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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : NLP001^3 : 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 : n031.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 09:21:48 AM UTC 2026

% Result   : Theorem 2.05s 1.69s
% Output   : Refutation 2.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   54
%            Number of leaves      :   71
% Syntax   : Number of formulae    :  916 (  21 unt;   0 typ;  66 def)
%            Number of atoms       : 12480 (1629 equ;   0 cnn)
%            Maximal formula atoms :  128 (  13 avg)
%            Number of connectives : 16239 ( 286   ~;1454   |;2669   &;11538   @)
%                                         (  66 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   36 (   3 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :  170 ( 170   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  106 ( 102 usr;  79 con; 0-3 aty)
%                                         (   0  !!; 212  ??;   0 @@+;   0 @@-)
%            Number of variables   :  886 ( 574   ^; 310   !;   2   ?; 886   :)

% 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,
    mforall_di: ( $i > mworld > $o ) > mworld > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(func_def_42,type,
    sK0: mworld > mworld ).

thf(f1703,plain,
    $false,
    inference(avatar_sat_refutation,[status(thm)],[f848,f997,f1002,f1007,f1008,f1013,f1014,f1019,f1020,f1025,f1026,f1027,f1028,f1033,f1034,f1035,f1040,f1041,f1042,f1043,f1044,f1049,f1050,f1051,f1052,f1057,f1058,f1059,f1060,f1065,f1066,f1067,f1068,f1069,f1070,f1071,f1076,f1077,f1078,f1079,f1080,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1097,f1098,f1099,f1100,f1101,f1102,f1107,f1108,f1109,f1110,f1111,f1112,f1113,f1114,f1115,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1141,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1159,f1160,f1161,f1162,f1163,f1164,f1165,f1166,f1167,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f1222,f1223,f1224,f1229,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1283,f1284,f1289,f1294,f1299,f1304,f1309,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1396,f1402,f1404,f1411,f1438,f1444,f1451,f1458,f1466,f1497,f1503,f1510,f1516,f1523,f1531,f1540,f1544,f1551,f1566,f1573,f1579,f1585,f1591,f1599,f1606,f1612,f1618,f1626,f1669,f1675,f1681,f1687,f1696,f1702]) ).

thf(f1702,plain,
    ( ~ spl1_59
    | ~ spl1_90 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1701]) ).

thf(f1701,plain,
    ( $false
    | ~ spl1_59
    | ~ spl1_90 ),
    inference(trivial_inequality_removal,[status(thm)],[f1698]) ).

thf(f1698,plain,
    ( ( $true = $false )
    | ~ spl1_59
    | ~ spl1_90 ),
    inference(superposition,[status(thm)],[f1293,f1651]) ).

thf(f1651,plain,
    ( ( ( old @ sK9 @ mactual )
      = $false )
    | ~ spl1_90 ),
    inference(avatar_component_clause,[status(thm)],[f1649]) ).

thf(f1649,definition,
    ( spl1_90
  <=> ( ( old @ sK9 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_90])],[avatar_definition]) ).

thf(f1293,plain,
    ( ( $true
      = ( old @ sK9 @ mactual ) )
    | ~ spl1_59 ),
    inference(avatar_component_clause,[status(thm)],[f1291]) ).

thf(f1291,definition,
    ( spl1_59
  <=> ( $true
      = ( old @ sK9 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_59])],[avatar_definition]) ).

thf(f1696,plain,
    ( ~ spl1_60
    | ~ spl1_94 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1695]) ).

thf(f1695,plain,
    ( $false
    | ~ spl1_60
    | ~ spl1_94 ),
    inference(trivial_inequality_removal,[status(thm)],[f1692]) ).

thf(f1692,plain,
    ( ( $true = $false )
    | ~ spl1_60
    | ~ spl1_94 ),
    inference(superposition,[status(thm)],[f1298,f1667]) ).

thf(f1667,plain,
    ( ( $false
      = ( dirty @ sK9 @ mactual ) )
    | ~ spl1_94 ),
    inference(avatar_component_clause,[status(thm)],[f1665]) ).

thf(f1665,definition,
    ( spl1_94
  <=> ( $false
      = ( dirty @ sK9 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_94])],[avatar_definition]) ).

thf(f1298,plain,
    ( ( $true
      = ( dirty @ sK9 @ mactual ) )
    | ~ spl1_60 ),
    inference(avatar_component_clause,[status(thm)],[f1296]) ).

thf(f1296,definition,
    ( spl1_60
  <=> ( $true
      = ( dirty @ sK9 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_60])],[avatar_definition]) ).

thf(f1687,plain,
    ( ~ spl1_63
    | ~ spl1_91 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1686]) ).

thf(f1686,plain,
    ( $false
    | ~ spl1_63
    | ~ spl1_91 ),
    inference(trivial_inequality_removal,[status(thm)],[f1683]) ).

thf(f1683,plain,
    ( ( $true = $false )
    | ~ spl1_63
    | ~ spl1_91 ),
    inference(superposition,[status(thm)],[f1313,f1655]) ).

thf(f1655,plain,
    ( ( ( chevy @ sK9 @ mactual )
      = $false )
    | ~ spl1_91 ),
    inference(avatar_component_clause,[status(thm)],[f1653]) ).

thf(f1653,definition,
    ( spl1_91
  <=> ( ( chevy @ sK9 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_91])],[avatar_definition]) ).

thf(f1313,plain,
    ( ( ( chevy @ sK9 @ mactual )
      = $true )
    | ~ spl1_63 ),
    inference(avatar_component_clause,[status(thm)],[f1311]) ).

thf(f1311,definition,
    ( spl1_63
  <=> ( ( chevy @ sK9 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_63])],[avatar_definition]) ).

thf(f1681,plain,
    ( ~ spl1_61
    | ~ spl1_92 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1680]) ).

thf(f1680,plain,
    ( $false
    | ~ spl1_61
    | ~ spl1_92 ),
    inference(trivial_inequality_removal,[status(thm)],[f1677]) ).

thf(f1677,plain,
    ( ( $true = $false )
    | ~ spl1_61
    | ~ spl1_92 ),
    inference(superposition,[status(thm)],[f1303,f1659]) ).

thf(f1659,plain,
    ( ( ( white @ sK9 @ mactual )
      = $false )
    | ~ spl1_92 ),
    inference(avatar_component_clause,[status(thm)],[f1657]) ).

thf(f1657,definition,
    ( spl1_92
  <=> ( ( white @ sK9 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_92])],[avatar_definition]) ).

thf(f1303,plain,
    ( ( ( white @ sK9 @ mactual )
      = $true )
    | ~ spl1_61 ),
    inference(avatar_component_clause,[status(thm)],[f1301]) ).

thf(f1301,definition,
    ( spl1_61
  <=> ( ( white @ sK9 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_61])],[avatar_definition]) ).

thf(f1675,plain,
    ( ~ spl1_62
    | ~ spl1_93 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1674]) ).

thf(f1674,plain,
    ( $false
    | ~ spl1_62
    | ~ spl1_93 ),
    inference(trivial_inequality_removal,[status(thm)],[f1671]) ).

thf(f1671,plain,
    ( ( $true = $false )
    | ~ spl1_62
    | ~ spl1_93 ),
    inference(superposition,[status(thm)],[f1308,f1663]) ).

thf(f1663,plain,
    ( ( $false
      = ( car @ sK9 @ mactual ) )
    | ~ spl1_93 ),
    inference(avatar_component_clause,[status(thm)],[f1661]) ).

thf(f1661,definition,
    ( spl1_93
  <=> ( $false
      = ( car @ sK9 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_93])],[avatar_definition]) ).

thf(f1308,plain,
    ( ( $true
      = ( car @ sK9 @ mactual ) )
    | ~ spl1_62 ),
    inference(avatar_component_clause,[status(thm)],[f1306]) ).

thf(f1306,definition,
    ( spl1_62
  <=> ( $true
      = ( car @ sK9 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_62])],[avatar_definition]) ).

thf(f1669,plain,
    ( spl1_92
    | spl1_90
    | spl1_93
    | spl1_94
    | spl1_91
    | ~ spl1_58
    | ~ spl1_67 ),
    inference(avatar_split_clause,[status(thm)],[f1646,f1337,f1286,f1653,f1665,f1661,f1649,f1657]) ).

thf(f1286,definition,
    ( spl1_58
  <=> ( $true
      = ( barrel @ sK4 @ sK9 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_58])],[avatar_definition]) ).

thf(f1337,definition,
    ( spl1_67
  <=> ! [X1: $i] :
        ( ( ( white @ X1 @ mactual )
          = $false )
        | ( ( car @ X1 @ mactual )
          = $false )
        | ( ( old @ X1 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK4 @ X1 @ mactual ) )
        | ( ( dirty @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X1 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_67])],[avatar_definition]) ).

thf(f1646,plain,
    ( ( ( white @ sK9 @ mactual )
      = $false )
    | ( $false
      = ( dirty @ sK9 @ mactual ) )
    | ( $false
      = ( car @ sK9 @ mactual ) )
    | ( ( old @ sK9 @ mactual )
      = $false )
    | ( ( chevy @ sK9 @ mactual )
      = $false )
    | ~ spl1_58
    | ~ spl1_67 ),
    inference(trivial_inequality_removal,[status(thm)],[f1640]) ).

thf(f1640,plain,
    ( ( $false
      = ( dirty @ sK9 @ mactual ) )
    | ( $false
      = ( car @ sK9 @ mactual ) )
    | ( ( chevy @ sK9 @ mactual )
      = $false )
    | ( $true = $false )
    | ( ( old @ sK9 @ mactual )
      = $false )
    | ( ( white @ sK9 @ mactual )
      = $false )
    | ~ spl1_58
    | ~ spl1_67 ),
    inference(superposition,[status(thm)],[f1338,f1288]) ).

thf(f1288,plain,
    ( ( $true
      = ( barrel @ sK4 @ sK9 @ mactual ) )
    | ~ spl1_58 ),
    inference(avatar_component_clause,[status(thm)],[f1286]) ).

thf(f1338,plain,
    ( ! [X1: $i] :
        ( ( $false
          = ( barrel @ sK4 @ X1 @ mactual ) )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( ( dirty @ X1 @ mactual )
          = $false )
        | ( ( old @ X1 @ mactual )
          = $false )
        | ( ( car @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X1 @ mactual )
          = $false ) )
    | ~ spl1_67 ),
    inference(avatar_component_clause,[status(thm)],[f1337]) ).

thf(f1626,plain,
    ( ~ spl1_45
    | ~ spl1_80 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1625]) ).

thf(f1625,plain,
    ( $false
    | ~ spl1_45
    | ~ spl1_80 ),
    inference(trivial_inequality_removal,[status(thm)],[f1622]) ).

thf(f1622,plain,
    ( ( $true = $false )
    | ~ spl1_45
    | ~ spl1_80 ),
    inference(superposition,[status(thm)],[f1106,f1428]) ).

thf(f1428,plain,
    ( ( $false
      = ( car @ sK10 @ mactual ) )
    | ~ spl1_80 ),
    inference(avatar_component_clause,[status(thm)],[f1426]) ).

thf(f1426,definition,
    ( spl1_80
  <=> ( $false
      = ( car @ sK10 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_80])],[avatar_definition]) ).

thf(f1106,plain,
    ( ( $true
      = ( car @ sK10 @ mactual ) )
    | ~ spl1_45 ),
    inference(avatar_component_clause,[status(thm)],[f1104]) ).

thf(f1104,definition,
    ( spl1_45
  <=> ( $true
      = ( car @ sK10 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_45])],[avatar_definition]) ).

thf(f1618,plain,
    ( ~ spl1_41
    | ~ spl1_78 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1617]) ).

thf(f1617,plain,
    ( $false
    | ~ spl1_41
    | ~ spl1_78 ),
    inference(trivial_inequality_removal,[status(thm)],[f1614]) ).

thf(f1614,plain,
    ( ( $true = $false )
    | ~ spl1_41
    | ~ spl1_78 ),
    inference(superposition,[status(thm)],[f1064,f1420]) ).

thf(f1420,plain,
    ( ( ( dirty @ sK10 @ mactual )
      = $false )
    | ~ spl1_78 ),
    inference(avatar_component_clause,[status(thm)],[f1418]) ).

thf(f1418,definition,
    ( spl1_78
  <=> ( ( dirty @ sK10 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_78])],[avatar_definition]) ).

thf(f1064,plain,
    ( ( ( dirty @ sK10 @ mactual )
      = $true )
    | ~ spl1_41 ),
    inference(avatar_component_clause,[status(thm)],[f1062]) ).

thf(f1062,definition,
    ( spl1_41
  <=> ( ( dirty @ sK10 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_41])],[avatar_definition]) ).

thf(f1612,plain,
    ( ~ spl1_43
    | ~ spl1_79 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1611]) ).

thf(f1611,plain,
    ( $false
    | ~ spl1_43
    | ~ spl1_79 ),
    inference(trivial_inequality_removal,[status(thm)],[f1607]) ).

thf(f1607,plain,
    ( ( $true = $false )
    | ~ spl1_43
    | ~ spl1_79 ),
    inference(superposition,[status(thm)],[f1424,f1084]) ).

thf(f1084,plain,
    ( ( ( white @ sK10 @ mactual )
      = $true )
    | ~ spl1_43 ),
    inference(avatar_component_clause,[status(thm)],[f1082]) ).

thf(f1082,definition,
    ( spl1_43
  <=> ( ( white @ sK10 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_43])],[avatar_definition]) ).

thf(f1424,plain,
    ( ( ( white @ sK10 @ mactual )
      = $false )
    | ~ spl1_79 ),
    inference(avatar_component_clause,[status(thm)],[f1422]) ).

thf(f1422,definition,
    ( spl1_79
  <=> ( ( white @ sK10 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_79])],[avatar_definition]) ).

thf(f1606,plain,
    ( ~ spl1_38
    | ~ spl1_82 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1605]) ).

thf(f1605,plain,
    ( $false
    | ~ spl1_38
    | ~ spl1_82 ),
    inference(trivial_inequality_removal,[status(thm)],[f1601]) ).

thf(f1601,plain,
    ( ( $true = $false )
    | ~ spl1_38
    | ~ spl1_82 ),
    inference(superposition,[status(thm)],[f1436,f1039]) ).

thf(f1039,plain,
    ( ( ( old @ sK10 @ mactual )
      = $true )
    | ~ spl1_38 ),
    inference(avatar_component_clause,[status(thm)],[f1037]) ).

thf(f1037,definition,
    ( spl1_38
  <=> ( ( old @ sK10 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_38])],[avatar_definition]) ).

thf(f1436,plain,
    ( ( ( old @ sK10 @ mactual )
      = $false )
    | ~ spl1_82 ),
    inference(avatar_component_clause,[status(thm)],[f1434]) ).

thf(f1434,definition,
    ( spl1_82
  <=> ( ( old @ sK10 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_82])],[avatar_definition]) ).

thf(f1599,plain,
    ( ~ spl1_46
    | ~ spl1_81 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1598]) ).

thf(f1598,plain,
    ( $false
    | ~ spl1_46
    | ~ spl1_81 ),
    inference(trivial_inequality_removal,[status(thm)],[f1594]) ).

thf(f1594,plain,
    ( ( $true = $false )
    | ~ spl1_46
    | ~ spl1_81 ),
    inference(superposition,[status(thm)],[f1432,f1119]) ).

thf(f1119,plain,
    ( ( ( chevy @ sK10 @ mactual )
      = $true )
    | ~ spl1_46 ),
    inference(avatar_component_clause,[status(thm)],[f1117]) ).

thf(f1117,definition,
    ( spl1_46
  <=> ( ( chevy @ sK10 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_46])],[avatar_definition]) ).

thf(f1432,plain,
    ( ( ( chevy @ sK10 @ mactual )
      = $false )
    | ~ spl1_81 ),
    inference(avatar_component_clause,[status(thm)],[f1430]) ).

thf(f1430,definition,
    ( spl1_81
  <=> ( ( chevy @ sK10 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_81])],[avatar_definition]) ).

thf(f1591,plain,
    ( ~ spl1_51
    | ~ spl1_76 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1590]) ).

thf(f1590,plain,
    ( $false
    | ~ spl1_51
    | ~ spl1_76 ),
    inference(trivial_inequality_removal,[status(thm)],[f1587]) ).

thf(f1587,plain,
    ( ( $true = $false )
    | ~ spl1_51
    | ~ spl1_76 ),
    inference(superposition,[status(thm)],[f1184,f1390]) ).

thf(f1390,plain,
    ( ( ( city @ sK2 @ mactual )
      = $false )
    | ~ spl1_76 ),
    inference(avatar_component_clause,[status(thm)],[f1388]) ).

thf(f1388,definition,
    ( spl1_76
  <=> ( ( city @ sK2 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_76])],[avatar_definition]) ).

thf(f1184,plain,
    ( ( $true
      = ( city @ sK2 @ mactual ) )
    | ~ spl1_51 ),
    inference(avatar_component_clause,[status(thm)],[f1182]) ).

thf(f1182,definition,
    ( spl1_51
  <=> ( $true
      = ( city @ sK2 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_51])],[avatar_definition]) ).

thf(f1585,plain,
    ( ~ spl1_53
    | ~ spl1_77 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1584]) ).

thf(f1584,plain,
    ( $false
    | ~ spl1_53
    | ~ spl1_77 ),
    inference(trivial_inequality_removal,[status(thm)],[f1580]) ).

thf(f1580,plain,
    ( ( $true = $false )
    | ~ spl1_53
    | ~ spl1_77 ),
    inference(superposition,[status(thm)],[f1394,f1214]) ).

thf(f1214,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ~ spl1_53 ),
    inference(avatar_component_clause,[status(thm)],[f1212]) ).

thf(f1212,definition,
    ( spl1_53
  <=> ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_53])],[avatar_definition]) ).

thf(f1394,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $false )
    | ~ spl1_77 ),
    inference(avatar_component_clause,[status(thm)],[f1392]) ).

thf(f1392,definition,
    ( spl1_77
  <=> ( ( hollywood @ sK2 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_77])],[avatar_definition]) ).

thf(f1579,plain,
    ( ~ spl1_56
    | ~ spl1_88 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1578]) ).

thf(f1578,plain,
    ( $false
    | ~ spl1_56
    | ~ spl1_88 ),
    inference(trivial_inequality_removal,[status(thm)],[f1574]) ).

thf(f1574,plain,
    ( ( $true = $false )
    | ~ spl1_56
    | ~ spl1_88 ),
    inference(superposition,[status(thm)],[f1560,f1264]) ).

thf(f1264,plain,
    ( ( ( city @ sK3 @ mactual )
      = $true )
    | ~ spl1_56 ),
    inference(avatar_component_clause,[status(thm)],[f1262]) ).

thf(f1262,definition,
    ( spl1_56
  <=> ( ( city @ sK3 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_56])],[avatar_definition]) ).

thf(f1560,plain,
    ( ( ( city @ sK3 @ mactual )
      = $false )
    | ~ spl1_88 ),
    inference(avatar_component_clause,[status(thm)],[f1558]) ).

thf(f1558,definition,
    ( spl1_88
  <=> ( ( city @ sK3 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_88])],[avatar_definition]) ).

thf(f1573,plain,
    ( ~ spl1_57
    | ~ spl1_89 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1572]) ).

thf(f1572,plain,
    ( $false
    | ~ spl1_57
    | ~ spl1_89 ),
    inference(trivial_inequality_removal,[status(thm)],[f1568]) ).

thf(f1568,plain,
    ( ( $true = $false )
    | ~ spl1_57
    | ~ spl1_89 ),
    inference(superposition,[status(thm)],[f1564,f1282]) ).

thf(f1282,plain,
    ( ( $true
      = ( hollywood @ sK3 @ mactual ) )
    | ~ spl1_57 ),
    inference(avatar_component_clause,[status(thm)],[f1280]) ).

thf(f1280,definition,
    ( spl1_57
  <=> ( $true
      = ( hollywood @ sK3 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_57])],[avatar_definition]) ).

thf(f1564,plain,
    ( ( $false
      = ( hollywood @ sK3 @ mactual ) )
    | ~ spl1_89 ),
    inference(avatar_component_clause,[status(thm)],[f1562]) ).

thf(f1562,definition,
    ( spl1_89
  <=> ( $false
      = ( hollywood @ sK3 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_89])],[avatar_definition]) ).

thf(f1566,plain,
    ( spl1_88
    | spl1_89
    | ~ spl1_31
    | ~ spl1_74 ),
    inference(avatar_split_clause,[status(thm)],[f1555,f1370,f994,f1562,f1558]) ).

thf(f994,definition,
    ( spl1_31
  <=> ( ( in @ sK6 @ sK3 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_31])],[avatar_definition]) ).

thf(f1370,definition,
    ( spl1_74
  <=> ! [X0: $i] :
        ( ( ( in @ sK6 @ X0 @ mactual )
          = $false )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X0 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_74])],[avatar_definition]) ).

thf(f1555,plain,
    ( ( $false
      = ( hollywood @ sK3 @ mactual ) )
    | ( ( city @ sK3 @ mactual )
      = $false )
    | ~ spl1_31
    | ~ spl1_74 ),
    inference(trivial_inequality_removal,[status(thm)],[f1554]) ).

thf(f1554,plain,
    ( ( ( city @ sK3 @ mactual )
      = $false )
    | ( $false
      = ( hollywood @ sK3 @ mactual ) )
    | ( $true = $false )
    | ~ spl1_31
    | ~ spl1_74 ),
    inference(superposition,[status(thm)],[f996,f1371]) ).

thf(f1371,plain,
    ( ! [X0: $i] :
        ( ( ( in @ sK6 @ X0 @ mactual )
          = $false )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X0 @ mactual )
          = $false ) )
    | ~ spl1_74 ),
    inference(avatar_component_clause,[status(thm)],[f1370]) ).

thf(f996,plain,
    ( ( ( in @ sK6 @ sK3 @ mactual )
      = $true )
    | ~ spl1_31 ),
    inference(avatar_component_clause,[status(thm)],[f994]) ).

thf(f1551,plain,
    ( ~ spl1_39
    | ~ spl1_73 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1550]) ).

thf(f1550,plain,
    ( $false
    | ~ spl1_39
    | ~ spl1_73 ),
    inference(trivial_inequality_removal,[status(thm)],[f1546]) ).

thf(f1546,plain,
    ( ( $true = $false )
    | ~ spl1_39
    | ~ spl1_73 ),
    inference(superposition,[status(thm)],[f1368,f1048]) ).

thf(f1048,plain,
    ( ( $true
      = ( street @ sK8 @ mactual ) )
    | ~ spl1_39 ),
    inference(avatar_component_clause,[status(thm)],[f1046]) ).

thf(f1046,definition,
    ( spl1_39
  <=> ( $true
      = ( street @ sK8 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_39])],[avatar_definition]) ).

thf(f1368,plain,
    ( ( $false
      = ( street @ sK8 @ mactual ) )
    | ~ spl1_73 ),
    inference(avatar_component_clause,[status(thm)],[f1366]) ).

thf(f1366,definition,
    ( spl1_73
  <=> ( $false
      = ( street @ sK8 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_73])],[avatar_definition]) ).

thf(f1544,plain,
    ( spl1_74
    | spl1_72
    | spl1_73
    | ~ spl1_1
    | ~ spl1_33
    | spl1_70
    | spl1_71
    | spl1_75 ),
    inference(avatar_split_clause,[status(thm)],[f1543,f1373,f1359,f1355,f1004,f846,f1366,f1363,f1370]) ).

thf(f1363,definition,
    ( spl1_72
  <=> ! [X1: $i] :
        ( ( ( car @ X1 @ mactual )
          = $false )
        | ( ( barrel @ sK6 @ X1 @ mactual )
          = $false )
        | ( ( dirty @ X1 @ mactual )
          = $false )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( ( old @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X1 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_72])],[avatar_definition]) ).

thf(f846,definition,
    ( spl1_1
  <=> ! [X4: $i,X7: $i,X3: $i,X2: $i] :
        ( ( $false
          = ( street @ X4 @ mactual ) )
        | ( ( way @ X4 @ mactual )
          = $false )
        | ( ( lonely @ X4 @ mactual )
          = $false )
        | ( ( white @ X7 @ mactual )
          = $false )
        | ( ( barrel @ X3 @ X7 @ mactual )
          = $false )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( ( event @ X3 @ mactual )
          = $false )
        | ( ( down @ X3 @ X4 @ mactual )
          = $false )
        | ( ( hollywood @ X2 @ mactual )
          = $false )
        | ( ( city @ X2 @ mactual )
          = $false )
        | ( ( chevy @ X7 @ mactual )
          = $false )
        | ( $false
          = ( old @ X7 @ mactual ) )
        | ( ( dirty @ X7 @ mactual )
          = $false )
        | ( ( car @ X7 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_1])],[avatar_definition]) ).

thf(f1004,definition,
    ( spl1_33
  <=> ( ( down @ sK6 @ sK8 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_33])],[avatar_definition]) ).

thf(f1355,definition,
    ( spl1_70
  <=> ( ( event @ sK6 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_70])],[avatar_definition]) ).

thf(f1359,definition,
    ( spl1_71
  <=> ( ( lonely @ sK8 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_71])],[avatar_definition]) ).

thf(f1373,definition,
    ( spl1_75
  <=> ( ( way @ sK8 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_75])],[avatar_definition]) ).

thf(f1543,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( old @ X1 @ mactual )
          = $false )
        | ( ( car @ X1 @ mactual )
          = $false )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( $false
          = ( street @ sK8 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( ( barrel @ sK6 @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X1 @ mactual )
          = $false )
        | ( ( in @ sK6 @ X0 @ mactual )
          = $false )
        | ( ( dirty @ X1 @ mactual )
          = $false )
        | ( ( city @ X0 @ mactual )
          = $false ) )
    | ~ spl1_1
    | ~ spl1_33
    | spl1_70
    | spl1_71
    | spl1_75 ),
    inference(subsumption_resolution,[status(thm)],[f1542,f1374]) ).

thf(f1374,plain,
    ( ( ( way @ sK8 @ mactual )
     != $false )
    | spl1_75 ),
    inference(avatar_component_clause,[status(thm)],[f1373]) ).

thf(f1542,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( in @ sK6 @ X0 @ mactual )
          = $false )
        | ( ( barrel @ sK6 @ X1 @ mactual )
          = $false )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( ( car @ X1 @ mactual )
          = $false )
        | ( ( dirty @ X1 @ mactual )
          = $false )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( $false
          = ( street @ sK8 @ mactual ) )
        | ( ( chevy @ X1 @ mactual )
          = $false )
        | ( ( old @ X1 @ mactual )
          = $false )
        | ( ( way @ sK8 @ mactual )
          = $false )
        | ( ( hollywood @ X0 @ mactual )
          = $false ) )
    | ~ spl1_1
    | ~ spl1_33
    | spl1_70
    | spl1_71 ),
    inference(subsumption_resolution,[status(thm)],[f1541,f1356]) ).

thf(f1356,plain,
    ( ( ( event @ sK6 @ mactual )
     != $false )
    | spl1_70 ),
    inference(avatar_component_clause,[status(thm)],[f1355]) ).

thf(f1541,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $false
          = ( street @ sK8 @ mactual ) )
        | ( ( dirty @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X1 @ mactual )
          = $false )
        | ( ( old @ X1 @ mactual )
          = $false )
        | ( ( in @ sK6 @ X0 @ mactual )
          = $false )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( ( event @ sK6 @ mactual )
          = $false )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( ( barrel @ sK6 @ X1 @ mactual )
          = $false )
        | ( ( car @ X1 @ mactual )
          = $false )
        | ( ( way @ sK8 @ mactual )
          = $false )
        | ( ( city @ X0 @ mactual )
          = $false ) )
    | ~ spl1_1
    | ~ spl1_33
    | spl1_71 ),
    inference(subsumption_resolution,[status(thm)],[f1471,f1360]) ).

thf(f1360,plain,
    ( ( ( lonely @ sK8 @ mactual )
     != $false )
    | spl1_71 ),
    inference(avatar_component_clause,[status(thm)],[f1359]) ).

thf(f1471,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( dirty @ X1 @ mactual )
          = $false )
        | ( ( lonely @ sK8 @ mactual )
          = $false )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( ( in @ sK6 @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( ( barrel @ sK6 @ X1 @ mactual )
          = $false )
        | ( ( event @ sK6 @ mactual )
          = $false )
        | ( ( old @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X1 @ mactual )
          = $false )
        | ( ( car @ X1 @ mactual )
          = $false )
        | ( $false
          = ( street @ sK8 @ mactual ) )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( ( way @ sK8 @ mactual )
          = $false ) )
    | ~ spl1_1
    | ~ spl1_33 ),
    inference(trivial_inequality_removal,[status(thm)],[f1469]) ).

thf(f1469,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( dirty @ X1 @ mactual )
          = $false )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( ( event @ sK6 @ mactual )
          = $false )
        | ( $false
          = ( street @ sK8 @ mactual ) )
        | ( $true = $false )
        | ( ( in @ sK6 @ X0 @ mactual )
          = $false )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( ( car @ X1 @ mactual )
          = $false )
        | ( ( way @ sK8 @ mactual )
          = $false )
        | ( ( lonely @ sK8 @ mactual )
          = $false )
        | ( ( old @ X1 @ mactual )
          = $false )
        | ( ( barrel @ sK6 @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X1 @ mactual )
          = $false )
        | ( ( white @ X1 @ mactual )
          = $false ) )
    | ~ spl1_1
    | ~ spl1_33 ),
    inference(superposition,[status(thm)],[f847,f1006]) ).

thf(f1006,plain,
    ( ( ( down @ sK6 @ sK8 @ mactual )
      = $true )
    | ~ spl1_33 ),
    inference(avatar_component_clause,[status(thm)],[f1004]) ).

thf(f847,plain,
    ( ! [X2: $i,X3: $i,X7: $i,X4: $i] :
        ( ( ( down @ X3 @ X4 @ mactual )
          = $false )
        | ( ( way @ X4 @ mactual )
          = $false )
        | ( ( hollywood @ X2 @ mactual )
          = $false )
        | ( ( barrel @ X3 @ X7 @ mactual )
          = $false )
        | ( ( event @ X3 @ mactual )
          = $false )
        | ( ( chevy @ X7 @ mactual )
          = $false )
        | ( ( in @ X3 @ X2 @ mactual )
          = $false )
        | ( $false
          = ( street @ X4 @ mactual ) )
        | ( ( lonely @ X4 @ mactual )
          = $false )
        | ( $false
          = ( old @ X7 @ mactual ) )
        | ( ( car @ X7 @ mactual )
          = $false )
        | ( ( white @ X7 @ mactual )
          = $false )
        | ( ( city @ X2 @ mactual )
          = $false )
        | ( ( dirty @ X7 @ mactual )
          = $false ) )
    | ~ spl1_1 ),
    inference(avatar_component_clause,[status(thm)],[f846]) ).

thf(f1540,plain,
    ( ~ spl1_55
    | ~ spl1_70 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1539]) ).

thf(f1539,plain,
    ( $false
    | ~ spl1_55
    | ~ spl1_70 ),
    inference(trivial_inequality_removal,[status(thm)],[f1535]) ).

thf(f1535,plain,
    ( ( $true = $false )
    | ~ spl1_55
    | ~ spl1_70 ),
    inference(superposition,[status(thm)],[f1357,f1246]) ).

thf(f1246,plain,
    ( ( ( event @ sK6 @ mactual )
      = $true )
    | ~ spl1_55 ),
    inference(avatar_component_clause,[status(thm)],[f1244]) ).

thf(f1244,definition,
    ( spl1_55
  <=> ( ( event @ sK6 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_55])],[avatar_definition]) ).

thf(f1357,plain,
    ( ( ( event @ sK6 @ mactual )
      = $false )
    | ~ spl1_70 ),
    inference(avatar_component_clause,[status(thm)],[f1355]) ).

thf(f1531,plain,
    ( ~ spl1_40
    | ~ spl1_87 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1530]) ).

thf(f1530,plain,
    ( $false
    | ~ spl1_40
    | ~ spl1_87 ),
    inference(trivial_inequality_removal,[status(thm)],[f1526]) ).

thf(f1526,plain,
    ( ( $true = $false )
    | ~ spl1_40
    | ~ spl1_87 ),
    inference(superposition,[status(thm)],[f1495,f1056]) ).

thf(f1056,plain,
    ( ( ( old @ sK7 @ mactual )
      = $true )
    | ~ spl1_40 ),
    inference(avatar_component_clause,[status(thm)],[f1054]) ).

thf(f1054,definition,
    ( spl1_40
  <=> ( ( old @ sK7 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_40])],[avatar_definition]) ).

thf(f1495,plain,
    ( ( ( old @ sK7 @ mactual )
      = $false )
    | ~ spl1_87 ),
    inference(avatar_component_clause,[status(thm)],[f1493]) ).

thf(f1493,definition,
    ( spl1_87
  <=> ( ( old @ sK7 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_87])],[avatar_definition]) ).

thf(f1523,plain,
    ( ~ spl1_52
    | ~ spl1_85 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1522]) ).

thf(f1522,plain,
    ( $false
    | ~ spl1_52
    | ~ spl1_85 ),
    inference(trivial_inequality_removal,[status(thm)],[f1518]) ).

thf(f1518,plain,
    ( ( $true = $false )
    | ~ spl1_52
    | ~ spl1_85 ),
    inference(superposition,[status(thm)],[f1487,f1197]) ).

thf(f1197,plain,
    ( ( ( car @ sK7 @ mactual )
      = $true )
    | ~ spl1_52 ),
    inference(avatar_component_clause,[status(thm)],[f1195]) ).

thf(f1195,definition,
    ( spl1_52
  <=> ( ( car @ sK7 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_52])],[avatar_definition]) ).

thf(f1487,plain,
    ( ( ( car @ sK7 @ mactual )
      = $false )
    | ~ spl1_85 ),
    inference(avatar_component_clause,[status(thm)],[f1485]) ).

thf(f1485,definition,
    ( spl1_85
  <=> ( ( car @ sK7 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_85])],[avatar_definition]) ).

thf(f1516,plain,
    ( ~ spl1_42
    | ~ spl1_83 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1515]) ).

thf(f1515,plain,
    ( $false
    | ~ spl1_42
    | ~ spl1_83 ),
    inference(trivial_inequality_removal,[status(thm)],[f1511]) ).

thf(f1511,plain,
    ( ( $true = $false )
    | ~ spl1_42
    | ~ spl1_83 ),
    inference(superposition,[status(thm)],[f1479,f1075]) ).

thf(f1075,plain,
    ( ( ( dirty @ sK7 @ mactual )
      = $true )
    | ~ spl1_42 ),
    inference(avatar_component_clause,[status(thm)],[f1073]) ).

thf(f1073,definition,
    ( spl1_42
  <=> ( ( dirty @ sK7 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_42])],[avatar_definition]) ).

thf(f1479,plain,
    ( ( ( dirty @ sK7 @ mactual )
      = $false )
    | ~ spl1_83 ),
    inference(avatar_component_clause,[status(thm)],[f1477]) ).

thf(f1477,definition,
    ( spl1_83
  <=> ( ( dirty @ sK7 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_83])],[avatar_definition]) ).

thf(f1510,plain,
    ( ~ spl1_54
    | ~ spl1_86 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1509]) ).

thf(f1509,plain,
    ( $false
    | ~ spl1_54
    | ~ spl1_86 ),
    inference(trivial_inequality_removal,[status(thm)],[f1505]) ).

thf(f1505,plain,
    ( ( $true = $false )
    | ~ spl1_54
    | ~ spl1_86 ),
    inference(superposition,[status(thm)],[f1491,f1228]) ).

thf(f1228,plain,
    ( ( ( chevy @ sK7 @ mactual )
      = $true )
    | ~ spl1_54 ),
    inference(avatar_component_clause,[status(thm)],[f1226]) ).

thf(f1226,definition,
    ( spl1_54
  <=> ( ( chevy @ sK7 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_54])],[avatar_definition]) ).

thf(f1491,plain,
    ( ( ( chevy @ sK7 @ mactual )
      = $false )
    | ~ spl1_86 ),
    inference(avatar_component_clause,[status(thm)],[f1489]) ).

thf(f1489,definition,
    ( spl1_86
  <=> ( ( chevy @ sK7 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_86])],[avatar_definition]) ).

thf(f1503,plain,
    ( ~ spl1_44
    | ~ spl1_84 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1502]) ).

thf(f1502,plain,
    ( $false
    | ~ spl1_44
    | ~ spl1_84 ),
    inference(trivial_inequality_removal,[status(thm)],[f1498]) ).

thf(f1498,plain,
    ( ( $true = $false )
    | ~ spl1_44
    | ~ spl1_84 ),
    inference(superposition,[status(thm)],[f1483,f1096]) ).

thf(f1096,plain,
    ( ( ( white @ sK7 @ mactual )
      = $true )
    | ~ spl1_44 ),
    inference(avatar_component_clause,[status(thm)],[f1094]) ).

thf(f1094,definition,
    ( spl1_44
  <=> ( ( white @ sK7 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_44])],[avatar_definition]) ).

thf(f1483,plain,
    ( ( ( white @ sK7 @ mactual )
      = $false )
    | ~ spl1_84 ),
    inference(avatar_component_clause,[status(thm)],[f1481]) ).

thf(f1481,definition,
    ( spl1_84
  <=> ( ( white @ sK7 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_84])],[avatar_definition]) ).

thf(f1497,plain,
    ( spl1_87
    | spl1_83
    | spl1_85
    | spl1_86
    | spl1_84
    | ~ spl1_34
    | ~ spl1_72 ),
    inference(avatar_split_clause,[status(thm)],[f1474,f1363,f1010,f1481,f1489,f1485,f1477,f1493]) ).

thf(f1010,definition,
    ( spl1_34
  <=> ( ( barrel @ sK6 @ sK7 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_34])],[avatar_definition]) ).

thf(f1474,plain,
    ( ( ( chevy @ sK7 @ mactual )
      = $false )
    | ( ( dirty @ sK7 @ mactual )
      = $false )
    | ( ( old @ sK7 @ mactual )
      = $false )
    | ( ( white @ sK7 @ mactual )
      = $false )
    | ( ( car @ sK7 @ mactual )
      = $false )
    | ~ spl1_34
    | ~ spl1_72 ),
    inference(trivial_inequality_removal,[status(thm)],[f1473]) ).

thf(f1473,plain,
    ( ( ( white @ sK7 @ mactual )
      = $false )
    | ( ( dirty @ sK7 @ mactual )
      = $false )
    | ( $true = $false )
    | ( ( car @ sK7 @ mactual )
      = $false )
    | ( ( old @ sK7 @ mactual )
      = $false )
    | ( ( chevy @ sK7 @ mactual )
      = $false )
    | ~ spl1_34
    | ~ spl1_72 ),
    inference(superposition,[status(thm)],[f1012,f1364]) ).

thf(f1364,plain,
    ( ! [X1: $i] :
        ( ( ( barrel @ sK6 @ X1 @ mactual )
          = $false )
        | ( ( car @ X1 @ mactual )
          = $false )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( ( chevy @ X1 @ mactual )
          = $false )
        | ( ( old @ X1 @ mactual )
          = $false )
        | ( ( dirty @ X1 @ mactual )
          = $false ) )
    | ~ spl1_72 ),
    inference(avatar_component_clause,[status(thm)],[f1363]) ).

thf(f1012,plain,
    ( ( ( barrel @ sK6 @ sK7 @ mactual )
      = $true )
    | ~ spl1_34 ),
    inference(avatar_component_clause,[status(thm)],[f1010]) ).

thf(f1466,plain,
    ( ~ spl1_37
    | ~ spl1_75 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1465]) ).

thf(f1465,plain,
    ( $false
    | ~ spl1_37
    | ~ spl1_75 ),
    inference(trivial_inequality_removal,[status(thm)],[f1461]) ).

thf(f1461,plain,
    ( ( $true = $false )
    | ~ spl1_37
    | ~ spl1_75 ),
    inference(superposition,[status(thm)],[f1375,f1032]) ).

thf(f1032,plain,
    ( ( ( way @ sK8 @ mactual )
      = $true )
    | ~ spl1_37 ),
    inference(avatar_component_clause,[status(thm)],[f1030]) ).

thf(f1030,definition,
    ( spl1_37
  <=> ( ( way @ sK8 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_37])],[avatar_definition]) ).

thf(f1375,plain,
    ( ( ( way @ sK8 @ mactual )
      = $false )
    | ~ spl1_75 ),
    inference(avatar_component_clause,[status(thm)],[f1373]) ).

thf(f1458,plain,
    ( ~ spl1_35
    | ~ spl1_71 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1457]) ).

thf(f1457,plain,
    ( $false
    | ~ spl1_35
    | ~ spl1_71 ),
    inference(trivial_inequality_removal,[status(thm)],[f1453]) ).

thf(f1453,plain,
    ( ( $true = $false )
    | ~ spl1_35
    | ~ spl1_71 ),
    inference(superposition,[status(thm)],[f1361,f1018]) ).

thf(f1018,plain,
    ( ( ( lonely @ sK8 @ mactual )
      = $true )
    | ~ spl1_35 ),
    inference(avatar_component_clause,[status(thm)],[f1016]) ).

thf(f1016,definition,
    ( spl1_35
  <=> ( ( lonely @ sK8 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_35])],[avatar_definition]) ).

thf(f1361,plain,
    ( ( ( lonely @ sK8 @ mactual )
      = $false )
    | ~ spl1_71 ),
    inference(avatar_component_clause,[status(thm)],[f1359]) ).

thf(f1451,plain,
    ( ~ spl1_48
    | ~ spl1_69 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1450]) ).

thf(f1450,plain,
    ( $false
    | ~ spl1_48
    | ~ spl1_69 ),
    inference(trivial_inequality_removal,[status(thm)],[f1447]) ).

thf(f1447,plain,
    ( ( $true = $false )
    | ~ spl1_48
    | ~ spl1_69 ),
    inference(superposition,[status(thm)],[f1145,f1346]) ).

thf(f1346,plain,
    ( ( $false
      = ( way @ sK5 @ mactual ) )
    | ~ spl1_69 ),
    inference(avatar_component_clause,[status(thm)],[f1344]) ).

thf(f1344,definition,
    ( spl1_69
  <=> ( $false
      = ( way @ sK5 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_69])],[avatar_definition]) ).

thf(f1145,plain,
    ( ( $true
      = ( way @ sK5 @ mactual ) )
    | ~ spl1_48 ),
    inference(avatar_component_clause,[status(thm)],[f1143]) ).

thf(f1143,definition,
    ( spl1_48
  <=> ( $true
      = ( way @ sK5 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_48])],[avatar_definition]) ).

thf(f1444,plain,
    ( ~ spl1_49
    | ~ spl1_68 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1443]) ).

thf(f1443,plain,
    ( $false
    | ~ spl1_49
    | ~ spl1_68 ),
    inference(trivial_inequality_removal,[status(thm)],[f1439]) ).

thf(f1439,plain,
    ( ( $true = $false )
    | ~ spl1_49
    | ~ spl1_68 ),
    inference(superposition,[status(thm)],[f1342,f1158]) ).

thf(f1158,plain,
    ( ( ( street @ sK5 @ mactual )
      = $true )
    | ~ spl1_49 ),
    inference(avatar_component_clause,[status(thm)],[f1156]) ).

thf(f1156,definition,
    ( spl1_49
  <=> ( ( street @ sK5 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_49])],[avatar_definition]) ).

thf(f1342,plain,
    ( ( ( street @ sK5 @ mactual )
      = $false )
    | ~ spl1_68 ),
    inference(avatar_component_clause,[status(thm)],[f1340]) ).

thf(f1340,definition,
    ( spl1_68
  <=> ( ( street @ sK5 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_68])],[avatar_definition]) ).

thf(f1438,plain,
    ( spl1_80
    | spl1_79
    | spl1_82
    | spl1_81
    | spl1_78
    | ~ spl1_36
    | ~ spl1_67 ),
    inference(avatar_split_clause,[status(thm)],[f1415,f1337,f1022,f1418,f1430,f1434,f1422,f1426]) ).

thf(f1022,definition,
    ( spl1_36
  <=> ( ( barrel @ sK4 @ sK10 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_36])],[avatar_definition]) ).

thf(f1415,plain,
    ( ( ( dirty @ sK10 @ mactual )
      = $false )
    | ( ( chevy @ sK10 @ mactual )
      = $false )
    | ( $false
      = ( car @ sK10 @ mactual ) )
    | ( ( white @ sK10 @ mactual )
      = $false )
    | ( ( old @ sK10 @ mactual )
      = $false )
    | ~ spl1_36
    | ~ spl1_67 ),
    inference(trivial_inequality_removal,[status(thm)],[f1413]) ).

thf(f1413,plain,
    ( ( ( old @ sK10 @ mactual )
      = $false )
    | ( ( white @ sK10 @ mactual )
      = $false )
    | ( ( chevy @ sK10 @ mactual )
      = $false )
    | ( ( dirty @ sK10 @ mactual )
      = $false )
    | ( $false
      = ( car @ sK10 @ mactual ) )
    | ( $true = $false )
    | ~ spl1_36
    | ~ spl1_67 ),
    inference(superposition,[status(thm)],[f1338,f1024]) ).

thf(f1024,plain,
    ( ( ( barrel @ sK4 @ sK10 @ mactual )
      = $true )
    | ~ spl1_36 ),
    inference(avatar_component_clause,[status(thm)],[f1022]) ).

thf(f1411,plain,
    ( ~ spl1_47
    | ~ spl1_66 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1410]) ).

thf(f1410,plain,
    ( $false
    | ~ spl1_47
    | ~ spl1_66 ),
    inference(trivial_inequality_removal,[status(thm)],[f1406]) ).

thf(f1406,plain,
    ( ( $true = $false )
    | ~ spl1_47
    | ~ spl1_66 ),
    inference(superposition,[status(thm)],[f1335,f1132]) ).

thf(f1132,plain,
    ( ( ( lonely @ sK5 @ mactual )
      = $true )
    | ~ spl1_47 ),
    inference(avatar_component_clause,[status(thm)],[f1130]) ).

thf(f1130,definition,
    ( spl1_47
  <=> ( ( lonely @ sK5 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_47])],[avatar_definition]) ).

thf(f1335,plain,
    ( ( ( lonely @ sK5 @ mactual )
      = $false )
    | ~ spl1_66 ),
    inference(avatar_component_clause,[status(thm)],[f1333]) ).

thf(f1333,definition,
    ( spl1_66
  <=> ( ( lonely @ sK5 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_66])],[avatar_definition]) ).

thf(f1404,plain,
    ( spl1_68
    | spl1_65
    | spl1_67
    | spl1_66
    | spl1_69
    | spl1_64
    | ~ spl1_1
    | ~ spl1_32 ),
    inference(avatar_split_clause,[status(thm)],[f1381,f999,f846,f1326,f1344,f1333,f1337,f1329,f1340]) ).

thf(f1329,definition,
    ( spl1_65
  <=> ( ( event @ sK4 @ mactual )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl1_65])],[avatar_definition]) ).

thf(f1326,definition,
    ( spl1_64
  <=> ! [X0: $i] :
        ( ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK4 @ X0 @ mactual ) )
        | ( ( city @ X0 @ mactual )
          = $false ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_64])],[avatar_definition]) ).

thf(f999,definition,
    ( spl1_32
  <=> ( $true
      = ( down @ sK4 @ sK5 @ mactual ) ) ),
    introduced(definition,[new_symbols(naming,[spl1_32])],[avatar_definition]) ).

thf(f1381,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( old @ X1 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK4 @ X1 @ mactual ) )
        | ( ( street @ sK5 @ mactual )
          = $false )
        | ( $false
          = ( way @ sK5 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( ( white @ X1 @ mactual )
          = $false )
        | ( ( lonely @ sK5 @ mactual )
          = $false )
        | ( ( event @ sK4 @ mactual )
          = $false )
        | ( ( car @ X1 @ mactual )
          = $false )
        | ( ( dirty @ X1 @ mactual )
          = $false )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK4 @ X0 @ mactual ) )
        | ( ( chevy @ X1 @ mactual )
          = $false ) )
    | ~ spl1_1
    | ~ spl1_32 ),
    inference(trivial_inequality_removal,[status(thm)],[f1378]) ).

thf(f1378,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true = $false )
        | ( ( old @ X1 @ mactual )
          = $false )
        | ( $false
          = ( barrel @ sK4 @ X1 @ mactual ) )
        | ( ( chevy @ X1 @ mactual )
          = $false )
        | ( ( street @ sK5 @ mactual )
          = $false )
        | ( ( dirty @ X1 @ mactual )
          = $false )
        | ( $false
          = ( in @ sK4 @ X0 @ mactual ) )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( ( car @ X1 @ mactual )
          = $false )
        | ( ( lonely @ sK5 @ mactual )
          = $false )
        | ( $false
          = ( way @ sK5 @ mactual ) )
        | ( ( hollywood @ X0 @ mactual )
          = $false )
        | ( ( event @ sK4 @ mactual )
          = $false )
        | ( ( white @ X1 @ mactual )
          = $false ) )
    | ~ spl1_1
    | ~ spl1_32 ),
    inference(superposition,[status(thm)],[f1001,f847]) ).

thf(f1001,plain,
    ( ( $true
      = ( down @ sK4 @ sK5 @ mactual ) )
    | ~ spl1_32 ),
    inference(avatar_component_clause,[status(thm)],[f999]) ).

thf(f1402,plain,
    ( ~ spl1_50
    | ~ spl1_65 ),
    inference(avatar_contradiction_clause,[status(thm)],[f1401]) ).

thf(f1401,plain,
    ( $false
    | ~ spl1_50
    | ~ spl1_65 ),
    inference(trivial_inequality_removal,[status(thm)],[f1397]) ).

