TSTP Solution File: ALG188+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ALG188+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n003.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 Aug 31 15:40:23 EDT 2022

% Result   : Theorem 1.77s 0.63s
% Output   : Refutation 1.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  225
% Syntax   : Number of formulae    :  744 (  51 unt;   0 def)
%            Number of atoms       : 3943 (2465 equ)
%            Maximal formula atoms :  425 (   5 avg)
%            Number of connectives : 5410 (2211   ~;1882   |;1168   &)
%                                         ( 149 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  130 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :  225 ( 223 usr; 224 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2199,plain,
    $false,
    inference(avatar_sat_refutation,[],[f582,f609,f690,f782,f791,f848,f871,f1244,f1260,f1271,f1282,f1292,f1329,f1339,f1340,f1350,f1381,f1386,f1391,f1398,f1405,f1411,f1465,f1472,f1474,f1475,f1476,f1477,f1478,f1483,f1490,f1518,f1520,f1531,f1558,f1587,f1593,f1606,f1619,f1629,f1635,f1650,f1674,f1675,f1676,f1683,f1691,f1693,f1698,f1712,f1715,f1720,f1733,f1734,f1736,f1738,f1740,f1746,f1747,f1748,f1752,f1755,f1775,f1776,f1777,f1787,f1809,f1822,f1827,f1830,f1839,f1842,f1844,f1846,f1847,f1849,f1852,f1853,f1861,f1868,f1874,f1876,f1882,f1885,f1891,f1907,f1910,f1918,f1922,f1928,f1933,f1937,f1943,f1944,f1950,f1951,f1957,f1958,f1959,f1960,f1963,f1969,f1972,f1977,f1983,f1988,f1993,f1998,f2003,f2006,f2009,f2018,f2022,f2027,f2034,f2039,f2043,f2047,f2050,f2055,f2061,f2065,f2069,f2074,f2079,f2085,f2089,f2092,f2098,f2102,f2110,f2115,f2119,f2123,f2127,f2132,f2136,f2141,f2146,f2150,f2156,f2163,f2167,f2171,f2176,f2181,f2185,f2189,f2192,f2198]) ).

fof(f2198,plain,
    ( spl74_160
    | ~ spl74_187
    | ~ spl74_216
    | ~ spl74_246 ),
    inference(avatar_contradiction_clause,[],[f2197]) ).

fof(f2197,plain,
    ( $false
    | spl74_160
    | ~ spl74_187
    | ~ spl74_216
    | ~ spl74_246 ),
    inference(subsumption_resolution,[],[f2196,f1556]) ).

fof(f1556,plain,
    ( e0 = op(e1,e4)
    | ~ spl74_216 ),
    inference(avatar_component_clause,[],[f1555]) ).

fof(f1555,plain,
    ( spl74_216
  <=> e0 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_216])]) ).

fof(f2196,plain,
    ( e0 != op(e1,e4)
    | spl74_160
    | ~ spl74_187
    | ~ spl74_246 ),
    inference(forward_demodulation,[],[f2195,f1384]) ).

fof(f1384,plain,
    ( e1 = op(e2,e0)
    | ~ spl74_187 ),
    inference(avatar_component_clause,[],[f1383]) ).

fof(f1383,plain,
    ( spl74_187
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_187])]) ).

fof(f2195,plain,
    ( e0 != op(op(e2,e0),e4)
    | spl74_160
    | ~ spl74_246 ),
    inference(forward_demodulation,[],[f1243,f1820]) ).

fof(f1820,plain,
    ( e4 = op(e0,e2)
    | ~ spl74_246 ),
    inference(avatar_component_clause,[],[f1819]) ).

fof(f1819,plain,
    ( spl74_246
  <=> e4 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_246])]) ).

fof(f1243,plain,
    ( e0 != op(op(e2,e0),op(e0,e2))
    | spl74_160 ),
    inference(avatar_component_clause,[],[f1241]) ).

fof(f1241,plain,
    ( spl74_160
  <=> e0 = op(op(e2,e0),op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_160])]) ).

fof(f2192,plain,
    ( spl74_157
    | ~ spl74_237 ),
    inference(avatar_contradiction_clause,[],[f2191]) ).

fof(f2191,plain,
    ( $false
    | spl74_157
    | ~ spl74_237 ),
    inference(subsumption_resolution,[],[f2190,f1696]) ).

fof(f1696,plain,
    ( e4 = op(e4,e4)
    | ~ spl74_237 ),
    inference(avatar_component_clause,[],[f1695]) ).

fof(f1695,plain,
    ( spl74_237
  <=> e4 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_237])]) ).

fof(f2190,plain,
    ( e4 != op(e4,e4)
    | spl74_157
    | ~ spl74_237 ),
    inference(forward_demodulation,[],[f1231,f1696]) ).

fof(f1231,plain,
    ( e4 != op(e4,op(e4,e4))
    | spl74_157 ),
    inference(avatar_component_clause,[],[f1229]) ).

fof(f1229,plain,
    ( spl74_157
  <=> e4 = op(e4,op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_157])]) ).

fof(f2189,plain,
    ( spl74_156
    | ~ spl74_246
    | ~ spl74_249 ),
    inference(avatar_contradiction_clause,[],[f2188]) ).

fof(f2188,plain,
    ( $false
    | spl74_156
    | ~ spl74_246
    | ~ spl74_249 ),
    inference(subsumption_resolution,[],[f2187,f1941]) ).

fof(f1941,plain,
    ( e2 = op(e0,e4)
    | ~ spl74_249 ),
    inference(avatar_component_clause,[],[f1940]) ).

fof(f1940,plain,
    ( spl74_249
  <=> e2 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_249])]) ).

fof(f2187,plain,
    ( e2 != op(e0,e4)
    | spl74_156
    | ~ spl74_246 ),
    inference(forward_demodulation,[],[f1227,f1820]) ).

fof(f1227,plain,
    ( e2 != op(e0,op(e0,e2))
    | spl74_156 ),
    inference(avatar_component_clause,[],[f1225]) ).

fof(f1225,plain,
    ( spl74_156
  <=> e2 = op(e0,op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_156])]) ).

fof(f2185,plain,
    ( ~ spl74_130
    | spl74_155 ),
    inference(avatar_contradiction_clause,[],[f2184]) ).

fof(f2184,plain,
    ( $false
    | ~ spl74_130
    | spl74_155 ),
    inference(subsumption_resolution,[],[f2183,f1122]) ).

fof(f1122,plain,
    ( e3 = op(e3,e3)
    | ~ spl74_130 ),
    inference(avatar_component_clause,[],[f1121]) ).

fof(f1121,plain,
    ( spl74_130
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_130])]) ).

fof(f2183,plain,
    ( e3 != op(e3,e3)
    | ~ spl74_130
    | spl74_155 ),
    inference(forward_demodulation,[],[f1223,f1122]) ).

fof(f1223,plain,
    ( e3 != op(op(e3,e3),op(e3,e3))
    | spl74_155 ),
    inference(avatar_component_clause,[],[f1221]) ).

fof(f1221,plain,
    ( spl74_155
  <=> e3 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_155])]) ).

fof(f2181,plain,
    ( spl74_154
    | ~ spl74_167
    | ~ spl74_169 ),
    inference(avatar_contradiction_clause,[],[f2180]) ).

fof(f2180,plain,
    ( $false
    | spl74_154
    | ~ spl74_167
    | ~ spl74_169 ),
    inference(subsumption_resolution,[],[f2179,f1280]) ).

fof(f1280,plain,
    ( e2 = op(e1,e3)
    | ~ spl74_167 ),
    inference(avatar_component_clause,[],[f1279]) ).

fof(f1279,plain,
    ( spl74_167
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_167])]) ).

fof(f2179,plain,
    ( e2 != op(e1,e3)
    | spl74_154
    | ~ spl74_169 ),
    inference(forward_demodulation,[],[f1219,f1290]) ).

fof(f1290,plain,
    ( e3 = op(e1,e2)
    | ~ spl74_169 ),
    inference(avatar_component_clause,[],[f1289]) ).

fof(f1289,plain,
    ( spl74_169
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_169])]) ).

fof(f1219,plain,
    ( e2 != op(e1,op(e1,e2))
    | spl74_154 ),
    inference(avatar_component_clause,[],[f1217]) ).

fof(f1217,plain,
    ( spl74_154
  <=> e2 = op(e1,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_154])]) ).

fof(f2176,plain,
    ( spl74_148
    | ~ spl74_167
    | ~ spl74_203
    | ~ spl74_222 ),
    inference(avatar_contradiction_clause,[],[f2175]) ).

fof(f2175,plain,
    ( $false
    | spl74_148
    | ~ spl74_167
    | ~ spl74_203
    | ~ spl74_222 ),
    inference(subsumption_resolution,[],[f2174,f1591]) ).

fof(f1591,plain,
    ( e3 = op(e2,e4)
    | ~ spl74_222 ),
    inference(avatar_component_clause,[],[f1590]) ).

fof(f1590,plain,
    ( spl74_222
  <=> e3 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_222])]) ).

fof(f2174,plain,
    ( e3 != op(e2,e4)
    | spl74_148
    | ~ spl74_167
    | ~ spl74_203 ),
    inference(forward_demodulation,[],[f2173,f1280]) ).

fof(f2173,plain,
    ( e3 != op(op(e1,e3),e4)
    | spl74_148
    | ~ spl74_203 ),
    inference(forward_demodulation,[],[f1195,f1481]) ).

fof(f1481,plain,
    ( e4 = op(e3,e1)
    | ~ spl74_203 ),
    inference(avatar_component_clause,[],[f1480]) ).

fof(f1480,plain,
    ( spl74_203
  <=> e4 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_203])]) ).

fof(f1195,plain,
    ( e3 != op(op(e1,e3),op(e3,e1))
    | spl74_148 ),
    inference(avatar_component_clause,[],[f1193]) ).

fof(f1193,plain,
    ( spl74_148
  <=> e3 = op(op(e1,e3),op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_148])]) ).

fof(f2171,plain,
    ( spl74_146
    | ~ spl74_165 ),
    inference(avatar_contradiction_clause,[],[f2170]) ).

fof(f2170,plain,
    ( $false
    | spl74_146
    | ~ spl74_165 ),
    inference(subsumption_resolution,[],[f2169,f1269]) ).

fof(f1269,plain,
    ( e0 = op(e0,e0)
    | ~ spl74_165 ),
    inference(avatar_component_clause,[],[f1268]) ).

fof(f1268,plain,
    ( spl74_165
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_165])]) ).

fof(f2169,plain,
    ( e0 != op(e0,e0)
    | spl74_146
    | ~ spl74_165 ),
    inference(forward_demodulation,[],[f1187,f1269]) ).

fof(f1187,plain,
    ( e0 != op(op(e0,e0),op(e0,e0))
    | spl74_146 ),
    inference(avatar_component_clause,[],[f1185]) ).

fof(f1185,plain,
    ( spl74_146
  <=> e0 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_146])]) ).

fof(f2167,plain,
    ( spl74_145
    | ~ spl74_187
    | ~ spl74_190 ),
    inference(avatar_contradiction_clause,[],[f2166]) ).

fof(f2166,plain,
    ( $false
    | spl74_145
    | ~ spl74_187
    | ~ spl74_190 ),
    inference(subsumption_resolution,[],[f2165,f1384]) ).

fof(f2165,plain,
    ( e1 != op(e2,e0)
    | spl74_145
    | ~ spl74_190 ),
    inference(forward_demodulation,[],[f1183,f1403]) ).

fof(f1403,plain,
    ( e0 = op(e2,e1)
    | ~ spl74_190 ),
    inference(avatar_component_clause,[],[f1402]) ).

fof(f1402,plain,
    ( spl74_190
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_190])]) ).

fof(f1183,plain,
    ( e1 != op(e2,op(e2,e1))
    | spl74_145 ),
    inference(avatar_component_clause,[],[f1181]) ).

fof(f1181,plain,
    ( spl74_145
  <=> e1 = op(e2,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_145])]) ).

fof(f2163,plain,
    ( spl74_144
    | ~ spl74_167
    | ~ spl74_169 ),
    inference(avatar_contradiction_clause,[],[f2162]) ).

fof(f2162,plain,
    ( $false
    | spl74_144
    | ~ spl74_167
    | ~ spl74_169 ),
    inference(subsumption_resolution,[],[f2161,f1290]) ).

fof(f2161,plain,
    ( e3 != op(e1,e2)
    | spl74_144
    | ~ spl74_167 ),
    inference(forward_demodulation,[],[f1179,f1280]) ).

fof(f1179,plain,
    ( e3 != op(e1,op(e1,e3))
    | spl74_144 ),
    inference(avatar_component_clause,[],[f1177]) ).

fof(f1177,plain,
    ( spl74_144
  <=> e3 = op(e1,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_144])]) ).

fof(f2156,plain,
    ( ~ spl74_10
    | spl74_142
    | ~ spl74_216
    | ~ spl74_246 ),
    inference(avatar_contradiction_clause,[],[f2155]) ).

fof(f2155,plain,
    ( $false
    | ~ spl74_10
    | spl74_142
    | ~ spl74_216
    | ~ spl74_246 ),
    inference(subsumption_resolution,[],[f2154,f1820]) ).

fof(f2154,plain,
    ( e4 != op(e0,e2)
    | ~ spl74_10
    | spl74_142
    | ~ spl74_216 ),
    inference(forward_demodulation,[],[f2153,f1556]) ).

fof(f2153,plain,
    ( e4 != op(op(e1,e4),e2)
    | ~ spl74_10
    | spl74_142 ),
    inference(forward_demodulation,[],[f1171,f607]) ).

fof(f607,plain,
    ( e2 = op(e4,e1)
    | ~ spl74_10 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f606,plain,
    ( spl74_10
  <=> e2 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_10])]) ).

fof(f1171,plain,
    ( e4 != op(op(e1,e4),op(e4,e1))
    | spl74_142 ),
    inference(avatar_component_clause,[],[f1169]) ).

fof(f1169,plain,
    ( spl74_142
  <=> e4 = op(op(e1,e4),op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_142])]) ).

fof(f2150,plain,
    ( ~ spl74_62
    | spl74_141
    | ~ spl74_211
    | ~ spl74_228 ),
    inference(avatar_contradiction_clause,[],[f2149]) ).

fof(f2149,plain,
    ( $false
    | ~ spl74_62
    | spl74_141
    | ~ spl74_211
    | ~ spl74_228 ),
    inference(subsumption_resolution,[],[f2148,f846]) ).

fof(f846,plain,
    ( e1 = op(e3,e4)
    | ~ spl74_62 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f845,plain,
    ( spl74_62
  <=> e1 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_62])]) ).

fof(f2148,plain,
    ( e1 != op(e3,e4)
    | spl74_141
    | ~ spl74_211
    | ~ spl74_228 ),
    inference(forward_demodulation,[],[f2147,f1529]) ).

fof(f1529,plain,
    ( e3 = op(e0,e1)
    | ~ spl74_211 ),
    inference(avatar_component_clause,[],[f1528]) ).

fof(f1528,plain,
    ( spl74_211
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_211])]) ).

fof(f2147,plain,
    ( e1 != op(op(e0,e1),e4)
    | spl74_141
    | ~ spl74_228 ),
    inference(forward_demodulation,[],[f1167,f1633]) ).

fof(f1633,plain,
    ( e4 = op(e1,e0)
    | ~ spl74_228 ),
    inference(avatar_component_clause,[],[f1632]) ).

fof(f1632,plain,
    ( spl74_228
  <=> e4 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_228])]) ).

fof(f1167,plain,
    ( e1 != op(op(e0,e1),op(e1,e0))
    | spl74_141 ),
    inference(avatar_component_clause,[],[f1165]) ).

fof(f1165,plain,
    ( spl74_141
  <=> e1 = op(op(e0,e1),op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_141])]) ).

fof(f2146,plain,
    ( ~ spl74_10
    | spl74_140
    | ~ spl74_187
    | ~ spl74_246 ),
    inference(avatar_contradiction_clause,[],[f2145]) ).

fof(f2145,plain,
    ( $false
    | ~ spl74_10
    | spl74_140
    | ~ spl74_187
    | ~ spl74_246 ),
    inference(subsumption_resolution,[],[f2144,f607]) ).

fof(f2144,plain,
    ( e2 != op(e4,e1)
    | spl74_140
    | ~ spl74_187
    | ~ spl74_246 ),
    inference(forward_demodulation,[],[f2143,f1820]) ).

fof(f2143,plain,
    ( e2 != op(op(e0,e2),e1)
    | spl74_140
    | ~ spl74_187 ),
    inference(forward_demodulation,[],[f1163,f1384]) ).

fof(f1163,plain,
    ( e2 != op(op(e0,e2),op(e2,e0))
    | spl74_140 ),
    inference(avatar_component_clause,[],[f1161]) ).

fof(f1161,plain,
    ( spl74_140
  <=> e2 = op(op(e0,e2),op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_140])]) ).

fof(f2141,plain,
    ( spl74_136
    | ~ spl74_216
    | ~ spl74_228 ),
    inference(avatar_contradiction_clause,[],[f2140]) ).

fof(f2140,plain,
    ( $false
    | spl74_136
    | ~ spl74_216
    | ~ spl74_228 ),
    inference(subsumption_resolution,[],[f2139,f1556]) ).

