407: produc410756839_state > produc410756839_state > set_Pr2096893127_state > produc410756839_state ).

thf(func_def_551,type,
    sK408: produc410756839_state > produc410756839_state > set_Pr2096893127_state > produc410756839_state ).

thf(func_def_552,type,
    sK409: produc2041926651_state > produc2041926651_state > set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_553,type,
    sK410: produc2041926651_state > produc2041926651_state > produc2041926651_state ).

thf(func_def_554,type,
    sK411: produc2041926651_state > produc2041926651_state > set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_555,type,
    sK412: produc2041926651_state > produc2041926651_state > set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_556,type,
    sK413: produc2041926651_state > produc2041926651_state > set_Pr1165141447_state > produc2041926651_state ).

thf(func_def_557,type,
    sK414: list_com > list_com ).

thf(func_def_558,type,
    sK415: list_com > com ).

thf(func_def_559,type,
    sK416: list_com > state > com > state ).

thf(f355,axiom,
    member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( produc1204172211_state @ ( cons_com @ c2 @ cs ) @ s2 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f356,axiom,
    termi @ c @ s,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

thf(f357,axiom,
    ! [X0: state,X1: state] :
      ( ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ X0 ) @ ( produc1204172211_state @ ( cons_com @ c2 @ cs ) @ X1 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) )
     => ( ( termi @ c @ X0 )
       => ( ! [X2: state] :
              ( ( exec @ X1 @ c2 @ X2 )
             => ( pHoare806997636termis @ cs @ X2 ) )
          & ( termi @ c2 @ X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).

thf(f358,conjecture,
    termi @ c2 @ s2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).

thf(f359,negated_conjecture,
    ~ ( termi @ c2 @ s2 ),
    inference(negated_conjecture,[status(cth)],[f358]) ).

thf(f871,plain,
    member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( produc1204172211_state @ ( cons_com @ c2 @ cs ) @ s2 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ),
    inference(rectify,[],[f355]) ).

thf(f872,plain,
    ( ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( produc1204172211_state @ ( cons_com @ c2 @ cs ) @ s2 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) )
    = $true ),
    inference(fool_elimination,[],[f871]) ).

thf(f873,plain,
    termi @ c @ s,
    inference(rectify,[],[f356]) ).

thf(f874,plain,
    ( ( termi @ c @ s )
    = $true ),
    inference(fool_elimination,[],[f873]) ).

thf(f875,plain,
    ! [X0: state,X1: state] :
      ( ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ X0 ) @ ( produc1204172211_state @ ( cons_com @ c2 @ cs ) @ X1 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) )
     => ( ( termi @ c @ X0 )
       => ( ! [X2: state] :
              ( ( exec @ X1 @ c2 @ X2 )
             => ( pHoare806997636termis @ cs @ X2 ) )
          & ( termi @ c2 @ X1 ) ) ) ),
    inference(rectify,[],[f357]) ).

thf(f876,plain,
    ! [X0: state,X1: state] :
      ( ( ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ X0 ) @ ( produc1204172211_state @ ( cons_com @ c2 @ cs ) @ X1 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) )
        = $true )
     => ( ( ( termi @ c @ X0 )
          = $true )
       => ( ! [X2: state] :
              ( ( ( exec @ X1 @ c2 @ X2 )
                = $true )
             => ( ( pHoare806997636termis @ cs @ X2 )
                = $true ) )
          & ( ( termi @ c2 @ X1 )
            = $true ) ) ) ),
    inference(fool_elimination,[],[f875]) ).

thf(f877,plain,
    ~ ( termi @ c2 @ s2 ),
    inference(rectify,[],[f359]) ).

thf(f878,plain,
    ( ( termi @ c2 @ s2 )
   != $true ),
    inference(fool_elimination,[],[f877]) ).

thf(f954,plain,
    ( ( termi @ c2 @ s2 )
   != $true ),
    inference(flattening,[],[f878]) ).

thf(f1299,plain,
    ! [X0: state,X1: state] :
      ( ( ! [X2: state] :
            ( ( ( pHoare806997636termis @ cs @ X2 )
              = $true )
            | ( ( exec @ X1 @ c2 @ X2 )
             != $true ) )
        & ( ( termi @ c2 @ X1 )
          = $true ) )
      | ( ( termi @ c @ X0 )
       != $true )
      | ( ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ X0 ) @ ( produc1204172211_state @ ( cons_com @ c2 @ cs ) @ X1 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) )
       != $true ) ),
    inference(ennf_transformation,[],[f876]) ).