thf(f1397,plain,
    ( ( $true = $false )
    | ~ spl1_50
    | ~ spl1_65 ),
    inference(superposition,[status(thm)],[f1331,f1171]) ).

thf(f1171,plain,
    ( ( ( event @ sK4 @ mactual )
      = $true )
    | ~ spl1_50 ),
    inference(avatar_component_clause,[status(thm)],[f1169]) ).

thf(f1169,definition,
    ( spl1_50
  <=> ( ( event @ sK4 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_50])],[avatar_definition]) ).

thf(f1331,plain,
    ( ( ( event @ sK4 @ mactual )
      = $false )
    | ~ spl1_65 ),
    inference(avatar_component_clause,[status(thm)],[f1329]) ).

thf(f1396,plain,
    ( spl1_76
    | spl1_77
    | ~ spl1_30
    | ~ spl1_64 ),
    inference(avatar_split_clause,[status(thm)],[f1385,f1326,f990,f1392,f1388]) ).

thf(f990,definition,
    ( spl1_30
  <=> ( ( in @ sK4 @ sK2 @ mactual )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl1_30])],[avatar_definition]) ).

thf(f1385,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $false )
    | ( ( city @ sK2 @ mactual )
      = $false )
    | ~ spl1_30
    | ~ spl1_64 ),
    inference(trivial_inequality_removal,[status(thm)],[f1384]) ).

thf(f1384,plain,
    ( ( ( city @ sK2 @ mactual )
      = $false )
    | ( ( hollywood @ sK2 @ mactual )
      = $false )
    | ( $true = $false )
    | ~ spl1_30
    | ~ spl1_64 ),
    inference(superposition,[status(thm)],[f992,f1327]) ).

thf(f1327,plain,
    ( ! [X0: $i] :
        ( ( $false
          = ( in @ sK4 @ X0 @ mactual ) )
        | ( ( city @ X0 @ mactual )
          = $false )
        | ( ( hollywood @ X0 @ mactual )
          = $false ) )
    | ~ spl1_64 ),
    inference(avatar_component_clause,[status(thm)],[f1326]) ).

thf(f992,plain,
    ( ( ( in @ sK4 @ sK2 @ mactual )
      = $true )
    | ~ spl1_30 ),
    inference(avatar_component_clause,[status(thm)],[f990]) ).

thf(f1320,plain,
    ( spl1_53
    | spl1_57 ),
    inference(avatar_split_clause,[status(thm)],[f79,f1280,f1212]) ).

thf(f79,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( $true
      = ( hollywood @ sK3 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f77]) ).

thf(f77,plain,
    ( ( $true
      = ( hollywood @ sK3 @ mactual ) )
    | ( ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK9 @ mactual )
        & ( car @ sK9 @ mactual )
        & ( white @ sK9 @ mactual )
        & ( dirty @ sK9 @ mactual )
        & ( old @ sK9 @ mactual )
        & ( barrel @ sK4 @ sK9 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f76]) ).

thf(f76,plain,
    ( ( $true
      = ( hollywood @ sK3 @ mactual ) )
    | ( ( ^ [Y0: $i] :
            ( ( hollywood @ sK2 @ mactual )
            & ( city @ sK2 @ mactual )
            & ( event @ sK4 @ mactual )
            & ( street @ sK5 @ mactual )
            & ( way @ sK5 @ mactual )
            & ( lonely @ sK5 @ mactual )
            & ( chevy @ Y0 @ mactual )
            & ( car @ Y0 @ mactual )
            & ( white @ Y0 @ mactual )
            & ( dirty @ Y0 @ mactual )
            & ( old @ Y0 @ mactual )
            & ( barrel @ sK4 @ Y0 @ mactual )
            & ( down @ sK4 @ sK5 @ mactual )
            & ( in @ sK4 @ sK2 @ mactual ) )
        @ sK9 )
      = $true ) ),
    inference(sigma_clausification,[status(thm)],[f75]) ).

thf(f75,plain,
    ( ( $true
      = ( hollywood @ sK3 @ mactual ) )
    | ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( hollywood @ sK2 @ mactual )
            & ( city @ sK2 @ mactual )
            & ( event @ sK4 @ mactual )
            & ( street @ sK5 @ mactual )
            & ( way @ sK5 @ mactual )
            & ( lonely @ sK5 @ mactual )
            & ( chevy @ Y0 @ mactual )
            & ( car @ Y0 @ mactual )
            & ( white @ Y0 @ mactual )
            & ( dirty @ Y0 @ mactual )
            & ( old @ Y0 @ mactual )
            & ( barrel @ sK4 @ Y0 @ mactual )
            & ( down @ sK4 @ sK5 @ mactual )
            & ( in @ sK4 @ sK2 @ mactual ) ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f73]) ).

thf(f73,plain,
    ( ( ( ( hollywood @ sK3 @ mactual )
        & ( city @ sK3 @ mactual )
        & ( event @ sK6 @ mactual )
        & ( chevy @ sK7 @ mactual )
        & ( car @ sK7 @ mactual )
        & ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( hollywood @ sK2 @ mactual )
            & ( city @ sK2 @ mactual )
            & ( event @ sK4 @ mactual )
            & ( street @ sK5 @ mactual )
            & ( way @ sK5 @ mactual )
            & ( lonely @ sK5 @ mactual )
            & ( chevy @ Y0 @ mactual )
            & ( car @ Y0 @ mactual )
            & ( white @ Y0 @ mactual )
            & ( dirty @ Y0 @ mactual )
            & ( old @ Y0 @ mactual )
            & ( barrel @ sK4 @ Y0 @ mactual )
            & ( down @ sK4 @ sK5 @ mactual )
            & ( in @ sK4 @ sK2 @ mactual ) ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f72]) ).

thf(f72,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( hollywood @ sK3 @ mactual )
            & ( city @ sK3 @ mactual )
            & ( event @ sK6 @ mactual )
            & ( chevy @ sK7 @ mactual )
            & ( car @ sK7 @ mactual )
            & ( white @ sK7 @ mactual )
            & ( dirty @ sK7 @ mactual )
            & ( old @ sK7 @ mactual )
            & ( street @ Y0 @ mactual )
            & ( way @ Y0 @ mactual )
            & ( lonely @ Y0 @ mactual )
            & ( barrel @ sK6 @ sK7 @ mactual )
            & ( down @ sK6 @ Y0 @ mactual )
            & ( in @ sK6 @ sK3 @ mactual ) )
        @ sK8 )
      = $true )
    | ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( hollywood @ sK2 @ mactual )
            & ( city @ sK2 @ mactual )
            & ( event @ sK4 @ mactual )
            & ( street @ sK5 @ mactual )
            & ( way @ sK5 @ mactual )
            & ( lonely @ sK5 @ mactual )
            & ( chevy @ Y0 @ mactual )
            & ( car @ Y0 @ mactual )
            & ( white @ Y0 @ mactual )
            & ( dirty @ Y0 @ mactual )
            & ( old @ Y0 @ mactual )
            & ( barrel @ sK4 @ Y0 @ mactual )
            & ( down @ sK4 @ sK5 @ mactual )
            & ( in @ sK4 @ sK2 @ mactual ) ) ) ) ),
    inference(sigma_clausification,[status(thm)],[f71]) ).

thf(f71,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( hollywood @ sK3 @ mactual )
            & ( city @ sK3 @ mactual )
            & ( event @ sK6 @ mactual )
            & ( chevy @ sK7 @ mactual )
            & ( car @ sK7 @ mactual )
            & ( white @ sK7 @ mactual )
            & ( dirty @ sK7 @ mactual )
            & ( old @ sK7 @ mactual )
            & ( street @ Y0 @ mactual )
            & ( way @ Y0 @ mactual )
            & ( lonely @ Y0 @ mactual )
            & ( barrel @ sK6 @ sK7 @ mactual )
            & ( down @ sK6 @ Y0 @ mactual )
            & ( in @ sK6 @ sK3 @ mactual ) ) )
      = $true )
    | ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( hollywood @ sK2 @ mactual )
            & ( city @ sK2 @ mactual )
            & ( event @ sK4 @ mactual )
            & ( street @ sK5 @ mactual )
            & ( way @ sK5 @ mactual )
            & ( lonely @ sK5 @ mactual )
            & ( chevy @ Y0 @ mactual )
            & ( car @ Y0 @ mactual )
            & ( white @ Y0 @ mactual )
            & ( dirty @ Y0 @ mactual )
            & ( old @ Y0 @ mactual )
            & ( barrel @ sK4 @ Y0 @ mactual )
            & ( down @ sK4 @ sK5 @ mactual )
            & ( in @ sK4 @ sK2 @ mactual ) ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f70]) ).

thf(f70,plain,
    ( ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( hollywood @ sK2 @ mactual )
            & ( city @ sK2 @ mactual )
            & ( event @ sK4 @ mactual )
            & ( street @ sK5 @ mactual )
            & ( way @ sK5 @ mactual )
            & ( lonely @ sK5 @ mactual )
            & ( chevy @ Y0 @ mactual )
            & ( car @ Y0 @ mactual )
            & ( white @ Y0 @ mactual )
            & ( dirty @ Y0 @ mactual )
            & ( old @ Y0 @ mactual )
            & ( barrel @ sK4 @ Y0 @ mactual )
            & ( down @ sK4 @ sK5 @ mactual )
            & ( in @ sK4 @ sK2 @ mactual ) ) ) )
    | ( $true
      = ( ^ [Y0: $i] :
            ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ( hollywood @ sK3 @ mactual )
                & ( city @ sK3 @ mactual )
                & ( event @ sK6 @ 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 @ sK6 @ Y0 @ mactual )
                & ( down @ sK6 @ Y1 @ mactual )
                & ( in @ sK6 @ sK3 @ mactual ) ) )
        @ sK7 ) ) ),
    inference(sigma_clausification,[status(thm)],[f69]) ).

thf(f69,plain,
    ( ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ( hollywood @ sK3 @ mactual )
                & ( city @ sK3 @ mactual )
                & ( event @ sK6 @ 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 @ sK6 @ Y0 @ mactual )
                & ( down @ sK6 @ Y1 @ mactual )
                & ( in @ sK6 @ sK3 @ mactual ) ) ) ) )
    | ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( hollywood @ sK2 @ mactual )
            & ( city @ sK2 @ mactual )
            & ( event @ sK4 @ mactual )
            & ( street @ sK5 @ mactual )
            & ( way @ sK5 @ mactual )
            & ( lonely @ sK5 @ mactual )
            & ( chevy @ Y0 @ mactual )
            & ( car @ Y0 @ mactual )
            & ( white @ Y0 @ mactual )
            & ( dirty @ Y0 @ mactual )
            & ( old @ Y0 @ mactual )
            & ( barrel @ sK4 @ Y0 @ mactual )
            & ( down @ sK4 @ sK5 @ mactual )
            & ( in @ sK4 @ sK2 @ mactual ) ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f68]) ).

thf(f68,plain,
    ( ( $true
      = ( ^ [Y0: $i] :
            ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ?? @ $i
                @ ^ [Y2: $i] :
                    ( ( hollywood @ sK3 @ mactual )
                    & ( city @ sK3 @ 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 @ sK3 @ mactual ) ) ) )
        @ sK6 ) )
    | ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( hollywood @ sK2 @ mactual )
            & ( city @ sK2 @ mactual )
            & ( event @ sK4 @ mactual )
            & ( street @ sK5 @ mactual )
            & ( way @ sK5 @ mactual )
            & ( lonely @ sK5 @ mactual )
            & ( chevy @ Y0 @ mactual )
            & ( car @ Y0 @ mactual )
            & ( white @ Y0 @ mactual )
            & ( dirty @ Y0 @ mactual )
            & ( old @ Y0 @ mactual )
            & ( barrel @ sK4 @ Y0 @ mactual )
            & ( down @ sK4 @ sK5 @ mactual )
            & ( in @ sK4 @ sK2 @ mactual ) ) ) ) ),
    inference(sigma_clausification,[status(thm)],[f67]) ).

thf(f67,plain,
    ( ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ?? @ $i
                @ ^ [Y2: $i] :
                    ( ( hollywood @ sK3 @ mactual )
                    & ( city @ sK3 @ 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 @ sK3 @ mactual ) ) ) ) ) )
    | ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( hollywood @ sK2 @ mactual )
            & ( city @ sK2 @ mactual )
            & ( event @ sK4 @ mactual )
            & ( street @ sK5 @ mactual )
            & ( way @ sK5 @ mactual )
            & ( lonely @ sK5 @ mactual )
            & ( chevy @ Y0 @ mactual )
            & ( car @ Y0 @ mactual )
            & ( white @ Y0 @ mactual )
            & ( dirty @ Y0 @ mactual )
            & ( old @ Y0 @ mactual )
            & ( barrel @ sK4 @ Y0 @ mactual )
            & ( down @ sK4 @ sK5 @ mactual )
            & ( in @ sK4 @ sK2 @ mactual ) ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f66]) ).

thf(f66,plain,
    ( ( ( ^ [Y0: $i] :
            ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ( hollywood @ sK2 @ mactual )
                & ( city @ sK2 @ mactual )
                & ( event @ sK4 @ 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 @ sK4 @ Y1 @ mactual )
                & ( down @ sK4 @ Y0 @ mactual )
                & ( in @ sK4 @ sK2 @ mactual ) ) )
        @ sK5 )
      = $true )
    | ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ?? @ $i
                @ ^ [Y2: $i] :
                    ( ( hollywood @ sK3 @ mactual )
                    & ( city @ sK3 @ 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 @ sK3 @ mactual ) ) ) ) ) ) ),
    inference(sigma_clausification,[status(thm)],[f65]) ).

thf(f65,plain,
    ( ( ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ( hollywood @ sK2 @ mactual )
                & ( city @ sK2 @ mactual )
                & ( event @ sK4 @ 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 @ sK4 @ Y1 @ mactual )
                & ( down @ sK4 @ Y0 @ mactual )
                & ( in @ sK4 @ sK2 @ mactual ) ) ) )
      = $true )
    | ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ?? @ $i
                @ ^ [Y2: $i] :
                    ( ( hollywood @ sK3 @ mactual )
                    & ( city @ sK3 @ 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 @ sK3 @ mactual ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f64]) ).

thf(f64,plain,
    ( ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ?? @ $i
                @ ^ [Y2: $i] :
                    ( ( hollywood @ sK3 @ mactual )
                    & ( city @ sK3 @ 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 @ sK3 @ mactual ) ) ) ) ) )
    | ( ( ^ [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 ) ) ) )
        @ sK4 )
      = $true ) ),
    inference(sigma_clausification,[status(thm)],[f63]) ).

thf(f63,plain,
    ( ( $true
      = ( ?? @ $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 ) ) ) ) ) )
    | ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ?? @ $i
                @ ^ [Y2: $i] :
                    ( ( hollywood @ sK3 @ mactual )
                    & ( city @ sK3 @ 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 @ sK3 @ mactual ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f62]) ).

thf(f62,plain,
    ( ( ( ^ [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 ) ) ) ) )
        @ sK3 )
      = $true )
    | ( $true
      = ( ?? @ $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 ) ) ) ) ) ) ),
    inference(sigma_clausification,[status(thm)],[f61]) ).

thf(f61,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 ) ) ) ) ) )
      = $true )
    | ( $true
      = ( ?? @ $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 ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f60]) ).

thf(f60,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 ) ) ) ) )
        @ 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 ) ) ) ) ) )
      = $true ) ),
    inference(sigma_clausification,[status(thm)],[f59]) ).

thf(f59,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 ) ) ) ) ) )
      = $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 ) ) ) ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f57]) ).

thf(f57,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 ) ) ) ) ) )
       => ( ?? @ $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 ) ) ) ) ) ) )
      = $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 ) ) ) ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f55]) ).

thf(f55,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 ) ) ) ) ) )
       => ( ?? @ $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 ) ) ) ) ) ) )
      = $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 ) ) ) ) ) )
       => ( ?? @ $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 ) ) ) ) ) ) )
      = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f54]) ).

thf(f54,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 ) ) ) ) ) )
       => ( ?? @ $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 ) ) ) ) ) ) )
      & ( ( ?? @ $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 ) ) ) ) ) )
       => ( ?? @ $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 ) ) ) ) ) ) ) )
   != $true ),
    inference(beta_eta_normalization,[status(thm)],[f53]) ).

thf(f53,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 ) )
            @ ^ [Y0: $i] :
                ( ^ [Y1: $i > mworld > $o,Y2: mworld] :
                    ( ?? @ $i
                    @ ^ [Y3: $i] : ( Y1 @ Y3 @ Y2 ) )
                @ ^ [Y1: $i] :
                    ( ^ [Y2: $i > mworld > $o,Y3: mworld] :
                        ( ?? @ $i
                        @ ^ [Y4: $i] : ( Y2 @ Y4 @ Y3 ) )
                    @ ^ [Y2: $i] :
                        ( ^ [Y3: $i > mworld > $o,Y4: mworld] :
                            ( ?? @ $i
                            @ ^ [Y5: $i] : ( Y3 @ 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 ) )
            @ ^ [Y0: $i] :
                ( ^ [Y1: $i > mworld > $o,Y2: mworld] :
                    ( ?? @ $i
                    @ ^ [Y3: $i] : ( Y1 @ Y3 @ Y2 ) )
                @ ^ [Y1: $i] :
                    ( ^ [Y2: $i > mworld > $o,Y3: mworld] :
                        ( ?? @ $i
                        @ ^ [Y4: $i] : ( Y2 @ Y4 @ Y3 ) )
                    @ ^ [Y2: $i] :
                        ( ^ [Y3: $i > mworld > $o,Y4: mworld] :
                            ( ?? @ $i
                            @ ^ [Y5: $i] : ( Y3 @ 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 ) )
            @ ^ [Y0: $i] :
                ( ^ [Y1: $i > mworld > $o,Y2: mworld] :
                    ( ?? @ $i
                    @ ^ [Y3: $i] : ( Y1 @ Y3 @ Y2 ) )
                @ ^ [Y1: $i] :
                    ( ^ [Y2: $i > mworld > $o,Y3: mworld] :
                        ( ?? @ $i
                        @ ^ [Y4: $i] : ( Y2 @ Y4 @ Y3 ) )
                    @ ^ [Y2: $i] :
                        ( ^ [Y3: $i > mworld > $o,Y4: mworld] :
                            ( ?? @ $i
                            @ ^ [Y5: $i] : ( Y3 @ 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 ) )
            @ ^ [Y0: $i] :
                ( ^ [Y1: $i > mworld > $o,Y2: mworld] :
                    ( ?? @ $i
                    @ ^ [Y3: $i] : ( Y1 @ Y3 @ Y2 ) )
                @ ^ [Y1: $i] :
                    ( ^ [Y2: $i > mworld > $o,Y3: mworld] :
                        ( ?? @ $i
                        @ ^ [Y4: $i] : ( Y2 @ Y4 @ Y3 ) )
                    @ ^ [Y2: $i] :
                        ( ^ [Y3: $i > mworld > $o,Y4: mworld] :
                            ( ?? @ $i
                            @ ^ [Y5: $i] : ( Y3 @ 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)],[f49,f48,f51,f41,f46,f46,f46,f46,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f46,f46,f46,f46,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f41,f46,f46,f46,f46,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f46,f46,f46,f46,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51]) ).

thf(f46,plain,
    ( mexists_di
    = ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
          ( ?? @ $i
          @ ^ [Y2: $i] : ( Y0 @ Y2 @ Y1 ) ) ) ),
    inference(cnf_transformation,[status(thm)],[f37]) ).

thf(f37,plain,
    ( mexists_di
    = ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
          ( ?? @ $i
          @ ^ [Y2: $i] : ( Y0 @ Y2 @ Y1 ) ) ) ),
    inference(fool_elimination,[status(thm)],[f36]) ).

thf(f36,plain,
    ( ( ^ [X0: $i > mworld > $o,X1: mworld] :
        ? [X2: $i] : ( X0 @ X2 @ X1 ) )
    = mexists_di ),
    inference(rectify,[status(thm)],[f11]) ).

thf(f11,axiom,
    ( ( ^ [X1: $i > mworld > $o,X2: mworld] :
        ? [X5: $i] : ( X1 @ X5 @ X2 ) )
    = mexists_di ),
    file('/export/starexec/sandbox/tmp/tmp.xdLXuHNyym/DTF2THF_5915.p',mexists_di_def) ).

thf(f41,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[status(thm)],[f18]) ).

thf(f18,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[status(thm)],[f17]) ).

thf(f17,plain,
    ( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
         => ( X1 @ X2 ) ) )
    = mimplies ),
    inference(rectify,[status(thm)],[f5]) ).

thf(f5,axiom,
    ( ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
         => ( X3 @ X2 ) ) )
    = mimplies ),
    file('/export/starexec/sandbox/tmp/tmp.xdLXuHNyym/DTF2THF_5915.p',mimplies_def) ).

thf(f51,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
          & ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[status(thm)],[f35]) ).

thf(f35,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
          & ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[status(thm)],[f34]) ).

thf(f34,plain,
    ( mand
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
          & ( X0 @ X2 ) ) ) ),
    inference(rectify,[status(thm)],[f3]) ).

thf(f3,axiom,
    ( mand
    = ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
          ( ( X3 @ X2 )
          & ( X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.xdLXuHNyym/DTF2THF_5915.p',mand_def) ).

thf(f48,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(cnf_transformation,[status(thm)],[f21]) ).

thf(f21,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.xdLXuHNyym/DTF2THF_5915.p',mlocal_def) ).

thf(f49,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)],[f38]) ).

thf(f38,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)],[f23]) ).

thf(f23,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)],[f22]) ).

thf(f22,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)],[f13]) ).

thf(f13,negated_conjecture,
    ~ ( mlocal
      @ ( mand
        @ ( mimplies
          @ ( mexists_di
            @ ^ [X6: $i] :
                ( mexists_di
                @ ^ [X4: $i] :
                    ( mexists_di
                    @ ^ [X2: $i] :
                        ( mexists_di
                        @ ^ [X5: $i] : ( mand @ ( hollywood @ X6 ) @ ( mand @ ( city @ X6 ) @ ( mand @ ( event @ X4 ) @ ( mand @ ( street @ X2 ) @ ( mand @ ( way @ X2 ) @ ( mand @ ( lonely @ X2 ) @ ( mand @ ( chevy @ X5 ) @ ( mand @ ( car @ X5 ) @ ( mand @ ( white @ X5 ) @ ( mand @ ( dirty @ X5 ) @ ( mand @ ( old @ X5 ) @ ( mand @ ( barrel @ X4 @ X5 ) @ ( mand @ ( down @ X4 @ X2 ) @ ( in @ X4 @ X6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( 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)],[f12]) ).

thf(f12,conjecture,
    ( mlocal
    @ ( mand
      @ ( mimplies
        @ ( mexists_di
          @ ^ [X6: $i] :
              ( mexists_di
              @ ^ [X4: $i] :
                  ( mexists_di
                  @ ^ [X2: $i] :
                      ( mexists_di
                      @ ^ [X5: $i] : ( mand @ ( hollywood @ X6 ) @ ( mand @ ( city @ X6 ) @ ( mand @ ( event @ X4 ) @ ( mand @ ( street @ X2 ) @ ( mand @ ( way @ X2 ) @ ( mand @ ( lonely @ X2 ) @ ( mand @ ( chevy @ X5 ) @ ( mand @ ( car @ X5 ) @ ( mand @ ( white @ X5 ) @ ( mand @ ( dirty @ X5 ) @ ( mand @ ( old @ X5 ) @ ( mand @ ( barrel @ X4 @ X5 ) @ ( mand @ ( down @ X4 @ X2 ) @ ( in @ X4 @ X6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ ( 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.xdLXuHNyym/DTF2THF_5915.p',co1) ).

thf(f1319,plain,
    ( spl1_57
    | spl1_51 ),
    inference(avatar_split_clause,[status(thm)],[f81,f1182,f1280]) ).

thf(f81,plain,
    ( ( $true
      = ( city @ sK2 @ mactual ) )
    | ( $true
      = ( hollywood @ sK3 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f78]) ).

thf(f78,plain,
    ( ( $true
      = ( hollywood @ sK3 @ mactual ) )
    | ( ( ( city @ sK2 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK9 @ mactual )
        & ( car @ sK9 @ mactual )
        & ( white @ sK9 @ mactual )
        & ( dirty @ sK9 @ mactual )
        & ( old @ sK9 @ mactual )
        & ( barrel @ sK4 @ sK9 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f77]) ).

thf(f1318,plain,
    ( spl1_57
    | spl1_50 ),
    inference(avatar_split_clause,[status(thm)],[f83,f1169,f1280]) ).

thf(f83,plain,
    ( ( $true
      = ( hollywood @ sK3 @ mactual ) )
    | ( ( event @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f80]) ).

thf(f80,plain,
    ( ( ( ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK9 @ mactual )
        & ( car @ sK9 @ mactual )
        & ( white @ sK9 @ mactual )
        & ( dirty @ sK9 @ mactual )
        & ( old @ sK9 @ mactual )
        & ( barrel @ sK4 @ sK9 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( $true
      = ( hollywood @ sK3 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f78]) ).

thf(f1317,plain,
    ( spl1_57
    | spl1_49 ),
    inference(avatar_split_clause,[status(thm)],[f85,f1156,f1280]) ).

thf(f85,plain,
    ( ( ( street @ sK5 @ mactual )
      = $true )
    | ( $true
      = ( hollywood @ sK3 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f82]) ).

thf(f82,plain,
    ( ( $true
      = ( hollywood @ sK3 @ mactual ) )
    | ( ( ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK9 @ mactual )
        & ( car @ sK9 @ mactual )
        & ( white @ sK9 @ mactual )
        & ( dirty @ sK9 @ mactual )
        & ( old @ sK9 @ mactual )
        & ( barrel @ sK4 @ sK9 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f80]) ).

thf(f1316,plain,
    ( spl1_48
    | spl1_57 ),
    inference(avatar_split_clause,[status(thm)],[f87,f1280,f1143]) ).

thf(f87,plain,
    ( ( $true
      = ( hollywood @ sK3 @ mactual ) )
    | ( $true
      = ( way @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f84]) ).

thf(f84,plain,
    ( ( $true
      = ( hollywood @ sK3 @ mactual ) )
    | ( ( ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK9 @ mactual )
        & ( car @ sK9 @ mactual )
        & ( white @ sK9 @ mactual )
        & ( dirty @ sK9 @ mactual )
        & ( old @ sK9 @ mactual )
        & ( barrel @ sK4 @ sK9 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f82]) ).

thf(f1315,plain,
    ( spl1_57
    | spl1_47 ),
    inference(avatar_split_clause,[status(thm)],[f89,f1130,f1280]) ).

thf(f89,plain,
    ( ( ( lonely @ sK5 @ mactual )
      = $true )
    | ( $true
      = ( hollywood @ sK3 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f86]) ).

thf(f86,plain,
    ( ( ( ( lonely @ sK5 @ mactual )
        & ( chevy @ sK9 @ mactual )
        & ( car @ sK9 @ mactual )
        & ( white @ sK9 @ mactual )
        & ( dirty @ sK9 @ mactual )
        & ( old @ sK9 @ mactual )
        & ( barrel @ sK4 @ sK9 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( $true
      = ( hollywood @ sK3 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f84]) ).

thf(f1314,plain,
    ( spl1_63
    | spl1_57 ),
    inference(avatar_split_clause,[status(thm)],[f91,f1280,f1311]) ).

thf(f91,plain,
    ( ( $true
      = ( hollywood @ sK3 @ mactual ) )
    | ( ( chevy @ sK9 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f88]) ).

thf(f88,plain,
    ( ( $true
      = ( hollywood @ sK3 @ mactual ) )
    | ( ( ( chevy @ sK9 @ mactual )
        & ( car @ sK9 @ mactual )
        & ( white @ sK9 @ mactual )
        & ( dirty @ sK9 @ mactual )
        & ( old @ sK9 @ mactual )
        & ( barrel @ sK4 @ sK9 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f86]) ).

thf(f1309,plain,
    ( spl1_57
    | spl1_62 ),
    inference(avatar_split_clause,[status(thm)],[f93,f1306,f1280]) ).

thf(f93,plain,
    ( ( $true
      = ( car @ sK9 @ mactual ) )
    | ( $true
      = ( hollywood @ sK3 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f90]) ).

thf(f90,plain,
    ( ( ( ( car @ sK9 @ mactual )
        & ( white @ sK9 @ mactual )
        & ( dirty @ sK9 @ mactual )
        & ( old @ sK9 @ mactual )
        & ( barrel @ sK4 @ sK9 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( $true
      = ( hollywood @ sK3 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f88]) ).

thf(f1304,plain,
    ( spl1_57
    | spl1_61 ),
    inference(avatar_split_clause,[status(thm)],[f95,f1301,f1280]) ).

thf(f95,plain,
    ( ( ( white @ sK9 @ mactual )
      = $true )
    | ( $true
      = ( hollywood @ sK3 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f92]) ).

thf(f92,plain,
    ( ( $true
      = ( hollywood @ sK3 @ mactual ) )
    | ( $true
      = ( ( white @ sK9 @ mactual )
        & ( dirty @ sK9 @ mactual )
        & ( old @ sK9 @ mactual )
        & ( barrel @ sK4 @ sK9 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f90]) ).

thf(f1299,plain,
    ( spl1_60
    | spl1_57 ),
    inference(avatar_split_clause,[status(thm)],[f97,f1280,f1296]) ).

thf(f97,plain,
    ( ( $true
      = ( hollywood @ sK3 @ mactual ) )
    | ( $true
      = ( dirty @ sK9 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f94]) ).

thf(f94,plain,
    ( ( $true
      = ( hollywood @ sK3 @ mactual ) )
    | ( ( ( dirty @ sK9 @ mactual )
        & ( old @ sK9 @ mactual )
        & ( barrel @ sK4 @ sK9 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f92]) ).

thf(f1294,plain,
    ( spl1_57
    | spl1_59 ),
    inference(avatar_split_clause,[status(thm)],[f99,f1291,f1280]) ).

thf(f99,plain,
    ( ( $true
      = ( hollywood @ sK3 @ mactual ) )
    | ( $true
      = ( old @ sK9 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f96]) ).

thf(f96,plain,
    ( ( ( ( old @ sK9 @ mactual )
        & ( barrel @ sK4 @ sK9 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( $true
      = ( hollywood @ sK3 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f94]) ).

thf(f1289,plain,
    ( spl1_58
    | spl1_57 ),
    inference(avatar_split_clause,[status(thm)],[f101,f1280,f1286]) ).

thf(f101,plain,
    ( ( $true
      = ( hollywood @ sK3 @ mactual ) )
    | ( $true
      = ( barrel @ sK4 @ sK9 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f98]) ).

thf(f98,plain,
    ( ( ( ( barrel @ sK4 @ sK9 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( $true
      = ( hollywood @ sK3 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f96]) ).

thf(f1284,plain,
    ( spl1_57
    | spl1_32 ),
    inference(avatar_split_clause,[status(thm)],[f103,f999,f1280]) ).

thf(f103,plain,
    ( ( $true
      = ( down @ sK4 @ sK5 @ mactual ) )
    | ( $true
      = ( hollywood @ sK3 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f100]) ).

thf(f100,plain,
    ( ( $true
      = ( hollywood @ sK3 @ mactual ) )
    | ( ( ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f98]) ).

thf(f1283,plain,
    ( spl1_30
    | spl1_57 ),
    inference(avatar_split_clause,[status(thm)],[f102,f1280,f990]) ).

thf(f102,plain,
    ( ( ( in @ sK4 @ sK2 @ mactual )
      = $true )
    | ( $true
      = ( hollywood @ sK3 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f100]) ).

thf(f1278,plain,
    ( spl1_56
    | spl1_53 ),
    inference(avatar_split_clause,[status(thm)],[f109,f1212,f1262]) ).

thf(f109,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( ( city @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f107]) ).

thf(f107,plain,
    ( ( ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( city @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f105]) ).

thf(f105,plain,
    ( ( ( ( city @ sK3 @ mactual )
        & ( event @ sK6 @ mactual )
        & ( chevy @ sK7 @ mactual )
        & ( car @ sK7 @ mactual )
        & ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f104]) ).

thf(f104,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( hollywood @ sK2 @ mactual )
            & ( city @ sK2 @ mactual )
            & ( event @ sK4 @ mactual )
            & ( street @ sK5 @ mactual )
            & ( way @ sK5 @ mactual )
            & ( lonely @ sK5 @ mactual )
            & ( chevy @ Y0 @ mactual )
            & ( car @ Y0 @ mactual )
            & ( white @ Y0 @ mactual )
            & ( dirty @ Y0 @ mactual )
            & ( old @ Y0 @ mactual )
            & ( barrel @ sK4 @ Y0 @ mactual )
            & ( down @ sK4 @ sK5 @ mactual )
            & ( in @ sK4 @ sK2 @ mactual ) )
        @ sK10 )
      = $true )
    | ( ( ( city @ sK3 @ mactual )
        & ( event @ sK6 @ mactual )
        & ( chevy @ sK7 @ mactual )
        & ( car @ sK7 @ mactual )
        & ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(sigma_clausification,[status(thm)],[f74]) ).

thf(f74,plain,
    ( ( $true
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( hollywood @ sK2 @ mactual )
            & ( city @ sK2 @ mactual )
            & ( event @ sK4 @ mactual )
            & ( street @ sK5 @ mactual )
            & ( way @ sK5 @ mactual )
            & ( lonely @ sK5 @ mactual )
            & ( chevy @ Y0 @ mactual )
            & ( car @ Y0 @ mactual )
            & ( white @ Y0 @ mactual )
            & ( dirty @ Y0 @ mactual )
            & ( old @ Y0 @ mactual )
            & ( barrel @ sK4 @ Y0 @ mactual )
            & ( down @ sK4 @ sK5 @ mactual )
            & ( in @ sK4 @ sK2 @ mactual ) ) ) )
    | ( ( ( city @ sK3 @ mactual )
        & ( event @ sK6 @ mactual )
        & ( chevy @ sK7 @ mactual )
        & ( car @ sK7 @ mactual )
        & ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f73]) ).

thf(f1277,plain,
    ( spl1_56
    | spl1_51 ),
    inference(avatar_split_clause,[status(thm)],[f111,f1182,f1262]) ).

thf(f111,plain,
    ( ( ( city @ sK3 @ mactual )
      = $true )
    | ( $true
      = ( city @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f108]) ).

thf(f108,plain,
    ( ( ( city @ sK3 @ mactual )
      = $true )
    | ( ( ( city @ sK2 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f107]) ).

thf(f1276,plain,
    ( spl1_50
    | spl1_56 ),
    inference(avatar_split_clause,[status(thm)],[f113,f1262,f1169]) ).

thf(f113,plain,
    ( ( ( city @ sK3 @ mactual )
      = $true )
    | ( ( event @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f110]) ).

thf(f110,plain,
    ( ( ( city @ sK3 @ mactual )
      = $true )
    | ( ( ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f108]) ).

thf(f1275,plain,
    ( spl1_49
    | spl1_56 ),
    inference(avatar_split_clause,[status(thm)],[f115,f1262,f1156]) ).

thf(f115,plain,
    ( ( ( city @ sK3 @ mactual )
      = $true )
    | ( ( street @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f112]) ).

thf(f112,plain,
    ( ( $true
      = ( ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) )
    | ( ( city @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f110]) ).

thf(f1274,plain,
    ( spl1_56
    | spl1_48 ),
    inference(avatar_split_clause,[status(thm)],[f117,f1143,f1262]) ).

thf(f117,plain,
    ( ( $true
      = ( way @ sK5 @ mactual ) )
    | ( ( city @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f114]) ).

thf(f114,plain,
    ( ( ( ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( city @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f112]) ).

thf(f1273,plain,
    ( spl1_56
    | spl1_47 ),
    inference(avatar_split_clause,[status(thm)],[f119,f1130,f1262]) ).

thf(f119,plain,
    ( ( ( lonely @ sK5 @ mactual )
      = $true )
    | ( ( city @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f116]) ).

thf(f116,plain,
    ( ( ( city @ sK3 @ mactual )
      = $true )
    | ( $true
      = ( ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f114]) ).

thf(f1272,plain,
    ( spl1_56
    | spl1_46 ),
    inference(avatar_split_clause,[status(thm)],[f121,f1117,f1262]) ).

thf(f121,plain,
    ( ( ( city @ sK3 @ mactual )
      = $true )
    | ( ( chevy @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f118]) ).

thf(f118,plain,
    ( ( ( city @ sK3 @ mactual )
      = $true )
    | ( ( ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f116]) ).

thf(f1271,plain,
    ( spl1_56
    | spl1_45 ),
    inference(avatar_split_clause,[status(thm)],[f123,f1104,f1262]) ).

thf(f123,plain,
    ( ( $true
      = ( car @ sK10 @ mactual ) )
    | ( ( city @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f120]) ).

thf(f120,plain,
    ( ( ( city @ sK3 @ mactual )
      = $true )
    | ( ( ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f118]) ).

thf(f1270,plain,
    ( spl1_43
    | spl1_56 ),
    inference(avatar_split_clause,[status(thm)],[f125,f1262,f1082]) ).

thf(f125,plain,
    ( ( ( white @ sK10 @ mactual )
      = $true )
    | ( ( city @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f122]) ).

thf(f122,plain,
    ( ( ( ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( city @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f120]) ).

thf(f1269,plain,
    ( spl1_56
    | spl1_41 ),
    inference(avatar_split_clause,[status(thm)],[f127,f1062,f1262]) ).

thf(f127,plain,
    ( ( ( city @ sK3 @ mactual )
      = $true )
    | ( ( dirty @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f124]) ).

thf(f124,plain,
    ( ( ( city @ sK3 @ mactual )
      = $true )
    | ( ( ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f122]) ).

thf(f1268,plain,
    ( spl1_38
    | spl1_56 ),
    inference(avatar_split_clause,[status(thm)],[f129,f1262,f1037]) ).

thf(f129,plain,
    ( ( ( old @ sK10 @ mactual )
      = $true )
    | ( ( city @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f126]) ).

thf(f126,plain,
    ( ( ( ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( city @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f124]) ).

thf(f1267,plain,
    ( spl1_36
    | spl1_56 ),
    inference(avatar_split_clause,[status(thm)],[f131,f1262,f1022]) ).

thf(f131,plain,
    ( ( ( city @ sK3 @ mactual )
      = $true )
    | ( ( barrel @ sK4 @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f128]) ).

thf(f128,plain,
    ( ( $true
      = ( ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) )
    | ( ( city @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f126]) ).

thf(f1266,plain,
    ( spl1_32
    | spl1_56 ),
    inference(avatar_split_clause,[status(thm)],[f133,f1262,f999]) ).

thf(f133,plain,
    ( ( ( city @ sK3 @ mactual )
      = $true )
    | ( $true
      = ( down @ sK4 @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f130]) ).

thf(f130,plain,
    ( ( ( ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( city @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f128]) ).

thf(f1265,plain,
    ( spl1_30
    | spl1_56 ),
    inference(avatar_split_clause,[status(thm)],[f132,f1262,f990]) ).

thf(f132,plain,
    ( ( ( in @ sK4 @ sK2 @ mactual )
      = $true )
    | ( ( city @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f130]) ).

thf(f1260,plain,
    ( spl1_55
    | spl1_53 ),
    inference(avatar_split_clause,[status(thm)],[f137,f1212,f1244]) ).

thf(f137,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( ( event @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f135]) ).

thf(f135,plain,
    ( ( ( event @ sK6 @ mactual )
      = $true )
    | ( ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f106]) ).

thf(f106,plain,
    ( ( ( ( event @ sK6 @ mactual )
        & ( chevy @ sK7 @ mactual )
        & ( car @ sK7 @ mactual )
        & ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f105]) ).

thf(f1259,plain,
    ( spl1_51
    | spl1_55 ),
    inference(avatar_split_clause,[status(thm)],[f139,f1244,f1182]) ).

thf(f139,plain,
    ( ( ( event @ sK6 @ mactual )
      = $true )
    | ( $true
      = ( city @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f136]) ).

thf(f136,plain,
    ( ( ( ( city @ sK2 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( event @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f135]) ).

thf(f1258,plain,
    ( spl1_50
    | spl1_55 ),
    inference(avatar_split_clause,[status(thm)],[f141,f1244,f1169]) ).

thf(f141,plain,
    ( ( ( event @ sK4 @ mactual )
      = $true )
    | ( ( event @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f138]) ).

thf(f138,plain,
    ( ( ( event @ sK6 @ mactual )
      = $true )
    | ( ( ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f136]) ).

thf(f1257,plain,
    ( spl1_55
    | spl1_49 ),
    inference(avatar_split_clause,[status(thm)],[f143,f1156,f1244]) ).

thf(f143,plain,
    ( ( ( street @ sK5 @ mactual )
      = $true )
    | ( ( event @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f140]) ).

thf(f140,plain,
    ( ( ( event @ sK6 @ mactual )
      = $true )
    | ( $true
      = ( ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f138]) ).

thf(f1256,plain,
    ( spl1_48
    | spl1_55 ),
    inference(avatar_split_clause,[status(thm)],[f145,f1244,f1143]) ).

thf(f145,plain,
    ( ( $true
      = ( way @ sK5 @ mactual ) )
    | ( ( event @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f142]) ).

thf(f142,plain,
    ( ( ( event @ sK6 @ mactual )
      = $true )
    | ( ( ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f140]) ).

thf(f1255,plain,
    ( spl1_47
    | spl1_55 ),
    inference(avatar_split_clause,[status(thm)],[f147,f1244,f1130]) ).

thf(f147,plain,
    ( ( ( lonely @ sK5 @ mactual )
      = $true )
    | ( ( event @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f144]) ).

thf(f144,plain,
    ( ( ( event @ sK6 @ mactual )
      = $true )
    | ( $true
      = ( ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f142]) ).

thf(f1254,plain,
    ( spl1_55
    | spl1_46 ),
    inference(avatar_split_clause,[status(thm)],[f149,f1117,f1244]) ).

thf(f149,plain,
    ( ( ( chevy @ sK10 @ mactual )
      = $true )
    | ( ( event @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f146]) ).

thf(f146,plain,
    ( ( ( ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( event @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f144]) ).

thf(f1253,plain,
    ( spl1_45
    | spl1_55 ),
    inference(avatar_split_clause,[status(thm)],[f151,f1244,f1104]) ).

thf(f151,plain,
    ( ( $true
      = ( car @ sK10 @ mactual ) )
    | ( ( event @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f148]) ).

thf(f148,plain,
    ( ( ( event @ sK6 @ mactual )
      = $true )
    | ( ( ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f146]) ).

thf(f1252,plain,
    ( spl1_55
    | spl1_43 ),
    inference(avatar_split_clause,[status(thm)],[f153,f1082,f1244]) ).

thf(f153,plain,
    ( ( ( white @ sK10 @ mactual )
      = $true )
    | ( ( event @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f150]) ).

thf(f150,plain,
    ( ( ( ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( event @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f148]) ).

thf(f1251,plain,
    ( spl1_55
    | spl1_41 ),
    inference(avatar_split_clause,[status(thm)],[f155,f1062,f1244]) ).

thf(f155,plain,
    ( ( ( dirty @ sK10 @ mactual )
      = $true )
    | ( ( event @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f152]) ).

thf(f152,plain,
    ( ( ( ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( event @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f150]) ).

thf(f1250,plain,
    ( spl1_38
    | spl1_55 ),
    inference(avatar_split_clause,[status(thm)],[f157,f1244,f1037]) ).

thf(f157,plain,
    ( ( ( old @ sK10 @ mactual )
      = $true )
    | ( ( event @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f154]) ).

thf(f154,plain,
    ( ( ( event @ sK6 @ mactual )
      = $true )
    | ( ( ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f152]) ).

thf(f1249,plain,
    ( spl1_36
    | spl1_55 ),
    inference(avatar_split_clause,[status(thm)],[f159,f1244,f1022]) ).

thf(f159,plain,
    ( ( ( event @ sK6 @ mactual )
      = $true )
    | ( ( barrel @ sK4 @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f156]) ).

thf(f156,plain,
    ( ( $true
      = ( ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) )
    | ( ( event @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f154]) ).

thf(f1248,plain,
    ( spl1_32
    | spl1_55 ),
    inference(avatar_split_clause,[status(thm)],[f161,f1244,f999]) ).

thf(f161,plain,
    ( ( $true
      = ( down @ sK4 @ sK5 @ mactual ) )
    | ( ( event @ sK6 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f158]) ).

thf(f158,plain,
    ( ( ( event @ sK6 @ mactual )
      = $true )
    | ( ( ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f156]) ).

thf(f1247,plain,
    ( spl1_30
    | spl1_55 ),
    inference(avatar_split_clause,[status(thm)],[f160,f1244,f990]) ).

thf(f160,plain,
    ( ( ( event @ sK6 @ mactual )
      = $true )
    | ( ( in @ sK4 @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f158]) ).

thf(f1242,plain,
    ( spl1_54
    | spl1_53 ),
    inference(avatar_split_clause,[status(thm)],[f165,f1212,f1226]) ).

thf(f165,plain,
    ( ( ( chevy @ sK7 @ mactual )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f163]) ).

thf(f163,plain,
    ( ( ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( chevy @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f134]) ).

thf(f134,plain,
    ( ( ( ( chevy @ sK7 @ mactual )
        & ( car @ sK7 @ mactual )
        & ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f106]) ).

thf(f1241,plain,
    ( spl1_51
    | spl1_54 ),
    inference(avatar_split_clause,[status(thm)],[f167,f1226,f1182]) ).

thf(f167,plain,
    ( ( $true
      = ( city @ sK2 @ mactual ) )
    | ( ( chevy @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f164]) ).

thf(f164,plain,
    ( ( ( chevy @ sK7 @ mactual )
      = $true )
    | ( ( ( city @ sK2 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f163]) ).

thf(f1240,plain,
    ( spl1_50
    | spl1_54 ),
    inference(avatar_split_clause,[status(thm)],[f169,f1226,f1169]) ).

thf(f169,plain,
    ( ( ( event @ sK4 @ mactual )
      = $true )
    | ( ( chevy @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f166]) ).

thf(f166,plain,
    ( ( ( ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( chevy @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f164]) ).

thf(f1239,plain,
    ( spl1_54
    | spl1_49 ),
    inference(avatar_split_clause,[status(thm)],[f171,f1156,f1226]) ).

thf(f171,plain,
    ( ( ( chevy @ sK7 @ mactual )
      = $true )
    | ( ( street @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f168]) ).

thf(f168,plain,
    ( ( $true
      = ( ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) )
    | ( ( chevy @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f166]) ).

thf(f1238,plain,
    ( spl1_48
    | spl1_54 ),
    inference(avatar_split_clause,[status(thm)],[f173,f1226,f1143]) ).

thf(f173,plain,
    ( ( $true
      = ( way @ sK5 @ mactual ) )
    | ( ( chevy @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f170]) ).

thf(f170,plain,
    ( ( ( ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( chevy @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f168]) ).

thf(f1237,plain,
    ( spl1_54
    | spl1_47 ),
    inference(avatar_split_clause,[status(thm)],[f175,f1130,f1226]) ).

thf(f175,plain,
    ( ( ( chevy @ sK7 @ mactual )
      = $true )
    | ( ( lonely @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f172]) ).

thf(f172,plain,
    ( ( $true
      = ( ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) )
    | ( ( chevy @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f170]) ).

thf(f1236,plain,
    ( spl1_54
    | spl1_46 ),
    inference(avatar_split_clause,[status(thm)],[f177,f1117,f1226]) ).

thf(f177,plain,
    ( ( ( chevy @ sK10 @ mactual )
      = $true )
    | ( ( chevy @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f174]) ).

thf(f174,plain,
    ( ( ( chevy @ sK7 @ mactual )
      = $true )
    | ( ( ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f172]) ).

thf(f1235,plain,
    ( spl1_45
    | spl1_54 ),
    inference(avatar_split_clause,[status(thm)],[f179,f1226,f1104]) ).

thf(f179,plain,
    ( ( $true
      = ( car @ sK10 @ mactual ) )
    | ( ( chevy @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f176]) ).

thf(f176,plain,
    ( ( ( ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( chevy @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f174]) ).

thf(f1234,plain,
    ( spl1_43
    | spl1_54 ),
    inference(avatar_split_clause,[status(thm)],[f181,f1226,f1082]) ).

thf(f181,plain,
    ( ( ( chevy @ sK7 @ mactual )
      = $true )
    | ( ( white @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f178]) ).

thf(f178,plain,
    ( ( ( ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( chevy @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f176]) ).

thf(f1233,plain,
    ( spl1_41
    | spl1_54 ),
    inference(avatar_split_clause,[status(thm)],[f183,f1226,f1062]) ).

thf(f183,plain,
    ( ( ( chevy @ sK7 @ mactual )
      = $true )
    | ( ( dirty @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f180]) ).

thf(f180,plain,
    ( ( ( chevy @ sK7 @ mactual )
      = $true )
    | ( ( ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f178]) ).

thf(f1232,plain,
    ( spl1_38
    | spl1_54 ),
    inference(avatar_split_clause,[status(thm)],[f185,f1226,f1037]) ).

thf(f185,plain,
    ( ( ( old @ sK10 @ mactual )
      = $true )
    | ( ( chevy @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f182]) ).

thf(f182,plain,
    ( ( ( ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( chevy @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f180]) ).

thf(f1231,plain,
    ( spl1_54
    | spl1_36 ),
    inference(avatar_split_clause,[status(thm)],[f187,f1022,f1226]) ).

thf(f187,plain,
    ( ( ( barrel @ sK4 @ sK10 @ mactual )
      = $true )
    | ( ( chevy @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f184]) ).