fof(f2139,plain,
    ( e0 != op(e1,e4)
    | spl74_136
    | ~ spl74_228 ),
    inference(forward_demodulation,[],[f1147,f1633]) ).

fof(f1147,plain,
    ( e0 != op(e1,op(e1,e0))
    | spl74_136 ),
    inference(avatar_component_clause,[],[f1145]) ).

fof(f1145,plain,
    ( spl74_136
  <=> e0 = op(e1,op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_136])]) ).

fof(f2136,plain,
    ( ~ spl74_50
    | spl74_134 ),
    inference(avatar_contradiction_clause,[],[f2135]) ).

fof(f2135,plain,
    ( $false
    | ~ spl74_50
    | spl74_134 ),
    inference(subsumption_resolution,[],[f2134,f789]) ).

fof(f789,plain,
    ( e1 = op(e1,e1)
    | ~ spl74_50 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f788,plain,
    ( spl74_50
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_50])]) ).

fof(f2134,plain,
    ( e1 != op(e1,e1)
    | ~ spl74_50
    | spl74_134 ),
    inference(forward_demodulation,[],[f1139,f789]) ).

fof(f1139,plain,
    ( e1 != op(op(e1,e1),op(e1,e1))
    | spl74_134 ),
    inference(avatar_component_clause,[],[f1137]) ).

fof(f1137,plain,
    ( spl74_134
  <=> e1 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_134])]) ).

fof(f2132,plain,
    ( ~ spl74_4
    | spl74_132
    | ~ spl74_178 ),
    inference(avatar_contradiction_clause,[],[f2131]) ).

fof(f2131,plain,
    ( $false
    | ~ spl74_4
    | spl74_132
    | ~ spl74_178 ),
    inference(subsumption_resolution,[],[f2130,f580]) ).

fof(f580,plain,
    ( e0 = op(e4,e3)
    | ~ spl74_4 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f579,plain,
    ( spl74_4
  <=> e0 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_4])]) ).

fof(f2130,plain,
    ( e0 != op(e4,e3)
    | spl74_132
    | ~ spl74_178 ),
    inference(forward_demodulation,[],[f1131,f1337]) ).

fof(f1337,plain,
    ( e3 = op(e4,e0)
    | ~ spl74_178 ),
    inference(avatar_component_clause,[],[f1336]) ).

fof(f1336,plain,
    ( spl74_178
  <=> e3 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_178])]) ).

fof(f1131,plain,
    ( e0 != op(e4,op(e4,e0))
    | spl74_132 ),
    inference(avatar_component_clause,[],[f1129]) ).

fof(f1129,plain,
    ( spl74_132
  <=> e0 = op(e4,op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_132])]) ).

fof(f2127,plain,
    ( spl74_128
    | ~ spl74_180
    | ~ spl74_186 ),
    inference(avatar_contradiction_clause,[],[f2126]) ).

fof(f2126,plain,
    ( $false
    | spl74_128
    | ~ spl74_180
    | ~ spl74_186 ),
    inference(subsumption_resolution,[],[f2125,f1348]) ).

fof(f1348,plain,
    ( e2 = op(e3,e0)
    | ~ spl74_180 ),
    inference(avatar_component_clause,[],[f1347]) ).

fof(f1347,plain,
    ( spl74_180
  <=> e2 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_180])]) ).

fof(f2125,plain,
    ( e2 != op(e3,e0)
    | spl74_128
    | ~ spl74_186 ),
    inference(forward_demodulation,[],[f1115,f1379]) ).

fof(f1379,plain,
    ( e0 = op(e3,e2)
    | ~ spl74_186 ),
    inference(avatar_component_clause,[],[f1378]) ).

fof(f1378,plain,
    ( spl74_186
  <=> e0 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_186])]) ).

fof(f1115,plain,
    ( e2 != op(e3,op(e3,e2))
    | spl74_128 ),
    inference(avatar_component_clause,[],[f1113]) ).

fof(f1113,plain,
    ( spl74_128
  <=> e2 = op(e3,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_128])]) ).

fof(f2123,plain,
    ( ~ spl74_48
    | spl74_127
    | ~ spl74_167
    | ~ spl74_222 ),
    inference(avatar_contradiction_clause,[],[f2122]) ).

fof(f2122,plain,
    ( $false
    | ~ spl74_48
    | spl74_127
    | ~ spl74_167
    | ~ spl74_222 ),
    inference(subsumption_resolution,[],[f2121,f1280]) ).

fof(f2121,plain,
    ( e2 != op(e1,e3)
    | ~ spl74_48
    | spl74_127
    | ~ spl74_222 ),
    inference(forward_demodulation,[],[f2120,f780]) ).

fof(f780,plain,
    ( e1 = op(e4,e2)
    | ~ spl74_48 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f779,plain,
    ( spl74_48
  <=> e1 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_48])]) ).

fof(f2120,plain,
    ( e2 != op(op(e4,e2),e3)
    | spl74_127
    | ~ spl74_222 ),
    inference(forward_demodulation,[],[f1111,f1591]) ).

fof(f1111,plain,
    ( e2 != op(op(e4,e2),op(e2,e4))
    | spl74_127 ),
    inference(avatar_component_clause,[],[f1109]) ).

fof(f1109,plain,
    ( spl74_127
  <=> e2 = op(op(e4,e2),op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_127])]) ).

fof(f2119,plain,
    ( ~ spl74_50
    | spl74_123 ),
    inference(avatar_contradiction_clause,[],[f2118]) ).

fof(f2118,plain,
    ( $false
    | ~ spl74_50
    | spl74_123 ),
    inference(subsumption_resolution,[],[f2117,f789]) ).

fof(f2117,plain,
    ( e1 != op(e1,e1)
    | ~ spl74_50
    | spl74_123 ),
    inference(forward_demodulation,[],[f1095,f789]) ).

fof(f1095,plain,
    ( e1 != op(e1,op(e1,e1))
    | spl74_123 ),
    inference(avatar_component_clause,[],[f1093]) ).

fof(f1093,plain,
    ( spl74_123
  <=> e1 = op(e1,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_123])]) ).

fof(f2115,plain,
    ( spl74_119
    | ~ spl74_187
    | ~ spl74_190 ),
    inference(avatar_contradiction_clause,[],[f2114]) ).

fof(f2114,plain,
    ( $false
    | spl74_119
    | ~ spl74_187
    | ~ spl74_190 ),
    inference(subsumption_resolution,[],[f2113,f1403]) ).

fof(f2113,plain,
    ( e0 != op(e2,e1)
    | spl74_119
    | ~ spl74_187 ),
    inference(forward_demodulation,[],[f1079,f1384]) ).

fof(f1079,plain,
    ( e0 != op(e2,op(e2,e0))
    | spl74_119 ),
    inference(avatar_component_clause,[],[f1077]) ).

fof(f1077,plain,
    ( spl74_119
  <=> e0 = op(e2,op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_119])]) ).

fof(f2110,plain,
    ( ~ spl74_10
    | spl74_115
    | ~ spl74_187
    | ~ spl74_216 ),
    inference(avatar_contradiction_clause,[],[f2109]) ).

fof(f2109,plain,
    ( $false
    | ~ spl74_10
    | spl74_115
    | ~ spl74_187
    | ~ spl74_216 ),
    inference(subsumption_resolution,[],[f2108,f1384]) ).

fof(f2108,plain,
    ( e1 != op(e2,e0)
    | ~ spl74_10
    | spl74_115
    | ~ spl74_216 ),
    inference(forward_demodulation,[],[f2107,f607]) ).

fof(f2107,plain,
    ( e1 != op(op(e4,e1),e0)
    | spl74_115
    | ~ spl74_216 ),
    inference(forward_demodulation,[],[f1063,f1556]) ).

fof(f1063,plain,
    ( e1 != op(op(e4,e1),op(e1,e4))
    | spl74_115 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f1061,plain,
    ( spl74_115
  <=> e1 = op(op(e4,e1),op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_115])]) ).

fof(f2102,plain,
    ( spl74_114
    | ~ spl74_163
    | ~ spl74_180
    | ~ spl74_190 ),
    inference(avatar_contradiction_clause,[],[f2101]) ).

fof(f2101,plain,
    ( $false
    | spl74_114
    | ~ spl74_163
    | ~ spl74_180
    | ~ spl74_190 ),
    inference(subsumption_resolution,[],[f2100,f1403]) ).

fof(f2100,plain,
    ( e0 != op(e2,e1)
    | spl74_114
    | ~ spl74_163
    | ~ spl74_180 ),
    inference(forward_demodulation,[],[f2099,f1348]) ).

fof(f2099,plain,
    ( e0 != op(op(e3,e0),e1)
    | spl74_114
    | ~ spl74_163 ),
    inference(forward_demodulation,[],[f1059,f1258]) ).

fof(f1258,plain,
    ( e1 = op(e0,e3)
    | ~ spl74_163 ),
    inference(avatar_component_clause,[],[f1257]) ).

fof(f1257,plain,
    ( spl74_163
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_163])]) ).

fof(f1059,plain,
    ( e0 != op(op(e3,e0),op(e0,e3))
    | spl74_114 ),
    inference(avatar_component_clause,[],[f1057]) ).

fof(f1057,plain,
    ( spl74_114
  <=> e0 = op(op(e3,e0),op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_114])]) ).

fof(f2098,plain,
    ( spl74_113
    | ~ spl74_163
    | ~ spl74_169
    | ~ spl74_180 ),
    inference(avatar_contradiction_clause,[],[f2097]) ).

fof(f2097,plain,
    ( $false
    | spl74_113
    | ~ spl74_163
    | ~ spl74_169
    | ~ spl74_180 ),
    inference(subsumption_resolution,[],[f2096,f1290]) ).

fof(f2096,plain,
    ( e3 != op(e1,e2)
    | spl74_113
    | ~ spl74_163
    | ~ spl74_180 ),
    inference(forward_demodulation,[],[f2095,f1258]) ).

fof(f2095,plain,
    ( e3 != op(op(e0,e3),e2)
    | spl74_113
    | ~ spl74_180 ),
    inference(forward_demodulation,[],[f1055,f1348]) ).

fof(f1055,plain,
    ( e3 != op(op(e0,e3),op(e3,e0))
    | spl74_113 ),
    inference(avatar_component_clause,[],[f1053]) ).

fof(f1053,plain,
    ( spl74_113
  <=> e3 = op(op(e0,e3),op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_113])]) ).

fof(f2092,plain,
    ( spl74_112
    | ~ spl74_163
    | ~ spl74_211 ),
    inference(avatar_contradiction_clause,[],[f2091]) ).

fof(f2091,plain,
    ( $false
    | spl74_112
    | ~ spl74_163
    | ~ spl74_211 ),
    inference(subsumption_resolution,[],[f2090,f1258]) ).

fof(f2090,plain,
    ( e1 != op(e0,e3)
    | spl74_112
    | ~ spl74_211 ),
    inference(forward_demodulation,[],[f1051,f1529]) ).

fof(f1051,plain,
    ( e1 != op(e0,op(e0,e1))
    | spl74_112 ),
    inference(avatar_component_clause,[],[f1049]) ).

fof(f1049,plain,
    ( spl74_112
  <=> e1 = op(e0,op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_112])]) ).

fof(f2089,plain,
    ( spl74_111
    | ~ spl74_180
    | ~ spl74_186 ),
    inference(avatar_contradiction_clause,[],[f2088]) ).

fof(f2088,plain,
    ( $false
    | spl74_111
    | ~ spl74_180
    | ~ spl74_186 ),
    inference(subsumption_resolution,[],[f2087,f1379]) ).

fof(f2087,plain,
    ( e0 != op(e3,e2)
    | spl74_111
    | ~ spl74_180 ),
    inference(forward_demodulation,[],[f1047,f1348]) ).

fof(f1047,plain,
    ( e0 != op(e3,op(e3,e0))
    | spl74_111 ),
    inference(avatar_component_clause,[],[f1045]) ).

fof(f1045,plain,
    ( spl74_111
  <=> e0 = op(e3,op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_111])]) ).

fof(f2085,plain,
    ( spl74_109
    | ~ spl74_163
    | ~ spl74_211 ),
    inference(avatar_contradiction_clause,[],[f2084]) ).

fof(f2084,plain,
    ( $false
    | spl74_109
    | ~ spl74_163
    | ~ spl74_211 ),
    inference(subsumption_resolution,[],[f2083,f1529]) ).

fof(f2083,plain,
    ( e3 != op(e0,e1)
    | spl74_109
    | ~ spl74_163 ),
    inference(forward_demodulation,[],[f1039,f1258]) ).

fof(f1039,plain,
    ( e3 != op(e0,op(e0,e3))
    | spl74_109 ),
    inference(avatar_component_clause,[],[f1037]) ).

fof(f1037,plain,
    ( spl74_109
  <=> e3 = op(e0,op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_109])]) ).

fof(f2079,plain,
    ( spl74_108
    | ~ spl74_169
    | ~ spl74_180
    | ~ spl74_190 ),
    inference(avatar_contradiction_clause,[],[f2078]) ).

fof(f2078,plain,
    ( $false
    | spl74_108
    | ~ spl74_169
    | ~ spl74_180
    | ~ spl74_190 ),
    inference(subsumption_resolution,[],[f2077,f1348]) ).

fof(f2077,plain,
    ( e2 != op(e3,e0)
    | spl74_108
    | ~ spl74_169
    | ~ spl74_190 ),
    inference(forward_demodulation,[],[f2076,f1290]) ).

fof(f2076,plain,
    ( e2 != op(op(e1,e2),e0)
    | spl74_108
    | ~ spl74_190 ),
    inference(forward_demodulation,[],[f1035,f1403]) ).

fof(f1035,plain,
    ( e2 != op(op(e1,e2),op(e2,e1))
    | spl74_108 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f1033,plain,
    ( spl74_108
  <=> e2 = op(op(e1,e2),op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_108])]) ).

fof(f2074,plain,
    ( ~ spl74_27
    | spl74_106 ),
    inference(avatar_contradiction_clause,[],[f2073]) ).

fof(f2073,plain,
    ( $false
    | ~ spl74_27
    | spl74_106 ),
    inference(subsumption_resolution,[],[f2072,f684]) ).

fof(f684,plain,
    ( e2 = op(e2,e2)
    | ~ spl74_27 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f683,plain,
    ( spl74_27
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_27])]) ).

fof(f2072,plain,
    ( e2 != op(e2,e2)
    | ~ spl74_27
    | spl74_106 ),
    inference(forward_demodulation,[],[f1027,f684]) ).

fof(f1027,plain,
    ( e2 != op(op(e2,e2),op(e2,e2))
    | spl74_106 ),
    inference(avatar_component_clause,[],[f1025]) ).

fof(f1025,plain,
    ( spl74_106
  <=> e2 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_106])]) ).

fof(f2069,plain,
    ( spl74_104
    | ~ spl74_237 ),
    inference(avatar_contradiction_clause,[],[f2068]) ).

fof(f2068,plain,
    ( $false
    | spl74_104
    | ~ spl74_237 ),
    inference(subsumption_resolution,[],[f2067,f1696]) ).

fof(f2067,plain,
    ( e4 != op(e4,e4)
    | spl74_104
    | ~ spl74_237 ),
    inference(forward_demodulation,[],[f1019,f1696]) ).

fof(f1019,plain,
    ( e4 != op(op(e4,e4),op(e4,e4))
    | spl74_104 ),
    inference(avatar_component_clause,[],[f1017]) ).

fof(f1017,plain,
    ( spl74_104
  <=> e4 = op(op(e4,e4),op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_104])]) ).

fof(f2065,plain,
    ( spl74_103
    | ~ spl74_178
    | ~ spl74_188
    | ~ spl74_249 ),
    inference(avatar_contradiction_clause,[],[f2064]) ).

fof(f2064,plain,
    ( $false
    | spl74_103
    | ~ spl74_178
    | ~ spl74_188
    | ~ spl74_249 ),
    inference(subsumption_resolution,[],[f2063,f1389]) ).

fof(f1389,plain,
    ( e4 = op(e2,e3)
    | ~ spl74_188 ),
    inference(avatar_component_clause,[],[f1388]) ).

fof(f1388,plain,
    ( spl74_188
  <=> e4 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_188])]) ).

fof(f2063,plain,
    ( e4 != op(e2,e3)
    | spl74_103
    | ~ spl74_178
    | ~ spl74_249 ),
    inference(forward_demodulation,[],[f2062,f1941]) ).

fof(f2062,plain,
    ( e4 != op(op(e0,e4),e3)
    | spl74_103
    | ~ spl74_178 ),
    inference(forward_demodulation,[],[f1015,f1337]) ).

fof(f1015,plain,
    ( e4 != op(op(e0,e4),op(e4,e0))
    | spl74_103 ),
    inference(avatar_component_clause,[],[f1013]) ).

fof(f1013,plain,
    ( spl74_103
  <=> e4 = op(op(e0,e4),op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_103])]) ).

fof(f2061,plain,
    ( ~ spl74_4
    | spl74_102
    | ~ spl74_178 ),
    inference(avatar_contradiction_clause,[],[f2060]) ).

fof(f2060,plain,
    ( $false
    | ~ spl74_4
    | spl74_102
    | ~ spl74_178 ),
    inference(subsumption_resolution,[],[f2059,f1337]) ).

