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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : NLP001^17 : TPTP v9.2.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Feb 25 09:21:47 AM UTC 2026

% Result   : Theorem 2.05s 1.97s
% Output   : Refutation 2.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   62
%            Number of leaves      :  122
% Syntax   : Number of formulae    : 1604 (  21 unt;   0 typ; 117 def)
%            Number of atoms       : 27221 (4307 equ;   0 cnn)
%            Maximal formula atoms :  128 (  16 avg)
%            Number of connectives : 33299 (1458   ~;4852   |;4731   &;21816   @)
%                                         ( 117 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   44 (   4 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :  170 ( 170   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  170 ( 166 usr; 142 con; 0-3 aty)
%                                         (   0  !!; 313  ??;   0 @@+;   0 @@-)
%            Number of variables   : 1240 ( 687   ^; 551   !;   2   ?;1240   :)

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

thf(func_def_0,type,
    mworld: $tType ).

thf(func_def_1,type,
    mrel: mworld > mworld > $o ).

thf(func_def_2,type,
    mactual: mworld ).

thf(func_def_3,type,
    mlocal: ( mworld > $o ) > $o ).

thf(func_def_5,type,
    mnot: ( mworld > $o ) > mworld > $o ).

thf(func_def_6,type,
    mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_7,type,
    mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_8,type,
    mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_9,type,
    mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_10,type,
    mbox: ( mworld > $o ) > mworld > $o ).

thf(func_def_11,type,
    mdia: ( mworld > $o ) > mworld > $o ).

thf(func_def_12,type,
    eiw_di: $i > mworld > $o ).

thf(func_def_13,type,
    mforall_di: ( $i > mworld > $o ) > mworld > $o ).

thf(func_def_14,type,
    mexists_di: ( $i > mworld > $o ) > mworld > $o ).

thf(func_def_15,type,
    chevy: $i > mworld > $o ).

thf(func_def_16,type,
    dirty: $i > mworld > $o ).

thf(func_def_17,type,
    barrel: $i > $i > mworld > $o ).

thf(func_def_18,type,
    hollywood: $i > mworld > $o ).

thf(func_def_19,type,
    city: $i > mworld > $o ).

thf(func_def_20,type,
    in: $i > $i > mworld > $o ).

thf(func_def_21,type,
    old: $i > mworld > $o ).

thf(func_def_22,type,
    down: $i > $i > mworld > $o ).

thf(func_def_23,type,
    way: $i > mworld > $o ).

thf(func_def_24,type,
    white: $i > mworld > $o ).

thf(func_def_25,type,
    car: $i > mworld > $o ).

thf(func_def_26,type,
    street: $i > mworld > $o ).

thf(func_def_27,type,
    event: $i > mworld > $o ).

thf(func_def_28,type,
    lonely: $i > mworld > $o ).

thf(func_def_43,type,
    sK0: mworld > $i ).

thf(f3127,plain,
    $false,
    inference(avatar_sat_refutation,[status(thm)],[f1276,f1465,f1470,f1475,f1480,f1485,f1490,f1495,f1500,f1505,f1510,f1515,f1520,f1525,f1530,f1535,f1540,f1545,f1550,f1559,f1564,f1569,f1574,f1579,f1584,f1589,f1594,f1599,f1604,f1609,f1614,f1619,f1624,f1629,f1634,f1639,f1644,f1653,f1658,f1663,f1668,f1673,f1678,f1683,f1688,f1693,f1698,f1703,f1708,f1713,f1718,f1723,f1728,f1733,f1738,f1743,f1748,f1753,f1758,f1763,f1768,f1773,f1778,f1783,f1788,f1793,f1798,f1803,f1808,f1813,f1822,f1823,f1824,f1829,f1834,f1839,f1844,f1849,f1854,f1855,f1856,f1857,f1858,f1859,f1860,f1865,f1866,f1867,f1868,f1869,f1870,f1871,f1872,f1873,f1874,f1875,f1876,f1877,f1878,f1879,f1884,f1889,f1894,f1899,f1904,f1909,f1914,f1919,f1924,f1929,f1934,f1939,f1944,f1945,f1946,f1951,f1952,f1953,f1954,f1955,f1956,f1957,f1958,f1959,f1960,f1961,f1962,f1963,f1964,f1965,f1970,f1971,f1976,f1981,f1986,f1987,f1988,f1989,f1990,f1991,f1992,f1993,f1994,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f2034,f2035,f2036,f2037,f2038,f2039,f2040,f2041,f2042,f2043,f2044,f2045,f2046,f2047,f2048,f2049,f2050,f2051,f2052,f2053,f2054,f2055,f2056,f2057,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2080,f2081,f2082,f2083,f2084,f2085,f2086,f2087,f2088,f2089,f2090,f2091,f2092,f2093,f2094,f2095,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2104,f2105,f2106,f2107,f2108,f2109,f2110,f2111,f2112,f2113,f2114,f2115,f2116,f2117,f2118,f2119,f2120,f2121,f2122,f2123,f2124,f2125,f2126,f2127,f2128,f2129,f2130,f2131,f2132,f2133,f2134,f2135,f2136,f2137,f2138,f2139,f2140,f2141,f2142,f2143,f2144,f2145,f2146,f2147,f2148,f2149,f2150,f2151,f2152,f2153,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f2167,f2168,f2169,f2170,f2171,f2172,f2173,f2174,f2175,f2176,f2210,f2222,f2334,f2462,f2510,f2534,f2568,f2611,f2655,f2694,f2737,f2746,f2754,f2772,f2775,f2809,f2825,f2839,f2855,f2858,f2903,f2921,f2966,f2979,f3015,f3018,f3071,f3126]) ).

thf(f3126,plain,
    ( ~ spl1_78
    | ~ spl1_81
    | ~ spl1_82
    | ~ spl1_83
    | ~ spl1_84
    | ~ spl1_85
    | ~ spl1_86
    | ~ spl1_138 ),
    inference(avatar_contradiction_clause,[status(thm)],[f3125]) ).

thf(f3125,plain,
    ( $false
    | ~ spl1_78
    | ~ spl1_81
    | ~ spl1_82
    | ~ spl1_83
    | ~ spl1_84
    | ~ spl1_85
    | ~ spl1_86
    | ~ spl1_138 ),
    inference(trivial_inequality_removal,[status(thm)],[f3124]) ).

thf(f3124,plain,
    ( ( $false = $true )
    | ~ spl1_78
    | ~ spl1_81
    | ~ spl1_82
    | ~ spl1_83
    | ~ spl1_84
    | ~ spl1_85
    | ~ spl1_86
    | ~ spl1_138 ),
    inference(backward_demodulation,[status(thm)],[f1692,f3123]) ).

thf(f3123,plain,
    ( ( $false
      = ( car @ sK14 @ mactual ) )
    | ~ spl1_78
    | ~ spl1_81
    | ~ spl1_82
    | ~ spl1_83
    | ~ spl1_84
    | ~ spl1_86
    | ~ spl1_138 ),
    inference(trivial_inequality_removal,[status(thm)],[f3122]) ).

thf(f3122,plain,
    ( ( $false
      = ( car @ sK14 @ mactual ) )
    | ( $false = $true )
    | ~ spl1_78
    | ~ spl1_81
    | ~ spl1_82
    | ~ spl1_83
    | ~ spl1_84
    | ~ spl1_86
    | ~ spl1_138 ),
    inference(forward_demodulation,[status(thm)],[f3121,f1657]) ).

thf(f1657,plain,
    ( ( ( eiw_di @ sK14 @ mactual )
      = $true )
    | ~ spl1_78 ),
    inference(avatar_component_clause,[status(thm)],[f1655]) ).

thf(f1655,definition,
    ( spl1_78
  <=> ( ( eiw_di @ sK14 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_78])],[avatar_definition]) ).

thf(f3121,plain,
    ( ( $false
      = ( car @ sK14 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK14 @ mactual ) )
    | ~ spl1_81
    | ~ spl1_82
    | ~ spl1_83
    | ~ spl1_84
    | ~ spl1_86
    | ~ spl1_138 ),
    inference(trivial_inequality_removal,[status(thm)],[f3120]) ).

thf(f3120,plain,
    ( ( $false
      = ( eiw_di @ sK14 @ mactual ) )
    | ( $false
      = ( car @ sK14 @ mactual ) )
    | ( $false = $true )
    | ~ spl1_81
    | ~ spl1_82
    | ~ spl1_83
    | ~ spl1_84
    | ~ spl1_86
    | ~ spl1_138 ),
    inference(forward_demodulation,[status(thm)],[f3119,f1697]) ).

thf(f1697,plain,
    ( ( $true
      = ( chevy @ sK14 @ mactual ) )
    | ~ spl1_86 ),
    inference(avatar_component_clause,[status(thm)],[f1695]) ).

thf(f1695,definition,
    ( spl1_86
  <=> ( $true
      = ( chevy @ sK14 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_86])],[avatar_definition]) ).

thf(f3119,plain,
    ( ( $false
      = ( car @ sK14 @ mactual ) )
    | ( $false
      = ( chevy @ sK14 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK14 @ mactual ) )
    | ~ spl1_81
    | ~ spl1_82
    | ~ spl1_83
    | ~ spl1_84
    | ~ spl1_138 ),
    inference(trivial_inequality_removal,[status(thm)],[f3118]) ).

thf(f3118,plain,
    ( ( $false = $true )
    | ( $false
      = ( eiw_di @ sK14 @ mactual ) )
    | ( $false
      = ( chevy @ sK14 @ mactual ) )
    | ( $false
      = ( car @ sK14 @ mactual ) )
    | ~ spl1_81
    | ~ spl1_82
    | ~ spl1_83
    | ~ spl1_84
    | ~ spl1_138 ),
    inference(forward_demodulation,[status(thm)],[f3117,f1682]) ).

thf(f1682,plain,
    ( ( ( dirty @ sK14 @ mactual )
      = $true )
    | ~ spl1_83 ),
    inference(avatar_component_clause,[status(thm)],[f1680]) ).

thf(f1680,definition,
    ( spl1_83
  <=> ( ( dirty @ sK14 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_83])],[avatar_definition]) ).

thf(f3117,plain,
    ( ( $false
      = ( dirty @ sK14 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK14 @ mactual ) )
    | ( $false
      = ( chevy @ sK14 @ mactual ) )
    | ( $false
      = ( car @ sK14 @ mactual ) )
    | ~ spl1_81
    | ~ spl1_82
    | ~ spl1_84
    | ~ spl1_138 ),
    inference(trivial_inequality_removal,[status(thm)],[f3116]) ).

thf(f3116,plain,
    ( ( $false = $true )
    | ( $false
      = ( chevy @ sK14 @ mactual ) )
    | ( $false
      = ( car @ sK14 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK14 @ mactual ) )
    | ( $false
      = ( dirty @ sK14 @ mactual ) )
    | ~ spl1_81
    | ~ spl1_82
    | ~ spl1_84
    | ~ spl1_138 ),
    inference(forward_demodulation,[status(thm)],[f3115,f1687]) ).

thf(f1687,plain,
    ( ( ( white @ sK14 @ mactual )
      = $true )
    | ~ spl1_84 ),
    inference(avatar_component_clause,[status(thm)],[f1685]) ).

thf(f1685,definition,
    ( spl1_84
  <=> ( ( white @ sK14 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_84])],[avatar_definition]) ).

thf(f3115,plain,
    ( ( $false
      = ( white @ sK14 @ mactual ) )
    | ( $false
      = ( dirty @ sK14 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK14 @ mactual ) )
    | ( $false
      = ( chevy @ sK14 @ mactual ) )
    | ( $false
      = ( car @ sK14 @ mactual ) )
    | ~ spl1_81
    | ~ spl1_82
    | ~ spl1_138 ),
    inference(trivial_inequality_removal,[status(thm)],[f3114]) ).

thf(f3114,plain,
    ( ( $false
      = ( car @ sK14 @ mactual ) )
    | ( $false
      = ( chevy @ sK14 @ mactual ) )
    | ( $false
      = ( white @ sK14 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( eiw_di @ sK14 @ mactual ) )
    | ( $false
      = ( dirty @ sK14 @ mactual ) )
    | ~ spl1_81
    | ~ spl1_82
    | ~ spl1_138 ),
    inference(forward_demodulation,[status(thm)],[f3077,f1677]) ).

thf(f1677,plain,
    ( ( ( old @ sK14 @ mactual )
      = $true )
    | ~ spl1_82 ),
    inference(avatar_component_clause,[status(thm)],[f1675]) ).

thf(f1675,definition,
    ( spl1_82
  <=> ( ( old @ sK14 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_82])],[avatar_definition]) ).

thf(f3077,plain,
    ( ( $false
      = ( old @ sK14 @ mactual ) )
    | ( $false
      = ( chevy @ sK14 @ mactual ) )
    | ( $false
      = ( car @ sK14 @ mactual ) )
    | ( $false
      = ( white @ sK14 @ mactual ) )
    | ( $false
      = ( dirty @ sK14 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK14 @ mactual ) )
    | ~ spl1_81
    | ~ spl1_138 ),
    inference(trivial_inequality_removal,[status(thm)],[f3072]) ).

thf(f3072,plain,
    ( ( $false
      = ( car @ sK14 @ mactual ) )
    | ( $false
      = ( old @ sK14 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK14 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( chevy @ sK14 @ mactual ) )
    | ( $false
      = ( white @ sK14 @ mactual ) )
    | ( $false
      = ( dirty @ sK14 @ mactual ) )
    | ~ spl1_81
    | ~ spl1_138 ),
    inference(superposition,[status(thm)],[f1672,f2198]) ).

thf(f2198,plain,
    ( ! [X1: $i] :
        ( ( $false
          = ( barrel @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) ) )
    | ~ spl1_138 ),
    inference(avatar_component_clause,[status(thm)],[f2197]) ).

thf(f2197,definition,
    ( spl1_138
  <=> ! [X1: $i] :
        ( ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_138])],[avatar_definition]) ).

thf(f1672,plain,
    ( ( $true
      = ( barrel @ sK3 @ sK14 @ mactual ) )
    | ~ spl1_81 ),
    inference(avatar_component_clause,[status(thm)],[f1670]) ).

thf(f1670,definition,
    ( spl1_81
  <=> ( $true
      = ( barrel @ sK3 @ sK14 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_81])],[avatar_definition]) ).

thf(f1692,plain,
    ( ( ( car @ sK14 @ mactual )
      = $true )
    | ~ spl1_85 ),
    inference(avatar_component_clause,[status(thm)],[f1690]) ).

thf(f1690,definition,
    ( spl1_85
  <=> ( ( car @ sK14 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_85])],[avatar_definition]) ).

thf(f3071,plain,
    ( ~ spl1_119
    | ~ spl1_121
    | ~ spl1_123
    | ~ spl1_124
    | ~ spl1_125
    | ~ spl1_150 ),
    inference(avatar_contradiction_clause,[status(thm)],[f3070]) ).

thf(f3070,plain,
    ( $false
    | ~ spl1_119
    | ~ spl1_121
    | ~ spl1_123
    | ~ spl1_124
    | ~ spl1_125
    | ~ spl1_150 ),
    inference(trivial_inequality_removal,[status(thm)],[f3069]) ).

thf(f3069,plain,
    ( ( $false = $true )
    | ~ spl1_119
    | ~ spl1_121
    | ~ spl1_123
    | ~ spl1_124
    | ~ spl1_125
    | ~ spl1_150 ),
    inference(backward_demodulation,[status(thm)],[f1903,f3068]) ).

thf(f3068,plain,
    ( ( $false
      = ( lonely @ sK10 @ mactual ) )
    | ~ spl1_119
    | ~ spl1_121
    | ~ spl1_124
    | ~ spl1_125
    | ~ spl1_150 ),
    inference(trivial_inequality_removal,[status(thm)],[f3067]) ).

thf(f3067,plain,
    ( ( $false
      = ( lonely @ sK10 @ mactual ) )
    | ( $false = $true )
    | ~ spl1_119
    | ~ spl1_121
    | ~ spl1_124
    | ~ spl1_125
    | ~ spl1_150 ),
    inference(forward_demodulation,[status(thm)],[f3066,f1913]) ).

thf(f1913,plain,
    ( ( ( street @ sK10 @ mactual )
      = $true )
    | ~ spl1_125 ),
    inference(avatar_component_clause,[status(thm)],[f1911]) ).

thf(f1911,definition,
    ( spl1_125
  <=> ( ( street @ sK10 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_125])],[avatar_definition]) ).

thf(f3066,plain,
    ( ( $false
      = ( street @ sK10 @ mactual ) )
    | ( $false
      = ( lonely @ sK10 @ mactual ) )
    | ~ spl1_119
    | ~ spl1_121
    | ~ spl1_124
    | ~ spl1_150 ),
    inference(trivial_inequality_removal,[status(thm)],[f3065]) ).

thf(f3065,plain,
    ( ( $false
      = ( street @ sK10 @ mactual ) )
    | ( $false
      = ( lonely @ sK10 @ mactual ) )
    | ( $false = $true )
    | ~ spl1_119
    | ~ spl1_121
    | ~ spl1_124
    | ~ spl1_150 ),
    inference(forward_demodulation,[status(thm)],[f3064,f1883]) ).

thf(f1883,plain,
    ( ( ( eiw_di @ sK10 @ mactual )
      = $true )
    | ~ spl1_119 ),
    inference(avatar_component_clause,[status(thm)],[f1881]) ).

thf(f1881,definition,
    ( spl1_119
  <=> ( ( eiw_di @ sK10 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_119])],[avatar_definition]) ).

thf(f3064,plain,
    ( ( $false
      = ( eiw_di @ sK10 @ mactual ) )
    | ( $false
      = ( street @ sK10 @ mactual ) )
    | ( $false
      = ( lonely @ sK10 @ mactual ) )
    | ~ spl1_121
    | ~ spl1_124
    | ~ spl1_150 ),
    inference(trivial_inequality_removal,[status(thm)],[f3063]) ).

thf(f3063,plain,
    ( ( $false
      = ( eiw_di @ sK10 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( lonely @ sK10 @ mactual ) )
    | ( $false
      = ( street @ sK10 @ mactual ) )
    | ~ spl1_121
    | ~ spl1_124
    | ~ spl1_150 ),
    inference(forward_demodulation,[status(thm)],[f3053,f1908]) ).

thf(f1908,plain,
    ( ( ( way @ sK10 @ mactual )
      = $true )
    | ~ spl1_124 ),
    inference(avatar_component_clause,[status(thm)],[f1906]) ).

thf(f1906,definition,
    ( spl1_124
  <=> ( ( way @ sK10 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_124])],[avatar_definition]) ).

thf(f3053,plain,
    ( ( $false
      = ( lonely @ sK10 @ mactual ) )
    | ( $false
      = ( way @ sK10 @ mactual ) )
    | ( $false
      = ( street @ sK10 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK10 @ mactual ) )
    | ~ spl1_121
    | ~ spl1_150 ),
    inference(trivial_inequality_removal,[status(thm)],[f3049]) ).

thf(f3049,plain,
    ( ( $false = $true )
    | ( $false
      = ( lonely @ sK10 @ mactual ) )
    | ( $false
      = ( way @ sK10 @ mactual ) )
    | ( $false
      = ( street @ sK10 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK10 @ mactual ) )
    | ~ spl1_121
    | ~ spl1_150 ),
    inference(superposition,[status(thm)],[f2492,f1893]) ).

thf(f1893,plain,
    ( ( ( down @ sK7 @ sK10 @ mactual )
      = $true )
    | ~ spl1_121 ),
    inference(avatar_component_clause,[status(thm)],[f1891]) ).

thf(f1891,definition,
    ( spl1_121
  <=> ( ( down @ sK7 @ sK10 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_121])],[avatar_definition]) ).

thf(f2492,plain,
    ( ! [X0: $i] :
        ( ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) ) )
    | ~ spl1_150 ),
    inference(avatar_component_clause,[status(thm)],[f2491]) ).

thf(f2491,definition,
    ( spl1_150
  <=> ! [X0: $i] :
        ( ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_150])],[avatar_definition]) ).

thf(f1903,plain,
    ( ( ( lonely @ sK10 @ mactual )
      = $true )
    | ~ spl1_123 ),
    inference(avatar_component_clause,[status(thm)],[f1901]) ).

thf(f1901,definition,
    ( spl1_123
  <=> ( ( lonely @ sK10 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_123])],[avatar_definition]) ).

thf(f3018,plain,
    ( ~ spl1_129
    | ~ spl1_155 ),
    inference(avatar_contradiction_clause,[status(thm)],[f3017]) ).

thf(f3017,plain,
    ( $false
    | ~ spl1_129
    | ~ spl1_155 ),
    inference(trivial_inequality_removal,[status(thm)],[f3016]) ).

thf(f3016,plain,
    ( ( $false = $true )
    | ~ spl1_129
    | ~ spl1_155 ),
    inference(forward_demodulation,[status(thm)],[f1933,f2711]) ).

thf(f2711,plain,
    ( ( $false
      = ( car @ sK8 @ mactual ) )
    | ~ spl1_155 ),
    inference(avatar_component_clause,[status(thm)],[f2709]) ).

thf(f2709,definition,
    ( spl1_155
  <=> ( $false
      = ( car @ sK8 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_155])],[avatar_definition]) ).

thf(f1933,plain,
    ( ( ( car @ sK8 @ mactual )
      = $true )
    | ~ spl1_129 ),
    inference(avatar_component_clause,[status(thm)],[f1931]) ).

thf(f1931,definition,
    ( spl1_129
  <=> ( ( car @ sK8 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_129])],[avatar_definition]) ).

thf(f3015,plain,
    ( ~ spl1_77
    | ~ spl1_158 ),
    inference(avatar_contradiction_clause,[status(thm)],[f3014]) ).

thf(f3014,plain,
    ( $false
    | ~ spl1_77
    | ~ spl1_158 ),
    inference(trivial_inequality_removal,[status(thm)],[f3013]) ).

thf(f3013,plain,
    ( ( $false = $true )
    | ~ spl1_77
    | ~ spl1_158 ),
    inference(forward_demodulation,[status(thm)],[f1652,f2847]) ).

thf(f2847,plain,
    ( ( $false
      = ( eiw_di @ sK4 @ mactual ) )
    | ~ spl1_158 ),
    inference(avatar_component_clause,[status(thm)],[f2845]) ).

thf(f2845,definition,
    ( spl1_158
  <=> ( $false
      = ( eiw_di @ sK4 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_158])],[avatar_definition]) ).

thf(f1652,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ~ spl1_77 ),
    inference(avatar_component_clause,[status(thm)],[f1650]) ).

thf(f1650,definition,
    ( spl1_77
  <=> ( ( eiw_di @ sK4 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_77])],[avatar_definition]) ).

thf(f2979,plain,
    ( ~ spl1_95
    | ~ spl1_97
    | ~ spl1_99
    | ~ spl1_100
    | ~ spl1_101
    | ~ spl1_160 ),
    inference(avatar_contradiction_clause,[status(thm)],[f2978]) ).

thf(f2978,plain,
    ( $false
    | ~ spl1_95
    | ~ spl1_97
    | ~ spl1_99
    | ~ spl1_100
    | ~ spl1_101
    | ~ spl1_160 ),
    inference(trivial_inequality_removal,[status(thm)],[f2977]) ).

thf(f2977,plain,
    ( ( $false = $true )
    | ~ spl1_95
    | ~ spl1_97
    | ~ spl1_99
    | ~ spl1_100
    | ~ spl1_101
    | ~ spl1_160 ),
    inference(backward_demodulation,[status(thm)],[f1762,f2976]) ).

thf(f2976,plain,
    ( ( $false
      = ( lonely @ sK13 @ mactual ) )
    | ~ spl1_95
    | ~ spl1_97
    | ~ spl1_100
    | ~ spl1_101
    | ~ spl1_160 ),
    inference(trivial_inequality_removal,[status(thm)],[f2975]) ).

thf(f2975,plain,
    ( ( $false = $true )
    | ( $false
      = ( lonely @ sK13 @ mactual ) )
    | ~ spl1_95
    | ~ spl1_97
    | ~ spl1_100
    | ~ spl1_101
    | ~ spl1_160 ),
    inference(forward_demodulation,[status(thm)],[f2974,f1742]) ).

thf(f1742,plain,
    ( ( $true
      = ( eiw_di @ sK13 @ mactual ) )
    | ~ spl1_95 ),
    inference(avatar_component_clause,[status(thm)],[f1740]) ).

thf(f1740,definition,
    ( spl1_95
  <=> ( $true
      = ( eiw_di @ sK13 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_95])],[avatar_definition]) ).

thf(f2974,plain,
    ( ( $false
      = ( eiw_di @ sK13 @ mactual ) )
    | ( $false
      = ( lonely @ sK13 @ mactual ) )
    | ~ spl1_97
    | ~ spl1_100
    | ~ spl1_101
    | ~ spl1_160 ),
    inference(trivial_inequality_removal,[status(thm)],[f2973]) ).

thf(f2973,plain,
    ( ( $false
      = ( lonely @ sK13 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK13 @ mactual ) )
    | ( $false = $true )
    | ~ spl1_97
    | ~ spl1_100
    | ~ spl1_101
    | ~ spl1_160 ),
    inference(forward_demodulation,[status(thm)],[f2972,f1772]) ).

thf(f1772,plain,
    ( ( ( street @ sK13 @ mactual )
      = $true )
    | ~ spl1_101 ),
    inference(avatar_component_clause,[status(thm)],[f1770]) ).

thf(f1770,definition,
    ( spl1_101
  <=> ( ( street @ sK13 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_101])],[avatar_definition]) ).

thf(f2972,plain,
    ( ( $false
      = ( street @ sK13 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK13 @ mactual ) )
    | ( $false
      = ( lonely @ sK13 @ mactual ) )
    | ~ spl1_97
    | ~ spl1_100
    | ~ spl1_160 ),
    inference(trivial_inequality_removal,[status(thm)],[f2971]) ).

thf(f2971,plain,
    ( ( $false = $true )
    | ( $false
      = ( street @ sK13 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK13 @ mactual ) )
    | ( $false
      = ( lonely @ sK13 @ mactual ) )
    | ~ spl1_97
    | ~ spl1_100
    | ~ spl1_160 ),
    inference(forward_demodulation,[status(thm)],[f2970,f1767]) ).

thf(f1767,plain,
    ( ( ( way @ sK13 @ mactual )
      = $true )
    | ~ spl1_100 ),
    inference(avatar_component_clause,[status(thm)],[f1765]) ).

thf(f1765,definition,
    ( spl1_100
  <=> ( ( way @ sK13 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_100])],[avatar_definition]) ).

thf(f2970,plain,
    ( ( $false
      = ( lonely @ sK13 @ mactual ) )
    | ( $false
      = ( way @ sK13 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK13 @ mactual ) )
    | ( $false
      = ( street @ sK13 @ mactual ) )
    | ~ spl1_97
    | ~ spl1_160 ),
    inference(trivial_inequality_removal,[status(thm)],[f2968]) ).

thf(f2968,plain,
    ( ( $false
      = ( eiw_di @ sK13 @ mactual ) )
    | ( $false
      = ( way @ sK13 @ mactual ) )
    | ( $false
      = ( street @ sK13 @ mactual ) )
    | ( $false
      = ( lonely @ sK13 @ mactual ) )
    | ( $false = $true )
    | ~ spl1_97
    | ~ spl1_160 ),
    inference(superposition,[status(thm)],[f1752,f2882]) ).

thf(f2882,plain,
    ( ! [X0: $i] :
        ( ( $false
          = ( down @ sK11 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) ) )
    | ~ spl1_160 ),
    inference(avatar_component_clause,[status(thm)],[f2881]) ).

thf(f2881,definition,
    ( spl1_160
  <=> ! [X0: $i] :
        ( ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK11 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_160])],[avatar_definition]) ).

thf(f1752,plain,
    ( ( ( down @ sK11 @ sK13 @ mactual )
      = $true )
    | ~ spl1_97 ),
    inference(avatar_component_clause,[status(thm)],[f1750]) ).

thf(f1750,definition,
    ( spl1_97
  <=> ( ( down @ sK11 @ sK13 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_97])],[avatar_definition]) ).

thf(f1762,plain,
    ( ( ( lonely @ sK13 @ mactual )
      = $true )
    | ~ spl1_99 ),
    inference(avatar_component_clause,[status(thm)],[f1760]) ).

thf(f1760,definition,
    ( spl1_99
  <=> ( ( lonely @ sK13 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_99])],[avatar_definition]) ).

thf(f2966,plain,
    ( ~ spl1_76
    | ~ spl1_96
    | ~ spl1_108
    | ~ spl1_109
    | ~ spl1_161 ),
    inference(avatar_contradiction_clause,[status(thm)],[f2965]) ).

thf(f2965,plain,
    ( $false
    | ~ spl1_76
    | ~ spl1_96
    | ~ spl1_108
    | ~ spl1_109
    | ~ spl1_161 ),
    inference(trivial_inequality_removal,[status(thm)],[f2964]) ).

thf(f2964,plain,
    ( ( $false = $true )
    | ~ spl1_76
    | ~ spl1_96
    | ~ spl1_108
    | ~ spl1_109
    | ~ spl1_161 ),
    inference(backward_demodulation,[status(thm)],[f1807,f2963]) ).

thf(f2963,plain,
    ( ( $false
      = ( city @ sK5 @ mactual ) )
    | ~ spl1_76
    | ~ spl1_96
    | ~ spl1_109
    | ~ spl1_161 ),
    inference(trivial_inequality_removal,[status(thm)],[f2962]) ).

thf(f2962,plain,
    ( ( $false = $true )
    | ( $false
      = ( city @ sK5 @ mactual ) )
    | ~ spl1_76
    | ~ spl1_96
    | ~ spl1_109
    | ~ spl1_161 ),
    inference(forward_demodulation,[status(thm)],[f2961,f1648]) ).

thf(f1648,plain,
    ( ( ( eiw_di @ sK5 @ mactual )
      = $true )
    | ~ spl1_76 ),
    inference(avatar_component_clause,[status(thm)],[f1646]) ).

thf(f1646,definition,
    ( spl1_76
  <=> ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_76])],[avatar_definition]) ).

thf(f2961,plain,
    ( ( $false
      = ( eiw_di @ sK5 @ mactual ) )
    | ( $false
      = ( city @ sK5 @ mactual ) )
    | ~ spl1_96
    | ~ spl1_109
    | ~ spl1_161 ),
    inference(trivial_inequality_removal,[status(thm)],[f2960]) ).

thf(f2960,plain,
    ( ( $false
      = ( city @ sK5 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK5 @ mactual ) )
    | ( $false = $true )
    | ~ spl1_96
    | ~ spl1_109
    | ~ spl1_161 ),
    inference(forward_demodulation,[status(thm)],[f2959,f1812]) ).

thf(f1812,plain,
    ( ( $true
      = ( hollywood @ sK5 @ mactual ) )
    | ~ spl1_109 ),
    inference(avatar_component_clause,[status(thm)],[f1810]) ).

thf(f1810,definition,
    ( spl1_109
  <=> ( $true
      = ( hollywood @ sK5 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_109])],[avatar_definition]) ).

thf(f2959,plain,
    ( ( $false
      = ( hollywood @ sK5 @ mactual ) )
    | ( $false
      = ( city @ sK5 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK5 @ mactual ) )
    | ~ spl1_96
    | ~ spl1_161 ),
    inference(trivial_inequality_removal,[status(thm)],[f2957]) ).

thf(f2957,plain,
    ( ( $false
      = ( eiw_di @ sK5 @ mactual ) )
    | ( $false
      = ( city @ sK5 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( hollywood @ sK5 @ mactual ) )
    | ~ spl1_96
    | ~ spl1_161 ),
    inference(superposition,[status(thm)],[f1747,f2885]) ).

thf(f2885,plain,
    ( ! [X1: $i] :
        ( ( $false
          = ( in @ sK11 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) ) )
    | ~ spl1_161 ),
    inference(avatar_component_clause,[status(thm)],[f2884]) ).

thf(f2884,definition,
    ( spl1_161
  <=> ! [X1: $i] :
        ( ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK11 @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_161])],[avatar_definition]) ).

thf(f1747,plain,
    ( ( ( in @ sK11 @ sK5 @ mactual )
      = $true )
    | ~ spl1_96 ),
    inference(avatar_component_clause,[status(thm)],[f1745]) ).

thf(f1745,definition,
    ( spl1_96
  <=> ( ( in @ sK11 @ sK5 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_96])],[avatar_definition]) ).

thf(f1807,plain,
    ( ( ( city @ sK5 @ mactual )
      = $true )
    | ~ spl1_108 ),
    inference(avatar_component_clause,[status(thm)],[f1805]) ).

thf(f1805,definition,
    ( spl1_108
  <=> ( ( city @ sK5 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_108])],[avatar_definition]) ).

thf(f2921,plain,
    ( ~ spl1_111
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_114
    | ~ spl1_115
    | ~ spl1_116
    | ~ spl1_117
    | ~ spl1_138 ),
    inference(avatar_contradiction_clause,[status(thm)],[f2920]) ).

thf(f2920,plain,
    ( $false
    | ~ spl1_111
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_114
    | ~ spl1_115
    | ~ spl1_116
    | ~ spl1_117
    | ~ spl1_138 ),
    inference(trivial_inequality_removal,[status(thm)],[f2919]) ).

thf(f2919,plain,
    ( ( $false = $true )
    | ~ spl1_111
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_114
    | ~ spl1_115
    | ~ spl1_116
    | ~ spl1_117
    | ~ spl1_138 ),
    inference(backward_demodulation,[status(thm)],[f1848,f2918]) ).

thf(f2918,plain,
    ( ( $false
      = ( car @ sK6 @ mactual ) )
    | ~ spl1_111
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_114
    | ~ spl1_115
    | ~ spl1_117
    | ~ spl1_138 ),
    inference(trivial_inequality_removal,[status(thm)],[f2917]) ).

thf(f2917,plain,
    ( ( $false = $true )
    | ( $false
      = ( car @ sK6 @ mactual ) )
    | ~ spl1_111
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_114
    | ~ spl1_115
    | ~ spl1_117
    | ~ spl1_138 ),
    inference(forward_demodulation,[status(thm)],[f2916,f1843]) ).

thf(f1843,plain,
    ( ( $true
      = ( white @ sK6 @ mactual ) )
    | ~ spl1_115 ),
    inference(avatar_component_clause,[status(thm)],[f1841]) ).

thf(f1841,definition,
    ( spl1_115
  <=> ( $true
      = ( white @ sK6 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_115])],[avatar_definition]) ).

thf(f2916,plain,
    ( ( $false
      = ( white @ sK6 @ mactual ) )
    | ( $false
      = ( car @ sK6 @ mactual ) )
    | ~ spl1_111
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_114
    | ~ spl1_117
    | ~ spl1_138 ),
    inference(trivial_inequality_removal,[status(thm)],[f2915]) ).

thf(f2915,plain,
    ( ( $false = $true )
    | ( $false
      = ( car @ sK6 @ mactual ) )
    | ( $false
      = ( white @ sK6 @ mactual ) )
    | ~ spl1_111
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_114
    | ~ spl1_117
    | ~ spl1_138 ),
    inference(forward_demodulation,[status(thm)],[f2914,f1821]) ).

thf(f1821,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $true )
    | ~ spl1_111 ),
    inference(avatar_component_clause,[status(thm)],[f1819]) ).

thf(f1819,definition,
    ( spl1_111
  <=> ( ( eiw_di @ sK6 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_111])],[avatar_definition]) ).

thf(f2914,plain,
    ( ( $false
      = ( eiw_di @ sK6 @ mactual ) )
    | ( $false
      = ( car @ sK6 @ mactual ) )
    | ( $false
      = ( white @ sK6 @ mactual ) )
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_114
    | ~ spl1_117
    | ~ spl1_138 ),
    inference(trivial_inequality_removal,[status(thm)],[f2913]) ).

thf(f2913,plain,
    ( ( $false
      = ( white @ sK6 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK6 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( car @ sK6 @ mactual ) )
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_114
    | ~ spl1_117
    | ~ spl1_138 ),
    inference(forward_demodulation,[status(thm)],[f2912,f1853]) ).

thf(f1853,plain,
    ( ( ( chevy @ sK6 @ mactual )
      = $true )
    | ~ spl1_117 ),
    inference(avatar_component_clause,[status(thm)],[f1851]) ).

thf(f1851,definition,
    ( spl1_117
  <=> ( ( chevy @ sK6 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_117])],[avatar_definition]) ).

thf(f2912,plain,
    ( ( $false
      = ( car @ sK6 @ mactual ) )
    | ( $false
      = ( chevy @ sK6 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK6 @ mactual ) )
    | ( $false
      = ( white @ sK6 @ mactual ) )
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_114
    | ~ spl1_138 ),
    inference(trivial_inequality_removal,[status(thm)],[f2911]) ).

thf(f2911,plain,
    ( ( $false
      = ( chevy @ sK6 @ mactual ) )
    | ( $false
      = ( white @ sK6 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( car @ sK6 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK6 @ mactual ) )
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_114
    | ~ spl1_138 ),
    inference(forward_demodulation,[status(thm)],[f2910,f1838]) ).

thf(f1838,plain,
    ( ( $true
      = ( dirty @ sK6 @ mactual ) )
    | ~ spl1_114 ),
    inference(avatar_component_clause,[status(thm)],[f1836]) ).

thf(f1836,definition,
    ( spl1_114
  <=> ( $true
      = ( dirty @ sK6 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_114])],[avatar_definition]) ).

thf(f2910,plain,
    ( ( $false
      = ( dirty @ sK6 @ mactual ) )
    | ( $false
      = ( chevy @ sK6 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK6 @ mactual ) )
    | ( $false
      = ( car @ sK6 @ mactual ) )
    | ( $false
      = ( white @ sK6 @ mactual ) )
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_138 ),
    inference(trivial_inequality_removal,[status(thm)],[f2909]) ).

thf(f2909,plain,
    ( ( $false
      = ( car @ sK6 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK6 @ mactual ) )
    | ( $false
      = ( chevy @ sK6 @ mactual ) )
    | ( $false
      = ( dirty @ sK6 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( white @ sK6 @ mactual ) )
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_138 ),
    inference(forward_demodulation,[status(thm)],[f2908,f1833]) ).

thf(f1833,plain,
    ( ( ( old @ sK6 @ mactual )
      = $true )
    | ~ spl1_113 ),
    inference(avatar_component_clause,[status(thm)],[f1831]) ).

thf(f1831,definition,
    ( spl1_113
  <=> ( ( old @ sK6 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_113])],[avatar_definition]) ).

thf(f2908,plain,
    ( ( $false
      = ( car @ sK6 @ mactual ) )
    | ( $false
      = ( old @ sK6 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK6 @ mactual ) )
    | ( $false
      = ( dirty @ sK6 @ mactual ) )
    | ( $false
      = ( white @ sK6 @ mactual ) )
    | ( $false
      = ( chevy @ sK6 @ mactual ) )
    | ~ spl1_112
    | ~ spl1_138 ),
    inference(trivial_inequality_removal,[status(thm)],[f2905]) ).

thf(f2905,plain,
    ( ( $false
      = ( eiw_di @ sK6 @ mactual ) )
    | ( $false
      = ( chevy @ sK6 @ mactual ) )
    | ( $false
      = ( white @ sK6 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( old @ sK6 @ mactual ) )
    | ( $false
      = ( dirty @ sK6 @ mactual ) )
    | ( $false
      = ( car @ sK6 @ mactual ) )
    | ~ spl1_112
    | ~ spl1_138 ),
    inference(superposition,[status(thm)],[f2198,f1828]) ).

thf(f1828,plain,
    ( ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true )
    | ~ spl1_112 ),
    inference(avatar_component_clause,[status(thm)],[f1826]) ).

thf(f1826,definition,
    ( spl1_112
  <=> ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_112])],[avatar_definition]) ).

thf(f1848,plain,
    ( ( ( car @ sK6 @ mactual )
      = $true )
    | ~ spl1_116 ),
    inference(avatar_component_clause,[status(thm)],[f1846]) ).

thf(f1846,definition,
    ( spl1_116
  <=> ( ( car @ sK6 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_116])],[avatar_definition]) ).

thf(f2903,plain,
    ( spl1_161
    | spl1_160
    | ~ spl1_1
    | ~ spl1_93
    | ~ spl1_94
    | ~ spl1_98
    | ~ spl1_102
    | ~ spl1_103
    | ~ spl1_104
    | ~ spl1_105
    | ~ spl1_106
    | ~ spl1_107 ),
    inference(avatar_split_clause,[status(thm)],[f2902,f1800,f1795,f1790,f1785,f1780,f1775,f1755,f1735,f1730,f1274,f2881,f2884]) ).

thf(f1274,definition,
    ( spl1_1
  <=> ! [X3: $i,X7: $i,X5: $i,X2: $i] :
        ( ( $false
          = ( dirty @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) )
        | ( $false
          = ( hollywood @ X2 @ mactual ) )
        | ( $false
          = ( old @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( $false
          = ( car @ X7 @ mactual ) )
        | ( $false
          = ( chevy @ X7 @ mactual ) )
        | ( $false
          = ( city @ X2 @ mactual ) )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( $false
          = ( barrel @ X3 @ X7 @ mactual ) )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( $false
          = ( eiw_di @ X3 @ mactual ) )
        | ( $false
          = ( in @ X3 @ X2 @ mactual ) )
        | ( $false
          = ( street @ X5 @ mactual ) )
        | ( $false
          = ( event @ X3 @ mactual ) )
        | ( $false
          = ( down @ X3 @ X5 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( ( white @ X7 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_1])],[avatar_definition]) ).

thf(f1730,definition,
    ( spl1_93
  <=> ( ( eiw_di @ sK11 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_93])],[avatar_definition]) ).

thf(f1735,definition,
    ( spl1_94
  <=> ( $true
      = ( eiw_di @ sK12 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_94])],[avatar_definition]) ).

thf(f1755,definition,
    ( spl1_98
  <=> ( ( barrel @ sK11 @ sK12 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_98])],[avatar_definition]) ).

thf(f1775,definition,
    ( spl1_102
  <=> ( $true
      = ( old @ sK12 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_102])],[avatar_definition]) ).

thf(f1780,definition,
    ( spl1_103
  <=> ( ( dirty @ sK12 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_103])],[avatar_definition]) ).

thf(f1785,definition,
    ( spl1_104
  <=> ( $true
      = ( white @ sK12 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_104])],[avatar_definition]) ).

thf(f1790,definition,
    ( spl1_105
  <=> ( ( car @ sK12 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_105])],[avatar_definition]) ).

thf(f1795,definition,
    ( spl1_106
  <=> ( ( chevy @ sK12 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_106])],[avatar_definition]) ).

thf(f1800,definition,
    ( spl1_107
  <=> ( ( event @ sK11 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_107])],[avatar_definition]) ).

thf(f2902,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( down @ sK11 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK11 @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_93
    | ~ spl1_94
    | ~ spl1_98
    | ~ spl1_102
    | ~ spl1_103
    | ~ spl1_104
    | ~ spl1_105
    | ~ spl1_106
    | ~ spl1_107 ),
    inference(trivial_inequality_removal,[status(thm)],[f2901]) ).

thf(f2901,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( in @ sK11 @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK11 @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_93
    | ~ spl1_94
    | ~ spl1_98
    | ~ spl1_102
    | ~ spl1_103
    | ~ spl1_104
    | ~ spl1_105
    | ~ spl1_106
    | ~ spl1_107 ),
    inference(forward_demodulation,[status(thm)],[f2900,f1732]) ).

thf(f1732,plain,
    ( ( ( eiw_di @ sK11 @ mactual )
      = $true )
    | ~ spl1_93 ),
    inference(avatar_component_clause,[status(thm)],[f1730]) ).

thf(f2900,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK11 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK11 @ mactual ) )
        | ( $false
          = ( in @ sK11 @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_94
    | ~ spl1_98
    | ~ spl1_102
    | ~ spl1_103
    | ~ spl1_104
    | ~ spl1_105
    | ~ spl1_106
    | ~ spl1_107 ),
    inference(trivial_inequality_removal,[status(thm)],[f2899]) ).

thf(f2899,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK11 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK11 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK11 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false = $true ) )
    | ~ spl1_1
    | ~ spl1_94
    | ~ spl1_98
    | ~ spl1_102
    | ~ spl1_103
    | ~ spl1_104
    | ~ spl1_105
    | ~ spl1_106
    | ~ spl1_107 ),
    inference(forward_demodulation,[status(thm)],[f2898,f1737]) ).

thf(f1737,plain,
    ( ( $true
      = ( eiw_di @ sK12 @ mactual ) )
    | ~ spl1_94 ),
    inference(avatar_component_clause,[status(thm)],[f1735]) ).

thf(f2898,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( in @ sK11 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK12 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK11 @ mactual ) )
        | ( $false
          = ( down @ sK11 @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_98
    | ~ spl1_102
    | ~ spl1_103
    | ~ spl1_104
    | ~ spl1_105
    | ~ spl1_106
    | ~ spl1_107 ),
    inference(trivial_inequality_removal,[status(thm)],[f2897]) ).

thf(f2897,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK11 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK12 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK11 @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( eiw_di @ sK11 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_98
    | ~ spl1_102
    | ~ spl1_103
    | ~ spl1_104
    | ~ spl1_105
    | ~ spl1_106
    | ~ spl1_107 ),
    inference(forward_demodulation,[status(thm)],[f2896,f1782]) ).

thf(f1782,plain,
    ( ( ( dirty @ sK12 @ mactual )
      = $true )
    | ~ spl1_103 ),
    inference(avatar_component_clause,[status(thm)],[f1780]) ).

thf(f2896,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( in @ sK11 @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ sK12 @ mactual ) )
        | ( $false
          = ( down @ sK11 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK12 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK11 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_98
    | ~ spl1_102
    | ~ spl1_104
    | ~ spl1_105
    | ~ spl1_106
    | ~ spl1_107 ),
    inference(trivial_inequality_removal,[status(thm)],[f2895]) ).

thf(f2895,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK11 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK11 @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ sK12 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK11 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK12 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_98
    | ~ spl1_102
    | ~ spl1_104
    | ~ spl1_105
    | ~ spl1_106
    | ~ spl1_107 ),
    inference(forward_demodulation,[status(thm)],[f2894,f1792]) ).

thf(f1792,plain,
    ( ( ( car @ sK12 @ mactual )
      = $true )
    | ~ spl1_105 ),
    inference(avatar_component_clause,[status(thm)],[f1790]) ).

thf(f2894,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( car @ sK12 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK11 @ mactual ) )
        | ( $false
          = ( dirty @ sK12 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK12 @ mactual ) )
        | ( $false
          = ( in @ sK11 @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK11 @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_98
    | ~ spl1_102
    | ~ spl1_104
    | ~ spl1_106
    | ~ spl1_107 ),
    inference(trivial_inequality_removal,[status(thm)],[f2893]) ).

thf(f2893,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK11 @ X1 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( car @ sK12 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK12 @ mactual ) )
        | ( $false
          = ( dirty @ sK12 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK11 @ X0 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK11 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_98
    | ~ spl1_102
    | ~ spl1_104
    | ~ spl1_106
    | ~ spl1_107 ),
    inference(forward_demodulation,[status(thm)],[f2892,f1777]) ).

thf(f1777,plain,
    ( ( $true
      = ( old @ sK12 @ mactual ) )
    | ~ spl1_102 ),
    inference(avatar_component_clause,[status(thm)],[f1775]) ).

thf(f2892,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( down @ sK11 @ X0 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( old @ sK12 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK11 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK11 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( car @ sK12 @ mactual ) )
        | ( $false
          = ( dirty @ sK12 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK12 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_98
    | ~ spl1_104
    | ~ spl1_106
    | ~ spl1_107 ),
    inference(trivial_inequality_removal,[status(thm)],[f2891]) ).

thf(f2891,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( dirty @ sK12 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( old @ sK12 @ mactual ) )
        | ( $false
          = ( in @ sK11 @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK11 @ X0 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK12 @ mactual ) )
        | ( $false
          = ( car @ sK12 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK11 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_98
    | ~ spl1_104
    | ~ spl1_106
    | ~ spl1_107 ),
    inference(forward_demodulation,[status(thm)],[f2890,f1797]) ).

thf(f1797,plain,
    ( ( ( chevy @ sK12 @ mactual )
      = $true )
    | ~ spl1_106 ),
    inference(avatar_component_clause,[status(thm)],[f1795]) ).

thf(f2890,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( down @ sK11 @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK11 @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ sK12 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK11 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( car @ sK12 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( old @ sK12 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ sK12 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK12 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_98
    | ~ spl1_104
    | ~ spl1_107 ),
    inference(trivial_inequality_removal,[status(thm)],[f2889]) ).

thf(f2889,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false = $true )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK11 @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK11 @ X1 @ mactual ) )
        | ( $false
          = ( old @ sK12 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ sK12 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ sK12 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK11 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( car @ sK12 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK12 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_98
    | ~ spl1_104
    | ~ spl1_107 ),
    inference(forward_demodulation,[status(thm)],[f2888,f1787]) ).

thf(f1787,plain,
    ( ( $true
      = ( white @ sK12 @ mactual ) )
    | ~ spl1_104 ),
    inference(avatar_component_clause,[status(thm)],[f1785]) ).

thf(f2888,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( white @ sK12 @ mactual ) )
        | ( $false
          = ( down @ sK11 @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK11 @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( old @ sK12 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( car @ sK12 @ mactual ) )
        | ( $false
          = ( chevy @ sK12 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK12 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ sK12 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK11 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_98
    | ~ spl1_107 ),
    inference(trivial_inequality_removal,[status(thm)],[f2887]) ).

thf(f2887,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( car @ sK12 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( white @ sK12 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK11 @ mactual ) )
        | ( $false
          = ( dirty @ sK12 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK12 @ mactual ) )
        | ( $false
          = ( down @ sK11 @ X0 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( old @ sK12 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK11 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ sK12 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_98
    | ~ spl1_107 ),
    inference(forward_demodulation,[status(thm)],[f2862,f1802]) ).

thf(f1802,plain,
    ( ( ( event @ sK11 @ mactual )
      = $true )
    | ~ spl1_107 ),
    inference(avatar_component_clause,[status(thm)],[f1800]) ).

thf(f2862,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( in @ sK11 @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( white @ sK12 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ sK12 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK12 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK11 @ X0 @ mactual ) )
        | ( $false
          = ( old @ sK12 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK11 @ mactual ) )
        | ( $false
          = ( chevy @ sK12 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( car @ sK12 @ mactual ) )
        | ( $false
          = ( event @ sK11 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_98 ),
    inference(trivial_inequality_removal,[status(thm)],[f2860]) ).

thf(f2860,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( old @ sK12 @ mactual ) )
        | ( $false
          = ( dirty @ sK12 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( event @ sK11 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK11 @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK11 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK11 @ mactual ) )
        | ( $false
          = ( chevy @ sK12 @ mactual ) )
        | ( $false
          = ( car @ sK12 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK12 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( white @ sK12 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_98 ),
    inference(superposition,[status(thm)],[f1757,f1275]) ).

thf(f1275,plain,
    ( ! [X2: $i,X3: $i,X7: $i,X5: $i] :
        ( ( $false
          = ( down @ X3 @ X5 @ mactual ) )
        | ( $false
          = ( in @ X3 @ X2 @ mactual ) )
        | ( $false
          = ( barrel @ X3 @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X3 @ mactual ) )
        | ( $false
          = ( lonely @ X5 @ mactual ) )
        | ( $false
          = ( hollywood @ X2 @ mactual ) )
        | ( $false
          = ( city @ X2 @ mactual ) )
        | ( $false
          = ( street @ X5 @ mactual ) )
        | ( ( white @ X7 @ mactual )
          = $false )
        | ( $false
          = ( way @ X5 @ mactual ) )
        | ( $false
          = ( old @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X7 @ mactual ) )
        | ( ( eiw_di @ X5 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X7 @ mactual ) )
        | ( $false
          = ( chevy @ X7 @ mactual ) )
        | ( $false
          = ( event @ X3 @ mactual ) )
        | ( $false
          = ( car @ X7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X2 @ mactual ) ) )
    | ~ spl1_1 ),
    inference(avatar_component_clause,[status(thm)],[f1274]) ).

thf(f1757,plain,
    ( ( ( barrel @ sK11 @ sK12 @ mactual )
      = $true )
    | ~ spl1_98 ),
    inference(avatar_component_clause,[status(thm)],[f1755]) ).

thf(f2858,plain,
    ( ~ spl1_87
    | ~ spl1_159 ),
    inference(avatar_contradiction_clause,[status(thm)],[f2857]) ).

thf(f2857,plain,
    ( $false
    | ~ spl1_87
    | ~ spl1_159 ),
    inference(trivial_inequality_removal,[status(thm)],[f2856]) ).

thf(f2856,plain,
    ( ( $false = $true )
    | ~ spl1_87
    | ~ spl1_159 ),
    inference(backward_demodulation,[status(thm)],[f1702,f2851]) ).

thf(f2851,plain,
    ( ( $false
      = ( lonely @ sK4 @ mactual ) )
    | ~ spl1_159 ),
    inference(avatar_component_clause,[status(thm)],[f2849]) ).

thf(f2849,definition,
    ( spl1_159
  <=> ( $false
      = ( lonely @ sK4 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_159])],[avatar_definition]) ).

thf(f1702,plain,
    ( ( ( lonely @ sK4 @ mactual )
      = $true )
    | ~ spl1_87 ),
    inference(avatar_component_clause,[status(thm)],[f1700]) ).

thf(f1700,definition,
    ( spl1_87
  <=> ( ( lonely @ sK4 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_87])],[avatar_definition]) ).

thf(f2855,plain,
    ( spl1_159
    | spl1_158
    | ~ spl1_80
    | ~ spl1_88
    | ~ spl1_89
    | ~ spl1_137 ),
    inference(avatar_split_clause,[status(thm)],[f2854,f2194,f1710,f1705,f1665,f2845,f2849]) ).

thf(f1665,definition,
    ( spl1_80
  <=> ( ( down @ sK3 @ sK4 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_80])],[avatar_definition]) ).

thf(f1705,definition,
    ( spl1_88
  <=> ( ( way @ sK4 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_88])],[avatar_definition]) ).

thf(f1710,definition,
    ( spl1_89
  <=> ( ( street @ sK4 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_89])],[avatar_definition]) ).

thf(f2194,definition,
    ( spl1_137
  <=> ! [X0: $i] :
        ( ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_137])],[avatar_definition]) ).

thf(f2854,plain,
    ( ( $false
      = ( eiw_di @ sK4 @ mactual ) )
    | ( $false
      = ( lonely @ sK4 @ mactual ) )
    | ~ spl1_80
    | ~ spl1_88
    | ~ spl1_89
    | ~ spl1_137 ),
    inference(trivial_inequality_removal,[status(thm)],[f2853]) ).

thf(f2853,plain,
    ( ( $false = $true )
    | ( $false
      = ( lonely @ sK4 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK4 @ mactual ) )
    | ~ spl1_80
    | ~ spl1_88
    | ~ spl1_89
    | ~ spl1_137 ),
    inference(forward_demodulation,[status(thm)],[f2832,f1712]) ).

thf(f1712,plain,
    ( ( ( street @ sK4 @ mactual )
      = $true )
    | ~ spl1_89 ),
    inference(avatar_component_clause,[status(thm)],[f1710]) ).

thf(f2832,plain,
    ( ( $false
      = ( lonely @ sK4 @ mactual ) )
    | ( $false
      = ( street @ sK4 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK4 @ mactual ) )
    | ~ spl1_80
    | ~ spl1_88
    | ~ spl1_137 ),
    inference(trivial_inequality_removal,[status(thm)],[f2831]) ).

thf(f2831,plain,
    ( ( $false
      = ( eiw_di @ sK4 @ mactual ) )
    | ( $false
      = ( lonely @ sK4 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( street @ sK4 @ mactual ) )
    | ~ spl1_80
    | ~ spl1_88
    | ~ spl1_137 ),
    inference(forward_demodulation,[status(thm)],[f2830,f1707]) ).

thf(f1707,plain,
    ( ( ( way @ sK4 @ mactual )
      = $true )
    | ~ spl1_88 ),
    inference(avatar_component_clause,[status(thm)],[f1705]) ).

thf(f2830,plain,
    ( ( $false
      = ( way @ sK4 @ mactual ) )
    | ( $false
      = ( lonely @ sK4 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK4 @ mactual ) )
    | ( $false
      = ( street @ sK4 @ mactual ) )
    | ~ spl1_80
    | ~ spl1_137 ),
    inference(trivial_inequality_removal,[status(thm)],[f2827]) ).

thf(f2827,plain,
    ( ( $false
      = ( street @ sK4 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( way @ sK4 @ mactual ) )
    | ( $false
      = ( lonely @ sK4 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK4 @ mactual ) )
    | ~ spl1_80
    | ~ spl1_137 ),
    inference(superposition,[status(thm)],[f2195,f1667]) ).

thf(f1667,plain,
    ( ( ( down @ sK3 @ sK4 @ mactual )
      = $true )
    | ~ spl1_80 ),
    inference(avatar_component_clause,[status(thm)],[f1665]) ).

thf(f2195,plain,
    ( ! [X0: $i] :
        ( ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) ) )
    | ~ spl1_137 ),
    inference(avatar_component_clause,[status(thm)],[f2194]) ).

thf(f2839,plain,
    ( ~ spl1_77
    | ~ spl1_80
    | ~ spl1_87
    | ~ spl1_88
    | ~ spl1_89
    | ~ spl1_137 ),
    inference(avatar_contradiction_clause,[status(thm)],[f2838]) ).

thf(f2838,plain,
    ( $false
    | ~ spl1_77
    | ~ spl1_80
    | ~ spl1_87
    | ~ spl1_88
    | ~ spl1_89
    | ~ spl1_137 ),
    inference(trivial_inequality_removal,[status(thm)],[f2837]) ).

thf(f2837,plain,
    ( ( $false = $true )
    | ~ spl1_77
    | ~ spl1_80
    | ~ spl1_87
    | ~ spl1_88
    | ~ spl1_89
    | ~ spl1_137 ),
    inference(backward_demodulation,[status(thm)],[f1702,f2836]) ).

thf(f2836,plain,
    ( ( $false
      = ( lonely @ sK4 @ mactual ) )
    | ~ spl1_77
    | ~ spl1_80
    | ~ spl1_88
    | ~ spl1_89
    | ~ spl1_137 ),
    inference(trivial_inequality_removal,[status(thm)],[f2835]) ).

thf(f2835,plain,
    ( ( $false
      = ( lonely @ sK4 @ mactual ) )
    | ( $false = $true )
    | ~ spl1_77
    | ~ spl1_80
    | ~ spl1_88
    | ~ spl1_89
    | ~ spl1_137 ),
    inference(forward_demodulation,[status(thm)],[f2834,f1712]) ).

thf(f2834,plain,
    ( ( $false
      = ( street @ sK4 @ mactual ) )
    | ( $false
      = ( lonely @ sK4 @ mactual ) )
    | ~ spl1_77
    | ~ spl1_80
    | ~ spl1_88
    | ~ spl1_137 ),
    inference(trivial_inequality_removal,[status(thm)],[f2833]) ).

thf(f2833,plain,
    ( ( $false
      = ( lonely @ sK4 @ mactual ) )
    | ( $false
      = ( street @ sK4 @ mactual ) )
    | ( $false = $true )
    | ~ spl1_77
    | ~ spl1_80
    | ~ spl1_88
    | ~ spl1_137 ),
    inference(forward_demodulation,[status(thm)],[f2832,f1652]) ).

thf(f2825,plain,
    ( ~ spl1_38
    | ~ spl1_43
    | ~ spl1_55
    | ~ spl1_56
    | ~ spl1_143 ),
    inference(avatar_contradiction_clause,[status(thm)],[f2824]) ).

thf(f2824,plain,
    ( $false
    | ~ spl1_38
    | ~ spl1_43
    | ~ spl1_55
    | ~ spl1_56
    | ~ spl1_143 ),
    inference(trivial_inequality_removal,[status(thm)],[f2823]) ).

thf(f2823,plain,
    ( ( $false = $true )
    | ~ spl1_38
    | ~ spl1_43
    | ~ spl1_55
    | ~ spl1_56
    | ~ spl1_143 ),
    inference(backward_demodulation,[status(thm)],[f1544,f2822]) ).

thf(f2822,plain,
    ( ( $false
      = ( city @ sK19 @ mactual ) )
    | ~ spl1_38
    | ~ spl1_43
    | ~ spl1_56
    | ~ spl1_143 ),
    inference(trivial_inequality_removal,[status(thm)],[f2821]) ).

thf(f2821,plain,
    ( ( $false
      = ( city @ sK19 @ mactual ) )
    | ( $false = $true )
    | ~ spl1_38
    | ~ spl1_43
    | ~ spl1_56
    | ~ spl1_143 ),
    inference(forward_demodulation,[status(thm)],[f2820,f1460]) ).

thf(f1460,plain,
    ( ( ( eiw_di @ sK19 @ mactual )
      = $true )
    | ~ spl1_38 ),
    inference(avatar_component_clause,[status(thm)],[f1458]) ).

thf(f1458,definition,
    ( spl1_38
  <=> ( ( eiw_di @ sK19 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_38])],[avatar_definition]) ).

thf(f2820,plain,
    ( ( $false
      = ( city @ sK19 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK19 @ mactual ) )
    | ~ spl1_43
    | ~ spl1_56
    | ~ spl1_143 ),
    inference(trivial_inequality_removal,[status(thm)],[f2819]) ).

thf(f2819,plain,
    ( ( $false
      = ( eiw_di @ sK19 @ mactual ) )
    | ( $false
      = ( city @ sK19 @ mactual ) )
    | ( $false = $true )
    | ~ spl1_43
    | ~ spl1_56
    | ~ spl1_143 ),
    inference(forward_demodulation,[status(thm)],[f2818,f1549]) ).

thf(f1549,plain,
    ( ( $true
      = ( hollywood @ sK19 @ mactual ) )
    | ~ spl1_56 ),
    inference(avatar_component_clause,[status(thm)],[f1547]) ).

thf(f1547,definition,
    ( spl1_56
  <=> ( $true
      = ( hollywood @ sK19 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_56])],[avatar_definition]) ).

thf(f2818,plain,
    ( ( $false
      = ( city @ sK19 @ mactual ) )
    | ( $false
      = ( hollywood @ sK19 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK19 @ mactual ) )
    | ~ spl1_43
    | ~ spl1_143 ),
    inference(trivial_inequality_removal,[status(thm)],[f2815]) ).

thf(f2815,plain,
    ( ( $false
      = ( city @ sK19 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK19 @ mactual ) )
    | ( $false
      = ( hollywood @ sK19 @ mactual ) )
    | ( $false = $true )
    | ~ spl1_43
    | ~ spl1_143 ),
    inference(superposition,[status(thm)],[f2279,f1484]) ).

thf(f1484,plain,
    ( ( ( in @ sK20 @ sK19 @ mactual )
      = $true )
    | ~ spl1_43 ),
    inference(avatar_component_clause,[status(thm)],[f1482]) ).

thf(f1482,definition,
    ( spl1_43
  <=> ( ( in @ sK20 @ sK19 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_43])],[avatar_definition]) ).

thf(f2279,plain,
    ( ! [X1: $i] :
        ( ( $false
          = ( in @ sK20 @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) ) )
    | ~ spl1_143 ),
    inference(avatar_component_clause,[status(thm)],[f2278]) ).

thf(f2278,definition,
    ( spl1_143
  <=> ! [X1: $i] :
        ( ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK20 @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_143])],[avatar_definition]) ).

thf(f1544,plain,
    ( ( ( city @ sK19 @ mactual )
      = $true )
    | ~ spl1_55 ),
    inference(avatar_component_clause,[status(thm)],[f1542]) ).

thf(f1542,definition,
    ( spl1_55
  <=> ( ( city @ sK19 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_55])],[avatar_definition]) ).

thf(f2809,plain,
    ( spl1_147
    | spl1_137
    | ~ spl1_1
    | ~ spl1_58
    | ~ spl1_90
    | ~ spl1_111
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_114
    | ~ spl1_115
    | ~ spl1_116
    | ~ spl1_117 ),
    inference(avatar_split_clause,[status(thm)],[f2808,f1851,f1846,f1841,f1836,f1831,f1826,f1819,f1715,f1556,f1274,f2194,f2394]) ).

thf(f2394,definition,
    ( spl1_147
  <=> ! [X0: $i] :
        ( ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK3 @ X0 @ mactual ) ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_147])],[avatar_definition]) ).

thf(f1556,definition,
    ( spl1_58
  <=> ( ( eiw_di @ sK3 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_58])],[avatar_definition]) ).

thf(f1715,definition,
    ( spl1_90
  <=> ( ( event @ sK3 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_90])],[avatar_definition]) ).

thf(f2808,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_58
    | ~ spl1_90
    | ~ spl1_111
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_114
    | ~ spl1_115
    | ~ spl1_116
    | ~ spl1_117 ),
    inference(trivial_inequality_removal,[status(thm)],[f2807]) ).

thf(f2807,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false = $true ) )
    | ~ spl1_1
    | ~ spl1_58
    | ~ spl1_90
    | ~ spl1_111
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_114
    | ~ spl1_115
    | ~ spl1_116
    | ~ spl1_117 ),
    inference(forward_demodulation,[status(thm)],[f2806,f1838]) ).

thf(f2806,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ sK6 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_58
    | ~ spl1_90
    | ~ spl1_111
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_115
    | ~ spl1_116
    | ~ spl1_117 ),
    inference(trivial_inequality_removal,[status(thm)],[f2805]) ).

thf(f2805,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ sK6 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_58
    | ~ spl1_90
    | ~ spl1_111
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_115
    | ~ spl1_116
    | ~ spl1_117 ),
    inference(forward_demodulation,[status(thm)],[f2804,f1848]) ).

thf(f2804,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( car @ sK6 @ mactual ) )
        | ( $false
          = ( dirty @ sK6 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_58
    | ~ spl1_90
    | ~ spl1_111
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_115
    | ~ spl1_117 ),
    inference(trivial_inequality_removal,[status(thm)],[f2803]) ).

thf(f2803,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ sK6 @ mactual ) )
        | ( $false
          = ( car @ sK6 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_58
    | ~ spl1_90
    | ~ spl1_111
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_115
    | ~ spl1_117 ),
    inference(forward_demodulation,[status(thm)],[f2802,f1558]) ).

thf(f1558,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ~ spl1_58 ),
    inference(avatar_component_clause,[status(thm)],[f1556]) ).

thf(f2802,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK3 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ sK6 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( car @ sK6 @ mactual ) )
        | ( $false
          = ( in @ sK3 @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_90
    | ~ spl1_111
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_115
    | ~ spl1_117 ),
    inference(trivial_inequality_removal,[status(thm)],[f2801]) ).

thf(f2801,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( car @ sK6 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK3 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ sK6 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK3 @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_90
    | ~ spl1_111
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_115
    | ~ spl1_117 ),
    inference(forward_demodulation,[status(thm)],[f2800,f1717]) ).

thf(f1717,plain,
    ( ( ( event @ sK3 @ mactual )
      = $true )
    | ~ spl1_90 ),
    inference(avatar_component_clause,[status(thm)],[f1715]) ).

thf(f2800,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( in @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( event @ sK3 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( car @ sK6 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ sK6 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_111
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_115
    | ~ spl1_117 ),
    inference(trivial_inequality_removal,[status(thm)],[f2799]) ).

thf(f2799,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ sK6 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( car @ sK6 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( event @ sK3 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_111
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_115
    | ~ spl1_117 ),
    inference(forward_demodulation,[status(thm)],[f2798,f1821]) ).

thf(f2798,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ sK6 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( car @ sK6 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( event @ sK3 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ sK6 @ mactual ) )
        | ( $false
          = ( in @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK3 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_115
    | ~ spl1_117 ),
    inference(trivial_inequality_removal,[status(thm)],[f2797]) ).

thf(f2797,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( in @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( event @ sK3 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK6 @ mactual ) )
        | ( $false
          = ( car @ sK6 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK3 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ sK6 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_112
    | ~ spl1_113
    | ~ spl1_115
    | ~ spl1_117 ),
    inference(forward_demodulation,[status(thm)],[f2796,f1833]) ).

thf(f2796,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK6 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK3 @ mactual ) )
        | ( $false
          = ( car @ sK6 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( event @ sK3 @ mactual ) )
        | ( $false
          = ( old @ sK6 @ mactual ) )
        | ( $false
          = ( dirty @ sK6 @ mactual ) )
        | ( $false
          = ( in @ sK3 @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_112
    | ~ spl1_115
    | ~ spl1_117 ),
    inference(trivial_inequality_removal,[status(thm)],[f2795]) ).

thf(f2795,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( old @ sK6 @ mactual ) )
        | ( $false
          = ( in @ sK3 @ X1 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK3 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ sK6 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK6 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( event @ sK3 @ mactual ) )
        | ( $false
          = ( car @ sK6 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_112
    | ~ spl1_115
    | ~ spl1_117 ),
    inference(forward_demodulation,[status(thm)],[f2794,f1843]) ).

thf(f2794,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( in @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( white @ sK6 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( event @ sK3 @ mactual ) )
        | ( $false
          = ( car @ sK6 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK6 @ mactual ) )
        | ( $false
          = ( old @ sK6 @ mactual ) )
        | ( $false
          = ( dirty @ sK6 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK3 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_112
    | ~ spl1_117 ),
    inference(trivial_inequality_removal,[status(thm)],[f2793]) ).

thf(f2793,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK6 @ mactual ) )
        | ( $false
          = ( car @ sK6 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( old @ sK6 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( white @ sK6 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK3 @ mactual ) )
        | ( $false
          = ( event @ sK3 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ sK6 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_112
    | ~ spl1_117 ),
    inference(forward_demodulation,[status(thm)],[f2410,f1853]) ).

thf(f2410,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ sK6 @ mactual ) )
        | ( $false
          = ( car @ sK6 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( event @ sK3 @ mactual ) )
        | ( $false
          = ( dirty @ sK6 @ mactual ) )
        | ( $false
          = ( in @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK6 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK3 @ mactual ) )
        | ( $false
          = ( white @ sK6 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( old @ sK6 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_112 ),
    inference(trivial_inequality_removal,[status(thm)],[f2409]) ).

thf(f2409,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( white @ sK6 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( event @ sK3 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( old @ sK6 @ mactual ) )
        | ( $false
          = ( car @ sK6 @ mactual ) )
        | ( $false
          = ( in @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK3 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK6 @ mactual ) )
        | ( $false
          = ( chevy @ sK6 @ mactual ) )
        | ( $false
          = ( dirty @ sK6 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_112 ),
    inference(superposition,[status(thm)],[f1275,f1828]) ).

thf(f2775,plain,
    ( ~ spl1_91
    | ~ spl1_157 ),
    inference(avatar_contradiction_clause,[status(thm)],[f2774]) ).

thf(f2774,plain,
    ( $false
    | ~ spl1_91
    | ~ spl1_157 ),
    inference(trivial_inequality_removal,[status(thm)],[f2773]) ).

thf(f2773,plain,
    ( ( $false = $true )
    | ~ spl1_91
    | ~ spl1_157 ),
    inference(backward_demodulation,[status(thm)],[f1722,f2767]) ).

thf(f2767,plain,
    ( ( $false
      = ( city @ sK2 @ mactual ) )
    | ~ spl1_157 ),
    inference(avatar_component_clause,[status(thm)],[f2765]) ).

thf(f2765,definition,
    ( spl1_157
  <=> ( $false
      = ( city @ sK2 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_157])],[avatar_definition]) ).

thf(f1722,plain,
    ( ( ( city @ sK2 @ mactual )
      = $true )
    | ~ spl1_91 ),
    inference(avatar_component_clause,[status(thm)],[f1720]) ).

thf(f1720,definition,
    ( spl1_91
  <=> ( ( city @ sK2 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_91])],[avatar_definition]) ).

thf(f2772,plain,
    ( spl1_157
    | ~ spl1_79
    | spl1_139
    | spl1_141
    | ~ spl1_147 ),
    inference(avatar_split_clause,[status(thm)],[f2771,f2394,f2244,f2218,f1660,f2765]) ).

thf(f1660,definition,
    ( spl1_79
  <=> ( $true
      = ( in @ sK3 @ sK2 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_79])],[avatar_definition]) ).

thf(f2218,definition,
    ( spl1_139
  <=> ( $false
      = ( eiw_di @ sK2 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_139])],[avatar_definition]) ).

thf(f2244,definition,
    ( spl1_141
  <=> ( $false
      = ( hollywood @ sK2 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_141])],[avatar_definition]) ).

thf(f2771,plain,
    ( ( $false
      = ( city @ sK2 @ mactual ) )
    | ~ spl1_79
    | spl1_139
    | spl1_141
    | ~ spl1_147 ),
    inference(subsumption_resolution,[status(thm)],[f2770,f2245]) ).

thf(f2245,plain,
    ( ( $false
     != ( hollywood @ sK2 @ mactual ) )
    | spl1_141 ),
    inference(avatar_component_clause,[status(thm)],[f2244]) ).

thf(f2770,plain,
    ( ( $false
      = ( hollywood @ sK2 @ mactual ) )
    | ( $false
      = ( city @ sK2 @ mactual ) )
    | ~ spl1_79
    | spl1_139
    | ~ spl1_147 ),
    inference(subsumption_resolution,[status(thm)],[f2465,f2219]) ).

thf(f2219,plain,
    ( ( $false
     != ( eiw_di @ sK2 @ mactual ) )
    | spl1_139 ),
    inference(avatar_component_clause,[status(thm)],[f2218]) ).

thf(f2465,plain,
    ( ( $false
      = ( eiw_di @ sK2 @ mactual ) )
    | ( $false
      = ( hollywood @ sK2 @ mactual ) )
    | ( $false
      = ( city @ sK2 @ mactual ) )
    | ~ spl1_79
    | ~ spl1_147 ),
    inference(trivial_inequality_removal,[status(thm)],[f2464]) ).

thf(f2464,plain,
    ( ( $false = $true )
    | ( $false
      = ( eiw_di @ sK2 @ mactual ) )
    | ( $false
      = ( hollywood @ sK2 @ mactual ) )
    | ( $false
      = ( city @ sK2 @ mactual ) )
    | ~ spl1_79
    | ~ spl1_147 ),
    inference(superposition,[status(thm)],[f1662,f2395]) ).

thf(f2395,plain,
    ( ! [X0: $i] :
        ( ( $false
          = ( in @ sK3 @ X0 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) ) )
    | ~ spl1_147 ),
    inference(avatar_component_clause,[status(thm)],[f2394]) ).

thf(f1662,plain,
    ( ( $true
      = ( in @ sK3 @ sK2 @ mactual ) )
    | ~ spl1_79 ),
    inference(avatar_component_clause,[status(thm)],[f1660]) ).

thf(f2754,plain,
    ( ~ spl1_39
    | ~ spl1_139 ),
    inference(avatar_contradiction_clause,[status(thm)],[f2753]) ).

thf(f2753,plain,
    ( $false
    | ~ spl1_39
    | ~ spl1_139 ),
    inference(trivial_inequality_removal,[status(thm)],[f2752]) ).

thf(f2752,plain,
    ( ( $false = $true )
    | ~ spl1_39
    | ~ spl1_139 ),
    inference(forward_demodulation,[status(thm)],[f1464,f2220]) ).

thf(f2220,plain,
    ( ( $false
      = ( eiw_di @ sK2 @ mactual ) )
    | ~ spl1_139 ),
    inference(avatar_component_clause,[status(thm)],[f2218]) ).

thf(f1464,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ~ spl1_39 ),
    inference(avatar_component_clause,[status(thm)],[f1462]) ).

thf(f1462,definition,
    ( spl1_39
  <=> ( ( eiw_di @ sK2 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_39])],[avatar_definition]) ).

thf(f2746,plain,
    ( spl1_155
    | spl1_149
    | spl1_150
    | ~ spl1_1
    | ~ spl1_110
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_126
    | ~ spl1_127
    | ~ spl1_128
    | ~ spl1_130
    | ~ spl1_131 ),
    inference(avatar_split_clause,[status(thm)],[f2745,f1941,f1936,f1926,f1921,f1916,f1896,f1862,f1815,f1274,f2491,f2488,f2709]) ).

thf(f2488,definition,
    ( spl1_149
  <=> ! [X1: $i] :
        ( ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_149])],[avatar_definition]) ).

thf(f1815,definition,
    ( spl1_110
  <=> ( ( eiw_di @ sK7 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_110])],[avatar_definition]) ).

thf(f1862,definition,
    ( spl1_118
  <=> ( ( eiw_di @ sK8 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_118])],[avatar_definition]) ).

thf(f1896,definition,
    ( spl1_122
  <=> ( ( barrel @ sK7 @ sK8 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_122])],[avatar_definition]) ).

thf(f1916,definition,
    ( spl1_126
  <=> ( ( old @ sK8 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_126])],[avatar_definition]) ).

thf(f1921,definition,
    ( spl1_127
  <=> ( ( dirty @ sK8 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_127])],[avatar_definition]) ).

thf(f1926,definition,
    ( spl1_128
  <=> ( $true
      = ( white @ sK8 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_128])],[avatar_definition]) ).

thf(f1936,definition,
    ( spl1_130
  <=> ( ( chevy @ sK8 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_130])],[avatar_definition]) ).

thf(f1941,definition,
    ( spl1_131
  <=> ( ( event @ sK7 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_131])],[avatar_definition]) ).

thf(f2745,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( car @ sK8 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_110
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_126
    | ~ spl1_127
    | ~ spl1_128
    | ~ spl1_130
    | ~ spl1_131 ),
    inference(trivial_inequality_removal,[status(thm)],[f2744]) ).

thf(f2744,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false = $true )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( car @ sK8 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_110
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_126
    | ~ spl1_127
    | ~ spl1_128
    | ~ spl1_130
    | ~ spl1_131 ),
    inference(forward_demodulation,[status(thm)],[f2743,f1928]) ).

thf(f1928,plain,
    ( ( $true
      = ( white @ sK8 @ mactual ) )
    | ~ spl1_128 ),
    inference(avatar_component_clause,[status(thm)],[f1926]) ).

thf(f2743,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( white @ sK8 @ mactual ) )
        | ( $false
          = ( car @ sK8 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_110
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_126
    | ~ spl1_127
    | ~ spl1_130
    | ~ spl1_131 ),
    inference(trivial_inequality_removal,[status(thm)],[f2742]) ).

thf(f2742,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( white @ sK8 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( car @ sK8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_110
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_126
    | ~ spl1_127
    | ~ spl1_130
    | ~ spl1_131 ),
    inference(forward_demodulation,[status(thm)],[f2741,f1918]) ).

thf(f1918,plain,
    ( ( ( old @ sK8 @ mactual )
      = $true )
    | ~ spl1_126 ),
    inference(avatar_component_clause,[status(thm)],[f1916]) ).

thf(f2741,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( old @ sK8 @ mactual ) )
        | ( $false
          = ( car @ sK8 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( white @ sK8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_110
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_127
    | ~ spl1_130
    | ~ spl1_131 ),
    inference(trivial_inequality_removal,[status(thm)],[f2740]) ).

thf(f2740,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( car @ sK8 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( white @ sK8 @ mactual ) )
        | ( $false
          = ( old @ sK8 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_110
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_127
    | ~ spl1_130
    | ~ spl1_131 ),
    inference(forward_demodulation,[status(thm)],[f2739,f1817]) ).

thf(f1817,plain,
    ( ( ( eiw_di @ sK7 @ mactual )
      = $true )
    | ~ spl1_110 ),
    inference(avatar_component_clause,[status(thm)],[f1815]) ).

thf(f2739,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK7 @ mactual ) )
        | ( $false
          = ( white @ sK8 @ mactual ) )
        | ( $false
          = ( old @ sK8 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( car @ sK8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_127
    | ~ spl1_130
    | ~ spl1_131 ),
    inference(trivial_inequality_removal,[status(thm)],[f2738]) ).

thf(f2738,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( old @ sK8 @ mactual ) )
        | ( $false
          = ( car @ sK8 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK7 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( white @ sK8 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_127
    | ~ spl1_130
    | ~ spl1_131 ),
    inference(forward_demodulation,[status(thm)],[f2499,f1938]) ).

thf(f1938,plain,
    ( ( ( chevy @ sK8 @ mactual )
      = $true )
    | ~ spl1_130 ),
    inference(avatar_component_clause,[status(thm)],[f1936]) ).

thf(f2499,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( chevy @ sK8 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( old @ sK8 @ mactual ) )
        | ( $false
          = ( car @ sK8 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( white @ sK8 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK7 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_127
    | ~ spl1_131 ),
    inference(trivial_inequality_removal,[status(thm)],[f2498]) ).

thf(f2498,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( car @ sK8 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ sK8 @ mactual ) )
        | ( $false
          = ( white @ sK8 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK7 @ mactual ) )
        | ( $false
          = ( old @ sK8 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_127
    | ~ spl1_131 ),
    inference(forward_demodulation,[status(thm)],[f2497,f1943]) ).

thf(f1943,plain,
    ( ( ( event @ sK7 @ mactual )
      = $true )
    | ~ spl1_131 ),
    inference(avatar_component_clause,[status(thm)],[f1941]) ).

thf(f2497,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( event @ sK7 @ mactual ) )
        | ( $false
          = ( old @ sK8 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ sK8 @ mactual ) )
        | ( $false
          = ( car @ sK8 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( white @ sK8 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_127 ),
    inference(trivial_inequality_removal,[status(thm)],[f2496]) ).

thf(f2496,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( car @ sK8 @ mactual ) )
        | ( $false
          = ( chevy @ sK8 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( white @ sK8 @ mactual ) )
        | ( $false
          = ( event @ sK7 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK7 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( old @ sK8 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_127 ),
    inference(forward_demodulation,[status(thm)],[f2495,f1923]) ).

thf(f1923,plain,
    ( ( ( dirty @ sK8 @ mactual )
      = $true )
    | ~ spl1_127 ),
    inference(avatar_component_clause,[status(thm)],[f1921]) ).

thf(f2495,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( dirty @ sK8 @ mactual ) )
        | ( $false
          = ( event @ sK7 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK7 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( car @ sK8 @ mactual ) )
        | ( $false
          = ( white @ sK8 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( old @ sK8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ sK8 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_118
    | ~ spl1_122 ),
    inference(trivial_inequality_removal,[status(thm)],[f2494]) ).

thf(f2494,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( car @ sK8 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( dirty @ sK8 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK7 @ mactual ) )
        | ( $false
          = ( old @ sK8 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( white @ sK8 @ mactual ) )
        | ( $false
          = ( event @ sK7 @ mactual ) )
        | ( $false
          = ( chevy @ sK8 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_118
    | ~ spl1_122 ),
    inference(forward_demodulation,[status(thm)],[f2469,f1864]) ).

thf(f1864,plain,
    ( ( ( eiw_di @ sK8 @ mactual )
      = $true )
    | ~ spl1_118 ),
    inference(avatar_component_clause,[status(thm)],[f1862]) ).

thf(f2469,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ sK8 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK7 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( event @ sK7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( car @ sK8 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( old @ sK8 @ mactual ) )
        | ( $false
          = ( chevy @ sK8 @ mactual ) )
        | ( $false
          = ( dirty @ sK8 @ mactual ) )
        | ( $false
          = ( white @ sK8 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_122 ),
    inference(trivial_inequality_removal,[status(thm)],[f2468]) ).

thf(f2468,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( dirty @ sK8 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK8 @ mactual ) )
        | ( $false
          = ( car @ sK8 @ mactual ) )
        | ( $false
          = ( chevy @ sK8 @ mactual ) )
        | ( $false
          = ( old @ sK8 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( white @ sK8 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( event @ sK7 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_122 ),
    inference(superposition,[status(thm)],[f1275,f1898]) ).

thf(f1898,plain,
    ( ( ( barrel @ sK7 @ sK8 @ mactual )
      = $true )
    | ~ spl1_122 ),
    inference(avatar_component_clause,[status(thm)],[f1896]) ).

thf(f2737,plain,
    ( ~ spl1_92
    | ~ spl1_141 ),
    inference(avatar_contradiction_clause,[status(thm)],[f2736]) ).

thf(f2736,plain,
    ( $false
    | ~ spl1_92
    | ~ spl1_141 ),
    inference(trivial_inequality_removal,[status(thm)],[f2735]) ).

thf(f2735,plain,
    ( ( $false = $true )
    | ~ spl1_92
    | ~ spl1_141 ),
    inference(forward_demodulation,[status(thm)],[f1727,f2246]) ).

thf(f2246,plain,
    ( ( $false
      = ( hollywood @ sK2 @ mactual ) )
    | ~ spl1_141 ),
    inference(avatar_component_clause,[status(thm)],[f2244]) ).

thf(f1727,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ~ spl1_92 ),
    inference(avatar_component_clause,[status(thm)],[f1725]) ).

thf(f1725,definition,
    ( spl1_92
  <=> ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_92])],[avatar_definition]) ).

thf(f2694,plain,
    ( ~ spl1_132
    | ~ spl1_133
    | ~ spl1_134
    | ~ spl1_135
    | ~ spl1_136
    | ~ spl1_150 ),
    inference(avatar_contradiction_clause,[status(thm)],[f2693]) ).

thf(f2693,plain,
    ( $false
    | ~ spl1_132
    | ~ spl1_133
    | ~ spl1_134
    | ~ spl1_135
    | ~ spl1_136
    | ~ spl1_150 ),
    inference(trivial_inequality_removal,[status(thm)],[f2692]) ).

thf(f2692,plain,
    ( ( $false = $true )
    | ~ spl1_132
    | ~ spl1_133
    | ~ spl1_134
    | ~ spl1_135
    | ~ spl1_136
    | ~ spl1_150 ),
    inference(backward_demodulation,[status(thm)],[f1975,f2691]) ).

thf(f2691,plain,
    ( ( $false
      = ( lonely @ sK9 @ mactual ) )
    | ~ spl1_132
    | ~ spl1_133
    | ~ spl1_135
    | ~ spl1_136
    | ~ spl1_150 ),
    inference(trivial_inequality_removal,[status(thm)],[f2690]) ).

thf(f2690,plain,
    ( ( $false
      = ( lonely @ sK9 @ mactual ) )
    | ( $false = $true )
    | ~ spl1_132
    | ~ spl1_133
    | ~ spl1_135
    | ~ spl1_136
    | ~ spl1_150 ),
    inference(forward_demodulation,[status(thm)],[f2689,f1985]) ).

thf(f1985,plain,
    ( ( ( street @ sK9 @ mactual )
      = $true )
    | ~ spl1_136 ),
    inference(avatar_component_clause,[status(thm)],[f1983]) ).

thf(f1983,definition,
    ( spl1_136
  <=> ( ( street @ sK9 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_136])],[avatar_definition]) ).

thf(f2689,plain,
    ( ( $false
      = ( street @ sK9 @ mactual ) )
    | ( $false
      = ( lonely @ sK9 @ mactual ) )
    | ~ spl1_132
    | ~ spl1_133
    | ~ spl1_135
    | ~ spl1_150 ),
    inference(trivial_inequality_removal,[status(thm)],[f2688]) ).

thf(f2688,plain,
    ( ( $false
      = ( street @ sK9 @ mactual ) )
    | ( $false
      = ( lonely @ sK9 @ mactual ) )
    | ( $false = $true )
    | ~ spl1_132
    | ~ spl1_133
    | ~ spl1_135
    | ~ spl1_150 ),
    inference(forward_demodulation,[status(thm)],[f2687,f1980]) ).

thf(f1980,plain,
    ( ( ( way @ sK9 @ mactual )
      = $true )
    | ~ spl1_135 ),
    inference(avatar_component_clause,[status(thm)],[f1978]) ).

thf(f1978,definition,
    ( spl1_135
  <=> ( ( way @ sK9 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_135])],[avatar_definition]) ).

thf(f2687,plain,
    ( ( $false
      = ( way @ sK9 @ mactual ) )
    | ( $false
      = ( lonely @ sK9 @ mactual ) )
    | ( $false
      = ( street @ sK9 @ mactual ) )
    | ~ spl1_132
    | ~ spl1_133
    | ~ spl1_150 ),
    inference(trivial_inequality_removal,[status(thm)],[f2686]) ).

thf(f2686,plain,
    ( ( $false
      = ( way @ sK9 @ mactual ) )
    | ( $false
      = ( street @ sK9 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( lonely @ sK9 @ mactual ) )
    | ~ spl1_132
    | ~ spl1_133
    | ~ spl1_150 ),
    inference(forward_demodulation,[status(thm)],[f2685,f1950]) ).

thf(f1950,plain,
    ( ( ( eiw_di @ sK9 @ mactual )
      = $true )
    | ~ spl1_132 ),
    inference(avatar_component_clause,[status(thm)],[f1948]) ).

thf(f1948,definition,
    ( spl1_132
  <=> ( ( eiw_di @ sK9 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_132])],[avatar_definition]) ).

thf(f2685,plain,
    ( ( $false
      = ( eiw_di @ sK9 @ mactual ) )
    | ( $false
      = ( lonely @ sK9 @ mactual ) )
    | ( $false
      = ( way @ sK9 @ mactual ) )
    | ( $false
      = ( street @ sK9 @ mactual ) )
    | ~ spl1_133
    | ~ spl1_150 ),
    inference(trivial_inequality_removal,[status(thm)],[f2682]) ).

thf(f2682,plain,
    ( ( $false
      = ( lonely @ sK9 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK9 @ mactual ) )
    | ( $false
      = ( way @ sK9 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( street @ sK9 @ mactual ) )
    | ~ spl1_133
    | ~ spl1_150 ),
    inference(superposition,[status(thm)],[f2492,f1969]) ).

thf(f1969,plain,
    ( ( $true
      = ( down @ sK7 @ sK9 @ mactual ) )
    | ~ spl1_133 ),
    inference(avatar_component_clause,[status(thm)],[f1967]) ).

thf(f1967,definition,
    ( spl1_133
  <=> ( $true
      = ( down @ sK7 @ sK9 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_133])],[avatar_definition]) ).

thf(f1975,plain,
    ( ( ( lonely @ sK9 @ mactual )
      = $true )
    | ~ spl1_134 ),
    inference(avatar_component_clause,[status(thm)],[f1973]) ).

thf(f1973,definition,
    ( spl1_134
  <=> ( ( lonely @ sK9 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_134])],[avatar_definition]) ).

thf(f2655,plain,
    ( ~ spl1_76
    | ~ spl1_108
    | ~ spl1_109
    | ~ spl1_120
    | ~ spl1_149 ),
    inference(avatar_contradiction_clause,[status(thm)],[f2654]) ).

thf(f2654,plain,
    ( $false
    | ~ spl1_76
    | ~ spl1_108
    | ~ spl1_109
    | ~ spl1_120
    | ~ spl1_149 ),
    inference(trivial_inequality_removal,[status(thm)],[f2653]) ).

thf(f2653,plain,
    ( ( $false = $true )
    | ~ spl1_76
    | ~ spl1_108
    | ~ spl1_109
    | ~ spl1_120
    | ~ spl1_149 ),
    inference(backward_demodulation,[status(thm)],[f1807,f2652]) ).

thf(f2652,plain,
    ( ( $false
      = ( city @ sK5 @ mactual ) )
    | ~ spl1_76
    | ~ spl1_109
    | ~ spl1_120
    | ~ spl1_149 ),
    inference(trivial_inequality_removal,[status(thm)],[f2651]) ).

thf(f2651,plain,
    ( ( $false
      = ( city @ sK5 @ mactual ) )
    | ( $false = $true )
    | ~ spl1_76
    | ~ spl1_109
    | ~ spl1_120
    | ~ spl1_149 ),
    inference(forward_demodulation,[status(thm)],[f2650,f1812]) ).

thf(f2650,plain,
    ( ( $false
      = ( city @ sK5 @ mactual ) )
    | ( $false
      = ( hollywood @ sK5 @ mactual ) )
    | ~ spl1_76
    | ~ spl1_120
    | ~ spl1_149 ),
    inference(trivial_inequality_removal,[status(thm)],[f2649]) ).

thf(f2649,plain,
    ( ( $false = $true )
    | ( $false
      = ( city @ sK5 @ mactual ) )
    | ( $false
      = ( hollywood @ sK5 @ mactual ) )
    | ~ spl1_76
    | ~ spl1_120
    | ~ spl1_149 ),
    inference(forward_demodulation,[status(thm)],[f2648,f1648]) ).

thf(f2648,plain,
    ( ( $false
      = ( eiw_di @ sK5 @ mactual ) )
    | ( $false
      = ( hollywood @ sK5 @ mactual ) )
    | ( $false
      = ( city @ sK5 @ mactual ) )
    | ~ spl1_120
    | ~ spl1_149 ),
    inference(trivial_inequality_removal,[status(thm)],[f2645]) ).

thf(f2645,plain,
    ( ( $false
      = ( hollywood @ sK5 @ mactual ) )
    | ( $false
      = ( city @ sK5 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( eiw_di @ sK5 @ mactual ) )
    | ~ spl1_120
    | ~ spl1_149 ),
    inference(superposition,[status(thm)],[f2489,f1888]) ).

thf(f1888,plain,
    ( ( $true
      = ( in @ sK7 @ sK5 @ mactual ) )
    | ~ spl1_120 ),
    inference(avatar_component_clause,[status(thm)],[f1886]) ).

thf(f1886,definition,
    ( spl1_120
  <=> ( $true
      = ( in @ sK7 @ sK5 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_120])],[avatar_definition]) ).

thf(f2489,plain,
    ( ! [X1: $i] :
        ( ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) ) )
    | ~ spl1_149 ),
    inference(avatar_component_clause,[status(thm)],[f2488]) ).

thf(f2611,plain,
    ( ~ spl1_60
    | ~ spl1_64
    | ~ spl1_68
    | ~ spl1_69
    | ~ spl1_70
    | ~ spl1_71
    | ~ spl1_72
    | ~ spl1_148 ),
    inference(avatar_contradiction_clause,[status(thm)],[f2610]) ).

thf(f2610,plain,
    ( $false
    | ~ spl1_60
    | ~ spl1_64
    | ~ spl1_68
    | ~ spl1_69
    | ~ spl1_70
    | ~ spl1_71
    | ~ spl1_72
    | ~ spl1_148 ),
    inference(trivial_inequality_removal,[status(thm)],[f2609]) ).

thf(f2609,plain,
    ( ( $false = $true )
    | ~ spl1_60
    | ~ spl1_64
    | ~ spl1_68
    | ~ spl1_69
    | ~ spl1_70
    | ~ spl1_71
    | ~ spl1_72
    | ~ spl1_148 ),
    inference(backward_demodulation,[status(thm)],[f1623,f2608]) ).

thf(f2608,plain,
    ( ( $false
      = ( car @ sK17 @ mactual ) )
    | ~ spl1_60
    | ~ spl1_64
    | ~ spl1_68
    | ~ spl1_69
    | ~ spl1_70
    | ~ spl1_72
    | ~ spl1_148 ),
    inference(trivial_inequality_removal,[status(thm)],[f2607]) ).

thf(f2607,plain,
    ( ( $false
      = ( car @ sK17 @ mactual ) )
    | ( $false = $true )
    | ~ spl1_60
    | ~ spl1_64
    | ~ spl1_68
    | ~ spl1_69
    | ~ spl1_70
    | ~ spl1_72
    | ~ spl1_148 ),
    inference(forward_demodulation,[status(thm)],[f2606,f1628]) ).

thf(f1628,plain,
    ( ( ( chevy @ sK17 @ mactual )
      = $true )
    | ~ spl1_72 ),
    inference(avatar_component_clause,[status(thm)],[f1626]) ).

thf(f1626,definition,
    ( spl1_72
  <=> ( ( chevy @ sK17 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_72])],[avatar_definition]) ).

thf(f2606,plain,
    ( ( $false
      = ( chevy @ sK17 @ mactual ) )
    | ( $false
      = ( car @ sK17 @ mactual ) )
    | ~ spl1_60
    | ~ spl1_64
    | ~ spl1_68
    | ~ spl1_69
    | ~ spl1_70
    | ~ spl1_148 ),
    inference(trivial_inequality_removal,[status(thm)],[f2605]) ).

thf(f2605,plain,
    ( ( $false = $true )
    | ( $false
      = ( car @ sK17 @ mactual ) )
    | ( $false
      = ( chevy @ sK17 @ mactual ) )
    | ~ spl1_60
    | ~ spl1_64
    | ~ spl1_68
    | ~ spl1_69
    | ~ spl1_70
    | ~ spl1_148 ),
    inference(forward_demodulation,[status(thm)],[f2604,f1613]) ).

thf(f1613,plain,
    ( ( $true
      = ( dirty @ sK17 @ mactual ) )
    | ~ spl1_69 ),
    inference(avatar_component_clause,[status(thm)],[f1611]) ).

thf(f1611,definition,
    ( spl1_69
  <=> ( $true
      = ( dirty @ sK17 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_69])],[avatar_definition]) ).

thf(f2604,plain,
    ( ( $false
      = ( dirty @ sK17 @ mactual ) )
    | ( $false
      = ( chevy @ sK17 @ mactual ) )
    | ( $false
      = ( car @ sK17 @ mactual ) )
    | ~ spl1_60
    | ~ spl1_64
    | ~ spl1_68
    | ~ spl1_70
    | ~ spl1_148 ),
    inference(trivial_inequality_removal,[status(thm)],[f2603]) ).

thf(f2603,plain,
    ( ( $false
      = ( dirty @ sK17 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( chevy @ sK17 @ mactual ) )
    | ( $false
      = ( car @ sK17 @ mactual ) )
    | ~ spl1_60
    | ~ spl1_64
    | ~ spl1_68
    | ~ spl1_70
    | ~ spl1_148 ),
    inference(forward_demodulation,[status(thm)],[f2602,f1618]) ).

thf(f1618,plain,
    ( ( ( white @ sK17 @ mactual )
      = $true )
    | ~ spl1_70 ),
    inference(avatar_component_clause,[status(thm)],[f1616]) ).

thf(f1616,definition,
    ( spl1_70
  <=> ( ( white @ sK17 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_70])],[avatar_definition]) ).

thf(f2602,plain,
    ( ( $false
      = ( white @ sK17 @ mactual ) )
    | ( $false
      = ( dirty @ sK17 @ mactual ) )
    | ( $false
      = ( chevy @ sK17 @ mactual ) )
    | ( $false
      = ( car @ sK17 @ mactual ) )
    | ~ spl1_60
    | ~ spl1_64
    | ~ spl1_68
    | ~ spl1_148 ),
    inference(trivial_inequality_removal,[status(thm)],[f2601]) ).

thf(f2601,plain,
    ( ( $false
      = ( white @ sK17 @ mactual ) )
    | ( $false
      = ( car @ sK17 @ mactual ) )
    | ( $false
      = ( dirty @ sK17 @ mactual ) )
    | ( $false
      = ( chevy @ sK17 @ mactual ) )
    | ( $false = $true )
    | ~ spl1_60
    | ~ spl1_64
    | ~ spl1_68
    | ~ spl1_148 ),
    inference(forward_demodulation,[status(thm)],[f2600,f1608]) ).

thf(f1608,plain,
    ( ( ( old @ sK17 @ mactual )
      = $true )
    | ~ spl1_68 ),
    inference(avatar_component_clause,[status(thm)],[f1606]) ).

thf(f1606,definition,
    ( spl1_68
  <=> ( ( old @ sK17 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_68])],[avatar_definition]) ).

thf(f2600,plain,
    ( ( $false
      = ( old @ sK17 @ mactual ) )
    | ( $false
      = ( dirty @ sK17 @ mactual ) )
    | ( $false
      = ( chevy @ sK17 @ mactual ) )
    | ( $false
      = ( white @ sK17 @ mactual ) )
    | ( $false
      = ( car @ sK17 @ mactual ) )
    | ~ spl1_60
    | ~ spl1_64
    | ~ spl1_148 ),
    inference(trivial_inequality_removal,[status(thm)],[f2599]) ).

thf(f2599,plain,
    ( ( $false
      = ( car @ sK17 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( old @ sK17 @ mactual ) )
    | ( $false
      = ( dirty @ sK17 @ mactual ) )
    | ( $false
      = ( white @ sK17 @ mactual ) )
    | ( $false
      = ( chevy @ sK17 @ mactual ) )
    | ~ spl1_60
    | ~ spl1_64
    | ~ spl1_148 ),
    inference(forward_demodulation,[status(thm)],[f2598,f1568]) ).

thf(f1568,plain,
    ( ( ( eiw_di @ sK17 @ mactual )
      = $true )
    | ~ spl1_60 ),
    inference(avatar_component_clause,[status(thm)],[f1566]) ).

thf(f1566,definition,
    ( spl1_60
  <=> ( ( eiw_di @ sK17 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_60])],[avatar_definition]) ).

thf(f2598,plain,
    ( ( $false
      = ( eiw_di @ sK17 @ mactual ) )
    | ( $false
      = ( car @ sK17 @ mactual ) )
    | ( $false
      = ( white @ sK17 @ mactual ) )
    | ( $false
      = ( dirty @ sK17 @ mactual ) )
    | ( $false
      = ( old @ sK17 @ mactual ) )
    | ( $false
      = ( chevy @ sK17 @ mactual ) )
    | ~ spl1_64
    | ~ spl1_148 ),
    inference(trivial_inequality_removal,[status(thm)],[f2596]) ).

thf(f2596,plain,
    ( ( $false
      = ( white @ sK17 @ mactual ) )
    | ( $false
      = ( car @ sK17 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( eiw_di @ sK17 @ mactual ) )
    | ( $false
      = ( old @ sK17 @ mactual ) )
    | ( $false
      = ( chevy @ sK17 @ mactual ) )
    | ( $false
      = ( dirty @ sK17 @ mactual ) )
    | ~ spl1_64
    | ~ spl1_148 ),
    inference(superposition,[status(thm)],[f1588,f2448]) ).

thf(f2448,plain,
    ( ! [X1: $i] :
        ( ( $false
          = ( barrel @ sK16 @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) ) )
    | ~ spl1_148 ),
    inference(avatar_component_clause,[status(thm)],[f2447]) ).

thf(f2447,definition,
    ( spl1_148
  <=> ! [X1: $i] :
        ( ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK16 @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_148])],[avatar_definition]) ).

thf(f1588,plain,
    ( ( ( barrel @ sK16 @ sK17 @ mactual )
      = $true )
    | ~ spl1_64 ),
    inference(avatar_component_clause,[status(thm)],[f1586]) ).

thf(f1586,definition,
    ( spl1_64
  <=> ( ( barrel @ sK16 @ sK17 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_64])],[avatar_definition]) ).

thf(f1623,plain,
    ( ( ( car @ sK17 @ mactual )
      = $true )
    | ~ spl1_71 ),
    inference(avatar_component_clause,[status(thm)],[f1621]) ).

thf(f1621,definition,
    ( spl1_71
  <=> ( ( car @ sK17 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_71])],[avatar_definition]) ).

thf(f2568,plain,
    ( ~ spl1_41
    | ~ spl1_45
    | ~ spl1_49
    | ~ spl1_50
    | ~ spl1_51
    | ~ spl1_52
    | ~ spl1_53
    | ~ spl1_144 ),
    inference(avatar_contradiction_clause,[status(thm)],[f2567]) ).

thf(f2567,plain,
    ( $false
    | ~ spl1_41
    | ~ spl1_45
    | ~ spl1_49
    | ~ spl1_50
    | ~ spl1_51
    | ~ spl1_52
    | ~ spl1_53
    | ~ spl1_144 ),
    inference(trivial_inequality_removal,[status(thm)],[f2566]) ).

thf(f2566,plain,
    ( ( $false = $true )
    | ~ spl1_41
    | ~ spl1_45
    | ~ spl1_49
    | ~ spl1_50
    | ~ spl1_51
    | ~ spl1_52
    | ~ spl1_53
    | ~ spl1_144 ),
    inference(backward_demodulation,[status(thm)],[f1529,f2565]) ).

thf(f2565,plain,
    ( ( $false
      = ( car @ sK21 @ mactual ) )
    | ~ spl1_41
    | ~ spl1_45
    | ~ spl1_49
    | ~ spl1_50
    | ~ spl1_51
    | ~ spl1_53
    | ~ spl1_144 ),
    inference(trivial_inequality_removal,[status(thm)],[f2564]) ).

thf(f2564,plain,
    ( ( $false = $true )
    | ( $false
      = ( car @ sK21 @ mactual ) )
    | ~ spl1_41
    | ~ spl1_45
    | ~ spl1_49
    | ~ spl1_50
    | ~ spl1_51
    | ~ spl1_53
    | ~ spl1_144 ),
    inference(forward_demodulation,[status(thm)],[f2563,f1524]) ).

thf(f1524,plain,
    ( ( ( white @ sK21 @ mactual )
      = $true )
    | ~ spl1_51 ),
    inference(avatar_component_clause,[status(thm)],[f1522]) ).

thf(f1522,definition,
    ( spl1_51
  <=> ( ( white @ sK21 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_51])],[avatar_definition]) ).

thf(f2563,plain,
    ( ( $false
      = ( car @ sK21 @ mactual ) )
    | ( $false
      = ( white @ sK21 @ mactual ) )
    | ~ spl1_41
    | ~ spl1_45
    | ~ spl1_49
    | ~ spl1_50
    | ~ spl1_53
    | ~ spl1_144 ),
    inference(trivial_inequality_removal,[status(thm)],[f2562]) ).

thf(f2562,plain,
    ( ( $false
      = ( car @ sK21 @ mactual ) )
    | ( $false
      = ( white @ sK21 @ mactual ) )
    | ( $false = $true )
    | ~ spl1_41
    | ~ spl1_45
    | ~ spl1_49
    | ~ spl1_50
    | ~ spl1_53
    | ~ spl1_144 ),
    inference(forward_demodulation,[status(thm)],[f2561,f1514]) ).