thf(f1300,plain,
    ! [X0: state,X1: state] :
      ( ( ! [X2: state] :
            ( ( ( pHoare806997636termis @ cs @ X2 )
              = $true )
            | ( ( exec @ X1 @ c2 @ X2 )
             != $true ) )
        & ( ( termi @ c2 @ X1 )
          = $true ) )
      | ( ( termi @ c @ X0 )
       != $true )
      | ( ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ X0 ) @ ( produc1204172211_state @ ( cons_com @ c2 @ cs ) @ X1 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) )
       != $true ) ),
    inference(flattening,[],[f1299]) ).

thf(f2044,plain,
    ( ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( produc1204172211_state @ ( cons_com @ c2 @ cs ) @ s2 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) )
    = $true ),
    inference(cnf_transformation,[],[f872]) ).

thf(f2045,plain,
    ( ( termi @ c @ s )
    = $true ),
    inference(cnf_transformation,[],[f874]) ).

thf(f2046,plain,
    ! [X0: state,X1: state] :
      ( ( ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ X0 ) @ ( produc1204172211_state @ ( cons_com @ c2 @ cs ) @ X1 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) )
       != $true )
      | ( ( termi @ c @ X0 )
       != $true )
      | ( ( termi @ c2 @ X1 )
        = $true ) ),
    inference(cnf_transformation,[],[f1300]) ).

thf(f2048,plain,
    ( ( termi @ c2 @ s2 )
   != $true ),
    inference(cnf_transformation,[],[f954]) ).

thf(f3366,plain,
    ( ( $true != $true )
    | ( ( termi @ c @ s )
     != $true )
    | ( ( termi @ c2 @ s2 )
      = $true ) ),
    inference(constrained_superposition,[],[f2046,f2044]) ).

thf(f3367,plain,
    ( ( ( termi @ c @ s )
     != $true )
    | ( ( termi @ c2 @ s2 )
      = $true ) ),
    inference(trivial_inequality_removal,[],[f3366]) ).

thf(f3368,plain,
    ( ( termi @ c2 @ s2 )
    = $true ),
    inference(forward_subsumption_resolution,[],[f3367,f2045]) ).