fof(f2059,plain,
    ( e3 != op(e4,e0)
    | ~ spl74_4
    | spl74_102 ),
    inference(forward_demodulation,[],[f1011,f580]) ).

fof(f1011,plain,
    ( e3 != op(e4,op(e4,e3))
    | spl74_102 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f1009,plain,
    ( spl74_102
  <=> e3 = op(e4,op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_102])]) ).

fof(f2055,plain,
    ( ~ spl74_48
    | spl74_101
    | ~ spl74_203
    | ~ spl74_222 ),
    inference(avatar_contradiction_clause,[],[f2054]) ).

fof(f2054,plain,
    ( $false
    | ~ spl74_48
    | spl74_101
    | ~ spl74_203
    | ~ spl74_222 ),
    inference(subsumption_resolution,[],[f2053,f1481]) ).

fof(f2053,plain,
    ( e4 != op(e3,e1)
    | ~ spl74_48
    | spl74_101
    | ~ spl74_222 ),
    inference(forward_demodulation,[],[f2052,f1591]) ).

fof(f2052,plain,
    ( e4 != op(op(e2,e4),e1)
    | ~ spl74_48
    | spl74_101 ),
    inference(forward_demodulation,[],[f1007,f780]) ).

fof(f1007,plain,
    ( e4 != op(op(e2,e4),op(e4,e2))
    | spl74_101 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f1005,plain,
    ( spl74_101
  <=> e4 = op(op(e2,e4),op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_101])]) ).

fof(f2050,plain,
    ( spl74_100
    | ~ spl74_216
    | ~ spl74_228 ),
    inference(avatar_contradiction_clause,[],[f2049]) ).

fof(f2049,plain,
    ( $false
    | spl74_100
    | ~ spl74_216
    | ~ spl74_228 ),
    inference(subsumption_resolution,[],[f2048,f1633]) ).

fof(f2048,plain,
    ( e4 != op(e1,e0)
    | spl74_100
    | ~ spl74_216 ),
    inference(forward_demodulation,[],[f1003,f1556]) ).

fof(f1003,plain,
    ( e4 != op(e1,op(e1,e4))
    | spl74_100 ),
    inference(avatar_component_clause,[],[f1001]) ).

fof(f1001,plain,
    ( spl74_100
  <=> e4 = op(e1,op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_100])]) ).

fof(f2047,plain,
    ( spl74_98
    | ~ spl74_165 ),
    inference(avatar_contradiction_clause,[],[f2046]) ).

fof(f2046,plain,
    ( $false
    | spl74_98
    | ~ spl74_165 ),
    inference(subsumption_resolution,[],[f2045,f1269]) ).

fof(f2045,plain,
    ( e0 != op(e0,e0)
    | spl74_98
    | ~ spl74_165 ),
    inference(forward_demodulation,[],[f995,f1269]) ).

fof(f995,plain,
    ( e0 != op(e0,op(e0,e0))
    | spl74_98 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f993,plain,
    ( spl74_98
  <=> e0 = op(e0,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_98])]) ).

fof(f2043,plain,
    ( spl74_97
    | ~ spl74_246
    | ~ spl74_249 ),
    inference(avatar_contradiction_clause,[],[f2042]) ).

fof(f2042,plain,
    ( $false
    | spl74_97
    | ~ spl74_246
    | ~ spl74_249 ),
    inference(subsumption_resolution,[],[f2041,f1820]) ).

fof(f2041,plain,
    ( e4 != op(e0,e2)
    | spl74_97
    | ~ spl74_249 ),
    inference(forward_demodulation,[],[f991,f1941]) ).

fof(f991,plain,
    ( e4 != op(e0,op(e0,e4))
    | spl74_97 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f989,plain,
    ( spl74_97
  <=> e4 = op(e0,op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_97])]) ).

fof(f2039,plain,
    ( spl74_96
    | ~ spl74_130 ),
    inference(avatar_contradiction_clause,[],[f2038]) ).

fof(f2038,plain,
    ( $false
    | spl74_96
    | ~ spl74_130 ),
    inference(subsumption_resolution,[],[f2037,f1122]) ).

fof(f2037,plain,
    ( e3 != op(e3,e3)
    | spl74_96
    | ~ spl74_130 ),
    inference(forward_demodulation,[],[f987,f1122]) ).

fof(f987,plain,
    ( e3 != op(e3,op(e3,e3))
    | spl74_96 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f985,plain,
    ( spl74_96
  <=> e3 = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_96])]) ).

fof(f2034,plain,
    ( spl74_93
    | ~ spl74_178
    | ~ spl74_186
    | ~ spl74_188 ),
    inference(avatar_contradiction_clause,[],[f2033]) ).

fof(f2033,plain,
    ( $false
    | spl74_93
    | ~ spl74_178
    | ~ spl74_186
    | ~ spl74_188 ),
    inference(subsumption_resolution,[],[f2032,f1337]) ).

fof(f2032,plain,
    ( e3 != op(e4,e0)
    | spl74_93
    | ~ spl74_186
    | ~ spl74_188 ),
    inference(forward_demodulation,[],[f2031,f1389]) ).

fof(f2031,plain,
    ( e3 != op(op(e2,e3),e0)
    | spl74_93
    | ~ spl74_186 ),
    inference(forward_demodulation,[],[f975,f1379]) ).

fof(f975,plain,
    ( e3 != op(op(e2,e3),op(e3,e2))
    | spl74_93 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f973,plain,
    ( spl74_93
  <=> e3 = op(op(e2,e3),op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_93])]) ).

fof(f2027,plain,
    ( spl74_92
    | ~ spl74_188
    | ~ spl74_222 ),
    inference(avatar_contradiction_clause,[],[f2026]) ).

fof(f2026,plain,
    ( $false
    | spl74_92
    | ~ spl74_188
    | ~ spl74_222 ),
    inference(subsumption_resolution,[],[f2025,f1389]) ).

fof(f2025,plain,
    ( e4 != op(e2,e3)
    | spl74_92
    | ~ spl74_222 ),
    inference(forward_demodulation,[],[f971,f1591]) ).

fof(f971,plain,
    ( e4 != op(e2,op(e2,e4))
    | spl74_92 ),
    inference(avatar_component_clause,[],[f969]) ).

fof(f969,plain,
    ( spl74_92
  <=> e4 = op(e2,op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_92])]) ).

fof(f2022,plain,
    ( ~ spl74_4
    | spl74_90
    | ~ spl74_211
    | ~ spl74_228 ),
    inference(avatar_contradiction_clause,[],[f2021]) ).

fof(f2021,plain,
    ( $false
    | ~ spl74_4
    | spl74_90
    | ~ spl74_211
    | ~ spl74_228 ),
    inference(subsumption_resolution,[],[f2020,f580]) ).

fof(f2020,plain,
    ( e0 != op(e4,e3)
    | spl74_90
    | ~ spl74_211
    | ~ spl74_228 ),
    inference(forward_demodulation,[],[f2019,f1633]) ).

fof(f2019,plain,
    ( e0 != op(op(e1,e0),e3)
    | spl74_90
    | ~ spl74_211 ),
    inference(forward_demodulation,[],[f963,f1529]) ).

fof(f963,plain,
    ( e0 != op(op(e1,e0),op(e0,e1))
    | spl74_90 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f961,plain,
    ( spl74_90
  <=> e0 = op(op(e1,e0),op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_90])]) ).

fof(f2018,plain,
    ( spl74_88
    | ~ spl74_178
    | ~ spl74_186
    | ~ spl74_249 ),
    inference(avatar_contradiction_clause,[],[f2017]) ).

fof(f2017,plain,
    ( $false
    | spl74_88
    | ~ spl74_178
    | ~ spl74_186
    | ~ spl74_249 ),
    inference(subsumption_resolution,[],[f2016,f1379]) ).

fof(f2016,plain,
    ( e0 != op(e3,e2)
    | spl74_88
    | ~ spl74_178
    | ~ spl74_249 ),
    inference(backward_demodulation,[],[f2013,f1941]) ).

fof(f2013,plain,
    ( e0 != op(e3,op(e0,e4))
    | spl74_88
    | ~ spl74_178 ),
    inference(forward_demodulation,[],[f955,f1337]) ).

fof(f955,plain,
    ( e0 != op(op(e4,e0),op(e0,e4))
    | spl74_88 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f953,plain,
    ( spl74_88
  <=> e0 = op(op(e4,e0),op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_88])]) ).

fof(f2009,plain,
    ( ~ spl74_222
    | spl74_84
    | ~ spl74_188 ),
    inference(avatar_split_clause,[],[f2008,f1388,f937,f1590]) ).

fof(f937,plain,
    ( spl74_84
  <=> e3 = op(e2,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_84])]) ).

fof(f2008,plain,
    ( e3 != op(e2,e4)
    | spl74_84
    | ~ spl74_188 ),
    inference(forward_demodulation,[],[f939,f1389]) ).

fof(f939,plain,
    ( e3 != op(e2,op(e2,e3))
    | spl74_84 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f2006,plain,
    ( ~ spl74_211
    | ~ spl74_4
    | ~ spl74_62
    | spl74_83 ),
    inference(avatar_split_clause,[],[f2005,f933,f845,f579,f1528]) ).

fof(f933,plain,
    ( spl74_83
  <=> e3 = op(op(e4,e3),op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_83])]) ).

fof(f2005,plain,
    ( e3 != op(e0,e1)
    | ~ spl74_4
    | ~ spl74_62
    | spl74_83 ),
    inference(forward_demodulation,[],[f2004,f580]) ).

fof(f2004,plain,
    ( e3 != op(op(e4,e3),e1)
    | ~ spl74_62
    | spl74_83 ),
    inference(forward_demodulation,[],[f935,f846]) ).

fof(f935,plain,
    ( e3 != op(op(e4,e3),op(e3,e4))
    | spl74_83 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f2003,plain,
    ( ~ spl74_27
    | spl74_82 ),
    inference(avatar_contradiction_clause,[],[f2002]) ).

fof(f2002,plain,
    ( $false
    | ~ spl74_27
    | spl74_82 ),
    inference(subsumption_resolution,[],[f2001,f684]) ).

fof(f2001,plain,
    ( e2 != op(e2,e2)
    | ~ spl74_27
    | spl74_82 ),
    inference(forward_demodulation,[],[f931,f684]) ).

fof(f931,plain,
    ( e2 != op(e2,op(e2,e2))
    | spl74_82 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f929,plain,
    ( spl74_82
  <=> e2 = op(e2,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_82])]) ).

fof(f1998,plain,
    ( spl74_81
    | ~ spl74_163
    | ~ spl74_169
    | ~ spl74_190 ),
    inference(avatar_contradiction_clause,[],[f1997]) ).

fof(f1997,plain,
    ( $false
    | spl74_81
    | ~ spl74_163
    | ~ spl74_169
    | ~ spl74_190 ),
    inference(subsumption_resolution,[],[f1996,f1258]) ).

fof(f1996,plain,
    ( e1 != op(e0,e3)
    | spl74_81
    | ~ spl74_169
    | ~ spl74_190 ),
    inference(forward_demodulation,[],[f1995,f1403]) ).

fof(f1995,plain,
    ( e1 != op(op(e2,e1),e3)
    | spl74_81
    | ~ spl74_169 ),
    inference(forward_demodulation,[],[f927,f1290]) ).

fof(f927,plain,
    ( e1 != op(op(e2,e1),op(e1,e2))
    | spl74_81 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f925,plain,
    ( spl74_81
  <=> e1 = op(op(e2,e1),op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_81])]) ).

fof(f1993,plain,
    ( ~ spl74_10
    | ~ spl74_48
    | spl74_79 ),
    inference(avatar_contradiction_clause,[],[f1992]) ).

fof(f1992,plain,
    ( $false
    | ~ spl74_10
    | ~ spl74_48
    | spl74_79 ),
    inference(subsumption_resolution,[],[f1991,f607]) ).

fof(f1991,plain,
    ( e2 != op(e4,e1)
    | ~ spl74_48
    | spl74_79 ),
    inference(forward_demodulation,[],[f919,f780]) ).

fof(f919,plain,
    ( e2 != op(e4,op(e4,e2))
    | spl74_79 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f917,plain,
    ( spl74_79
  <=> e2 = op(e4,op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_79])]) ).

fof(f1988,plain,
    ( ~ spl74_10
    | ~ spl74_48
    | spl74_77 ),
    inference(avatar_contradiction_clause,[],[f1987]) ).

fof(f1987,plain,
    ( $false
    | ~ spl74_10
    | ~ spl74_48
    | spl74_77 ),
    inference(subsumption_resolution,[],[f1986,f780]) ).

fof(f1986,plain,
    ( e1 != op(e4,e2)
    | ~ spl74_10
    | spl74_77 ),
    inference(forward_demodulation,[],[f911,f607]) ).

fof(f911,plain,
    ( e1 != op(e4,op(e4,e1))
    | spl74_77 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f909,plain,
    ( spl74_77
  <=> e1 = op(e4,op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_77])]) ).

fof(f1983,plain,
    ( ~ spl74_62
    | spl74_71
    | ~ spl74_203 ),
    inference(avatar_contradiction_clause,[],[f1982]) ).

fof(f1982,plain,
    ( $false
    | ~ spl74_62
    | spl74_71
    | ~ spl74_203 ),
    inference(subsumption_resolution,[],[f1981,f1481]) ).

fof(f1981,plain,
    ( e4 != op(e3,e1)
    | ~ spl74_62
    | spl74_71 ),
    inference(forward_demodulation,[],[f887,f846]) ).

fof(f887,plain,
    ( e4 != op(e3,op(e3,e4))
    | spl74_71 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f885,plain,
    ( spl74_71
  <=> e4 = op(e3,op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_71])]) ).

fof(f1977,plain,
    ( ~ spl74_48
    | spl74_70
    | ~ spl74_167
    | ~ spl74_203 ),
    inference(avatar_contradiction_clause,[],[f1976]) ).

fof(f1976,plain,
    ( $false
    | ~ spl74_48
    | spl74_70
    | ~ spl74_167
    | ~ spl74_203 ),
    inference(subsumption_resolution,[],[f1975,f780]) ).

fof(f1975,plain,
    ( e1 != op(e4,e2)
    | spl74_70
    | ~ spl74_167
    | ~ spl74_203 ),
    inference(forward_demodulation,[],[f1974,f1481]) ).

fof(f1974,plain,
    ( e1 != op(op(e3,e1),e2)
    | spl74_70
    | ~ spl74_167 ),
    inference(forward_demodulation,[],[f883,f1280]) ).

fof(f883,plain,
    ( e1 != op(op(e3,e1),op(e1,e3))
    | spl74_70 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f881,plain,
    ( spl74_70
  <=> e1 = op(op(e3,e1),op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_70])]) ).

fof(f1972,plain,
    ( ~ spl74_249
    | spl74_69
    | ~ spl74_186
    | ~ spl74_188 ),
    inference(avatar_split_clause,[],[f1971,f1388,f1378,f877,f1940]) ).

fof(f877,plain,
    ( spl74_69
  <=> e2 = op(op(e3,e2),op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_69])]) ).

fof(f1971,plain,
    ( e2 != op(e0,e4)
    | spl74_69
    | ~ spl74_186
    | ~ spl74_188 ),
    inference(forward_demodulation,[],[f1970,f1379]) ).

fof(f1970,plain,
    ( e2 != op(op(e3,e2),e4)
    | spl74_69
    | ~ spl74_188 ),
    inference(forward_demodulation,[],[f879,f1389]) ).

fof(f879,plain,
    ( e2 != op(op(e3,e2),op(e2,e3))
    | spl74_69 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f1969,plain,
    ( ~ spl74_62
    | spl74_68
    | ~ spl74_203 ),
    inference(avatar_contradiction_clause,[],[f1968]) ).

fof(f1968,plain,
    ( $false
    | ~ spl74_62
    | spl74_68
    | ~ spl74_203 ),
    inference(subsumption_resolution,[],[f1967,f846]) ).

fof(f1967,plain,
    ( e1 != op(e3,e4)
    | spl74_68
    | ~ spl74_203 ),
    inference(backward_demodulation,[],[f875,f1481]) ).

fof(f875,plain,
    ( e1 != op(e3,op(e3,e1))
    | spl74_68 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f873,plain,
    ( spl74_68
  <=> e1 = op(e3,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_68])]) ).

fof(f1963,plain,
    ( ~ spl74_228
    | ~ spl74_4
    | ~ spl74_62
    | spl74_91 ),
    inference(avatar_split_clause,[],[f1962,f965,f845,f579,f1632]) ).

fof(f965,plain,
    ( spl74_91
  <=> e4 = op(op(e3,e4),op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_91])]) ).

fof(f1962,plain,
    ( e4 != op(e1,e0)
    | ~ spl74_4
    | ~ spl74_62
    | spl74_91 ),
    inference(backward_demodulation,[],[f1961,f846]) ).

fof(f1961,plain,
    ( e4 != op(op(e3,e4),e0)
    | ~ spl74_4
    | spl74_91 ),
    inference(backward_demodulation,[],[f967,f580]) ).

fof(f967,plain,
    ( e4 != op(op(e3,e4),op(e4,e3))
    | spl74_91 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f1960,plain,
    spl74_187,
    inference(avatar_split_clause,[],[f189,f1383]) ).