thf(f1514,plain,
    ( ( $true
      = ( old @ sK21 @ mactual ) )
    | ~ spl1_49 ),
    inference(avatar_component_clause,[status(thm)],[f1512]) ).

thf(f1512,definition,
    ( spl1_49
  <=> ( $true
      = ( old @ sK21 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_49])],[avatar_definition]) ).

thf(f2561,plain,
    ( ( $false
      = ( old @ sK21 @ mactual ) )
    | ( $false
      = ( white @ sK21 @ mactual ) )
    | ( $false
      = ( car @ sK21 @ mactual ) )
    | ~ spl1_41
    | ~ spl1_45
    | ~ spl1_50
    | ~ spl1_53
    | ~ spl1_144 ),
    inference(trivial_inequality_removal,[status(thm)],[f2560]) ).

thf(f2560,plain,
    ( ( $false
      = ( old @ sK21 @ mactual ) )
    | ( $false
      = ( white @ sK21 @ mactual ) )
    | ( $false
      = ( car @ sK21 @ mactual ) )
    | ( $false = $true )
    | ~ spl1_41
    | ~ spl1_45
    | ~ spl1_50
    | ~ spl1_53
    | ~ spl1_144 ),
    inference(forward_demodulation,[status(thm)],[f2559,f1519]) ).

thf(f1519,plain,
    ( ( ( dirty @ sK21 @ mactual )
      = $true )
    | ~ spl1_50 ),
    inference(avatar_component_clause,[status(thm)],[f1517]) ).

thf(f1517,definition,
    ( spl1_50
  <=> ( ( dirty @ sK21 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_50])],[avatar_definition]) ).

thf(f2559,plain,
    ( ( $false
      = ( dirty @ sK21 @ mactual ) )
    | ( $false
      = ( old @ sK21 @ mactual ) )
    | ( $false
      = ( white @ sK21 @ mactual ) )
    | ( $false
      = ( car @ sK21 @ mactual ) )
    | ~ spl1_41
    | ~ spl1_45
    | ~ spl1_53
    | ~ spl1_144 ),
    inference(trivial_inequality_removal,[status(thm)],[f2558]) ).

thf(f2558,plain,
    ( ( $false = $true )
    | ( $false
      = ( old @ sK21 @ mactual ) )
    | ( $false
      = ( dirty @ sK21 @ mactual ) )
    | ( $false
      = ( car @ sK21 @ mactual ) )
    | ( $false
      = ( white @ sK21 @ mactual ) )
    | ~ spl1_41
    | ~ spl1_45
    | ~ spl1_53
    | ~ spl1_144 ),
    inference(forward_demodulation,[status(thm)],[f2557,f1534]) ).

thf(f1534,plain,
    ( ( $true
      = ( chevy @ sK21 @ mactual ) )
    | ~ spl1_53 ),
    inference(avatar_component_clause,[status(thm)],[f1532]) ).

thf(f1532,definition,
    ( spl1_53
  <=> ( $true
      = ( chevy @ sK21 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_53])],[avatar_definition]) ).

thf(f2557,plain,
    ( ( $false
      = ( white @ sK21 @ mactual ) )
    | ( $false
      = ( chevy @ sK21 @ mactual ) )
    | ( $false
      = ( dirty @ sK21 @ mactual ) )
    | ( $false
      = ( car @ sK21 @ mactual ) )
    | ( $false
      = ( old @ sK21 @ mactual ) )
    | ~ spl1_41
    | ~ spl1_45
    | ~ spl1_144 ),
    inference(trivial_inequality_removal,[status(thm)],[f2556]) ).

thf(f2556,plain,
    ( ( $false
      = ( old @ sK21 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( chevy @ sK21 @ mactual ) )
    | ( $false
      = ( white @ sK21 @ mactual ) )
    | ( $false
      = ( car @ sK21 @ mactual ) )
    | ( $false
      = ( dirty @ sK21 @ mactual ) )
    | ~ spl1_41
    | ~ spl1_45
    | ~ spl1_144 ),
    inference(forward_demodulation,[status(thm)],[f2555,f1474]) ).

thf(f1474,plain,
    ( ( $true
      = ( eiw_di @ sK21 @ mactual ) )
    | ~ spl1_41 ),
    inference(avatar_component_clause,[status(thm)],[f1472]) ).

thf(f1472,definition,
    ( spl1_41
  <=> ( $true
      = ( eiw_di @ sK21 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_41])],[avatar_definition]) ).

thf(f2555,plain,
    ( ( $false
      = ( eiw_di @ sK21 @ mactual ) )
    | ( $false
      = ( chevy @ sK21 @ mactual ) )
    | ( $false
      = ( dirty @ sK21 @ mactual ) )
    | ( $false
      = ( old @ sK21 @ mactual ) )
    | ( $false
      = ( car @ sK21 @ mactual ) )
    | ( $false
      = ( white @ sK21 @ mactual ) )
    | ~ spl1_45
    | ~ spl1_144 ),
    inference(trivial_inequality_removal,[status(thm)],[f2552]) ).

thf(f2552,plain,
    ( ( $false = $true )
    | ( $false
      = ( chevy @ sK21 @ mactual ) )
    | ( $false
      = ( dirty @ sK21 @ mactual ) )
    | ( $false
      = ( white @ sK21 @ mactual ) )
    | ( $false
      = ( old @ sK21 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK21 @ mactual ) )
    | ( $false
      = ( car @ sK21 @ mactual ) )
    | ~ spl1_45
    | ~ spl1_144 ),
    inference(superposition,[status(thm)],[f2320,f1494]) ).

thf(f1494,plain,
    ( ( ( barrel @ sK20 @ sK21 @ mactual )
      = $true )
    | ~ spl1_45 ),
    inference(avatar_component_clause,[status(thm)],[f1492]) ).

thf(f1492,definition,
    ( spl1_45
  <=> ( ( barrel @ sK20 @ sK21 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_45])],[avatar_definition]) ).

thf(f2320,plain,
    ( ! [X1: $i] :
        ( ( $false
          = ( barrel @ sK20 @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) ) )
    | ~ spl1_144 ),
    inference(avatar_component_clause,[status(thm)],[f2319]) ).

thf(f2319,definition,
    ( spl1_144
  <=> ! [X1: $i] :
        ( ( $false
          = ( barrel @ sK20 @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_144])],[avatar_definition]) ).

thf(f1529,plain,
    ( ( ( car @ sK21 @ mactual )
      = $true )
    | ~ spl1_52 ),
    inference(avatar_component_clause,[status(thm)],[f1527]) ).

thf(f1527,definition,
    ( spl1_52
  <=> ( ( car @ sK21 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_52])],[avatar_definition]) ).

thf(f2534,plain,
    ( ~ spl1_57
    | ~ spl1_62
    | ~ spl1_74
    | ~ spl1_75
    | ~ spl1_146 ),
    inference(avatar_contradiction_clause,[status(thm)],[f2533]) ).

thf(f2533,plain,
    ( $false
    | ~ spl1_57
    | ~ spl1_62
    | ~ spl1_74
    | ~ spl1_75
    | ~ spl1_146 ),
    inference(trivial_inequality_removal,[status(thm)],[f2532]) ).

thf(f2532,plain,
    ( ( $false = $true )
    | ~ spl1_57
    | ~ spl1_62
    | ~ spl1_74
    | ~ spl1_75
    | ~ spl1_146 ),
    inference(backward_demodulation,[status(thm)],[f1638,f2531]) ).

thf(f2531,plain,
    ( ( $false
      = ( city @ sK15 @ mactual ) )
    | ~ spl1_57
    | ~ spl1_62
    | ~ spl1_75
    | ~ spl1_146 ),
    inference(trivial_inequality_removal,[status(thm)],[f2530]) ).

thf(f2530,plain,
    ( ( $false = $true )
    | ( $false
      = ( city @ sK15 @ mactual ) )
    | ~ spl1_57
    | ~ spl1_62
    | ~ spl1_75
    | ~ spl1_146 ),
    inference(forward_demodulation,[status(thm)],[f2529,f1643]) ).

thf(f1643,plain,
    ( ( ( hollywood @ sK15 @ mactual )
      = $true )
    | ~ spl1_75 ),
    inference(avatar_component_clause,[status(thm)],[f1641]) ).

thf(f1641,definition,
    ( spl1_75
  <=> ( ( hollywood @ sK15 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_75])],[avatar_definition]) ).

thf(f2529,plain,
    ( ( $false
      = ( city @ sK15 @ mactual ) )
    | ( $false
      = ( hollywood @ sK15 @ mactual ) )
    | ~ spl1_57
    | ~ spl1_62
    | ~ spl1_146 ),
    inference(trivial_inequality_removal,[status(thm)],[f2528]) ).

thf(f2528,plain,
    ( ( $false = $true )
    | ( $false
      = ( hollywood @ sK15 @ mactual ) )
    | ( $false
      = ( city @ sK15 @ mactual ) )
    | ~ spl1_57
    | ~ spl1_62
    | ~ spl1_146 ),
    inference(forward_demodulation,[status(thm)],[f2527,f1554]) ).

thf(f1554,plain,
    ( ( $true
      = ( eiw_di @ sK15 @ mactual ) )
    | ~ spl1_57 ),
    inference(avatar_component_clause,[status(thm)],[f1552]) ).

thf(f1552,definition,
    ( spl1_57
  <=> ( $true
      = ( eiw_di @ sK15 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_57])],[avatar_definition]) ).

thf(f2527,plain,
    ( ( $false
      = ( city @ sK15 @ mactual ) )
    | ( $false
      = ( eiw_di @ sK15 @ mactual ) )
    | ( $false
      = ( hollywood @ sK15 @ mactual ) )
    | ~ spl1_62
    | ~ spl1_146 ),
    inference(trivial_inequality_removal,[status(thm)],[f2524]) ).

thf(f2524,plain,
    ( ( $false
      = ( eiw_di @ sK15 @ mactual ) )
    | ( $false
      = ( city @ sK15 @ mactual ) )
    | ( $false = $true )
    | ( $false
      = ( hollywood @ sK15 @ mactual ) )
    | ~ spl1_62
    | ~ spl1_146 ),
    inference(superposition,[status(thm)],[f2360,f1578]) ).

thf(f1578,plain,
    ( ( ( in @ sK16 @ sK15 @ mactual )
      = $true )
    | ~ spl1_62 ),
    inference(avatar_component_clause,[status(thm)],[f1576]) ).

thf(f1576,definition,
    ( spl1_62
  <=> ( ( in @ sK16 @ sK15 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_62])],[avatar_definition]) ).

thf(f2360,plain,
    ( ! [X1: $i] :
        ( ( $false
          = ( in @ sK16 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) ) )
    | ~ spl1_146 ),
    inference(avatar_component_clause,[status(thm)],[f2359]) ).

thf(f2359,definition,
    ( spl1_146
  <=> ! [X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK16 @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_146])],[avatar_definition]) ).

thf(f1638,plain,
    ( ( ( city @ sK15 @ mactual )
      = $true )
    | ~ spl1_74 ),
    inference(avatar_component_clause,[status(thm)],[f1636]) ).

thf(f1636,definition,
    ( spl1_74
  <=> ( ( city @ sK15 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_74])],[avatar_definition]) ).

thf(f2510,plain,
    ( spl1_149
    | spl1_150
    | ~ spl1_1
    | ~ spl1_110
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_126
    | ~ spl1_127
    | ~ spl1_128
    | ~ spl1_129
    | ~ spl1_130
    | ~ spl1_131 ),
    inference(avatar_split_clause,[status(thm)],[f2509,f1941,f1936,f1931,f1926,f1921,f1916,f1896,f1862,f1815,f1274,f2491,f2488]) ).

thf(f2509,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_110
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_126
    | ~ spl1_127
    | ~ spl1_128
    | ~ spl1_129
    | ~ spl1_130
    | ~ spl1_131 ),
    inference(trivial_inequality_removal,[status(thm)],[f2508]) ).

thf(f2508,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false = $true ) )
    | ~ spl1_1
    | ~ spl1_110
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_126
    | ~ spl1_127
    | ~ spl1_128
    | ~ spl1_129
    | ~ spl1_130
    | ~ spl1_131 ),
    inference(forward_demodulation,[status(thm)],[f2507,f1928]) ).

thf(f2507,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( white @ sK8 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_110
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_126
    | ~ spl1_127
    | ~ spl1_129
    | ~ spl1_130
    | ~ spl1_131 ),
    inference(trivial_inequality_removal,[status(thm)],[f2506]) ).

thf(f2506,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( white @ sK8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false = $true ) )
    | ~ spl1_1
    | ~ spl1_110
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_126
    | ~ spl1_127
    | ~ spl1_129
    | ~ spl1_130
    | ~ spl1_131 ),
    inference(forward_demodulation,[status(thm)],[f2505,f1817]) ).

thf(f2505,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( white @ sK8 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_126
    | ~ spl1_127
    | ~ spl1_129
    | ~ spl1_130
    | ~ spl1_131 ),
    inference(trivial_inequality_removal,[status(thm)],[f2504]) ).

thf(f2504,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ sK7 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( white @ sK8 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_126
    | ~ spl1_127
    | ~ spl1_129
    | ~ spl1_130
    | ~ spl1_131 ),
    inference(forward_demodulation,[status(thm)],[f2503,f1918]) ).

thf(f2503,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( old @ sK8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( white @ sK8 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK7 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_127
    | ~ spl1_129
    | ~ spl1_130
    | ~ spl1_131 ),
    inference(trivial_inequality_removal,[status(thm)],[f2502]) ).

thf(f2502,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( old @ sK8 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( white @ sK8 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_127
    | ~ spl1_129
    | ~ spl1_130
    | ~ spl1_131 ),
    inference(forward_demodulation,[status(thm)],[f2501,f1938]) ).

thf(f2501,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( chevy @ sK8 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( old @ sK8 @ mactual ) )
        | ( $false
          = ( white @ sK8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_127
    | ~ spl1_129
    | ~ spl1_131 ),
    inference(trivial_inequality_removal,[status(thm)],[f2500]) ).

thf(f2500,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ sK7 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK7 @ X1 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( city @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK7 @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ sK8 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( old @ sK8 @ mactual ) )
        | ( $false
          = ( white @ sK8 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_118
    | ~ spl1_122
    | ~ spl1_127
    | ~ spl1_129
    | ~ spl1_131 ),
    inference(forward_demodulation,[status(thm)],[f2499,f1933]) ).

thf(f2462,plain,
    ( spl1_146
    | spl1_148
    | ~ spl1_1
    | ~ spl1_59
    | ~ spl1_61
    | ~ spl1_63
    | ~ spl1_65
    | ~ spl1_66
    | ~ spl1_67
    | ~ spl1_73 ),
    inference(avatar_split_clause,[status(thm)],[f2461,f1631,f1601,f1596,f1591,f1581,f1571,f1561,f1274,f2447,f2359]) ).

thf(f1561,definition,
    ( spl1_59
  <=> ( ( eiw_di @ sK16 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_59])],[avatar_definition]) ).

thf(f1571,definition,
    ( spl1_61
  <=> ( ( eiw_di @ sK18 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_61])],[avatar_definition]) ).

thf(f1581,definition,
    ( spl1_63
  <=> ( ( down @ sK16 @ sK18 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_63])],[avatar_definition]) ).

thf(f1591,definition,
    ( spl1_65
  <=> ( ( lonely @ sK18 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_65])],[avatar_definition]) ).

thf(f1596,definition,
    ( spl1_66
  <=> ( ( way @ sK18 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_66])],[avatar_definition]) ).

thf(f1601,definition,
    ( spl1_67
  <=> ( ( street @ sK18 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_67])],[avatar_definition]) ).

thf(f1631,definition,
    ( spl1_73
  <=> ( ( event @ sK16 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_73])],[avatar_definition]) ).

thf(f2461,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK16 @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK16 @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_59
    | ~ spl1_61
    | ~ spl1_63
    | ~ spl1_65
    | ~ spl1_66
    | ~ spl1_67
    | ~ spl1_73 ),
    inference(trivial_inequality_removal,[status(thm)],[f2460]) ).

thf(f2460,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK16 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( barrel @ sK16 @ X1 @ mactual ) )
        | ( $false = $true ) )
    | ~ spl1_1
    | ~ spl1_59
    | ~ spl1_61
    | ~ spl1_63
    | ~ spl1_65
    | ~ spl1_66
    | ~ spl1_67
    | ~ spl1_73 ),
    inference(forward_demodulation,[status(thm)],[f2459,f1598]) ).

thf(f1598,plain,
    ( ( ( way @ sK18 @ mactual )
      = $true )
    | ~ spl1_66 ),
    inference(avatar_component_clause,[status(thm)],[f1596]) ).

thf(f2459,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( way @ sK18 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK16 @ X0 @ mactual ) )
        | ( $false
          = ( barrel @ sK16 @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( city @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_59
    | ~ spl1_61
    | ~ spl1_63
    | ~ spl1_65
    | ~ spl1_67
    | ~ spl1_73 ),
    inference(trivial_inequality_removal,[status(thm)],[f2458]) ).

thf(f2458,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( way @ sK18 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false = $true )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK16 @ X0 @ mactual ) )
        | ( $false
          = ( barrel @ sK16 @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_59
    | ~ spl1_61
    | ~ spl1_63
    | ~ spl1_65
    | ~ spl1_67
    | ~ spl1_73 ),
    inference(forward_demodulation,[status(thm)],[f2457,f1593]) ).

thf(f1593,plain,
    ( ( ( lonely @ sK18 @ mactual )
      = $true )
    | ~ spl1_65 ),
    inference(avatar_component_clause,[status(thm)],[f1591]) ).

thf(f2457,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK16 @ X0 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( lonely @ sK18 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( way @ sK18 @ mactual ) )
        | ( $false
          = ( barrel @ sK16 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_59
    | ~ spl1_61
    | ~ spl1_63
    | ~ spl1_67
    | ~ spl1_73 ),
    inference(trivial_inequality_removal,[status(thm)],[f2456]) ).

thf(f2456,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK16 @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ sK18 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( way @ sK18 @ mactual ) )
        | ( $false
          = ( in @ sK16 @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_59
    | ~ spl1_61
    | ~ spl1_63
    | ~ spl1_67
    | ~ spl1_73 ),
    inference(forward_demodulation,[status(thm)],[f2455,f1603]) ).

thf(f1603,plain,
    ( ( ( street @ sK18 @ mactual )
      = $true )
    | ~ spl1_67 ),
    inference(avatar_component_clause,[status(thm)],[f1601]) ).

thf(f2455,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK16 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK16 @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( street @ sK18 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ sK18 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( way @ sK18 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_59
    | ~ spl1_61
    | ~ spl1_63
    | ~ spl1_73 ),
    inference(trivial_inequality_removal,[status(thm)],[f2454]) ).

thf(f2454,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK16 @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK16 @ X0 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( street @ sK18 @ mactual ) )
        | ( $false
          = ( way @ sK18 @ mactual ) )
        | ( $false
          = ( lonely @ sK18 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_59
    | ~ spl1_61
    | ~ spl1_63
    | ~ spl1_73 ),
    inference(forward_demodulation,[status(thm)],[f2453,f1633]) ).

thf(f1633,plain,
    ( ( ( event @ sK16 @ mactual )
      = $true )
    | ~ spl1_73 ),
    inference(avatar_component_clause,[status(thm)],[f1631]) ).

thf(f2453,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( street @ sK18 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( event @ sK16 @ mactual ) )
        | ( $false
          = ( way @ sK18 @ mactual ) )
        | ( $false
          = ( in @ sK16 @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ sK18 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK16 @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_59
    | ~ spl1_61
    | ~ spl1_63 ),
    inference(trivial_inequality_removal,[status(thm)],[f2452]) ).

thf(f2452,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( event @ sK16 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK16 @ X0 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ sK18 @ mactual ) )
        | ( $false
          = ( barrel @ sK16 @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( street @ sK18 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( way @ sK18 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_59
    | ~ spl1_61
    | ~ spl1_63 ),
    inference(forward_demodulation,[status(thm)],[f2451,f1573]) ).

thf(f1573,plain,
    ( ( ( eiw_di @ sK18 @ mactual )
      = $true )
    | ~ spl1_61 ),
    inference(avatar_component_clause,[status(thm)],[f1571]) ).

thf(f2451,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK16 @ X0 @ mactual ) )
        | ( ( eiw_di @ sK18 @ mactual )
          = $false )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ sK18 @ mactual ) )
        | ( $false
          = ( barrel @ sK16 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( street @ sK18 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( way @ sK18 @ mactual ) )
        | ( $false
          = ( event @ sK16 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_59
    | ~ spl1_63 ),
    inference(trivial_inequality_removal,[status(thm)],[f2450]) ).

thf(f2450,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false = $true )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK16 @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( street @ sK18 @ mactual ) )
        | ( $false
          = ( way @ sK18 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( ( eiw_di @ sK18 @ mactual )
          = $false )
        | ( $false
          = ( event @ sK16 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK16 @ X0 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ sK18 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_59
    | ~ spl1_63 ),
    inference(forward_demodulation,[status(thm)],[f2432,f1563]) ).

thf(f1563,plain,
    ( ( ( eiw_di @ sK16 @ mactual )
      = $true )
    | ~ spl1_59 ),
    inference(avatar_component_clause,[status(thm)],[f1561]) ).

thf(f2432,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK16 @ mactual ) )
        | ( $false
          = ( event @ sK16 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( way @ sK18 @ mactual ) )
        | ( $false
          = ( barrel @ sK16 @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK16 @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ sK18 @ mactual ) )
        | ( ( eiw_di @ sK18 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( street @ sK18 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_63 ),
    inference(trivial_inequality_removal,[status(thm)],[f2430]) ).

thf(f2430,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK16 @ X1 @ mactual ) )
        | ( ( eiw_di @ sK18 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK16 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false = $true )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ sK18 @ mactual ) )
        | ( $false
          = ( in @ sK16 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( way @ sK18 @ mactual ) )
        | ( $false
          = ( street @ sK18 @ mactual ) )
        | ( $false
          = ( event @ sK16 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_63 ),
    inference(superposition,[status(thm)],[f1583,f1275]) ).

thf(f1583,plain,
    ( ( ( down @ sK16 @ sK18 @ mactual )
      = $true )
    | ~ spl1_63 ),
    inference(avatar_component_clause,[status(thm)],[f1581]) ).

thf(f2334,plain,
    ( spl1_144
    | spl1_143
    | ~ spl1_1
    | ~ spl1_40
    | ~ spl1_42
    | ~ spl1_44
    | ~ spl1_46
    | ~ spl1_47
    | ~ spl1_48
    | ~ spl1_54 ),
    inference(avatar_split_clause,[status(thm)],[f2333,f1537,f1507,f1502,f1497,f1487,f1477,f1467,f1274,f2278,f2319]) ).

thf(f1467,definition,
    ( spl1_40
  <=> ( $true
      = ( eiw_di @ sK20 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_40])],[avatar_definition]) ).

thf(f1477,definition,
    ( spl1_42
  <=> ( $true
      = ( eiw_di @ sK22 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_42])],[avatar_definition]) ).

thf(f1487,definition,
    ( spl1_44
  <=> ( ( down @ sK20 @ sK22 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_44])],[avatar_definition]) ).

thf(f1497,definition,
    ( spl1_46
  <=> ( ( lonely @ sK22 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_46])],[avatar_definition]) ).

thf(f1502,definition,
    ( spl1_47
  <=> ( ( way @ sK22 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_47])],[avatar_definition]) ).

thf(f1507,definition,
    ( spl1_48
  <=> ( ( street @ sK22 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_48])],[avatar_definition]) ).

thf(f1537,definition,
    ( spl1_54
  <=> ( ( event @ sK20 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_54])],[avatar_definition]) ).

thf(f2333,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK20 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK20 @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_40
    | ~ spl1_42
    | ~ spl1_44
    | ~ spl1_46
    | ~ spl1_47
    | ~ spl1_48
    | ~ spl1_54 ),
    inference(trivial_inequality_removal,[status(thm)],[f2332]) ).

thf(f2332,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false = $true )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK20 @ X0 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( barrel @ sK20 @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_40
    | ~ spl1_42
    | ~ spl1_44
    | ~ spl1_46
    | ~ spl1_47
    | ~ spl1_48
    | ~ spl1_54 ),
    inference(forward_demodulation,[status(thm)],[f2331,f1504]) ).

thf(f1504,plain,
    ( ( ( way @ sK22 @ mactual )
      = $true )
    | ~ spl1_47 ),
    inference(avatar_component_clause,[status(thm)],[f1502]) ).

thf(f2331,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK20 @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK20 @ X0 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( way @ sK22 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_40
    | ~ spl1_42
    | ~ spl1_44
    | ~ spl1_46
    | ~ spl1_48
    | ~ spl1_54 ),
    inference(trivial_inequality_removal,[status(thm)],[f2330]) ).

thf(f2330,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false = $true )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK20 @ X0 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK20 @ X1 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( way @ sK22 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_40
    | ~ spl1_42
    | ~ spl1_44
    | ~ spl1_46
    | ~ spl1_48
    | ~ spl1_54 ),
    inference(forward_demodulation,[status(thm)],[f2329,f1499]) ).

thf(f1499,plain,
    ( ( ( lonely @ sK22 @ mactual )
      = $true )
    | ~ spl1_46 ),
    inference(avatar_component_clause,[status(thm)],[f1497]) ).

thf(f2329,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( lonely @ sK22 @ mactual )
          = $false )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK20 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( way @ sK22 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK20 @ X1 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false ) )
    | ~ spl1_1
    | ~ spl1_40
    | ~ spl1_42
    | ~ spl1_44
    | ~ spl1_48
    | ~ spl1_54 ),
    inference(trivial_inequality_removal,[status(thm)],[f2328]) ).

thf(f2328,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false = $true )
        | ( ( lonely @ sK22 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK20 @ X1 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( way @ sK22 @ mactual ) )
        | ( $false
          = ( in @ sK20 @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_40
    | ~ spl1_42
    | ~ spl1_44
    | ~ spl1_48
    | ~ spl1_54 ),
    inference(forward_demodulation,[status(thm)],[f2327,f1469]) ).

thf(f1469,plain,
    ( ( $true
      = ( eiw_di @ sK20 @ mactual ) )
    | ~ spl1_40 ),
    inference(avatar_component_clause,[status(thm)],[f1467]) ).

thf(f2327,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( in @ sK20 @ X0 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( barrel @ sK20 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( way @ sK22 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( ( lonely @ sK22 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ sK20 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_42
    | ~ spl1_44
    | ~ spl1_48
    | ~ spl1_54 ),
    inference(trivial_inequality_removal,[status(thm)],[f2326]) ).

thf(f2326,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( ( lonely @ sK22 @ mactual )
          = $false )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK20 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK20 @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK20 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( way @ sK22 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_42
    | ~ spl1_44
    | ~ spl1_48
    | ~ spl1_54 ),
    inference(forward_demodulation,[status(thm)],[f2325,f1509]) ).

thf(f1509,plain,
    ( ( ( street @ sK22 @ mactual )
      = $true )
    | ~ spl1_48 ),
    inference(avatar_component_clause,[status(thm)],[f1507]) ).

thf(f2325,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( street @ sK22 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( ( lonely @ sK22 @ mactual )
          = $false )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK20 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( way @ sK22 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK20 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( in @ sK20 @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_42
    | ~ spl1_44
    | ~ spl1_54 ),
    inference(trivial_inequality_removal,[status(thm)],[f2324]) ).

thf(f2324,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false = $true )
        | ( ( lonely @ sK22 @ mactual )
          = $false )
        | ( $false
          = ( way @ sK22 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( barrel @ sK20 @ X1 @ mactual ) )
        | ( $false
          = ( street @ sK22 @ mactual ) )
        | ( $false
          = ( in @ sK20 @ X0 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK20 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( city @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_42
    | ~ spl1_44
    | ~ spl1_54 ),
    inference(forward_demodulation,[status(thm)],[f2323,f1539]) ).

thf(f1539,plain,
    ( ( ( event @ sK20 @ mactual )
      = $true )
    | ~ spl1_54 ),
    inference(avatar_component_clause,[status(thm)],[f1537]) ).

thf(f2323,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( in @ sK20 @ X0 @ mactual ) )
        | ( ( event @ sK20 @ mactual )
          = $false )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( ( lonely @ sK22 @ mactual )
          = $false )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK20 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( way @ sK22 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( barrel @ sK20 @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( street @ sK22 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_42
    | ~ spl1_44 ),
    inference(trivial_inequality_removal,[status(thm)],[f2322]) ).

thf(f2322,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( in @ sK20 @ X0 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK20 @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( way @ sK22 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK20 @ mactual ) )
        | ( ( lonely @ sK22 @ mactual )
          = $false )
        | ( $false = $true )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( ( event @ sK20 @ mactual )
          = $false )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( street @ sK22 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_42
    | ~ spl1_44 ),
    inference(forward_demodulation,[status(thm)],[f2304,f1479]) ).

thf(f1479,plain,
    ( ( $true
      = ( eiw_di @ sK22 @ mactual ) )
    | ~ spl1_42 ),
    inference(avatar_component_clause,[status(thm)],[f1477]) ).

thf(f2304,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ sK22 @ mactual ) )
        | ( $false
          = ( street @ sK22 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK20 @ mactual ) )
        | ( $false
          = ( in @ sK20 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK20 @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( ( event @ sK20 @ mactual )
          = $false )
        | ( ( lonely @ sK22 @ mactual )
          = $false )
        | ( $false
          = ( way @ sK22 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_44 ),
    inference(trivial_inequality_removal,[status(thm)],[f2303]) ).

thf(f2303,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( way @ sK22 @ mactual ) )
        | ( ( lonely @ sK22 @ mactual )
          = $false )
        | ( $false = $true )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( ( event @ sK20 @ mactual )
          = $false )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( city @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( street @ sK22 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK22 @ mactual ) )
        | ( $false
          = ( barrel @ sK20 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( in @ sK20 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK20 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_44 ),
    inference(superposition,[status(thm)],[f1275,f1489]) ).

thf(f1489,plain,
    ( ( ( down @ sK20 @ sK22 @ mactual )
      = $true )
    | ~ spl1_44 ),
    inference(avatar_component_clause,[status(thm)],[f1487]) ).

thf(f2222,plain,
    ( spl1_137
    | spl1_139
    | spl1_138
    | ~ spl1_1
    | ~ spl1_58
    | ~ spl1_79
    | ~ spl1_90
    | ~ spl1_91
    | ~ spl1_92 ),
    inference(avatar_split_clause,[status(thm)],[f2207,f1725,f1720,f1715,f1660,f1556,f1274,f2197,f2218,f2194]) ).

thf(f2207,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK2 @ mactual ) )
        | ( $false
          = ( barrel @ sK3 @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_58
    | ~ spl1_79
    | ~ spl1_90
    | ~ spl1_91
    | ~ spl1_92 ),
    inference(trivial_inequality_removal,[status(thm)],[f2206]) ).

thf(f2206,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( barrel @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK2 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_58
    | ~ spl1_79
    | ~ spl1_90
    | ~ spl1_91
    | ~ spl1_92 ),
    inference(forward_demodulation,[status(thm)],[f2205,f1722]) ).

thf(f2205,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( city @ sK2 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK2 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_58
    | ~ spl1_79
    | ~ spl1_90
    | ~ spl1_92 ),
    inference(trivial_inequality_removal,[status(thm)],[f2204]) ).

thf(f2204,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK2 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( city @ sK2 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_58
    | ~ spl1_79
    | ~ spl1_90
    | ~ spl1_92 ),
    inference(forward_demodulation,[status(thm)],[f2203,f1727]) ).

thf(f2203,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( hollywood @ sK2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( city @ sK2 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_58
    | ~ spl1_79
    | ~ spl1_90 ),
    inference(trivial_inequality_removal,[status(thm)],[f2202]) ).

thf(f2202,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false = $true )
        | ( $false
          = ( eiw_di @ sK2 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( city @ sK2 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( barrel @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ sK2 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_58
    | ~ spl1_79
    | ~ spl1_90 ),
    inference(forward_demodulation,[status(thm)],[f2201,f1717]) ).

thf(f2201,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( event @ sK3 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( barrel @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ sK2 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK2 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( city @ sK2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_58
    | ~ spl1_79 ),
    inference(trivial_inequality_removal,[status(thm)],[f2200]) ).

thf(f2200,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( barrel @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( event @ sK3 @ mactual ) )
        | ( $false
          = ( hollywood @ sK2 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( city @ sK2 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_58
    | ~ spl1_79 ),
    inference(forward_demodulation,[status(thm)],[f2181,f1558]) ).

thf(f2181,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( hollywood @ sK2 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( city @ sK2 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK3 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( event @ sK3 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK2 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( barrel @ sK3 @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_79 ),
    inference(trivial_inequality_removal,[status(thm)],[f2180]) ).

thf(f2180,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK2 @ mactual ) )
        | ( $false
          = ( hollywood @ sK2 @ mactual ) )
        | ( $false
          = ( city @ sK2 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ sK3 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( event @ sK3 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_79 ),
    inference(superposition,[status(thm)],[f1275,f1662]) ).

thf(f2210,plain,
    ( spl1_137
    | spl1_138
    | ~ spl1_1
    | ~ spl1_39
    | ~ spl1_58
    | ~ spl1_79
    | ~ spl1_90
    | ~ spl1_91
    | ~ spl1_92 ),
    inference(avatar_split_clause,[status(thm)],[f2209,f1725,f1720,f1715,f1660,f1556,f1462,f1274,f2197,f2194]) ).

thf(f2209,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK3 @ X1 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( lonely @ X0 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_39
    | ~ spl1_58
    | ~ spl1_79
    | ~ spl1_90
    | ~ spl1_91
    | ~ spl1_92 ),
    inference(trivial_inequality_removal,[status(thm)],[f2208]) ).

thf(f2208,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( lonely @ X0 @ mactual ) )
        | ( $false
          = ( street @ X0 @ mactual ) )
        | ( $false
          = ( car @ X1 @ mactual ) )
        | ( $false
          = ( way @ X0 @ mactual ) )
        | ( $false
          = ( white @ X1 @ mactual ) )
        | ( $false
          = ( eiw_di @ X0 @ mactual ) )
        | ( $false
          = ( dirty @ X1 @ mactual ) )
        | ( $false
          = ( down @ sK3 @ X0 @ mactual ) )
        | ( $false
          = ( old @ X1 @ mactual ) )
        | ( $false = $true )
        | ( $false
          = ( eiw_di @ X1 @ mactual ) )
        | ( $false
          = ( chevy @ X1 @ mactual ) )
        | ( $false
          = ( barrel @ sK3 @ X1 @ mactual ) ) )
    | ~ spl1_1
    | ~ spl1_39
    | ~ spl1_58
    | ~ spl1_79
    | ~ spl1_90
    | ~ spl1_91
    | ~ spl1_92 ),
    inference(forward_demodulation,[status(thm)],[f2207,f1464]) ).

thf(f2176,plain,
    ( spl1_109
    | spl1_92 ),
    inference(avatar_split_clause,[status(thm)],[f106,f1725,f1810]) ).

thf(f106,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( $true
      = ( hollywood @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f104]) ).

thf(f104,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( ( ( hollywood @ sK5 @ mactual )
        & ( city @ sK5 @ mactual )
        & ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f102]) ).

thf(f102,plain,
    ( ( $true
      = ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( ( hollywood @ sK5 @ mactual )
        & ( city @ sK5 @ mactual )
        & ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f100]) ).

thf(f100,plain,
    ( ( ( ( hollywood @ sK5 @ mactual )
        & ( city @ sK5 @ mactual )
        & ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual )
        & ( eiw_di @ sK9 @ mactual ) )
      = $true )
    | ( $true
      = ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f99]) ).

thf(f99,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( hollywood @ sK5 @ mactual )
            & ( city @ sK5 @ mactual )
            & ( event @ sK7 @ mactual )
            & ( chevy @ sK8 @ mactual )
            & ( car @ sK8 @ mactual )
            & ( white @ sK8 @ mactual )
            & ( dirty @ sK8 @ mactual )
            & ( old @ sK8 @ mactual )
            & ( street @ Y0 @ mactual )
            & ( way @ Y0 @ mactual )
            & ( lonely @ Y0 @ mactual )
            & ( barrel @ sK7 @ sK8 @ mactual )
            & ( down @ sK7 @ Y0 @ mactual )
            & ( in @ sK7 @ sK5 @ mactual )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK9 )
      = $true )
    | ( $true
      = ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) ) ),
    inference(sigma_clausification,[status(thm)],[f98]) ).

thf(f98,plain,
    ( ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( hollywood @ sK5 @ mactual )
            & ( city @ sK5 @ mactual )
            & ( event @ sK7 @ mactual )
            & ( chevy @ sK8 @ mactual )
            & ( car @ sK8 @ mactual )
            & ( white @ sK8 @ mactual )
            & ( dirty @ sK8 @ mactual )
            & ( old @ sK8 @ mactual )
            & ( street @ Y0 @ mactual )
            & ( way @ Y0 @ mactual )
            & ( lonely @ Y0 @ mactual )
            & ( barrel @ sK7 @ sK8 @ mactual )
            & ( down @ sK7 @ Y0 @ mactual )
            & ( in @ sK7 @ sK5 @ mactual )
            & ( eiw_di @ Y0 @ mactual ) ) ) )
    | ( $true
      = ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f96]) ).

thf(f96,plain,
    ( ( ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual )
        & ( eiw_di @ sK6 @ mactual ) )
      = $true )
    | ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( hollywood @ sK5 @ mactual )
            & ( city @ sK5 @ mactual )
            & ( event @ sK7 @ mactual )
            & ( chevy @ sK8 @ mactual )
            & ( car @ sK8 @ mactual )
            & ( white @ sK8 @ mactual )
            & ( dirty @ sK8 @ mactual )
            & ( old @ sK8 @ mactual )
            & ( street @ Y0 @ mactual )
            & ( way @ Y0 @ mactual )
            & ( lonely @ Y0 @ mactual )
            & ( barrel @ sK7 @ sK8 @ mactual )
            & ( down @ sK7 @ Y0 @ mactual )
            & ( in @ sK7 @ sK5 @ mactual )
            & ( eiw_di @ Y0 @ mactual ) ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f94]) ).

thf(f94,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ sK5 @ mactual )
              & ( city @ sK5 @ mactual )
              & ( event @ sK7 @ mactual )
              & ( chevy @ sK8 @ mactual )
              & ( car @ sK8 @ mactual )
              & ( white @ sK8 @ mactual )
              & ( dirty @ sK8 @ mactual )
              & ( old @ sK8 @ mactual )
              & ( street @ Y0 @ mactual )
              & ( way @ Y0 @ mactual )
              & ( lonely @ Y0 @ mactual )
              & ( barrel @ sK7 @ sK8 @ mactual )
              & ( down @ sK7 @ Y0 @ mactual )
              & ( in @ sK7 @ sK5 @ mactual )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK8 @ mactual ) )
      = $true )
    | ( ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual )
        & ( eiw_di @ sK6 @ mactual ) )
      = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f93]) ).

thf(f93,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( hollywood @ sK5 @ mactual )
                  & ( city @ sK5 @ mactual )
                  & ( event @ sK7 @ mactual )
                  & ( chevy @ Y0 @ mactual )
                  & ( car @ Y0 @ mactual )
                  & ( white @ Y0 @ mactual )
                  & ( dirty @ Y0 @ mactual )
                  & ( old @ Y0 @ mactual )
                  & ( street @ Y1 @ mactual )
                  & ( way @ Y1 @ mactual )
                  & ( lonely @ Y1 @ mactual )
                  & ( barrel @ sK7 @ Y0 @ mactual )
                  & ( down @ sK7 @ Y1 @ mactual )
                  & ( in @ sK7 @ sK5 @ mactual )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK8 )
      = $true )
    | ( ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual )
        & ( eiw_di @ sK6 @ mactual ) )
      = $true ) ),
    inference(sigma_clausification,[status(thm)],[f92]) ).

thf(f92,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( hollywood @ sK5 @ mactual )
                  & ( city @ sK5 @ mactual )
                  & ( event @ sK7 @ mactual )
                  & ( chevy @ Y0 @ mactual )
                  & ( car @ Y0 @ mactual )
                  & ( white @ Y0 @ mactual )
                  & ( dirty @ Y0 @ mactual )
                  & ( old @ Y0 @ mactual )
                  & ( street @ Y1 @ mactual )
                  & ( way @ Y1 @ mactual )
                  & ( lonely @ Y1 @ mactual )
                  & ( barrel @ sK7 @ Y0 @ mactual )
                  & ( down @ sK7 @ Y1 @ mactual )
                  & ( in @ sK7 @ sK5 @ mactual )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | ( ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual )
        & ( eiw_di @ sK6 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f90]) ).

thf(f90,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( hollywood @ sK5 @ mactual )
                    & ( city @ sK5 @ mactual )
                    & ( event @ sK7 @ mactual )
                    & ( chevy @ Y0 @ mactual )
                    & ( car @ Y0 @ mactual )
                    & ( white @ Y0 @ mactual )
                    & ( dirty @ Y0 @ mactual )
                    & ( old @ Y0 @ mactual )
                    & ( street @ Y1 @ mactual )
                    & ( way @ Y1 @ mactual )
                    & ( lonely @ Y1 @ mactual )
                    & ( barrel @ sK7 @ Y0 @ mactual )
                    & ( down @ sK7 @ Y1 @ mactual )
                    & ( in @ sK7 @ sK5 @ mactual )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK7 @ mactual ) )
      = $true )
    | ( ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual )
        & ( eiw_di @ sK6 @ mactual ) )
      = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f89]) ).

thf(f89,plain,
    ( ( ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual )
        & ( eiw_di @ sK6 @ mactual ) )
      = $true )
    | ( $true
      = ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( hollywood @ sK5 @ mactual )
                        & ( city @ sK5 @ mactual )
                        & ( event @ Y0 @ mactual )
                        & ( chevy @ Y1 @ mactual )
                        & ( car @ Y1 @ mactual )
                        & ( white @ Y1 @ mactual )
                        & ( dirty @ Y1 @ mactual )
                        & ( old @ Y1 @ mactual )
                        & ( street @ Y2 @ mactual )
                        & ( way @ Y2 @ mactual )
                        & ( lonely @ Y2 @ mactual )
                        & ( barrel @ Y0 @ Y1 @ mactual )
                        & ( down @ Y0 @ Y2 @ mactual )
                        & ( in @ Y0 @ sK5 @ mactual )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK7 ) ) ),
    inference(sigma_clausification,[status(thm)],[f88]) ).

thf(f88,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( hollywood @ sK5 @ mactual )
                        & ( city @ sK5 @ mactual )
                        & ( event @ Y0 @ mactual )
                        & ( chevy @ Y1 @ mactual )
                        & ( car @ Y1 @ mactual )
                        & ( white @ Y1 @ mactual )
                        & ( dirty @ Y1 @ mactual )
                        & ( old @ Y1 @ mactual )
                        & ( street @ Y2 @ mactual )
                        & ( way @ Y2 @ mactual )
                        & ( lonely @ Y2 @ mactual )
                        & ( barrel @ Y0 @ Y1 @ mactual )
                        & ( down @ Y0 @ Y2 @ mactual )
                        & ( in @ Y0 @ sK5 @ mactual )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | ( ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual )
        & ( eiw_di @ sK6 @ mactual ) )
      = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f87]) ).

thf(f87,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( hollywood @ sK2 @ mactual )
            & ( city @ sK2 @ mactual )
            & ( event @ sK3 @ mactual )
            & ( street @ sK4 @ mactual )
            & ( way @ sK4 @ mactual )
            & ( lonely @ sK4 @ mactual )
            & ( chevy @ Y0 @ mactual )
            & ( car @ Y0 @ mactual )
            & ( white @ Y0 @ mactual )
            & ( dirty @ Y0 @ mactual )
            & ( old @ Y0 @ mactual )
            & ( barrel @ sK3 @ Y0 @ mactual )
            & ( down @ sK3 @ sK4 @ mactual )
            & ( in @ sK3 @ sK2 @ mactual )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK6 )
      = $true )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( hollywood @ sK5 @ mactual )
                        & ( city @ sK5 @ mactual )
                        & ( event @ Y0 @ mactual )
                        & ( chevy @ Y1 @ mactual )
                        & ( car @ Y1 @ mactual )
                        & ( white @ Y1 @ mactual )
                        & ( dirty @ Y1 @ mactual )
                        & ( old @ Y1 @ mactual )
                        & ( street @ Y2 @ mactual )
                        & ( way @ Y2 @ mactual )
                        & ( lonely @ Y2 @ mactual )
                        & ( barrel @ Y0 @ Y1 @ mactual )
                        & ( down @ Y0 @ Y2 @ mactual )
                        & ( in @ Y0 @ sK5 @ mactual )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true ) ),
    inference(sigma_clausification,[status(thm)],[f86]) ).

thf(f86,plain,
    ( ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( hollywood @ sK2 @ mactual )
            & ( city @ sK2 @ mactual )
            & ( event @ sK3 @ mactual )
            & ( street @ sK4 @ mactual )
            & ( way @ sK4 @ mactual )
            & ( lonely @ sK4 @ mactual )
            & ( chevy @ Y0 @ mactual )
            & ( car @ Y0 @ mactual )
            & ( white @ Y0 @ mactual )
            & ( dirty @ Y0 @ mactual )
            & ( old @ Y0 @ mactual )
            & ( barrel @ sK3 @ Y0 @ mactual )
            & ( down @ sK3 @ sK4 @ mactual )
            & ( in @ sK3 @ sK2 @ mactual )
            & ( eiw_di @ Y0 @ mactual ) ) ) )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( hollywood @ sK5 @ mactual )
                        & ( city @ sK5 @ mactual )
                        & ( event @ Y0 @ mactual )
                        & ( chevy @ Y1 @ mactual )
                        & ( car @ Y1 @ mactual )
                        & ( white @ Y1 @ mactual )
                        & ( dirty @ Y1 @ mactual )
                        & ( old @ Y1 @ mactual )
                        & ( street @ Y2 @ mactual )
                        & ( way @ Y2 @ mactual )
                        & ( lonely @ Y2 @ mactual )
                        & ( barrel @ Y0 @ Y1 @ mactual )
                        & ( down @ Y0 @ Y2 @ mactual )
                        & ( in @ Y0 @ sK5 @ mactual )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f84]) ).

thf(f84,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ sK2 @ mactual )
              & ( city @ sK2 @ mactual )
              & ( event @ sK3 @ mactual )
              & ( street @ sK4 @ mactual )
              & ( way @ sK4 @ mactual )
              & ( lonely @ sK4 @ mactual )
              & ( chevy @ Y0 @ mactual )
              & ( car @ Y0 @ mactual )
              & ( white @ Y0 @ mactual )
              & ( dirty @ Y0 @ mactual )
              & ( old @ Y0 @ mactual )
              & ( barrel @ sK3 @ Y0 @ mactual )
              & ( down @ sK3 @ sK4 @ mactual )
              & ( in @ sK3 @ sK2 @ mactual )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK4 @ mactual ) )
      = $true )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( hollywood @ sK5 @ mactual )
                        & ( city @ sK5 @ mactual )
                        & ( event @ Y0 @ mactual )
                        & ( chevy @ Y1 @ mactual )
                        & ( car @ Y1 @ mactual )
                        & ( white @ Y1 @ mactual )
                        & ( dirty @ Y1 @ mactual )
                        & ( old @ Y1 @ mactual )
                        & ( street @ Y2 @ mactual )
                        & ( way @ Y2 @ mactual )
                        & ( lonely @ Y2 @ mactual )
                        & ( barrel @ Y0 @ Y1 @ mactual )
                        & ( down @ Y0 @ Y2 @ mactual )
                        & ( in @ Y0 @ sK5 @ mactual )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f82]) ).

thf(f82,plain,
    ( ( $true
      = ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( hollywood @ sK5 @ mactual )
                          & ( city @ sK5 @ mactual )
                          & ( event @ Y0 @ mactual )
                          & ( chevy @ Y1 @ mactual )
                          & ( car @ Y1 @ mactual )
                          & ( white @ Y1 @ mactual )
                          & ( dirty @ Y1 @ mactual )
                          & ( old @ Y1 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( barrel @ Y0 @ Y1 @ mactual )
                          & ( down @ Y0 @ Y2 @ mactual )
                          & ( in @ Y0 @ sK5 @ mactual )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK5 @ mactual ) ) )
    | ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ sK2 @ mactual )
              & ( city @ sK2 @ mactual )
              & ( event @ sK3 @ mactual )
              & ( street @ sK4 @ mactual )
              & ( way @ sK4 @ mactual )
              & ( lonely @ sK4 @ mactual )
              & ( chevy @ Y0 @ mactual )
              & ( car @ Y0 @ mactual )
              & ( white @ Y0 @ mactual )
              & ( dirty @ Y0 @ mactual )
              & ( old @ Y0 @ mactual )
              & ( barrel @ sK3 @ Y0 @ mactual )
              & ( down @ sK3 @ sK4 @ mactual )
              & ( in @ sK3 @ sK2 @ mactual )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK4 @ mactual ) )
      = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f81]) ).

thf(f81,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ sK2 @ mactual )
              & ( city @ sK2 @ mactual )
              & ( event @ sK3 @ mactual )
              & ( street @ sK4 @ mactual )
              & ( way @ sK4 @ mactual )
              & ( lonely @ sK4 @ mactual )
              & ( chevy @ Y0 @ mactual )
              & ( car @ Y0 @ mactual )
              & ( white @ Y0 @ mactual )
              & ( dirty @ Y0 @ mactual )
              & ( old @ Y0 @ mactual )
              & ( barrel @ sK3 @ Y0 @ mactual )
              & ( down @ sK3 @ sK4 @ mactual )
              & ( in @ sK3 @ sK2 @ mactual )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK4 @ mactual ) )
      = $true )
    | ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( hollywood @ Y0 @ mactual )
                              & ( city @ Y0 @ mactual )
                              & ( event @ Y1 @ mactual )
                              & ( chevy @ Y2 @ mactual )
                              & ( car @ Y2 @ mactual )
                              & ( white @ Y2 @ mactual )
                              & ( dirty @ Y2 @ mactual )
                              & ( old @ Y2 @ mactual )
                              & ( street @ Y3 @ mactual )
                              & ( way @ Y3 @ mactual )
                              & ( lonely @ Y3 @ mactual )
                              & ( barrel @ Y1 @ Y2 @ mactual )
                              & ( down @ Y1 @ Y3 @ mactual )
                              & ( in @ Y1 @ Y0 @ mactual )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK5 )
      = $true ) ),
    inference(sigma_clausification,[status(thm)],[f80]) ).

thf(f80,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( hollywood @ Y0 @ mactual )
                              & ( city @ Y0 @ mactual )
                              & ( event @ Y1 @ mactual )
                              & ( chevy @ Y2 @ mactual )
                              & ( car @ Y2 @ mactual )
                              & ( white @ Y2 @ mactual )
                              & ( dirty @ Y2 @ mactual )
                              & ( old @ Y2 @ mactual )
                              & ( street @ Y3 @ mactual )
                              & ( way @ Y3 @ mactual )
                              & ( lonely @ Y3 @ mactual )
                              & ( barrel @ Y1 @ Y2 @ mactual )
                              & ( down @ Y1 @ Y3 @ mactual )
                              & ( in @ Y1 @ Y0 @ mactual )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ sK2 @ mactual )
              & ( city @ sK2 @ mactual )
              & ( event @ sK3 @ mactual )
              & ( street @ sK4 @ mactual )
              & ( way @ sK4 @ mactual )
              & ( lonely @ sK4 @ mactual )
              & ( chevy @ Y0 @ mactual )
              & ( car @ Y0 @ mactual )
              & ( white @ Y0 @ mactual )
              & ( dirty @ Y0 @ mactual )
              & ( old @ Y0 @ mactual )
              & ( barrel @ sK3 @ Y0 @ mactual )
              & ( down @ sK3 @ sK4 @ mactual )
              & ( in @ sK3 @ sK2 @ mactual )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK4 @ mactual ) )
      = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f79]) ).

thf(f79,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( hollywood @ sK2 @ mactual )
                  & ( city @ sK2 @ mactual )
                  & ( event @ sK3 @ mactual )
                  & ( street @ Y0 @ mactual )
                  & ( way @ Y0 @ mactual )
                  & ( lonely @ Y0 @ mactual )
                  & ( chevy @ Y1 @ mactual )
                  & ( car @ Y1 @ mactual )
                  & ( white @ Y1 @ mactual )
                  & ( dirty @ Y1 @ mactual )
                  & ( old @ Y1 @ mactual )
                  & ( barrel @ sK3 @ Y1 @ mactual )
                  & ( down @ sK3 @ Y0 @ mactual )
                  & ( in @ sK3 @ sK2 @ mactual )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK4 )
      = $true )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( hollywood @ Y0 @ mactual )
                              & ( city @ Y0 @ mactual )
                              & ( event @ Y1 @ mactual )
                              & ( chevy @ Y2 @ mactual )
                              & ( car @ Y2 @ mactual )
                              & ( white @ Y2 @ mactual )
                              & ( dirty @ Y2 @ mactual )
                              & ( old @ Y2 @ mactual )
                              & ( street @ Y3 @ mactual )
                              & ( way @ Y3 @ mactual )
                              & ( lonely @ Y3 @ mactual )
                              & ( barrel @ Y1 @ Y2 @ mactual )
                              & ( down @ Y1 @ Y3 @ mactual )
                              & ( in @ Y1 @ Y0 @ mactual )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true ) ),
    inference(sigma_clausification,[status(thm)],[f78]) ).

thf(f78,plain,
    ( ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( hollywood @ sK2 @ mactual )
                  & ( city @ sK2 @ mactual )
                  & ( event @ sK3 @ mactual )
                  & ( street @ Y0 @ mactual )
                  & ( way @ Y0 @ mactual )
                  & ( lonely @ Y0 @ mactual )
                  & ( chevy @ Y1 @ mactual )
                  & ( car @ Y1 @ mactual )
                  & ( white @ Y1 @ mactual )
                  & ( dirty @ Y1 @ mactual )
                  & ( old @ Y1 @ mactual )
                  & ( barrel @ sK3 @ Y1 @ mactual )
                  & ( down @ sK3 @ Y0 @ mactual )
                  & ( in @ sK3 @ sK2 @ mactual )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) ) )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( hollywood @ Y0 @ mactual )
                              & ( city @ Y0 @ mactual )
                              & ( event @ Y1 @ mactual )
                              & ( chevy @ Y2 @ mactual )
                              & ( car @ Y2 @ mactual )
                              & ( white @ Y2 @ mactual )
                              & ( dirty @ Y2 @ mactual )
                              & ( old @ Y2 @ mactual )
                              & ( street @ Y3 @ mactual )
                              & ( way @ Y3 @ mactual )
                              & ( lonely @ Y3 @ mactual )
                              & ( barrel @ Y1 @ Y2 @ mactual )
                              & ( down @ Y1 @ Y3 @ mactual )
                              & ( in @ Y1 @ Y0 @ mactual )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f76]) ).

thf(f76,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( hollywood @ sK2 @ mactual )
                    & ( city @ sK2 @ mactual )
                    & ( event @ sK3 @ mactual )
                    & ( street @ Y0 @ mactual )
                    & ( way @ Y0 @ mactual )
                    & ( lonely @ Y0 @ mactual )
                    & ( chevy @ Y1 @ mactual )
                    & ( car @ Y1 @ mactual )
                    & ( white @ Y1 @ mactual )
                    & ( dirty @ Y1 @ mactual )
                    & ( old @ Y1 @ mactual )
                    & ( barrel @ sK3 @ Y1 @ mactual )
                    & ( down @ sK3 @ Y0 @ mactual )
                    & ( in @ sK3 @ sK2 @ mactual )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK3 @ mactual ) )
      = $true )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( hollywood @ Y0 @ mactual )
                              & ( city @ Y0 @ mactual )
                              & ( event @ Y1 @ mactual )
                              & ( chevy @ Y2 @ mactual )
                              & ( car @ Y2 @ mactual )
                              & ( white @ Y2 @ mactual )
                              & ( dirty @ Y2 @ mactual )
                              & ( old @ Y2 @ mactual )
                              & ( street @ Y3 @ mactual )
                              & ( way @ Y3 @ mactual )
                              & ( lonely @ Y3 @ mactual )
                              & ( barrel @ Y1 @ Y2 @ mactual )
                              & ( down @ Y1 @ Y3 @ mactual )
                              & ( in @ Y1 @ Y0 @ mactual )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f75]) ).

thf(f75,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( hollywood @ sK2 @ mactual )
                        & ( city @ sK2 @ mactual )
                        & ( event @ Y0 @ mactual )
                        & ( street @ Y1 @ mactual )
                        & ( way @ Y1 @ mactual )
                        & ( lonely @ Y1 @ mactual )
                        & ( chevy @ Y2 @ mactual )
                        & ( car @ Y2 @ mactual )
                        & ( white @ Y2 @ mactual )
                        & ( dirty @ Y2 @ mactual )
                        & ( old @ Y2 @ mactual )
                        & ( barrel @ Y0 @ Y2 @ mactual )
                        & ( down @ Y0 @ Y1 @ mactual )
                        & ( in @ Y0 @ sK2 @ mactual )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK3 )
      = $true )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( hollywood @ Y0 @ mactual )
                              & ( city @ Y0 @ mactual )
                              & ( event @ Y1 @ mactual )
                              & ( chevy @ Y2 @ mactual )
                              & ( car @ Y2 @ mactual )
                              & ( white @ Y2 @ mactual )
                              & ( dirty @ Y2 @ mactual )
                              & ( old @ Y2 @ mactual )
                              & ( street @ Y3 @ mactual )
                              & ( way @ Y3 @ mactual )
                              & ( lonely @ Y3 @ mactual )
                              & ( barrel @ Y1 @ Y2 @ mactual )
                              & ( down @ Y1 @ Y3 @ mactual )
                              & ( in @ Y1 @ Y0 @ mactual )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true ) ),
    inference(sigma_clausification,[status(thm)],[f74]) ).

thf(f74,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( hollywood @ sK2 @ mactual )
                        & ( city @ sK2 @ mactual )
                        & ( event @ Y0 @ mactual )
                        & ( street @ Y1 @ mactual )
                        & ( way @ Y1 @ mactual )
                        & ( lonely @ Y1 @ mactual )
                        & ( chevy @ Y2 @ mactual )
                        & ( car @ Y2 @ mactual )
                        & ( white @ Y2 @ mactual )
                        & ( dirty @ Y2 @ mactual )
                        & ( old @ Y2 @ mactual )
                        & ( barrel @ Y0 @ Y2 @ mactual )
                        & ( down @ Y0 @ Y1 @ mactual )
                        & ( in @ Y0 @ sK2 @ mactual )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( hollywood @ Y0 @ mactual )
                              & ( city @ Y0 @ mactual )
                              & ( event @ Y1 @ mactual )
                              & ( chevy @ Y2 @ mactual )
                              & ( car @ Y2 @ mactual )
                              & ( white @ Y2 @ mactual )
                              & ( dirty @ Y2 @ mactual )
                              & ( old @ Y2 @ mactual )
                              & ( street @ Y3 @ mactual )
                              & ( way @ Y3 @ mactual )
                              & ( lonely @ Y3 @ mactual )
                              & ( barrel @ Y1 @ Y2 @ mactual )
                              & ( down @ Y1 @ Y3 @ mactual )
                              & ( in @ Y1 @ Y0 @ mactual )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f72]) ).

thf(f72,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( hollywood @ sK2 @ mactual )
                          & ( city @ sK2 @ mactual )
                          & ( event @ Y0 @ mactual )
                          & ( street @ Y1 @ mactual )
                          & ( way @ Y1 @ mactual )
                          & ( lonely @ Y1 @ mactual )
                          & ( chevy @ Y2 @ mactual )
                          & ( car @ Y2 @ mactual )
                          & ( white @ Y2 @ mactual )
                          & ( dirty @ Y2 @ mactual )
                          & ( old @ Y2 @ mactual )
                          & ( barrel @ Y0 @ Y2 @ mactual )
                          & ( down @ Y0 @ Y1 @ mactual )
                          & ( in @ Y0 @ sK2 @ mactual )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK2 @ mactual ) )
      = $true )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( hollywood @ Y0 @ mactual )
                              & ( city @ Y0 @ mactual )
                              & ( event @ Y1 @ mactual )
                              & ( chevy @ Y2 @ mactual )
                              & ( car @ Y2 @ mactual )
                              & ( white @ Y2 @ mactual )
                              & ( dirty @ Y2 @ mactual )
                              & ( old @ Y2 @ mactual )
                              & ( street @ Y3 @ mactual )
                              & ( way @ Y3 @ mactual )
                              & ( lonely @ Y3 @ mactual )
                              & ( barrel @ Y1 @ Y2 @ mactual )
                              & ( down @ Y1 @ Y3 @ mactual )
                              & ( in @ Y1 @ Y0 @ mactual )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f71]) ).

thf(f71,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( hollywood @ Y0 @ mactual )
                              & ( city @ Y0 @ mactual )
                              & ( event @ Y1 @ mactual )
                              & ( street @ Y2 @ mactual )
                              & ( way @ Y2 @ mactual )
                              & ( lonely @ Y2 @ mactual )
                              & ( chevy @ Y3 @ mactual )
                              & ( car @ Y3 @ mactual )
                              & ( white @ Y3 @ mactual )
                              & ( dirty @ Y3 @ mactual )
                              & ( old @ Y3 @ mactual )
                              & ( barrel @ Y1 @ Y3 @ mactual )
                              & ( down @ Y1 @ Y2 @ mactual )
                              & ( in @ Y1 @ Y0 @ mactual )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK2 )
      = $true )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( hollywood @ Y0 @ mactual )
                              & ( city @ Y0 @ mactual )
                              & ( event @ Y1 @ mactual )
                              & ( chevy @ Y2 @ mactual )
                              & ( car @ Y2 @ mactual )
                              & ( white @ Y2 @ mactual )
                              & ( dirty @ Y2 @ mactual )
                              & ( old @ Y2 @ mactual )
                              & ( street @ Y3 @ mactual )
                              & ( way @ Y3 @ mactual )
                              & ( lonely @ Y3 @ mactual )
                              & ( barrel @ Y1 @ Y2 @ mactual )
                              & ( down @ Y1 @ Y3 @ mactual )
                              & ( in @ Y1 @ Y0 @ mactual )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true ) ),
    inference(sigma_clausification,[status(thm)],[f70]) ).

thf(f70,plain,
    ( ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( hollywood @ Y0 @ mactual )
                              & ( city @ Y0 @ mactual )
                              & ( event @ Y1 @ mactual )
                              & ( street @ Y2 @ mactual )
                              & ( way @ Y2 @ mactual )
                              & ( lonely @ Y2 @ mactual )
                              & ( chevy @ Y3 @ mactual )
                              & ( car @ Y3 @ mactual )
                              & ( white @ Y3 @ mactual )
                              & ( dirty @ Y3 @ mactual )
                              & ( old @ Y3 @ mactual )
                              & ( barrel @ Y1 @ Y3 @ mactual )
                              & ( down @ Y1 @ Y2 @ mactual )
                              & ( in @ Y1 @ Y0 @ mactual )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) ) )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( hollywood @ Y0 @ mactual )
                              & ( city @ Y0 @ mactual )
                              & ( event @ Y1 @ mactual )
                              & ( chevy @ Y2 @ mactual )
                              & ( car @ Y2 @ mactual )
                              & ( white @ Y2 @ mactual )
                              & ( dirty @ Y2 @ mactual )
                              & ( old @ Y2 @ mactual )
                              & ( street @ Y3 @ mactual )
                              & ( way @ Y3 @ mactual )
                              & ( lonely @ Y3 @ mactual )
                              & ( barrel @ Y1 @ Y2 @ mactual )
                              & ( down @ Y1 @ Y3 @ mactual )
                              & ( in @ Y1 @ Y0 @ mactual )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f68]) ).

thf(f68,plain,
    ( ( $false
      = ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( hollywood @ Y0 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( street @ Y2 @ mactual )
                                & ( way @ Y2 @ mactual )
                                & ( lonely @ Y2 @ mactual )
                                & ( chevy @ Y3 @ mactual )
                                & ( car @ Y3 @ mactual )
                                & ( white @ Y3 @ mactual )
                                & ( dirty @ Y3 @ mactual )
                                & ( old @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y3 @ mactual )
                                & ( down @ Y1 @ Y2 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
       => ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( hollywood @ Y0 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( chevy @ Y2 @ mactual )
                                & ( car @ Y2 @ mactual )
                                & ( white @ Y2 @ mactual )
                                & ( dirty @ Y2 @ mactual )
                                & ( old @ Y2 @ mactual )
                                & ( street @ Y3 @ mactual )
                                & ( way @ Y3 @ mactual )
                                & ( lonely @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y2 @ mactual )
                                & ( down @ Y1 @ Y3 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) ) )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( hollywood @ Y0 @ mactual )
                              & ( city @ Y0 @ mactual )
                              & ( event @ Y1 @ mactual )
                              & ( chevy @ Y2 @ mactual )
                              & ( car @ Y2 @ mactual )
                              & ( white @ Y2 @ mactual )
                              & ( dirty @ Y2 @ mactual )
                              & ( old @ Y2 @ mactual )
                              & ( street @ Y3 @ mactual )
                              & ( way @ Y3 @ mactual )
                              & ( lonely @ Y3 @ mactual )
                              & ( barrel @ Y1 @ Y2 @ mactual )
                              & ( down @ Y1 @ Y3 @ mactual )
                              & ( in @ Y1 @ Y0 @ mactual )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f66]) ).

thf(f66,plain,
    ( ( $false
      = ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( hollywood @ Y0 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( chevy @ Y2 @ mactual )
                                & ( car @ Y2 @ mactual )
                                & ( white @ Y2 @ mactual )
                                & ( dirty @ Y2 @ mactual )
                                & ( old @ Y2 @ mactual )
                                & ( street @ Y3 @ mactual )
                                & ( way @ Y3 @ mactual )
                                & ( lonely @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y2 @ mactual )
                                & ( down @ Y1 @ Y3 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
       => ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( hollywood @ Y0 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( street @ Y2 @ mactual )
                                & ( way @ Y2 @ mactual )
                                & ( lonely @ Y2 @ mactual )
                                & ( chevy @ Y3 @ mactual )
                                & ( car @ Y3 @ mactual )
                                & ( white @ Y3 @ mactual )
                                & ( dirty @ Y3 @ mactual )
                                & ( old @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y3 @ mactual )
                                & ( down @ Y1 @ Y2 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) ) )
    | ( $false
      = ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( hollywood @ Y0 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( street @ Y2 @ mactual )
                                & ( way @ Y2 @ mactual )
                                & ( lonely @ Y2 @ mactual )
                                & ( chevy @ Y3 @ mactual )
                                & ( car @ Y3 @ mactual )
                                & ( white @ Y3 @ mactual )
                                & ( dirty @ Y3 @ mactual )
                                & ( old @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y3 @ mactual )
                                & ( down @ Y1 @ Y2 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
       => ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( hollywood @ Y0 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( chevy @ Y2 @ mactual )
                                & ( car @ Y2 @ mactual )
                                & ( white @ Y2 @ mactual )
                                & ( dirty @ Y2 @ mactual )
                                & ( old @ Y2 @ mactual )
                                & ( street @ Y3 @ mactual )
                                & ( way @ Y3 @ mactual )
                                & ( lonely @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y2 @ mactual )
                                & ( down @ Y1 @ Y3 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f65]) ).

thf(f65,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( hollywood @ Y0 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( street @ Y2 @ mactual )
                                & ( way @ Y2 @ mactual )
                                & ( lonely @ Y2 @ mactual )
                                & ( chevy @ Y3 @ mactual )
                                & ( car @ Y3 @ mactual )
                                & ( white @ Y3 @ mactual )
                                & ( dirty @ Y3 @ mactual )
                                & ( old @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y3 @ mactual )
                                & ( down @ Y1 @ Y2 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
       => ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( hollywood @ Y0 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( chevy @ Y2 @ mactual )
                                & ( car @ Y2 @ mactual )
                                & ( white @ Y2 @ mactual )
                                & ( dirty @ Y2 @ mactual )
                                & ( old @ Y2 @ mactual )
                                & ( street @ Y3 @ mactual )
                                & ( way @ Y3 @ mactual )
                                & ( lonely @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y2 @ mactual )
                                & ( down @ Y1 @ Y3 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      & ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( hollywood @ Y0 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( chevy @ Y2 @ mactual )
                                & ( car @ Y2 @ mactual )
                                & ( white @ Y2 @ mactual )
                                & ( dirty @ Y2 @ mactual )
                                & ( old @ Y2 @ mactual )
                                & ( street @ Y3 @ mactual )
                                & ( way @ Y3 @ mactual )
                                & ( lonely @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y2 @ mactual )
                                & ( down @ Y1 @ Y3 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
       => ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( hollywood @ Y0 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( street @ Y2 @ mactual )
                                & ( way @ Y2 @ mactual )
                                & ( lonely @ Y2 @ mactual )
                                & ( chevy @ Y3 @ mactual )
                                & ( car @ Y3 @ mactual )
                                & ( white @ Y3 @ mactual )
                                & ( dirty @ Y3 @ mactual )
                                & ( old @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y3 @ mactual )
                                & ( down @ Y1 @ Y2 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) ) )
   != $true ),
    inference(beta_eta_normalization,[status(thm)],[f64]) ).

thf(f64,plain,
    ( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
            ( ( Y0 @ Y2 )
            & ( Y1 @ Y2 ) )
        @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
              ( ( Y0 @ Y2 )
             => ( Y1 @ Y2 ) )
          @ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
                ( ?? @ $i
                @ ^ [Y2: $i] :
                    ( ( Y0 @ Y2 @ Y1 )
                    & ( eiw_di @ Y2 @ Y1 ) ) )
            @ ^ [Y0: $i] :
                ( ^ [Y1: $i > mworld > $o,Y2: mworld] :
                    ( ?? @ $i
                    @ ^ [Y3: $i] :
                        ( ( Y1 @ Y3 @ Y2 )
                        & ( eiw_di @ Y3 @ Y2 ) ) )
                @ ^ [Y1: $i] :
                    ( ^ [Y2: $i > mworld > $o,Y3: mworld] :
                        ( ?? @ $i
                        @ ^ [Y4: $i] :
                            ( ( Y2 @ Y4 @ Y3 )
                            & ( eiw_di @ Y4 @ Y3 ) ) )
                    @ ^ [Y2: $i] :
                        ( ^ [Y3: $i > mworld > $o,Y4: mworld] :
                            ( ?? @ $i
                            @ ^ [Y5: $i] :
                                ( ( Y3 @ Y5 @ Y4 )
                                & ( eiw_di @ Y5 @ Y4 ) ) )
                        @ ^ [Y3: $i] :
                            ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                ( ( Y4 @ Y6 )
                                & ( Y5 @ Y6 ) )
                            @ ( hollywood @ Y0 )
                            @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                  ( ( Y4 @ Y6 )
                                  & ( Y5 @ Y6 ) )
                              @ ( city @ Y0 )
                              @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                    ( ( Y4 @ Y6 )
                                    & ( Y5 @ Y6 ) )
                                @ ( event @ Y1 )
                                @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                      ( ( Y4 @ Y6 )
                                      & ( Y5 @ Y6 ) )
                                  @ ( street @ Y2 )
                                  @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                        ( ( Y4 @ Y6 )
                                        & ( Y5 @ Y6 ) )
                                    @ ( way @ Y2 )
                                    @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                          ( ( Y4 @ Y6 )
                                          & ( Y5 @ Y6 ) )
                                      @ ( lonely @ Y2 )
                                      @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                            ( ( Y4 @ Y6 )
                                            & ( Y5 @ Y6 ) )
                                        @ ( chevy @ Y3 )
                                        @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                              ( ( Y4 @ Y6 )
                                              & ( Y5 @ Y6 ) )
                                          @ ( car @ Y3 )
                                          @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                                ( ( Y4 @ Y6 )
                                                & ( Y5 @ Y6 ) )
                                            @ ( white @ Y3 )
                                            @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                                  ( ( Y4 @ Y6 )
                                                  & ( Y5 @ Y6 ) )
                                              @ ( dirty @ Y3 )
                                              @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                                    ( ( Y4 @ Y6 )
                                                    & ( Y5 @ Y6 ) )
                                                @ ( old @ Y3 )
                                                @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                                      ( ( Y4 @ Y6 )
                                                      & ( Y5 @ Y6 ) )
                                                  @ ( barrel @ Y1 @ Y3 )
                                                  @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                                        ( ( Y4 @ Y6 )
                                                        & ( Y5 @ Y6 ) )
                                                    @ ( down @ Y1 @ Y2 )
                                                    @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
                ( ?? @ $i
                @ ^ [Y2: $i] :
                    ( ( Y0 @ Y2 @ Y1 )
                    & ( eiw_di @ Y2 @ Y1 ) ) )
            @ ^ [Y0: $i] :
                ( ^ [Y1: $i > mworld > $o,Y2: mworld] :
                    ( ?? @ $i
                    @ ^ [Y3: $i] :
                        ( ( Y1 @ Y3 @ Y2 )
                        & ( eiw_di @ Y3 @ Y2 ) ) )
                @ ^ [Y1: $i] :
                    ( ^ [Y2: $i > mworld > $o,Y3: mworld] :
                        ( ?? @ $i
                        @ ^ [Y4: $i] :
                            ( ( Y2 @ Y4 @ Y3 )
                            & ( eiw_di @ Y4 @ Y3 ) ) )
                    @ ^ [Y2: $i] :
                        ( ^ [Y3: $i > mworld > $o,Y4: mworld] :
                            ( ?? @ $i
                            @ ^ [Y5: $i] :
                                ( ( Y3 @ Y5 @ Y4 )
                                & ( eiw_di @ Y5 @ Y4 ) ) )
                        @ ^ [Y3: $i] :
                            ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                ( ( Y4 @ Y6 )
                                & ( Y5 @ Y6 ) )
                            @ ( hollywood @ Y0 )
                            @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                  ( ( Y4 @ Y6 )
                                  & ( Y5 @ Y6 ) )
                              @ ( city @ Y0 )
                              @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                    ( ( Y4 @ Y6 )
                                    & ( Y5 @ Y6 ) )
                                @ ( event @ Y1 )
                                @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                      ( ( Y4 @ Y6 )
                                      & ( Y5 @ Y6 ) )
                                  @ ( chevy @ Y2 )
                                  @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                        ( ( Y4 @ Y6 )
                                        & ( Y5 @ Y6 ) )
                                    @ ( car @ Y2 )
                                    @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                          ( ( Y4 @ Y6 )
                                          & ( Y5 @ Y6 ) )
                                      @ ( white @ Y2 )
                                      @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                            ( ( Y4 @ Y6 )
                                            & ( Y5 @ Y6 ) )
                                        @ ( dirty @ Y2 )
                                        @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                              ( ( Y4 @ Y6 )
                                              & ( Y5 @ Y6 ) )
                                          @ ( old @ Y2 )
                                          @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                                ( ( Y4 @ Y6 )
                                                & ( Y5 @ Y6 ) )
                                            @ ( street @ Y3 )
                                            @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                                  ( ( Y4 @ Y6 )
                                                  & ( Y5 @ Y6 ) )
                                              @ ( way @ Y3 )
                                              @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                                    ( ( Y4 @ Y6 )
                                                    & ( Y5 @ Y6 ) )
                                                @ ( lonely @ Y3 )
                                                @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                                      ( ( Y4 @ Y6 )
                                                      & ( Y5 @ Y6 ) )
                                                  @ ( barrel @ Y1 @ Y2 )
                                                  @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                                        ( ( Y4 @ Y6 )
                                                        & ( Y5 @ Y6 ) )
                                                    @ ( down @ Y1 @ Y3 )
                                                    @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
              ( ( Y0 @ Y2 )
             => ( Y1 @ Y2 ) )
          @ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
                ( ?? @ $i
                @ ^ [Y2: $i] :
                    ( ( Y0 @ Y2 @ Y1 )
                    & ( eiw_di @ Y2 @ Y1 ) ) )
            @ ^ [Y0: $i] :
                ( ^ [Y1: $i > mworld > $o,Y2: mworld] :
                    ( ?? @ $i
                    @ ^ [Y3: $i] :
                        ( ( Y1 @ Y3 @ Y2 )
                        & ( eiw_di @ Y3 @ Y2 ) ) )
                @ ^ [Y1: $i] :
                    ( ^ [Y2: $i > mworld > $o,Y3: mworld] :
                        ( ?? @ $i
                        @ ^ [Y4: $i] :
                            ( ( Y2 @ Y4 @ Y3 )
                            & ( eiw_di @ Y4 @ Y3 ) ) )
                    @ ^ [Y2: $i] :
                        ( ^ [Y3: $i > mworld > $o,Y4: mworld] :
                            ( ?? @ $i
                            @ ^ [Y5: $i] :
                                ( ( Y3 @ Y5 @ Y4 )
                                & ( eiw_di @ Y5 @ Y4 ) ) )
                        @ ^ [Y3: $i] :
                            ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                ( ( Y4 @ Y6 )
                                & ( Y5 @ Y6 ) )
                            @ ( hollywood @ Y0 )
                            @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                  ( ( Y4 @ Y6 )
                                  & ( Y5 @ Y6 ) )
                              @ ( city @ Y0 )
                              @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                    ( ( Y4 @ Y6 )
                                    & ( Y5 @ Y6 ) )
                                @ ( event @ Y1 )
                                @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                      ( ( Y4 @ Y6 )
                                      & ( Y5 @ Y6 ) )
                                  @ ( chevy @ Y2 )
                                  @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                        ( ( Y4 @ Y6 )
                                        & ( Y5 @ Y6 ) )
                                    @ ( car @ Y2 )
                                    @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                          ( ( Y4 @ Y6 )
                                          & ( Y5 @ Y6 ) )
                                      @ ( white @ Y2 )
                                      @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                            ( ( Y4 @ Y6 )
                                            & ( Y5 @ Y6 ) )
                                        @ ( dirty @ Y2 )
                                        @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                              ( ( Y4 @ Y6 )
                                              & ( Y5 @ Y6 ) )
                                          @ ( old @ Y2 )
                                          @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                                ( ( Y4 @ Y6 )
                                                & ( Y5 @ Y6 ) )
                                            @ ( street @ Y3 )
                                            @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                                  ( ( Y4 @ Y6 )
                                                  & ( Y5 @ Y6 ) )
                                              @ ( way @ Y3 )
                                              @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                                    ( ( Y4 @ Y6 )
                                                    & ( Y5 @ Y6 ) )
                                                @ ( lonely @ Y3 )
                                                @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                                      ( ( Y4 @ Y6 )
                                                      & ( Y5 @ Y6 ) )
                                                  @ ( barrel @ Y1 @ Y2 )
                                                  @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                                        ( ( Y4 @ Y6 )
                                                        & ( Y5 @ Y6 ) )
                                                    @ ( down @ Y1 @ Y3 )
                                                    @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
                ( ?? @ $i
                @ ^ [Y2: $i] :
                    ( ( Y0 @ Y2 @ Y1 )
                    & ( eiw_di @ Y2 @ Y1 ) ) )
            @ ^ [Y0: $i] :
                ( ^ [Y1: $i > mworld > $o,Y2: mworld] :
                    ( ?? @ $i
                    @ ^ [Y3: $i] :
                        ( ( Y1 @ Y3 @ Y2 )
                        & ( eiw_di @ Y3 @ Y2 ) ) )
                @ ^ [Y1: $i] :
                    ( ^ [Y2: $i > mworld > $o,Y3: mworld] :
                        ( ?? @ $i
                        @ ^ [Y4: $i] :
                            ( ( Y2 @ Y4 @ Y3 )
                            & ( eiw_di @ Y4 @ Y3 ) ) )
                    @ ^ [Y2: $i] :
                        ( ^ [Y3: $i > mworld > $o,Y4: mworld] :
                            ( ?? @ $i
                            @ ^ [Y5: $i] :
                                ( ( Y3 @ Y5 @ Y4 )
                                & ( eiw_di @ Y5 @ Y4 ) ) )
                        @ ^ [Y3: $i] :
                            ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                ( ( Y4 @ Y6 )
                                & ( Y5 @ Y6 ) )
                            @ ( hollywood @ Y0 )
                            @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                  ( ( Y4 @ Y6 )
                                  & ( Y5 @ Y6 ) )
                              @ ( city @ Y0 )
                              @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                    ( ( Y4 @ Y6 )
                                    & ( Y5 @ Y6 ) )
                                @ ( event @ Y1 )
                                @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                      ( ( Y4 @ Y6 )
                                      & ( Y5 @ Y6 ) )
                                  @ ( street @ Y2 )
                                  @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                        ( ( Y4 @ Y6 )
                                        & ( Y5 @ Y6 ) )
                                    @ ( way @ Y2 )
                                    @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                          ( ( Y4 @ Y6 )
                                          & ( Y5 @ Y6 ) )
                                      @ ( lonely @ Y2 )
                                      @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                            ( ( Y4 @ Y6 )
                                            & ( Y5 @ Y6 ) )
                                        @ ( chevy @ Y3 )
                                        @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                              ( ( Y4 @ Y6 )
                                              & ( Y5 @ Y6 ) )
                                          @ ( car @ Y3 )
                                          @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                                ( ( Y4 @ Y6 )
                                                & ( Y5 @ Y6 ) )
                                            @ ( white @ Y3 )
                                            @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                                  ( ( Y4 @ Y6 )
                                                  & ( Y5 @ Y6 ) )
                                              @ ( dirty @ Y3 )
                                              @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                                    ( ( Y4 @ Y6 )
                                                    & ( Y5 @ Y6 ) )
                                                @ ( old @ Y3 )
                                                @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                                      ( ( Y4 @ Y6 )
                                                      & ( Y5 @ Y6 ) )
                                                  @ ( barrel @ Y1 @ Y3 )
                                                  @ ( ^ [Y4: mworld > $o,Y5: mworld > $o,Y6: mworld] :
                                                        ( ( Y4 @ Y6 )
                                                        & ( Y5 @ Y6 ) )
                                                    @ ( down @ Y1 @ Y2 )
                                                    @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
   != $true ),
    inference(definition_unfolding,[status(thm)],[f60,f58,f54,f61,f62,f62,f62,f62,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f62,f62,f62,f62,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f61,f62,f62,f62,f62,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f62,f62,f62,f62,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54]) ).

thf(f62,plain,
    ( mexists_di
    = ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
          ( ?? @ $i
          @ ^ [Y2: $i] :
              ( ( Y0 @ Y2 @ Y1 )
              & ( eiw_di @ Y2 @ Y1 ) ) ) ) ),
    inference(cnf_transformation,[status(thm)],[f30]) ).

thf(f30,plain,
    ( mexists_di
    = ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
          ( ?? @ $i
          @ ^ [Y2: $i] :
              ( ( Y0 @ Y2 @ Y1 )
              & ( eiw_di @ Y2 @ Y1 ) ) ) ) ),
    inference(fool_elimination,[status(thm)],[f29]) ).

thf(f29,plain,
    ( mexists_di
    = ( ^ [X0: $i > mworld > $o,X1: mworld] :
        ? [X2: $i] :
          ( ( eiw_di @ X2 @ X1 )
          & ( X0 @ X2 @ X1 ) ) ) ),
    inference(rectify,[status(thm)],[f14]) ).

thf(f14,axiom,
    ( mexists_di
    = ( ^ [X1: $i > mworld > $o,X2: mworld] :
        ? [X6: $i] :
          ( ( eiw_di @ X6 @ X2 )
          & ( X1 @ X6 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.twi9RYEzwQ/DTF2THF_1393.p',mexists_di_def) ).

thf(f61,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[status(thm)],[f38]) ).

thf(f38,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[status(thm)],[f37]) ).

thf(f37,plain,
    ( mimplies
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
         => ( X1 @ X2 ) ) ) ),
    inference(rectify,[status(thm)],[f5]) ).

thf(f5,axiom,
    ( mimplies
    = ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
         => ( X3 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.twi9RYEzwQ/DTF2THF_1393.p',mimplies_def) ).

thf(f54,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
          & ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[status(thm)],[f19]) ).

thf(f19,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
          & ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[status(thm)],[f18]) ).

thf(f18,plain,
    ( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
          & ( X0 @ X2 ) ) )
    = mand ),
    inference(rectify,[status(thm)],[f3]) ).

thf(f3,axiom,
    ( ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
          ( ( X3 @ X2 )
          & ( X1 @ X2 ) ) )
    = mand ),
    file('/export/starexec/sandbox/tmp/tmp.twi9RYEzwQ/DTF2THF_1393.p',mand_def) ).

thf(f58,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(cnf_transformation,[status(thm)],[f28]) ).

thf(f28,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(fool_elimination,[status(thm)],[f1]) ).

thf(f1,axiom,
    ( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
    = mlocal ),
    file('/export/starexec/sandbox/tmp/tmp.twi9RYEzwQ/DTF2THF_1393.p',mlocal_def) ).

thf(f60,plain,
    ( ( mlocal
      @ ( mand
        @ ( mimplies
          @ ( mexists_di
            @ ^ [Y0: $i] :
                ( mexists_di
                @ ^ [Y1: $i] :
                    ( mexists_di
                    @ ^ [Y2: $i] :
                        ( mexists_di
                        @ ^ [Y3: $i] : ( mand @ ( hollywood @ Y0 ) @ ( mand @ ( city @ Y0 ) @ ( mand @ ( event @ Y1 ) @ ( mand @ ( street @ Y2 ) @ ( mand @ ( way @ Y2 ) @ ( mand @ ( lonely @ Y2 ) @ ( mand @ ( chevy @ Y3 ) @ ( mand @ ( car @ Y3 ) @ ( mand @ ( white @ Y3 ) @ ( mand @ ( dirty @ Y3 ) @ ( mand @ ( old @ Y3 ) @ ( mand @ ( barrel @ Y1 @ Y3 ) @ ( mand @ ( down @ Y1 @ Y2 ) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( mexists_di
            @ ^ [Y0: $i] :
                ( mexists_di
                @ ^ [Y1: $i] :
                    ( mexists_di
                    @ ^ [Y2: $i] :
                        ( mexists_di
                        @ ^ [Y3: $i] : ( mand @ ( hollywood @ Y0 ) @ ( mand @ ( city @ Y0 ) @ ( mand @ ( event @ Y1 ) @ ( mand @ ( chevy @ Y2 ) @ ( mand @ ( car @ Y2 ) @ ( mand @ ( white @ Y2 ) @ ( mand @ ( dirty @ Y2 ) @ ( mand @ ( old @ Y2 ) @ ( mand @ ( street @ Y3 ) @ ( mand @ ( way @ Y3 ) @ ( mand @ ( lonely @ Y3 ) @ ( mand @ ( barrel @ Y1 @ Y2 ) @ ( mand @ ( down @ Y1 @ Y3 ) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ ( mimplies
          @ ( mexists_di
            @ ^ [Y0: $i] :
                ( mexists_di
                @ ^ [Y1: $i] :
                    ( mexists_di
                    @ ^ [Y2: $i] :
                        ( mexists_di
                        @ ^ [Y3: $i] : ( mand @ ( hollywood @ Y0 ) @ ( mand @ ( city @ Y0 ) @ ( mand @ ( event @ Y1 ) @ ( mand @ ( chevy @ Y2 ) @ ( mand @ ( car @ Y2 ) @ ( mand @ ( white @ Y2 ) @ ( mand @ ( dirty @ Y2 ) @ ( mand @ ( old @ Y2 ) @ ( mand @ ( street @ Y3 ) @ ( mand @ ( way @ Y3 ) @ ( mand @ ( lonely @ Y3 ) @ ( mand @ ( barrel @ Y1 @ Y2 ) @ ( mand @ ( down @ Y1 @ Y3 ) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( mexists_di
            @ ^ [Y0: $i] :
                ( mexists_di
                @ ^ [Y1: $i] :
                    ( mexists_di
                    @ ^ [Y2: $i] :
                        ( mexists_di
                        @ ^ [Y3: $i] : ( mand @ ( hollywood @ Y0 ) @ ( mand @ ( city @ Y0 ) @ ( mand @ ( event @ Y1 ) @ ( mand @ ( street @ Y2 ) @ ( mand @ ( way @ Y2 ) @ ( mand @ ( lonely @ Y2 ) @ ( mand @ ( chevy @ Y3 ) @ ( mand @ ( car @ Y3 ) @ ( mand @ ( white @ Y3 ) @ ( mand @ ( dirty @ Y3 ) @ ( mand @ ( old @ Y3 ) @ ( mand @ ( barrel @ Y1 @ Y3 ) @ ( mand @ ( down @ Y1 @ Y2 ) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
   != $true ),
    inference(cnf_transformation,[status(thm)],[f47]) ).

thf(f47,plain,
    ( ( mlocal
      @ ( mand
        @ ( mimplies
          @ ( mexists_di
            @ ^ [Y0: $i] :
                ( mexists_di
                @ ^ [Y1: $i] :
                    ( mexists_di
                    @ ^ [Y2: $i] :
                        ( mexists_di
                        @ ^ [Y3: $i] : ( mand @ ( hollywood @ Y0 ) @ ( mand @ ( city @ Y0 ) @ ( mand @ ( event @ Y1 ) @ ( mand @ ( street @ Y2 ) @ ( mand @ ( way @ Y2 ) @ ( mand @ ( lonely @ Y2 ) @ ( mand @ ( chevy @ Y3 ) @ ( mand @ ( car @ Y3 ) @ ( mand @ ( white @ Y3 ) @ ( mand @ ( dirty @ Y3 ) @ ( mand @ ( old @ Y3 ) @ ( mand @ ( barrel @ Y1 @ Y3 ) @ ( mand @ ( down @ Y1 @ Y2 ) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( mexists_di
            @ ^ [Y0: $i] :
                ( mexists_di
                @ ^ [Y1: $i] :
                    ( mexists_di
                    @ ^ [Y2: $i] :
                        ( mexists_di
                        @ ^ [Y3: $i] : ( mand @ ( hollywood @ Y0 ) @ ( mand @ ( city @ Y0 ) @ ( mand @ ( event @ Y1 ) @ ( mand @ ( chevy @ Y2 ) @ ( mand @ ( car @ Y2 ) @ ( mand @ ( white @ Y2 ) @ ( mand @ ( dirty @ Y2 ) @ ( mand @ ( old @ Y2 ) @ ( mand @ ( street @ Y3 ) @ ( mand @ ( way @ Y3 ) @ ( mand @ ( lonely @ Y3 ) @ ( mand @ ( barrel @ Y1 @ Y2 ) @ ( mand @ ( down @ Y1 @ Y3 ) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ ( mimplies
          @ ( mexists_di
            @ ^ [Y0: $i] :
                ( mexists_di
                @ ^ [Y1: $i] :
                    ( mexists_di
                    @ ^ [Y2: $i] :
                        ( mexists_di
                        @ ^ [Y3: $i] : ( mand @ ( hollywood @ Y0 ) @ ( mand @ ( city @ Y0 ) @ ( mand @ ( event @ Y1 ) @ ( mand @ ( chevy @ Y2 ) @ ( mand @ ( car @ Y2 ) @ ( mand @ ( white @ Y2 ) @ ( mand @ ( dirty @ Y2 ) @ ( mand @ ( old @ Y2 ) @ ( mand @ ( street @ Y3 ) @ ( mand @ ( way @ Y3 ) @ ( mand @ ( lonely @ Y3 ) @ ( mand @ ( barrel @ Y1 @ Y2 ) @ ( mand @ ( down @ Y1 @ Y3 ) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( mexists_di
            @ ^ [Y0: $i] :
                ( mexists_di
                @ ^ [Y1: $i] :
                    ( mexists_di
                    @ ^ [Y2: $i] :
                        ( mexists_di
                        @ ^ [Y3: $i] : ( mand @ ( hollywood @ Y0 ) @ ( mand @ ( city @ Y0 ) @ ( mand @ ( event @ Y1 ) @ ( mand @ ( street @ Y2 ) @ ( mand @ ( way @ Y2 ) @ ( mand @ ( lonely @ Y2 ) @ ( mand @ ( chevy @ Y3 ) @ ( mand @ ( car @ Y3 ) @ ( mand @ ( white @ Y3 ) @ ( mand @ ( dirty @ Y3 ) @ ( mand @ ( old @ Y3 ) @ ( mand @ ( barrel @ Y1 @ Y3 ) @ ( mand @ ( down @ Y1 @ Y2 ) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
   != $true ),
    inference(flattening,[status(thm)],[f44]) ).

thf(f44,plain,
    ( ( mlocal
      @ ( mand
        @ ( mimplies
          @ ( mexists_di
            @ ^ [Y0: $i] :
                ( mexists_di
                @ ^ [Y1: $i] :
                    ( mexists_di
                    @ ^ [Y2: $i] :
                        ( mexists_di
                        @ ^ [Y3: $i] : ( mand @ ( hollywood @ Y0 ) @ ( mand @ ( city @ Y0 ) @ ( mand @ ( event @ Y1 ) @ ( mand @ ( street @ Y2 ) @ ( mand @ ( way @ Y2 ) @ ( mand @ ( lonely @ Y2 ) @ ( mand @ ( chevy @ Y3 ) @ ( mand @ ( car @ Y3 ) @ ( mand @ ( white @ Y3 ) @ ( mand @ ( dirty @ Y3 ) @ ( mand @ ( old @ Y3 ) @ ( mand @ ( barrel @ Y1 @ Y3 ) @ ( mand @ ( down @ Y1 @ Y2 ) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( mexists_di
            @ ^ [Y0: $i] :
                ( mexists_di
                @ ^ [Y1: $i] :
                    ( mexists_di
                    @ ^ [Y2: $i] :
                        ( mexists_di
                        @ ^ [Y3: $i] : ( mand @ ( hollywood @ Y0 ) @ ( mand @ ( city @ Y0 ) @ ( mand @ ( event @ Y1 ) @ ( mand @ ( chevy @ Y2 ) @ ( mand @ ( car @ Y2 ) @ ( mand @ ( white @ Y2 ) @ ( mand @ ( dirty @ Y2 ) @ ( mand @ ( old @ Y2 ) @ ( mand @ ( street @ Y3 ) @ ( mand @ ( way @ Y3 ) @ ( mand @ ( lonely @ Y3 ) @ ( mand @ ( barrel @ Y1 @ Y2 ) @ ( mand @ ( down @ Y1 @ Y3 ) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ ( mimplies
          @ ( mexists_di
            @ ^ [Y0: $i] :
                ( mexists_di
                @ ^ [Y1: $i] :
                    ( mexists_di
                    @ ^ [Y2: $i] :
                        ( mexists_di
                        @ ^ [Y3: $i] : ( mand @ ( hollywood @ Y0 ) @ ( mand @ ( city @ Y0 ) @ ( mand @ ( event @ Y1 ) @ ( mand @ ( chevy @ Y2 ) @ ( mand @ ( car @ Y2 ) @ ( mand @ ( white @ Y2 ) @ ( mand @ ( dirty @ Y2 ) @ ( mand @ ( old @ Y2 ) @ ( mand @ ( street @ Y3 ) @ ( mand @ ( way @ Y3 ) @ ( mand @ ( lonely @ Y3 ) @ ( mand @ ( barrel @ Y1 @ Y2 ) @ ( mand @ ( down @ Y1 @ Y3 ) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( mexists_di
            @ ^ [Y0: $i] :
                ( mexists_di
                @ ^ [Y1: $i] :
                    ( mexists_di
                    @ ^ [Y2: $i] :
                        ( mexists_di
                        @ ^ [Y3: $i] : ( mand @ ( hollywood @ Y0 ) @ ( mand @ ( city @ Y0 ) @ ( mand @ ( event @ Y1 ) @ ( mand @ ( street @ Y2 ) @ ( mand @ ( way @ Y2 ) @ ( mand @ ( lonely @ Y2 ) @ ( mand @ ( chevy @ Y3 ) @ ( mand @ ( car @ Y3 ) @ ( mand @ ( white @ Y3 ) @ ( mand @ ( dirty @ Y3 ) @ ( mand @ ( old @ Y3 ) @ ( mand @ ( barrel @ Y1 @ Y3 ) @ ( mand @ ( down @ Y1 @ Y2 ) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
   != $true ),
    inference(fool_elimination,[status(thm)],[f43]) ).

thf(f43,plain,
    ~ ( mlocal
      @ ( mand
        @ ( mimplies
          @ ( mexists_di
            @ ^ [X0: $i] :
                ( mexists_di
                @ ^ [X1: $i] :
                    ( mexists_di
                    @ ^ [X2: $i] :
                        ( mexists_di
                        @ ^ [X3: $i] : ( mand @ ( hollywood @ X0 ) @ ( mand @ ( city @ X0 ) @ ( mand @ ( event @ X1 ) @ ( mand @ ( street @ X2 ) @ ( mand @ ( way @ X2 ) @ ( mand @ ( lonely @ X2 ) @ ( mand @ ( chevy @ X3 ) @ ( mand @ ( car @ X3 ) @ ( mand @ ( white @ X3 ) @ ( mand @ ( dirty @ X3 ) @ ( mand @ ( old @ X3 ) @ ( mand @ ( barrel @ X1 @ X3 ) @ ( mand @ ( down @ X1 @ X2 ) @ ( in @ X1 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( mexists_di
            @ ^ [X4: $i] :
                ( mexists_di
                @ ^ [X5: $i] :
                    ( mexists_di
                    @ ^ [X6: $i] :
                        ( mexists_di
                        @ ^ [X7: $i] : ( mand @ ( hollywood @ X4 ) @ ( mand @ ( city @ X4 ) @ ( mand @ ( event @ X5 ) @ ( mand @ ( chevy @ X6 ) @ ( mand @ ( car @ X6 ) @ ( mand @ ( white @ X6 ) @ ( mand @ ( dirty @ X6 ) @ ( mand @ ( old @ X6 ) @ ( mand @ ( street @ X7 ) @ ( mand @ ( way @ X7 ) @ ( mand @ ( lonely @ X7 ) @ ( mand @ ( barrel @ X5 @ X6 ) @ ( mand @ ( down @ X5 @ X7 ) @ ( in @ X5 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ ( mimplies
          @ ( mexists_di
            @ ^ [X8: $i] :
                ( mexists_di
                @ ^ [X9: $i] :
                    ( mexists_di
                    @ ^ [X10: $i] :
                        ( mexists_di
                        @ ^ [X11: $i] : ( mand @ ( hollywood @ X8 ) @ ( mand @ ( city @ X8 ) @ ( mand @ ( event @ X9 ) @ ( mand @ ( chevy @ X10 ) @ ( mand @ ( car @ X10 ) @ ( mand @ ( white @ X10 ) @ ( mand @ ( dirty @ X10 ) @ ( mand @ ( old @ X10 ) @ ( mand @ ( street @ X11 ) @ ( mand @ ( way @ X11 ) @ ( mand @ ( lonely @ X11 ) @ ( mand @ ( barrel @ X9 @ X10 ) @ ( mand @ ( down @ X9 @ X11 ) @ ( in @ X9 @ X8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( mexists_di
            @ ^ [X12: $i] :
                ( mexists_di
                @ ^ [X13: $i] :
                    ( mexists_di
                    @ ^ [X14: $i] :
                        ( mexists_di
                        @ ^ [X15: $i] : ( mand @ ( hollywood @ X12 ) @ ( mand @ ( city @ X12 ) @ ( mand @ ( event @ X13 ) @ ( mand @ ( street @ X14 ) @ ( mand @ ( way @ X14 ) @ ( mand @ ( lonely @ X14 ) @ ( mand @ ( chevy @ X15 ) @ ( mand @ ( car @ X15 ) @ ( mand @ ( white @ X15 ) @ ( mand @ ( dirty @ X15 ) @ ( mand @ ( old @ X15 ) @ ( mand @ ( barrel @ X13 @ X15 ) @ ( mand @ ( down @ X13 @ X14 ) @ ( in @ X13 @ X12 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[status(thm)],[f16]) ).

thf(f16,negated_conjecture,
    ~ ( mlocal
      @ ( mand
        @ ( mimplies
          @ ( mexists_di
            @ ^ [X5: $i] :
                ( mexists_di
                @ ^ [X4: $i] :
                    ( mexists_di
                    @ ^ [X2: $i] :
                        ( mexists_di
                        @ ^ [X6: $i] : ( mand @ ( hollywood @ X5 ) @ ( mand @ ( city @ X5 ) @ ( mand @ ( event @ X4 ) @ ( mand @ ( street @ X2 ) @ ( mand @ ( way @ X2 ) @ ( mand @ ( lonely @ X2 ) @ ( mand @ ( chevy @ X6 ) @ ( mand @ ( car @ X6 ) @ ( mand @ ( white @ X6 ) @ ( mand @ ( dirty @ X6 ) @ ( mand @ ( old @ X6 ) @ ( mand @ ( barrel @ X4 @ X6 ) @ ( mand @ ( down @ X4 @ X2 ) @ ( in @ X4 @ X5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( mexists_di
            @ ^ [X7: $i] :
                ( mexists_di
                @ ^ [X8: $i] :
                    ( mexists_di
                    @ ^ [X9: $i] :
                        ( mexists_di
                        @ ^ [X10: $i] : ( mand @ ( hollywood @ X7 ) @ ( mand @ ( city @ X7 ) @ ( mand @ ( event @ X8 ) @ ( mand @ ( chevy @ X9 ) @ ( mand @ ( car @ X9 ) @ ( mand @ ( white @ X9 ) @ ( mand @ ( dirty @ X9 ) @ ( mand @ ( old @ X9 ) @ ( mand @ ( street @ X10 ) @ ( mand @ ( way @ X10 ) @ ( mand @ ( lonely @ X10 ) @ ( mand @ ( barrel @ X8 @ X9 ) @ ( mand @ ( down @ X8 @ X10 ) @ ( in @ X8 @ X7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ ( mimplies
          @ ( mexists_di
            @ ^ [X11: $i] :
                ( mexists_di
                @ ^ [X12: $i] :
                    ( mexists_di
                    @ ^ [X13: $i] :
                        ( mexists_di
                        @ ^ [X14: $i] : ( mand @ ( hollywood @ X11 ) @ ( mand @ ( city @ X11 ) @ ( mand @ ( event @ X12 ) @ ( mand @ ( chevy @ X13 ) @ ( mand @ ( car @ X13 ) @ ( mand @ ( white @ X13 ) @ ( mand @ ( dirty @ X13 ) @ ( mand @ ( old @ X13 ) @ ( mand @ ( street @ X14 ) @ ( mand @ ( way @ X14 ) @ ( mand @ ( lonely @ X14 ) @ ( mand @ ( barrel @ X12 @ X13 ) @ ( mand @ ( down @ X12 @ X14 ) @ ( in @ X12 @ X11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( mexists_di
            @ ^ [X15: $i] :
                ( mexists_di
                @ ^ [X16: $i] :
                    ( mexists_di
                    @ ^ [X17: $i] :
                        ( mexists_di
                        @ ^ [X18: $i] : ( mand @ ( hollywood @ X15 ) @ ( mand @ ( city @ X15 ) @ ( mand @ ( event @ X16 ) @ ( mand @ ( street @ X17 ) @ ( mand @ ( way @ X17 ) @ ( mand @ ( lonely @ X17 ) @ ( mand @ ( chevy @ X18 ) @ ( mand @ ( car @ X18 ) @ ( mand @ ( white @ X18 ) @ ( mand @ ( dirty @ X18 ) @ ( mand @ ( old @ X18 ) @ ( mand @ ( barrel @ X16 @ X18 ) @ ( mand @ ( down @ X16 @ X17 ) @ ( in @ X16 @ X15 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f15]) ).

thf(f15,conjecture,
    ( mlocal
    @ ( mand
      @ ( mimplies
        @ ( mexists_di
          @ ^ [X5: $i] :
              ( mexists_di
              @ ^ [X4: $i] :
                  ( mexists_di
                  @ ^ [X2: $i] :
                      ( mexists_di
                      @ ^ [X6: $i] : ( mand @ ( hollywood @ X5 ) @ ( mand @ ( city @ X5 ) @ ( mand @ ( event @ X4 ) @ ( mand @ ( street @ X2 ) @ ( mand @ ( way @ X2 ) @ ( mand @ ( lonely @ X2 ) @ ( mand @ ( chevy @ X6 ) @ ( mand @ ( car @ X6 ) @ ( mand @ ( white @ X6 ) @ ( mand @ ( dirty @ X6 ) @ ( mand @ ( old @ X6 ) @ ( mand @ ( barrel @ X4 @ X6 ) @ ( mand @ ( down @ X4 @ X2 ) @ ( in @ X4 @ X5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ ( mexists_di
          @ ^ [X7: $i] :
              ( mexists_di
              @ ^ [X8: $i] :
                  ( mexists_di
                  @ ^ [X9: $i] :
                      ( mexists_di
                      @ ^ [X10: $i] : ( mand @ ( hollywood @ X7 ) @ ( mand @ ( city @ X7 ) @ ( mand @ ( event @ X8 ) @ ( mand @ ( chevy @ X9 ) @ ( mand @ ( car @ X9 ) @ ( mand @ ( white @ X9 ) @ ( mand @ ( dirty @ X9 ) @ ( mand @ ( old @ X9 ) @ ( mand @ ( street @ X10 ) @ ( mand @ ( way @ X10 ) @ ( mand @ ( lonely @ X10 ) @ ( mand @ ( barrel @ X8 @ X9 ) @ ( mand @ ( down @ X8 @ X10 ) @ ( in @ X8 @ X7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      @ ( mimplies
        @ ( mexists_di
          @ ^ [X11: $i] :
              ( mexists_di
              @ ^ [X12: $i] :
                  ( mexists_di
                  @ ^ [X13: $i] :
                      ( mexists_di
                      @ ^ [X14: $i] : ( mand @ ( hollywood @ X11 ) @ ( mand @ ( city @ X11 ) @ ( mand @ ( event @ X12 ) @ ( mand @ ( chevy @ X13 ) @ ( mand @ ( car @ X13 ) @ ( mand @ ( white @ X13 ) @ ( mand @ ( dirty @ X13 ) @ ( mand @ ( old @ X13 ) @ ( mand @ ( street @ X14 ) @ ( mand @ ( way @ X14 ) @ ( mand @ ( lonely @ X14 ) @ ( mand @ ( barrel @ X12 @ X13 ) @ ( mand @ ( down @ X12 @ X14 ) @ ( in @ X12 @ X11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ ( mexists_di
          @ ^ [X15: $i] :
              ( mexists_di
              @ ^ [X16: $i] :
                  ( mexists_di
                  @ ^ [X17: $i] :
                      ( mexists_di
                      @ ^ [X18: $i] : ( mand @ ( hollywood @ X15 ) @ ( mand @ ( city @ X15 ) @ ( mand @ ( event @ X16 ) @ ( mand @ ( street @ X17 ) @ ( mand @ ( way @ X17 ) @ ( mand @ ( lonely @ X17 ) @ ( mand @ ( chevy @ X18 ) @ ( mand @ ( car @ X18 ) @ ( mand @ ( white @ X18 ) @ ( mand @ ( dirty @ X18 ) @ ( mand @ ( old @ X18 ) @ ( mand @ ( barrel @ X16 @ X18 ) @ ( mand @ ( down @ X16 @ X17 ) @ ( in @ X16 @ X15 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.twi9RYEzwQ/DTF2THF_1393.p',co1) ).