thf(f184,plain,
    ( ( ( chevy @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f182]) ).

thf(f1230,plain,
    ( spl1_32
    | spl1_54 ),
    inference(avatar_split_clause,[status(thm)],[f189,f1226,f999]) ).

thf(f189,plain,
    ( ( $true
      = ( down @ sK4 @ sK5 @ mactual ) )
    | ( ( chevy @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f186]) ).

thf(f186,plain,
    ( ( ( ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( chevy @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f184]) ).

thf(f1229,plain,
    ( spl1_54
    | spl1_30 ),
    inference(avatar_split_clause,[status(thm)],[f188,f990,f1226]) ).

thf(f188,plain,
    ( ( ( in @ sK4 @ sK2 @ mactual )
      = $true )
    | ( ( chevy @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f186]) ).

thf(f1224,plain,
    ( spl1_52
    | spl1_53 ),
    inference(avatar_split_clause,[status(thm)],[f193,f1212,f1195]) ).

thf(f193,plain,
    ( ( ( car @ sK7 @ mactual )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f191]) ).

thf(f191,plain,
    ( ( ( ( car @ sK7 @ mactual )
        & ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f162]) ).

thf(f162,plain,
    ( ( ( ( hollywood @ sK2 @ mactual )
        & ( city @ sK2 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( ( car @ sK7 @ mactual )
        & ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f134]) ).

thf(f1223,plain,
    ( spl1_44
    | spl1_53 ),
    inference(avatar_split_clause,[status(thm)],[f195,f1212,f1094]) ).

thf(f195,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( ( white @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f192]) ).

thf(f192,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( ( ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f191]) ).

thf(f1222,plain,
    ( spl1_42
    | spl1_53 ),
    inference(avatar_split_clause,[status(thm)],[f197,f1212,f1073]) ).

thf(f197,plain,
    ( ( ( dirty @ sK7 @ mactual )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f194]) ).

thf(f194,plain,
    ( ( ( ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f192]) ).

thf(f1221,plain,
    ( spl1_53
    | spl1_40 ),
    inference(avatar_split_clause,[status(thm)],[f199,f1054,f1212]) ).

thf(f199,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( ( old @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f196]) ).

thf(f196,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( ( ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f194]) ).

thf(f1220,plain,
    ( spl1_39
    | spl1_53 ),
    inference(avatar_split_clause,[status(thm)],[f201,f1212,f1046]) ).

thf(f201,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( $true
      = ( street @ sK8 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f198]) ).

thf(f198,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( ( ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f196]) ).

thf(f1219,plain,
    ( spl1_53
    | spl1_37 ),
    inference(avatar_split_clause,[status(thm)],[f203,f1030,f1212]) ).

thf(f203,plain,
    ( ( ( way @ sK8 @ mactual )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f200]) ).

thf(f200,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( ( ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f198]) ).

thf(f1218,plain,
    ( spl1_53
    | spl1_35 ),
    inference(avatar_split_clause,[status(thm)],[f205,f1016,f1212]) ).

thf(f205,plain,
    ( ( ( lonely @ sK8 @ mactual )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f202]) ).

thf(f202,plain,
    ( ( ( ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f200]) ).

thf(f1217,plain,
    ( spl1_53
    | spl1_34 ),
    inference(avatar_split_clause,[status(thm)],[f207,f1010,f1212]) ).

thf(f207,plain,
    ( ( ( barrel @ sK6 @ sK7 @ mactual )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f204]) ).

thf(f204,plain,
    ( ( ( ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f202]) ).

thf(f1216,plain,
    ( spl1_33
    | spl1_53 ),
    inference(avatar_split_clause,[status(thm)],[f209,f1212,f1004]) ).

thf(f209,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( ( down @ sK6 @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f206]) ).

thf(f206,plain,
    ( ( ( ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( hollywood @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f204]) ).

thf(f1215,plain,
    ( spl1_31
    | spl1_53 ),
    inference(avatar_split_clause,[status(thm)],[f208,f1212,f994]) ).

thf(f208,plain,
    ( ( ( hollywood @ sK2 @ mactual )
      = $true )
    | ( ( in @ sK6 @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f206]) ).

thf(f1210,plain,
    ( spl1_51
    | spl1_52 ),
    inference(avatar_split_clause,[status(thm)],[f213,f1195,f1182]) ).

thf(f213,plain,
    ( ( ( car @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( city @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f211]) ).

thf(f211,plain,
    ( ( ( car @ sK7 @ mactual )
      = $true )
    | ( ( ( city @ sK2 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f190]) ).

thf(f190,plain,
    ( ( ( ( car @ sK7 @ mactual )
        & ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( ( city @ sK2 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f162]) ).

thf(f1209,plain,
    ( spl1_52
    | spl1_50 ),
    inference(avatar_split_clause,[status(thm)],[f215,f1169,f1195]) ).

thf(f215,plain,
    ( ( ( event @ sK4 @ mactual )
      = $true )
    | ( ( car @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f212]) ).

thf(f212,plain,
    ( ( ( car @ sK7 @ mactual )
      = $true )
    | ( ( ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f211]) ).

thf(f1208,plain,
    ( spl1_49
    | spl1_52 ),
    inference(avatar_split_clause,[status(thm)],[f217,f1195,f1156]) ).

thf(f217,plain,
    ( ( ( car @ sK7 @ mactual )
      = $true )
    | ( ( street @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f214]) ).

thf(f214,plain,
    ( ( $true
      = ( ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) )
    | ( ( car @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f212]) ).

thf(f1207,plain,
    ( spl1_52
    | spl1_48 ),
    inference(avatar_split_clause,[status(thm)],[f219,f1143,f1195]) ).

thf(f219,plain,
    ( ( $true
      = ( way @ sK5 @ mactual ) )
    | ( ( car @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f216]) ).

thf(f216,plain,
    ( ( ( ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( car @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f214]) ).

thf(f1206,plain,
    ( spl1_47
    | spl1_52 ),
    inference(avatar_split_clause,[status(thm)],[f221,f1195,f1130]) ).

thf(f221,plain,
    ( ( ( lonely @ sK5 @ mactual )
      = $true )
    | ( ( car @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f218]) ).

thf(f218,plain,
    ( ( ( car @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f216]) ).

thf(f1205,plain,
    ( spl1_52
    | spl1_46 ),
    inference(avatar_split_clause,[status(thm)],[f223,f1117,f1195]) ).

thf(f223,plain,
    ( ( ( car @ sK7 @ mactual )
      = $true )
    | ( ( chevy @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f220]) ).

thf(f220,plain,
    ( ( ( car @ sK7 @ mactual )
      = $true )
    | ( ( ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f218]) ).

thf(f1204,plain,
    ( spl1_45
    | spl1_52 ),
    inference(avatar_split_clause,[status(thm)],[f225,f1195,f1104]) ).

thf(f225,plain,
    ( ( ( car @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( car @ sK10 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f222]) ).

thf(f222,plain,
    ( ( ( ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( car @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f220]) ).

thf(f1203,plain,
    ( spl1_43
    | spl1_52 ),
    inference(avatar_split_clause,[status(thm)],[f227,f1195,f1082]) ).

thf(f227,plain,
    ( ( ( white @ sK10 @ mactual )
      = $true )
    | ( ( car @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f224]) ).

thf(f224,plain,
    ( ( ( car @ sK7 @ mactual )
      = $true )
    | ( ( ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f222]) ).

thf(f1202,plain,
    ( spl1_41
    | spl1_52 ),
    inference(avatar_split_clause,[status(thm)],[f229,f1195,f1062]) ).

thf(f229,plain,
    ( ( ( dirty @ sK10 @ mactual )
      = $true )
    | ( ( car @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f226]) ).

thf(f226,plain,
    ( ( ( ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( car @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f224]) ).

thf(f1201,plain,
    ( spl1_38
    | spl1_52 ),
    inference(avatar_split_clause,[status(thm)],[f231,f1195,f1037]) ).

thf(f231,plain,
    ( ( ( old @ sK10 @ mactual )
      = $true )
    | ( ( car @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f228]) ).

thf(f228,plain,
    ( ( ( car @ sK7 @ mactual )
      = $true )
    | ( ( ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f226]) ).

thf(f1200,plain,
    ( spl1_52
    | spl1_36 ),
    inference(avatar_split_clause,[status(thm)],[f233,f1022,f1195]) ).

thf(f233,plain,
    ( ( ( car @ sK7 @ mactual )
      = $true )
    | ( ( barrel @ sK4 @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f230]) ).

thf(f230,plain,
    ( ( ( car @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f228]) ).

thf(f1199,plain,
    ( spl1_32
    | spl1_52 ),
    inference(avatar_split_clause,[status(thm)],[f235,f1195,f999]) ).

thf(f235,plain,
    ( ( ( car @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( down @ sK4 @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f232]) ).

thf(f232,plain,
    ( ( ( ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( car @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f230]) ).

thf(f1198,plain,
    ( spl1_52
    | spl1_30 ),
    inference(avatar_split_clause,[status(thm)],[f234,f990,f1195]) ).

thf(f234,plain,
    ( ( ( in @ sK4 @ sK2 @ mactual )
      = $true )
    | ( ( car @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f232]) ).

thf(f1193,plain,
    ( spl1_51
    | spl1_44 ),
    inference(avatar_split_clause,[status(thm)],[f239,f1094,f1182]) ).

thf(f239,plain,
    ( ( $true
      = ( city @ sK2 @ mactual ) )
    | ( ( white @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f237]) ).

thf(f237,plain,
    ( ( ( ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( $true
      = ( city @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f210]) ).

thf(f210,plain,
    ( ( ( ( city @ sK2 @ mactual )
        & ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f190]) ).

thf(f1192,plain,
    ( spl1_51
    | spl1_42 ),
    inference(avatar_split_clause,[status(thm)],[f241,f1073,f1182]) ).

thf(f241,plain,
    ( ( ( dirty @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( city @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f238]) ).

thf(f238,plain,
    ( ( $true
      = ( city @ sK2 @ mactual ) )
    | ( ( ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f237]) ).

thf(f1191,plain,
    ( spl1_40
    | spl1_51 ),
    inference(avatar_split_clause,[status(thm)],[f243,f1182,f1054]) ).

thf(f243,plain,
    ( ( ( old @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( city @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f240]) ).

thf(f240,plain,
    ( ( ( ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( $true
      = ( city @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f238]) ).

thf(f1190,plain,
    ( spl1_39
    | spl1_51 ),
    inference(avatar_split_clause,[status(thm)],[f245,f1182,f1046]) ).

thf(f245,plain,
    ( ( $true
      = ( street @ sK8 @ mactual ) )
    | ( $true
      = ( city @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f242]) ).

thf(f242,plain,
    ( ( ( ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( $true
      = ( city @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f240]) ).

thf(f1189,plain,
    ( spl1_51
    | spl1_37 ),
    inference(avatar_split_clause,[status(thm)],[f247,f1030,f1182]) ).

thf(f247,plain,
    ( ( ( way @ sK8 @ mactual )
      = $true )
    | ( $true
      = ( city @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f244]) ).

thf(f244,plain,
    ( ( $true
      = ( city @ sK2 @ mactual ) )
    | ( ( ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f242]) ).

thf(f1188,plain,
    ( spl1_51
    | spl1_35 ),
    inference(avatar_split_clause,[status(thm)],[f249,f1016,f1182]) ).

thf(f249,plain,
    ( ( $true
      = ( city @ sK2 @ mactual ) )
    | ( ( lonely @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f246]) ).

thf(f246,plain,
    ( ( ( ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( $true
      = ( city @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f244]) ).

thf(f1187,plain,
    ( spl1_51
    | spl1_34 ),
    inference(avatar_split_clause,[status(thm)],[f251,f1010,f1182]) ).

thf(f251,plain,
    ( ( ( barrel @ sK6 @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( city @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f248]) ).

thf(f248,plain,
    ( ( $true
      = ( city @ sK2 @ mactual ) )
    | ( ( ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f246]) ).

thf(f1186,plain,
    ( spl1_51
    | spl1_33 ),
    inference(avatar_split_clause,[status(thm)],[f253,f1004,f1182]) ).

thf(f253,plain,
    ( ( $true
      = ( city @ sK2 @ mactual ) )
    | ( ( down @ sK6 @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f250]) ).

thf(f250,plain,
    ( ( $true
      = ( city @ sK2 @ mactual ) )
    | ( ( ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f248]) ).

thf(f1185,plain,
    ( spl1_31
    | spl1_51 ),
    inference(avatar_split_clause,[status(thm)],[f252,f1182,f994]) ).

thf(f252,plain,
    ( ( ( in @ sK6 @ sK3 @ mactual )
      = $true )
    | ( $true
      = ( city @ sK2 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f250]) ).

thf(f1180,plain,
    ( spl1_44
    | spl1_50 ),
    inference(avatar_split_clause,[status(thm)],[f257,f1169,f1094]) ).

thf(f257,plain,
    ( ( ( white @ sK7 @ mactual )
      = $true )
    | ( ( event @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f255]) ).

thf(f255,plain,
    ( ( ( ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( event @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f236]) ).

thf(f236,plain,
    ( ( ( ( event @ sK4 @ mactual )
        & ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f210]) ).

thf(f1179,plain,
    ( spl1_42
    | spl1_50 ),
    inference(avatar_split_clause,[status(thm)],[f259,f1169,f1073]) ).

thf(f259,plain,
    ( ( ( event @ sK4 @ mactual )
      = $true )
    | ( ( dirty @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f256]) ).

thf(f256,plain,
    ( ( ( ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( event @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f255]) ).

thf(f1178,plain,
    ( spl1_40
    | spl1_50 ),
    inference(avatar_split_clause,[status(thm)],[f261,f1169,f1054]) ).

thf(f261,plain,
    ( ( ( old @ sK7 @ mactual )
      = $true )
    | ( ( event @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f258]) ).

thf(f258,plain,
    ( ( ( event @ sK4 @ mactual )
      = $true )
    | ( ( ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f256]) ).

thf(f1177,plain,
    ( spl1_39
    | spl1_50 ),
    inference(avatar_split_clause,[status(thm)],[f263,f1169,f1046]) ).

thf(f263,plain,
    ( ( ( event @ sK4 @ mactual )
      = $true )
    | ( $true
      = ( street @ sK8 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f260]) ).

thf(f260,plain,
    ( ( ( event @ sK4 @ mactual )
      = $true )
    | ( ( ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f258]) ).

thf(f1176,plain,
    ( spl1_37
    | spl1_50 ),
    inference(avatar_split_clause,[status(thm)],[f265,f1169,f1030]) ).

thf(f265,plain,
    ( ( ( way @ sK8 @ mactual )
      = $true )
    | ( ( event @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f262]) ).

thf(f262,plain,
    ( ( ( event @ sK4 @ mactual )
      = $true )
    | ( ( ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f260]) ).

thf(f1175,plain,
    ( spl1_35
    | spl1_50 ),
    inference(avatar_split_clause,[status(thm)],[f267,f1169,f1016]) ).

thf(f267,plain,
    ( ( ( event @ sK4 @ mactual )
      = $true )
    | ( ( lonely @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f264]) ).

thf(f264,plain,
    ( ( ( event @ sK4 @ mactual )
      = $true )
    | ( ( ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f262]) ).

thf(f1174,plain,
    ( spl1_34
    | spl1_50 ),
    inference(avatar_split_clause,[status(thm)],[f269,f1169,f1010]) ).

thf(f269,plain,
    ( ( ( event @ sK4 @ mactual )
      = $true )
    | ( ( barrel @ sK6 @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f266]) ).

thf(f266,plain,
    ( ( ( ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( event @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f264]) ).

thf(f1173,plain,
    ( spl1_33
    | spl1_50 ),
    inference(avatar_split_clause,[status(thm)],[f271,f1169,f1004]) ).

thf(f271,plain,
    ( ( ( event @ sK4 @ mactual )
      = $true )
    | ( ( down @ sK6 @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f268]) ).

thf(f268,plain,
    ( ( ( event @ sK4 @ mactual )
      = $true )
    | ( ( ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f266]) ).

thf(f1172,plain,
    ( spl1_50
    | spl1_31 ),
    inference(avatar_split_clause,[status(thm)],[f270,f994,f1169]) ).

thf(f270,plain,
    ( ( ( in @ sK6 @ sK3 @ mactual )
      = $true )
    | ( ( event @ sK4 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f268]) ).

thf(f1167,plain,
    ( spl1_44
    | spl1_49 ),
    inference(avatar_split_clause,[status(thm)],[f275,f1156,f1094]) ).

thf(f275,plain,
    ( ( ( street @ sK5 @ mactual )
      = $true )
    | ( ( white @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f273]) ).

thf(f273,plain,
    ( ( ( ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( street @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f254]) ).

thf(f254,plain,
    ( ( $true
      = ( ( street @ sK5 @ mactual )
        & ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) )
    | ( ( ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f236]) ).

thf(f1166,plain,
    ( spl1_42
    | spl1_49 ),
    inference(avatar_split_clause,[status(thm)],[f277,f1156,f1073]) ).

thf(f277,plain,
    ( ( ( street @ sK5 @ mactual )
      = $true )
    | ( ( dirty @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f274]) ).

thf(f274,plain,
    ( ( ( ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( street @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f273]) ).

thf(f1165,plain,
    ( spl1_49
    | spl1_40 ),
    inference(avatar_split_clause,[status(thm)],[f279,f1054,f1156]) ).

thf(f279,plain,
    ( ( ( old @ sK7 @ mactual )
      = $true )
    | ( ( street @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f276]) ).

thf(f276,plain,
    ( ( ( ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( street @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f274]) ).

thf(f1164,plain,
    ( spl1_49
    | spl1_39 ),
    inference(avatar_split_clause,[status(thm)],[f281,f1046,f1156]) ).

thf(f281,plain,
    ( ( ( street @ sK5 @ mactual )
      = $true )
    | ( $true
      = ( street @ sK8 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f278]) ).

thf(f278,plain,
    ( ( ( ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( street @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f276]) ).

thf(f1163,plain,
    ( spl1_49
    | spl1_37 ),
    inference(avatar_split_clause,[status(thm)],[f283,f1030,f1156]) ).

thf(f283,plain,
    ( ( ( way @ sK8 @ mactual )
      = $true )
    | ( ( street @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f280]) ).

thf(f280,plain,
    ( ( ( ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( street @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f278]) ).

thf(f1162,plain,
    ( spl1_35
    | spl1_49 ),
    inference(avatar_split_clause,[status(thm)],[f285,f1156,f1016]) ).

thf(f285,plain,
    ( ( ( street @ sK5 @ mactual )
      = $true )
    | ( ( lonely @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f282]) ).

thf(f282,plain,
    ( ( ( street @ sK5 @ mactual )
      = $true )
    | ( ( ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f280]) ).

thf(f1161,plain,
    ( spl1_49
    | spl1_34 ),
    inference(avatar_split_clause,[status(thm)],[f287,f1010,f1156]) ).

thf(f287,plain,
    ( ( ( barrel @ sK6 @ sK7 @ mactual )
      = $true )
    | ( ( street @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f284]) ).

thf(f284,plain,
    ( ( ( ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( street @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f282]) ).

thf(f1160,plain,
    ( spl1_33
    | spl1_49 ),
    inference(avatar_split_clause,[status(thm)],[f289,f1156,f1004]) ).

thf(f289,plain,
    ( ( ( street @ sK5 @ mactual )
      = $true )
    | ( ( down @ sK6 @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f286]) ).

thf(f286,plain,
    ( ( ( ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( street @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f284]) ).

thf(f1159,plain,
    ( spl1_49
    | spl1_31 ),
    inference(avatar_split_clause,[status(thm)],[f288,f994,f1156]) ).

thf(f288,plain,
    ( ( ( street @ sK5 @ mactual )
      = $true )
    | ( ( in @ sK6 @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f286]) ).

thf(f1154,plain,
    ( spl1_48
    | spl1_44 ),
    inference(avatar_split_clause,[status(thm)],[f293,f1094,f1143]) ).

thf(f293,plain,
    ( ( ( white @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( way @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f291]) ).

thf(f291,plain,
    ( ( ( ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( $true
      = ( way @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f272]) ).

thf(f272,plain,
    ( ( ( ( way @ sK5 @ mactual )
        & ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f254]) ).

thf(f1153,plain,
    ( spl1_48
    | spl1_42 ),
    inference(avatar_split_clause,[status(thm)],[f295,f1073,f1143]) ).

thf(f295,plain,
    ( ( ( dirty @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( way @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f292]) ).

thf(f292,plain,
    ( ( ( ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( $true
      = ( way @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f291]) ).

thf(f1152,plain,
    ( spl1_48
    | spl1_40 ),
    inference(avatar_split_clause,[status(thm)],[f297,f1054,f1143]) ).

thf(f297,plain,
    ( ( ( old @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( way @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f294]) ).

thf(f294,plain,
    ( ( ( ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( $true
      = ( way @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f292]) ).

thf(f1151,plain,
    ( spl1_39
    | spl1_48 ),
    inference(avatar_split_clause,[status(thm)],[f299,f1143,f1046]) ).

thf(f299,plain,
    ( ( $true
      = ( way @ sK5 @ mactual ) )
    | ( $true
      = ( street @ sK8 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f296]) ).

thf(f296,plain,
    ( ( ( ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( $true
      = ( way @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f294]) ).

thf(f1150,plain,
    ( spl1_37
    | spl1_48 ),
    inference(avatar_split_clause,[status(thm)],[f301,f1143,f1030]) ).

thf(f301,plain,
    ( ( $true
      = ( way @ sK5 @ mactual ) )
    | ( ( way @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f298]) ).

thf(f298,plain,
    ( ( ( ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( $true
      = ( way @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f296]) ).

thf(f1149,plain,
    ( spl1_48
    | spl1_35 ),
    inference(avatar_split_clause,[status(thm)],[f303,f1016,f1143]) ).

thf(f303,plain,
    ( ( ( lonely @ sK8 @ mactual )
      = $true )
    | ( $true
      = ( way @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f300]) ).

thf(f300,plain,
    ( ( ( ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( $true
      = ( way @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f298]) ).

thf(f1148,plain,
    ( spl1_34
    | spl1_48 ),
    inference(avatar_split_clause,[status(thm)],[f305,f1143,f1010]) ).

thf(f305,plain,
    ( ( ( barrel @ sK6 @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( way @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f302]) ).

thf(f302,plain,
    ( ( ( ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( $true
      = ( way @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f300]) ).

thf(f1147,plain,
    ( spl1_48
    | spl1_33 ),
    inference(avatar_split_clause,[status(thm)],[f307,f1004,f1143]) ).

thf(f307,plain,
    ( ( ( down @ sK6 @ sK8 @ mactual )
      = $true )
    | ( $true
      = ( way @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f304]) ).

thf(f304,plain,
    ( ( $true
      = ( way @ sK5 @ mactual ) )
    | ( ( ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f302]) ).

thf(f1146,plain,
    ( spl1_48
    | spl1_31 ),
    inference(avatar_split_clause,[status(thm)],[f306,f994,f1143]) ).

thf(f306,plain,
    ( ( $true
      = ( way @ sK5 @ mactual ) )
    | ( ( in @ sK6 @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f304]) ).

thf(f1141,plain,
    ( spl1_47
    | spl1_44 ),
    inference(avatar_split_clause,[status(thm)],[f311,f1094,f1130]) ).

thf(f311,plain,
    ( ( ( white @ sK7 @ mactual )
      = $true )
    | ( ( lonely @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f309]) ).

thf(f309,plain,
    ( ( ( ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( lonely @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f290]) ).

thf(f290,plain,
    ( ( $true
      = ( ( lonely @ sK5 @ mactual )
        & ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) )
    | ( ( ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f272]) ).

thf(f1140,plain,
    ( spl1_47
    | spl1_42 ),
    inference(avatar_split_clause,[status(thm)],[f313,f1073,f1130]) ).

thf(f313,plain,
    ( ( ( dirty @ sK7 @ mactual )
      = $true )
    | ( ( lonely @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f310]) ).

thf(f310,plain,
    ( ( ( lonely @ sK5 @ mactual )
      = $true )
    | ( ( ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f309]) ).

thf(f1139,plain,
    ( spl1_47
    | spl1_40 ),
    inference(avatar_split_clause,[status(thm)],[f315,f1054,f1130]) ).

thf(f315,plain,
    ( ( ( lonely @ sK5 @ mactual )
      = $true )
    | ( ( old @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f312]) ).

thf(f312,plain,
    ( ( ( lonely @ sK5 @ mactual )
      = $true )
    | ( ( ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f310]) ).

thf(f1138,plain,
    ( spl1_47
    | spl1_39 ),
    inference(avatar_split_clause,[status(thm)],[f317,f1046,f1130]) ).

thf(f317,plain,
    ( ( ( lonely @ sK5 @ mactual )
      = $true )
    | ( $true
      = ( street @ sK8 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f314]) ).

thf(f314,plain,
    ( ( ( lonely @ sK5 @ mactual )
      = $true )
    | ( ( ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f312]) ).

thf(f1137,plain,
    ( spl1_37
    | spl1_47 ),
    inference(avatar_split_clause,[status(thm)],[f319,f1130,f1030]) ).

thf(f319,plain,
    ( ( ( lonely @ sK5 @ mactual )
      = $true )
    | ( ( way @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f316]) ).

thf(f316,plain,
    ( ( ( lonely @ sK5 @ mactual )
      = $true )
    | ( ( ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f314]) ).

thf(f1136,plain,
    ( spl1_35
    | spl1_47 ),
    inference(avatar_split_clause,[status(thm)],[f321,f1130,f1016]) ).

thf(f321,plain,
    ( ( ( lonely @ sK5 @ mactual )
      = $true )
    | ( ( lonely @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f318]) ).

thf(f318,plain,
    ( ( ( lonely @ sK5 @ mactual )
      = $true )
    | ( ( ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f316]) ).

thf(f1135,plain,
    ( spl1_47
    | spl1_34 ),
    inference(avatar_split_clause,[status(thm)],[f323,f1010,f1130]) ).

thf(f323,plain,
    ( ( ( barrel @ sK6 @ sK7 @ mactual )
      = $true )
    | ( ( lonely @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f320]) ).

thf(f320,plain,
    ( ( ( ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( lonely @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f318]) ).

thf(f1134,plain,
    ( spl1_47
    | spl1_33 ),
    inference(avatar_split_clause,[status(thm)],[f325,f1004,f1130]) ).

thf(f325,plain,
    ( ( ( lonely @ sK5 @ mactual )
      = $true )
    | ( ( down @ sK6 @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f322]) ).

thf(f322,plain,
    ( ( ( ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( lonely @ sK5 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f320]) ).

thf(f1133,plain,
    ( spl1_47
    | spl1_31 ),
    inference(avatar_split_clause,[status(thm)],[f324,f994,f1130]) ).

thf(f324,plain,
    ( ( ( lonely @ sK5 @ mactual )
      = $true )
    | ( ( in @ sK6 @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f322]) ).

thf(f1128,plain,
    ( spl1_46
    | spl1_44 ),
    inference(avatar_split_clause,[status(thm)],[f329,f1094,f1117]) ).

thf(f329,plain,
    ( ( ( chevy @ sK10 @ mactual )
      = $true )
    | ( ( white @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f327]) ).

thf(f327,plain,
    ( ( ( chevy @ sK10 @ mactual )
      = $true )
    | ( ( ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f308]) ).

thf(f308,plain,
    ( ( ( ( chevy @ sK10 @ mactual )
        & ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f290]) ).

thf(f1127,plain,
    ( spl1_46
    | spl1_42 ),
    inference(avatar_split_clause,[status(thm)],[f331,f1073,f1117]) ).

thf(f331,plain,
    ( ( ( chevy @ sK10 @ mactual )
      = $true )
    | ( ( dirty @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f328]) ).

thf(f328,plain,
    ( ( ( ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( chevy @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f327]) ).

thf(f1126,plain,
    ( spl1_46
    | spl1_40 ),
    inference(avatar_split_clause,[status(thm)],[f333,f1054,f1117]) ).

thf(f333,plain,
    ( ( ( old @ sK7 @ mactual )
      = $true )
    | ( ( chevy @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f330]) ).

thf(f330,plain,
    ( ( ( chevy @ sK10 @ mactual )
      = $true )
    | ( ( ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f328]) ).

thf(f1125,plain,
    ( spl1_46
    | spl1_39 ),
    inference(avatar_split_clause,[status(thm)],[f335,f1046,f1117]) ).

thf(f335,plain,
    ( ( $true
      = ( street @ sK8 @ mactual ) )
    | ( ( chevy @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f332]) ).

thf(f332,plain,
    ( ( ( chevy @ sK10 @ mactual )
      = $true )
    | ( ( ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f330]) ).

thf(f1124,plain,
    ( spl1_37
    | spl1_46 ),
    inference(avatar_split_clause,[status(thm)],[f337,f1117,f1030]) ).

thf(f337,plain,
    ( ( ( way @ sK8 @ mactual )
      = $true )
    | ( ( chevy @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f334]) ).

thf(f334,plain,
    ( ( ( ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( chevy @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f332]) ).

thf(f1123,plain,
    ( spl1_35
    | spl1_46 ),
    inference(avatar_split_clause,[status(thm)],[f339,f1117,f1016]) ).

thf(f339,plain,
    ( ( ( lonely @ sK8 @ mactual )
      = $true )
    | ( ( chevy @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f336]) ).

thf(f336,plain,
    ( ( ( chevy @ sK10 @ mactual )
      = $true )
    | ( ( ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f334]) ).

thf(f1122,plain,
    ( spl1_34
    | spl1_46 ),
    inference(avatar_split_clause,[status(thm)],[f341,f1117,f1010]) ).

thf(f341,plain,
    ( ( ( barrel @ sK6 @ sK7 @ mactual )
      = $true )
    | ( ( chevy @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f338]) ).

thf(f338,plain,
    ( ( ( ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( chevy @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f336]) ).

thf(f1121,plain,
    ( spl1_33
    | spl1_46 ),
    inference(avatar_split_clause,[status(thm)],[f343,f1117,f1004]) ).

thf(f343,plain,
    ( ( ( chevy @ sK10 @ mactual )
      = $true )
    | ( ( down @ sK6 @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f340]) ).

thf(f340,plain,
    ( ( ( chevy @ sK10 @ mactual )
      = $true )
    | ( ( ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f338]) ).

thf(f1120,plain,
    ( spl1_31
    | spl1_46 ),
    inference(avatar_split_clause,[status(thm)],[f342,f1117,f994]) ).

thf(f342,plain,
    ( ( ( chevy @ sK10 @ mactual )
      = $true )
    | ( ( in @ sK6 @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f340]) ).

thf(f1115,plain,
    ( spl1_45
    | spl1_44 ),
    inference(avatar_split_clause,[status(thm)],[f347,f1094,f1104]) ).

thf(f347,plain,
    ( ( ( white @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( car @ sK10 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f345]) ).

thf(f345,plain,
    ( ( ( ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( $true
      = ( car @ sK10 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f326]) ).

thf(f326,plain,
    ( ( ( ( car @ sK10 @ mactual )
        & ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f308]) ).

thf(f1114,plain,
    ( spl1_42
    | spl1_45 ),
    inference(avatar_split_clause,[status(thm)],[f349,f1104,f1073]) ).

thf(f349,plain,
    ( ( ( dirty @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( car @ sK10 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f346]) ).

thf(f346,plain,
    ( ( $true
      = ( car @ sK10 @ mactual ) )
    | ( ( ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f345]) ).

thf(f1113,plain,
    ( spl1_40
    | spl1_45 ),
    inference(avatar_split_clause,[status(thm)],[f351,f1104,f1054]) ).

thf(f351,plain,
    ( ( ( old @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( car @ sK10 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f348]) ).

thf(f348,plain,
    ( ( ( ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( $true
      = ( car @ sK10 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f346]) ).

thf(f1112,plain,
    ( spl1_39
    | spl1_45 ),
    inference(avatar_split_clause,[status(thm)],[f353,f1104,f1046]) ).

thf(f353,plain,
    ( ( $true
      = ( street @ sK8 @ mactual ) )
    | ( $true
      = ( car @ sK10 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f350]) ).

thf(f350,plain,
    ( ( $true
      = ( car @ sK10 @ mactual ) )
    | ( ( ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f348]) ).

thf(f1111,plain,
    ( spl1_37
    | spl1_45 ),
    inference(avatar_split_clause,[status(thm)],[f355,f1104,f1030]) ).

thf(f355,plain,
    ( ( $true
      = ( car @ sK10 @ mactual ) )
    | ( ( way @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f352]) ).

thf(f352,plain,
    ( ( $true
      = ( car @ sK10 @ mactual ) )
    | ( ( ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f350]) ).

thf(f1110,plain,
    ( spl1_45
    | spl1_35 ),
    inference(avatar_split_clause,[status(thm)],[f357,f1016,f1104]) ).

thf(f357,plain,
    ( ( $true
      = ( car @ sK10 @ mactual ) )
    | ( ( lonely @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f354]) ).

thf(f354,plain,
    ( ( ( ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( $true
      = ( car @ sK10 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f352]) ).

thf(f1109,plain,
    ( spl1_45
    | spl1_34 ),
    inference(avatar_split_clause,[status(thm)],[f359,f1010,f1104]) ).

thf(f359,plain,
    ( ( ( barrel @ sK6 @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( car @ sK10 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f356]) ).

thf(f356,plain,
    ( ( ( ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( $true
      = ( car @ sK10 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f354]) ).

thf(f1108,plain,
    ( spl1_33
    | spl1_45 ),
    inference(avatar_split_clause,[status(thm)],[f361,f1104,f1004]) ).

thf(f361,plain,
    ( ( ( down @ sK6 @ sK8 @ mactual )
      = $true )
    | ( $true
      = ( car @ sK10 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f358]) ).

thf(f358,plain,
    ( ( ( ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( $true
      = ( car @ sK10 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f356]) ).

thf(f1107,plain,
    ( spl1_31
    | spl1_45 ),
    inference(avatar_split_clause,[status(thm)],[f360,f1104,f994]) ).

thf(f360,plain,
    ( ( ( in @ sK6 @ sK3 @ mactual )
      = $true )
    | ( $true
      = ( car @ sK10 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f358]) ).

thf(f1102,plain,
    ( spl1_43
    | spl1_44 ),
    inference(avatar_split_clause,[status(thm)],[f365,f1094,f1082]) ).

thf(f365,plain,
    ( ( ( white @ sK7 @ mactual )
      = $true )
    | ( ( white @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f363]) ).

thf(f363,plain,
    ( ( ( white @ sK7 @ mactual )
      = $true )
    | ( ( ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f344]) ).

thf(f344,plain,
    ( ( ( ( white @ sK7 @ mactual )
        & ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f326]) ).

thf(f1101,plain,
    ( spl1_44
    | spl1_41 ),
    inference(avatar_split_clause,[status(thm)],[f367,f1062,f1094]) ).

thf(f367,plain,
    ( ( ( white @ sK7 @ mactual )
      = $true )
    | ( ( dirty @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f364]) ).

thf(f364,plain,
    ( ( ( ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( white @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f363]) ).

thf(f1100,plain,
    ( spl1_38
    | spl1_44 ),
    inference(avatar_split_clause,[status(thm)],[f369,f1094,f1037]) ).

thf(f369,plain,
    ( ( ( white @ sK7 @ mactual )
      = $true )
    | ( ( old @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f366]) ).

thf(f366,plain,
    ( ( ( white @ sK7 @ mactual )
      = $true )
    | ( ( ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f364]) ).

thf(f1099,plain,
    ( spl1_36
    | spl1_44 ),
    inference(avatar_split_clause,[status(thm)],[f371,f1094,f1022]) ).

thf(f371,plain,
    ( ( ( white @ sK7 @ mactual )
      = $true )
    | ( ( barrel @ sK4 @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f368]) ).

thf(f368,plain,
    ( ( ( white @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f366]) ).

thf(f1098,plain,
    ( spl1_32
    | spl1_44 ),
    inference(avatar_split_clause,[status(thm)],[f373,f1094,f999]) ).

thf(f373,plain,
    ( ( ( white @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( down @ sK4 @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f370]) ).

thf(f370,plain,
    ( ( ( ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( white @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f368]) ).

thf(f1097,plain,
    ( spl1_44
    | spl1_30 ),
    inference(avatar_split_clause,[status(thm)],[f372,f990,f1094]) ).

thf(f372,plain,
    ( ( ( white @ sK7 @ mactual )
      = $true )
    | ( ( in @ sK4 @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f370]) ).

thf(f1092,plain,
    ( spl1_42
    | spl1_43 ),
    inference(avatar_split_clause,[status(thm)],[f377,f1082,f1073]) ).

thf(f377,plain,
    ( ( ( white @ sK10 @ mactual )
      = $true )
    | ( ( dirty @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f375]) ).

thf(f375,plain,
    ( ( ( white @ sK10 @ mactual )
      = $true )
    | ( ( ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f362]) ).

thf(f362,plain,
    ( ( ( ( white @ sK10 @ mactual )
        & ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f344]) ).

thf(f1091,plain,
    ( spl1_40
    | spl1_43 ),
    inference(avatar_split_clause,[status(thm)],[f379,f1082,f1054]) ).

thf(f379,plain,
    ( ( ( white @ sK10 @ mactual )
      = $true )
    | ( ( old @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f376]) ).

thf(f376,plain,
    ( ( ( ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( white @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f375]) ).

thf(f1090,plain,
    ( spl1_43
    | spl1_39 ),
    inference(avatar_split_clause,[status(thm)],[f381,f1046,f1082]) ).

thf(f381,plain,
    ( ( ( white @ sK10 @ mactual )
      = $true )
    | ( $true
      = ( street @ sK8 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f378]) ).

thf(f378,plain,
    ( ( ( white @ sK10 @ mactual )
      = $true )
    | ( ( ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f376]) ).

thf(f1089,plain,
    ( spl1_37
    | spl1_43 ),
    inference(avatar_split_clause,[status(thm)],[f383,f1082,f1030]) ).

thf(f383,plain,
    ( ( ( white @ sK10 @ mactual )
      = $true )
    | ( ( way @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f380]) ).

thf(f380,plain,
    ( ( ( white @ sK10 @ mactual )
      = $true )
    | ( ( ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f378]) ).

thf(f1088,plain,
    ( spl1_35
    | spl1_43 ),
    inference(avatar_split_clause,[status(thm)],[f385,f1082,f1016]) ).

thf(f385,plain,
    ( ( ( white @ sK10 @ mactual )
      = $true )
    | ( ( lonely @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f382]) ).

thf(f382,plain,
    ( ( ( ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( white @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f380]) ).

thf(f1087,plain,
    ( spl1_34
    | spl1_43 ),
    inference(avatar_split_clause,[status(thm)],[f387,f1082,f1010]) ).

thf(f387,plain,
    ( ( ( white @ sK10 @ mactual )
      = $true )
    | ( ( barrel @ sK6 @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f384]) ).

thf(f384,plain,
    ( ( ( ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( white @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f382]) ).

thf(f1086,plain,
    ( spl1_43
    | spl1_33 ),
    inference(avatar_split_clause,[status(thm)],[f389,f1004,f1082]) ).

thf(f389,plain,
    ( ( ( down @ sK6 @ sK8 @ mactual )
      = $true )
    | ( ( white @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f386]) ).

thf(f386,plain,
    ( ( ( white @ sK10 @ mactual )
      = $true )
    | ( ( ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f384]) ).

thf(f1085,plain,
    ( spl1_31
    | spl1_43 ),
    inference(avatar_split_clause,[status(thm)],[f388,f1082,f994]) ).

thf(f388,plain,
    ( ( ( white @ sK10 @ mactual )
      = $true )
    | ( ( in @ sK6 @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f386]) ).

thf(f1080,plain,
    ( spl1_42
    | spl1_41 ),
    inference(avatar_split_clause,[status(thm)],[f393,f1062,f1073]) ).

thf(f393,plain,
    ( ( ( dirty @ sK7 @ mactual )
      = $true )
    | ( ( dirty @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f391]) ).

thf(f391,plain,
    ( ( ( ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( dirty @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f374]) ).

thf(f374,plain,
    ( ( ( ( dirty @ sK7 @ mactual )
        & ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f362]) ).

thf(f1079,plain,
    ( spl1_38
    | spl1_42 ),
    inference(avatar_split_clause,[status(thm)],[f395,f1073,f1037]) ).

thf(f395,plain,
    ( ( ( old @ sK10 @ mactual )
      = $true )
    | ( ( dirty @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f392]) ).

thf(f392,plain,
    ( ( ( ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( dirty @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f391]) ).

thf(f1078,plain,
    ( spl1_42
    | spl1_36 ),
    inference(avatar_split_clause,[status(thm)],[f397,f1022,f1073]) ).

thf(f397,plain,
    ( ( ( dirty @ sK7 @ mactual )
      = $true )
    | ( ( barrel @ sK4 @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f394]) ).

thf(f394,plain,
    ( ( ( dirty @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f392]) ).

thf(f1077,plain,
    ( spl1_32
    | spl1_42 ),
    inference(avatar_split_clause,[status(thm)],[f399,f1073,f999]) ).

thf(f399,plain,
    ( ( ( dirty @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( down @ sK4 @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f396]) ).

thf(f396,plain,
    ( ( ( ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( dirty @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f394]) ).

thf(f1076,plain,
    ( spl1_42
    | spl1_30 ),
    inference(avatar_split_clause,[status(thm)],[f398,f990,f1073]) ).

thf(f398,plain,
    ( ( ( in @ sK4 @ sK2 @ mactual )
      = $true )
    | ( ( dirty @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f396]) ).

thf(f1071,plain,
    ( spl1_40
    | spl1_41 ),
    inference(avatar_split_clause,[status(thm)],[f403,f1062,f1054]) ).

thf(f403,plain,
    ( ( ( dirty @ sK10 @ mactual )
      = $true )
    | ( ( old @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f401]) ).

thf(f401,plain,
    ( ( ( dirty @ sK10 @ mactual )
      = $true )
    | ( ( ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f390]) ).

thf(f390,plain,
    ( ( ( ( dirty @ sK10 @ mactual )
        & ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f374]) ).

thf(f1070,plain,
    ( spl1_39
    | spl1_41 ),
    inference(avatar_split_clause,[status(thm)],[f405,f1062,f1046]) ).

thf(f405,plain,
    ( ( $true
      = ( street @ sK8 @ mactual ) )
    | ( ( dirty @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f402]) ).

thf(f402,plain,
    ( ( ( ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( dirty @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f401]) ).

thf(f1069,plain,
    ( spl1_37
    | spl1_41 ),
    inference(avatar_split_clause,[status(thm)],[f407,f1062,f1030]) ).

thf(f407,plain,
    ( ( ( dirty @ sK10 @ mactual )
      = $true )
    | ( ( way @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f404]) ).

thf(f404,plain,
    ( ( ( dirty @ sK10 @ mactual )
      = $true )
    | ( ( ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f402]) ).

thf(f1068,plain,
    ( spl1_35
    | spl1_41 ),
    inference(avatar_split_clause,[status(thm)],[f409,f1062,f1016]) ).

thf(f409,plain,
    ( ( ( lonely @ sK8 @ mactual )
      = $true )
    | ( ( dirty @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f406]) ).

thf(f406,plain,
    ( ( ( ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( dirty @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f404]) ).

thf(f1067,plain,
    ( spl1_41
    | spl1_34 ),
    inference(avatar_split_clause,[status(thm)],[f411,f1010,f1062]) ).

thf(f411,plain,
    ( ( ( dirty @ sK10 @ mactual )
      = $true )
    | ( ( barrel @ sK6 @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f408]) ).

thf(f408,plain,
    ( ( ( dirty @ sK10 @ mactual )
      = $true )
    | ( ( ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f406]) ).

thf(f1066,plain,
    ( spl1_33
    | spl1_41 ),
    inference(avatar_split_clause,[status(thm)],[f413,f1062,f1004]) ).

thf(f413,plain,
    ( ( ( dirty @ sK10 @ mactual )
      = $true )
    | ( ( down @ sK6 @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f410]) ).

thf(f410,plain,
    ( ( ( ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( dirty @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f408]) ).

thf(f1065,plain,
    ( spl1_41
    | spl1_31 ),
    inference(avatar_split_clause,[status(thm)],[f412,f994,f1062]) ).

thf(f412,plain,
    ( ( ( dirty @ sK10 @ mactual )
      = $true )
    | ( ( in @ sK6 @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f410]) ).

thf(f1060,plain,
    ( spl1_40
    | spl1_38 ),
    inference(avatar_split_clause,[status(thm)],[f417,f1037,f1054]) ).

thf(f417,plain,
    ( ( ( old @ sK10 @ mactual )
      = $true )
    | ( ( old @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f415]) ).

thf(f415,plain,
    ( ( ( ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( old @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f400]) ).

thf(f400,plain,
    ( ( ( ( old @ sK7 @ mactual )
        & ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f390]) ).

thf(f1059,plain,
    ( spl1_36
    | spl1_40 ),
    inference(avatar_split_clause,[status(thm)],[f419,f1054,f1022]) ).

thf(f419,plain,
    ( ( ( barrel @ sK4 @ sK10 @ mactual )
      = $true )
    | ( ( old @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f416]) ).

thf(f416,plain,
    ( ( ( old @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f415]) ).

thf(f1058,plain,
    ( spl1_40
    | spl1_32 ),
    inference(avatar_split_clause,[status(thm)],[f421,f999,f1054]) ).

thf(f421,plain,
    ( ( ( old @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( down @ sK4 @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f418]) ).

thf(f418,plain,
    ( ( ( ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( old @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f416]) ).

thf(f1057,plain,
    ( spl1_30
    | spl1_40 ),
    inference(avatar_split_clause,[status(thm)],[f420,f1054,f990]) ).

thf(f420,plain,
    ( ( ( old @ sK7 @ mactual )
      = $true )
    | ( ( in @ sK4 @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f418]) ).

thf(f1052,plain,
    ( spl1_39
    | spl1_38 ),
    inference(avatar_split_clause,[status(thm)],[f425,f1037,f1046]) ).

thf(f425,plain,
    ( ( $true
      = ( street @ sK8 @ mactual ) )
    | ( ( old @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f423]) ).

thf(f423,plain,
    ( ( $true
      = ( street @ sK8 @ mactual ) )
    | ( ( ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f414]) ).

thf(f414,plain,
    ( ( ( ( street @ sK8 @ mactual )
        & ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f400]) ).

thf(f1051,plain,
    ( spl1_36
    | spl1_39 ),
    inference(avatar_split_clause,[status(thm)],[f427,f1046,f1022]) ).

thf(f427,plain,
    ( ( ( barrel @ sK4 @ sK10 @ mactual )
      = $true )
    | ( $true
      = ( street @ sK8 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f424]) ).

thf(f424,plain,
    ( ( $true
      = ( street @ sK8 @ mactual ) )
    | ( $true
      = ( ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f423]) ).

thf(f1050,plain,
    ( spl1_32
    | spl1_39 ),
    inference(avatar_split_clause,[status(thm)],[f429,f1046,f999]) ).

thf(f429,plain,
    ( ( $true
      = ( street @ sK8 @ mactual ) )
    | ( $true
      = ( down @ sK4 @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f426]) ).

thf(f426,plain,
    ( ( ( ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( $true
      = ( street @ sK8 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f424]) ).

thf(f1049,plain,
    ( spl1_30
    | spl1_39 ),
    inference(avatar_split_clause,[status(thm)],[f428,f1046,f990]) ).

thf(f428,plain,
    ( ( ( in @ sK4 @ sK2 @ mactual )
      = $true )
    | ( $true
      = ( street @ sK8 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f426]) ).

thf(f1044,plain,
    ( spl1_37
    | spl1_38 ),
    inference(avatar_split_clause,[status(thm)],[f433,f1037,f1030]) ).

thf(f433,plain,
    ( ( ( way @ sK8 @ mactual )
      = $true )
    | ( ( old @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f431]) ).

thf(f431,plain,
    ( ( ( ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( old @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f422]) ).

thf(f422,plain,
    ( ( ( ( old @ sK10 @ mactual )
        & ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true )
    | ( ( ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f414]) ).

thf(f1043,plain,
    ( spl1_35
    | spl1_38 ),
    inference(avatar_split_clause,[status(thm)],[f435,f1037,f1016]) ).

thf(f435,plain,
    ( ( ( old @ sK10 @ mactual )
      = $true )
    | ( ( lonely @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f432]) ).

thf(f432,plain,
    ( ( ( ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( old @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f431]) ).

thf(f1042,plain,
    ( spl1_38
    | spl1_34 ),
    inference(avatar_split_clause,[status(thm)],[f437,f1010,f1037]) ).

thf(f437,plain,
    ( ( ( old @ sK10 @ mactual )
      = $true )
    | ( ( barrel @ sK6 @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f434]) ).

thf(f434,plain,
    ( ( ( ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( old @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f432]) ).

thf(f1041,plain,
    ( spl1_33
    | spl1_38 ),
    inference(avatar_split_clause,[status(thm)],[f439,f1037,f1004]) ).

thf(f439,plain,
    ( ( ( old @ sK10 @ mactual )
      = $true )
    | ( ( down @ sK6 @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f436]) ).

thf(f436,plain,
    ( ( ( ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( old @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f434]) ).

thf(f1040,plain,
    ( spl1_38
    | spl1_31 ),
    inference(avatar_split_clause,[status(thm)],[f438,f994,f1037]) ).

thf(f438,plain,
    ( ( ( old @ sK10 @ mactual )
      = $true )
    | ( ( in @ sK6 @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f436]) ).

thf(f1035,plain,
    ( spl1_36
    | spl1_37 ),
    inference(avatar_split_clause,[status(thm)],[f443,f1030,f1022]) ).