fof(f189,plain,
    e1 = op(e2,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( e1 = op(e2,e0)
    & e4 = op(e2,e3)
    & e0 = op(e1,e4)
    & e1 = op(e4,e2)
    & e0 = op(e0,e0)
    & e4 = op(e3,e1)
    & e3 = op(e4,e0)
    & e1 = op(e0,e3)
    & e0 = op(e2,e1)
    & e1 = op(e1,e1)
    & e4 = op(e4,e4)
    & e3 = op(e3,e3)
    & e3 = op(e0,e1)
    & e1 = op(e3,e4)
    & e2 = op(e3,e0)
    & e4 = op(e0,e2)
    & e0 = op(e4,e3)
    & e2 = op(e4,e1)
    & e3 = op(e1,e2)
    & e2 = op(e1,e3)
    & e4 = op(e1,e0)
    & e0 = op(e3,e2)
    & e2 = op(e0,e4)
    & e2 = op(e2,e2)
    & e3 = op(e2,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f1959,plain,
    spl74_246,
    inference(avatar_split_clause,[],[f174,f1819]) ).

fof(f174,plain,
    e4 = op(e0,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1958,plain,
    spl74_228,
    inference(avatar_split_clause,[],[f169,f1632]) ).

fof(f169,plain,
    e4 = op(e1,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1957,plain,
    spl74_249,
    inference(avatar_split_clause,[],[f167,f1940]) ).

fof(f167,plain,
    e2 = op(e0,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1951,plain,
    ( ~ spl74_249
    | ~ spl74_86 ),
    inference(avatar_split_clause,[],[f314,f945,f1940]) ).

fof(f945,plain,
    ( spl74_86
  <=> sP49 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_86])]) ).

fof(f314,plain,
    ( ~ sP49
    | e2 != op(e0,e4) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ( ( e2 != op(e0,e4)
      & e4 != op(e0,e4)
      & e3 != op(e0,e4)
      & e1 != op(e0,e4)
      & e0 != op(e0,e4) )
    | ~ sP49 ),
    inference(nnf_transformation,[],[f55]) ).

fof(f55,plain,
    ( ( e2 != op(e0,e4)
      & e4 != op(e0,e4)
      & e3 != op(e0,e4)
      & e1 != op(e0,e4)
      & e0 != op(e0,e4) )
    | ~ sP49 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).

fof(f1950,plain,
    ( ~ spl74_35
    | ~ spl74_249 ),
    inference(avatar_split_clause,[],[f426,f1940,f721]) ).

fof(f721,plain,
    ( spl74_35
  <=> sP26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_35])]) ).

fof(f426,plain,
    ( e2 != op(e0,e4)
    | ~ sP26 ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ( ( e2 != op(e0,e2)
      & e2 != op(e0,e1)
      & e2 != op(e0,e0)
      & e2 != op(e0,e4)
      & e2 != op(e0,e3) )
    | ~ sP26 ),
    inference(nnf_transformation,[],[f32]) ).

fof(f32,plain,
    ( ( e2 != op(e0,e2)
      & e2 != op(e0,e1)
      & e2 != op(e0,e0)
      & e2 != op(e0,e4)
      & e2 != op(e0,e3) )
    | ~ sP26 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).

fof(f1944,plain,
    ( ~ spl74_163
    | ~ spl74_116 ),
    inference(avatar_split_clause,[],[f256,f1065,f1257]) ).

fof(f1065,plain,
    ( spl74_116
  <=> sP60 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_116])]) ).

fof(f256,plain,
    ( ~ sP60
    | e1 != op(e0,e3) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ( ( e1 != op(e0,e0)
      & e1 != op(e0,e1)
      & e1 != op(e0,e4)
      & e1 != op(e0,e3)
      & e1 != op(e0,e2) )
    | ~ sP60 ),
    inference(nnf_transformation,[],[f66]) ).

fof(f66,plain,
    ( ( e1 != op(e0,e0)
      & e1 != op(e0,e1)
      & e1 != op(e0,e4)
      & e1 != op(e0,e3)
      & e1 != op(e0,e2) )
    | ~ sP60 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).

fof(f1943,plain,
    ( ~ spl74_131
    | ~ spl74_249 ),
    inference(avatar_split_clause,[],[f418,f1940,f1125]) ).

fof(f1125,plain,
    ( spl74_131
  <=> sP28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_131])]) ).

fof(f418,plain,
    ( e2 != op(e0,e4)
    | ~ sP28 ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( ( e2 != op(e4,e4)
      & e2 != op(e0,e4)
      & e2 != op(e1,e4)
      & e2 != op(e2,e4)
      & e2 != op(e3,e4) )
    | ~ sP28 ),
    inference(nnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( ( e2 != op(e4,e4)
      & e2 != op(e0,e4)
      & e2 != op(e1,e4)
      & e2 != op(e2,e4)
      & e2 != op(e3,e4) )
    | ~ sP28 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).

fof(f1937,plain,
    spl74_186,
    inference(avatar_split_clause,[],[f168,f1378]) ).

fof(f168,plain,
    e0 = op(e3,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1933,plain,
    ( ~ spl74_74
    | ~ spl74_246 ),
    inference(avatar_split_clause,[],[f305,f1819,f897]) ).

fof(f897,plain,
    ( spl74_74
  <=> sP50 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_74])]) ).

fof(f305,plain,
    ( e4 != op(e0,e2)
    | ~ sP50 ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ( ( e2 != op(e0,e2)
      & e3 != op(e0,e2)
      & e1 != op(e0,e2)
      & e0 != op(e0,e2)
      & e4 != op(e0,e2) )
    | ~ sP50 ),
    inference(nnf_transformation,[],[f56]) ).

fof(f56,plain,
    ( ( e2 != op(e0,e2)
      & e3 != op(e0,e2)
      & e1 != op(e0,e2)
      & e0 != op(e0,e2)
      & e4 != op(e0,e2) )
    | ~ sP50 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).

fof(f1928,plain,
    ( ~ spl74_187
    | ~ spl74_29 ),
    inference(avatar_split_clause,[],[f507,f692,f1383]) ).

fof(f692,plain,
    ( spl74_29
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_29])]) ).

fof(f507,plain,
    ( ~ sP10
    | e1 != op(e2,e0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ( ( e4 != op(e2,e0)
      & e0 != op(e2,e0)
      & e1 != op(e2,e0)
      & e2 != op(e2,e0)
      & e3 != op(e2,e0) )
    | ~ sP10 ),
    inference(nnf_transformation,[],[f16]) ).

fof(f16,plain,
    ( ( e4 != op(e2,e0)
      & e0 != op(e2,e0)
      & e1 != op(e2,e0)
      & e2 != op(e2,e0)
      & e3 != op(e2,e0) )
    | ~ sP10 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f1922,plain,
    ( ~ spl74_246
    | ~ spl74_129 ),
    inference(avatar_split_clause,[],[f243,f1117,f1819]) ).

fof(f1117,plain,
    ( spl74_129
  <=> sP63 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_129])]) ).

fof(f243,plain,
    ( ~ sP63
    | e4 != op(e0,e2) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ( ( e4 != op(e4,e2)
      & e4 != op(e0,e2)
      & e4 != op(e3,e2)
      & e4 != op(e1,e2)
      & e4 != op(e2,e2) )
    | ~ sP63 ),
    inference(nnf_transformation,[],[f69]) ).

fof(f69,plain,
    ( ( e4 != op(e4,e2)
      & e4 != op(e0,e2)
      & e4 != op(e3,e2)
      & e4 != op(e1,e2)
      & e4 != op(e2,e2) )
    | ~ sP63 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).

fof(f1918,plain,
    spl74_211,
    inference(avatar_split_clause,[],[f177,f1528]) ).

fof(f177,plain,
    e3 = op(e0,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1910,plain,
    ( ~ spl74_50
    | ~ spl74_107 ),
    inference(avatar_split_clause,[],[f227,f1029,f788]) ).

fof(f1029,plain,
    ( spl74_107
  <=> sP66 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_107])]) ).

fof(f227,plain,
    ( ~ sP66
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ( ( e1 != op(e3,e1)
      & e1 != op(e2,e1)
      & e1 != op(e1,e1)
      & e1 != op(e0,e1)
      & e1 != op(e4,e1) )
    | ~ sP66 ),
    inference(nnf_transformation,[],[f72]) ).

fof(f72,plain,
    ( ( e1 != op(e3,e1)
      & e1 != op(e2,e1)
      & e1 != op(e1,e1)
      & e1 != op(e0,e1)
      & e1 != op(e4,e1) )
    | ~ sP66 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).

fof(f1907,plain,
    ( ~ spl74_159
    | ~ spl74_228 ),
    inference(avatar_split_clause,[],[f248,f1632,f1237]) ).

fof(f1237,plain,
    ( spl74_159
  <=> sP62 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_159])]) ).

fof(f248,plain,
    ( e4 != op(e1,e0)
    | ~ sP62 ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ( ( e2 != op(e1,e0)
      & e4 != op(e1,e0)
      & e0 != op(e1,e0)
      & e3 != op(e1,e0)
      & e1 != op(e1,e0) )
    | ~ sP62 ),
    inference(nnf_transformation,[],[f68]) ).

fof(f68,plain,
    ( ( e2 != op(e1,e0)
      & e4 != op(e1,e0)
      & e0 != op(e1,e0)
      & e3 != op(e1,e0)
      & e1 != op(e1,e0) )
    | ~ sP62 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).

fof(f1891,plain,
    spl74_216,
    inference(avatar_split_clause,[],[f187,f1555]) ).

fof(f187,plain,
    e0 = op(e1,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1885,plain,
    spl74_178,
    inference(avatar_split_clause,[],[f183,f1336]) ).

fof(f183,plain,
    e3 = op(e4,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1882,plain,
    ( ~ spl74_89
    | ~ spl74_211 ),
    inference(avatar_split_clause,[],[f534,f1528,f957]) ).

fof(f957,plain,
    ( spl74_89
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_89])]) ).

fof(f534,plain,
    ( e3 != op(e0,e1)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ( ( e3 != op(e0,e1)
      & e3 != op(e4,e1)
      & e3 != op(e3,e1)
      & e3 != op(e2,e1)
      & e3 != op(e1,e1) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f11]) ).

fof(f11,plain,
    ( ( e3 != op(e0,e1)
      & e3 != op(e4,e1)
      & e3 != op(e3,e1)
      & e3 != op(e2,e1)
      & e3 != op(e1,e1) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f1876,plain,
    ( ~ spl74_27
    | ~ spl74_5 ),
    inference(avatar_split_clause,[],[f459,f584,f683]) ).

fof(f584,plain,
    ( spl74_5
  <=> sP20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_5])]) ).

fof(f459,plain,
    ( ~ sP20
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ( ( e2 != op(e2,e2)
      & e2 != op(e2,e4)
      & e2 != op(e2,e3)
      & e2 != op(e2,e0)
      & e2 != op(e2,e1) )
    | ~ sP20 ),
    inference(nnf_transformation,[],[f26]) ).

fof(f26,plain,
    ( ( e2 != op(e2,e2)
      & e2 != op(e2,e4)
      & e2 != op(e2,e3)
      & e2 != op(e2,e0)
      & e2 != op(e2,e1) )
    | ~ sP20 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).

fof(f1874,plain,
    ( ~ spl74_26
    | ~ spl74_190 ),
    inference(avatar_split_clause,[],[f389,f1402,f678]) ).

fof(f678,plain,
    ( spl74_26
  <=> sP34 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_26])]) ).

fof(f389,plain,
    ( e0 != op(e2,e1)
    | ~ sP34 ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ( ( e0 != op(e2,e1)
      & e0 != op(e0,e1)
      & e0 != op(e3,e1)
      & e0 != op(e4,e1)
      & e0 != op(e1,e1) )
    | ~ sP34 ),
    inference(nnf_transformation,[],[f40]) ).

fof(f40,plain,
    ( ( e0 != op(e2,e1)
      & e0 != op(e0,e1)
      & e0 != op(e3,e1)
      & e0 != op(e4,e1)
      & e0 != op(e1,e1) )
    | ~ sP34 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).

fof(f1868,plain,
    ( ~ spl74_180
    | ~ spl74_143 ),
    inference(avatar_split_clause,[],[f473,f1173,f1347]) ).

fof(f1173,plain,
    ( spl74_143
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_143])]) ).

fof(f473,plain,
    ( ~ sP17
    | e2 != op(e3,e0) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ( ( e2 != op(e3,e4)
      & e2 != op(e3,e0)
      & e2 != op(e3,e3)
      & e2 != op(e3,e1)
      & e2 != op(e3,e2) )
    | ~ sP17 ),
    inference(nnf_transformation,[],[f23]) ).

fof(f23,plain,
    ( ( e2 != op(e3,e4)
      & e2 != op(e3,e0)
      & e2 != op(e3,e3)
      & e2 != op(e3,e1)
      & e2 != op(e3,e2) )
    | ~ sP17 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f1861,plain,
    spl74_130,
    inference(avatar_split_clause,[],[f178,f1121]) ).

fof(f178,plain,
    e3 = op(e3,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1853,plain,
    ( ~ spl74_117
    | ~ spl74_167 ),
    inference(avatar_split_clause,[],[f252,f1279,f1069]) ).

fof(f1069,plain,
    ( spl74_117
  <=> sP61 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_117])]) ).

fof(f252,plain,
    ( e2 != op(e1,e3)
    | ~ sP61 ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ( ( e2 != op(e1,e1)
      & e2 != op(e1,e2)
      & e2 != op(e1,e3)
      & e2 != op(e1,e4)
      & e2 != op(e1,e0) )
    | ~ sP61 ),
    inference(nnf_transformation,[],[f67]) ).

fof(f67,plain,
    ( ( e2 != op(e1,e1)
      & e2 != op(e1,e2)
      & e2 != op(e1,e3)
      & e2 != op(e1,e4)
      & e2 != op(e1,e0) )
    | ~ sP61 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).

fof(f1852,plain,
    ( ~ spl74_76
    | ~ spl74_211 ),
    inference(avatar_split_clause,[],[f486,f1528,f905]) ).

fof(f905,plain,
    ( spl74_76
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_76])]) ).

fof(f486,plain,
    ( e3 != op(e0,e1)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ( ( e4 != op(e0,e1)
      & e1 != op(e0,e1)
      & e2 != op(e0,e1)
      & e3 != op(e0,e1)
      & e0 != op(e0,e1) )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f20]) ).

fof(f20,plain,
    ( ( e4 != op(e0,e1)
      & e1 != op(e0,e1)
      & e2 != op(e0,e1)
      & e3 != op(e0,e1)
      & e0 != op(e0,e1) )
    | ~ sP14 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f1849,plain,
    ( ~ spl74_42
    | ~ spl74_186 ),
    inference(avatar_split_clause,[],[f210,f1378,f752]) ).

fof(f752,plain,
    ( spl74_42
  <=> sP69 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_42])]) ).

fof(f210,plain,
    ( e0 != op(e3,e2)
    | ~ sP69 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ( ( e2 != op(e3,e2)
      & e3 != op(e3,e2)
      & e1 != op(e3,e2)
      & e4 != op(e3,e2)
      & e0 != op(e3,e2) )
    | ~ sP69 ),
    inference(nnf_transformation,[],[f75]) ).

fof(f75,plain,
    ( ( e2 != op(e3,e2)
      & e3 != op(e3,e2)
      & e1 != op(e3,e2)
      & e4 != op(e3,e2)
      & e0 != op(e3,e2) )
    | ~ sP69 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).

fof(f1847,plain,
    ( ~ spl74_180
    | ~ spl74_43 ),
    inference(avatar_split_clause,[],[f278,f757,f1347]) ).

fof(f757,plain,
    ( spl74_43
  <=> sP56 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_43])]) ).

fof(f278,plain,
    ( ~ sP56
    | e2 != op(e3,e0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ( ( e2 != op(e0,e0)
      & e2 != op(e3,e0)
      & e2 != op(e4,e0)
      & e2 != op(e1,e0)
      & e2 != op(e2,e0) )
    | ~ sP56 ),
    inference(nnf_transformation,[],[f62]) ).

fof(f62,plain,
    ( ( e2 != op(e0,e0)
      & e2 != op(e3,e0)
      & e2 != op(e4,e0)
      & e2 != op(e1,e0)
      & e2 != op(e2,e0) )
    | ~ sP56 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).

fof(f1846,plain,
    ( ~ spl74_72
    | ~ spl74_27 ),
    inference(avatar_split_clause,[],[f405,f683,f889]) ).

fof(f889,plain,
    ( spl74_72
  <=> sP30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_72])]) ).

fof(f405,plain,
    ( e2 != op(e2,e2)
    | ~ sP30 ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ( ( e2 != op(e1,e2)
      & e2 != op(e4,e2)
      & e2 != op(e3,e2)
      & e2 != op(e0,e2)
      & e2 != op(e2,e2) )
    | ~ sP30 ),
    inference(nnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( ( e2 != op(e1,e2)
      & e2 != op(e4,e2)
      & e2 != op(e3,e2)
      & e2 != op(e0,e2)
      & e2 != op(e2,e2) )
    | ~ sP30 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).

fof(f1844,plain,
    ( ~ spl74_188
    | ~ spl74_22 ),
    inference(avatar_split_clause,[],[f548,f660,f1388]) ).

fof(f660,plain,
    ( spl74_22
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_22])]) ).