thf(f2175,plain,
    ( spl1_108
    | spl1_92 ),
    inference(avatar_split_clause,[status(thm)],[f108,f1725,f1805]) ).

thf(f108,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( ( city @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f105]) ).

thf(f105,plain,
    ( ( ( ( city @ sK5 @ mactual )
        & ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f104]) ).

thf(f2174,plain,
    ( spl1_131
    | spl1_92 ),
    inference(avatar_split_clause,[status(thm)],[f110,f1725,f1941]) ).

thf(f110,plain,
    ( ( ( event @ sK7 @ mactual )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f107]) ).

thf(f107,plain,
    ( ( $true
      = ( ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f105]) ).

thf(f2173,plain,
    ( spl1_130
    | spl1_92 ),
    inference(avatar_split_clause,[status(thm)],[f112,f1725,f1936]) ).

thf(f112,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( ( chevy @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f109]) ).

thf(f109,plain,
    ( ( ( ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f107]) ).

thf(f2172,plain,
    ( spl1_92
    | spl1_129 ),
    inference(avatar_split_clause,[status(thm)],[f114,f1931,f1725]) ).

thf(f114,plain,
    ( ( ( car @ sK8 @ mactual )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f111]) ).

thf(f111,plain,
    ( ( $true
      = ( ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f109]) ).

thf(f2171,plain,
    ( spl1_128
    | spl1_92 ),
    inference(avatar_split_clause,[status(thm)],[f116,f1725,f1926]) ).

thf(f116,plain,
    ( ( $true
      = ( white @ sK8 @ mactual ) )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f113]) ).

thf(f113,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( ( ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f111]) ).

thf(f2170,plain,
    ( spl1_92
    | spl1_127 ),
    inference(avatar_split_clause,[status(thm)],[f118,f1921,f1725]) ).

thf(f118,plain,
    ( ( ( dirty @ sK8 @ mactual )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f115]) ).

thf(f115,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( ( ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f113]) ).

thf(f2169,plain,
    ( spl1_126
    | spl1_92 ),
    inference(avatar_split_clause,[status(thm)],[f120,f1725,f1916]) ).

thf(f120,plain,
    ( ( ( old @ sK8 @ mactual )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f117]) ).

thf(f117,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( ( ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f115]) ).

thf(f2168,plain,
    ( spl1_136
    | spl1_92 ),
    inference(avatar_split_clause,[status(thm)],[f122,f1725,f1983]) ).

thf(f122,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( ( street @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f119]) ).

thf(f119,plain,
    ( ( ( ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f117]) ).

thf(f2167,plain,
    ( spl1_135
    | spl1_92 ),
    inference(avatar_split_clause,[status(thm)],[f124,f1725,f1978]) ).

thf(f124,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( ( way @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f121]) ).

thf(f121,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( $true
      = ( ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f119]) ).

thf(f2166,plain,
    ( spl1_134
    | spl1_92 ),
    inference(avatar_split_clause,[status(thm)],[f126,f1725,f1973]) ).

thf(f126,plain,
    ( ( ( lonely @ sK9 @ mactual )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f123]) ).

thf(f123,plain,
    ( ( ( ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f121]) ).

thf(f2165,plain,
    ( spl1_122
    | spl1_92 ),
    inference(avatar_split_clause,[status(thm)],[f128,f1725,f1896]) ).

thf(f128,plain,
    ( ( ( barrel @ sK7 @ sK8 @ mactual )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f125]) ).

thf(f125,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( ( ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f123]) ).

thf(f2164,plain,
    ( spl1_133
    | spl1_92 ),
    inference(avatar_split_clause,[status(thm)],[f130,f1725,f1967]) ).

thf(f130,plain,
    ( ( $true
      = ( down @ sK7 @ sK9 @ mactual ) )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f127]) ).

thf(f127,plain,
    ( ( ( ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f125]) ).

thf(f2163,plain,
    ( spl1_120
    | spl1_92 ),
    inference(avatar_split_clause,[status(thm)],[f129,f1725,f1886]) ).

thf(f129,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( $true
      = ( in @ sK7 @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f127]) ).

thf(f2162,plain,
    ( spl1_109
    | spl1_91 ),
    inference(avatar_split_clause,[status(thm)],[f134,f1720,f1810]) ).

thf(f134,plain,
    ( ( $true
      = ( hollywood @ sK5 @ mactual ) )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f132]) ).

thf(f132,plain,
    ( ( ( ( hollywood @ sK5 @ mactual )
        & ( city @ sK5 @ mactual )
        & ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f103]) ).

thf(f103,plain,
    ( ( $true
      = ( ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( ( hollywood @ sK5 @ mactual )
        & ( city @ sK5 @ mactual )
        & ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f102]) ).

thf(f2161,plain,
    ( spl1_108
    | spl1_91 ),
    inference(avatar_split_clause,[status(thm)],[f136,f1720,f1805]) ).

thf(f136,plain,
    ( ( ( city @ sK5 @ mactual )
      = $true )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f133]) ).

thf(f133,plain,
    ( ( ( ( city @ sK5 @ mactual )
        & ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f132]) ).

thf(f2160,plain,
    ( spl1_131
    | spl1_91 ),
    inference(avatar_split_clause,[status(thm)],[f138,f1720,f1941]) ).

thf(f138,plain,
    ( ( ( event @ sK7 @ mactual )
      = $true )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f135]) ).

thf(f135,plain,
    ( ( $true
      = ( ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f133]) ).

thf(f2159,plain,
    ( spl1_91
    | spl1_130 ),
    inference(avatar_split_clause,[status(thm)],[f140,f1936,f1720]) ).

thf(f140,plain,
    ( ( ( chevy @ sK8 @ mactual )
      = $true )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f137]) ).

thf(f137,plain,
    ( ( ( ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f135]) ).

thf(f2158,plain,
    ( spl1_129
    | spl1_91 ),
    inference(avatar_split_clause,[status(thm)],[f142,f1720,f1931]) ).

thf(f142,plain,
    ( ( ( car @ sK8 @ mactual )
      = $true )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f139]) ).

thf(f139,plain,
    ( ( $true
      = ( ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f137]) ).

thf(f2157,plain,
    ( spl1_128
    | spl1_91 ),
    inference(avatar_split_clause,[status(thm)],[f144,f1720,f1926]) ).

thf(f144,plain,
    ( ( $true
      = ( white @ sK8 @ mactual ) )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f141]) ).

thf(f141,plain,
    ( ( ( city @ sK2 @ mactual )
      = $true )
    | ( ( ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f139]) ).

thf(f2156,plain,
    ( spl1_127
    | spl1_91 ),
    inference(avatar_split_clause,[status(thm)],[f146,f1720,f1921]) ).

thf(f146,plain,
    ( ( ( dirty @ sK8 @ mactual )
      = $true )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f143]) ).

thf(f143,plain,
    ( ( ( ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f141]) ).

thf(f2155,plain,
    ( spl1_91
    | spl1_126 ),
    inference(avatar_split_clause,[status(thm)],[f148,f1916,f1720]) ).

thf(f148,plain,
    ( ( ( old @ sK8 @ mactual )
      = $true )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f145]) ).

thf(f145,plain,
    ( ( ( ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f143]) ).

thf(f2154,plain,
    ( spl1_91
    | spl1_136 ),
    inference(avatar_split_clause,[status(thm)],[f150,f1983,f1720]) ).

thf(f150,plain,
    ( ( ( city @ sK2 @ mactual )
      = $true )
    | ( ( street @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f147]) ).

thf(f147,plain,
    ( ( ( city @ sK2 @ mactual )
      = $true )
    | ( ( ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f145]) ).

thf(f2153,plain,
    ( spl1_91
    | spl1_135 ),
    inference(avatar_split_clause,[status(thm)],[f152,f1978,f1720]) ).

thf(f152,plain,
    ( ( ( city @ sK2 @ mactual )
      = $true )
    | ( ( way @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f149]) ).

thf(f149,plain,
    ( ( ( city @ sK2 @ mactual )
      = $true )
    | ( $true
      = ( ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f147]) ).

thf(f2152,plain,
    ( spl1_134
    | spl1_91 ),
    inference(avatar_split_clause,[status(thm)],[f154,f1720,f1973]) ).

thf(f154,plain,
    ( ( ( lonely @ sK9 @ mactual )
      = $true )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f151]) ).

thf(f151,plain,
    ( ( ( city @ sK2 @ mactual )
      = $true )
    | ( ( ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f149]) ).

thf(f2151,plain,
    ( spl1_122
    | spl1_91 ),
    inference(avatar_split_clause,[status(thm)],[f156,f1720,f1896]) ).

thf(f156,plain,
    ( ( ( city @ sK2 @ mactual )
      = $true )
    | ( ( barrel @ sK7 @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f153]) ).

thf(f153,plain,
    ( ( ( city @ sK2 @ mactual )
      = $true )
    | ( ( ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f151]) ).

thf(f2150,plain,
    ( spl1_133
    | spl1_91 ),
    inference(avatar_split_clause,[status(thm)],[f158,f1720,f1967]) ).

thf(f158,plain,
    ( ( ( city @ sK2 @ mactual )
      = $true )
    | ( $true
      = ( down @ sK7 @ sK9 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f155]) ).

thf(f155,plain,
    ( ( ( ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f153]) ).

thf(f2149,plain,
    ( spl1_91
    | spl1_120 ),
    inference(avatar_split_clause,[status(thm)],[f157,f1886,f1720]) ).

thf(f157,plain,
    ( ( $true
      = ( in @ sK7 @ sK5 @ mactual ) )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f155]) ).

thf(f2148,plain,
    ( spl1_109
    | spl1_90 ),
    inference(avatar_split_clause,[status(thm)],[f162,f1715,f1810]) ).

thf(f162,plain,
    ( ( $true
      = ( hollywood @ sK5 @ mactual ) )
    | ( ( event @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f160]) ).

thf(f160,plain,
    ( ( ( ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( $true
      = ( hollywood @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f131]) ).

thf(f131,plain,
    ( ( ( ( hollywood @ sK5 @ mactual )
        & ( city @ sK5 @ mactual )
        & ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f103]) ).

thf(f2147,plain,
    ( spl1_109
    | spl1_89 ),
    inference(avatar_split_clause,[status(thm)],[f164,f1710,f1810]) ).

thf(f164,plain,
    ( ( ( street @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( hollywood @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f161]) ).

thf(f161,plain,
    ( ( $true
      = ( hollywood @ sK5 @ mactual ) )
    | ( ( ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f160]) ).

thf(f2146,plain,
    ( spl1_88
    | spl1_109 ),
    inference(avatar_split_clause,[status(thm)],[f166,f1810,f1705]) ).

thf(f166,plain,
    ( ( $true
      = ( hollywood @ sK5 @ mactual ) )
    | ( ( way @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f163]) ).

thf(f163,plain,
    ( ( $true
      = ( hollywood @ sK5 @ mactual ) )
    | ( ( ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f161]) ).

thf(f2145,plain,
    ( spl1_87
    | spl1_109 ),
    inference(avatar_split_clause,[status(thm)],[f168,f1810,f1700]) ).

thf(f168,plain,
    ( ( ( lonely @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( hollywood @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f165]) ).

thf(f165,plain,
    ( ( $true
      = ( hollywood @ sK5 @ mactual ) )
    | ( ( ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f163]) ).

thf(f2144,plain,
    ( spl1_117
    | spl1_109 ),
    inference(avatar_split_clause,[status(thm)],[f170,f1810,f1851]) ).

thf(f170,plain,
    ( ( $true
      = ( hollywood @ sK5 @ mactual ) )
    | ( ( chevy @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f167]) ).

thf(f167,plain,
    ( ( ( ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( $true
      = ( hollywood @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f165]) ).

thf(f2143,plain,
    ( spl1_109
    | spl1_116 ),
    inference(avatar_split_clause,[status(thm)],[f172,f1846,f1810]) ).

thf(f172,plain,
    ( ( $true
      = ( hollywood @ sK5 @ mactual ) )
    | ( ( car @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f169]) ).

thf(f169,plain,
    ( ( ( ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( $true
      = ( hollywood @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f167]) ).

thf(f2142,plain,
    ( spl1_115
    | spl1_109 ),
    inference(avatar_split_clause,[status(thm)],[f174,f1810,f1841]) ).

thf(f174,plain,
    ( ( $true
      = ( white @ sK6 @ mactual ) )
    | ( $true
      = ( hollywood @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f171]) ).

thf(f171,plain,
    ( ( ( ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( $true
      = ( hollywood @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f169]) ).

thf(f2141,plain,
    ( spl1_109
    | spl1_114 ),
    inference(avatar_split_clause,[status(thm)],[f176,f1836,f1810]) ).

thf(f176,plain,
    ( ( $true
      = ( dirty @ sK6 @ mactual ) )
    | ( $true
      = ( hollywood @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f173]) ).

thf(f173,plain,
    ( ( ( ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( $true
      = ( hollywood @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f171]) ).

thf(f2140,plain,
    ( spl1_109
    | spl1_113 ),
    inference(avatar_split_clause,[status(thm)],[f178,f1831,f1810]) ).

thf(f178,plain,
    ( ( ( old @ sK6 @ mactual )
      = $true )
    | ( $true
      = ( hollywood @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f175]) ).

thf(f175,plain,
    ( ( $true
      = ( hollywood @ sK5 @ mactual ) )
    | ( ( ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f173]) ).

thf(f2139,plain,
    ( spl1_112
    | spl1_109 ),
    inference(avatar_split_clause,[status(thm)],[f180,f1810,f1826]) ).

thf(f180,plain,
    ( ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true )
    | ( $true
      = ( hollywood @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f177]) ).

thf(f177,plain,
    ( ( $true
      = ( hollywood @ sK5 @ mactual ) )
    | ( $true
      = ( ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f175]) ).

thf(f2138,plain,
    ( spl1_109
    | spl1_80 ),
    inference(avatar_split_clause,[status(thm)],[f182,f1665,f1810]) ).

thf(f182,plain,
    ( ( ( down @ sK3 @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( hollywood @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f179]) ).

thf(f179,plain,
    ( ( $true
      = ( hollywood @ sK5 @ mactual ) )
    | ( $true
      = ( ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f177]) ).

thf(f2137,plain,
    ( spl1_109
    | spl1_79 ),
    inference(avatar_split_clause,[status(thm)],[f181,f1660,f1810]) ).

thf(f181,plain,
    ( ( $true
      = ( in @ sK3 @ sK2 @ mactual ) )
    | ( $true
      = ( hollywood @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f179]) ).

thf(f2136,plain,
    ( spl1_90
    | spl1_108 ),
    inference(avatar_split_clause,[status(thm)],[f186,f1805,f1715]) ).

thf(f186,plain,
    ( ( ( event @ sK3 @ mactual )
      = $true )
    | ( ( city @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f184]) ).

thf(f184,plain,
    ( ( ( ( city @ sK5 @ mactual )
        & ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( event @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f159]) ).

thf(f159,plain,
    ( ( ( ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( ( city @ sK5 @ mactual )
        & ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f131]) ).

thf(f2135,plain,
    ( spl1_131
    | spl1_90 ),
    inference(avatar_split_clause,[status(thm)],[f188,f1715,f1941]) ).

thf(f188,plain,
    ( ( ( event @ sK7 @ mactual )
      = $true )
    | ( ( event @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f185]) ).

thf(f185,plain,
    ( ( ( event @ sK3 @ mactual )
      = $true )
    | ( $true
      = ( ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f184]) ).

thf(f2134,plain,
    ( spl1_90
    | spl1_130 ),
    inference(avatar_split_clause,[status(thm)],[f190,f1936,f1715]) ).

thf(f190,plain,
    ( ( ( chevy @ sK8 @ mactual )
      = $true )
    | ( ( event @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f187]) ).

thf(f187,plain,
    ( ( ( ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( event @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f185]) ).

thf(f2133,plain,
    ( spl1_129
    | spl1_90 ),
    inference(avatar_split_clause,[status(thm)],[f192,f1715,f1931]) ).

thf(f192,plain,
    ( ( ( event @ sK3 @ mactual )
      = $true )
    | ( ( car @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f189]) ).

thf(f189,plain,
    ( ( $true
      = ( ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) )
    | ( ( event @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f187]) ).

thf(f2132,plain,
    ( spl1_90
    | spl1_128 ),
    inference(avatar_split_clause,[status(thm)],[f194,f1926,f1715]) ).

thf(f194,plain,
    ( ( ( event @ sK3 @ mactual )
      = $true )
    | ( $true
      = ( white @ sK8 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f191]) ).

thf(f191,plain,
    ( ( ( event @ sK3 @ mactual )
      = $true )
    | ( ( ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f189]) ).

thf(f2131,plain,
    ( spl1_127
    | spl1_90 ),
    inference(avatar_split_clause,[status(thm)],[f196,f1715,f1921]) ).

thf(f196,plain,
    ( ( ( dirty @ sK8 @ mactual )
      = $true )
    | ( ( event @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f193]) ).

thf(f193,plain,
    ( ( ( event @ sK3 @ mactual )
      = $true )
    | ( ( ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f191]) ).

thf(f2130,plain,
    ( spl1_90
    | spl1_126 ),
    inference(avatar_split_clause,[status(thm)],[f198,f1916,f1715]) ).

thf(f198,plain,
    ( ( ( event @ sK3 @ mactual )
      = $true )
    | ( ( old @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f195]) ).

thf(f195,plain,
    ( ( ( event @ sK3 @ mactual )
      = $true )
    | ( ( ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f193]) ).

thf(f2129,plain,
    ( spl1_136
    | spl1_90 ),
    inference(avatar_split_clause,[status(thm)],[f200,f1715,f1983]) ).

thf(f200,plain,
    ( ( ( street @ sK9 @ mactual )
      = $true )
    | ( ( event @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f197]) ).

thf(f197,plain,
    ( ( ( event @ sK3 @ mactual )
      = $true )
    | ( ( ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f195]) ).

thf(f2128,plain,
    ( spl1_90
    | spl1_135 ),
    inference(avatar_split_clause,[status(thm)],[f202,f1978,f1715]) ).

thf(f202,plain,
    ( ( ( event @ sK3 @ mactual )
      = $true )
    | ( ( way @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f199]) ).

thf(f199,plain,
    ( ( $true
      = ( ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) )
    | ( ( event @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f197]) ).

thf(f2127,plain,
    ( spl1_134
    | spl1_90 ),
    inference(avatar_split_clause,[status(thm)],[f204,f1715,f1973]) ).

thf(f204,plain,
    ( ( ( lonely @ sK9 @ mactual )
      = $true )
    | ( ( event @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f201]) ).

thf(f201,plain,
    ( ( ( event @ sK3 @ mactual )
      = $true )
    | ( ( ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f199]) ).

thf(f2126,plain,
    ( spl1_122
    | spl1_90 ),
    inference(avatar_split_clause,[status(thm)],[f206,f1715,f1896]) ).

thf(f206,plain,
    ( ( ( barrel @ sK7 @ sK8 @ mactual )
      = $true )
    | ( ( event @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f203]) ).

thf(f203,plain,
    ( ( ( ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( event @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f201]) ).

thf(f2125,plain,
    ( spl1_90
    | spl1_133 ),
    inference(avatar_split_clause,[status(thm)],[f208,f1967,f1715]) ).

thf(f208,plain,
    ( ( ( event @ sK3 @ mactual )
      = $true )
    | ( $true
      = ( down @ sK7 @ sK9 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f205]) ).

thf(f205,plain,
    ( ( ( event @ sK3 @ mactual )
      = $true )
    | ( ( ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f203]) ).

thf(f2124,plain,
    ( spl1_90
    | spl1_120 ),
    inference(avatar_split_clause,[status(thm)],[f207,f1886,f1715]) ).

thf(f207,plain,
    ( ( $true
      = ( in @ sK7 @ sK5 @ mactual ) )
    | ( ( event @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f205]) ).

thf(f2123,plain,
    ( spl1_89
    | spl1_108 ),
    inference(avatar_split_clause,[status(thm)],[f212,f1805,f1710]) ).

thf(f212,plain,
    ( ( ( street @ sK4 @ mactual )
      = $true )
    | ( ( city @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f210]) ).

thf(f210,plain,
    ( ( ( city @ sK5 @ mactual )
      = $true )
    | ( ( ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f183]) ).

thf(f183,plain,
    ( ( ( ( city @ sK5 @ mactual )
        & ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f159]) ).

thf(f2122,plain,
    ( spl1_108
    | spl1_88 ),
    inference(avatar_split_clause,[status(thm)],[f214,f1705,f1805]) ).

thf(f214,plain,
    ( ( ( city @ sK5 @ mactual )
      = $true )
    | ( ( way @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f211]) ).

thf(f211,plain,
    ( ( ( ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( city @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f210]) ).

thf(f2121,plain,
    ( spl1_108
    | spl1_87 ),
    inference(avatar_split_clause,[status(thm)],[f216,f1700,f1805]) ).

thf(f216,plain,
    ( ( ( lonely @ sK4 @ mactual )
      = $true )
    | ( ( city @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f213]) ).

thf(f213,plain,
    ( ( ( ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( city @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f211]) ).

thf(f2120,plain,
    ( spl1_108
    | spl1_117 ),
    inference(avatar_split_clause,[status(thm)],[f218,f1851,f1805]) ).

thf(f218,plain,
    ( ( ( chevy @ sK6 @ mactual )
      = $true )
    | ( ( city @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f215]) ).

thf(f215,plain,
    ( ( ( city @ sK5 @ mactual )
      = $true )
    | ( ( ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f213]) ).

thf(f2119,plain,
    ( spl1_116
    | spl1_108 ),
    inference(avatar_split_clause,[status(thm)],[f220,f1805,f1846]) ).

thf(f220,plain,
    ( ( ( car @ sK6 @ mactual )
      = $true )
    | ( ( city @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f217]) ).

thf(f217,plain,
    ( ( ( city @ sK5 @ mactual )
      = $true )
    | ( ( ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f215]) ).

thf(f2118,plain,
    ( spl1_108
    | spl1_115 ),
    inference(avatar_split_clause,[status(thm)],[f222,f1841,f1805]) ).

thf(f222,plain,
    ( ( $true
      = ( white @ sK6 @ mactual ) )
    | ( ( city @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f219]) ).

thf(f219,plain,
    ( ( ( ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( city @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f217]) ).

thf(f2117,plain,
    ( spl1_114
    | spl1_108 ),
    inference(avatar_split_clause,[status(thm)],[f224,f1805,f1836]) ).

thf(f224,plain,
    ( ( ( city @ sK5 @ mactual )
      = $true )
    | ( $true
      = ( dirty @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f221]) ).

thf(f221,plain,
    ( ( ( city @ sK5 @ mactual )
      = $true )
    | ( ( ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f219]) ).

thf(f2116,plain,
    ( spl1_113
    | spl1_108 ),
    inference(avatar_split_clause,[status(thm)],[f226,f1805,f1831]) ).

thf(f226,plain,
    ( ( ( old @ sK6 @ mactual )
      = $true )
    | ( ( city @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f223]) ).

thf(f223,plain,
    ( ( ( ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( city @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f221]) ).

thf(f2115,plain,
    ( spl1_108
    | spl1_112 ),
    inference(avatar_split_clause,[status(thm)],[f228,f1826,f1805]) ).

thf(f228,plain,
    ( ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true )
    | ( ( city @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f225]) ).

thf(f225,plain,
    ( ( ( city @ sK5 @ mactual )
      = $true )
    | ( $true
      = ( ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f223]) ).

thf(f2114,plain,
    ( spl1_108
    | spl1_80 ),
    inference(avatar_split_clause,[status(thm)],[f230,f1665,f1805]) ).

thf(f230,plain,
    ( ( ( down @ sK3 @ sK4 @ mactual )
      = $true )
    | ( ( city @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f227]) ).

thf(f227,plain,
    ( ( ( city @ sK5 @ mactual )
      = $true )
    | ( $true
      = ( ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f225]) ).

thf(f2113,plain,
    ( spl1_108
    | spl1_79 ),
    inference(avatar_split_clause,[status(thm)],[f229,f1660,f1805]) ).

thf(f229,plain,
    ( ( ( city @ sK5 @ mactual )
      = $true )
    | ( $true
      = ( in @ sK3 @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f227]) ).

thf(f2112,plain,
    ( spl1_89
    | spl1_131 ),
    inference(avatar_split_clause,[status(thm)],[f234,f1941,f1710]) ).

thf(f234,plain,
    ( ( ( street @ sK4 @ mactual )
      = $true )
    | ( ( event @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f232]) ).

thf(f232,plain,
    ( ( $true
      = ( ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) )
    | ( ( street @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f209]) ).

thf(f209,plain,
    ( ( ( ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( $true
      = ( ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f183]) ).

thf(f2111,plain,
    ( spl1_130
    | spl1_89 ),
    inference(avatar_split_clause,[status(thm)],[f236,f1710,f1936]) ).

thf(f236,plain,
    ( ( ( chevy @ sK8 @ mactual )
      = $true )
    | ( ( street @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f233]) ).

thf(f233,plain,
    ( ( ( street @ sK4 @ mactual )
      = $true )
    | ( ( ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f232]) ).

thf(f2110,plain,
    ( spl1_89
    | spl1_129 ),
    inference(avatar_split_clause,[status(thm)],[f238,f1931,f1710]) ).

thf(f238,plain,
    ( ( ( street @ sK4 @ mactual )
      = $true )
    | ( ( car @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f235]) ).

thf(f235,plain,
    ( ( ( street @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f233]) ).

thf(f2109,plain,
    ( spl1_128
    | spl1_89 ),
    inference(avatar_split_clause,[status(thm)],[f240,f1710,f1926]) ).

thf(f240,plain,
    ( ( ( street @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( white @ sK8 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f237]) ).

thf(f237,plain,
    ( ( ( ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( street @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f235]) ).

thf(f2108,plain,
    ( spl1_89
    | spl1_127 ),
    inference(avatar_split_clause,[status(thm)],[f242,f1921,f1710]) ).

thf(f242,plain,
    ( ( ( dirty @ sK8 @ mactual )
      = $true )
    | ( ( street @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f239]) ).

thf(f239,plain,
    ( ( ( street @ sK4 @ mactual )
      = $true )
    | ( ( ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f237]) ).

thf(f2107,plain,
    ( spl1_89
    | spl1_126 ),
    inference(avatar_split_clause,[status(thm)],[f244,f1916,f1710]) ).

thf(f244,plain,
    ( ( ( old @ sK8 @ mactual )
      = $true )
    | ( ( street @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f241]) ).

thf(f241,plain,
    ( ( ( ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( street @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f239]) ).

thf(f2106,plain,
    ( spl1_89
    | spl1_136 ),
    inference(avatar_split_clause,[status(thm)],[f246,f1983,f1710]) ).

thf(f246,plain,
    ( ( ( street @ sK9 @ mactual )
      = $true )
    | ( ( street @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f243]) ).

thf(f243,plain,
    ( ( ( street @ sK4 @ mactual )
      = $true )
    | ( ( ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f241]) ).

thf(f2105,plain,
    ( spl1_89
    | spl1_135 ),
    inference(avatar_split_clause,[status(thm)],[f248,f1978,f1710]) ).

thf(f248,plain,
    ( ( ( way @ sK9 @ mactual )
      = $true )
    | ( ( street @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f245]) ).

thf(f245,plain,
    ( ( ( street @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f243]) ).

thf(f2104,plain,
    ( spl1_134
    | spl1_89 ),
    inference(avatar_split_clause,[status(thm)],[f250,f1710,f1973]) ).

thf(f250,plain,
    ( ( ( lonely @ sK9 @ mactual )
      = $true )
    | ( ( street @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f247]) ).

thf(f247,plain,
    ( ( ( street @ sK4 @ mactual )
      = $true )
    | ( ( ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f245]) ).

thf(f2103,plain,
    ( spl1_89
    | spl1_122 ),
    inference(avatar_split_clause,[status(thm)],[f252,f1896,f1710]) ).

thf(f252,plain,
    ( ( ( barrel @ sK7 @ sK8 @ mactual )
      = $true )
    | ( ( street @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f249]) ).

thf(f249,plain,
    ( ( ( street @ sK4 @ mactual )
      = $true )
    | ( ( ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f247]) ).

thf(f2102,plain,
    ( spl1_133
    | spl1_89 ),
    inference(avatar_split_clause,[status(thm)],[f254,f1710,f1967]) ).

thf(f254,plain,
    ( ( $true
      = ( down @ sK7 @ sK9 @ mactual ) )
    | ( ( street @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f251]) ).

thf(f251,plain,
    ( ( ( street @ sK4 @ mactual )
      = $true )
    | ( ( ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f249]) ).

thf(f2101,plain,
    ( spl1_120
    | spl1_89 ),
    inference(avatar_split_clause,[status(thm)],[f253,f1710,f1886]) ).

thf(f253,plain,
    ( ( $true
      = ( in @ sK7 @ sK5 @ mactual ) )
    | ( ( street @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f251]) ).

thf(f2100,plain,
    ( spl1_88
    | spl1_131 ),
    inference(avatar_split_clause,[status(thm)],[f258,f1941,f1705]) ).

thf(f258,plain,
    ( ( ( event @ sK7 @ mactual )
      = $true )
    | ( ( way @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f256]) ).

thf(f256,plain,
    ( ( $true
      = ( ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) )
    | ( ( way @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f231]) ).

thf(f231,plain,
    ( ( ( ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( $true
      = ( ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f209]) ).

thf(f2099,plain,
    ( spl1_88
    | spl1_130 ),
    inference(avatar_split_clause,[status(thm)],[f260,f1936,f1705]) ).

thf(f260,plain,
    ( ( ( chevy @ sK8 @ mactual )
      = $true )
    | ( ( way @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f257]) ).

thf(f257,plain,
    ( ( ( ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( way @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f256]) ).

thf(f2098,plain,
    ( spl1_88
    | spl1_129 ),
    inference(avatar_split_clause,[status(thm)],[f262,f1931,f1705]) ).

thf(f262,plain,
    ( ( ( way @ sK4 @ mactual )
      = $true )
    | ( ( car @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f259]) ).

thf(f259,plain,
    ( ( $true
      = ( ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) )
    | ( ( way @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f257]) ).

thf(f2097,plain,
    ( spl1_128
    | spl1_88 ),
    inference(avatar_split_clause,[status(thm)],[f264,f1705,f1926]) ).

thf(f264,plain,
    ( ( ( way @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( white @ sK8 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f261]) ).

thf(f261,plain,
    ( ( ( ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( way @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f259]) ).

thf(f2096,plain,
    ( spl1_88
    | spl1_127 ),
    inference(avatar_split_clause,[status(thm)],[f266,f1921,f1705]) ).

thf(f266,plain,
    ( ( ( dirty @ sK8 @ mactual )
      = $true )
    | ( ( way @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f263]) ).

thf(f263,plain,
    ( ( ( ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( way @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f261]) ).

thf(f2095,plain,
    ( spl1_126
    | spl1_88 ),
    inference(avatar_split_clause,[status(thm)],[f268,f1705,f1916]) ).

thf(f268,plain,
    ( ( ( way @ sK4 @ mactual )
      = $true )
    | ( ( old @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f265]) ).

thf(f265,plain,
    ( ( ( way @ sK4 @ mactual )
      = $true )
    | ( ( ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f263]) ).

thf(f2094,plain,
    ( spl1_136
    | spl1_88 ),
    inference(avatar_split_clause,[status(thm)],[f270,f1705,f1983]) ).

thf(f270,plain,
    ( ( ( street @ sK9 @ mactual )
      = $true )
    | ( ( way @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f267]) ).

thf(f267,plain,
    ( ( ( way @ sK4 @ mactual )
      = $true )
    | ( ( ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f265]) ).

thf(f2093,plain,
    ( spl1_135
    | spl1_88 ),
    inference(avatar_split_clause,[status(thm)],[f272,f1705,f1978]) ).

thf(f272,plain,
    ( ( ( way @ sK4 @ mactual )
      = $true )
    | ( ( way @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f269]) ).

thf(f269,plain,
    ( ( ( way @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f267]) ).

thf(f2092,plain,
    ( spl1_88
    | spl1_134 ),
    inference(avatar_split_clause,[status(thm)],[f274,f1973,f1705]) ).

thf(f274,plain,
    ( ( ( lonely @ sK9 @ mactual )
      = $true )
    | ( ( way @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f271]) ).

thf(f271,plain,
    ( ( ( way @ sK4 @ mactual )
      = $true )
    | ( ( ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f269]) ).

thf(f2091,plain,
    ( spl1_88
    | spl1_122 ),
    inference(avatar_split_clause,[status(thm)],[f276,f1896,f1705]) ).

thf(f276,plain,
    ( ( ( barrel @ sK7 @ sK8 @ mactual )
      = $true )
    | ( ( way @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f273]) ).

thf(f273,plain,
    ( ( ( ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( way @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f271]) ).

thf(f2090,plain,
    ( spl1_133
    | spl1_88 ),
    inference(avatar_split_clause,[status(thm)],[f278,f1705,f1967]) ).

thf(f278,plain,
    ( ( $true
      = ( down @ sK7 @ sK9 @ mactual ) )
    | ( ( way @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f275]) ).

thf(f275,plain,
    ( ( ( way @ sK4 @ mactual )
      = $true )
    | ( ( ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f273]) ).

thf(f2089,plain,
    ( spl1_120
    | spl1_88 ),
    inference(avatar_split_clause,[status(thm)],[f277,f1705,f1886]) ).

thf(f277,plain,
    ( ( $true
      = ( in @ sK7 @ sK5 @ mactual ) )
    | ( ( way @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f275]) ).

thf(f2088,plain,
    ( spl1_87
    | spl1_131 ),
    inference(avatar_split_clause,[status(thm)],[f282,f1941,f1700]) ).

thf(f282,plain,
    ( ( ( lonely @ sK4 @ mactual )
      = $true )
    | ( ( event @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f280]) ).

thf(f280,plain,
    ( ( ( lonely @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f255]) ).

thf(f255,plain,
    ( ( ( ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( $true
      = ( ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f231]) ).

thf(f2087,plain,
    ( spl1_130
    | spl1_87 ),
    inference(avatar_split_clause,[status(thm)],[f284,f1700,f1936]) ).

thf(f284,plain,
    ( ( ( chevy @ sK8 @ mactual )
      = $true )
    | ( ( lonely @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f281]) ).

thf(f281,plain,
    ( ( ( ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( lonely @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f280]) ).

thf(f2086,plain,
    ( spl1_129
    | spl1_87 ),
    inference(avatar_split_clause,[status(thm)],[f286,f1700,f1931]) ).

thf(f286,plain,
    ( ( ( car @ sK8 @ mactual )
      = $true )
    | ( ( lonely @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f283]) ).

thf(f283,plain,
    ( ( ( lonely @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f281]) ).

thf(f2085,plain,
    ( spl1_87
    | spl1_128 ),
    inference(avatar_split_clause,[status(thm)],[f288,f1926,f1700]) ).

thf(f288,plain,
    ( ( $true
      = ( white @ sK8 @ mactual ) )
    | ( ( lonely @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f285]) ).

thf(f285,plain,
    ( ( ( ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( lonely @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f283]) ).

thf(f2084,plain,
    ( spl1_87
    | spl1_127 ),
    inference(avatar_split_clause,[status(thm)],[f290,f1921,f1700]) ).

thf(f290,plain,
    ( ( ( lonely @ sK4 @ mactual )
      = $true )
    | ( ( dirty @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f287]) ).

thf(f287,plain,
    ( ( ( lonely @ sK4 @ mactual )
      = $true )
    | ( ( ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f285]) ).

thf(f2083,plain,
    ( spl1_87
    | spl1_126 ),
    inference(avatar_split_clause,[status(thm)],[f292,f1916,f1700]) ).

thf(f292,plain,
    ( ( ( old @ sK8 @ mactual )
      = $true )
    | ( ( lonely @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f289]) ).

thf(f289,plain,
    ( ( ( lonely @ sK4 @ mactual )
      = $true )
    | ( ( ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f287]) ).

thf(f2082,plain,
    ( spl1_136
    | spl1_87 ),
    inference(avatar_split_clause,[status(thm)],[f294,f1700,f1983]) ).

thf(f294,plain,
    ( ( ( street @ sK9 @ mactual )
      = $true )
    | ( ( lonely @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f291]) ).

thf(f291,plain,
    ( ( ( ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( lonely @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f289]) ).

thf(f2081,plain,
    ( spl1_135
    | spl1_87 ),
    inference(avatar_split_clause,[status(thm)],[f296,f1700,f1978]) ).

thf(f296,plain,
    ( ( ( way @ sK9 @ mactual )
      = $true )
    | ( ( lonely @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f293]) ).

thf(f293,plain,
    ( ( $true
      = ( ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) )
    | ( ( lonely @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f291]) ).

thf(f2080,plain,
    ( spl1_134
    | spl1_87 ),
    inference(avatar_split_clause,[status(thm)],[f298,f1700,f1973]) ).

thf(f298,plain,
    ( ( ( lonely @ sK4 @ mactual )
      = $true )
    | ( ( lonely @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f295]) ).

thf(f295,plain,
    ( ( ( lonely @ sK4 @ mactual )
      = $true )
    | ( ( ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f293]) ).

thf(f2079,plain,
    ( spl1_122
    | spl1_87 ),
    inference(avatar_split_clause,[status(thm)],[f300,f1700,f1896]) ).

thf(f300,plain,
    ( ( ( barrel @ sK7 @ sK8 @ mactual )
      = $true )
    | ( ( lonely @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f297]) ).

thf(f297,plain,
    ( ( ( ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( lonely @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f295]) ).

thf(f2078,plain,
    ( spl1_87
    | spl1_133 ),
    inference(avatar_split_clause,[status(thm)],[f302,f1967,f1700]) ).

thf(f302,plain,
    ( ( ( lonely @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( down @ sK7 @ sK9 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f299]) ).

thf(f299,plain,
    ( ( ( lonely @ sK4 @ mactual )
      = $true )
    | ( ( ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f297]) ).

thf(f2077,plain,
    ( spl1_87
    | spl1_120 ),
    inference(avatar_split_clause,[status(thm)],[f301,f1886,f1700]) ).

thf(f301,plain,
    ( ( ( lonely @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( in @ sK7 @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f299]) ).

thf(f2076,plain,
    ( spl1_117
    | spl1_131 ),
    inference(avatar_split_clause,[status(thm)],[f306,f1941,f1851]) ).

thf(f306,plain,
    ( ( ( event @ sK7 @ mactual )
      = $true )
    | ( ( chevy @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f304]) ).

thf(f304,plain,
    ( ( ( ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( event @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f279]) ).

thf(f279,plain,
    ( ( $true
      = ( ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) )
    | ( ( ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f255]) ).

thf(f2075,plain,
    ( spl1_131
    | spl1_116 ),
    inference(avatar_split_clause,[status(thm)],[f308,f1846,f1941]) ).

thf(f308,plain,
    ( ( ( event @ sK7 @ mactual )
      = $true )
    | ( ( car @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f305]) ).

thf(f305,plain,
    ( ( ( event @ sK7 @ mactual )
      = $true )
    | ( ( ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f304]) ).

thf(f2074,plain,
    ( spl1_115
    | spl1_131 ),
    inference(avatar_split_clause,[status(thm)],[f310,f1941,f1841]) ).

thf(f310,plain,
    ( ( ( event @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( white @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f307]) ).

thf(f307,plain,
    ( ( ( event @ sK7 @ mactual )
      = $true )
    | ( ( ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f305]) ).

thf(f2073,plain,
    ( spl1_131
    | spl1_114 ),
    inference(avatar_split_clause,[status(thm)],[f312,f1836,f1941]) ).

thf(f312,plain,
    ( ( $true
      = ( dirty @ sK6 @ mactual ) )
    | ( ( event @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f309]) ).

thf(f309,plain,
    ( ( ( event @ sK7 @ mactual )
      = $true )
    | ( ( ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f307]) ).

thf(f2072,plain,
    ( spl1_131
    | spl1_113 ),
    inference(avatar_split_clause,[status(thm)],[f314,f1831,f1941]) ).

thf(f314,plain,
    ( ( ( old @ sK6 @ mactual )
      = $true )
    | ( ( event @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f311]) ).

thf(f311,plain,
    ( ( ( ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( event @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f309]) ).

thf(f2071,plain,
    ( spl1_112
    | spl1_131 ),
    inference(avatar_split_clause,[status(thm)],[f316,f1941,f1826]) ).

thf(f316,plain,
    ( ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true )
    | ( ( event @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f313]) ).

thf(f313,plain,
    ( ( $true
      = ( ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( event @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f311]) ).

thf(f2070,plain,
    ( spl1_80
    | spl1_131 ),
    inference(avatar_split_clause,[status(thm)],[f318,f1941,f1665]) ).

thf(f318,plain,
    ( ( ( event @ sK7 @ mactual )
      = $true )
    | ( ( down @ sK3 @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f315]) ).

thf(f315,plain,
    ( ( $true
      = ( ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( event @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f313]) ).

thf(f2069,plain,
    ( spl1_79
    | spl1_131 ),
    inference(avatar_split_clause,[status(thm)],[f317,f1941,f1660]) ).

thf(f317,plain,
    ( ( $true
      = ( in @ sK3 @ sK2 @ mactual ) )
    | ( ( event @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f315]) ).

thf(f2068,plain,
    ( spl1_130
    | spl1_117 ),
    inference(avatar_split_clause,[status(thm)],[f322,f1851,f1936]) ).

thf(f322,plain,
    ( ( ( chevy @ sK6 @ mactual )
      = $true )
    | ( ( chevy @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f320]) ).

thf(f320,plain,
    ( ( ( ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( chevy @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f303]) ).

thf(f303,plain,
    ( ( ( ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f279]) ).

thf(f2067,plain,
    ( spl1_117
    | spl1_129 ),
    inference(avatar_split_clause,[status(thm)],[f324,f1931,f1851]) ).

thf(f324,plain,
    ( ( ( car @ sK8 @ mactual )
      = $true )
    | ( ( chevy @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f321]) ).

thf(f321,plain,
    ( ( $true
      = ( ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) )
    | ( ( chevy @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f320]) ).

thf(f2066,plain,
    ( spl1_117
    | spl1_128 ),
    inference(avatar_split_clause,[status(thm)],[f326,f1926,f1851]) ).

thf(f326,plain,
    ( ( ( chevy @ sK6 @ mactual )
      = $true )
    | ( $true
      = ( white @ sK8 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f323]) ).

thf(f323,plain,
    ( ( ( ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( chevy @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f321]) ).

thf(f2065,plain,
    ( spl1_127
    | spl1_117 ),
    inference(avatar_split_clause,[status(thm)],[f328,f1851,f1921]) ).

thf(f328,plain,
    ( ( ( chevy @ sK6 @ mactual )
      = $true )
    | ( ( dirty @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f325]) ).

thf(f325,plain,
    ( ( ( chevy @ sK6 @ mactual )
      = $true )
    | ( ( ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f323]) ).

thf(f2064,plain,
    ( spl1_126
    | spl1_117 ),
    inference(avatar_split_clause,[status(thm)],[f330,f1851,f1916]) ).

thf(f330,plain,
    ( ( ( old @ sK8 @ mactual )
      = $true )
    | ( ( chevy @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f327]) ).

thf(f327,plain,
    ( ( ( ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( chevy @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f325]) ).

thf(f2063,plain,
    ( spl1_136
    | spl1_117 ),
    inference(avatar_split_clause,[status(thm)],[f332,f1851,f1983]) ).

thf(f332,plain,
    ( ( ( chevy @ sK6 @ mactual )
      = $true )
    | ( ( street @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f329]) ).

thf(f329,plain,
    ( ( ( ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( chevy @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f327]) ).

thf(f2062,plain,
    ( spl1_117
    | spl1_135 ),
    inference(avatar_split_clause,[status(thm)],[f334,f1978,f1851]) ).

thf(f334,plain,
    ( ( ( chevy @ sK6 @ mactual )
      = $true )
    | ( ( way @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f331]) ).

thf(f331,plain,
    ( ( $true
      = ( ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) )
    | ( ( chevy @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f329]) ).

thf(f2061,plain,
    ( spl1_134
    | spl1_117 ),
    inference(avatar_split_clause,[status(thm)],[f336,f1851,f1973]) ).

thf(f336,plain,
    ( ( ( lonely @ sK9 @ mactual )
      = $true )
    | ( ( chevy @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f333]) ).

thf(f333,plain,
    ( ( ( chevy @ sK6 @ mactual )
      = $true )
    | ( ( ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f331]) ).

thf(f2060,plain,
    ( spl1_122
    | spl1_117 ),
    inference(avatar_split_clause,[status(thm)],[f338,f1851,f1896]) ).

thf(f338,plain,
    ( ( ( barrel @ sK7 @ sK8 @ mactual )
      = $true )
    | ( ( chevy @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f335]) ).

thf(f335,plain,
    ( ( ( ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( chevy @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f333]) ).

thf(f2059,plain,
    ( spl1_133
    | spl1_117 ),
    inference(avatar_split_clause,[status(thm)],[f340,f1851,f1967]) ).

thf(f340,plain,
    ( ( ( chevy @ sK6 @ mactual )
      = $true )
    | ( $true
      = ( down @ sK7 @ sK9 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f337]) ).

thf(f337,plain,
    ( ( ( ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( chevy @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f335]) ).

thf(f2058,plain,
    ( spl1_120
    | spl1_117 ),
    inference(avatar_split_clause,[status(thm)],[f339,f1851,f1886]) ).

thf(f339,plain,
    ( ( $true
      = ( in @ sK7 @ sK5 @ mactual ) )
    | ( ( chevy @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f337]) ).

thf(f2057,plain,
    ( spl1_130
    | spl1_116 ),
    inference(avatar_split_clause,[status(thm)],[f344,f1846,f1936]) ).

thf(f344,plain,
    ( ( ( chevy @ sK8 @ mactual )
      = $true )
    | ( ( car @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f342]) ).

thf(f342,plain,
    ( ( ( car @ sK6 @ mactual )
      = $true )
    | ( ( ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f319]) ).

thf(f319,plain,
    ( ( ( ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f303]) ).

thf(f2056,plain,
    ( spl1_129
    | spl1_116 ),
    inference(avatar_split_clause,[status(thm)],[f346,f1846,f1931]) ).

thf(f346,plain,
    ( ( ( car @ sK6 @ mactual )
      = $true )
    | ( ( car @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f343]) ).

thf(f343,plain,
    ( ( ( car @ sK6 @ mactual )
      = $true )
    | ( $true
      = ( ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f342]) ).

thf(f2055,plain,
    ( spl1_128
    | spl1_116 ),
    inference(avatar_split_clause,[status(thm)],[f348,f1846,f1926]) ).

thf(f348,plain,
    ( ( $true
      = ( white @ sK8 @ mactual ) )
    | ( ( car @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f345]) ).

thf(f345,plain,
    ( ( ( ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( car @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f343]) ).

thf(f2054,plain,
    ( spl1_127
    | spl1_116 ),
    inference(avatar_split_clause,[status(thm)],[f350,f1846,f1921]) ).

thf(f350,plain,
    ( ( ( car @ sK6 @ mactual )
      = $true )
    | ( ( dirty @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f347]) ).

thf(f347,plain,
    ( ( ( car @ sK6 @ mactual )
      = $true )
    | ( ( ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f345]) ).

thf(f2053,plain,
    ( spl1_126
    | spl1_116 ),
    inference(avatar_split_clause,[status(thm)],[f352,f1846,f1916]) ).

thf(f352,plain,
    ( ( ( car @ sK6 @ mactual )
      = $true )
    | ( ( old @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f349]) ).

thf(f349,plain,
    ( ( ( ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( car @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f347]) ).

thf(f2052,plain,
    ( spl1_136
    | spl1_116 ),
    inference(avatar_split_clause,[status(thm)],[f354,f1846,f1983]) ).

thf(f354,plain,
    ( ( ( street @ sK9 @ mactual )
      = $true )
    | ( ( car @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f351]) ).

thf(f351,plain,
    ( ( ( ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( car @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f349]) ).

thf(f2051,plain,
    ( spl1_116
    | spl1_135 ),
    inference(avatar_split_clause,[status(thm)],[f356,f1978,f1846]) ).

thf(f356,plain,
    ( ( ( way @ sK9 @ mactual )
      = $true )
    | ( ( car @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f353]) ).

thf(f353,plain,
    ( ( ( car @ sK6 @ mactual )
      = $true )
    | ( $true
      = ( ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f351]) ).

thf(f2050,plain,
    ( spl1_116
    | spl1_134 ),
    inference(avatar_split_clause,[status(thm)],[f358,f1973,f1846]) ).

thf(f358,plain,
    ( ( ( lonely @ sK9 @ mactual )
      = $true )
    | ( ( car @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f355]) ).

thf(f355,plain,
    ( ( ( car @ sK6 @ mactual )
      = $true )
    | ( ( ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f353]) ).

thf(f2049,plain,
    ( spl1_116
    | spl1_122 ),
    inference(avatar_split_clause,[status(thm)],[f360,f1896,f1846]) ).

thf(f360,plain,
    ( ( ( car @ sK6 @ mactual )
      = $true )
    | ( ( barrel @ sK7 @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f357]) ).

thf(f357,plain,
    ( ( ( ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( car @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f355]) ).

thf(f2048,plain,
    ( spl1_133
    | spl1_116 ),
    inference(avatar_split_clause,[status(thm)],[f362,f1846,f1967]) ).

thf(f362,plain,
    ( ( $true
      = ( down @ sK7 @ sK9 @ mactual ) )
    | ( ( car @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f359]) ).

thf(f359,plain,
    ( ( ( car @ sK6 @ mactual )
      = $true )
    | ( ( ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f357]) ).

thf(f2047,plain,
    ( spl1_120
    | spl1_116 ),
    inference(avatar_split_clause,[status(thm)],[f361,f1846,f1886]) ).

thf(f361,plain,
    ( ( ( car @ sK6 @ mactual )
      = $true )
    | ( $true
      = ( in @ sK7 @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f359]) ).

thf(f2046,plain,
    ( spl1_115
    | spl1_130 ),
    inference(avatar_split_clause,[status(thm)],[f366,f1936,f1841]) ).

thf(f366,plain,
    ( ( ( chevy @ sK8 @ mactual )
      = $true )
    | ( $true
      = ( white @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f364]) ).

thf(f364,plain,
    ( ( ( chevy @ sK8 @ mactual )
      = $true )
    | ( ( ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f341]) ).

thf(f341,plain,
    ( ( ( ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f319]) ).

thf(f2045,plain,
    ( spl1_130
    | spl1_114 ),
    inference(avatar_split_clause,[status(thm)],[f368,f1836,f1936]) ).

thf(f368,plain,
    ( ( $true
      = ( dirty @ sK6 @ mactual ) )
    | ( ( chevy @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f365]) ).

thf(f365,plain,
    ( ( ( ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( chevy @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f364]) ).

thf(f2044,plain,
    ( spl1_130
    | spl1_113 ),
    inference(avatar_split_clause,[status(thm)],[f370,f1831,f1936]) ).

thf(f370,plain,
    ( ( ( chevy @ sK8 @ mactual )
      = $true )
    | ( ( old @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f367]) ).

thf(f367,plain,
    ( ( ( chevy @ sK8 @ mactual )
      = $true )
    | ( ( ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f365]) ).

thf(f2043,plain,
    ( spl1_130
    | spl1_112 ),
    inference(avatar_split_clause,[status(thm)],[f372,f1826,f1936]) ).

thf(f372,plain,
    ( ( ( chevy @ sK8 @ mactual )
      = $true )
    | ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f369]) ).

thf(f369,plain,
    ( ( $true
      = ( ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( chevy @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f367]) ).

thf(f2042,plain,
    ( spl1_80
    | spl1_130 ),
    inference(avatar_split_clause,[status(thm)],[f374,f1936,f1665]) ).

thf(f374,plain,
    ( ( ( chevy @ sK8 @ mactual )
      = $true )
    | ( ( down @ sK3 @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f371]) ).

thf(f371,plain,
    ( ( $true
      = ( ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( chevy @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f369]) ).

thf(f2041,plain,
    ( spl1_130
    | spl1_79 ),
    inference(avatar_split_clause,[status(thm)],[f373,f1660,f1936]) ).

thf(f373,plain,
    ( ( ( chevy @ sK8 @ mactual )
      = $true )
    | ( $true
      = ( in @ sK3 @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f371]) ).

thf(f2040,plain,
    ( spl1_129
    | spl1_115 ),
    inference(avatar_split_clause,[status(thm)],[f378,f1841,f1931]) ).

thf(f378,plain,
    ( ( ( car @ sK8 @ mactual )
      = $true )
    | ( $true
      = ( white @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f376]) ).

thf(f376,plain,
    ( ( $true
      = ( white @ sK6 @ mactual ) )
    | ( $true
      = ( ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f363]) ).

thf(f363,plain,
    ( ( ( ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( $true
      = ( ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f341]) ).

thf(f2039,plain,
    ( spl1_115
    | spl1_128 ),
    inference(avatar_split_clause,[status(thm)],[f380,f1926,f1841]) ).

thf(f380,plain,
    ( ( $true
      = ( white @ sK8 @ mactual ) )
    | ( $true
      = ( white @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f377]) ).

thf(f377,plain,
    ( ( ( ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( $true
      = ( white @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f376]) ).

thf(f2038,plain,
    ( spl1_127
    | spl1_115 ),
    inference(avatar_split_clause,[status(thm)],[f382,f1841,f1921]) ).

thf(f382,plain,
    ( ( $true
      = ( white @ sK6 @ mactual ) )
    | ( ( dirty @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f379]) ).

thf(f379,plain,
    ( ( ( ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( $true
      = ( white @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f377]) ).

thf(f2037,plain,
    ( spl1_126
    | spl1_115 ),
    inference(avatar_split_clause,[status(thm)],[f384,f1841,f1916]) ).

thf(f384,plain,
    ( ( ( old @ sK8 @ mactual )
      = $true )
    | ( $true
      = ( white @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f381]) ).

thf(f381,plain,
    ( ( $true
      = ( white @ sK6 @ mactual ) )
    | ( ( ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f379]) ).

thf(f2036,plain,
    ( spl1_115
    | spl1_136 ),
    inference(avatar_split_clause,[status(thm)],[f386,f1983,f1841]) ).

thf(f386,plain,
    ( ( $true
      = ( white @ sK6 @ mactual ) )
    | ( ( street @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f383]) ).

thf(f383,plain,
    ( ( ( ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( $true
      = ( white @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f381]) ).

thf(f2035,plain,
    ( spl1_115
    | spl1_135 ),
    inference(avatar_split_clause,[status(thm)],[f388,f1978,f1841]) ).

thf(f388,plain,
    ( ( ( way @ sK9 @ mactual )
      = $true )
    | ( $true
      = ( white @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f385]) ).

thf(f385,plain,
    ( ( $true
      = ( ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) )
    | ( $true
      = ( white @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f383]) ).

thf(f2034,plain,
    ( spl1_115
    | spl1_134 ),
    inference(avatar_split_clause,[status(thm)],[f390,f1973,f1841]) ).

thf(f390,plain,
    ( ( $true
      = ( white @ sK6 @ mactual ) )
    | ( ( lonely @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f387]) ).

thf(f387,plain,
    ( ( ( ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( $true
      = ( white @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f385]) ).

thf(f2033,plain,
    ( spl1_115
    | spl1_122 ),
    inference(avatar_split_clause,[status(thm)],[f392,f1896,f1841]) ).

thf(f392,plain,
    ( ( ( barrel @ sK7 @ sK8 @ mactual )
      = $true )
    | ( $true
      = ( white @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f389]) ).

thf(f389,plain,
    ( ( ( ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( $true
      = ( white @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f387]) ).

thf(f2032,plain,
    ( spl1_133
    | spl1_115 ),
    inference(avatar_split_clause,[status(thm)],[f394,f1841,f1967]) ).

thf(f394,plain,
    ( ( $true
      = ( white @ sK6 @ mactual ) )
    | ( $true
      = ( down @ sK7 @ sK9 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f391]) ).

thf(f391,plain,
    ( ( $true
      = ( white @ sK6 @ mactual ) )
    | ( ( ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f389]) ).

thf(f2031,plain,
    ( spl1_115
    | spl1_120 ),
    inference(avatar_split_clause,[status(thm)],[f393,f1886,f1841]) ).

thf(f393,plain,
    ( ( $true
      = ( in @ sK7 @ sK5 @ mactual ) )
    | ( $true
      = ( white @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f391]) ).

thf(f2030,plain,
    ( spl1_114
    | spl1_129 ),
    inference(avatar_split_clause,[status(thm)],[f398,f1931,f1836]) ).

thf(f398,plain,
    ( ( $true
      = ( dirty @ sK6 @ mactual ) )
    | ( ( car @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f396]) ).

thf(f396,plain,
    ( ( ( car @ sK8 @ mactual )
      = $true )
    | ( ( ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f375]) ).

thf(f375,plain,
    ( ( $true
      = ( ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) )
    | ( ( ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f363]) ).

thf(f2029,plain,
    ( spl1_113
    | spl1_129 ),
    inference(avatar_split_clause,[status(thm)],[f400,f1931,f1831]) ).

thf(f400,plain,
    ( ( ( car @ sK8 @ mactual )
      = $true )
    | ( ( old @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f397]) ).

thf(f397,plain,
    ( ( ( ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( car @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f396]) ).

thf(f2028,plain,
    ( spl1_129
    | spl1_112 ),
    inference(avatar_split_clause,[status(thm)],[f402,f1826,f1931]) ).

thf(f402,plain,
    ( ( ( car @ sK8 @ mactual )
      = $true )
    | ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f399]) ).

thf(f399,plain,
    ( ( $true
      = ( ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( car @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f397]) ).

thf(f2027,plain,
    ( spl1_80
    | spl1_129 ),
    inference(avatar_split_clause,[status(thm)],[f404,f1931,f1665]) ).

thf(f404,plain,
    ( ( ( car @ sK8 @ mactual )
      = $true )
    | ( ( down @ sK3 @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f401]) ).

thf(f401,plain,
    ( ( ( car @ sK8 @ mactual )
      = $true )
    | ( $true
      = ( ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f399]) ).

thf(f2026,plain,
    ( spl1_79
    | spl1_129 ),
    inference(avatar_split_clause,[status(thm)],[f403,f1931,f1660]) ).

thf(f403,plain,
    ( ( $true
      = ( in @ sK3 @ sK2 @ mactual ) )
    | ( ( car @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f401]) ).

thf(f2025,plain,
    ( spl1_128
    | spl1_114 ),
    inference(avatar_split_clause,[status(thm)],[f408,f1836,f1926]) ).

thf(f408,plain,
    ( ( $true
      = ( white @ sK8 @ mactual ) )
    | ( $true
      = ( dirty @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f406]) ).

thf(f406,plain,
    ( ( $true
      = ( white @ sK8 @ mactual ) )
    | ( ( ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f395]) ).

thf(f395,plain,
    ( ( ( ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f375]) ).

thf(f2024,plain,
    ( spl1_128
    | spl1_113 ),
    inference(avatar_split_clause,[status(thm)],[f410,f1831,f1926]) ).

thf(f410,plain,
    ( ( ( old @ sK6 @ mactual )
      = $true )
    | ( $true
      = ( white @ sK8 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f407]) ).

thf(f407,plain,
    ( ( $true
      = ( white @ sK8 @ mactual ) )
    | ( ( ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f406]) ).

thf(f2023,plain,
    ( spl1_128
    | spl1_112 ),
    inference(avatar_split_clause,[status(thm)],[f412,f1826,f1926]) ).

thf(f412,plain,
    ( ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true )
    | ( $true
      = ( white @ sK8 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f409]) ).

thf(f409,plain,
    ( ( $true
      = ( white @ sK8 @ mactual ) )
    | ( $true
      = ( ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f407]) ).

thf(f2022,plain,
    ( spl1_128
    | spl1_80 ),
    inference(avatar_split_clause,[status(thm)],[f414,f1665,f1926]) ).

thf(f414,plain,
    ( ( $true
      = ( white @ sK8 @ mactual ) )
    | ( ( down @ sK3 @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f411]) ).

thf(f411,plain,
    ( ( $true
      = ( ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( $true
      = ( white @ sK8 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f409]) ).

thf(f2021,plain,
    ( spl1_128
    | spl1_79 ),
    inference(avatar_split_clause,[status(thm)],[f413,f1660,f1926]) ).

thf(f413,plain,
    ( ( $true
      = ( white @ sK8 @ mactual ) )
    | ( $true
      = ( in @ sK3 @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f411]) ).

thf(f2020,plain,
    ( spl1_127
    | spl1_114 ),
    inference(avatar_split_clause,[status(thm)],[f418,f1836,f1921]) ).

thf(f418,plain,
    ( ( ( dirty @ sK8 @ mactual )
      = $true )
    | ( $true
      = ( dirty @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f416]) ).

thf(f416,plain,
    ( ( ( dirty @ sK8 @ mactual )
      = $true )
    | ( ( ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f405]) ).

thf(f405,plain,
    ( ( ( ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f395]) ).

thf(f2019,plain,
    ( spl1_113
    | spl1_127 ),
    inference(avatar_split_clause,[status(thm)],[f420,f1921,f1831]) ).

thf(f420,plain,
    ( ( ( old @ sK6 @ mactual )
      = $true )
    | ( ( dirty @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f417]) ).

thf(f417,plain,
    ( ( ( ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( dirty @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f416]) ).

thf(f2018,plain,
    ( spl1_127
    | spl1_112 ),
    inference(avatar_split_clause,[status(thm)],[f422,f1826,f1921]) ).

thf(f422,plain,
    ( ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true )
    | ( ( dirty @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f419]) ).

thf(f419,plain,
    ( ( $true
      = ( ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( dirty @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f417]) ).

thf(f2017,plain,
    ( spl1_127
    | spl1_80 ),
    inference(avatar_split_clause,[status(thm)],[f424,f1665,f1921]) ).

thf(f424,plain,
    ( ( ( dirty @ sK8 @ mactual )
      = $true )
    | ( ( down @ sK3 @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f421]) ).

thf(f421,plain,
    ( ( $true
      = ( ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( dirty @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f419]) ).

thf(f2016,plain,
    ( spl1_79
    | spl1_127 ),
    inference(avatar_split_clause,[status(thm)],[f423,f1921,f1660]) ).

thf(f423,plain,
    ( ( ( dirty @ sK8 @ mactual )
      = $true )
    | ( $true
      = ( in @ sK3 @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f421]) ).

thf(f2015,plain,
    ( spl1_114
    | spl1_126 ),
    inference(avatar_split_clause,[status(thm)],[f428,f1916,f1836]) ).

thf(f428,plain,
    ( ( $true
      = ( dirty @ sK6 @ mactual ) )
    | ( ( old @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f426]) ).

thf(f426,plain,
    ( ( $true
      = ( dirty @ sK6 @ mactual ) )
    | ( ( ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f415]) ).

thf(f415,plain,
    ( ( ( ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f405]) ).

thf(f2014,plain,
    ( spl1_136
    | spl1_114 ),
    inference(avatar_split_clause,[status(thm)],[f430,f1836,f1983]) ).

thf(f430,plain,
    ( ( ( street @ sK9 @ mactual )
      = $true )
    | ( $true
      = ( dirty @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f427]) ).

thf(f427,plain,
    ( ( ( ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( $true
      = ( dirty @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f426]) ).

thf(f2013,plain,
    ( spl1_114
    | spl1_135 ),
    inference(avatar_split_clause,[status(thm)],[f432,f1978,f1836]) ).

thf(f432,plain,
    ( ( $true
      = ( dirty @ sK6 @ mactual ) )
    | ( ( way @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f429]) ).

thf(f429,plain,
    ( ( $true
      = ( ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) )
    | ( $true
      = ( dirty @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f427]) ).

thf(f2012,plain,
    ( spl1_134
    | spl1_114 ),
    inference(avatar_split_clause,[status(thm)],[f434,f1836,f1973]) ).

thf(f434,plain,
    ( ( $true
      = ( dirty @ sK6 @ mactual ) )
    | ( ( lonely @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f431]) ).

thf(f431,plain,
    ( ( ( ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( $true
      = ( dirty @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f429]) ).

thf(f2011,plain,
    ( spl1_114
    | spl1_122 ),
    inference(avatar_split_clause,[status(thm)],[f436,f1896,f1836]) ).

thf(f436,plain,
    ( ( ( barrel @ sK7 @ sK8 @ mactual )
      = $true )
    | ( $true
      = ( dirty @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f433]) ).

thf(f433,plain,
    ( ( $true
      = ( dirty @ sK6 @ mactual ) )
    | ( ( ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f431]) ).

thf(f2010,plain,
    ( spl1_133
    | spl1_114 ),
    inference(avatar_split_clause,[status(thm)],[f438,f1836,f1967]) ).

thf(f438,plain,
    ( ( $true
      = ( dirty @ sK6 @ mactual ) )
    | ( $true
      = ( down @ sK7 @ sK9 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f435]) ).

thf(f435,plain,
    ( ( ( ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( $true
      = ( dirty @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f433]) ).

thf(f2009,plain,
    ( spl1_114
    | spl1_120 ),
    inference(avatar_split_clause,[status(thm)],[f437,f1886,f1836]) ).

thf(f437,plain,
    ( ( $true
      = ( in @ sK7 @ sK5 @ mactual ) )
    | ( $true
      = ( dirty @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f435]) ).

thf(f2008,plain,
    ( spl1_126
    | spl1_113 ),
    inference(avatar_split_clause,[status(thm)],[f442,f1831,f1916]) ).

thf(f442,plain,
    ( ( ( old @ sK6 @ mactual )
      = $true )
    | ( ( old @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f440]) ).

thf(f440,plain,
    ( ( ( old @ sK8 @ mactual )
      = $true )
    | ( ( ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f425]) ).

thf(f425,plain,
    ( ( ( ( old @ sK8 @ mactual )
        & ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f415]) ).

thf(f2007,plain,
    ( spl1_112
    | spl1_126 ),
    inference(avatar_split_clause,[status(thm)],[f444,f1916,f1826]) ).

thf(f444,plain,
    ( ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true )
    | ( ( old @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f441]) ).

thf(f441,plain,
    ( ( $true
      = ( ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( old @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f440]) ).

thf(f2006,plain,
    ( spl1_126
    | spl1_80 ),
    inference(avatar_split_clause,[status(thm)],[f446,f1665,f1916]) ).

thf(f446,plain,
    ( ( ( down @ sK3 @ sK4 @ mactual )
      = $true )
    | ( ( old @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f443]) ).

thf(f443,plain,
    ( ( $true
      = ( ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( old @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f441]) ).

thf(f2005,plain,
    ( spl1_79
    | spl1_126 ),
    inference(avatar_split_clause,[status(thm)],[f445,f1916,f1660]) ).

thf(f445,plain,
    ( ( $true
      = ( in @ sK3 @ sK2 @ mactual ) )
    | ( ( old @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f443]) ).

thf(f2004,plain,
    ( spl1_113
    | spl1_136 ),
    inference(avatar_split_clause,[status(thm)],[f450,f1983,f1831]) ).

thf(f450,plain,
    ( ( ( street @ sK9 @ mactual )
      = $true )
    | ( ( old @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f448]) ).

thf(f448,plain,
    ( ( ( old @ sK6 @ mactual )
      = $true )
    | ( ( ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f439]) ).

thf(f439,plain,
    ( ( ( ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f425]) ).

thf(f2003,plain,
    ( spl1_113
    | spl1_135 ),
    inference(avatar_split_clause,[status(thm)],[f452,f1978,f1831]) ).

thf(f452,plain,
    ( ( ( way @ sK9 @ mactual )
      = $true )
    | ( ( old @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f449]) ).

thf(f449,plain,
    ( ( $true
      = ( ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) )
    | ( ( old @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f448]) ).

thf(f2002,plain,
    ( spl1_134
    | spl1_113 ),
    inference(avatar_split_clause,[status(thm)],[f454,f1831,f1973]) ).

thf(f454,plain,
    ( ( ( lonely @ sK9 @ mactual )
      = $true )
    | ( ( old @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f451]) ).

thf(f451,plain,
    ( ( ( ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( old @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f449]) ).

thf(f2001,plain,
    ( spl1_113
    | spl1_122 ),
    inference(avatar_split_clause,[status(thm)],[f456,f1896,f1831]) ).

thf(f456,plain,
    ( ( ( old @ sK6 @ mactual )
      = $true )
    | ( ( barrel @ sK7 @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f453]) ).

thf(f453,plain,
    ( ( ( old @ sK6 @ mactual )
      = $true )
    | ( ( ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f451]) ).

thf(f2000,plain,
    ( spl1_133
    | spl1_113 ),
    inference(avatar_split_clause,[status(thm)],[f458,f1831,f1967]) ).

thf(f458,plain,
    ( ( ( old @ sK6 @ mactual )
      = $true )
    | ( $true
      = ( down @ sK7 @ sK9 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f455]) ).

thf(f455,plain,
    ( ( ( old @ sK6 @ mactual )
      = $true )
    | ( ( ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f453]) ).

thf(f1999,plain,
    ( spl1_113
    | spl1_120 ),
    inference(avatar_split_clause,[status(thm)],[f457,f1886,f1831]) ).

thf(f457,plain,
    ( ( $true
      = ( in @ sK7 @ sK5 @ mactual ) )
    | ( ( old @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f455]) ).

thf(f1998,plain,
    ( spl1_112
    | spl1_136 ),
    inference(avatar_split_clause,[status(thm)],[f462,f1983,f1826]) ).

thf(f462,plain,
    ( ( ( street @ sK9 @ mactual )
      = $true )
    | ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f460]) ).

thf(f460,plain,
    ( ( ( ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f447]) ).

thf(f447,plain,
    ( ( $true
      = ( ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f439]) ).

thf(f1997,plain,
    ( spl1_135
    | spl1_112 ),
    inference(avatar_split_clause,[status(thm)],[f464,f1826,f1978]) ).

thf(f464,plain,
    ( ( ( way @ sK9 @ mactual )
      = $true )
    | ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f461]) ).

thf(f461,plain,
    ( ( $true
      = ( ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) )
    | ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f460]) ).

thf(f1996,plain,
    ( spl1_134
    | spl1_112 ),
    inference(avatar_split_clause,[status(thm)],[f466,f1826,f1973]) ).

thf(f466,plain,
    ( ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true )
    | ( ( lonely @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f463]) ).

thf(f463,plain,
    ( ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true )
    | ( ( ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f461]) ).

thf(f1995,plain,
    ( spl1_122
    | spl1_112 ),
    inference(avatar_split_clause,[status(thm)],[f468,f1826,f1896]) ).

thf(f468,plain,
    ( ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true )
    | ( ( barrel @ sK7 @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f465]) ).

thf(f465,plain,
    ( ( ( ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f463]) ).

thf(f1994,plain,
    ( spl1_112
    | spl1_133 ),
    inference(avatar_split_clause,[status(thm)],[f470,f1967,f1826]) ).

thf(f470,plain,
    ( ( $true
      = ( down @ sK7 @ sK9 @ mactual ) )
    | ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f467]) ).

thf(f467,plain,
    ( ( ( ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f465]) ).

thf(f1993,plain,
    ( spl1_112
    | spl1_120 ),
    inference(avatar_split_clause,[status(thm)],[f469,f1886,f1826]) ).

thf(f469,plain,
    ( ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true )
    | ( $true
      = ( in @ sK7 @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f467]) ).

thf(f1992,plain,
    ( spl1_80
    | spl1_136 ),
    inference(avatar_split_clause,[status(thm)],[f474,f1983,f1665]) ).

thf(f474,plain,
    ( ( ( street @ sK9 @ mactual )
      = $true )
    | ( ( down @ sK3 @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f472]) ).

thf(f472,plain,
    ( ( ( ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( down @ sK3 @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f459]) ).

thf(f459,plain,
    ( ( $true
      = ( ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f447]) ).

thf(f1991,plain,
    ( spl1_135
    | spl1_80 ),
    inference(avatar_split_clause,[status(thm)],[f476,f1665,f1978]) ).

thf(f476,plain,
    ( ( ( way @ sK9 @ mactual )
      = $true )
    | ( ( down @ sK3 @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f473]) ).

thf(f473,plain,
    ( ( $true
      = ( ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) )
    | ( ( down @ sK3 @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f472]) ).

thf(f1990,plain,
    ( spl1_134
    | spl1_80 ),
    inference(avatar_split_clause,[status(thm)],[f478,f1665,f1973]) ).

thf(f478,plain,
    ( ( ( down @ sK3 @ sK4 @ mactual )
      = $true )
    | ( ( lonely @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f475]) ).

thf(f475,plain,
    ( ( ( down @ sK3 @ sK4 @ mactual )
      = $true )
    | ( ( ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f473]) ).

thf(f1989,plain,
    ( spl1_122
    | spl1_80 ),
    inference(avatar_split_clause,[status(thm)],[f480,f1665,f1896]) ).

thf(f480,plain,
    ( ( ( down @ sK3 @ sK4 @ mactual )
      = $true )
    | ( ( barrel @ sK7 @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f477]) ).

thf(f477,plain,
    ( ( ( down @ sK3 @ sK4 @ mactual )
      = $true )
    | ( ( ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f475]) ).

thf(f1988,plain,
    ( spl1_133
    | spl1_80 ),
    inference(avatar_split_clause,[status(thm)],[f482,f1665,f1967]) ).

thf(f482,plain,
    ( ( ( down @ sK3 @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( down @ sK7 @ sK9 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f479]) ).

thf(f479,plain,
    ( ( ( down @ sK3 @ sK4 @ mactual )
      = $true )
    | ( ( ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f477]) ).

thf(f1987,plain,
    ( spl1_80
    | spl1_120 ),
    inference(avatar_split_clause,[status(thm)],[f481,f1886,f1665]) ).

thf(f481,plain,
    ( ( ( down @ sK3 @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( in @ sK7 @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f479]) ).

thf(f1986,plain,
    ( spl1_136
    | spl1_79 ),
    inference(avatar_split_clause,[status(thm)],[f484,f1660,f1983]) ).

thf(f484,plain,
    ( ( ( street @ sK9 @ mactual )
      = $true )
    | ( $true
      = ( in @ sK3 @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f471]) ).

thf(f471,plain,
    ( ( $true
      = ( in @ sK3 @ sK2 @ mactual ) )
    | ( ( ( street @ sK9 @ mactual )
        & ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f459]) ).

thf(f1981,plain,
    ( spl1_135
    | spl1_79 ),
    inference(avatar_split_clause,[status(thm)],[f486,f1660,f1978]) ).

thf(f486,plain,
    ( ( ( way @ sK9 @ mactual )
      = $true )
    | ( $true
      = ( in @ sK3 @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f483]) ).

thf(f483,plain,
    ( ( $true
      = ( ( way @ sK9 @ mactual )
        & ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) ) )
    | ( $true
      = ( in @ sK3 @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f471]) ).

thf(f1976,plain,
    ( spl1_79
    | spl1_134 ),
    inference(avatar_split_clause,[status(thm)],[f488,f1973,f1660]) ).

thf(f488,plain,
    ( ( $true
      = ( in @ sK3 @ sK2 @ mactual ) )
    | ( ( lonely @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f485]) ).

thf(f485,plain,
    ( ( $true
      = ( in @ sK3 @ sK2 @ mactual ) )
    | ( ( ( lonely @ sK9 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f483]) ).

thf(f1971,plain,
    ( spl1_79
    | spl1_122 ),
    inference(avatar_split_clause,[status(thm)],[f490,f1896,f1660]) ).

thf(f490,plain,
    ( ( $true
      = ( in @ sK3 @ sK2 @ mactual ) )
    | ( ( barrel @ sK7 @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f487]) ).

thf(f487,plain,
    ( ( $true
      = ( in @ sK3 @ sK2 @ mactual ) )
    | ( ( ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f485]) ).

thf(f1970,plain,
    ( spl1_133
    | spl1_79 ),
    inference(avatar_split_clause,[status(thm)],[f492,f1660,f1967]) ).

thf(f492,plain,
    ( ( $true
      = ( down @ sK7 @ sK9 @ mactual ) )
    | ( $true
      = ( in @ sK3 @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f489]) ).

thf(f489,plain,
    ( ( ( ( down @ sK7 @ sK9 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( $true
      = ( in @ sK3 @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f487]) ).

thf(f1965,plain,
    ( spl1_120
    | spl1_79 ),
    inference(avatar_split_clause,[status(thm)],[f491,f1660,f1886]) ).

thf(f491,plain,
    ( ( $true
      = ( in @ sK3 @ sK2 @ mactual ) )
    | ( $true
      = ( in @ sK7 @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f489]) ).

thf(f1964,plain,
    ( spl1_132
    | spl1_92 ),
    inference(avatar_split_clause,[status(thm)],[f494,f1725,f1948]) ).

thf(f494,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( ( eiw_di @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f101]) ).

thf(f101,plain,
    ( ( $true
      = ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( eiw_di @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f100]) ).

thf(f1963,plain,
    ( spl1_91
    | spl1_132 ),
    inference(avatar_split_clause,[status(thm)],[f496,f1948,f1720]) ).

thf(f496,plain,
    ( ( ( eiw_di @ sK9 @ mactual )
      = $true )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f493]) ).

thf(f493,plain,
    ( ( $true
      = ( ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( eiw_di @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f101]) ).

thf(f1962,plain,
    ( spl1_132
    | spl1_90 ),
    inference(avatar_split_clause,[status(thm)],[f498,f1715,f1948]) ).

thf(f498,plain,
    ( ( ( event @ sK3 @ mactual )
      = $true )
    | ( ( eiw_di @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f495]) ).

thf(f495,plain,
    ( ( ( eiw_di @ sK9 @ mactual )
      = $true )
    | ( ( ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f493]) ).

thf(f1961,plain,
    ( spl1_89
    | spl1_132 ),
    inference(avatar_split_clause,[status(thm)],[f500,f1948,f1710]) ).

thf(f500,plain,
    ( ( ( eiw_di @ sK9 @ mactual )
      = $true )
    | ( ( street @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f497]) ).

thf(f497,plain,
    ( ( ( eiw_di @ sK9 @ mactual )
      = $true )
    | ( ( ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f495]) ).

thf(f1960,plain,
    ( spl1_132
    | spl1_88 ),
    inference(avatar_split_clause,[status(thm)],[f502,f1705,f1948]) ).

thf(f502,plain,
    ( ( ( way @ sK4 @ mactual )
      = $true )
    | ( ( eiw_di @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f499]) ).

thf(f499,plain,
    ( ( ( ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f497]) ).

thf(f1959,plain,
    ( spl1_87
    | spl1_132 ),
    inference(avatar_split_clause,[status(thm)],[f504,f1948,f1700]) ).

thf(f504,plain,
    ( ( ( lonely @ sK4 @ mactual )
      = $true )
    | ( ( eiw_di @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f501]) ).

thf(f501,plain,
    ( ( ( ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f499]) ).

thf(f1958,plain,
    ( spl1_117
    | spl1_132 ),
    inference(avatar_split_clause,[status(thm)],[f506,f1948,f1851]) ).

thf(f506,plain,
    ( ( ( chevy @ sK6 @ mactual )
      = $true )
    | ( ( eiw_di @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f503]) ).

thf(f503,plain,
    ( ( ( ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f501]) ).

thf(f1957,plain,
    ( spl1_116
    | spl1_132 ),
    inference(avatar_split_clause,[status(thm)],[f508,f1948,f1846]) ).

thf(f508,plain,
    ( ( ( eiw_di @ sK9 @ mactual )
      = $true )
    | ( ( car @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f505]) ).

thf(f505,plain,
    ( ( ( ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f503]) ).

thf(f1956,plain,
    ( spl1_115
    | spl1_132 ),
    inference(avatar_split_clause,[status(thm)],[f510,f1948,f1841]) ).

thf(f510,plain,
    ( ( $true
      = ( white @ sK6 @ mactual ) )
    | ( ( eiw_di @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f507]) ).

thf(f507,plain,
    ( ( ( eiw_di @ sK9 @ mactual )
      = $true )
    | ( ( ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f505]) ).

thf(f1955,plain,
    ( spl1_114
    | spl1_132 ),
    inference(avatar_split_clause,[status(thm)],[f512,f1948,f1836]) ).

thf(f512,plain,
    ( ( ( eiw_di @ sK9 @ mactual )
      = $true )
    | ( $true
      = ( dirty @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f509]) ).

thf(f509,plain,
    ( ( ( ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f507]) ).

thf(f1954,plain,
    ( spl1_132
    | spl1_113 ),
    inference(avatar_split_clause,[status(thm)],[f514,f1831,f1948]) ).

thf(f514,plain,
    ( ( ( old @ sK6 @ mactual )
      = $true )
    | ( ( eiw_di @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f511]) ).

thf(f511,plain,
    ( ( ( ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f509]) ).

thf(f1953,plain,
    ( spl1_132
    | spl1_112 ),
    inference(avatar_split_clause,[status(thm)],[f516,f1826,f1948]) ).

thf(f516,plain,
    ( ( ( eiw_di @ sK9 @ mactual )
      = $true )
    | ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f513]) ).

thf(f513,plain,
    ( ( $true
      = ( ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( eiw_di @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f511]) ).

thf(f1952,plain,
    ( spl1_132
    | spl1_80 ),
    inference(avatar_split_clause,[status(thm)],[f518,f1665,f1948]) ).

thf(f518,plain,
    ( ( ( eiw_di @ sK9 @ mactual )
      = $true )
    | ( ( down @ sK3 @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f515]) ).

thf(f515,plain,
    ( ( $true
      = ( ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( eiw_di @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f513]) ).

thf(f1951,plain,
    ( spl1_132
    | spl1_79 ),
    inference(avatar_split_clause,[status(thm)],[f517,f1660,f1948]) ).

thf(f517,plain,
    ( ( $true
      = ( in @ sK3 @ sK2 @ mactual ) )
    | ( ( eiw_di @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f515]) ).

thf(f1946,plain,
    ( spl1_111
    | spl1_109 ),
    inference(avatar_split_clause,[status(thm)],[f524,f1810,f1819]) ).

thf(f524,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $true )
    | ( $true
      = ( hollywood @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f522]) ).

thf(f522,plain,
    ( ( ( ( hollywood @ sK5 @ mactual )
        & ( city @ sK5 @ mactual )
        & ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK10 @ mactual )
        & ( way @ sK10 @ mactual )
        & ( lonely @ sK10 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK10 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f520]) ).

thf(f520,plain,
    ( ( ( ( hollywood @ sK5 @ mactual )
        & ( city @ sK5 @ mactual )
        & ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK10 @ mactual )
        & ( way @ sK10 @ mactual )
        & ( lonely @ sK10 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK10 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual )
        & ( eiw_di @ sK10 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK6 @ mactual )
      = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f519]) ).

thf(f519,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $true )
    | ( $true
      = ( ^ [Y0: $i] :
            ( ( hollywood @ sK5 @ mactual )
            & ( city @ sK5 @ mactual )
            & ( event @ sK7 @ mactual )
            & ( chevy @ sK8 @ mactual )
            & ( car @ sK8 @ mactual )
            & ( white @ sK8 @ mactual )
            & ( dirty @ sK8 @ mactual )
            & ( old @ sK8 @ mactual )
            & ( street @ Y0 @ mactual )
            & ( way @ Y0 @ mactual )
            & ( lonely @ Y0 @ mactual )
            & ( barrel @ sK7 @ sK8 @ mactual )
            & ( down @ sK7 @ Y0 @ mactual )
            & ( in @ sK7 @ sK5 @ mactual )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK10 ) ) ),
    inference(sigma_clausification,[status(thm)],[f97]) ).

thf(f97,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $true )
    | ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( hollywood @ sK5 @ mactual )
            & ( city @ sK5 @ mactual )
            & ( event @ sK7 @ mactual )
            & ( chevy @ sK8 @ mactual )
            & ( car @ sK8 @ mactual )
            & ( white @ sK8 @ mactual )
            & ( dirty @ sK8 @ mactual )
            & ( old @ sK8 @ mactual )
            & ( street @ Y0 @ mactual )
            & ( way @ Y0 @ mactual )
            & ( lonely @ Y0 @ mactual )
            & ( barrel @ sK7 @ sK8 @ mactual )
            & ( down @ sK7 @ Y0 @ mactual )
            & ( in @ sK7 @ sK5 @ mactual )
            & ( eiw_di @ Y0 @ mactual ) ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f96]) ).

thf(f1945,plain,
    ( spl1_108
    | spl1_111 ),
    inference(avatar_split_clause,[status(thm)],[f526,f1819,f1805]) ).

thf(f526,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $true )
    | ( ( city @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f523]) ).

thf(f523,plain,
    ( ( ( ( city @ sK5 @ mactual )
        & ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK10 @ mactual )
        & ( way @ sK10 @ mactual )
        & ( lonely @ sK10 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK10 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f522]) ).

thf(f1944,plain,
    ( spl1_111
    | spl1_131 ),
    inference(avatar_split_clause,[status(thm)],[f528,f1941,f1819]) ).

thf(f528,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $true )
    | ( ( event @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f525]) ).

thf(f525,plain,
    ( ( ( ( event @ sK7 @ mactual )
        & ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK10 @ mactual )
        & ( way @ sK10 @ mactual )
        & ( lonely @ sK10 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK10 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f523]) ).

thf(f1939,plain,
    ( spl1_111
    | spl1_130 ),
    inference(avatar_split_clause,[status(thm)],[f530,f1936,f1819]) ).

thf(f530,plain,
    ( ( ( chevy @ sK8 @ mactual )
      = $true )
    | ( ( eiw_di @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f527]) ).

thf(f527,plain,
    ( ( ( ( chevy @ sK8 @ mactual )
        & ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK10 @ mactual )
        & ( way @ sK10 @ mactual )
        & ( lonely @ sK10 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK10 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f525]) ).

thf(f1934,plain,
    ( spl1_111
    | spl1_129 ),
    inference(avatar_split_clause,[status(thm)],[f532,f1931,f1819]) ).

thf(f532,plain,
    ( ( ( car @ sK8 @ mactual )
      = $true )
    | ( ( eiw_di @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f529]) ).

thf(f529,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $true )
    | ( ( ( car @ sK8 @ mactual )
        & ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK10 @ mactual )
        & ( way @ sK10 @ mactual )
        & ( lonely @ sK10 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK10 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f527]) ).

thf(f1929,plain,
    ( spl1_128
    | spl1_111 ),
    inference(avatar_split_clause,[status(thm)],[f534,f1819,f1926]) ).

thf(f534,plain,
    ( ( $true
      = ( white @ sK8 @ mactual ) )
    | ( ( eiw_di @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f531]) ).

thf(f531,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $true )
    | ( ( ( white @ sK8 @ mactual )
        & ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK10 @ mactual )
        & ( way @ sK10 @ mactual )
        & ( lonely @ sK10 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK10 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f529]) ).

thf(f1924,plain,
    ( spl1_127
    | spl1_111 ),
    inference(avatar_split_clause,[status(thm)],[f536,f1819,f1921]) ).

thf(f536,plain,
    ( ( ( dirty @ sK8 @ mactual )
      = $true )
    | ( ( eiw_di @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f533]) ).

thf(f533,plain,
    ( ( ( ( dirty @ sK8 @ mactual )
        & ( old @ sK8 @ mactual )
        & ( street @ sK10 @ mactual )
        & ( way @ sK10 @ mactual )
        & ( lonely @ sK10 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK10 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f531]) ).

thf(f1919,plain,
    ( spl1_126
    | spl1_111 ),
    inference(avatar_split_clause,[status(thm)],[f538,f1819,f1916]) ).

thf(f538,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $true )
    | ( ( old @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f535]) ).

thf(f535,plain,
    ( ( ( ( old @ sK8 @ mactual )
        & ( street @ sK10 @ mactual )
        & ( way @ sK10 @ mactual )
        & ( lonely @ sK10 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK10 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f533]) ).

thf(f1914,plain,
    ( spl1_111
    | spl1_125 ),
    inference(avatar_split_clause,[status(thm)],[f540,f1911,f1819]) ).

thf(f540,plain,
    ( ( ( street @ sK10 @ mactual )
      = $true )
    | ( ( eiw_di @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f537]) ).

thf(f537,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $true )
    | ( ( ( street @ sK10 @ mactual )
        & ( way @ sK10 @ mactual )
        & ( lonely @ sK10 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK10 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f535]) ).

thf(f1909,plain,
    ( spl1_124
    | spl1_111 ),
    inference(avatar_split_clause,[status(thm)],[f542,f1819,f1906]) ).

thf(f542,plain,
    ( ( ( way @ sK10 @ mactual )
      = $true )
    | ( ( eiw_di @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f539]) ).

thf(f539,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $true )
    | ( ( ( way @ sK10 @ mactual )
        & ( lonely @ sK10 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK10 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f537]) ).

thf(f1904,plain,
    ( spl1_123
    | spl1_111 ),
    inference(avatar_split_clause,[status(thm)],[f544,f1819,f1901]) ).

thf(f544,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $true )
    | ( ( lonely @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f541]) ).

thf(f541,plain,
    ( ( ( ( lonely @ sK10 @ mactual )
        & ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK10 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f539]) ).

thf(f1899,plain,
    ( spl1_122
    | spl1_111 ),
    inference(avatar_split_clause,[status(thm)],[f546,f1819,f1896]) ).

thf(f546,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $true )
    | ( ( barrel @ sK7 @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f543]) ).

thf(f543,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $true )
    | ( ( ( barrel @ sK7 @ sK8 @ mactual )
        & ( down @ sK7 @ sK10 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f541]) ).

thf(f1894,plain,
    ( spl1_121
    | spl1_111 ),
    inference(avatar_split_clause,[status(thm)],[f548,f1819,f1891]) ).

thf(f548,plain,
    ( ( ( down @ sK7 @ sK10 @ mactual )
      = $true )
    | ( ( eiw_di @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f545]) ).

thf(f545,plain,
    ( ( ( ( down @ sK7 @ sK10 @ mactual )
        & ( in @ sK7 @ sK5 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f543]) ).

thf(f1889,plain,
    ( spl1_111
    | spl1_120 ),
    inference(avatar_split_clause,[status(thm)],[f547,f1886,f1819]) ).

thf(f547,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $true )
    | ( $true
      = ( in @ sK7 @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f545]) ).

thf(f1884,plain,
    ( spl1_119
    | spl1_111 ),
    inference(avatar_split_clause,[status(thm)],[f521,f1819,f1881]) ).

thf(f521,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $true )
    | ( ( eiw_di @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f520]) ).

thf(f1879,plain,
    ( spl1_118
    | spl1_92 ),
    inference(avatar_split_clause,[status(thm)],[f552,f1725,f1862]) ).

thf(f552,plain,
    ( ( ( eiw_di @ sK8 @ mactual )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f550]) ).

thf(f550,plain,
    ( ( $true
      = ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( eiw_di @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f95]) ).

thf(f95,plain,
    ( ( ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual )
        & ( eiw_di @ sK6 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f94]) ).

thf(f1878,plain,
    ( spl1_91
    | spl1_118 ),
    inference(avatar_split_clause,[status(thm)],[f554,f1862,f1720]) ).

thf(f554,plain,
    ( ( ( city @ sK2 @ mactual )
      = $true )
    | ( ( eiw_di @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f551]) ).

thf(f551,plain,
    ( ( $true
      = ( ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( eiw_di @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f550]) ).

thf(f1877,plain,
    ( spl1_90
    | spl1_118 ),
    inference(avatar_split_clause,[status(thm)],[f556,f1862,f1715]) ).

thf(f556,plain,
    ( ( ( event @ sK3 @ mactual )
      = $true )
    | ( ( eiw_di @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f553]) ).

thf(f553,plain,
    ( ( ( ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f551]) ).

thf(f1876,plain,
    ( spl1_118
    | spl1_89 ),
    inference(avatar_split_clause,[status(thm)],[f558,f1710,f1862]) ).

thf(f558,plain,
    ( ( ( eiw_di @ sK8 @ mactual )
      = $true )
    | ( ( street @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f555]) ).

thf(f555,plain,
    ( ( ( eiw_di @ sK8 @ mactual )
      = $true )
    | ( ( ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f553]) ).

thf(f1875,plain,
    ( spl1_88
    | spl1_118 ),
    inference(avatar_split_clause,[status(thm)],[f560,f1862,f1705]) ).

thf(f560,plain,
    ( ( ( way @ sK4 @ mactual )
      = $true )
    | ( ( eiw_di @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f557]) ).

thf(f557,plain,
    ( ( ( eiw_di @ sK8 @ mactual )
      = $true )
    | ( ( ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f555]) ).

thf(f1874,plain,
    ( spl1_118
    | spl1_87 ),
    inference(avatar_split_clause,[status(thm)],[f562,f1700,f1862]) ).

thf(f562,plain,
    ( ( ( lonely @ sK4 @ mactual )
      = $true )
    | ( ( eiw_di @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f559]) ).

thf(f559,plain,
    ( ( ( ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f557]) ).

thf(f1873,plain,
    ( spl1_118
    | spl1_117 ),
    inference(avatar_split_clause,[status(thm)],[f564,f1851,f1862]) ).

thf(f564,plain,
    ( ( ( eiw_di @ sK8 @ mactual )
      = $true )
    | ( ( chevy @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f561]) ).

thf(f561,plain,
    ( ( ( eiw_di @ sK8 @ mactual )
      = $true )
    | ( ( ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f559]) ).

thf(f1872,plain,
    ( spl1_118
    | spl1_116 ),
    inference(avatar_split_clause,[status(thm)],[f566,f1846,f1862]) ).

thf(f566,plain,
    ( ( ( eiw_di @ sK8 @ mactual )
      = $true )
    | ( ( car @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f563]) ).

thf(f563,plain,
    ( ( ( eiw_di @ sK8 @ mactual )
      = $true )
    | ( ( ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f561]) ).

thf(f1871,plain,
    ( spl1_115
    | spl1_118 ),
    inference(avatar_split_clause,[status(thm)],[f568,f1862,f1841]) ).

thf(f568,plain,
    ( ( ( eiw_di @ sK8 @ mactual )
      = $true )
    | ( $true
      = ( white @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f565]) ).

thf(f565,plain,
    ( ( ( eiw_di @ sK8 @ mactual )
      = $true )
    | ( ( ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f563]) ).

thf(f1870,plain,
    ( spl1_118
    | spl1_114 ),
    inference(avatar_split_clause,[status(thm)],[f570,f1836,f1862]) ).

thf(f570,plain,
    ( ( $true
      = ( dirty @ sK6 @ mactual ) )
    | ( ( eiw_di @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f567]) ).

thf(f567,plain,
    ( ( ( ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f565]) ).

thf(f1869,plain,
    ( spl1_118
    | spl1_113 ),
    inference(avatar_split_clause,[status(thm)],[f572,f1831,f1862]) ).

thf(f572,plain,
    ( ( ( eiw_di @ sK8 @ mactual )
      = $true )
    | ( ( old @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f569]) ).

thf(f569,plain,
    ( ( ( ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f567]) ).

thf(f1868,plain,
    ( spl1_112
    | spl1_118 ),
    inference(avatar_split_clause,[status(thm)],[f574,f1862,f1826]) ).

thf(f574,plain,
    ( ( ( eiw_di @ sK8 @ mactual )
      = $true )
    | ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f571]) ).

thf(f571,plain,
    ( ( ( eiw_di @ sK8 @ mactual )
      = $true )
    | ( $true
      = ( ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f569]) ).

thf(f1867,plain,
    ( spl1_80
    | spl1_118 ),
    inference(avatar_split_clause,[status(thm)],[f576,f1862,f1665]) ).

thf(f576,plain,
    ( ( ( down @ sK3 @ sK4 @ mactual )
      = $true )
    | ( ( eiw_di @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f573]) ).

thf(f573,plain,
    ( ( ( eiw_di @ sK8 @ mactual )
      = $true )
    | ( $true
      = ( ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f571]) ).

thf(f1866,plain,
    ( spl1_118
    | spl1_79 ),
    inference(avatar_split_clause,[status(thm)],[f575,f1660,f1862]) ).

thf(f575,plain,
    ( ( ( eiw_di @ sK8 @ mactual )
      = $true )
    | ( $true
      = ( in @ sK3 @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f573]) ).

thf(f1865,plain,
    ( spl1_111
    | spl1_118 ),
    inference(avatar_split_clause,[status(thm)],[f549,f1862,f1819]) ).

thf(f549,plain,
    ( ( ( eiw_di @ sK8 @ mactual )
      = $true )
    | ( ( eiw_di @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f95]) ).

thf(f1860,plain,
    ( spl1_110
    | spl1_92 ),
    inference(avatar_split_clause,[status(thm)],[f580,f1725,f1815]) ).

thf(f580,plain,
    ( ( ( eiw_di @ sK7 @ mactual )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f578]) ).

thf(f578,plain,
    ( ( $true
      = ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( eiw_di @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f91]) ).

thf(f91,plain,
    ( ( ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual )
        & ( eiw_di @ sK6 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f90]) ).

thf(f1859,plain,
    ( spl1_110
    | spl1_91 ),
    inference(avatar_split_clause,[status(thm)],[f582,f1720,f1815]) ).

thf(f582,plain,
    ( ( ( eiw_di @ sK7 @ mactual )
      = $true )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f579]) ).

thf(f579,plain,
    ( ( $true
      = ( ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( eiw_di @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f578]) ).

thf(f1858,plain,
    ( spl1_110
    | spl1_90 ),
    inference(avatar_split_clause,[status(thm)],[f584,f1715,f1815]) ).

thf(f584,plain,
    ( ( ( eiw_di @ sK7 @ mactual )
      = $true )
    | ( ( event @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f581]) ).

thf(f581,plain,
    ( ( ( eiw_di @ sK7 @ mactual )
      = $true )
    | ( ( ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f579]) ).

thf(f1857,plain,
    ( spl1_110
    | spl1_89 ),
    inference(avatar_split_clause,[status(thm)],[f586,f1710,f1815]) ).

thf(f586,plain,
    ( ( ( street @ sK4 @ mactual )
      = $true )
    | ( ( eiw_di @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f583]) ).

thf(f583,plain,
    ( ( ( ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f581]) ).

thf(f1856,plain,
    ( spl1_110
    | spl1_88 ),
    inference(avatar_split_clause,[status(thm)],[f588,f1705,f1815]) ).

thf(f588,plain,
    ( ( ( way @ sK4 @ mactual )
      = $true )
    | ( ( eiw_di @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f585]) ).

thf(f585,plain,
    ( ( ( ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f583]) ).

thf(f1855,plain,
    ( spl1_110
    | spl1_87 ),
    inference(avatar_split_clause,[status(thm)],[f590,f1700,f1815]) ).

thf(f590,plain,
    ( ( ( lonely @ sK4 @ mactual )
      = $true )
    | ( ( eiw_di @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f587]) ).

thf(f587,plain,
    ( ( ( eiw_di @ sK7 @ mactual )
      = $true )
    | ( ( ( lonely @ sK4 @ mactual )
        & ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f585]) ).

thf(f1854,plain,
    ( spl1_110
    | spl1_117 ),
    inference(avatar_split_clause,[status(thm)],[f592,f1851,f1815]) ).

thf(f592,plain,
    ( ( ( chevy @ sK6 @ mactual )
      = $true )
    | ( ( eiw_di @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f589]) ).

thf(f589,plain,
    ( ( ( ( chevy @ sK6 @ mactual )
        & ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f587]) ).

thf(f1849,plain,
    ( spl1_116
    | spl1_110 ),
    inference(avatar_split_clause,[status(thm)],[f594,f1815,f1846]) ).

thf(f594,plain,
    ( ( ( car @ sK6 @ mactual )
      = $true )
    | ( ( eiw_di @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f591]) ).

thf(f591,plain,
    ( ( ( eiw_di @ sK7 @ mactual )
      = $true )
    | ( ( ( car @ sK6 @ mactual )
        & ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f589]) ).

thf(f1844,plain,
    ( spl1_110
    | spl1_115 ),
    inference(avatar_split_clause,[status(thm)],[f596,f1841,f1815]) ).

thf(f596,plain,
    ( ( ( eiw_di @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( white @ sK6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f593]) ).

thf(f593,plain,
    ( ( ( eiw_di @ sK7 @ mactual )
      = $true )
    | ( ( ( white @ sK6 @ mactual )
        & ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f591]) ).

thf(f1839,plain,
    ( spl1_110
    | spl1_114 ),
    inference(avatar_split_clause,[status(thm)],[f598,f1836,f1815]) ).

thf(f598,plain,
    ( ( $true
      = ( dirty @ sK6 @ mactual ) )
    | ( ( eiw_di @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f595]) ).

thf(f595,plain,
    ( ( ( eiw_di @ sK7 @ mactual )
      = $true )
    | ( ( ( dirty @ sK6 @ mactual )
        & ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f593]) ).

thf(f1834,plain,
    ( spl1_113
    | spl1_110 ),
    inference(avatar_split_clause,[status(thm)],[f600,f1815,f1831]) ).

thf(f600,plain,
    ( ( ( old @ sK6 @ mactual )
      = $true )
    | ( ( eiw_di @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f597]) ).

thf(f597,plain,
    ( ( ( eiw_di @ sK7 @ mactual )
      = $true )
    | ( ( ( old @ sK6 @ mactual )
        & ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f595]) ).

thf(f1829,plain,
    ( spl1_112
    | spl1_110 ),
    inference(avatar_split_clause,[status(thm)],[f602,f1815,f1826]) ).

thf(f602,plain,
    ( ( ( barrel @ sK3 @ sK6 @ mactual )
      = $true )
    | ( ( eiw_di @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f599]) ).

thf(f599,plain,
    ( ( ( eiw_di @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( ( barrel @ sK3 @ sK6 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f597]) ).

thf(f1824,plain,
    ( spl1_110
    | spl1_80 ),
    inference(avatar_split_clause,[status(thm)],[f604,f1665,f1815]) ).

thf(f604,plain,
    ( ( ( down @ sK3 @ sK4 @ mactual )
      = $true )
    | ( ( eiw_di @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f601]) ).

thf(f601,plain,
    ( ( $true
      = ( ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( eiw_di @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f599]) ).

thf(f1823,plain,
    ( spl1_110
    | spl1_79 ),
    inference(avatar_split_clause,[status(thm)],[f603,f1660,f1815]) ).

thf(f603,plain,
    ( ( $true
      = ( in @ sK3 @ sK2 @ mactual ) )
    | ( ( eiw_di @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f601]) ).

thf(f1822,plain,
    ( spl1_110
    | spl1_111 ),
    inference(avatar_split_clause,[status(thm)],[f577,f1819,f1815]) ).

thf(f577,plain,
    ( ( ( eiw_di @ sK6 @ mactual )
      = $true )
    | ( ( eiw_di @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f91]) ).

thf(f1813,plain,
    ( spl1_77
    | spl1_109 ),
    inference(avatar_split_clause,[status(thm)],[f618,f1810,f1650]) ).

thf(f618,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( hollywood @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f616]) ).

thf(f616,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( ( ( hollywood @ sK5 @ mactual )
        & ( city @ sK5 @ mactual )
        & ( event @ sK11 @ mactual )
        & ( chevy @ sK12 @ mactual )
        & ( car @ sK12 @ mactual )
        & ( white @ sK12 @ mactual )
        & ( dirty @ sK12 @ mactual )
        & ( old @ sK12 @ mactual )
        & ( street @ sK13 @ mactual )
        & ( way @ sK13 @ mactual )
        & ( lonely @ sK13 @ mactual )
        & ( barrel @ sK11 @ sK12 @ mactual )
        & ( down @ sK11 @ sK13 @ mactual )
        & ( in @ sK11 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f614]) ).

thf(f614,plain,
    ( ( ( ( hollywood @ sK5 @ mactual )
        & ( city @ sK5 @ mactual )
        & ( event @ sK11 @ mactual )
        & ( chevy @ sK12 @ mactual )
        & ( car @ sK12 @ mactual )
        & ( white @ sK12 @ mactual )
        & ( dirty @ sK12 @ mactual )
        & ( old @ sK12 @ mactual )
        & ( street @ sK13 @ mactual )
        & ( way @ sK13 @ mactual )
        & ( lonely @ sK13 @ mactual )
        & ( barrel @ sK11 @ sK12 @ mactual )
        & ( down @ sK11 @ sK13 @ mactual )
        & ( in @ sK11 @ sK5 @ mactual )
        & ( eiw_di @ sK13 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK4 @ mactual )
      = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f613]) ).