thf(f443,plain,
    ( ( ( barrel @ sK4 @ sK10 @ mactual )
      = $true )
    | ( ( way @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f441]) ).

thf(f441,plain,
    ( ( ( way @ sK8 @ mactual )
      = $true )
    | ( $true
      = ( ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f430]) ).

thf(f430,plain,
    ( ( ( ( way @ sK8 @ mactual )
        & ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( $true
      = ( ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f422]) ).

thf(f1034,plain,
    ( spl1_32
    | spl1_37 ),
    inference(avatar_split_clause,[status(thm)],[f445,f1030,f999]) ).

thf(f445,plain,
    ( ( ( way @ sK8 @ mactual )
      = $true )
    | ( $true
      = ( down @ sK4 @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f442]) ).

thf(f442,plain,
    ( ( ( way @ sK8 @ mactual )
      = $true )
    | ( ( ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f441]) ).

thf(f1033,plain,
    ( spl1_30
    | spl1_37 ),
    inference(avatar_split_clause,[status(thm)],[f444,f1030,f990]) ).

thf(f444,plain,
    ( ( ( in @ sK4 @ sK2 @ mactual )
      = $true )
    | ( ( way @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f442]) ).

thf(f1028,plain,
    ( spl1_35
    | spl1_36 ),
    inference(avatar_split_clause,[status(thm)],[f449,f1022,f1016]) ).

thf(f449,plain,
    ( ( ( lonely @ sK8 @ mactual )
      = $true )
    | ( ( barrel @ sK4 @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f447]) ).

thf(f447,plain,
    ( ( ( ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( barrel @ sK4 @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f440]) ).

thf(f440,plain,
    ( ( $true
      = ( ( barrel @ sK4 @ sK10 @ mactual )
        & ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) ) )
    | ( ( ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f430]) ).

thf(f1027,plain,
    ( spl1_36
    | spl1_34 ),
    inference(avatar_split_clause,[status(thm)],[f451,f1010,f1022]) ).

thf(f451,plain,
    ( ( ( barrel @ sK4 @ sK10 @ mactual )
      = $true )
    | ( ( barrel @ sK6 @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f448]) ).

thf(f448,plain,
    ( ( ( ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( barrel @ sK4 @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f447]) ).

thf(f1026,plain,
    ( spl1_33
    | spl1_36 ),
    inference(avatar_split_clause,[status(thm)],[f453,f1022,f1004]) ).

thf(f453,plain,
    ( ( ( down @ sK6 @ sK8 @ mactual )
      = $true )
    | ( ( barrel @ sK4 @ sK10 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f450]) ).

thf(f450,plain,
    ( ( ( barrel @ sK4 @ sK10 @ mactual )
      = $true )
    | ( ( ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f448]) ).

thf(f1025,plain,
    ( spl1_36
    | spl1_31 ),
    inference(avatar_split_clause,[status(thm)],[f452,f994,f1022]) ).

thf(f452,plain,
    ( ( ( barrel @ sK4 @ sK10 @ mactual )
      = $true )
    | ( ( in @ sK6 @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f450]) ).

thf(f1020,plain,
    ( spl1_32
    | spl1_35 ),
    inference(avatar_split_clause,[status(thm)],[f457,f1016,f999]) ).

thf(f457,plain,
    ( ( $true
      = ( down @ sK4 @ sK5 @ mactual ) )
    | ( ( lonely @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f455]) ).

thf(f455,plain,
    ( ( ( lonely @ sK8 @ mactual )
      = $true )
    | ( ( ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f446]) ).

thf(f446,plain,
    ( ( ( ( lonely @ sK8 @ mactual )
        & ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f440]) ).

thf(f1019,plain,
    ( spl1_30
    | spl1_35 ),
    inference(avatar_split_clause,[status(thm)],[f456,f1016,f990]) ).

thf(f456,plain,
    ( ( ( in @ sK4 @ sK2 @ mactual )
      = $true )
    | ( ( lonely @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f455]) ).

thf(f1014,plain,
    ( spl1_32
    | spl1_34 ),
    inference(avatar_split_clause,[status(thm)],[f461,f1010,f999]) ).

thf(f461,plain,
    ( ( ( barrel @ sK6 @ sK7 @ mactual )
      = $true )
    | ( $true
      = ( down @ sK4 @ sK5 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f459]) ).

thf(f459,plain,
    ( ( ( barrel @ sK6 @ sK7 @ mactual )
      = $true )
    | ( ( ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f454]) ).

thf(f454,plain,
    ( ( ( ( barrel @ sK6 @ sK7 @ mactual )
        & ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f446]) ).

thf(f1013,plain,
    ( spl1_34
    | spl1_30 ),
    inference(avatar_split_clause,[status(thm)],[f460,f990,f1010]) ).

thf(f460,plain,
    ( ( ( in @ sK4 @ sK2 @ mactual )
      = $true )
    | ( ( barrel @ sK6 @ sK7 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f459]) ).

thf(f1008,plain,
    ( spl1_33
    | spl1_32 ),
    inference(avatar_split_clause,[status(thm)],[f465,f999,f1004]) ).

thf(f465,plain,
    ( ( $true
      = ( down @ sK4 @ sK5 @ mactual ) )
    | ( ( down @ sK6 @ sK8 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f463]) ).

thf(f463,plain,
    ( ( ( down @ sK6 @ sK8 @ mactual )
      = $true )
    | ( ( ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f458]) ).

thf(f458,plain,
    ( ( ( ( down @ sK6 @ sK8 @ mactual )
        & ( in @ sK6 @ sK3 @ mactual ) )
      = $true )
    | ( ( ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f454]) ).

thf(f1007,plain,
    ( spl1_33
    | spl1_30 ),
    inference(avatar_split_clause,[status(thm)],[f464,f990,f1004]) ).

thf(f464,plain,
    ( ( ( down @ sK6 @ sK8 @ mactual )
      = $true )
    | ( ( in @ sK4 @ sK2 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f463]) ).

thf(f1002,plain,
    ( spl1_32
    | spl1_31 ),
    inference(avatar_split_clause,[status(thm)],[f467,f994,f999]) ).

thf(f467,plain,
    ( ( $true
      = ( down @ sK4 @ sK5 @ mactual ) )
    | ( ( in @ sK6 @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f462]) ).

thf(f462,plain,
    ( ( ( in @ sK6 @ sK3 @ mactual )
      = $true )
    | ( ( ( down @ sK4 @ sK5 @ mactual )
        & ( in @ sK4 @ sK2 @ mactual ) )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f458]) ).

thf(f997,plain,
    ( spl1_30
    | spl1_31 ),
    inference(avatar_split_clause,[status(thm)],[f466,f994,f990]) ).

thf(f466,plain,
    ( ( ( in @ sK4 @ sK2 @ mactual )
      = $true )
    | ( ( in @ sK6 @ sK3 @ mactual )
      = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f462]) ).

thf(f848,plain,
    ( spl1_1
    | spl1_1 ),
    inference(avatar_split_clause,[status(thm)],[f844,f846,f846]) ).

thf(f844,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( street @ X4 @ mactual ) )
      | ( ( chevy @ X7 @ mactual )
        = $false )
      | ( ( way @ X8 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( $false
        = ( down @ X5 @ X8 @ mactual ) )
      | ( ( street @ X8 @ mactual )
        = $false )
      | ( ( chevy @ X6 @ mactual )
        = $false )
      | ( ( lonely @ X8 @ mactual )
        = $false )
      | ( ( white @ X6 @ mactual )
        = $false )
      | ( ( barrel @ X5 @ X6 @ mactual )
        = $false )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( ( down @ X3 @ X4 @ mactual )
        = $false )
      | ( ( city @ X1 @ mactual )
        = $false )
      | ( ( car @ X7 @ mactual )
        = $false )
      | ( ( dirty @ X7 @ mactual )
        = $false )
      | ( ( dirty @ X6 @ mactual )
        = $false )
      | ( ( city @ X2 @ mactual )
        = $false )
      | ( $false
        = ( old @ X7 @ mactual ) )
      | ( ( in @ X3 @ X2 @ mactual )
        = $false )
      | ( ( barrel @ X3 @ X7 @ mactual )
        = $false )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( ( lonely @ X4 @ mactual )
        = $false )
      | ( ( way @ X4 @ mactual )
        = $false )
      | ( ( event @ X5 @ mactual )
        = $false )
      | ( ( hollywood @ X1 @ mactual )
        = $false )
      | ( ( in @ X5 @ X1 @ mactual )
        = $false )
      | ( ( old @ X6 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f843]) ).

thf(f843,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( white @ X6 @ mactual )
        = $false )
      | ( ( lonely @ X8 @ mactual )
        = $false )
      | ( ( way @ X4 @ mactual )
        = $false )
      | ( ( barrel @ X3 @ X7 @ mactual )
        = $false )
      | ( ( old @ X6 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( ( way @ X8 @ mactual )
        = $false )
      | ( $false
        = ( old @ X7 @ mactual ) )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( ( chevy @ X7 @ mactual )
        = $false )
      | ( ( in @ X3 @ X2 @ mactual )
        = $false )
      | ( ( city @ X2 @ mactual )
        = $false )
      | ( ( street @ X8 @ mactual )
        = $false )
      | ( ( car @ X7 @ mactual )
        = $false )
      | ( ( dirty @ X6 @ mactual )
        = $false )
      | ( ( chevy @ X6 @ mactual )
        = $false )
      | ( ( lonely @ X4 @ mactual )
        = $false )
      | ( ( dirty @ X7 @ mactual )
        = $false )
      | ( $false
        = ( street @ X4 @ mactual ) )
      | ( ( barrel @ X5 @ X6 @ mactual )
        = $false )
      | ( ( down @ X3 @ X4 @ mactual )
        = $false )
      | ( ( event @ X5 @ mactual )
        = $false )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( $false
        = ( ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) ) )
      | ( ( city @ X1 @ mactual )
        = $false )
      | ( ( hollywood @ X1 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f842]) ).

thf(f842,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( city @ X1 @ mactual )
        = $false )
      | ( ( dirty @ X7 @ mactual )
        = $false )
      | ( ( car @ X7 @ mactual )
        = $false )
      | ( ( ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( ( city @ X2 @ mactual )
        = $false )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( $false
        = ( ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) ) )
      | ( $false
        = ( old @ X7 @ mactual ) )
      | ( ( barrel @ X3 @ X7 @ mactual )
        = $false )
      | ( ( way @ X8 @ mactual )
        = $false )
      | ( ( hollywood @ X1 @ mactual )
        = $false )
      | ( ( lonely @ X8 @ mactual )
        = $false )
      | ( ( dirty @ X6 @ mactual )
        = $false )
      | ( ( lonely @ X4 @ mactual )
        = $false )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( $false
        = ( street @ X4 @ mactual ) )
      | ( ( way @ X4 @ mactual )
        = $false )
      | ( ( chevy @ X6 @ mactual )
        = $false )
      | ( ( white @ X6 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( ( chevy @ X7 @ mactual )
        = $false )
      | ( ( old @ X6 @ mactual )
        = $false )
      | ( ( barrel @ X5 @ X6 @ mactual )
        = $false )
      | ( ( street @ X8 @ mactual )
        = $false )
      | ( ( event @ X5 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f841]) ).

thf(f841,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( ( chevy @ X7 @ mactual )
        = $false )
      | ( $false
        = ( old @ X7 @ mactual ) )
      | ( ( way @ X4 @ mactual )
        = $false )
      | ( ( chevy @ X6 @ mactual )
        = $false )
      | ( ( dirty @ X6 @ mactual )
        = $false )
      | ( ( lonely @ X8 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( ( way @ X8 @ mactual )
        = $false )
      | ( ( car @ X7 @ mactual )
        = $false )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( ( city @ X2 @ mactual )
        = $false )
      | ( ( hollywood @ X1 @ mactual )
        = $false )
      | ( ( city @ X1 @ mactual )
        = $false )
      | ( $false
        = ( street @ X4 @ mactual ) )
      | ( ( white @ X6 @ mactual )
        = $false )
      | ( ( event @ X5 @ mactual )
        = $false )
      | ( ( old @ X6 @ mactual )
        = $false )
      | ( ( lonely @ X4 @ mactual )
        = $false )
      | ( $false
        = ( ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) ) )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( ( barrel @ X5 @ X6 @ mactual )
        = $false )
      | ( ( street @ X8 @ mactual )
        = $false )
      | ( ( dirty @ X7 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f840]) ).

thf(f840,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( chevy @ X6 @ mactual )
        = $false )
      | ( ( dirty @ X6 @ mactual )
        = $false )
      | ( ( chevy @ X7 @ mactual )
        = $false )
      | ( ( dirty @ X7 @ mactual )
        = $false )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( ( lonely @ X4 @ mactual )
        = $false )
      | ( $false
        = ( old @ X7 @ mactual ) )
      | ( ( old @ X6 @ mactual )
        = $false )
      | ( ( event @ X5 @ mactual )
        = $false )
      | ( ( hollywood @ X1 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( $false
        = ( ( barrel @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) ) )
      | ( ( city @ X2 @ mactual )
        = $false )
      | ( ( white @ X6 @ mactual )
        = $false )
      | ( $false
        = ( street @ X4 @ mactual ) )
      | ( ( lonely @ X8 @ mactual )
        = $false )
      | ( ( way @ X8 @ mactual )
        = $false )
      | ( ( ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( ( way @ X4 @ mactual )
        = $false )
      | ( ( street @ X8 @ mactual )
        = $false )
      | ( ( car @ X7 @ mactual )
        = $false )
      | ( ( city @ X1 @ mactual )
        = $false )
      | ( $false
        = ( car @ X6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f839]) ).

thf(f839,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( ( lonely @ X8 @ mactual )
          & ( barrel @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) )
        = $false )
      | ( ( city @ X2 @ mactual )
        = $false )
      | ( ( hollywood @ X1 @ mactual )
        = $false )
      | ( ( city @ X1 @ mactual )
        = $false )
      | ( ( way @ X4 @ mactual )
        = $false )
      | ( ( white @ X6 @ mactual )
        = $false )
      | ( ( way @ X8 @ mactual )
        = $false )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( $false
        = ( street @ X4 @ mactual ) )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( ( chevy @ X6 @ mactual )
        = $false )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( $false
        = ( old @ X7 @ mactual ) )
      | ( ( event @ X5 @ mactual )
        = $false )
      | ( ( ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( ( street @ X8 @ mactual )
        = $false )
      | ( ( car @ X7 @ mactual )
        = $false )
      | ( ( lonely @ X4 @ mactual )
        = $false )
      | ( ( chevy @ X7 @ mactual )
        = $false )
      | ( ( old @ X6 @ mactual )
        = $false )
      | ( ( dirty @ X6 @ mactual )
        = $false )
      | ( ( dirty @ X7 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f838]) ).

thf(f838,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( car @ X6 @ mactual ) )
      | ( ( ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) )
        = $false )
      | ( ( car @ X7 @ mactual )
        = $false )
      | ( ( city @ X1 @ mactual )
        = $false )
      | ( ( dirty @ X7 @ mactual )
        = $false )
      | ( ( hollywood @ X1 @ mactual )
        = $false )
      | ( ( ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( ( way @ X4 @ mactual )
        = $false )
      | ( $false
        = ( street @ X4 @ mactual ) )
      | ( ( chevy @ X7 @ mactual )
        = $false )
      | ( ( lonely @ X4 @ mactual )
        = $false )
      | ( ( street @ X8 @ mactual )
        = $false )
      | ( ( old @ X6 @ mactual )
        = $false )
      | ( ( event @ X5 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( ( chevy @ X6 @ mactual )
        = $false )
      | ( ( dirty @ X6 @ mactual )
        = $false )
      | ( $false
        = ( old @ X7 @ mactual ) )
      | ( ( white @ X6 @ mactual )
        = $false )
      | ( ( city @ X2 @ mactual )
        = $false )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( ( event @ X3 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f837]) ).

thf(f837,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( dirty @ X6 @ mactual )
        = $false )
      | ( ( lonely @ X4 @ mactual )
        = $false )
      | ( ( street @ X8 @ mactual )
        = $false )
      | ( ( old @ X6 @ mactual )
        = $false )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( ( way @ X4 @ mactual )
        = $false )
      | ( ( city @ X2 @ mactual )
        = $false )
      | ( ( hollywood @ X1 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( ( ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( ( dirty @ X7 @ mactual )
        = $false )
      | ( ( city @ X1 @ mactual )
        = $false )
      | ( $false
        = ( street @ X4 @ mactual ) )
      | ( ( white @ X6 @ mactual )
        = $false )
      | ( ( event @ X5 @ mactual )
        = $false )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( ( car @ X7 @ mactual )
        = $false )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( ( ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) )
        = $false )
      | ( ( chevy @ X6 @ mactual )
        = $false )
      | ( ( chevy @ X7 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f836]) ).

thf(f836,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( way @ X4 @ mactual )
        = $false )
      | ( ( city @ X1 @ mactual )
        = $false )
      | ( ( event @ X5 @ mactual )
        = $false )
      | ( ( white @ X6 @ mactual )
        = $false )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( ( car @ X7 @ mactual )
        = $false )
      | ( ( dirty @ X6 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( ( lonely @ X4 @ mactual )
        = $false )
      | ( ( chevy @ X7 @ mactual )
        = $false )
      | ( ( dirty @ X7 @ mactual )
        = $false )
      | ( ( ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) )
        = $false )
      | ( ( ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( ( city @ X2 @ mactual )
        = $false )
      | ( ( old @ X6 @ mactual )
        = $false )
      | ( ( hollywood @ X1 @ mactual )
        = $false )
      | ( ( chevy @ X6 @ mactual )
        = $false )
      | ( $false
        = ( street @ X4 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f835]) ).

thf(f835,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( chevy @ X6 @ mactual )
        = $false )
      | ( ( chevy @ X7 @ mactual )
        = $false )
      | ( ( car @ X7 @ mactual )
        = $false )
      | ( ( dirty @ X7 @ mactual )
        = $false )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( ( city @ X2 @ mactual )
        = $false )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( ( event @ X5 @ mactual )
        = $false )
      | ( $false
        = ( ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) ) )
      | ( ( hollywood @ X1 @ mactual )
        = $false )
      | ( ( ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( ( lonely @ X4 @ mactual )
        = $false )
      | ( ( city @ X1 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( ( white @ X6 @ mactual )
        = $false )
      | ( $false
        = ( street @ X4 @ mactual ) )
      | ( ( way @ X4 @ mactual )
        = $false )
      | ( ( dirty @ X6 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f834]) ).

thf(f834,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( ( dirty @ X6 @ mactual )
          & ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) ) )
      | ( ( lonely @ X4 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( ( event @ X5 @ mactual )
        = $false )
      | ( ( hollywood @ X1 @ mactual )
        = $false )
      | ( ( car @ X7 @ mactual )
        = $false )
      | ( ( city @ X2 @ mactual )
        = $false )
      | ( ( way @ X4 @ mactual )
        = $false )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( ( ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( ( city @ X1 @ mactual )
        = $false )
      | ( ( chevy @ X6 @ mactual )
        = $false )
      | ( ( chevy @ X7 @ mactual )
        = $false )
      | ( ( dirty @ X7 @ mactual )
        = $false )
      | ( $false
        = ( street @ X4 @ mactual ) )
      | ( ( white @ X6 @ mactual )
        = $false )
      | ( $false
        = ( car @ X6 @ mactual ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f833]) ).

thf(f833,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( lonely @ X4 @ mactual )
        = $false )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( ( car @ X7 @ mactual )
        = $false )
      | ( $false
        = ( ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( ( way @ X4 @ mactual )
        = $false )
      | ( ( event @ X5 @ mactual )
        = $false )
      | ( ( white @ X7 @ mactual )
        = $false )
      | ( $false
        = ( ( dirty @ X6 @ mactual )
          & ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) ) )
      | ( ( chevy @ X6 @ mactual )
        = $false )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( ( white @ X6 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( ( city @ X2 @ mactual )
        = $false )
      | ( ( city @ X1 @ mactual )
        = $false )
      | ( ( hollywood @ X1 @ mactual )
        = $false )
      | ( $false
        = ( street @ X4 @ mactual ) )
      | ( ( chevy @ X7 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f832]) ).

thf(f832,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( event @ X5 @ mactual )
        = $false )
      | ( ( way @ X4 @ mactual )
        = $false )
      | ( $false
        = ( street @ X4 @ mactual ) )
      | ( ( city @ X1 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( ( chevy @ X7 @ mactual )
        = $false )
      | ( ( hollywood @ X1 @ mactual )
        = $false )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( ( chevy @ X6 @ mactual )
        = $false )
      | ( ( ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( ( white @ X6 @ mactual )
        = $false )
      | ( ( lonely @ X4 @ mactual )
        = $false )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( ( car @ X7 @ mactual )
        = $false )
      | ( $false
        = ( ( dirty @ X6 @ mactual )
          & ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) ) )
      | ( ( city @ X2 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f831]) ).

thf(f831,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( white @ X6 @ mactual )
        = $false )
      | ( ( ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( $false
        = ( street @ X4 @ mactual ) )
      | ( ( chevy @ X7 @ mactual )
        = $false )
      | ( ( hollywood @ X1 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( ( chevy @ X6 @ mactual )
        = $false )
      | ( ( city @ X1 @ mactual )
        = $false )
      | ( $false
        = ( ( dirty @ X6 @ mactual )
          & ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) ) )
      | ( ( event @ X5 @ mactual )
        = $false )
      | ( ( lonely @ X4 @ mactual )
        = $false )
      | ( ( way @ X4 @ mactual )
        = $false )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( ( city @ X2 @ mactual )
        = $false )
      | ( ( event @ X3 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f830]) ).

thf(f830,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( street @ X4 @ mactual ) )
      | ( ( chevy @ X7 @ mactual )
        = $false )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( $false
        = ( ( white @ X6 @ mactual )
          & ( dirty @ X6 @ mactual )
          & ( old @ X6 @ mactual )
          & ( street @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( barrel @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) ) )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( ( lonely @ X4 @ mactual )
        = $false )
      | ( ( city @ X1 @ mactual )
        = $false )
      | ( $false
        = ( car @ X6 @ mactual ) )
      | ( ( event @ X5 @ mactual )
        = $false )
      | ( ( city @ X2 @ mactual )
        = $false )
      | ( ( way @ X4 @ mactual )
        = $false )
      | ( ( ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( ( chevy @ X6 @ mactual )
        = $false )
      | ( ( hollywood @ X1 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f829]) ).

thf(f829,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( city @ X2 @ mactual )
        = $false )
      | ( ( chevy @ 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 @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( ( city @ X1 @ mactual )
        = $false )
      | ( $false
        = ( street @ X4 @ mactual ) )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( ( event @ X5 @ mactual )
        = $false )
      | ( ( chevy @ X7 @ mactual )
        = $false )
      | ( ( lonely @ X4 @ mactual )
        = $false )
      | ( ( way @ X4 @ mactual )
        = $false )
      | ( ( ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( ( hollywood @ X1 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f828]) ).

thf(f828,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( street @ X4 @ mactual ) )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( ( lonely @ X4 @ mactual )
        = $false )
      | ( ( way @ X4 @ mactual )
        = $false )
      | ( ( city @ X2 @ mactual )
        = $false )
      | ( ( hollywood @ X1 @ mactual )
        = $false )
      | ( ( ( 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 @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) )
        = $false )
      | ( ( ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( ( city @ X1 @ mactual )
        = $false )
      | ( ( chevy @ X7 @ mactual )
        = $false )
      | ( ( event @ X5 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f827]) ).

thf(f827,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( city @ X1 @ mactual )
        = $false )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( $false
        = ( street @ X4 @ mactual ) )
      | ( ( lonely @ X4 @ mactual )
        = $false )
      | ( $false
        = ( ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( ( event @ X5 @ mactual )
        = $false )
      | ( ( way @ X4 @ mactual )
        = $false )
      | ( ( ( 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 @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) )
        = $false )
      | ( ( city @ X2 @ mactual )
        = $false )
      | ( ( hollywood @ X1 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f826]) ).

thf(f826,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( ( event @ X5 @ 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 @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) )
        = $false )
      | ( ( city @ X1 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( $false
        = ( ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( $false
        = ( street @ X4 @ mactual ) )
      | ( ( lonely @ X4 @ mactual )
        = $false )
      | ( ( hollywood @ X1 @ mactual )
        = $false )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( ( way @ X4 @ mactual )
        = $false )
      | ( ( city @ X2 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f825]) ).

thf(f825,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( city @ X1 @ mactual )
        = $false )
      | ( ( city @ X2 @ mactual )
        = $false )
      | ( $false
        = ( ( lonely @ X4 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( ( ( event @ X5 @ 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 @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) )
        = $false )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( $false
        = ( street @ X4 @ mactual ) )
      | ( ( hollywood @ X1 @ mactual )
        = $false )
      | ( ( way @ X4 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f824]) ).

thf(f824,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( way @ X4 @ mactual )
        = $false )
      | ( ( ( city @ X1 @ mactual )
          & ( event @ X5 @ 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 @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) )
        = $false )
      | ( ( hollywood @ X1 @ mactual )
        = $false )
      | ( $false
        = ( street @ X4 @ mactual ) )
      | ( $false
        = ( ( lonely @ X4 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( ( city @ X2 @ mactual )
        = $false )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f823]) ).

thf(f823,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( street @ X4 @ mactual ) )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( ( ( way @ X4 @ mactual )
          & ( lonely @ X4 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( ( city @ X2 @ mactual )
        = $false )
      | ( ( ( city @ X1 @ mactual )
          & ( event @ X5 @ 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 @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) )
        = $false )
      | ( ( hollywood @ X1 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f822]) ).

thf(f822,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( hollywood @ X1 @ mactual )
        = $false )
      | ( ( ( street @ X4 @ mactual )
          & ( way @ X4 @ mactual )
          & ( lonely @ X4 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( ( city @ X2 @ mactual )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( ( ( city @ X1 @ mactual )
          & ( event @ X5 @ 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 @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f821]) ).

thf(f821,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( ( hollywood @ X1 @ mactual )
          & ( city @ X1 @ mactual )
          & ( event @ X5 @ 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 @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) ) )
      | ( ( event @ X3 @ mactual )
        = $false )
      | ( ( ( street @ X4 @ mactual )
          & ( way @ X4 @ mactual )
          & ( lonely @ X4 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( ( city @ X2 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f820]) ).

thf(f820,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( $false
        = ( ( event @ X3 @ mactual )
          & ( street @ X4 @ mactual )
          & ( way @ X4 @ mactual )
          & ( lonely @ X4 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) ) )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( $false
        = ( ( hollywood @ X1 @ mactual )
          & ( city @ X1 @ mactual )
          & ( event @ X5 @ 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 @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) ) )
      | ( ( city @ X2 @ mactual )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f819]) ).

thf(f819,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( ( city @ X2 @ mactual )
          & ( event @ X3 @ mactual )
          & ( street @ X4 @ mactual )
          & ( way @ X4 @ mactual )
          & ( lonely @ X4 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( $false
        = ( ( hollywood @ X1 @ mactual )
          & ( city @ X1 @ mactual )
          & ( event @ X5 @ 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 @ X5 @ X6 @ mactual )
          & ( down @ X5 @ X8 @ mactual )
          & ( in @ X5 @ X1 @ mactual ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f818]) ).

thf(f818,plain,
    ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( ( ( city @ X2 @ mactual )
          & ( event @ X3 @ mactual )
          & ( street @ X4 @ mactual )
          & ( way @ X4 @ mactual )
          & ( lonely @ X4 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( ( ^ [Y0: $i] :
              ( ( hollywood @ X1 @ mactual )
              & ( city @ X1 @ mactual )
              & ( event @ X5 @ 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 @ X5 @ X6 @ mactual )
              & ( down @ X5 @ Y0 @ mactual )
              & ( in @ X5 @ X1 @ mactual ) )
          @ X8 )
        = $false ) ),
    inference(pi_clausification,[status(thm)],[f817]) ).

thf(f817,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 @ X5 @ 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 @ X5 @ X6 @ mactual )
              & ( down @ X5 @ Y0 @ mactual )
              & ( in @ X5 @ X1 @ mactual ) ) ) )
      | ( ( hollywood @ X2 @ mactual )
        = $false )
      | ( ( ( city @ X2 @ mactual )
          & ( event @ X3 @ mactual )
          & ( street @ X4 @ mactual )
          & ( way @ X4 @ mactual )
          & ( lonely @ X4 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f816]) ).

thf(f816,plain,
    ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
      ( ( ( ( hollywood @ X2 @ mactual )
          & ( city @ X2 @ mactual )
          & ( event @ X3 @ mactual )
          & ( street @ X4 @ mactual )
          & ( way @ X4 @ mactual )
          & ( lonely @ X4 @ mactual )
          & ( chevy @ X7 @ mactual )
          & ( car @ X7 @ mactual )
          & ( white @ X7 @ mactual )
          & ( dirty @ X7 @ mactual )
          & ( old @ X7 @ mactual )
          & ( barrel @ X3 @ X7 @ mactual )
          & ( down @ X3 @ X4 @ mactual )
          & ( in @ X3 @ X2 @ mactual ) )
        = $false )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ X1 @ mactual )
              & ( city @ X1 @ mactual )
              & ( event @ X5 @ 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 @ X5 @ X6 @ mactual )
              & ( down @ X5 @ Y0 @ mactual )
              & ( in @ X5 @ X1 @ mactual ) ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f815]) ).

thf(f815,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 @ X5 @ 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 @ X5 @ X6 @ mactual )
              & ( down @ X5 @ Y0 @ mactual )
              & ( in @ X5 @ X1 @ mactual ) ) ) )
      | ( $false
        = ( ^ [Y0: $i] :
              ( ( hollywood @ X2 @ mactual )
              & ( city @ X2 @ mactual )
              & ( event @ X3 @ mactual )
              & ( street @ X4 @ mactual )
              & ( way @ X4 @ mactual )
              & ( lonely @ X4 @ mactual )
              & ( chevy @ Y0 @ mactual )
              & ( car @ Y0 @ mactual )
              & ( white @ Y0 @ mactual )
              & ( dirty @ Y0 @ mactual )
              & ( old @ Y0 @ mactual )
              & ( barrel @ X3 @ Y0 @ mactual )
              & ( down @ X3 @ X4 @ mactual )
              & ( in @ X3 @ X2 @ mactual ) )
          @ X7 ) ) ),
    inference(pi_clausification,[status(thm)],[f814]) ).

thf(f814,plain,
    ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
      ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ X2 @ mactual )
              & ( city @ X2 @ mactual )
              & ( event @ X3 @ mactual )
              & ( street @ X4 @ mactual )
              & ( way @ X4 @ mactual )
              & ( lonely @ X4 @ mactual )
              & ( chevy @ Y0 @ mactual )
              & ( car @ Y0 @ mactual )
              & ( white @ Y0 @ mactual )
              & ( dirty @ Y0 @ mactual )
              & ( old @ Y0 @ mactual )
              & ( barrel @ X3 @ Y0 @ mactual )
              & ( down @ X3 @ X4 @ mactual )
              & ( in @ X3 @ X2 @ mactual ) ) )
        = $false )
      | ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ X1 @ mactual )
              & ( city @ X1 @ mactual )
              & ( event @ X5 @ 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 @ X5 @ X6 @ mactual )
              & ( down @ X5 @ Y0 @ mactual )
              & ( in @ X5 @ X1 @ mactual ) ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f813]) ).

thf(f813,plain,
    ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
      ( ( ( ^ [Y0: $i] :
              ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( hollywood @ X1 @ mactual )
                  & ( city @ X1 @ mactual )
                  & ( event @ X5 @ 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 @ X5 @ Y0 @ mactual )
                  & ( down @ X5 @ Y1 @ mactual )
                  & ( in @ X5 @ X1 @ mactual ) ) )
          @ X6 )
        = $false )
      | ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ X2 @ mactual )
              & ( city @ X2 @ mactual )
              & ( event @ X3 @ mactual )
              & ( street @ X4 @ mactual )
              & ( way @ X4 @ mactual )
              & ( lonely @ X4 @ mactual )
              & ( chevy @ Y0 @ mactual )
              & ( car @ Y0 @ mactual )
              & ( white @ Y0 @ mactual )
              & ( dirty @ Y0 @ mactual )
              & ( old @ Y0 @ mactual )
              & ( barrel @ X3 @ Y0 @ mactual )
              & ( down @ X3 @ X4 @ mactual )
              & ( in @ X3 @ X2 @ mactual ) ) )
        = $false ) ),
    inference(pi_clausification,[status(thm)],[f812]) ).

thf(f812,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
      ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( hollywood @ X1 @ mactual )
                  & ( city @ X1 @ mactual )
                  & ( event @ X5 @ 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 @ X5 @ Y0 @ mactual )
                  & ( down @ X5 @ Y1 @ mactual )
                  & ( in @ X5 @ X1 @ mactual ) ) ) )
        = $false )
      | ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ X2 @ mactual )
              & ( city @ X2 @ mactual )
              & ( event @ X3 @ mactual )
              & ( street @ X4 @ mactual )
              & ( way @ X4 @ mactual )
              & ( lonely @ X4 @ mactual )
              & ( chevy @ Y0 @ mactual )
              & ( car @ Y0 @ mactual )
              & ( white @ Y0 @ mactual )
              & ( dirty @ Y0 @ mactual )
              & ( old @ Y0 @ mactual )
              & ( barrel @ X3 @ Y0 @ mactual )
              & ( down @ X3 @ X4 @ mactual )
              & ( in @ X3 @ X2 @ mactual ) ) )
        = $false ) ),
    inference(beta_eta_normalization,[status(thm)],[f811]) ).

thf(f811,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
      ( ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ X2 @ mactual )
              & ( city @ X2 @ mactual )
              & ( event @ X3 @ mactual )
              & ( street @ X4 @ mactual )
              & ( way @ X4 @ mactual )
              & ( lonely @ X4 @ mactual )
              & ( chevy @ Y0 @ mactual )
              & ( car @ Y0 @ mactual )
              & ( white @ Y0 @ mactual )
              & ( dirty @ Y0 @ mactual )
              & ( old @ Y0 @ mactual )
              & ( barrel @ X3 @ Y0 @ mactual )
              & ( down @ X3 @ X4 @ mactual )
              & ( in @ X3 @ 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 ) ) ) )
          @ X5 )
        = $false ) ),
    inference(pi_clausification,[status(thm)],[f810]) ).

thf(f810,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ( ( ?? @ $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 ) ) ) ) )
        = $false )
      | ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( hollywood @ X2 @ mactual )
              & ( city @ X2 @ mactual )
              & ( event @ X3 @ mactual )
              & ( street @ X4 @ mactual )
              & ( way @ X4 @ mactual )
              & ( lonely @ X4 @ mactual )
              & ( chevy @ Y0 @ mactual )
              & ( car @ Y0 @ mactual )
              & ( white @ Y0 @ mactual )
              & ( dirty @ Y0 @ mactual )
              & ( old @ Y0 @ mactual )
              & ( barrel @ X3 @ Y0 @ mactual )
              & ( down @ X3 @ X4 @ mactual )
              & ( in @ X3 @ X2 @ mactual ) ) )
        = $false ) ),
    inference(beta_eta_normalization,[status(thm)],[f809]) ).

thf(f809,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ( ( ?? @ $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 ) ) ) ) )
        = $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 ) ) )
          @ X4 )
        = $false ) ),
    inference(pi_clausification,[status(thm)],[f808]) ).

thf(f808,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( ( ?? @ $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 ) ) ) )
        = $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 ) ) ) ) )
        = $false ) ),
    inference(beta_eta_normalization,[status(thm)],[f807]) ).

thf(f807,plain,
    ! [X2: $i,X3: $i,X1: $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 ) ) ) )
          @ X3 )
        = $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 ) ) ) ) )
        = $false ) ),
    inference(pi_clausification,[status(thm)],[f806]) ).

thf(f806,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 ) ) ) ) ) )
      | ( ( ?? @ $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 ) ) ) ) )
        = $false ) ),
    inference(beta_eta_normalization,[status(thm)],[f805]) ).

thf(f805,plain,
    ! [X2: $i,X1: $i] :
      ( ( $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 ) ) ) ) )
          @ X2 ) )
      | ( ( ?? @ $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 ) ) ) ) )
        = $false ) ),
    inference(pi_clausification,[status(thm)],[f642]) ).

thf(f642,plain,
    ! [X1: $i] :
      ( ( ( ?? @ $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 ) ) ) ) ) )
        = $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 ) ) ) ) )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f641]) ).

thf(f641,plain,
    ! [X1: $i] :
      ( ( ( ( ?? @ $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 ) ) ) ) ) )
         => ( ?? @ $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 ) ) ) ) ) ) )
        = $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 ) ) ) ) )
        = $false ) ),
    inference(beta_eta_normalization,[status(thm)],[f640]) ).

thf(f640,plain,
    ! [X1: $i] :
      ( ( ( ( ?? @ $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 ) ) ) ) ) )
         => ( ?? @ $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 ) ) ) ) ) ) )
        = $false )
      | ( $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 ) ) ) ) )
          @ X1 ) ) ),
    inference(pi_clausification,[status(thm)],[f56]) ).