thf(f3369,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f3368,f2048]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP142^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n011.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Tue Sep 29 19:59:46 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23  Running first-order model finding
% 0.08/0.23  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.51/0.51  % (568973)Will run a generic schedule for satisfiability detection.
% 1.51/0.51  % (568978)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1892313796_2999 on theBenchmark for (2999ds/0Mi)
% 1.51/0.51  % (568979)% WARNING: option uhcvi not known.
% 1.51/0.51  % (568979)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1815835634:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.51/0.51  % (568980)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=7737698:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.51/0.51  % (568981)dis+10_1_sil=32000:sp=arity:random_seed=1396904878:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.51/0.51  % (568982)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3966647058:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.51/0.51  % (568984)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=408462970:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.51/0.51  % (568983)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=444836095:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.51/0.51  % (568982)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.51/0.51  % (568979)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.51/0.51  % Exception at run slice level
% 1.51/0.51  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.51/0.51  % (568981)Instruction limit reached! 
% 1.51/0.51  % (568981)------------------------------
% 1.51/0.51  % (568981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.51  % (568981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.51  % (568981)CaDiCaL version: 2.1.3
% 1.51/0.51  % (568981)Termination reason: Instruction limit
% 1.51/0.51  % (568981)Termination phase: Property scanning
% 1.51/0.51  % (568981)Time elapsed: 0.043 s
% 1.51/0.51  % (568981)Peak memory usage: 12 MB
% 1.51/0.51  % (568981)Instructions burned: 103 (million)
% 1.51/0.51  % (568982)Instruction limit reached! 
% 1.51/0.51  % (568982)------------------------------
% 1.51/0.51  % (568982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.51  % (568982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.51  % (568982)CaDiCaL version: 2.1.3
% 1.51/0.51  % (568982)Termination reason: Instruction limit
% 1.51/0.51  % (568982)Termination phase: Property scanning
% 1.51/0.51  % (568982)Time elapsed: 0.049 s
% 1.51/0.51  % (568982)Peak memory usage: 12 MB
% 1.51/0.51  % (568982)Instructions burned: 117 (million)
% 1.51/0.51  % (568994)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=20914083:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.51/0.51  % (568995)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3493760842:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.51/0.51  % (568984)Instruction limit reached! 
% 1.51/0.51  % (568984)------------------------------
% 1.51/0.51  % (568984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.51  % (568984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.51  % (568984)CaDiCaL version: 2.1.3
% 1.51/0.51  % (568984)Termination reason: Instruction limit
% 1.51/0.51  % (568984)Termination phase: Property scanning
% 1.51/0.51  % (568984)Time elapsed: 0.067 s
% 1.51/0.51  % (568984)Peak memory usage: 12 MB
% 1.51/0.51  % (568984)Instructions burned: 159 (million)
% 1.51/0.51  % (568996)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=848573060:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.51/0.51  % (568983)Instruction limit reached! 
% 1.51/0.51  % (568983)------------------------------
% 1.51/0.51  % (568983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.51  % (568983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.51  % (568983)CaDiCaL version: 2.1.3
% 1.51/0.51  % (568983)Termination reason: Instruction limit
% 1.51/0.51  % (568983)Termination phase: Property scanning
% 1.51/0.51  % (568983)Time elapsed: 0.068 s
% 1.51/0.51  % (568983)Peak memory usage: 12 MB
% 1.51/0.51  % (568983)Instructions burned: 131 (million)
% 1.51/0.51  % (568979)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.51/0.51  % (568999)ott-21_1_sil=16000:fs=off:random_seed=1605587006:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.51/0.51  % (569001)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2592647516:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.51/0.51  % (568996)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.51/0.51  % Exception at run slice level
% 1.51/0.51  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.51/0.51  % (568995)Instruction limit reached! 
% 1.51/0.51  % (568995)------------------------------
% 1.51/0.51  % (568995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.51  % (568995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.51  % (568995)CaDiCaL version: 2.1.3
% 1.51/0.51  % (568995)Termination reason: Instruction limit
% 1.51/0.51  % (568995)Termination phase: Property scanning
% 1.51/0.51  % (568995)Time elapsed: 0.055 s
% 1.51/0.51  % (568995)Peak memory usage: 12 MB
% 1.51/0.51  % (568995)Instructions burned: 133 (million)
% 1.51/0.51  % (569004)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4122657688:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.51/0.51  % (569006)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1210023486:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.51/0.51  % (568996)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.51/0.51  % (568999)Instruction limit reached! 
% 1.51/0.51  % (568999)------------------------------
% 1.51/0.51  % (568999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.51  % (568999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.51  % (568999)CaDiCaL version: 2.1.3
% 1.51/0.51  % (568999)Termination reason: Instruction limit
% 1.51/0.51  % (568999)Termination phase: Property scanning
% 1.51/0.51  % (568999)Time elapsed: 0.074 s
% 1.51/0.51  % (568999)Peak memory usage: 12 MB
% 1.51/0.51  % (568999)Instructions burned: 180 (million)
% 1.51/0.51  % Exception at run slice level
% 1.51/0.51  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.51/0.51  % (569008)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2517227387:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 1.51/0.51  % (569009)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2687058716:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 1.51/0.51  % (568980) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-568973-568980"...
% 1.51/0.51  % (568980)...printing done.
% 1.51/0.51  % (568980)Refutation found. Thanks to Tanya!
% 1.51/0.51  % SZS status Theorem for theBenchmark
% 1.51/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.51  % (568980)------------------------------
% 1.51/0.51  % (568980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.51  % (568980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.51  % (568980)CaDiCaL version: 2.1.3
% 1.51/0.51  % (568980)Termination reason: Refutation
% 1.51/0.51  % (568980)Time elapsed: 0.205 s
% 1.51/0.51  % (568980)Peak memory usage: 15 MB
% 1.51/0.51  % (568980)Instructions burned: 286 (million)
% 1.51/0.51  % (568973)Success in time 0.277 s
% 1.51/0.51  % Vampire exiting
%------------------------------------------------------------------------------