thf(f613,plain,
    ( ( $true
      = ( ^ [Y0: $i] :
            ( ( hollywood @ sK5 @ mactual )
            & ( city @ sK5 @ mactual )
            & ( event @ sK11 @ mactual )
            & ( chevy @ sK12 @ mactual )
            & ( car @ sK12 @ mactual )
            & ( white @ sK12 @ mactual )
            & ( dirty @ sK12 @ mactual )
            & ( old @ sK12 @ mactual )
            & ( street @ Y0 @ mactual )
            & ( way @ Y0 @ mactual )
            & ( lonely @ Y0 @ mactual )
            & ( barrel @ sK11 @ sK12 @ mactual )
            & ( down @ sK11 @ Y0 @ mactual )
            & ( in @ sK11 @ sK5 @ mactual )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK13 ) )
    | ( ( eiw_di @ sK4 @ mactual )
      = $true ) ),
    inference(sigma_clausification,[status(thm)],[f612]) ).

thf(f612,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( hollywood @ sK5 @ mactual )
            & ( city @ sK5 @ mactual )
            & ( event @ sK11 @ mactual )
            & ( chevy @ sK12 @ mactual )
            & ( car @ sK12 @ mactual )
            & ( white @ sK12 @ mactual )
            & ( dirty @ sK12 @ mactual )
            & ( old @ sK12 @ mactual )
            & ( street @ Y0 @ mactual )
            & ( way @ Y0 @ mactual )
            & ( lonely @ Y0 @ mactual )
            & ( barrel @ sK11 @ sK12 @ mactual )
            & ( down @ sK11 @ Y0 @ mactual )
            & ( in @ sK11 @ sK5 @ mactual )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | ( ( eiw_di @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f610]) ).

thf(f610,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ sK5 @ mactual )
              & ( city @ sK5 @ mactual )
              & ( event @ sK11 @ mactual )
              & ( chevy @ sK12 @ mactual )
              & ( car @ sK12 @ mactual )
              & ( white @ sK12 @ mactual )
              & ( dirty @ sK12 @ mactual )
              & ( old @ sK12 @ mactual )
              & ( street @ Y0 @ mactual )
              & ( way @ Y0 @ mactual )
              & ( lonely @ Y0 @ mactual )
              & ( barrel @ sK11 @ sK12 @ mactual )
              & ( down @ sK11 @ Y0 @ mactual )
              & ( in @ sK11 @ sK5 @ mactual )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK12 @ mactual ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f609]) ).

thf(f609,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( hollywood @ sK5 @ mactual )
                  & ( city @ sK5 @ mactual )
                  & ( event @ sK11 @ mactual )
                  & ( chevy @ Y0 @ mactual )
                  & ( car @ Y0 @ mactual )
                  & ( white @ Y0 @ mactual )
                  & ( dirty @ Y0 @ mactual )
                  & ( old @ Y0 @ mactual )
                  & ( street @ Y1 @ mactual )
                  & ( way @ Y1 @ mactual )
                  & ( lonely @ Y1 @ mactual )
                  & ( barrel @ sK11 @ Y0 @ mactual )
                  & ( down @ sK11 @ Y1 @ mactual )
                  & ( in @ sK11 @ sK5 @ mactual )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK12 )
      = $true ) ),
    inference(sigma_clausification,[status(thm)],[f608]) ).

thf(f608,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( hollywood @ sK5 @ mactual )
                  & ( city @ sK5 @ mactual )
                  & ( event @ sK11 @ mactual )
                  & ( chevy @ Y0 @ mactual )
                  & ( car @ Y0 @ mactual )
                  & ( white @ Y0 @ mactual )
                  & ( dirty @ Y0 @ mactual )
                  & ( old @ Y0 @ mactual )
                  & ( street @ Y1 @ mactual )
                  & ( way @ Y1 @ mactual )
                  & ( lonely @ Y1 @ mactual )
                  & ( barrel @ sK11 @ Y0 @ mactual )
                  & ( down @ sK11 @ Y1 @ mactual )
                  & ( in @ sK11 @ sK5 @ mactual )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | ( ( eiw_di @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f606]) ).

thf(f606,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( hollywood @ sK5 @ mactual )
                    & ( city @ sK5 @ mactual )
                    & ( event @ sK11 @ mactual )
                    & ( chevy @ Y0 @ mactual )
                    & ( car @ Y0 @ mactual )
                    & ( white @ Y0 @ mactual )
                    & ( dirty @ Y0 @ mactual )
                    & ( old @ Y0 @ mactual )
                    & ( street @ Y1 @ mactual )
                    & ( way @ Y1 @ mactual )
                    & ( lonely @ Y1 @ mactual )
                    & ( barrel @ sK11 @ Y0 @ mactual )
                    & ( down @ sK11 @ Y1 @ mactual )
                    & ( in @ sK11 @ sK5 @ mactual )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK11 @ mactual ) )
      = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f605]) ).

thf(f605,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( hollywood @ sK5 @ mactual )
                        & ( city @ sK5 @ mactual )
                        & ( event @ Y0 @ mactual )
                        & ( chevy @ Y1 @ mactual )
                        & ( car @ Y1 @ mactual )
                        & ( white @ Y1 @ mactual )
                        & ( dirty @ Y1 @ mactual )
                        & ( old @ Y1 @ mactual )
                        & ( street @ Y2 @ mactual )
                        & ( way @ Y2 @ mactual )
                        & ( lonely @ Y2 @ mactual )
                        & ( barrel @ Y0 @ Y1 @ mactual )
                        & ( down @ Y0 @ Y2 @ mactual )
                        & ( in @ Y0 @ sK5 @ mactual )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK11 ) ) ),
    inference(sigma_clausification,[status(thm)],[f85]) ).

thf(f85,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( hollywood @ sK5 @ mactual )
                        & ( city @ sK5 @ mactual )
                        & ( event @ Y0 @ mactual )
                        & ( chevy @ Y1 @ mactual )
                        & ( car @ Y1 @ mactual )
                        & ( white @ Y1 @ mactual )
                        & ( dirty @ Y1 @ mactual )
                        & ( old @ Y1 @ mactual )
                        & ( street @ Y2 @ mactual )
                        & ( way @ Y2 @ mactual )
                        & ( lonely @ Y2 @ mactual )
                        & ( barrel @ Y0 @ Y1 @ mactual )
                        & ( down @ Y0 @ Y2 @ mactual )
                        & ( in @ Y0 @ sK5 @ mactual )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f84]) ).

thf(f1808,plain,
    ( spl1_108
    | spl1_77 ),
    inference(avatar_split_clause,[status(thm)],[f620,f1650,f1805]) ).

thf(f620,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( ( city @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f617]) ).

thf(f617,plain,
    ( ( ( ( city @ sK5 @ mactual )
        & ( event @ sK11 @ mactual )
        & ( chevy @ sK12 @ mactual )
        & ( car @ sK12 @ mactual )
        & ( white @ sK12 @ mactual )
        & ( dirty @ sK12 @ mactual )
        & ( old @ sK12 @ mactual )
        & ( street @ sK13 @ mactual )
        & ( way @ sK13 @ mactual )
        & ( lonely @ sK13 @ mactual )
        & ( barrel @ sK11 @ sK12 @ mactual )
        & ( down @ sK11 @ sK13 @ mactual )
        & ( in @ sK11 @ sK5 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f616]) ).

thf(f1803,plain,
    ( spl1_77
    | spl1_107 ),
    inference(avatar_split_clause,[status(thm)],[f622,f1800,f1650]) ).

thf(f622,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( ( event @ sK11 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f619]) ).

thf(f619,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( ( ( event @ sK11 @ mactual )
        & ( chevy @ sK12 @ mactual )
        & ( car @ sK12 @ mactual )
        & ( white @ sK12 @ mactual )
        & ( dirty @ sK12 @ mactual )
        & ( old @ sK12 @ mactual )
        & ( street @ sK13 @ mactual )
        & ( way @ sK13 @ mactual )
        & ( lonely @ sK13 @ mactual )
        & ( barrel @ sK11 @ sK12 @ mactual )
        & ( down @ sK11 @ sK13 @ mactual )
        & ( in @ sK11 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f617]) ).

thf(f1798,plain,
    ( spl1_77
    | spl1_106 ),
    inference(avatar_split_clause,[status(thm)],[f624,f1795,f1650]) ).

thf(f624,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( ( chevy @ sK12 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f621]) ).

thf(f621,plain,
    ( ( ( ( chevy @ sK12 @ mactual )
        & ( car @ sK12 @ mactual )
        & ( white @ sK12 @ mactual )
        & ( dirty @ sK12 @ mactual )
        & ( old @ sK12 @ mactual )
        & ( street @ sK13 @ mactual )
        & ( way @ sK13 @ mactual )
        & ( lonely @ sK13 @ mactual )
        & ( barrel @ sK11 @ sK12 @ mactual )
        & ( down @ sK11 @ sK13 @ mactual )
        & ( in @ sK11 @ sK5 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f619]) ).

thf(f1793,plain,
    ( spl1_105
    | spl1_77 ),
    inference(avatar_split_clause,[status(thm)],[f626,f1650,f1790]) ).

thf(f626,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( ( car @ sK12 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f623]) ).

thf(f623,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( ( car @ sK12 @ mactual )
        & ( white @ sK12 @ mactual )
        & ( dirty @ sK12 @ mactual )
        & ( old @ sK12 @ mactual )
        & ( street @ sK13 @ mactual )
        & ( way @ sK13 @ mactual )
        & ( lonely @ sK13 @ mactual )
        & ( barrel @ sK11 @ sK12 @ mactual )
        & ( down @ sK11 @ sK13 @ mactual )
        & ( in @ sK11 @ sK5 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f621]) ).

thf(f1788,plain,
    ( spl1_77
    | spl1_104 ),
    inference(avatar_split_clause,[status(thm)],[f628,f1785,f1650]) ).

thf(f628,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( white @ sK12 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f625]) ).

thf(f625,plain,
    ( ( ( ( white @ sK12 @ mactual )
        & ( dirty @ sK12 @ mactual )
        & ( old @ sK12 @ mactual )
        & ( street @ sK13 @ mactual )
        & ( way @ sK13 @ mactual )
        & ( lonely @ sK13 @ mactual )
        & ( barrel @ sK11 @ sK12 @ mactual )
        & ( down @ sK11 @ sK13 @ mactual )
        & ( in @ sK11 @ sK5 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f623]) ).

thf(f1783,plain,
    ( spl1_77
    | spl1_103 ),
    inference(avatar_split_clause,[status(thm)],[f630,f1780,f1650]) ).

thf(f630,plain,
    ( ( ( dirty @ sK12 @ mactual )
      = $true )
    | ( ( eiw_di @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f627]) ).

thf(f627,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( ( ( dirty @ sK12 @ mactual )
        & ( old @ sK12 @ mactual )
        & ( street @ sK13 @ mactual )
        & ( way @ sK13 @ mactual )
        & ( lonely @ sK13 @ mactual )
        & ( barrel @ sK11 @ sK12 @ mactual )
        & ( down @ sK11 @ sK13 @ mactual )
        & ( in @ sK11 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f625]) ).

thf(f1778,plain,
    ( spl1_77
    | spl1_102 ),
    inference(avatar_split_clause,[status(thm)],[f632,f1775,f1650]) ).

thf(f632,plain,
    ( ( $true
      = ( old @ sK12 @ mactual ) )
    | ( ( eiw_di @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f629]) ).

thf(f629,plain,
    ( ( ( ( old @ sK12 @ mactual )
        & ( street @ sK13 @ mactual )
        & ( way @ sK13 @ mactual )
        & ( lonely @ sK13 @ mactual )
        & ( barrel @ sK11 @ sK12 @ mactual )
        & ( down @ sK11 @ sK13 @ mactual )
        & ( in @ sK11 @ sK5 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f627]) ).

thf(f1773,plain,
    ( spl1_101
    | spl1_77 ),
    inference(avatar_split_clause,[status(thm)],[f634,f1650,f1770]) ).

thf(f634,plain,
    ( ( ( street @ sK13 @ mactual )
      = $true )
    | ( ( eiw_di @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f631]) ).

thf(f631,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( ( ( street @ sK13 @ mactual )
        & ( way @ sK13 @ mactual )
        & ( lonely @ sK13 @ mactual )
        & ( barrel @ sK11 @ sK12 @ mactual )
        & ( down @ sK11 @ sK13 @ mactual )
        & ( in @ sK11 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f629]) ).

thf(f1768,plain,
    ( spl1_77
    | spl1_100 ),
    inference(avatar_split_clause,[status(thm)],[f636,f1765,f1650]) ).

thf(f636,plain,
    ( ( ( way @ sK13 @ mactual )
      = $true )
    | ( ( eiw_di @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f633]) ).

thf(f633,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( ( ( way @ sK13 @ mactual )
        & ( lonely @ sK13 @ mactual )
        & ( barrel @ sK11 @ sK12 @ mactual )
        & ( down @ sK11 @ sK13 @ mactual )
        & ( in @ sK11 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f631]) ).

thf(f1763,plain,
    ( spl1_99
    | spl1_77 ),
    inference(avatar_split_clause,[status(thm)],[f638,f1650,f1760]) ).

thf(f638,plain,
    ( ( ( lonely @ sK13 @ mactual )
      = $true )
    | ( ( eiw_di @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f635]) ).

thf(f635,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( ( ( lonely @ sK13 @ mactual )
        & ( barrel @ sK11 @ sK12 @ mactual )
        & ( down @ sK11 @ sK13 @ mactual )
        & ( in @ sK11 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f633]) ).

thf(f1758,plain,
    ( spl1_98
    | spl1_77 ),
    inference(avatar_split_clause,[status(thm)],[f640,f1650,f1755]) ).

thf(f640,plain,
    ( ( ( barrel @ sK11 @ sK12 @ mactual )
      = $true )
    | ( ( eiw_di @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f637]) ).

thf(f637,plain,
    ( ( ( ( barrel @ sK11 @ sK12 @ mactual )
        & ( down @ sK11 @ sK13 @ mactual )
        & ( in @ sK11 @ sK5 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f635]) ).

thf(f1753,plain,
    ( spl1_77
    | spl1_97 ),
    inference(avatar_split_clause,[status(thm)],[f642,f1750,f1650]) ).

thf(f642,plain,
    ( ( ( down @ sK11 @ sK13 @ mactual )
      = $true )
    | ( ( eiw_di @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f639]) ).

thf(f639,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( ( ( down @ sK11 @ sK13 @ mactual )
        & ( in @ sK11 @ sK5 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f637]) ).

thf(f1748,plain,
    ( spl1_77
    | spl1_96 ),
    inference(avatar_split_clause,[status(thm)],[f641,f1745,f1650]) ).

thf(f641,plain,
    ( ( ( in @ sK11 @ sK5 @ mactual )
      = $true )
    | ( ( eiw_di @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f639]) ).

thf(f1743,plain,
    ( spl1_77
    | spl1_95 ),
    inference(avatar_split_clause,[status(thm)],[f615,f1740,f1650]) ).

thf(f615,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( eiw_di @ sK13 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f614]) ).

thf(f1738,plain,
    ( spl1_94
    | spl1_77 ),
    inference(avatar_split_clause,[status(thm)],[f611,f1650,f1735]) ).

thf(f611,plain,
    ( ( $true
      = ( eiw_di @ sK12 @ mactual ) )
    | ( ( eiw_di @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f610]) ).

thf(f1733,plain,
    ( spl1_93
    | spl1_77 ),
    inference(avatar_split_clause,[status(thm)],[f607,f1650,f1730]) ).

thf(f607,plain,
    ( ( ( eiw_di @ sK11 @ mactual )
      = $true )
    | ( ( eiw_di @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f606]) ).

thf(f1728,plain,
    ( spl1_76
    | spl1_92 ),
    inference(avatar_split_clause,[status(thm)],[f650,f1725,f1646]) ).

thf(f650,plain,
    ( ( ( eiw_di @ sK5 @ mactual )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f648]) ).

thf(f648,plain,
    ( ( ( eiw_di @ sK5 @ mactual )
      = $true )
    | ( $true
      = ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK14 @ mactual )
        & ( car @ sK14 @ mactual )
        & ( white @ sK14 @ mactual )
        & ( dirty @ sK14 @ mactual )
        & ( old @ sK14 @ mactual )
        & ( barrel @ sK3 @ sK14 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f646]) ).

thf(f646,plain,
    ( ( ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK14 @ mactual )
        & ( car @ sK14 @ mactual )
        & ( white @ sK14 @ mactual )
        & ( dirty @ sK14 @ mactual )
        & ( old @ sK14 @ mactual )
        & ( barrel @ sK3 @ sK14 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual )
        & ( eiw_di @ sK14 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f645]) ).

thf(f645,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( hollywood @ sK2 @ mactual )
            & ( city @ sK2 @ mactual )
            & ( event @ sK3 @ mactual )
            & ( street @ sK4 @ mactual )
            & ( way @ sK4 @ mactual )
            & ( lonely @ sK4 @ mactual )
            & ( chevy @ Y0 @ mactual )
            & ( car @ Y0 @ mactual )
            & ( white @ Y0 @ mactual )
            & ( dirty @ Y0 @ mactual )
            & ( old @ Y0 @ mactual )
            & ( barrel @ sK3 @ Y0 @ mactual )
            & ( down @ sK3 @ sK4 @ mactual )
            & ( in @ sK3 @ sK2 @ mactual )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK14 )
      = $true )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(sigma_clausification,[status(thm)],[f644]) ).

thf(f644,plain,
    ( ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( hollywood @ sK2 @ mactual )
            & ( city @ sK2 @ mactual )
            & ( event @ sK3 @ mactual )
            & ( street @ sK4 @ mactual )
            & ( way @ sK4 @ mactual )
            & ( lonely @ sK4 @ mactual )
            & ( chevy @ Y0 @ mactual )
            & ( car @ Y0 @ mactual )
            & ( white @ Y0 @ mactual )
            & ( dirty @ Y0 @ mactual )
            & ( old @ Y0 @ mactual )
            & ( barrel @ sK3 @ Y0 @ mactual )
            & ( down @ sK3 @ sK4 @ mactual )
            & ( in @ sK3 @ sK2 @ mactual )
            & ( eiw_di @ Y0 @ mactual ) ) ) )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f83]) ).

thf(f83,plain,
    ( ( ( eiw_di @ sK5 @ mactual )
      = $true )
    | ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ sK2 @ mactual )
              & ( city @ sK2 @ mactual )
              & ( event @ sK3 @ mactual )
              & ( street @ sK4 @ mactual )
              & ( way @ sK4 @ mactual )
              & ( lonely @ sK4 @ mactual )
              & ( chevy @ Y0 @ mactual )
              & ( car @ Y0 @ mactual )
              & ( white @ Y0 @ mactual )
              & ( dirty @ Y0 @ mactual )
              & ( old @ Y0 @ mactual )
              & ( barrel @ sK3 @ Y0 @ mactual )
              & ( down @ sK3 @ sK4 @ mactual )
              & ( in @ sK3 @ sK2 @ mactual )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK4 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f82]) ).

thf(f1723,plain,
    ( spl1_91
    | spl1_76 ),
    inference(avatar_split_clause,[status(thm)],[f652,f1646,f1720]) ).

thf(f652,plain,
    ( ( ( eiw_di @ sK5 @ mactual )
      = $true )
    | ( ( city @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f649]) ).

thf(f649,plain,
    ( ( $true
      = ( ( city @ sK2 @ mactual )
        & ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK14 @ mactual )
        & ( car @ sK14 @ mactual )
        & ( white @ sK14 @ mactual )
        & ( dirty @ sK14 @ mactual )
        & ( old @ sK14 @ mactual )
        & ( barrel @ sK3 @ sK14 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f648]) ).

thf(f1718,plain,
    ( spl1_76
    | spl1_90 ),
    inference(avatar_split_clause,[status(thm)],[f654,f1715,f1646]) ).

thf(f654,plain,
    ( ( ( eiw_di @ sK5 @ mactual )
      = $true )
    | ( ( event @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f651]) ).

thf(f651,plain,
    ( ( ( ( event @ sK3 @ mactual )
        & ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK14 @ mactual )
        & ( car @ sK14 @ mactual )
        & ( white @ sK14 @ mactual )
        & ( dirty @ sK14 @ mactual )
        & ( old @ sK14 @ mactual )
        & ( barrel @ sK3 @ sK14 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f649]) ).

thf(f1713,plain,
    ( spl1_89
    | spl1_76 ),
    inference(avatar_split_clause,[status(thm)],[f656,f1646,f1710]) ).

thf(f656,plain,
    ( ( ( eiw_di @ sK5 @ mactual )
      = $true )
    | ( ( street @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f653]) ).

thf(f653,plain,
    ( ( ( eiw_di @ sK5 @ mactual )
      = $true )
    | ( ( ( street @ sK4 @ mactual )
        & ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK14 @ mactual )
        & ( car @ sK14 @ mactual )
        & ( white @ sK14 @ mactual )
        & ( dirty @ sK14 @ mactual )
        & ( old @ sK14 @ mactual )
        & ( barrel @ sK3 @ sK14 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f651]) ).

thf(f1708,plain,
    ( spl1_88
    | spl1_76 ),
    inference(avatar_split_clause,[status(thm)],[f658,f1646,f1705]) ).

thf(f658,plain,
    ( ( ( eiw_di @ sK5 @ mactual )
      = $true )
    | ( ( way @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f655]) ).

thf(f655,plain,
    ( ( ( ( way @ sK4 @ mactual )
        & ( lonely @ sK4 @ mactual )
        & ( chevy @ sK14 @ mactual )
        & ( car @ sK14 @ mactual )
        & ( white @ sK14 @ mactual )
        & ( dirty @ sK14 @ mactual )
        & ( old @ sK14 @ mactual )
        & ( barrel @ sK3 @ sK14 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f653]) ).

thf(f1703,plain,
    ( spl1_76
    | spl1_87 ),
    inference(avatar_split_clause,[status(thm)],[f660,f1700,f1646]) ).

thf(f660,plain,
    ( ( ( lonely @ sK4 @ mactual )
      = $true )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f657]) ).

thf(f657,plain,
    ( ( ( eiw_di @ sK5 @ mactual )
      = $true )
    | ( ( ( lonely @ sK4 @ mactual )
        & ( chevy @ sK14 @ mactual )
        & ( car @ sK14 @ mactual )
        & ( white @ sK14 @ mactual )
        & ( dirty @ sK14 @ mactual )
        & ( old @ sK14 @ mactual )
        & ( barrel @ sK3 @ sK14 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f655]) ).

thf(f1698,plain,
    ( spl1_86
    | spl1_76 ),
    inference(avatar_split_clause,[status(thm)],[f662,f1646,f1695]) ).

thf(f662,plain,
    ( ( $true
      = ( chevy @ sK14 @ mactual ) )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f659]) ).

thf(f659,plain,
    ( ( ( eiw_di @ sK5 @ mactual )
      = $true )
    | ( $true
      = ( ( chevy @ sK14 @ mactual )
        & ( car @ sK14 @ mactual )
        & ( white @ sK14 @ mactual )
        & ( dirty @ sK14 @ mactual )
        & ( old @ sK14 @ mactual )
        & ( barrel @ sK3 @ sK14 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f657]) ).

thf(f1693,plain,
    ( spl1_85
    | spl1_76 ),
    inference(avatar_split_clause,[status(thm)],[f664,f1646,f1690]) ).

thf(f664,plain,
    ( ( ( car @ sK14 @ mactual )
      = $true )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f661]) ).

thf(f661,plain,
    ( ( ( ( car @ sK14 @ mactual )
        & ( white @ sK14 @ mactual )
        & ( dirty @ sK14 @ mactual )
        & ( old @ sK14 @ mactual )
        & ( barrel @ sK3 @ sK14 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f659]) ).

thf(f1688,plain,
    ( spl1_76
    | spl1_84 ),
    inference(avatar_split_clause,[status(thm)],[f666,f1685,f1646]) ).

thf(f666,plain,
    ( ( ( eiw_di @ sK5 @ mactual )
      = $true )
    | ( ( white @ sK14 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f663]) ).

thf(f663,plain,
    ( ( ( ( white @ sK14 @ mactual )
        & ( dirty @ sK14 @ mactual )
        & ( old @ sK14 @ mactual )
        & ( barrel @ sK3 @ sK14 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f661]) ).

thf(f1683,plain,
    ( spl1_76
    | spl1_83 ),
    inference(avatar_split_clause,[status(thm)],[f668,f1680,f1646]) ).

thf(f668,plain,
    ( ( ( dirty @ sK14 @ mactual )
      = $true )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f665]) ).

thf(f665,plain,
    ( ( $true
      = ( ( dirty @ sK14 @ mactual )
        & ( old @ sK14 @ mactual )
        & ( barrel @ sK3 @ sK14 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f663]) ).

thf(f1678,plain,
    ( spl1_82
    | spl1_76 ),
    inference(avatar_split_clause,[status(thm)],[f670,f1646,f1675]) ).

thf(f670,plain,
    ( ( ( old @ sK14 @ mactual )
      = $true )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f667]) ).

thf(f667,plain,
    ( ( $true
      = ( ( old @ sK14 @ mactual )
        & ( barrel @ sK3 @ sK14 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f665]) ).

thf(f1673,plain,
    ( spl1_76
    | spl1_81 ),
    inference(avatar_split_clause,[status(thm)],[f672,f1670,f1646]) ).

thf(f672,plain,
    ( ( $true
      = ( barrel @ sK3 @ sK14 @ mactual ) )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f669]) ).

thf(f669,plain,
    ( ( ( ( barrel @ sK3 @ sK14 @ mactual )
        & ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f667]) ).

thf(f1668,plain,
    ( spl1_76
    | spl1_80 ),
    inference(avatar_split_clause,[status(thm)],[f674,f1665,f1646]) ).

thf(f674,plain,
    ( ( ( down @ sK3 @ sK4 @ mactual )
      = $true )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f671]) ).

thf(f671,plain,
    ( ( $true
      = ( ( down @ sK3 @ sK4 @ mactual )
        & ( in @ sK3 @ sK2 @ mactual ) ) )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f669]) ).

thf(f1663,plain,
    ( spl1_79
    | spl1_76 ),
    inference(avatar_split_clause,[status(thm)],[f673,f1646,f1660]) ).

thf(f673,plain,
    ( ( $true
      = ( in @ sK3 @ sK2 @ mactual ) )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f671]) ).

thf(f1658,plain,
    ( spl1_78
    | spl1_76 ),
    inference(avatar_split_clause,[status(thm)],[f647,f1646,f1655]) ).

thf(f647,plain,
    ( ( ( eiw_di @ sK14 @ mactual )
      = $true )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f646]) ).

thf(f1653,plain,
    ( spl1_76
    | spl1_77 ),
    inference(avatar_split_clause,[status(thm)],[f643,f1650,f1646]) ).

thf(f643,plain,
    ( ( ( eiw_di @ sK4 @ mactual )
      = $true )
    | ( ( eiw_di @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f83]) ).

thf(f1644,plain,
    ( spl1_58
    | spl1_75 ),
    inference(avatar_split_clause,[status(thm)],[f692,f1641,f1556]) ).

thf(f692,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( ( hollywood @ sK15 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f690]) ).

thf(f690,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( ( ( hollywood @ sK15 @ mactual )
        & ( city @ sK15 @ mactual )
        & ( event @ sK16 @ mactual )
        & ( chevy @ sK17 @ mactual )
        & ( car @ sK17 @ mactual )
        & ( white @ sK17 @ mactual )
        & ( dirty @ sK17 @ mactual )
        & ( old @ sK17 @ mactual )
        & ( street @ sK18 @ mactual )
        & ( way @ sK18 @ mactual )
        & ( lonely @ sK18 @ mactual )
        & ( barrel @ sK16 @ sK17 @ mactual )
        & ( down @ sK16 @ sK18 @ mactual )
        & ( in @ sK16 @ sK15 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f688]) ).

thf(f688,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( $true
      = ( ( hollywood @ sK15 @ mactual )
        & ( city @ sK15 @ mactual )
        & ( event @ sK16 @ mactual )
        & ( chevy @ sK17 @ mactual )
        & ( car @ sK17 @ mactual )
        & ( white @ sK17 @ mactual )
        & ( dirty @ sK17 @ mactual )
        & ( old @ sK17 @ mactual )
        & ( street @ sK18 @ mactual )
        & ( way @ sK18 @ mactual )
        & ( lonely @ sK18 @ mactual )
        & ( barrel @ sK16 @ sK17 @ mactual )
        & ( down @ sK16 @ sK18 @ mactual )
        & ( in @ sK16 @ sK15 @ mactual )
        & ( eiw_di @ sK18 @ mactual ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f687]) ).

thf(f687,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( ( ^ [Y0: $i] :
            ( ( hollywood @ sK15 @ mactual )
            & ( city @ sK15 @ mactual )
            & ( event @ sK16 @ mactual )
            & ( chevy @ sK17 @ mactual )
            & ( car @ sK17 @ mactual )
            & ( white @ sK17 @ mactual )
            & ( dirty @ sK17 @ mactual )
            & ( old @ sK17 @ mactual )
            & ( street @ Y0 @ mactual )
            & ( way @ Y0 @ mactual )
            & ( lonely @ Y0 @ mactual )
            & ( barrel @ sK16 @ sK17 @ mactual )
            & ( down @ sK16 @ Y0 @ mactual )
            & ( in @ sK16 @ sK15 @ mactual )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK18 )
      = $true ) ),
    inference(sigma_clausification,[status(thm)],[f686]) ).

thf(f686,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( hollywood @ sK15 @ mactual )
            & ( city @ sK15 @ mactual )
            & ( event @ sK16 @ mactual )
            & ( chevy @ sK17 @ mactual )
            & ( car @ sK17 @ mactual )
            & ( white @ sK17 @ mactual )
            & ( dirty @ sK17 @ mactual )
            & ( old @ sK17 @ mactual )
            & ( street @ Y0 @ mactual )
            & ( way @ Y0 @ mactual )
            & ( lonely @ Y0 @ mactual )
            & ( barrel @ sK16 @ sK17 @ mactual )
            & ( down @ sK16 @ Y0 @ mactual )
            & ( in @ sK16 @ sK15 @ mactual )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f684]) ).

thf(f684,plain,
    ( ( $true
      = ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ sK15 @ mactual )
              & ( city @ sK15 @ mactual )
              & ( event @ sK16 @ mactual )
              & ( chevy @ sK17 @ mactual )
              & ( car @ sK17 @ mactual )
              & ( white @ sK17 @ mactual )
              & ( dirty @ sK17 @ mactual )
              & ( old @ sK17 @ mactual )
              & ( street @ Y0 @ mactual )
              & ( way @ Y0 @ mactual )
              & ( lonely @ Y0 @ mactual )
              & ( barrel @ sK16 @ sK17 @ mactual )
              & ( down @ sK16 @ Y0 @ mactual )
              & ( in @ sK16 @ sK15 @ mactual )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK17 @ mactual ) ) )
    | ( ( eiw_di @ sK3 @ mactual )
      = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f683]) ).

thf(f683,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( hollywood @ sK15 @ mactual )
                  & ( city @ sK15 @ mactual )
                  & ( event @ sK16 @ mactual )
                  & ( chevy @ Y0 @ mactual )
                  & ( car @ Y0 @ mactual )
                  & ( white @ Y0 @ mactual )
                  & ( dirty @ Y0 @ mactual )
                  & ( old @ Y0 @ mactual )
                  & ( street @ Y1 @ mactual )
                  & ( way @ Y1 @ mactual )
                  & ( lonely @ Y1 @ mactual )
                  & ( barrel @ sK16 @ Y0 @ mactual )
                  & ( down @ sK16 @ Y1 @ mactual )
                  & ( in @ sK16 @ sK15 @ mactual )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK17 )
      = $true ) ),
    inference(sigma_clausification,[status(thm)],[f682]) ).

thf(f682,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( hollywood @ sK15 @ mactual )
                  & ( city @ sK15 @ mactual )
                  & ( event @ sK16 @ mactual )
                  & ( chevy @ Y0 @ mactual )
                  & ( car @ Y0 @ mactual )
                  & ( white @ Y0 @ mactual )
                  & ( dirty @ Y0 @ mactual )
                  & ( old @ Y0 @ mactual )
                  & ( street @ Y1 @ mactual )
                  & ( way @ Y1 @ mactual )
                  & ( lonely @ Y1 @ mactual )
                  & ( barrel @ sK16 @ Y0 @ mactual )
                  & ( down @ sK16 @ Y1 @ mactual )
                  & ( in @ sK16 @ sK15 @ mactual )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f680]) ).

thf(f680,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( hollywood @ sK15 @ mactual )
                    & ( city @ sK15 @ mactual )
                    & ( event @ sK16 @ mactual )
                    & ( chevy @ Y0 @ mactual )
                    & ( car @ Y0 @ mactual )
                    & ( white @ Y0 @ mactual )
                    & ( dirty @ Y0 @ mactual )
                    & ( old @ Y0 @ mactual )
                    & ( street @ Y1 @ mactual )
                    & ( way @ Y1 @ mactual )
                    & ( lonely @ Y1 @ mactual )
                    & ( barrel @ sK16 @ Y0 @ mactual )
                    & ( down @ sK16 @ Y1 @ mactual )
                    & ( in @ sK16 @ sK15 @ mactual )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK16 @ mactual ) )
      = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f679]) ).

thf(f679,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( hollywood @ sK15 @ mactual )
                        & ( city @ sK15 @ mactual )
                        & ( event @ Y0 @ mactual )
                        & ( chevy @ Y1 @ mactual )
                        & ( car @ Y1 @ mactual )
                        & ( white @ Y1 @ mactual )
                        & ( dirty @ Y1 @ mactual )
                        & ( old @ Y1 @ mactual )
                        & ( street @ Y2 @ mactual )
                        & ( way @ Y2 @ mactual )
                        & ( lonely @ Y2 @ mactual )
                        & ( barrel @ Y0 @ Y1 @ mactual )
                        & ( down @ Y0 @ Y2 @ mactual )
                        & ( in @ Y0 @ sK15 @ mactual )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK16 )
      = $true ) ),
    inference(sigma_clausification,[status(thm)],[f678]) ).

thf(f678,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( hollywood @ sK15 @ mactual )
                        & ( city @ sK15 @ mactual )
                        & ( event @ Y0 @ mactual )
                        & ( chevy @ Y1 @ mactual )
                        & ( car @ Y1 @ mactual )
                        & ( white @ Y1 @ mactual )
                        & ( dirty @ Y1 @ mactual )
                        & ( old @ Y1 @ mactual )
                        & ( street @ Y2 @ mactual )
                        & ( way @ Y2 @ mactual )
                        & ( lonely @ Y2 @ mactual )
                        & ( barrel @ Y0 @ Y1 @ mactual )
                        & ( down @ Y0 @ Y2 @ mactual )
                        & ( in @ Y0 @ sK15 @ mactual )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f676]) ).

thf(f676,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( hollywood @ sK15 @ mactual )
                          & ( city @ sK15 @ mactual )
                          & ( event @ Y0 @ mactual )
                          & ( chevy @ Y1 @ mactual )
                          & ( car @ Y1 @ mactual )
                          & ( white @ Y1 @ mactual )
                          & ( dirty @ Y1 @ mactual )
                          & ( old @ Y1 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( barrel @ Y0 @ Y1 @ mactual )
                          & ( down @ Y0 @ Y2 @ mactual )
                          & ( in @ Y0 @ sK15 @ mactual )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK15 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK3 @ mactual )
      = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f675]) ).

thf(f675,plain,
    ( ( $true
      = ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( hollywood @ Y0 @ mactual )
                              & ( city @ Y0 @ mactual )
                              & ( event @ Y1 @ mactual )
                              & ( chevy @ Y2 @ mactual )
                              & ( car @ Y2 @ mactual )
                              & ( white @ Y2 @ mactual )
                              & ( dirty @ Y2 @ mactual )
                              & ( old @ Y2 @ mactual )
                              & ( street @ Y3 @ mactual )
                              & ( way @ Y3 @ mactual )
                              & ( lonely @ Y3 @ mactual )
                              & ( barrel @ Y1 @ Y2 @ mactual )
                              & ( down @ Y1 @ Y3 @ mactual )
                              & ( in @ Y1 @ Y0 @ mactual )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK15 ) )
    | ( ( eiw_di @ sK3 @ mactual )
      = $true ) ),
    inference(sigma_clausification,[status(thm)],[f77]) ).

thf(f77,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( hollywood @ Y0 @ mactual )
                              & ( city @ Y0 @ mactual )
                              & ( event @ Y1 @ mactual )
                              & ( chevy @ Y2 @ mactual )
                              & ( car @ Y2 @ mactual )
                              & ( white @ Y2 @ mactual )
                              & ( dirty @ Y2 @ mactual )
                              & ( old @ Y2 @ mactual )
                              & ( street @ Y3 @ mactual )
                              & ( way @ Y3 @ mactual )
                              & ( lonely @ Y3 @ mactual )
                              & ( barrel @ Y1 @ Y2 @ mactual )
                              & ( down @ Y1 @ Y3 @ mactual )
                              & ( in @ Y1 @ Y0 @ mactual )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | ( ( eiw_di @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f76]) ).

thf(f1639,plain,
    ( spl1_74
    | spl1_58 ),
    inference(avatar_split_clause,[status(thm)],[f694,f1556,f1636]) ).

thf(f694,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( ( city @ sK15 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f691]) ).

thf(f691,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( ( ( city @ sK15 @ mactual )
        & ( event @ sK16 @ mactual )
        & ( chevy @ sK17 @ mactual )
        & ( car @ sK17 @ mactual )
        & ( white @ sK17 @ mactual )
        & ( dirty @ sK17 @ mactual )
        & ( old @ sK17 @ mactual )
        & ( street @ sK18 @ mactual )
        & ( way @ sK18 @ mactual )
        & ( lonely @ sK18 @ mactual )
        & ( barrel @ sK16 @ sK17 @ mactual )
        & ( down @ sK16 @ sK18 @ mactual )
        & ( in @ sK16 @ sK15 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f690]) ).

thf(f1634,plain,
    ( spl1_58
    | spl1_73 ),
    inference(avatar_split_clause,[status(thm)],[f696,f1631,f1556]) ).

thf(f696,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( ( event @ sK16 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f693]) ).

thf(f693,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( ( ( event @ sK16 @ mactual )
        & ( chevy @ sK17 @ mactual )
        & ( car @ sK17 @ mactual )
        & ( white @ sK17 @ mactual )
        & ( dirty @ sK17 @ mactual )
        & ( old @ sK17 @ mactual )
        & ( street @ sK18 @ mactual )
        & ( way @ sK18 @ mactual )
        & ( lonely @ sK18 @ mactual )
        & ( barrel @ sK16 @ sK17 @ mactual )
        & ( down @ sK16 @ sK18 @ mactual )
        & ( in @ sK16 @ sK15 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f691]) ).

thf(f1629,plain,
    ( spl1_72
    | spl1_58 ),
    inference(avatar_split_clause,[status(thm)],[f698,f1556,f1626]) ).

thf(f698,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( ( chevy @ sK17 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f695]) ).

thf(f695,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( ( ( chevy @ sK17 @ mactual )
        & ( car @ sK17 @ mactual )
        & ( white @ sK17 @ mactual )
        & ( dirty @ sK17 @ mactual )
        & ( old @ sK17 @ mactual )
        & ( street @ sK18 @ mactual )
        & ( way @ sK18 @ mactual )
        & ( lonely @ sK18 @ mactual )
        & ( barrel @ sK16 @ sK17 @ mactual )
        & ( down @ sK16 @ sK18 @ mactual )
        & ( in @ sK16 @ sK15 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f693]) ).

thf(f1624,plain,
    ( spl1_58
    | spl1_71 ),
    inference(avatar_split_clause,[status(thm)],[f700,f1621,f1556]) ).

thf(f700,plain,
    ( ( ( car @ sK17 @ mactual )
      = $true )
    | ( ( eiw_di @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f697]) ).

thf(f697,plain,
    ( ( ( ( car @ sK17 @ mactual )
        & ( white @ sK17 @ mactual )
        & ( dirty @ sK17 @ mactual )
        & ( old @ sK17 @ mactual )
        & ( street @ sK18 @ mactual )
        & ( way @ sK18 @ mactual )
        & ( lonely @ sK18 @ mactual )
        & ( barrel @ sK16 @ sK17 @ mactual )
        & ( down @ sK16 @ sK18 @ mactual )
        & ( in @ sK16 @ sK15 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f695]) ).

thf(f1619,plain,
    ( spl1_70
    | spl1_58 ),
    inference(avatar_split_clause,[status(thm)],[f702,f1556,f1616]) ).

thf(f702,plain,
    ( ( ( white @ sK17 @ mactual )
      = $true )
    | ( ( eiw_di @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f699]) ).

thf(f699,plain,
    ( ( ( ( white @ sK17 @ mactual )
        & ( dirty @ sK17 @ mactual )
        & ( old @ sK17 @ mactual )
        & ( street @ sK18 @ mactual )
        & ( way @ sK18 @ mactual )
        & ( lonely @ sK18 @ mactual )
        & ( barrel @ sK16 @ sK17 @ mactual )
        & ( down @ sK16 @ sK18 @ mactual )
        & ( in @ sK16 @ sK15 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f697]) ).

thf(f1614,plain,
    ( spl1_69
    | spl1_58 ),
    inference(avatar_split_clause,[status(thm)],[f704,f1556,f1611]) ).

thf(f704,plain,
    ( ( $true
      = ( dirty @ sK17 @ mactual ) )
    | ( ( eiw_di @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f701]) ).

thf(f701,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( $true
      = ( ( dirty @ sK17 @ mactual )
        & ( old @ sK17 @ mactual )
        & ( street @ sK18 @ mactual )
        & ( way @ sK18 @ mactual )
        & ( lonely @ sK18 @ mactual )
        & ( barrel @ sK16 @ sK17 @ mactual )
        & ( down @ sK16 @ sK18 @ mactual )
        & ( in @ sK16 @ sK15 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f699]) ).

thf(f1609,plain,
    ( spl1_68
    | spl1_58 ),
    inference(avatar_split_clause,[status(thm)],[f706,f1556,f1606]) ).

thf(f706,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( ( old @ sK17 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f703]) ).

thf(f703,plain,
    ( ( ( ( old @ sK17 @ mactual )
        & ( street @ sK18 @ mactual )
        & ( way @ sK18 @ mactual )
        & ( lonely @ sK18 @ mactual )
        & ( barrel @ sK16 @ sK17 @ mactual )
        & ( down @ sK16 @ sK18 @ mactual )
        & ( in @ sK16 @ sK15 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f701]) ).

thf(f1604,plain,
    ( spl1_67
    | spl1_58 ),
    inference(avatar_split_clause,[status(thm)],[f708,f1556,f1601]) ).

thf(f708,plain,
    ( ( ( street @ sK18 @ mactual )
      = $true )
    | ( ( eiw_di @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f705]) ).

thf(f705,plain,
    ( ( ( ( street @ sK18 @ mactual )
        & ( way @ sK18 @ mactual )
        & ( lonely @ sK18 @ mactual )
        & ( barrel @ sK16 @ sK17 @ mactual )
        & ( down @ sK16 @ sK18 @ mactual )
        & ( in @ sK16 @ sK15 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f703]) ).

thf(f1599,plain,
    ( spl1_66
    | spl1_58 ),
    inference(avatar_split_clause,[status(thm)],[f710,f1556,f1596]) ).

thf(f710,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( ( way @ sK18 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f707]) ).

thf(f707,plain,
    ( ( ( ( way @ sK18 @ mactual )
        & ( lonely @ sK18 @ mactual )
        & ( barrel @ sK16 @ sK17 @ mactual )
        & ( down @ sK16 @ sK18 @ mactual )
        & ( in @ sK16 @ sK15 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f705]) ).

thf(f1594,plain,
    ( spl1_58
    | spl1_65 ),
    inference(avatar_split_clause,[status(thm)],[f712,f1591,f1556]) ).

thf(f712,plain,
    ( ( ( lonely @ sK18 @ mactual )
      = $true )
    | ( ( eiw_di @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f709]) ).

thf(f709,plain,
    ( ( ( ( lonely @ sK18 @ mactual )
        & ( barrel @ sK16 @ sK17 @ mactual )
        & ( down @ sK16 @ sK18 @ mactual )
        & ( in @ sK16 @ sK15 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f707]) ).

thf(f1589,plain,
    ( spl1_58
    | spl1_64 ),
    inference(avatar_split_clause,[status(thm)],[f714,f1586,f1556]) ).

thf(f714,plain,
    ( ( ( barrel @ sK16 @ sK17 @ mactual )
      = $true )
    | ( ( eiw_di @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f711]) ).

thf(f711,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( $true
      = ( ( barrel @ sK16 @ sK17 @ mactual )
        & ( down @ sK16 @ sK18 @ mactual )
        & ( in @ sK16 @ sK15 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f709]) ).

thf(f1584,plain,
    ( spl1_63
    | spl1_58 ),
    inference(avatar_split_clause,[status(thm)],[f716,f1556,f1581]) ).

thf(f716,plain,
    ( ( ( down @ sK16 @ sK18 @ mactual )
      = $true )
    | ( ( eiw_di @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f713]) ).

thf(f713,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( $true
      = ( ( down @ sK16 @ sK18 @ mactual )
        & ( in @ sK16 @ sK15 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f711]) ).

thf(f1579,plain,
    ( spl1_62
    | spl1_58 ),
    inference(avatar_split_clause,[status(thm)],[f715,f1556,f1576]) ).

thf(f715,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( ( in @ sK16 @ sK15 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f713]) ).

thf(f1574,plain,
    ( spl1_58
    | spl1_61 ),
    inference(avatar_split_clause,[status(thm)],[f689,f1571,f1556]) ).

thf(f689,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( ( eiw_di @ sK18 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f688]) ).

thf(f1569,plain,
    ( spl1_58
    | spl1_60 ),
    inference(avatar_split_clause,[status(thm)],[f685,f1566,f1556]) ).

thf(f685,plain,
    ( ( ( eiw_di @ sK17 @ mactual )
      = $true )
    | ( ( eiw_di @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f684]) ).

thf(f1564,plain,
    ( spl1_58
    | spl1_59 ),
    inference(avatar_split_clause,[status(thm)],[f681,f1561,f1556]) ).

thf(f681,plain,
    ( ( ( eiw_di @ sK3 @ mactual )
      = $true )
    | ( ( eiw_di @ sK16 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f680]) ).

thf(f1559,plain,
    ( spl1_57
    | spl1_58 ),
    inference(avatar_split_clause,[status(thm)],[f677,f1556,f1552]) ).

thf(f677,plain,
    ( ( $true
      = ( eiw_di @ sK15 @ mactual ) )
    | ( ( eiw_di @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f676]) ).

thf(f1550,plain,
    ( spl1_39
    | spl1_56 ),
    inference(avatar_split_clause,[status(thm)],[f734,f1547,f1462]) ).

thf(f734,plain,
    ( ( $true
      = ( hollywood @ sK19 @ mactual ) )
    | ( ( eiw_di @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f732]) ).

thf(f732,plain,
    ( ( ( ( hollywood @ sK19 @ mactual )
        & ( city @ sK19 @ mactual )
        & ( event @ sK20 @ mactual )
        & ( chevy @ sK21 @ mactual )
        & ( car @ sK21 @ mactual )
        & ( white @ sK21 @ mactual )
        & ( dirty @ sK21 @ mactual )
        & ( old @ sK21 @ mactual )
        & ( street @ sK22 @ mactual )
        & ( way @ sK22 @ mactual )
        & ( lonely @ sK22 @ mactual )
        & ( barrel @ sK20 @ sK21 @ mactual )
        & ( down @ sK20 @ sK22 @ mactual )
        & ( in @ sK20 @ sK19 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f730]) ).

thf(f730,plain,
    ( ( ( ( hollywood @ sK19 @ mactual )
        & ( city @ sK19 @ mactual )
        & ( event @ sK20 @ mactual )
        & ( chevy @ sK21 @ mactual )
        & ( car @ sK21 @ mactual )
        & ( white @ sK21 @ mactual )
        & ( dirty @ sK21 @ mactual )
        & ( old @ sK21 @ mactual )
        & ( street @ sK22 @ mactual )
        & ( way @ sK22 @ mactual )
        & ( lonely @ sK22 @ mactual )
        & ( barrel @ sK20 @ sK21 @ mactual )
        & ( down @ sK20 @ sK22 @ mactual )
        & ( in @ sK20 @ sK19 @ mactual )
        & ( eiw_di @ sK22 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK2 @ mactual )
      = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f729]) ).

thf(f729,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( hollywood @ sK19 @ mactual )
            & ( city @ sK19 @ mactual )
            & ( event @ sK20 @ mactual )
            & ( chevy @ sK21 @ mactual )
            & ( car @ sK21 @ mactual )
            & ( white @ sK21 @ mactual )
            & ( dirty @ sK21 @ mactual )
            & ( old @ sK21 @ mactual )
            & ( street @ Y0 @ mactual )
            & ( way @ Y0 @ mactual )
            & ( lonely @ Y0 @ mactual )
            & ( barrel @ sK20 @ sK21 @ mactual )
            & ( down @ sK20 @ Y0 @ mactual )
            & ( in @ sK20 @ sK19 @ mactual )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK22 )
      = $true )
    | ( ( eiw_di @ sK2 @ mactual )
      = $true ) ),
    inference(sigma_clausification,[status(thm)],[f728]) ).

thf(f728,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( hollywood @ sK19 @ mactual )
            & ( city @ sK19 @ mactual )
            & ( event @ sK20 @ mactual )
            & ( chevy @ sK21 @ mactual )
            & ( car @ sK21 @ mactual )
            & ( white @ sK21 @ mactual )
            & ( dirty @ sK21 @ mactual )
            & ( old @ sK21 @ mactual )
            & ( street @ Y0 @ mactual )
            & ( way @ Y0 @ mactual )
            & ( lonely @ Y0 @ mactual )
            & ( barrel @ sK20 @ sK21 @ mactual )
            & ( down @ sK20 @ Y0 @ mactual )
            & ( in @ sK20 @ sK19 @ mactual )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true )
    | ( ( eiw_di @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f726]) ).

thf(f726,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ sK19 @ mactual )
              & ( city @ sK19 @ mactual )
              & ( event @ sK20 @ mactual )
              & ( chevy @ sK21 @ mactual )
              & ( car @ sK21 @ mactual )
              & ( white @ sK21 @ mactual )
              & ( dirty @ sK21 @ mactual )
              & ( old @ sK21 @ mactual )
              & ( street @ Y0 @ mactual )
              & ( way @ Y0 @ mactual )
              & ( lonely @ Y0 @ mactual )
              & ( barrel @ sK20 @ sK21 @ mactual )
              & ( down @ sK20 @ Y0 @ mactual )
              & ( in @ sK20 @ sK19 @ mactual )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK21 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK2 @ mactual )
      = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f725]) ).

thf(f725,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( hollywood @ sK19 @ mactual )
                  & ( city @ sK19 @ mactual )
                  & ( event @ sK20 @ mactual )
                  & ( chevy @ Y0 @ mactual )
                  & ( car @ Y0 @ mactual )
                  & ( white @ Y0 @ mactual )
                  & ( dirty @ Y0 @ mactual )
                  & ( old @ Y0 @ mactual )
                  & ( street @ Y1 @ mactual )
                  & ( way @ Y1 @ mactual )
                  & ( lonely @ Y1 @ mactual )
                  & ( barrel @ sK20 @ Y0 @ mactual )
                  & ( down @ sK20 @ Y1 @ mactual )
                  & ( in @ sK20 @ sK19 @ mactual )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK21 )
      = $true ) ),
    inference(sigma_clausification,[status(thm)],[f724]) ).

thf(f724,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( hollywood @ sK19 @ mactual )
                  & ( city @ sK19 @ mactual )
                  & ( event @ sK20 @ mactual )
                  & ( chevy @ Y0 @ mactual )
                  & ( car @ Y0 @ mactual )
                  & ( white @ Y0 @ mactual )
                  & ( dirty @ Y0 @ mactual )
                  & ( old @ Y0 @ mactual )
                  & ( street @ Y1 @ mactual )
                  & ( way @ Y1 @ mactual )
                  & ( lonely @ Y1 @ mactual )
                  & ( barrel @ sK20 @ Y0 @ mactual )
                  & ( down @ sK20 @ Y1 @ mactual )
                  & ( in @ sK20 @ sK19 @ mactual )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f722]) ).

thf(f722,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( hollywood @ sK19 @ mactual )
                    & ( city @ sK19 @ mactual )
                    & ( event @ sK20 @ mactual )
                    & ( chevy @ Y0 @ mactual )
                    & ( car @ Y0 @ mactual )
                    & ( white @ Y0 @ mactual )
                    & ( dirty @ Y0 @ mactual )
                    & ( old @ Y0 @ mactual )
                    & ( street @ Y1 @ mactual )
                    & ( way @ Y1 @ mactual )
                    & ( lonely @ Y1 @ mactual )
                    & ( barrel @ sK20 @ Y0 @ mactual )
                    & ( down @ sK20 @ Y1 @ mactual )
                    & ( in @ sK20 @ sK19 @ mactual )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK20 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK2 @ mactual )
      = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f721]) ).

thf(f721,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( hollywood @ sK19 @ mactual )
                        & ( city @ sK19 @ mactual )
                        & ( event @ Y0 @ mactual )
                        & ( chevy @ Y1 @ mactual )
                        & ( car @ Y1 @ mactual )
                        & ( white @ Y1 @ mactual )
                        & ( dirty @ Y1 @ mactual )
                        & ( old @ Y1 @ mactual )
                        & ( street @ Y2 @ mactual )
                        & ( way @ Y2 @ mactual )
                        & ( lonely @ Y2 @ mactual )
                        & ( barrel @ Y0 @ Y1 @ mactual )
                        & ( down @ Y0 @ Y2 @ mactual )
                        & ( in @ Y0 @ sK19 @ mactual )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK20 )
      = $true )
    | ( ( eiw_di @ sK2 @ mactual )
      = $true ) ),
    inference(sigma_clausification,[status(thm)],[f720]) ).

thf(f720,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( hollywood @ sK19 @ mactual )
                        & ( city @ sK19 @ mactual )
                        & ( event @ Y0 @ mactual )
                        & ( chevy @ Y1 @ mactual )
                        & ( car @ Y1 @ mactual )
                        & ( white @ Y1 @ mactual )
                        & ( dirty @ Y1 @ mactual )
                        & ( old @ Y1 @ mactual )
                        & ( street @ Y2 @ mactual )
                        & ( way @ Y2 @ mactual )
                        & ( lonely @ Y2 @ mactual )
                        & ( barrel @ Y0 @ Y1 @ mactual )
                        & ( down @ Y0 @ Y2 @ mactual )
                        & ( in @ Y0 @ sK19 @ mactual )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f718]) ).

thf(f718,plain,
    ( ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( hollywood @ sK19 @ mactual )
                          & ( city @ sK19 @ mactual )
                          & ( event @ Y0 @ mactual )
                          & ( chevy @ Y1 @ mactual )
                          & ( car @ Y1 @ mactual )
                          & ( white @ Y1 @ mactual )
                          & ( dirty @ Y1 @ mactual )
                          & ( old @ Y1 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( barrel @ Y0 @ Y1 @ mactual )
                          & ( down @ Y0 @ Y2 @ mactual )
                          & ( in @ Y0 @ sK19 @ mactual )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
        & ( eiw_di @ sK19 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK2 @ mactual )
      = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f717]) ).

thf(f717,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( $true
      = ( ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( hollywood @ Y0 @ mactual )
                              & ( city @ Y0 @ mactual )
                              & ( event @ Y1 @ mactual )
                              & ( chevy @ Y2 @ mactual )
                              & ( car @ Y2 @ mactual )
                              & ( white @ Y2 @ mactual )
                              & ( dirty @ Y2 @ mactual )
                              & ( old @ Y2 @ mactual )
                              & ( street @ Y3 @ mactual )
                              & ( way @ Y3 @ mactual )
                              & ( lonely @ Y3 @ mactual )
                              & ( barrel @ Y1 @ Y2 @ mactual )
                              & ( down @ Y1 @ Y3 @ mactual )
                              & ( in @ Y1 @ Y0 @ mactual )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ sK19 ) ) ),
    inference(sigma_clausification,[status(thm)],[f73]) ).

thf(f73,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( hollywood @ Y0 @ mactual )
                              & ( city @ Y0 @ mactual )
                              & ( event @ Y1 @ mactual )
                              & ( chevy @ Y2 @ mactual )
                              & ( car @ Y2 @ mactual )
                              & ( white @ Y2 @ mactual )
                              & ( dirty @ Y2 @ mactual )
                              & ( old @ Y2 @ mactual )
                              & ( street @ Y3 @ mactual )
                              & ( way @ Y3 @ mactual )
                              & ( lonely @ Y3 @ mactual )
                              & ( barrel @ Y1 @ Y2 @ mactual )
                              & ( down @ Y1 @ Y3 @ mactual )
                              & ( in @ Y1 @ Y0 @ mactual )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f72]) ).

thf(f1545,plain,
    ( spl1_39
    | spl1_55 ),
    inference(avatar_split_clause,[status(thm)],[f736,f1542,f1462]) ).

thf(f736,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( ( city @ sK19 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f733]) ).

thf(f733,plain,
    ( ( ( ( city @ sK19 @ mactual )
        & ( event @ sK20 @ mactual )
        & ( chevy @ sK21 @ mactual )
        & ( car @ sK21 @ mactual )
        & ( white @ sK21 @ mactual )
        & ( dirty @ sK21 @ mactual )
        & ( old @ sK21 @ mactual )
        & ( street @ sK22 @ mactual )
        & ( way @ sK22 @ mactual )
        & ( lonely @ sK22 @ mactual )
        & ( barrel @ sK20 @ sK21 @ mactual )
        & ( down @ sK20 @ sK22 @ mactual )
        & ( in @ sK20 @ sK19 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f732]) ).

thf(f1540,plain,
    ( spl1_39
    | spl1_54 ),
    inference(avatar_split_clause,[status(thm)],[f738,f1537,f1462]) ).

thf(f738,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( ( event @ sK20 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f735]) ).

thf(f735,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( ( ( event @ sK20 @ mactual )
        & ( chevy @ sK21 @ mactual )
        & ( car @ sK21 @ mactual )
        & ( white @ sK21 @ mactual )
        & ( dirty @ sK21 @ mactual )
        & ( old @ sK21 @ mactual )
        & ( street @ sK22 @ mactual )
        & ( way @ sK22 @ mactual )
        & ( lonely @ sK22 @ mactual )
        & ( barrel @ sK20 @ sK21 @ mactual )
        & ( down @ sK20 @ sK22 @ mactual )
        & ( in @ sK20 @ sK19 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f733]) ).

thf(f1535,plain,
    ( spl1_53
    | spl1_39 ),
    inference(avatar_split_clause,[status(thm)],[f740,f1462,f1532]) ).

thf(f740,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( $true
      = ( chevy @ sK21 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f737]) ).

thf(f737,plain,
    ( ( ( ( chevy @ sK21 @ mactual )
        & ( car @ sK21 @ mactual )
        & ( white @ sK21 @ mactual )
        & ( dirty @ sK21 @ mactual )
        & ( old @ sK21 @ mactual )
        & ( street @ sK22 @ mactual )
        & ( way @ sK22 @ mactual )
        & ( lonely @ sK22 @ mactual )
        & ( barrel @ sK20 @ sK21 @ mactual )
        & ( down @ sK20 @ sK22 @ mactual )
        & ( in @ sK20 @ sK19 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f735]) ).

thf(f1530,plain,
    ( spl1_39
    | spl1_52 ),
    inference(avatar_split_clause,[status(thm)],[f742,f1527,f1462]) ).

thf(f742,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( ( car @ sK21 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f739]) ).

thf(f739,plain,
    ( ( ( ( car @ sK21 @ mactual )
        & ( white @ sK21 @ mactual )
        & ( dirty @ sK21 @ mactual )
        & ( old @ sK21 @ mactual )
        & ( street @ sK22 @ mactual )
        & ( way @ sK22 @ mactual )
        & ( lonely @ sK22 @ mactual )
        & ( barrel @ sK20 @ sK21 @ mactual )
        & ( down @ sK20 @ sK22 @ mactual )
        & ( in @ sK20 @ sK19 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f737]) ).

thf(f1525,plain,
    ( spl1_39
    | spl1_51 ),
    inference(avatar_split_clause,[status(thm)],[f744,f1522,f1462]) ).

thf(f744,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( ( white @ sK21 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f741]) ).

thf(f741,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( ( ( white @ sK21 @ mactual )
        & ( dirty @ sK21 @ mactual )
        & ( old @ sK21 @ mactual )
        & ( street @ sK22 @ mactual )
        & ( way @ sK22 @ mactual )
        & ( lonely @ sK22 @ mactual )
        & ( barrel @ sK20 @ sK21 @ mactual )
        & ( down @ sK20 @ sK22 @ mactual )
        & ( in @ sK20 @ sK19 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f739]) ).

thf(f1520,plain,
    ( spl1_50
    | spl1_39 ),
    inference(avatar_split_clause,[status(thm)],[f746,f1462,f1517]) ).

thf(f746,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( ( dirty @ sK21 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f743]) ).

thf(f743,plain,
    ( ( $true
      = ( ( dirty @ sK21 @ mactual )
        & ( old @ sK21 @ mactual )
        & ( street @ sK22 @ mactual )
        & ( way @ sK22 @ mactual )
        & ( lonely @ sK22 @ mactual )
        & ( barrel @ sK20 @ sK21 @ mactual )
        & ( down @ sK20 @ sK22 @ mactual )
        & ( in @ sK20 @ sK19 @ mactual ) ) )
    | ( ( eiw_di @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f741]) ).

thf(f1515,plain,
    ( spl1_49
    | spl1_39 ),
    inference(avatar_split_clause,[status(thm)],[f748,f1462,f1512]) ).

thf(f748,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( $true
      = ( old @ sK21 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f745]) ).

thf(f745,plain,
    ( ( ( ( old @ sK21 @ mactual )
        & ( street @ sK22 @ mactual )
        & ( way @ sK22 @ mactual )
        & ( lonely @ sK22 @ mactual )
        & ( barrel @ sK20 @ sK21 @ mactual )
        & ( down @ sK20 @ sK22 @ mactual )
        & ( in @ sK20 @ sK19 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f743]) ).

thf(f1510,plain,
    ( spl1_48
    | spl1_39 ),
    inference(avatar_split_clause,[status(thm)],[f750,f1462,f1507]) ).

thf(f750,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( ( street @ sK22 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f747]) ).

thf(f747,plain,
    ( ( ( ( street @ sK22 @ mactual )
        & ( way @ sK22 @ mactual )
        & ( lonely @ sK22 @ mactual )
        & ( barrel @ sK20 @ sK21 @ mactual )
        & ( down @ sK20 @ sK22 @ mactual )
        & ( in @ sK20 @ sK19 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f745]) ).

thf(f1505,plain,
    ( spl1_39
    | spl1_47 ),
    inference(avatar_split_clause,[status(thm)],[f752,f1502,f1462]) ).

thf(f752,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( ( way @ sK22 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f749]) ).

thf(f749,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( ( ( way @ sK22 @ mactual )
        & ( lonely @ sK22 @ mactual )
        & ( barrel @ sK20 @ sK21 @ mactual )
        & ( down @ sK20 @ sK22 @ mactual )
        & ( in @ sK20 @ sK19 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f747]) ).

thf(f1500,plain,
    ( spl1_46
    | spl1_39 ),
    inference(avatar_split_clause,[status(thm)],[f754,f1462,f1497]) ).

thf(f754,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( ( lonely @ sK22 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f751]) ).

thf(f751,plain,
    ( ( ( ( lonely @ sK22 @ mactual )
        & ( barrel @ sK20 @ sK21 @ mactual )
        & ( down @ sK20 @ sK22 @ mactual )
        & ( in @ sK20 @ sK19 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f749]) ).

thf(f1495,plain,
    ( spl1_45
    | spl1_39 ),
    inference(avatar_split_clause,[status(thm)],[f756,f1462,f1492]) ).

thf(f756,plain,
    ( ( ( barrel @ sK20 @ sK21 @ mactual )
      = $true )
    | ( ( eiw_di @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f753]) ).

thf(f753,plain,
    ( ( ( ( barrel @ sK20 @ sK21 @ mactual )
        & ( down @ sK20 @ sK22 @ mactual )
        & ( in @ sK20 @ sK19 @ mactual ) )
      = $true )
    | ( ( eiw_di @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f751]) ).

thf(f1490,plain,
    ( spl1_39
    | spl1_44 ),
    inference(avatar_split_clause,[status(thm)],[f758,f1487,f1462]) ).

thf(f758,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( ( down @ sK20 @ sK22 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f755]) ).

thf(f755,plain,
    ( ( $true
      = ( ( down @ sK20 @ sK22 @ mactual )
        & ( in @ sK20 @ sK19 @ mactual ) ) )
    | ( ( eiw_di @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f753]) ).

thf(f1485,plain,
    ( spl1_39
    | spl1_43 ),
    inference(avatar_split_clause,[status(thm)],[f757,f1482,f1462]) ).

thf(f757,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( ( in @ sK20 @ sK19 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f755]) ).

thf(f1480,plain,
    ( spl1_39
    | spl1_42 ),
    inference(avatar_split_clause,[status(thm)],[f731,f1477,f1462]) ).

thf(f731,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( $true
      = ( eiw_di @ sK22 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f730]) ).

thf(f1475,plain,
    ( spl1_39
    | spl1_41 ),
    inference(avatar_split_clause,[status(thm)],[f727,f1472,f1462]) ).

thf(f727,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( $true
      = ( eiw_di @ sK21 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f726]) ).

thf(f1470,plain,
    ( spl1_39
    | spl1_40 ),
    inference(avatar_split_clause,[status(thm)],[f723,f1467,f1462]) ).

thf(f723,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( $true
      = ( eiw_di @ sK20 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f722]) ).

thf(f1465,plain,
    ( spl1_38
    | spl1_39 ),
    inference(avatar_split_clause,[status(thm)],[f719,f1462,f1458]) ).

thf(f719,plain,
    ( ( ( eiw_di @ sK2 @ mactual )
      = $true )
    | ( ( eiw_di @ sK19 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f718]) ).

thf(f1276,plain,
    ( spl1_1
    | spl1_1 ),
    inference(avatar_split_clause,[status(thm)],[f1272,f1274,f1274]) ).

thf(f1272,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( dirty @ X7 @ mactual ) )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( $false
        = ( way @ X5 @ mactual ) )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( ( way @ X8 @ mactual )
        = $false )
      | ( $false
        = ( dirty @ X6 @ mactual ) )
      | ( $false
        = ( chevy @ X7 @ mactual ) )
      | ( $false
        = ( lonely @ X8 @ mactual ) )
      | ( $false
        = ( old @ X6 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( down @ X3 @ X5 @ mactual ) )
      | ( $false
        = ( car @ X7 @ mactual ) )
      | ( $false
        = ( chevy @ X6 @ mactual ) )
      | ( $false
        = ( event @ X4 @ mactual ) )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( ( in @ X4 @ X1 @ mactual )
        = $false )
      | ( $false
        = ( event @ X3 @ mactual ) )
      | ( $false
        = ( street @ X5 @ mactual ) )
      | ( $false
        = ( white @ X6 @ mactual ) )
      | ( $false
        = ( in @ X3 @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( old @ X7 @ mactual ) )
      | ( $false
        = ( barrel @ X4 @ X6 @ mactual ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( lonely @ X5 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( barrel @ X3 @ X7 @ mactual ) )
      | ( $false
        = ( street @ X8 @ mactual ) )
      | ( $false
        = ( down @ X4 @ X8 @ mactual ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( city @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1271]) ).

thf(f1271,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( lonely @ X5 @ mactual ) )
      | ( ( way @ X8 @ mactual )
        = $false )
      | ( $false
        = ( event @ X4 @ mactual ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( dirty @ X7 @ mactual ) )
      | ( $false
        = ( old @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( lonely @ X8 @ mactual ) )
      | ( $false
        = ( down @ X3 @ X5 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( in @ X3 @ X2 @ mactual ) )
      | ( $false
        = ( car @ X7 @ mactual ) )
      | ( $false
        = ( street @ X8 @ mactual ) )
      | ( $false
        = ( chevy @ X7 @ mactual ) )
      | ( $false
        = ( barrel @ X3 @ X7 @ mactual ) )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( $false
        = ( event @ X3 @ mactual ) )
      | ( $false
        = ( old @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( dirty @ X6 @ mactual ) )
      | ( $false
        = ( way @ X5 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( city @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( white @ X6 @ mactual ) )
      | ( $false
        = ( ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( chevy @ X6 @ mactual ) )
      | ( $false
        = ( barrel @ X4 @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( street @ X5 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( car @ X6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1270]) ).

thf(f1270,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( car @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( chevy @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( lonely @ X8 @ mactual ) )
      | ( $false
        = ( dirty @ X7 @ mactual ) )
      | ( $false
        = ( old @ X7 @ mactual ) )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( $false
        = ( way @ X5 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( event @ X4 @ mactual ) )
      | ( ( way @ X8 @ mactual )
        = $false )
      | ( $false
        = ( barrel @ X3 @ X7 @ mactual ) )
      | ( $false
        = ( street @ X5 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( white @ X6 @ mactual ) )
      | ( $false
        = ( lonely @ X5 @ mactual ) )
      | ( $false
        = ( down @ X3 @ X5 @ mactual ) )
      | ( $false
        = ( car @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( chevy @ X6 @ mactual ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( street @ X8 @ mactual ) )
      | ( $false
        = ( ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( old @ X6 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( dirty @ X6 @ mactual ) )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( $false
        = ( in @ X3 @ X2 @ mactual ) )
      | ( $false
        = ( city @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( event @ X3 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1269]) ).

thf(f1269,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( way @ X5 @ mactual ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( barrel @ X3 @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( lonely @ X5 @ mactual ) )
      | ( $false
        = ( car @ X7 @ mactual ) )
      | ( $false
        = ( event @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( dirty @ X6 @ mactual ) )
      | ( $false
        = ( old @ X6 @ mactual ) )
      | ( $false
        = ( down @ X3 @ X5 @ mactual ) )
      | ( $false
        = ( street @ X5 @ mactual ) )
      | ( $false
        = ( white @ X6 @ mactual ) )
      | ( $false
        = ( chevy @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( street @ X8 @ mactual ) )
      | ( $false
        = ( city @ X1 @ mactual ) )
      | ( $false
        = ( dirty @ X7 @ mactual ) )
      | ( $false
        = ( in @ X3 @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( $false
        = ( chevy @ X7 @ mactual ) )
      | ( $false
        = ( old @ X7 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( ( way @ X8 @ mactual )
        = $false )
      | ( $false
        = ( event @ X3 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1268]) ).

thf(f1268,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( white @ X6 @ mactual ) )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( ( way @ X8 @ mactual )
        = $false )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( event @ X3 @ mactual ) )
      | ( $false
        = ( chevy @ X7 @ mactual ) )
      | ( $false
        = ( city @ X1 @ mactual ) )
      | ( $false
        = ( old @ X6 @ mactual ) )
      | ( $false
        = ( dirty @ X6 @ mactual ) )
      | ( $false
        = ( street @ X5 @ mactual ) )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( $false
        = ( old @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( $false
        = ( event @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( lonely @ X5 @ mactual ) )
      | ( $false
        = ( street @ X8 @ mactual ) )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( $false
        = ( barrel @ X3 @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( dirty @ X7 @ mactual ) )
      | ( $false
        = ( chevy @ X6 @ mactual ) )
      | ( $false
        = ( car @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( way @ X5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1267]) ).

thf(f1267,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( lonely @ X5 @ mactual ) )
      | ( $false
        = ( old @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( white @ X6 @ mactual ) )
      | ( $false
        = ( dirty @ X7 @ mactual ) )
      | ( $false
        = ( chevy @ X7 @ mactual ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( city @ X1 @ mactual ) )
      | ( $false
        = ( ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( street @ X8 @ mactual ) )
      | ( ( way @ X8 @ mactual )
        = $false )
      | ( $false
        = ( dirty @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( $false
        = ( way @ X5 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( chevy @ X6 @ mactual ) )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( $false
        = ( event @ X4 @ mactual ) )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( $false
        = ( street @ X5 @ mactual ) )
      | ( $false
        = ( old @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( car @ X7 @ mactual ) )
      | ( $false
        = ( ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( event @ X3 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1266]) ).

thf(f1266,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( chevy @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( old @ X7 @ mactual ) )
      | ( $false
        = ( way @ X5 @ mactual ) )
      | ( $false
        = ( dirty @ X7 @ mactual ) )
      | ( $false
        = ( chevy @ X7 @ mactual ) )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( $false
        = ( lonely @ X5 @ mactual ) )
      | ( $false
        = ( event @ X3 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( event @ X4 @ mactual ) )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( $false
        = ( city @ X1 @ mactual ) )
      | ( $false
        = ( white @ X6 @ mactual ) )
      | ( $false
        = ( street @ X5 @ mactual ) )
      | ( $false
        = ( ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( old @ X6 @ mactual ) )
      | ( $false
        = ( dirty @ X6 @ mactual ) )
      | ( $false
        = ( street @ X8 @ mactual ) )
      | ( $false
        = ( car @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1265]) ).

thf(f1265,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( dirty @ X7 @ mactual ) )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( dirty @ X6 @ mactual ) )
      | ( $false
        = ( lonely @ X5 @ mactual ) )
      | ( $false
        = ( white @ X6 @ mactual ) )
      | ( $false
        = ( ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( $false
        = ( street @ X8 @ mactual ) )
      | ( $false
        = ( way @ X5 @ mactual ) )
      | ( $false
        = ( ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( car @ X7 @ mactual ) )
      | ( $false
        = ( street @ X5 @ mactual ) )
      | ( $false
        = ( chevy @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( chevy @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( event @ X3 @ mactual ) )
      | ( $false
        = ( old @ X6 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( event @ X4 @ mactual ) )
      | ( $false
        = ( city @ X1 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1264]) ).

thf(f1264,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( white @ X7 @ mactual )
        = $false )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( city @ X1 @ mactual ) )
      | ( $false
        = ( way @ X5 @ mactual ) )
      | ( $false
        = ( dirty @ X7 @ mactual ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( car @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( event @ X4 @ mactual ) )
      | ( $false
        = ( event @ X3 @ mactual ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( lonely @ X5 @ mactual ) )
      | ( $false
        = ( chevy @ X6 @ mactual ) )
      | ( $false
        = ( street @ X5 @ mactual ) )
      | ( $false
        = ( dirty @ X6 @ mactual ) )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( $false
        = ( old @ X6 @ mactual ) )
      | ( $false
        = ( chevy @ X7 @ mactual ) )
      | ( $false
        = ( ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( $false
        = ( white @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1263]) ).

thf(f1263,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( event @ X3 @ mactual ) )
      | ( $false
        = ( dirty @ X7 @ mactual ) )
      | ( $false
        = ( ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( way @ X5 @ mactual ) )
      | ( $false
        = ( white @ X6 @ mactual ) )
      | ( $false
        = ( car @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( lonely @ X5 @ mactual ) )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( event @ X4 @ mactual ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( chevy @ X6 @ mactual ) )
      | ( $false
        = ( chevy @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( city @ X1 @ mactual ) )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( dirty @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( $false
        = ( street @ X5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1262]) ).

thf(f1262,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( car @ X6 @ mactual ) )
      | ( $false
        = ( city @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( event @ X3 @ mactual ) )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( $false
        = ( chevy @ X6 @ mactual ) )
      | ( $false
        = ( chevy @ X7 @ mactual ) )
      | ( $false
        = ( street @ X5 @ mactual ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( ( ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( lonely @ X5 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( white @ X6 @ mactual ) )
      | ( $false
        = ( way @ X5 @ mactual ) )
      | ( $false
        = ( event @ X4 @ mactual ) )
      | ( $false
        = ( car @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( $false
        = ( dirty @ X6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1261]) ).

thf(f1261,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( chevy @ X6 @ mactual ) )
      | ( $false
        = ( city @ X1 @ mactual ) )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( lonely @ X5 @ mactual ) )
      | ( $false
        = ( street @ X5 @ mactual ) )
      | ( $false
        = ( ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( way @ X5 @ mactual ) )
      | ( $false
        = ( white @ X6 @ mactual ) )
      | ( $false
        = ( event @ X4 @ mactual ) )
      | ( $false
        = ( chevy @ X7 @ mactual ) )
      | ( $false
        = ( car @ X7 @ mactual ) )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( event @ X3 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( dirty @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1260]) ).

thf(f1260,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( event @ X4 @ mactual ) )
      | ( $false
        = ( ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( $false
        = ( event @ X3 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( white @ X6 @ mactual ) )
      | ( $false
        = ( ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( $false
        = ( lonely @ X5 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( chevy @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( street @ X5 @ mactual ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( way @ X5 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( dirty @ X6 @ mactual ) )
      | ( $false
        = ( chevy @ X7 @ mactual ) )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( $false
        = ( city @ X1 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1259]) ).

thf(f1259,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( city @ X2 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( white @ X6 @ mactual ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( chevy @ X6 @ mactual ) )
      | ( $false
        = ( event @ X3 @ mactual ) )
      | ( $false
        = ( dirty @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( event @ X4 @ mactual ) )
      | ( $false
        = ( city @ X1 @ mactual ) )
      | ( $false
        = ( ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( $false
        = ( way @ X5 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( lonely @ X5 @ mactual ) )
      | ( $false
        = ( street @ X5 @ mactual ) )
      | ( $false
        = ( ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1258]) ).

thf(f1258,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( way @ X5 @ mactual ) )
      | ( $false
        = ( street @ X5 @ mactual ) )
      | ( $false
        = ( ( dirty @ X6 @ mactual )
          & ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( event @ X4 @ mactual ) )
      | ( $false
        = ( lonely @ X5 @ mactual ) )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( $false
        = ( chevy @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( event @ X3 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( city @ X1 @ mactual ) )
      | ( $false
        = ( white @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( $false
        = ( ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1257]) ).

thf(f1257,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( event @ X4 @ mactual ) )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( $false
        = ( chevy @ X6 @ mactual ) )
      | ( $false
        = ( ( lonely @ X5 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( $false
        = ( event @ X3 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( city @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( way @ X5 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( ( dirty @ X6 @ mactual )
          & ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( white @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( street @ X5 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1256]) ).

thf(f1256,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( event @ X4 @ mactual ) )
      | ( $false
        = ( chevy @ X6 @ mactual ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( ( way @ X5 @ mactual )
          & ( lonely @ X5 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( $false
        = ( white @ X6 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( street @ X5 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( city @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( event @ X3 @ mactual ) )
      | ( $false
        = ( ( dirty @ X6 @ mactual )
          & ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1255]) ).

thf(f1255,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( ( white @ X6 @ mactual )
          & ( dirty @ X6 @ mactual )
          & ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( event @ X3 @ mactual ) )
      | ( $false
        = ( street @ X5 @ mactual ) )
      | ( $false
        = ( event @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( city @ X1 @ mactual ) )
      | ( $false
        = ( chevy @ X6 @ mactual ) )
      | ( $false
        = ( ( way @ X5 @ mactual )
          & ( lonely @ X5 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1254]) ).

thf(f1254,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( city @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( ( car @ X6 @ mactual )
          & ( white @ X6 @ mactual )
          & ( dirty @ X6 @ mactual )
          & ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( ( way @ X5 @ mactual )
          & ( lonely @ X5 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( event @ X4 @ mactual ) )
      | ( $false
        = ( street @ X5 @ mactual ) )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( event @ X3 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( chevy @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1253]) ).

thf(f1253,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( ( street @ X5 @ mactual )
          & ( way @ X5 @ mactual )
          & ( lonely @ X5 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( event @ X3 @ mactual ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( chevy @ X6 @ mactual ) )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( $false
        = ( ( car @ X6 @ mactual )
          & ( white @ X6 @ mactual )
          & ( dirty @ X6 @ mactual )
          & ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( city @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( event @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1252]) ).

thf(f1252,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( city @ X2 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( city @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( ( ( chevy @ X6 @ mactual )
          & ( car @ X6 @ mactual )
          & ( white @ X6 @ mactual )
          & ( dirty @ X6 @ mactual )
          & ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) )
        = $false )
      | ( $false
        = ( event @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( ( street @ X5 @ mactual )
          & ( way @ X5 @ mactual )
          & ( lonely @ X5 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( event @ X3 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1251]) ).

thf(f1251,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( city @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( $false
        = ( event @ X3 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( ( event @ X4 @ mactual )
          & ( chevy @ X6 @ mactual )
          & ( car @ X6 @ mactual )
          & ( white @ X6 @ mactual )
          & ( dirty @ X6 @ mactual )
          & ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( ( street @ X5 @ mactual )
          & ( way @ X5 @ mactual )
          & ( lonely @ X5 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1250]) ).

thf(f1250,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( city @ X2 @ mactual ) )
      | ( $false
        = ( event @ X3 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( ( ( city @ X1 @ mactual )
          & ( event @ X4 @ mactual )
          & ( chevy @ X6 @ mactual )
          & ( car @ X6 @ mactual )
          & ( white @ X6 @ mactual )
          & ( dirty @ X6 @ mactual )
          & ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) )
        = $false )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( ( street @ X5 @ mactual )
          & ( way @ X5 @ mactual )
          & ( lonely @ X5 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1249]) ).

thf(f1249,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( ( event @ X3 @ mactual )
          & ( street @ X5 @ mactual )
          & ( way @ X5 @ mactual )
          & ( lonely @ X5 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( ( ( city @ X1 @ mactual )
          & ( event @ X4 @ mactual )
          & ( chevy @ X6 @ mactual )
          & ( car @ X6 @ mactual )
          & ( white @ X6 @ mactual )
          & ( dirty @ X6 @ mactual )
          & ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) )
        = $false )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( city @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1248]) ).

thf(f1248,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( ( city @ X2 @ mactual )
          & ( event @ X3 @ mactual )
          & ( street @ X5 @ mactual )
          & ( way @ X5 @ mactual )
          & ( lonely @ X5 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( hollywood @ X1 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( ( ( city @ X1 @ mactual )
          & ( event @ X4 @ mactual )
          & ( chevy @ X6 @ mactual )
          & ( car @ X6 @ mactual )
          & ( white @ X6 @ mactual )
          & ( dirty @ X6 @ mactual )
          & ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1247]) ).

thf(f1247,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( ( hollywood @ X1 @ mactual )
          & ( city @ X1 @ mactual )
          & ( event @ X4 @ mactual )
          & ( chevy @ X6 @ mactual )
          & ( car @ X6 @ mactual )
          & ( white @ X6 @ mactual )
          & ( dirty @ X6 @ mactual )
          & ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( hollywood @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( ( city @ X2 @ mactual )
          & ( event @ X3 @ mactual )
          & ( street @ X5 @ mactual )
          & ( way @ X5 @ mactual )
          & ( lonely @ X5 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1246]) ).

thf(f1246,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( ( ( hollywood @ X2 @ mactual )
          & ( city @ X2 @ mactual )
          & ( event @ X3 @ mactual )
          & ( street @ X5 @ mactual )
          & ( way @ X5 @ mactual )
          & ( lonely @ X5 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( $false
        = ( ( hollywood @ X1 @ mactual )
          & ( city @ X1 @ mactual )
          & ( event @ X4 @ mactual )
          & ( chevy @ X6 @ mactual )
          & ( car @ X6 @ mactual )
          & ( white @ X6 @ mactual )
          & ( dirty @ X6 @ mactual )
          & ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual ) ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X8 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1245]) ).

thf(f1245,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( ( hollywood @ X1 @ mactual )
          & ( city @ X1 @ mactual )
          & ( event @ X4 @ mactual )
          & ( chevy @ X6 @ mactual )
          & ( car @ X6 @ mactual )
          & ( white @ X6 @ mactual )
          & ( dirty @ X6 @ mactual )
          & ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( in @ X4 @ X1 @ mactual )
          & ( eiw_di @ X8 @ mactual ) ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( ( ( hollywood @ X2 @ mactual )
          & ( city @ X2 @ mactual )
          & ( event @ X3 @ mactual )
          & ( street @ X5 @ mactual )
          & ( way @ X5 @ mactual )
          & ( lonely @ X5 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f1244]) ).

thf(f1244,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( ^ [Y0: $i] :
              ( ( hollywood @ X1 @ mactual )
              & ( city @ X1 @ mactual )
              & ( event @ X4 @ mactual )
              & ( chevy @ X6 @ mactual )
              & ( car @ X6 @ mactual )
              & ( white @ X6 @ mactual )
              & ( dirty @ X6 @ mactual )
              & ( old @ X6 @ mactual )
              & ( street @ Y0 @ mactual )
              & ( way @ Y0 @ mactual )
              & ( lonely @ Y0 @ mactual )
              & ( barrel @ X4 @ X6 @ mactual )
              & ( down @ X4 @ Y0 @ mactual )
              & ( in @ X4 @ X1 @ mactual )
              & ( eiw_di @ Y0 @ mactual ) )
          @ X8 ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( ( ( hollywood @ X2 @ mactual )
          & ( city @ X2 @ mactual )
          & ( event @ X3 @ mactual )
          & ( street @ X5 @ mactual )
          & ( way @ X5 @ mactual )
          & ( lonely @ X5 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) ) ),
    inference(pi_clausification,[status(thm)],[f1243]) ).

thf(f1243,plain,
    ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ X1 @ mactual )
              & ( city @ X1 @ mactual )
              & ( event @ X4 @ mactual )
              & ( chevy @ X6 @ mactual )
              & ( car @ X6 @ mactual )
              & ( white @ X6 @ mactual )
              & ( dirty @ X6 @ mactual )
              & ( old @ X6 @ mactual )
              & ( street @ Y0 @ mactual )
              & ( way @ Y0 @ mactual )
              & ( lonely @ Y0 @ mactual )
              & ( barrel @ X4 @ X6 @ mactual )
              & ( down @ X4 @ Y0 @ mactual )
              & ( in @ X4 @ X1 @ mactual )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( eiw_di @ X7 @ mactual ) )
      | ( ( ( hollywood @ X2 @ mactual )
          & ( city @ X2 @ mactual )
          & ( event @ X3 @ mactual )
          & ( street @ X5 @ mactual )
          & ( way @ X5 @ mactual )
          & ( lonely @ X5 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1242]) ).

thf(f1242,plain,
    ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( ( hollywood @ X2 @ mactual )
          & ( city @ X2 @ mactual )
          & ( event @ X3 @ mactual )
          & ( street @ X5 @ mactual )
          & ( way @ X5 @ mactual )
          & ( lonely @ X5 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual )
          & ( eiw_di @ X7 @ mactual ) ) )
      | ( $false
        = ( eiw_di @ X6 @ mactual ) )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ X1 @ mactual )
              & ( city @ X1 @ mactual )
              & ( event @ X4 @ mactual )
              & ( chevy @ X6 @ mactual )
              & ( car @ X6 @ mactual )
              & ( white @ X6 @ mactual )
              & ( dirty @ X6 @ mactual )
              & ( old @ X6 @ mactual )
              & ( street @ Y0 @ mactual )
              & ( way @ Y0 @ mactual )
              & ( lonely @ Y0 @ mactual )
              & ( barrel @ X4 @ X6 @ mactual )
              & ( down @ X4 @ Y0 @ mactual )
              & ( in @ X4 @ X1 @ mactual )
              & ( eiw_di @ Y0 @ mactual ) ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1241]) ).

thf(f1241,plain,
    ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( hollywood @ X1 @ mactual )
                & ( city @ X1 @ mactual )
                & ( event @ X4 @ mactual )
                & ( chevy @ X6 @ mactual )
                & ( car @ X6 @ mactual )
                & ( white @ X6 @ mactual )
                & ( dirty @ X6 @ mactual )
                & ( old @ X6 @ mactual )
                & ( street @ Y0 @ mactual )
                & ( way @ Y0 @ mactual )
                & ( lonely @ Y0 @ mactual )
                & ( barrel @ X4 @ X6 @ mactual )
                & ( down @ X4 @ Y0 @ mactual )
                & ( in @ X4 @ X1 @ mactual )
                & ( eiw_di @ Y0 @ mactual ) ) )
          & ( eiw_di @ X6 @ mactual ) ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( ( hollywood @ X2 @ mactual )
          & ( city @ X2 @ mactual )
          & ( event @ X3 @ mactual )
          & ( street @ X5 @ mactual )
          & ( way @ X5 @ mactual )
          & ( lonely @ X5 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X5 @ mactual )
          & ( in @ X3 @ X2 @ mactual )
          & ( eiw_di @ X7 @ mactual ) ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false ) ),
    inference(beta_eta_normalization,[status(thm)],[f1240]) ).

thf(f1240,plain,
    ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( ^ [Y0: $i] :
              ( ( hollywood @ X2 @ mactual )
              & ( city @ X2 @ mactual )
              & ( event @ X3 @ mactual )
              & ( street @ X5 @ mactual )
              & ( way @ X5 @ mactual )
              & ( lonely @ X5 @ mactual )
              & ( chevy @ Y0 @ mactual )
              & ( car @ Y0 @ mactual )
              & ( white @ Y0 @ mactual )
              & ( dirty @ Y0 @ mactual )
              & ( old @ Y0 @ mactual )
              & ( barrel @ X3 @ Y0 @ mactual )
              & ( down @ X3 @ X5 @ mactual )
              & ( in @ X3 @ X2 @ mactual )
              & ( eiw_di @ Y0 @ mactual ) )
          @ X7 ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( hollywood @ X1 @ mactual )
                & ( city @ X1 @ mactual )
                & ( event @ X4 @ mactual )
                & ( chevy @ X6 @ mactual )
                & ( car @ X6 @ mactual )
                & ( white @ X6 @ mactual )
                & ( dirty @ X6 @ mactual )
                & ( old @ X6 @ mactual )
                & ( street @ Y0 @ mactual )
                & ( way @ Y0 @ mactual )
                & ( lonely @ Y0 @ mactual )
                & ( barrel @ X4 @ X6 @ mactual )
                & ( down @ X4 @ Y0 @ mactual )
                & ( in @ X4 @ X1 @ mactual )
                & ( eiw_di @ Y0 @ mactual ) ) )
          & ( eiw_di @ X6 @ mactual ) ) ) ),
    inference(pi_clausification,[status(thm)],[f1239]) ).

thf(f1239,plain,
    ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ X2 @ mactual )
              & ( city @ X2 @ mactual )
              & ( event @ X3 @ mactual )
              & ( street @ X5 @ mactual )
              & ( way @ X5 @ mactual )
              & ( lonely @ X5 @ mactual )
              & ( chevy @ Y0 @ mactual )
              & ( car @ Y0 @ mactual )
              & ( white @ Y0 @ mactual )
              & ( dirty @ Y0 @ mactual )
              & ( old @ Y0 @ mactual )
              & ( barrel @ X3 @ Y0 @ mactual )
              & ( down @ X3 @ X5 @ mactual )
              & ( in @ X3 @ X2 @ mactual )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( hollywood @ X1 @ mactual )
                & ( city @ X1 @ mactual )
                & ( event @ X4 @ mactual )
                & ( chevy @ X6 @ mactual )
                & ( car @ X6 @ mactual )
                & ( white @ X6 @ mactual )
                & ( dirty @ X6 @ mactual )
                & ( old @ X6 @ mactual )
                & ( street @ Y0 @ mactual )
                & ( way @ Y0 @ mactual )
                & ( lonely @ Y0 @ mactual )
                & ( barrel @ X4 @ X6 @ mactual )
                & ( down @ X4 @ Y0 @ mactual )
                & ( in @ X4 @ X1 @ mactual )
                & ( eiw_di @ Y0 @ mactual ) ) )
          & ( eiw_di @ X6 @ mactual ) ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f1238]) ).

thf(f1238,plain,
    ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
      ( ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( hollywood @ X1 @ mactual )
                    & ( city @ X1 @ mactual )
                    & ( event @ X4 @ mactual )
                    & ( chevy @ Y0 @ mactual )
                    & ( car @ Y0 @ mactual )
                    & ( white @ Y0 @ mactual )
                    & ( dirty @ Y0 @ mactual )
                    & ( old @ Y0 @ mactual )
                    & ( street @ Y1 @ mactual )
                    & ( way @ Y1 @ mactual )
                    & ( lonely @ Y1 @ mactual )
                    & ( barrel @ X4 @ Y0 @ mactual )
                    & ( down @ X4 @ Y1 @ mactual )
                    & ( in @ X4 @ X1 @ mactual )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) )
          @ X6 ) )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ X2 @ mactual )
              & ( city @ X2 @ mactual )
              & ( event @ X3 @ mactual )
              & ( street @ X5 @ mactual )
              & ( way @ X5 @ mactual )
              & ( lonely @ X5 @ mactual )
              & ( chevy @ Y0 @ mactual )
              & ( car @ Y0 @ mactual )
              & ( white @ Y0 @ mactual )
              & ( dirty @ Y0 @ mactual )
              & ( old @ Y0 @ mactual )
              & ( barrel @ X3 @ Y0 @ mactual )
              & ( down @ X3 @ X5 @ mactual )
              & ( in @ X3 @ X2 @ mactual )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) ) ),
    inference(pi_clausification,[status(thm)],[f1237]) ).

thf(f1237,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( hollywood @ X1 @ mactual )
                    & ( city @ X1 @ mactual )
                    & ( event @ X4 @ mactual )
                    & ( chevy @ Y0 @ mactual )
                    & ( car @ Y0 @ mactual )
                    & ( white @ Y0 @ mactual )
                    & ( dirty @ Y0 @ mactual )
                    & ( old @ Y0 @ mactual )
                    & ( street @ Y1 @ mactual )
                    & ( way @ Y1 @ mactual )
                    & ( lonely @ Y1 @ mactual )
                    & ( barrel @ X4 @ Y0 @ mactual )
                    & ( down @ X4 @ Y1 @ mactual )
                    & ( in @ X4 @ X1 @ mactual )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ X2 @ mactual )
              & ( city @ X2 @ mactual )
              & ( event @ X3 @ mactual )
              & ( street @ X5 @ mactual )
              & ( way @ X5 @ mactual )
              & ( lonely @ X5 @ mactual )
              & ( chevy @ Y0 @ mactual )
              & ( car @ Y0 @ mactual )
              & ( white @ Y0 @ mactual )
              & ( dirty @ Y0 @ mactual )
              & ( old @ Y0 @ mactual )
              & ( barrel @ X3 @ Y0 @ mactual )
              & ( down @ X3 @ X5 @ mactual )
              & ( in @ X3 @ X2 @ mactual )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      | ( ( eiw_di @ X5 @ mactual )
        = $false )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1236]) ).

thf(f1236,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( hollywood @ X2 @ mactual )
                & ( city @ X2 @ mactual )
                & ( event @ X3 @ mactual )
                & ( street @ X5 @ mactual )
                & ( way @ X5 @ mactual )
                & ( lonely @ X5 @ mactual )
                & ( chevy @ Y0 @ mactual )
                & ( car @ Y0 @ mactual )
                & ( white @ Y0 @ mactual )
                & ( dirty @ Y0 @ mactual )
                & ( old @ Y0 @ mactual )
                & ( barrel @ X3 @ Y0 @ mactual )
                & ( down @ X3 @ X5 @ mactual )
                & ( in @ X3 @ X2 @ mactual )
                & ( eiw_di @ Y0 @ mactual ) ) )
          & ( eiw_di @ X5 @ mactual ) ) )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( hollywood @ X1 @ mactual )
                    & ( city @ X1 @ mactual )
                    & ( event @ X4 @ mactual )
                    & ( chevy @ Y0 @ mactual )
                    & ( car @ Y0 @ mactual )
                    & ( white @ Y0 @ mactual )
                    & ( dirty @ Y0 @ mactual )
                    & ( old @ Y0 @ mactual )
                    & ( street @ Y1 @ mactual )
                    & ( way @ Y1 @ mactual )
                    & ( lonely @ Y1 @ mactual )
                    & ( barrel @ X4 @ Y0 @ mactual )
                    & ( down @ X4 @ Y1 @ mactual )
                    & ( in @ X4 @ X1 @ mactual )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f1235]) ).

thf(f1235,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( hollywood @ X2 @ mactual )
                    & ( city @ X2 @ mactual )
                    & ( event @ X3 @ mactual )
                    & ( street @ Y0 @ mactual )
                    & ( way @ Y0 @ mactual )
                    & ( lonely @ Y0 @ mactual )
                    & ( chevy @ Y1 @ mactual )
                    & ( car @ Y1 @ mactual )
                    & ( white @ Y1 @ mactual )
                    & ( dirty @ Y1 @ mactual )
                    & ( old @ Y1 @ mactual )
                    & ( barrel @ X3 @ Y1 @ mactual )
                    & ( down @ X3 @ Y0 @ mactual )
                    & ( in @ X3 @ X2 @ mactual )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) )
          @ X5 ) )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( hollywood @ X1 @ mactual )
                    & ( city @ X1 @ mactual )
                    & ( event @ X4 @ mactual )
                    & ( chevy @ Y0 @ mactual )
                    & ( car @ Y0 @ mactual )
                    & ( white @ Y0 @ mactual )
                    & ( dirty @ Y0 @ mactual )
                    & ( old @ Y0 @ mactual )
                    & ( street @ Y1 @ mactual )
                    & ( way @ Y1 @ mactual )
                    & ( lonely @ Y1 @ mactual )
                    & ( barrel @ X4 @ Y0 @ mactual )
                    & ( down @ X4 @ Y1 @ mactual )
                    & ( in @ X4 @ X1 @ mactual )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) ) ),
    inference(pi_clausification,[status(thm)],[f1234]) ).

thf(f1234,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ( $false
        = ( eiw_di @ X4 @ mactual ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( hollywood @ X2 @ mactual )
                    & ( city @ X2 @ mactual )
                    & ( event @ X3 @ mactual )
                    & ( street @ Y0 @ mactual )
                    & ( way @ Y0 @ mactual )
                    & ( lonely @ Y0 @ mactual )
                    & ( chevy @ Y1 @ mactual )
                    & ( car @ Y1 @ mactual )
                    & ( white @ Y1 @ mactual )
                    & ( dirty @ Y1 @ mactual )
                    & ( old @ Y1 @ mactual )
                    & ( barrel @ X3 @ Y1 @ mactual )
                    & ( down @ X3 @ Y0 @ mactual )
                    & ( in @ X3 @ X2 @ mactual )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( hollywood @ X1 @ mactual )
                    & ( city @ X1 @ mactual )
                    & ( event @ X4 @ mactual )
                    & ( chevy @ Y0 @ mactual )
                    & ( car @ Y0 @ mactual )
                    & ( white @ Y0 @ mactual )
                    & ( dirty @ Y0 @ mactual )
                    & ( old @ Y0 @ mactual )
                    & ( street @ Y1 @ mactual )
                    & ( way @ Y1 @ mactual )
                    & ( lonely @ Y1 @ mactual )
                    & ( barrel @ X4 @ Y0 @ mactual )
                    & ( down @ X4 @ Y1 @ mactual )
                    & ( in @ X4 @ X1 @ mactual )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1233]) ).

thf(f1233,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( hollywood @ X1 @ mactual )
                      & ( city @ X1 @ mactual )
                      & ( event @ X4 @ mactual )
                      & ( chevy @ Y0 @ mactual )
                      & ( car @ Y0 @ mactual )
                      & ( white @ Y0 @ mactual )
                      & ( dirty @ Y0 @ mactual )
                      & ( old @ Y0 @ mactual )
                      & ( street @ Y1 @ mactual )
                      & ( way @ Y1 @ mactual )
                      & ( lonely @ Y1 @ mactual )
                      & ( barrel @ X4 @ Y0 @ mactual )
                      & ( down @ X4 @ Y1 @ mactual )
                      & ( in @ X4 @ X1 @ mactual )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) )
          & ( eiw_di @ X4 @ mactual ) ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( hollywood @ X2 @ mactual )
                    & ( city @ X2 @ mactual )
                    & ( event @ X3 @ mactual )
                    & ( street @ Y0 @ mactual )
                    & ( way @ Y0 @ mactual )
                    & ( lonely @ Y0 @ mactual )
                    & ( chevy @ Y1 @ mactual )
                    & ( car @ Y1 @ mactual )
                    & ( white @ Y1 @ mactual )
                    & ( dirty @ Y1 @ mactual )
                    & ( old @ Y1 @ mactual )
                    & ( barrel @ X3 @ Y1 @ mactual )
                    & ( down @ X3 @ Y0 @ mactual )
                    & ( in @ X3 @ X2 @ mactual )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f1232]) ).

thf(f1232,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( hollywood @ X1 @ mactual )
                          & ( city @ X1 @ mactual )
                          & ( event @ Y0 @ mactual )
                          & ( chevy @ Y1 @ mactual )
                          & ( car @ Y1 @ mactual )
                          & ( white @ Y1 @ mactual )
                          & ( dirty @ Y1 @ mactual )
                          & ( old @ Y1 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( barrel @ Y0 @ Y1 @ mactual )
                          & ( down @ Y0 @ Y2 @ mactual )
                          & ( in @ Y0 @ X1 @ mactual )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) )
          @ X4 ) )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( hollywood @ X2 @ mactual )
                    & ( city @ X2 @ mactual )
                    & ( event @ X3 @ mactual )
                    & ( street @ Y0 @ mactual )
                    & ( way @ Y0 @ mactual )
                    & ( lonely @ Y0 @ mactual )
                    & ( chevy @ Y1 @ mactual )
                    & ( car @ Y1 @ mactual )
                    & ( white @ Y1 @ mactual )
                    & ( dirty @ Y1 @ mactual )
                    & ( old @ Y1 @ mactual )
                    & ( barrel @ X3 @ Y1 @ mactual )
                    & ( down @ X3 @ Y0 @ mactual )
                    & ( in @ X3 @ X2 @ mactual )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) ) ),
    inference(pi_clausification,[status(thm)],[f1231]) ).

thf(f1231,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( hollywood @ X1 @ mactual )
                          & ( city @ X1 @ mactual )
                          & ( event @ Y0 @ mactual )
                          & ( chevy @ Y1 @ mactual )
                          & ( car @ Y1 @ mactual )
                          & ( white @ Y1 @ mactual )
                          & ( dirty @ Y1 @ mactual )
                          & ( old @ Y1 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( barrel @ Y0 @ Y1 @ mactual )
                          & ( down @ Y0 @ Y2 @ mactual )
                          & ( in @ Y0 @ X1 @ mactual )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( hollywood @ X2 @ mactual )
                    & ( city @ X2 @ mactual )
                    & ( event @ X3 @ mactual )
                    & ( street @ Y0 @ mactual )
                    & ( way @ Y0 @ mactual )
                    & ( lonely @ Y0 @ mactual )
                    & ( chevy @ Y1 @ mactual )
                    & ( car @ Y1 @ mactual )
                    & ( white @ Y1 @ mactual )
                    & ( dirty @ Y1 @ mactual )
                    & ( old @ Y1 @ mactual )
                    & ( barrel @ X3 @ Y1 @ mactual )
                    & ( down @ X3 @ Y0 @ mactual )
                    & ( in @ X3 @ X2 @ mactual )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      | ( $false
        = ( eiw_di @ X3 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1230]) ).

thf(f1230,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( $false
        = ( eiw_di @ X2 @ mactual ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( hollywood @ X2 @ mactual )
                      & ( city @ X2 @ mactual )
                      & ( event @ X3 @ mactual )
                      & ( street @ Y0 @ mactual )
                      & ( way @ Y0 @ mactual )
                      & ( lonely @ Y0 @ mactual )
                      & ( chevy @ Y1 @ mactual )
                      & ( car @ Y1 @ mactual )
                      & ( white @ Y1 @ mactual )
                      & ( dirty @ Y1 @ mactual )
                      & ( old @ Y1 @ mactual )
                      & ( barrel @ X3 @ Y1 @ mactual )
                      & ( down @ X3 @ Y0 @ mactual )
                      & ( in @ X3 @ X2 @ mactual )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) )
          & ( eiw_di @ X3 @ mactual ) ) )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( hollywood @ X1 @ mactual )
                          & ( city @ X1 @ mactual )
                          & ( event @ Y0 @ mactual )
                          & ( chevy @ Y1 @ mactual )
                          & ( car @ Y1 @ mactual )
                          & ( white @ Y1 @ mactual )
                          & ( dirty @ Y1 @ mactual )
                          & ( old @ Y1 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( barrel @ Y0 @ Y1 @ mactual )
                          & ( down @ Y0 @ Y2 @ mactual )
                          & ( in @ Y0 @ X1 @ mactual )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f1229]) ).

thf(f1229,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( $false
        = ( ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( hollywood @ X2 @ mactual )
                          & ( city @ X2 @ mactual )
                          & ( event @ Y0 @ mactual )
                          & ( street @ Y1 @ mactual )
                          & ( way @ Y1 @ mactual )
                          & ( lonely @ Y1 @ mactual )
                          & ( chevy @ Y2 @ mactual )
                          & ( car @ Y2 @ mactual )
                          & ( white @ Y2 @ mactual )
                          & ( dirty @ Y2 @ mactual )
                          & ( old @ Y2 @ mactual )
                          & ( barrel @ Y0 @ Y2 @ mactual )
                          & ( down @ Y0 @ Y1 @ mactual )
                          & ( in @ Y0 @ X2 @ mactual )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) )
          @ X3 ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( hollywood @ X1 @ mactual )
                          & ( city @ X1 @ mactual )
                          & ( event @ Y0 @ mactual )
                          & ( chevy @ Y1 @ mactual )
                          & ( car @ Y1 @ mactual )
                          & ( white @ Y1 @ mactual )
                          & ( dirty @ Y1 @ mactual )
                          & ( old @ Y1 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( barrel @ Y0 @ Y1 @ mactual )
                          & ( down @ Y0 @ Y2 @ mactual )
                          & ( in @ Y0 @ X1 @ mactual )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) ) ),
    inference(pi_clausification,[status(thm)],[f1228]) ).