thf(f56,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 ) ) ) ) ) )
      = $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 ) ) ) ) ) )
       => ( ?? @ $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 ) ) ) ) ) ) )
      = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f55]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NLP001^3 : TPTP v9.2.1. Released v8.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.34  % Computer : n031.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 10:44:18 EST 2026
% 0.16/0.34  % CPUTime  : 
% 0.16/0.35  Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.34/0.48  ---- Original DTF file ---
% 0.34/0.49  thf(spec,logic,$$dhol).
% 0.34/0.49  %------------------------------------------------------------------------------
% 0.34/0.49  % File     : NLP001^3 : TPTP v9.2.1. Released v8.1.0.
% 0.34/0.49  % Domain   : Natural Language Processing
% 0.34/0.49  % Problem  : "The old dirty white Chevy" problem
% 0.34/0.49  % Version  : [BP13] axioms.
% 0.34/0.49  % English  : 
% 0.34/0.49  
% 0.34/0.49  % Refs     : [RO12]  Raths & Otten (2012), The QMLTP Problem Library for Fi
% 0.34/0.49  %          : [BP13]  Benzmueller & Paulson (2013), Quantified Multimodal Lo
% 0.34/0.49  %          : [Ste22] Steen (2022), An Extensible Logic Embedding Tool for L
% 0.34/0.49  % Source   : [TPTP]
% 0.34/0.49  % Names    : NLP001+1 [QMLTP]
% 0.34/0.49  
% 0.34/0.49  % Status   : Theorem 
% 0.34/0.49  % Rating   : 0.11 v9.1.0, 0.12 v9.0.0, 0.20 v8.2.0, 0.31 v8.1.0
% 0.34/0.49  % Syntax   : Number of formulae    :   39 (  11 unt;  27 typ;  10 def)
% 0.34/0.49  %            Number of atoms       :  151 (  10 equ;   0 cnn)
% 0.34/0.49  %            Maximal formula atoms :  128 (  12 avg)
% 0.34/0.49  %            Number of connectives :  224 (   1   ~;   1   |;   2   &; 217   @)
% 0.34/0.49  %                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
% 0.34/0.49  %            Maximal formula depth :   30 (   4 avg)
% 0.34/0.49  %            Number of types       :    3 (   1 usr)
% 0.34/0.49  %            Number of type conns  :   88 (  88   >;   0   *;   0   +;   0  <<)
% 0.34/0.49  %            Number of symbols     :   27 (  26 usr;   1 con; 0-3 aty)
% 0.34/0.49  %            Number of variables   :   45 (  39   ^;   3   !;   3   ?;  45   :)
% 0.34/0.49  % SPC      : TH0_THM_EQU_NAR
% 0.34/0.49  
% 0.34/0.49  % Comments : This output was generated by embedproblem, version 1.7.1 (library
% 0.34/0.49  %            version 1.3). Generated on Thu Apr 28 13:18:18 EDT 2022 using
% 0.34/0.49  %            'modal' embedding, version 1.5.2. Logic specification used:
% 0.34/0.49  %            $modal == [$constants == $rigid,$quantification == $constant,
% 0.34/0.49  %            $modalities == $modal_system_D].
% 0.34/0.49  %------------------------------------------------------------------------------
% 0.34/0.49  thf(mworld,type,
% 0.34/0.49      mworld: $tType ).
% 0.34/0.49  
% 0.34/0.49  thf(mrel_type,type,
% 0.34/0.49      mrel: mworld > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(mactual_type,type,
% 0.34/0.49      mactual: mworld ).
% 0.34/0.49  
% 0.34/0.49  thf(mlocal_type,type,
% 0.34/0.49      mlocal: ( mworld > $o ) > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(mlocal_def,definition,
% 0.34/0.49      ( mlocal
% 0.34/0.49      = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 0.34/0.49  
% 0.34/0.49  thf(mnot_type,type,
% 0.34/0.49      mnot: ( mworld > $o ) > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(mand_type,type,
% 0.34/0.49      mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(mor_type,type,
% 0.34/0.49      mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(mimplies_type,type,
% 0.34/0.49      mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(mequiv_type,type,
% 0.34/0.49      mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(mnot_def,definition,
% 0.34/0.49      ( mnot
% 0.34/0.49      = ( ^ [A: mworld > $o,W: mworld] :
% 0.34/0.49            ~ ( A @ W ) ) ) ).
% 0.34/0.49  
% 0.34/0.49  thf(mand_def,definition,
% 0.34/0.49      ( mand
% 0.34/0.49      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.34/0.49            ( ( A @ W )
% 0.34/0.49            & ( B @ W ) ) ) ) ).
% 0.34/0.49  
% 0.34/0.49  thf(mor_def,definition,
% 0.34/0.49      ( mor
% 0.34/0.49      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.34/0.49            ( ( A @ W )
% 0.34/0.49            | ( B @ W ) ) ) ) ).
% 0.34/0.49  
% 0.34/0.49  thf(mimplies_def,definition,
% 0.34/0.49      ( mimplies
% 0.34/0.49      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.34/0.49            ( ( A @ W )
% 0.34/0.49           => ( B @ W ) ) ) ) ).
% 0.34/0.49  
% 0.34/0.49  thf(mequiv_def,definition,
% 0.34/0.49      ( mequiv
% 0.34/0.49      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.34/0.49            ( ( A @ W )
% 0.34/0.49          <=> ( B @ W ) ) ) ) ).
% 0.34/0.49  
% 0.34/0.49  thf(mbox_type,type,
% 0.34/0.49      mbox: ( mworld > $o ) > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(mbox_def,definition,
% 0.34/0.49      ( mbox
% 0.34/0.49      = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.34/0.49          ! [V: mworld] :
% 0.34/0.49            ( ( mrel @ W @ V )
% 0.34/0.49           => ( Phi @ V ) ) ) ) ).
% 0.34/0.49  
% 0.34/0.49  thf(mdia_type,type,
% 0.34/0.49      mdia: ( mworld > $o ) > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(mdia_def,definition,
% 0.34/0.49      ( mdia
% 0.34/0.49      = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.34/0.49          ? [V: mworld] :
% 0.34/0.49            ( ( mrel @ W @ V )
% 0.34/0.49            & ( Phi @ V ) ) ) ) ).
% 0.34/0.49  
% 0.34/0.49  thf(mrel_serial,axiom,
% 0.34/0.49      ! [W: mworld] :
% 0.34/0.49      ? [V: mworld] : ( mrel @ W @ V ) ).
% 0.34/0.49  
% 0.34/0.49  thf(mforall_di_type,type,
% 0.34/0.49      mforall_di: ( $i > mworld > $o ) > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(mforall_di_def,definition,
% 0.34/0.49      ( mforall_di
% 0.34/0.49      = ( ^ [A: $i > mworld > $o,W: mworld] :
% 0.34/0.49          ! [X: $i] : ( A @ X @ W ) ) ) ).
% 0.34/0.49  
% 0.34/0.49  thf(mexists_di_type,type,
% 0.34/0.49      mexists_di: ( $i > mworld > $o ) > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(mexists_di_def,definition,
% 0.34/0.49      ( mexists_di
% 0.34/0.49      = ( ^ [A: $i > mworld > $o,W: mworld] :
% 0.34/0.49          ? [X: $i] : ( A @ X @ W ) ) ) ).
% 0.34/0.49  
% 0.34/0.49  thf(chevy_decl,type,
% 0.34/0.49      chevy: $i > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(dirty_decl,type,
% 0.34/0.49      dirty: $i > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(barrel_decl,type,
% 0.34/0.49      barrel: $i > $i > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(hollywood_decl,type,
% 0.34/0.49      hollywood: $i > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(city_decl,type,
% 0.34/0.49      city: $i > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(in_decl,type,
% 0.34/0.49      in: $i > $i > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(old_decl,type,
% 0.34/0.49      old: $i > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(down_decl,type,
% 0.34/0.49      down: $i > $i > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(way_decl,type,
% 0.34/0.49      way: $i > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(white_decl,type,
% 0.34/0.49      white: $i > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(car_decl,type,
% 0.34/0.49      car: $i > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(street_decl,type,
% 0.34/0.49      street: $i > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(event_decl,type,
% 0.34/0.49      event: $i > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(lonely_decl,type,
% 0.34/0.49      lonely: $i > mworld > $o ).
% 0.34/0.49  
% 0.34/0.49  thf(co1,conjecture,
% 0.34/0.49      ( mlocal
% 0.34/0.49      @ ( mand
% 0.34/0.49        @ ( mimplies
% 0.34/0.49          @ ( mexists_di
% 0.34/0.49            @ ^ [U: $i] :
% 0.34/0.49                ( mexists_di
% 0.34/0.49                @ ^ [V: $i] :
% 0.34/0.49                    ( mexists_di
% 0.34/0.49                    @ ^ [W: $i] :
% 0.34/0.49                        ( mexists_di
% 0.34/0.49                        @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.34/0.49          @ ( mexists_di
% 0.34/0.49            @ ^ [Y: $i] :
% 0.34/0.49                ( mexists_di
% 0.34/0.49                @ ^ [Z: $i] :
% 0.34/0.49                    ( mexists_di
% 0.34/0.49                    @ ^ [X1: $i] :
% 0.34/0.49                        ( mexists_di
% 0.34/0.49                        @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.34/0.49        @ ( mimplies
% 0.34/0.49          @ ( mexists_di
% 0.34/0.49            @ ^ [X3: $i] :
% 0.34/0.49                ( mexists_di
% 0.34/0.49                @ ^ [X4: $i] :
% 0.34/0.49                    ( mexists_di
% 0.34/0.49                    @ ^ [X5: $i] :
% 0.34/0.49                        ( mexists_di
% 0.34/0.49                        @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.34/0.49          @ ( mexists_di
% 0.34/0.49            @ ^ [X7: $i] :
% 0.34/0.49                ( mexists_di
% 0.34/0.49                @ ^ [X8: $i] :
% 0.34/0.49                    ( mexists_di
% 0.34/0.49                    @ ^ [X9: $i] :
% 0.34/0.49                        ( mexists_di
% 0.34/0.49                        @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.34/0.49  
% 0.34/0.49  %------------------------------------------------------------------------------
% 0.34/0.49  ------------------------
% 1.95/1.54  ---- Embedded in THF ---
% 1.95/1.54  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.95/1.54  %%% Generated on Tue Feb 24 10:44:19 EST 2026
% 1.95/1.54  %%% using '$$dhol' embedding, version 1.3.0.
% 1.95/1.54  %%% Logic specification used:
% 1.95/1.54  %%% thf(spec, logic, $$dhol).
% 1.95/1.54  
% 1.95/1.54  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.xdLXuHNyym/DTF2DTF5915.p
% See solution above
% 1.95/1.54  ------------------------
% 1.95/1.55  ---- Cleaned THF ---
% 1.95/1.55  thf(mworld,type,
% 1.95/1.55      mworld: $tType ).
% 1.95/1.55  
% 1.95/1.55  thf(mrel_type,type,
% 1.95/1.55      mrel: mworld > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(mactual_type,type,
% 1.95/1.55      mactual: mworld ).
% 1.95/1.55  
% 1.95/1.55  thf(mlocal_type,type,
% 1.95/1.55      mlocal: ( mworld > $o ) > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(mlocal_def,definition,
% 1.95/1.55      ( mlocal
% 1.95/1.55      = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 1.95/1.55  
% 1.95/1.55  thf(mnot_type,type,
% 1.95/1.55      mnot: ( mworld > $o ) > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(mand_type,type,
% 1.95/1.55      mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(mor_type,type,
% 1.95/1.55      mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(mimplies_type,type,
% 1.95/1.55      mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(mequiv_type,type,
% 1.95/1.55      mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(mnot_def,definition,
% 1.95/1.55      ( mnot
% 1.95/1.55      = ( ^ [A: mworld > $o,W: mworld] :
% 1.95/1.55            ~ ( A @ W ) ) ) ).
% 1.95/1.55  
% 1.95/1.55  thf(mand_def,definition,
% 1.95/1.55      ( mand
% 1.95/1.55      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 1.95/1.55            ( ( A @ W )
% 1.95/1.55            & ( B @ W ) ) ) ) ).
% 1.95/1.55  
% 1.95/1.55  thf(mor_def,definition,
% 1.95/1.55      ( mor
% 1.95/1.55      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 1.95/1.55            ( ( A @ W )
% 1.95/1.55            | ( B @ W ) ) ) ) ).
% 1.95/1.55  
% 1.95/1.55  thf(mimplies_def,definition,
% 1.95/1.55      ( mimplies
% 1.95/1.55      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 1.95/1.55            ( ( A @ W )
% 1.95/1.55           => ( B @ W ) ) ) ) ).
% 1.95/1.55  
% 1.95/1.55  thf(mequiv_def,definition,
% 1.95/1.55      ( mequiv
% 1.95/1.55      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 1.95/1.55            ( ( A @ W )
% 1.95/1.55          <=> ( B @ W ) ) ) ) ).
% 1.95/1.55  
% 1.95/1.55  thf(mbox_type,type,
% 1.95/1.55      mbox: ( mworld > $o ) > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(mbox_def,definition,
% 1.95/1.55      ( mbox
% 1.95/1.55      = ( ^ [Phi: mworld > $o,W: mworld] :
% 1.95/1.55          ! [V: mworld] :
% 1.95/1.55            ( ( mrel @ W @ V )
% 1.95/1.55           => ( Phi @ V ) ) ) ) ).
% 1.95/1.55  
% 1.95/1.55  thf(mdia_type,type,
% 1.95/1.55      mdia: ( mworld > $o ) > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(mdia_def,definition,
% 1.95/1.55      ( mdia
% 1.95/1.55      = ( ^ [Phi: mworld > $o,W: mworld] :
% 1.95/1.55          ? [V: mworld] :
% 1.95/1.55            ( ( mrel @ W @ V )
% 1.95/1.55            & ( Phi @ V ) ) ) ) ).
% 1.95/1.55  
% 1.95/1.55  thf(mrel_serial,axiom,
% 1.95/1.55      ! [W: mworld] :
% 1.95/1.55      ? [V: mworld] : ( mrel @ W @ V ) ).
% 1.95/1.55  
% 1.95/1.55  thf(mforall_di_type,type,
% 1.95/1.55      mforall_di: ( $i > mworld > $o ) > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(mforall_di_def,definition,
% 1.95/1.55      ( mforall_di
% 1.95/1.55      = ( ^ [A: $i > mworld > $o,W: mworld] :
% 1.95/1.55          ! [X: $i] : ( A @ X @ W ) ) ) ).
% 1.95/1.55  
% 1.95/1.55  thf(mexists_di_type,type,
% 1.95/1.55      mexists_di: ( $i > mworld > $o ) > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(mexists_di_def,definition,
% 1.95/1.55      ( mexists_di
% 1.95/1.55      = ( ^ [A: $i > mworld > $o,W: mworld] :
% 1.95/1.55          ? [X: $i] : ( A @ X @ W ) ) ) ).
% 1.95/1.55  
% 1.95/1.55  thf(chevy_decl,type,
% 1.95/1.55      chevy: $i > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(dirty_decl,type,
% 1.95/1.55      dirty: $i > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(barrel_decl,type,
% 1.95/1.55      barrel: $i > $i > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(hollywood_decl,type,
% 1.95/1.55      hollywood: $i > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(city_decl,type,
% 1.95/1.55      city: $i > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(in_decl,type,
% 1.95/1.55      in: $i > $i > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(old_decl,type,
% 1.95/1.55      old: $i > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(down_decl,type,
% 1.95/1.55      down: $i > $i > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(way_decl,type,
% 1.95/1.55      way: $i > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(white_decl,type,
% 1.95/1.55      white: $i > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(car_decl,type,
% 1.95/1.55      car: $i > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(street_decl,type,
% 1.95/1.55      street: $i > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(event_decl,type,
% 1.95/1.55      event: $i > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(lonely_decl,type,
% 1.95/1.55      lonely: $i > mworld > $o ).
% 1.95/1.55  
% 1.95/1.55  thf(co1,conjecture,
% 1.95/1.55      ( mlocal
% 1.95/1.55      @ ( mand
% 1.95/1.55        @ ( mimplies
% 1.95/1.55          @ ( mexists_di
% 1.95/1.55            @ ^ [U: $i] :
% 1.95/1.55                ( mexists_di
% 1.95/1.55                @ ^ [V: $i] :
% 1.95/1.55                    ( mexists_di
% 1.95/1.55                    @ ^ [W: $i] :
% 1.95/1.55                        ( mexists_di
% 1.95/1.55                        @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 1.95/1.55          @ ( mexists_di
% 1.95/1.55            @ ^ [Y: $i] :
% 1.95/1.55                ( mexists_di
% 1.95/1.55                @ ^ [Z: $i] :
% 1.95/1.55                    ( mexists_di
% 1.95/1.55                    @ ^ [X1: $i] :
% 1.95/1.55                        ( mexists_di
% 1.95/1.55                        @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 1.95/1.55        @ ( mimplies
% 1.95/1.55          @ ( mexists_di
% 1.95/1.55            @ ^ [X3: $i] :
% 1.95/1.55                ( mexists_di
% 1.95/1.55                @ ^ [X4: $i] :
% 1.95/1.55                    ( mexists_di
% 1.95/1.55                    @ ^ [X5: $i] :
% 1.95/1.55                        ( mexists_di
% 1.95/1.55                        @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 1.95/1.55          @ ( mexists_di
% 1.95/1.55            @ ^ [X7: $i] :
% 1.95/1.55                ( mexists_di
% 1.95/1.55                @ ^ [X8: $i] :
% 1.95/1.55                    ( mexists_di
% 1.95/1.55                    @ ^ [X9: $i] :
% 1.95/1.55                        ( mexists_di
% 1.95/1.55                        @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 1.95/1.55  ------------------------
% 1.95/1.57  % (6012)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_5915 for (2999ds/183Mi)
% 1.95/1.57  % (6013)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_5915 for (2999ds/4Mi)
% 1.95/1.57  % (6014)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_5915 for (2999ds/27Mi)
% 1.95/1.57  % (6015)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_5915 for (2999ds/2Mi)
% 1.95/1.57  % (6016)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_5915 for (2999ds/2Mi)
% 1.95/1.58  % (6018)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_5915 for (2999ds/18Mi)
% 1.95/1.58  % (6017)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_5915 for (2999ds/275Mi)
% 1.95/1.58  % (6015)Instruction limit reached!
% 1.95/1.58  % (6015)------------------------------
% 1.95/1.58  % (6015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.58  % (6015)Termination reason: Unknown
% 1.95/1.58  % (6015)Termination phase: shuffling
% 1.95/1.58  
% 1.95/1.58  % (6016)Instruction limit reached!
% 1.95/1.58  % (6016)------------------------------
% 1.95/1.58  % (6016)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.58  % (6016)Termination reason: Unknown
% 1.95/1.58  % (6016)Termination phase: shuffling
% 1.95/1.58  
% 1.95/1.58  % (6016)Memory used [KB]: 1023
% 1.95/1.58  % (6016)Time elapsed: 0.003 s
% 1.95/1.58  % (6016)Instructions burned: 4 (million)
% 1.95/1.58  % (6016)------------------------------
% 1.95/1.58  % (6016)------------------------------
% 1.95/1.58  % (6015)Memory used [KB]: 1023
% 1.95/1.58  % (6015)Time elapsed: 0.003 s
% 1.95/1.58  % (6015)Instructions burned: 4 (million)
% 1.95/1.58  % (6015)------------------------------
% 1.95/1.58  % (6015)------------------------------
% 1.95/1.58  % (6013)Instruction limit reached!
% 1.95/1.58  % (6013)------------------------------
% 1.95/1.58  % (6013)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.58  % (6013)Termination reason: Unknown
% 1.95/1.58  % (6013)Termination phase: Property scanning
% 1.95/1.58  
% 1.95/1.58  % (6013)Memory used [KB]: 1023
% 1.95/1.58  % (6013)Time elapsed: 0.004 s
% 1.95/1.58  % (6013)Instructions burned: 6 (million)
% 1.95/1.58  % (6013)------------------------------
% 1.95/1.58  % (6013)------------------------------
% 1.95/1.58  % (6018)Instruction limit reached!
% 1.95/1.58  % (6018)------------------------------
% 1.95/1.58  % (6018)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.58  % (6018)Termination reason: Unknown
% 1.95/1.58  % (6018)Termination phase: Saturation
% 1.95/1.58  
% 1.95/1.58  % (6018)Memory used [KB]: 5628
% 1.95/1.58  % (6018)Time elapsed: 0.009 s
% 1.95/1.58  % (6018)Instructions burned: 18 (million)
% 1.95/1.58  % (6018)------------------------------
% 1.95/1.58  % (6018)------------------------------
% 1.95/1.59  % (6014)Instruction limit reached!
% 1.95/1.59  % (6014)------------------------------
% 1.95/1.59  % (6014)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.59  % (6014)Termination reason: Unknown
% 1.95/1.59  % (6014)Termination phase: Saturation
% 1.95/1.59  
% 1.95/1.59  % (6014)Memory used [KB]: 5628
% 1.95/1.59  % (6014)Time elapsed: 0.013 s
% 1.95/1.59  % (6014)Instructions burned: 27 (million)
% 1.95/1.59  % (6014)------------------------------
% 1.95/1.59  % (6014)------------------------------
% 1.95/1.59  % (6017)Refutation not found, incomplete strategy
% 1.95/1.59  % (6017)------------------------------
% 1.95/1.59  % (6017)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.59  % (6017)Termination reason: Refutation not found, incomplete strategy
% 1.95/1.59  
% 1.95/1.59  
% 1.95/1.59  % (6017)Memory used [KB]: 5628
% 1.95/1.59  % (6017)Time elapsed: 0.013 s
% 1.95/1.59  % (6017)Instructions burned: 28 (million)
% 1.95/1.59  % (6017)------------------------------
% 1.95/1.59  % (6017)------------------------------
% 1.95/1.59  % (6019)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_5915 for (2999ds/3Mi)
% 1.95/1.59  % (6020)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_5915 for (2999ds/37Mi)
% 1.95/1.59  % (6021)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_5915 for (2999ds/15Mi)
% 1.95/1.59  % (6019)Instruction limit reached!
% 1.95/1.59  % (6019)------------------------------
% 1.95/1.59  % (6019)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.95/1.59  % (6019)Termination reason: Unknown
% 1.95/1.59  % (6019)Termination phase: shuffling
% 1.95/1.59  
% 1.95/1.59  % (6019)Memory used [KB]: 1023
% 1.95/1.59  % (6019)Time elapsed: 0.003 s
% 1.95/1.59  % (6019)Instructions burned: 4 (million)
% 1.95/1.59  % (6019)------------------------------
% 1.95/1.59  % (6019)------------------------------
% 2.05/1.60  % (6022)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_5915 for (2999ds/3Mi)
% 2.05/1.60  % (6021)Instruction limit reached!
% 2.05/1.60  % (6021)------------------------------
% 2.05/1.60  % (6021)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.60  % (6021)Termination reason: Unknown
% 2.05/1.60  % (6021)Termination phase: Saturation
% 2.05/1.60  
% 2.05/1.60  % (6021)Memory used [KB]: 5628
% 2.05/1.60  % (6021)Time elapsed: 0.008 s
% 2.05/1.60  % (6021)Instructions burned: 16 (million)
% 2.05/1.60  % (6021)------------------------------
% 2.05/1.60  % (6021)------------------------------
% 2.05/1.60  % (6022)Instruction limit reached!
% 2.05/1.60  % (6022)------------------------------
% 2.05/1.60  % (6022)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.60  % (6022)Termination reason: Unknown
% 2.05/1.60  % (6022)Termination phase: shuffling
% 2.05/1.60  
% 2.05/1.60  % (6022)Memory used [KB]: 1023
% 2.05/1.60  % (6022)Time elapsed: 0.003 s
% 2.05/1.60  % (6022)Instructions burned: 3 (million)
% 2.05/1.60  % (6022)------------------------------
% 2.05/1.60  % (6022)------------------------------
% 2.05/1.60  % (6023)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_5915 for (2999ds/1041Mi)
% 2.05/1.60  % (6024)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_5915 for (2999ds/7Mi)
% 2.05/1.61  % (6024)Instruction limit reached!
% 2.05/1.61  % (6024)------------------------------
% 2.05/1.61  % (6024)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.61  % (6024)Termination reason: Unknown
% 2.05/1.61  % (6024)Termination phase: Preprocessing 3
% 2.05/1.61  
% 2.05/1.61  % (6024)Memory used [KB]: 1023
% 2.05/1.61  % (6024)Time elapsed: 0.004 s
% 2.05/1.61  % (6024)Instructions burned: 7 (million)
% 2.05/1.61  % (6024)------------------------------
% 2.05/1.61  % (6024)------------------------------
% 2.05/1.61  % (6020)Instruction limit reached!
% 2.05/1.61  % (6020)------------------------------
% 2.05/1.61  % (6020)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.61  % (6020)Termination reason: Unknown
% 2.05/1.61  % (6020)Termination phase: Saturation
% 2.05/1.61  
% 2.05/1.61  % (6020)Memory used [KB]: 5756
% 2.05/1.61  % (6020)Time elapsed: 0.017 s
% 2.05/1.61  % (6020)Instructions burned: 37 (million)
% 2.05/1.61  % (6020)------------------------------
% 2.05/1.61  % (6020)------------------------------
% 2.05/1.61  % (6025)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_5915 for (2999ds/16Mi)
% 2.05/1.62  % (6026)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_5915 for (2999ds/3Mi)
% 2.05/1.62  % (6027)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_5915 for (2999ds/3Mi)
% 2.05/1.62  % (6026)Instruction limit reached!
% 2.05/1.62  % (6026)------------------------------
% 2.05/1.62  % (6026)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.62  % (6026)Termination reason: Unknown
% 2.05/1.62  % (6026)Termination phase: shuffling
% 2.05/1.62  
% 2.05/1.62  % (6026)Memory used [KB]: 1023
% 2.05/1.62  % (6026)Time elapsed: 0.003 s
% 2.05/1.62  % (6026)Instructions burned: 4 (million)
% 2.05/1.62  % (6026)------------------------------
% 2.05/1.62  % (6026)------------------------------
% 2.05/1.62  % (6025)Instruction limit reached!
% 2.05/1.62  % (6025)------------------------------
% 2.05/1.62  % (6025)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.62  % (6025)Termination reason: Unknown
% 2.05/1.62  % (6025)Termination phase: Saturation
% 2.05/1.62  
% 2.05/1.62  % (6025)Memory used [KB]: 5884
% 2.05/1.62  % (6027)Instruction limit reached!
% 2.05/1.62  % (6027)------------------------------
% 2.05/1.62  % (6027)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.62  % (6025)Time elapsed: 0.009 s
% 2.05/1.62  % (6025)Instructions burned: 16 (million)
% 2.05/1.62  % (6025)------------------------------
% 2.05/1.62  % (6025)------------------------------
% 2.05/1.62  % (6027)Termination reason: Unknown
% 2.05/1.62  % (6027)Termination phase: shuffling
% 2.05/1.62  
% 2.05/1.62  % (6027)Memory used [KB]: 1023
% 2.05/1.62  % (6027)Time elapsed: 0.003 s
% 2.05/1.62  % (6027)Instructions burned: 4 (million)
% 2.05/1.62  % (6027)------------------------------
% 2.05/1.62  % (6027)------------------------------
% 2.05/1.62  % (6028)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_5915 for (2999ds/7Mi)
% 2.05/1.62  % (6029)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_5915 for (2999ds/3Mi)
% 2.05/1.63  % (6029)Instruction limit reached!
% 2.05/1.63  % (6029)------------------------------
% 2.05/1.63  % (6029)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.63  % (6029)Termination reason: Unknown
% 2.05/1.63  % (6029)Termination phase: Property scanning
% 2.05/1.63  
% 2.05/1.63  % (6028)Instruction limit reached!
% 2.05/1.63  % (6028)------------------------------
% 2.05/1.63  % (6028)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.63  % (6028)Termination reason: Unknown
% 2.05/1.63  % (6028)Termination phase: Property scanning
% 2.05/1.63  
% 2.05/1.63  % (6028)Memory used [KB]: 1023
% 2.05/1.63  % (6028)Time elapsed: 0.005 s
% 2.05/1.63  % (6028)Instructions burned: 9 (million)
% 2.05/1.63  % (6028)------------------------------
% 2.05/1.63  % (6028)------------------------------
% 2.05/1.63  % (6029)Memory used [KB]: 1023
% 2.05/1.63  % (6029)Time elapsed: 0.003 s
% 2.05/1.63  % (6029)Instructions burned: 4 (million)
% 2.05/1.63  % (6029)------------------------------
% 2.05/1.63  % (6029)------------------------------
% 2.05/1.63  % (6030)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_5915 for (2999ds/4Mi)
% 2.05/1.63  % (6031)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_5915 for (2999ds/18Mi)
% 2.05/1.63  % (6032)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_5915 for (2999ds/710Mi)
% 2.05/1.63  % (6030)Instruction limit reached!
% 2.05/1.63  % (6030)------------------------------
% 2.05/1.63  % (6030)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.63  % (6030)Termination reason: Unknown
% 2.05/1.63  % (6030)Termination phase: shuffling
% 2.05/1.63  
% 2.05/1.63  % (6030)Memory used [KB]: 1023
% 2.05/1.63  % (6030)Time elapsed: 0.003 s
% 2.05/1.63  % (6030)Instructions burned: 4 (million)
% 2.05/1.63  % (6030)------------------------------
% 2.05/1.63  % (6030)------------------------------
% 2.05/1.64  % (6034)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_5915 for (2999ds/902Mi)
% 2.05/1.64  % (6033)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_5915 for (2999ds/6Mi)
% 2.05/1.64  % (6031)Instruction limit reached!
% 2.05/1.64  % (6031)------------------------------
% 2.05/1.64  % (6031)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.64  % (6031)Termination reason: Unknown
% 2.05/1.64  % (6031)Termination phase: Saturation
% 2.05/1.64  
% 2.05/1.64  % (6031)Memory used [KB]: 5628
% 2.05/1.64  % (6031)Time elapsed: 0.010 s
% 2.05/1.64  % (6031)Instructions burned: 19 (million)
% 2.05/1.64  % (6031)------------------------------
% 2.05/1.64  % (6031)------------------------------
% 2.05/1.64  % (6033)Instruction limit reached!
% 2.05/1.64  % (6033)------------------------------
% 2.05/1.64  % (6033)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.64  % (6033)Termination reason: Unknown
% 2.05/1.64  % (6033)Termination phase: Property scanning
% 2.05/1.64  
% 2.05/1.64  % (6033)Memory used [KB]: 1023
% 2.05/1.64  % (6033)Time elapsed: 0.004 s
% 2.05/1.64  % (6033)Instructions burned: 6 (million)
% 2.05/1.64  % (6033)------------------------------
% 2.05/1.64  % (6033)------------------------------
% 2.05/1.65  % (6034)Refutation not found, incomplete strategy
% 2.05/1.65  % (6034)------------------------------
% 2.05/1.65  % (6034)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.65  % (6034)Termination reason: Refutation not found, incomplete strategy
% 2.05/1.65  
% 2.05/1.65  
% 2.05/1.65  % (6034)Memory used [KB]: 5500
% 2.05/1.65  % (6034)Time elapsed: 0.005 s
% 2.05/1.65  % (6034)Instructions burned: 8 (million)
% 2.05/1.65  % (6034)------------------------------
% 2.05/1.65  % (6034)------------------------------
% 2.05/1.65  % (6035)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_5915 for (2999ds/21Mi)
% 2.05/1.66  % (6012)First to succeed.
% 2.05/1.66  % (6036)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_5915 for (2999ds/5Mi)
% 2.05/1.66  % (6035)Instruction limit reached!
% 2.05/1.66  % (6035)------------------------------
% 2.05/1.66  % (6035)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.66  % (6037)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_5915 for (2999ds/6Mi)
% 2.05/1.66  % (6035)Termination reason: Unknown
% 2.05/1.66  % (6035)Termination phase: Saturation
% 2.05/1.66  
% 2.05/1.66  % (6035)Memory used [KB]: 5628
% 2.05/1.66  % (6035)Time elapsed: 0.011 s
% 2.05/1.66  % (6035)Instructions burned: 23 (million)
% 2.05/1.66  % (6035)------------------------------
% 2.05/1.66  % (6035)------------------------------
% 2.05/1.66  % (6036)Instruction limit reached!
% 2.05/1.66  % (6036)------------------------------
% 2.05/1.66  % (6036)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.66  % (6036)Termination reason: Unknown
% 2.05/1.66  % (6036)Termination phase: Property scanning
% 2.05/1.66  
% 2.05/1.66  % (6036)Memory used [KB]: 1023
% 2.05/1.66  % (6036)Time elapsed: 0.004 s
% 2.05/1.66  % (6036)Instructions burned: 6 (million)
% 2.05/1.66  % (6036)------------------------------
% 2.05/1.66  % (6036)------------------------------
% 2.05/1.66  % (6038)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_5915 for (2999ds/377Mi)
% 2.05/1.66  % (6037)Instruction limit reached!
% 2.05/1.66  % (6037)------------------------------
% 2.05/1.66  % (6037)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.66  % (6037)Termination reason: Unknown
% 2.05/1.66  % (6037)Termination phase: Property scanning
% 2.05/1.66  
% 2.05/1.66  % (6037)Memory used [KB]: 1023
% 2.05/1.66  % (6037)Time elapsed: 0.004 s
% 2.05/1.66  % (6037)Instructions burned: 6 (million)
% 2.05/1.66  % (6037)------------------------------
% 2.05/1.66  % (6037)------------------------------
% 2.05/1.68  % (6039)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_5915 for (2998ds/779Mi)
% 2.05/1.68  % (6040)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_5915 for (2998ds/19Mi)
% 2.05/1.68  % (6041)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_5915 for (2998ds/879Mi)
% 2.05/1.69  % (6040)Instruction limit reached!
% 2.05/1.69  % (6040)------------------------------
% 2.05/1.69  % (6040)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.69  % (6040)Termination reason: Unknown
% 2.05/1.69  % (6040)Termination phase: Saturation
% 2.05/1.69  
% 2.05/1.69  % (6040)Memory used [KB]: 5628
% 2.05/1.69  % (6040)Time elapsed: 0.010 s
% 2.05/1.69  % (6040)Instructions burned: 21 (million)
% 2.05/1.69  % (6040)------------------------------
% 2.05/1.69  % (6040)------------------------------
% 2.05/1.69  % (6012)Refutation found. Thanks to Tanya!
% 2.05/1.69  % SZS status Theorem for DTF2THF_5915
% 2.05/1.69  % SZS output start Proof for DTF2THF_5915
% 2.05/1.69  thf(type_def_5, type, mworld: $tType).
% 2.05/1.69  thf(func_def_0, type, mworld: $tType).
% 2.05/1.69  thf(func_def_1, type, mrel: mworld > mworld > $o).
% 2.05/1.69  thf(func_def_2, type, mactual: mworld).
% 2.05/1.69  thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 2.05/1.69  thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 2.05/1.69  thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 2.05/1.69  thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 2.05/1.69  thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 2.05/1.69  thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 2.05/1.69  thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 2.05/1.69  thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 2.05/1.69  thf(func_def_12, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 2.05/1.69  thf(func_def_13, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 2.05/1.69  thf(func_def_14, type, chevy: $i > mworld > $o).
% 2.05/1.69  thf(func_def_15, type, dirty: $i > mworld > $o).
% 2.05/1.69  thf(func_def_16, type, barrel: $i > $i > mworld > $o).
% 2.05/1.69  thf(func_def_17, type, hollywood: $i > mworld > $o).
% 2.05/1.69  thf(func_def_18, type, city: $i > mworld > $o).
% 2.05/1.69  thf(func_def_19, type, in: $i > $i > mworld > $o).
% 2.05/1.69  thf(func_def_20, type, old: $i > mworld > $o).
% 2.05/1.69  thf(func_def_21, type, down: $i > $i > mworld > $o).
% 2.05/1.69  thf(func_def_22, type, way: $i > mworld > $o).
% 2.05/1.69  thf(func_def_23, type, white: $i > mworld > $o).
% 2.05/1.69  thf(func_def_24, type, car: $i > mworld > $o).
% 2.05/1.69  thf(func_def_25, type, street: $i > mworld > $o).
% 2.05/1.69  thf(func_def_26, type, event: $i > mworld > $o).
% 2.05/1.69  thf(func_def_27, type, lonely: $i > mworld > $o).
% 2.05/1.69  thf(func_def_42, type, sK0: mworld > mworld).
% 2.05/1.69  thf(f1703,plain,(
% 2.05/1.69    $false),
% 2.05/1.69    inference(avatar_sat_refutation,[status(thm)],[f848,f997,f1002,f1007,f1008,f1013,f1014,f1019,f1020,f1025,f1026,f1027,f1028,f1033,f1034,f1035,f1040,f1041,f1042,f1043,f1044,f1049,f1050,f1051,f1052,f1057,f1058,f1059,f1060,f1065,f1066,f1067,f1068,f1069,f1070,f1071,f1076,f1077,f1078,f1079,f1080,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1097,f1098,f1099,f1100,f1101,f1102,f1107,f1108,f1109,f1110,f1111,f1112,f1113,f1114,f1115,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1141,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1159,f1160,f1161,f1162,f1163,f1164,f1165,f1166,f1167,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f1222,f1223,f1224,f1229,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1283,f1284,f1289,f1294,f1299,f1304,f1309,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1396,f1402,f1404,f1411,f1438,f1444,f1451,f1458,f1466,f1497,f1503,f1510,f1516,f1523,f1531,f1540,f1544,f1551,f1566,f1573,f1579,f1585,f1591,f1599,f1606,f1612,f1618,f1626,f1669,f1675,f1681,f1687,f1696,f1702])).
% 2.05/1.69  thf(f1702,plain,(
% 2.05/1.69    ~spl1_59 | ~spl1_90),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1701])).
% 2.05/1.69  thf(f1701,plain,(
% 2.05/1.69    $false | (~spl1_59 | ~spl1_90)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1698])).
% 2.05/1.69  thf(f1698,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_59 | ~spl1_90)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1293,f1651])).
% 2.05/1.69  thf(f1651,plain,(
% 2.05/1.69    ((old @ sK9 @ mactual) = $false) | ~spl1_90),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1649])).
% 2.05/1.69  thf(f1649,definition,(
% 2.05/1.69    spl1_90 <=> ((old @ sK9 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_90])],[avatar_definition])).
% 2.05/1.69  thf(f1293,plain,(
% 2.05/1.69    ($true = (old @ sK9 @ mactual)) | ~spl1_59),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1291])).
% 2.05/1.69  thf(f1291,definition,(
% 2.05/1.69    spl1_59 <=> ($true = (old @ sK9 @ mactual))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_59])],[avatar_definition])).
% 2.05/1.69  thf(f1696,plain,(
% 2.05/1.69    ~spl1_60 | ~spl1_94),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1695])).
% 2.05/1.69  thf(f1695,plain,(
% 2.05/1.69    $false | (~spl1_60 | ~spl1_94)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1692])).
% 2.05/1.69  thf(f1692,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_60 | ~spl1_94)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1298,f1667])).
% 2.05/1.69  thf(f1667,plain,(
% 2.05/1.69    ($false = (dirty @ sK9 @ mactual)) | ~spl1_94),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1665])).
% 2.05/1.69  thf(f1665,definition,(
% 2.05/1.69    spl1_94 <=> ($false = (dirty @ sK9 @ mactual))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_94])],[avatar_definition])).
% 2.05/1.69  thf(f1298,plain,(
% 2.05/1.69    ($true = (dirty @ sK9 @ mactual)) | ~spl1_60),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1296])).
% 2.05/1.69  thf(f1296,definition,(
% 2.05/1.69    spl1_60 <=> ($true = (dirty @ sK9 @ mactual))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_60])],[avatar_definition])).
% 2.05/1.69  thf(f1687,plain,(
% 2.05/1.69    ~spl1_63 | ~spl1_91),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1686])).
% 2.05/1.69  thf(f1686,plain,(
% 2.05/1.69    $false | (~spl1_63 | ~spl1_91)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1683])).
% 2.05/1.69  thf(f1683,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_63 | ~spl1_91)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1313,f1655])).
% 2.05/1.69  thf(f1655,plain,(
% 2.05/1.69    ((chevy @ sK9 @ mactual) = $false) | ~spl1_91),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1653])).
% 2.05/1.69  thf(f1653,definition,(
% 2.05/1.69    spl1_91 <=> ((chevy @ sK9 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_91])],[avatar_definition])).
% 2.05/1.69  thf(f1313,plain,(
% 2.05/1.69    ((chevy @ sK9 @ mactual) = $true) | ~spl1_63),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1311])).
% 2.05/1.69  thf(f1311,definition,(
% 2.05/1.69    spl1_63 <=> ((chevy @ sK9 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_63])],[avatar_definition])).
% 2.05/1.69  thf(f1681,plain,(
% 2.05/1.69    ~spl1_61 | ~spl1_92),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1680])).
% 2.05/1.69  thf(f1680,plain,(
% 2.05/1.69    $false | (~spl1_61 | ~spl1_92)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1677])).
% 2.05/1.69  thf(f1677,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_61 | ~spl1_92)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1303,f1659])).
% 2.05/1.69  thf(f1659,plain,(
% 2.05/1.69    ((white @ sK9 @ mactual) = $false) | ~spl1_92),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1657])).
% 2.05/1.69  thf(f1657,definition,(
% 2.05/1.69    spl1_92 <=> ((white @ sK9 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_92])],[avatar_definition])).
% 2.05/1.69  thf(f1303,plain,(
% 2.05/1.69    ((white @ sK9 @ mactual) = $true) | ~spl1_61),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1301])).
% 2.05/1.69  thf(f1301,definition,(
% 2.05/1.69    spl1_61 <=> ((white @ sK9 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_61])],[avatar_definition])).
% 2.05/1.69  thf(f1675,plain,(
% 2.05/1.69    ~spl1_62 | ~spl1_93),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1674])).
% 2.05/1.69  thf(f1674,plain,(
% 2.05/1.69    $false | (~spl1_62 | ~spl1_93)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1671])).
% 2.05/1.69  thf(f1671,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_62 | ~spl1_93)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1308,f1663])).
% 2.05/1.69  thf(f1663,plain,(
% 2.05/1.69    ($false = (car @ sK9 @ mactual)) | ~spl1_93),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1661])).
% 2.05/1.69  thf(f1661,definition,(
% 2.05/1.69    spl1_93 <=> ($false = (car @ sK9 @ mactual))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_93])],[avatar_definition])).
% 2.05/1.69  thf(f1308,plain,(
% 2.05/1.69    ($true = (car @ sK9 @ mactual)) | ~spl1_62),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1306])).
% 2.05/1.69  thf(f1306,definition,(
% 2.05/1.69    spl1_62 <=> ($true = (car @ sK9 @ mactual))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_62])],[avatar_definition])).
% 2.05/1.69  thf(f1669,plain,(
% 2.05/1.69    spl1_92 | spl1_90 | spl1_93 | spl1_94 | spl1_91 | ~spl1_58 | ~spl1_67),
% 2.05/1.69    inference(avatar_split_clause,[status(thm)],[f1646,f1337,f1286,f1653,f1665,f1661,f1649,f1657])).
% 2.05/1.69  thf(f1286,definition,(
% 2.05/1.69    spl1_58 <=> ($true = (barrel @ sK4 @ sK9 @ mactual))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_58])],[avatar_definition])).
% 2.05/1.69  thf(f1337,definition,(
% 2.05/1.69    spl1_67 <=> ! [X1 : $i] : (((white @ X1 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ($false = (barrel @ sK4 @ X1 @ mactual)) | ((dirty @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_67])],[avatar_definition])).
% 2.05/1.69  thf(f1646,plain,(
% 2.05/1.69    ((white @ sK9 @ mactual) = $false) | ($false = (dirty @ sK9 @ mactual)) | ($false = (car @ sK9 @ mactual)) | ((old @ sK9 @ mactual) = $false) | ((chevy @ sK9 @ mactual) = $false) | (~spl1_58 | ~spl1_67)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1640])).
% 2.05/1.69  thf(f1640,plain,(
% 2.05/1.69    ($false = (dirty @ sK9 @ mactual)) | ($false = (car @ sK9 @ mactual)) | ((chevy @ sK9 @ mactual) = $false) | ($true = $false) | ((old @ sK9 @ mactual) = $false) | ((white @ sK9 @ mactual) = $false) | (~spl1_58 | ~spl1_67)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1338,f1288])).
% 2.05/1.69  thf(f1288,plain,(
% 2.05/1.69    ($true = (barrel @ sK4 @ sK9 @ mactual)) | ~spl1_58),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1286])).
% 2.05/1.69  thf(f1338,plain,(
% 2.05/1.69    ( ! [X1 : $i] : (($false = (barrel @ sK4 @ X1 @ mactual)) | ((white @ X1 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false)) ) | ~spl1_67),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1337])).
% 2.05/1.69  thf(f1626,plain,(
% 2.05/1.69    ~spl1_45 | ~spl1_80),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1625])).
% 2.05/1.69  thf(f1625,plain,(
% 2.05/1.69    $false | (~spl1_45 | ~spl1_80)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1622])).
% 2.05/1.69  thf(f1622,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_45 | ~spl1_80)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1106,f1428])).
% 2.05/1.69  thf(f1428,plain,(
% 2.05/1.69    ($false = (car @ sK10 @ mactual)) | ~spl1_80),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1426])).
% 2.05/1.69  thf(f1426,definition,(
% 2.05/1.69    spl1_80 <=> ($false = (car @ sK10 @ mactual))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_80])],[avatar_definition])).
% 2.05/1.69  thf(f1106,plain,(
% 2.05/1.69    ($true = (car @ sK10 @ mactual)) | ~spl1_45),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1104])).
% 2.05/1.69  thf(f1104,definition,(
% 2.05/1.69    spl1_45 <=> ($true = (car @ sK10 @ mactual))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_45])],[avatar_definition])).
% 2.05/1.69  thf(f1618,plain,(
% 2.05/1.69    ~spl1_41 | ~spl1_78),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1617])).
% 2.05/1.69  thf(f1617,plain,(
% 2.05/1.69    $false | (~spl1_41 | ~spl1_78)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1614])).
% 2.05/1.69  thf(f1614,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_41 | ~spl1_78)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1064,f1420])).
% 2.05/1.69  thf(f1420,plain,(
% 2.05/1.69    ((dirty @ sK10 @ mactual) = $false) | ~spl1_78),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1418])).
% 2.05/1.69  thf(f1418,definition,(
% 2.05/1.69    spl1_78 <=> ((dirty @ sK10 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_78])],[avatar_definition])).
% 2.05/1.69  thf(f1064,plain,(
% 2.05/1.69    ((dirty @ sK10 @ mactual) = $true) | ~spl1_41),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1062])).
% 2.05/1.69  thf(f1062,definition,(
% 2.05/1.69    spl1_41 <=> ((dirty @ sK10 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_41])],[avatar_definition])).
% 2.05/1.69  thf(f1612,plain,(
% 2.05/1.69    ~spl1_43 | ~spl1_79),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1611])).
% 2.05/1.69  thf(f1611,plain,(
% 2.05/1.69    $false | (~spl1_43 | ~spl1_79)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1607])).
% 2.05/1.69  thf(f1607,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_43 | ~spl1_79)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1424,f1084])).
% 2.05/1.69  thf(f1084,plain,(
% 2.05/1.69    ((white @ sK10 @ mactual) = $true) | ~spl1_43),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1082])).
% 2.05/1.69  thf(f1082,definition,(
% 2.05/1.69    spl1_43 <=> ((white @ sK10 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_43])],[avatar_definition])).
% 2.05/1.69  thf(f1424,plain,(
% 2.05/1.69    ((white @ sK10 @ mactual) = $false) | ~spl1_79),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1422])).
% 2.05/1.69  thf(f1422,definition,(
% 2.05/1.69    spl1_79 <=> ((white @ sK10 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_79])],[avatar_definition])).
% 2.05/1.69  thf(f1606,plain,(
% 2.05/1.69    ~spl1_38 | ~spl1_82),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1605])).
% 2.05/1.69  thf(f1605,plain,(
% 2.05/1.69    $false | (~spl1_38 | ~spl1_82)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1601])).
% 2.05/1.69  thf(f1601,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_38 | ~spl1_82)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1436,f1039])).
% 2.05/1.69  thf(f1039,plain,(
% 2.05/1.69    ((old @ sK10 @ mactual) = $true) | ~spl1_38),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1037])).
% 2.05/1.69  thf(f1037,definition,(
% 2.05/1.69    spl1_38 <=> ((old @ sK10 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_38])],[avatar_definition])).
% 2.05/1.69  thf(f1436,plain,(
% 2.05/1.69    ((old @ sK10 @ mactual) = $false) | ~spl1_82),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1434])).
% 2.05/1.69  thf(f1434,definition,(
% 2.05/1.69    spl1_82 <=> ((old @ sK10 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_82])],[avatar_definition])).
% 2.05/1.69  thf(f1599,plain,(
% 2.05/1.69    ~spl1_46 | ~spl1_81),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1598])).
% 2.05/1.69  thf(f1598,plain,(
% 2.05/1.69    $false | (~spl1_46 | ~spl1_81)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1594])).
% 2.05/1.69  thf(f1594,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_46 | ~spl1_81)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1432,f1119])).
% 2.05/1.69  thf(f1119,plain,(
% 2.05/1.69    ((chevy @ sK10 @ mactual) = $true) | ~spl1_46),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1117])).
% 2.05/1.69  thf(f1117,definition,(
% 2.05/1.69    spl1_46 <=> ((chevy @ sK10 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_46])],[avatar_definition])).
% 2.05/1.69  thf(f1432,plain,(
% 2.05/1.69    ((chevy @ sK10 @ mactual) = $false) | ~spl1_81),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1430])).
% 2.05/1.69  thf(f1430,definition,(
% 2.05/1.69    spl1_81 <=> ((chevy @ sK10 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_81])],[avatar_definition])).
% 2.05/1.69  thf(f1591,plain,(
% 2.05/1.69    ~spl1_51 | ~spl1_76),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1590])).
% 2.05/1.69  thf(f1590,plain,(
% 2.05/1.69    $false | (~spl1_51 | ~spl1_76)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1587])).
% 2.05/1.69  thf(f1587,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_51 | ~spl1_76)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1184,f1390])).
% 2.05/1.69  thf(f1390,plain,(
% 2.05/1.69    ((city @ sK2 @ mactual) = $false) | ~spl1_76),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1388])).
% 2.05/1.69  thf(f1388,definition,(
% 2.05/1.69    spl1_76 <=> ((city @ sK2 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_76])],[avatar_definition])).
% 2.05/1.69  thf(f1184,plain,(
% 2.05/1.69    ($true = (city @ sK2 @ mactual)) | ~spl1_51),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1182])).
% 2.05/1.69  thf(f1182,definition,(
% 2.05/1.69    spl1_51 <=> ($true = (city @ sK2 @ mactual))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_51])],[avatar_definition])).
% 2.05/1.69  thf(f1585,plain,(
% 2.05/1.69    ~spl1_53 | ~spl1_77),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1584])).
% 2.05/1.69  thf(f1584,plain,(
% 2.05/1.69    $false | (~spl1_53 | ~spl1_77)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1580])).
% 2.05/1.69  thf(f1580,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_53 | ~spl1_77)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1394,f1214])).
% 2.05/1.69  thf(f1214,plain,(
% 2.05/1.69    ((hollywood @ sK2 @ mactual) = $true) | ~spl1_53),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1212])).
% 2.05/1.69  thf(f1212,definition,(
% 2.05/1.69    spl1_53 <=> ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_53])],[avatar_definition])).
% 2.05/1.69  thf(f1394,plain,(
% 2.05/1.69    ((hollywood @ sK2 @ mactual) = $false) | ~spl1_77),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1392])).
% 2.05/1.69  thf(f1392,definition,(
% 2.05/1.69    spl1_77 <=> ((hollywood @ sK2 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_77])],[avatar_definition])).
% 2.05/1.69  thf(f1579,plain,(
% 2.05/1.69    ~spl1_56 | ~spl1_88),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1578])).
% 2.05/1.69  thf(f1578,plain,(
% 2.05/1.69    $false | (~spl1_56 | ~spl1_88)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1574])).
% 2.05/1.69  thf(f1574,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_56 | ~spl1_88)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1560,f1264])).
% 2.05/1.69  thf(f1264,plain,(
% 2.05/1.69    ((city @ sK3 @ mactual) = $true) | ~spl1_56),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1262])).
% 2.05/1.69  thf(f1262,definition,(
% 2.05/1.69    spl1_56 <=> ((city @ sK3 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_56])],[avatar_definition])).
% 2.05/1.69  thf(f1560,plain,(
% 2.05/1.69    ((city @ sK3 @ mactual) = $false) | ~spl1_88),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1558])).
% 2.05/1.69  thf(f1558,definition,(
% 2.05/1.69    spl1_88 <=> ((city @ sK3 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_88])],[avatar_definition])).
% 2.05/1.69  thf(f1573,plain,(
% 2.05/1.69    ~spl1_57 | ~spl1_89),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1572])).
% 2.05/1.69  thf(f1572,plain,(
% 2.05/1.69    $false | (~spl1_57 | ~spl1_89)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1568])).
% 2.05/1.69  thf(f1568,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_57 | ~spl1_89)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1564,f1282])).
% 2.05/1.69  thf(f1282,plain,(
% 2.05/1.69    ($true = (hollywood @ sK3 @ mactual)) | ~spl1_57),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1280])).
% 2.05/1.69  thf(f1280,definition,(
% 2.05/1.69    spl1_57 <=> ($true = (hollywood @ sK3 @ mactual))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_57])],[avatar_definition])).
% 2.05/1.69  thf(f1564,plain,(
% 2.05/1.69    ($false = (hollywood @ sK3 @ mactual)) | ~spl1_89),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1562])).
% 2.05/1.69  thf(f1562,definition,(
% 2.05/1.69    spl1_89 <=> ($false = (hollywood @ sK3 @ mactual))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_89])],[avatar_definition])).
% 2.05/1.69  thf(f1566,plain,(
% 2.05/1.69    spl1_88 | spl1_89 | ~spl1_31 | ~spl1_74),
% 2.05/1.69    inference(avatar_split_clause,[status(thm)],[f1555,f1370,f994,f1562,f1558])).
% 2.05/1.69  thf(f994,definition,(
% 2.05/1.69    spl1_31 <=> ((in @ sK6 @ sK3 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_31])],[avatar_definition])).
% 2.05/1.69  thf(f1370,definition,(
% 2.05/1.69    spl1_74 <=> ! [X0 : $i] : (((in @ sK6 @ X0 @ mactual) = $false) | ((city @ X0 @ mactual) = $false) | ((hollywood @ X0 @ mactual) = $false))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_74])],[avatar_definition])).
% 2.05/1.69  thf(f1555,plain,(
% 2.05/1.69    ($false = (hollywood @ sK3 @ mactual)) | ((city @ sK3 @ mactual) = $false) | (~spl1_31 | ~spl1_74)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1554])).
% 2.05/1.69  thf(f1554,plain,(
% 2.05/1.69    ((city @ sK3 @ mactual) = $false) | ($false = (hollywood @ sK3 @ mactual)) | ($true = $false) | (~spl1_31 | ~spl1_74)),
% 2.05/1.69    inference(superposition,[status(thm)],[f996,f1371])).
% 2.05/1.69  thf(f1371,plain,(
% 2.05/1.69    ( ! [X0 : $i] : (((in @ sK6 @ X0 @ mactual) = $false) | ((city @ X0 @ mactual) = $false) | ((hollywood @ X0 @ mactual) = $false)) ) | ~spl1_74),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1370])).
% 2.05/1.69  thf(f996,plain,(
% 2.05/1.69    ((in @ sK6 @ sK3 @ mactual) = $true) | ~spl1_31),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f994])).
% 2.05/1.69  thf(f1551,plain,(
% 2.05/1.69    ~spl1_39 | ~spl1_73),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1550])).
% 2.05/1.69  thf(f1550,plain,(
% 2.05/1.69    $false | (~spl1_39 | ~spl1_73)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1546])).
% 2.05/1.69  thf(f1546,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_39 | ~spl1_73)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1368,f1048])).
% 2.05/1.69  thf(f1048,plain,(
% 2.05/1.69    ($true = (street @ sK8 @ mactual)) | ~spl1_39),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1046])).