fof(f548,plain,
    ( ~ sP2
    | e4 != op(e2,e3) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ( ( e4 != op(e1,e3)
      & e4 != op(e2,e3)
      & e4 != op(e4,e3)
      & e4 != op(e3,e3)
      & e4 != op(e0,e3) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f8]) ).

fof(f8,plain,
    ( ( e4 != op(e1,e3)
      & e4 != op(e2,e3)
      & e4 != op(e4,e3)
      & e4 != op(e3,e3)
      & e4 != op(e0,e3) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f1842,plain,
    ( ~ spl74_38
    | ~ spl74_222 ),
    inference(avatar_split_clause,[],[f421,f1590,f734]) ).

fof(f734,plain,
    ( spl74_38
  <=> sP27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_38])]) ).

fof(f421,plain,
    ( e3 != op(e2,e4)
    | ~ sP27 ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ( ( e3 != op(e2,e3)
      & e3 != op(e2,e2)
      & e3 != op(e2,e1)
      & e3 != op(e2,e4)
      & e3 != op(e2,e0) )
    | ~ sP27 ),
    inference(nnf_transformation,[],[f33]) ).

fof(f33,plain,
    ( ( e3 != op(e2,e3)
      & e3 != op(e2,e2)
      & e3 != op(e2,e1)
      & e3 != op(e2,e4)
      & e3 != op(e2,e0) )
    | ~ sP27 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).

fof(f1839,plain,
    spl74_203,
    inference(avatar_split_clause,[],[f184,f1480]) ).

fof(f184,plain,
    e4 = op(e3,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1830,plain,
    spl74_237,
    inference(avatar_split_clause,[],[f179,f1695]) ).

fof(f179,plain,
    e4 = op(e4,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1827,plain,
    ( ~ spl74_203
    | ~ spl74_54 ),
    inference(avatar_split_clause,[],[f390,f808,f1480]) ).

fof(f808,plain,
    ( spl74_54
  <=> sP33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_54])]) ).

fof(f390,plain,
    ( ~ sP33
    | e4 != op(e3,e1) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ( ( e4 != op(e3,e2)
      & e4 != op(e3,e0)
      & e4 != op(e3,e3)
      & e4 != op(e3,e4)
      & e4 != op(e3,e1) )
    | ~ sP33 ),
    inference(nnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( ( e4 != op(e3,e2)
      & e4 != op(e3,e0)
      & e4 != op(e3,e3)
      & e4 != op(e3,e4)
      & e4 != op(e3,e1) )
    | ~ sP33 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).

fof(f1822,plain,
    ( ~ spl74_246
    | ~ spl74_153 ),
    inference(avatar_split_clause,[],[f374,f1213,f1819]) ).

fof(f1213,plain,
    ( spl74_153
  <=> sP37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_153])]) ).

fof(f374,plain,
    ( ~ sP37
    | e4 != op(e0,e2) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ( ( e4 != op(e0,e2)
      & e4 != op(e0,e0)
      & e4 != op(e0,e3)
      & e4 != op(e0,e4)
      & e4 != op(e0,e1) )
    | ~ sP37 ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( ( e4 != op(e0,e2)
      & e4 != op(e0,e0)
      & e4 != op(e0,e3)
      & e4 != op(e0,e4)
      & e4 != op(e0,e1) )
    | ~ sP37 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).

fof(f1809,plain,
    ( ~ spl74_188
    | ~ spl74_87 ),
    inference(avatar_split_clause,[],[f527,f949,f1388]) ).

fof(f949,plain,
    ( spl74_87
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_87])]) ).

fof(f527,plain,
    ( ~ sP6
    | e4 != op(e2,e3) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ( ( e0 != op(e2,e3)
      & e1 != op(e2,e3)
      & e4 != op(e2,e3)
      & e3 != op(e2,e3)
      & e2 != op(e2,e3) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f12]) ).

fof(f12,plain,
    ( ( e0 != op(e2,e3)
      & e1 != op(e2,e3)
      & e4 != op(e2,e3)
      & e3 != op(e2,e3)
      & e2 != op(e2,e3) )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f1787,plain,
    ( ~ spl74_10
    | ~ spl74_85 ),
    inference(avatar_split_clause,[],[f198,f941,f606]) ).

fof(f941,plain,
    ( spl74_85
  <=> sP72 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_85])]) ).

fof(f198,plain,
    ( ~ sP72
    | e2 != op(e4,e1) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ( ( e2 != op(e4,e2)
      & e2 != op(e4,e1)
      & e2 != op(e4,e0)
      & e2 != op(e4,e4)
      & e2 != op(e4,e3) )
    | ~ sP72 ),
    inference(nnf_transformation,[],[f78]) ).

fof(f78,plain,
    ( ( e2 != op(e4,e2)
      & e2 != op(e4,e1)
      & e2 != op(e4,e0)
      & e2 != op(e4,e4)
      & e2 != op(e4,e3) )
    | ~ sP72 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).

fof(f1777,plain,
    spl74_62,
    inference(avatar_split_clause,[],[f176,f845]) ).

fof(f176,plain,
    e1 = op(e3,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1776,plain,
    ( ~ spl74_31
    | ~ spl74_237 ),
    inference(avatar_split_clause,[],[f511,f1695,f702]) ).

fof(f702,plain,
    ( spl74_31
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_31])]) ).

fof(f511,plain,
    ( e4 != op(e4,e4)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ( ( e4 != op(e4,e3)
      & e4 != op(e4,e1)
      & e4 != op(e4,e0)
      & e4 != op(e4,e4)
      & e4 != op(e4,e2) )
    | ~ sP9 ),
    inference(nnf_transformation,[],[f15]) ).

fof(f15,plain,
    ( ( e4 != op(e4,e3)
      & e4 != op(e4,e1)
      & e4 != op(e4,e0)
      & e4 != op(e4,e4)
      & e4 != op(e4,e2) )
    | ~ sP9 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f1775,plain,
    ( ~ spl74_178
    | ~ spl74_95 ),
    inference(avatar_split_clause,[],[f192,f981,f1336]) ).

fof(f981,plain,
    ( spl74_95
  <=> sP73 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_95])]) ).

fof(f192,plain,
    ( ~ sP73
    | e3 != op(e4,e0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ( ( e3 != op(e2,e0)
      & e3 != op(e1,e0)
      & e3 != op(e4,e0)
      & e3 != op(e0,e0)
      & e3 != op(e3,e0) )
    | ~ sP73 ),
    inference(nnf_transformation,[],[f79]) ).

fof(f79,plain,
    ( ( e3 != op(e2,e0)
      & e3 != op(e1,e0)
      & e3 != op(e4,e0)
      & e3 != op(e0,e0)
      & e3 != op(e3,e0) )
    | ~ sP73 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).

fof(f1755,plain,
    spl74_10,
    inference(avatar_split_clause,[],[f172,f606]) ).

fof(f172,plain,
    e2 = op(e4,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1752,plain,
    ( ~ spl74_190
    | ~ spl74_135 ),
    inference(avatar_split_clause,[],[f282,f1141,f1402]) ).

fof(f1141,plain,
    ( spl74_135
  <=> sP55 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_135])]) ).

fof(f282,plain,
    ( ~ sP55
    | e0 != op(e2,e1) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ( ( e0 != op(e2,e4)
      & e0 != op(e2,e3)
      & e0 != op(e2,e1)
      & e0 != op(e2,e0)
      & e0 != op(e2,e2) )
    | ~ sP55 ),
    inference(nnf_transformation,[],[f61]) ).

fof(f61,plain,
    ( ( e0 != op(e2,e4)
      & e0 != op(e2,e3)
      & e0 != op(e2,e1)
      & e0 != op(e2,e0)
      & e0 != op(e2,e2) )
    | ~ sP55 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).

fof(f1748,plain,
    spl74_222,
    inference(avatar_split_clause,[],[f165,f1590]) ).

fof(f165,plain,
    e3 = op(e2,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1747,plain,
    ( ~ spl74_187
    | ~ spl74_18 ),
    inference(avatar_split_clause,[],[f327,f642,f1383]) ).

fof(f642,plain,
    ( spl74_18
  <=> sP46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_18])]) ).

fof(f327,plain,
    ( ~ sP46
    | e1 != op(e2,e0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ( ( e1 != op(e2,e3)
      & e1 != op(e2,e4)
      & e1 != op(e2,e0)
      & e1 != op(e2,e2)
      & e1 != op(e2,e1) )
    | ~ sP46 ),
    inference(nnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( ( e1 != op(e2,e3)
      & e1 != op(e2,e4)
      & e1 != op(e2,e0)
      & e1 != op(e2,e2)
      & e1 != op(e2,e1) )
    | ~ sP46 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).

fof(f1746,plain,
    ( ~ spl74_121
    | ~ spl74_169 ),
    inference(avatar_split_clause,[],[f266,f1289,f1085]) ).

fof(f1085,plain,
    ( spl74_121
  <=> sP58 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_121])]) ).

fof(f266,plain,
    ( e3 != op(e1,e2)
    | ~ sP58 ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ( ( e4 != op(e1,e2)
      & e0 != op(e1,e2)
      & e2 != op(e1,e2)
      & e3 != op(e1,e2)
      & e1 != op(e1,e2) )
    | ~ sP58 ),
    inference(nnf_transformation,[],[f64]) ).

fof(f64,plain,
    ( ( e4 != op(e1,e2)
      & e0 != op(e1,e2)
      & e2 != op(e1,e2)
      & e3 != op(e1,e2)
      & e1 != op(e1,e2) )
    | ~ sP58 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).

fof(f1740,plain,
    ( ~ spl74_237
    | ~ spl74_158 ),
    inference(avatar_split_clause,[],[f463,f1233,f1695]) ).

fof(f1233,plain,
    ( spl74_158
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_158])]) ).

fof(f463,plain,
    ( ~ sP19
    | e4 != op(e4,e4) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ( ( e0 != op(e4,e4)
      & e4 != op(e4,e4)
      & e2 != op(e4,e4)
      & e3 != op(e4,e4)
      & e1 != op(e4,e4) )
    | ~ sP19 ),
    inference(nnf_transformation,[],[f25]) ).

fof(f25,plain,
    ( ( e0 != op(e4,e4)
      & e4 != op(e4,e4)
      & e2 != op(e4,e4)
      & e3 != op(e4,e4)
      & e1 != op(e4,e4) )
    | ~ sP19 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).

fof(f1738,plain,
    ( ~ spl74_20
    | ~ spl74_10 ),
    inference(avatar_split_clause,[],[f557,f606,f651]) ).

fof(f651,plain,
    ( spl74_20
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_20])]) ).

fof(f557,plain,
    ( e2 != op(e4,e1)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ( ( e3 != op(e4,e1)
      & e1 != op(e4,e1)
      & e2 != op(e4,e1)
      & e0 != op(e4,e1)
      & e4 != op(e4,e1) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( e3 != op(e4,e1)
      & e1 != op(e4,e1)
      & e2 != op(e4,e1)
      & e0 != op(e4,e1)
      & e4 != op(e4,e1) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f1736,plain,
    ( ~ spl74_125
    | ~ spl74_62 ),
    inference(avatar_split_clause,[],[f491,f845,f1101]) ).

fof(f1101,plain,
    ( spl74_125
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_125])]) ).

fof(f491,plain,
    ( e1 != op(e3,e4)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ( ( e1 != op(e0,e4)
      & e1 != op(e4,e4)
      & e1 != op(e2,e4)
      & e1 != op(e3,e4)
      & e1 != op(e1,e4) )
    | ~ sP13 ),
    inference(nnf_transformation,[],[f19]) ).

fof(f19,plain,
    ( ( e1 != op(e0,e4)
      & e1 != op(e4,e4)
      & e1 != op(e2,e4)
      & e1 != op(e3,e4)
      & e1 != op(e1,e4) )
    | ~ sP13 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f1734,plain,
    ( ~ spl74_133
    | ~ spl74_50 ),
    inference(avatar_split_clause,[],[f538,f788,f1133]) ).

fof(f1133,plain,
    ( spl74_133
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_133])]) ).

fof(f538,plain,
    ( e1 != op(e1,e1)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ( ( e1 != op(e1,e4)
      & e1 != op(e1,e1)
      & e1 != op(e1,e3)
      & e1 != op(e1,e2)
      & e1 != op(e1,e0) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f10]) ).

fof(f10,plain,
    ( ( e1 != op(e1,e4)
      & e1 != op(e1,e1)
      & e1 != op(e1,e3)
      & e1 != op(e1,e2)
      & e1 != op(e1,e0) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f1733,plain,
    ( ~ spl74_4
    | ~ spl74_149 ),
    inference(avatar_split_clause,[],[f348,f1197,f579]) ).

fof(f1197,plain,
    ( spl74_149
  <=> sP42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_149])]) ).

fof(f348,plain,
    ( ~ sP42
    | e0 != op(e4,e3) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ( ( e0 != op(e0,e3)
      & e0 != op(e4,e3)
      & e0 != op(e2,e3)
      & e0 != op(e3,e3)
      & e0 != op(e1,e3) )
    | ~ sP42 ),
    inference(nnf_transformation,[],[f48]) ).

fof(f48,plain,
    ( ( e0 != op(e0,e3)
      & e0 != op(e4,e3)
      & e0 != op(e2,e3)
      & e0 != op(e3,e3)
      & e0 != op(e1,e3) )
    | ~ sP42 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).

fof(f1720,plain,
    spl74_50,
    inference(avatar_split_clause,[],[f180,f788]) ).

fof(f180,plain,
    e1 = op(e1,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1715,plain,
    ( ~ spl74_169
    | ~ spl74_16 ),
    inference(avatar_split_clause,[],[f231,f633,f1289]) ).

fof(f633,plain,
    ( spl74_16
  <=> sP65 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_16])]) ).

fof(f231,plain,
    ( ~ sP65
    | e3 != op(e1,e2) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ( ( e3 != op(e4,e2)
      & e3 != op(e2,e2)
      & e3 != op(e3,e2)
      & e3 != op(e1,e2)
      & e3 != op(e0,e2) )
    | ~ sP65 ),
    inference(nnf_transformation,[],[f71]) ).

fof(f71,plain,
    ( ( e3 != op(e4,e2)
      & e3 != op(e2,e2)
      & e3 != op(e3,e2)
      & e3 != op(e1,e2)
      & e3 != op(e0,e2) )
    | ~ sP65 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).

fof(f1712,plain,
    ( ~ spl74_105
    | ~ spl74_130 ),
    inference(avatar_split_clause,[],[f315,f1121,f1021]) ).

fof(f1021,plain,
    ( spl74_105
  <=> sP48 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_105])]) ).

fof(f315,plain,
    ( e3 != op(e3,e3)
    | ~ sP48 ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ( ( e4 != op(e3,e3)
      & e1 != op(e3,e3)
      & e2 != op(e3,e3)
      & e0 != op(e3,e3)
      & e3 != op(e3,e3) )
    | ~ sP48 ),
    inference(nnf_transformation,[],[f54]) ).

fof(f54,plain,
    ( ( e4 != op(e3,e3)
      & e1 != op(e3,e3)
      & e2 != op(e3,e3)
      & e0 != op(e3,e3)
      & e3 != op(e3,e3) )
    | ~ sP48 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).

fof(f1698,plain,
    ( ~ spl74_118
    | ~ spl74_237 ),
    inference(avatar_split_clause,[],[f342,f1695,f1073]) ).

fof(f1073,plain,
    ( spl74_118
  <=> sP43 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_118])]) ).

fof(f342,plain,
    ( e4 != op(e4,e4)
    | ~ sP43 ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ( ( e4 != op(e0,e4)
      & e4 != op(e1,e4)
      & e4 != op(e4,e4)
      & e4 != op(e2,e4)
      & e4 != op(e3,e4) )
    | ~ sP43 ),
    inference(nnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( ( e4 != op(e0,e4)
      & e4 != op(e1,e4)
      & e4 != op(e4,e4)
      & e4 != op(e2,e4)
      & e4 != op(e3,e4) )
    | ~ sP43 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).

fof(f1693,plain,
    ( ~ spl74_124
    | ~ spl74_203 ),
    inference(avatar_split_clause,[],[f353,f1480,f1097]) ).

fof(f1097,plain,
    ( spl74_124
  <=> sP41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_124])]) ).

fof(f353,plain,
    ( e4 != op(e3,e1)
    | ~ sP41 ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ( ( e4 != op(e1,e1)
      & e4 != op(e3,e1)
      & e4 != op(e4,e1)
      & e4 != op(e0,e1)
      & e4 != op(e2,e1) )
    | ~ sP41 ),
    inference(nnf_transformation,[],[f47]) ).

fof(f47,plain,
    ( ( e4 != op(e1,e1)
      & e4 != op(e3,e1)
      & e4 != op(e4,e1)
      & e4 != op(e0,e1)
      & e4 != op(e2,e1) )
    | ~ sP41 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).

fof(f1691,plain,
    spl74_169,
    inference(avatar_split_clause,[],[f171,f1289]) ).

fof(f171,plain,
    e3 = op(e1,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1683,plain,
    spl74_167,
    inference(avatar_split_clause,[],[f170,f1279]) ).

fof(f170,plain,
    e2 = op(e1,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1676,plain,
    ( ~ spl74_137
    | ~ spl74_228 ),
    inference(avatar_split_clause,[],[f482,f1632,f1149]) ).

fof(f1149,plain,
    ( spl74_137
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_137])]) ).