thf(f1228,plain,
    ! [X2: $i,X1: $i] :
      ( ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( hollywood @ X2 @ mactual )
                          & ( city @ X2 @ mactual )
                          & ( event @ Y0 @ mactual )
                          & ( street @ Y1 @ mactual )
                          & ( way @ Y1 @ mactual )
                          & ( lonely @ Y1 @ mactual )
                          & ( chevy @ Y2 @ mactual )
                          & ( car @ Y2 @ mactual )
                          & ( white @ Y2 @ mactual )
                          & ( dirty @ Y2 @ mactual )
                          & ( old @ Y2 @ mactual )
                          & ( barrel @ Y0 @ Y2 @ mactual )
                          & ( down @ Y0 @ Y1 @ mactual )
                          & ( in @ Y0 @ X2 @ mactual )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( hollywood @ X1 @ mactual )
                          & ( city @ X1 @ mactual )
                          & ( event @ Y0 @ mactual )
                          & ( chevy @ Y1 @ mactual )
                          & ( car @ Y1 @ mactual )
                          & ( white @ Y1 @ mactual )
                          & ( dirty @ Y1 @ mactual )
                          & ( old @ Y1 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( barrel @ Y0 @ Y1 @ mactual )
                          & ( down @ Y0 @ Y2 @ mactual )
                          & ( in @ Y0 @ X1 @ mactual )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( eiw_di @ X2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1227]) ).

thf(f1227,plain,
    ! [X2: $i,X1: $i] :
      ( ( $false
        = ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( hollywood @ X2 @ mactual )
                            & ( city @ X2 @ mactual )
                            & ( event @ Y0 @ mactual )
                            & ( street @ Y1 @ mactual )
                            & ( way @ Y1 @ mactual )
                            & ( lonely @ Y1 @ mactual )
                            & ( chevy @ Y2 @ mactual )
                            & ( car @ Y2 @ mactual )
                            & ( white @ Y2 @ mactual )
                            & ( dirty @ Y2 @ mactual )
                            & ( old @ Y2 @ mactual )
                            & ( barrel @ Y0 @ Y2 @ mactual )
                            & ( down @ Y0 @ Y1 @ mactual )
                            & ( in @ Y0 @ X2 @ mactual )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) )
          & ( eiw_di @ X2 @ mactual ) ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( hollywood @ X1 @ mactual )
                          & ( city @ X1 @ mactual )
                          & ( event @ Y0 @ mactual )
                          & ( chevy @ Y1 @ mactual )
                          & ( car @ Y1 @ mactual )
                          & ( white @ Y1 @ mactual )
                          & ( dirty @ Y1 @ mactual )
                          & ( old @ Y1 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( barrel @ Y0 @ Y1 @ mactual )
                          & ( down @ Y0 @ Y2 @ mactual )
                          & ( in @ Y0 @ X1 @ mactual )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f1226]) ).

thf(f1226,plain,
    ! [X2: $i,X1: $i] :
      ( ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( hollywood @ X1 @ mactual )
                          & ( city @ X1 @ mactual )
                          & ( event @ Y0 @ mactual )
                          & ( chevy @ Y1 @ mactual )
                          & ( car @ Y1 @ mactual )
                          & ( white @ Y1 @ mactual )
                          & ( dirty @ Y1 @ mactual )
                          & ( old @ Y1 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( barrel @ Y0 @ Y1 @ mactual )
                          & ( down @ Y0 @ Y2 @ mactual )
                          & ( in @ Y0 @ X1 @ mactual )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      | ( $false
        = ( ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( hollywood @ Y0 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( street @ Y2 @ mactual )
                                & ( way @ Y2 @ mactual )
                                & ( lonely @ Y2 @ mactual )
                                & ( chevy @ Y3 @ mactual )
                                & ( car @ Y3 @ mactual )
                                & ( white @ Y3 @ mactual )
                                & ( dirty @ Y3 @ mactual )
                                & ( old @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y3 @ mactual )
                                & ( down @ Y1 @ Y2 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) )
          @ X2 ) ) ),
    inference(pi_clausification,[status(thm)],[f1225]) ).

thf(f1225,plain,
    ! [X1: $i] :
      ( ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( hollywood @ Y0 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( street @ Y2 @ mactual )
                                & ( way @ Y2 @ mactual )
                                & ( lonely @ Y2 @ mactual )
                                & ( chevy @ Y3 @ mactual )
                                & ( car @ Y3 @ mactual )
                                & ( white @ Y3 @ mactual )
                                & ( dirty @ Y3 @ mactual )
                                & ( old @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y3 @ mactual )
                                & ( down @ Y1 @ Y2 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( hollywood @ X1 @ mactual )
                          & ( city @ X1 @ mactual )
                          & ( event @ Y0 @ mactual )
                          & ( chevy @ Y1 @ mactual )
                          & ( car @ Y1 @ mactual )
                          & ( white @ Y1 @ mactual )
                          & ( dirty @ Y1 @ mactual )
                          & ( old @ Y1 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( barrel @ Y0 @ Y1 @ mactual )
                          & ( down @ Y0 @ Y2 @ mactual )
                          & ( in @ Y0 @ X1 @ mactual )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f1224]) ).

thf(f1224,plain,
    ! [X1: $i] :
      ( ( $false
        = ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( ?? @ $i
                  @ ^ [Y1: $i] :
                      ( ( ?? @ $i
                        @ ^ [Y2: $i] :
                            ( ( hollywood @ X1 @ mactual )
                            & ( city @ X1 @ mactual )
                            & ( event @ Y0 @ mactual )
                            & ( chevy @ Y1 @ mactual )
                            & ( car @ Y1 @ mactual )
                            & ( white @ Y1 @ mactual )
                            & ( dirty @ Y1 @ mactual )
                            & ( old @ Y1 @ mactual )
                            & ( street @ Y2 @ mactual )
                            & ( way @ Y2 @ mactual )
                            & ( lonely @ Y2 @ mactual )
                            & ( barrel @ Y0 @ Y1 @ mactual )
                            & ( down @ Y0 @ Y2 @ mactual )
                            & ( in @ Y0 @ X1 @ mactual )
                            & ( eiw_di @ Y2 @ mactual ) ) )
                      & ( eiw_di @ Y1 @ mactual ) ) )
                & ( eiw_di @ Y0 @ mactual ) ) )
          & ( eiw_di @ X1 @ mactual ) ) )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( hollywood @ Y0 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( street @ Y2 @ mactual )
                                & ( way @ Y2 @ mactual )
                                & ( lonely @ Y2 @ mactual )
                                & ( chevy @ Y3 @ mactual )
                                & ( car @ Y3 @ mactual )
                                & ( white @ Y3 @ mactual )
                                & ( dirty @ Y3 @ mactual )
                                & ( old @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y3 @ mactual )
                                & ( down @ Y1 @ Y2 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f1223]) ).

thf(f1223,plain,
    ! [X1: $i] :
      ( ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( hollywood @ Y0 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( street @ Y2 @ mactual )
                                & ( way @ Y2 @ mactual )
                                & ( lonely @ Y2 @ mactual )
                                & ( chevy @ Y3 @ mactual )
                                & ( car @ Y3 @ mactual )
                                & ( white @ Y3 @ mactual )
                                & ( dirty @ Y3 @ mactual )
                                & ( old @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y3 @ mactual )
                                & ( down @ Y1 @ Y2 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) )
      | ( $false
        = ( ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( hollywood @ Y0 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( chevy @ Y2 @ mactual )
                                & ( car @ Y2 @ mactual )
                                & ( white @ Y2 @ mactual )
                                & ( dirty @ Y2 @ mactual )
                                & ( old @ Y2 @ mactual )
                                & ( street @ Y3 @ mactual )
                                & ( way @ Y3 @ mactual )
                                & ( lonely @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y2 @ mactual )
                                & ( down @ Y1 @ Y3 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) )
          @ X1 ) ) ),
    inference(pi_clausification,[status(thm)],[f942]) ).

thf(f942,plain,
    ( ( $false
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( hollywood @ Y0 @ mactual )
                              & ( city @ Y0 @ mactual )
                              & ( event @ Y1 @ mactual )
                              & ( chevy @ Y2 @ mactual )
                              & ( car @ Y2 @ mactual )
                              & ( white @ Y2 @ mactual )
                              & ( dirty @ Y2 @ mactual )
                              & ( old @ Y2 @ mactual )
                              & ( street @ Y3 @ mactual )
                              & ( way @ Y3 @ mactual )
                              & ( lonely @ Y3 @ mactual )
                              & ( barrel @ Y1 @ Y2 @ mactual )
                              & ( down @ Y1 @ Y3 @ mactual )
                              & ( in @ Y1 @ Y0 @ mactual )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) ) )
    | ( $false
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( hollywood @ Y0 @ mactual )
                              & ( city @ Y0 @ mactual )
                              & ( event @ Y1 @ mactual )
                              & ( street @ Y2 @ mactual )
                              & ( way @ Y2 @ mactual )
                              & ( lonely @ Y2 @ mactual )
                              & ( chevy @ Y3 @ mactual )
                              & ( car @ Y3 @ mactual )
                              & ( white @ Y3 @ mactual )
                              & ( dirty @ Y3 @ mactual )
                              & ( old @ Y3 @ mactual )
                              & ( barrel @ Y1 @ Y3 @ mactual )
                              & ( down @ Y1 @ Y2 @ mactual )
                              & ( in @ Y1 @ Y0 @ mactual )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f67]) ).