% 2.05/1.69  thf(f1046,definition,(
% 2.05/1.69    spl1_39 <=> ($true = (street @ sK8 @ mactual))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_39])],[avatar_definition])).
% 2.05/1.69  thf(f1368,plain,(
% 2.05/1.69    ($false = (street @ sK8 @ mactual)) | ~spl1_73),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1366])).
% 2.05/1.69  thf(f1366,definition,(
% 2.05/1.69    spl1_73 <=> ($false = (street @ sK8 @ mactual))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_73])],[avatar_definition])).
% 2.05/1.69  thf(f1544,plain,(
% 2.05/1.69    spl1_74 | spl1_72 | spl1_73 | ~spl1_1 | ~spl1_33 | spl1_70 | spl1_71 | spl1_75),
% 2.05/1.69    inference(avatar_split_clause,[status(thm)],[f1543,f1373,f1359,f1355,f1004,f846,f1366,f1363,f1370])).
% 2.05/1.69  thf(f1363,definition,(
% 2.05/1.69    spl1_72 <=> ! [X1 : $i] : (((car @ X1 @ mactual) = $false) | ((barrel @ sK6 @ X1 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_72])],[avatar_definition])).
% 2.05/1.69  thf(f846,definition,(
% 2.05/1.69    spl1_1 <=> ! [X4 : $i,X7 : $i,X3 : $i,X2 : $i] : (($false = (street @ X4 @ mactual)) | ((way @ X4 @ mactual) = $false) | ((lonely @ X4 @ mactual) = $false) | ((white @ X7 @ mactual) = $false) | ((barrel @ X3 @ X7 @ mactual) = $false) | ((in @ X3 @ X2 @ mactual) = $false) | ((event @ X3 @ mactual) = $false) | ((down @ X3 @ X4 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | ((city @ X2 @ mactual) = $false) | ((chevy @ X7 @ mactual) = $false) | ($false = (old @ X7 @ mactual)) | ((dirty @ X7 @ mactual) = $false) | ((car @ X7 @ mactual) = $false))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_1])],[avatar_definition])).
% 2.05/1.69  thf(f1004,definition,(
% 2.05/1.69    spl1_33 <=> ((down @ sK6 @ sK8 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_33])],[avatar_definition])).
% 2.05/1.69  thf(f1355,definition,(
% 2.05/1.69    spl1_70 <=> ((event @ sK6 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_70])],[avatar_definition])).
% 2.05/1.69  thf(f1359,definition,(
% 2.05/1.69    spl1_71 <=> ((lonely @ sK8 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_71])],[avatar_definition])).
% 2.05/1.69  thf(f1373,definition,(
% 2.05/1.69    spl1_75 <=> ((way @ sK8 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_75])],[avatar_definition])).
% 2.05/1.69  thf(f1543,plain,(
% 2.05/1.69    ( ! [X0 : $i,X1 : $i] : (((old @ X1 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ($false = (street @ sK8 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ((barrel @ sK6 @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((in @ sK6 @ X0 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false) | ((city @ X0 @ mactual) = $false)) ) | (~spl1_1 | ~spl1_33 | spl1_70 | spl1_71 | spl1_75)),
% 2.05/1.69    inference(subsumption_resolution,[status(thm)],[f1542,f1374])).
% 2.05/1.69  thf(f1374,plain,(
% 2.05/1.69    ((way @ sK8 @ mactual) != $false) | spl1_75),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1373])).
% 2.05/1.69  thf(f1542,plain,(
% 2.05/1.69    ( ! [X0 : $i,X1 : $i] : (((in @ sK6 @ X0 @ mactual) = $false) | ((barrel @ sK6 @ X1 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false) | ((city @ X0 @ mactual) = $false) | ($false = (street @ sK8 @ mactual)) | ((chevy @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((way @ sK8 @ mactual) = $false) | ((hollywood @ X0 @ mactual) = $false)) ) | (~spl1_1 | ~spl1_33 | spl1_70 | spl1_71)),
% 2.05/1.69    inference(subsumption_resolution,[status(thm)],[f1541,f1356])).
% 2.05/1.69  thf(f1356,plain,(
% 2.05/1.69    ((event @ sK6 @ mactual) != $false) | spl1_70),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1355])).
% 2.05/1.69  thf(f1541,plain,(
% 2.05/1.69    ( ! [X0 : $i,X1 : $i] : (($false = (street @ sK8 @ mactual)) | ((dirty @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((in @ sK6 @ X0 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((event @ sK6 @ mactual) = $false) | ((hollywood @ X0 @ mactual) = $false) | ((barrel @ sK6 @ X1 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((way @ sK8 @ mactual) = $false) | ((city @ X0 @ mactual) = $false)) ) | (~spl1_1 | ~spl1_33 | spl1_71)),
% 2.05/1.69    inference(subsumption_resolution,[status(thm)],[f1471,f1360])).
% 2.05/1.69  thf(f1360,plain,(
% 2.05/1.69    ((lonely @ sK8 @ mactual) != $false) | spl1_71),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1359])).
% 2.05/1.69  thf(f1471,plain,(
% 2.05/1.69    ( ! [X0 : $i,X1 : $i] : (((dirty @ X1 @ mactual) = $false) | ((lonely @ sK8 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((in @ sK6 @ X0 @ mactual) = $false) | ((hollywood @ X0 @ mactual) = $false) | ((barrel @ sK6 @ X1 @ mactual) = $false) | ((event @ sK6 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ($false = (street @ sK8 @ mactual)) | ((city @ X0 @ mactual) = $false) | ((way @ sK8 @ mactual) = $false)) ) | (~spl1_1 | ~spl1_33)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1469])).
% 2.05/1.69  thf(f1469,plain,(
% 2.05/1.69    ( ! [X0 : $i,X1 : $i] : (((dirty @ X1 @ mactual) = $false) | ((hollywood @ X0 @ mactual) = $false) | ((event @ sK6 @ mactual) = $false) | ($false = (street @ sK8 @ mactual)) | ($true = $false) | ((in @ sK6 @ X0 @ mactual) = $false) | ((city @ X0 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((way @ sK8 @ mactual) = $false) | ((lonely @ sK8 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((barrel @ sK6 @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((white @ X1 @ mactual) = $false)) ) | (~spl1_1 | ~spl1_33)),
% 2.05/1.69    inference(superposition,[status(thm)],[f847,f1006])).
% 2.05/1.69  thf(f1006,plain,(
% 2.05/1.69    ((down @ sK6 @ sK8 @ mactual) = $true) | ~spl1_33),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1004])).
% 2.05/1.69  thf(f847,plain,(
% 2.05/1.69    ( ! [X2 : $i,X3 : $i,X7 : $i,X4 : $i] : (((down @ X3 @ X4 @ mactual) = $false) | ((way @ X4 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | ((barrel @ X3 @ X7 @ mactual) = $false) | ((event @ X3 @ mactual) = $false) | ((chevy @ X7 @ mactual) = $false) | ((in @ X3 @ X2 @ mactual) = $false) | ($false = (street @ X4 @ mactual)) | ((lonely @ X4 @ mactual) = $false) | ($false = (old @ X7 @ mactual)) | ((car @ X7 @ mactual) = $false) | ((white @ X7 @ mactual) = $false) | ((city @ X2 @ mactual) = $false) | ((dirty @ X7 @ mactual) = $false)) ) | ~spl1_1),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f846])).
% 2.05/1.69  thf(f1540,plain,(
% 2.05/1.69    ~spl1_55 | ~spl1_70),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1539])).
% 2.05/1.69  thf(f1539,plain,(
% 2.05/1.69    $false | (~spl1_55 | ~spl1_70)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1535])).
% 2.05/1.69  thf(f1535,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_55 | ~spl1_70)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1357,f1246])).
% 2.05/1.69  thf(f1246,plain,(
% 2.05/1.69    ((event @ sK6 @ mactual) = $true) | ~spl1_55),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1244])).
% 2.05/1.69  thf(f1244,definition,(
% 2.05/1.69    spl1_55 <=> ((event @ sK6 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_55])],[avatar_definition])).
% 2.05/1.69  thf(f1357,plain,(
% 2.05/1.69    ((event @ sK6 @ mactual) = $false) | ~spl1_70),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1355])).
% 2.05/1.69  thf(f1531,plain,(
% 2.05/1.69    ~spl1_40 | ~spl1_87),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1530])).
% 2.05/1.69  thf(f1530,plain,(
% 2.05/1.69    $false | (~spl1_40 | ~spl1_87)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1526])).
% 2.05/1.69  thf(f1526,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_40 | ~spl1_87)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1495,f1056])).
% 2.05/1.69  thf(f1056,plain,(
% 2.05/1.69    ((old @ sK7 @ mactual) = $true) | ~spl1_40),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1054])).
% 2.05/1.69  thf(f1054,definition,(
% 2.05/1.69    spl1_40 <=> ((old @ sK7 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_40])],[avatar_definition])).
% 2.05/1.69  thf(f1495,plain,(
% 2.05/1.69    ((old @ sK7 @ mactual) = $false) | ~spl1_87),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1493])).
% 2.05/1.69  thf(f1493,definition,(
% 2.05/1.69    spl1_87 <=> ((old @ sK7 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_87])],[avatar_definition])).
% 2.05/1.69  thf(f1523,plain,(
% 2.05/1.69    ~spl1_52 | ~spl1_85),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1522])).
% 2.05/1.69  thf(f1522,plain,(
% 2.05/1.69    $false | (~spl1_52 | ~spl1_85)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1518])).
% 2.05/1.69  thf(f1518,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_52 | ~spl1_85)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1487,f1197])).
% 2.05/1.69  thf(f1197,plain,(
% 2.05/1.69    ((car @ sK7 @ mactual) = $true) | ~spl1_52),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1195])).
% 2.05/1.69  thf(f1195,definition,(
% 2.05/1.69    spl1_52 <=> ((car @ sK7 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_52])],[avatar_definition])).
% 2.05/1.69  thf(f1487,plain,(
% 2.05/1.69    ((car @ sK7 @ mactual) = $false) | ~spl1_85),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1485])).
% 2.05/1.69  thf(f1485,definition,(
% 2.05/1.69    spl1_85 <=> ((car @ sK7 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_85])],[avatar_definition])).
% 2.05/1.69  thf(f1516,plain,(
% 2.05/1.69    ~spl1_42 | ~spl1_83),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1515])).
% 2.05/1.69  thf(f1515,plain,(
% 2.05/1.69    $false | (~spl1_42 | ~spl1_83)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1511])).
% 2.05/1.69  thf(f1511,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_42 | ~spl1_83)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1479,f1075])).
% 2.05/1.69  thf(f1075,plain,(
% 2.05/1.69    ((dirty @ sK7 @ mactual) = $true) | ~spl1_42),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1073])).
% 2.05/1.69  thf(f1073,definition,(
% 2.05/1.69    spl1_42 <=> ((dirty @ sK7 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_42])],[avatar_definition])).
% 2.05/1.69  thf(f1479,plain,(
% 2.05/1.69    ((dirty @ sK7 @ mactual) = $false) | ~spl1_83),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1477])).
% 2.05/1.69  thf(f1477,definition,(
% 2.05/1.69    spl1_83 <=> ((dirty @ sK7 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_83])],[avatar_definition])).
% 2.05/1.69  thf(f1510,plain,(
% 2.05/1.69    ~spl1_54 | ~spl1_86),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1509])).
% 2.05/1.69  thf(f1509,plain,(
% 2.05/1.69    $false | (~spl1_54 | ~spl1_86)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1505])).
% 2.05/1.69  thf(f1505,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_54 | ~spl1_86)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1491,f1228])).
% 2.05/1.69  thf(f1228,plain,(
% 2.05/1.69    ((chevy @ sK7 @ mactual) = $true) | ~spl1_54),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1226])).
% 2.05/1.69  thf(f1226,definition,(
% 2.05/1.69    spl1_54 <=> ((chevy @ sK7 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_54])],[avatar_definition])).
% 2.05/1.69  thf(f1491,plain,(
% 2.05/1.69    ((chevy @ sK7 @ mactual) = $false) | ~spl1_86),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1489])).
% 2.05/1.69  thf(f1489,definition,(
% 2.05/1.69    spl1_86 <=> ((chevy @ sK7 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_86])],[avatar_definition])).
% 2.05/1.69  thf(f1503,plain,(
% 2.05/1.69    ~spl1_44 | ~spl1_84),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1502])).
% 2.05/1.69  thf(f1502,plain,(
% 2.05/1.69    $false | (~spl1_44 | ~spl1_84)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1498])).
% 2.05/1.69  thf(f1498,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_44 | ~spl1_84)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1483,f1096])).
% 2.05/1.69  thf(f1096,plain,(
% 2.05/1.69    ((white @ sK7 @ mactual) = $true) | ~spl1_44),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1094])).
% 2.05/1.69  thf(f1094,definition,(
% 2.05/1.69    spl1_44 <=> ((white @ sK7 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_44])],[avatar_definition])).
% 2.05/1.69  thf(f1483,plain,(
% 2.05/1.69    ((white @ sK7 @ mactual) = $false) | ~spl1_84),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1481])).
% 2.05/1.69  thf(f1481,definition,(
% 2.05/1.69    spl1_84 <=> ((white @ sK7 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_84])],[avatar_definition])).
% 2.05/1.69  thf(f1497,plain,(
% 2.05/1.69    spl1_87 | spl1_83 | spl1_85 | spl1_86 | spl1_84 | ~spl1_34 | ~spl1_72),
% 2.05/1.69    inference(avatar_split_clause,[status(thm)],[f1474,f1363,f1010,f1481,f1489,f1485,f1477,f1493])).
% 2.05/1.69  thf(f1010,definition,(
% 2.05/1.69    spl1_34 <=> ((barrel @ sK6 @ sK7 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_34])],[avatar_definition])).
% 2.05/1.69  thf(f1474,plain,(
% 2.05/1.69    ((chevy @ sK7 @ mactual) = $false) | ((dirty @ sK7 @ mactual) = $false) | ((old @ sK7 @ mactual) = $false) | ((white @ sK7 @ mactual) = $false) | ((car @ sK7 @ mactual) = $false) | (~spl1_34 | ~spl1_72)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1473])).
% 2.05/1.69  thf(f1473,plain,(
% 2.05/1.69    ((white @ sK7 @ mactual) = $false) | ((dirty @ sK7 @ mactual) = $false) | ($true = $false) | ((car @ sK7 @ mactual) = $false) | ((old @ sK7 @ mactual) = $false) | ((chevy @ sK7 @ mactual) = $false) | (~spl1_34 | ~spl1_72)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1012,f1364])).
% 2.05/1.69  thf(f1364,plain,(
% 2.05/1.69    ( ! [X1 : $i] : (((barrel @ sK6 @ X1 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false)) ) | ~spl1_72),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1363])).
% 2.05/1.69  thf(f1012,plain,(
% 2.05/1.69    ((barrel @ sK6 @ sK7 @ mactual) = $true) | ~spl1_34),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1010])).
% 2.05/1.69  thf(f1466,plain,(
% 2.05/1.69    ~spl1_37 | ~spl1_75),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1465])).
% 2.05/1.69  thf(f1465,plain,(
% 2.05/1.69    $false | (~spl1_37 | ~spl1_75)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1461])).
% 2.05/1.69  thf(f1461,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_37 | ~spl1_75)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1375,f1032])).
% 2.05/1.69  thf(f1032,plain,(
% 2.05/1.69    ((way @ sK8 @ mactual) = $true) | ~spl1_37),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1030])).
% 2.05/1.69  thf(f1030,definition,(
% 2.05/1.69    spl1_37 <=> ((way @ sK8 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_37])],[avatar_definition])).
% 2.05/1.69  thf(f1375,plain,(
% 2.05/1.69    ((way @ sK8 @ mactual) = $false) | ~spl1_75),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1373])).
% 2.05/1.69  thf(f1458,plain,(
% 2.05/1.69    ~spl1_35 | ~spl1_71),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1457])).
% 2.05/1.69  thf(f1457,plain,(
% 2.05/1.69    $false | (~spl1_35 | ~spl1_71)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1453])).
% 2.05/1.69  thf(f1453,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_35 | ~spl1_71)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1361,f1018])).
% 2.05/1.69  thf(f1018,plain,(
% 2.05/1.69    ((lonely @ sK8 @ mactual) = $true) | ~spl1_35),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1016])).
% 2.05/1.69  thf(f1016,definition,(
% 2.05/1.69    spl1_35 <=> ((lonely @ sK8 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_35])],[avatar_definition])).
% 2.05/1.69  thf(f1361,plain,(
% 2.05/1.69    ((lonely @ sK8 @ mactual) = $false) | ~spl1_71),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1359])).
% 2.05/1.69  thf(f1451,plain,(
% 2.05/1.69    ~spl1_48 | ~spl1_69),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1450])).
% 2.05/1.69  thf(f1450,plain,(
% 2.05/1.69    $false | (~spl1_48 | ~spl1_69)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1447])).
% 2.05/1.69  thf(f1447,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_48 | ~spl1_69)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1145,f1346])).
% 2.05/1.69  thf(f1346,plain,(
% 2.05/1.69    ($false = (way @ sK5 @ mactual)) | ~spl1_69),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1344])).
% 2.05/1.69  thf(f1344,definition,(
% 2.05/1.69    spl1_69 <=> ($false = (way @ sK5 @ mactual))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_69])],[avatar_definition])).
% 2.05/1.69  thf(f1145,plain,(
% 2.05/1.69    ($true = (way @ sK5 @ mactual)) | ~spl1_48),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1143])).
% 2.05/1.69  thf(f1143,definition,(
% 2.05/1.69    spl1_48 <=> ($true = (way @ sK5 @ mactual))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_48])],[avatar_definition])).
% 2.05/1.69  thf(f1444,plain,(
% 2.05/1.69    ~spl1_49 | ~spl1_68),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1443])).
% 2.05/1.69  thf(f1443,plain,(
% 2.05/1.69    $false | (~spl1_49 | ~spl1_68)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1439])).
% 2.05/1.69  thf(f1439,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_49 | ~spl1_68)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1342,f1158])).
% 2.05/1.69  thf(f1158,plain,(
% 2.05/1.69    ((street @ sK5 @ mactual) = $true) | ~spl1_49),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1156])).
% 2.05/1.69  thf(f1156,definition,(
% 2.05/1.69    spl1_49 <=> ((street @ sK5 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_49])],[avatar_definition])).
% 2.05/1.69  thf(f1342,plain,(
% 2.05/1.69    ((street @ sK5 @ mactual) = $false) | ~spl1_68),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1340])).
% 2.05/1.69  thf(f1340,definition,(
% 2.05/1.69    spl1_68 <=> ((street @ sK5 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_68])],[avatar_definition])).
% 2.05/1.69  thf(f1438,plain,(
% 2.05/1.69    spl1_80 | spl1_79 | spl1_82 | spl1_81 | spl1_78 | ~spl1_36 | ~spl1_67),
% 2.05/1.69    inference(avatar_split_clause,[status(thm)],[f1415,f1337,f1022,f1418,f1430,f1434,f1422,f1426])).
% 2.05/1.69  thf(f1022,definition,(
% 2.05/1.69    spl1_36 <=> ((barrel @ sK4 @ sK10 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_36])],[avatar_definition])).
% 2.05/1.69  thf(f1415,plain,(
% 2.05/1.69    ((dirty @ sK10 @ mactual) = $false) | ((chevy @ sK10 @ mactual) = $false) | ($false = (car @ sK10 @ mactual)) | ((white @ sK10 @ mactual) = $false) | ((old @ sK10 @ mactual) = $false) | (~spl1_36 | ~spl1_67)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1413])).
% 2.05/1.69  thf(f1413,plain,(
% 2.05/1.69    ((old @ sK10 @ mactual) = $false) | ((white @ sK10 @ mactual) = $false) | ((chevy @ sK10 @ mactual) = $false) | ((dirty @ sK10 @ mactual) = $false) | ($false = (car @ sK10 @ mactual)) | ($true = $false) | (~spl1_36 | ~spl1_67)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1338,f1024])).
% 2.05/1.69  thf(f1024,plain,(
% 2.05/1.69    ((barrel @ sK4 @ sK10 @ mactual) = $true) | ~spl1_36),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1022])).
% 2.05/1.69  thf(f1411,plain,(
% 2.05/1.69    ~spl1_47 | ~spl1_66),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1410])).
% 2.05/1.69  thf(f1410,plain,(
% 2.05/1.69    $false | (~spl1_47 | ~spl1_66)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1406])).
% 2.05/1.69  thf(f1406,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_47 | ~spl1_66)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1335,f1132])).
% 2.05/1.69  thf(f1132,plain,(
% 2.05/1.69    ((lonely @ sK5 @ mactual) = $true) | ~spl1_47),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1130])).
% 2.05/1.69  thf(f1130,definition,(
% 2.05/1.69    spl1_47 <=> ((lonely @ sK5 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_47])],[avatar_definition])).
% 2.05/1.69  thf(f1335,plain,(
% 2.05/1.69    ((lonely @ sK5 @ mactual) = $false) | ~spl1_66),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1333])).
% 2.05/1.69  thf(f1333,definition,(
% 2.05/1.69    spl1_66 <=> ((lonely @ sK5 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_66])],[avatar_definition])).
% 2.05/1.69  thf(f1404,plain,(
% 2.05/1.69    spl1_68 | spl1_65 | spl1_67 | spl1_66 | spl1_69 | spl1_64 | ~spl1_1 | ~spl1_32),
% 2.05/1.69    inference(avatar_split_clause,[status(thm)],[f1381,f999,f846,f1326,f1344,f1333,f1337,f1329,f1340])).
% 2.05/1.69  thf(f1329,definition,(
% 2.05/1.69    spl1_65 <=> ((event @ sK4 @ mactual) = $false)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_65])],[avatar_definition])).
% 2.05/1.69  thf(f1326,definition,(
% 2.05/1.69    spl1_64 <=> ! [X0 : $i] : (((hollywood @ X0 @ mactual) = $false) | ($false = (in @ sK4 @ X0 @ mactual)) | ((city @ X0 @ mactual) = $false))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_64])],[avatar_definition])).
% 2.05/1.69  thf(f999,definition,(
% 2.05/1.69    spl1_32 <=> ($true = (down @ sK4 @ sK5 @ mactual))),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_32])],[avatar_definition])).
% 2.05/1.69  thf(f1381,plain,(
% 2.05/1.69    ( ! [X0 : $i,X1 : $i] : (((old @ X1 @ mactual) = $false) | ($false = (barrel @ sK4 @ X1 @ mactual)) | ((street @ sK5 @ mactual) = $false) | ($false = (way @ sK5 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((lonely @ sK5 @ mactual) = $false) | ((event @ sK4 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false) | ((city @ X0 @ mactual) = $false) | ($false = (in @ sK4 @ X0 @ mactual)) | ((chevy @ X1 @ mactual) = $false)) ) | (~spl1_1 | ~spl1_32)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1378])).
% 2.05/1.69  thf(f1378,plain,(
% 2.05/1.69    ( ! [X0 : $i,X1 : $i] : (($true = $false) | ((old @ X1 @ mactual) = $false) | ($false = (barrel @ sK4 @ X1 @ mactual)) | ((chevy @ X1 @ mactual) = $false) | ((street @ sK5 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false) | ($false = (in @ sK4 @ X0 @ mactual)) | ((city @ X0 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((lonely @ sK5 @ mactual) = $false) | ($false = (way @ sK5 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ((event @ sK4 @ mactual) = $false) | ((white @ X1 @ mactual) = $false)) ) | (~spl1_1 | ~spl1_32)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1001,f847])).
% 2.05/1.69  thf(f1001,plain,(
% 2.05/1.69    ($true = (down @ sK4 @ sK5 @ mactual)) | ~spl1_32),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f999])).
% 2.05/1.69  thf(f1402,plain,(
% 2.05/1.69    ~spl1_50 | ~spl1_65),
% 2.05/1.69    inference(avatar_contradiction_clause,[status(thm)],[f1401])).
% 2.05/1.69  thf(f1401,plain,(
% 2.05/1.69    $false | (~spl1_50 | ~spl1_65)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1397])).
% 2.05/1.69  thf(f1397,plain,(
% 2.05/1.69    ($true = $false) | (~spl1_50 | ~spl1_65)),
% 2.05/1.69    inference(superposition,[status(thm)],[f1331,f1171])).
% 2.05/1.69  thf(f1171,plain,(
% 2.05/1.69    ((event @ sK4 @ mactual) = $true) | ~spl1_50),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1169])).
% 2.05/1.69  thf(f1169,definition,(
% 2.05/1.69    spl1_50 <=> ((event @ sK4 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_50])],[avatar_definition])).
% 2.05/1.69  thf(f1331,plain,(
% 2.05/1.69    ((event @ sK4 @ mactual) = $false) | ~spl1_65),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1329])).
% 2.05/1.69  thf(f1396,plain,(
% 2.05/1.69    spl1_76 | spl1_77 | ~spl1_30 | ~spl1_64),
% 2.05/1.69    inference(avatar_split_clause,[status(thm)],[f1385,f1326,f990,f1392,f1388])).
% 2.05/1.69  thf(f990,definition,(
% 2.05/1.69    spl1_30 <=> ((in @ sK4 @ sK2 @ mactual) = $true)),
% 2.05/1.69    introduced(definition,[new_symbols(naming,[spl1_30])],[avatar_definition])).
% 2.05/1.69  thf(f1385,plain,(
% 2.05/1.69    ((hollywood @ sK2 @ mactual) = $false) | ((city @ sK2 @ mactual) = $false) | (~spl1_30 | ~spl1_64)),
% 2.05/1.69    inference(trivial_inequality_removal,[status(thm)],[f1384])).
% 2.05/1.69  thf(f1384,plain,(
% 2.05/1.69    ((city @ sK2 @ mactual) = $false) | ((hollywood @ sK2 @ mactual) = $false) | ($true = $false) | (~spl1_30 | ~spl1_64)),
% 2.05/1.69    inference(superposition,[status(thm)],[f992,f1327])).
% 2.05/1.69  thf(f1327,plain,(
% 2.05/1.69    ( ! [X0 : $i] : (($false = (in @ sK4 @ X0 @ mactual)) | ((city @ X0 @ mactual) = $false) | ((hollywood @ X0 @ mactual) = $false)) ) | ~spl1_64),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f1326])).
% 2.05/1.69  thf(f992,plain,(
% 2.05/1.69    ((in @ sK4 @ sK2 @ mactual) = $true) | ~spl1_30),
% 2.05/1.69    inference(avatar_component_clause,[status(thm)],[f990])).
% 2.05/1.69  thf(f1320,plain,(
% 2.05/1.69    spl1_53 | spl1_57),
% 2.05/1.69    inference(avatar_split_clause,[status(thm)],[f79,f1280,f1212])).
% 2.05/1.69  thf(f79,plain,(
% 2.05/1.69    ((hollywood @ sK2 @ mactual) = $true) | ($true = (hollywood @ sK3 @ mactual))),
% 2.05/1.69    inference(binary_proxy_clausification,[status(thm)],[f77])).
% 2.05/1.69  thf(f77,plain,(
% 2.05/1.69    ($true = (hollywood @ sK3 @ mactual)) | (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK9 @ mactual) & ((car @ sK9 @ mactual) & ((white @ sK9 @ mactual) & ((dirty @ sK9 @ mactual) & ((old @ sK9 @ mactual) & ((barrel @ sK4 @ sK9 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))))) = $true)),
% 2.05/1.69    inference(beta_eta_normalization,[status(thm)],[f76])).
% 2.05/1.69  thf(f76,plain,(
% 2.05/1.69    ($true = (hollywood @ sK3 @ mactual)) | (((^[Y0 : $i]: ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK4 @ Y0 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))))))))))) @ sK9) = $true)),
% 2.05/1.69    inference(sigma_clausification,[status(thm)],[f75])).
% 2.05/1.69  thf(f75,plain,(
% 2.05/1.69    ($true = (hollywood @ sK3 @ mactual)) | ($true = (?? @ $i @ (^[Y0 : $i]: ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK4 @ Y0 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))))))))),
% 2.05/1.69    inference(binary_proxy_clausification,[status(thm)],[f73])).
% 2.05/1.69  thf(f73,plain,(
% 2.05/1.69    (((hollywood @ sK3 @ mactual) & ((city @ sK3 @ mactual) & ((event @ sK6 @ mactual) & ((chevy @ sK7 @ mactual) & ((car @ sK7 @ mactual) & ((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))))))))))) = $true) | ($true = (?? @ $i @ (^[Y0 : $i]: ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK4 @ Y0 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))))))))),
% 2.05/1.69    inference(beta_eta_normalization,[status(thm)],[f72])).
% 2.05/1.69  thf(f72,plain,(
% 2.05/1.69    (((^[Y0 : $i]: ((hollywood @ sK3 @ mactual) & ((city @ sK3 @ mactual) & ((event @ sK6 @ mactual) & ((chevy @ sK7 @ mactual) & ((car @ sK7 @ mactual) & ((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ Y0 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))))))))) @ sK8) = $true) | ($true = (?? @ $i @ (^[Y0 : $i]: ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK4 @ Y0 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))))))))),
% 2.05/1.69    inference(sigma_clausification,[status(thm)],[f71])).
% 2.05/1.69  thf(f71,plain,(
% 2.05/1.69    ((?? @ $i @ (^[Y0 : $i]: ((hollywood @ sK3 @ mactual) & ((city @ sK3 @ mactual) & ((event @ sK6 @ mactual) & ((chevy @ sK7 @ mactual) & ((car @ sK7 @ mactual) & ((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ Y0 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))))))))))))) = $true) | ($true = (?? @ $i @ (^[Y0 : $i]: ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK4 @ Y0 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))))))))),
% 2.05/1.69    inference(beta_eta_normalization,[status(thm)],[f70])).
% 2.05/1.69  thf(f70,plain,(
% 2.05/1.69    ($true = (?? @ $i @ (^[Y0 : $i]: ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK4 @ Y0 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))))))))))))) | ($true = ((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((hollywood @ sK3 @ mactual) & ((city @ sK3 @ mactual) & ((event @ sK6 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK6 @ Y0 @ mactual) & ((down @ sK6 @ Y1 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))))))))))) @ sK7))),
% 2.05/1.69    inference(sigma_clausification,[status(thm)],[f69])).
% 2.05/1.69  thf(f69,plain,(
% 2.05/1.69    ($true = (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((hollywood @ sK3 @ mactual) & ((city @ sK3 @ mactual) & ((event @ sK6 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK6 @ Y0 @ mactual) & ((down @ sK6 @ Y1 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))))))))))))) | ($true = (?? @ $i @ (^[Y0 : $i]: ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK4 @ Y0 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))))))))),
% 2.05/1.69    inference(beta_eta_normalization,[status(thm)],[f68])).
% 2.05/1.69  thf(f68,plain,(
% 2.05/1.69    ($true = ((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((hollywood @ sK3 @ mactual) & ((city @ sK3 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ sK3 @ mactual))))))))))))))))))) @ sK6)) | ($true = (?? @ $i @ (^[Y0 : $i]: ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK4 @ Y0 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))))))))),
% 2.05/1.69    inference(sigma_clausification,[status(thm)],[f67])).
% 2.05/1.69  thf(f67,plain,(
% 2.05/1.69    ($true = (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((hollywood @ sK3 @ mactual) & ((city @ sK3 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ sK3 @ mactual))))))))))))))))))))) | ($true = (?? @ $i @ (^[Y0 : $i]: ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK4 @ Y0 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))))))))),
% 2.05/1.69    inference(beta_eta_normalization,[status(thm)],[f66])).
% 2.05/1.69  thf(f66,plain,(
% 2.05/1.69    (((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ 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 @ sK4 @ Y1 @ mactual) & ((down @ sK4 @ Y0 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))))))))))))) @ sK5) = $true) | ($true = (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((hollywood @ sK3 @ mactual) & ((city @ sK3 @ 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 @ sK3 @ mactual)))))))))))))))))))))),
% 2.05/1.69    inference(sigma_clausification,[status(thm)],[f65])).
% 2.05/1.69  thf(f65,plain,(
% 2.05/1.69    ((?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ 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 @ sK4 @ Y1 @ mactual) & ((down @ sK4 @ Y0 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))))))))) = $true) | ($true = (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((hollywood @ sK3 @ mactual) & ((city @ sK3 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & (in @ Y0 @ sK3 @ mactual)))))))))))))))))))))),
% 2.05/1.69    inference(beta_eta_normalization,[status(thm)],[f64])).
% 2.05/1.69  thf(f64,plain,(
% 2.05/1.69    ($true = (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((hollywood @ sK3 @ mactual) & ((city @ sK3 @ 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 @ sK3 @ mactual))))))))))))))))))))) | (((^[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))))))))))))))))))) @ sK4) = $true)),
% 2.05/1.69    inference(sigma_clausification,[status(thm)],[f63])).
% 2.05/1.69  thf(f63,plain,(
% 2.05/1.69    ($true = (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((barrel @ Y0 @ Y2 @ mactual) & ((down @ Y0 @ Y1 @ mactual) & (in @ Y0 @ sK2 @ mactual))))))))))))))))))))) | ($true = (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((hollywood @ sK3 @ mactual) & ((city @ sK3 @ 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 @ sK3 @ mactual)))))))))))))))))))))),
% 2.05/1.69    inference(beta_eta_normalization,[status(thm)],[f62])).
% 2.05/1.70  thf(f62,plain,(
% 2.05/1.70    (((^[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))))))))))))))))))))) @ sK3) = $true) | ($true = (?? @ $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)))))))))))))))))))))),
% 2.05/1.70    inference(sigma_clausification,[status(thm)],[f61])).
% 2.05/1.70  thf(f61,plain,(
% 2.05/1.70    ((?? @ $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)))))))))))))))))))))) = $true) | ($true = (?? @ $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)))))))))))))))))))))),
% 2.05/1.70    inference(beta_eta_normalization,[status(thm)],[f60])).
% 2.05/1.70  thf(f60,plain,(
% 2.05/1.70    (((^[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))))))))))))))))))))) @ 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)))))))))))))))))))))) = $true)),
% 2.05/1.70    inference(sigma_clausification,[status(thm)],[f59])).
% 2.05/1.70  thf(f59,plain,(
% 2.05/1.70    ((?? @ $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)))))))))))))))))))))) = $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)))))))))))))))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f57])).
% 2.05/1.70  thf(f57,plain,(
% 2.05/1.70    (((?? @ $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)))))))))))))))))))))) => (?? @ $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))))))))))))))))))))))) = $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)))))))))))))))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f55])).
% 2.05/1.70  thf(f55,plain,(
% 2.05/1.70    (((?? @ $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)))))))))))))))))))))) => (?? @ $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))))))))))))))))))))))) = $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)))))))))))))))))))))) => (?? @ $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))))))))))))))))))))))) = $false)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f54])).
% 2.05/1.70  thf(f54,plain,(
% 2.05/1.70    ((((?? @ $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)))))))))))))))))))))) => (?? @ $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))))))))))))))))))))))) & ((?? @ $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)))))))))))))))))))))) => (?? @ $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)))))))))))))))))))))))) != $true)),
% 2.05/1.70    inference(beta_eta_normalization,[status(thm)],[f53])).
% 2.05/1.70  thf(f53,plain,(
% 2.05/1.70    (((^[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)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (?? @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: (Y3 @ 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)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (?? @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: (Y3 @ 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)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (?? @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: (Y3 @ 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)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (?? @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: (Y3 @ 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)),
% 2.05/1.70    inference(definition_unfolding,[status(thm)],[f49,f48,f51,f41,f46,f46,f46,f46,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f46,f46,f46,f46,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f41,f46,f46,f46,f46,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f46,f46,f46,f46,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51,f51])).
% 2.05/1.70  thf(f46,plain,(
% 2.05/1.70    (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 2.05/1.70    inference(cnf_transformation,[status(thm)],[f37])).
% 2.05/1.70  thf(f37,plain,(
% 2.05/1.70    (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 2.05/1.70    inference(fool_elimination,[status(thm)],[f36])).
% 2.05/1.70  thf(f36,plain,(
% 2.05/1.70    ((^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2 : $i] : (X0 @ X2 @ X1))) = mexists_di)),
% 2.05/1.70    inference(rectify,[status(thm)],[f11])).
% 2.05/1.70  thf(f11,axiom,(
% 2.05/1.70    ((^[X1 : $i > mworld > $o, X2 : mworld] : (? [X5 : $i] : (X1 @ X5 @ X2))) = mexists_di)),
% 2.05/1.70    file('/export/starexec/sandbox/tmp/tmp.xdLXuHNyym/DTF2THF_5915.p',mexists_di_def)).
% 2.05/1.70  thf(f41,plain,(
% 2.05/1.70    (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 2.05/1.70    inference(cnf_transformation,[status(thm)],[f18])).
% 2.05/1.70  thf(f18,plain,(
% 2.05/1.70    (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 2.05/1.70    inference(fool_elimination,[status(thm)],[f17])).
% 2.05/1.70  thf(f17,plain,(
% 2.05/1.70    ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))) = mimplies)),
% 2.05/1.70    inference(rectify,[status(thm)],[f5])).
% 2.05/1.70  thf(f5,axiom,(
% 2.05/1.70    ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))) = mimplies)),
% 2.05/1.70    file('/export/starexec/sandbox/tmp/tmp.xdLXuHNyym/DTF2THF_5915.p',mimplies_def)).
% 2.05/1.70  thf(f51,plain,(
% 2.05/1.70    (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 2.05/1.70    inference(cnf_transformation,[status(thm)],[f35])).
% 2.05/1.70  thf(f35,plain,(
% 2.05/1.70    (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 2.05/1.70    inference(fool_elimination,[status(thm)],[f34])).
% 2.05/1.70  thf(f34,plain,(
% 2.05/1.70    (mand = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X0 @ X2))))),
% 2.05/1.70    inference(rectify,[status(thm)],[f3])).
% 2.05/1.70  thf(f3,axiom,(
% 2.05/1.70    (mand = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) & (X1 @ X2))))),
% 2.05/1.70    file('/export/starexec/sandbox/tmp/tmp.xdLXuHNyym/DTF2THF_5915.p',mand_def)).
% 2.05/1.70  thf(f48,plain,(
% 2.05/1.70    (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 2.05/1.70    inference(cnf_transformation,[status(thm)],[f21])).
% 2.05/1.70  thf(f21,plain,(
% 2.05/1.70    (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 2.05/1.70    inference(fool_elimination,[status(thm)],[f1])).
% 2.05/1.70  thf(f1,axiom,(
% 2.05/1.70    ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 2.05/1.70    file('/export/starexec/sandbox/tmp/tmp.xdLXuHNyym/DTF2THF_5915.p',mlocal_def)).
% 2.05/1.70  thf(f49,plain,(
% 2.05/1.70    ((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)),
% 2.05/1.70    inference(cnf_transformation,[status(thm)],[f38])).
% 2.05/1.70  thf(f38,plain,(
% 2.05/1.70    ((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)),
% 2.05/1.70    inference(flattening,[status(thm)],[f23])).
% 2.05/1.70  thf(f23,plain,(
% 2.05/1.70    ~((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)),
% 2.05/1.70    inference(fool_elimination,[status(thm)],[f22])).
% 2.05/1.70  thf(f22,plain,(
% 2.05/1.70    ~(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)))))))))))))))))))))))))),
% 2.05/1.70    inference(rectify,[status(thm)],[f13])).
% 2.05/1.70  thf(f13,negated_conjecture,(
% 2.05/1.70    ~(mlocal @ (mand @ (mimplies @ (mexists_di @ (^[X6 : $i] : (mexists_di @ (^[X4 : $i] : (mexists_di @ (^[X2 : $i] : (mexists_di @ (^[X5 : $i] : (mand @ (hollywood @ X6) @ (mand @ (city @ X6) @ (mand @ (event @ X4) @ (mand @ (street @ X2) @ (mand @ (way @ X2) @ (mand @ (lonely @ X2) @ (mand @ (chevy @ X5) @ (mand @ (car @ X5) @ (mand @ (white @ X5) @ (mand @ (dirty @ X5) @ (mand @ (old @ X5) @ (mand @ (barrel @ X4 @ X5) @ (mand @ (down @ X4 @ X2) @ (in @ X4 @ X6)))))))))))))))))))))) @ (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)))))))))))))))))))))))))),
% 2.05/1.70    inference(negated_conjecture,[status(cth)],[f12])).
% 2.05/1.70  thf(f12,conjecture,(
% 2.05/1.70    (mlocal @ (mand @ (mimplies @ (mexists_di @ (^[X6 : $i] : (mexists_di @ (^[X4 : $i] : (mexists_di @ (^[X2 : $i] : (mexists_di @ (^[X5 : $i] : (mand @ (hollywood @ X6) @ (mand @ (city @ X6) @ (mand @ (event @ X4) @ (mand @ (street @ X2) @ (mand @ (way @ X2) @ (mand @ (lonely @ X2) @ (mand @ (chevy @ X5) @ (mand @ (car @ X5) @ (mand @ (white @ X5) @ (mand @ (dirty @ X5) @ (mand @ (old @ X5) @ (mand @ (barrel @ X4 @ X5) @ (mand @ (down @ X4 @ X2) @ (in @ X4 @ X6)))))))))))))))))))))) @ (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 : $i] : (mand @ (hollywood @ X15) @ (mand @ (city @ X15) @ (mand @ (event @ X16) @ (mand @ (street @ X17) @ (mand @ (way @ X17) @ (mand @ (lonely @ X17) @ (mand @ (chevy @ X18) @ (mand @ (car @ X18) @ (mand @ (white @ X18) @ (mand @ (dirty @ X18) @ (mand @ (old @ X18) @ (mand @ (barrel @ X16 @ X18) @ (mand @ (down @ X16 @ X17) @ (in @ X16 @ X15)))))))))))))))))))))))))),
% 2.05/1.70    file('/export/starexec/sandbox/tmp/tmp.xdLXuHNyym/DTF2THF_5915.p',co1)).
% 2.05/1.70  thf(f1319,plain,(
% 2.05/1.70    spl1_57 | spl1_51),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f81,f1182,f1280])).
% 2.05/1.70  thf(f81,plain,(
% 2.05/1.70    ($true = (city @ sK2 @ mactual)) | ($true = (hollywood @ sK3 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f78])).
% 2.05/1.70  thf(f78,plain,(
% 2.05/1.70    ($true = (hollywood @ sK3 @ mactual)) | (((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK9 @ mactual) & ((car @ sK9 @ mactual) & ((white @ sK9 @ mactual) & ((dirty @ sK9 @ mactual) & ((old @ sK9 @ mactual) & ((barrel @ sK4 @ sK9 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f77])).
% 2.05/1.70  thf(f1318,plain,(
% 2.05/1.70    spl1_57 | spl1_50),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f83,f1169,f1280])).
% 2.05/1.70  thf(f83,plain,(
% 2.05/1.70    ($true = (hollywood @ sK3 @ mactual)) | ((event @ sK4 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f80])).
% 2.05/1.70  thf(f80,plain,(
% 2.05/1.70    (((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK9 @ mactual) & ((car @ sK9 @ mactual) & ((white @ sK9 @ mactual) & ((dirty @ sK9 @ mactual) & ((old @ sK9 @ mactual) & ((barrel @ sK4 @ sK9 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))) = $true) | ($true = (hollywood @ sK3 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f78])).
% 2.05/1.70  thf(f1317,plain,(
% 2.05/1.70    spl1_57 | spl1_49),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f85,f1156,f1280])).
% 2.05/1.70  thf(f85,plain,(
% 2.05/1.70    ((street @ sK5 @ mactual) = $true) | ($true = (hollywood @ sK3 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f82])).
% 2.05/1.70  thf(f82,plain,(
% 2.05/1.70    ($true = (hollywood @ sK3 @ mactual)) | (((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK9 @ mactual) & ((car @ sK9 @ mactual) & ((white @ sK9 @ mactual) & ((dirty @ sK9 @ mactual) & ((old @ sK9 @ mactual) & ((barrel @ sK4 @ sK9 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f80])).
% 2.05/1.70  thf(f1316,plain,(
% 2.05/1.70    spl1_48 | spl1_57),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f87,f1280,f1143])).
% 2.05/1.70  thf(f87,plain,(
% 2.05/1.70    ($true = (hollywood @ sK3 @ mactual)) | ($true = (way @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f84])).
% 2.05/1.70  thf(f84,plain,(
% 2.05/1.70    ($true = (hollywood @ sK3 @ mactual)) | (((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK9 @ mactual) & ((car @ sK9 @ mactual) & ((white @ sK9 @ mactual) & ((dirty @ sK9 @ mactual) & ((old @ sK9 @ mactual) & ((barrel @ sK4 @ sK9 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f82])).
% 2.05/1.70  thf(f1315,plain,(
% 2.05/1.70    spl1_57 | spl1_47),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f89,f1130,f1280])).
% 2.05/1.70  thf(f89,plain,(
% 2.05/1.70    ((lonely @ sK5 @ mactual) = $true) | ($true = (hollywood @ sK3 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f86])).
% 2.05/1.70  thf(f86,plain,(
% 2.05/1.70    (((lonely @ sK5 @ mactual) & ((chevy @ sK9 @ mactual) & ((car @ sK9 @ mactual) & ((white @ sK9 @ mactual) & ((dirty @ sK9 @ mactual) & ((old @ sK9 @ mactual) & ((barrel @ sK4 @ sK9 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))))) = $true) | ($true = (hollywood @ sK3 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f84])).
% 2.05/1.70  thf(f1314,plain,(
% 2.05/1.70    spl1_63 | spl1_57),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f91,f1280,f1311])).
% 2.05/1.70  thf(f91,plain,(
% 2.05/1.70    ($true = (hollywood @ sK3 @ mactual)) | ((chevy @ sK9 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f88])).
% 2.05/1.70  thf(f88,plain,(
% 2.05/1.70    ($true = (hollywood @ sK3 @ mactual)) | (((chevy @ sK9 @ mactual) & ((car @ sK9 @ mactual) & ((white @ sK9 @ mactual) & ((dirty @ sK9 @ mactual) & ((old @ sK9 @ mactual) & ((barrel @ sK4 @ sK9 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f86])).
% 2.05/1.70  thf(f1309,plain,(
% 2.05/1.70    spl1_57 | spl1_62),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f93,f1306,f1280])).
% 2.05/1.70  thf(f93,plain,(
% 2.05/1.70    ($true = (car @ sK9 @ mactual)) | ($true = (hollywood @ sK3 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f90])).
% 2.05/1.70  thf(f90,plain,(
% 2.05/1.70    (((car @ sK9 @ mactual) & ((white @ sK9 @ mactual) & ((dirty @ sK9 @ mactual) & ((old @ sK9 @ mactual) & ((barrel @ sK4 @ sK9 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))) = $true) | ($true = (hollywood @ sK3 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f88])).
% 2.05/1.70  thf(f1304,plain,(
% 2.05/1.70    spl1_57 | spl1_61),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f95,f1301,f1280])).
% 2.05/1.70  thf(f95,plain,(
% 2.05/1.70    ((white @ sK9 @ mactual) = $true) | ($true = (hollywood @ sK3 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f92])).
% 2.05/1.70  thf(f92,plain,(
% 2.05/1.70    ($true = (hollywood @ sK3 @ mactual)) | ($true = ((white @ sK9 @ mactual) & ((dirty @ sK9 @ mactual) & ((old @ sK9 @ mactual) & ((barrel @ sK4 @ sK9 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f90])).
% 2.05/1.70  thf(f1299,plain,(
% 2.05/1.70    spl1_60 | spl1_57),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f97,f1280,f1296])).
% 2.05/1.70  thf(f97,plain,(
% 2.05/1.70    ($true = (hollywood @ sK3 @ mactual)) | ($true = (dirty @ sK9 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f94])).
% 2.05/1.70  thf(f94,plain,(
% 2.05/1.70    ($true = (hollywood @ sK3 @ mactual)) | (((dirty @ sK9 @ mactual) & ((old @ sK9 @ mactual) & ((barrel @ sK4 @ sK9 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f92])).
% 2.05/1.70  thf(f1294,plain,(
% 2.05/1.70    spl1_57 | spl1_59),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f99,f1291,f1280])).
% 2.05/1.70  thf(f99,plain,(
% 2.05/1.70    ($true = (hollywood @ sK3 @ mactual)) | ($true = (old @ sK9 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f96])).
% 2.05/1.70  thf(f96,plain,(
% 2.05/1.70    (((old @ sK9 @ mactual) & ((barrel @ sK4 @ sK9 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))) = $true) | ($true = (hollywood @ sK3 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f94])).
% 2.05/1.70  thf(f1289,plain,(
% 2.05/1.70    spl1_58 | spl1_57),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f101,f1280,f1286])).
% 2.05/1.70  thf(f101,plain,(
% 2.05/1.70    ($true = (hollywood @ sK3 @ mactual)) | ($true = (barrel @ sK4 @ sK9 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f98])).
% 2.05/1.70  thf(f98,plain,(
% 2.05/1.70    (((barrel @ sK4 @ sK9 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))) = $true) | ($true = (hollywood @ sK3 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f96])).
% 2.05/1.70  thf(f1284,plain,(
% 2.05/1.70    spl1_57 | spl1_32),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f103,f999,f1280])).
% 2.05/1.70  thf(f103,plain,(
% 2.05/1.70    ($true = (down @ sK4 @ sK5 @ mactual)) | ($true = (hollywood @ sK3 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f100])).
% 2.05/1.70  thf(f100,plain,(
% 2.05/1.70    ($true = (hollywood @ sK3 @ mactual)) | (((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f98])).
% 2.05/1.70  thf(f1283,plain,(
% 2.05/1.70    spl1_30 | spl1_57),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f102,f1280,f990])).
% 2.05/1.70  thf(f102,plain,(
% 2.05/1.70    ((in @ sK4 @ sK2 @ mactual) = $true) | ($true = (hollywood @ sK3 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f100])).
% 2.05/1.70  thf(f1278,plain,(
% 2.05/1.70    spl1_56 | spl1_53),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f109,f1212,f1262])).
% 2.05/1.70  thf(f109,plain,(
% 2.05/1.70    ((hollywood @ sK2 @ mactual) = $true) | ((city @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f107])).
% 2.05/1.70  thf(f107,plain,(
% 2.05/1.70    (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))))) = $true) | ((city @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f105])).
% 2.05/1.70  thf(f105,plain,(
% 2.05/1.70    (((city @ sK3 @ mactual) & ((event @ sK6 @ mactual) & ((chevy @ sK7 @ mactual) & ((car @ sK7 @ mactual) & ((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))))))) = $true) | (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))))) = $true)),
% 2.05/1.70    inference(beta_eta_normalization,[status(thm)],[f104])).
% 2.05/1.70  thf(f104,plain,(
% 2.05/1.70    (((^[Y0 : $i]: ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK4 @ Y0 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))))))))))) @ sK10) = $true) | (((city @ sK3 @ mactual) & ((event @ sK6 @ mactual) & ((chevy @ sK7 @ mactual) & ((car @ sK7 @ mactual) & ((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))))))) = $true)),
% 2.05/1.70    inference(sigma_clausification,[status(thm)],[f74])).
% 2.05/1.70  thf(f74,plain,(
% 2.05/1.70    ($true = (?? @ $i @ (^[Y0 : $i]: ((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK4 @ Y0 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))))))))))))) | (((city @ sK3 @ mactual) & ((event @ sK6 @ mactual) & ((chevy @ sK7 @ mactual) & ((car @ sK7 @ mactual) & ((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f73])).
% 2.05/1.70  thf(f1277,plain,(
% 2.05/1.70    spl1_56 | spl1_51),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f111,f1182,f1262])).
% 2.05/1.70  thf(f111,plain,(
% 2.05/1.70    ((city @ sK3 @ mactual) = $true) | ($true = (city @ sK2 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f108])).
% 2.05/1.70  thf(f108,plain,(
% 2.05/1.70    ((city @ sK3 @ mactual) = $true) | (((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f107])).
% 2.05/1.70  thf(f1276,plain,(
% 2.05/1.70    spl1_50 | spl1_56),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f113,f1262,f1169])).
% 2.05/1.70  thf(f113,plain,(
% 2.05/1.70    ((city @ sK3 @ mactual) = $true) | ((event @ sK4 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f110])).
% 2.05/1.70  thf(f110,plain,(
% 2.05/1.70    ((city @ sK3 @ mactual) = $true) | (((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f108])).
% 2.05/1.70  thf(f1275,plain,(
% 2.05/1.70    spl1_49 | spl1_56),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f115,f1262,f1156])).
% 2.05/1.70  thf(f115,plain,(
% 2.05/1.70    ((city @ sK3 @ mactual) = $true) | ((street @ sK5 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f112])).
% 2.05/1.70  thf(f112,plain,(
% 2.05/1.70    ($true = ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))) | ((city @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f110])).
% 2.05/1.70  thf(f1274,plain,(
% 2.05/1.70    spl1_56 | spl1_48),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f117,f1143,f1262])).
% 2.05/1.70  thf(f117,plain,(
% 2.05/1.70    ($true = (way @ sK5 @ mactual)) | ((city @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f114])).
% 2.05/1.70  thf(f114,plain,(
% 2.05/1.70    (((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))) = $true) | ((city @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f112])).
% 2.05/1.70  thf(f1273,plain,(
% 2.05/1.70    spl1_56 | spl1_47),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f119,f1130,f1262])).
% 2.05/1.70  thf(f119,plain,(
% 2.05/1.70    ((lonely @ sK5 @ mactual) = $true) | ((city @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f116])).
% 2.05/1.70  thf(f116,plain,(
% 2.05/1.70    ((city @ sK3 @ mactual) = $true) | ($true = ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))))))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f114])).
% 2.05/1.70  thf(f1272,plain,(
% 2.05/1.70    spl1_56 | spl1_46),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f121,f1117,f1262])).
% 2.05/1.70  thf(f121,plain,(
% 2.05/1.70    ((city @ sK3 @ mactual) = $true) | ((chevy @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f118])).
% 2.05/1.70  thf(f118,plain,(
% 2.05/1.70    ((city @ sK3 @ mactual) = $true) | (((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f116])).
% 2.05/1.70  thf(f1271,plain,(
% 2.05/1.70    spl1_56 | spl1_45),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f123,f1104,f1262])).
% 2.05/1.70  thf(f123,plain,(
% 2.05/1.70    ($true = (car @ sK10 @ mactual)) | ((city @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f120])).
% 2.05/1.70  thf(f120,plain,(
% 2.05/1.70    ((city @ sK3 @ mactual) = $true) | (((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f118])).
% 2.05/1.70  thf(f1270,plain,(
% 2.05/1.70    spl1_43 | spl1_56),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f125,f1262,f1082])).
% 2.05/1.70  thf(f125,plain,(
% 2.05/1.70    ((white @ sK10 @ mactual) = $true) | ((city @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f122])).
% 2.05/1.70  thf(f122,plain,(
% 2.05/1.70    (((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))) = $true) | ((city @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f120])).
% 2.05/1.70  thf(f1269,plain,(
% 2.05/1.70    spl1_56 | spl1_41),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f127,f1062,f1262])).
% 2.05/1.70  thf(f127,plain,(
% 2.05/1.70    ((city @ sK3 @ mactual) = $true) | ((dirty @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f124])).
% 2.05/1.70  thf(f124,plain,(
% 2.05/1.70    ((city @ sK3 @ mactual) = $true) | (((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f122])).
% 2.05/1.70  thf(f1268,plain,(
% 2.05/1.70    spl1_38 | spl1_56),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f129,f1262,f1037])).
% 2.05/1.70  thf(f129,plain,(
% 2.05/1.70    ((old @ sK10 @ mactual) = $true) | ((city @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f126])).
% 2.05/1.70  thf(f126,plain,(
% 2.05/1.70    (((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))) = $true) | ((city @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f124])).
% 2.05/1.70  thf(f1267,plain,(
% 2.05/1.70    spl1_36 | spl1_56),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f131,f1262,f1022])).