fof(f482,plain,
    ( e4 != op(e1,e0)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ( ( e4 != op(e1,e4)
      & e4 != op(e1,e1)
      & e4 != op(e1,e0)
      & e4 != op(e1,e3)
      & e4 != op(e1,e2) )
    | ~ sP15 ),
    inference(nnf_transformation,[],[f21]) ).

fof(f21,plain,
    ( ( e4 != op(e1,e4)
      & e4 != op(e1,e1)
      & e4 != op(e1,e0)
      & e4 != op(e1,e3)
      & e4 != op(e1,e2) )
    | ~ sP15 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f1675,plain,
    ( ~ spl74_61
    | ~ spl74_222 ),
    inference(avatar_split_clause,[],[f296,f1590,f840]) ).

fof(f840,plain,
    ( spl74_61
  <=> sP52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_61])]) ).

fof(f296,plain,
    ( e3 != op(e2,e4)
    | ~ sP52 ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ( ( e3 != op(e0,e4)
      & e3 != op(e3,e4)
      & e3 != op(e1,e4)
      & e3 != op(e2,e4)
      & e3 != op(e4,e4) )
    | ~ sP52 ),
    inference(nnf_transformation,[],[f58]) ).

fof(f58,plain,
    ( ( e3 != op(e0,e4)
      & e3 != op(e3,e4)
      & e3 != op(e1,e4)
      & e3 != op(e2,e4)
      & e3 != op(e4,e4) )
    | ~ sP52 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).

fof(f1674,plain,
    ( ~ spl74_216
    | ~ spl74_150 ),
    inference(avatar_split_clause,[],[f216,f1201,f1555]) ).

fof(f1201,plain,
    ( spl74_150
  <=> sP68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_150])]) ).

fof(f216,plain,
    ( ~ sP68
    | e0 != op(e1,e4) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ( ( e0 != op(e1,e3)
      & e0 != op(e1,e2)
      & e0 != op(e1,e0)
      & e0 != op(e1,e4)
      & e0 != op(e1,e1) )
    | ~ sP68 ),
    inference(nnf_transformation,[],[f74]) ).

fof(f74,plain,
    ( ( e0 != op(e1,e3)
      & e0 != op(e1,e2)
      & e0 != op(e1,e0)
      & e0 != op(e1,e4)
      & e0 != op(e1,e1) )
    | ~ sP68 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).

fof(f1650,plain,
    spl74_27,
    inference(avatar_split_clause,[],[f166,f683]) ).

fof(f166,plain,
    e2 = op(e2,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1635,plain,
    ( ~ spl74_228
    | ~ spl74_147 ),
    inference(avatar_split_clause,[],[f498,f1189,f1632]) ).

fof(f1189,plain,
    ( spl74_147
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_147])]) ).

fof(f498,plain,
    ( ~ sP12
    | e4 != op(e1,e0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ( ( e4 != op(e0,e0)
      & e4 != op(e1,e0)
      & e4 != op(e4,e0)
      & e4 != op(e3,e0)
      & e4 != op(e2,e0) )
    | ~ sP12 ),
    inference(nnf_transformation,[],[f18]) ).

fof(f18,plain,
    ( ( e4 != op(e0,e0)
      & e4 != op(e1,e0)
      & e4 != op(e4,e0)
      & e4 != op(e3,e0)
      & e4 != op(e2,e0) )
    | ~ sP12 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f1629,plain,
    ( ~ spl74_45
    | ~ spl74_186 ),
    inference(avatar_split_clause,[],[f205,f1378,f766]) ).

fof(f766,plain,
    ( spl74_45
  <=> sP70 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_45])]) ).

fof(f205,plain,
    ( e0 != op(e3,e2)
    | ~ sP70 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ( ( e0 != op(e2,e2)
      & e0 != op(e4,e2)
      & e0 != op(e0,e2)
      & e0 != op(e1,e2)
      & e0 != op(e3,e2) )
    | ~ sP70 ),
    inference(nnf_transformation,[],[f76]) ).

fof(f76,plain,
    ( ( e0 != op(e2,e2)
      & e0 != op(e4,e2)
      & e0 != op(e0,e2)
      & e0 != op(e1,e2)
      & e0 != op(e3,e2) )
    | ~ sP70 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).

fof(f1619,plain,
    ( ~ spl74_56
    | ~ spl74_216 ),
    inference(avatar_split_clause,[],[f430,f1555,f817]) ).

fof(f817,plain,
    ( spl74_56
  <=> sP25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_56])]) ).

fof(f430,plain,
    ( e0 != op(e1,e4)
    | ~ sP25 ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ( ( e2 != op(e1,e4)
      & e1 != op(e1,e4)
      & e3 != op(e1,e4)
      & e4 != op(e1,e4)
      & e0 != op(e1,e4) )
    | ~ sP25 ),
    inference(nnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( ( e2 != op(e1,e4)
      & e1 != op(e1,e4)
      & e3 != op(e1,e4)
      & e4 != op(e1,e4)
      & e0 != op(e1,e4) )
    | ~ sP25 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).

fof(f1606,plain,
    ( ~ spl74_73
    | ~ spl74_48 ),
    inference(avatar_split_clause,[],[f502,f779,f893]) ).

fof(f893,plain,
    ( spl74_73
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_73])]) ).

fof(f502,plain,
    ( e1 != op(e4,e2)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ( ( e1 != op(e4,e0)
      & e1 != op(e4,e3)
      & e1 != op(e4,e2)
      & e1 != op(e4,e4)
      & e1 != op(e4,e1) )
    | ~ sP11 ),
    inference(nnf_transformation,[],[f17]) ).

fof(f17,plain,
    ( ( e1 != op(e4,e0)
      & e1 != op(e4,e3)
      & e1 != op(e4,e2)
      & e1 != op(e4,e4)
      & e1 != op(e4,e1) )
    | ~ sP11 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f1593,plain,
    ( ~ spl74_222
    | ~ spl74_59 ),
    inference(avatar_split_clause,[],[f294,f831,f1590]) ).

fof(f831,plain,
    ( spl74_59
  <=> sP53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_59])]) ).

fof(f294,plain,
    ( ~ sP53
    | e3 != op(e2,e4) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ( ( e3 != op(e2,e4)
      & e2 != op(e2,e4)
      & e1 != op(e2,e4)
      & e0 != op(e2,e4)
      & e4 != op(e2,e4) )
    | ~ sP53 ),
    inference(nnf_transformation,[],[f59]) ).

fof(f59,plain,
    ( ( e3 != op(e2,e4)
      & e2 != op(e2,e4)
      & e1 != op(e2,e4)
      & e0 != op(e2,e4)
      & e4 != op(e2,e4) )
    | ~ sP53 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).

fof(f1587,plain,
    ( ~ spl74_151
    | ~ spl74_130 ),
    inference(avatar_split_clause,[],[f272,f1121,f1205]) ).

fof(f1205,plain,
    ( spl74_151
  <=> sP57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_151])]) ).

fof(f272,plain,
    ( e3 != op(e3,e3)
    | ~ sP57 ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ( ( e3 != op(e3,e1)
      & e3 != op(e3,e2)
      & e3 != op(e3,e3)
      & e3 != op(e3,e4)
      & e3 != op(e3,e0) )
    | ~ sP57 ),
    inference(nnf_transformation,[],[f63]) ).

fof(f63,plain,
    ( ( e3 != op(e3,e1)
      & e3 != op(e3,e2)
      & e3 != op(e3,e3)
      & e3 != op(e3,e4)
      & e3 != op(e3,e0) )
    | ~ sP57 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).

fof(f1558,plain,
    ( ~ spl74_126
    | ~ spl74_216 ),
    inference(avatar_split_clause,[],[f441,f1555,f1105]) ).

fof(f1105,plain,
    ( spl74_126
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_126])]) ).

fof(f441,plain,
    ( e0 != op(e1,e4)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ( ( e0 != op(e0,e4)
      & e0 != op(e3,e4)
      & e0 != op(e2,e4)
      & e0 != op(e1,e4)
      & e0 != op(e4,e4) )
    | ~ sP23 ),
    inference(nnf_transformation,[],[f29]) ).

fof(f29,plain,
    ( ( e0 != op(e0,e4)
      & e0 != op(e3,e4)
      & e0 != op(e2,e4)
      & e0 != op(e1,e4)
      & e0 != op(e4,e4) )
    | ~ sP23 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).

fof(f1531,plain,
    ( ~ spl74_211
    | ~ spl74_152 ),
    inference(avatar_split_clause,[],[f453,f1209,f1528]) ).

fof(f1209,plain,
    ( spl74_152
  <=> sP21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_152])]) ).

fof(f453,plain,
    ( ~ sP21
    | e3 != op(e0,e1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ( ( e3 != op(e0,e2)
      & e3 != op(e0,e1)
      & e3 != op(e0,e0)
      & e3 != op(e0,e4)
      & e3 != op(e0,e3) )
    | ~ sP21 ),
    inference(nnf_transformation,[],[f27]) ).

fof(f27,plain,
    ( ( e3 != op(e0,e2)
      & e3 != op(e0,e1)
      & e3 != op(e0,e0)
      & e3 != op(e0,e4)
      & e3 != op(e0,e3) )
    | ~ sP21 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).

fof(f1520,plain,
    ( ~ spl74_165
    | ~ spl74_110 ),
    inference(avatar_split_clause,[],[f520,f1041,f1268]) ).

fof(f1041,plain,
    ( spl74_110
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_110])]) ).

fof(f520,plain,
    ( ~ sP7
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ( ( e0 != op(e0,e1)
      & e0 != op(e0,e4)
      & e0 != op(e0,e3)
      & e0 != op(e0,e2)
      & e0 != op(e0,e0) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f13]) ).

fof(f13,plain,
    ( ( e0 != op(e0,e1)
      & e0 != op(e0,e4)
      & e0 != op(e0,e3)
      & e0 != op(e0,e2)
      & e0 != op(e0,e0) )
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f1518,plain,
    spl74_163,
    inference(avatar_split_clause,[],[f182,f1257]) ).

fof(f182,plain,
    e1 = op(e0,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1490,plain,
    ( ~ spl74_58
    | ~ spl74_165 ),
    inference(avatar_split_clause,[],[f330,f1268,f826]) ).

fof(f826,plain,
    ( spl74_58
  <=> sP45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_58])]) ).

fof(f330,plain,
    ( e0 != op(e0,e0)
    | ~ sP45 ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ( ( e3 != op(e0,e0)
      & e2 != op(e0,e0)
      & e1 != op(e0,e0)
      & e4 != op(e0,e0)
      & e0 != op(e0,e0) )
    | ~ sP45 ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ( ( e3 != op(e0,e0)
      & e2 != op(e0,e0)
      & e1 != op(e0,e0)
      & e4 != op(e0,e0)
      & e0 != op(e0,e0) )
    | ~ sP45 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).

fof(f1483,plain,
    ( ~ spl74_203
    | ~ spl74_120 ),
    inference(avatar_split_clause,[],[f541,f1081,f1480]) ).

fof(f1081,plain,
    ( spl74_120
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_120])]) ).

fof(f541,plain,
    ( ~ sP3
    | e4 != op(e3,e1) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ( ( e2 != op(e3,e1)
      & e3 != op(e3,e1)
      & e1 != op(e3,e1)
      & e4 != op(e3,e1)
      & e0 != op(e3,e1) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f9]) ).

fof(f9,plain,
    ( ( e2 != op(e3,e1)
      & e3 != op(e3,e1)
      & e1 != op(e3,e1)
      & e4 != op(e3,e1)
      & e0 != op(e3,e1) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f1478,plain,
    spl74_48,
    inference(avatar_split_clause,[],[f186,f779]) ).

fof(f186,plain,
    e1 = op(e4,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1477,plain,
    spl74_188,
    inference(avatar_split_clause,[],[f188,f1388]) ).

fof(f188,plain,
    e4 = op(e2,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1476,plain,
    ( ~ spl74_14
    | ~ spl74_48 ),
    inference(avatar_split_clause,[],[f410,f779,f624]) ).

fof(f624,plain,
    ( spl74_14
  <=> sP29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_14])]) ).

fof(f410,plain,
    ( e1 != op(e4,e2)
    | ~ sP29 ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ( ( e1 != op(e0,e2)
      & e1 != op(e3,e2)
      & e1 != op(e1,e2)
      & e1 != op(e2,e2)
      & e1 != op(e4,e2) )
    | ~ sP29 ),
    inference(nnf_transformation,[],[f35]) ).

fof(f35,plain,
    ( ( e1 != op(e0,e2)
      & e1 != op(e3,e2)
      & e1 != op(e1,e2)
      & e1 != op(e2,e2)
      & e1 != op(e4,e2) )
    | ~ sP29 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).

fof(f1475,plain,
    spl74_165,
    inference(avatar_split_clause,[],[f185,f1268]) ).

fof(f185,plain,
    e0 = op(e0,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1474,plain,
    ( ~ spl74_80
    | ~ spl74_4 ),
    inference(avatar_split_clause,[],[f224,f579,f921]) ).

fof(f921,plain,
    ( spl74_80
  <=> sP67 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_80])]) ).

fof(f224,plain,
    ( e0 != op(e4,e3)
    | ~ sP67 ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ( ( e0 != op(e4,e3)
      & e0 != op(e4,e2)
      & e0 != op(e4,e4)
      & e0 != op(e4,e1)
      & e0 != op(e4,e0) )
    | ~ sP67 ),
    inference(nnf_transformation,[],[f73]) ).

fof(f73,plain,
    ( ( e0 != op(e4,e3)
      & e0 != op(e4,e2)
      & e0 != op(e4,e4)
      & e0 != op(e4,e1)
      & e0 != op(e4,e0) )
    | ~ sP67 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).

fof(f1472,plain,
    spl74_180,
    inference(avatar_split_clause,[],[f175,f1347]) ).

fof(f175,plain,
    e2 = op(e3,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1465,plain,
    ( ~ spl74_78
    | ~ spl74_167 ),
    inference(avatar_split_clause,[],[f465,f1279,f913]) ).

fof(f913,plain,
    ( spl74_78
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_78])]) ).

fof(f465,plain,
    ( e2 != op(e1,e3)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ( ( e3 != op(e1,e3)
      & e0 != op(e1,e3)
      & e4 != op(e1,e3)
      & e1 != op(e1,e3)
      & e2 != op(e1,e3) )
    | ~ sP18 ),
    inference(nnf_transformation,[],[f24]) ).

fof(f24,plain,
    ( ( e3 != op(e1,e3)
      & e0 != op(e1,e3)
      & e4 != op(e1,e3)
      & e1 != op(e1,e3)
      & e2 != op(e1,e3) )
    | ~ sP18 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

fof(f1411,plain,
    spl74_190,
    inference(avatar_split_clause,[],[f181,f1402]) ).

fof(f181,plain,
    e0 = op(e2,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1405,plain,
    ( ~ spl74_190
    | ~ spl74_139 ),
    inference(avatar_split_clause,[],[f286,f1157,f1402]) ).

fof(f1157,plain,
    ( spl74_139
  <=> sP54 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_139])]) ).

fof(f286,plain,
    ( ~ sP54
    | e0 != op(e2,e1) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ( ( e4 != op(e2,e1)
      & e1 != op(e2,e1)
      & e3 != op(e2,e1)
      & e0 != op(e2,e1)
      & e2 != op(e2,e1) )
    | ~ sP54 ),
    inference(nnf_transformation,[],[f60]) ).

fof(f60,plain,
    ( ( e4 != op(e2,e1)
      & e1 != op(e2,e1)
      & e3 != op(e2,e1)
      & e0 != op(e2,e1)
      & e2 != op(e2,e1) )
    | ~ sP54 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).

fof(f1398,plain,
    spl74_4,
    inference(avatar_split_clause,[],[f173,f579]) ).

fof(f173,plain,
    e0 = op(e4,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1391,plain,
    ( ~ spl74_188
    | ~ spl74_1 ),
    inference(avatar_split_clause,[],[f365,f566,f1388]) ).

fof(f566,plain,
    ( spl74_1
  <=> sP38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_1])]) ).

fof(f365,plain,
    ( ~ sP38
    | e4 != op(e2,e3) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ( ( e4 != op(e2,e1)
      & e4 != op(e2,e0)
      & e4 != op(e2,e4)
      & e4 != op(e2,e2)
      & e4 != op(e2,e3) )
    | ~ sP38 ),
    inference(nnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( ( e4 != op(e2,e1)
      & e4 != op(e2,e0)
      & e4 != op(e2,e4)
      & e4 != op(e2,e2)
      & e4 != op(e2,e3) )
    | ~ sP38 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).

fof(f1386,plain,
    ( ~ spl74_187
    | ~ spl74_94 ),
    inference(avatar_split_clause,[],[f377,f977,f1383]) ).

fof(f977,plain,
    ( spl74_94
  <=> sP36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_94])]) ).

fof(f377,plain,
    ( ~ sP36
    | e1 != op(e2,e0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ( ( e1 != op(e4,e0)
      & e1 != op(e3,e0)
      & e1 != op(e2,e0)
      & e1 != op(e1,e0)
      & e1 != op(e0,e0) )
    | ~ sP36 ),
    inference(nnf_transformation,[],[f42]) ).