thf(f67,plain,
    ( ( $false
      = ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( hollywood @ Y0 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( street @ Y2 @ mactual )
                                & ( way @ Y2 @ mactual )
                                & ( lonely @ Y2 @ mactual )
                                & ( chevy @ Y3 @ mactual )
                                & ( car @ Y3 @ mactual )
                                & ( white @ Y3 @ mactual )
                                & ( dirty @ Y3 @ mactual )
                                & ( old @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y3 @ mactual )
                                & ( down @ Y1 @ Y2 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) )
       => ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( ?? @ $i
                      @ ^ [Y2: $i] :
                          ( ( ?? @ $i
                            @ ^ [Y3: $i] :
                                ( ( hollywood @ Y0 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( chevy @ Y2 @ mactual )
                                & ( car @ Y2 @ mactual )
                                & ( white @ Y2 @ mactual )
                                & ( dirty @ Y2 @ mactual )
                                & ( old @ Y2 @ mactual )
                                & ( street @ Y3 @ mactual )
                                & ( way @ Y3 @ mactual )
                                & ( lonely @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y2 @ mactual )
                                & ( down @ Y1 @ Y3 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( eiw_di @ Y3 @ mactual ) ) )
                          & ( eiw_di @ Y2 @ mactual ) ) )
                    & ( eiw_di @ Y1 @ mactual ) ) )
              & ( eiw_di @ Y0 @ mactual ) ) ) ) )
    | ( $false
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( ?? @ $i
                    @ ^ [Y2: $i] :
                        ( ( ?? @ $i
                          @ ^ [Y3: $i] :
                              ( ( hollywood @ Y0 @ mactual )
                              & ( city @ Y0 @ mactual )
                              & ( event @ Y1 @ mactual )
                              & ( street @ Y2 @ mactual )
                              & ( way @ Y2 @ mactual )
                              & ( lonely @ Y2 @ mactual )
                              & ( chevy @ Y3 @ mactual )
                              & ( car @ Y3 @ mactual )
                              & ( white @ Y3 @ mactual )
                              & ( dirty @ Y3 @ mactual )
                              & ( old @ Y3 @ mactual )
                              & ( barrel @ Y1 @ Y3 @ mactual )
                              & ( down @ Y1 @ Y2 @ mactual )
                              & ( in @ Y1 @ Y0 @ mactual )
                              & ( eiw_di @ Y3 @ mactual ) ) )
                        & ( eiw_di @ Y2 @ mactual ) ) )
                  & ( eiw_di @ Y1 @ mactual ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NLP001^17 : TPTP v9.2.1. Released v8.1.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.34  % Computer : n008.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Feb 24 10:43:09 EST 2026
% 0.16/0.34  % CPUTime  : 
% 0.16/0.34  Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.29/0.49  ---- Original DTF file ---
% 0.29/0.49  thf(spec,logic,$$dhol).
% 0.29/0.49  %------------------------------------------------------------------------------
% 0.29/0.49  % File     : NLP001^17 : TPTP v9.2.1. Released v8.1.0.
% 0.29/0.49  % Domain   : Natural Language Processing
% 0.29/0.49  % Problem  : "The old dirty white Chevy" problem
% 0.29/0.49  % Version  : [BP13] axioms.
% 0.29/0.49  % English  : 
% 0.29/0.49  
% 0.29/0.49  % Refs     : [RO12]  Raths & Otten (2012), The QMLTP Problem Library for Fi
% 0.29/0.49  %          : [BP13]  Benzmueller & Paulson (2013), Quantified Multimodal Lo
% 0.29/0.49  %          : [Ste22] Steen (2022), An Extensible Logic Embedding Tool for L
% 0.29/0.49  % Source   : [TPTP]
% 0.29/0.49  % Names    : NLP001+1 [QMLTP]
% 0.29/0.49  
% 0.29/0.49  % Status   : Theorem 
% 0.29/0.49  % Rating   : 0.11 v9.1.0, 0.12 v9.0.0, 0.30 v8.2.0, 0.38 v8.1.0
% 0.29/0.49  % Syntax   : Number of formulae    :   43 (  12 unt;  28 typ;  10 def)
% 0.29/0.49  %            Number of atoms       :  160 (  10 equ;   0 cnn)
% 0.29/0.49  %            Maximal formula atoms :  128 (  10 avg)
% 0.29/0.49  %            Number of connectives :  248 (   1   ~;   1   |;   5   &; 235   @)
% 0.29/0.49  %                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
% 0.29/0.49  %            Maximal formula depth :   30 (   4 avg)
% 0.29/0.49  %            Number of types       :    3 (   1 usr)
% 0.29/0.49  %            Number of type conns  :   90 (  90   >;   0   *;   0   +;   0  <<)
% 0.29/0.49  %            Number of symbols     :   28 (  27 usr;   1 con; 0-3 aty)
% 0.29/0.49  %            Number of variables   :   52 (  39   ^;  10   !;   3   ?;  52   :)
% 0.29/0.49  % SPC      : TH0_THM_EQU_NAR
% 0.29/0.49  
% 0.29/0.49  % Comments : This output was generated by embedproblem, version 1.7.1 (library
% 0.29/0.49  %            version 1.3). Generated on Thu Apr 28 13:18:18 EDT 2022 using
% 0.29/0.49  %            'modal' embedding, version 1.5.2. Logic specification used:
% 0.29/0.49  %            $modal == [$constants == $rigid,$quantification == $cumulative,
% 0.29/0.49  %            $modalities == $modal_system_S5].
% 0.29/0.49  %------------------------------------------------------------------------------
% 0.29/0.49  thf(mworld,type,
% 0.29/0.49      mworld: $tType ).
% 0.29/0.49  
% 0.29/0.49  thf(mrel_type,type,
% 0.29/0.49      mrel: mworld > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(mactual_type,type,
% 0.29/0.49      mactual: mworld ).
% 0.29/0.49  
% 0.29/0.49  thf(mlocal_type,type,
% 0.29/0.49      mlocal: ( mworld > $o ) > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(mlocal_def,definition,
% 0.29/0.49      ( mlocal
% 0.29/0.49      = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 0.29/0.49  
% 0.29/0.49  thf(mnot_type,type,
% 0.29/0.49      mnot: ( mworld > $o ) > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(mand_type,type,
% 0.29/0.49      mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(mor_type,type,
% 0.29/0.49      mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(mimplies_type,type,
% 0.29/0.49      mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(mequiv_type,type,
% 0.29/0.49      mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(mnot_def,definition,
% 0.29/0.49      ( mnot
% 0.29/0.49      = ( ^ [A: mworld > $o,W: mworld] :
% 0.29/0.49            ~ ( A @ W ) ) ) ).
% 0.29/0.49  
% 0.29/0.49  thf(mand_def,definition,
% 0.29/0.49      ( mand
% 0.29/0.49      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.29/0.49            ( ( A @ W )
% 0.29/0.49            & ( B @ W ) ) ) ) ).
% 0.29/0.49  
% 0.29/0.49  thf(mor_def,definition,
% 0.29/0.49      ( mor
% 0.29/0.49      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.29/0.49            ( ( A @ W )
% 0.29/0.49            | ( B @ W ) ) ) ) ).
% 0.29/0.49  
% 0.29/0.49  thf(mimplies_def,definition,
% 0.29/0.49      ( mimplies
% 0.29/0.49      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.29/0.49            ( ( A @ W )
% 0.29/0.49           => ( B @ W ) ) ) ) ).
% 0.29/0.49  
% 0.29/0.49  thf(mequiv_def,definition,
% 0.29/0.49      ( mequiv
% 0.29/0.49      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.29/0.49            ( ( A @ W )
% 0.29/0.49          <=> ( B @ W ) ) ) ) ).
% 0.29/0.49  
% 0.29/0.49  thf(mbox_type,type,
% 0.29/0.49      mbox: ( mworld > $o ) > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(mbox_def,definition,
% 0.29/0.49      ( mbox
% 0.29/0.49      = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.29/0.49          ! [V: mworld] :
% 0.29/0.49            ( ( mrel @ W @ V )
% 0.29/0.49           => ( Phi @ V ) ) ) ) ).
% 0.29/0.49  
% 0.29/0.49  thf(mdia_type,type,
% 0.29/0.49      mdia: ( mworld > $o ) > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(mdia_def,definition,
% 0.29/0.49      ( mdia
% 0.29/0.49      = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.29/0.49          ? [V: mworld] :
% 0.29/0.49            ( ( mrel @ W @ V )
% 0.29/0.49            & ( Phi @ V ) ) ) ) ).
% 0.29/0.49  
% 0.29/0.49  thf(mrel_reflexive,axiom,
% 0.29/0.49      ! [W: mworld] : ( mrel @ W @ W ) ).
% 0.29/0.49  
% 0.29/0.49  thf(mrel_euclidean,axiom,
% 0.29/0.49      ! [W: mworld,V: mworld,U: mworld] :
% 0.29/0.49        ( ( ( mrel @ W @ U )
% 0.29/0.49          & ( mrel @ W @ V ) )
% 0.29/0.49       => ( mrel @ U @ V ) ) ).
% 0.29/0.49  
% 0.29/0.49  thf(eiw_di_type,type,
% 0.29/0.49      eiw_di: $i > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(eiw_di_nonempty,axiom,
% 0.29/0.49      ! [W: mworld] :
% 0.29/0.49      ? [X: $i] : ( eiw_di @ X @ W ) ).
% 0.29/0.49  
% 0.29/0.49  thf(eiw_di_cumul,axiom,
% 0.29/0.49      ! [W: mworld,V: mworld,X: $i] :
% 0.29/0.49        ( ( ( eiw_di @ X @ W )
% 0.29/0.49          & ( mrel @ W @ V ) )
% 0.29/0.49       => ( eiw_di @ X @ V ) ) ).
% 0.29/0.49  
% 0.29/0.49  thf(mforall_di_type,type,
% 0.29/0.49      mforall_di: ( $i > mworld > $o ) > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(mforall_di_def,definition,
% 0.29/0.49      ( mforall_di
% 0.29/0.49      = ( ^ [A: $i > mworld > $o,W: mworld] :
% 0.29/0.49          ! [X: $i] :
% 0.29/0.49            ( ( eiw_di @ X @ W )
% 0.29/0.49           => ( A @ X @ W ) ) ) ) ).
% 0.29/0.49  
% 0.29/0.49  thf(mexists_di_type,type,
% 0.29/0.49      mexists_di: ( $i > mworld > $o ) > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(mexists_di_def,definition,
% 0.29/0.49      ( mexists_di
% 0.29/0.49      = ( ^ [A: $i > mworld > $o,W: mworld] :
% 0.29/0.49          ? [X: $i] :
% 0.29/0.49            ( ( eiw_di @ X @ W )
% 0.29/0.49            & ( A @ X @ W ) ) ) ) ).
% 0.29/0.49  
% 0.29/0.49  thf(chevy_decl,type,
% 0.29/0.49      chevy: $i > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(dirty_decl,type,
% 0.29/0.49      dirty: $i > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(barrel_decl,type,
% 0.29/0.49      barrel: $i > $i > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(hollywood_decl,type,
% 0.29/0.49      hollywood: $i > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(city_decl,type,
% 0.29/0.49      city: $i > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(in_decl,type,
% 0.29/0.49      in: $i > $i > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(old_decl,type,
% 0.29/0.49      old: $i > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(down_decl,type,
% 0.29/0.49      down: $i > $i > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(way_decl,type,
% 0.29/0.49      way: $i > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(white_decl,type,
% 0.29/0.49      white: $i > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(car_decl,type,
% 0.29/0.49      car: $i > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(street_decl,type,
% 0.29/0.49      street: $i > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(event_decl,type,
% 0.29/0.49      event: $i > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(lonely_decl,type,
% 0.29/0.49      lonely: $i > mworld > $o ).
% 0.29/0.49  
% 0.29/0.49  thf(co1,conjecture,
% 0.29/0.49      ( mlocal
% 0.29/0.49      @ ( mand
% 0.29/0.49        @ ( mimplies
% 0.29/0.49          @ ( mexists_di
% 0.29/0.49            @ ^ [U: $i] :
% 0.29/0.49                ( mexists_di
% 0.29/0.49                @ ^ [V: $i] :
% 0.29/0.49                    ( mexists_di
% 0.29/0.49                    @ ^ [W: $i] :
% 0.29/0.49                        ( mexists_di
% 0.29/0.49                        @ ^ [X: $i] : ( mand @ ( hollywood @ U ) @ ( mand @ ( city @ U ) @ ( mand @ ( event @ V ) @ ( mand @ ( street @ W ) @ ( mand @ ( way @ W ) @ ( mand @ ( lonely @ W ) @ ( mand @ ( chevy @ X ) @ ( mand @ ( car @ X ) @ ( mand @ ( white @ X ) @ ( mand @ ( dirty @ X ) @ ( mand @ ( old @ X ) @ ( mand @ ( barrel @ V @ X ) @ ( mand @ ( down @ V @ W ) @ ( in @ V @ U ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.29/0.49          @ ( mexists_di
% 0.29/0.49            @ ^ [Y: $i] :
% 0.29/0.49                ( mexists_di
% 0.29/0.49                @ ^ [Z: $i] :
% 0.29/0.49                    ( mexists_di
% 0.29/0.49                    @ ^ [X1: $i] :
% 0.29/0.49                        ( mexists_di
% 0.29/0.49                        @ ^ [X2: $i] : ( mand @ ( hollywood @ Y ) @ ( mand @ ( city @ Y ) @ ( mand @ ( event @ Z ) @ ( mand @ ( chevy @ X1 ) @ ( mand @ ( car @ X1 ) @ ( mand @ ( white @ X1 ) @ ( mand @ ( dirty @ X1 ) @ ( mand @ ( old @ X1 ) @ ( mand @ ( street @ X2 ) @ ( mand @ ( way @ X2 ) @ ( mand @ ( lonely @ X2 ) @ ( mand @ ( barrel @ Z @ X1 ) @ ( mand @ ( down @ Z @ X2 ) @ ( in @ Z @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.29/0.49        @ ( mimplies
% 0.29/0.49          @ ( mexists_di
% 0.29/0.49            @ ^ [X3: $i] :
% 0.29/0.49                ( mexists_di
% 0.29/0.49                @ ^ [X4: $i] :
% 0.29/0.49                    ( mexists_di
% 0.29/0.49                    @ ^ [X5: $i] :
% 0.29/0.49                        ( mexists_di
% 0.29/0.49                        @ ^ [X6: $i] : ( mand @ ( hollywood @ X3 ) @ ( mand @ ( city @ X3 ) @ ( mand @ ( event @ X4 ) @ ( mand @ ( chevy @ X5 ) @ ( mand @ ( car @ X5 ) @ ( mand @ ( white @ X5 ) @ ( mand @ ( dirty @ X5 ) @ ( mand @ ( old @ X5 ) @ ( mand @ ( street @ X6 ) @ ( mand @ ( way @ X6 ) @ ( mand @ ( lonely @ X6 ) @ ( mand @ ( barrel @ X4 @ X5 ) @ ( mand @ ( down @ X4 @ X6 ) @ ( in @ X4 @ X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.29/0.49          @ ( mexists_di
% 0.29/0.49            @ ^ [X7: $i] :
% 0.29/0.49                ( mexists_di
% 0.29/0.49                @ ^ [X8: $i] :
% 0.29/0.49                    ( mexists_di
% 0.29/0.49                    @ ^ [X9: $i] :
% 0.29/0.49                        ( mexists_di
% 0.29/0.49                        @ ^ [X10: $i] : ( mand @ ( hollywood @ X7 ) @ ( mand @ ( city @ X7 ) @ ( mand @ ( event @ X8 ) @ ( mand @ ( street @ X9 ) @ ( mand @ ( way @ X9 ) @ ( mand @ ( lonely @ X9 ) @ ( mand @ ( chevy @ X10 ) @ ( mand @ ( car @ X10 ) @ ( mand @ ( white @ X10 ) @ ( mand @ ( dirty @ X10 ) @ ( mand @ ( old @ X10 ) @ ( mand @ ( barrel @ X8 @ X10 ) @ ( mand @ ( down @ X8 @ X9 ) @ ( in @ X8 @ X7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.49  
% 0.29/0.49  %------------------------------------------------------------------------------
% 0.29/0.49  ------------------------
% 1.98/1.53  ---- Embedded in THF ---
% 1.98/1.53  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.98/1.53  %%% Generated on Tue Feb 24 10:43:10 EST 2026
% 1.98/1.53  %%% using '$$dhol' embedding, version 1.3.0.
% 1.98/1.53  %%% Logic specification used:
% 1.98/1.53  %%% thf(spec, logic, $$dhol).
% 1.98/1.53  
% 1.98/1.53  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.twi9RYEzwQ/DTF2DTF1393.p
% See solution above
% 1.98/1.53  ------------------------
% 1.98/1.54  ---- Cleaned THF ---
% 1.98/1.54  thf(mworld,type,
% 1.98/1.54      mworld: $tType ).
% 1.98/1.54  
% 1.98/1.54  thf(mrel_type,type,
% 1.98/1.54      mrel: mworld > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(mactual_type,type,
% 1.98/1.54      mactual: mworld ).
% 1.98/1.54  
% 1.98/1.54  thf(mlocal_type,type,
% 1.98/1.54      mlocal: ( mworld > $o ) > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(mlocal_def,definition,
% 1.98/1.54      ( mlocal
% 1.98/1.54      = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 1.98/1.54  
% 1.98/1.54  thf(mnot_type,type,
% 1.98/1.54      mnot: ( mworld > $o ) > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(mand_type,type,
% 1.98/1.54      mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(mor_type,type,
% 1.98/1.54      mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(mimplies_type,type,
% 1.98/1.54      mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(mequiv_type,type,
% 1.98/1.54      mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(mnot_def,definition,
% 1.98/1.54      ( mnot
% 1.98/1.54      = ( ^ [A: mworld > $o,W: mworld] :
% 1.98/1.54            ~ ( A @ W ) ) ) ).
% 1.98/1.54  
% 1.98/1.54  thf(mand_def,definition,
% 1.98/1.54      ( mand
% 1.98/1.54      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 1.98/1.54            ( ( A @ W )
% 1.98/1.54            & ( B @ W ) ) ) ) ).
% 1.98/1.54  
% 1.98/1.54  thf(mor_def,definition,
% 1.98/1.54      ( mor
% 1.98/1.54      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 1.98/1.54            ( ( A @ W )
% 1.98/1.54            | ( B @ W ) ) ) ) ).
% 1.98/1.54  
% 1.98/1.54  thf(mimplies_def,definition,
% 1.98/1.54      ( mimplies
% 1.98/1.54      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 1.98/1.54            ( ( A @ W )
% 1.98/1.54           => ( B @ W ) ) ) ) ).
% 1.98/1.54  
% 1.98/1.54  thf(mequiv_def,definition,
% 1.98/1.54      ( mequiv
% 1.98/1.54      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 1.98/1.54            ( ( A @ W )
% 1.98/1.54          <=> ( B @ W ) ) ) ) ).
% 1.98/1.54  
% 1.98/1.54  thf(mbox_type,type,
% 1.98/1.54      mbox: ( mworld > $o ) > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(mbox_def,definition,
% 1.98/1.54      ( mbox
% 1.98/1.54      = ( ^ [Phi: mworld > $o,W: mworld] :
% 1.98/1.54          ! [V: mworld] :
% 1.98/1.54            ( ( mrel @ W @ V )
% 1.98/1.54           => ( Phi @ V ) ) ) ) ).
% 1.98/1.54  
% 1.98/1.54  thf(mdia_type,type,
% 1.98/1.54      mdia: ( mworld > $o ) > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(mdia_def,definition,
% 1.98/1.54      ( mdia
% 1.98/1.54      = ( ^ [Phi: mworld > $o,W: mworld] :
% 1.98/1.54          ? [V: mworld] :
% 1.98/1.54            ( ( mrel @ W @ V )
% 1.98/1.54            & ( Phi @ V ) ) ) ) ).
% 1.98/1.54  
% 1.98/1.54  thf(mrel_reflexive,axiom,
% 1.98/1.54      ! [W: mworld] : ( mrel @ W @ W ) ).
% 1.98/1.54  
% 1.98/1.54  thf(mrel_euclidean,axiom,
% 1.98/1.54      ! [W: mworld,V: mworld,U: mworld] :
% 1.98/1.54        ( ( ( mrel @ W @ U )
% 1.98/1.54          & ( mrel @ W @ V ) )
% 1.98/1.54       => ( mrel @ U @ V ) ) ).
% 1.98/1.54  
% 1.98/1.54  thf(eiw_di_type,type,
% 1.98/1.54      eiw_di: $i > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(eiw_di_nonempty,axiom,
% 1.98/1.54      ! [W: mworld] :
% 1.98/1.54      ? [X: $i] : ( eiw_di @ X @ W ) ).
% 1.98/1.54  
% 1.98/1.54  thf(eiw_di_cumul,axiom,
% 1.98/1.54      ! [W: mworld,V: mworld,X: $i] :
% 1.98/1.54        ( ( ( eiw_di @ X @ W )
% 1.98/1.54          & ( mrel @ W @ V ) )
% 1.98/1.54       => ( eiw_di @ X @ V ) ) ).
% 1.98/1.54  
% 1.98/1.54  thf(mforall_di_type,type,
% 1.98/1.54      mforall_di: ( $i > mworld > $o ) > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(mforall_di_def,definition,
% 1.98/1.54      ( mforall_di
% 1.98/1.54      = ( ^ [A: $i > mworld > $o,W: mworld] :
% 1.98/1.54          ! [X: $i] :
% 1.98/1.54            ( ( eiw_di @ X @ W )
% 1.98/1.54           => ( A @ X @ W ) ) ) ) ).
% 1.98/1.54  
% 1.98/1.54  thf(mexists_di_type,type,
% 1.98/1.54      mexists_di: ( $i > mworld > $o ) > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(mexists_di_def,definition,
% 1.98/1.54      ( mexists_di
% 1.98/1.54      = ( ^ [A: $i > mworld > $o,W: mworld] :
% 1.98/1.54          ? [X: $i] :
% 1.98/1.54            ( ( eiw_di @ X @ W )
% 1.98/1.54            & ( A @ X @ W ) ) ) ) ).
% 1.98/1.54  
% 1.98/1.54  thf(chevy_decl,type,
% 1.98/1.54      chevy: $i > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(dirty_decl,type,
% 1.98/1.54      dirty: $i > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(barrel_decl,type,
% 1.98/1.54      barrel: $i > $i > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(hollywood_decl,type,
% 1.98/1.54      hollywood: $i > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(city_decl,type,
% 1.98/1.54      city: $i > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(in_decl,type,
% 1.98/1.54      in: $i > $i > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(old_decl,type,
% 1.98/1.54      old: $i > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(down_decl,type,
% 1.98/1.54      down: $i > $i > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(way_decl,type,
% 1.98/1.54      way: $i > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(white_decl,type,
% 1.98/1.54      white: $i > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(car_decl,type,
% 1.98/1.54      car: $i > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(street_decl,type,
% 1.98/1.54      street: $i > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(event_decl,type,
% 1.98/1.54      event: $i > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(lonely_decl,type,
% 1.98/1.54      lonely: $i > mworld > $o ).
% 1.98/1.54  
% 1.98/1.54  thf(co1,conjecture,
% 1.98/1.54      ( mlocal
% 1.98/1.54      @ ( mand
% 1.98/1.54        @ ( mimplies
% 1.98/1.54          @ ( mexists_di
% 1.98/1.54            @ ^ [U: $i] :
% 1.98/1.54                ( mexists_di
% 1.98/1.54                @ ^ [V: $i] :
% 1.98/1.54                    ( mexists_di
% 1.98/1.54                    @ ^ [W: $i] :
% 1.98/1.54                        ( mexists_di
% 1.98/1.54                        @ ^ [X: $i] : ( mand @ ( hollywood @ U ) @ ( mand @ ( city @ U ) @ ( mand @ ( event @ V ) @ ( mand @ ( street @ W ) @ ( mand @ ( way @ W ) @ ( mand @ ( lonely @ W ) @ ( mand @ ( chevy @ X ) @ ( mand @ ( car @ X ) @ ( mand @ ( white @ X ) @ ( mand @ ( dirty @ X ) @ ( mand @ ( old @ X ) @ ( mand @ ( barrel @ V @ X ) @ ( mand @ ( down @ V @ W ) @ ( in @ V @ U ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 1.98/1.54          @ ( mexists_di
% 1.98/1.54            @ ^ [Y: $i] :
% 1.98/1.54                ( mexists_di
% 1.98/1.54                @ ^ [Z: $i] :
% 1.98/1.54                    ( mexists_di
% 1.98/1.54                    @ ^ [X1: $i] :
% 1.98/1.54                        ( mexists_di
% 1.98/1.54                        @ ^ [X2: $i] : ( mand @ ( hollywood @ Y ) @ ( mand @ ( city @ Y ) @ ( mand @ ( event @ Z ) @ ( mand @ ( chevy @ X1 ) @ ( mand @ ( car @ X1 ) @ ( mand @ ( white @ X1 ) @ ( mand @ ( dirty @ X1 ) @ ( mand @ ( old @ X1 ) @ ( mand @ ( street @ X2 ) @ ( mand @ ( way @ X2 ) @ ( mand @ ( lonely @ X2 ) @ ( mand @ ( barrel @ Z @ X1 ) @ ( mand @ ( down @ Z @ X2 ) @ ( in @ Z @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 1.98/1.54        @ ( mimplies
% 1.98/1.54          @ ( mexists_di
% 1.98/1.54            @ ^ [X3: $i] :
% 1.98/1.54                ( mexists_di
% 1.98/1.54                @ ^ [X4: $i] :
% 1.98/1.54                    ( mexists_di
% 1.98/1.54                    @ ^ [X5: $i] :
% 1.98/1.54                        ( mexists_di
% 1.98/1.54                        @ ^ [X6: $i] : ( mand @ ( hollywood @ X3 ) @ ( mand @ ( city @ X3 ) @ ( mand @ ( event @ X4 ) @ ( mand @ ( chevy @ X5 ) @ ( mand @ ( car @ X5 ) @ ( mand @ ( white @ X5 ) @ ( mand @ ( dirty @ X5 ) @ ( mand @ ( old @ X5 ) @ ( mand @ ( street @ X6 ) @ ( mand @ ( way @ X6 ) @ ( mand @ ( lonely @ X6 ) @ ( mand @ ( barrel @ X4 @ X5 ) @ ( mand @ ( down @ X4 @ X6 ) @ ( in @ X4 @ X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 1.98/1.54          @ ( mexists_di
% 1.98/1.54            @ ^ [X7: $i] :
% 1.98/1.54                ( mexists_di
% 1.98/1.54                @ ^ [X8: $i] :
% 1.98/1.54                    ( mexists_di
% 1.98/1.54                    @ ^ [X9: $i] :
% 1.98/1.54                        ( mexists_di
% 1.98/1.54                        @ ^ [X10: $i] : ( mand @ ( hollywood @ X7 ) @ ( mand @ ( city @ X7 ) @ ( mand @ ( event @ X8 ) @ ( mand @ ( street @ X9 ) @ ( mand @ ( way @ X9 ) @ ( mand @ ( lonely @ X9 ) @ ( mand @ ( chevy @ X10 ) @ ( mand @ ( car @ X10 ) @ ( mand @ ( white @ X10 ) @ ( mand @ ( dirty @ X10 ) @ ( mand @ ( old @ X10 ) @ ( mand @ ( barrel @ X8 @ X10 ) @ ( mand @ ( down @ X8 @ X9 ) @ ( in @ X8 @ X7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 1.98/1.54  ------------------------
% 1.98/1.56  % (1525)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/2Mi)
% 1.98/1.56  % (1521)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/183Mi)
% 1.98/1.56  % (1524)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/2Mi)
% 1.98/1.56  % (1522)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/4Mi)
% 1.98/1.56  % (1523)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/27Mi)
% 1.98/1.56  % (1526)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/275Mi)
% 1.98/1.56  % (1527)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/18Mi)
% 1.98/1.56  % (1524)Instruction limit reached!
% 1.98/1.56  % (1524)------------------------------
% 1.98/1.56  % (1524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.98/1.56  % (1524)Termination reason: Unknown
% 1.98/1.56  % (1524)Termination phase: shuffling
% 1.98/1.56  % (1525)Instruction limit reached!
% 1.98/1.56  % (1525)------------------------------
% 1.98/1.56  % (1525)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.98/1.56  
% 1.98/1.56  % (1524)Memory used [KB]: 1023
% 1.98/1.56  % (1524)Time elapsed: 0.003 s
% 1.98/1.56  % (1524)Instructions burned: 2 (million)
% 1.98/1.56  % (1524)------------------------------
% 1.98/1.56  % (1524)------------------------------
% 1.98/1.56  % (1525)Termination reason: Unknown
% 1.98/1.56  % (1525)Termination phase: shuffling
% 1.98/1.56  
% 1.98/1.56  % (1525)Memory used [KB]: 1023
% 1.98/1.56  % (1525)Time elapsed: 0.003 s
% 1.98/1.56  % (1525)Instructions burned: 2 (million)
% 1.98/1.56  % (1525)------------------------------
% 1.98/1.56  % (1525)------------------------------
% 1.98/1.57  % (1522)Instruction limit reached!
% 1.98/1.57  % (1522)------------------------------
% 1.98/1.57  % (1522)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.98/1.57  % (1522)Termination reason: Unknown
% 1.98/1.57  % (1522)Termination phase: shuffling
% 1.98/1.57  
% 1.98/1.57  % (1522)Memory used [KB]: 1023
% 1.98/1.57  % (1522)Time elapsed: 0.004 s
% 1.98/1.57  % (1522)Instructions burned: 4 (million)
% 1.98/1.57  % (1522)------------------------------
% 1.98/1.57  % (1522)------------------------------
% 1.98/1.57  % (1527)Instruction limit reached!
% 1.98/1.57  % (1527)------------------------------
% 1.98/1.57  % (1527)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.98/1.57  % (1527)Termination reason: Unknown
% 1.98/1.57  % (1527)Termination phase: Saturation
% 1.98/1.57  
% 1.98/1.57  % (1527)Memory used [KB]: 5628
% 1.98/1.57  % (1527)Time elapsed: 0.010 s
% 1.98/1.57  % (1527)Instructions burned: 18 (million)
% 1.98/1.57  % (1527)------------------------------
% 1.98/1.57  % (1527)------------------------------
% 1.98/1.58  % (1523)Instruction limit reached!
% 1.98/1.58  % (1523)------------------------------
% 1.98/1.58  % (1523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.98/1.58  % (1523)Termination reason: Unknown
% 1.98/1.58  % (1523)Termination phase: Saturation
% 1.98/1.58  
% 1.98/1.58  % (1523)Memory used [KB]: 5628
% 1.98/1.58  % (1523)Time elapsed: 0.014 s
% 1.98/1.58  % (1523)Instructions burned: 28 (million)
% 1.98/1.58  % (1523)------------------------------
% 1.98/1.58  % (1523)------------------------------
% 1.98/1.58  % (1526)Refutation not found, incomplete strategy
% 1.98/1.58  % (1526)------------------------------
% 1.98/1.58  % (1526)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.98/1.58  % (1526)Termination reason: Refutation not found, incomplete strategy
% 1.98/1.58  
% 1.98/1.58  
% 1.98/1.58  % (1526)Memory used [KB]: 5628
% 1.98/1.58  % (1526)Time elapsed: 0.015 s
% 1.98/1.58  % (1526)Instructions burned: 31 (million)
% 1.98/1.58  % (1526)------------------------------
% 1.98/1.58  % (1526)------------------------------
% 1.98/1.58  % (1529)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/37Mi)
% 1.98/1.58  % (1528)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/3Mi)
% 1.98/1.58  % (1530)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/15Mi)
% 1.98/1.58  % (1528)Instruction limit reached!
% 1.98/1.58  % (1528)------------------------------
% 1.98/1.58  % (1528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.98/1.58  % (1528)Termination reason: Unknown
% 1.98/1.58  % (1528)Termination phase: shuffling
% 1.98/1.58  
% 1.98/1.58  % (1528)Memory used [KB]: 1023
% 1.98/1.58  % (1528)Time elapsed: 0.003 s
% 1.98/1.58  % (1528)Instructions burned: 3 (million)
% 1.98/1.58  % (1528)------------------------------
% 1.98/1.58  % (1528)------------------------------
% 1.98/1.59  % (1530)Instruction limit reached!
% 1.98/1.59  % (1530)------------------------------
% 1.98/1.59  % (1530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.98/1.59  % (1530)Termination reason: Unknown
% 1.98/1.59  % (1530)Termination phase: Saturation
% 1.98/1.59  
% 1.98/1.59  % (1530)Memory used [KB]: 5628
% 1.98/1.59  % (1530)Time elapsed: 0.008 s
% 1.98/1.59  % (1530)Instructions burned: 15 (million)
% 1.98/1.59  % (1530)------------------------------
% 1.98/1.59  % (1530)------------------------------
% 1.98/1.59  % (1531)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/3Mi)
% 1.98/1.59  % (1531)Instruction limit reached!
% 1.98/1.59  % (1531)------------------------------
% 1.98/1.59  % (1531)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.98/1.59  % (1531)Termination reason: Unknown
% 1.98/1.59  % (1531)Termination phase: Property scanning
% 1.98/1.59  
% 1.98/1.59  % (1531)Memory used [KB]: 1023
% 1.98/1.59  % (1531)Time elapsed: 0.004 s
% 1.98/1.59  % (1531)Instructions burned: 5 (million)
% 1.98/1.59  % (1531)------------------------------
% 1.98/1.59  % (1531)------------------------------
% 1.98/1.59  % (1532)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/1041Mi)
% 1.98/1.59  % (1533)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/7Mi)
% 2.05/1.60  % (1533)Instruction limit reached!
% 2.05/1.60  % (1533)------------------------------
% 2.05/1.60  % (1533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.60  % (1533)Termination reason: Unknown
% 2.05/1.60  % (1533)Termination phase: Property scanning
% 2.05/1.60  
% 2.05/1.60  % (1533)Memory used [KB]: 1023
% 2.05/1.60  % (1533)Time elapsed: 0.005 s
% 2.05/1.60  % (1533)Instructions burned: 8 (million)
% 2.05/1.60  % (1533)------------------------------
% 2.05/1.60  % (1533)------------------------------
% 2.05/1.60  % (1529)Instruction limit reached!
% 2.05/1.60  % (1529)------------------------------
% 2.05/1.60  % (1529)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.60  % (1529)Termination reason: Unknown
% 2.05/1.60  % (1529)Termination phase: Saturation
% 2.05/1.60  
% 2.05/1.60  % (1529)Memory used [KB]: 5756
% 2.05/1.60  % (1529)Time elapsed: 0.018 s
% 2.05/1.60  % (1529)Instructions burned: 37 (million)
% 2.05/1.60  % (1529)------------------------------
% 2.05/1.60  % (1529)------------------------------
% 2.05/1.60  % (1534)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/16Mi)
% 2.05/1.60  % (1535)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/3Mi)
% 2.05/1.61  % (1535)Instruction limit reached!
% 2.05/1.61  % (1535)------------------------------
% 2.05/1.61  % (1535)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.61  % (1535)Termination reason: Unknown
% 2.05/1.61  % (1535)Termination phase: shuffling
% 2.05/1.61  
% 2.05/1.61  % (1535)Memory used [KB]: 1023
% 2.05/1.61  % (1535)Time elapsed: 0.003 s
% 2.05/1.61  % (1535)Instructions burned: 3 (million)
% 2.05/1.61  % (1535)------------------------------
% 2.05/1.61  % (1535)------------------------------
% 2.05/1.61  % (1536)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/3Mi)
% 2.05/1.61  % (1534)Instruction limit reached!
% 2.05/1.61  % (1534)------------------------------
% 2.05/1.61  % (1534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.61  % (1534)Termination reason: Unknown
% 2.05/1.61  % (1534)Termination phase: Saturation
% 2.05/1.61  
% 2.05/1.61  % (1534)Memory used [KB]: 5884
% 2.05/1.61  % (1534)Time elapsed: 0.010 s
% 2.05/1.61  % (1534)Instructions burned: 17 (million)
% 2.05/1.61  % (1534)------------------------------
% 2.05/1.61  % (1534)------------------------------
% 2.05/1.61  % (1536)Instruction limit reached!
% 2.05/1.61  % (1536)------------------------------
% 2.05/1.61  % (1536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.61  % (1536)Termination reason: Unknown
% 2.05/1.61  % (1536)Termination phase: shuffling
% 2.05/1.61  
% 2.05/1.61  % (1536)Memory used [KB]: 1023
% 2.05/1.61  % (1536)Time elapsed: 0.003 s
% 2.05/1.61  % (1536)Instructions burned: 3 (million)
% 2.05/1.61  % (1536)------------------------------
% 2.05/1.61  % (1536)------------------------------
% 2.05/1.61  % (1538)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/3Mi)
% 2.05/1.61  % (1537)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/7Mi)
% 2.05/1.62  % (1538)Instruction limit reached!
% 2.05/1.62  % (1538)------------------------------
% 2.05/1.62  % (1538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.62  % (1538)Termination reason: Unknown
% 2.05/1.62  % (1538)Termination phase: shuffling
% 2.05/1.62  
% 2.05/1.62  % (1538)Memory used [KB]: 1023
% 2.05/1.62  % (1538)Time elapsed: 0.003 s
% 2.05/1.62  % (1538)Instructions burned: 3 (million)
% 2.05/1.62  % (1538)------------------------------
% 2.05/1.62  % (1538)------------------------------
% 2.05/1.62  % (1537)Instruction limit reached!
% 2.05/1.62  % (1537)------------------------------
% 2.05/1.62  % (1537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.62  % (1537)Termination reason: Unknown
% 2.05/1.62  % (1537)Termination phase: Property scanning
% 2.05/1.62  
% 2.05/1.62  % (1537)Memory used [KB]: 1023
% 2.05/1.62  % (1537)Time elapsed: 0.005 s
% 2.05/1.62  % (1537)Instructions burned: 8 (million)
% 2.05/1.62  % (1537)------------------------------
% 2.05/1.62  % (1537)------------------------------
% 2.05/1.62  % (1539)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/4Mi)
% 2.05/1.62  % (1540)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/18Mi)
% 2.05/1.62  % (1541)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/710Mi)
% 2.05/1.62  % (1539)Instruction limit reached!
% 2.05/1.62  % (1539)------------------------------
% 2.05/1.62  % (1539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.62  % (1539)Termination reason: Unknown
% 2.05/1.62  % (1539)Termination phase: Property scanning
% 2.05/1.62  
% 2.05/1.62  % (1539)Memory used [KB]: 1023
% 2.05/1.62  % (1539)Time elapsed: 0.004 s
% 2.05/1.62  % (1539)Instructions burned: 5 (million)
% 2.05/1.62  % (1539)------------------------------
% 2.05/1.62  % (1539)------------------------------
% 2.05/1.63  % (1542)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/6Mi)
% 2.05/1.63  % (1540)Instruction limit reached!
% 2.05/1.63  % (1540)------------------------------
% 2.05/1.63  % (1540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.63  % (1540)Termination reason: Unknown
% 2.05/1.63  % (1540)Termination phase: Saturation
% 2.05/1.63  
% 2.05/1.63  % (1540)Memory used [KB]: 5628
% 2.05/1.63  % (1540)Time elapsed: 0.011 s
% 2.05/1.63  % (1540)Instructions burned: 19 (million)
% 2.05/1.63  % (1540)------------------------------
% 2.05/1.63  % (1540)------------------------------
% 2.05/1.63  % (1543)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/902Mi)
% 2.05/1.63  % (1542)Instruction limit reached!
% 2.05/1.63  % (1542)------------------------------
% 2.05/1.63  % (1542)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.63  % (1542)Termination reason: Unknown
% 2.05/1.63  % (1542)Termination phase: Property scanning
% 2.05/1.63  
% 2.05/1.63  % (1542)Memory used [KB]: 1023
% 2.05/1.63  % (1542)Time elapsed: 0.005 s
% 2.05/1.63  % (1542)Instructions burned: 7 (million)
% 2.05/1.63  % (1542)------------------------------
% 2.05/1.63  % (1542)------------------------------
% 2.05/1.64  % (1543)Refutation not found, incomplete strategy
% 2.05/1.64  % (1543)------------------------------
% 2.05/1.64  % (1543)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.64  % (1543)Termination reason: Refutation not found, incomplete strategy
% 2.05/1.64  
% 2.05/1.64  
% 2.05/1.64  % (1543)Memory used [KB]: 5500
% 2.05/1.64  % (1543)Time elapsed: 0.006 s
% 2.05/1.64  % (1543)Instructions burned: 9 (million)
% 2.05/1.64  % (1543)------------------------------
% 2.05/1.64  % (1543)------------------------------
% 2.05/1.64  % (1544)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/21Mi)
% 2.05/1.65  % (1521)Instruction limit reached!
% 2.05/1.65  % (1521)------------------------------
% 2.05/1.65  % (1521)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.65  % (1521)Termination reason: Unknown
% 2.05/1.65  % (1521)Termination phase: Saturation
% 2.05/1.65  
% 2.05/1.65  % (1521)Memory used [KB]: 6268
% 2.05/1.65  % (1521)Time elapsed: 0.084 s
% 2.05/1.65  % (1521)Instructions burned: 183 (million)
% 2.05/1.65  % (1521)------------------------------
% 2.05/1.65  % (1521)------------------------------
% 2.05/1.65  % (1544)Instruction limit reached!
% 2.05/1.65  % (1544)------------------------------
% 2.05/1.65  % (1544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.65  % (1544)Termination reason: Unknown
% 2.05/1.65  % (1544)Termination phase: Saturation
% 2.05/1.65  
% 2.05/1.65  % (1544)Memory used [KB]: 5628
% 2.05/1.65  % (1544)Time elapsed: 0.011 s
% 2.05/1.65  % (1544)Instructions burned: 22 (million)
% 2.05/1.65  % (1544)------------------------------
% 2.05/1.65  % (1544)------------------------------
% 2.05/1.65  % (1546)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/6Mi)
% 2.05/1.65  % (1545)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/5Mi)
% 2.05/1.65  % (1545)Instruction limit reached!
% 2.05/1.65  % (1545)------------------------------
% 2.05/1.65  % (1545)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.65  % (1545)Termination reason: Unknown
% 2.05/1.65  % (1545)Termination phase: Property scanning
% 2.05/1.65  
% 2.05/1.65  % (1545)Memory used [KB]: 1023
% 2.05/1.65  % (1545)Time elapsed: 0.004 s
% 2.05/1.65  % (1545)Instructions burned: 6 (million)
% 2.05/1.65  % (1545)------------------------------
% 2.05/1.65  % (1545)------------------------------
% 2.05/1.65  % (1546)Instruction limit reached!
% 2.05/1.65  % (1546)------------------------------
% 2.05/1.65  % (1546)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.65  % (1546)Termination reason: Unknown
% 2.05/1.65  % (1546)Termination phase: SInE selection
% 2.05/1.65  
% 2.05/1.65  % (1546)Memory used [KB]: 1023
% 2.05/1.65  % (1546)Time elapsed: 0.004 s
% 2.05/1.65  % (1546)Instructions burned: 6 (million)
% 2.05/1.65  % (1546)------------------------------
% 2.05/1.65  % (1546)------------------------------
% 2.05/1.65  % (1547)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/377Mi)
% 2.05/1.66  % (1548)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/779Mi)
% 2.05/1.67  % (1549)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/19Mi)
% 2.05/1.67  % (1550)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/879Mi)
% 2.05/1.67  % (1551)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_1393 for (2999ds/17Mi)
% 2.05/1.67  % (1549)Instruction limit reached!
% 2.05/1.67  % (1549)------------------------------
% 2.05/1.67  % (1549)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.67  % (1549)Termination reason: Unknown
% 2.05/1.67  % (1549)Termination phase: Saturation
% 2.05/1.67  
% 2.05/1.67  % (1549)Memory used [KB]: 5628
% 2.05/1.67  % (1549)Time elapsed: 0.010 s
% 2.05/1.67  % (1549)Instructions burned: 20 (million)
% 2.05/1.67  % (1549)------------------------------
% 2.05/1.67  % (1549)------------------------------
% 2.05/1.68  % (1551)Instruction limit reached!
% 2.05/1.68  % (1551)------------------------------
% 2.05/1.68  % (1551)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.68  % (1551)Termination reason: Unknown
% 2.05/1.68  % (1551)Termination phase: Saturation
% 2.05/1.68  
% 2.05/1.68  % (1551)Memory used [KB]: 5628
% 2.05/1.68  % (1551)Time elapsed: 0.009 s
% 2.05/1.68  % (1551)Instructions burned: 18 (million)
% 2.05/1.68  % (1551)------------------------------
% 2.05/1.68  % (1551)------------------------------
% 2.05/1.69  % (1552)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_1393 for (2998ds/3Mi)
% 2.05/1.69  % (1553)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_1393 for (2998ds/30Mi)
% 2.05/1.69  % (1552)Instruction limit reached!
% 2.05/1.69  % (1552)------------------------------
% 2.05/1.69  % (1552)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.69  % (1552)Termination reason: Unknown
% 2.05/1.69  % (1552)Termination phase: Property scanning
% 2.05/1.69  
% 2.05/1.69  % (1552)Memory used [KB]: 1023
% 2.05/1.69  % (1552)Time elapsed: 0.004 s
% 2.05/1.69  % (1552)Instructions burned: 5 (million)
% 2.05/1.69  % (1552)------------------------------
% 2.05/1.69  % (1552)------------------------------
% 2.05/1.71  % (1553)Instruction limit reached!
% 2.05/1.71  % (1553)------------------------------
% 2.05/1.71  % (1553)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.71  % (1553)Termination reason: Unknown
% 2.05/1.71  % (1553)Termination phase: Saturation
% 2.05/1.71  
% 2.05/1.71  % (1553)Memory used [KB]: 5628
% 2.05/1.71  % (1553)Time elapsed: 0.014 s
% 2.05/1.71  % (1553)Instructions burned: 30 (million)
% 2.05/1.71  % (1553)------------------------------
% 2.05/1.71  % (1553)------------------------------
% 2.05/1.71  % (1554)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_1393 for (2998ds/127Mi)
% 2.05/1.72  % (1555)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_1393 for (2998ds/100Mi)
% 2.05/1.76  % (1554)Instruction limit reached!
% 2.05/1.76  % (1554)------------------------------
% 2.05/1.76  % (1554)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.76  % (1554)Termination reason: Unknown
% 2.05/1.76  % (1554)Termination phase: Saturation
% 2.05/1.76  
% 2.05/1.76  % (1554)Memory used [KB]: 6012
% 2.05/1.76  % (1554)Time elapsed: 0.056 s
% 2.05/1.76  % (1554)Instructions burned: 129 (million)
% 2.05/1.76  % (1554)------------------------------
% 2.05/1.76  % (1554)------------------------------
% 2.05/1.76  % (1555)Instruction limit reached!
% 2.05/1.76  % (1555)------------------------------
% 2.05/1.76  % (1555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.76  % (1555)Termination reason: Unknown
% 2.05/1.76  % (1555)Termination phase: Saturation
% 2.05/1.76  
% 2.05/1.76  % (1555)Memory used [KB]: 5884
% 2.05/1.76  % (1555)Time elapsed: 0.045 s
% 2.05/1.76  % (1555)Instructions burned: 101 (million)
% 2.05/1.76  % (1555)------------------------------
% 2.05/1.76  % (1555)------------------------------
% 2.05/1.78  % (1556)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_1393 for (2997ds/3Mi)
% 2.05/1.78  % (1557)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_1393 for (2997ds/20Mi)
% 2.05/1.78  % (1556)Instruction limit reached!
% 2.05/1.78  % (1556)------------------------------
% 2.05/1.78  % (1556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.78  % (1556)Termination reason: Unknown
% 2.05/1.78  % (1556)Termination phase: shuffling
% 2.05/1.78  
% 2.05/1.78  % (1556)Memory used [KB]: 1023
% 2.05/1.78  % (1556)Time elapsed: 0.003 s
% 2.05/1.78  % (1556)Instructions burned: 3 (million)
% 2.05/1.78  % (1556)------------------------------
% 2.05/1.78  % (1556)------------------------------
% 2.05/1.79  % (1557)Instruction limit reached!
% 2.05/1.79  % (1557)------------------------------
% 2.05/1.79  % (1557)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.79  % (1557)Termination reason: Unknown
% 2.05/1.79  % (1557)Termination phase: Saturation
% 2.05/1.79  
% 2.05/1.79  % (1557)Memory used [KB]: 5628
% 2.05/1.79  % (1557)Time elapsed: 0.011 s
% 2.05/1.79  % (1557)Instructions burned: 22 (million)
% 2.05/1.79  % (1557)------------------------------
% 2.05/1.79  % (1557)------------------------------
% 2.05/1.80  % (1558)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_1393 for (2997ds/86Mi)
% 2.05/1.81  % (1559)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_1393 for (2997ds/107Mi)
% 2.05/1.83  % (1547)Instruction limit reached!
% 2.05/1.83  % (1547)------------------------------
% 2.05/1.83  % (1547)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.83  % (1547)Termination reason: Unknown
% 2.05/1.83  % (1547)Termination phase: Saturation
% 2.05/1.83  
% 2.05/1.83  % (1547)Memory used [KB]: 7164
% 2.05/1.83  % (1547)Time elapsed: 0.178 s
% 2.05/1.83  % (1547)Instructions burned: 378 (million)
% 2.05/1.83  % (1547)------------------------------
% 2.05/1.83  % (1547)------------------------------
% 2.05/1.84  % (1558)Instruction limit reached!
% 2.05/1.84  % (1558)------------------------------
% 2.05/1.84  % (1558)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.84  % (1558)Termination reason: Unknown
% 2.05/1.84  % (1558)Termination phase: Saturation
% 2.05/1.84  
% 2.05/1.84  % (1558)Memory used [KB]: 6012
% 2.05/1.84  % (1558)Time elapsed: 0.039 s
% 2.05/1.84  % (1558)Instructions burned: 87 (million)
% 2.05/1.84  % (1558)------------------------------
% 2.05/1.84  % (1558)------------------------------
% 2.05/1.85  % (1560)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_1393 for (2997ds/39Mi)
% 2.05/1.85  % (1561)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_1393 for (2997ds/448Mi)
% 2.05/1.85  % (1559)Instruction limit reached!
% 2.05/1.85  % (1559)------------------------------
% 2.05/1.85  % (1559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.85  % (1559)Termination reason: Unknown
% 2.05/1.85  % (1559)Termination phase: Saturation
% 2.05/1.85  
% 2.05/1.85  % (1559)Memory used [KB]: 6140
% 2.05/1.85  % (1559)Time elapsed: 0.047 s
% 2.05/1.85  % (1559)Instructions burned: 108 (million)
% 2.05/1.85  % (1559)------------------------------
% 2.05/1.85  % (1559)------------------------------
% 2.05/1.87  % (1560)Instruction limit reached!
% 2.05/1.87  % (1560)------------------------------
% 2.05/1.87  % (1560)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.87  % (1560)Termination reason: Unknown
% 2.05/1.87  % (1560)Termination phase: Saturation
% 2.05/1.87  
% 2.05/1.87  % (1560)Memory used [KB]: 5756
% 2.05/1.87  % (1560)Time elapsed: 0.020 s
% 2.05/1.87  % (1560)Instructions burned: 39 (million)
% 2.05/1.87  % (1560)------------------------------
% 2.05/1.87  % (1560)------------------------------
% 2.05/1.87  % (1562)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_1393 for (2996ds/46Mi)
% 2.05/1.88  % (1563)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_1393 for (2996ds/98Mi)
% 2.05/1.89  % (1562)Instruction limit reached!
% 2.05/1.89  % (1562)------------------------------
% 2.05/1.89  % (1562)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.89  % (1562)Termination reason: Unknown
% 2.05/1.89  % (1562)Termination phase: Saturation
% 2.05/1.90  
% 2.05/1.90  % (1562)Memory used [KB]: 5756
% 2.05/1.90  % (1562)Time elapsed: 0.027 s
% 2.05/1.90  % (1562)Instructions burned: 47 (million)
% 2.05/1.90  % (1562)------------------------------
% 2.05/1.90  % (1562)------------------------------
% 2.05/1.90  % (1541)First to succeed.
% 2.05/1.91  % (1564)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_1393 for (2996ds/507Mi)
% 2.05/1.93  % (1563)Instruction limit reached!
% 2.05/1.93  % (1563)------------------------------
% 2.05/1.93  % (1563)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.93  % (1563)Termination reason: Unknown
% 2.05/1.93  % (1563)Termination phase: Saturation
% 2.05/1.93  
% 2.05/1.93  % (1563)Memory used [KB]: 1407
% 2.05/1.93  % (1563)Time elapsed: 0.047 s
% 2.05/1.93  % (1563)Instructions burned: 99 (million)
% 2.05/1.93  % (1563)------------------------------
% 2.05/1.93  % (1563)------------------------------
% 2.05/1.95  % (1565)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_1393 for (2996ds/149Mi)
% 2.05/1.97  % (1550)Also succeeded, but the first one will report.
% 2.05/1.97  % (1541)Refutation found. Thanks to Tanya!
% 2.05/1.97  % SZS status Theorem for DTF2THF_1393
% 2.05/1.97  % SZS output start Proof for DTF2THF_1393
% 2.05/1.97  thf(type_def_5, type, mworld: $tType).
% 2.05/1.97  thf(func_def_0, type, mworld: $tType).
% 2.05/1.97  thf(func_def_1, type, mrel: mworld > mworld > $o).
% 2.05/1.97  thf(func_def_2, type, mactual: mworld).
% 2.05/1.97  thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 2.05/1.97  thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 2.05/1.97  thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 2.05/1.97  thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 2.05/1.97  thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 2.05/1.97  thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 2.05/1.97  thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 2.05/1.97  thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 2.05/1.97  thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 2.05/1.97  thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 2.05/1.97  thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 2.05/1.97  thf(func_def_15, type, chevy: $i > mworld > $o).
% 2.05/1.97  thf(func_def_16, type, dirty: $i > mworld > $o).
% 2.05/1.97  thf(func_def_17, type, barrel: $i > $i > mworld > $o).
% 2.05/1.97  thf(func_def_18, type, hollywood: $i > mworld > $o).
% 2.05/1.97  thf(func_def_19, type, city: $i > mworld > $o).
% 2.05/1.97  thf(func_def_20, type, in: $i > $i > mworld > $o).
% 2.05/1.97  thf(func_def_21, type, old: $i > mworld > $o).
% 2.05/1.97  thf(func_def_22, type, down: $i > $i > mworld > $o).
% 2.05/1.97  thf(func_def_23, type, way: $i > mworld > $o).
% 2.05/1.97  thf(func_def_24, type, white: $i > mworld > $o).
% 2.05/1.97  thf(func_def_25, type, car: $i > mworld > $o).
% 2.05/1.97  thf(func_def_26, type, street: $i > mworld > $o).
% 2.05/1.97  thf(func_def_27, type, event: $i > mworld > $o).
% 2.05/1.97  thf(func_def_28, type, lonely: $i > mworld > $o).
% 2.05/1.97  thf(func_def_43, type, sK0: mworld > $i).
% 2.05/1.97  thf(f3127,plain,(
% 2.05/1.97    $false),
% 2.05/1.97    inference(avatar_sat_refutation,[status(thm)],[f1276,f1465,f1470,f1475,f1480,f1485,f1490,f1495,f1500,f1505,f1510,f1515,f1520,f1525,f1530,f1535,f1540,f1545,f1550,f1559,f1564,f1569,f1574,f1579,f1584,f1589,f1594,f1599,f1604,f1609,f1614,f1619,f1624,f1629,f1634,f1639,f1644,f1653,f1658,f1663,f1668,f1673,f1678,f1683,f1688,f1693,f1698,f1703,f1708,f1713,f1718,f1723,f1728,f1733,f1738,f1743,f1748,f1753,f1758,f1763,f1768,f1773,f1778,f1783,f1788,f1793,f1798,f1803,f1808,f1813,f1822,f1823,f1824,f1829,f1834,f1839,f1844,f1849,f1854,f1855,f1856,f1857,f1858,f1859,f1860,f1865,f1866,f1867,f1868,f1869,f1870,f1871,f1872,f1873,f1874,f1875,f1876,f1877,f1878,f1879,f1884,f1889,f1894,f1899,f1904,f1909,f1914,f1919,f1924,f1929,f1934,f1939,f1944,f1945,f1946,f1951,f1952,f1953,f1954,f1955,f1956,f1957,f1958,f1959,f1960,f1961,f1962,f1963,f1964,f1965,f1970,f1971,f1976,f1981,f1986,f1987,f1988,f1989,f1990,f1991,f1992,f1993,f1994,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f2034,f2035,f2036,f2037,f2038,f2039,f2040,f2041,f2042,f2043,f2044,f2045,f2046,f2047,f2048,f2049,f2050,f2051,f2052,f2053,f2054,f2055,f2056,f2057,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2080,f2081,f2082,f2083,f2084,f2085,f2086,f2087,f2088,f2089,f2090,f2091,f2092,f2093,f2094,f2095,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2104,f2105,f2106,f2107,f2108,f2109,f2110,f2111,f2112,f2113,f2114,f2115,f2116,f2117,f2118,f2119,f2120,f2121,f2122,f2123,f2124,f2125,f2126,f2127,f2128,f2129,f2130,f2131,f2132,f2133,f2134,f2135,f2136,f2137,f2138,f2139,f2140,f2141,f2142,f2143,f2144,f2145,f2146,f2147,f2148,f2149,f2150,f2151,f2152,f2153,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2161,f2162,f2163,f2164,f2165,f2166,f2167,f2168,f2169,f2170,f2171,f2172,f2173,f2174,f2175,f2176,f2210,f2222,f2334,f2462,f2510,f2534,f2568,f2611,f2655,f2694,f2737,f2746,f2754,f2772,f2775,f2809,f2825,f2839,f2855,f2858,f2903,f2921,f2966,f2979,f3015,f3018,f3071,f3126])).
% 2.05/1.97  thf(f3126,plain,(
% 2.05/1.97    ~spl1_78 | ~spl1_81 | ~spl1_82 | ~spl1_83 | ~spl1_84 | ~spl1_85 | ~spl1_86 | ~spl1_138),
% 2.05/1.97    inference(avatar_contradiction_clause,[status(thm)],[f3125])).
% 2.05/1.97  thf(f3125,plain,(
% 2.05/1.97    $false | (~spl1_78 | ~spl1_81 | ~spl1_82 | ~spl1_83 | ~spl1_84 | ~spl1_85 | ~spl1_86 | ~spl1_138)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f3124])).
% 2.05/1.97  thf(f3124,plain,(
% 2.05/1.97    ($false = $true) | (~spl1_78 | ~spl1_81 | ~spl1_82 | ~spl1_83 | ~spl1_84 | ~spl1_85 | ~spl1_86 | ~spl1_138)),
% 2.05/1.97    inference(backward_demodulation,[status(thm)],[f1692,f3123])).
% 2.05/1.97  thf(f3123,plain,(
% 2.05/1.97    ($false = (car @ sK14 @ mactual)) | (~spl1_78 | ~spl1_81 | ~spl1_82 | ~spl1_83 | ~spl1_84 | ~spl1_86 | ~spl1_138)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f3122])).
% 2.05/1.97  thf(f3122,plain,(
% 2.05/1.97    ($false = (car @ sK14 @ mactual)) | ($false = $true) | (~spl1_78 | ~spl1_81 | ~spl1_82 | ~spl1_83 | ~spl1_84 | ~spl1_86 | ~spl1_138)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f3121,f1657])).
% 2.05/1.97  thf(f1657,plain,(
% 2.05/1.97    ((eiw_di @ sK14 @ mactual) = $true) | ~spl1_78),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1655])).
% 2.05/1.97  thf(f1655,definition,(
% 2.05/1.97    spl1_78 <=> ((eiw_di @ sK14 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_78])],[avatar_definition])).
% 2.05/1.97  thf(f3121,plain,(
% 2.05/1.97    ($false = (car @ sK14 @ mactual)) | ($false = (eiw_di @ sK14 @ mactual)) | (~spl1_81 | ~spl1_82 | ~spl1_83 | ~spl1_84 | ~spl1_86 | ~spl1_138)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f3120])).
% 2.05/1.97  thf(f3120,plain,(
% 2.05/1.97    ($false = (eiw_di @ sK14 @ mactual)) | ($false = (car @ sK14 @ mactual)) | ($false = $true) | (~spl1_81 | ~spl1_82 | ~spl1_83 | ~spl1_84 | ~spl1_86 | ~spl1_138)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f3119,f1697])).
% 2.05/1.97  thf(f1697,plain,(
% 2.05/1.97    ($true = (chevy @ sK14 @ mactual)) | ~spl1_86),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1695])).
% 2.05/1.97  thf(f1695,definition,(
% 2.05/1.97    spl1_86 <=> ($true = (chevy @ sK14 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_86])],[avatar_definition])).
% 2.05/1.97  thf(f3119,plain,(
% 2.05/1.97    ($false = (car @ sK14 @ mactual)) | ($false = (chevy @ sK14 @ mactual)) | ($false = (eiw_di @ sK14 @ mactual)) | (~spl1_81 | ~spl1_82 | ~spl1_83 | ~spl1_84 | ~spl1_138)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f3118])).
% 2.05/1.97  thf(f3118,plain,(
% 2.05/1.97    ($false = $true) | ($false = (eiw_di @ sK14 @ mactual)) | ($false = (chevy @ sK14 @ mactual)) | ($false = (car @ sK14 @ mactual)) | (~spl1_81 | ~spl1_82 | ~spl1_83 | ~spl1_84 | ~spl1_138)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f3117,f1682])).
% 2.05/1.97  thf(f1682,plain,(
% 2.05/1.97    ((dirty @ sK14 @ mactual) = $true) | ~spl1_83),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1680])).
% 2.05/1.97  thf(f1680,definition,(
% 2.05/1.97    spl1_83 <=> ((dirty @ sK14 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_83])],[avatar_definition])).
% 2.05/1.97  thf(f3117,plain,(
% 2.05/1.97    ($false = (dirty @ sK14 @ mactual)) | ($false = (eiw_di @ sK14 @ mactual)) | ($false = (chevy @ sK14 @ mactual)) | ($false = (car @ sK14 @ mactual)) | (~spl1_81 | ~spl1_82 | ~spl1_84 | ~spl1_138)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f3116])).
% 2.05/1.97  thf(f3116,plain,(
% 2.05/1.97    ($false = $true) | ($false = (chevy @ sK14 @ mactual)) | ($false = (car @ sK14 @ mactual)) | ($false = (eiw_di @ sK14 @ mactual)) | ($false = (dirty @ sK14 @ mactual)) | (~spl1_81 | ~spl1_82 | ~spl1_84 | ~spl1_138)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f3115,f1687])).
% 2.05/1.97  thf(f1687,plain,(
% 2.05/1.97    ((white @ sK14 @ mactual) = $true) | ~spl1_84),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1685])).
% 2.05/1.97  thf(f1685,definition,(
% 2.05/1.97    spl1_84 <=> ((white @ sK14 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_84])],[avatar_definition])).
% 2.05/1.97  thf(f3115,plain,(
% 2.05/1.97    ($false = (white @ sK14 @ mactual)) | ($false = (dirty @ sK14 @ mactual)) | ($false = (eiw_di @ sK14 @ mactual)) | ($false = (chevy @ sK14 @ mactual)) | ($false = (car @ sK14 @ mactual)) | (~spl1_81 | ~spl1_82 | ~spl1_138)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f3114])).
% 2.05/1.97  thf(f3114,plain,(
% 2.05/1.97    ($false = (car @ sK14 @ mactual)) | ($false = (chevy @ sK14 @ mactual)) | ($false = (white @ sK14 @ mactual)) | ($false = $true) | ($false = (eiw_di @ sK14 @ mactual)) | ($false = (dirty @ sK14 @ mactual)) | (~spl1_81 | ~spl1_82 | ~spl1_138)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f3077,f1677])).
% 2.05/1.97  thf(f1677,plain,(
% 2.05/1.97    ((old @ sK14 @ mactual) = $true) | ~spl1_82),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1675])).
% 2.05/1.97  thf(f1675,definition,(
% 2.05/1.97    spl1_82 <=> ((old @ sK14 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_82])],[avatar_definition])).
% 2.05/1.97  thf(f3077,plain,(
% 2.05/1.97    ($false = (old @ sK14 @ mactual)) | ($false = (chevy @ sK14 @ mactual)) | ($false = (car @ sK14 @ mactual)) | ($false = (white @ sK14 @ mactual)) | ($false = (dirty @ sK14 @ mactual)) | ($false = (eiw_di @ sK14 @ mactual)) | (~spl1_81 | ~spl1_138)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f3072])).
% 2.05/1.97  thf(f3072,plain,(
% 2.05/1.97    ($false = (car @ sK14 @ mactual)) | ($false = (old @ sK14 @ mactual)) | ($false = (eiw_di @ sK14 @ mactual)) | ($false = $true) | ($false = (chevy @ sK14 @ mactual)) | ($false = (white @ sK14 @ mactual)) | ($false = (dirty @ sK14 @ mactual)) | (~spl1_81 | ~spl1_138)),
% 2.05/1.97    inference(superposition,[status(thm)],[f1672,f2198])).
% 2.05/1.97  thf(f2198,plain,(
% 2.05/1.97    ( ! [X1 : $i] : (($false = (barrel @ sK3 @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (car @ X1 @ mactual))) ) | ~spl1_138),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f2197])).
% 2.05/1.97  thf(f2197,definition,(
% 2.05/1.97    spl1_138 <=> ! [X1 : $i] : (($false = (dirty @ X1 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (barrel @ sK3 @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_138])],[avatar_definition])).
% 2.05/1.97  thf(f1672,plain,(
% 2.05/1.97    ($true = (barrel @ sK3 @ sK14 @ mactual)) | ~spl1_81),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1670])).
% 2.05/1.97  thf(f1670,definition,(
% 2.05/1.97    spl1_81 <=> ($true = (barrel @ sK3 @ sK14 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_81])],[avatar_definition])).
% 2.05/1.97  thf(f1692,plain,(
% 2.05/1.97    ((car @ sK14 @ mactual) = $true) | ~spl1_85),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1690])).
% 2.05/1.97  thf(f1690,definition,(
% 2.05/1.97    spl1_85 <=> ((car @ sK14 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_85])],[avatar_definition])).
% 2.05/1.97  thf(f3071,plain,(
% 2.05/1.97    ~spl1_119 | ~spl1_121 | ~spl1_123 | ~spl1_124 | ~spl1_125 | ~spl1_150),
% 2.05/1.97    inference(avatar_contradiction_clause,[status(thm)],[f3070])).
% 2.05/1.97  thf(f3070,plain,(
% 2.05/1.97    $false | (~spl1_119 | ~spl1_121 | ~spl1_123 | ~spl1_124 | ~spl1_125 | ~spl1_150)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f3069])).
% 2.05/1.97  thf(f3069,plain,(
% 2.05/1.97    ($false = $true) | (~spl1_119 | ~spl1_121 | ~spl1_123 | ~spl1_124 | ~spl1_125 | ~spl1_150)),
% 2.05/1.97    inference(backward_demodulation,[status(thm)],[f1903,f3068])).
% 2.05/1.97  thf(f3068,plain,(
% 2.05/1.97    ($false = (lonely @ sK10 @ mactual)) | (~spl1_119 | ~spl1_121 | ~spl1_124 | ~spl1_125 | ~spl1_150)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f3067])).
% 2.05/1.97  thf(f3067,plain,(
% 2.05/1.97    ($false = (lonely @ sK10 @ mactual)) | ($false = $true) | (~spl1_119 | ~spl1_121 | ~spl1_124 | ~spl1_125 | ~spl1_150)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f3066,f1913])).
% 2.05/1.97  thf(f1913,plain,(
% 2.05/1.97    ((street @ sK10 @ mactual) = $true) | ~spl1_125),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1911])).
% 2.05/1.97  thf(f1911,definition,(
% 2.05/1.97    spl1_125 <=> ((street @ sK10 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_125])],[avatar_definition])).
% 2.05/1.97  thf(f3066,plain,(
% 2.05/1.97    ($false = (street @ sK10 @ mactual)) | ($false = (lonely @ sK10 @ mactual)) | (~spl1_119 | ~spl1_121 | ~spl1_124 | ~spl1_150)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f3065])).
% 2.05/1.97  thf(f3065,plain,(
% 2.05/1.97    ($false = (street @ sK10 @ mactual)) | ($false = (lonely @ sK10 @ mactual)) | ($false = $true) | (~spl1_119 | ~spl1_121 | ~spl1_124 | ~spl1_150)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f3064,f1883])).
% 2.05/1.97  thf(f1883,plain,(
% 2.05/1.97    ((eiw_di @ sK10 @ mactual) = $true) | ~spl1_119),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1881])).
% 2.05/1.97  thf(f1881,definition,(
% 2.05/1.97    spl1_119 <=> ((eiw_di @ sK10 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_119])],[avatar_definition])).
% 2.05/1.97  thf(f3064,plain,(
% 2.05/1.97    ($false = (eiw_di @ sK10 @ mactual)) | ($false = (street @ sK10 @ mactual)) | ($false = (lonely @ sK10 @ mactual)) | (~spl1_121 | ~spl1_124 | ~spl1_150)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f3063])).
% 2.05/1.97  thf(f3063,plain,(
% 2.05/1.97    ($false = (eiw_di @ sK10 @ mactual)) | ($false = $true) | ($false = (lonely @ sK10 @ mactual)) | ($false = (street @ sK10 @ mactual)) | (~spl1_121 | ~spl1_124 | ~spl1_150)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f3053,f1908])).
% 2.05/1.97  thf(f1908,plain,(
% 2.05/1.97    ((way @ sK10 @ mactual) = $true) | ~spl1_124),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1906])).
% 2.05/1.97  thf(f1906,definition,(
% 2.05/1.97    spl1_124 <=> ((way @ sK10 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_124])],[avatar_definition])).
% 2.05/1.97  thf(f3053,plain,(
% 2.05/1.97    ($false = (lonely @ sK10 @ mactual)) | ($false = (way @ sK10 @ mactual)) | ($false = (street @ sK10 @ mactual)) | ($false = (eiw_di @ sK10 @ mactual)) | (~spl1_121 | ~spl1_150)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f3049])).
% 2.05/1.97  thf(f3049,plain,(
% 2.05/1.97    ($false = $true) | ($false = (lonely @ sK10 @ mactual)) | ($false = (way @ sK10 @ mactual)) | ($false = (street @ sK10 @ mactual)) | ($false = (eiw_di @ sK10 @ mactual)) | (~spl1_121 | ~spl1_150)),
% 2.05/1.97    inference(superposition,[status(thm)],[f2492,f1893])).
% 2.05/1.97  thf(f1893,plain,(
% 2.05/1.97    ((down @ sK7 @ sK10 @ mactual) = $true) | ~spl1_121),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1891])).
% 2.05/1.97  thf(f1891,definition,(
% 2.05/1.97    spl1_121 <=> ((down @ sK7 @ sK10 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_121])],[avatar_definition])).
% 2.05/1.97  thf(f2492,plain,(
% 2.05/1.97    ( ! [X0 : $i] : (($false = (down @ sK7 @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (street @ X0 @ mactual))) ) | ~spl1_150),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f2491])).
% 2.05/1.97  thf(f2491,definition,(
% 2.05/1.97    spl1_150 <=> ! [X0 : $i] : (($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_150])],[avatar_definition])).
% 2.05/1.97  thf(f1903,plain,(
% 2.05/1.97    ((lonely @ sK10 @ mactual) = $true) | ~spl1_123),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1901])).
% 2.05/1.97  thf(f1901,definition,(
% 2.05/1.97    spl1_123 <=> ((lonely @ sK10 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_123])],[avatar_definition])).
% 2.05/1.97  thf(f3018,plain,(
% 2.05/1.97    ~spl1_129 | ~spl1_155),
% 2.05/1.97    inference(avatar_contradiction_clause,[status(thm)],[f3017])).
% 2.05/1.97  thf(f3017,plain,(
% 2.05/1.97    $false | (~spl1_129 | ~spl1_155)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f3016])).
% 2.05/1.97  thf(f3016,plain,(
% 2.05/1.97    ($false = $true) | (~spl1_129 | ~spl1_155)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f1933,f2711])).
% 2.05/1.97  thf(f2711,plain,(
% 2.05/1.97    ($false = (car @ sK8 @ mactual)) | ~spl1_155),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f2709])).
% 2.05/1.97  thf(f2709,definition,(
% 2.05/1.97    spl1_155 <=> ($false = (car @ sK8 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_155])],[avatar_definition])).
% 2.05/1.97  thf(f1933,plain,(
% 2.05/1.97    ((car @ sK8 @ mactual) = $true) | ~spl1_129),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1931])).
% 2.05/1.97  thf(f1931,definition,(
% 2.05/1.97    spl1_129 <=> ((car @ sK8 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_129])],[avatar_definition])).
% 2.05/1.97  thf(f3015,plain,(
% 2.05/1.97    ~spl1_77 | ~spl1_158),
% 2.05/1.97    inference(avatar_contradiction_clause,[status(thm)],[f3014])).
% 2.05/1.97  thf(f3014,plain,(
% 2.05/1.97    $false | (~spl1_77 | ~spl1_158)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f3013])).
% 2.05/1.97  thf(f3013,plain,(
% 2.05/1.97    ($false = $true) | (~spl1_77 | ~spl1_158)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f1652,f2847])).
% 2.05/1.97  thf(f2847,plain,(
% 2.05/1.97    ($false = (eiw_di @ sK4 @ mactual)) | ~spl1_158),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f2845])).
% 2.05/1.97  thf(f2845,definition,(
% 2.05/1.97    spl1_158 <=> ($false = (eiw_di @ sK4 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_158])],[avatar_definition])).
% 2.05/1.97  thf(f1652,plain,(
% 2.05/1.97    ((eiw_di @ sK4 @ mactual) = $true) | ~spl1_77),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1650])).
% 2.05/1.97  thf(f1650,definition,(
% 2.05/1.97    spl1_77 <=> ((eiw_di @ sK4 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_77])],[avatar_definition])).
% 2.05/1.97  thf(f2979,plain,(
% 2.05/1.97    ~spl1_95 | ~spl1_97 | ~spl1_99 | ~spl1_100 | ~spl1_101 | ~spl1_160),
% 2.05/1.97    inference(avatar_contradiction_clause,[status(thm)],[f2978])).
% 2.05/1.97  thf(f2978,plain,(
% 2.05/1.97    $false | (~spl1_95 | ~spl1_97 | ~spl1_99 | ~spl1_100 | ~spl1_101 | ~spl1_160)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2977])).
% 2.05/1.97  thf(f2977,plain,(
% 2.05/1.97    ($false = $true) | (~spl1_95 | ~spl1_97 | ~spl1_99 | ~spl1_100 | ~spl1_101 | ~spl1_160)),
% 2.05/1.97    inference(backward_demodulation,[status(thm)],[f1762,f2976])).
% 2.05/1.97  thf(f2976,plain,(
% 2.05/1.97    ($false = (lonely @ sK13 @ mactual)) | (~spl1_95 | ~spl1_97 | ~spl1_100 | ~spl1_101 | ~spl1_160)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2975])).
% 2.05/1.97  thf(f2975,plain,(
% 2.05/1.97    ($false = $true) | ($false = (lonely @ sK13 @ mactual)) | (~spl1_95 | ~spl1_97 | ~spl1_100 | ~spl1_101 | ~spl1_160)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2974,f1742])).
% 2.05/1.97  thf(f1742,plain,(
% 2.05/1.97    ($true = (eiw_di @ sK13 @ mactual)) | ~spl1_95),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1740])).
% 2.05/1.97  thf(f1740,definition,(
% 2.05/1.97    spl1_95 <=> ($true = (eiw_di @ sK13 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_95])],[avatar_definition])).
% 2.05/1.97  thf(f2974,plain,(
% 2.05/1.97    ($false = (eiw_di @ sK13 @ mactual)) | ($false = (lonely @ sK13 @ mactual)) | (~spl1_97 | ~spl1_100 | ~spl1_101 | ~spl1_160)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2973])).
% 2.05/1.97  thf(f2973,plain,(
% 2.05/1.97    ($false = (lonely @ sK13 @ mactual)) | ($false = (eiw_di @ sK13 @ mactual)) | ($false = $true) | (~spl1_97 | ~spl1_100 | ~spl1_101 | ~spl1_160)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2972,f1772])).
% 2.05/1.97  thf(f1772,plain,(
% 2.05/1.97    ((street @ sK13 @ mactual) = $true) | ~spl1_101),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1770])).
% 2.05/1.97  thf(f1770,definition,(
% 2.05/1.97    spl1_101 <=> ((street @ sK13 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_101])],[avatar_definition])).
% 2.05/1.97  thf(f2972,plain,(
% 2.05/1.97    ($false = (street @ sK13 @ mactual)) | ($false = (eiw_di @ sK13 @ mactual)) | ($false = (lonely @ sK13 @ mactual)) | (~spl1_97 | ~spl1_100 | ~spl1_160)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2971])).
% 2.05/1.97  thf(f2971,plain,(
% 2.05/1.97    ($false = $true) | ($false = (street @ sK13 @ mactual)) | ($false = (eiw_di @ sK13 @ mactual)) | ($false = (lonely @ sK13 @ mactual)) | (~spl1_97 | ~spl1_100 | ~spl1_160)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2970,f1767])).
% 2.05/1.97  thf(f1767,plain,(
% 2.05/1.97    ((way @ sK13 @ mactual) = $true) | ~spl1_100),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1765])).
% 2.05/1.97  thf(f1765,definition,(
% 2.05/1.97    spl1_100 <=> ((way @ sK13 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_100])],[avatar_definition])).
% 2.05/1.97  thf(f2970,plain,(
% 2.05/1.97    ($false = (lonely @ sK13 @ mactual)) | ($false = (way @ sK13 @ mactual)) | ($false = (eiw_di @ sK13 @ mactual)) | ($false = (street @ sK13 @ mactual)) | (~spl1_97 | ~spl1_160)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2968])).
% 2.05/1.97  thf(f2968,plain,(
% 2.05/1.97    ($false = (eiw_di @ sK13 @ mactual)) | ($false = (way @ sK13 @ mactual)) | ($false = (street @ sK13 @ mactual)) | ($false = (lonely @ sK13 @ mactual)) | ($false = $true) | (~spl1_97 | ~spl1_160)),
% 2.05/1.97    inference(superposition,[status(thm)],[f1752,f2882])).
% 2.05/1.97  thf(f2882,plain,(
% 2.05/1.97    ( ! [X0 : $i] : (($false = (down @ sK11 @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (way @ X0 @ mactual))) ) | ~spl1_160),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f2881])).
% 2.05/1.97  thf(f2881,definition,(
% 2.05/1.97    spl1_160 <=> ! [X0 : $i] : (($false = (street @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (down @ sK11 @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_160])],[avatar_definition])).
% 2.05/1.97  thf(f1752,plain,(
% 2.05/1.97    ((down @ sK11 @ sK13 @ mactual) = $true) | ~spl1_97),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1750])).
% 2.05/1.97  thf(f1750,definition,(
% 2.05/1.97    spl1_97 <=> ((down @ sK11 @ sK13 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_97])],[avatar_definition])).
% 2.05/1.97  thf(f1762,plain,(
% 2.05/1.97    ((lonely @ sK13 @ mactual) = $true) | ~spl1_99),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1760])).
% 2.05/1.97  thf(f1760,definition,(
% 2.05/1.97    spl1_99 <=> ((lonely @ sK13 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_99])],[avatar_definition])).
% 2.05/1.97  thf(f2966,plain,(
% 2.05/1.97    ~spl1_76 | ~spl1_96 | ~spl1_108 | ~spl1_109 | ~spl1_161),
% 2.05/1.97    inference(avatar_contradiction_clause,[status(thm)],[f2965])).
% 2.05/1.97  thf(f2965,plain,(
% 2.05/1.97    $false | (~spl1_76 | ~spl1_96 | ~spl1_108 | ~spl1_109 | ~spl1_161)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2964])).
% 2.05/1.97  thf(f2964,plain,(
% 2.05/1.97    ($false = $true) | (~spl1_76 | ~spl1_96 | ~spl1_108 | ~spl1_109 | ~spl1_161)),
% 2.05/1.97    inference(backward_demodulation,[status(thm)],[f1807,f2963])).
% 2.05/1.97  thf(f2963,plain,(
% 2.05/1.97    ($false = (city @ sK5 @ mactual)) | (~spl1_76 | ~spl1_96 | ~spl1_109 | ~spl1_161)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2962])).
% 2.05/1.97  thf(f2962,plain,(
% 2.05/1.97    ($false = $true) | ($false = (city @ sK5 @ mactual)) | (~spl1_76 | ~spl1_96 | ~spl1_109 | ~spl1_161)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2961,f1648])).
% 2.05/1.97  thf(f1648,plain,(
% 2.05/1.97    ((eiw_di @ sK5 @ mactual) = $true) | ~spl1_76),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1646])).
% 2.05/1.97  thf(f1646,definition,(
% 2.05/1.97    spl1_76 <=> ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_76])],[avatar_definition])).
% 2.05/1.97  thf(f2961,plain,(
% 2.05/1.97    ($false = (eiw_di @ sK5 @ mactual)) | ($false = (city @ sK5 @ mactual)) | (~spl1_96 | ~spl1_109 | ~spl1_161)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2960])).
% 2.05/1.97  thf(f2960,plain,(
% 2.05/1.97    ($false = (city @ sK5 @ mactual)) | ($false = (eiw_di @ sK5 @ mactual)) | ($false = $true) | (~spl1_96 | ~spl1_109 | ~spl1_161)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2959,f1812])).
% 2.05/1.97  thf(f1812,plain,(
% 2.05/1.97    ($true = (hollywood @ sK5 @ mactual)) | ~spl1_109),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1810])).
% 2.05/1.97  thf(f1810,definition,(
% 2.05/1.97    spl1_109 <=> ($true = (hollywood @ sK5 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_109])],[avatar_definition])).
% 2.05/1.97  thf(f2959,plain,(
% 2.05/1.97    ($false = (hollywood @ sK5 @ mactual)) | ($false = (city @ sK5 @ mactual)) | ($false = (eiw_di @ sK5 @ mactual)) | (~spl1_96 | ~spl1_161)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2957])).
% 2.05/1.97  thf(f2957,plain,(
% 2.05/1.97    ($false = (eiw_di @ sK5 @ mactual)) | ($false = (city @ sK5 @ mactual)) | ($false = $true) | ($false = (hollywood @ sK5 @ mactual)) | (~spl1_96 | ~spl1_161)),
% 2.05/1.97    inference(superposition,[status(thm)],[f1747,f2885])).
% 2.05/1.97  thf(f2885,plain,(
% 2.05/1.97    ( ! [X1 : $i] : (($false = (in @ sK11 @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (city @ X1 @ mactual))) ) | ~spl1_161),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f2884])).
% 2.05/1.97  thf(f2884,definition,(
% 2.05/1.97    spl1_161 <=> ! [X1 : $i] : (($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (in @ sK11 @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_161])],[avatar_definition])).
% 2.05/1.97  thf(f1747,plain,(
% 2.05/1.97    ((in @ sK11 @ sK5 @ mactual) = $true) | ~spl1_96),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1745])).
% 2.05/1.97  thf(f1745,definition,(
% 2.05/1.97    spl1_96 <=> ((in @ sK11 @ sK5 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_96])],[avatar_definition])).
% 2.05/1.97  thf(f1807,plain,(
% 2.05/1.97    ((city @ sK5 @ mactual) = $true) | ~spl1_108),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1805])).
% 2.05/1.97  thf(f1805,definition,(
% 2.05/1.97    spl1_108 <=> ((city @ sK5 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_108])],[avatar_definition])).
% 2.05/1.97  thf(f2921,plain,(
% 2.05/1.97    ~spl1_111 | ~spl1_112 | ~spl1_113 | ~spl1_114 | ~spl1_115 | ~spl1_116 | ~spl1_117 | ~spl1_138),
% 2.05/1.97    inference(avatar_contradiction_clause,[status(thm)],[f2920])).
% 2.05/1.97  thf(f2920,plain,(
% 2.05/1.97    $false | (~spl1_111 | ~spl1_112 | ~spl1_113 | ~spl1_114 | ~spl1_115 | ~spl1_116 | ~spl1_117 | ~spl1_138)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2919])).
% 2.05/1.97  thf(f2919,plain,(
% 2.05/1.97    ($false = $true) | (~spl1_111 | ~spl1_112 | ~spl1_113 | ~spl1_114 | ~spl1_115 | ~spl1_116 | ~spl1_117 | ~spl1_138)),
% 2.05/1.97    inference(backward_demodulation,[status(thm)],[f1848,f2918])).
% 2.05/1.97  thf(f2918,plain,(
% 2.05/1.97    ($false = (car @ sK6 @ mactual)) | (~spl1_111 | ~spl1_112 | ~spl1_113 | ~spl1_114 | ~spl1_115 | ~spl1_117 | ~spl1_138)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2917])).
% 2.05/1.97  thf(f2917,plain,(
% 2.05/1.97    ($false = $true) | ($false = (car @ sK6 @ mactual)) | (~spl1_111 | ~spl1_112 | ~spl1_113 | ~spl1_114 | ~spl1_115 | ~spl1_117 | ~spl1_138)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2916,f1843])).
% 2.05/1.97  thf(f1843,plain,(
% 2.05/1.97    ($true = (white @ sK6 @ mactual)) | ~spl1_115),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1841])).
% 2.05/1.97  thf(f1841,definition,(
% 2.05/1.97    spl1_115 <=> ($true = (white @ sK6 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_115])],[avatar_definition])).
% 2.05/1.97  thf(f2916,plain,(
% 2.05/1.97    ($false = (white @ sK6 @ mactual)) | ($false = (car @ sK6 @ mactual)) | (~spl1_111 | ~spl1_112 | ~spl1_113 | ~spl1_114 | ~spl1_117 | ~spl1_138)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2915])).
% 2.05/1.97  thf(f2915,plain,(
% 2.05/1.97    ($false = $true) | ($false = (car @ sK6 @ mactual)) | ($false = (white @ sK6 @ mactual)) | (~spl1_111 | ~spl1_112 | ~spl1_113 | ~spl1_114 | ~spl1_117 | ~spl1_138)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2914,f1821])).
% 2.05/1.97  thf(f1821,plain,(
% 2.05/1.97    ((eiw_di @ sK6 @ mactual) = $true) | ~spl1_111),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1819])).
% 2.05/1.97  thf(f1819,definition,(
% 2.05/1.97    spl1_111 <=> ((eiw_di @ sK6 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_111])],[avatar_definition])).
% 2.05/1.97  thf(f2914,plain,(
% 2.05/1.97    ($false = (eiw_di @ sK6 @ mactual)) | ($false = (car @ sK6 @ mactual)) | ($false = (white @ sK6 @ mactual)) | (~spl1_112 | ~spl1_113 | ~spl1_114 | ~spl1_117 | ~spl1_138)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2913])).
% 2.05/1.97  thf(f2913,plain,(
% 2.05/1.97    ($false = (white @ sK6 @ mactual)) | ($false = (eiw_di @ sK6 @ mactual)) | ($false = $true) | ($false = (car @ sK6 @ mactual)) | (~spl1_112 | ~spl1_113 | ~spl1_114 | ~spl1_117 | ~spl1_138)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2912,f1853])).
% 2.05/1.97  thf(f1853,plain,(
% 2.05/1.97    ((chevy @ sK6 @ mactual) = $true) | ~spl1_117),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1851])).
% 2.05/1.97  thf(f1851,definition,(
% 2.05/1.97    spl1_117 <=> ((chevy @ sK6 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_117])],[avatar_definition])).
% 2.05/1.97  thf(f2912,plain,(
% 2.05/1.97    ($false = (car @ sK6 @ mactual)) | ($false = (chevy @ sK6 @ mactual)) | ($false = (eiw_di @ sK6 @ mactual)) | ($false = (white @ sK6 @ mactual)) | (~spl1_112 | ~spl1_113 | ~spl1_114 | ~spl1_138)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2911])).
% 2.05/1.97  thf(f2911,plain,(
% 2.05/1.97    ($false = (chevy @ sK6 @ mactual)) | ($false = (white @ sK6 @ mactual)) | ($false = $true) | ($false = (car @ sK6 @ mactual)) | ($false = (eiw_di @ sK6 @ mactual)) | (~spl1_112 | ~spl1_113 | ~spl1_114 | ~spl1_138)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2910,f1838])).
% 2.05/1.97  thf(f1838,plain,(
% 2.05/1.97    ($true = (dirty @ sK6 @ mactual)) | ~spl1_114),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1836])).
% 2.05/1.97  thf(f1836,definition,(
% 2.05/1.97    spl1_114 <=> ($true = (dirty @ sK6 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_114])],[avatar_definition])).
% 2.05/1.97  thf(f2910,plain,(
% 2.05/1.97    ($false = (dirty @ sK6 @ mactual)) | ($false = (chevy @ sK6 @ mactual)) | ($false = (eiw_di @ sK6 @ mactual)) | ($false = (car @ sK6 @ mactual)) | ($false = (white @ sK6 @ mactual)) | (~spl1_112 | ~spl1_113 | ~spl1_138)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2909])).
% 2.05/1.97  thf(f2909,plain,(
% 2.05/1.97    ($false = (car @ sK6 @ mactual)) | ($false = (eiw_di @ sK6 @ mactual)) | ($false = (chevy @ sK6 @ mactual)) | ($false = (dirty @ sK6 @ mactual)) | ($false = $true) | ($false = (white @ sK6 @ mactual)) | (~spl1_112 | ~spl1_113 | ~spl1_138)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2908,f1833])).
% 2.05/1.97  thf(f1833,plain,(
% 2.05/1.97    ((old @ sK6 @ mactual) = $true) | ~spl1_113),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1831])).
% 2.05/1.97  thf(f1831,definition,(
% 2.05/1.97    spl1_113 <=> ((old @ sK6 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_113])],[avatar_definition])).
% 2.05/1.97  thf(f2908,plain,(
% 2.05/1.97    ($false = (car @ sK6 @ mactual)) | ($false = (old @ sK6 @ mactual)) | ($false = (eiw_di @ sK6 @ mactual)) | ($false = (dirty @ sK6 @ mactual)) | ($false = (white @ sK6 @ mactual)) | ($false = (chevy @ sK6 @ mactual)) | (~spl1_112 | ~spl1_138)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2905])).
% 2.05/1.97  thf(f2905,plain,(
% 2.05/1.97    ($false = (eiw_di @ sK6 @ mactual)) | ($false = (chevy @ sK6 @ mactual)) | ($false = (white @ sK6 @ mactual)) | ($false = $true) | ($false = (old @ sK6 @ mactual)) | ($false = (dirty @ sK6 @ mactual)) | ($false = (car @ sK6 @ mactual)) | (~spl1_112 | ~spl1_138)),
% 2.05/1.97    inference(superposition,[status(thm)],[f2198,f1828])).
% 2.05/1.97  thf(f1828,plain,(
% 2.05/1.97    ((barrel @ sK3 @ sK6 @ mactual) = $true) | ~spl1_112),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1826])).
% 2.05/1.97  thf(f1826,definition,(
% 2.05/1.97    spl1_112 <=> ((barrel @ sK3 @ sK6 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_112])],[avatar_definition])).
% 2.05/1.97  thf(f1848,plain,(
% 2.05/1.97    ((car @ sK6 @ mactual) = $true) | ~spl1_116),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1846])).
% 2.05/1.97  thf(f1846,definition,(
% 2.05/1.97    spl1_116 <=> ((car @ sK6 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_116])],[avatar_definition])).
% 2.05/1.97  thf(f2903,plain,(
% 2.05/1.97    spl1_161 | spl1_160 | ~spl1_1 | ~spl1_93 | ~spl1_94 | ~spl1_98 | ~spl1_102 | ~spl1_103 | ~spl1_104 | ~spl1_105 | ~spl1_106 | ~spl1_107),
% 2.05/1.97    inference(avatar_split_clause,[status(thm)],[f2902,f1800,f1795,f1790,f1785,f1780,f1775,f1755,f1735,f1730,f1274,f2881,f2884])).
% 2.05/1.97  thf(f1274,definition,(
% 2.05/1.97    spl1_1 <=> ! [X3 : $i,X7 : $i,X5 : $i,X2 : $i] : (($false = (dirty @ X7 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (hollywood @ X2 @ mactual)) | ($false = (old @ X7 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (car @ X7 @ mactual)) | ($false = (chevy @ X7 @ mactual)) | ($false = (city @ X2 @ mactual)) | ($false = (way @ X5 @ mactual)) | ($false = (barrel @ X3 @ X7 @ mactual)) | ($false = (lonely @ X5 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (in @ X3 @ X2 @ mactual)) | ($false = (street @ X5 @ mactual)) | ($false = (event @ X3 @ mactual)) | ($false = (down @ X3 @ X5 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((white @ X7 @ mactual) = $false))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_1])],[avatar_definition])).
% 2.05/1.97  thf(f1730,definition,(
% 2.05/1.97    spl1_93 <=> ((eiw_di @ sK11 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_93])],[avatar_definition])).
% 2.05/1.97  thf(f1735,definition,(
% 2.05/1.97    spl1_94 <=> ($true = (eiw_di @ sK12 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_94])],[avatar_definition])).
% 2.05/1.97  thf(f1755,definition,(
% 2.05/1.97    spl1_98 <=> ((barrel @ sK11 @ sK12 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_98])],[avatar_definition])).
% 2.05/1.97  thf(f1775,definition,(
% 2.05/1.97    spl1_102 <=> ($true = (old @ sK12 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_102])],[avatar_definition])).
% 2.05/1.97  thf(f1780,definition,(
% 2.05/1.97    spl1_103 <=> ((dirty @ sK12 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_103])],[avatar_definition])).
% 2.05/1.97  thf(f1785,definition,(
% 2.05/1.97    spl1_104 <=> ($true = (white @ sK12 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_104])],[avatar_definition])).
% 2.05/1.97  thf(f1790,definition,(
% 2.05/1.97    spl1_105 <=> ((car @ sK12 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_105])],[avatar_definition])).
% 2.05/1.97  thf(f1795,definition,(
% 2.05/1.97    spl1_106 <=> ((chevy @ sK12 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_106])],[avatar_definition])).
% 2.05/1.97  thf(f1800,definition,(
% 2.05/1.97    spl1_107 <=> ((event @ sK11 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_107])],[avatar_definition])).
% 2.05/1.97  thf(f2902,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (down @ sK11 @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (in @ sK11 @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (way @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_93 | ~spl1_94 | ~spl1_98 | ~spl1_102 | ~spl1_103 | ~spl1_104 | ~spl1_105 | ~spl1_106 | ~spl1_107)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2901])).
% 2.05/1.97  thf(f2901,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (city @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = $true) | ($false = (in @ sK11 @ X1 @ mactual)) | ($false = (down @ sK11 @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_93 | ~spl1_94 | ~spl1_98 | ~spl1_102 | ~spl1_103 | ~spl1_104 | ~spl1_105 | ~spl1_106 | ~spl1_107)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2900,f1732])).
% 2.05/1.97  thf(f1732,plain,(
% 2.05/1.97    ((eiw_di @ sK11 @ mactual) = $true) | ~spl1_93),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1730])).
% 2.05/1.97  thf(f2900,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (down @ sK11 @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ sK11 @ mactual)) | ($false = (in @ sK11 @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_94 | ~spl1_98 | ~spl1_102 | ~spl1_103 | ~spl1_104 | ~spl1_105 | ~spl1_106 | ~spl1_107)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2899])).
% 2.05/1.97  thf(f2899,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (street @ X0 @ mactual)) | ($false = (in @ sK11 @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (down @ sK11 @ X0 @ mactual)) | ($false = (eiw_di @ sK11 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = $true)) ) | (~spl1_1 | ~spl1_94 | ~spl1_98 | ~spl1_102 | ~spl1_103 | ~spl1_104 | ~spl1_105 | ~spl1_106 | ~spl1_107)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2898,f1737])).
% 2.05/1.97  thf(f1737,plain,(
% 2.05/1.97    ($true = (eiw_di @ sK12 @ mactual)) | ~spl1_94),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1735])).
% 2.05/1.97  thf(f2898,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (in @ sK11 @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (eiw_di @ sK12 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ sK11 @ mactual)) | ($false = (down @ sK11 @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_98 | ~spl1_102 | ~spl1_103 | ~spl1_104 | ~spl1_105 | ~spl1_106 | ~spl1_107)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2897])).
% 2.05/1.97  thf(f2897,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (way @ X0 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (down @ sK11 @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (eiw_di @ sK12 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (in @ sK11 @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = $true) | ($false = (eiw_di @ sK11 @ mactual))) ) | (~spl1_1 | ~spl1_98 | ~spl1_102 | ~spl1_103 | ~spl1_104 | ~spl1_105 | ~spl1_106 | ~spl1_107)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2896,f1782])).
% 2.05/1.97  thf(f1782,plain,(
% 2.05/1.97    ((dirty @ sK12 @ mactual) = $true) | ~spl1_103),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1780])).
% 2.05/1.97  thf(f2896,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (in @ sK11 @ X1 @ mactual)) | ($false = (dirty @ sK12 @ mactual)) | ($false = (down @ sK11 @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ sK12 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ sK11 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_98 | ~spl1_102 | ~spl1_104 | ~spl1_105 | ~spl1_106 | ~spl1_107)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2895])).
% 2.05/1.97  thf(f2895,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (way @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (eiw_di @ sK11 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (in @ sK11 @ X1 @ mactual)) | ($false = (dirty @ sK12 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = $true) | ($false = (street @ X0 @ mactual)) | ($false = (down @ sK11 @ X0 @ mactual)) | ($false = (eiw_di @ sK12 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_98 | ~spl1_102 | ~spl1_104 | ~spl1_105 | ~spl1_106 | ~spl1_107)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2894,f1792])).
% 2.05/1.97  thf(f1792,plain,(
% 2.05/1.97    ((car @ sK12 @ mactual) = $true) | ~spl1_105),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1790])).
% 2.05/1.97  thf(f2894,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (car @ sK12 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (eiw_di @ sK11 @ mactual)) | ($false = (dirty @ sK12 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ sK12 @ mactual)) | ($false = (in @ sK11 @ X1 @ mactual)) | ($false = (down @ sK11 @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_98 | ~spl1_102 | ~spl1_104 | ~spl1_106 | ~spl1_107)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2893])).
% 2.05/1.97  thf(f2893,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (city @ X1 @ mactual)) | ($false = (in @ sK11 @ X1 @ mactual)) | ($false = $true) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (car @ sK12 @ mactual)) | ($false = (eiw_di @ sK12 @ mactual)) | ($false = (dirty @ sK12 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (down @ sK11 @ X0 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ sK11 @ mactual))) ) | (~spl1_1 | ~spl1_98 | ~spl1_102 | ~spl1_104 | ~spl1_106 | ~spl1_107)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2892,f1777])).
% 2.05/1.97  thf(f1777,plain,(
% 2.05/1.97    ($true = (old @ sK12 @ mactual)) | ~spl1_102),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1775])).
% 2.05/1.97  thf(f2892,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (down @ sK11 @ X0 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (old @ sK12 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (in @ sK11 @ X1 @ mactual)) | ($false = (eiw_di @ sK11 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (car @ sK12 @ mactual)) | ($false = (dirty @ sK12 @ mactual)) | ($false = (eiw_di @ sK12 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_98 | ~spl1_104 | ~spl1_106 | ~spl1_107)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2891])).
% 2.05/1.97  thf(f2891,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (dirty @ sK12 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (old @ sK12 @ mactual)) | ($false = (in @ sK11 @ X1 @ mactual)) | ($false = (down @ sK11 @ X0 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ sK12 @ mactual)) | ($false = (car @ sK12 @ mactual)) | ($false = $true) | ($false = (lonely @ X0 @ mactual)) | ($false = (eiw_di @ sK11 @ mactual))) ) | (~spl1_1 | ~spl1_98 | ~spl1_104 | ~spl1_106 | ~spl1_107)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2890,f1797])).
% 2.05/1.97  thf(f1797,plain,(
% 2.05/1.97    ((chevy @ sK12 @ mactual) = $true) | ~spl1_106),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1795])).
% 2.05/1.97  thf(f2890,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (down @ sK11 @ X0 @ mactual)) | ($false = (in @ sK11 @ X1 @ mactual)) | ($false = (chevy @ sK12 @ mactual)) | ($false = (eiw_di @ sK11 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (car @ sK12 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (old @ sK12 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (dirty @ sK12 @ mactual)) | ($false = (eiw_di @ sK12 @ mactual)) | ($false = (lonely @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_98 | ~spl1_104 | ~spl1_107)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2889])).
% 2.05/1.97  thf(f2889,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = $true) | ($false = (street @ X0 @ mactual)) | ($false = (down @ sK11 @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (in @ sK11 @ X1 @ mactual)) | ($false = (old @ sK12 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (dirty @ sK12 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (chevy @ sK12 @ mactual)) | ($false = (eiw_di @ sK11 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (car @ sK12 @ mactual)) | ($false = (eiw_di @ sK12 @ mactual))) ) | (~spl1_1 | ~spl1_98 | ~spl1_104 | ~spl1_107)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2888,f1787])).
% 2.05/1.97  thf(f1787,plain,(
% 2.05/1.97    ($true = (white @ sK12 @ mactual)) | ~spl1_104),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1785])).
% 2.05/1.97  thf(f2888,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (street @ X0 @ mactual)) | ($false = (white @ sK12 @ mactual)) | ($false = (down @ sK11 @ X0 @ mactual)) | ($false = (in @ sK11 @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (old @ sK12 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (car @ sK12 @ mactual)) | ($false = (chevy @ sK12 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (eiw_di @ sK12 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (dirty @ sK12 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ sK11 @ mactual))) ) | (~spl1_1 | ~spl1_98 | ~spl1_107)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2887])).
% 2.05/1.97  thf(f2887,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (way @ X0 @ mactual)) | ($false = (car @ sK12 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (white @ sK12 @ mactual)) | ($false = (eiw_di @ sK11 @ mactual)) | ($false = (dirty @ sK12 @ mactual)) | ($false = (eiw_di @ sK12 @ mactual)) | ($false = (down @ sK11 @ X0 @ mactual)) | ($false = $true) | ($false = (street @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (old @ sK12 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (in @ sK11 @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (chevy @ sK12 @ mactual))) ) | (~spl1_1 | ~spl1_98 | ~spl1_107)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2862,f1802])).
% 2.05/1.97  thf(f1802,plain,(
% 2.05/1.97    ((event @ sK11 @ mactual) = $true) | ~spl1_107),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1800])).
% 2.05/1.97  thf(f2862,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (in @ sK11 @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (white @ sK12 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (dirty @ sK12 @ mactual)) | ($false = (eiw_di @ sK12 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (down @ sK11 @ X0 @ mactual)) | ($false = (old @ sK12 @ mactual)) | ($false = (eiw_di @ sK11 @ mactual)) | ($false = (chevy @ sK12 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (car @ sK12 @ mactual)) | ($false = (event @ sK11 @ mactual)) | ($false = (city @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_98)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2860])).
% 2.05/1.97  thf(f2860,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (street @ X0 @ mactual)) | ($false = (old @ sK12 @ mactual)) | ($false = (dirty @ sK12 @ mactual)) | ($false = $true) | ($false = (event @ sK11 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (down @ sK11 @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (in @ sK11 @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (eiw_di @ sK11 @ mactual)) | ($false = (chevy @ sK12 @ mactual)) | ($false = (car @ sK12 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ sK12 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (white @ sK12 @ mactual))) ) | (~spl1_1 | ~spl1_98)),
% 2.05/1.97    inference(superposition,[status(thm)],[f1757,f1275])).
% 2.05/1.97  thf(f1275,plain,(
% 2.05/1.97    ( ! [X2 : $i,X3 : $i,X7 : $i,X5 : $i] : (($false = (down @ X3 @ X5 @ mactual)) | ($false = (in @ X3 @ X2 @ mactual)) | ($false = (barrel @ X3 @ X7 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (lonely @ X5 @ mactual)) | ($false = (hollywood @ X2 @ mactual)) | ($false = (city @ X2 @ mactual)) | ($false = (street @ X5 @ mactual)) | ((white @ X7 @ mactual) = $false) | ($false = (way @ X5 @ mactual)) | ($false = (old @ X7 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (dirty @ X7 @ mactual)) | ($false = (chevy @ X7 @ mactual)) | ($false = (event @ X3 @ mactual)) | ($false = (car @ X7 @ mactual)) | ($false = (eiw_di @ X2 @ mactual))) ) | ~spl1_1),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1274])).
% 2.05/1.97  thf(f1757,plain,(
% 2.05/1.97    ((barrel @ sK11 @ sK12 @ mactual) = $true) | ~spl1_98),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1755])).
% 2.05/1.97  thf(f2858,plain,(
% 2.05/1.97    ~spl1_87 | ~spl1_159),
% 2.05/1.97    inference(avatar_contradiction_clause,[status(thm)],[f2857])).
% 2.05/1.97  thf(f2857,plain,(
% 2.05/1.97    $false | (~spl1_87 | ~spl1_159)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2856])).
% 2.05/1.97  thf(f2856,plain,(
% 2.05/1.97    ($false = $true) | (~spl1_87 | ~spl1_159)),
% 2.05/1.97    inference(backward_demodulation,[status(thm)],[f1702,f2851])).
% 2.05/1.97  thf(f2851,plain,(
% 2.05/1.97    ($false = (lonely @ sK4 @ mactual)) | ~spl1_159),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f2849])).
% 2.05/1.97  thf(f2849,definition,(
% 2.05/1.97    spl1_159 <=> ($false = (lonely @ sK4 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_159])],[avatar_definition])).
% 2.05/1.97  thf(f1702,plain,(
% 2.05/1.97    ((lonely @ sK4 @ mactual) = $true) | ~spl1_87),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1700])).
% 2.05/1.97  thf(f1700,definition,(
% 2.05/1.97    spl1_87 <=> ((lonely @ sK4 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_87])],[avatar_definition])).
% 2.05/1.97  thf(f2855,plain,(
% 2.05/1.97    spl1_159 | spl1_158 | ~spl1_80 | ~spl1_88 | ~spl1_89 | ~spl1_137),
% 2.05/1.97    inference(avatar_split_clause,[status(thm)],[f2854,f2194,f1710,f1705,f1665,f2845,f2849])).
% 2.05/1.97  thf(f1665,definition,(
% 2.05/1.97    spl1_80 <=> ((down @ sK3 @ sK4 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_80])],[avatar_definition])).
% 2.05/1.97  thf(f1705,definition,(
% 2.05/1.97    spl1_88 <=> ((way @ sK4 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_88])],[avatar_definition])).
% 2.05/1.97  thf(f1710,definition,(
% 2.05/1.97    spl1_89 <=> ((street @ sK4 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_89])],[avatar_definition])).
% 2.05/1.97  thf(f2194,definition,(
% 2.05/1.97    spl1_137 <=> ! [X0 : $i] : (($false = (way @ X0 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_137])],[avatar_definition])).
% 2.05/1.97  thf(f2854,plain,(
% 2.05/1.97    ($false = (eiw_di @ sK4 @ mactual)) | ($false = (lonely @ sK4 @ mactual)) | (~spl1_80 | ~spl1_88 | ~spl1_89 | ~spl1_137)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2853])).
% 2.05/1.97  thf(f2853,plain,(
% 2.05/1.97    ($false = $true) | ($false = (lonely @ sK4 @ mactual)) | ($false = (eiw_di @ sK4 @ mactual)) | (~spl1_80 | ~spl1_88 | ~spl1_89 | ~spl1_137)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2832,f1712])).
% 2.05/1.97  thf(f1712,plain,(
% 2.05/1.97    ((street @ sK4 @ mactual) = $true) | ~spl1_89),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1710])).
% 2.05/1.97  thf(f2832,plain,(
% 2.05/1.97    ($false = (lonely @ sK4 @ mactual)) | ($false = (street @ sK4 @ mactual)) | ($false = (eiw_di @ sK4 @ mactual)) | (~spl1_80 | ~spl1_88 | ~spl1_137)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2831])).
% 2.05/1.97  thf(f2831,plain,(
% 2.05/1.97    ($false = (eiw_di @ sK4 @ mactual)) | ($false = (lonely @ sK4 @ mactual)) | ($false = $true) | ($false = (street @ sK4 @ mactual)) | (~spl1_80 | ~spl1_88 | ~spl1_137)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2830,f1707])).
% 2.05/1.97  thf(f1707,plain,(
% 2.05/1.97    ((way @ sK4 @ mactual) = $true) | ~spl1_88),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1705])).
% 2.05/1.97  thf(f2830,plain,(
% 2.05/1.97    ($false = (way @ sK4 @ mactual)) | ($false = (lonely @ sK4 @ mactual)) | ($false = (eiw_di @ sK4 @ mactual)) | ($false = (street @ sK4 @ mactual)) | (~spl1_80 | ~spl1_137)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2827])).
% 2.05/1.97  thf(f2827,plain,(
% 2.05/1.97    ($false = (street @ sK4 @ mactual)) | ($false = $true) | ($false = (way @ sK4 @ mactual)) | ($false = (lonely @ sK4 @ mactual)) | ($false = (eiw_di @ sK4 @ mactual)) | (~spl1_80 | ~spl1_137)),
% 2.05/1.97    inference(superposition,[status(thm)],[f2195,f1667])).
% 2.05/1.97  thf(f1667,plain,(
% 2.05/1.97    ((down @ sK3 @ sK4 @ mactual) = $true) | ~spl1_80),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1665])).
% 2.05/1.97  thf(f2195,plain,(
% 2.05/1.97    ( ! [X0 : $i] : (($false = (down @ sK3 @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (way @ X0 @ mactual))) ) | ~spl1_137),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f2194])).
% 2.05/1.97  thf(f2839,plain,(
% 2.05/1.97    ~spl1_77 | ~spl1_80 | ~spl1_87 | ~spl1_88 | ~spl1_89 | ~spl1_137),
% 2.05/1.97    inference(avatar_contradiction_clause,[status(thm)],[f2838])).
% 2.05/1.97  thf(f2838,plain,(
% 2.05/1.97    $false | (~spl1_77 | ~spl1_80 | ~spl1_87 | ~spl1_88 | ~spl1_89 | ~spl1_137)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2837])).
% 2.05/1.97  thf(f2837,plain,(
% 2.05/1.97    ($false = $true) | (~spl1_77 | ~spl1_80 | ~spl1_87 | ~spl1_88 | ~spl1_89 | ~spl1_137)),
% 2.05/1.97    inference(backward_demodulation,[status(thm)],[f1702,f2836])).
% 2.05/1.97  thf(f2836,plain,(
% 2.05/1.97    ($false = (lonely @ sK4 @ mactual)) | (~spl1_77 | ~spl1_80 | ~spl1_88 | ~spl1_89 | ~spl1_137)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2835])).
% 2.05/1.97  thf(f2835,plain,(
% 2.05/1.97    ($false = (lonely @ sK4 @ mactual)) | ($false = $true) | (~spl1_77 | ~spl1_80 | ~spl1_88 | ~spl1_89 | ~spl1_137)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2834,f1712])).
% 2.05/1.97  thf(f2834,plain,(
% 2.05/1.97    ($false = (street @ sK4 @ mactual)) | ($false = (lonely @ sK4 @ mactual)) | (~spl1_77 | ~spl1_80 | ~spl1_88 | ~spl1_137)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2833])).
% 2.05/1.97  thf(f2833,plain,(
% 2.05/1.97    ($false = (lonely @ sK4 @ mactual)) | ($false = (street @ sK4 @ mactual)) | ($false = $true) | (~spl1_77 | ~spl1_80 | ~spl1_88 | ~spl1_137)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2832,f1652])).
% 2.05/1.97  thf(f2825,plain,(
% 2.05/1.97    ~spl1_38 | ~spl1_43 | ~spl1_55 | ~spl1_56 | ~spl1_143),
% 2.05/1.97    inference(avatar_contradiction_clause,[status(thm)],[f2824])).
% 2.05/1.97  thf(f2824,plain,(
% 2.05/1.97    $false | (~spl1_38 | ~spl1_43 | ~spl1_55 | ~spl1_56 | ~spl1_143)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2823])).
% 2.05/1.97  thf(f2823,plain,(
% 2.05/1.97    ($false = $true) | (~spl1_38 | ~spl1_43 | ~spl1_55 | ~spl1_56 | ~spl1_143)),
% 2.05/1.97    inference(backward_demodulation,[status(thm)],[f1544,f2822])).
% 2.05/1.97  thf(f2822,plain,(
% 2.05/1.97    ($false = (city @ sK19 @ mactual)) | (~spl1_38 | ~spl1_43 | ~spl1_56 | ~spl1_143)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2821])).
% 2.05/1.97  thf(f2821,plain,(
% 2.05/1.97    ($false = (city @ sK19 @ mactual)) | ($false = $true) | (~spl1_38 | ~spl1_43 | ~spl1_56 | ~spl1_143)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2820,f1460])).
% 2.05/1.97  thf(f1460,plain,(
% 2.05/1.97    ((eiw_di @ sK19 @ mactual) = $true) | ~spl1_38),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1458])).
% 2.05/1.97  thf(f1458,definition,(
% 2.05/1.97    spl1_38 <=> ((eiw_di @ sK19 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_38])],[avatar_definition])).
% 2.05/1.97  thf(f2820,plain,(
% 2.05/1.97    ($false = (city @ sK19 @ mactual)) | ($false = (eiw_di @ sK19 @ mactual)) | (~spl1_43 | ~spl1_56 | ~spl1_143)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2819])).
% 2.05/1.97  thf(f2819,plain,(
% 2.05/1.97    ($false = (eiw_di @ sK19 @ mactual)) | ($false = (city @ sK19 @ mactual)) | ($false = $true) | (~spl1_43 | ~spl1_56 | ~spl1_143)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2818,f1549])).
% 2.05/1.97  thf(f1549,plain,(
% 2.05/1.97    ($true = (hollywood @ sK19 @ mactual)) | ~spl1_56),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1547])).
% 2.05/1.97  thf(f1547,definition,(
% 2.05/1.97    spl1_56 <=> ($true = (hollywood @ sK19 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_56])],[avatar_definition])).
% 2.05/1.97  thf(f2818,plain,(
% 2.05/1.97    ($false = (city @ sK19 @ mactual)) | ($false = (hollywood @ sK19 @ mactual)) | ($false = (eiw_di @ sK19 @ mactual)) | (~spl1_43 | ~spl1_143)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2815])).
% 2.05/1.97  thf(f2815,plain,(
% 2.05/1.97    ($false = (city @ sK19 @ mactual)) | ($false = (eiw_di @ sK19 @ mactual)) | ($false = (hollywood @ sK19 @ mactual)) | ($false = $true) | (~spl1_43 | ~spl1_143)),
% 2.05/1.97    inference(superposition,[status(thm)],[f2279,f1484])).
% 2.05/1.97  thf(f1484,plain,(
% 2.05/1.97    ((in @ sK20 @ sK19 @ mactual) = $true) | ~spl1_43),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1482])).
% 2.05/1.97  thf(f1482,definition,(
% 2.05/1.97    spl1_43 <=> ((in @ sK20 @ sK19 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_43])],[avatar_definition])).
% 2.05/1.97  thf(f2279,plain,(
% 2.05/1.97    ( ! [X1 : $i] : (($false = (in @ sK20 @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (city @ X1 @ mactual))) ) | ~spl1_143),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f2278])).
% 2.05/1.97  thf(f2278,definition,(
% 2.05/1.97    spl1_143 <=> ! [X1 : $i] : (($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (in @ sK20 @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_143])],[avatar_definition])).
% 2.05/1.97  thf(f1544,plain,(
% 2.05/1.97    ((city @ sK19 @ mactual) = $true) | ~spl1_55),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1542])).
% 2.05/1.97  thf(f1542,definition,(
% 2.05/1.97    spl1_55 <=> ((city @ sK19 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_55])],[avatar_definition])).
% 2.05/1.97  thf(f2809,plain,(
% 2.05/1.97    spl1_147 | spl1_137 | ~spl1_1 | ~spl1_58 | ~spl1_90 | ~spl1_111 | ~spl1_112 | ~spl1_113 | ~spl1_114 | ~spl1_115 | ~spl1_116 | ~spl1_117),
% 2.05/1.97    inference(avatar_split_clause,[status(thm)],[f2808,f1851,f1846,f1841,f1836,f1831,f1826,f1819,f1715,f1556,f1274,f2194,f2394])).
% 2.05/1.97  thf(f2394,definition,(
% 2.05/1.97    spl1_147 <=> ! [X0 : $i] : (($false = (eiw_di @ X0 @ mactual)) | ($false = (city @ X0 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = (in @ sK3 @ X0 @ mactual)))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_147])],[avatar_definition])).
% 2.05/1.97  thf(f1556,definition,(
% 2.05/1.97    spl1_58 <=> ((eiw_di @ sK3 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_58])],[avatar_definition])).
% 2.05/1.97  thf(f1715,definition,(
% 2.05/1.97    spl1_90 <=> ((event @ sK3 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_90])],[avatar_definition])).
% 2.05/1.97  thf(f2808,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (in @ sK3 @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_58 | ~spl1_90 | ~spl1_111 | ~spl1_112 | ~spl1_113 | ~spl1_114 | ~spl1_115 | ~spl1_116 | ~spl1_117)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2807])).
% 2.05/1.97  thf(f2807,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (lonely @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (in @ sK3 @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = $true)) ) | (~spl1_1 | ~spl1_58 | ~spl1_90 | ~spl1_111 | ~spl1_112 | ~spl1_113 | ~spl1_114 | ~spl1_115 | ~spl1_116 | ~spl1_117)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2806,f1838])).
% 2.05/1.97  thf(f2806,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (down @ sK3 @ X0 @ mactual)) | ($false = (in @ sK3 @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (dirty @ sK6 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (street @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_58 | ~spl1_90 | ~spl1_111 | ~spl1_112 | ~spl1_113 | ~spl1_115 | ~spl1_116 | ~spl1_117)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2805])).
% 2.05/1.97  thf(f2805,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (city @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (in @ sK3 @ X1 @ mactual)) | ($false = (dirty @ sK6 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = $true) | ($false = (street @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_58 | ~spl1_90 | ~spl1_111 | ~spl1_112 | ~spl1_113 | ~spl1_115 | ~spl1_116 | ~spl1_117)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2804,f1848])).
% 2.05/1.97  thf(f2804,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (street @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (car @ sK6 @ mactual)) | ($false = (dirty @ sK6 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (in @ sK3 @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_58 | ~spl1_90 | ~spl1_111 | ~spl1_112 | ~spl1_113 | ~spl1_115 | ~spl1_117)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2803])).
% 2.05/1.97  thf(f2803,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (in @ sK3 @ X1 @ mactual)) | ($false = (dirty @ sK6 @ mactual)) | ($false = (car @ sK6 @ mactual)) | ($false = $true) | ($false = (eiw_di @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_58 | ~spl1_90 | ~spl1_111 | ~spl1_112 | ~spl1_113 | ~spl1_115 | ~spl1_117)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2802,f1558])).
% 2.05/1.97  thf(f1558,plain,(
% 2.05/1.97    ((eiw_di @ sK3 @ mactual) = $true) | ~spl1_58),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1556])).
% 2.05/1.97  thf(f2802,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (down @ sK3 @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ sK3 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (dirty @ sK6 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (car @ sK6 @ mactual)) | ($false = (in @ sK3 @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_90 | ~spl1_111 | ~spl1_112 | ~spl1_113 | ~spl1_115 | ~spl1_117)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2801])).
% 2.05/1.97  thf(f2801,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (car @ sK6 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = $true) | ($false = (way @ X0 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ sK3 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (dirty @ sK6 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (in @ sK3 @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_90 | ~spl1_111 | ~spl1_112 | ~spl1_113 | ~spl1_115 | ~spl1_117)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2800,f1717])).
% 2.05/1.97  thf(f1717,plain,(
% 2.05/1.97    ((event @ sK3 @ mactual) = $true) | ~spl1_90),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1715])).
% 2.05/1.97  thf(f2800,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (in @ sK3 @ X1 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (event @ sK3 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (car @ sK6 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ sK3 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (dirty @ sK6 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (street @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_111 | ~spl1_112 | ~spl1_113 | ~spl1_115 | ~spl1_117)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2799])).
% 2.05/1.97  thf(f2799,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (in @ sK3 @ X1 @ mactual)) | ($false = (dirty @ sK6 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ sK3 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (car @ sK6 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = $true) | ($false = (city @ X1 @ mactual)) | ($false = (event @ sK3 @ mactual))) ) | (~spl1_1 | ~spl1_111 | ~spl1_112 | ~spl1_113 | ~spl1_115 | ~spl1_117)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2798,f1821])).
% 2.05/1.97  thf(f2798,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ sK6 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (car @ sK6 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (event @ sK3 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (dirty @ sK6 @ mactual)) | ($false = (in @ sK3 @ X1 @ mactual)) | ($false = (eiw_di @ sK3 @ mactual)) | ($false = (street @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_112 | ~spl1_113 | ~spl1_115 | ~spl1_117)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2797])).
% 2.05/1.97  thf(f2797,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = $true) | ($false = (in @ sK3 @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (event @ sK3 @ mactual)) | ($false = (eiw_di @ sK6 @ mactual)) | ($false = (car @ sK6 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ sK3 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (dirty @ sK6 @ mactual))) ) | (~spl1_1 | ~spl1_112 | ~spl1_113 | ~spl1_115 | ~spl1_117)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2796,f1833])).
% 2.05/1.97  thf(f2796,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ sK6 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (eiw_di @ sK3 @ mactual)) | ($false = (car @ sK6 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (event @ sK3 @ mactual)) | ($false = (old @ sK6 @ mactual)) | ($false = (dirty @ sK6 @ mactual)) | ($false = (in @ sK3 @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_112 | ~spl1_115 | ~spl1_117)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2795])).
% 2.05/1.97  thf(f2795,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (street @ X0 @ mactual)) | ($false = (old @ sK6 @ mactual)) | ($false = (in @ sK3 @ X1 @ mactual)) | ($false = $true) | ($false = (lonely @ X0 @ mactual)) | ($false = (eiw_di @ sK3 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (dirty @ sK6 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ sK6 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (event @ sK3 @ mactual)) | ($false = (car @ sK6 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_112 | ~spl1_115 | ~spl1_117)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2794,f1843])).
% 2.05/1.97  thf(f2794,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (in @ sK3 @ X1 @ mactual)) | ($false = (white @ sK6 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (event @ sK3 @ mactual)) | ($false = (car @ sK6 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (eiw_di @ sK6 @ mactual)) | ($false = (old @ sK6 @ mactual)) | ($false = (dirty @ sK6 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ sK3 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_112 | ~spl1_117)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2793])).
% 2.05/1.97  thf(f2793,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ X1 @ mactual)) | ($false = (in @ sK3 @ X1 @ mactual)) | ($false = (eiw_di @ sK6 @ mactual)) | ($false = (car @ sK6 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = $true) | ($false = (old @ sK6 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (white @ sK6 @ mactual)) | ($false = (eiw_di @ sK3 @ mactual)) | ($false = (event @ sK3 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (dirty @ sK6 @ mactual)) | ($false = (street @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_112 | ~spl1_117)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2410,f1853])).
% 2.05/1.97  thf(f2410,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (lonely @ X0 @ mactual)) | ($false = (chevy @ sK6 @ mactual)) | ($false = (car @ sK6 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (event @ sK3 @ mactual)) | ($false = (dirty @ sK6 @ mactual)) | ($false = (in @ sK3 @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (eiw_di @ sK6 @ mactual)) | ($false = (eiw_di @ sK3 @ mactual)) | ($false = (white @ sK6 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (old @ sK6 @ mactual)) | ($false = (street @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_112)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2409])).
% 2.05/1.97  thf(f2409,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (white @ sK6 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = $true) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (event @ sK3 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (old @ sK6 @ mactual)) | ($false = (car @ sK6 @ mactual)) | ($false = (in @ sK3 @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ sK3 @ mactual)) | ($false = (eiw_di @ sK6 @ mactual)) | ($false = (chevy @ sK6 @ mactual)) | ($false = (dirty @ sK6 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (city @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_112)),
% 2.05/1.97    inference(superposition,[status(thm)],[f1275,f1828])).
% 2.05/1.97  thf(f2775,plain,(
% 2.05/1.97    ~spl1_91 | ~spl1_157),
% 2.05/1.97    inference(avatar_contradiction_clause,[status(thm)],[f2774])).
% 2.05/1.97  thf(f2774,plain,(
% 2.05/1.97    $false | (~spl1_91 | ~spl1_157)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2773])).
% 2.05/1.97  thf(f2773,plain,(
% 2.05/1.97    ($false = $true) | (~spl1_91 | ~spl1_157)),
% 2.05/1.97    inference(backward_demodulation,[status(thm)],[f1722,f2767])).
% 2.05/1.97  thf(f2767,plain,(
% 2.05/1.97    ($false = (city @ sK2 @ mactual)) | ~spl1_157),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f2765])).
% 2.05/1.97  thf(f2765,definition,(
% 2.05/1.97    spl1_157 <=> ($false = (city @ sK2 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_157])],[avatar_definition])).
% 2.05/1.97  thf(f1722,plain,(
% 2.05/1.97    ((city @ sK2 @ mactual) = $true) | ~spl1_91),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1720])).
% 2.05/1.97  thf(f1720,definition,(
% 2.05/1.97    spl1_91 <=> ((city @ sK2 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_91])],[avatar_definition])).
% 2.05/1.97  thf(f2772,plain,(
% 2.05/1.97    spl1_157 | ~spl1_79 | spl1_139 | spl1_141 | ~spl1_147),
% 2.05/1.97    inference(avatar_split_clause,[status(thm)],[f2771,f2394,f2244,f2218,f1660,f2765])).
% 2.05/1.97  thf(f1660,definition,(
% 2.05/1.97    spl1_79 <=> ($true = (in @ sK3 @ sK2 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_79])],[avatar_definition])).
% 2.05/1.97  thf(f2218,definition,(
% 2.05/1.97    spl1_139 <=> ($false = (eiw_di @ sK2 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_139])],[avatar_definition])).
% 2.05/1.97  thf(f2244,definition,(
% 2.05/1.97    spl1_141 <=> ($false = (hollywood @ sK2 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_141])],[avatar_definition])).
% 2.05/1.97  thf(f2771,plain,(
% 2.05/1.97    ($false = (city @ sK2 @ mactual)) | (~spl1_79 | spl1_139 | spl1_141 | ~spl1_147)),
% 2.05/1.97    inference(subsumption_resolution,[status(thm)],[f2770,f2245])).
% 2.05/1.97  thf(f2245,plain,(
% 2.05/1.97    ($false != (hollywood @ sK2 @ mactual)) | spl1_141),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f2244])).
% 2.05/1.97  thf(f2770,plain,(
% 2.05/1.97    ($false = (hollywood @ sK2 @ mactual)) | ($false = (city @ sK2 @ mactual)) | (~spl1_79 | spl1_139 | ~spl1_147)),
% 2.05/1.97    inference(subsumption_resolution,[status(thm)],[f2465,f2219])).
% 2.05/1.97  thf(f2219,plain,(
% 2.05/1.97    ($false != (eiw_di @ sK2 @ mactual)) | spl1_139),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f2218])).
% 2.05/1.97  thf(f2465,plain,(
% 2.05/1.97    ($false = (eiw_di @ sK2 @ mactual)) | ($false = (hollywood @ sK2 @ mactual)) | ($false = (city @ sK2 @ mactual)) | (~spl1_79 | ~spl1_147)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2464])).
% 2.05/1.97  thf(f2464,plain,(
% 2.05/1.97    ($false = $true) | ($false = (eiw_di @ sK2 @ mactual)) | ($false = (hollywood @ sK2 @ mactual)) | ($false = (city @ sK2 @ mactual)) | (~spl1_79 | ~spl1_147)),
% 2.05/1.97    inference(superposition,[status(thm)],[f1662,f2395])).
% 2.05/1.97  thf(f2395,plain,(
% 2.05/1.97    ( ! [X0 : $i] : (($false = (in @ sK3 @ X0 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (city @ X0 @ mactual))) ) | ~spl1_147),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f2394])).
% 2.05/1.97  thf(f1662,plain,(
% 2.05/1.97    ($true = (in @ sK3 @ sK2 @ mactual)) | ~spl1_79),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1660])).
% 2.05/1.97  thf(f2754,plain,(
% 2.05/1.97    ~spl1_39 | ~spl1_139),
% 2.05/1.97    inference(avatar_contradiction_clause,[status(thm)],[f2753])).
% 2.05/1.97  thf(f2753,plain,(
% 2.05/1.97    $false | (~spl1_39 | ~spl1_139)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2752])).
% 2.05/1.97  thf(f2752,plain,(
% 2.05/1.97    ($false = $true) | (~spl1_39 | ~spl1_139)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f1464,f2220])).
% 2.05/1.97  thf(f2220,plain,(
% 2.05/1.97    ($false = (eiw_di @ sK2 @ mactual)) | ~spl1_139),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f2218])).
% 2.05/1.97  thf(f1464,plain,(
% 2.05/1.97    ((eiw_di @ sK2 @ mactual) = $true) | ~spl1_39),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1462])).
% 2.05/1.97  thf(f1462,definition,(
% 2.05/1.97    spl1_39 <=> ((eiw_di @ sK2 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_39])],[avatar_definition])).
% 2.05/1.97  thf(f2746,plain,(
% 2.05/1.97    spl1_155 | spl1_149 | spl1_150 | ~spl1_1 | ~spl1_110 | ~spl1_118 | ~spl1_122 | ~spl1_126 | ~spl1_127 | ~spl1_128 | ~spl1_130 | ~spl1_131),
% 2.05/1.97    inference(avatar_split_clause,[status(thm)],[f2745,f1941,f1936,f1926,f1921,f1916,f1896,f1862,f1815,f1274,f2491,f2488,f2709])).
% 2.05/1.97  thf(f2488,definition,(
% 2.05/1.97    spl1_149 <=> ! [X1 : $i] : (($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_149])],[avatar_definition])).
% 2.05/1.97  thf(f1815,definition,(
% 2.05/1.97    spl1_110 <=> ((eiw_di @ sK7 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_110])],[avatar_definition])).
% 2.05/1.97  thf(f1862,definition,(
% 2.05/1.97    spl1_118 <=> ((eiw_di @ sK8 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_118])],[avatar_definition])).
% 2.05/1.97  thf(f1896,definition,(
% 2.05/1.97    spl1_122 <=> ((barrel @ sK7 @ sK8 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_122])],[avatar_definition])).
% 2.05/1.97  thf(f1916,definition,(
% 2.05/1.97    spl1_126 <=> ((old @ sK8 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_126])],[avatar_definition])).
% 2.05/1.97  thf(f1921,definition,(
% 2.05/1.97    spl1_127 <=> ((dirty @ sK8 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_127])],[avatar_definition])).
% 2.05/1.97  thf(f1926,definition,(
% 2.05/1.97    spl1_128 <=> ($true = (white @ sK8 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_128])],[avatar_definition])).
% 2.05/1.97  thf(f1936,definition,(
% 2.05/1.97    spl1_130 <=> ((chevy @ sK8 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_130])],[avatar_definition])).
% 2.05/1.97  thf(f1941,definition,(
% 2.05/1.97    spl1_131 <=> ((event @ sK7 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_131])],[avatar_definition])).
% 2.05/1.97  thf(f2745,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (in @ sK7 @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (car @ sK8 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_110 | ~spl1_118 | ~spl1_122 | ~spl1_126 | ~spl1_127 | ~spl1_128 | ~spl1_130 | ~spl1_131)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2744])).
% 2.05/1.97  thf(f2744,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = $true) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (car @ sK8 @ mactual))) ) | (~spl1_1 | ~spl1_110 | ~spl1_118 | ~spl1_122 | ~spl1_126 | ~spl1_127 | ~spl1_128 | ~spl1_130 | ~spl1_131)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2743,f1928])).
% 2.05/1.97  thf(f1928,plain,(
% 2.05/1.97    ($true = (white @ sK8 @ mactual)) | ~spl1_128),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1926])).
% 2.05/1.97  thf(f2743,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (way @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (white @ sK8 @ mactual)) | ($false = (car @ sK8 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_110 | ~spl1_118 | ~spl1_122 | ~spl1_126 | ~spl1_127 | ~spl1_130 | ~spl1_131)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2742])).
% 2.05/1.97  thf(f2742,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (white @ sK8 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (car @ sK8 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)) | ($false = $true) | ($false = (way @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_110 | ~spl1_118 | ~spl1_122 | ~spl1_126 | ~spl1_127 | ~spl1_130 | ~spl1_131)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2741,f1918])).
% 2.05/1.97  thf(f1918,plain,(
% 2.05/1.97    ((old @ sK8 @ mactual) = $true) | ~spl1_126),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1916])).
% 2.05/1.97  thf(f2741,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (old @ sK8 @ mactual)) | ($false = (car @ sK8 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (white @ sK8 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_110 | ~spl1_118 | ~spl1_122 | ~spl1_127 | ~spl1_130 | ~spl1_131)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2740])).
% 2.05/1.97  thf(f2740,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)) | ($false = (car @ sK8 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = $true) | ($false = (way @ X0 @ mactual)) | ($false = (white @ sK8 @ mactual)) | ($false = (old @ sK8 @ mactual))) ) | (~spl1_1 | ~spl1_110 | ~spl1_118 | ~spl1_122 | ~spl1_127 | ~spl1_130 | ~spl1_131)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2739,f1817])).
% 2.05/1.97  thf(f1817,plain,(
% 2.05/1.97    ((eiw_di @ sK7 @ mactual) = $true) | ~spl1_110),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1815])).
% 2.05/1.97  thf(f2739,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (way @ X0 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ sK7 @ mactual)) | ($false = (white @ sK8 @ mactual)) | ($false = (old @ sK8 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (car @ sK8 @ mactual)) | ($false = (eiw_di @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_118 | ~spl1_122 | ~spl1_127 | ~spl1_130 | ~spl1_131)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2738])).
% 2.05/1.97  thf(f2738,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (lonely @ X0 @ mactual)) | ($false = (old @ sK8 @ mactual)) | ($false = (car @ sK8 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ sK7 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (white @ sK8 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = $true) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_118 | ~spl1_122 | ~spl1_127 | ~spl1_130 | ~spl1_131)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2499,f1938])).
% 2.05/1.97  thf(f1938,plain,(
% 2.05/1.97    ((chevy @ sK8 @ mactual) = $true) | ~spl1_130),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1936])).
% 2.05/1.97  thf(f2499,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (chevy @ sK8 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (old @ sK8 @ mactual)) | ($false = (car @ sK8 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (white @ sK8 @ mactual)) | ($false = (eiw_di @ sK7 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_118 | ~spl1_122 | ~spl1_127 | ~spl1_131)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2498])).
% 2.05/1.97  thf(f2498,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (way @ X0 @ mactual)) | ($false = (car @ sK8 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (chevy @ sK8 @ mactual)) | ($false = (white @ sK8 @ mactual)) | ($false = $true) | ($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (eiw_di @ sK7 @ mactual)) | ($false = (old @ sK8 @ mactual))) ) | (~spl1_1 | ~spl1_118 | ~spl1_122 | ~spl1_127 | ~spl1_131)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2497,f1943])).
% 2.05/1.97  thf(f1943,plain,(
% 2.05/1.97    ((event @ sK7 @ mactual) = $true) | ~spl1_131),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1941])).
% 2.05/1.97  thf(f2497,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ X1 @ mactual)) | ($false = (event @ sK7 @ mactual)) | ($false = (old @ sK8 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (chevy @ sK8 @ mactual)) | ($false = (car @ sK8 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (eiw_di @ sK7 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (white @ sK8 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (street @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_118 | ~spl1_122 | ~spl1_127)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2496])).
% 2.05/1.97  thf(f2496,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (car @ sK8 @ mactual)) | ($false = (chevy @ sK8 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (white @ sK8 @ mactual)) | ($false = (event @ sK7 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ sK7 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (old @ sK8 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = $true) | ($false = (in @ sK7 @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_118 | ~spl1_122 | ~spl1_127)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2495,f1923])).
% 2.05/1.97  thf(f1923,plain,(
% 2.05/1.97    ((dirty @ sK8 @ mactual) = $true) | ~spl1_127),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1921])).
% 2.05/1.97  thf(f2495,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (dirty @ sK8 @ mactual)) | ($false = (event @ sK7 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ sK7 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (car @ sK8 @ mactual)) | ($false = (white @ sK8 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (old @ sK8 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (chevy @ sK8 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (way @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_118 | ~spl1_122)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2494])).
% 2.05/1.97  thf(f2494,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (down @ sK7 @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (car @ sK8 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = $true) | ($false = (dirty @ sK8 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ sK7 @ mactual)) | ($false = (old @ sK8 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (white @ sK8 @ mactual)) | ($false = (event @ sK7 @ mactual)) | ($false = (chevy @ sK8 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_118 | ~spl1_122)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2469,f1864])).
% 2.05/1.97  thf(f1864,plain,(
% 2.05/1.97    ((eiw_di @ sK8 @ mactual) = $true) | ~spl1_118),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1862])).
% 2.05/1.97  thf(f2469,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ sK8 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ sK7 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (event @ sK7 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (car @ sK8 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (old @ sK8 @ mactual)) | ($false = (chevy @ sK8 @ mactual)) | ($false = (dirty @ sK8 @ mactual)) | ($false = (white @ sK8 @ mactual))) ) | (~spl1_1 | ~spl1_122)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2468])).
% 2.05/1.97  thf(f2468,plain,(
% 2.05/1.97    ( ! [X0 : $i,X1 : $i] : (($false = (dirty @ sK8 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (eiw_di @ sK8 @ mactual)) | ($false = (car @ sK8 @ mactual)) | ($false = (chevy @ sK8 @ mactual)) | ($false = (old @ sK8 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (white @ sK8 @ mactual)) | ($false = (eiw_di @ sK7 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = $true) | ($false = (event @ sK7 @ mactual)) | ($false = (street @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_122)),
% 2.05/1.97    inference(superposition,[status(thm)],[f1275,f1898])).
% 2.05/1.97  thf(f1898,plain,(
% 2.05/1.97    ((barrel @ sK7 @ sK8 @ mactual) = $true) | ~spl1_122),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1896])).
% 2.05/1.97  thf(f2737,plain,(
% 2.05/1.97    ~spl1_92 | ~spl1_141),
% 2.05/1.97    inference(avatar_contradiction_clause,[status(thm)],[f2736])).
% 2.05/1.97  thf(f2736,plain,(
% 2.05/1.97    $false | (~spl1_92 | ~spl1_141)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2735])).
% 2.05/1.97  thf(f2735,plain,(
% 2.05/1.97    ($false = $true) | (~spl1_92 | ~spl1_141)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f1727,f2246])).
% 2.05/1.97  thf(f2246,plain,(
% 2.05/1.97    ($false = (hollywood @ sK2 @ mactual)) | ~spl1_141),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f2244])).
% 2.05/1.97  thf(f1727,plain,(
% 2.05/1.97    ((hollywood @ sK2 @ mactual) = $true) | ~spl1_92),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1725])).
% 2.05/1.97  thf(f1725,definition,(
% 2.05/1.97    spl1_92 <=> ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_92])],[avatar_definition])).
% 2.05/1.97  thf(f2694,plain,(
% 2.05/1.97    ~spl1_132 | ~spl1_133 | ~spl1_134 | ~spl1_135 | ~spl1_136 | ~spl1_150),
% 2.05/1.97    inference(avatar_contradiction_clause,[status(thm)],[f2693])).
% 2.05/1.97  thf(f2693,plain,(
% 2.05/1.97    $false | (~spl1_132 | ~spl1_133 | ~spl1_134 | ~spl1_135 | ~spl1_136 | ~spl1_150)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2692])).
% 2.05/1.97  thf(f2692,plain,(
% 2.05/1.97    ($false = $true) | (~spl1_132 | ~spl1_133 | ~spl1_134 | ~spl1_135 | ~spl1_136 | ~spl1_150)),
% 2.05/1.97    inference(backward_demodulation,[status(thm)],[f1975,f2691])).
% 2.05/1.97  thf(f2691,plain,(
% 2.05/1.97    ($false = (lonely @ sK9 @ mactual)) | (~spl1_132 | ~spl1_133 | ~spl1_135 | ~spl1_136 | ~spl1_150)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2690])).
% 2.05/1.97  thf(f2690,plain,(
% 2.05/1.97    ($false = (lonely @ sK9 @ mactual)) | ($false = $true) | (~spl1_132 | ~spl1_133 | ~spl1_135 | ~spl1_136 | ~spl1_150)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2689,f1985])).
% 2.05/1.97  thf(f1985,plain,(
% 2.05/1.97    ((street @ sK9 @ mactual) = $true) | ~spl1_136),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1983])).
% 2.05/1.97  thf(f1983,definition,(
% 2.05/1.97    spl1_136 <=> ((street @ sK9 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_136])],[avatar_definition])).
% 2.05/1.97  thf(f2689,plain,(
% 2.05/1.97    ($false = (street @ sK9 @ mactual)) | ($false = (lonely @ sK9 @ mactual)) | (~spl1_132 | ~spl1_133 | ~spl1_135 | ~spl1_150)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2688])).
% 2.05/1.97  thf(f2688,plain,(
% 2.05/1.97    ($false = (street @ sK9 @ mactual)) | ($false = (lonely @ sK9 @ mactual)) | ($false = $true) | (~spl1_132 | ~spl1_133 | ~spl1_135 | ~spl1_150)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2687,f1980])).
% 2.05/1.97  thf(f1980,plain,(
% 2.05/1.97    ((way @ sK9 @ mactual) = $true) | ~spl1_135),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1978])).
% 2.05/1.97  thf(f1978,definition,(
% 2.05/1.97    spl1_135 <=> ((way @ sK9 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_135])],[avatar_definition])).
% 2.05/1.97  thf(f2687,plain,(
% 2.05/1.97    ($false = (way @ sK9 @ mactual)) | ($false = (lonely @ sK9 @ mactual)) | ($false = (street @ sK9 @ mactual)) | (~spl1_132 | ~spl1_133 | ~spl1_150)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2686])).
% 2.05/1.97  thf(f2686,plain,(
% 2.05/1.97    ($false = (way @ sK9 @ mactual)) | ($false = (street @ sK9 @ mactual)) | ($false = $true) | ($false = (lonely @ sK9 @ mactual)) | (~spl1_132 | ~spl1_133 | ~spl1_150)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2685,f1950])).
% 2.05/1.97  thf(f1950,plain,(
% 2.05/1.97    ((eiw_di @ sK9 @ mactual) = $true) | ~spl1_132),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1948])).
% 2.05/1.97  thf(f1948,definition,(
% 2.05/1.97    spl1_132 <=> ((eiw_di @ sK9 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_132])],[avatar_definition])).
% 2.05/1.97  thf(f2685,plain,(
% 2.05/1.97    ($false = (eiw_di @ sK9 @ mactual)) | ($false = (lonely @ sK9 @ mactual)) | ($false = (way @ sK9 @ mactual)) | ($false = (street @ sK9 @ mactual)) | (~spl1_133 | ~spl1_150)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2682])).
% 2.05/1.97  thf(f2682,plain,(
% 2.05/1.97    ($false = (lonely @ sK9 @ mactual)) | ($false = (eiw_di @ sK9 @ mactual)) | ($false = (way @ sK9 @ mactual)) | ($false = $true) | ($false = (street @ sK9 @ mactual)) | (~spl1_133 | ~spl1_150)),
% 2.05/1.97    inference(superposition,[status(thm)],[f2492,f1969])).
% 2.05/1.97  thf(f1969,plain,(
% 2.05/1.97    ($true = (down @ sK7 @ sK9 @ mactual)) | ~spl1_133),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1967])).
% 2.05/1.97  thf(f1967,definition,(
% 2.05/1.97    spl1_133 <=> ($true = (down @ sK7 @ sK9 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_133])],[avatar_definition])).
% 2.05/1.97  thf(f1975,plain,(
% 2.05/1.97    ((lonely @ sK9 @ mactual) = $true) | ~spl1_134),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1973])).
% 2.05/1.97  thf(f1973,definition,(
% 2.05/1.97    spl1_134 <=> ((lonely @ sK9 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_134])],[avatar_definition])).
% 2.05/1.97  thf(f2655,plain,(
% 2.05/1.97    ~spl1_76 | ~spl1_108 | ~spl1_109 | ~spl1_120 | ~spl1_149),
% 2.05/1.97    inference(avatar_contradiction_clause,[status(thm)],[f2654])).
% 2.05/1.97  thf(f2654,plain,(
% 2.05/1.97    $false | (~spl1_76 | ~spl1_108 | ~spl1_109 | ~spl1_120 | ~spl1_149)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2653])).
% 2.05/1.97  thf(f2653,plain,(
% 2.05/1.97    ($false = $true) | (~spl1_76 | ~spl1_108 | ~spl1_109 | ~spl1_120 | ~spl1_149)),
% 2.05/1.97    inference(backward_demodulation,[status(thm)],[f1807,f2652])).
% 2.05/1.97  thf(f2652,plain,(
% 2.05/1.97    ($false = (city @ sK5 @ mactual)) | (~spl1_76 | ~spl1_109 | ~spl1_120 | ~spl1_149)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2651])).
% 2.05/1.97  thf(f2651,plain,(
% 2.05/1.97    ($false = (city @ sK5 @ mactual)) | ($false = $true) | (~spl1_76 | ~spl1_109 | ~spl1_120 | ~spl1_149)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2650,f1812])).
% 2.05/1.97  thf(f2650,plain,(
% 2.05/1.97    ($false = (city @ sK5 @ mactual)) | ($false = (hollywood @ sK5 @ mactual)) | (~spl1_76 | ~spl1_120 | ~spl1_149)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2649])).
% 2.05/1.97  thf(f2649,plain,(
% 2.05/1.97    ($false = $true) | ($false = (city @ sK5 @ mactual)) | ($false = (hollywood @ sK5 @ mactual)) | (~spl1_76 | ~spl1_120 | ~spl1_149)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2648,f1648])).
% 2.05/1.97  thf(f2648,plain,(
% 2.05/1.97    ($false = (eiw_di @ sK5 @ mactual)) | ($false = (hollywood @ sK5 @ mactual)) | ($false = (city @ sK5 @ mactual)) | (~spl1_120 | ~spl1_149)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2645])).
% 2.05/1.97  thf(f2645,plain,(
% 2.05/1.97    ($false = (hollywood @ sK5 @ mactual)) | ($false = (city @ sK5 @ mactual)) | ($false = $true) | ($false = (eiw_di @ sK5 @ mactual)) | (~spl1_120 | ~spl1_149)),
% 2.05/1.97    inference(superposition,[status(thm)],[f2489,f1888])).
% 2.05/1.97  thf(f1888,plain,(
% 2.05/1.97    ($true = (in @ sK7 @ sK5 @ mactual)) | ~spl1_120),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1886])).
% 2.05/1.97  thf(f1886,definition,(
% 2.05/1.97    spl1_120 <=> ($true = (in @ sK7 @ sK5 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_120])],[avatar_definition])).
% 2.05/1.97  thf(f2489,plain,(
% 2.05/1.97    ( ! [X1 : $i] : (($false = (in @ sK7 @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual))) ) | ~spl1_149),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f2488])).
% 2.05/1.97  thf(f2611,plain,(
% 2.05/1.97    ~spl1_60 | ~spl1_64 | ~spl1_68 | ~spl1_69 | ~spl1_70 | ~spl1_71 | ~spl1_72 | ~spl1_148),
% 2.05/1.97    inference(avatar_contradiction_clause,[status(thm)],[f2610])).
% 2.05/1.97  thf(f2610,plain,(
% 2.05/1.97    $false | (~spl1_60 | ~spl1_64 | ~spl1_68 | ~spl1_69 | ~spl1_70 | ~spl1_71 | ~spl1_72 | ~spl1_148)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2609])).
% 2.05/1.97  thf(f2609,plain,(
% 2.05/1.97    ($false = $true) | (~spl1_60 | ~spl1_64 | ~spl1_68 | ~spl1_69 | ~spl1_70 | ~spl1_71 | ~spl1_72 | ~spl1_148)),
% 2.05/1.97    inference(backward_demodulation,[status(thm)],[f1623,f2608])).
% 2.05/1.97  thf(f2608,plain,(
% 2.05/1.97    ($false = (car @ sK17 @ mactual)) | (~spl1_60 | ~spl1_64 | ~spl1_68 | ~spl1_69 | ~spl1_70 | ~spl1_72 | ~spl1_148)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2607])).
% 2.05/1.97  thf(f2607,plain,(
% 2.05/1.97    ($false = (car @ sK17 @ mactual)) | ($false = $true) | (~spl1_60 | ~spl1_64 | ~spl1_68 | ~spl1_69 | ~spl1_70 | ~spl1_72 | ~spl1_148)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2606,f1628])).
% 2.05/1.97  thf(f1628,plain,(
% 2.05/1.97    ((chevy @ sK17 @ mactual) = $true) | ~spl1_72),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1626])).
% 2.05/1.97  thf(f1626,definition,(
% 2.05/1.97    spl1_72 <=> ((chevy @ sK17 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_72])],[avatar_definition])).
% 2.05/1.97  thf(f2606,plain,(
% 2.05/1.97    ($false = (chevy @ sK17 @ mactual)) | ($false = (car @ sK17 @ mactual)) | (~spl1_60 | ~spl1_64 | ~spl1_68 | ~spl1_69 | ~spl1_70 | ~spl1_148)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2605])).
% 2.05/1.97  thf(f2605,plain,(
% 2.05/1.97    ($false = $true) | ($false = (car @ sK17 @ mactual)) | ($false = (chevy @ sK17 @ mactual)) | (~spl1_60 | ~spl1_64 | ~spl1_68 | ~spl1_69 | ~spl1_70 | ~spl1_148)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2604,f1613])).