% 2.05/1.70  thf(f131,plain,(
% 2.05/1.70    ((city @ sK3 @ mactual) = $true) | ((barrel @ sK4 @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f128])).
% 2.05/1.70  thf(f128,plain,(
% 2.05/1.70    ($true = ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))) | ((city @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f126])).
% 2.05/1.70  thf(f1266,plain,(
% 2.05/1.70    spl1_32 | spl1_56),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f133,f1262,f999])).
% 2.05/1.70  thf(f133,plain,(
% 2.05/1.70    ((city @ sK3 @ mactual) = $true) | ($true = (down @ sK4 @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f130])).
% 2.05/1.70  thf(f130,plain,(
% 2.05/1.70    (((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)) = $true) | ((city @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f128])).
% 2.05/1.70  thf(f1265,plain,(
% 2.05/1.70    spl1_30 | spl1_56),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f132,f1262,f990])).
% 2.05/1.70  thf(f132,plain,(
% 2.05/1.70    ((in @ sK4 @ sK2 @ mactual) = $true) | ((city @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f130])).
% 2.05/1.70  thf(f1260,plain,(
% 2.05/1.70    spl1_55 | spl1_53),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f137,f1212,f1244])).
% 2.05/1.70  thf(f137,plain,(
% 2.05/1.70    ((hollywood @ sK2 @ mactual) = $true) | ((event @ sK6 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f135])).
% 2.05/1.70  thf(f135,plain,(
% 2.05/1.70    ((event @ sK6 @ mactual) = $true) | (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f106])).
% 2.05/1.70  thf(f106,plain,(
% 2.05/1.70    (((event @ sK6 @ mactual) & ((chevy @ sK7 @ mactual) & ((car @ sK7 @ mactual) & ((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))))))))) = $true) | (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f105])).
% 2.05/1.70  thf(f1259,plain,(
% 2.05/1.70    spl1_51 | spl1_55),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f139,f1244,f1182])).
% 2.05/1.70  thf(f139,plain,(
% 2.05/1.70    ((event @ sK6 @ mactual) = $true) | ($true = (city @ sK2 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f136])).
% 2.05/1.70  thf(f136,plain,(
% 2.05/1.70    (((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))))))))) = $true) | ((event @ sK6 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f135])).
% 2.05/1.70  thf(f1258,plain,(
% 2.05/1.70    spl1_50 | spl1_55),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f141,f1244,f1169])).
% 2.05/1.70  thf(f141,plain,(
% 2.05/1.70    ((event @ sK4 @ mactual) = $true) | ((event @ sK6 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f138])).
% 2.05/1.70  thf(f138,plain,(
% 2.05/1.70    ((event @ sK6 @ mactual) = $true) | (((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f136])).
% 2.05/1.70  thf(f1257,plain,(
% 2.05/1.70    spl1_55 | spl1_49),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f143,f1156,f1244])).
% 2.05/1.70  thf(f143,plain,(
% 2.05/1.70    ((street @ sK5 @ mactual) = $true) | ((event @ sK6 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f140])).
% 2.05/1.70  thf(f140,plain,(
% 2.05/1.70    ((event @ sK6 @ mactual) = $true) | ($true = ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))))))))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f138])).
% 2.05/1.70  thf(f1256,plain,(
% 2.05/1.70    spl1_48 | spl1_55),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f145,f1244,f1143])).
% 2.05/1.70  thf(f145,plain,(
% 2.05/1.70    ($true = (way @ sK5 @ mactual)) | ((event @ sK6 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f142])).
% 2.05/1.70  thf(f142,plain,(
% 2.05/1.70    ((event @ sK6 @ mactual) = $true) | (((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f140])).
% 2.05/1.70  thf(f1255,plain,(
% 2.05/1.70    spl1_47 | spl1_55),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f147,f1244,f1130])).
% 2.05/1.70  thf(f147,plain,(
% 2.05/1.70    ((lonely @ sK5 @ mactual) = $true) | ((event @ sK6 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f144])).
% 2.05/1.70  thf(f144,plain,(
% 2.05/1.70    ((event @ sK6 @ mactual) = $true) | ($true = ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))))))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f142])).
% 2.05/1.70  thf(f1254,plain,(
% 2.05/1.70    spl1_55 | spl1_46),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f149,f1117,f1244])).
% 2.05/1.70  thf(f149,plain,(
% 2.05/1.70    ((chevy @ sK10 @ mactual) = $true) | ((event @ sK6 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f146])).
% 2.05/1.70  thf(f146,plain,(
% 2.05/1.70    (((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))) = $true) | ((event @ sK6 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f144])).
% 2.05/1.70  thf(f1253,plain,(
% 2.05/1.70    spl1_45 | spl1_55),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f151,f1244,f1104])).
% 2.05/1.70  thf(f151,plain,(
% 2.05/1.70    ($true = (car @ sK10 @ mactual)) | ((event @ sK6 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f148])).
% 2.05/1.70  thf(f148,plain,(
% 2.05/1.70    ((event @ sK6 @ mactual) = $true) | (((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f146])).
% 2.05/1.70  thf(f1252,plain,(
% 2.05/1.70    spl1_55 | spl1_43),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f153,f1082,f1244])).
% 2.05/1.70  thf(f153,plain,(
% 2.05/1.70    ((white @ sK10 @ mactual) = $true) | ((event @ sK6 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f150])).
% 2.05/1.70  thf(f150,plain,(
% 2.05/1.70    (((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))) = $true) | ((event @ sK6 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f148])).
% 2.05/1.70  thf(f1251,plain,(
% 2.05/1.70    spl1_55 | spl1_41),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f155,f1062,f1244])).
% 2.05/1.70  thf(f155,plain,(
% 2.05/1.70    ((dirty @ sK10 @ mactual) = $true) | ((event @ sK6 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f152])).
% 2.05/1.70  thf(f152,plain,(
% 2.05/1.70    (((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))) = $true) | ((event @ sK6 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f150])).
% 2.05/1.70  thf(f1250,plain,(
% 2.05/1.70    spl1_38 | spl1_55),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f157,f1244,f1037])).
% 2.05/1.70  thf(f157,plain,(
% 2.05/1.70    ((old @ sK10 @ mactual) = $true) | ((event @ sK6 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f154])).
% 2.05/1.70  thf(f154,plain,(
% 2.05/1.70    ((event @ sK6 @ mactual) = $true) | (((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f152])).
% 2.05/1.70  thf(f1249,plain,(
% 2.05/1.70    spl1_36 | spl1_55),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f159,f1244,f1022])).
% 2.05/1.70  thf(f159,plain,(
% 2.05/1.70    ((event @ sK6 @ mactual) = $true) | ((barrel @ sK4 @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f156])).
% 2.05/1.70  thf(f156,plain,(
% 2.05/1.70    ($true = ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))) | ((event @ sK6 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f154])).
% 2.05/1.70  thf(f1248,plain,(
% 2.05/1.70    spl1_32 | spl1_55),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f161,f1244,f999])).
% 2.05/1.70  thf(f161,plain,(
% 2.05/1.70    ($true = (down @ sK4 @ sK5 @ mactual)) | ((event @ sK6 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f158])).
% 2.05/1.70  thf(f158,plain,(
% 2.05/1.70    ((event @ sK6 @ mactual) = $true) | (((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f156])).
% 2.05/1.70  thf(f1247,plain,(
% 2.05/1.70    spl1_30 | spl1_55),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f160,f1244,f990])).
% 2.05/1.70  thf(f160,plain,(
% 2.05/1.70    ((event @ sK6 @ mactual) = $true) | ((in @ sK4 @ sK2 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f158])).
% 2.05/1.70  thf(f1242,plain,(
% 2.05/1.70    spl1_54 | spl1_53),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f165,f1212,f1226])).
% 2.05/1.70  thf(f165,plain,(
% 2.05/1.70    ((chevy @ sK7 @ mactual) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f163])).
% 2.05/1.70  thf(f163,plain,(
% 2.05/1.70    (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))))) = $true) | ((chevy @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f134])).
% 2.05/1.70  thf(f134,plain,(
% 2.05/1.70    (((chevy @ sK7 @ mactual) & ((car @ sK7 @ mactual) & ((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))))) = $true) | (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f106])).
% 2.05/1.70  thf(f1241,plain,(
% 2.05/1.70    spl1_51 | spl1_54),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f167,f1226,f1182])).
% 2.05/1.70  thf(f167,plain,(
% 2.05/1.70    ($true = (city @ sK2 @ mactual)) | ((chevy @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f164])).
% 2.05/1.70  thf(f164,plain,(
% 2.05/1.70    ((chevy @ sK7 @ mactual) = $true) | (((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f163])).
% 2.05/1.70  thf(f1240,plain,(
% 2.05/1.70    spl1_50 | spl1_54),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f169,f1226,f1169])).
% 2.05/1.70  thf(f169,plain,(
% 2.05/1.70    ((event @ sK4 @ mactual) = $true) | ((chevy @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f166])).
% 2.05/1.70  thf(f166,plain,(
% 2.05/1.70    (((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))) = $true) | ((chevy @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f164])).
% 2.05/1.70  thf(f1239,plain,(
% 2.05/1.70    spl1_54 | spl1_49),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f171,f1156,f1226])).
% 2.05/1.70  thf(f171,plain,(
% 2.05/1.70    ((chevy @ sK7 @ mactual) = $true) | ((street @ sK5 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f168])).
% 2.05/1.70  thf(f168,plain,(
% 2.05/1.70    ($true = ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))) | ((chevy @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f166])).
% 2.05/1.70  thf(f1238,plain,(
% 2.05/1.70    spl1_48 | spl1_54),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f173,f1226,f1143])).
% 2.05/1.70  thf(f173,plain,(
% 2.05/1.70    ($true = (way @ sK5 @ mactual)) | ((chevy @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f170])).
% 2.05/1.70  thf(f170,plain,(
% 2.05/1.70    (((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))) = $true) | ((chevy @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f168])).
% 2.05/1.70  thf(f1237,plain,(
% 2.05/1.70    spl1_54 | spl1_47),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f175,f1130,f1226])).
% 2.05/1.70  thf(f175,plain,(
% 2.05/1.70    ((chevy @ sK7 @ mactual) = $true) | ((lonely @ sK5 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f172])).
% 2.05/1.70  thf(f172,plain,(
% 2.05/1.70    ($true = ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))) | ((chevy @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f170])).
% 2.05/1.70  thf(f1236,plain,(
% 2.05/1.70    spl1_54 | spl1_46),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f177,f1117,f1226])).
% 2.05/1.70  thf(f177,plain,(
% 2.05/1.70    ((chevy @ sK10 @ mactual) = $true) | ((chevy @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f174])).
% 2.05/1.70  thf(f174,plain,(
% 2.05/1.70    ((chevy @ sK7 @ mactual) = $true) | (((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f172])).
% 2.05/1.70  thf(f1235,plain,(
% 2.05/1.70    spl1_45 | spl1_54),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f179,f1226,f1104])).
% 2.05/1.70  thf(f179,plain,(
% 2.05/1.70    ($true = (car @ sK10 @ mactual)) | ((chevy @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f176])).
% 2.05/1.70  thf(f176,plain,(
% 2.05/1.70    (((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))) = $true) | ((chevy @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f174])).
% 2.05/1.70  thf(f1234,plain,(
% 2.05/1.70    spl1_43 | spl1_54),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f181,f1226,f1082])).
% 2.05/1.70  thf(f181,plain,(
% 2.05/1.70    ((chevy @ sK7 @ mactual) = $true) | ((white @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f178])).
% 2.05/1.70  thf(f178,plain,(
% 2.05/1.70    (((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))) = $true) | ((chevy @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f176])).
% 2.05/1.70  thf(f1233,plain,(
% 2.05/1.70    spl1_41 | spl1_54),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f183,f1226,f1062])).
% 2.05/1.70  thf(f183,plain,(
% 2.05/1.70    ((chevy @ sK7 @ mactual) = $true) | ((dirty @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f180])).
% 2.05/1.70  thf(f180,plain,(
% 2.05/1.70    ((chevy @ sK7 @ mactual) = $true) | (((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f178])).
% 2.05/1.70  thf(f1232,plain,(
% 2.05/1.70    spl1_38 | spl1_54),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f185,f1226,f1037])).
% 2.05/1.70  thf(f185,plain,(
% 2.05/1.70    ((old @ sK10 @ mactual) = $true) | ((chevy @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f182])).
% 2.05/1.70  thf(f182,plain,(
% 2.05/1.70    (((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))) = $true) | ((chevy @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f180])).
% 2.05/1.70  thf(f1231,plain,(
% 2.05/1.70    spl1_54 | spl1_36),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f187,f1022,f1226])).
% 2.05/1.70  thf(f187,plain,(
% 2.05/1.70    ((barrel @ sK4 @ sK10 @ mactual) = $true) | ((chevy @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f184])).
% 2.05/1.70  thf(f184,plain,(
% 2.05/1.70    ((chevy @ sK7 @ mactual) = $true) | ($true = ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f182])).
% 2.05/1.70  thf(f1230,plain,(
% 2.05/1.70    spl1_32 | spl1_54),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f189,f1226,f999])).
% 2.05/1.70  thf(f189,plain,(
% 2.05/1.70    ($true = (down @ sK4 @ sK5 @ mactual)) | ((chevy @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f186])).
% 2.05/1.70  thf(f186,plain,(
% 2.05/1.70    (((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)) = $true) | ((chevy @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f184])).
% 2.05/1.70  thf(f1229,plain,(
% 2.05/1.70    spl1_54 | spl1_30),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f188,f990,f1226])).
% 2.05/1.70  thf(f188,plain,(
% 2.05/1.70    ((in @ sK4 @ sK2 @ mactual) = $true) | ((chevy @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f186])).
% 2.05/1.70  thf(f1224,plain,(
% 2.05/1.70    spl1_52 | spl1_53),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f193,f1212,f1195])).
% 2.05/1.70  thf(f193,plain,(
% 2.05/1.70    ((car @ sK7 @ mactual) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f191])).
% 2.05/1.70  thf(f191,plain,(
% 2.05/1.70    (((car @ sK7 @ mactual) & ((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))))))) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f162])).
% 2.05/1.70  thf(f162,plain,(
% 2.05/1.70    (((hollywood @ sK2 @ mactual) & ((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))))) = $true) | (((car @ sK7 @ mactual) & ((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f134])).
% 2.05/1.70  thf(f1223,plain,(
% 2.05/1.70    spl1_44 | spl1_53),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f195,f1212,f1094])).
% 2.05/1.70  thf(f195,plain,(
% 2.05/1.70    ((hollywood @ sK2 @ mactual) = $true) | ((white @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f192])).
% 2.05/1.70  thf(f192,plain,(
% 2.05/1.70    ((hollywood @ sK2 @ mactual) = $true) | (((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f191])).
% 2.05/1.70  thf(f1222,plain,(
% 2.05/1.70    spl1_42 | spl1_53),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f197,f1212,f1073])).
% 2.05/1.70  thf(f197,plain,(
% 2.05/1.70    ((dirty @ sK7 @ mactual) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f194])).
% 2.05/1.70  thf(f194,plain,(
% 2.05/1.70    (((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))))) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f192])).
% 2.05/1.70  thf(f1221,plain,(
% 2.05/1.70    spl1_53 | spl1_40),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f199,f1054,f1212])).
% 2.05/1.70  thf(f199,plain,(
% 2.05/1.70    ((hollywood @ sK2 @ mactual) = $true) | ((old @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f196])).
% 2.05/1.70  thf(f196,plain,(
% 2.05/1.70    ((hollywood @ sK2 @ mactual) = $true) | (((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f194])).
% 2.05/1.70  thf(f1220,plain,(
% 2.05/1.70    spl1_39 | spl1_53),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f201,f1212,f1046])).
% 2.05/1.70  thf(f201,plain,(
% 2.05/1.70    ((hollywood @ sK2 @ mactual) = $true) | ($true = (street @ sK8 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f198])).
% 2.05/1.70  thf(f198,plain,(
% 2.05/1.70    ((hollywood @ sK2 @ mactual) = $true) | (((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f196])).
% 2.05/1.70  thf(f1219,plain,(
% 2.05/1.70    spl1_53 | spl1_37),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f203,f1030,f1212])).
% 2.05/1.70  thf(f203,plain,(
% 2.05/1.70    ((way @ sK8 @ mactual) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f200])).
% 2.05/1.70  thf(f200,plain,(
% 2.05/1.70    ((hollywood @ sK2 @ mactual) = $true) | (((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f198])).
% 2.05/1.70  thf(f1218,plain,(
% 2.05/1.70    spl1_53 | spl1_35),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f205,f1016,f1212])).
% 2.05/1.70  thf(f205,plain,(
% 2.05/1.70    ((lonely @ sK8 @ mactual) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f202])).
% 2.05/1.70  thf(f202,plain,(
% 2.05/1.70    (((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f200])).
% 2.05/1.70  thf(f1217,plain,(
% 2.05/1.70    spl1_53 | spl1_34),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f207,f1010,f1212])).
% 2.05/1.70  thf(f207,plain,(
% 2.05/1.70    ((barrel @ sK6 @ sK7 @ mactual) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f204])).
% 2.05/1.70  thf(f204,plain,(
% 2.05/1.70    (((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f202])).
% 2.05/1.70  thf(f1216,plain,(
% 2.05/1.70    spl1_33 | spl1_53),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f209,f1212,f1004])).
% 2.05/1.70  thf(f209,plain,(
% 2.05/1.70    ((hollywood @ sK2 @ mactual) = $true) | ((down @ sK6 @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f206])).
% 2.05/1.70  thf(f206,plain,(
% 2.05/1.70    (((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)) = $true) | ((hollywood @ sK2 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f204])).
% 2.05/1.70  thf(f1215,plain,(
% 2.05/1.70    spl1_31 | spl1_53),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f208,f1212,f994])).
% 2.05/1.70  thf(f208,plain,(
% 2.05/1.70    ((hollywood @ sK2 @ mactual) = $true) | ((in @ sK6 @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f206])).
% 2.05/1.70  thf(f1210,plain,(
% 2.05/1.70    spl1_51 | spl1_52),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f213,f1195,f1182])).
% 2.05/1.70  thf(f213,plain,(
% 2.05/1.70    ((car @ sK7 @ mactual) = $true) | ($true = (city @ sK2 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f211])).
% 2.05/1.70  thf(f211,plain,(
% 2.05/1.70    ((car @ sK7 @ mactual) = $true) | (((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f190])).
% 2.05/1.70  thf(f190,plain,(
% 2.05/1.70    (((car @ sK7 @ mactual) & ((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))))))) = $true) | (((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f162])).
% 2.05/1.70  thf(f1209,plain,(
% 2.05/1.70    spl1_52 | spl1_50),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f215,f1169,f1195])).
% 2.05/1.70  thf(f215,plain,(
% 2.05/1.70    ((event @ sK4 @ mactual) = $true) | ((car @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f212])).
% 2.05/1.70  thf(f212,plain,(
% 2.05/1.70    ((car @ sK7 @ mactual) = $true) | (((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f211])).
% 2.05/1.70  thf(f1208,plain,(
% 2.05/1.70    spl1_49 | spl1_52),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f217,f1195,f1156])).
% 2.05/1.70  thf(f217,plain,(
% 2.05/1.70    ((car @ sK7 @ mactual) = $true) | ((street @ sK5 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f214])).
% 2.05/1.70  thf(f214,plain,(
% 2.05/1.70    ($true = ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))) | ((car @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f212])).
% 2.05/1.70  thf(f1207,plain,(
% 2.05/1.70    spl1_52 | spl1_48),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f219,f1143,f1195])).
% 2.05/1.70  thf(f219,plain,(
% 2.05/1.70    ($true = (way @ sK5 @ mactual)) | ((car @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f216])).
% 2.05/1.70  thf(f216,plain,(
% 2.05/1.70    (((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))) = $true) | ((car @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f214])).
% 2.05/1.70  thf(f1206,plain,(
% 2.05/1.70    spl1_47 | spl1_52),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f221,f1195,f1130])).
% 2.05/1.70  thf(f221,plain,(
% 2.05/1.70    ((lonely @ sK5 @ mactual) = $true) | ((car @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f218])).
% 2.05/1.70  thf(f218,plain,(
% 2.05/1.70    ((car @ sK7 @ mactual) = $true) | ($true = ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))))))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f216])).
% 2.05/1.70  thf(f1205,plain,(
% 2.05/1.70    spl1_52 | spl1_46),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f223,f1117,f1195])).
% 2.05/1.70  thf(f223,plain,(
% 2.05/1.70    ((car @ sK7 @ mactual) = $true) | ((chevy @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f220])).
% 2.05/1.70  thf(f220,plain,(
% 2.05/1.70    ((car @ sK7 @ mactual) = $true) | (((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f218])).
% 2.05/1.70  thf(f1204,plain,(
% 2.05/1.70    spl1_45 | spl1_52),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f225,f1195,f1104])).
% 2.05/1.70  thf(f225,plain,(
% 2.05/1.70    ((car @ sK7 @ mactual) = $true) | ($true = (car @ sK10 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f222])).
% 2.05/1.70  thf(f222,plain,(
% 2.05/1.70    (((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))) = $true) | ((car @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f220])).
% 2.05/1.70  thf(f1203,plain,(
% 2.05/1.70    spl1_43 | spl1_52),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f227,f1195,f1082])).
% 2.05/1.70  thf(f227,plain,(
% 2.05/1.70    ((white @ sK10 @ mactual) = $true) | ((car @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f224])).
% 2.05/1.70  thf(f224,plain,(
% 2.05/1.70    ((car @ sK7 @ mactual) = $true) | (((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f222])).
% 2.05/1.70  thf(f1202,plain,(
% 2.05/1.70    spl1_41 | spl1_52),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f229,f1195,f1062])).
% 2.05/1.70  thf(f229,plain,(
% 2.05/1.70    ((dirty @ sK10 @ mactual) = $true) | ((car @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f226])).
% 2.05/1.70  thf(f226,plain,(
% 2.05/1.70    (((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))) = $true) | ((car @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f224])).
% 2.05/1.70  thf(f1201,plain,(
% 2.05/1.70    spl1_38 | spl1_52),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f231,f1195,f1037])).
% 2.05/1.70  thf(f231,plain,(
% 2.05/1.70    ((old @ sK10 @ mactual) = $true) | ((car @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f228])).
% 2.05/1.70  thf(f228,plain,(
% 2.05/1.70    ((car @ sK7 @ mactual) = $true) | (((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f226])).
% 2.05/1.70  thf(f1200,plain,(
% 2.05/1.70    spl1_52 | spl1_36),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f233,f1022,f1195])).
% 2.05/1.70  thf(f233,plain,(
% 2.05/1.70    ((car @ sK7 @ mactual) = $true) | ((barrel @ sK4 @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f230])).
% 2.05/1.70  thf(f230,plain,(
% 2.05/1.70    ((car @ sK7 @ mactual) = $true) | ($true = ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f228])).
% 2.05/1.70  thf(f1199,plain,(
% 2.05/1.70    spl1_32 | spl1_52),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f235,f1195,f999])).
% 2.05/1.70  thf(f235,plain,(
% 2.05/1.70    ((car @ sK7 @ mactual) = $true) | ($true = (down @ sK4 @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f232])).
% 2.05/1.70  thf(f232,plain,(
% 2.05/1.70    (((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)) = $true) | ((car @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f230])).
% 2.05/1.70  thf(f1198,plain,(
% 2.05/1.70    spl1_52 | spl1_30),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f234,f990,f1195])).
% 2.05/1.70  thf(f234,plain,(
% 2.05/1.70    ((in @ sK4 @ sK2 @ mactual) = $true) | ((car @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f232])).
% 2.05/1.70  thf(f1193,plain,(
% 2.05/1.70    spl1_51 | spl1_44),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f239,f1094,f1182])).
% 2.05/1.70  thf(f239,plain,(
% 2.05/1.70    ($true = (city @ sK2 @ mactual)) | ((white @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f237])).
% 2.05/1.70  thf(f237,plain,(
% 2.05/1.70    (((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))) = $true) | ($true = (city @ sK2 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f210])).
% 2.05/1.70  thf(f210,plain,(
% 2.05/1.70    (((city @ sK2 @ mactual) & ((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))))))))) = $true) | (((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f190])).
% 2.05/1.70  thf(f1192,plain,(
% 2.05/1.70    spl1_51 | spl1_42),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f241,f1073,f1182])).
% 2.05/1.70  thf(f241,plain,(
% 2.05/1.70    ((dirty @ sK7 @ mactual) = $true) | ($true = (city @ sK2 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f238])).
% 2.05/1.70  thf(f238,plain,(
% 2.05/1.70    ($true = (city @ sK2 @ mactual)) | (((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f237])).
% 2.05/1.70  thf(f1191,plain,(
% 2.05/1.70    spl1_40 | spl1_51),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f243,f1182,f1054])).
% 2.05/1.70  thf(f243,plain,(
% 2.05/1.70    ((old @ sK7 @ mactual) = $true) | ($true = (city @ sK2 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f240])).
% 2.05/1.70  thf(f240,plain,(
% 2.05/1.70    (((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))) = $true) | ($true = (city @ sK2 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f238])).
% 2.05/1.70  thf(f1190,plain,(
% 2.05/1.70    spl1_39 | spl1_51),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f245,f1182,f1046])).
% 2.05/1.70  thf(f245,plain,(
% 2.05/1.70    ($true = (street @ sK8 @ mactual)) | ($true = (city @ sK2 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f242])).
% 2.05/1.70  thf(f242,plain,(
% 2.05/1.70    (((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))) = $true) | ($true = (city @ sK2 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f240])).
% 2.05/1.70  thf(f1189,plain,(
% 2.05/1.70    spl1_51 | spl1_37),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f247,f1030,f1182])).
% 2.05/1.70  thf(f247,plain,(
% 2.05/1.70    ((way @ sK8 @ mactual) = $true) | ($true = (city @ sK2 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f244])).
% 2.05/1.70  thf(f244,plain,(
% 2.05/1.70    ($true = (city @ sK2 @ mactual)) | (((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f242])).
% 2.05/1.70  thf(f1188,plain,(
% 2.05/1.70    spl1_51 | spl1_35),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f249,f1016,f1182])).
% 2.05/1.70  thf(f249,plain,(
% 2.05/1.70    ($true = (city @ sK2 @ mactual)) | ((lonely @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f246])).
% 2.05/1.70  thf(f246,plain,(
% 2.05/1.70    (((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))) = $true) | ($true = (city @ sK2 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f244])).
% 2.05/1.70  thf(f1187,plain,(
% 2.05/1.70    spl1_51 | spl1_34),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f251,f1010,f1182])).
% 2.05/1.70  thf(f251,plain,(
% 2.05/1.70    ((barrel @ sK6 @ sK7 @ mactual) = $true) | ($true = (city @ sK2 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f248])).
% 2.05/1.70  thf(f248,plain,(
% 2.05/1.70    ($true = (city @ sK2 @ mactual)) | (((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f246])).
% 2.05/1.70  thf(f1186,plain,(
% 2.05/1.70    spl1_51 | spl1_33),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f253,f1004,f1182])).
% 2.05/1.70  thf(f253,plain,(
% 2.05/1.70    ($true = (city @ sK2 @ mactual)) | ((down @ sK6 @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f250])).
% 2.05/1.70  thf(f250,plain,(
% 2.05/1.70    ($true = (city @ sK2 @ mactual)) | (((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f248])).
% 2.05/1.70  thf(f1185,plain,(
% 2.05/1.70    spl1_31 | spl1_51),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f252,f1182,f994])).
% 2.05/1.70  thf(f252,plain,(
% 2.05/1.70    ((in @ sK6 @ sK3 @ mactual) = $true) | ($true = (city @ sK2 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f250])).
% 2.05/1.70  thf(f1180,plain,(
% 2.05/1.70    spl1_44 | spl1_50),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f257,f1169,f1094])).
% 2.05/1.70  thf(f257,plain,(
% 2.05/1.70    ((white @ sK7 @ mactual) = $true) | ((event @ sK4 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f255])).
% 2.05/1.70  thf(f255,plain,(
% 2.05/1.70    (((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))) = $true) | ((event @ sK4 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f236])).
% 2.05/1.70  thf(f236,plain,(
% 2.05/1.70    (((event @ sK4 @ mactual) & ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))) = $true) | (((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f210])).
% 2.05/1.70  thf(f1179,plain,(
% 2.05/1.70    spl1_42 | spl1_50),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f259,f1169,f1073])).
% 2.05/1.70  thf(f259,plain,(
% 2.05/1.70    ((event @ sK4 @ mactual) = $true) | ((dirty @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f256])).
% 2.05/1.70  thf(f256,plain,(
% 2.05/1.70    (((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))))) = $true) | ((event @ sK4 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f255])).
% 2.05/1.70  thf(f1178,plain,(
% 2.05/1.70    spl1_40 | spl1_50),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f261,f1169,f1054])).
% 2.05/1.70  thf(f261,plain,(
% 2.05/1.70    ((old @ sK7 @ mactual) = $true) | ((event @ sK4 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f258])).
% 2.05/1.70  thf(f258,plain,(
% 2.05/1.70    ((event @ sK4 @ mactual) = $true) | (((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f256])).
% 2.05/1.70  thf(f1177,plain,(
% 2.05/1.70    spl1_39 | spl1_50),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f263,f1169,f1046])).
% 2.05/1.70  thf(f263,plain,(
% 2.05/1.70    ((event @ sK4 @ mactual) = $true) | ($true = (street @ sK8 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f260])).
% 2.05/1.70  thf(f260,plain,(
% 2.05/1.70    ((event @ sK4 @ mactual) = $true) | (((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f258])).
% 2.05/1.70  thf(f1176,plain,(
% 2.05/1.70    spl1_37 | spl1_50),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f265,f1169,f1030])).
% 2.05/1.70  thf(f265,plain,(
% 2.05/1.70    ((way @ sK8 @ mactual) = $true) | ((event @ sK4 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f262])).
% 2.05/1.70  thf(f262,plain,(
% 2.05/1.70    ((event @ sK4 @ mactual) = $true) | (((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f260])).
% 2.05/1.70  thf(f1175,plain,(
% 2.05/1.70    spl1_35 | spl1_50),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f267,f1169,f1016])).
% 2.05/1.70  thf(f267,plain,(
% 2.05/1.70    ((event @ sK4 @ mactual) = $true) | ((lonely @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f264])).
% 2.05/1.70  thf(f264,plain,(
% 2.05/1.70    ((event @ sK4 @ mactual) = $true) | (((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f262])).
% 2.05/1.70  thf(f1174,plain,(
% 2.05/1.70    spl1_34 | spl1_50),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f269,f1169,f1010])).
% 2.05/1.70  thf(f269,plain,(
% 2.05/1.70    ((event @ sK4 @ mactual) = $true) | ((barrel @ sK6 @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f266])).
% 2.05/1.70  thf(f266,plain,(
% 2.05/1.70    (((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))) = $true) | ((event @ sK4 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f264])).
% 2.05/1.70  thf(f1173,plain,(
% 2.05/1.70    spl1_33 | spl1_50),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f271,f1169,f1004])).
% 2.05/1.70  thf(f271,plain,(
% 2.05/1.70    ((event @ sK4 @ mactual) = $true) | ((down @ sK6 @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f268])).
% 2.05/1.70  thf(f268,plain,(
% 2.05/1.70    ((event @ sK4 @ mactual) = $true) | (((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f266])).
% 2.05/1.70  thf(f1172,plain,(
% 2.05/1.70    spl1_50 | spl1_31),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f270,f994,f1169])).
% 2.05/1.70  thf(f270,plain,(
% 2.05/1.70    ((in @ sK6 @ sK3 @ mactual) = $true) | ((event @ sK4 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f268])).
% 2.05/1.70  thf(f1167,plain,(
% 2.05/1.70    spl1_44 | spl1_49),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f275,f1156,f1094])).
% 2.05/1.70  thf(f275,plain,(
% 2.05/1.70    ((street @ sK5 @ mactual) = $true) | ((white @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f273])).
% 2.05/1.70  thf(f273,plain,(
% 2.05/1.70    (((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))) = $true) | ((street @ sK5 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f254])).
% 2.05/1.70  thf(f254,plain,(
% 2.05/1.70    ($true = ((street @ sK5 @ mactual) & ((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))))) | (((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f236])).
% 2.05/1.70  thf(f1166,plain,(
% 2.05/1.70    spl1_42 | spl1_49),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f277,f1156,f1073])).
% 2.05/1.70  thf(f277,plain,(
% 2.05/1.70    ((street @ sK5 @ mactual) = $true) | ((dirty @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f274])).
% 2.05/1.70  thf(f274,plain,(
% 2.05/1.70    (((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))))) = $true) | ((street @ sK5 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f273])).
% 2.05/1.70  thf(f1165,plain,(
% 2.05/1.70    spl1_49 | spl1_40),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f279,f1054,f1156])).
% 2.05/1.70  thf(f279,plain,(
% 2.05/1.70    ((old @ sK7 @ mactual) = $true) | ((street @ sK5 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f276])).
% 2.05/1.70  thf(f276,plain,(
% 2.05/1.70    (((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))) = $true) | ((street @ sK5 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f274])).
% 2.05/1.70  thf(f1164,plain,(
% 2.05/1.70    spl1_49 | spl1_39),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f281,f1046,f1156])).
% 2.05/1.70  thf(f281,plain,(
% 2.05/1.70    ((street @ sK5 @ mactual) = $true) | ($true = (street @ sK8 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f278])).
% 2.05/1.70  thf(f278,plain,(
% 2.05/1.70    (((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))) = $true) | ((street @ sK5 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f276])).
% 2.05/1.70  thf(f1163,plain,(
% 2.05/1.70    spl1_49 | spl1_37),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f283,f1030,f1156])).
% 2.05/1.70  thf(f283,plain,(
% 2.05/1.70    ((way @ sK8 @ mactual) = $true) | ((street @ sK5 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f280])).
% 2.05/1.70  thf(f280,plain,(
% 2.05/1.70    (((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))) = $true) | ((street @ sK5 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f278])).
% 2.05/1.70  thf(f1162,plain,(
% 2.05/1.70    spl1_35 | spl1_49),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f285,f1156,f1016])).
% 2.05/1.70  thf(f285,plain,(
% 2.05/1.70    ((street @ sK5 @ mactual) = $true) | ((lonely @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f282])).
% 2.05/1.70  thf(f282,plain,(
% 2.05/1.70    ((street @ sK5 @ mactual) = $true) | (((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f280])).
% 2.05/1.70  thf(f1161,plain,(
% 2.05/1.70    spl1_49 | spl1_34),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f287,f1010,f1156])).
% 2.05/1.70  thf(f287,plain,(
% 2.05/1.70    ((barrel @ sK6 @ sK7 @ mactual) = $true) | ((street @ sK5 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f284])).
% 2.05/1.70  thf(f284,plain,(
% 2.05/1.70    (((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))) = $true) | ((street @ sK5 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f282])).
% 2.05/1.70  thf(f1160,plain,(
% 2.05/1.70    spl1_33 | spl1_49),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f289,f1156,f1004])).
% 2.05/1.70  thf(f289,plain,(
% 2.05/1.70    ((street @ sK5 @ mactual) = $true) | ((down @ sK6 @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f286])).
% 2.05/1.70  thf(f286,plain,(
% 2.05/1.70    (((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)) = $true) | ((street @ sK5 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f284])).
% 2.05/1.70  thf(f1159,plain,(
% 2.05/1.70    spl1_49 | spl1_31),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f288,f994,f1156])).
% 2.05/1.70  thf(f288,plain,(
% 2.05/1.70    ((street @ sK5 @ mactual) = $true) | ((in @ sK6 @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f286])).
% 2.05/1.70  thf(f1154,plain,(
% 2.05/1.70    spl1_48 | spl1_44),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f293,f1094,f1143])).
% 2.05/1.70  thf(f293,plain,(
% 2.05/1.70    ((white @ sK7 @ mactual) = $true) | ($true = (way @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f291])).
% 2.05/1.70  thf(f291,plain,(
% 2.05/1.70    (((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))) = $true) | ($true = (way @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f272])).
% 2.05/1.70  thf(f272,plain,(
% 2.05/1.70    (((way @ sK5 @ mactual) & ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))) = $true) | (((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f254])).
% 2.05/1.70  thf(f1153,plain,(
% 2.05/1.70    spl1_48 | spl1_42),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f295,f1073,f1143])).
% 2.05/1.70  thf(f295,plain,(
% 2.05/1.70    ((dirty @ sK7 @ mactual) = $true) | ($true = (way @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f292])).
% 2.05/1.70  thf(f292,plain,(
% 2.05/1.70    (((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))))) = $true) | ($true = (way @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f291])).
% 2.05/1.70  thf(f1152,plain,(
% 2.05/1.70    spl1_48 | spl1_40),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f297,f1054,f1143])).
% 2.05/1.70  thf(f297,plain,(
% 2.05/1.70    ((old @ sK7 @ mactual) = $true) | ($true = (way @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f294])).
% 2.05/1.70  thf(f294,plain,(
% 2.05/1.70    (((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))) = $true) | ($true = (way @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f292])).
% 2.05/1.70  thf(f1151,plain,(
% 2.05/1.70    spl1_39 | spl1_48),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f299,f1143,f1046])).
% 2.05/1.70  thf(f299,plain,(
% 2.05/1.70    ($true = (way @ sK5 @ mactual)) | ($true = (street @ sK8 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f296])).
% 2.05/1.70  thf(f296,plain,(
% 2.05/1.70    (((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))) = $true) | ($true = (way @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f294])).
% 2.05/1.70  thf(f1150,plain,(
% 2.05/1.70    spl1_37 | spl1_48),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f301,f1143,f1030])).
% 2.05/1.70  thf(f301,plain,(
% 2.05/1.70    ($true = (way @ sK5 @ mactual)) | ((way @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f298])).
% 2.05/1.70  thf(f298,plain,(
% 2.05/1.70    (((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))) = $true) | ($true = (way @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f296])).
% 2.05/1.70  thf(f1149,plain,(
% 2.05/1.70    spl1_48 | spl1_35),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f303,f1016,f1143])).
% 2.05/1.70  thf(f303,plain,(
% 2.05/1.70    ((lonely @ sK8 @ mactual) = $true) | ($true = (way @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f300])).
% 2.05/1.70  thf(f300,plain,(
% 2.05/1.70    (((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))) = $true) | ($true = (way @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f298])).
% 2.05/1.70  thf(f1148,plain,(
% 2.05/1.70    spl1_34 | spl1_48),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f305,f1143,f1010])).
% 2.05/1.70  thf(f305,plain,(
% 2.05/1.70    ((barrel @ sK6 @ sK7 @ mactual) = $true) | ($true = (way @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f302])).
% 2.05/1.70  thf(f302,plain,(
% 2.05/1.70    (((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))) = $true) | ($true = (way @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f300])).
% 2.05/1.70  thf(f1147,plain,(
% 2.05/1.70    spl1_48 | spl1_33),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f307,f1004,f1143])).
% 2.05/1.70  thf(f307,plain,(
% 2.05/1.70    ((down @ sK6 @ sK8 @ mactual) = $true) | ($true = (way @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f304])).
% 2.05/1.70  thf(f304,plain,(
% 2.05/1.70    ($true = (way @ sK5 @ mactual)) | (((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f302])).
% 2.05/1.70  thf(f1146,plain,(
% 2.05/1.70    spl1_48 | spl1_31),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f306,f994,f1143])).
% 2.05/1.70  thf(f306,plain,(
% 2.05/1.70    ($true = (way @ sK5 @ mactual)) | ((in @ sK6 @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f304])).
% 2.05/1.70  thf(f1141,plain,(
% 2.05/1.70    spl1_47 | spl1_44),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f311,f1094,f1130])).
% 2.05/1.70  thf(f311,plain,(
% 2.05/1.70    ((white @ sK7 @ mactual) = $true) | ((lonely @ sK5 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f309])).
% 2.05/1.70  thf(f309,plain,(
% 2.05/1.70    (((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))) = $true) | ((lonely @ sK5 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f290])).
% 2.05/1.70  thf(f290,plain,(
% 2.05/1.70    ($true = ((lonely @ sK5 @ mactual) & ((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))))) | (((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f272])).
% 2.05/1.70  thf(f1140,plain,(
% 2.05/1.70    spl1_47 | spl1_42),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f313,f1073,f1130])).
% 2.05/1.70  thf(f313,plain,(
% 2.05/1.70    ((dirty @ sK7 @ mactual) = $true) | ((lonely @ sK5 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f310])).
% 2.05/1.70  thf(f310,plain,(
% 2.05/1.70    ((lonely @ sK5 @ mactual) = $true) | (((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f309])).
% 2.05/1.70  thf(f1139,plain,(
% 2.05/1.70    spl1_47 | spl1_40),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f315,f1054,f1130])).
% 2.05/1.70  thf(f315,plain,(
% 2.05/1.70    ((lonely @ sK5 @ mactual) = $true) | ((old @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f312])).
% 2.05/1.70  thf(f312,plain,(
% 2.05/1.70    ((lonely @ sK5 @ mactual) = $true) | (((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f310])).
% 2.05/1.70  thf(f1138,plain,(
% 2.05/1.70    spl1_47 | spl1_39),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f317,f1046,f1130])).
% 2.05/1.70  thf(f317,plain,(
% 2.05/1.70    ((lonely @ sK5 @ mactual) = $true) | ($true = (street @ sK8 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f314])).
% 2.05/1.70  thf(f314,plain,(
% 2.05/1.70    ((lonely @ sK5 @ mactual) = $true) | (((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f312])).
% 2.05/1.70  thf(f1137,plain,(
% 2.05/1.70    spl1_37 | spl1_47),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f319,f1130,f1030])).
% 2.05/1.70  thf(f319,plain,(
% 2.05/1.70    ((lonely @ sK5 @ mactual) = $true) | ((way @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f316])).
% 2.05/1.70  thf(f316,plain,(
% 2.05/1.70    ((lonely @ sK5 @ mactual) = $true) | (((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f314])).
% 2.05/1.70  thf(f1136,plain,(
% 2.05/1.70    spl1_35 | spl1_47),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f321,f1130,f1016])).
% 2.05/1.70  thf(f321,plain,(
% 2.05/1.70    ((lonely @ sK5 @ mactual) = $true) | ((lonely @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f318])).
% 2.05/1.70  thf(f318,plain,(
% 2.05/1.70    ((lonely @ sK5 @ mactual) = $true) | (((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f316])).
% 2.05/1.70  thf(f1135,plain,(
% 2.05/1.70    spl1_47 | spl1_34),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f323,f1010,f1130])).
% 2.05/1.70  thf(f323,plain,(
% 2.05/1.70    ((barrel @ sK6 @ sK7 @ mactual) = $true) | ((lonely @ sK5 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f320])).
% 2.05/1.70  thf(f320,plain,(
% 2.05/1.70    (((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))) = $true) | ((lonely @ sK5 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f318])).
% 2.05/1.70  thf(f1134,plain,(
% 2.05/1.70    spl1_47 | spl1_33),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f325,f1004,f1130])).
% 2.05/1.70  thf(f325,plain,(
% 2.05/1.70    ((lonely @ sK5 @ mactual) = $true) | ((down @ sK6 @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f322])).
% 2.05/1.70  thf(f322,plain,(
% 2.05/1.70    (((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)) = $true) | ((lonely @ sK5 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f320])).
% 2.05/1.70  thf(f1133,plain,(
% 2.05/1.70    spl1_47 | spl1_31),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f324,f994,f1130])).
% 2.05/1.70  thf(f324,plain,(
% 2.05/1.70    ((lonely @ sK5 @ mactual) = $true) | ((in @ sK6 @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f322])).
% 2.05/1.70  thf(f1128,plain,(
% 2.05/1.70    spl1_46 | spl1_44),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f329,f1094,f1117])).
% 2.05/1.70  thf(f329,plain,(
% 2.05/1.70    ((chevy @ sK10 @ mactual) = $true) | ((white @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f327])).
% 2.05/1.70  thf(f327,plain,(
% 2.05/1.70    ((chevy @ sK10 @ mactual) = $true) | (((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f308])).
% 2.05/1.70  thf(f308,plain,(
% 2.05/1.70    (((chevy @ sK10 @ mactual) & ((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))))) = $true) | (((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f290])).
% 2.05/1.70  thf(f1127,plain,(
% 2.05/1.70    spl1_46 | spl1_42),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f331,f1073,f1117])).
% 2.05/1.70  thf(f331,plain,(
% 2.05/1.70    ((chevy @ sK10 @ mactual) = $true) | ((dirty @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f328])).
% 2.05/1.70  thf(f328,plain,(
% 2.05/1.70    (((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))))) = $true) | ((chevy @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f327])).
% 2.05/1.70  thf(f1126,plain,(
% 2.05/1.70    spl1_46 | spl1_40),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f333,f1054,f1117])).
% 2.05/1.70  thf(f333,plain,(
% 2.05/1.70    ((old @ sK7 @ mactual) = $true) | ((chevy @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f330])).
% 2.05/1.70  thf(f330,plain,(
% 2.05/1.70    ((chevy @ sK10 @ mactual) = $true) | (((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f328])).
% 2.05/1.70  thf(f1125,plain,(
% 2.05/1.70    spl1_46 | spl1_39),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f335,f1046,f1117])).
% 2.05/1.70  thf(f335,plain,(
% 2.05/1.70    ($true = (street @ sK8 @ mactual)) | ((chevy @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f332])).
% 2.05/1.70  thf(f332,plain,(
% 2.05/1.70    ((chevy @ sK10 @ mactual) = $true) | (((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f330])).
% 2.05/1.70  thf(f1124,plain,(
% 2.05/1.70    spl1_37 | spl1_46),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f337,f1117,f1030])).
% 2.05/1.70  thf(f337,plain,(
% 2.05/1.70    ((way @ sK8 @ mactual) = $true) | ((chevy @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f334])).
% 2.05/1.70  thf(f334,plain,(
% 2.05/1.70    (((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))) = $true) | ((chevy @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f332])).
% 2.05/1.70  thf(f1123,plain,(
% 2.05/1.70    spl1_35 | spl1_46),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f339,f1117,f1016])).
% 2.05/1.70  thf(f339,plain,(
% 2.05/1.70    ((lonely @ sK8 @ mactual) = $true) | ((chevy @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f336])).
% 2.05/1.70  thf(f336,plain,(
% 2.05/1.70    ((chevy @ sK10 @ mactual) = $true) | (((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f334])).
% 2.05/1.70  thf(f1122,plain,(
% 2.05/1.70    spl1_34 | spl1_46),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f341,f1117,f1010])).
% 2.05/1.70  thf(f341,plain,(
% 2.05/1.70    ((barrel @ sK6 @ sK7 @ mactual) = $true) | ((chevy @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f338])).
% 2.05/1.70  thf(f338,plain,(
% 2.05/1.70    (((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))) = $true) | ((chevy @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f336])).
% 2.05/1.70  thf(f1121,plain,(
% 2.05/1.70    spl1_33 | spl1_46),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f343,f1117,f1004])).
% 2.05/1.70  thf(f343,plain,(
% 2.05/1.70    ((chevy @ sK10 @ mactual) = $true) | ((down @ sK6 @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f340])).
% 2.05/1.70  thf(f340,plain,(
% 2.05/1.70    ((chevy @ sK10 @ mactual) = $true) | (((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f338])).
% 2.05/1.70  thf(f1120,plain,(
% 2.05/1.70    spl1_31 | spl1_46),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f342,f1117,f994])).
% 2.05/1.70  thf(f342,plain,(
% 2.05/1.70    ((chevy @ sK10 @ mactual) = $true) | ((in @ sK6 @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f340])).
% 2.05/1.70  thf(f1115,plain,(
% 2.05/1.70    spl1_45 | spl1_44),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f347,f1094,f1104])).
% 2.05/1.70  thf(f347,plain,(
% 2.05/1.70    ((white @ sK7 @ mactual) = $true) | ($true = (car @ sK10 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f345])).
% 2.05/1.70  thf(f345,plain,(
% 2.05/1.70    (((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))) = $true) | ($true = (car @ sK10 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f326])).
% 2.05/1.70  thf(f326,plain,(
% 2.05/1.70    (((car @ sK10 @ mactual) & ((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))))) = $true) | (((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f308])).
% 2.05/1.70  thf(f1114,plain,(
% 2.05/1.70    spl1_42 | spl1_45),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f349,f1104,f1073])).
% 2.05/1.70  thf(f349,plain,(
% 2.05/1.70    ((dirty @ sK7 @ mactual) = $true) | ($true = (car @ sK10 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f346])).
% 2.05/1.70  thf(f346,plain,(
% 2.05/1.70    ($true = (car @ sK10 @ mactual)) | (((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f345])).
% 2.05/1.70  thf(f1113,plain,(
% 2.05/1.70    spl1_40 | spl1_45),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f351,f1104,f1054])).
% 2.05/1.70  thf(f351,plain,(
% 2.05/1.70    ((old @ sK7 @ mactual) = $true) | ($true = (car @ sK10 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f348])).
% 2.05/1.70  thf(f348,plain,(
% 2.05/1.70    (((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))) = $true) | ($true = (car @ sK10 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f346])).
% 2.05/1.70  thf(f1112,plain,(
% 2.05/1.70    spl1_39 | spl1_45),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f353,f1104,f1046])).
% 2.05/1.70  thf(f353,plain,(
% 2.05/1.70    ($true = (street @ sK8 @ mactual)) | ($true = (car @ sK10 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f350])).
% 2.05/1.70  thf(f350,plain,(
% 2.05/1.70    ($true = (car @ sK10 @ mactual)) | (((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f348])).
% 2.05/1.70  thf(f1111,plain,(
% 2.05/1.70    spl1_37 | spl1_45),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f355,f1104,f1030])).
% 2.05/1.70  thf(f355,plain,(
% 2.05/1.70    ($true = (car @ sK10 @ mactual)) | ((way @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f352])).
% 2.05/1.70  thf(f352,plain,(
% 2.05/1.70    ($true = (car @ sK10 @ mactual)) | (((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f350])).
% 2.05/1.70  thf(f1110,plain,(
% 2.05/1.70    spl1_45 | spl1_35),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f357,f1016,f1104])).
% 2.05/1.70  thf(f357,plain,(
% 2.05/1.70    ($true = (car @ sK10 @ mactual)) | ((lonely @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f354])).
% 2.05/1.70  thf(f354,plain,(
% 2.05/1.70    (((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))) = $true) | ($true = (car @ sK10 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f352])).
% 2.05/1.70  thf(f1109,plain,(
% 2.05/1.70    spl1_45 | spl1_34),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f359,f1010,f1104])).
% 2.05/1.70  thf(f359,plain,(
% 2.05/1.70    ((barrel @ sK6 @ sK7 @ mactual) = $true) | ($true = (car @ sK10 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f356])).
% 2.05/1.70  thf(f356,plain,(
% 2.05/1.70    (((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))) = $true) | ($true = (car @ sK10 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f354])).
% 2.05/1.70  thf(f1108,plain,(
% 2.05/1.70    spl1_33 | spl1_45),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f361,f1104,f1004])).
% 2.05/1.70  thf(f361,plain,(
% 2.05/1.70    ((down @ sK6 @ sK8 @ mactual) = $true) | ($true = (car @ sK10 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f358])).
% 2.05/1.70  thf(f358,plain,(
% 2.05/1.70    (((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)) = $true) | ($true = (car @ sK10 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f356])).