fof(f42,plain,
    ( ( e1 != op(e4,e0)
      & e1 != op(e3,e0)
      & e1 != op(e2,e0)
      & e1 != op(e1,e0)
      & e1 != op(e0,e0) )
    | ~ sP36 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).

fof(f1381,plain,
    ( ~ spl74_75
    | ~ spl74_186 ),
    inference(avatar_split_clause,[],[f235,f1378,f901]) ).

fof(f901,plain,
    ( spl74_75
  <=> sP64 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_75])]) ).

fof(f235,plain,
    ( e0 != op(e3,e2)
    | ~ sP64 ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ( ( e0 != op(e3,e0)
      & e0 != op(e3,e3)
      & e0 != op(e3,e4)
      & e0 != op(e3,e1)
      & e0 != op(e3,e2) )
    | ~ sP64 ),
    inference(nnf_transformation,[],[f70]) ).

fof(f70,plain,
    ( ( e0 != op(e3,e0)
      & e0 != op(e3,e3)
      & e0 != op(e3,e4)
      & e0 != op(e3,e1)
      & e0 != op(e3,e2) )
    | ~ sP64 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).

fof(f1350,plain,
    ( ~ spl74_180
    | ~ spl74_8 ),
    inference(avatar_split_clause,[],[f435,f597,f1347]) ).

fof(f597,plain,
    ( spl74_8
  <=> sP24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_8])]) ).

fof(f435,plain,
    ( ~ sP24
    | e2 != op(e3,e0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ( ( e0 != op(e3,e0)
      & e3 != op(e3,e0)
      & e4 != op(e3,e0)
      & e1 != op(e3,e0)
      & e2 != op(e3,e0) )
    | ~ sP24 ),
    inference(nnf_transformation,[],[f30]) ).

fof(f30,plain,
    ( ( e0 != op(e3,e0)
      & e3 != op(e3,e0)
      & e4 != op(e3,e0)
      & e1 != op(e3,e0)
      & e2 != op(e3,e0) )
    | ~ sP24 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).

fof(f1340,plain,
    ( ~ spl74_178
    | ~ spl74_122 ),
    inference(avatar_split_clause,[],[f323,f1089,f1336]) ).

fof(f1089,plain,
    ( spl74_122
  <=> sP47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_122])]) ).

fof(f323,plain,
    ( ~ sP47
    | e3 != op(e4,e0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ( ( e3 != op(e4,e2)
      & e3 != op(e4,e0)
      & e3 != op(e4,e4)
      & e3 != op(e4,e3)
      & e3 != op(e4,e1) )
    | ~ sP47 ),
    inference(nnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( ( e3 != op(e4,e2)
      & e3 != op(e4,e0)
      & e3 != op(e4,e4)
      & e3 != op(e4,e3)
      & e3 != op(e4,e1) )
    | ~ sP47 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).

fof(f1339,plain,
    ( ~ spl74_178
    | ~ spl74_40 ),
    inference(avatar_split_clause,[],[f300,f743,f1336]) ).

fof(f743,plain,
    ( spl74_40
  <=> sP51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_40])]) ).

fof(f300,plain,
    ( ~ sP51
    | e3 != op(e4,e0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ( ( e2 != op(e4,e0)
      & e1 != op(e4,e0)
      & e4 != op(e4,e0)
      & e0 != op(e4,e0)
      & e3 != op(e4,e0) )
    | ~ sP51 ),
    inference(nnf_transformation,[],[f57]) ).

fof(f57,plain,
    ( ( e2 != op(e4,e0)
      & e1 != op(e4,e0)
      & e4 != op(e4,e0)
      & e0 != op(e4,e0)
      & e3 != op(e4,e0) )
    | ~ sP51 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).

fof(f1329,plain,
    ( ~ spl74_163
    | ~ spl74_64 ),
    inference(avatar_split_clause,[],[f200,f854,f1257]) ).

fof(f854,plain,
    ( spl74_64
  <=> sP71 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_64])]) ).

fof(f200,plain,
    ( ~ sP71
    | e1 != op(e0,e3) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ( ( e4 != op(e0,e3)
      & e0 != op(e0,e3)
      & e3 != op(e0,e3)
      & e2 != op(e0,e3)
      & e1 != op(e0,e3) )
    | ~ sP71 ),
    inference(nnf_transformation,[],[f77]) ).

fof(f77,plain,
    ( ( e4 != op(e0,e3)
      & e0 != op(e0,e3)
      & e3 != op(e0,e3)
      & e2 != op(e0,e3)
      & e1 != op(e0,e3) )
    | ~ sP71 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).

fof(f1292,plain,
    ( ~ spl74_169
    | ~ spl74_66 ),
    inference(avatar_split_clause,[],[f262,f863,f1289]) ).

fof(f863,plain,
    ( spl74_66
  <=> sP59 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_66])]) ).

fof(f262,plain,
    ( ~ sP59
    | e3 != op(e1,e2) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ( ( e3 != op(e1,e3)
      & e3 != op(e1,e0)
      & e3 != op(e1,e2)
      & e3 != op(e1,e1)
      & e3 != op(e1,e4) )
    | ~ sP59 ),
    inference(nnf_transformation,[],[f65]) ).

fof(f65,plain,
    ( ( e3 != op(e1,e3)
      & e3 != op(e1,e0)
      & e3 != op(e1,e2)
      & e3 != op(e1,e1)
      & e3 != op(e1,e4) )
    | ~ sP59 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).

fof(f1282,plain,
    ( ~ spl74_99
    | ~ spl74_167 ),
    inference(avatar_split_clause,[],[f554,f1279,f997]) ).

fof(f997,plain,
    ( spl74_99
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_99])]) ).

fof(f554,plain,
    ( e2 != op(e1,e3)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ( ( e2 != op(e1,e3)
      & e2 != op(e4,e3)
      & e2 != op(e3,e3)
      & e2 != op(e2,e3)
      & e2 != op(e0,e3) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( e2 != op(e1,e3)
      & e2 != op(e4,e3)
      & e2 != op(e3,e3)
      & e2 != op(e2,e3)
      & e2 != op(e0,e3) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f1271,plain,
    ( ~ spl74_23
    | ~ spl74_165 ),
    inference(avatar_split_clause,[],[f515,f1268,f665]) ).

fof(f665,plain,
    ( spl74_23
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_23])]) ).

fof(f515,plain,
    ( e0 != op(e0,e0)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ( ( e0 != op(e3,e0)
      & e0 != op(e1,e0)
      & e0 != op(e4,e0)
      & e0 != op(e2,e0)
      & e0 != op(e0,e0) )
    | ~ sP8 ),
    inference(nnf_transformation,[],[f14]) ).

fof(f14,plain,
    ( ( e0 != op(e3,e0)
      & e0 != op(e1,e0)
      & e0 != op(e4,e0)
      & e0 != op(e2,e0)
      & e0 != op(e0,e0) )
    | ~ sP8 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f1260,plain,
    ( ~ spl74_138
    | ~ spl74_163 ),
    inference(avatar_split_clause,[],[f364,f1257,f1153]) ).

fof(f1153,plain,
    ( spl74_138
  <=> sP39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_138])]) ).

fof(f364,plain,
    ( e1 != op(e0,e3)
    | ~ sP39 ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ( ( e1 != op(e0,e3)
      & e1 != op(e3,e3)
      & e1 != op(e2,e3)
      & e1 != op(e4,e3)
      & e1 != op(e1,e3) )
    | ~ sP39 ),
    inference(nnf_transformation,[],[f45]) ).

fof(f45,plain,
    ( ( e1 != op(e0,e3)
      & e1 != op(e3,e3)
      & e1 != op(e2,e3)
      & e1 != op(e4,e3)
      & e1 != op(e1,e3) )
    | ~ sP39 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).

fof(f1244,plain,
    ( ~ spl74_68
    | ~ spl74_69
    | ~ spl74_70
    | ~ spl74_71
    | spl74_72
    | spl74_45
    | spl74_73
    | spl74_1
    | spl74_74
    | spl74_75
    | spl74_76
    | ~ spl74_77
    | spl74_67
    | spl74_8
    | spl74_58
    | spl74_78
    | spl74_61
    | ~ spl74_79
    | spl74_80
    | ~ spl74_81
    | ~ spl74_82
    | ~ spl74_83
    | ~ spl74_84
    | spl74_43
    | spl74_28
    | spl74_85
    | spl74_86
    | spl74_87
    | ~ spl74_88
    | spl74_56
    | spl74_42
    | spl74_89
    | ~ spl74_90
    | ~ spl74_91
    | ~ spl74_92
    | ~ spl74_93
    | spl74_94
    | spl74_64
    | spl74_23
    | spl74_95
    | ~ spl74_96
    | ~ spl74_97
    | ~ spl74_98
    | spl74_18
    | spl74_49
    | spl74_99
    | ~ spl74_100
    | ~ spl74_101
    | ~ spl74_102
    | ~ spl74_103
    | ~ spl74_104
    | spl74_105
    | ~ spl74_106
    | spl74_9
    | spl74_107
    | spl74_5
    | ~ spl74_108
    | ~ spl74_109
    | spl74_110
    | ~ spl74_111
    | spl74_38
    | ~ spl74_112
    | spl74_3
    | ~ spl74_113
    | ~ spl74_114
    | ~ spl74_115
    | spl74_116
    | spl74_117
    | spl74_118
    | spl74_47
    | spl74_54
    | ~ spl74_119
    | spl74_59
    | spl74_120
    | spl74_121
    | spl74_122
    | ~ spl74_123
    | spl74_124
    | spl74_125
    | spl74_16
    | spl74_126
    | spl74_66
    | ~ spl74_127
    | ~ spl74_128
    | spl74_129
    | ~ spl74_130
    | spl74_131
    | ~ spl74_132
    | spl74_133
    | ~ spl74_134
    | spl74_40
    | spl74_135
    | ~ spl74_136
    | spl74_137
    | spl74_138
    | spl74_12
    | spl74_14
    | spl74_139
    | ~ spl74_140
    | spl74_22
    | ~ spl74_141
    | ~ spl74_142
    | spl74_20
    | spl74_143
    | spl74_31
    | ~ spl74_144
    | ~ spl74_145
    | ~ spl74_146
    | spl74_147
    | ~ spl74_148
    | spl74_29
    | spl74_149
    | spl74_150
    | spl74_151
    | spl74_152
    | spl74_153
    | ~ spl74_154
    | spl74_35
    | ~ spl74_155
    | ~ spl74_156
    | ~ spl74_157
    | spl74_158
    | spl74_159
    | spl74_26
    | ~ spl74_160 ),
    inference(avatar_split_clause,[],[f564,f1241,f678,f1237,f1233,f1229,f1225,f1221,f721,f1217,f1213,f1209,f1205,f1201,f1197,f692,f1193,f1189,f1185,f1181,f1177,f702,f1173,f651,f1169,f1165,f660,f1161,f1157,f624,f615,f1153,f1149,f1145,f1141,f743,f1137,f1133,f1129,f1125,f1121,f1117,f1113,f1109,f863,f1105,f633,f1101,f1097,f1093,f1089,f1085,f1081,f831,f1077,f808,f775,f1073,f1069,f1065,f1061,f1057,f1053,f575,f1049,f734,f1045,f1041,f1037,f1033,f584,f1029,f602,f1025,f1021,f1017,f1013,f1009,f1005,f1001,f997,f784,f642,f993,f989,f985,f981,f665,f854,f977,f973,f969,f965,f961,f957,f752,f817,f953,f949,f945,f941,f687,f757,f937,f933,f929,f925,f921,f917,f840,f913,f826,f597,f868,f909,f905,f901,f897,f566,f893,f766,f889,f885,f881,f877,f873]) ).

fof(f868,plain,
    ( spl74_67
  <=> sP32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_67])]) ).

fof(f687,plain,
    ( spl74_28
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_28])]) ).

fof(f784,plain,
    ( spl74_49
  <=> sP44 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_49])]) ).

fof(f602,plain,
    ( spl74_9
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_9])]) ).

fof(f575,plain,
    ( spl74_3
  <=> sP40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_3])]) ).

fof(f775,plain,
    ( spl74_47
  <=> sP35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_47])]) ).

fof(f615,plain,
    ( spl74_12
  <=> sP31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl74_12])]) ).

fof(f564,plain,
    ( e0 != op(op(e2,e0),op(e0,e2))
    | sP34
    | sP62
    | sP19
    | e4 != op(e4,op(e4,e4))
    | e2 != op(e0,op(e0,e2))
    | e3 != op(op(e3,e3),op(e3,e3))
    | sP26
    | e2 != op(e1,op(e1,e2))
    | sP37
    | sP21
    | sP57
    | sP68
    | sP42
    | sP10
    | e3 != op(op(e1,e3),op(e3,e1))
    | sP12
    | e0 != op(op(e0,e0),op(e0,e0))
    | e1 != op(e2,op(e2,e1))
    | e3 != op(e1,op(e1,e3))
    | sP9
    | sP17
    | sP0
    | e4 != op(op(e1,e4),op(e4,e1))
    | e1 != op(op(e0,e1),op(e1,e0))
    | sP2
    | e2 != op(op(e0,e2),op(e2,e0))
    | sP54
    | sP29
    | sP31
    | sP39
    | sP15
    | e0 != op(e1,op(e1,e0))
    | sP55
    | sP51
    | e1 != op(op(e1,e1),op(e1,e1))
    | sP4
    | e0 != op(e4,op(e4,e0))
    | sP28
    | e3 != op(e3,e3)
    | sP63
    | e2 != op(e3,op(e3,e2))
    | e2 != op(op(e4,e2),op(e2,e4))
    | sP59
    | sP23
    | sP65
    | sP13
    | sP41
    | e1 != op(e1,op(e1,e1))
    | sP47
    | sP58
    | sP3
    | sP53
    | e0 != op(e2,op(e2,e0))
    | sP33
    | sP35
    | sP43
    | sP61
    | sP60
    | e1 != op(op(e4,e1),op(e1,e4))
    | e0 != op(op(e3,e0),op(e0,e3))
    | e3 != op(op(e0,e3),op(e3,e0))
    | sP40
    | e1 != op(e0,op(e0,e1))
    | sP27
    | e0 != op(e3,op(e3,e0))
    | sP7
    | e3 != op(e0,op(e0,e3))
    | e2 != op(op(e1,e2),op(e2,e1))
    | sP20
    | sP66
    | sP16
    | e2 != op(op(e2,e2),op(e2,e2))
    | sP48
    | e4 != op(op(e4,e4),op(e4,e4))
    | e4 != op(op(e0,e4),op(e4,e0))
    | e3 != op(e4,op(e4,e3))
    | e4 != op(op(e2,e4),op(e4,e2))
    | e4 != op(e1,op(e1,e4))
    | sP1
    | sP44
    | sP46
    | e0 != op(e0,op(e0,e0))
    | e4 != op(e0,op(e0,e4))
    | e3 != op(e3,op(e3,e3))
    | sP73
    | sP8
    | sP71
    | sP36
    | e3 != op(op(e2,e3),op(e3,e2))
    | e4 != op(e2,op(e2,e4))
    | e4 != op(op(e3,e4),op(e4,e3))
    | e0 != op(op(e1,e0),op(e0,e1))
    | sP5
    | sP69
    | sP25
    | e0 != op(op(e4,e0),op(e0,e4))
    | sP6
    | sP49
    | sP72
    | sP22
    | sP56
    | e3 != op(e2,op(e2,e3))
    | e3 != op(op(e4,e3),op(e3,e4))
    | e2 != op(e2,op(e2,e2))
    | e1 != op(op(e2,e1),op(e1,e2))
    | sP67
    | e2 != op(e4,op(e4,e2))
    | sP52
    | sP18
    | sP45
    | sP24
    | sP32
    | e1 != op(e4,op(e4,e1))
    | sP14
    | sP64
    | sP50
    | sP38
    | sP11
    | sP70
    | sP30
    | e4 != op(e3,op(e3,e4))
    | e1 != op(op(e3,e1),op(e1,e3))
    | e2 != op(op(e3,e2),op(e2,e3))
    | e1 != op(e3,op(e3,e1)) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ( e0 != op(op(e2,e0),op(e0,e2))
    | e0 != op(e1,op(e1,e0))
    | e2 != op(op(e1,e2),op(e2,e1))
    | ( e3 != op(e3,e3)
      & e3 != op(e2,e3)
      & e3 != op(e4,e3)
      & e3 != op(e1,e3)
      & e3 != op(e0,e3) )
    | sP73
    | sP72
    | e1 != op(op(e3,e1),op(e1,e3))
    | sP71
    | e3 != op(e3,op(e3,e3))
    | sP70
    | e3 != op(op(e1,e3),op(e3,e1))
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | e4 != op(e2,op(e2,e4))
    | sP59
    | sP58
    | e4 != op(op(e3,e4),op(e4,e3))
    | e4 != op(e3,op(e3,e4))
    | sP57
    | sP56
    | sP55
    | e0 != op(e3,op(e3,e0))
    | sP54
    | sP53
    | e3 != op(e4,op(e4,e3))
    | e3 != op(op(e4,e3),op(e3,e4))
    | sP52
    | sP51
    | sP50
    | sP49
    | e3 != op(e2,op(e2,e3))
    | sP48
    | e0 != op(e4,op(e4,e0))
    | e4 != op(op(e4,e4),op(e4,e4))
    | sP47
    | sP46
    | sP45
    | sP44
    | e0 != op(op(e3,e0),op(e0,e3))
    | e3 != op(e0,op(e0,e3))
    | e3 != op(op(e2,e3),op(e3,e2))
    | e3 != op(op(e0,e3),op(e3,e0))
    | sP43
    | sP42
    | sP41
    | sP40
    | e2 != op(op(e0,e2),op(e2,e0))
    | sP39
    | e1 != op(e1,op(e1,e1))
    | e2 != op(e1,op(e1,e2))
    | sP38
    | e1 != op(op(e2,e1),op(e1,e2))
    | sP37
    | e1 != op(op(e4,e1),op(e1,e4))
    | sP36
    | e1 != op(e2,op(e2,e1))
    | e4 != op(op(e0,e4),op(e4,e0))
    | sP35
    | e4 != op(e4,op(e4,e4))
    | sP34
    | sP33
    | sP32
    | e2 != op(op(e2,e2),op(e2,e2))
    | e1 != op(op(e1,e1),op(e1,e1))
    | sP31
    | sP30
    | e0 != op(op(e4,e0),op(e0,e4))
    | e3 != op(op(e3,e3),op(e3,e3))
    | sP29
    | sP28
    | e1 != op(op(e0,e1),op(e1,e0))
    | sP27
    | sP26
    | sP25
    | e1 != op(e4,op(e4,e1))
    | sP24
    | e0 != op(e0,op(e0,e0))
    | e2 != op(e0,op(e0,e2))
    | sP23
    | sP22
    | e2 != op(op(e3,e2),op(e2,e3))
    | e1 != op(e0,op(e0,e1))
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | e2 != op(e4,op(e4,e2))
    | sP16
    | sP15
    | sP14
    | e4 != op(op(e1,e4),op(e4,e1))
    | e2 != op(e2,op(e2,e2))
    | sP13
    | sP12
    | sP11
    | e2 != op(e3,op(e3,e2))
    | e0 != op(e2,op(e2,e0))
    | sP10
    | e1 != op(e3,op(e3,e1))
    | sP9
    | sP8
    | sP7
    | e2 != op(op(e4,e2),op(e2,e4))
    | e4 != op(e0,op(e0,e4))
    | sP6
    | e0 != op(op(e1,e0),op(e0,e1))
    | sP5
    | sP4
    | e4 != op(e1,op(e1,e4))
    | sP3
    | e3 != op(e1,op(e1,e3))
    | e4 != op(op(e2,e4),op(e4,e2))
    | e0 != op(op(e0,e0),op(e0,e0))
    | sP2
    | sP1
    | sP0 ),
    inference(definition_folding,[],[f5,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6]) ).