% 2.05/1.97  thf(f1613,plain,(
% 2.05/1.97    ($true = (dirty @ sK17 @ mactual)) | ~spl1_69),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1611])).
% 2.05/1.97  thf(f1611,definition,(
% 2.05/1.97    spl1_69 <=> ($true = (dirty @ sK17 @ mactual))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_69])],[avatar_definition])).
% 2.05/1.97  thf(f2604,plain,(
% 2.05/1.97    ($false = (dirty @ sK17 @ mactual)) | ($false = (chevy @ sK17 @ mactual)) | ($false = (car @ sK17 @ mactual)) | (~spl1_60 | ~spl1_64 | ~spl1_68 | ~spl1_70 | ~spl1_148)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2603])).
% 2.05/1.97  thf(f2603,plain,(
% 2.05/1.97    ($false = (dirty @ sK17 @ mactual)) | ($false = $true) | ($false = (chevy @ sK17 @ mactual)) | ($false = (car @ sK17 @ mactual)) | (~spl1_60 | ~spl1_64 | ~spl1_68 | ~spl1_70 | ~spl1_148)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2602,f1618])).
% 2.05/1.97  thf(f1618,plain,(
% 2.05/1.97    ((white @ sK17 @ mactual) = $true) | ~spl1_70),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1616])).
% 2.05/1.97  thf(f1616,definition,(
% 2.05/1.97    spl1_70 <=> ((white @ sK17 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_70])],[avatar_definition])).
% 2.05/1.97  thf(f2602,plain,(
% 2.05/1.97    ($false = (white @ sK17 @ mactual)) | ($false = (dirty @ sK17 @ mactual)) | ($false = (chevy @ sK17 @ mactual)) | ($false = (car @ sK17 @ mactual)) | (~spl1_60 | ~spl1_64 | ~spl1_68 | ~spl1_148)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2601])).
% 2.05/1.97  thf(f2601,plain,(
% 2.05/1.97    ($false = (white @ sK17 @ mactual)) | ($false = (car @ sK17 @ mactual)) | ($false = (dirty @ sK17 @ mactual)) | ($false = (chevy @ sK17 @ mactual)) | ($false = $true) | (~spl1_60 | ~spl1_64 | ~spl1_68 | ~spl1_148)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2600,f1608])).
% 2.05/1.97  thf(f1608,plain,(
% 2.05/1.97    ((old @ sK17 @ mactual) = $true) | ~spl1_68),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1606])).
% 2.05/1.97  thf(f1606,definition,(
% 2.05/1.97    spl1_68 <=> ((old @ sK17 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_68])],[avatar_definition])).
% 2.05/1.97  thf(f2600,plain,(
% 2.05/1.97    ($false = (old @ sK17 @ mactual)) | ($false = (dirty @ sK17 @ mactual)) | ($false = (chevy @ sK17 @ mactual)) | ($false = (white @ sK17 @ mactual)) | ($false = (car @ sK17 @ mactual)) | (~spl1_60 | ~spl1_64 | ~spl1_148)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2599])).
% 2.05/1.97  thf(f2599,plain,(
% 2.05/1.97    ($false = (car @ sK17 @ mactual)) | ($false = $true) | ($false = (old @ sK17 @ mactual)) | ($false = (dirty @ sK17 @ mactual)) | ($false = (white @ sK17 @ mactual)) | ($false = (chevy @ sK17 @ mactual)) | (~spl1_60 | ~spl1_64 | ~spl1_148)),
% 2.05/1.97    inference(forward_demodulation,[status(thm)],[f2598,f1568])).
% 2.05/1.97  thf(f1568,plain,(
% 2.05/1.97    ((eiw_di @ sK17 @ mactual) = $true) | ~spl1_60),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1566])).
% 2.05/1.97  thf(f1566,definition,(
% 2.05/1.97    spl1_60 <=> ((eiw_di @ sK17 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_60])],[avatar_definition])).
% 2.05/1.97  thf(f2598,plain,(
% 2.05/1.97    ($false = (eiw_di @ sK17 @ mactual)) | ($false = (car @ sK17 @ mactual)) | ($false = (white @ sK17 @ mactual)) | ($false = (dirty @ sK17 @ mactual)) | ($false = (old @ sK17 @ mactual)) | ($false = (chevy @ sK17 @ mactual)) | (~spl1_64 | ~spl1_148)),
% 2.05/1.97    inference(trivial_inequality_removal,[status(thm)],[f2596])).
% 2.05/1.97  thf(f2596,plain,(
% 2.05/1.97    ($false = (white @ sK17 @ mactual)) | ($false = (car @ sK17 @ mactual)) | ($false = $true) | ($false = (eiw_di @ sK17 @ mactual)) | ($false = (old @ sK17 @ mactual)) | ($false = (chevy @ sK17 @ mactual)) | ($false = (dirty @ sK17 @ mactual)) | (~spl1_64 | ~spl1_148)),
% 2.05/1.97    inference(superposition,[status(thm)],[f1588,f2448])).
% 2.05/1.97  thf(f2448,plain,(
% 2.05/1.97    ( ! [X1 : $i] : (($false = (barrel @ sK16 @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (old @ X1 @ mactual))) ) | ~spl1_148),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f2447])).
% 2.05/1.97  thf(f2447,definition,(
% 2.05/1.97    spl1_148 <=> ! [X1 : $i] : (($false = (dirty @ X1 @ mactual)) | ($false = (barrel @ sK16 @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)))),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_148])],[avatar_definition])).
% 2.05/1.97  thf(f1588,plain,(
% 2.05/1.97    ((barrel @ sK16 @ sK17 @ mactual) = $true) | ~spl1_64),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1586])).
% 2.05/1.97  thf(f1586,definition,(
% 2.05/1.97    spl1_64 <=> ((barrel @ sK16 @ sK17 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_64])],[avatar_definition])).
% 2.05/1.97  thf(f1623,plain,(
% 2.05/1.97    ((car @ sK17 @ mactual) = $true) | ~spl1_71),
% 2.05/1.97    inference(avatar_component_clause,[status(thm)],[f1621])).
% 2.05/1.97  thf(f1621,definition,(
% 2.05/1.97    spl1_71 <=> ((car @ sK17 @ mactual) = $true)),
% 2.05/1.97    introduced(definition,[new_symbols(naming,[spl1_71])],[avatar_definition])).
% 2.05/1.97  thf(f2568,plain,(
% 2.05/1.97    ~spl1_41 | ~spl1_45 | ~spl1_49 | ~spl1_50 | ~spl1_51 | ~spl1_52 | ~spl1_53 | ~spl1_144),
% 2.05/1.98    inference(avatar_contradiction_clause,[status(thm)],[f2567])).
% 2.05/1.98  thf(f2567,plain,(
% 2.05/1.98    $false | (~spl1_41 | ~spl1_45 | ~spl1_49 | ~spl1_50 | ~spl1_51 | ~spl1_52 | ~spl1_53 | ~spl1_144)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2566])).
% 2.05/1.98  thf(f2566,plain,(
% 2.05/1.98    ($false = $true) | (~spl1_41 | ~spl1_45 | ~spl1_49 | ~spl1_50 | ~spl1_51 | ~spl1_52 | ~spl1_53 | ~spl1_144)),
% 2.05/1.98    inference(backward_demodulation,[status(thm)],[f1529,f2565])).
% 2.05/1.98  thf(f2565,plain,(
% 2.05/1.98    ($false = (car @ sK21 @ mactual)) | (~spl1_41 | ~spl1_45 | ~spl1_49 | ~spl1_50 | ~spl1_51 | ~spl1_53 | ~spl1_144)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2564])).
% 2.05/1.98  thf(f2564,plain,(
% 2.05/1.98    ($false = $true) | ($false = (car @ sK21 @ mactual)) | (~spl1_41 | ~spl1_45 | ~spl1_49 | ~spl1_50 | ~spl1_51 | ~spl1_53 | ~spl1_144)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2563,f1524])).
% 2.05/1.98  thf(f1524,plain,(
% 2.05/1.98    ((white @ sK21 @ mactual) = $true) | ~spl1_51),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1522])).
% 2.05/1.98  thf(f1522,definition,(
% 2.05/1.98    spl1_51 <=> ((white @ sK21 @ mactual) = $true)),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_51])],[avatar_definition])).
% 2.05/1.98  thf(f2563,plain,(
% 2.05/1.98    ($false = (car @ sK21 @ mactual)) | ($false = (white @ sK21 @ mactual)) | (~spl1_41 | ~spl1_45 | ~spl1_49 | ~spl1_50 | ~spl1_53 | ~spl1_144)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2562])).
% 2.05/1.98  thf(f2562,plain,(
% 2.05/1.98    ($false = (car @ sK21 @ mactual)) | ($false = (white @ sK21 @ mactual)) | ($false = $true) | (~spl1_41 | ~spl1_45 | ~spl1_49 | ~spl1_50 | ~spl1_53 | ~spl1_144)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2561,f1514])).
% 2.05/1.98  thf(f1514,plain,(
% 2.05/1.98    ($true = (old @ sK21 @ mactual)) | ~spl1_49),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1512])).
% 2.05/1.98  thf(f1512,definition,(
% 2.05/1.98    spl1_49 <=> ($true = (old @ sK21 @ mactual))),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_49])],[avatar_definition])).
% 2.05/1.98  thf(f2561,plain,(
% 2.05/1.98    ($false = (old @ sK21 @ mactual)) | ($false = (white @ sK21 @ mactual)) | ($false = (car @ sK21 @ mactual)) | (~spl1_41 | ~spl1_45 | ~spl1_50 | ~spl1_53 | ~spl1_144)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2560])).
% 2.05/1.98  thf(f2560,plain,(
% 2.05/1.98    ($false = (old @ sK21 @ mactual)) | ($false = (white @ sK21 @ mactual)) | ($false = (car @ sK21 @ mactual)) | ($false = $true) | (~spl1_41 | ~spl1_45 | ~spl1_50 | ~spl1_53 | ~spl1_144)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2559,f1519])).
% 2.05/1.98  thf(f1519,plain,(
% 2.05/1.98    ((dirty @ sK21 @ mactual) = $true) | ~spl1_50),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1517])).
% 2.05/1.98  thf(f1517,definition,(
% 2.05/1.98    spl1_50 <=> ((dirty @ sK21 @ mactual) = $true)),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_50])],[avatar_definition])).
% 2.05/1.98  thf(f2559,plain,(
% 2.05/1.98    ($false = (dirty @ sK21 @ mactual)) | ($false = (old @ sK21 @ mactual)) | ($false = (white @ sK21 @ mactual)) | ($false = (car @ sK21 @ mactual)) | (~spl1_41 | ~spl1_45 | ~spl1_53 | ~spl1_144)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2558])).
% 2.05/1.98  thf(f2558,plain,(
% 2.05/1.98    ($false = $true) | ($false = (old @ sK21 @ mactual)) | ($false = (dirty @ sK21 @ mactual)) | ($false = (car @ sK21 @ mactual)) | ($false = (white @ sK21 @ mactual)) | (~spl1_41 | ~spl1_45 | ~spl1_53 | ~spl1_144)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2557,f1534])).
% 2.05/1.98  thf(f1534,plain,(
% 2.05/1.98    ($true = (chevy @ sK21 @ mactual)) | ~spl1_53),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1532])).
% 2.05/1.98  thf(f1532,definition,(
% 2.05/1.98    spl1_53 <=> ($true = (chevy @ sK21 @ mactual))),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_53])],[avatar_definition])).
% 2.05/1.98  thf(f2557,plain,(
% 2.05/1.98    ($false = (white @ sK21 @ mactual)) | ($false = (chevy @ sK21 @ mactual)) | ($false = (dirty @ sK21 @ mactual)) | ($false = (car @ sK21 @ mactual)) | ($false = (old @ sK21 @ mactual)) | (~spl1_41 | ~spl1_45 | ~spl1_144)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2556])).
% 2.05/1.98  thf(f2556,plain,(
% 2.05/1.98    ($false = (old @ sK21 @ mactual)) | ($false = $true) | ($false = (chevy @ sK21 @ mactual)) | ($false = (white @ sK21 @ mactual)) | ($false = (car @ sK21 @ mactual)) | ($false = (dirty @ sK21 @ mactual)) | (~spl1_41 | ~spl1_45 | ~spl1_144)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2555,f1474])).
% 2.05/1.98  thf(f1474,plain,(
% 2.05/1.98    ($true = (eiw_di @ sK21 @ mactual)) | ~spl1_41),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1472])).
% 2.05/1.98  thf(f1472,definition,(
% 2.05/1.98    spl1_41 <=> ($true = (eiw_di @ sK21 @ mactual))),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_41])],[avatar_definition])).
% 2.05/1.98  thf(f2555,plain,(
% 2.05/1.98    ($false = (eiw_di @ sK21 @ mactual)) | ($false = (chevy @ sK21 @ mactual)) | ($false = (dirty @ sK21 @ mactual)) | ($false = (old @ sK21 @ mactual)) | ($false = (car @ sK21 @ mactual)) | ($false = (white @ sK21 @ mactual)) | (~spl1_45 | ~spl1_144)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2552])).
% 2.05/1.98  thf(f2552,plain,(
% 2.05/1.98    ($false = $true) | ($false = (chevy @ sK21 @ mactual)) | ($false = (dirty @ sK21 @ mactual)) | ($false = (white @ sK21 @ mactual)) | ($false = (old @ sK21 @ mactual)) | ($false = (eiw_di @ sK21 @ mactual)) | ($false = (car @ sK21 @ mactual)) | (~spl1_45 | ~spl1_144)),
% 2.05/1.98    inference(superposition,[status(thm)],[f2320,f1494])).
% 2.05/1.98  thf(f1494,plain,(
% 2.05/1.98    ((barrel @ sK20 @ sK21 @ mactual) = $true) | ~spl1_45),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1492])).
% 2.05/1.98  thf(f1492,definition,(
% 2.05/1.98    spl1_45 <=> ((barrel @ sK20 @ sK21 @ mactual) = $true)),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_45])],[avatar_definition])).
% 2.05/1.98  thf(f2320,plain,(
% 2.05/1.98    ( ! [X1 : $i] : (($false = (barrel @ sK20 @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (car @ X1 @ mactual))) ) | ~spl1_144),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f2319])).
% 2.05/1.98  thf(f2319,definition,(
% 2.05/1.98    spl1_144 <=> ! [X1 : $i] : (($false = (barrel @ sK20 @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)))),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_144])],[avatar_definition])).
% 2.05/1.98  thf(f1529,plain,(
% 2.05/1.98    ((car @ sK21 @ mactual) = $true) | ~spl1_52),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1527])).
% 2.05/1.98  thf(f1527,definition,(
% 2.05/1.98    spl1_52 <=> ((car @ sK21 @ mactual) = $true)),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_52])],[avatar_definition])).
% 2.05/1.98  thf(f2534,plain,(
% 2.05/1.98    ~spl1_57 | ~spl1_62 | ~spl1_74 | ~spl1_75 | ~spl1_146),
% 2.05/1.98    inference(avatar_contradiction_clause,[status(thm)],[f2533])).
% 2.05/1.98  thf(f2533,plain,(
% 2.05/1.98    $false | (~spl1_57 | ~spl1_62 | ~spl1_74 | ~spl1_75 | ~spl1_146)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2532])).
% 2.05/1.98  thf(f2532,plain,(
% 2.05/1.98    ($false = $true) | (~spl1_57 | ~spl1_62 | ~spl1_74 | ~spl1_75 | ~spl1_146)),
% 2.05/1.98    inference(backward_demodulation,[status(thm)],[f1638,f2531])).
% 2.05/1.98  thf(f2531,plain,(
% 2.05/1.98    ($false = (city @ sK15 @ mactual)) | (~spl1_57 | ~spl1_62 | ~spl1_75 | ~spl1_146)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2530])).
% 2.05/1.98  thf(f2530,plain,(
% 2.05/1.98    ($false = $true) | ($false = (city @ sK15 @ mactual)) | (~spl1_57 | ~spl1_62 | ~spl1_75 | ~spl1_146)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2529,f1643])).
% 2.05/1.98  thf(f1643,plain,(
% 2.05/1.98    ((hollywood @ sK15 @ mactual) = $true) | ~spl1_75),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1641])).
% 2.05/1.98  thf(f1641,definition,(
% 2.05/1.98    spl1_75 <=> ((hollywood @ sK15 @ mactual) = $true)),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_75])],[avatar_definition])).
% 2.05/1.98  thf(f2529,plain,(
% 2.05/1.98    ($false = (city @ sK15 @ mactual)) | ($false = (hollywood @ sK15 @ mactual)) | (~spl1_57 | ~spl1_62 | ~spl1_146)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2528])).
% 2.05/1.98  thf(f2528,plain,(
% 2.05/1.98    ($false = $true) | ($false = (hollywood @ sK15 @ mactual)) | ($false = (city @ sK15 @ mactual)) | (~spl1_57 | ~spl1_62 | ~spl1_146)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2527,f1554])).
% 2.05/1.98  thf(f1554,plain,(
% 2.05/1.98    ($true = (eiw_di @ sK15 @ mactual)) | ~spl1_57),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1552])).
% 2.05/1.98  thf(f1552,definition,(
% 2.05/1.98    spl1_57 <=> ($true = (eiw_di @ sK15 @ mactual))),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_57])],[avatar_definition])).
% 2.05/1.98  thf(f2527,plain,(
% 2.05/1.98    ($false = (city @ sK15 @ mactual)) | ($false = (eiw_di @ sK15 @ mactual)) | ($false = (hollywood @ sK15 @ mactual)) | (~spl1_62 | ~spl1_146)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2524])).
% 2.05/1.98  thf(f2524,plain,(
% 2.05/1.98    ($false = (eiw_di @ sK15 @ mactual)) | ($false = (city @ sK15 @ mactual)) | ($false = $true) | ($false = (hollywood @ sK15 @ mactual)) | (~spl1_62 | ~spl1_146)),
% 2.05/1.98    inference(superposition,[status(thm)],[f2360,f1578])).
% 2.05/1.98  thf(f1578,plain,(
% 2.05/1.98    ((in @ sK16 @ sK15 @ mactual) = $true) | ~spl1_62),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1576])).
% 2.05/1.98  thf(f1576,definition,(
% 2.05/1.98    spl1_62 <=> ((in @ sK16 @ sK15 @ mactual) = $true)),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_62])],[avatar_definition])).
% 2.05/1.98  thf(f2360,plain,(
% 2.05/1.98    ( ! [X1 : $i] : (($false = (in @ sK16 @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (city @ X1 @ mactual))) ) | ~spl1_146),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f2359])).
% 2.05/1.98  thf(f2359,definition,(
% 2.05/1.98    spl1_146 <=> ! [X1 : $i] : (($false = (eiw_di @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (in @ sK16 @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)))),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_146])],[avatar_definition])).
% 2.05/1.98  thf(f1638,plain,(
% 2.05/1.98    ((city @ sK15 @ mactual) = $true) | ~spl1_74),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1636])).
% 2.05/1.98  thf(f1636,definition,(
% 2.05/1.98    spl1_74 <=> ((city @ sK15 @ mactual) = $true)),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_74])],[avatar_definition])).
% 2.05/1.98  thf(f2510,plain,(
% 2.05/1.98    spl1_149 | spl1_150 | ~spl1_1 | ~spl1_110 | ~spl1_118 | ~spl1_122 | ~spl1_126 | ~spl1_127 | ~spl1_128 | ~spl1_129 | ~spl1_130 | ~spl1_131),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f2509,f1941,f1936,f1931,f1926,f1921,f1916,f1896,f1862,f1815,f1274,f2491,f2488])).
% 2.05/1.98  thf(f2509,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (street @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)) | ($false = (way @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_110 | ~spl1_118 | ~spl1_122 | ~spl1_126 | ~spl1_127 | ~spl1_128 | ~spl1_129 | ~spl1_130 | ~spl1_131)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2508])).
% 2.05/1.98  thf(f2508,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (in @ sK7 @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = $true)) ) | (~spl1_1 | ~spl1_110 | ~spl1_118 | ~spl1_122 | ~spl1_126 | ~spl1_127 | ~spl1_128 | ~spl1_129 | ~spl1_130 | ~spl1_131)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2507,f1928])).
% 2.05/1.98  thf(f2507,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (in @ sK7 @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (white @ sK8 @ mactual))) ) | (~spl1_1 | ~spl1_110 | ~spl1_118 | ~spl1_122 | ~spl1_126 | ~spl1_127 | ~spl1_129 | ~spl1_130 | ~spl1_131)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2506])).
% 2.05/1.98  thf(f2506,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (white @ sK8 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = $true)) ) | (~spl1_1 | ~spl1_110 | ~spl1_118 | ~spl1_122 | ~spl1_126 | ~spl1_127 | ~spl1_129 | ~spl1_130 | ~spl1_131)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2505,f1817])).
% 2.05/1.98  thf(f2505,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (down @ sK7 @ X0 @ mactual)) | ($false = (eiw_di @ sK7 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (white @ sK8 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_118 | ~spl1_122 | ~spl1_126 | ~spl1_127 | ~spl1_129 | ~spl1_130 | ~spl1_131)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2504])).
% 2.05/1.98  thf(f2504,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ sK7 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = $true) | ($false = (hollywood @ X1 @ mactual)) | ($false = (white @ sK8 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_118 | ~spl1_122 | ~spl1_126 | ~spl1_127 | ~spl1_129 | ~spl1_130 | ~spl1_131)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2503,f1918])).
% 2.05/1.98  thf(f2503,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (old @ sK8 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (white @ sK8 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ sK7 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_118 | ~spl1_122 | ~spl1_127 | ~spl1_129 | ~spl1_130 | ~spl1_131)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2502])).
% 2.05/1.98  thf(f2502,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (street @ X0 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = $true) | ($false = (lonely @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (old @ sK8 @ mactual)) | ($false = (eiw_di @ sK7 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)) | ($false = (white @ sK8 @ mactual))) ) | (~spl1_1 | ~spl1_118 | ~spl1_122 | ~spl1_127 | ~spl1_129 | ~spl1_130 | ~spl1_131)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2501,f1938])).
% 2.05/1.98  thf(f2501,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (chevy @ sK8 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (old @ sK8 @ mactual)) | ($false = (white @ sK8 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)) | ($false = (eiw_di @ sK7 @ mactual)) | ($false = (eiw_di @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_118 | ~spl1_122 | ~spl1_127 | ~spl1_129 | ~spl1_131)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2500])).
% 2.05/1.98  thf(f2500,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ sK7 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (in @ sK7 @ X1 @ mactual)) | ($false = $true) | ($false = (street @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (down @ sK7 @ X0 @ mactual)) | ($false = (chevy @ sK8 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (old @ sK8 @ mactual)) | ($false = (white @ sK8 @ mactual))) ) | (~spl1_1 | ~spl1_118 | ~spl1_122 | ~spl1_127 | ~spl1_129 | ~spl1_131)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2499,f1933])).
% 2.05/1.98  thf(f2462,plain,(
% 2.05/1.98    spl1_146 | spl1_148 | ~spl1_1 | ~spl1_59 | ~spl1_61 | ~spl1_63 | ~spl1_65 | ~spl1_66 | ~spl1_67 | ~spl1_73),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f2461,f1631,f1601,f1596,f1591,f1581,f1571,f1561,f1274,f2447,f2359])).
% 2.05/1.98  thf(f1561,definition,(
% 2.05/1.98    spl1_59 <=> ((eiw_di @ sK16 @ mactual) = $true)),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_59])],[avatar_definition])).
% 2.05/1.98  thf(f1571,definition,(
% 2.05/1.98    spl1_61 <=> ((eiw_di @ sK18 @ mactual) = $true)),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_61])],[avatar_definition])).
% 2.05/1.98  thf(f1581,definition,(
% 2.05/1.98    spl1_63 <=> ((down @ sK16 @ sK18 @ mactual) = $true)),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_63])],[avatar_definition])).
% 2.05/1.98  thf(f1591,definition,(
% 2.05/1.98    spl1_65 <=> ((lonely @ sK18 @ mactual) = $true)),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_65])],[avatar_definition])).
% 2.05/1.98  thf(f1596,definition,(
% 2.05/1.98    spl1_66 <=> ((way @ sK18 @ mactual) = $true)),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_66])],[avatar_definition])).
% 2.05/1.98  thf(f1601,definition,(
% 2.05/1.98    spl1_67 <=> ((street @ sK18 @ mactual) = $true)),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_67])],[avatar_definition])).
% 2.05/1.98  thf(f1631,definition,(
% 2.05/1.98    spl1_73 <=> ((event @ sK16 @ mactual) = $true)),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_73])],[avatar_definition])).
% 2.05/1.98  thf(f2461,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (city @ X0 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = (barrel @ sK16 @ X1 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (in @ sK16 @ X0 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_59 | ~spl1_61 | ~spl1_63 | ~spl1_65 | ~spl1_66 | ~spl1_67 | ~spl1_73)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2460])).
% 2.05/1.98  thf(f2460,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ X0 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (in @ sK16 @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = (dirty @ X1 @ mactual)) | ($false = (city @ X0 @ mactual)) | ($false = (barrel @ sK16 @ X1 @ mactual)) | ($false = $true)) ) | (~spl1_1 | ~spl1_59 | ~spl1_61 | ~spl1_63 | ~spl1_65 | ~spl1_66 | ~spl1_67 | ~spl1_73)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2459,f1598])).
% 2.05/1.98  thf(f1598,plain,(
% 2.05/1.98    ((way @ sK18 @ mactual) = $true) | ~spl1_66),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1596])).
% 2.05/1.98  thf(f2459,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (way @ sK18 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (in @ sK16 @ X0 @ mactual)) | ($false = (barrel @ sK16 @ X1 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = (city @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_59 | ~spl1_61 | ~spl1_63 | ~spl1_65 | ~spl1_67 | ~spl1_73)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2458])).
% 2.05/1.98  thf(f2458,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (way @ sK18 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = $true) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (in @ sK16 @ X0 @ mactual)) | ($false = (barrel @ sK16 @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (city @ X0 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_59 | ~spl1_61 | ~spl1_63 | ~spl1_65 | ~spl1_67 | ~spl1_73)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2457,f1593])).
% 2.05/1.98  thf(f1593,plain,(
% 2.05/1.98    ((lonely @ sK18 @ mactual) = $true) | ~spl1_65),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1591])).
% 2.05/1.98  thf(f2457,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (dirty @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (city @ X0 @ mactual)) | ($false = (in @ sK16 @ X0 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = (lonely @ sK18 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (way @ sK18 @ mactual)) | ($false = (barrel @ sK16 @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (car @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_59 | ~spl1_61 | ~spl1_63 | ~spl1_67 | ~spl1_73)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2456])).
% 2.05/1.98  thf(f2456,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (((hollywood @ X0 @ mactual) = $false) | ($false = (chevy @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = $true) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (barrel @ sK16 @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (lonely @ sK18 @ mactual)) | ($false = (city @ X0 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (way @ sK18 @ mactual)) | ($false = (in @ sK16 @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_59 | ~spl1_61 | ~spl1_63 | ~spl1_67 | ~spl1_73)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2455,f1603])).
% 2.05/1.98  thf(f1603,plain,(
% 2.05/1.98    ((street @ sK18 @ mactual) = $true) | ~spl1_67),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1601])).
% 2.05/1.98  thf(f2455,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (((hollywood @ X0 @ mactual) = $false) | ($false = (barrel @ sK16 @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (in @ sK16 @ X0 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (street @ sK18 @ mactual)) | ($false = (city @ X0 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (lonely @ sK18 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (way @ sK18 @ mactual))) ) | (~spl1_1 | ~spl1_59 | ~spl1_61 | ~spl1_63 | ~spl1_73)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2454])).
% 2.05/1.98  thf(f2454,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (((hollywood @ X0 @ mactual) = $false) | ($false = (barrel @ sK16 @ X1 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = $true) | ($false = (old @ X1 @ mactual)) | ($false = (in @ sK16 @ X0 @ mactual)) | ($false = (city @ X0 @ mactual)) | ($false = (street @ sK18 @ mactual)) | ($false = (way @ sK18 @ mactual)) | ($false = (lonely @ sK18 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_59 | ~spl1_61 | ~spl1_63 | ~spl1_73)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2453,f1633])).
% 2.05/1.98  thf(f1633,plain,(
% 2.05/1.98    ((event @ sK16 @ mactual) = $true) | ~spl1_73),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1631])).
% 2.05/1.98  thf(f2453,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (street @ sK18 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (event @ sK16 @ mactual)) | ($false = (way @ sK18 @ mactual)) | ($false = (in @ sK16 @ X0 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (city @ X0 @ mactual)) | ($false = (lonely @ sK18 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (barrel @ sK16 @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_59 | ~spl1_61 | ~spl1_63)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2452])).
% 2.05/1.98  thf(f2452,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (event @ sK16 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (in @ sK16 @ X0 @ mactual)) | ($false = $true) | ($false = (city @ X0 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (lonely @ sK18 @ mactual)) | ($false = (barrel @ sK16 @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (street @ sK18 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = (dirty @ X1 @ mactual)) | ($false = (way @ sK18 @ mactual))) ) | (~spl1_1 | ~spl1_59 | ~spl1_61 | ~spl1_63)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2451,f1573])).
% 2.05/1.98  thf(f1573,plain,(
% 2.05/1.98    ((eiw_di @ sK18 @ mactual) = $true) | ~spl1_61),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1571])).
% 2.05/1.98  thf(f2451,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (chevy @ X1 @ mactual)) | ($false = (in @ sK16 @ X0 @ mactual)) | ((eiw_di @ sK18 @ mactual) = $false) | ($false = (city @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (lonely @ sK18 @ mactual)) | ($false = (barrel @ sK16 @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = (white @ X1 @ mactual)) | ($false = (street @ sK18 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (way @ sK18 @ mactual)) | ($false = (event @ sK16 @ mactual))) ) | (~spl1_1 | ~spl1_59 | ~spl1_63)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2450])).
% 2.05/1.98  thf(f2450,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = $true) | ((hollywood @ X0 @ mactual) = $false) | ($false = (barrel @ sK16 @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (street @ sK18 @ mactual)) | ($false = (way @ sK18 @ mactual)) | ($false = (car @ X1 @ mactual)) | ((eiw_di @ sK18 @ mactual) = $false) | ($false = (event @ sK16 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (in @ sK16 @ X0 @ mactual)) | ($false = (city @ X0 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (lonely @ sK18 @ mactual))) ) | (~spl1_1 | ~spl1_59 | ~spl1_63)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2432,f1563])).
% 2.05/1.98  thf(f1563,plain,(
% 2.05/1.98    ((eiw_di @ sK16 @ mactual) = $true) | ~spl1_59),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1561])).
% 2.05/1.98  thf(f2432,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (city @ X0 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (eiw_di @ sK16 @ mactual)) | ($false = (event @ sK16 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (way @ sK18 @ mactual)) | ($false = (barrel @ sK16 @ X1 @ mactual)) | ($false = (in @ sK16 @ X0 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (lonely @ sK18 @ mactual)) | ((eiw_di @ sK18 @ mactual) = $false) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (street @ sK18 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = (eiw_di @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_63)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2430])).
% 2.05/1.98  thf(f2430,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (old @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (barrel @ sK16 @ X1 @ mactual)) | ((eiw_di @ sK18 @ mactual) = $false) | ($false = (eiw_di @ sK16 @ mactual)) | ($false = (city @ X0 @ mactual)) | ($false = $true) | ((hollywood @ X0 @ mactual) = $false) | ($false = (car @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (lonely @ sK18 @ mactual)) | ($false = (in @ sK16 @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (way @ sK18 @ mactual)) | ($false = (street @ sK18 @ mactual)) | ($false = (event @ sK16 @ mactual))) ) | (~spl1_1 | ~spl1_63)),
% 2.05/1.98    inference(superposition,[status(thm)],[f1583,f1275])).
% 2.05/1.98  thf(f1583,plain,(
% 2.05/1.98    ((down @ sK16 @ sK18 @ mactual) = $true) | ~spl1_63),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1581])).
% 2.05/1.98  thf(f2334,plain,(
% 2.05/1.98    spl1_144 | spl1_143 | ~spl1_1 | ~spl1_40 | ~spl1_42 | ~spl1_44 | ~spl1_46 | ~spl1_47 | ~spl1_48 | ~spl1_54),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f2333,f1537,f1507,f1502,f1497,f1487,f1477,f1467,f1274,f2278,f2319])).
% 2.05/1.98  thf(f1467,definition,(
% 2.05/1.98    spl1_40 <=> ($true = (eiw_di @ sK20 @ mactual))),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_40])],[avatar_definition])).
% 2.05/1.98  thf(f1477,definition,(
% 2.05/1.98    spl1_42 <=> ($true = (eiw_di @ sK22 @ mactual))),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_42])],[avatar_definition])).
% 2.05/1.98  thf(f1487,definition,(
% 2.05/1.98    spl1_44 <=> ((down @ sK20 @ sK22 @ mactual) = $true)),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_44])],[avatar_definition])).
% 2.05/1.98  thf(f1497,definition,(
% 2.05/1.98    spl1_46 <=> ((lonely @ sK22 @ mactual) = $true)),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_46])],[avatar_definition])).
% 2.05/1.98  thf(f1502,definition,(
% 2.05/1.98    spl1_47 <=> ((way @ sK22 @ mactual) = $true)),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_47])],[avatar_definition])).
% 2.05/1.98  thf(f1507,definition,(
% 2.05/1.98    spl1_48 <=> ((street @ sK22 @ mactual) = $true)),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_48])],[avatar_definition])).
% 2.05/1.98  thf(f1537,definition,(
% 2.05/1.98    spl1_54 <=> ((event @ sK20 @ mactual) = $true)),
% 2.05/1.98    introduced(definition,[new_symbols(naming,[spl1_54])],[avatar_definition])).
% 2.05/1.98  thf(f2333,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (dirty @ X1 @ mactual)) | ($false = (barrel @ sK20 @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (city @ X0 @ mactual)) | ($false = (old @ X1 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = (in @ sK20 @ X0 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (white @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_40 | ~spl1_42 | ~spl1_44 | ~spl1_46 | ~spl1_47 | ~spl1_48 | ~spl1_54)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2332])).
% 2.05/1.98  thf(f2332,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = $true) | ($false = (dirty @ X1 @ mactual)) | ($false = (in @ sK20 @ X0 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = (city @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (barrel @ sK20 @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (car @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_40 | ~spl1_42 | ~spl1_44 | ~spl1_46 | ~spl1_47 | ~spl1_48 | ~spl1_54)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2331,f1504])).
% 2.05/1.98  thf(f1504,plain,(
% 2.05/1.98    ((way @ sK22 @ mactual) = $true) | ~spl1_47),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1502])).
% 2.05/1.98  thf(f2331,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (chevy @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = (barrel @ sK20 @ X1 @ mactual)) | ($false = (in @ sK20 @ X0 @ mactual)) | ($false = (city @ X0 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (way @ sK22 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_40 | ~spl1_42 | ~spl1_44 | ~spl1_46 | ~spl1_48 | ~spl1_54)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2330])).
% 2.05/1.98  thf(f2330,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = $true) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (in @ sK20 @ X0 @ mactual)) | ($false = (city @ X0 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (barrel @ sK20 @ X1 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (way @ sK22 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_40 | ~spl1_42 | ~spl1_44 | ~spl1_46 | ~spl1_48 | ~spl1_54)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2329,f1499])).
% 2.05/1.98  thf(f1499,plain,(
% 2.05/1.98    ((lonely @ sK22 @ mactual) = $true) | ~spl1_46),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1497])).
% 2.05/1.98  thf(f2329,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (((lonely @ sK22 @ mactual) = $false) | ($false = (car @ X1 @ mactual)) | ($false = (in @ sK20 @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (way @ sK22 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (barrel @ sK20 @ X1 @ mactual)) | ($false = (city @ X0 @ mactual)) | ($false = (old @ X1 @ mactual)) | ((hollywood @ X0 @ mactual) = $false)) ) | (~spl1_1 | ~spl1_40 | ~spl1_42 | ~spl1_44 | ~spl1_48 | ~spl1_54)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2328])).
% 2.05/1.98  thf(f2328,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = $true) | ((lonely @ sK22 @ mactual) = $false) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (car @ X1 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = (chevy @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (barrel @ sK20 @ X1 @ mactual)) | ($false = (city @ X0 @ mactual)) | ($false = (way @ sK22 @ mactual)) | ($false = (in @ sK20 @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_40 | ~spl1_42 | ~spl1_44 | ~spl1_48 | ~spl1_54)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2327,f1469])).
% 2.05/1.98  thf(f1469,plain,(
% 2.05/1.98    ($true = (eiw_di @ sK20 @ mactual)) | ~spl1_40),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1467])).
% 2.05/1.98  thf(f2327,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (in @ sK20 @ X0 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = (old @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (barrel @ sK20 @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (way @ sK22 @ mactual)) | ($false = (city @ X0 @ mactual)) | ((lonely @ sK22 @ mactual) = $false) | ($false = (eiw_di @ sK20 @ mactual))) ) | (~spl1_1 | ~spl1_42 | ~spl1_44 | ~spl1_48 | ~spl1_54)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2326])).
% 2.05/1.98  thf(f2326,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (white @ X1 @ mactual)) | ($false = (city @ X0 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = $true) | ($false = (eiw_di @ X1 @ mactual)) | ((lonely @ sK22 @ mactual) = $false) | ($false = (car @ X1 @ mactual)) | ($false = (eiw_di @ sK20 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = (barrel @ sK20 @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (in @ sK20 @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (way @ sK22 @ mactual))) ) | (~spl1_1 | ~spl1_42 | ~spl1_44 | ~spl1_48 | ~spl1_54)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2325,f1509])).
% 2.05/1.98  thf(f1509,plain,(
% 2.05/1.98    ((street @ sK22 @ mactual) = $true) | ~spl1_48),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1507])).
% 2.05/1.98  thf(f2325,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (chevy @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (street @ sK22 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = (car @ X1 @ mactual)) | ((lonely @ sK22 @ mactual) = $false) | ($false = (old @ X1 @ mactual)) | ($false = (barrel @ sK20 @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (way @ sK22 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ sK20 @ mactual)) | ($false = (city @ X0 @ mactual)) | ($false = (in @ sK20 @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_42 | ~spl1_44 | ~spl1_54)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2324])).
% 2.05/1.98  thf(f2324,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (car @ X1 @ mactual)) | ($false = $true) | ((lonely @ sK22 @ mactual) = $false) | ($false = (way @ sK22 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (barrel @ sK20 @ X1 @ mactual)) | ($false = (street @ sK22 @ mactual)) | ($false = (in @ sK20 @ X0 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (eiw_di @ sK20 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = (city @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_42 | ~spl1_44 | ~spl1_54)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2323,f1539])).
% 2.05/1.98  thf(f1539,plain,(
% 2.05/1.98    ((event @ sK20 @ mactual) = $true) | ~spl1_54),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1537])).
% 2.05/1.98  thf(f2323,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (in @ sK20 @ X0 @ mactual)) | ((event @ sK20 @ mactual) = $false) | ($false = (car @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ((lonely @ sK22 @ mactual) = $false) | ($false = (chevy @ X1 @ mactual)) | ($false = (eiw_di @ sK20 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (way @ sK22 @ mactual)) | ($false = (city @ X0 @ mactual)) | ($false = (barrel @ sK20 @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (street @ sK22 @ mactual))) ) | (~spl1_1 | ~spl1_42 | ~spl1_44)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2322])).
% 2.05/1.98  thf(f2322,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (in @ sK20 @ X0 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (barrel @ sK20 @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (way @ sK22 @ mactual)) | ($false = (city @ X0 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (eiw_di @ sK20 @ mactual)) | ((lonely @ sK22 @ mactual) = $false) | ($false = $true) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (old @ X1 @ mactual)) | ((event @ sK20 @ mactual) = $false) | ($false = (white @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (street @ sK22 @ mactual))) ) | (~spl1_1 | ~spl1_42 | ~spl1_44)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2304,f1479])).
% 2.05/1.98  thf(f1479,plain,(
% 2.05/1.98    ($true = (eiw_di @ sK22 @ mactual)) | ~spl1_42),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1477])).
% 2.05/1.98  thf(f2304,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ sK22 @ mactual)) | ($false = (street @ sK22 @ mactual)) | ($false = (eiw_di @ sK20 @ mactual)) | ($false = (in @ sK20 @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (city @ X0 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (barrel @ sK20 @ X1 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ((event @ sK20 @ mactual) = $false) | ((lonely @ sK22 @ mactual) = $false) | ($false = (way @ sK22 @ mactual))) ) | (~spl1_1 | ~spl1_44)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2303])).
% 2.05/1.98  thf(f2303,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (((hollywood @ X0 @ mactual) = $false) | ($false = (way @ sK22 @ mactual)) | ((lonely @ sK22 @ mactual) = $false) | ($false = $true) | ($false = (eiw_di @ X0 @ mactual)) | ((event @ sK20 @ mactual) = $false) | ($false = (white @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (city @ X0 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (street @ sK22 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (eiw_di @ sK22 @ mactual)) | ($false = (barrel @ sK20 @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (in @ sK20 @ X0 @ mactual)) | ($false = (eiw_di @ sK20 @ mactual))) ) | (~spl1_1 | ~spl1_44)),
% 2.05/1.98    inference(superposition,[status(thm)],[f1275,f1489])).
% 2.05/1.98  thf(f1489,plain,(
% 2.05/1.98    ((down @ sK20 @ sK22 @ mactual) = $true) | ~spl1_44),
% 2.05/1.98    inference(avatar_component_clause,[status(thm)],[f1487])).
% 2.05/1.98  thf(f2222,plain,(
% 2.05/1.98    spl1_137 | spl1_139 | spl1_138 | ~spl1_1 | ~spl1_58 | ~spl1_79 | ~spl1_90 | ~spl1_91 | ~spl1_92),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f2207,f1725,f1720,f1715,f1660,f1556,f1274,f2197,f2218,f2194])).
% 2.05/1.98  thf(f2207,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ sK2 @ mactual)) | ($false = (barrel @ sK3 @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_58 | ~spl1_79 | ~spl1_90 | ~spl1_91 | ~spl1_92)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2206])).
% 2.05/1.98  thf(f2206,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (barrel @ sK3 @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = $true) | ($false = (white @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (eiw_di @ sK2 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_58 | ~spl1_79 | ~spl1_90 | ~spl1_91 | ~spl1_92)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2205,f1722])).
% 2.05/1.98  thf(f2205,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (car @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (barrel @ sK3 @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (city @ sK2 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (eiw_di @ sK2 @ mactual)) | ($false = (street @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_58 | ~spl1_79 | ~spl1_90 | ~spl1_92)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2204])).
% 2.05/1.98  thf(f2204,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (old @ X1 @ mactual)) | ($false = (barrel @ sK3 @ X1 @ mactual)) | ($false = (eiw_di @ sK2 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (city @ sK2 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = $true) | ($false = (way @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_58 | ~spl1_79 | ~spl1_90 | ~spl1_92)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2203,f1727])).
% 2.05/1.98  thf(f2203,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (lonely @ X0 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (hollywood @ sK2 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (eiw_di @ sK2 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (city @ sK2 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (barrel @ sK3 @ X1 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_58 | ~spl1_79 | ~spl1_90)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2202])).
% 2.05/1.98  thf(f2202,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = $true) | ($false = (eiw_di @ sK2 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (city @ sK2 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (barrel @ sK3 @ X1 @ mactual)) | ($false = (hollywood @ sK2 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_58 | ~spl1_79 | ~spl1_90)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2201,f1717])).
% 2.05/1.98  thf(f2201,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (way @ X0 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (event @ sK3 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (barrel @ sK3 @ X1 @ mactual)) | ($false = (hollywood @ sK2 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (eiw_di @ sK2 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (city @ sK2 @ mactual)) | ($false = (eiw_di @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_58 | ~spl1_79)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2200])).
% 2.05/1.98  thf(f2200,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (chevy @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (eiw_di @ sK2 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (barrel @ sK3 @ X1 @ mactual)) | ($false = (event @ sK3 @ mactual)) | ($false = (hollywood @ sK2 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = $true) | ($false = (city @ sK2 @ mactual)) | ($false = (old @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_58 | ~spl1_79)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2181,f1558])).
% 2.05/1.98  thf(f2181,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (dirty @ X1 @ mactual)) | ($false = (hollywood @ sK2 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (city @ sK2 @ mactual)) | ($false = (eiw_di @ sK3 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (event @ sK3 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (eiw_di @ sK2 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (barrel @ sK3 @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_79)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2180])).
% 2.05/1.98  thf(f2180,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (dirty @ X1 @ mactual)) | ($false = (eiw_di @ sK2 @ mactual)) | ($false = (hollywood @ sK2 @ mactual)) | ($false = (city @ sK2 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (eiw_di @ sK3 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (barrel @ sK3 @ X1 @ mactual)) | ($false = (event @ sK3 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = $true) | ($false = (car @ X1 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (lonely @ X0 @ mactual)) | ($false = (old @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_79)),
% 2.05/1.98    inference(superposition,[status(thm)],[f1275,f1662])).
% 2.05/1.98  thf(f2210,plain,(
% 2.05/1.98    spl1_137 | spl1_138 | ~spl1_1 | ~spl1_39 | ~spl1_58 | ~spl1_79 | ~spl1_90 | ~spl1_91 | ~spl1_92),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f2209,f1725,f1720,f1715,f1660,f1556,f1462,f1274,f2197,f2194])).
% 2.05/1.98  thf(f2209,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ X0 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (barrel @ sK3 @ X1 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (lonely @ X0 @ mactual))) ) | (~spl1_1 | ~spl1_39 | ~spl1_58 | ~spl1_79 | ~spl1_90 | ~spl1_91 | ~spl1_92)),
% 2.05/1.98    inference(trivial_inequality_removal,[status(thm)],[f2208])).
% 2.05/1.98  thf(f2208,plain,(
% 2.05/1.98    ( ! [X0 : $i,X1 : $i] : (($false = (lonely @ X0 @ mactual)) | ($false = (street @ X0 @ mactual)) | ($false = (car @ X1 @ mactual)) | ($false = (way @ X0 @ mactual)) | ($false = (white @ X1 @ mactual)) | ($false = (eiw_di @ X0 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ($false = (down @ sK3 @ X0 @ mactual)) | ($false = (old @ X1 @ mactual)) | ($false = $true) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (chevy @ X1 @ mactual)) | ($false = (barrel @ sK3 @ X1 @ mactual))) ) | (~spl1_1 | ~spl1_39 | ~spl1_58 | ~spl1_79 | ~spl1_90 | ~spl1_91 | ~spl1_92)),
% 2.05/1.98    inference(forward_demodulation,[status(thm)],[f2207,f1464])).
% 2.05/1.98  thf(f2176,plain,(
% 2.05/1.98    spl1_109 | spl1_92),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f106,f1725,f1810])).
% 2.05/1.98  thf(f106,plain,(
% 2.05/1.98    ((hollywood @ sK2 @ mactual) = $true) | ($true = (hollywood @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f104])).
% 2.05/1.98  thf(f104,plain,(
% 2.05/1.98    ((hollywood @ sK2 @ mactual) = $true) | (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f102])).
% 2.05/1.98  thf(f102,plain,(
% 2.05/1.98    ($true = ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))))))))))) | (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f100])).
% 2.05/1.98  thf(f100,plain,(
% 2.05/1.98    ((((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))) & (eiw_di @ sK9 @ mactual)) = $true) | ($true = ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))))),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f99])).
% 2.05/1.98  thf(f99,plain,(
% 2.05/1.98    (((^[Y0 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ Y0 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual))) @ sK9) = $true) | ($true = ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))))),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f98])).
% 2.05/1.98  thf(f98,plain,(
% 2.05/1.98    ($true = (?? @ $i @ (^[Y0 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ Y0 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual))))) | ($true = ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f96])).
% 2.05/1.98  thf(f96,plain,(
% 2.05/1.98    ((((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ sK6 @ mactual)) = $true) | ($true = (?? @ $i @ (^[Y0 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ Y0 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual)))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f94])).
% 2.05/1.98  thf(f94,plain,(
% 2.05/1.98    (((?? @ $i @ (^[Y0 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ Y0 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK8 @ mactual)) = $true) | ((((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ sK6 @ mactual)) = $true)),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f93])).
% 2.05/1.98  thf(f93,plain,(
% 2.05/1.98    (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK7 @ Y0 @ mactual) & ((down @ sK7 @ Y1 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK8) = $true) | ((((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ sK6 @ mactual)) = $true)),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f92])).
% 2.05/1.98  thf(f92,plain,(
% 2.05/1.98    ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK7 @ Y0 @ mactual) & ((down @ sK7 @ Y1 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true) | ((((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ sK6 @ mactual)) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f90])).
% 2.05/1.98  thf(f90,plain,(
% 2.05/1.98    (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK7 @ Y0 @ mactual) & ((down @ sK7 @ Y1 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK7 @ mactual)) = $true) | ((((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ sK6 @ mactual)) = $true)),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f89])).
% 2.05/1.98  thf(f89,plain,(
% 2.05/1.98    ((((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ sK6 @ mactual)) = $true) | ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK7))),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f88])).
% 2.05/1.98  thf(f88,plain,(
% 2.05/1.98    ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true) | ((((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ sK6 @ mactual)) = $true)),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f87])).
% 2.05/1.98  thf(f87,plain,(
% 2.05/1.98    (((^[Y0 : $i]: (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK3 @ Y0 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual))) @ sK6) = $true) | ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true)),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f86])).
% 2.05/1.98  thf(f86,plain,(
% 2.05/1.98    ($true = (?? @ $i @ (^[Y0 : $i]: (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK3 @ Y0 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual))))) | ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f84])).
% 2.05/1.98  thf(f84,plain,(
% 2.05/1.98    (((?? @ $i @ (^[Y0 : $i]: (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK3 @ Y0 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK4 @ mactual)) = $true) | ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f82])).
% 2.05/1.98  thf(f82,plain,(
% 2.05/1.98    ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK5 @ mactual))) | (((?? @ $i @ (^[Y0 : $i]: (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK3 @ Y0 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK4 @ mactual)) = $true)),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f81])).
% 2.05/1.98  thf(f81,plain,(
% 2.05/1.98    (((?? @ $i @ (^[Y0 : $i]: (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK3 @ Y0 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK4 @ mactual)) = $true) | (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK5) = $true)),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f80])).
% 2.05/1.98  thf(f80,plain,(
% 2.05/1.98    ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true) | (((?? @ $i @ (^[Y0 : $i]: (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK3 @ Y0 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK4 @ mactual)) = $true)),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f79])).
% 2.05/1.98  thf(f79,plain,(
% 2.05/1.98    (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((barrel @ sK3 @ Y1 @ mactual) & ((down @ sK3 @ Y0 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK4) = $true) | ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true)),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f78])).
% 2.05/1.98  thf(f78,plain,(
% 2.05/1.98    ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((barrel @ sK3 @ Y1 @ mactual) & ((down @ sK3 @ Y0 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f76])).
% 2.05/1.98  thf(f76,plain,(
% 2.05/1.98    (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((barrel @ sK3 @ Y1 @ mactual) & ((down @ sK3 @ Y0 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK3 @ mactual)) = $true) | ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true)),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f75])).
% 2.05/1.98  thf(f75,plain,(
% 2.05/1.98    (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((barrel @ Y0 @ Y2 @ mactual) & ((down @ Y0 @ Y1 @ mactual) & (in @ Y0 @ sK2 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK3) = $true) | ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true)),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f74])).
% 2.05/1.98  thf(f74,plain,(
% 2.05/1.98    ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((barrel @ Y0 @ Y2 @ mactual) & ((down @ Y0 @ Y1 @ mactual) & (in @ Y0 @ sK2 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true) | ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f72])).
% 2.05/1.98  thf(f72,plain,(
% 2.05/1.98    (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((barrel @ Y0 @ Y2 @ mactual) & ((down @ Y0 @ Y1 @ mactual) & (in @ Y0 @ sK2 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK2 @ mactual)) = $true) | ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true)),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f71])).
% 2.05/1.98  thf(f71,plain,(
% 2.05/1.98    (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((barrel @ Y1 @ Y3 @ mactual) & ((down @ Y1 @ Y2 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK2) = $true) | ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true)),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f70])).
% 2.05/1.98  thf(f70,plain,(
% 2.05/1.98    ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((barrel @ Y1 @ Y3 @ mactual) & ((down @ Y1 @ Y2 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f68])).
% 2.05/1.98  thf(f68,plain,(
% 2.05/1.98    ($false = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((barrel @ Y1 @ Y3 @ mactual) & ((down @ Y1 @ Y2 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) => (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))))) | ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f66])).
% 2.05/1.98  thf(f66,plain,(
% 2.05/1.98    ($false = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) => (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((barrel @ Y1 @ Y3 @ mactual) & ((down @ Y1 @ Y2 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))))) | ($false = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((barrel @ Y1 @ Y3 @ mactual) & ((down @ Y1 @ Y2 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) => (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f65])).
% 2.05/1.98  thf(f65,plain,(
% 2.05/1.98    ((((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((barrel @ Y1 @ Y3 @ mactual) & ((down @ Y1 @ Y2 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) => (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) & ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) => (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((barrel @ Y1 @ Y3 @ mactual) & ((down @ Y1 @ Y2 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))))) != $true)),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f64])).
% 2.05/1.98  thf(f64,plain,(
% 2.05/1.98    (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) & (eiw_di @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (?? @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) & (eiw_di @ Y4 @ Y3))))))) @ (^[Y2 : $i]: ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) & (eiw_di @ Y5 @ Y4))))))) @ (^[Y3 : $i]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (hollywood @ Y0) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (city @ Y0) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (event @ Y1) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (street @ Y2) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (way @ Y2) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (lonely @ Y2) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (chevy @ Y3) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (car @ Y3) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (white @ Y3) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (dirty @ Y3) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (old @ Y3) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (barrel @ Y1 @ Y3) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (down @ Y1 @ Y2) @ (in @ Y1 @ Y0)))))))))))))))))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) & (eiw_di @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (?? @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) & (eiw_di @ Y4 @ Y3))))))) @ (^[Y2 : $i]: ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) & (eiw_di @ Y5 @ Y4))))))) @ (^[Y3 : $i]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (hollywood @ Y0) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (city @ Y0) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (event @ Y1) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (chevy @ Y2) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (car @ Y2) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (white @ Y2) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (dirty @ Y2) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (old @ Y2) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (street @ Y3) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (way @ Y3) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (lonely @ Y3) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (barrel @ Y1 @ Y2) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (down @ Y1 @ Y3) @ (in @ Y1 @ Y0))))))))))))))))))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) & (eiw_di @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (?? @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) & (eiw_di @ Y4 @ Y3))))))) @ (^[Y2 : $i]: ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) & (eiw_di @ Y5 @ Y4))))))) @ (^[Y3 : $i]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (hollywood @ Y0) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (city @ Y0) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (event @ Y1) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (chevy @ Y2) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (car @ Y2) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (white @ Y2) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (dirty @ Y2) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (old @ Y2) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (street @ Y3) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (way @ Y3) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (lonely @ Y3) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (barrel @ Y1 @ Y2) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (down @ Y1 @ Y3) @ (in @ Y1 @ Y0)))))))))))))))))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) & (eiw_di @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (?? @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) & (eiw_di @ Y4 @ Y3))))))) @ (^[Y2 : $i]: ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) & (eiw_di @ Y5 @ Y4))))))) @ (^[Y3 : $i]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (hollywood @ Y0) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (city @ Y0) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (event @ Y1) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (street @ Y2) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (way @ Y2) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (lonely @ Y2) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (chevy @ Y3) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (car @ Y3) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (white @ Y3) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (dirty @ Y3) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (old @ Y3) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (barrel @ Y1 @ Y3) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (down @ Y1 @ Y2) @ (in @ Y1 @ Y0))))))))))))))))))))))))) != $true)),
% 2.05/1.98    inference(definition_unfolding,[status(thm)],[f60,f58,f54,f61,f62,f62,f62,f62,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f62,f62,f62,f62,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f61,f62,f62,f62,f62,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f62,f62,f62,f62,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54,f54])).
% 2.05/1.98  thf(f62,plain,(
% 2.05/1.98    (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 2.05/1.98    inference(cnf_transformation,[status(thm)],[f30])).
% 2.05/1.98  thf(f30,plain,(
% 2.05/1.98    (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 2.05/1.98    inference(fool_elimination,[status(thm)],[f29])).
% 2.05/1.98  thf(f29,plain,(
% 2.05/1.98    (mexists_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2 : $i] : ((eiw_di @ X2 @ X1) & (X0 @ X2 @ X1)))))),
% 2.05/1.98    inference(rectify,[status(thm)],[f14])).
% 2.05/1.98  thf(f14,axiom,(
% 2.05/1.98    (mexists_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (? [X6 : $i] : ((eiw_di @ X6 @ X2) & (X1 @ X6 @ X2)))))),
% 2.05/1.98    file('/export/starexec/sandbox/tmp/tmp.twi9RYEzwQ/DTF2THF_1393.p',mexists_di_def)).
% 2.05/1.98  thf(f61,plain,(
% 2.05/1.98    (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 2.05/1.98    inference(cnf_transformation,[status(thm)],[f38])).
% 2.05/1.98  thf(f38,plain,(
% 2.05/1.98    (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 2.05/1.98    inference(fool_elimination,[status(thm)],[f37])).
% 2.05/1.98  thf(f37,plain,(
% 2.05/1.98    (mimplies = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
% 2.05/1.98    inference(rectify,[status(thm)],[f5])).
% 2.05/1.98  thf(f5,axiom,(
% 2.05/1.98    (mimplies = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))))),
% 2.05/1.98    file('/export/starexec/sandbox/tmp/tmp.twi9RYEzwQ/DTF2THF_1393.p',mimplies_def)).
% 2.05/1.98  thf(f54,plain,(
% 2.05/1.98    (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 2.05/1.98    inference(cnf_transformation,[status(thm)],[f19])).
% 2.05/1.98  thf(f19,plain,(
% 2.05/1.98    (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 2.05/1.98    inference(fool_elimination,[status(thm)],[f18])).
% 2.05/1.98  thf(f18,plain,(
% 2.05/1.98    ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X0 @ X2))) = mand)),
% 2.05/1.98    inference(rectify,[status(thm)],[f3])).
% 2.05/1.98  thf(f3,axiom,(
% 2.05/1.98    ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) & (X1 @ X2))) = mand)),
% 2.05/1.98    file('/export/starexec/sandbox/tmp/tmp.twi9RYEzwQ/DTF2THF_1393.p',mand_def)).
% 2.05/1.98  thf(f58,plain,(
% 2.05/1.98    (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 2.05/1.98    inference(cnf_transformation,[status(thm)],[f28])).
% 2.05/1.98  thf(f28,plain,(
% 2.05/1.98    (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 2.05/1.98    inference(fool_elimination,[status(thm)],[f1])).
% 2.05/1.98  thf(f1,axiom,(
% 2.05/1.98    ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 2.05/1.98    file('/export/starexec/sandbox/tmp/tmp.twi9RYEzwQ/DTF2THF_1393.p',mlocal_def)).
% 2.05/1.98  thf(f60,plain,(
% 2.05/1.98    ((mlocal @ (mand @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (hollywood @ Y0) @ (mand @ (city @ Y0) @ (mand @ (event @ Y1) @ (mand @ (street @ Y2) @ (mand @ (way @ Y2) @ (mand @ (lonely @ Y2) @ (mand @ (chevy @ Y3) @ (mand @ (car @ Y3) @ (mand @ (white @ Y3) @ (mand @ (dirty @ Y3) @ (mand @ (old @ Y3) @ (mand @ (barrel @ Y1 @ Y3) @ (mand @ (down @ Y1 @ Y2) @ (in @ Y1 @ Y0)))))))))))))))))))))) @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (hollywood @ Y0) @ (mand @ (city @ Y0) @ (mand @ (event @ Y1) @ (mand @ (chevy @ Y2) @ (mand @ (car @ Y2) @ (mand @ (white @ Y2) @ (mand @ (dirty @ Y2) @ (mand @ (old @ Y2) @ (mand @ (street @ Y3) @ (mand @ (way @ Y3) @ (mand @ (lonely @ Y3) @ (mand @ (barrel @ Y1 @ Y2) @ (mand @ (down @ Y1 @ Y3) @ (in @ Y1 @ Y0))))))))))))))))))))))) @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (hollywood @ Y0) @ (mand @ (city @ Y0) @ (mand @ (event @ Y1) @ (mand @ (chevy @ Y2) @ (mand @ (car @ Y2) @ (mand @ (white @ Y2) @ (mand @ (dirty @ Y2) @ (mand @ (old @ Y2) @ (mand @ (street @ Y3) @ (mand @ (way @ Y3) @ (mand @ (lonely @ Y3) @ (mand @ (barrel @ Y1 @ Y2) @ (mand @ (down @ Y1 @ Y3) @ (in @ Y1 @ Y0)))))))))))))))))))))) @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (hollywood @ Y0) @ (mand @ (city @ Y0) @ (mand @ (event @ Y1) @ (mand @ (street @ Y2) @ (mand @ (way @ Y2) @ (mand @ (lonely @ Y2) @ (mand @ (chevy @ Y3) @ (mand @ (car @ Y3) @ (mand @ (white @ Y3) @ (mand @ (dirty @ Y3) @ (mand @ (old @ Y3) @ (mand @ (barrel @ Y1 @ Y3) @ (mand @ (down @ Y1 @ Y2) @ (in @ Y1 @ Y0))))))))))))))))))))))))) != $true)),
% 2.05/1.98    inference(cnf_transformation,[status(thm)],[f47])).
% 2.05/1.98  thf(f47,plain,(
% 2.05/1.98    ((mlocal @ (mand @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (hollywood @ Y0) @ (mand @ (city @ Y0) @ (mand @ (event @ Y1) @ (mand @ (street @ Y2) @ (mand @ (way @ Y2) @ (mand @ (lonely @ Y2) @ (mand @ (chevy @ Y3) @ (mand @ (car @ Y3) @ (mand @ (white @ Y3) @ (mand @ (dirty @ Y3) @ (mand @ (old @ Y3) @ (mand @ (barrel @ Y1 @ Y3) @ (mand @ (down @ Y1 @ Y2) @ (in @ Y1 @ Y0)))))))))))))))))))))) @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (hollywood @ Y0) @ (mand @ (city @ Y0) @ (mand @ (event @ Y1) @ (mand @ (chevy @ Y2) @ (mand @ (car @ Y2) @ (mand @ (white @ Y2) @ (mand @ (dirty @ Y2) @ (mand @ (old @ Y2) @ (mand @ (street @ Y3) @ (mand @ (way @ Y3) @ (mand @ (lonely @ Y3) @ (mand @ (barrel @ Y1 @ Y2) @ (mand @ (down @ Y1 @ Y3) @ (in @ Y1 @ Y0))))))))))))))))))))))) @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (hollywood @ Y0) @ (mand @ (city @ Y0) @ (mand @ (event @ Y1) @ (mand @ (chevy @ Y2) @ (mand @ (car @ Y2) @ (mand @ (white @ Y2) @ (mand @ (dirty @ Y2) @ (mand @ (old @ Y2) @ (mand @ (street @ Y3) @ (mand @ (way @ Y3) @ (mand @ (lonely @ Y3) @ (mand @ (barrel @ Y1 @ Y2) @ (mand @ (down @ Y1 @ Y3) @ (in @ Y1 @ Y0)))))))))))))))))))))) @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (hollywood @ Y0) @ (mand @ (city @ Y0) @ (mand @ (event @ Y1) @ (mand @ (street @ Y2) @ (mand @ (way @ Y2) @ (mand @ (lonely @ Y2) @ (mand @ (chevy @ Y3) @ (mand @ (car @ Y3) @ (mand @ (white @ Y3) @ (mand @ (dirty @ Y3) @ (mand @ (old @ Y3) @ (mand @ (barrel @ Y1 @ Y3) @ (mand @ (down @ Y1 @ Y2) @ (in @ Y1 @ Y0))))))))))))))))))))))))) != $true)),
% 2.05/1.98    inference(flattening,[status(thm)],[f44])).
% 2.05/1.98  thf(f44,plain,(
% 2.05/1.98    ~((mlocal @ (mand @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (hollywood @ Y0) @ (mand @ (city @ Y0) @ (mand @ (event @ Y1) @ (mand @ (street @ Y2) @ (mand @ (way @ Y2) @ (mand @ (lonely @ Y2) @ (mand @ (chevy @ Y3) @ (mand @ (car @ Y3) @ (mand @ (white @ Y3) @ (mand @ (dirty @ Y3) @ (mand @ (old @ Y3) @ (mand @ (barrel @ Y1 @ Y3) @ (mand @ (down @ Y1 @ Y2) @ (in @ Y1 @ Y0)))))))))))))))))))))) @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (hollywood @ Y0) @ (mand @ (city @ Y0) @ (mand @ (event @ Y1) @ (mand @ (chevy @ Y2) @ (mand @ (car @ Y2) @ (mand @ (white @ Y2) @ (mand @ (dirty @ Y2) @ (mand @ (old @ Y2) @ (mand @ (street @ Y3) @ (mand @ (way @ Y3) @ (mand @ (lonely @ Y3) @ (mand @ (barrel @ Y1 @ Y2) @ (mand @ (down @ Y1 @ Y3) @ (in @ Y1 @ Y0))))))))))))))))))))))) @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (hollywood @ Y0) @ (mand @ (city @ Y0) @ (mand @ (event @ Y1) @ (mand @ (chevy @ Y2) @ (mand @ (car @ Y2) @ (mand @ (white @ Y2) @ (mand @ (dirty @ Y2) @ (mand @ (old @ Y2) @ (mand @ (street @ Y3) @ (mand @ (way @ Y3) @ (mand @ (lonely @ Y3) @ (mand @ (barrel @ Y1 @ Y2) @ (mand @ (down @ Y1 @ Y3) @ (in @ Y1 @ Y0)))))))))))))))))))))) @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (hollywood @ Y0) @ (mand @ (city @ Y0) @ (mand @ (event @ Y1) @ (mand @ (street @ Y2) @ (mand @ (way @ Y2) @ (mand @ (lonely @ Y2) @ (mand @ (chevy @ Y3) @ (mand @ (car @ Y3) @ (mand @ (white @ Y3) @ (mand @ (dirty @ Y3) @ (mand @ (old @ Y3) @ (mand @ (barrel @ Y1 @ Y3) @ (mand @ (down @ Y1 @ Y2) @ (in @ Y1 @ Y0))))))))))))))))))))))))) = $true)),
% 2.05/1.98    inference(fool_elimination,[status(thm)],[f43])).
% 2.05/1.98  thf(f43,plain,(
% 2.05/1.98    ~(mlocal @ (mand @ (mimplies @ (mexists_di @ (^[X0 : $i] : (mexists_di @ (^[X1 : $i] : (mexists_di @ (^[X2 : $i] : (mexists_di @ (^[X3 : $i] : (mand @ (hollywood @ X0) @ (mand @ (city @ X0) @ (mand @ (event @ X1) @ (mand @ (street @ X2) @ (mand @ (way @ X2) @ (mand @ (lonely @ X2) @ (mand @ (chevy @ X3) @ (mand @ (car @ X3) @ (mand @ (white @ X3) @ (mand @ (dirty @ X3) @ (mand @ (old @ X3) @ (mand @ (barrel @ X1 @ X3) @ (mand @ (down @ X1 @ X2) @ (in @ X1 @ X0)))))))))))))))))))))) @ (mexists_di @ (^[X4 : $i] : (mexists_di @ (^[X5 : $i] : (mexists_di @ (^[X6 : $i] : (mexists_di @ (^[X7 : $i] : (mand @ (hollywood @ X4) @ (mand @ (city @ X4) @ (mand @ (event @ X5) @ (mand @ (chevy @ X6) @ (mand @ (car @ X6) @ (mand @ (white @ X6) @ (mand @ (dirty @ X6) @ (mand @ (old @ X6) @ (mand @ (street @ X7) @ (mand @ (way @ X7) @ (mand @ (lonely @ X7) @ (mand @ (barrel @ X5 @ X6) @ (mand @ (down @ X5 @ X7) @ (in @ X5 @ X4))))))))))))))))))))))) @ (mimplies @ (mexists_di @ (^[X8 : $i] : (mexists_di @ (^[X9 : $i] : (mexists_di @ (^[X10 : $i] : (mexists_di @ (^[X11 : $i] : (mand @ (hollywood @ X8) @ (mand @ (city @ X8) @ (mand @ (event @ X9) @ (mand @ (chevy @ X10) @ (mand @ (car @ X10) @ (mand @ (white @ X10) @ (mand @ (dirty @ X10) @ (mand @ (old @ X10) @ (mand @ (street @ X11) @ (mand @ (way @ X11) @ (mand @ (lonely @ X11) @ (mand @ (barrel @ X9 @ X10) @ (mand @ (down @ X9 @ X11) @ (in @ X9 @ X8)))))))))))))))))))))) @ (mexists_di @ (^[X12 : $i] : (mexists_di @ (^[X13 : $i] : (mexists_di @ (^[X14 : $i] : (mexists_di @ (^[X15 : $i] : (mand @ (hollywood @ X12) @ (mand @ (city @ X12) @ (mand @ (event @ X13) @ (mand @ (street @ X14) @ (mand @ (way @ X14) @ (mand @ (lonely @ X14) @ (mand @ (chevy @ X15) @ (mand @ (car @ X15) @ (mand @ (white @ X15) @ (mand @ (dirty @ X15) @ (mand @ (old @ X15) @ (mand @ (barrel @ X13 @ X15) @ (mand @ (down @ X13 @ X14) @ (in @ X13 @ X12)))))))))))))))))))))))))),
% 2.05/1.98    inference(rectify,[status(thm)],[f16])).
% 2.05/1.98  thf(f16,negated_conjecture,(
% 2.05/1.98    ~(mlocal @ (mand @ (mimplies @ (mexists_di @ (^[X5 : $i] : (mexists_di @ (^[X4 : $i] : (mexists_di @ (^[X2 : $i] : (mexists_di @ (^[X6 : $i] : (mand @ (hollywood @ X5) @ (mand @ (city @ X5) @ (mand @ (event @ X4) @ (mand @ (street @ X2) @ (mand @ (way @ X2) @ (mand @ (lonely @ X2) @ (mand @ (chevy @ X6) @ (mand @ (car @ X6) @ (mand @ (white @ X6) @ (mand @ (dirty @ X6) @ (mand @ (old @ X6) @ (mand @ (barrel @ X4 @ X6) @ (mand @ (down @ X4 @ X2) @ (in @ X4 @ X5)))))))))))))))))))))) @ (mexists_di @ (^[X7 : $i] : (mexists_di @ (^[X8 : $i] : (mexists_di @ (^[X9 : $i] : (mexists_di @ (^[X10 : $i] : (mand @ (hollywood @ X7) @ (mand @ (city @ X7) @ (mand @ (event @ X8) @ (mand @ (chevy @ X9) @ (mand @ (car @ X9) @ (mand @ (white @ X9) @ (mand @ (dirty @ X9) @ (mand @ (old @ X9) @ (mand @ (street @ X10) @ (mand @ (way @ X10) @ (mand @ (lonely @ X10) @ (mand @ (barrel @ X8 @ X9) @ (mand @ (down @ X8 @ X10) @ (in @ X8 @ X7))))))))))))))))))))))) @ (mimplies @ (mexists_di @ (^[X11 : $i] : (mexists_di @ (^[X12 : $i] : (mexists_di @ (^[X13 : $i] : (mexists_di @ (^[X14 : $i] : (mand @ (hollywood @ X11) @ (mand @ (city @ X11) @ (mand @ (event @ X12) @ (mand @ (chevy @ X13) @ (mand @ (car @ X13) @ (mand @ (white @ X13) @ (mand @ (dirty @ X13) @ (mand @ (old @ X13) @ (mand @ (street @ X14) @ (mand @ (way @ X14) @ (mand @ (lonely @ X14) @ (mand @ (barrel @ X12 @ X13) @ (mand @ (down @ X12 @ X14) @ (in @ X12 @ X11)))))))))))))))))))))) @ (mexists_di @ (^[X15 : $i] : (mexists_di @ (^[X16 : $i] : (mexists_di @ (^[X17 : $i] : (mexists_di @ (^[X18 : $i] : (mand @ (hollywood @ X15) @ (mand @ (city @ X15) @ (mand @ (event @ X16) @ (mand @ (street @ X17) @ (mand @ (way @ X17) @ (mand @ (lonely @ X17) @ (mand @ (chevy @ X18) @ (mand @ (car @ X18) @ (mand @ (white @ X18) @ (mand @ (dirty @ X18) @ (mand @ (old @ X18) @ (mand @ (barrel @ X16 @ X18) @ (mand @ (down @ X16 @ X17) @ (in @ X16 @ X15)))))))))))))))))))))))))),
% 2.05/1.98    inference(negated_conjecture,[status(cth)],[f15])).
% 2.05/1.98  thf(f15,conjecture,(
% 2.05/1.98    (mlocal @ (mand @ (mimplies @ (mexists_di @ (^[X5 : $i] : (mexists_di @ (^[X4 : $i] : (mexists_di @ (^[X2 : $i] : (mexists_di @ (^[X6 : $i] : (mand @ (hollywood @ X5) @ (mand @ (city @ X5) @ (mand @ (event @ X4) @ (mand @ (street @ X2) @ (mand @ (way @ X2) @ (mand @ (lonely @ X2) @ (mand @ (chevy @ X6) @ (mand @ (car @ X6) @ (mand @ (white @ X6) @ (mand @ (dirty @ X6) @ (mand @ (old @ X6) @ (mand @ (barrel @ X4 @ X6) @ (mand @ (down @ X4 @ X2) @ (in @ X4 @ X5)))))))))))))))))))))) @ (mexists_di @ (^[X7 : $i] : (mexists_di @ (^[X8 : $i] : (mexists_di @ (^[X9 : $i] : (mexists_di @ (^[X10 : $i] : (mand @ (hollywood @ X7) @ (mand @ (city @ X7) @ (mand @ (event @ X8) @ (mand @ (chevy @ X9) @ (mand @ (car @ X9) @ (mand @ (white @ X9) @ (mand @ (dirty @ X9) @ (mand @ (old @ X9) @ (mand @ (street @ X10) @ (mand @ (way @ X10) @ (mand @ (lonely @ X10) @ (mand @ (barrel @ X8 @ X9) @ (mand @ (down @ X8 @ X10) @ (in @ X8 @ X7))))))))))))))))))))))) @ (mimplies @ (mexists_di @ (^[X11 : $i] : (mexists_di @ (^[X12 : $i] : (mexists_di @ (^[X13 : $i] : (mexists_di @ (^[X14 : $i] : (mand @ (hollywood @ X11) @ (mand @ (city @ X11) @ (mand @ (event @ X12) @ (mand @ (chevy @ X13) @ (mand @ (car @ X13) @ (mand @ (white @ X13) @ (mand @ (dirty @ X13) @ (mand @ (old @ X13) @ (mand @ (street @ X14) @ (mand @ (way @ X14) @ (mand @ (lonely @ X14) @ (mand @ (barrel @ X12 @ X13) @ (mand @ (down @ X12 @ X14) @ (in @ X12 @ X11)))))))))))))))))))))) @ (mexists_di @ (^[X15 : $i] : (mexists_di @ (^[X16 : $i] : (mexists_di @ (^[X17 : $i] : (mexists_di @ (^[X18 : $i] : (mand @ (hollywood @ X15) @ (mand @ (city @ X15) @ (mand @ (event @ X16) @ (mand @ (street @ X17) @ (mand @ (way @ X17) @ (mand @ (lonely @ X17) @ (mand @ (chevy @ X18) @ (mand @ (car @ X18) @ (mand @ (white @ X18) @ (mand @ (dirty @ X18) @ (mand @ (old @ X18) @ (mand @ (barrel @ X16 @ X18) @ (mand @ (down @ X16 @ X17) @ (in @ X16 @ X15)))))))))))))))))))))))))),
% 2.05/1.98    file('/export/starexec/sandbox/tmp/tmp.twi9RYEzwQ/DTF2THF_1393.p',co1)).
% 2.05/1.98  thf(f2175,plain,(
% 2.05/1.98    spl1_108 | spl1_92),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f108,f1725,f1805])).
% 2.05/1.98  thf(f108,plain,(
% 2.05/1.98    ((hollywood @ sK2 @ mactual) = $true) | ((city @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f105])).
% 2.05/1.98  thf(f105,plain,(
% 2.05/1.98    (((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))))) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f104])).
% 2.05/1.98  thf(f2174,plain,(
% 2.05/1.98    spl1_131 | spl1_92),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f110,f1725,f1941])).
% 2.05/1.98  thf(f110,plain,(
% 2.05/1.98    ((event @ sK7 @ mactual) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f107])).
% 2.05/1.98  thf(f107,plain,(
% 2.05/1.98    ($true = ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))))) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f105])).
% 2.05/1.98  thf(f2173,plain,(
% 2.05/1.98    spl1_130 | spl1_92),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f112,f1725,f1936])).
% 2.05/1.98  thf(f112,plain,(
% 2.05/1.98    ((hollywood @ sK2 @ mactual) = $true) | ((chevy @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f109])).
% 2.05/1.98  thf(f109,plain,(
% 2.05/1.98    (((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f107])).
% 2.05/1.98  thf(f2172,plain,(
% 2.05/1.98    spl1_92 | spl1_129),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f114,f1931,f1725])).
% 2.05/1.98  thf(f114,plain,(
% 2.05/1.98    ((car @ sK8 @ mactual) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f111])).
% 2.05/1.98  thf(f111,plain,(
% 2.05/1.98    ($true = ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f109])).
% 2.05/1.98  thf(f2171,plain,(
% 2.05/1.98    spl1_128 | spl1_92),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f116,f1725,f1926])).
% 2.05/1.98  thf(f116,plain,(
% 2.05/1.98    ($true = (white @ sK8 @ mactual)) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f113])).
% 2.05/1.98  thf(f113,plain,(
% 2.05/1.98    ((hollywood @ sK2 @ mactual) = $true) | (((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f111])).
% 2.05/1.98  thf(f2170,plain,(
% 2.05/1.98    spl1_92 | spl1_127),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f118,f1921,f1725])).
% 2.05/1.98  thf(f118,plain,(
% 2.05/1.98    ((dirty @ sK8 @ mactual) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f115])).
% 2.05/1.98  thf(f115,plain,(
% 2.05/1.98    ((hollywood @ sK2 @ mactual) = $true) | (((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f113])).
% 2.05/1.98  thf(f2169,plain,(
% 2.05/1.98    spl1_126 | spl1_92),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f120,f1725,f1916])).
% 2.05/1.98  thf(f120,plain,(
% 2.05/1.98    ((old @ sK8 @ mactual) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f117])).
% 2.05/1.98  thf(f117,plain,(
% 2.05/1.98    ((hollywood @ sK2 @ mactual) = $true) | (((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f115])).
% 2.05/1.98  thf(f2168,plain,(
% 2.05/1.98    spl1_136 | spl1_92),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f122,f1725,f1983])).
% 2.05/1.98  thf(f122,plain,(
% 2.05/1.98    ((hollywood @ sK2 @ mactual) = $true) | ((street @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f119])).
% 2.05/1.98  thf(f119,plain,(
% 2.05/1.98    (((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f117])).
% 2.05/1.98  thf(f2167,plain,(
% 2.05/1.98    spl1_135 | spl1_92),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f124,f1725,f1978])).
% 2.05/1.98  thf(f124,plain,(
% 2.05/1.98    ((hollywood @ sK2 @ mactual) = $true) | ((way @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f121])).
% 2.05/1.98  thf(f121,plain,(
% 2.05/1.98    ((hollywood @ sK2 @ mactual) = $true) | ($true = ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f119])).
% 2.05/1.98  thf(f2166,plain,(
% 2.05/1.98    spl1_134 | spl1_92),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f126,f1725,f1973])).
% 2.05/1.98  thf(f126,plain,(
% 2.05/1.98    ((lonely @ sK9 @ mactual) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f123])).
% 2.05/1.98  thf(f123,plain,(
% 2.05/1.98    (((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f121])).
% 2.05/1.98  thf(f2165,plain,(
% 2.05/1.98    spl1_122 | spl1_92),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f128,f1725,f1896])).
% 2.05/1.98  thf(f128,plain,(
% 2.05/1.98    ((barrel @ sK7 @ sK8 @ mactual) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f125])).
% 2.05/1.98  thf(f125,plain,(
% 2.05/1.98    ((hollywood @ sK2 @ mactual) = $true) | (((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f123])).
% 2.05/1.98  thf(f2164,plain,(
% 2.05/1.98    spl1_133 | spl1_92),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f130,f1725,f1967])).
% 2.05/1.98  thf(f130,plain,(
% 2.05/1.98    ($true = (down @ sK7 @ sK9 @ mactual)) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f127])).
% 2.05/1.98  thf(f127,plain,(
% 2.05/1.98    (((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f125])).
% 2.05/1.98  thf(f2163,plain,(
% 2.05/1.98    spl1_120 | spl1_92),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f129,f1725,f1886])).
% 2.05/1.98  thf(f129,plain,(
% 2.05/1.98    ((hollywood @ sK2 @ mactual) = $true) | ($true = (in @ sK7 @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f127])).
% 2.05/1.98  thf(f2162,plain,(
% 2.05/1.98    spl1_109 | spl1_91),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f134,f1720,f1810])).
% 2.05/1.98  thf(f134,plain,(
% 2.05/1.98    ($true = (hollywood @ sK5 @ mactual)) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f132])).
% 2.05/1.98  thf(f132,plain,(
% 2.05/1.98    (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))) = $true) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f103])).
% 2.05/1.98  thf(f103,plain,(
% 2.05/1.98    ($true = ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) | (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f102])).
% 2.05/1.98  thf(f2161,plain,(
% 2.05/1.98    spl1_108 | spl1_91),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f136,f1720,f1805])).
% 2.05/1.98  thf(f136,plain,(
% 2.05/1.98    ((city @ sK5 @ mactual) = $true) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f133])).
% 2.05/1.98  thf(f133,plain,(
% 2.05/1.98    (((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))))) = $true) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f132])).
% 2.05/1.98  thf(f2160,plain,(
% 2.05/1.98    spl1_131 | spl1_91),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f138,f1720,f1941])).
% 2.05/1.98  thf(f138,plain,(
% 2.05/1.98    ((event @ sK7 @ mactual) = $true) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f135])).
% 2.05/1.98  thf(f135,plain,(
% 2.05/1.98    ($true = ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))))) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f133])).
% 2.05/1.98  thf(f2159,plain,(
% 2.05/1.98    spl1_91 | spl1_130),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f140,f1936,f1720])).
% 2.05/1.98  thf(f140,plain,(
% 2.05/1.98    ((chevy @ sK8 @ mactual) = $true) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f137])).
% 2.05/1.98  thf(f137,plain,(
% 2.05/1.98    (((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))) = $true) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f135])).
% 2.05/1.98  thf(f2158,plain,(
% 2.05/1.98    spl1_129 | spl1_91),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f142,f1720,f1931])).
% 2.05/1.98  thf(f142,plain,(
% 2.05/1.98    ((car @ sK8 @ mactual) = $true) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f139])).
% 2.05/1.98  thf(f139,plain,(
% 2.05/1.98    ($true = ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f137])).
% 2.05/1.98  thf(f2157,plain,(
% 2.05/1.98    spl1_128 | spl1_91),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f144,f1720,f1926])).
% 2.05/1.98  thf(f144,plain,(
% 2.05/1.98    ($true = (white @ sK8 @ mactual)) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f141])).
% 2.05/1.98  thf(f141,plain,(
% 2.05/1.98    ((city @ sK2 @ mactual) = $true) | (((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f139])).
% 2.05/1.98  thf(f2156,plain,(
% 2.05/1.98    spl1_127 | spl1_91),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f146,f1720,f1921])).
% 2.05/1.98  thf(f146,plain,(
% 2.05/1.98    ((dirty @ sK8 @ mactual) = $true) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f143])).
% 2.05/1.98  thf(f143,plain,(
% 2.05/1.98    (((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))) = $true) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f141])).
% 2.05/1.98  thf(f2155,plain,(
% 2.05/1.98    spl1_91 | spl1_126),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f148,f1916,f1720])).
% 2.05/1.98  thf(f148,plain,(
% 2.05/1.98    ((old @ sK8 @ mactual) = $true) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f145])).
% 2.05/1.98  thf(f145,plain,(
% 2.05/1.98    (((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))) = $true) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f143])).
% 2.05/1.98  thf(f2154,plain,(
% 2.05/1.98    spl1_91 | spl1_136),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f150,f1983,f1720])).
% 2.05/1.98  thf(f150,plain,(
% 2.05/1.98    ((city @ sK2 @ mactual) = $true) | ((street @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f147])).
% 2.05/1.98  thf(f147,plain,(
% 2.05/1.98    ((city @ sK2 @ mactual) = $true) | (((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f145])).
% 2.05/1.98  thf(f2153,plain,(
% 2.05/1.98    spl1_91 | spl1_135),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f152,f1978,f1720])).
% 2.05/1.98  thf(f152,plain,(
% 2.05/1.98    ((city @ sK2 @ mactual) = $true) | ((way @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f149])).
% 2.05/1.98  thf(f149,plain,(
% 2.05/1.98    ((city @ sK2 @ mactual) = $true) | ($true = ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f147])).
% 2.05/1.98  thf(f2152,plain,(
% 2.05/1.98    spl1_134 | spl1_91),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f154,f1720,f1973])).
% 2.05/1.98  thf(f154,plain,(
% 2.05/1.98    ((lonely @ sK9 @ mactual) = $true) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f151])).
% 2.05/1.98  thf(f151,plain,(
% 2.05/1.98    ((city @ sK2 @ mactual) = $true) | (((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f149])).
% 2.05/1.98  thf(f2151,plain,(
% 2.05/1.98    spl1_122 | spl1_91),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f156,f1720,f1896])).
% 2.05/1.98  thf(f156,plain,(
% 2.05/1.98    ((city @ sK2 @ mactual) = $true) | ((barrel @ sK7 @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f153])).
% 2.05/1.98  thf(f153,plain,(
% 2.05/1.98    ((city @ sK2 @ mactual) = $true) | (((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f151])).
% 2.05/1.98  thf(f2150,plain,(
% 2.05/1.98    spl1_133 | spl1_91),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f158,f1720,f1967])).
% 2.05/1.98  thf(f158,plain,(
% 2.05/1.98    ((city @ sK2 @ mactual) = $true) | ($true = (down @ sK7 @ sK9 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f155])).
% 2.05/1.98  thf(f155,plain,(
% 2.05/1.98    (((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)) = $true) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f153])).
% 2.05/1.98  thf(f2149,plain,(
% 2.05/1.98    spl1_91 | spl1_120),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f157,f1886,f1720])).
% 2.05/1.98  thf(f157,plain,(
% 2.05/1.98    ($true = (in @ sK7 @ sK5 @ mactual)) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f155])).
% 2.05/1.98  thf(f2148,plain,(
% 2.05/1.98    spl1_109 | spl1_90),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f162,f1715,f1810])).
% 2.05/1.98  thf(f162,plain,(
% 2.05/1.98    ($true = (hollywood @ sK5 @ mactual)) | ((event @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f160])).
% 2.05/1.98  thf(f160,plain,(
% 2.05/1.98    (((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))) = $true) | ($true = (hollywood @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f131])).
% 2.05/1.98  thf(f131,plain,(
% 2.05/1.98    (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))) = $true) | (((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f103])).
% 2.05/1.98  thf(f2147,plain,(
% 2.05/1.98    spl1_109 | spl1_89),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f164,f1710,f1810])).
% 2.05/1.98  thf(f164,plain,(
% 2.05/1.98    ((street @ sK4 @ mactual) = $true) | ($true = (hollywood @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f161])).
% 2.05/1.98  thf(f161,plain,(
% 2.05/1.98    ($true = (hollywood @ sK5 @ mactual)) | (((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f160])).
% 2.05/1.98  thf(f2146,plain,(
% 2.05/1.98    spl1_88 | spl1_109),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f166,f1810,f1705])).
% 2.05/1.98  thf(f166,plain,(
% 2.05/1.98    ($true = (hollywood @ sK5 @ mactual)) | ((way @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f163])).
% 2.05/1.98  thf(f163,plain,(
% 2.05/1.98    ($true = (hollywood @ sK5 @ mactual)) | (((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f161])).
% 2.05/1.98  thf(f2145,plain,(
% 2.05/1.98    spl1_87 | spl1_109),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f168,f1810,f1700])).
% 2.05/1.98  thf(f168,plain,(
% 2.05/1.98    ((lonely @ sK4 @ mactual) = $true) | ($true = (hollywood @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f165])).
% 2.05/1.98  thf(f165,plain,(
% 2.05/1.98    ($true = (hollywood @ sK5 @ mactual)) | (((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f163])).
% 2.05/1.98  thf(f2144,plain,(
% 2.05/1.98    spl1_117 | spl1_109),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f170,f1810,f1851])).
% 2.05/1.98  thf(f170,plain,(
% 2.05/1.98    ($true = (hollywood @ sK5 @ mactual)) | ((chevy @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f167])).
% 2.05/1.98  thf(f167,plain,(
% 2.05/1.98    (((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))) = $true) | ($true = (hollywood @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f165])).
% 2.05/1.98  thf(f2143,plain,(
% 2.05/1.98    spl1_109 | spl1_116),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f172,f1846,f1810])).
% 2.05/1.98  thf(f172,plain,(
% 2.05/1.98    ($true = (hollywood @ sK5 @ mactual)) | ((car @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f169])).
% 2.05/1.98  thf(f169,plain,(
% 2.05/1.98    (((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))) = $true) | ($true = (hollywood @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f167])).
% 2.05/1.98  thf(f2142,plain,(
% 2.05/1.98    spl1_115 | spl1_109),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f174,f1810,f1841])).
% 2.05/1.98  thf(f174,plain,(
% 2.05/1.98    ($true = (white @ sK6 @ mactual)) | ($true = (hollywood @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f171])).
% 2.05/1.98  thf(f171,plain,(
% 2.05/1.98    (((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))) = $true) | ($true = (hollywood @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f169])).
% 2.05/1.98  thf(f2141,plain,(
% 2.05/1.98    spl1_109 | spl1_114),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f176,f1836,f1810])).
% 2.05/1.98  thf(f176,plain,(
% 2.05/1.98    ($true = (dirty @ sK6 @ mactual)) | ($true = (hollywood @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f173])).
% 2.05/1.98  thf(f173,plain,(
% 2.05/1.98    (((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))) = $true) | ($true = (hollywood @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f171])).
% 2.05/1.98  thf(f2140,plain,(
% 2.05/1.98    spl1_109 | spl1_113),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f178,f1831,f1810])).
% 2.05/1.98  thf(f178,plain,(
% 2.05/1.98    ((old @ sK6 @ mactual) = $true) | ($true = (hollywood @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f175])).
% 2.05/1.98  thf(f175,plain,(
% 2.05/1.98    ($true = (hollywood @ sK5 @ mactual)) | (((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f173])).
% 2.05/1.98  thf(f2139,plain,(
% 2.05/1.98    spl1_112 | spl1_109),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f180,f1810,f1826])).
% 2.05/1.98  thf(f180,plain,(
% 2.05/1.98    ((barrel @ sK3 @ sK6 @ mactual) = $true) | ($true = (hollywood @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f177])).
% 2.05/1.98  thf(f177,plain,(
% 2.05/1.98    ($true = (hollywood @ sK5 @ mactual)) | ($true = ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f175])).
% 2.05/1.98  thf(f2138,plain,(
% 2.05/1.98    spl1_109 | spl1_80),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f182,f1665,f1810])).
% 2.05/1.98  thf(f182,plain,(
% 2.05/1.98    ((down @ sK3 @ sK4 @ mactual) = $true) | ($true = (hollywood @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f179])).
% 2.05/1.98  thf(f179,plain,(
% 2.05/1.98    ($true = (hollywood @ sK5 @ mactual)) | ($true = ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f177])).
% 2.05/1.98  thf(f2137,plain,(
% 2.05/1.98    spl1_109 | spl1_79),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f181,f1660,f1810])).
% 2.05/1.98  thf(f181,plain,(
% 2.05/1.98    ($true = (in @ sK3 @ sK2 @ mactual)) | ($true = (hollywood @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f179])).
% 2.05/1.98  thf(f2136,plain,(
% 2.05/1.98    spl1_90 | spl1_108),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f186,f1805,f1715])).
% 2.05/1.98  thf(f186,plain,(
% 2.05/1.98    ((event @ sK3 @ mactual) = $true) | ((city @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f184])).
% 2.05/1.98  thf(f184,plain,(
% 2.05/1.98    (((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))))) = $true) | ((event @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f159])).
% 2.05/1.98  thf(f159,plain,(
% 2.05/1.98    (((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))) = $true) | (((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f131])).
% 2.05/1.98  thf(f2135,plain,(
% 2.05/1.98    spl1_131 | spl1_90),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f188,f1715,f1941])).
% 2.05/1.98  thf(f188,plain,(
% 2.05/1.98    ((event @ sK7 @ mactual) = $true) | ((event @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f185])).
% 2.05/1.98  thf(f185,plain,(
% 2.05/1.98    ((event @ sK3 @ mactual) = $true) | ($true = ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f184])).
% 2.05/1.98  thf(f2134,plain,(
% 2.05/1.98    spl1_90 | spl1_130),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f190,f1936,f1715])).
% 2.05/1.98  thf(f190,plain,(
% 2.05/1.98    ((chevy @ sK8 @ mactual) = $true) | ((event @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f187])).
% 2.05/1.98  thf(f187,plain,(
% 2.05/1.98    (((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))) = $true) | ((event @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f185])).
% 2.05/1.98  thf(f2133,plain,(
% 2.05/1.98    spl1_129 | spl1_90),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f192,f1715,f1931])).
% 2.05/1.98  thf(f192,plain,(
% 2.05/1.98    ((event @ sK3 @ mactual) = $true) | ((car @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f189])).
% 2.05/1.98  thf(f189,plain,(
% 2.05/1.98    ($true = ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))) | ((event @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f187])).
% 2.05/1.98  thf(f2132,plain,(
% 2.05/1.98    spl1_90 | spl1_128),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f194,f1926,f1715])).
% 2.05/1.98  thf(f194,plain,(
% 2.05/1.98    ((event @ sK3 @ mactual) = $true) | ($true = (white @ sK8 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f191])).
% 2.05/1.98  thf(f191,plain,(
% 2.05/1.98    ((event @ sK3 @ mactual) = $true) | (((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f189])).
% 2.05/1.98  thf(f2131,plain,(
% 2.05/1.98    spl1_127 | spl1_90),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f196,f1715,f1921])).
% 2.05/1.98  thf(f196,plain,(
% 2.05/1.98    ((dirty @ sK8 @ mactual) = $true) | ((event @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f193])).
% 2.05/1.98  thf(f193,plain,(
% 2.05/1.98    ((event @ sK3 @ mactual) = $true) | (((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f191])).
% 2.05/1.98  thf(f2130,plain,(
% 2.05/1.98    spl1_90 | spl1_126),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f198,f1916,f1715])).
% 2.05/1.98  thf(f198,plain,(
% 2.05/1.98    ((event @ sK3 @ mactual) = $true) | ((old @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f195])).
% 2.05/1.98  thf(f195,plain,(
% 2.05/1.98    ((event @ sK3 @ mactual) = $true) | (((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f193])).
% 2.05/1.98  thf(f2129,plain,(
% 2.05/1.98    spl1_136 | spl1_90),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f200,f1715,f1983])).
% 2.05/1.98  thf(f200,plain,(
% 2.05/1.98    ((street @ sK9 @ mactual) = $true) | ((event @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f197])).
% 2.05/1.98  thf(f197,plain,(
% 2.05/1.98    ((event @ sK3 @ mactual) = $true) | (((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f195])).
% 2.05/1.98  thf(f2128,plain,(
% 2.05/1.98    spl1_90 | spl1_135),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f202,f1978,f1715])).
% 2.05/1.98  thf(f202,plain,(
% 2.05/1.98    ((event @ sK3 @ mactual) = $true) | ((way @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f199])).
% 2.05/1.98  thf(f199,plain,(
% 2.05/1.98    ($true = ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) | ((event @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f197])).
% 2.05/1.98  thf(f2127,plain,(
% 2.05/1.98    spl1_134 | spl1_90),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f204,f1715,f1973])).
% 2.05/1.98  thf(f204,plain,(
% 2.05/1.98    ((lonely @ sK9 @ mactual) = $true) | ((event @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f201])).
% 2.05/1.98  thf(f201,plain,(
% 2.05/1.98    ((event @ sK3 @ mactual) = $true) | (((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f199])).
% 2.05/1.98  thf(f2126,plain,(
% 2.05/1.98    spl1_122 | spl1_90),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f206,f1715,f1896])).
% 2.05/1.98  thf(f206,plain,(
% 2.05/1.98    ((barrel @ sK7 @ sK8 @ mactual) = $true) | ((event @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f203])).
% 2.05/1.98  thf(f203,plain,(
% 2.05/1.98    (((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))) = $true) | ((event @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f201])).
% 2.05/1.98  thf(f2125,plain,(
% 2.05/1.98    spl1_90 | spl1_133),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f208,f1967,f1715])).
% 2.05/1.98  thf(f208,plain,(
% 2.05/1.98    ((event @ sK3 @ mactual) = $true) | ($true = (down @ sK7 @ sK9 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f205])).
% 2.05/1.98  thf(f205,plain,(
% 2.05/1.98    ((event @ sK3 @ mactual) = $true) | (((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f203])).
% 2.05/1.98  thf(f2124,plain,(
% 2.05/1.98    spl1_90 | spl1_120),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f207,f1886,f1715])).
% 2.05/1.98  thf(f207,plain,(
% 2.05/1.98    ($true = (in @ sK7 @ sK5 @ mactual)) | ((event @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f205])).
% 2.05/1.98  thf(f2123,plain,(
% 2.05/1.98    spl1_89 | spl1_108),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f212,f1805,f1710])).
% 2.05/1.98  thf(f212,plain,(
% 2.05/1.98    ((street @ sK4 @ mactual) = $true) | ((city @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f210])).
% 2.05/1.98  thf(f210,plain,(
% 2.05/1.98    ((city @ sK5 @ mactual) = $true) | (((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f183])).
% 2.05/1.98  thf(f183,plain,(
% 2.05/1.98    (((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))))) = $true) | (((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f159])).
% 2.05/1.98  thf(f2122,plain,(
% 2.05/1.98    spl1_108 | spl1_88),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f214,f1705,f1805])).
% 2.05/1.98  thf(f214,plain,(
% 2.05/1.98    ((city @ sK5 @ mactual) = $true) | ((way @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f211])).
% 2.05/1.98  thf(f211,plain,(
% 2.05/1.98    (((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))) = $true) | ((city @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f210])).
% 2.05/1.98  thf(f2121,plain,(
% 2.05/1.98    spl1_108 | spl1_87),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f216,f1700,f1805])).
% 2.05/1.98  thf(f216,plain,(
% 2.05/1.98    ((lonely @ sK4 @ mactual) = $true) | ((city @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f213])).
% 2.05/1.98  thf(f213,plain,(
% 2.05/1.98    (((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))))) = $true) | ((city @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f211])).
% 2.05/1.98  thf(f2120,plain,(
% 2.05/1.98    spl1_108 | spl1_117),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f218,f1851,f1805])).
% 2.05/1.98  thf(f218,plain,(
% 2.05/1.98    ((chevy @ sK6 @ mactual) = $true) | ((city @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f215])).
% 2.05/1.98  thf(f215,plain,(
% 2.05/1.98    ((city @ sK5 @ mactual) = $true) | (((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f213])).
% 2.05/1.98  thf(f2119,plain,(
% 2.05/1.98    spl1_116 | spl1_108),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f220,f1805,f1846])).
% 2.05/1.98  thf(f220,plain,(
% 2.05/1.98    ((car @ sK6 @ mactual) = $true) | ((city @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f217])).
% 2.05/1.98  thf(f217,plain,(
% 2.05/1.98    ((city @ sK5 @ mactual) = $true) | (((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f215])).
% 2.05/1.98  thf(f2118,plain,(
% 2.05/1.98    spl1_108 | spl1_115),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f222,f1841,f1805])).
% 2.05/1.98  thf(f222,plain,(
% 2.05/1.98    ($true = (white @ sK6 @ mactual)) | ((city @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f219])).
% 2.05/1.98  thf(f219,plain,(
% 2.05/1.98    (((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))) = $true) | ((city @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f217])).
% 2.05/1.98  thf(f2117,plain,(
% 2.05/1.98    spl1_114 | spl1_108),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f224,f1805,f1836])).
% 2.05/1.98  thf(f224,plain,(
% 2.05/1.98    ((city @ sK5 @ mactual) = $true) | ($true = (dirty @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f221])).
% 2.05/1.98  thf(f221,plain,(
% 2.05/1.98    ((city @ sK5 @ mactual) = $true) | (((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f219])).
% 2.05/1.98  thf(f2116,plain,(
% 2.05/1.98    spl1_113 | spl1_108),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f226,f1805,f1831])).
% 2.05/1.98  thf(f226,plain,(
% 2.05/1.98    ((old @ sK6 @ mactual) = $true) | ((city @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f223])).
% 2.05/1.98  thf(f223,plain,(
% 2.05/1.98    (((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))) = $true) | ((city @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f221])).
% 2.05/1.98  thf(f2115,plain,(
% 2.05/1.98    spl1_108 | spl1_112),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f228,f1826,f1805])).
% 2.05/1.98  thf(f228,plain,(
% 2.05/1.98    ((barrel @ sK3 @ sK6 @ mactual) = $true) | ((city @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f225])).
% 2.05/1.98  thf(f225,plain,(
% 2.05/1.98    ((city @ sK5 @ mactual) = $true) | ($true = ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f223])).
% 2.05/1.98  thf(f2114,plain,(
% 2.05/1.98    spl1_108 | spl1_80),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f230,f1665,f1805])).
% 2.05/1.98  thf(f230,plain,(
% 2.05/1.98    ((down @ sK3 @ sK4 @ mactual) = $true) | ((city @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f227])).
% 2.05/1.98  thf(f227,plain,(
% 2.05/1.98    ((city @ sK5 @ mactual) = $true) | ($true = ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f225])).
% 2.05/1.98  thf(f2113,plain,(
% 2.05/1.98    spl1_108 | spl1_79),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f229,f1660,f1805])).
% 2.05/1.98  thf(f229,plain,(
% 2.05/1.98    ((city @ sK5 @ mactual) = $true) | ($true = (in @ sK3 @ sK2 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f227])).
% 2.05/1.98  thf(f2112,plain,(
% 2.05/1.98    spl1_89 | spl1_131),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f234,f1941,f1710])).
% 2.05/1.98  thf(f234,plain,(
% 2.05/1.98    ((street @ sK4 @ mactual) = $true) | ((event @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f232])).
% 2.05/1.98  thf(f232,plain,(
% 2.05/1.98    ($true = ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))))) | ((street @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f209])).
% 2.05/1.98  thf(f209,plain,(
% 2.05/1.98    (((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))))))) = $true) | ($true = ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f183])).
% 2.05/1.98  thf(f2111,plain,(
% 2.05/1.98    spl1_130 | spl1_89),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f236,f1710,f1936])).
% 2.05/1.98  thf(f236,plain,(
% 2.05/1.98    ((chevy @ sK8 @ mactual) = $true) | ((street @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f233])).
% 2.05/1.98  thf(f233,plain,(
% 2.05/1.98    ((street @ sK4 @ mactual) = $true) | (((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f232])).
% 2.05/1.98  thf(f2110,plain,(
% 2.05/1.98    spl1_89 | spl1_129),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f238,f1931,f1710])).
% 2.05/1.98  thf(f238,plain,(
% 2.05/1.98    ((street @ sK4 @ mactual) = $true) | ((car @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f235])).
% 2.05/1.98  thf(f235,plain,(
% 2.05/1.98    ((street @ sK4 @ mactual) = $true) | ($true = ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f233])).
% 2.05/1.98  thf(f2109,plain,(
% 2.05/1.98    spl1_128 | spl1_89),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f240,f1710,f1926])).
% 2.05/1.98  thf(f240,plain,(
% 2.05/1.98    ((street @ sK4 @ mactual) = $true) | ($true = (white @ sK8 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f237])).
% 2.05/1.98  thf(f237,plain,(
% 2.05/1.98    (((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))) = $true) | ((street @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f235])).
% 2.05/1.98  thf(f2108,plain,(
% 2.05/1.98    spl1_89 | spl1_127),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f242,f1921,f1710])).
% 2.05/1.98  thf(f242,plain,(
% 2.05/1.98    ((dirty @ sK8 @ mactual) = $true) | ((street @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f239])).
% 2.05/1.98  thf(f239,plain,(
% 2.05/1.98    ((street @ sK4 @ mactual) = $true) | (((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f237])).
% 2.05/1.98  thf(f2107,plain,(
% 2.05/1.98    spl1_89 | spl1_126),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f244,f1916,f1710])).
% 2.05/1.98  thf(f244,plain,(
% 2.05/1.98    ((old @ sK8 @ mactual) = $true) | ((street @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f241])).
% 2.05/1.98  thf(f241,plain,(
% 2.05/1.98    (((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))) = $true) | ((street @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f239])).
% 2.05/1.98  thf(f2106,plain,(
% 2.05/1.98    spl1_89 | spl1_136),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f246,f1983,f1710])).
% 2.05/1.98  thf(f246,plain,(
% 2.05/1.98    ((street @ sK9 @ mactual) = $true) | ((street @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f243])).
% 2.05/1.98  thf(f243,plain,(
% 2.05/1.98    ((street @ sK4 @ mactual) = $true) | (((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f241])).
% 2.05/1.98  thf(f2105,plain,(
% 2.05/1.98    spl1_89 | spl1_135),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f248,f1978,f1710])).
% 2.05/1.98  thf(f248,plain,(
% 2.05/1.98    ((way @ sK9 @ mactual) = $true) | ((street @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f245])).
% 2.05/1.98  thf(f245,plain,(
% 2.05/1.98    ((street @ sK4 @ mactual) = $true) | ($true = ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f243])).
% 2.05/1.98  thf(f2104,plain,(
% 2.05/1.98    spl1_134 | spl1_89),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f250,f1710,f1973])).
% 2.05/1.98  thf(f250,plain,(
% 2.05/1.98    ((lonely @ sK9 @ mactual) = $true) | ((street @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f247])).
% 2.05/1.98  thf(f247,plain,(
% 2.05/1.98    ((street @ sK4 @ mactual) = $true) | (((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f245])).
% 2.05/1.98  thf(f2103,plain,(
% 2.05/1.98    spl1_89 | spl1_122),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f252,f1896,f1710])).
% 2.05/1.98  thf(f252,plain,(
% 2.05/1.98    ((barrel @ sK7 @ sK8 @ mactual) = $true) | ((street @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f249])).
% 2.05/1.98  thf(f249,plain,(
% 2.05/1.98    ((street @ sK4 @ mactual) = $true) | (((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f247])).
% 2.05/1.98  thf(f2102,plain,(
% 2.05/1.98    spl1_133 | spl1_89),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f254,f1710,f1967])).
% 2.05/1.98  thf(f254,plain,(
% 2.05/1.98    ($true = (down @ sK7 @ sK9 @ mactual)) | ((street @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f251])).
% 2.05/1.98  thf(f251,plain,(
% 2.05/1.98    ((street @ sK4 @ mactual) = $true) | (((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f249])).
% 2.05/1.98  thf(f2101,plain,(
% 2.05/1.98    spl1_120 | spl1_89),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f253,f1710,f1886])).
% 2.05/1.98  thf(f253,plain,(
% 2.05/1.98    ($true = (in @ sK7 @ sK5 @ mactual)) | ((street @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f251])).
% 2.05/1.98  thf(f2100,plain,(
% 2.05/1.98    spl1_88 | spl1_131),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f258,f1941,f1705])).
% 2.05/1.98  thf(f258,plain,(
% 2.05/1.98    ((event @ sK7 @ mactual) = $true) | ((way @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f256])).
% 2.05/1.98  thf(f256,plain,(
% 2.05/1.98    ($true = ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))))) | ((way @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f231])).
% 2.05/1.98  thf(f231,plain,(
% 2.05/1.98    (((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))) = $true) | ($true = ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f209])).
% 2.05/1.98  thf(f2099,plain,(
% 2.05/1.98    spl1_88 | spl1_130),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f260,f1936,f1705])).
% 2.05/1.98  thf(f260,plain,(
% 2.05/1.98    ((chevy @ sK8 @ mactual) = $true) | ((way @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f257])).
% 2.05/1.98  thf(f257,plain,(
% 2.05/1.98    (((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))) = $true) | ((way @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f256])).
% 2.05/1.98  thf(f2098,plain,(
% 2.05/1.98    spl1_88 | spl1_129),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f262,f1931,f1705])).
% 2.05/1.98  thf(f262,plain,(
% 2.05/1.98    ((way @ sK4 @ mactual) = $true) | ((car @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f259])).
% 2.05/1.98  thf(f259,plain,(
% 2.05/1.98    ($true = ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))) | ((way @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f257])).
% 2.05/1.98  thf(f2097,plain,(
% 2.05/1.98    spl1_128 | spl1_88),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f264,f1705,f1926])).
% 2.05/1.98  thf(f264,plain,(
% 2.05/1.98    ((way @ sK4 @ mactual) = $true) | ($true = (white @ sK8 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f261])).
% 2.05/1.98  thf(f261,plain,(
% 2.05/1.98    (((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))) = $true) | ((way @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f259])).
% 2.05/1.98  thf(f2096,plain,(
% 2.05/1.98    spl1_88 | spl1_127),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f266,f1921,f1705])).
% 2.05/1.98  thf(f266,plain,(
% 2.05/1.98    ((dirty @ sK8 @ mactual) = $true) | ((way @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f263])).
% 2.05/1.98  thf(f263,plain,(
% 2.05/1.98    (((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))) = $true) | ((way @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f261])).
% 2.05/1.98  thf(f2095,plain,(
% 2.05/1.98    spl1_126 | spl1_88),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f268,f1705,f1916])).
% 2.05/1.98  thf(f268,plain,(
% 2.05/1.98    ((way @ sK4 @ mactual) = $true) | ((old @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f265])).
% 2.05/1.98  thf(f265,plain,(
% 2.05/1.98    ((way @ sK4 @ mactual) = $true) | (((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f263])).
% 2.05/1.98  thf(f2094,plain,(
% 2.05/1.98    spl1_136 | spl1_88),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f270,f1705,f1983])).
% 2.05/1.98  thf(f270,plain,(
% 2.05/1.98    ((street @ sK9 @ mactual) = $true) | ((way @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f267])).
% 2.05/1.98  thf(f267,plain,(
% 2.05/1.98    ((way @ sK4 @ mactual) = $true) | (((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f265])).
% 2.05/1.98  thf(f2093,plain,(
% 2.05/1.98    spl1_135 | spl1_88),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f272,f1705,f1978])).
% 2.05/1.98  thf(f272,plain,(
% 2.05/1.98    ((way @ sK4 @ mactual) = $true) | ((way @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f269])).
% 2.05/1.98  thf(f269,plain,(
% 2.05/1.98    ((way @ sK4 @ mactual) = $true) | ($true = ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f267])).
% 2.05/1.98  thf(f2092,plain,(
% 2.05/1.98    spl1_88 | spl1_134),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f274,f1973,f1705])).
% 2.05/1.98  thf(f274,plain,(
% 2.05/1.98    ((lonely @ sK9 @ mactual) = $true) | ((way @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f271])).
% 2.05/1.98  thf(f271,plain,(
% 2.05/1.98    ((way @ sK4 @ mactual) = $true) | (((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f269])).
% 2.05/1.98  thf(f2091,plain,(
% 2.05/1.98    spl1_88 | spl1_122),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f276,f1896,f1705])).
% 2.05/1.98  thf(f276,plain,(
% 2.05/1.98    ((barrel @ sK7 @ sK8 @ mactual) = $true) | ((way @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f273])).
% 2.05/1.98  thf(f273,plain,(
% 2.05/1.98    (((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))) = $true) | ((way @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f271])).
% 2.05/1.98  thf(f2090,plain,(
% 2.05/1.98    spl1_133 | spl1_88),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f278,f1705,f1967])).
% 2.05/1.98  thf(f278,plain,(
% 2.05/1.98    ($true = (down @ sK7 @ sK9 @ mactual)) | ((way @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f275])).
% 2.05/1.98  thf(f275,plain,(
% 2.05/1.98    ((way @ sK4 @ mactual) = $true) | (((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f273])).
% 2.05/1.98  thf(f2089,plain,(
% 2.05/1.98    spl1_120 | spl1_88),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f277,f1705,f1886])).
% 2.05/1.98  thf(f277,plain,(
% 2.05/1.98    ($true = (in @ sK7 @ sK5 @ mactual)) | ((way @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f275])).
% 2.05/1.98  thf(f2088,plain,(
% 2.05/1.98    spl1_87 | spl1_131),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f282,f1941,f1700])).
% 2.05/1.98  thf(f282,plain,(
% 2.05/1.98    ((lonely @ sK4 @ mactual) = $true) | ((event @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f280])).
% 2.05/1.98  thf(f280,plain,(
% 2.05/1.98    ((lonely @ sK4 @ mactual) = $true) | ($true = ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f255])).
% 2.05/1.98  thf(f255,plain,(
% 2.05/1.98    (((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))))) = $true) | ($true = ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f231])).
% 2.05/1.98  thf(f2087,plain,(
% 2.05/1.98    spl1_130 | spl1_87),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f284,f1700,f1936])).
% 2.05/1.98  thf(f284,plain,(
% 2.05/1.98    ((chevy @ sK8 @ mactual) = $true) | ((lonely @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f281])).
% 2.05/1.98  thf(f281,plain,(
% 2.05/1.98    (((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))) = $true) | ((lonely @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f280])).
% 2.05/1.98  thf(f2086,plain,(
% 2.05/1.98    spl1_129 | spl1_87),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f286,f1700,f1931])).
% 2.05/1.98  thf(f286,plain,(
% 2.05/1.98    ((car @ sK8 @ mactual) = $true) | ((lonely @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f283])).
% 2.05/1.98  thf(f283,plain,(
% 2.05/1.98    ((lonely @ sK4 @ mactual) = $true) | ($true = ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f281])).
% 2.05/1.98  thf(f2085,plain,(
% 2.05/1.98    spl1_87 | spl1_128),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f288,f1926,f1700])).
% 2.05/1.98  thf(f288,plain,(
% 2.05/1.98    ($true = (white @ sK8 @ mactual)) | ((lonely @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f285])).
% 2.05/1.98  thf(f285,plain,(
% 2.05/1.98    (((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))) = $true) | ((lonely @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f283])).
% 2.05/1.98  thf(f2084,plain,(
% 2.05/1.98    spl1_87 | spl1_127),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f290,f1921,f1700])).
% 2.05/1.98  thf(f290,plain,(
% 2.05/1.98    ((lonely @ sK4 @ mactual) = $true) | ((dirty @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f287])).
% 2.05/1.98  thf(f287,plain,(
% 2.05/1.98    ((lonely @ sK4 @ mactual) = $true) | (((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f285])).
% 2.05/1.98  thf(f2083,plain,(
% 2.05/1.98    spl1_87 | spl1_126),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f292,f1916,f1700])).
% 2.05/1.98  thf(f292,plain,(
% 2.05/1.98    ((old @ sK8 @ mactual) = $true) | ((lonely @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f289])).
% 2.05/1.98  thf(f289,plain,(
% 2.05/1.98    ((lonely @ sK4 @ mactual) = $true) | (((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f287])).
% 2.05/1.98  thf(f2082,plain,(
% 2.05/1.98    spl1_136 | spl1_87),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f294,f1700,f1983])).
% 2.05/1.98  thf(f294,plain,(
% 2.05/1.98    ((street @ sK9 @ mactual) = $true) | ((lonely @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f291])).
% 2.05/1.98  thf(f291,plain,(
% 2.05/1.98    (((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) = $true) | ((lonely @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f289])).
% 2.05/1.98  thf(f2081,plain,(
% 2.05/1.98    spl1_135 | spl1_87),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f296,f1700,f1978])).
% 2.05/1.98  thf(f296,plain,(
% 2.05/1.98    ((way @ sK9 @ mactual) = $true) | ((lonely @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f293])).
% 2.05/1.98  thf(f293,plain,(
% 2.05/1.98    ($true = ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) | ((lonely @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f291])).
% 2.05/1.98  thf(f2080,plain,(
% 2.05/1.98    spl1_134 | spl1_87),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f298,f1700,f1973])).
% 2.05/1.98  thf(f298,plain,(
% 2.05/1.98    ((lonely @ sK4 @ mactual) = $true) | ((lonely @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f295])).
% 2.05/1.98  thf(f295,plain,(
% 2.05/1.98    ((lonely @ sK4 @ mactual) = $true) | (((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f293])).
% 2.05/1.98  thf(f2079,plain,(
% 2.05/1.98    spl1_122 | spl1_87),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f300,f1700,f1896])).
% 2.05/1.98  thf(f300,plain,(
% 2.05/1.98    ((barrel @ sK7 @ sK8 @ mactual) = $true) | ((lonely @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f297])).
% 2.05/1.98  thf(f297,plain,(
% 2.05/1.98    (((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))) = $true) | ((lonely @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f295])).
% 2.05/1.98  thf(f2078,plain,(
% 2.05/1.98    spl1_87 | spl1_133),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f302,f1967,f1700])).
% 2.05/1.98  thf(f302,plain,(
% 2.05/1.98    ((lonely @ sK4 @ mactual) = $true) | ($true = (down @ sK7 @ sK9 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f299])).
% 2.05/1.98  thf(f299,plain,(
% 2.05/1.98    ((lonely @ sK4 @ mactual) = $true) | (((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f297])).
% 2.05/1.98  thf(f2077,plain,(
% 2.05/1.98    spl1_87 | spl1_120),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f301,f1886,f1700])).
% 2.05/1.98  thf(f301,plain,(
% 2.05/1.98    ((lonely @ sK4 @ mactual) = $true) | ($true = (in @ sK7 @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f299])).
% 2.05/1.98  thf(f2076,plain,(
% 2.05/1.98    spl1_117 | spl1_131),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f306,f1941,f1851])).
% 2.05/1.98  thf(f306,plain,(
% 2.05/1.98    ((event @ sK7 @ mactual) = $true) | ((chevy @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f304])).
% 2.05/1.98  thf(f304,plain,(
% 2.05/1.98    (((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))) = $true) | ((event @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f279])).
% 2.05/1.98  thf(f279,plain,(
% 2.05/1.98    ($true = ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))))) | (((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f255])).
% 2.05/1.98  thf(f2075,plain,(
% 2.05/1.98    spl1_131 | spl1_116),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f308,f1846,f1941])).
% 2.05/1.98  thf(f308,plain,(
% 2.05/1.98    ((event @ sK7 @ mactual) = $true) | ((car @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f305])).
% 2.05/1.98  thf(f305,plain,(
% 2.05/1.98    ((event @ sK7 @ mactual) = $true) | (((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f304])).
% 2.05/1.98  thf(f2074,plain,(
% 2.05/1.98    spl1_115 | spl1_131),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f310,f1941,f1841])).
% 2.05/1.98  thf(f310,plain,(
% 2.05/1.98    ((event @ sK7 @ mactual) = $true) | ($true = (white @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f307])).
% 2.05/1.98  thf(f307,plain,(
% 2.05/1.98    ((event @ sK7 @ mactual) = $true) | (((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f305])).
% 2.05/1.98  thf(f2073,plain,(
% 2.05/1.98    spl1_131 | spl1_114),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f312,f1836,f1941])).
% 2.05/1.98  thf(f312,plain,(
% 2.05/1.98    ($true = (dirty @ sK6 @ mactual)) | ((event @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f309])).
% 2.05/1.98  thf(f309,plain,(
% 2.05/1.98    ((event @ sK7 @ mactual) = $true) | (((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f307])).
% 2.05/1.98  thf(f2072,plain,(
% 2.05/1.98    spl1_131 | spl1_113),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f314,f1831,f1941])).
% 2.05/1.98  thf(f314,plain,(
% 2.05/1.98    ((old @ sK6 @ mactual) = $true) | ((event @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f311])).
% 2.05/1.98  thf(f311,plain,(
% 2.05/1.98    (((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))) = $true) | ((event @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f309])).
% 2.05/1.98  thf(f2071,plain,(
% 2.05/1.98    spl1_112 | spl1_131),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f316,f1941,f1826])).
% 2.05/1.98  thf(f316,plain,(
% 2.05/1.98    ((barrel @ sK3 @ sK6 @ mactual) = $true) | ((event @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f313])).
% 2.05/1.98  thf(f313,plain,(
% 2.05/1.98    ($true = ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))) | ((event @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f311])).
% 2.05/1.98  thf(f2070,plain,(
% 2.05/1.98    spl1_80 | spl1_131),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f318,f1941,f1665])).
% 2.05/1.98  thf(f318,plain,(
% 2.05/1.98    ((event @ sK7 @ mactual) = $true) | ((down @ sK3 @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f315])).
% 2.05/1.98  thf(f315,plain,(
% 2.05/1.98    ($true = ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))) | ((event @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f313])).
% 2.05/1.98  thf(f2069,plain,(
% 2.05/1.98    spl1_79 | spl1_131),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f317,f1941,f1660])).
% 2.05/1.98  thf(f317,plain,(
% 2.05/1.98    ($true = (in @ sK3 @ sK2 @ mactual)) | ((event @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f315])).
% 2.05/1.98  thf(f2068,plain,(
% 2.05/1.98    spl1_130 | spl1_117),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f322,f1851,f1936])).
% 2.05/1.98  thf(f322,plain,(
% 2.05/1.98    ((chevy @ sK6 @ mactual) = $true) | ((chevy @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f320])).
% 2.05/1.98  thf(f320,plain,(
% 2.05/1.98    (((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))) = $true) | ((chevy @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f303])).
% 2.05/1.98  thf(f303,plain,(
% 2.05/1.98    (((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))) = $true) | (((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f279])).
% 2.05/1.98  thf(f2067,plain,(
% 2.05/1.98    spl1_117 | spl1_129),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f324,f1931,f1851])).
% 2.05/1.98  thf(f324,plain,(
% 2.05/1.98    ((car @ sK8 @ mactual) = $true) | ((chevy @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f321])).
% 2.05/1.98  thf(f321,plain,(
% 2.05/1.98    ($true = ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))) | ((chevy @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f320])).
% 2.05/1.98  thf(f2066,plain,(
% 2.05/1.98    spl1_117 | spl1_128),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f326,f1926,f1851])).
% 2.05/1.98  thf(f326,plain,(
% 2.05/1.98    ((chevy @ sK6 @ mactual) = $true) | ($true = (white @ sK8 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f323])).
% 2.05/1.98  thf(f323,plain,(
% 2.05/1.98    (((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))) = $true) | ((chevy @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f321])).
% 2.05/1.98  thf(f2065,plain,(
% 2.05/1.98    spl1_127 | spl1_117),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f328,f1851,f1921])).
% 2.05/1.98  thf(f328,plain,(
% 2.05/1.98    ((chevy @ sK6 @ mactual) = $true) | ((dirty @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f325])).
% 2.05/1.98  thf(f325,plain,(
% 2.05/1.98    ((chevy @ sK6 @ mactual) = $true) | (((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f323])).
% 2.05/1.98  thf(f2064,plain,(
% 2.05/1.98    spl1_126 | spl1_117),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f330,f1851,f1916])).
% 2.05/1.98  thf(f330,plain,(
% 2.05/1.98    ((old @ sK8 @ mactual) = $true) | ((chevy @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f327])).
% 2.05/1.98  thf(f327,plain,(
% 2.05/1.98    (((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))) = $true) | ((chevy @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f325])).
% 2.05/1.98  thf(f2063,plain,(
% 2.05/1.98    spl1_136 | spl1_117),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f332,f1851,f1983])).
% 2.05/1.98  thf(f332,plain,(
% 2.05/1.98    ((chevy @ sK6 @ mactual) = $true) | ((street @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f329])).
% 2.05/1.98  thf(f329,plain,(
% 2.05/1.98    (((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) = $true) | ((chevy @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f327])).
% 2.05/1.98  thf(f2062,plain,(
% 2.05/1.98    spl1_117 | spl1_135),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f334,f1978,f1851])).
% 2.05/1.98  thf(f334,plain,(
% 2.05/1.98    ((chevy @ sK6 @ mactual) = $true) | ((way @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f331])).
% 2.05/1.98  thf(f331,plain,(
% 2.05/1.98    ($true = ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) | ((chevy @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f329])).
% 2.05/1.98  thf(f2061,plain,(
% 2.05/1.98    spl1_134 | spl1_117),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f336,f1851,f1973])).
% 2.05/1.98  thf(f336,plain,(
% 2.05/1.98    ((lonely @ sK9 @ mactual) = $true) | ((chevy @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f333])).
% 2.05/1.98  thf(f333,plain,(
% 2.05/1.98    ((chevy @ sK6 @ mactual) = $true) | (((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f331])).
% 2.05/1.98  thf(f2060,plain,(
% 2.05/1.98    spl1_122 | spl1_117),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f338,f1851,f1896])).
% 2.05/1.98  thf(f338,plain,(
% 2.05/1.98    ((barrel @ sK7 @ sK8 @ mactual) = $true) | ((chevy @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f335])).
% 2.05/1.98  thf(f335,plain,(
% 2.05/1.98    (((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))) = $true) | ((chevy @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f333])).
% 2.05/1.98  thf(f2059,plain,(
% 2.05/1.98    spl1_133 | spl1_117),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f340,f1851,f1967])).
% 2.05/1.98  thf(f340,plain,(
% 2.05/1.98    ((chevy @ sK6 @ mactual) = $true) | ($true = (down @ sK7 @ sK9 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f337])).
% 2.05/1.98  thf(f337,plain,(
% 2.05/1.98    (((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)) = $true) | ((chevy @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f335])).
% 2.05/1.98  thf(f2058,plain,(
% 2.05/1.98    spl1_120 | spl1_117),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f339,f1851,f1886])).
% 2.05/1.98  thf(f339,plain,(
% 2.05/1.98    ($true = (in @ sK7 @ sK5 @ mactual)) | ((chevy @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f337])).
% 2.05/1.98  thf(f2057,plain,(
% 2.05/1.98    spl1_130 | spl1_116),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f344,f1846,f1936])).
% 2.05/1.98  thf(f344,plain,(
% 2.05/1.98    ((chevy @ sK8 @ mactual) = $true) | ((car @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f342])).
% 2.05/1.98  thf(f342,plain,(
% 2.05/1.98    ((car @ sK6 @ mactual) = $true) | (((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f319])).
% 2.05/1.98  thf(f319,plain,(
% 2.05/1.98    (((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))) = $true) | (((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f303])).
% 2.05/1.98  thf(f2056,plain,(
% 2.05/1.98    spl1_129 | spl1_116),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f346,f1846,f1931])).
% 2.05/1.98  thf(f346,plain,(
% 2.05/1.98    ((car @ sK6 @ mactual) = $true) | ((car @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f343])).
% 2.05/1.98  thf(f343,plain,(
% 2.05/1.98    ((car @ sK6 @ mactual) = $true) | ($true = ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f342])).
% 2.05/1.98  thf(f2055,plain,(
% 2.05/1.98    spl1_128 | spl1_116),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f348,f1846,f1926])).
% 2.05/1.98  thf(f348,plain,(
% 2.05/1.98    ($true = (white @ sK8 @ mactual)) | ((car @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f345])).
% 2.05/1.98  thf(f345,plain,(
% 2.05/1.98    (((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))) = $true) | ((car @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f343])).
% 2.05/1.98  thf(f2054,plain,(
% 2.05/1.98    spl1_127 | spl1_116),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f350,f1846,f1921])).
% 2.05/1.98  thf(f350,plain,(
% 2.05/1.98    ((car @ sK6 @ mactual) = $true) | ((dirty @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f347])).
% 2.05/1.98  thf(f347,plain,(
% 2.05/1.98    ((car @ sK6 @ mactual) = $true) | (((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f345])).
% 2.05/1.98  thf(f2053,plain,(
% 2.05/1.98    spl1_126 | spl1_116),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f352,f1846,f1916])).
% 2.05/1.98  thf(f352,plain,(
% 2.05/1.98    ((car @ sK6 @ mactual) = $true) | ((old @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f349])).
% 2.05/1.98  thf(f349,plain,(
% 2.05/1.98    (((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))) = $true) | ((car @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f347])).
% 2.05/1.98  thf(f2052,plain,(
% 2.05/1.98    spl1_136 | spl1_116),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f354,f1846,f1983])).
% 2.05/1.98  thf(f354,plain,(
% 2.05/1.98    ((street @ sK9 @ mactual) = $true) | ((car @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f351])).
% 2.05/1.98  thf(f351,plain,(
% 2.05/1.98    (((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) = $true) | ((car @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f349])).
% 2.05/1.98  thf(f2051,plain,(
% 2.05/1.98    spl1_116 | spl1_135),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f356,f1978,f1846])).
% 2.05/1.98  thf(f356,plain,(
% 2.05/1.98    ((way @ sK9 @ mactual) = $true) | ((car @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f353])).
% 2.05/1.98  thf(f353,plain,(
% 2.05/1.98    ((car @ sK6 @ mactual) = $true) | ($true = ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f351])).
% 2.05/1.98  thf(f2050,plain,(
% 2.05/1.98    spl1_116 | spl1_134),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f358,f1973,f1846])).
% 2.05/1.98  thf(f358,plain,(
% 2.05/1.98    ((lonely @ sK9 @ mactual) = $true) | ((car @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f355])).
% 2.05/1.98  thf(f355,plain,(
% 2.05/1.98    ((car @ sK6 @ mactual) = $true) | (((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f353])).
% 2.05/1.98  thf(f2049,plain,(
% 2.05/1.98    spl1_116 | spl1_122),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f360,f1896,f1846])).
% 2.05/1.98  thf(f360,plain,(
% 2.05/1.98    ((car @ sK6 @ mactual) = $true) | ((barrel @ sK7 @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f357])).
% 2.05/1.98  thf(f357,plain,(
% 2.05/1.98    (((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))) = $true) | ((car @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f355])).
% 2.05/1.98  thf(f2048,plain,(
% 2.05/1.98    spl1_133 | spl1_116),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f362,f1846,f1967])).
% 2.05/1.98  thf(f362,plain,(
% 2.05/1.98    ($true = (down @ sK7 @ sK9 @ mactual)) | ((car @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f359])).
% 2.05/1.98  thf(f359,plain,(
% 2.05/1.98    ((car @ sK6 @ mactual) = $true) | (((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f357])).
% 2.05/1.98  thf(f2047,plain,(
% 2.05/1.98    spl1_120 | spl1_116),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f361,f1846,f1886])).
% 2.05/1.98  thf(f361,plain,(
% 2.05/1.98    ((car @ sK6 @ mactual) = $true) | ($true = (in @ sK7 @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f359])).
% 2.05/1.98  thf(f2046,plain,(
% 2.05/1.98    spl1_115 | spl1_130),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f366,f1936,f1841])).
% 2.05/1.98  thf(f366,plain,(
% 2.05/1.98    ((chevy @ sK8 @ mactual) = $true) | ($true = (white @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f364])).
% 2.05/1.98  thf(f364,plain,(
% 2.05/1.98    ((chevy @ sK8 @ mactual) = $true) | (((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f341])).
% 2.05/1.98  thf(f341,plain,(
% 2.05/1.98    (((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))) = $true) | (((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f319])).
% 2.05/1.98  thf(f2045,plain,(
% 2.05/1.98    spl1_130 | spl1_114),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f368,f1836,f1936])).
% 2.05/1.98  thf(f368,plain,(
% 2.05/1.98    ($true = (dirty @ sK6 @ mactual)) | ((chevy @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f365])).
% 2.05/1.98  thf(f365,plain,(
% 2.05/1.98    (((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))) = $true) | ((chevy @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f364])).
% 2.05/1.98  thf(f2044,plain,(
% 2.05/1.98    spl1_130 | spl1_113),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f370,f1831,f1936])).
% 2.05/1.98  thf(f370,plain,(
% 2.05/1.98    ((chevy @ sK8 @ mactual) = $true) | ((old @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f367])).
% 2.05/1.98  thf(f367,plain,(
% 2.05/1.98    ((chevy @ sK8 @ mactual) = $true) | (((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f365])).
% 2.05/1.98  thf(f2043,plain,(
% 2.05/1.98    spl1_130 | spl1_112),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f372,f1826,f1936])).
% 2.05/1.98  thf(f372,plain,(
% 2.05/1.98    ((chevy @ sK8 @ mactual) = $true) | ((barrel @ sK3 @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f369])).
% 2.05/1.98  thf(f369,plain,(
% 2.05/1.98    ($true = ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))) | ((chevy @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f367])).
% 2.05/1.98  thf(f2042,plain,(
% 2.05/1.98    spl1_80 | spl1_130),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f374,f1936,f1665])).
% 2.05/1.98  thf(f374,plain,(
% 2.05/1.98    ((chevy @ sK8 @ mactual) = $true) | ((down @ sK3 @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f371])).
% 2.05/1.98  thf(f371,plain,(
% 2.05/1.98    ($true = ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))) | ((chevy @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f369])).
% 2.05/1.98  thf(f2041,plain,(
% 2.05/1.98    spl1_130 | spl1_79),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f373,f1660,f1936])).
% 2.05/1.98  thf(f373,plain,(
% 2.05/1.98    ((chevy @ sK8 @ mactual) = $true) | ($true = (in @ sK3 @ sK2 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f371])).
% 2.05/1.98  thf(f2040,plain,(
% 2.05/1.98    spl1_129 | spl1_115),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f378,f1841,f1931])).
% 2.05/1.98  thf(f378,plain,(
% 2.05/1.98    ((car @ sK8 @ mactual) = $true) | ($true = (white @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f376])).
% 2.05/1.98  thf(f376,plain,(
% 2.05/1.98    ($true = (white @ sK6 @ mactual)) | ($true = ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f363])).
% 2.05/1.98  thf(f363,plain,(
% 2.05/1.98    (((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))) = $true) | ($true = ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f341])).
% 2.05/1.98  thf(f2039,plain,(
% 2.05/1.98    spl1_115 | spl1_128),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f380,f1926,f1841])).
% 2.05/1.98  thf(f380,plain,(
% 2.05/1.98    ($true = (white @ sK8 @ mactual)) | ($true = (white @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f377])).
% 2.05/1.98  thf(f377,plain,(
% 2.05/1.98    (((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))) = $true) | ($true = (white @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f376])).
% 2.05/1.98  thf(f2038,plain,(
% 2.05/1.98    spl1_127 | spl1_115),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f382,f1841,f1921])).
% 2.05/1.98  thf(f382,plain,(
% 2.05/1.98    ($true = (white @ sK6 @ mactual)) | ((dirty @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f379])).
% 2.05/1.98  thf(f379,plain,(
% 2.05/1.98    (((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))) = $true) | ($true = (white @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f377])).
% 2.05/1.98  thf(f2037,plain,(
% 2.05/1.98    spl1_126 | spl1_115),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f384,f1841,f1916])).
% 2.05/1.98  thf(f384,plain,(
% 2.05/1.98    ((old @ sK8 @ mactual) = $true) | ($true = (white @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f381])).