% 2.05/1.70  thf(f1107,plain,(
% 2.05/1.70    spl1_31 | spl1_45),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f360,f1104,f994])).
% 2.05/1.70  thf(f360,plain,(
% 2.05/1.70    ((in @ sK6 @ sK3 @ mactual) = $true) | ($true = (car @ sK10 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f358])).
% 2.05/1.70  thf(f1102,plain,(
% 2.05/1.70    spl1_43 | spl1_44),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f365,f1094,f1082])).
% 2.05/1.70  thf(f365,plain,(
% 2.05/1.70    ((white @ sK7 @ mactual) = $true) | ((white @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f363])).
% 2.05/1.70  thf(f363,plain,(
% 2.05/1.70    ((white @ sK7 @ mactual) = $true) | (((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f344])).
% 2.05/1.70  thf(f344,plain,(
% 2.05/1.70    (((white @ sK7 @ mactual) & ((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))))) = $true) | (((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f326])).
% 2.05/1.70  thf(f1101,plain,(
% 2.05/1.70    spl1_44 | spl1_41),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f367,f1062,f1094])).
% 2.05/1.70  thf(f367,plain,(
% 2.05/1.70    ((white @ sK7 @ mactual) = $true) | ((dirty @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f364])).
% 2.05/1.70  thf(f364,plain,(
% 2.05/1.70    (((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))) = $true) | ((white @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f363])).
% 2.05/1.70  thf(f1100,plain,(
% 2.05/1.70    spl1_38 | spl1_44),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f369,f1094,f1037])).
% 2.05/1.70  thf(f369,plain,(
% 2.05/1.70    ((white @ sK7 @ mactual) = $true) | ((old @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f366])).
% 2.05/1.70  thf(f366,plain,(
% 2.05/1.70    ((white @ sK7 @ mactual) = $true) | (((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f364])).
% 2.05/1.70  thf(f1099,plain,(
% 2.05/1.70    spl1_36 | spl1_44),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f371,f1094,f1022])).
% 2.05/1.70  thf(f371,plain,(
% 2.05/1.70    ((white @ sK7 @ mactual) = $true) | ((barrel @ sK4 @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f368])).
% 2.05/1.70  thf(f368,plain,(
% 2.05/1.70    ((white @ sK7 @ mactual) = $true) | ($true = ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f366])).
% 2.05/1.70  thf(f1098,plain,(
% 2.05/1.70    spl1_32 | spl1_44),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f373,f1094,f999])).
% 2.05/1.70  thf(f373,plain,(
% 2.05/1.70    ((white @ sK7 @ mactual) = $true) | ($true = (down @ sK4 @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f370])).
% 2.05/1.70  thf(f370,plain,(
% 2.05/1.70    (((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)) = $true) | ((white @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f368])).
% 2.05/1.70  thf(f1097,plain,(
% 2.05/1.70    spl1_44 | spl1_30),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f372,f990,f1094])).
% 2.05/1.70  thf(f372,plain,(
% 2.05/1.70    ((white @ sK7 @ mactual) = $true) | ((in @ sK4 @ sK2 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f370])).
% 2.05/1.70  thf(f1092,plain,(
% 2.05/1.70    spl1_42 | spl1_43),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f377,f1082,f1073])).
% 2.05/1.70  thf(f377,plain,(
% 2.05/1.70    ((white @ sK10 @ mactual) = $true) | ((dirty @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f375])).
% 2.05/1.70  thf(f375,plain,(
% 2.05/1.70    ((white @ sK10 @ mactual) = $true) | (((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f362])).
% 2.05/1.70  thf(f362,plain,(
% 2.05/1.70    (((white @ sK10 @ mactual) & ((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))))) = $true) | (((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f344])).
% 2.05/1.70  thf(f1091,plain,(
% 2.05/1.70    spl1_40 | spl1_43),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f379,f1082,f1054])).
% 2.05/1.70  thf(f379,plain,(
% 2.05/1.70    ((white @ sK10 @ mactual) = $true) | ((old @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f376])).
% 2.05/1.70  thf(f376,plain,(
% 2.05/1.70    (((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))) = $true) | ((white @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f375])).
% 2.05/1.70  thf(f1090,plain,(
% 2.05/1.70    spl1_43 | spl1_39),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f381,f1046,f1082])).
% 2.05/1.70  thf(f381,plain,(
% 2.05/1.70    ((white @ sK10 @ mactual) = $true) | ($true = (street @ sK8 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f378])).
% 2.05/1.70  thf(f378,plain,(
% 2.05/1.70    ((white @ sK10 @ mactual) = $true) | (((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f376])).
% 2.05/1.70  thf(f1089,plain,(
% 2.05/1.70    spl1_37 | spl1_43),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f383,f1082,f1030])).
% 2.05/1.70  thf(f383,plain,(
% 2.05/1.70    ((white @ sK10 @ mactual) = $true) | ((way @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f380])).
% 2.05/1.70  thf(f380,plain,(
% 2.05/1.70    ((white @ sK10 @ mactual) = $true) | (((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f378])).
% 2.05/1.70  thf(f1088,plain,(
% 2.05/1.70    spl1_35 | spl1_43),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f385,f1082,f1016])).
% 2.05/1.70  thf(f385,plain,(
% 2.05/1.70    ((white @ sK10 @ mactual) = $true) | ((lonely @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f382])).
% 2.05/1.70  thf(f382,plain,(
% 2.05/1.70    (((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))) = $true) | ((white @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f380])).
% 2.05/1.70  thf(f1087,plain,(
% 2.05/1.70    spl1_34 | spl1_43),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f387,f1082,f1010])).
% 2.05/1.70  thf(f387,plain,(
% 2.05/1.70    ((white @ sK10 @ mactual) = $true) | ((barrel @ sK6 @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f384])).
% 2.05/1.70  thf(f384,plain,(
% 2.05/1.70    (((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))) = $true) | ((white @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f382])).
% 2.05/1.70  thf(f1086,plain,(
% 2.05/1.70    spl1_43 | spl1_33),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f389,f1004,f1082])).
% 2.05/1.70  thf(f389,plain,(
% 2.05/1.70    ((down @ sK6 @ sK8 @ mactual) = $true) | ((white @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f386])).
% 2.05/1.70  thf(f386,plain,(
% 2.05/1.70    ((white @ sK10 @ mactual) = $true) | (((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f384])).
% 2.05/1.70  thf(f1085,plain,(
% 2.05/1.70    spl1_31 | spl1_43),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f388,f1082,f994])).
% 2.05/1.70  thf(f388,plain,(
% 2.05/1.70    ((white @ sK10 @ mactual) = $true) | ((in @ sK6 @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f386])).
% 2.05/1.70  thf(f1080,plain,(
% 2.05/1.70    spl1_42 | spl1_41),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f393,f1062,f1073])).
% 2.05/1.70  thf(f393,plain,(
% 2.05/1.70    ((dirty @ sK7 @ mactual) = $true) | ((dirty @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f391])).
% 2.05/1.70  thf(f391,plain,(
% 2.05/1.70    (((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))) = $true) | ((dirty @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f374])).
% 2.05/1.70  thf(f374,plain,(
% 2.05/1.70    (((dirty @ sK7 @ mactual) & ((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))))) = $true) | (((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f362])).
% 2.05/1.70  thf(f1079,plain,(
% 2.05/1.70    spl1_38 | spl1_42),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f395,f1073,f1037])).
% 2.05/1.70  thf(f395,plain,(
% 2.05/1.70    ((old @ sK10 @ mactual) = $true) | ((dirty @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f392])).
% 2.05/1.70  thf(f392,plain,(
% 2.05/1.70    (((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))) = $true) | ((dirty @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f391])).
% 2.05/1.70  thf(f1078,plain,(
% 2.05/1.70    spl1_42 | spl1_36),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f397,f1022,f1073])).
% 2.05/1.70  thf(f397,plain,(
% 2.05/1.70    ((dirty @ sK7 @ mactual) = $true) | ((barrel @ sK4 @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f394])).
% 2.05/1.70  thf(f394,plain,(
% 2.05/1.70    ((dirty @ sK7 @ mactual) = $true) | ($true = ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f392])).
% 2.05/1.70  thf(f1077,plain,(
% 2.05/1.70    spl1_32 | spl1_42),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f399,f1073,f999])).
% 2.05/1.70  thf(f399,plain,(
% 2.05/1.70    ((dirty @ sK7 @ mactual) = $true) | ($true = (down @ sK4 @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f396])).
% 2.05/1.70  thf(f396,plain,(
% 2.05/1.70    (((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)) = $true) | ((dirty @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f394])).
% 2.05/1.70  thf(f1076,plain,(
% 2.05/1.70    spl1_42 | spl1_30),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f398,f990,f1073])).
% 2.05/1.70  thf(f398,plain,(
% 2.05/1.70    ((in @ sK4 @ sK2 @ mactual) = $true) | ((dirty @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f396])).
% 2.05/1.70  thf(f1071,plain,(
% 2.05/1.70    spl1_40 | spl1_41),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f403,f1062,f1054])).
% 2.05/1.70  thf(f403,plain,(
% 2.05/1.70    ((dirty @ sK10 @ mactual) = $true) | ((old @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f401])).
% 2.05/1.70  thf(f401,plain,(
% 2.05/1.70    ((dirty @ sK10 @ mactual) = $true) | (((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f390])).
% 2.05/1.70  thf(f390,plain,(
% 2.05/1.70    (((dirty @ sK10 @ mactual) & ((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))) = $true) | (((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f374])).
% 2.05/1.70  thf(f1070,plain,(
% 2.05/1.70    spl1_39 | spl1_41),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f405,f1062,f1046])).
% 2.05/1.70  thf(f405,plain,(
% 2.05/1.70    ($true = (street @ sK8 @ mactual)) | ((dirty @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f402])).
% 2.05/1.70  thf(f402,plain,(
% 2.05/1.70    (((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))) = $true) | ((dirty @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f401])).
% 2.05/1.70  thf(f1069,plain,(
% 2.05/1.70    spl1_37 | spl1_41),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f407,f1062,f1030])).
% 2.05/1.70  thf(f407,plain,(
% 2.05/1.70    ((dirty @ sK10 @ mactual) = $true) | ((way @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f404])).
% 2.05/1.70  thf(f404,plain,(
% 2.05/1.70    ((dirty @ sK10 @ mactual) = $true) | (((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f402])).
% 2.05/1.70  thf(f1068,plain,(
% 2.05/1.70    spl1_35 | spl1_41),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f409,f1062,f1016])).
% 2.05/1.70  thf(f409,plain,(
% 2.05/1.70    ((lonely @ sK8 @ mactual) = $true) | ((dirty @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f406])).
% 2.05/1.70  thf(f406,plain,(
% 2.05/1.70    (((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))) = $true) | ((dirty @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f404])).
% 2.05/1.70  thf(f1067,plain,(
% 2.05/1.70    spl1_41 | spl1_34),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f411,f1010,f1062])).
% 2.05/1.70  thf(f411,plain,(
% 2.05/1.70    ((dirty @ sK10 @ mactual) = $true) | ((barrel @ sK6 @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f408])).
% 2.05/1.70  thf(f408,plain,(
% 2.05/1.70    ((dirty @ sK10 @ mactual) = $true) | (((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f406])).
% 2.05/1.70  thf(f1066,plain,(
% 2.05/1.70    spl1_33 | spl1_41),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f413,f1062,f1004])).
% 2.05/1.70  thf(f413,plain,(
% 2.05/1.70    ((dirty @ sK10 @ mactual) = $true) | ((down @ sK6 @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f410])).
% 2.05/1.70  thf(f410,plain,(
% 2.05/1.70    (((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)) = $true) | ((dirty @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f408])).
% 2.05/1.70  thf(f1065,plain,(
% 2.05/1.70    spl1_41 | spl1_31),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f412,f994,f1062])).
% 2.05/1.70  thf(f412,plain,(
% 2.05/1.70    ((dirty @ sK10 @ mactual) = $true) | ((in @ sK6 @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f410])).
% 2.05/1.70  thf(f1060,plain,(
% 2.05/1.70    spl1_40 | spl1_38),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f417,f1037,f1054])).
% 2.05/1.70  thf(f417,plain,(
% 2.05/1.70    ((old @ sK10 @ mactual) = $true) | ((old @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f415])).
% 2.05/1.70  thf(f415,plain,(
% 2.05/1.70    (((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))) = $true) | ((old @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f400])).
% 2.05/1.70  thf(f400,plain,(
% 2.05/1.70    (((old @ sK7 @ mactual) & ((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))))) = $true) | (((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f390])).
% 2.05/1.70  thf(f1059,plain,(
% 2.05/1.70    spl1_36 | spl1_40),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f419,f1054,f1022])).
% 2.05/1.70  thf(f419,plain,(
% 2.05/1.70    ((barrel @ sK4 @ sK10 @ mactual) = $true) | ((old @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f416])).
% 2.05/1.70  thf(f416,plain,(
% 2.05/1.70    ((old @ sK7 @ mactual) = $true) | ($true = ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f415])).
% 2.05/1.70  thf(f1058,plain,(
% 2.05/1.70    spl1_40 | spl1_32),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f421,f999,f1054])).
% 2.05/1.70  thf(f421,plain,(
% 2.05/1.70    ((old @ sK7 @ mactual) = $true) | ($true = (down @ sK4 @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f418])).
% 2.05/1.70  thf(f418,plain,(
% 2.05/1.70    (((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)) = $true) | ((old @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f416])).
% 2.05/1.70  thf(f1057,plain,(
% 2.05/1.70    spl1_30 | spl1_40),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f420,f1054,f990])).
% 2.05/1.70  thf(f420,plain,(
% 2.05/1.70    ((old @ sK7 @ mactual) = $true) | ((in @ sK4 @ sK2 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f418])).
% 2.05/1.70  thf(f1052,plain,(
% 2.05/1.70    spl1_39 | spl1_38),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f425,f1037,f1046])).
% 2.05/1.70  thf(f425,plain,(
% 2.05/1.70    ($true = (street @ sK8 @ mactual)) | ((old @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f423])).
% 2.05/1.70  thf(f423,plain,(
% 2.05/1.70    ($true = (street @ sK8 @ mactual)) | (((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f414])).
% 2.05/1.70  thf(f414,plain,(
% 2.05/1.70    (((street @ sK8 @ mactual) & ((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))))) = $true) | (((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f400])).
% 2.05/1.70  thf(f1051,plain,(
% 2.05/1.70    spl1_36 | spl1_39),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f427,f1046,f1022])).
% 2.05/1.70  thf(f427,plain,(
% 2.05/1.70    ((barrel @ sK4 @ sK10 @ mactual) = $true) | ($true = (street @ sK8 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f424])).
% 2.05/1.70  thf(f424,plain,(
% 2.05/1.70    ($true = (street @ sK8 @ mactual)) | ($true = ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f423])).
% 2.05/1.70  thf(f1050,plain,(
% 2.05/1.70    spl1_32 | spl1_39),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f429,f1046,f999])).
% 2.05/1.70  thf(f429,plain,(
% 2.05/1.70    ($true = (street @ sK8 @ mactual)) | ($true = (down @ sK4 @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f426])).
% 2.05/1.70  thf(f426,plain,(
% 2.05/1.70    (((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)) = $true) | ($true = (street @ sK8 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f424])).
% 2.05/1.70  thf(f1049,plain,(
% 2.05/1.70    spl1_30 | spl1_39),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f428,f1046,f990])).
% 2.05/1.70  thf(f428,plain,(
% 2.05/1.70    ((in @ sK4 @ sK2 @ mactual) = $true) | ($true = (street @ sK8 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f426])).
% 2.05/1.70  thf(f1044,plain,(
% 2.05/1.70    spl1_37 | spl1_38),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f433,f1037,f1030])).
% 2.05/1.70  thf(f433,plain,(
% 2.05/1.70    ((way @ sK8 @ mactual) = $true) | ((old @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f431])).
% 2.05/1.70  thf(f431,plain,(
% 2.05/1.70    (((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))) = $true) | ((old @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f422])).
% 2.05/1.70  thf(f422,plain,(
% 2.05/1.70    (((old @ sK10 @ mactual) & ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))) = $true) | (((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f414])).
% 2.05/1.70  thf(f1043,plain,(
% 2.05/1.70    spl1_35 | spl1_38),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f435,f1037,f1016])).
% 2.05/1.70  thf(f435,plain,(
% 2.05/1.70    ((old @ sK10 @ mactual) = $true) | ((lonely @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f432])).
% 2.05/1.70  thf(f432,plain,(
% 2.05/1.70    (((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))) = $true) | ((old @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f431])).
% 2.05/1.70  thf(f1042,plain,(
% 2.05/1.70    spl1_38 | spl1_34),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f437,f1010,f1037])).
% 2.05/1.70  thf(f437,plain,(
% 2.05/1.70    ((old @ sK10 @ mactual) = $true) | ((barrel @ sK6 @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f434])).
% 2.05/1.70  thf(f434,plain,(
% 2.05/1.70    (((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))) = $true) | ((old @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f432])).
% 2.05/1.70  thf(f1041,plain,(
% 2.05/1.70    spl1_33 | spl1_38),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f439,f1037,f1004])).
% 2.05/1.70  thf(f439,plain,(
% 2.05/1.70    ((old @ sK10 @ mactual) = $true) | ((down @ sK6 @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f436])).
% 2.05/1.70  thf(f436,plain,(
% 2.05/1.70    (((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)) = $true) | ((old @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f434])).
% 2.05/1.70  thf(f1040,plain,(
% 2.05/1.70    spl1_38 | spl1_31),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f438,f994,f1037])).
% 2.05/1.70  thf(f438,plain,(
% 2.05/1.70    ((old @ sK10 @ mactual) = $true) | ((in @ sK6 @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f436])).
% 2.05/1.70  thf(f1035,plain,(
% 2.05/1.70    spl1_36 | spl1_37),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f443,f1030,f1022])).
% 2.05/1.70  thf(f443,plain,(
% 2.05/1.70    ((barrel @ sK4 @ sK10 @ mactual) = $true) | ((way @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f441])).
% 2.05/1.70  thf(f441,plain,(
% 2.05/1.70    ((way @ sK8 @ mactual) = $true) | ($true = ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f430])).
% 2.05/1.70  thf(f430,plain,(
% 2.05/1.70    (((way @ sK8 @ mactual) & ((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))))) = $true) | ($true = ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual))))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f422])).
% 2.05/1.70  thf(f1034,plain,(
% 2.05/1.70    spl1_32 | spl1_37),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f445,f1030,f999])).
% 2.05/1.70  thf(f445,plain,(
% 2.05/1.70    ((way @ sK8 @ mactual) = $true) | ($true = (down @ sK4 @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f442])).
% 2.05/1.70  thf(f442,plain,(
% 2.05/1.70    ((way @ sK8 @ mactual) = $true) | (((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f441])).
% 2.05/1.70  thf(f1033,plain,(
% 2.05/1.70    spl1_30 | spl1_37),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f444,f1030,f990])).
% 2.05/1.70  thf(f444,plain,(
% 2.05/1.70    ((in @ sK4 @ sK2 @ mactual) = $true) | ((way @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f442])).
% 2.05/1.70  thf(f1028,plain,(
% 2.05/1.70    spl1_35 | spl1_36),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f449,f1022,f1016])).
% 2.05/1.70  thf(f449,plain,(
% 2.05/1.70    ((lonely @ sK8 @ mactual) = $true) | ((barrel @ sK4 @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f447])).
% 2.05/1.70  thf(f447,plain,(
% 2.05/1.70    (((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))) = $true) | ((barrel @ sK4 @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f440])).
% 2.05/1.70  thf(f440,plain,(
% 2.05/1.70    ($true = ((barrel @ sK4 @ sK10 @ mactual) & ((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)))) | (((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f430])).
% 2.05/1.70  thf(f1027,plain,(
% 2.05/1.70    spl1_36 | spl1_34),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f451,f1010,f1022])).
% 2.05/1.70  thf(f451,plain,(
% 2.05/1.70    ((barrel @ sK4 @ sK10 @ mactual) = $true) | ((barrel @ sK6 @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f448])).
% 2.05/1.70  thf(f448,plain,(
% 2.05/1.70    (((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))) = $true) | ((barrel @ sK4 @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f447])).
% 2.05/1.70  thf(f1026,plain,(
% 2.05/1.70    spl1_33 | spl1_36),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f453,f1022,f1004])).
% 2.05/1.70  thf(f453,plain,(
% 2.05/1.70    ((down @ sK6 @ sK8 @ mactual) = $true) | ((barrel @ sK4 @ sK10 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f450])).
% 2.05/1.70  thf(f450,plain,(
% 2.05/1.70    ((barrel @ sK4 @ sK10 @ mactual) = $true) | (((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f448])).
% 2.05/1.70  thf(f1025,plain,(
% 2.05/1.70    spl1_36 | spl1_31),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f452,f994,f1022])).
% 2.05/1.70  thf(f452,plain,(
% 2.05/1.70    ((barrel @ sK4 @ sK10 @ mactual) = $true) | ((in @ sK6 @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f450])).
% 2.05/1.70  thf(f1020,plain,(
% 2.05/1.70    spl1_32 | spl1_35),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f457,f1016,f999])).
% 2.05/1.70  thf(f457,plain,(
% 2.05/1.70    ($true = (down @ sK4 @ sK5 @ mactual)) | ((lonely @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f455])).
% 2.05/1.70  thf(f455,plain,(
% 2.05/1.70    ((lonely @ sK8 @ mactual) = $true) | (((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f446])).
% 2.05/1.70  thf(f446,plain,(
% 2.05/1.70    (((lonely @ sK8 @ mactual) & ((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)))) = $true) | (((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f440])).
% 2.05/1.70  thf(f1019,plain,(
% 2.05/1.70    spl1_30 | spl1_35),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f456,f1016,f990])).
% 2.05/1.70  thf(f456,plain,(
% 2.05/1.70    ((in @ sK4 @ sK2 @ mactual) = $true) | ((lonely @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f455])).
% 2.05/1.70  thf(f1014,plain,(
% 2.05/1.70    spl1_32 | spl1_34),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f461,f1010,f999])).
% 2.05/1.70  thf(f461,plain,(
% 2.05/1.70    ((barrel @ sK6 @ sK7 @ mactual) = $true) | ($true = (down @ sK4 @ sK5 @ mactual))),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f459])).
% 2.05/1.70  thf(f459,plain,(
% 2.05/1.70    ((barrel @ sK6 @ sK7 @ mactual) = $true) | (((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f454])).
% 2.05/1.70  thf(f454,plain,(
% 2.05/1.70    (((barrel @ sK6 @ sK7 @ mactual) & ((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual))) = $true) | (((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f446])).
% 2.05/1.70  thf(f1013,plain,(
% 2.05/1.70    spl1_34 | spl1_30),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f460,f990,f1010])).
% 2.05/1.70  thf(f460,plain,(
% 2.05/1.70    ((in @ sK4 @ sK2 @ mactual) = $true) | ((barrel @ sK6 @ sK7 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f459])).
% 2.05/1.70  thf(f1008,plain,(
% 2.05/1.70    spl1_33 | spl1_32),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f465,f999,f1004])).
% 2.05/1.70  thf(f465,plain,(
% 2.05/1.70    ($true = (down @ sK4 @ sK5 @ mactual)) | ((down @ sK6 @ sK8 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f463])).
% 2.05/1.70  thf(f463,plain,(
% 2.05/1.70    ((down @ sK6 @ sK8 @ mactual) = $true) | (((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f458])).
% 2.05/1.70  thf(f458,plain,(
% 2.05/1.70    (((down @ sK6 @ sK8 @ mactual) & (in @ sK6 @ sK3 @ mactual)) = $true) | (((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f454])).
% 2.05/1.70  thf(f1007,plain,(
% 2.05/1.70    spl1_33 | spl1_30),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f464,f990,f1004])).
% 2.05/1.70  thf(f464,plain,(
% 2.05/1.70    ((down @ sK6 @ sK8 @ mactual) = $true) | ((in @ sK4 @ sK2 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f463])).
% 2.05/1.70  thf(f1002,plain,(
% 2.05/1.70    spl1_32 | spl1_31),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f467,f994,f999])).
% 2.05/1.70  thf(f467,plain,(
% 2.05/1.70    ($true = (down @ sK4 @ sK5 @ mactual)) | ((in @ sK6 @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f462])).
% 2.05/1.70  thf(f462,plain,(
% 2.05/1.70    ((in @ sK6 @ sK3 @ mactual) = $true) | (((down @ sK4 @ sK5 @ mactual) & (in @ sK4 @ sK2 @ mactual)) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f458])).
% 2.05/1.70  thf(f997,plain,(
% 2.05/1.70    spl1_30 | spl1_31),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f466,f994,f990])).
% 2.05/1.70  thf(f466,plain,(
% 2.05/1.70    ((in @ sK4 @ sK2 @ mactual) = $true) | ((in @ sK6 @ sK3 @ mactual) = $true)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f462])).
% 2.05/1.70  thf(f848,plain,(
% 2.05/1.70    spl1_1 | spl1_1),
% 2.05/1.70    inference(avatar_split_clause,[status(thm)],[f844,f846,f846])).
% 2.05/1.70  thf(f844,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (street @ X4 @ mactual)) | ((chevy @ X7 @ mactual) = $false) | ((way @ X8 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | ($false = (down @ X5 @ X8 @ mactual)) | ((street @ X8 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((lonely @ X8 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((barrel @ X5 @ X6 @ mactual) = $false) | ((event @ X3 @ mactual) = $false) | ((down @ X3 @ X4 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((car @ X7 @ mactual) = $false) | ((dirty @ X7 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((city @ X2 @ mactual) = $false) | ($false = (old @ X7 @ mactual)) | ((in @ X3 @ X2 @ mactual) = $false) | ((barrel @ X3 @ X7 @ mactual) = $false) | ((white @ X7 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ((lonely @ X4 @ mactual) = $false) | ((way @ X4 @ mactual) = $false) | ((event @ X5 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((in @ X5 @ X1 @ mactual) = $false) | ((old @ X6 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f843])).
% 2.05/1.70  thf(f843,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((white @ X6 @ mactual) = $false) | ((lonely @ X8 @ mactual) = $false) | ((way @ X4 @ mactual) = $false) | ((barrel @ X3 @ X7 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | ((event @ X3 @ mactual) = $false) | ((way @ X8 @ mactual) = $false) | ($false = (old @ X7 @ mactual)) | ($false = (car @ X6 @ mactual)) | ((chevy @ X7 @ mactual) = $false) | ((in @ X3 @ X2 @ mactual) = $false) | ((city @ X2 @ mactual) = $false) | ((street @ X8 @ mactual) = $false) | ((car @ X7 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((lonely @ X4 @ mactual) = $false) | ((dirty @ X7 @ mactual) = $false) | ($false = (street @ X4 @ mactual)) | ((barrel @ X5 @ X6 @ mactual) = $false) | ((down @ X3 @ X4 @ mactual) = $false) | ((event @ X5 @ mactual) = $false) | ((white @ X7 @ mactual) = $false) | ($false = ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual))) | ((city @ X1 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f842])).
% 2.05/1.70  thf(f842,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((city @ X1 @ mactual) = $false) | ((dirty @ X7 @ mactual) = $false) | ((car @ X7 @ mactual) = $false) | (((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual)) = $false) | ((city @ X2 @ mactual) = $false) | ((event @ X3 @ mactual) = $false) | ($false = ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual))) | ($false = (old @ X7 @ mactual)) | ((barrel @ X3 @ X7 @ mactual) = $false) | ((way @ X8 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((lonely @ X8 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((lonely @ X4 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ($false = (street @ X4 @ mactual)) | ((way @ X4 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | ((white @ X7 @ mactual) = $false) | ((chevy @ X7 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((barrel @ X5 @ X6 @ mactual) = $false) | ((street @ X8 @ mactual) = $false) | ((event @ X5 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f841])).
% 2.05/1.70  thf(f841,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual))) = $false) | ((chevy @ X7 @ mactual) = $false) | ($false = (old @ X7 @ mactual)) | ((way @ X4 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((lonely @ X8 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ((way @ X8 @ mactual) = $false) | ((car @ X7 @ mactual) = $false) | ((white @ X7 @ mactual) = $false) | ((city @ X2 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ($false = (street @ X4 @ mactual)) | ((white @ X6 @ mactual) = $false) | ((event @ X5 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((lonely @ X4 @ mactual) = $false) | ($false = ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual))) | ((event @ X3 @ mactual) = $false) | ((barrel @ X5 @ X6 @ mactual) = $false) | ((street @ X8 @ mactual) = $false) | ((dirty @ X7 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f840])).
% 2.05/1.70  thf(f840,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((chevy @ X6 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((chevy @ X7 @ mactual) = $false) | ((dirty @ X7 @ mactual) = $false) | ((event @ X3 @ mactual) = $false) | ((white @ X7 @ mactual) = $false) | ((lonely @ X4 @ mactual) = $false) | ($false = (old @ X7 @ mactual)) | ((old @ X6 @ mactual) = $false) | ((event @ X5 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | ($false = ((barrel @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual)))) | ((city @ X2 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ($false = (street @ X4 @ mactual)) | ((lonely @ X8 @ mactual) = $false) | ((way @ X8 @ mactual) = $false) | (((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual))) = $false) | ((way @ X4 @ mactual) = $false) | ((street @ X8 @ mactual) = $false) | ((car @ X7 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ($false = (car @ X6 @ mactual))) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f839])).
% 2.05/1.70  thf(f839,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((lonely @ X8 @ mactual) & ((barrel @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual)))) = $false) | ((city @ X2 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((way @ X4 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((way @ X8 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ($false = (street @ X4 @ mactual)) | ((event @ X3 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((white @ X7 @ mactual) = $false) | ($false = (old @ X7 @ mactual)) | ((event @ X5 @ mactual) = $false) | (((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual))) = $false) | ((street @ X8 @ mactual) = $false) | ((car @ X7 @ mactual) = $false) | ((lonely @ X4 @ mactual) = $false) | ((chevy @ X7 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((dirty @ X7 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f838])).
% 2.05/1.70  thf(f838,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (car @ X6 @ mactual)) | (((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual))))) = $false) | ((car @ X7 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((dirty @ X7 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | (((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual))) = $false) | ((way @ X4 @ mactual) = $false) | ($false = (street @ X4 @ mactual)) | ((chevy @ X7 @ mactual) = $false) | ((lonely @ X4 @ mactual) = $false) | ((street @ X8 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((event @ X5 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ($false = (old @ X7 @ mactual)) | ((white @ X6 @ mactual) = $false) | ((city @ X2 @ mactual) = $false) | ((white @ X7 @ mactual) = $false) | ((event @ X3 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f837])).
% 2.05/1.70  thf(f837,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((dirty @ X6 @ mactual) = $false) | ((lonely @ X4 @ mactual) = $false) | ((street @ X8 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ((way @ X4 @ mactual) = $false) | ((city @ X2 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | (((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual)))) = $false) | ((dirty @ X7 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ($false = (street @ X4 @ mactual)) | ((white @ X6 @ mactual) = $false) | ((event @ X5 @ mactual) = $false) | ((white @ X7 @ mactual) = $false) | ((car @ X7 @ mactual) = $false) | ((event @ X3 @ mactual) = $false) | (((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual))))) = $false) | ((chevy @ X6 @ mactual) = $false) | ((chevy @ X7 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f836])).
% 2.05/1.70  thf(f836,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((way @ X4 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((event @ X5 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((white @ X7 @ mactual) = $false) | ((car @ X7 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | ((event @ X3 @ mactual) = $false) | ((lonely @ X4 @ mactual) = $false) | ((chevy @ X7 @ mactual) = $false) | ((dirty @ X7 @ mactual) = $false) | (((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual)))))) = $false) | (((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual)))) = $false) | ($false = (car @ X6 @ mactual)) | ((city @ X2 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ($false = (street @ X4 @ mactual))) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f835])).
% 2.05/1.70  thf(f835,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((chevy @ X6 @ mactual) = $false) | ((chevy @ X7 @ mactual) = $false) | ((car @ X7 @ mactual) = $false) | ((dirty @ X7 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ((city @ X2 @ mactual) = $false) | ((event @ X3 @ mactual) = $false) | ((event @ X5 @ mactual) = $false) | ($false = ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual)))))))) | ((hollywood @ X1 @ mactual) = $false) | (((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual)))) = $false) | ((lonely @ X4 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | ((white @ X7 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ($false = (street @ X4 @ mactual)) | ((way @ X4 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f834])).
% 2.05/1.70  thf(f834,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual))))))))) | ((lonely @ X4 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | ((event @ X5 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((car @ X7 @ mactual) = $false) | ((city @ X2 @ mactual) = $false) | ((way @ X4 @ mactual) = $false) | ((event @ X3 @ mactual) = $false) | ((white @ X7 @ mactual) = $false) | (((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual)))) = $false) | ((city @ X1 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((chevy @ X7 @ mactual) = $false) | ((dirty @ X7 @ mactual) = $false) | ($false = (street @ X4 @ mactual)) | ((white @ X6 @ mactual) = $false) | ($false = (car @ X6 @ mactual))) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f833])).
% 2.05/1.70  thf(f833,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((lonely @ X4 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ((car @ X7 @ mactual) = $false) | ($false = ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual)))))) | ((way @ X4 @ mactual) = $false) | ((event @ X5 @ mactual) = $false) | ((white @ X7 @ mactual) = $false) | ($false = ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual))))))))) | ((chevy @ X6 @ mactual) = $false) | ((event @ X3 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | ((city @ X2 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ($false = (street @ X4 @ mactual)) | ((chevy @ X7 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f832])).
% 2.05/1.70  thf(f832,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((event @ X5 @ mactual) = $false) | ((way @ X4 @ mactual) = $false) | ($false = (street @ X4 @ mactual)) | ((city @ X1 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | ((chevy @ X7 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((event @ X3 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | (((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual)))))) = $false) | ((white @ X6 @ mactual) = $false) | ((lonely @ X4 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ((car @ X7 @ mactual) = $false) | ($false = ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual))))))))) | ((city @ X2 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f831])).
% 2.05/1.70  thf(f831,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((white @ X6 @ mactual) = $false) | (((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual))))))) = $false) | ($false = (street @ X4 @ mactual)) | ((chevy @ X7 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ($false = ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual))))))))) | ((event @ X5 @ mactual) = $false) | ((lonely @ X4 @ mactual) = $false) | ((way @ X4 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ((city @ X2 @ mactual) = $false) | ((event @ X3 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f830])).
% 2.05/1.70  thf(f830,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (street @ X4 @ mactual)) | ((chevy @ X7 @ mactual) = $false) | ((event @ X3 @ mactual) = $false) | ($false = ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ X8 @ mactual) & ((way @ X8 @ mactual) & ((lonely @ X8 @ mactual) & ((barrel @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual)))))))))) | ((hollywood @ X2 @ mactual) = $false) | ((lonely @ X4 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ((event @ X5 @ mactual) = $false) | ((city @ X2 @ mactual) = $false) | ((way @ X4 @ mactual) = $false) | (((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual))))))) = $false) | ((chevy @ X6 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f829])).
% 2.05/1.70  thf(f829,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((city @ X2 @ mactual) = $false) | ((chevy @ 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 @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual)))))))))) = $false) | ((hollywood @ X2 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ($false = (street @ X4 @ mactual)) | ((event @ X3 @ mactual) = $false) | ((event @ X5 @ mactual) = $false) | ((chevy @ X7 @ mactual) = $false) | ((lonely @ X4 @ mactual) = $false) | ((way @ X4 @ mactual) = $false) | (((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual))))))) = $false) | ((hollywood @ X1 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f828])).
% 2.05/1.70  thf(f828,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (street @ X4 @ mactual)) | ((event @ X3 @ mactual) = $false) | ((lonely @ X4 @ mactual) = $false) | ((way @ X4 @ mactual) = $false) | ((city @ X2 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | (((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 @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual))))))))))) = $false) | (((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual))))))) = $false) | ((city @ X1 @ mactual) = $false) | ((chevy @ X7 @ mactual) = $false) | ((event @ X5 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f827])).
% 2.05/1.70  thf(f827,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((city @ X1 @ mactual) = $false) | ((event @ X3 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | ($false = (street @ X4 @ mactual)) | ((lonely @ X4 @ mactual) = $false) | ($false = ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual))))))))) | ((event @ X5 @ mactual) = $false) | ((way @ X4 @ mactual) = $false) | (((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 @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual))))))))))) = $false) | ((city @ X2 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f826])).
% 2.05/1.70  thf(f826,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((event @ X5 @ 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 @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual)))))))))))) = $false) | ((city @ X1 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | ($false = ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual))))))))) | ($false = (street @ X4 @ mactual)) | ((lonely @ X4 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((event @ X3 @ mactual) = $false) | ((way @ X4 @ mactual) = $false) | ((city @ X2 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f825])).
% 2.05/1.70  thf(f825,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((city @ X1 @ mactual) = $false) | ((city @ X2 @ mactual) = $false) | ($false = ((lonely @ X4 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))) | (((event @ X5 @ 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 @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual)))))))))))) = $false) | ((event @ X3 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | ($false = (street @ X4 @ mactual)) | ((hollywood @ X1 @ mactual) = $false) | ((way @ X4 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f824])).
% 2.05/1.70  thf(f824,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((way @ X4 @ mactual) = $false) | (((city @ X1 @ mactual) & ((event @ X5 @ 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 @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual))))))))))))) = $false) | ((hollywood @ X1 @ mactual) = $false) | ($false = (street @ X4 @ mactual)) | ($false = ((lonely @ X4 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))) | ((city @ X2 @ mactual) = $false) | ((event @ X3 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f823])).
% 2.05/1.70  thf(f823,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (street @ X4 @ mactual)) | ((event @ X3 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | (((way @ X4 @ mactual) & ((lonely @ X4 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))) = $false) | ((city @ X2 @ mactual) = $false) | (((city @ X1 @ mactual) & ((event @ X5 @ 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 @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual))))))))))))) = $false) | ((hollywood @ X1 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f822])).
% 2.05/1.70  thf(f822,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((hollywood @ X1 @ mactual) = $false) | (((street @ X4 @ mactual) & ((way @ X4 @ mactual) & ((lonely @ X4 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual))))))))))) = $false) | ((event @ X3 @ mactual) = $false) | ((city @ X2 @ mactual) = $false) | ((hollywood @ X2 @ mactual) = $false) | (((city @ X1 @ mactual) & ((event @ X5 @ 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 @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual))))))))))))) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f821])).
% 2.05/1.70  thf(f821,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = ((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X5 @ 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 @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual))))))))))))))) | ((event @ X3 @ mactual) = $false) | (((street @ X4 @ mactual) & ((way @ X4 @ mactual) & ((lonely @ X4 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual))))))))))) = $false) | ((hollywood @ X2 @ mactual) = $false) | ((city @ X2 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f820])).
% 2.05/1.70  thf(f820,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = ((event @ X3 @ mactual) & ((street @ X4 @ mactual) & ((way @ X4 @ mactual) & ((lonely @ X4 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual))))))))))))) | ((hollywood @ X2 @ mactual) = $false) | ($false = ((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X5 @ 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 @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual))))))))))))))) | ((city @ X2 @ mactual) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f819])).
% 2.05/1.70  thf(f819,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X4 @ mactual) & ((way @ X4 @ mactual) & ((lonely @ X4 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual))))))))))))) = $false) | ((hollywood @ X2 @ mactual) = $false) | ($false = ((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X5 @ 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 @ X5 @ X6 @ mactual) & ((down @ X5 @ X8 @ mactual) & (in @ X5 @ X1 @ mactual)))))))))))))))) )),
% 2.05/1.70    inference(beta_eta_normalization,[status(thm)],[f818])).
% 2.05/1.70  thf(f818,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((hollywood @ X2 @ mactual) = $false) | (((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X4 @ mactual) & ((way @ X4 @ mactual) & ((lonely @ X4 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual))))))))))))) = $false) | (((^[Y0 : $i]: ((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X5 @ 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 @ X5 @ X6 @ mactual) & ((down @ X5 @ Y0 @ mactual) & (in @ X5 @ X1 @ mactual))))))))))))))) @ X8) = $false)) )),
% 2.05/1.70    inference(pi_clausification,[status(thm)],[f817])).
% 2.05/1.70  thf(f817,plain,(
% 2.05/1.70    ( ! [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 @ X5 @ 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 @ X5 @ X6 @ mactual) & ((down @ X5 @ Y0 @ mactual) & (in @ X5 @ X1 @ mactual))))))))))))))))) | ((hollywood @ X2 @ mactual) = $false) | (((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X4 @ mactual) & ((way @ X4 @ mactual) & ((lonely @ X4 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual))))))))))))) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f816])).
% 2.05/1.70  thf(f816,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X4 @ mactual) & ((way @ X4 @ mactual) & ((lonely @ X4 @ mactual) & ((chevy @ X7 @ mactual) & ((car @ X7 @ mactual) & ((white @ X7 @ mactual) & ((dirty @ X7 @ mactual) & ((old @ X7 @ mactual) & ((barrel @ X3 @ X7 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))) = $false) | ($false = (?? @ $i @ (^[Y0 : $i]: ((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X5 @ 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 @ X5 @ X6 @ mactual) & ((down @ X5 @ Y0 @ mactual) & (in @ X5 @ X1 @ mactual)))))))))))))))))) )),
% 2.05/1.70    inference(beta_eta_normalization,[status(thm)],[f815])).
% 2.05/1.70  thf(f815,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: ((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ X5 @ X6 @ mactual) & ((down @ X5 @ Y0 @ mactual) & (in @ X5 @ X1 @ mactual))))))))))))))))) | ($false = ((^[Y0 : $i]: ((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X4 @ mactual) & ((way @ X4 @ mactual) & ((lonely @ X4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ X3 @ Y0 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual))))))))))))))) @ X7))) )),
% 2.05/1.70    inference(pi_clausification,[status(thm)],[f814])).
% 2.05/1.70  thf(f814,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X4 @ mactual) & ((way @ X4 @ mactual) & ((lonely @ X4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ X3 @ Y0 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))))) = $false) | ($false = (?? @ $i @ (^[Y0 : $i]: ((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X5 @ 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 @ X5 @ X6 @ mactual) & ((down @ X5 @ Y0 @ mactual) & (in @ X5 @ X1 @ mactual)))))))))))))))))) )),
% 2.05/1.70    inference(beta_eta_normalization,[status(thm)],[f813])).
% 2.05/1.70  thf(f813,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : ((((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X5 @ 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 @ X5 @ Y0 @ mactual) & ((down @ X5 @ Y1 @ mactual) & (in @ X5 @ X1 @ mactual))))))))))))))))) @ X6) = $false) | ((?? @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X4 @ mactual) & ((way @ X4 @ mactual) & ((lonely @ X4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ X3 @ Y0 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))))) = $false)) )),
% 2.05/1.70    inference(pi_clausification,[status(thm)],[f812])).
% 2.05/1.70  thf(f812,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((hollywood @ X1 @ mactual) & ((city @ X1 @ mactual) & ((event @ X5 @ 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 @ X5 @ Y0 @ mactual) & ((down @ X5 @ Y1 @ mactual) & (in @ X5 @ X1 @ mactual)))))))))))))))))) = $false) | ((?? @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X4 @ mactual) & ((way @ X4 @ mactual) & ((lonely @ X4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ X3 @ Y0 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))))) = $false)) )),
% 2.05/1.70    inference(beta_eta_normalization,[status(thm)],[f811])).
% 2.05/1.70  thf(f811,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X4 @ mactual) & ((way @ X4 @ mactual) & ((lonely @ X4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ X3 @ Y0 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ 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))))))))))))))))))) @ X5) = $false)) )),
% 2.05/1.70    inference(pi_clausification,[status(thm)],[f810])).
% 2.05/1.70  thf(f810,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((?? @ $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)))))))))))))))))))) = $false) | ((?? @ $i @ (^[Y0 : $i]: ((hollywood @ X2 @ mactual) & ((city @ X2 @ mactual) & ((event @ X3 @ mactual) & ((street @ X4 @ mactual) & ((way @ X4 @ mactual) & ((lonely @ X4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ X3 @ Y0 @ mactual) & ((down @ X3 @ X4 @ mactual) & (in @ X3 @ X2 @ mactual)))))))))))))))) = $false)) )),
% 2.05/1.70    inference(beta_eta_normalization,[status(thm)],[f809])).
% 2.05/1.70  thf(f809,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((?? @ $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)))))))))))))))))))) = $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))))))))))))))))) @ X4) = $false)) )),
% 2.05/1.70    inference(pi_clausification,[status(thm)],[f808])).
% 2.05/1.70  thf(f808,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $i] : (((?? @ $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)))))))))))))))))) = $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)))))))))))))))))))) = $false)) )),
% 2.05/1.70    inference(beta_eta_normalization,[status(thm)],[f807])).
% 2.05/1.70  thf(f807,plain,(
% 2.05/1.70    ( ! [X2 : $i,X3 : $i,X1 : $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))))))))))))))))))) @ X3) = $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)))))))))))))))))))) = $false)) )),
% 2.05/1.70    inference(pi_clausification,[status(thm)],[f806])).
% 2.05/1.70  thf(f806,plain,(
% 2.05/1.70    ( ! [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))))))))))))))))))))) | ((?? @ $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)))))))))))))))))))) = $false)) )),
% 2.05/1.70    inference(beta_eta_normalization,[status(thm)],[f805])).
% 2.05/1.70  thf(f805,plain,(
% 2.05/1.70    ( ! [X2 : $i,X1 : $i] : (($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))))))))))))))))))))) @ X2)) | ((?? @ $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)))))))))))))))))))) = $false)) )),
% 2.05/1.70    inference(pi_clausification,[status(thm)],[f642])).
% 2.05/1.70  thf(f642,plain,(
% 2.05/1.70    ( ! [X1 : $i] : (((?? @ $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)))))))))))))))))))))) = $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)))))))))))))))))))) = $false)) )),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f641])).
% 2.05/1.70  thf(f641,plain,(
% 2.05/1.70    ( ! [X1 : $i] : ((((?? @ $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)))))))))))))))))))))) => (?? @ $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))))))))))))))))))))))) = $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)))))))))))))))))))) = $false)) )),
% 2.05/1.70    inference(beta_eta_normalization,[status(thm)],[f640])).
% 2.05/1.70  thf(f640,plain,(
% 2.05/1.70    ( ! [X1 : $i] : ((((?? @ $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)))))))))))))))))))))) => (?? @ $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))))))))))))))))))))))) = $false) | ($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))))))))))))))))))))) @ X1))) )),
% 2.05/1.70    inference(pi_clausification,[status(thm)],[f56])).
% 2.05/1.70  thf(f56,plain,(
% 2.05/1.70    ((?? @ $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)))))))))))))))))))))) = $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)))))))))))))))))))))) => (?? @ $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))))))))))))))))))))))) = $false)),
% 2.05/1.70    inference(binary_proxy_clausification,[status(thm)],[f55])).
% 2.05/1.70  % SZS output end Proof for DTF2THF_5915
% 2.05/1.70  % (6012)------------------------------
% 2.05/1.70  % (6012)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.70  % (6012)Termination reason: Refutation
% 2.05/1.70  
% 2.05/1.70  % (6012)Memory used [KB]: 7164
% 2.05/1.70  % (6012)Time elapsed: 0.118 s
% 2.05/1.70  % (6012)Instructions burned: 169 (million)
% 2.05/1.70  % (6012)------------------------------
% 2.05/1.70  % (6012)------------------------------
% 2.05/1.70  % (6011)Success in time 0.141 s
%------------------------------------------------------------------------------