% 2.05/1.98  thf(f381,plain,(
% 2.05/1.98    ($true = (white @ sK6 @ mactual)) | (((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f379])).
% 2.05/1.98  thf(f2036,plain,(
% 2.05/1.98    spl1_115 | spl1_136),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f386,f1983,f1841])).
% 2.05/1.98  thf(f386,plain,(
% 2.05/1.98    ($true = (white @ sK6 @ mactual)) | ((street @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f383])).
% 2.05/1.98  thf(f383,plain,(
% 2.05/1.98    (((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) = $true) | ($true = (white @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f381])).
% 2.05/1.98  thf(f2035,plain,(
% 2.05/1.98    spl1_115 | spl1_135),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f388,f1978,f1841])).
% 2.05/1.98  thf(f388,plain,(
% 2.05/1.98    ((way @ sK9 @ mactual) = $true) | ($true = (white @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f385])).
% 2.05/1.98  thf(f385,plain,(
% 2.05/1.98    ($true = ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) | ($true = (white @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f383])).
% 2.05/1.98  thf(f2034,plain,(
% 2.05/1.98    spl1_115 | spl1_134),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f390,f1973,f1841])).
% 2.05/1.98  thf(f390,plain,(
% 2.05/1.98    ($true = (white @ sK6 @ mactual)) | ((lonely @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f387])).
% 2.05/1.98  thf(f387,plain,(
% 2.05/1.98    (((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))) = $true) | ($true = (white @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f385])).
% 2.05/1.98  thf(f2033,plain,(
% 2.05/1.98    spl1_115 | spl1_122),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f392,f1896,f1841])).
% 2.05/1.98  thf(f392,plain,(
% 2.05/1.98    ((barrel @ sK7 @ sK8 @ mactual) = $true) | ($true = (white @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f389])).
% 2.05/1.98  thf(f389,plain,(
% 2.05/1.98    (((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))) = $true) | ($true = (white @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f387])).
% 2.05/1.98  thf(f2032,plain,(
% 2.05/1.98    spl1_133 | spl1_115),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f394,f1841,f1967])).
% 2.05/1.98  thf(f394,plain,(
% 2.05/1.98    ($true = (white @ sK6 @ mactual)) | ($true = (down @ sK7 @ sK9 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f391])).
% 2.05/1.98  thf(f391,plain,(
% 2.05/1.98    ($true = (white @ sK6 @ mactual)) | (((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f389])).
% 2.05/1.98  thf(f2031,plain,(
% 2.05/1.98    spl1_115 | spl1_120),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f393,f1886,f1841])).
% 2.05/1.98  thf(f393,plain,(
% 2.05/1.98    ($true = (in @ sK7 @ sK5 @ mactual)) | ($true = (white @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f391])).
% 2.05/1.98  thf(f2030,plain,(
% 2.05/1.98    spl1_114 | spl1_129),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f398,f1931,f1836])).
% 2.05/1.98  thf(f398,plain,(
% 2.05/1.98    ($true = (dirty @ sK6 @ mactual)) | ((car @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f396])).
% 2.05/1.98  thf(f396,plain,(
% 2.05/1.98    ((car @ sK8 @ mactual) = $true) | (((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f375])).
% 2.05/1.98  thf(f375,plain,(
% 2.05/1.98    ($true = ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))) | (((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f363])).
% 2.05/1.98  thf(f2029,plain,(
% 2.05/1.98    spl1_113 | spl1_129),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f400,f1931,f1831])).
% 2.05/1.98  thf(f400,plain,(
% 2.05/1.98    ((car @ sK8 @ mactual) = $true) | ((old @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f397])).
% 2.05/1.98  thf(f397,plain,(
% 2.05/1.98    (((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))) = $true) | ((car @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f396])).
% 2.05/1.98  thf(f2028,plain,(
% 2.05/1.98    spl1_129 | spl1_112),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f402,f1826,f1931])).
% 2.05/1.98  thf(f402,plain,(
% 2.05/1.98    ((car @ sK8 @ mactual) = $true) | ((barrel @ sK3 @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f399])).
% 2.05/1.98  thf(f399,plain,(
% 2.05/1.98    ($true = ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))) | ((car @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f397])).
% 2.05/1.98  thf(f2027,plain,(
% 2.05/1.98    spl1_80 | spl1_129),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f404,f1931,f1665])).
% 2.05/1.98  thf(f404,plain,(
% 2.05/1.98    ((car @ sK8 @ mactual) = $true) | ((down @ sK3 @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f401])).
% 2.05/1.98  thf(f401,plain,(
% 2.05/1.98    ((car @ sK8 @ mactual) = $true) | ($true = ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f399])).
% 2.05/1.98  thf(f2026,plain,(
% 2.05/1.98    spl1_79 | spl1_129),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f403,f1931,f1660])).
% 2.05/1.98  thf(f403,plain,(
% 2.05/1.98    ($true = (in @ sK3 @ sK2 @ mactual)) | ((car @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f401])).
% 2.05/1.98  thf(f2025,plain,(
% 2.05/1.98    spl1_128 | spl1_114),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f408,f1836,f1926])).
% 2.05/1.98  thf(f408,plain,(
% 2.05/1.98    ($true = (white @ sK8 @ mactual)) | ($true = (dirty @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f406])).
% 2.05/1.98  thf(f406,plain,(
% 2.05/1.98    ($true = (white @ sK8 @ mactual)) | (((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f395])).
% 2.05/1.98  thf(f395,plain,(
% 2.05/1.98    (((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))) = $true) | (((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f375])).
% 2.05/1.98  thf(f2024,plain,(
% 2.05/1.98    spl1_128 | spl1_113),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f410,f1831,f1926])).
% 2.05/1.98  thf(f410,plain,(
% 2.05/1.98    ((old @ sK6 @ mactual) = $true) | ($true = (white @ sK8 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f407])).
% 2.05/1.98  thf(f407,plain,(
% 2.05/1.98    ($true = (white @ sK8 @ mactual)) | (((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f406])).
% 2.05/1.98  thf(f2023,plain,(
% 2.05/1.98    spl1_128 | spl1_112),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f412,f1826,f1926])).
% 2.05/1.98  thf(f412,plain,(
% 2.05/1.98    ((barrel @ sK3 @ sK6 @ mactual) = $true) | ($true = (white @ sK8 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f409])).
% 2.05/1.98  thf(f409,plain,(
% 2.05/1.98    ($true = (white @ sK8 @ mactual)) | ($true = ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f407])).
% 2.05/1.98  thf(f2022,plain,(
% 2.05/1.98    spl1_128 | spl1_80),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f414,f1665,f1926])).
% 2.05/1.98  thf(f414,plain,(
% 2.05/1.98    ($true = (white @ sK8 @ mactual)) | ((down @ sK3 @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f411])).
% 2.05/1.98  thf(f411,plain,(
% 2.05/1.98    ($true = ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))) | ($true = (white @ sK8 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f409])).
% 2.05/1.98  thf(f2021,plain,(
% 2.05/1.98    spl1_128 | spl1_79),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f413,f1660,f1926])).
% 2.05/1.98  thf(f413,plain,(
% 2.05/1.98    ($true = (white @ sK8 @ mactual)) | ($true = (in @ sK3 @ sK2 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f411])).
% 2.05/1.98  thf(f2020,plain,(
% 2.05/1.98    spl1_127 | spl1_114),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f418,f1836,f1921])).
% 2.05/1.98  thf(f418,plain,(
% 2.05/1.98    ((dirty @ sK8 @ mactual) = $true) | ($true = (dirty @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f416])).
% 2.05/1.98  thf(f416,plain,(
% 2.05/1.98    ((dirty @ sK8 @ mactual) = $true) | (((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f405])).
% 2.05/1.98  thf(f405,plain,(
% 2.05/1.98    (((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))) = $true) | (((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f395])).
% 2.05/1.98  thf(f2019,plain,(
% 2.05/1.98    spl1_113 | spl1_127),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f420,f1921,f1831])).
% 2.05/1.98  thf(f420,plain,(
% 2.05/1.98    ((old @ sK6 @ mactual) = $true) | ((dirty @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f417])).
% 2.05/1.98  thf(f417,plain,(
% 2.05/1.98    (((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))) = $true) | ((dirty @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f416])).
% 2.05/1.98  thf(f2018,plain,(
% 2.05/1.98    spl1_127 | spl1_112),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f422,f1826,f1921])).
% 2.05/1.98  thf(f422,plain,(
% 2.05/1.98    ((barrel @ sK3 @ sK6 @ mactual) = $true) | ((dirty @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f419])).
% 2.05/1.98  thf(f419,plain,(
% 2.05/1.98    ($true = ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))) | ((dirty @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f417])).
% 2.05/1.98  thf(f2017,plain,(
% 2.05/1.98    spl1_127 | spl1_80),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f424,f1665,f1921])).
% 2.05/1.98  thf(f424,plain,(
% 2.05/1.98    ((dirty @ sK8 @ mactual) = $true) | ((down @ sK3 @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f421])).
% 2.05/1.98  thf(f421,plain,(
% 2.05/1.98    ($true = ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))) | ((dirty @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f419])).
% 2.05/1.98  thf(f2016,plain,(
% 2.05/1.98    spl1_79 | spl1_127),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f423,f1921,f1660])).
% 2.05/1.98  thf(f423,plain,(
% 2.05/1.98    ((dirty @ sK8 @ mactual) = $true) | ($true = (in @ sK3 @ sK2 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f421])).
% 2.05/1.98  thf(f2015,plain,(
% 2.05/1.98    spl1_114 | spl1_126),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f428,f1916,f1836])).
% 2.05/1.98  thf(f428,plain,(
% 2.05/1.98    ($true = (dirty @ sK6 @ mactual)) | ((old @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f426])).
% 2.05/1.98  thf(f426,plain,(
% 2.05/1.98    ($true = (dirty @ sK6 @ mactual)) | (((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f415])).
% 2.05/1.98  thf(f415,plain,(
% 2.05/1.98    (((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))) = $true) | (((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f405])).
% 2.05/1.98  thf(f2014,plain,(
% 2.05/1.98    spl1_136 | spl1_114),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f430,f1836,f1983])).
% 2.05/1.98  thf(f430,plain,(
% 2.05/1.98    ((street @ sK9 @ mactual) = $true) | ($true = (dirty @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f427])).
% 2.05/1.98  thf(f427,plain,(
% 2.05/1.98    (((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) = $true) | ($true = (dirty @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f426])).
% 2.05/1.98  thf(f2013,plain,(
% 2.05/1.98    spl1_114 | spl1_135),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f432,f1978,f1836])).
% 2.05/1.98  thf(f432,plain,(
% 2.05/1.98    ($true = (dirty @ sK6 @ mactual)) | ((way @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f429])).
% 2.05/1.98  thf(f429,plain,(
% 2.05/1.98    ($true = ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) | ($true = (dirty @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f427])).
% 2.05/1.98  thf(f2012,plain,(
% 2.05/1.98    spl1_134 | spl1_114),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f434,f1836,f1973])).
% 2.05/1.98  thf(f434,plain,(
% 2.05/1.98    ($true = (dirty @ sK6 @ mactual)) | ((lonely @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f431])).
% 2.05/1.98  thf(f431,plain,(
% 2.05/1.98    (((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))) = $true) | ($true = (dirty @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f429])).
% 2.05/1.98  thf(f2011,plain,(
% 2.05/1.98    spl1_114 | spl1_122),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f436,f1896,f1836])).
% 2.05/1.98  thf(f436,plain,(
% 2.05/1.98    ((barrel @ sK7 @ sK8 @ mactual) = $true) | ($true = (dirty @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f433])).
% 2.05/1.98  thf(f433,plain,(
% 2.05/1.98    ($true = (dirty @ sK6 @ mactual)) | (((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f431])).
% 2.05/1.98  thf(f2010,plain,(
% 2.05/1.98    spl1_133 | spl1_114),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f438,f1836,f1967])).
% 2.05/1.98  thf(f438,plain,(
% 2.05/1.98    ($true = (dirty @ sK6 @ mactual)) | ($true = (down @ sK7 @ sK9 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f435])).
% 2.05/1.98  thf(f435,plain,(
% 2.05/1.98    (((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)) = $true) | ($true = (dirty @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f433])).
% 2.05/1.98  thf(f2009,plain,(
% 2.05/1.98    spl1_114 | spl1_120),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f437,f1886,f1836])).
% 2.05/1.98  thf(f437,plain,(
% 2.05/1.98    ($true = (in @ sK7 @ sK5 @ mactual)) | ($true = (dirty @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f435])).
% 2.05/1.98  thf(f2008,plain,(
% 2.05/1.98    spl1_126 | spl1_113),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f442,f1831,f1916])).
% 2.05/1.98  thf(f442,plain,(
% 2.05/1.98    ((old @ sK6 @ mactual) = $true) | ((old @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f440])).
% 2.05/1.98  thf(f440,plain,(
% 2.05/1.98    ((old @ sK8 @ mactual) = $true) | (((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f425])).
% 2.05/1.98  thf(f425,plain,(
% 2.05/1.98    (((old @ sK8 @ mactual) & ((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))) = $true) | (((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f415])).
% 2.05/1.98  thf(f2007,plain,(
% 2.05/1.98    spl1_112 | spl1_126),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f444,f1916,f1826])).
% 2.05/1.98  thf(f444,plain,(
% 2.05/1.98    ((barrel @ sK3 @ sK6 @ mactual) = $true) | ((old @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f441])).
% 2.05/1.98  thf(f441,plain,(
% 2.05/1.98    ($true = ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))) | ((old @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f440])).
% 2.05/1.98  thf(f2006,plain,(
% 2.05/1.98    spl1_126 | spl1_80),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f446,f1665,f1916])).
% 2.05/1.98  thf(f446,plain,(
% 2.05/1.98    ((down @ sK3 @ sK4 @ mactual) = $true) | ((old @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f443])).
% 2.05/1.98  thf(f443,plain,(
% 2.05/1.98    ($true = ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))) | ((old @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f441])).
% 2.05/1.98  thf(f2005,plain,(
% 2.05/1.98    spl1_79 | spl1_126),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f445,f1916,f1660])).
% 2.05/1.98  thf(f445,plain,(
% 2.05/1.98    ($true = (in @ sK3 @ sK2 @ mactual)) | ((old @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f443])).
% 2.05/1.98  thf(f2004,plain,(
% 2.05/1.98    spl1_113 | spl1_136),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f450,f1983,f1831])).
% 2.05/1.98  thf(f450,plain,(
% 2.05/1.98    ((street @ sK9 @ mactual) = $true) | ((old @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f448])).
% 2.05/1.98  thf(f448,plain,(
% 2.05/1.98    ((old @ sK6 @ mactual) = $true) | (((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f439])).
% 2.05/1.98  thf(f439,plain,(
% 2.05/1.98    (((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))) = $true) | (((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f425])).
% 2.05/1.98  thf(f2003,plain,(
% 2.05/1.98    spl1_113 | spl1_135),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f452,f1978,f1831])).
% 2.05/1.98  thf(f452,plain,(
% 2.05/1.98    ((way @ sK9 @ mactual) = $true) | ((old @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f449])).
% 2.05/1.98  thf(f449,plain,(
% 2.05/1.98    ($true = ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) | ((old @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f448])).
% 2.05/1.98  thf(f2002,plain,(
% 2.05/1.98    spl1_134 | spl1_113),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f454,f1831,f1973])).
% 2.05/1.98  thf(f454,plain,(
% 2.05/1.98    ((lonely @ sK9 @ mactual) = $true) | ((old @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f451])).
% 2.05/1.98  thf(f451,plain,(
% 2.05/1.98    (((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))) = $true) | ((old @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f449])).
% 2.05/1.98  thf(f2001,plain,(
% 2.05/1.98    spl1_113 | spl1_122),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f456,f1896,f1831])).
% 2.05/1.98  thf(f456,plain,(
% 2.05/1.98    ((old @ sK6 @ mactual) = $true) | ((barrel @ sK7 @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f453])).
% 2.05/1.98  thf(f453,plain,(
% 2.05/1.98    ((old @ sK6 @ mactual) = $true) | (((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f451])).
% 2.05/1.98  thf(f2000,plain,(
% 2.05/1.98    spl1_133 | spl1_113),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f458,f1831,f1967])).
% 2.05/1.98  thf(f458,plain,(
% 2.05/1.98    ((old @ sK6 @ mactual) = $true) | ($true = (down @ sK7 @ sK9 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f455])).
% 2.05/1.98  thf(f455,plain,(
% 2.05/1.98    ((old @ sK6 @ mactual) = $true) | (((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f453])).
% 2.05/1.98  thf(f1999,plain,(
% 2.05/1.98    spl1_113 | spl1_120),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f457,f1886,f1831])).
% 2.05/1.98  thf(f457,plain,(
% 2.05/1.98    ($true = (in @ sK7 @ sK5 @ mactual)) | ((old @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f455])).
% 2.05/1.98  thf(f1998,plain,(
% 2.05/1.98    spl1_112 | spl1_136),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f462,f1983,f1826])).
% 2.05/1.98  thf(f462,plain,(
% 2.05/1.98    ((street @ sK9 @ mactual) = $true) | ((barrel @ sK3 @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f460])).
% 2.05/1.98  thf(f460,plain,(
% 2.05/1.98    (((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) = $true) | ((barrel @ sK3 @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f447])).
% 2.05/1.98  thf(f447,plain,(
% 2.05/1.98    ($true = ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))) | (((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f439])).
% 2.05/1.98  thf(f1997,plain,(
% 2.05/1.98    spl1_135 | spl1_112),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f464,f1826,f1978])).
% 2.05/1.98  thf(f464,plain,(
% 2.05/1.98    ((way @ sK9 @ mactual) = $true) | ((barrel @ sK3 @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f461])).
% 2.05/1.98  thf(f461,plain,(
% 2.05/1.98    ($true = ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) | ((barrel @ sK3 @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f460])).
% 2.05/1.98  thf(f1996,plain,(
% 2.05/1.98    spl1_134 | spl1_112),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f466,f1826,f1973])).
% 2.05/1.98  thf(f466,plain,(
% 2.05/1.98    ((barrel @ sK3 @ sK6 @ mactual) = $true) | ((lonely @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f463])).
% 2.05/1.98  thf(f463,plain,(
% 2.05/1.98    ((barrel @ sK3 @ sK6 @ mactual) = $true) | (((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f461])).
% 2.05/1.98  thf(f1995,plain,(
% 2.05/1.98    spl1_122 | spl1_112),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f468,f1826,f1896])).
% 2.05/1.98  thf(f468,plain,(
% 2.05/1.98    ((barrel @ sK3 @ sK6 @ mactual) = $true) | ((barrel @ sK7 @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f465])).
% 2.05/1.98  thf(f465,plain,(
% 2.05/1.98    (((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))) = $true) | ((barrel @ sK3 @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f463])).
% 2.05/1.98  thf(f1994,plain,(
% 2.05/1.98    spl1_112 | spl1_133),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f470,f1967,f1826])).
% 2.05/1.98  thf(f470,plain,(
% 2.05/1.98    ($true = (down @ sK7 @ sK9 @ mactual)) | ((barrel @ sK3 @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f467])).
% 2.05/1.98  thf(f467,plain,(
% 2.05/1.98    (((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)) = $true) | ((barrel @ sK3 @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f465])).
% 2.05/1.98  thf(f1993,plain,(
% 2.05/1.98    spl1_112 | spl1_120),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f469,f1886,f1826])).
% 2.05/1.98  thf(f469,plain,(
% 2.05/1.98    ((barrel @ sK3 @ sK6 @ mactual) = $true) | ($true = (in @ sK7 @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f467])).
% 2.05/1.98  thf(f1992,plain,(
% 2.05/1.98    spl1_80 | spl1_136),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f474,f1983,f1665])).
% 2.05/1.98  thf(f474,plain,(
% 2.05/1.98    ((street @ sK9 @ mactual) = $true) | ((down @ sK3 @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f472])).
% 2.05/1.98  thf(f472,plain,(
% 2.05/1.98    (((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) = $true) | ((down @ sK3 @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f459])).
% 2.05/1.98  thf(f459,plain,(
% 2.05/1.98    ($true = ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))) | (((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f447])).
% 2.05/1.98  thf(f1991,plain,(
% 2.05/1.98    spl1_135 | spl1_80),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f476,f1665,f1978])).
% 2.05/1.98  thf(f476,plain,(
% 2.05/1.98    ((way @ sK9 @ mactual) = $true) | ((down @ sK3 @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f473])).
% 2.05/1.98  thf(f473,plain,(
% 2.05/1.98    ($true = ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) | ((down @ sK3 @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f472])).
% 2.05/1.98  thf(f1990,plain,(
% 2.05/1.98    spl1_134 | spl1_80),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f478,f1665,f1973])).
% 2.05/1.98  thf(f478,plain,(
% 2.05/1.98    ((down @ sK3 @ sK4 @ mactual) = $true) | ((lonely @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f475])).
% 2.05/1.98  thf(f475,plain,(
% 2.05/1.98    ((down @ sK3 @ sK4 @ mactual) = $true) | (((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f473])).
% 2.05/1.98  thf(f1989,plain,(
% 2.05/1.98    spl1_122 | spl1_80),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f480,f1665,f1896])).
% 2.05/1.98  thf(f480,plain,(
% 2.05/1.98    ((down @ sK3 @ sK4 @ mactual) = $true) | ((barrel @ sK7 @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f477])).
% 2.05/1.98  thf(f477,plain,(
% 2.05/1.98    ((down @ sK3 @ sK4 @ mactual) = $true) | (((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f475])).
% 2.05/1.98  thf(f1988,plain,(
% 2.05/1.98    spl1_133 | spl1_80),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f482,f1665,f1967])).
% 2.05/1.98  thf(f482,plain,(
% 2.05/1.98    ((down @ sK3 @ sK4 @ mactual) = $true) | ($true = (down @ sK7 @ sK9 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f479])).
% 2.05/1.98  thf(f479,plain,(
% 2.05/1.98    ((down @ sK3 @ sK4 @ mactual) = $true) | (((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f477])).
% 2.05/1.98  thf(f1987,plain,(
% 2.05/1.98    spl1_80 | spl1_120),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f481,f1886,f1665])).
% 2.05/1.98  thf(f481,plain,(
% 2.05/1.98    ((down @ sK3 @ sK4 @ mactual) = $true) | ($true = (in @ sK7 @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f479])).
% 2.05/1.98  thf(f1986,plain,(
% 2.05/1.98    spl1_136 | spl1_79),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f484,f1660,f1983])).
% 2.05/1.98  thf(f484,plain,(
% 2.05/1.98    ((street @ sK9 @ mactual) = $true) | ($true = (in @ sK3 @ sK2 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f471])).
% 2.05/1.98  thf(f471,plain,(
% 2.05/1.98    ($true = (in @ sK3 @ sK2 @ mactual)) | (((street @ sK9 @ mactual) & ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f459])).
% 2.05/1.98  thf(f1981,plain,(
% 2.05/1.98    spl1_135 | spl1_79),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f486,f1660,f1978])).
% 2.05/1.98  thf(f486,plain,(
% 2.05/1.98    ((way @ sK9 @ mactual) = $true) | ($true = (in @ sK3 @ sK2 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f483])).
% 2.05/1.98  thf(f483,plain,(
% 2.05/1.98    ($true = ((way @ sK9 @ mactual) & ((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) | ($true = (in @ sK3 @ sK2 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f471])).
% 2.05/1.98  thf(f1976,plain,(
% 2.05/1.98    spl1_79 | spl1_134),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f488,f1973,f1660])).
% 2.05/1.98  thf(f488,plain,(
% 2.05/1.98    ($true = (in @ sK3 @ sK2 @ mactual)) | ((lonely @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f485])).
% 2.05/1.98  thf(f485,plain,(
% 2.05/1.98    ($true = (in @ sK3 @ sK2 @ mactual)) | (((lonely @ sK9 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f483])).
% 2.05/1.98  thf(f1971,plain,(
% 2.05/1.98    spl1_79 | spl1_122),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f490,f1896,f1660])).
% 2.05/1.98  thf(f490,plain,(
% 2.05/1.98    ($true = (in @ sK3 @ sK2 @ mactual)) | ((barrel @ sK7 @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f487])).
% 2.05/1.98  thf(f487,plain,(
% 2.05/1.98    ($true = (in @ sK3 @ sK2 @ mactual)) | (((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f485])).
% 2.05/1.98  thf(f1970,plain,(
% 2.05/1.98    spl1_133 | spl1_79),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f492,f1660,f1967])).
% 2.05/1.98  thf(f492,plain,(
% 2.05/1.98    ($true = (down @ sK7 @ sK9 @ mactual)) | ($true = (in @ sK3 @ sK2 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f489])).
% 2.05/1.98  thf(f489,plain,(
% 2.05/1.98    (((down @ sK7 @ sK9 @ mactual) & (in @ sK7 @ sK5 @ mactual)) = $true) | ($true = (in @ sK3 @ sK2 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f487])).
% 2.05/1.98  thf(f1965,plain,(
% 2.05/1.98    spl1_120 | spl1_79),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f491,f1660,f1886])).
% 2.05/1.98  thf(f491,plain,(
% 2.05/1.98    ($true = (in @ sK3 @ sK2 @ mactual)) | ($true = (in @ sK7 @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f489])).
% 2.05/1.98  thf(f1964,plain,(
% 2.05/1.98    spl1_132 | spl1_92),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f494,f1725,f1948])).
% 2.05/1.98  thf(f494,plain,(
% 2.05/1.98    ((hollywood @ sK2 @ mactual) = $true) | ((eiw_di @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f101])).
% 2.05/1.98  thf(f101,plain,(
% 2.05/1.98    ($true = ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))))))))))) | ((eiw_di @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f100])).
% 2.05/1.98  thf(f1963,plain,(
% 2.05/1.98    spl1_91 | spl1_132),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f496,f1948,f1720])).
% 2.05/1.98  thf(f496,plain,(
% 2.05/1.98    ((eiw_di @ sK9 @ mactual) = $true) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f493])).
% 2.05/1.98  thf(f493,plain,(
% 2.05/1.98    ($true = ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) | ((eiw_di @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f101])).
% 2.05/1.98  thf(f1962,plain,(
% 2.05/1.98    spl1_132 | spl1_90),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f498,f1715,f1948])).
% 2.05/1.98  thf(f498,plain,(
% 2.05/1.98    ((event @ sK3 @ mactual) = $true) | ((eiw_di @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f495])).
% 2.05/1.98  thf(f495,plain,(
% 2.05/1.98    ((eiw_di @ sK9 @ mactual) = $true) | (((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f493])).
% 2.05/1.98  thf(f1961,plain,(
% 2.05/1.98    spl1_89 | spl1_132),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f500,f1948,f1710])).
% 2.05/1.98  thf(f500,plain,(
% 2.05/1.98    ((eiw_di @ sK9 @ mactual) = $true) | ((street @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f497])).
% 2.05/1.98  thf(f497,plain,(
% 2.05/1.98    ((eiw_di @ sK9 @ mactual) = $true) | (((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f495])).
% 2.05/1.98  thf(f1960,plain,(
% 2.05/1.98    spl1_132 | spl1_88),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f502,f1705,f1948])).
% 2.05/1.98  thf(f502,plain,(
% 2.05/1.98    ((way @ sK4 @ mactual) = $true) | ((eiw_di @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f499])).
% 2.05/1.98  thf(f499,plain,(
% 2.05/1.98    (((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))) = $true) | ((eiw_di @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f497])).
% 2.05/1.98  thf(f1959,plain,(
% 2.05/1.98    spl1_87 | spl1_132),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f504,f1948,f1700])).
% 2.05/1.98  thf(f504,plain,(
% 2.05/1.98    ((lonely @ sK4 @ mactual) = $true) | ((eiw_di @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f501])).
% 2.05/1.98  thf(f501,plain,(
% 2.05/1.98    (((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))))) = $true) | ((eiw_di @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f499])).
% 2.05/1.98  thf(f1958,plain,(
% 2.05/1.98    spl1_117 | spl1_132),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f506,f1948,f1851])).
% 2.05/1.98  thf(f506,plain,(
% 2.05/1.98    ((chevy @ sK6 @ mactual) = $true) | ((eiw_di @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f503])).
% 2.05/1.98  thf(f503,plain,(
% 2.05/1.98    (((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))) = $true) | ((eiw_di @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f501])).
% 2.05/1.98  thf(f1957,plain,(
% 2.05/1.98    spl1_116 | spl1_132),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f508,f1948,f1846])).
% 2.05/1.98  thf(f508,plain,(
% 2.05/1.98    ((eiw_di @ sK9 @ mactual) = $true) | ((car @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f505])).
% 2.05/1.98  thf(f505,plain,(
% 2.05/1.98    (((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))) = $true) | ((eiw_di @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f503])).
% 2.05/1.98  thf(f1956,plain,(
% 2.05/1.98    spl1_115 | spl1_132),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f510,f1948,f1841])).
% 2.05/1.98  thf(f510,plain,(
% 2.05/1.98    ($true = (white @ sK6 @ mactual)) | ((eiw_di @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f507])).
% 2.05/1.98  thf(f507,plain,(
% 2.05/1.98    ((eiw_di @ sK9 @ mactual) = $true) | (((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f505])).
% 2.05/1.98  thf(f1955,plain,(
% 2.05/1.98    spl1_114 | spl1_132),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f512,f1948,f1836])).
% 2.05/1.98  thf(f512,plain,(
% 2.05/1.98    ((eiw_di @ sK9 @ mactual) = $true) | ($true = (dirty @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f509])).
% 2.05/1.98  thf(f509,plain,(
% 2.05/1.98    (((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))) = $true) | ((eiw_di @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f507])).
% 2.05/1.98  thf(f1954,plain,(
% 2.05/1.98    spl1_132 | spl1_113),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f514,f1831,f1948])).
% 2.05/1.98  thf(f514,plain,(
% 2.05/1.98    ((old @ sK6 @ mactual) = $true) | ((eiw_di @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f511])).
% 2.05/1.98  thf(f511,plain,(
% 2.05/1.98    (((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))) = $true) | ((eiw_di @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f509])).
% 2.05/1.98  thf(f1953,plain,(
% 2.05/1.98    spl1_132 | spl1_112),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f516,f1826,f1948])).
% 2.05/1.98  thf(f516,plain,(
% 2.05/1.98    ((eiw_di @ sK9 @ mactual) = $true) | ((barrel @ sK3 @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f513])).
% 2.05/1.98  thf(f513,plain,(
% 2.05/1.98    ($true = ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))) | ((eiw_di @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f511])).
% 2.05/1.98  thf(f1952,plain,(
% 2.05/1.98    spl1_132 | spl1_80),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f518,f1665,f1948])).
% 2.05/1.98  thf(f518,plain,(
% 2.05/1.98    ((eiw_di @ sK9 @ mactual) = $true) | ((down @ sK3 @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f515])).
% 2.05/1.98  thf(f515,plain,(
% 2.05/1.98    ($true = ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))) | ((eiw_di @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f513])).
% 2.05/1.98  thf(f1951,plain,(
% 2.05/1.98    spl1_132 | spl1_79),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f517,f1660,f1948])).
% 2.05/1.98  thf(f517,plain,(
% 2.05/1.98    ($true = (in @ sK3 @ sK2 @ mactual)) | ((eiw_di @ sK9 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f515])).
% 2.05/1.98  thf(f1946,plain,(
% 2.05/1.98    spl1_111 | spl1_109),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f524,f1810,f1819])).
% 2.05/1.98  thf(f524,plain,(
% 2.05/1.98    ((eiw_di @ sK6 @ mactual) = $true) | ($true = (hollywood @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f522])).
% 2.05/1.98  thf(f522,plain,(
% 2.05/1.98    (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK10 @ mactual) & ((way @ sK10 @ mactual) & ((lonely @ sK10 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK10 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))) = $true) | ((eiw_di @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f520])).
% 2.05/1.98  thf(f520,plain,(
% 2.05/1.98    ((((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK10 @ mactual) & ((way @ sK10 @ mactual) & ((lonely @ sK10 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK10 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))) & (eiw_di @ sK10 @ mactual)) = $true) | ((eiw_di @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f519])).
% 2.05/1.98  thf(f519,plain,(
% 2.05/1.98    ((eiw_di @ sK6 @ mactual) = $true) | ($true = ((^[Y0 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ Y0 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual))) @ sK10))),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f97])).
% 2.05/1.98  thf(f97,plain,(
% 2.05/1.98    ((eiw_di @ sK6 @ mactual) = $true) | ($true = (?? @ $i @ (^[Y0 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ Y0 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual)))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f96])).
% 2.05/1.98  thf(f1945,plain,(
% 2.05/1.98    spl1_108 | spl1_111),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f526,f1819,f1805])).
% 2.05/1.98  thf(f526,plain,(
% 2.05/1.98    ((eiw_di @ sK6 @ mactual) = $true) | ((city @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f523])).
% 2.05/1.98  thf(f523,plain,(
% 2.05/1.98    (((city @ sK5 @ mactual) & ((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK10 @ mactual) & ((way @ sK10 @ mactual) & ((lonely @ sK10 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK10 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))))) = $true) | ((eiw_di @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f522])).
% 2.05/1.98  thf(f1944,plain,(
% 2.05/1.98    spl1_111 | spl1_131),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f528,f1941,f1819])).
% 2.05/1.98  thf(f528,plain,(
% 2.05/1.98    ((eiw_di @ sK6 @ mactual) = $true) | ((event @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f525])).
% 2.05/1.98  thf(f525,plain,(
% 2.05/1.98    (((event @ sK7 @ mactual) & ((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK10 @ mactual) & ((way @ sK10 @ mactual) & ((lonely @ sK10 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK10 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))))) = $true) | ((eiw_di @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f523])).
% 2.05/1.98  thf(f1939,plain,(
% 2.05/1.98    spl1_111 | spl1_130),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f530,f1936,f1819])).
% 2.05/1.98  thf(f530,plain,(
% 2.05/1.98    ((chevy @ sK8 @ mactual) = $true) | ((eiw_di @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f527])).
% 2.05/1.98  thf(f527,plain,(
% 2.05/1.98    (((chevy @ sK8 @ mactual) & ((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK10 @ mactual) & ((way @ sK10 @ mactual) & ((lonely @ sK10 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK10 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))))) = $true) | ((eiw_di @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f525])).
% 2.05/1.98  thf(f1934,plain,(
% 2.05/1.98    spl1_111 | spl1_129),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f532,f1931,f1819])).
% 2.05/1.98  thf(f532,plain,(
% 2.05/1.98    ((car @ sK8 @ mactual) = $true) | ((eiw_di @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f529])).
% 2.05/1.98  thf(f529,plain,(
% 2.05/1.98    ((eiw_di @ sK6 @ mactual) = $true) | (((car @ sK8 @ mactual) & ((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK10 @ mactual) & ((way @ sK10 @ mactual) & ((lonely @ sK10 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK10 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f527])).
% 2.05/1.98  thf(f1929,plain,(
% 2.05/1.98    spl1_128 | spl1_111),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f534,f1819,f1926])).
% 2.05/1.98  thf(f534,plain,(
% 2.05/1.98    ($true = (white @ sK8 @ mactual)) | ((eiw_di @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f531])).
% 2.05/1.98  thf(f531,plain,(
% 2.05/1.98    ((eiw_di @ sK6 @ mactual) = $true) | (((white @ sK8 @ mactual) & ((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK10 @ mactual) & ((way @ sK10 @ mactual) & ((lonely @ sK10 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK10 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f529])).
% 2.05/1.98  thf(f1924,plain,(
% 2.05/1.98    spl1_127 | spl1_111),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f536,f1819,f1921])).
% 2.05/1.98  thf(f536,plain,(
% 2.05/1.98    ((dirty @ sK8 @ mactual) = $true) | ((eiw_di @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f533])).
% 2.05/1.98  thf(f533,plain,(
% 2.05/1.98    (((dirty @ sK8 @ mactual) & ((old @ sK8 @ mactual) & ((street @ sK10 @ mactual) & ((way @ sK10 @ mactual) & ((lonely @ sK10 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK10 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))))) = $true) | ((eiw_di @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f531])).
% 2.05/1.98  thf(f1919,plain,(
% 2.05/1.98    spl1_126 | spl1_111),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f538,f1819,f1916])).
% 2.05/1.98  thf(f538,plain,(
% 2.05/1.98    ((eiw_di @ sK6 @ mactual) = $true) | ((old @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f535])).
% 2.05/1.98  thf(f535,plain,(
% 2.05/1.98    (((old @ sK8 @ mactual) & ((street @ sK10 @ mactual) & ((way @ sK10 @ mactual) & ((lonely @ sK10 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK10 @ mactual) & (in @ sK7 @ sK5 @ mactual))))))) = $true) | ((eiw_di @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f533])).
% 2.05/1.98  thf(f1914,plain,(
% 2.05/1.98    spl1_111 | spl1_125),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f540,f1911,f1819])).
% 2.05/1.98  thf(f540,plain,(
% 2.05/1.98    ((street @ sK10 @ mactual) = $true) | ((eiw_di @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f537])).
% 2.05/1.98  thf(f537,plain,(
% 2.05/1.98    ((eiw_di @ sK6 @ mactual) = $true) | (((street @ sK10 @ mactual) & ((way @ sK10 @ mactual) & ((lonely @ sK10 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK10 @ mactual) & (in @ sK7 @ sK5 @ mactual)))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f535])).
% 2.05/1.98  thf(f1909,plain,(
% 2.05/1.98    spl1_124 | spl1_111),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f542,f1819,f1906])).
% 2.05/1.98  thf(f542,plain,(
% 2.05/1.98    ((way @ sK10 @ mactual) = $true) | ((eiw_di @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f539])).
% 2.05/1.98  thf(f539,plain,(
% 2.05/1.98    ((eiw_di @ sK6 @ mactual) = $true) | (((way @ sK10 @ mactual) & ((lonely @ sK10 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK10 @ mactual) & (in @ sK7 @ sK5 @ mactual))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f537])).
% 2.05/1.98  thf(f1904,plain,(
% 2.05/1.98    spl1_123 | spl1_111),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f544,f1819,f1901])).
% 2.05/1.98  thf(f544,plain,(
% 2.05/1.98    ((eiw_di @ sK6 @ mactual) = $true) | ((lonely @ sK10 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f541])).
% 2.05/1.98  thf(f541,plain,(
% 2.05/1.98    (((lonely @ sK10 @ mactual) & ((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK10 @ mactual) & (in @ sK7 @ sK5 @ mactual)))) = $true) | ((eiw_di @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f539])).
% 2.05/1.98  thf(f1899,plain,(
% 2.05/1.98    spl1_122 | spl1_111),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f546,f1819,f1896])).
% 2.05/1.98  thf(f546,plain,(
% 2.05/1.98    ((eiw_di @ sK6 @ mactual) = $true) | ((barrel @ sK7 @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f543])).
% 2.05/1.98  thf(f543,plain,(
% 2.05/1.98    ((eiw_di @ sK6 @ mactual) = $true) | (((barrel @ sK7 @ sK8 @ mactual) & ((down @ sK7 @ sK10 @ mactual) & (in @ sK7 @ sK5 @ mactual))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f541])).
% 2.05/1.98  thf(f1894,plain,(
% 2.05/1.98    spl1_121 | spl1_111),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f548,f1819,f1891])).
% 2.05/1.98  thf(f548,plain,(
% 2.05/1.98    ((down @ sK7 @ sK10 @ mactual) = $true) | ((eiw_di @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f545])).
% 2.05/1.98  thf(f545,plain,(
% 2.05/1.98    (((down @ sK7 @ sK10 @ mactual) & (in @ sK7 @ sK5 @ mactual)) = $true) | ((eiw_di @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f543])).
% 2.05/1.98  thf(f1889,plain,(
% 2.05/1.98    spl1_111 | spl1_120),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f547,f1886,f1819])).
% 2.05/1.98  thf(f547,plain,(
% 2.05/1.98    ((eiw_di @ sK6 @ mactual) = $true) | ($true = (in @ sK7 @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f545])).
% 2.05/1.98  thf(f1884,plain,(
% 2.05/1.98    spl1_119 | spl1_111),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f521,f1819,f1881])).
% 2.05/1.98  thf(f521,plain,(
% 2.05/1.98    ((eiw_di @ sK6 @ mactual) = $true) | ((eiw_di @ sK10 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f520])).
% 2.05/1.98  thf(f1879,plain,(
% 2.05/1.98    spl1_118 | spl1_92),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f552,f1725,f1862])).
% 2.05/1.98  thf(f552,plain,(
% 2.05/1.98    ((eiw_di @ sK8 @ mactual) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f550])).
% 2.05/1.98  thf(f550,plain,(
% 2.05/1.98    ($true = ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))))))))))) | ((eiw_di @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f95])).
% 2.05/1.98  thf(f95,plain,(
% 2.05/1.98    ((((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ sK6 @ mactual)) = $true) | ((eiw_di @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f94])).
% 2.05/1.98  thf(f1878,plain,(
% 2.05/1.98    spl1_91 | spl1_118),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f554,f1862,f1720])).
% 2.05/1.98  thf(f554,plain,(
% 2.05/1.98    ((city @ sK2 @ mactual) = $true) | ((eiw_di @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f551])).
% 2.05/1.98  thf(f551,plain,(
% 2.05/1.98    ($true = ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) | ((eiw_di @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f550])).
% 2.05/1.98  thf(f1877,plain,(
% 2.05/1.98    spl1_90 | spl1_118),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f556,f1862,f1715])).
% 2.05/1.98  thf(f556,plain,(
% 2.05/1.98    ((event @ sK3 @ mactual) = $true) | ((eiw_di @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f553])).
% 2.05/1.98  thf(f553,plain,(
% 2.05/1.98    (((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))) = $true) | ((eiw_di @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f551])).
% 2.05/1.98  thf(f1876,plain,(
% 2.05/1.98    spl1_118 | spl1_89),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f558,f1710,f1862])).
% 2.05/1.98  thf(f558,plain,(
% 2.05/1.98    ((eiw_di @ sK8 @ mactual) = $true) | ((street @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f555])).
% 2.05/1.98  thf(f555,plain,(
% 2.05/1.98    ((eiw_di @ sK8 @ mactual) = $true) | (((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f553])).
% 2.05/1.98  thf(f1875,plain,(
% 2.05/1.98    spl1_88 | spl1_118),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f560,f1862,f1705])).
% 2.05/1.98  thf(f560,plain,(
% 2.05/1.98    ((way @ sK4 @ mactual) = $true) | ((eiw_di @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f557])).
% 2.05/1.98  thf(f557,plain,(
% 2.05/1.98    ((eiw_di @ sK8 @ mactual) = $true) | (((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f555])).
% 2.05/1.98  thf(f1874,plain,(
% 2.05/1.98    spl1_118 | spl1_87),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f562,f1700,f1862])).
% 2.05/1.98  thf(f562,plain,(
% 2.05/1.98    ((lonely @ sK4 @ mactual) = $true) | ((eiw_di @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f559])).
% 2.05/1.98  thf(f559,plain,(
% 2.05/1.98    (((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))))) = $true) | ((eiw_di @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f557])).
% 2.05/1.98  thf(f1873,plain,(
% 2.05/1.98    spl1_118 | spl1_117),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f564,f1851,f1862])).
% 2.05/1.98  thf(f564,plain,(
% 2.05/1.98    ((eiw_di @ sK8 @ mactual) = $true) | ((chevy @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f561])).
% 2.05/1.98  thf(f561,plain,(
% 2.05/1.98    ((eiw_di @ sK8 @ mactual) = $true) | (((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f559])).
% 2.05/1.98  thf(f1872,plain,(
% 2.05/1.98    spl1_118 | spl1_116),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f566,f1846,f1862])).
% 2.05/1.98  thf(f566,plain,(
% 2.05/1.98    ((eiw_di @ sK8 @ mactual) = $true) | ((car @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f563])).
% 2.05/1.98  thf(f563,plain,(
% 2.05/1.98    ((eiw_di @ sK8 @ mactual) = $true) | (((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f561])).
% 2.05/1.98  thf(f1871,plain,(
% 2.05/1.98    spl1_115 | spl1_118),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f568,f1862,f1841])).
% 2.05/1.98  thf(f568,plain,(
% 2.05/1.98    ((eiw_di @ sK8 @ mactual) = $true) | ($true = (white @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f565])).
% 2.05/1.98  thf(f565,plain,(
% 2.05/1.98    ((eiw_di @ sK8 @ mactual) = $true) | (((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f563])).
% 2.05/1.98  thf(f1870,plain,(
% 2.05/1.98    spl1_118 | spl1_114),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f570,f1836,f1862])).
% 2.05/1.98  thf(f570,plain,(
% 2.05/1.98    ($true = (dirty @ sK6 @ mactual)) | ((eiw_di @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f567])).
% 2.05/1.98  thf(f567,plain,(
% 2.05/1.98    (((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))) = $true) | ((eiw_di @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f565])).
% 2.05/1.98  thf(f1869,plain,(
% 2.05/1.98    spl1_118 | spl1_113),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f572,f1831,f1862])).
% 2.05/1.98  thf(f572,plain,(
% 2.05/1.98    ((eiw_di @ sK8 @ mactual) = $true) | ((old @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f569])).
% 2.05/1.98  thf(f569,plain,(
% 2.05/1.98    (((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))) = $true) | ((eiw_di @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f567])).
% 2.05/1.98  thf(f1868,plain,(
% 2.05/1.98    spl1_112 | spl1_118),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f574,f1862,f1826])).
% 2.05/1.98  thf(f574,plain,(
% 2.05/1.98    ((eiw_di @ sK8 @ mactual) = $true) | ((barrel @ sK3 @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f571])).
% 2.05/1.98  thf(f571,plain,(
% 2.05/1.98    ((eiw_di @ sK8 @ mactual) = $true) | ($true = ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f569])).
% 2.05/1.98  thf(f1867,plain,(
% 2.05/1.98    spl1_80 | spl1_118),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f576,f1862,f1665])).
% 2.05/1.98  thf(f576,plain,(
% 2.05/1.98    ((down @ sK3 @ sK4 @ mactual) = $true) | ((eiw_di @ sK8 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f573])).
% 2.05/1.98  thf(f573,plain,(
% 2.05/1.98    ((eiw_di @ sK8 @ mactual) = $true) | ($true = ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f571])).
% 2.05/1.98  thf(f1866,plain,(
% 2.05/1.98    spl1_118 | spl1_79),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f575,f1660,f1862])).
% 2.05/1.98  thf(f575,plain,(
% 2.05/1.98    ((eiw_di @ sK8 @ mactual) = $true) | ($true = (in @ sK3 @ sK2 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f573])).
% 2.05/1.98  thf(f1865,plain,(
% 2.05/1.98    spl1_111 | spl1_118),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f549,f1862,f1819])).
% 2.05/1.98  thf(f549,plain,(
% 2.05/1.98    ((eiw_di @ sK8 @ mactual) = $true) | ((eiw_di @ sK6 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f95])).
% 2.05/1.98  thf(f1860,plain,(
% 2.05/1.98    spl1_110 | spl1_92),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f580,f1725,f1815])).
% 2.05/1.98  thf(f580,plain,(
% 2.05/1.98    ((eiw_di @ sK7 @ mactual) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f578])).
% 2.05/1.98  thf(f578,plain,(
% 2.05/1.98    ($true = ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))))))))))) | ((eiw_di @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f91])).
% 2.05/1.98  thf(f91,plain,(
% 2.05/1.98    ((((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ sK6 @ mactual)) = $true) | ((eiw_di @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f90])).
% 2.05/1.98  thf(f1859,plain,(
% 2.05/1.98    spl1_110 | spl1_91),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f582,f1720,f1815])).
% 2.05/1.98  thf(f582,plain,(
% 2.05/1.98    ((eiw_di @ sK7 @ mactual) = $true) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f579])).
% 2.05/1.98  thf(f579,plain,(
% 2.05/1.98    ($true = ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) | ((eiw_di @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f578])).
% 2.05/1.98  thf(f1858,plain,(
% 2.05/1.98    spl1_110 | spl1_90),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f584,f1715,f1815])).
% 2.05/1.98  thf(f584,plain,(
% 2.05/1.98    ((eiw_di @ sK7 @ mactual) = $true) | ((event @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f581])).
% 2.05/1.98  thf(f581,plain,(
% 2.05/1.98    ((eiw_di @ sK7 @ mactual) = $true) | (((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f579])).
% 2.05/1.98  thf(f1857,plain,(
% 2.05/1.98    spl1_110 | spl1_89),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f586,f1710,f1815])).
% 2.05/1.98  thf(f586,plain,(
% 2.05/1.98    ((street @ sK4 @ mactual) = $true) | ((eiw_di @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f583])).
% 2.05/1.98  thf(f583,plain,(
% 2.05/1.98    (((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))))))) = $true) | ((eiw_di @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f581])).
% 2.05/1.98  thf(f1856,plain,(
% 2.05/1.98    spl1_110 | spl1_88),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f588,f1705,f1815])).
% 2.05/1.98  thf(f588,plain,(
% 2.05/1.98    ((way @ sK4 @ mactual) = $true) | ((eiw_di @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f585])).
% 2.05/1.98  thf(f585,plain,(
% 2.05/1.98    (((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))) = $true) | ((eiw_di @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f583])).
% 2.05/1.98  thf(f1855,plain,(
% 2.05/1.98    spl1_110 | spl1_87),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f590,f1700,f1815])).
% 2.05/1.98  thf(f590,plain,(
% 2.05/1.98    ((lonely @ sK4 @ mactual) = $true) | ((eiw_di @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f587])).
% 2.05/1.98  thf(f587,plain,(
% 2.05/1.98    ((eiw_di @ sK7 @ mactual) = $true) | (((lonely @ sK4 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f585])).
% 2.05/1.98  thf(f1854,plain,(
% 2.05/1.98    spl1_110 | spl1_117),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f592,f1851,f1815])).
% 2.05/1.98  thf(f592,plain,(
% 2.05/1.98    ((chevy @ sK6 @ mactual) = $true) | ((eiw_di @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f589])).
% 2.05/1.98  thf(f589,plain,(
% 2.05/1.98    (((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))) = $true) | ((eiw_di @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f587])).
% 2.05/1.98  thf(f1849,plain,(
% 2.05/1.98    spl1_116 | spl1_110),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f594,f1815,f1846])).
% 2.05/1.98  thf(f594,plain,(
% 2.05/1.98    ((car @ sK6 @ mactual) = $true) | ((eiw_di @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f591])).
% 2.05/1.98  thf(f591,plain,(
% 2.05/1.98    ((eiw_di @ sK7 @ mactual) = $true) | (((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f589])).
% 2.05/1.98  thf(f1844,plain,(
% 2.05/1.98    spl1_110 | spl1_115),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f596,f1841,f1815])).
% 2.05/1.98  thf(f596,plain,(
% 2.05/1.98    ((eiw_di @ sK7 @ mactual) = $true) | ($true = (white @ sK6 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f593])).
% 2.05/1.98  thf(f593,plain,(
% 2.05/1.98    ((eiw_di @ sK7 @ mactual) = $true) | (((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f591])).
% 2.05/1.98  thf(f1839,plain,(
% 2.05/1.98    spl1_110 | spl1_114),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f598,f1836,f1815])).
% 2.05/1.98  thf(f598,plain,(
% 2.05/1.98    ($true = (dirty @ sK6 @ mactual)) | ((eiw_di @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f595])).
% 2.05/1.98  thf(f595,plain,(
% 2.05/1.98    ((eiw_di @ sK7 @ mactual) = $true) | (((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f593])).
% 2.05/1.98  thf(f1834,plain,(
% 2.05/1.98    spl1_113 | spl1_110),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f600,f1815,f1831])).
% 2.05/1.98  thf(f600,plain,(
% 2.05/1.98    ((old @ sK6 @ mactual) = $true) | ((eiw_di @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f597])).
% 2.05/1.98  thf(f597,plain,(
% 2.05/1.98    ((eiw_di @ sK7 @ mactual) = $true) | (((old @ sK6 @ mactual) & ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f595])).
% 2.05/1.98  thf(f1829,plain,(
% 2.05/1.98    spl1_112 | spl1_110),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f602,f1815,f1826])).
% 2.05/1.98  thf(f602,plain,(
% 2.05/1.98    ((barrel @ sK3 @ sK6 @ mactual) = $true) | ((eiw_di @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f599])).
% 2.05/1.98  thf(f599,plain,(
% 2.05/1.98    ((eiw_di @ sK7 @ mactual) = $true) | ($true = ((barrel @ sK3 @ sK6 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f597])).
% 2.05/1.98  thf(f1824,plain,(
% 2.05/1.98    spl1_110 | spl1_80),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f604,f1665,f1815])).
% 2.05/1.98  thf(f604,plain,(
% 2.05/1.98    ((down @ sK3 @ sK4 @ mactual) = $true) | ((eiw_di @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f601])).
% 2.05/1.98  thf(f601,plain,(
% 2.05/1.98    ($true = ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))) | ((eiw_di @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f599])).
% 2.05/1.98  thf(f1823,plain,(
% 2.05/1.98    spl1_110 | spl1_79),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f603,f1660,f1815])).
% 2.05/1.98  thf(f603,plain,(
% 2.05/1.98    ($true = (in @ sK3 @ sK2 @ mactual)) | ((eiw_di @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f601])).
% 2.05/1.98  thf(f1822,plain,(
% 2.05/1.98    spl1_110 | spl1_111),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f577,f1819,f1815])).
% 2.05/1.98  thf(f577,plain,(
% 2.05/1.98    ((eiw_di @ sK6 @ mactual) = $true) | ((eiw_di @ sK7 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f91])).
% 2.05/1.98  thf(f1813,plain,(
% 2.05/1.98    spl1_77 | spl1_109),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f618,f1810,f1650])).
% 2.05/1.98  thf(f618,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | ($true = (hollywood @ sK5 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f616])).
% 2.05/1.98  thf(f616,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK11 @ mactual) & ((chevy @ sK12 @ mactual) & ((car @ sK12 @ mactual) & ((white @ sK12 @ mactual) & ((dirty @ sK12 @ mactual) & ((old @ sK12 @ mactual) & ((street @ sK13 @ mactual) & ((way @ sK13 @ mactual) & ((lonely @ sK13 @ mactual) & ((barrel @ sK11 @ sK12 @ mactual) & ((down @ sK11 @ sK13 @ mactual) & (in @ sK11 @ sK5 @ mactual)))))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f614])).
% 2.05/1.98  thf(f614,plain,(
% 2.05/1.98    ((((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK11 @ mactual) & ((chevy @ sK12 @ mactual) & ((car @ sK12 @ mactual) & ((white @ sK12 @ mactual) & ((dirty @ sK12 @ mactual) & ((old @ sK12 @ mactual) & ((street @ sK13 @ mactual) & ((way @ sK13 @ mactual) & ((lonely @ sK13 @ mactual) & ((barrel @ sK11 @ sK12 @ mactual) & ((down @ sK11 @ sK13 @ mactual) & (in @ sK11 @ sK5 @ mactual)))))))))))))) & (eiw_di @ sK13 @ mactual)) = $true) | ((eiw_di @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f613])).
% 2.05/1.98  thf(f613,plain,(
% 2.05/1.98    ($true = ((^[Y0 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK11 @ mactual) & ((chevy @ sK12 @ mactual) & ((car @ sK12 @ mactual) & ((white @ sK12 @ mactual) & ((dirty @ sK12 @ mactual) & ((old @ sK12 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK11 @ sK12 @ mactual) & ((down @ sK11 @ Y0 @ mactual) & (in @ sK11 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual))) @ sK13)) | ((eiw_di @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f612])).
% 2.05/1.98  thf(f612,plain,(
% 2.05/1.98    ((?? @ $i @ (^[Y0 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK11 @ mactual) & ((chevy @ sK12 @ mactual) & ((car @ sK12 @ mactual) & ((white @ sK12 @ mactual) & ((dirty @ sK12 @ mactual) & ((old @ sK12 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK11 @ sK12 @ mactual) & ((down @ sK11 @ Y0 @ mactual) & (in @ sK11 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual)))) = $true) | ((eiw_di @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f610])).
% 2.05/1.98  thf(f610,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | ($true = ((?? @ $i @ (^[Y0 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK11 @ mactual) & ((chevy @ sK12 @ mactual) & ((car @ sK12 @ mactual) & ((white @ sK12 @ mactual) & ((dirty @ sK12 @ mactual) & ((old @ sK12 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK11 @ sK12 @ mactual) & ((down @ sK11 @ Y0 @ mactual) & (in @ sK11 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK12 @ mactual)))),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f609])).
% 2.05/1.98  thf(f609,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK11 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK11 @ Y0 @ mactual) & ((down @ sK11 @ Y1 @ mactual) & (in @ sK11 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK12) = $true)),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f608])).
% 2.05/1.98  thf(f608,plain,(
% 2.05/1.98    ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK11 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK11 @ Y0 @ mactual) & ((down @ sK11 @ Y1 @ mactual) & (in @ sK11 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true) | ((eiw_di @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f606])).
% 2.05/1.98  thf(f606,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ sK11 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK11 @ Y0 @ mactual) & ((down @ sK11 @ Y1 @ mactual) & (in @ sK11 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK11 @ mactual)) = $true)),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f605])).
% 2.05/1.98  thf(f605,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK11))),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f85])).
% 2.05/1.98  thf(f85,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ sK5 @ mactual) & ((city @ sK5 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ sK5 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f84])).
% 2.05/1.98  thf(f1808,plain,(
% 2.05/1.98    spl1_108 | spl1_77),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f620,f1650,f1805])).
% 2.05/1.98  thf(f620,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | ((city @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f617])).
% 2.05/1.98  thf(f617,plain,(
% 2.05/1.98    (((city @ sK5 @ mactual) & ((event @ sK11 @ mactual) & ((chevy @ sK12 @ mactual) & ((car @ sK12 @ mactual) & ((white @ sK12 @ mactual) & ((dirty @ sK12 @ mactual) & ((old @ sK12 @ mactual) & ((street @ sK13 @ mactual) & ((way @ sK13 @ mactual) & ((lonely @ sK13 @ mactual) & ((barrel @ sK11 @ sK12 @ mactual) & ((down @ sK11 @ sK13 @ mactual) & (in @ sK11 @ sK5 @ mactual))))))))))))) = $true) | ((eiw_di @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f616])).
% 2.05/1.98  thf(f1803,plain,(
% 2.05/1.98    spl1_77 | spl1_107),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f622,f1800,f1650])).
% 2.05/1.98  thf(f622,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | ((event @ sK11 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f619])).
% 2.05/1.98  thf(f619,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | (((event @ sK11 @ mactual) & ((chevy @ sK12 @ mactual) & ((car @ sK12 @ mactual) & ((white @ sK12 @ mactual) & ((dirty @ sK12 @ mactual) & ((old @ sK12 @ mactual) & ((street @ sK13 @ mactual) & ((way @ sK13 @ mactual) & ((lonely @ sK13 @ mactual) & ((barrel @ sK11 @ sK12 @ mactual) & ((down @ sK11 @ sK13 @ mactual) & (in @ sK11 @ sK5 @ mactual)))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f617])).
% 2.05/1.98  thf(f1798,plain,(
% 2.05/1.98    spl1_77 | spl1_106),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f624,f1795,f1650])).
% 2.05/1.98  thf(f624,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | ((chevy @ sK12 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f621])).
% 2.05/1.98  thf(f621,plain,(
% 2.05/1.98    (((chevy @ sK12 @ mactual) & ((car @ sK12 @ mactual) & ((white @ sK12 @ mactual) & ((dirty @ sK12 @ mactual) & ((old @ sK12 @ mactual) & ((street @ sK13 @ mactual) & ((way @ sK13 @ mactual) & ((lonely @ sK13 @ mactual) & ((barrel @ sK11 @ sK12 @ mactual) & ((down @ sK11 @ sK13 @ mactual) & (in @ sK11 @ sK5 @ mactual))))))))))) = $true) | ((eiw_di @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f619])).
% 2.05/1.98  thf(f1793,plain,(
% 2.05/1.98    spl1_105 | spl1_77),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f626,f1650,f1790])).
% 2.05/1.98  thf(f626,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | ((car @ sK12 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f623])).
% 2.05/1.98  thf(f623,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | ($true = ((car @ sK12 @ mactual) & ((white @ sK12 @ mactual) & ((dirty @ sK12 @ mactual) & ((old @ sK12 @ mactual) & ((street @ sK13 @ mactual) & ((way @ sK13 @ mactual) & ((lonely @ sK13 @ mactual) & ((barrel @ sK11 @ sK12 @ mactual) & ((down @ sK11 @ sK13 @ mactual) & (in @ sK11 @ sK5 @ mactual)))))))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f621])).
% 2.05/1.98  thf(f1788,plain,(
% 2.05/1.98    spl1_77 | spl1_104),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f628,f1785,f1650])).
% 2.05/1.98  thf(f628,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | ($true = (white @ sK12 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f625])).
% 2.05/1.98  thf(f625,plain,(
% 2.05/1.98    (((white @ sK12 @ mactual) & ((dirty @ sK12 @ mactual) & ((old @ sK12 @ mactual) & ((street @ sK13 @ mactual) & ((way @ sK13 @ mactual) & ((lonely @ sK13 @ mactual) & ((barrel @ sK11 @ sK12 @ mactual) & ((down @ sK11 @ sK13 @ mactual) & (in @ sK11 @ sK5 @ mactual))))))))) = $true) | ((eiw_di @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f623])).
% 2.05/1.98  thf(f1783,plain,(
% 2.05/1.98    spl1_77 | spl1_103),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f630,f1780,f1650])).
% 2.05/1.98  thf(f630,plain,(
% 2.05/1.98    ((dirty @ sK12 @ mactual) = $true) | ((eiw_di @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f627])).
% 2.05/1.98  thf(f627,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | (((dirty @ sK12 @ mactual) & ((old @ sK12 @ mactual) & ((street @ sK13 @ mactual) & ((way @ sK13 @ mactual) & ((lonely @ sK13 @ mactual) & ((barrel @ sK11 @ sK12 @ mactual) & ((down @ sK11 @ sK13 @ mactual) & (in @ sK11 @ sK5 @ mactual)))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f625])).
% 2.05/1.98  thf(f1778,plain,(
% 2.05/1.98    spl1_77 | spl1_102),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f632,f1775,f1650])).
% 2.05/1.98  thf(f632,plain,(
% 2.05/1.98    ($true = (old @ sK12 @ mactual)) | ((eiw_di @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f629])).
% 2.05/1.98  thf(f629,plain,(
% 2.05/1.98    (((old @ sK12 @ mactual) & ((street @ sK13 @ mactual) & ((way @ sK13 @ mactual) & ((lonely @ sK13 @ mactual) & ((barrel @ sK11 @ sK12 @ mactual) & ((down @ sK11 @ sK13 @ mactual) & (in @ sK11 @ sK5 @ mactual))))))) = $true) | ((eiw_di @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f627])).
% 2.05/1.98  thf(f1773,plain,(
% 2.05/1.98    spl1_101 | spl1_77),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f634,f1650,f1770])).
% 2.05/1.98  thf(f634,plain,(
% 2.05/1.98    ((street @ sK13 @ mactual) = $true) | ((eiw_di @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f631])).
% 2.05/1.98  thf(f631,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | (((street @ sK13 @ mactual) & ((way @ sK13 @ mactual) & ((lonely @ sK13 @ mactual) & ((barrel @ sK11 @ sK12 @ mactual) & ((down @ sK11 @ sK13 @ mactual) & (in @ sK11 @ sK5 @ mactual)))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f629])).
% 2.05/1.98  thf(f1768,plain,(
% 2.05/1.98    spl1_77 | spl1_100),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f636,f1765,f1650])).
% 2.05/1.98  thf(f636,plain,(
% 2.05/1.98    ((way @ sK13 @ mactual) = $true) | ((eiw_di @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f633])).
% 2.05/1.98  thf(f633,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | (((way @ sK13 @ mactual) & ((lonely @ sK13 @ mactual) & ((barrel @ sK11 @ sK12 @ mactual) & ((down @ sK11 @ sK13 @ mactual) & (in @ sK11 @ sK5 @ mactual))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f631])).
% 2.05/1.98  thf(f1763,plain,(
% 2.05/1.98    spl1_99 | spl1_77),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f638,f1650,f1760])).
% 2.05/1.98  thf(f638,plain,(
% 2.05/1.98    ((lonely @ sK13 @ mactual) = $true) | ((eiw_di @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f635])).
% 2.05/1.98  thf(f635,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | (((lonely @ sK13 @ mactual) & ((barrel @ sK11 @ sK12 @ mactual) & ((down @ sK11 @ sK13 @ mactual) & (in @ sK11 @ sK5 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f633])).
% 2.05/1.98  thf(f1758,plain,(
% 2.05/1.98    spl1_98 | spl1_77),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f640,f1650,f1755])).
% 2.05/1.98  thf(f640,plain,(
% 2.05/1.98    ((barrel @ sK11 @ sK12 @ mactual) = $true) | ((eiw_di @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f637])).
% 2.05/1.98  thf(f637,plain,(
% 2.05/1.98    (((barrel @ sK11 @ sK12 @ mactual) & ((down @ sK11 @ sK13 @ mactual) & (in @ sK11 @ sK5 @ mactual))) = $true) | ((eiw_di @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f635])).
% 2.05/1.98  thf(f1753,plain,(
% 2.05/1.98    spl1_77 | spl1_97),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f642,f1750,f1650])).
% 2.05/1.98  thf(f642,plain,(
% 2.05/1.98    ((down @ sK11 @ sK13 @ mactual) = $true) | ((eiw_di @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f639])).
% 2.05/1.98  thf(f639,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | (((down @ sK11 @ sK13 @ mactual) & (in @ sK11 @ sK5 @ mactual)) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f637])).
% 2.05/1.98  thf(f1748,plain,(
% 2.05/1.98    spl1_77 | spl1_96),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f641,f1745,f1650])).
% 2.05/1.98  thf(f641,plain,(
% 2.05/1.98    ((in @ sK11 @ sK5 @ mactual) = $true) | ((eiw_di @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f639])).
% 2.05/1.98  thf(f1743,plain,(
% 2.05/1.98    spl1_77 | spl1_95),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f615,f1740,f1650])).
% 2.05/1.98  thf(f615,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | ($true = (eiw_di @ sK13 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f614])).
% 2.05/1.98  thf(f1738,plain,(
% 2.05/1.98    spl1_94 | spl1_77),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f611,f1650,f1735])).
% 2.05/1.98  thf(f611,plain,(
% 2.05/1.98    ($true = (eiw_di @ sK12 @ mactual)) | ((eiw_di @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f610])).
% 2.05/1.98  thf(f1733,plain,(
% 2.05/1.98    spl1_93 | spl1_77),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f607,f1650,f1730])).
% 2.05/1.98  thf(f607,plain,(
% 2.05/1.98    ((eiw_di @ sK11 @ mactual) = $true) | ((eiw_di @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f606])).
% 2.05/1.98  thf(f1728,plain,(
% 2.05/1.98    spl1_76 | spl1_92),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f650,f1725,f1646])).
% 2.05/1.98  thf(f650,plain,(
% 2.05/1.98    ((eiw_di @ sK5 @ mactual) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f648])).
% 2.05/1.98  thf(f648,plain,(
% 2.05/1.98    ((eiw_di @ sK5 @ mactual) = $true) | ($true = ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK14 @ mactual) & ((car @ sK14 @ mactual) & ((white @ sK14 @ mactual) & ((dirty @ sK14 @ mactual) & ((old @ sK14 @ mactual) & ((barrel @ sK3 @ sK14 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f646])).
% 2.05/1.98  thf(f646,plain,(
% 2.05/1.98    ((((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK14 @ mactual) & ((car @ sK14 @ mactual) & ((white @ sK14 @ mactual) & ((dirty @ sK14 @ mactual) & ((old @ sK14 @ mactual) & ((barrel @ sK3 @ sK14 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ sK14 @ mactual)) = $true) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f645])).
% 2.05/1.98  thf(f645,plain,(
% 2.05/1.98    (((^[Y0 : $i]: (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK3 @ Y0 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual))) @ sK14) = $true) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f644])).
% 2.05/1.98  thf(f644,plain,(
% 2.05/1.98    ($true = (?? @ $i @ (^[Y0 : $i]: (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK3 @ Y0 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual))))) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f83])).
% 2.05/1.98  thf(f83,plain,(
% 2.05/1.98    ((eiw_di @ sK5 @ mactual) = $true) | (((?? @ $i @ (^[Y0 : $i]: (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK3 @ Y0 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK4 @ mactual)) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f82])).
% 2.05/1.98  thf(f1723,plain,(
% 2.05/1.98    spl1_91 | spl1_76),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f652,f1646,f1720])).
% 2.05/1.98  thf(f652,plain,(
% 2.05/1.98    ((eiw_di @ sK5 @ mactual) = $true) | ((city @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f649])).
% 2.05/1.98  thf(f649,plain,(
% 2.05/1.98    ($true = ((city @ sK2 @ mactual) & ((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK14 @ mactual) & ((car @ sK14 @ mactual) & ((white @ sK14 @ mactual) & ((dirty @ sK14 @ mactual) & ((old @ sK14 @ mactual) & ((barrel @ sK3 @ sK14 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))))) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f648])).
% 2.05/1.98  thf(f1718,plain,(
% 2.05/1.98    spl1_76 | spl1_90),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f654,f1715,f1646])).
% 2.05/1.98  thf(f654,plain,(
% 2.05/1.98    ((eiw_di @ sK5 @ mactual) = $true) | ((event @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f651])).
% 2.05/1.98  thf(f651,plain,(
% 2.05/1.98    (((event @ sK3 @ mactual) & ((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK14 @ mactual) & ((car @ sK14 @ mactual) & ((white @ sK14 @ mactual) & ((dirty @ sK14 @ mactual) & ((old @ sK14 @ mactual) & ((barrel @ sK3 @ sK14 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))))) = $true) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f649])).
% 2.05/1.98  thf(f1713,plain,(
% 2.05/1.98    spl1_89 | spl1_76),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f656,f1646,f1710])).
% 2.05/1.98  thf(f656,plain,(
% 2.05/1.98    ((eiw_di @ sK5 @ mactual) = $true) | ((street @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f653])).
% 2.05/1.98  thf(f653,plain,(
% 2.05/1.98    ((eiw_di @ sK5 @ mactual) = $true) | (((street @ sK4 @ mactual) & ((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK14 @ mactual) & ((car @ sK14 @ mactual) & ((white @ sK14 @ mactual) & ((dirty @ sK14 @ mactual) & ((old @ sK14 @ mactual) & ((barrel @ sK3 @ sK14 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f651])).
% 2.05/1.98  thf(f1708,plain,(
% 2.05/1.98    spl1_88 | spl1_76),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f658,f1646,f1705])).
% 2.05/1.98  thf(f658,plain,(
% 2.05/1.98    ((eiw_di @ sK5 @ mactual) = $true) | ((way @ sK4 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f655])).
% 2.05/1.98  thf(f655,plain,(
% 2.05/1.98    (((way @ sK4 @ mactual) & ((lonely @ sK4 @ mactual) & ((chevy @ sK14 @ mactual) & ((car @ sK14 @ mactual) & ((white @ sK14 @ mactual) & ((dirty @ sK14 @ mactual) & ((old @ sK14 @ mactual) & ((barrel @ sK3 @ sK14 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))) = $true) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f653])).
% 2.05/1.98  thf(f1703,plain,(
% 2.05/1.98    spl1_76 | spl1_87),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f660,f1700,f1646])).
% 2.05/1.98  thf(f660,plain,(
% 2.05/1.98    ((lonely @ sK4 @ mactual) = $true) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f657])).
% 2.05/1.98  thf(f657,plain,(
% 2.05/1.98    ((eiw_di @ sK5 @ mactual) = $true) | (((lonely @ sK4 @ mactual) & ((chevy @ sK14 @ mactual) & ((car @ sK14 @ mactual) & ((white @ sK14 @ mactual) & ((dirty @ sK14 @ mactual) & ((old @ sK14 @ mactual) & ((barrel @ sK3 @ sK14 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f655])).
% 2.05/1.98  thf(f1698,plain,(
% 2.05/1.98    spl1_86 | spl1_76),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f662,f1646,f1695])).
% 2.05/1.98  thf(f662,plain,(
% 2.05/1.98    ($true = (chevy @ sK14 @ mactual)) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f659])).
% 2.05/1.98  thf(f659,plain,(
% 2.05/1.98    ((eiw_di @ sK5 @ mactual) = $true) | ($true = ((chevy @ sK14 @ mactual) & ((car @ sK14 @ mactual) & ((white @ sK14 @ mactual) & ((dirty @ sK14 @ mactual) & ((old @ sK14 @ mactual) & ((barrel @ sK3 @ sK14 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f657])).
% 2.05/1.98  thf(f1693,plain,(
% 2.05/1.98    spl1_85 | spl1_76),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f664,f1646,f1690])).
% 2.05/1.98  thf(f664,plain,(
% 2.05/1.98    ((car @ sK14 @ mactual) = $true) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f661])).
% 2.05/1.98  thf(f661,plain,(
% 2.05/1.98    (((car @ sK14 @ mactual) & ((white @ sK14 @ mactual) & ((dirty @ sK14 @ mactual) & ((old @ sK14 @ mactual) & ((barrel @ sK3 @ sK14 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))))) = $true) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f659])).
% 2.05/1.98  thf(f1688,plain,(
% 2.05/1.98    spl1_76 | spl1_84),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f666,f1685,f1646])).
% 2.05/1.98  thf(f666,plain,(
% 2.05/1.98    ((eiw_di @ sK5 @ mactual) = $true) | ((white @ sK14 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f663])).
% 2.05/1.98  thf(f663,plain,(
% 2.05/1.98    (((white @ sK14 @ mactual) & ((dirty @ sK14 @ mactual) & ((old @ sK14 @ mactual) & ((barrel @ sK3 @ sK14 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))) = $true) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f661])).
% 2.05/1.98  thf(f1683,plain,(
% 2.05/1.98    spl1_76 | spl1_83),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f668,f1680,f1646])).
% 2.05/1.98  thf(f668,plain,(
% 2.05/1.98    ((dirty @ sK14 @ mactual) = $true) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f665])).
% 2.05/1.98  thf(f665,plain,(
% 2.05/1.98    ($true = ((dirty @ sK14 @ mactual) & ((old @ sK14 @ mactual) & ((barrel @ sK3 @ sK14 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual)))))) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f663])).
% 2.05/1.98  thf(f1678,plain,(
% 2.05/1.98    spl1_82 | spl1_76),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f670,f1646,f1675])).
% 2.05/1.98  thf(f670,plain,(
% 2.05/1.98    ((old @ sK14 @ mactual) = $true) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f667])).
% 2.05/1.98  thf(f667,plain,(
% 2.05/1.98    ($true = ((old @ sK14 @ mactual) & ((barrel @ sK3 @ sK14 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))))) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f665])).
% 2.05/1.98  thf(f1673,plain,(
% 2.05/1.98    spl1_76 | spl1_81),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f672,f1670,f1646])).
% 2.05/1.98  thf(f672,plain,(
% 2.05/1.98    ($true = (barrel @ sK3 @ sK14 @ mactual)) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f669])).
% 2.05/1.98  thf(f669,plain,(
% 2.05/1.98    (((barrel @ sK3 @ sK14 @ mactual) & ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))) = $true) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f667])).
% 2.05/1.98  thf(f1668,plain,(
% 2.05/1.98    spl1_76 | spl1_80),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f674,f1665,f1646])).
% 2.05/1.98  thf(f674,plain,(
% 2.05/1.98    ((down @ sK3 @ sK4 @ mactual) = $true) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f671])).
% 2.05/1.98  thf(f671,plain,(
% 2.05/1.98    ($true = ((down @ sK3 @ sK4 @ mactual) & (in @ sK3 @ sK2 @ mactual))) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f669])).
% 2.05/1.98  thf(f1663,plain,(
% 2.05/1.98    spl1_79 | spl1_76),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f673,f1646,f1660])).
% 2.05/1.98  thf(f673,plain,(
% 2.05/1.98    ($true = (in @ sK3 @ sK2 @ mactual)) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f671])).
% 2.05/1.98  thf(f1658,plain,(
% 2.05/1.98    spl1_78 | spl1_76),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f647,f1646,f1655])).
% 2.05/1.98  thf(f647,plain,(
% 2.05/1.98    ((eiw_di @ sK14 @ mactual) = $true) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f646])).
% 2.05/1.98  thf(f1653,plain,(
% 2.05/1.98    spl1_76 | spl1_77),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f643,f1650,f1646])).
% 2.05/1.98  thf(f643,plain,(
% 2.05/1.98    ((eiw_di @ sK4 @ mactual) = $true) | ((eiw_di @ sK5 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f83])).
% 2.05/1.98  thf(f1644,plain,(
% 2.05/1.98    spl1_58 | spl1_75),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f692,f1641,f1556])).
% 2.05/1.98  thf(f692,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | ((hollywood @ sK15 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f690])).
% 2.05/1.98  thf(f690,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | (((hollywood @ sK15 @ mactual) & ((city @ sK15 @ mactual) & ((event @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((street @ sK18 @ mactual) & ((way @ sK18 @ mactual) & ((lonely @ sK18 @ mactual) & ((barrel @ sK16 @ sK17 @ mactual) & ((down @ sK16 @ sK18 @ mactual) & (in @ sK16 @ sK15 @ mactual)))))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f688])).
% 2.05/1.98  thf(f688,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | ($true = (((hollywood @ sK15 @ mactual) & ((city @ sK15 @ mactual) & ((event @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((street @ sK18 @ mactual) & ((way @ sK18 @ mactual) & ((lonely @ sK18 @ mactual) & ((barrel @ sK16 @ sK17 @ mactual) & ((down @ sK16 @ sK18 @ mactual) & (in @ sK16 @ sK15 @ mactual)))))))))))))) & (eiw_di @ sK18 @ mactual)))),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f687])).
% 2.05/1.98  thf(f687,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | (((^[Y0 : $i]: (((hollywood @ sK15 @ mactual) & ((city @ sK15 @ mactual) & ((event @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK16 @ sK17 @ mactual) & ((down @ sK16 @ Y0 @ mactual) & (in @ sK16 @ sK15 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual))) @ sK18) = $true)),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f686])).
% 2.05/1.98  thf(f686,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | ((?? @ $i @ (^[Y0 : $i]: (((hollywood @ sK15 @ mactual) & ((city @ sK15 @ mactual) & ((event @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK16 @ sK17 @ mactual) & ((down @ sK16 @ Y0 @ mactual) & (in @ sK16 @ sK15 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f684])).
% 2.05/1.98  thf(f684,plain,(
% 2.05/1.98    ($true = ((?? @ $i @ (^[Y0 : $i]: (((hollywood @ sK15 @ mactual) & ((city @ sK15 @ mactual) & ((event @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK16 @ sK17 @ mactual) & ((down @ sK16 @ Y0 @ mactual) & (in @ sK16 @ sK15 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK17 @ mactual))) | ((eiw_di @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f683])).
% 2.05/1.98  thf(f683,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ sK15 @ mactual) & ((city @ sK15 @ mactual) & ((event @ sK16 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK16 @ Y0 @ mactual) & ((down @ sK16 @ Y1 @ mactual) & (in @ sK16 @ sK15 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK17) = $true)),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f682])).
% 2.05/1.98  thf(f682,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ sK15 @ mactual) & ((city @ sK15 @ mactual) & ((event @ sK16 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK16 @ Y0 @ mactual) & ((down @ sK16 @ Y1 @ mactual) & (in @ sK16 @ sK15 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f680])).
% 2.05/1.98  thf(f680,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ sK15 @ mactual) & ((city @ sK15 @ mactual) & ((event @ sK16 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK16 @ Y0 @ mactual) & ((down @ sK16 @ Y1 @ mactual) & (in @ sK16 @ sK15 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK16 @ mactual)) = $true)),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f679])).
% 2.05/1.98  thf(f679,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ sK15 @ mactual) & ((city @ sK15 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ sK15 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK16) = $true)),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f678])).
% 2.05/1.98  thf(f678,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ sK15 @ mactual) & ((city @ sK15 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ sK15 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f676])).
% 2.05/1.98  thf(f676,plain,(
% 2.05/1.98    (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ sK15 @ mactual) & ((city @ sK15 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ sK15 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK15 @ mactual)) = $true) | ((eiw_di @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f675])).
% 2.05/1.98  thf(f675,plain,(
% 2.05/1.98    ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK15)) | ((eiw_di @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f77])).
% 2.05/1.98  thf(f77,plain,(
% 2.05/1.98    ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true) | ((eiw_di @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f76])).
% 2.05/1.98  thf(f1639,plain,(
% 2.05/1.98    spl1_74 | spl1_58),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f694,f1556,f1636])).
% 2.05/1.98  thf(f694,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | ((city @ sK15 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f691])).
% 2.05/1.98  thf(f691,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | (((city @ sK15 @ mactual) & ((event @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((street @ sK18 @ mactual) & ((way @ sK18 @ mactual) & ((lonely @ sK18 @ mactual) & ((barrel @ sK16 @ sK17 @ mactual) & ((down @ sK16 @ sK18 @ mactual) & (in @ sK16 @ sK15 @ mactual))))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f690])).
% 2.05/1.98  thf(f1634,plain,(
% 2.05/1.98    spl1_58 | spl1_73),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f696,f1631,f1556])).
% 2.05/1.98  thf(f696,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | ((event @ sK16 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f693])).
% 2.05/1.98  thf(f693,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | (((event @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((street @ sK18 @ mactual) & ((way @ sK18 @ mactual) & ((lonely @ sK18 @ mactual) & ((barrel @ sK16 @ sK17 @ mactual) & ((down @ sK16 @ sK18 @ mactual) & (in @ sK16 @ sK15 @ mactual)))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f691])).
% 2.05/1.98  thf(f1629,plain,(
% 2.05/1.98    spl1_72 | spl1_58),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f698,f1556,f1626])).
% 2.05/1.98  thf(f698,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | ((chevy @ sK17 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f695])).
% 2.05/1.98  thf(f695,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | (((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((street @ sK18 @ mactual) & ((way @ sK18 @ mactual) & ((lonely @ sK18 @ mactual) & ((barrel @ sK16 @ sK17 @ mactual) & ((down @ sK16 @ sK18 @ mactual) & (in @ sK16 @ sK15 @ mactual))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f693])).
% 2.05/1.98  thf(f1624,plain,(
% 2.05/1.98    spl1_58 | spl1_71),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f700,f1621,f1556])).
% 2.05/1.98  thf(f700,plain,(
% 2.05/1.98    ((car @ sK17 @ mactual) = $true) | ((eiw_di @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f697])).
% 2.05/1.98  thf(f697,plain,(
% 2.05/1.98    (((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((street @ sK18 @ mactual) & ((way @ sK18 @ mactual) & ((lonely @ sK18 @ mactual) & ((barrel @ sK16 @ sK17 @ mactual) & ((down @ sK16 @ sK18 @ mactual) & (in @ sK16 @ sK15 @ mactual)))))))))) = $true) | ((eiw_di @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f695])).
% 2.05/1.98  thf(f1619,plain,(
% 2.05/1.98    spl1_70 | spl1_58),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f702,f1556,f1616])).
% 2.05/1.98  thf(f702,plain,(
% 2.05/1.98    ((white @ sK17 @ mactual) = $true) | ((eiw_di @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f699])).
% 2.05/1.98  thf(f699,plain,(
% 2.05/1.98    (((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((street @ sK18 @ mactual) & ((way @ sK18 @ mactual) & ((lonely @ sK18 @ mactual) & ((barrel @ sK16 @ sK17 @ mactual) & ((down @ sK16 @ sK18 @ mactual) & (in @ sK16 @ sK15 @ mactual))))))))) = $true) | ((eiw_di @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f697])).
% 2.05/1.98  thf(f1614,plain,(
% 2.05/1.98    spl1_69 | spl1_58),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f704,f1556,f1611])).
% 2.05/1.98  thf(f704,plain,(
% 2.05/1.98    ($true = (dirty @ sK17 @ mactual)) | ((eiw_di @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f701])).
% 2.05/1.98  thf(f701,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | ($true = ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((street @ sK18 @ mactual) & ((way @ sK18 @ mactual) & ((lonely @ sK18 @ mactual) & ((barrel @ sK16 @ sK17 @ mactual) & ((down @ sK16 @ sK18 @ mactual) & (in @ sK16 @ sK15 @ mactual)))))))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f699])).
% 2.05/1.98  thf(f1609,plain,(
% 2.05/1.98    spl1_68 | spl1_58),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f706,f1556,f1606])).
% 2.05/1.98  thf(f706,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | ((old @ sK17 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f703])).
% 2.05/1.98  thf(f703,plain,(
% 2.05/1.98    (((old @ sK17 @ mactual) & ((street @ sK18 @ mactual) & ((way @ sK18 @ mactual) & ((lonely @ sK18 @ mactual) & ((barrel @ sK16 @ sK17 @ mactual) & ((down @ sK16 @ sK18 @ mactual) & (in @ sK16 @ sK15 @ mactual))))))) = $true) | ((eiw_di @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f701])).
% 2.05/1.98  thf(f1604,plain,(
% 2.05/1.98    spl1_67 | spl1_58),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f708,f1556,f1601])).
% 2.05/1.98  thf(f708,plain,(
% 2.05/1.98    ((street @ sK18 @ mactual) = $true) | ((eiw_di @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f705])).
% 2.05/1.98  thf(f705,plain,(
% 2.05/1.98    (((street @ sK18 @ mactual) & ((way @ sK18 @ mactual) & ((lonely @ sK18 @ mactual) & ((barrel @ sK16 @ sK17 @ mactual) & ((down @ sK16 @ sK18 @ mactual) & (in @ sK16 @ sK15 @ mactual)))))) = $true) | ((eiw_di @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f703])).
% 2.05/1.98  thf(f1599,plain,(
% 2.05/1.98    spl1_66 | spl1_58),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f710,f1556,f1596])).
% 2.05/1.98  thf(f710,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | ((way @ sK18 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f707])).
% 2.05/1.98  thf(f707,plain,(
% 2.05/1.98    (((way @ sK18 @ mactual) & ((lonely @ sK18 @ mactual) & ((barrel @ sK16 @ sK17 @ mactual) & ((down @ sK16 @ sK18 @ mactual) & (in @ sK16 @ sK15 @ mactual))))) = $true) | ((eiw_di @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f705])).
% 2.05/1.98  thf(f1594,plain,(
% 2.05/1.98    spl1_58 | spl1_65),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f712,f1591,f1556])).
% 2.05/1.98  thf(f712,plain,(
% 2.05/1.98    ((lonely @ sK18 @ mactual) = $true) | ((eiw_di @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f709])).
% 2.05/1.98  thf(f709,plain,(
% 2.05/1.98    (((lonely @ sK18 @ mactual) & ((barrel @ sK16 @ sK17 @ mactual) & ((down @ sK16 @ sK18 @ mactual) & (in @ sK16 @ sK15 @ mactual)))) = $true) | ((eiw_di @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f707])).
% 2.05/1.98  thf(f1589,plain,(
% 2.05/1.98    spl1_58 | spl1_64),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f714,f1586,f1556])).
% 2.05/1.98  thf(f714,plain,(
% 2.05/1.98    ((barrel @ sK16 @ sK17 @ mactual) = $true) | ((eiw_di @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f711])).
% 2.05/1.98  thf(f711,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | ($true = ((barrel @ sK16 @ sK17 @ mactual) & ((down @ sK16 @ sK18 @ mactual) & (in @ sK16 @ sK15 @ mactual))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f709])).
% 2.05/1.98  thf(f1584,plain,(
% 2.05/1.98    spl1_63 | spl1_58),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f716,f1556,f1581])).
% 2.05/1.98  thf(f716,plain,(
% 2.05/1.98    ((down @ sK16 @ sK18 @ mactual) = $true) | ((eiw_di @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f713])).
% 2.05/1.98  thf(f713,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | ($true = ((down @ sK16 @ sK18 @ mactual) & (in @ sK16 @ sK15 @ mactual)))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f711])).
% 2.05/1.98  thf(f1579,plain,(
% 2.05/1.98    spl1_62 | spl1_58),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f715,f1556,f1576])).
% 2.05/1.98  thf(f715,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | ((in @ sK16 @ sK15 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f713])).
% 2.05/1.98  thf(f1574,plain,(
% 2.05/1.98    spl1_58 | spl1_61),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f689,f1571,f1556])).
% 2.05/1.98  thf(f689,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | ((eiw_di @ sK18 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f688])).
% 2.05/1.98  thf(f1569,plain,(
% 2.05/1.98    spl1_58 | spl1_60),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f685,f1566,f1556])).
% 2.05/1.98  thf(f685,plain,(
% 2.05/1.98    ((eiw_di @ sK17 @ mactual) = $true) | ((eiw_di @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f684])).
% 2.05/1.98  thf(f1564,plain,(
% 2.05/1.98    spl1_58 | spl1_59),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f681,f1561,f1556])).
% 2.05/1.98  thf(f681,plain,(
% 2.05/1.98    ((eiw_di @ sK3 @ mactual) = $true) | ((eiw_di @ sK16 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f680])).
% 2.05/1.98  thf(f1559,plain,(
% 2.05/1.98    spl1_57 | spl1_58),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f677,f1556,f1552])).
% 2.05/1.98  thf(f677,plain,(
% 2.05/1.98    ($true = (eiw_di @ sK15 @ mactual)) | ((eiw_di @ sK3 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f676])).
% 2.05/1.98  thf(f1550,plain,(
% 2.05/1.98    spl1_39 | spl1_56),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f734,f1547,f1462])).
% 2.05/1.98  thf(f734,plain,(
% 2.05/1.98    ($true = (hollywood @ sK19 @ mactual)) | ((eiw_di @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f732])).
% 2.05/1.98  thf(f732,plain,(
% 2.05/1.98    (((hollywood @ sK19 @ mactual) & ((city @ sK19 @ mactual) & ((event @ sK20 @ mactual) & ((chevy @ sK21 @ mactual) & ((car @ sK21 @ mactual) & ((white @ sK21 @ mactual) & ((dirty @ sK21 @ mactual) & ((old @ sK21 @ mactual) & ((street @ sK22 @ mactual) & ((way @ sK22 @ mactual) & ((lonely @ sK22 @ mactual) & ((barrel @ sK20 @ sK21 @ mactual) & ((down @ sK20 @ sK22 @ mactual) & (in @ sK20 @ sK19 @ mactual)))))))))))))) = $true) | ((eiw_di @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f730])).
% 2.05/1.98  thf(f730,plain,(
% 2.05/1.98    ((((hollywood @ sK19 @ mactual) & ((city @ sK19 @ mactual) & ((event @ sK20 @ mactual) & ((chevy @ sK21 @ mactual) & ((car @ sK21 @ mactual) & ((white @ sK21 @ mactual) & ((dirty @ sK21 @ mactual) & ((old @ sK21 @ mactual) & ((street @ sK22 @ mactual) & ((way @ sK22 @ mactual) & ((lonely @ sK22 @ mactual) & ((barrel @ sK20 @ sK21 @ mactual) & ((down @ sK20 @ sK22 @ mactual) & (in @ sK20 @ sK19 @ mactual)))))))))))))) & (eiw_di @ sK22 @ mactual)) = $true) | ((eiw_di @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f729])).
% 2.05/1.98  thf(f729,plain,(
% 2.05/1.98    (((^[Y0 : $i]: (((hollywood @ sK19 @ mactual) & ((city @ sK19 @ mactual) & ((event @ sK20 @ mactual) & ((chevy @ sK21 @ mactual) & ((car @ sK21 @ mactual) & ((white @ sK21 @ mactual) & ((dirty @ sK21 @ mactual) & ((old @ sK21 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK20 @ sK21 @ mactual) & ((down @ sK20 @ Y0 @ mactual) & (in @ sK20 @ sK19 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual))) @ sK22) = $true) | ((eiw_di @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f728])).
% 2.05/1.98  thf(f728,plain,(
% 2.05/1.98    ((?? @ $i @ (^[Y0 : $i]: (((hollywood @ sK19 @ mactual) & ((city @ sK19 @ mactual) & ((event @ sK20 @ mactual) & ((chevy @ sK21 @ mactual) & ((car @ sK21 @ mactual) & ((white @ sK21 @ mactual) & ((dirty @ sK21 @ mactual) & ((old @ sK21 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK20 @ sK21 @ mactual) & ((down @ sK20 @ Y0 @ mactual) & (in @ sK20 @ sK19 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual)))) = $true) | ((eiw_di @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f726])).
% 2.05/1.98  thf(f726,plain,(
% 2.05/1.98    (((?? @ $i @ (^[Y0 : $i]: (((hollywood @ sK19 @ mactual) & ((city @ sK19 @ mactual) & ((event @ sK20 @ mactual) & ((chevy @ sK21 @ mactual) & ((car @ sK21 @ mactual) & ((white @ sK21 @ mactual) & ((dirty @ sK21 @ mactual) & ((old @ sK21 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK20 @ sK21 @ mactual) & ((down @ sK20 @ Y0 @ mactual) & (in @ sK20 @ sK19 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK21 @ mactual)) = $true) | ((eiw_di @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f725])).
% 2.05/1.98  thf(f725,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ sK19 @ mactual) & ((city @ sK19 @ mactual) & ((event @ sK20 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK20 @ Y0 @ mactual) & ((down @ sK20 @ Y1 @ mactual) & (in @ sK20 @ sK19 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK21) = $true)),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f724])).
% 2.05/1.98  thf(f724,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ sK19 @ mactual) & ((city @ sK19 @ mactual) & ((event @ sK20 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK20 @ Y0 @ mactual) & ((down @ sK20 @ Y1 @ mactual) & (in @ sK20 @ sK19 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f722])).
% 2.05/1.98  thf(f722,plain,(
% 2.05/1.98    (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ sK19 @ mactual) & ((city @ sK19 @ mactual) & ((event @ sK20 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK20 @ Y0 @ mactual) & ((down @ sK20 @ Y1 @ mactual) & (in @ sK20 @ sK19 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK20 @ mactual)) = $true) | ((eiw_di @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f721])).
% 2.05/1.98  thf(f721,plain,(
% 2.05/1.98    (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ sK19 @ mactual) & ((city @ sK19 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ sK19 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK20) = $true) | ((eiw_di @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f720])).
% 2.05/1.98  thf(f720,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ sK19 @ mactual) & ((city @ sK19 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ sK19 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f718])).
% 2.05/1.98  thf(f718,plain,(
% 2.05/1.98    (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ sK19 @ mactual) & ((city @ sK19 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ sK19 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK19 @ mactual)) = $true) | ((eiw_di @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(beta_eta_normalization,[status(thm)],[f717])).
% 2.05/1.98  thf(f717,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK19))),
% 2.05/1.98    inference(sigma_clausification,[status(thm)],[f73])).
% 2.05/1.98  thf(f73,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f72])).
% 2.05/1.98  thf(f1545,plain,(
% 2.05/1.98    spl1_39 | spl1_55),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f736,f1542,f1462])).
% 2.05/1.98  thf(f736,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | ((city @ sK19 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f733])).
% 2.05/1.98  thf(f733,plain,(
% 2.05/1.98    (((city @ sK19 @ mactual) & ((event @ sK20 @ mactual) & ((chevy @ sK21 @ mactual) & ((car @ sK21 @ mactual) & ((white @ sK21 @ mactual) & ((dirty @ sK21 @ mactual) & ((old @ sK21 @ mactual) & ((street @ sK22 @ mactual) & ((way @ sK22 @ mactual) & ((lonely @ sK22 @ mactual) & ((barrel @ sK20 @ sK21 @ mactual) & ((down @ sK20 @ sK22 @ mactual) & (in @ sK20 @ sK19 @ mactual))))))))))))) = $true) | ((eiw_di @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f732])).
% 2.05/1.98  thf(f1540,plain,(
% 2.05/1.98    spl1_39 | spl1_54),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f738,f1537,f1462])).
% 2.05/1.98  thf(f738,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | ((event @ sK20 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f735])).
% 2.05/1.98  thf(f735,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | (((event @ sK20 @ mactual) & ((chevy @ sK21 @ mactual) & ((car @ sK21 @ mactual) & ((white @ sK21 @ mactual) & ((dirty @ sK21 @ mactual) & ((old @ sK21 @ mactual) & ((street @ sK22 @ mactual) & ((way @ sK22 @ mactual) & ((lonely @ sK22 @ mactual) & ((barrel @ sK20 @ sK21 @ mactual) & ((down @ sK20 @ sK22 @ mactual) & (in @ sK20 @ sK19 @ mactual)))))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f733])).
% 2.05/1.98  thf(f1535,plain,(
% 2.05/1.98    spl1_53 | spl1_39),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f740,f1462,f1532])).
% 2.05/1.98  thf(f740,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | ($true = (chevy @ sK21 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f737])).
% 2.05/1.98  thf(f737,plain,(
% 2.05/1.98    (((chevy @ sK21 @ mactual) & ((car @ sK21 @ mactual) & ((white @ sK21 @ mactual) & ((dirty @ sK21 @ mactual) & ((old @ sK21 @ mactual) & ((street @ sK22 @ mactual) & ((way @ sK22 @ mactual) & ((lonely @ sK22 @ mactual) & ((barrel @ sK20 @ sK21 @ mactual) & ((down @ sK20 @ sK22 @ mactual) & (in @ sK20 @ sK19 @ mactual))))))))))) = $true) | ((eiw_di @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f735])).
% 2.05/1.98  thf(f1530,plain,(
% 2.05/1.98    spl1_39 | spl1_52),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f742,f1527,f1462])).
% 2.05/1.98  thf(f742,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | ((car @ sK21 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f739])).
% 2.05/1.98  thf(f739,plain,(
% 2.05/1.98    (((car @ sK21 @ mactual) & ((white @ sK21 @ mactual) & ((dirty @ sK21 @ mactual) & ((old @ sK21 @ mactual) & ((street @ sK22 @ mactual) & ((way @ sK22 @ mactual) & ((lonely @ sK22 @ mactual) & ((barrel @ sK20 @ sK21 @ mactual) & ((down @ sK20 @ sK22 @ mactual) & (in @ sK20 @ sK19 @ mactual)))))))))) = $true) | ((eiw_di @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f737])).
% 2.05/1.98  thf(f1525,plain,(
% 2.05/1.98    spl1_39 | spl1_51),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f744,f1522,f1462])).
% 2.05/1.98  thf(f744,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | ((white @ sK21 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f741])).
% 2.05/1.98  thf(f741,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | (((white @ sK21 @ mactual) & ((dirty @ sK21 @ mactual) & ((old @ sK21 @ mactual) & ((street @ sK22 @ mactual) & ((way @ sK22 @ mactual) & ((lonely @ sK22 @ mactual) & ((barrel @ sK20 @ sK21 @ mactual) & ((down @ sK20 @ sK22 @ mactual) & (in @ sK20 @ sK19 @ mactual))))))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f739])).
% 2.05/1.98  thf(f1520,plain,(
% 2.05/1.98    spl1_50 | spl1_39),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f746,f1462,f1517])).
% 2.05/1.98  thf(f746,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | ((dirty @ sK21 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f743])).
% 2.05/1.98  thf(f743,plain,(
% 2.05/1.98    ($true = ((dirty @ sK21 @ mactual) & ((old @ sK21 @ mactual) & ((street @ sK22 @ mactual) & ((way @ sK22 @ mactual) & ((lonely @ sK22 @ mactual) & ((barrel @ sK20 @ sK21 @ mactual) & ((down @ sK20 @ sK22 @ mactual) & (in @ sK20 @ sK19 @ mactual))))))))) | ((eiw_di @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f741])).
% 2.05/1.98  thf(f1515,plain,(
% 2.05/1.98    spl1_49 | spl1_39),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f748,f1462,f1512])).
% 2.05/1.98  thf(f748,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | ($true = (old @ sK21 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f745])).
% 2.05/1.98  thf(f745,plain,(
% 2.05/1.98    (((old @ sK21 @ mactual) & ((street @ sK22 @ mactual) & ((way @ sK22 @ mactual) & ((lonely @ sK22 @ mactual) & ((barrel @ sK20 @ sK21 @ mactual) & ((down @ sK20 @ sK22 @ mactual) & (in @ sK20 @ sK19 @ mactual))))))) = $true) | ((eiw_di @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f743])).
% 2.05/1.98  thf(f1510,plain,(
% 2.05/1.98    spl1_48 | spl1_39),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f750,f1462,f1507])).
% 2.05/1.98  thf(f750,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | ((street @ sK22 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f747])).
% 2.05/1.98  thf(f747,plain,(
% 2.05/1.98    (((street @ sK22 @ mactual) & ((way @ sK22 @ mactual) & ((lonely @ sK22 @ mactual) & ((barrel @ sK20 @ sK21 @ mactual) & ((down @ sK20 @ sK22 @ mactual) & (in @ sK20 @ sK19 @ mactual)))))) = $true) | ((eiw_di @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f745])).
% 2.05/1.98  thf(f1505,plain,(
% 2.05/1.98    spl1_39 | spl1_47),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f752,f1502,f1462])).
% 2.05/1.98  thf(f752,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | ((way @ sK22 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f749])).
% 2.05/1.98  thf(f749,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | (((way @ sK22 @ mactual) & ((lonely @ sK22 @ mactual) & ((barrel @ sK20 @ sK21 @ mactual) & ((down @ sK20 @ sK22 @ mactual) & (in @ sK20 @ sK19 @ mactual))))) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f747])).
% 2.05/1.98  thf(f1500,plain,(
% 2.05/1.98    spl1_46 | spl1_39),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f754,f1462,f1497])).
% 2.05/1.98  thf(f754,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | ((lonely @ sK22 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f751])).
% 2.05/1.98  thf(f751,plain,(
% 2.05/1.98    (((lonely @ sK22 @ mactual) & ((barrel @ sK20 @ sK21 @ mactual) & ((down @ sK20 @ sK22 @ mactual) & (in @ sK20 @ sK19 @ mactual)))) = $true) | ((eiw_di @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f749])).
% 2.05/1.98  thf(f1495,plain,(
% 2.05/1.98    spl1_45 | spl1_39),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f756,f1462,f1492])).
% 2.05/1.98  thf(f756,plain,(
% 2.05/1.98    ((barrel @ sK20 @ sK21 @ mactual) = $true) | ((eiw_di @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f753])).
% 2.05/1.98  thf(f753,plain,(
% 2.05/1.98    (((barrel @ sK20 @ sK21 @ mactual) & ((down @ sK20 @ sK22 @ mactual) & (in @ sK20 @ sK19 @ mactual))) = $true) | ((eiw_di @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f751])).
% 2.05/1.98  thf(f1490,plain,(
% 2.05/1.98    spl1_39 | spl1_44),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f758,f1487,f1462])).
% 2.05/1.98  thf(f758,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | ((down @ sK20 @ sK22 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f755])).
% 2.05/1.98  thf(f755,plain,(
% 2.05/1.98    ($true = ((down @ sK20 @ sK22 @ mactual) & (in @ sK20 @ sK19 @ mactual))) | ((eiw_di @ sK2 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f753])).
% 2.05/1.98  thf(f1485,plain,(
% 2.05/1.98    spl1_39 | spl1_43),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f757,f1482,f1462])).
% 2.05/1.98  thf(f757,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | ((in @ sK20 @ sK19 @ mactual) = $true)),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f755])).
% 2.05/1.98  thf(f1480,plain,(
% 2.05/1.98    spl1_39 | spl1_42),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f731,f1477,f1462])).
% 2.05/1.98  thf(f731,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | ($true = (eiw_di @ sK22 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f730])).
% 2.05/1.98  thf(f1475,plain,(
% 2.05/1.98    spl1_39 | spl1_41),
% 2.05/1.98    inference(avatar_split_clause,[status(thm)],[f727,f1472,f1462])).
% 2.05/1.98  thf(f727,plain,(
% 2.05/1.98    ((eiw_di @ sK2 @ mactual) = $true) | ($true = (eiw_di @ sK21 @ mactual))),
% 2.05/1.98    inference(binary_proxy_clausification,[status(thm)],[f726])).
% 2.05/1.99  thf(f1470,plain,(
% 2.05/1.99    spl1_39 | spl1_40),
% 2.05/1.99    inference(avatar_split_clause,[status(thm)],[f723,f1467,f1462])).
% 2.05/1.99  thf(f723,plain,(
% 2.05/1.99    ((eiw_di @ sK2 @ mactual) = $true) | ($true = (eiw_di @ sK20 @ mactual))),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f722])).
% 2.05/1.99  thf(f1465,plain,(
% 2.05/1.99    spl1_38 | spl1_39),
% 2.05/1.99    inference(avatar_split_clause,[status(thm)],[f719,f1462,f1458])).
% 2.05/1.99  thf(f719,plain,(
% 2.05/1.99    ((eiw_di @ sK2 @ mactual) = $true) | ((eiw_di @ sK19 @ mactual) = $true)),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f718])).
% 2.05/1.99  thf(f1276,plain,(
% 2.05/1.99    spl1_1 | spl1_1),
% 2.05/1.99    inference(avatar_split_clause,[status(thm)],[f1272,f1274,f1274])).
% 2.05/1.99  thf(f1272,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (dirty @ X7 @ mactual)) | ((white @ X7 @ mactual) = $false) | ($false = (way @ X5 @ mactual)) | ($false = (city @ X2 @ mactual)) | ((way @ X8 @ mactual) = $false) | ($false = (dirty @ X6 @ mactual)) | ($false = (chevy @ X7 @ mactual)) | ($false = (lonely @ X8 @ mactual)) | ($false = (old @ X6 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (down @ X3 @ X5 @ mactual)) | ($false = (car @ X7 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ($false = (event @ X4 @ mactual)) | ($false = (car @ X6 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ((in @ X4 @ X1 @ mactual) = $false) | ($false = (event @ X3 @ mactual)) | ($false = (street @ X5 @ mactual)) | ($false = (white @ X6 @ mactual)) | ($false = (in @ X3 @ X2 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (old @ X7 @ mactual)) | ($false = (barrel @ X4 @ X6 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (lonely @ X5 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (barrel @ X3 @ X7 @ mactual)) | ($false = (street @ X8 @ mactual)) | ($false = (down @ X4 @ X8 @ mactual)) | ($false = (hollywood @ X2 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (eiw_di @ X1 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1271])).
% 2.05/1.99  thf(f1271,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (lonely @ X5 @ mactual)) | ((way @ X8 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (dirty @ X7 @ mactual)) | ($false = (old @ X7 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (lonely @ X8 @ mactual)) | ($false = (down @ X3 @ X5 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (in @ X3 @ X2 @ mactual)) | ($false = (car @ X7 @ mactual)) | ($false = (street @ X8 @ mactual)) | ($false = (chevy @ X7 @ mactual)) | ($false = (barrel @ X3 @ X7 @ mactual)) | ((white @ X7 @ mactual) = $false) | ($false = (event @ X3 @ mactual)) | ($false = (old @ X6 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (dirty @ X6 @ mactual)) | ($false = (way @ X5 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (white @ X6 @ mactual)) | ($false = ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual))) | ($false = (chevy @ X6 @ mactual)) | ($false = (barrel @ X4 @ X6 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (street @ X5 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (city @ X2 @ mactual)) | ($false = (hollywood @ X2 @ mactual)) | ($false = (car @ X6 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1270])).
% 2.05/1.99  thf(f1270,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (car @ X6 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (chevy @ X7 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (hollywood @ X2 @ mactual)) | ($false = (lonely @ X8 @ mactual)) | ($false = (dirty @ X7 @ mactual)) | ($false = (old @ X7 @ mactual)) | ($false = (city @ X2 @ mactual)) | ($false = (way @ X5 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (event @ X4 @ mactual)) | ((way @ X8 @ mactual) = $false) | ($false = (barrel @ X3 @ X7 @ mactual)) | ($false = (street @ X5 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (white @ X6 @ mactual)) | ($false = (lonely @ X5 @ mactual)) | ($false = (down @ X3 @ X5 @ mactual)) | ($false = (car @ X7 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (street @ X8 @ mactual)) | ($false = ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual)))) | ($false = (old @ X6 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (dirty @ X6 @ mactual)) | ((white @ X7 @ mactual) = $false) | ($false = (in @ X3 @ X2 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (event @ X3 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1269])).
% 2.05/1.99  thf(f1269,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual))))) | ($false = (way @ X5 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (barrel @ X3 @ X7 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (car @ X6 @ mactual)) | ($false = (hollywood @ X2 @ mactual)) | ($false = (lonely @ X5 @ mactual)) | ($false = (car @ X7 @ mactual)) | ($false = (event @ X4 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (dirty @ X6 @ mactual)) | ($false = (old @ X6 @ mactual)) | ($false = (down @ X3 @ X5 @ mactual)) | ($false = (street @ X5 @ mactual)) | ($false = (white @ X6 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (street @ X8 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (dirty @ X7 @ mactual)) | ($false = (in @ X3 @ X2 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (city @ X2 @ mactual)) | ((white @ X7 @ mactual) = $false) | ($false = (chevy @ X7 @ mactual)) | ($false = (old @ X7 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((way @ X8 @ mactual) = $false) | ($false = (event @ X3 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1268])).
% 2.05/1.99  thf(f1268,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (white @ X6 @ mactual)) | ($false = (car @ X6 @ mactual)) | ((way @ X8 @ mactual) = $false) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (event @ X3 @ mactual)) | ($false = (chevy @ X7 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (old @ X6 @ mactual)) | ($false = (dirty @ X6 @ mactual)) | ($false = (street @ X5 @ mactual)) | ($false = (city @ X2 @ mactual)) | ($false = (old @ X7 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual))) | ($false = (event @ X4 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual))))) | ($false = (lonely @ X5 @ mactual)) | ($false = (street @ X8 @ mactual)) | ((white @ X7 @ mactual) = $false) | ($false = (barrel @ X3 @ X7 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (hollywood @ X2 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (dirty @ X7 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ($false = (car @ X7 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (way @ X5 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1267])).
% 2.05/1.99  thf(f1267,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X6 @ mactual)) | ($false = (lonely @ X5 @ mactual)) | ($false = (old @ X6 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (white @ X6 @ mactual)) | ($false = (dirty @ X7 @ mactual)) | ($false = (chevy @ X7 @ mactual)) | ($false = (hollywood @ X2 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (street @ X8 @ mactual)) | ((way @ X8 @ mactual) = $false) | ($false = (dirty @ X6 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ($false = (way @ X5 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ((white @ X7 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ($false = (city @ X2 @ mactual)) | ($false = (street @ X5 @ mactual)) | ($false = (old @ X7 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (car @ X7 @ mactual)) | ($false = ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual))))) | ($false = (event @ X3 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1266])).
% 2.05/1.99  thf(f1266,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (chevy @ X6 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (hollywood @ X2 @ mactual)) | ($false = (old @ X7 @ mactual)) | ($false = (way @ X5 @ mactual)) | ($false = (dirty @ X7 @ mactual)) | ($false = (chevy @ X7 @ mactual)) | ($false = (city @ X2 @ mactual)) | ($false = (lonely @ X5 @ mactual)) | ($false = (event @ X3 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((white @ X7 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ($false = (white @ X6 @ mactual)) | ($false = (street @ X5 @ mactual)) | ($false = ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual)))))) | ($false = (car @ X6 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (old @ X6 @ mactual)) | ($false = (dirty @ X6 @ mactual)) | ($false = (street @ X8 @ mactual)) | ($false = (car @ X7 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual))))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1265])).
% 2.05/1.99  thf(f1265,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X4 @ mactual)) | ($false = (dirty @ X7 @ mactual)) | ($false = (city @ X2 @ mactual)) | ($false = (car @ X6 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (dirty @ X6 @ mactual)) | ($false = (lonely @ X5 @ mactual)) | ($false = (white @ X6 @ mactual)) | ($false = ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual))))) | ($false = (street @ X8 @ mactual)) | ($false = (way @ X5 @ mactual)) | ($false = ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual)))))) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (car @ X7 @ mactual)) | ($false = (street @ X5 @ mactual)) | ($false = (chevy @ X7 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ((white @ X7 @ mactual) = $false) | ($false = (hollywood @ X2 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (event @ X3 @ mactual)) | ($false = (old @ X6 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ($false = (city @ X1 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1264])).
% 2.05/1.99  thf(f1264,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((white @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (way @ X5 @ mactual)) | ($false = (dirty @ X7 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual))))))) | ($false = (city @ X2 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (car @ X7 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (event @ X4 @ mactual)) | ($false = (event @ X3 @ mactual)) | ($false = (hollywood @ X2 @ mactual)) | ($false = (lonely @ X5 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ($false = (street @ X5 @ mactual)) | ($false = (dirty @ X6 @ mactual)) | ($false = (car @ X6 @ mactual)) | ($false = (old @ X6 @ mactual)) | ($false = (chevy @ X7 @ mactual)) | ($false = ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual))))) | ($false = (white @ X6 @ mactual)) | ($false = (eiw_di @ X3 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1263])).
% 2.05/1.99  thf(f1263,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (event @ X3 @ mactual)) | ($false = (dirty @ X7 @ mactual)) | ($false = ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual)))))))) | ($false = (way @ X5 @ mactual)) | ($false = (white @ X6 @ mactual)) | ($false = (car @ X7 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual))))) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (lonely @ X5 @ mactual)) | ($false = (city @ X2 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (event @ X4 @ mactual)) | ($false = (hollywood @ X2 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ($false = (chevy @ X7 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)) | ((white @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (dirty @ X6 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (car @ X6 @ mactual)) | ($false = (street @ X5 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1262])).
% 2.05/1.99  thf(f1262,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (car @ X6 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (event @ X3 @ mactual)) | ($false = (city @ X2 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ($false = (chevy @ X7 @ mactual)) | ($false = (street @ X5 @ mactual)) | ($false = (hollywood @ X2 @ mactual)) | (((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual))))) = $false) | ($false = (eiw_di @ X3 @ mactual)) | ($false = ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual)))))))) | ($false = (lonely @ X5 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (white @ X6 @ mactual)) | ($false = (way @ X5 @ mactual)) | ($false = (event @ X4 @ mactual)) | ($false = (car @ X7 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ((white @ X7 @ mactual) = $false) | ($false = (dirty @ X6 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1261])).
% 2.05/1.99  thf(f1261,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X4 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual))))))) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (hollywood @ X2 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (car @ X6 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (lonely @ X5 @ mactual)) | ($false = (street @ X5 @ mactual)) | ($false = ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual)))))))) | ($false = (way @ X5 @ mactual)) | ($false = (white @ X6 @ mactual)) | ($false = (event @ X4 @ mactual)) | ($false = (chevy @ X7 @ mactual)) | ($false = (car @ X7 @ mactual)) | ($false = (city @ X2 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (event @ X3 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (dirty @ X6 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (eiw_di @ X6 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1260])).
% 2.05/1.99  thf(f1260,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (hollywood @ X2 @ mactual)) | ($false = (event @ X4 @ mactual)) | ($false = ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))))))) | ($false = (event @ X3 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (white @ X6 @ mactual)) | ($false = ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual)))))))) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (car @ X6 @ mactual)) | ($false = (lonely @ X5 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (street @ X5 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (way @ X5 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (dirty @ X6 @ mactual)) | ($false = (chevy @ X7 @ mactual)) | ($false = (city @ X2 @ mactual)) | ($false = (city @ X1 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1259])).
% 2.05/1.99  thf(f1259,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (city @ X2 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (white @ X6 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (car @ X6 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ($false = (event @ X3 @ mactual)) | ($false = (dirty @ X6 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (event @ X4 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual))))))))) | ($false = (way @ X5 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (lonely @ X5 @ mactual)) | ($false = (street @ X5 @ mactual)) | ($false = ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual)))))))) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (hollywood @ X2 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1258])).
% 2.05/1.99  thf(f1258,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (way @ X5 @ mactual)) | ($false = (street @ X5 @ mactual)) | ($false = ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual))))))))) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (event @ X4 @ mactual)) | ($false = (lonely @ X5 @ mactual)) | ($false = (city @ X2 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (hollywood @ X2 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (event @ X3 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (hollywood @ X1 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (white @ X6 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (car @ X6 @ mactual)) | ($false = ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1257])).
% 2.05/1.99  thf(f1257,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (event @ X4 @ mactual)) | ($false = (city @ X2 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ($false = ((lonely @ X5 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))) | ($false = (event @ X3 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (way @ X5 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual))))))))) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (car @ X6 @ mactual)) | ($false = (hollywood @ X2 @ mactual)) | ($false = (white @ X6 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (street @ X5 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (hollywood @ X1 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1256])).
% 2.05/1.99  thf(f1256,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X8 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (event @ X4 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (car @ X6 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual))))))))))) | ($false = (city @ X2 @ mactual)) | ($false = (white @ X6 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (street @ X5 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (event @ X3 @ mactual)) | ($false = ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual))))))))) | ($false = (hollywood @ X2 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1255])).
% 2.05/1.99  thf(f1255,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual)))))))))) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (event @ X3 @ mactual)) | ($false = (street @ X5 @ mactual)) | ($false = (event @ X4 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (hollywood @ X2 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ($false = ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual))))))))))) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (city @ X2 @ mactual)) | ($false = (car @ X6 @ mactual)) | ($false = (eiw_di @ X6 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1254])).
% 2.05/1.99  thf(f1254,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual))))))))))) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual))))))))))) | ($false = (hollywood @ X2 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (event @ X4 @ mactual)) | ($false = (street @ X5 @ mactual)) | ($false = (city @ X2 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (event @ X3 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ($false = (eiw_di @ X8 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1253])).
% 2.05/1.99  thf(f1253,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X5 @ mactual) = $false) | ($false = ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (event @ X3 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (hollywood @ X2 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ($false = (city @ X2 @ mactual)) | ($false = ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual))))))))))) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (event @ X4 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (eiw_di @ X3 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1252])).
% 2.05/1.99  thf(f1252,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (city @ X2 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (hollywood @ X2 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | (((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual))))))))))) = $false) | ($false = (event @ X4 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (event @ X3 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (eiw_di @ X1 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1251])).
% 2.05/1.99  thf(f1251,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (city @ X2 @ mactual)) | ($false = (event @ X3 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = ((event @ X4 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual))))))))))))) | ($false = ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))) | ($false = (hollywood @ X2 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1250])).
% 2.05/1.99  thf(f1250,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (city @ X2 @ mactual)) | ($false = (event @ X3 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | (((city @ X1 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual))))))))))))) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))) | ($false = (hollywood @ X1 @ mactual)) | ($false = (hollywood @ X2 @ mactual)) | ($false = (eiw_di @ X1 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1249])).
% 2.05/1.99  thf(f1249,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X4 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = ((event @ X3 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual))))))))))))) | ($false = (hollywood @ X2 @ mactual)) | (((city @ X1 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual))))))))))))) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (city @ X2 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1248])).
% 2.05/1.99  thf(f1248,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X2 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (hollywood @ X2 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (hollywood @ X1 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | (((city @ X1 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual))))))))))))) = $false)) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1247])).
% 2.05/1.99  thf(f1247,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X6 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = ((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual))))))))))))))) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (hollywood @ X2 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))) | ($false = (eiw_di @ X7 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1246])).
% 2.05/1.99  thf(f1246,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | (((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))) = $false) | ($false = ((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual))))))))))))))) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ($false = (eiw_di @ X1 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1245])).
% 2.05/1.99  thf(f1245,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X4 @ mactual)) | ($false = (eiw_di @ X7 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X8 @ mactual) & (in @ X4 @ X1 @ mactual)))))))))))))) & (eiw_di @ X8 @ mactual))) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | (((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))) = $false) | ($false = (eiw_di @ X3 @ mactual))) )),
% 2.05/1.99    inference(beta_eta_normalization,[status(thm)],[f1244])).
% 2.05/1.99  thf(f1244,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = ((^[Y0 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ Y0 @ mactual) & (in @ X4 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual))) @ X8)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | (((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))) = $false) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (eiw_di @ X7 @ mactual))) )),
% 2.05/1.99    inference(pi_clausification,[status(thm)],[f1243])).
% 2.05/1.99  thf(f1243,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ Y0 @ mactual) & (in @ X4 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual))))) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X7 @ mactual)) | (((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))) = $false) | ($false = (eiw_di @ X4 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1242])).
% 2.05/1.99  thf(f1242,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X4 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))) & (eiw_di @ X7 @ mactual))) | ($false = (eiw_di @ X6 @ mactual)) | ($false = (?? @ $i @ (^[Y0 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ Y0 @ mactual) & (in @ X4 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual)))))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1241])).
% 2.05/1.99  thf(f1241,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X2 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = ((?? @ $i @ (^[Y0 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ Y0 @ mactual) & (in @ X4 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X6 @ mactual))) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))) & (eiw_di @ X7 @ mactual))) | ((eiw_di @ X5 @ mactual) = $false)) )),
% 2.05/1.99    inference(beta_eta_normalization,[status(thm)],[f1240])).
% 2.05/1.99  thf(f1240,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = ((^[Y0 : $i]: (((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ X3 @ Y0 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual))) @ X7)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = ((?? @ $i @ (^[Y0 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ Y0 @ mactual) & (in @ X4 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X6 @ mactual)))) )),
% 2.05/1.99    inference(pi_clausification,[status(thm)],[f1239])).
% 2.05/1.99  thf(f1239,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X1 @ mactual)) | ($false = (?? @ $i @ (^[Y0 : $i]: (((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ X3 @ Y0 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual))))) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = ((?? @ $i @ (^[Y0 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ Y0 @ mactual) & (in @ X4 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X6 @ mactual))) | ($false = (eiw_di @ X3 @ mactual))) )),
% 2.05/1.99    inference(beta_eta_normalization,[status(thm)],[f1238])).
% 2.05/1.99  thf(f1238,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X1 @ mactual)) | ($false = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ X4 @ Y0 @ mactual) & ((down @ X4 @ Y1 @ mactual) & (in @ X4 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X6)) | ($false = (?? @ $i @ (^[Y0 : $i]: (((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ X3 @ Y0 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual))))) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (eiw_di @ X3 @ mactual))) )),
% 2.05/1.99    inference(pi_clausification,[status(thm)],[f1237])).
% 2.05/1.99  thf(f1237,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X4 @ mactual)) | ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ X4 @ Y0 @ mactual) & ((down @ X4 @ Y1 @ mactual) & (in @ X4 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (?? @ $i @ (^[Y0 : $i]: (((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ X3 @ Y0 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual))))) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (eiw_di @ X2 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1236])).
% 2.05/1.99  thf(f1236,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($false = ((?? @ $i @ (^[Y0 : $i]: (((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ X3 @ Y0 @ mactual) & ((down @ X3 @ X5 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X5 @ mactual))) | ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ X4 @ Y0 @ mactual) & ((down @ X4 @ Y1 @ mactual) & (in @ X4 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (eiw_di @ X1 @ mactual))) )),
% 2.05/1.99    inference(beta_eta_normalization,[status(thm)],[f1235])).
% 2.05/1.99  thf(f1235,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X3 @ mactual)) | ($false = (eiw_di @ X4 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((barrel @ X3 @ Y1 @ mactual) & ((down @ X3 @ Y0 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X5)) | ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ X4 @ Y0 @ mactual) & ((down @ X4 @ Y1 @ mactual) & (in @ X4 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ($false = (eiw_di @ X2 @ mactual))) )),
% 2.05/1.99    inference(pi_clausification,[status(thm)],[f1234])).
% 2.05/1.99  thf(f1234,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (eiw_di @ X4 @ mactual)) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((barrel @ X3 @ Y1 @ mactual) & ((down @ X3 @ Y0 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ X4 @ Y0 @ mactual) & ((down @ X4 @ Y1 @ mactual) & (in @ X4 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ($false = (eiw_di @ X1 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1233])).
% 2.05/1.99  thf(f1233,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (eiw_di @ X3 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ X4 @ Y0 @ mactual) & ((down @ X4 @ Y1 @ mactual) & (in @ X4 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X4 @ mactual))) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((barrel @ X3 @ Y1 @ mactual) & ((down @ X3 @ Y0 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))))) )),
% 2.05/1.99    inference(beta_eta_normalization,[status(thm)],[f1232])).
% 2.05/1.99  thf(f1232,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X4)) | ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((barrel @ X3 @ Y1 @ mactual) & ((down @ X3 @ Y0 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ($false = (eiw_di @ X3 @ mactual))) )),
% 2.05/1.99    inference(pi_clausification,[status(thm)],[f1231])).
% 2.05/1.99  thf(f1231,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (eiw_di @ X1 @ mactual)) | ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((barrel @ X3 @ Y1 @ mactual) & ((down @ X3 @ Y0 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ($false = (eiw_di @ X3 @ mactual)) | ($false = (eiw_di @ X2 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1230])).
% 2.05/1.99  thf(f1230,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (eiw_di @ X2 @ mactual)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((barrel @ X3 @ Y1 @ mactual) & ((down @ X3 @ Y0 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X3 @ mactual))) | ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))))) )),
% 2.05/1.99    inference(beta_eta_normalization,[status(thm)],[f1229])).
% 2.05/1.99  thf(f1229,plain,(
% 2.05/1.99    ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((barrel @ Y0 @ Y2 @ mactual) & ((down @ Y0 @ Y1 @ mactual) & (in @ Y0 @ X2 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X3)) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ($false = (eiw_di @ X2 @ mactual))) )),
% 2.05/1.99    inference(pi_clausification,[status(thm)],[f1228])).
% 2.05/1.99  thf(f1228,plain,(
% 2.05/1.99    ( ! [X2 : $i,X1 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((barrel @ Y0 @ Y2 @ mactual) & ((down @ Y0 @ Y1 @ mactual) & (in @ Y0 @ X2 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (eiw_di @ X2 @ mactual))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1227])).
% 2.05/1.99  thf(f1227,plain,(
% 2.05/1.99    ( ! [X2 : $i,X1 : $i] : (($false = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((barrel @ Y0 @ Y2 @ mactual) & ((down @ Y0 @ Y1 @ mactual) & (in @ Y0 @ X2 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X2 @ mactual))) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))))) )),
% 2.05/1.99    inference(beta_eta_normalization,[status(thm)],[f1226])).
% 2.05/1.99  thf(f1226,plain,(
% 2.05/1.99    ( ! [X2 : $i,X1 : $i] : (($false = (eiw_di @ X1 @ mactual)) | ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ($false = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((barrel @ Y1 @ Y3 @ mactual) & ((down @ Y1 @ Y2 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X2))) )),
% 2.05/1.99    inference(pi_clausification,[status(thm)],[f1225])).
% 2.05/1.99  thf(f1225,plain,(
% 2.05/1.99    ( ! [X1 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((barrel @ Y1 @ Y3 @ mactual) & ((down @ Y1 @ Y2 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))))) )),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f1224])).
% 2.05/1.99  thf(f1224,plain,(
% 2.05/1.99    ( ! [X1 : $i] : (($false = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ X1 @ mactual)))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X1 @ mactual))) | ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((barrel @ Y1 @ Y3 @ mactual) & ((down @ Y1 @ Y2 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))))) )),
% 2.05/1.99    inference(beta_eta_normalization,[status(thm)],[f1223])).
% 2.05/1.99  thf(f1223,plain,(
% 2.05/1.99    ( ! [X1 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((barrel @ Y1 @ Y3 @ mactual) & ((down @ Y1 @ Y2 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ($false = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X1))) )),
% 2.05/1.99    inference(pi_clausification,[status(thm)],[f942])).
% 2.05/1.99  thf(f942,plain,(
% 2.05/1.99    ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((barrel @ Y1 @ Y3 @ mactual) & ((down @ Y1 @ Y2 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))))),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f67])).
% 2.05/1.99  thf(f67,plain,(
% 2.05/1.99    ($false = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((barrel @ Y1 @ Y3 @ mactual) & ((down @ Y1 @ Y2 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) => (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))))) | ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((barrel @ Y1 @ Y3 @ mactual) & ((down @ Y1 @ Y2 @ mactual) & (in @ Y1 @ Y0 @ mactual)))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))))),
% 2.05/1.99    inference(binary_proxy_clausification,[status(thm)],[f66])).
% 2.05/1.99  % SZS output end Proof for DTF2THF_1393
% 2.05/1.99  % (1541)------------------------------
% 2.05/1.99  % (1541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.99  % (1541)Termination reason: Refutation
% 2.05/1.99  
% 2.05/1.99  % (1541)Memory used [KB]: 8315
% 2.05/1.99  % (1541)Time elapsed: 0.347 s
% 2.05/1.99  % (1541)Instructions burned: 608 (million)
% 2.05/1.99  % (1541)------------------------------
% 2.05/1.99  % (1541)------------------------------
% 2.05/1.99  % (1520)Success in time 0.439 s
%------------------------------------------------------------------------------