fof(f22,plain,
    ( ( e2 != op(e3,e1)
      & e2 != op(e0,e1)
      & e2 != op(e2,e1)
      & e2 != op(e4,e1)
      & e2 != op(e1,e1) )
    | ~ sP16 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f28,plain,
    ( ( e1 != op(e2,e2)
      & e3 != op(e2,e2)
      & e4 != op(e2,e2)
      & e0 != op(e2,e2)
      & e2 != op(e2,e2) )
    | ~ sP22 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).

fof(f37,plain,
    ( ( e0 != op(e3,e4)
      & e3 != op(e3,e4)
      & e2 != op(e3,e4)
      & e1 != op(e3,e4)
      & e4 != op(e3,e4) )
    | ~ sP31 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).

fof(f38,plain,
    ( ( e1 != op(e3,e3)
      & e1 != op(e3,e4)
      & e1 != op(e3,e1)
      & e1 != op(e3,e0)
      & e1 != op(e3,e2) )
    | ~ sP32 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).

fof(f41,plain,
    ( ( e2 != op(e4,e2)
      & e1 != op(e4,e2)
      & e3 != op(e4,e2)
      & e4 != op(e4,e2)
      & e0 != op(e4,e2) )
    | ~ sP35 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).

fof(f46,plain,
    ( ( e2 != op(e4,e3)
      & e4 != op(e4,e3)
      & e0 != op(e4,e3)
      & e1 != op(e4,e3)
      & e3 != op(e4,e3) )
    | ~ sP40 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).

fof(f50,plain,
    ( ( e0 != op(e1,e1)
      & e3 != op(e1,e1)
      & e1 != op(e1,e1)
      & e4 != op(e1,e1)
      & e2 != op(e1,e1) )
    | ~ sP44 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).

fof(f5,plain,
    ( e0 != op(op(e2,e0),op(e0,e2))
    | e0 != op(e1,op(e1,e0))
    | e2 != op(op(e1,e2),op(e2,e1))
    | ( e3 != op(e3,e3)
      & e3 != op(e2,e3)
      & e3 != op(e4,e3)
      & e3 != op(e1,e3)
      & e3 != op(e0,e3) )
    | ( e3 != op(e2,e0)
      & e3 != op(e1,e0)
      & e3 != op(e4,e0)
      & e3 != op(e0,e0)
      & e3 != op(e3,e0) )
    | ( e2 != op(e4,e2)
      & e2 != op(e4,e1)
      & e2 != op(e4,e0)
      & e2 != op(e4,e4)
      & e2 != op(e4,e3) )
    | e1 != op(op(e3,e1),op(e1,e3))
    | ( e4 != op(e0,e3)
      & e0 != op(e0,e3)
      & e3 != op(e0,e3)
      & e2 != op(e0,e3)
      & e1 != op(e0,e3) )
    | e3 != op(e3,op(e3,e3))
    | ( e0 != op(e2,e2)
      & e0 != op(e4,e2)
      & e0 != op(e0,e2)
      & e0 != op(e1,e2)
      & e0 != op(e3,e2) )
    | e3 != op(op(e1,e3),op(e3,e1))
    | ( e2 != op(e3,e2)
      & e3 != op(e3,e2)
      & e1 != op(e3,e2)
      & e4 != op(e3,e2)
      & e0 != op(e3,e2) )
    | ( e0 != op(e1,e3)
      & e0 != op(e1,e2)
      & e0 != op(e1,e0)
      & e0 != op(e1,e4)
      & e0 != op(e1,e1) )
    | ( e0 != op(e4,e3)
      & e0 != op(e4,e2)
      & e0 != op(e4,e4)
      & e0 != op(e4,e1)
      & e0 != op(e4,e0) )
    | ( e1 != op(e3,e1)
      & e1 != op(e2,e1)
      & e1 != op(e1,e1)
      & e1 != op(e0,e1)
      & e1 != op(e4,e1) )
    | ( e3 != op(e4,e2)
      & e3 != op(e2,e2)
      & e3 != op(e3,e2)
      & e3 != op(e1,e2)
      & e3 != op(e0,e2) )
    | ( e0 != op(e3,e0)
      & e0 != op(e3,e3)
      & e0 != op(e3,e4)
      & e0 != op(e3,e1)
      & e0 != op(e3,e2) )
    | ( e4 != op(e4,e2)
      & e4 != op(e0,e2)
      & e4 != op(e3,e2)
      & e4 != op(e1,e2)
      & e4 != op(e2,e2) )
    | ( e2 != op(e1,e0)
      & e4 != op(e1,e0)
      & e0 != op(e1,e0)
      & e3 != op(e1,e0)
      & e1 != op(e1,e0) )
    | ( e2 != op(e1,e1)
      & e2 != op(e1,e2)
      & e2 != op(e1,e3)
      & e2 != op(e1,e4)
      & e2 != op(e1,e0) )
    | ( e1 != op(e0,e0)
      & e1 != op(e0,e1)
      & e1 != op(e0,e4)
      & e1 != op(e0,e3)
      & e1 != op(e0,e2) )
    | e4 != op(e2,op(e2,e4))
    | ( e3 != op(e1,e3)
      & e3 != op(e1,e0)
      & e3 != op(e1,e2)
      & e3 != op(e1,e1)
      & e3 != op(e1,e4) )
    | ( e4 != op(e1,e2)
      & e0 != op(e1,e2)
      & e2 != op(e1,e2)
      & e3 != op(e1,e2)
      & e1 != op(e1,e2) )
    | e4 != op(op(e3,e4),op(e4,e3))
    | e4 != op(e3,op(e3,e4))
    | ( e3 != op(e3,e1)
      & e3 != op(e3,e2)
      & e3 != op(e3,e3)
      & e3 != op(e3,e4)
      & e3 != op(e3,e0) )
    | ( e2 != op(e0,e0)
      & e2 != op(e3,e0)
      & e2 != op(e4,e0)
      & e2 != op(e1,e0)
      & e2 != op(e2,e0) )
    | ( e0 != op(e2,e4)
      & e0 != op(e2,e3)
      & e0 != op(e2,e1)
      & e0 != op(e2,e0)
      & e0 != op(e2,e2) )
    | e0 != op(e3,op(e3,e0))
    | ( e4 != op(e2,e1)
      & e1 != op(e2,e1)
      & e3 != op(e2,e1)
      & e0 != op(e2,e1)
      & e2 != op(e2,e1) )
    | ( e3 != op(e2,e4)
      & e2 != op(e2,e4)
      & e1 != op(e2,e4)
      & e0 != op(e2,e4)
      & e4 != op(e2,e4) )
    | e3 != op(e4,op(e4,e3))
    | e3 != op(op(e4,e3),op(e3,e4))
    | ( e3 != op(e0,e4)
      & e3 != op(e3,e4)
      & e3 != op(e1,e4)
      & e3 != op(e2,e4)
      & e3 != op(e4,e4) )
    | ( e2 != op(e4,e0)
      & e1 != op(e4,e0)
      & e4 != op(e4,e0)
      & e0 != op(e4,e0)
      & e3 != op(e4,e0) )
    | ( e2 != op(e0,e2)
      & e3 != op(e0,e2)
      & e1 != op(e0,e2)
      & e0 != op(e0,e2)
      & e4 != op(e0,e2) )
    | ( e2 != op(e0,e4)
      & e4 != op(e0,e4)
      & e3 != op(e0,e4)
      & e1 != op(e0,e4)
      & e0 != op(e0,e4) )
    | e3 != op(e2,op(e2,e3))
    | ( e4 != op(e3,e3)
      & e1 != op(e3,e3)
      & e2 != op(e3,e3)
      & e0 != op(e3,e3)
      & e3 != op(e3,e3) )
    | e0 != op(e4,op(e4,e0))
    | e4 != op(op(e4,e4),op(e4,e4))
    | ( e3 != op(e4,e2)
      & e3 != op(e4,e0)
      & e3 != op(e4,e4)
      & e3 != op(e4,e3)
      & e3 != op(e4,e1) )
    | ( e1 != op(e2,e3)
      & e1 != op(e2,e4)
      & e1 != op(e2,e0)
      & e1 != op(e2,e2)
      & e1 != op(e2,e1) )
    | ( e3 != op(e0,e0)
      & e2 != op(e0,e0)
      & e1 != op(e0,e0)
      & e4 != op(e0,e0)
      & e0 != op(e0,e0) )
    | ( e0 != op(e1,e1)
      & e3 != op(e1,e1)
      & e1 != op(e1,e1)
      & e4 != op(e1,e1)
      & e2 != op(e1,e1) )
    | e0 != op(op(e3,e0),op(e0,e3))
    | e3 != op(e0,op(e0,e3))
    | e3 != op(op(e2,e3),op(e3,e2))
    | e3 != op(op(e0,e3),op(e3,e0))
    | ( e4 != op(e0,e4)
      & e4 != op(e1,e4)
      & e4 != op(e4,e4)
      & e4 != op(e2,e4)
      & e4 != op(e3,e4) )
    | ( e0 != op(e0,e3)
      & e0 != op(e4,e3)
      & e0 != op(e2,e3)
      & e0 != op(e3,e3)
      & e0 != op(e1,e3) )
    | ( e4 != op(e1,e1)
      & e4 != op(e3,e1)
      & e4 != op(e4,e1)
      & e4 != op(e0,e1)
      & e4 != op(e2,e1) )
    | ( e2 != op(e4,e3)
      & e4 != op(e4,e3)
      & e0 != op(e4,e3)
      & e1 != op(e4,e3)
      & e3 != op(e4,e3) )
    | e2 != op(op(e0,e2),op(e2,e0))
    | ( e1 != op(e0,e3)
      & e1 != op(e3,e3)
      & e1 != op(e2,e3)
      & e1 != op(e4,e3)
      & e1 != op(e1,e3) )
    | e1 != op(e1,op(e1,e1))
    | e2 != op(e1,op(e1,e2))
    | ( e4 != op(e2,e1)
      & e4 != op(e2,e0)
      & e4 != op(e2,e4)
      & e4 != op(e2,e2)
      & e4 != op(e2,e3) )
    | e1 != op(op(e2,e1),op(e1,e2))
    | ( e4 != op(e0,e2)
      & e4 != op(e0,e0)
      & e4 != op(e0,e3)
      & e4 != op(e0,e4)
      & e4 != op(e0,e1) )
    | e1 != op(op(e4,e1),op(e1,e4))
    | ( e1 != op(e4,e0)
      & e1 != op(e3,e0)
      & e1 != op(e2,e0)
      & e1 != op(e1,e0)
      & e1 != op(e0,e0) )
    | e1 != op(e2,op(e2,e1))
    | e4 != op(op(e0,e4),op(e4,e0))
    | ( e2 != op(e4,e2)
      & e1 != op(e4,e2)
      & e3 != op(e4,e2)
      & e4 != op(e4,e2)
      & e0 != op(e4,e2) )
    | e4 != op(e4,op(e4,e4))
    | ( e0 != op(e2,e1)
      & e0 != op(e0,e1)
      & e0 != op(e3,e1)
      & e0 != op(e4,e1)
      & e0 != op(e1,e1) )
    | ( e4 != op(e3,e2)
      & e4 != op(e3,e0)
      & e4 != op(e3,e3)
      & e4 != op(e3,e4)
      & e4 != op(e3,e1) )
    | ( e1 != op(e3,e3)
      & e1 != op(e3,e4)
      & e1 != op(e3,e1)
      & e1 != op(e3,e0)
      & e1 != op(e3,e2) )
    | e2 != op(op(e2,e2),op(e2,e2))
    | e1 != op(op(e1,e1),op(e1,e1))
    | ( e0 != op(e3,e4)
      & e3 != op(e3,e4)
      & e2 != op(e3,e4)
      & e1 != op(e3,e4)
      & e4 != op(e3,e4) )
    | ( e2 != op(e1,e2)
      & e2 != op(e4,e2)
      & e2 != op(e3,e2)
      & e2 != op(e0,e2)
      & e2 != op(e2,e2) )
    | e0 != op(op(e4,e0),op(e0,e4))
    | e3 != op(op(e3,e3),op(e3,e3))
    | ( e1 != op(e0,e2)
      & e1 != op(e3,e2)
      & e1 != op(e1,e2)
      & e1 != op(e2,e2)
      & e1 != op(e4,e2) )
    | ( e2 != op(e4,e4)
      & e2 != op(e0,e4)
      & e2 != op(e1,e4)
      & e2 != op(e2,e4)
      & e2 != op(e3,e4) )
    | e1 != op(op(e0,e1),op(e1,e0))
    | ( e3 != op(e2,e3)
      & e3 != op(e2,e2)
      & e3 != op(e2,e1)
      & e3 != op(e2,e4)
      & e3 != op(e2,e0) )
    | ( e2 != op(e0,e2)
      & e2 != op(e0,e1)
      & e2 != op(e0,e0)
      & e2 != op(e0,e4)
      & e2 != op(e0,e3) )
    | ( e2 != op(e1,e4)
      & e1 != op(e1,e4)
      & e3 != op(e1,e4)
      & e4 != op(e1,e4)
      & e0 != op(e1,e4) )
    | e1 != op(e4,op(e4,e1))
    | ( e0 != op(e3,e0)
      & e3 != op(e3,e0)
      & e4 != op(e3,e0)
      & e1 != op(e3,e0)
      & e2 != op(e3,e0) )
    | e0 != op(e0,op(e0,e0))
    | e2 != op(e0,op(e0,e2))
    | ( e0 != op(e0,e4)
      & e0 != op(e3,e4)
      & e0 != op(e2,e4)
      & e0 != op(e1,e4)
      & e0 != op(e4,e4) )
    | ( e1 != op(e2,e2)
      & e3 != op(e2,e2)
      & e4 != op(e2,e2)
      & e0 != op(e2,e2)
      & e2 != op(e2,e2) )
    | e2 != op(op(e3,e2),op(e2,e3))
    | e1 != op(e0,op(e0,e1))
    | ( e3 != op(e0,e2)
      & e3 != op(e0,e1)
      & e3 != op(e0,e0)
      & e3 != op(e0,e4)
      & e3 != op(e0,e3) )
    | ( e2 != op(e2,e2)
      & e2 != op(e2,e4)
      & e2 != op(e2,e3)
      & e2 != op(e2,e0)
      & e2 != op(e2,e1) )
    | ( e0 != op(e4,e4)
      & e4 != op(e4,e4)
      & e2 != op(e4,e4)
      & e3 != op(e4,e4)
      & e1 != op(e4,e4) )
    | ( e3 != op(e1,e3)
      & e0 != op(e1,e3)
      & e4 != op(e1,e3)
      & e1 != op(e1,e3)
      & e2 != op(e1,e3) )
    | ( e2 != op(e3,e4)
      & e2 != op(e3,e0)
      & e2 != op(e3,e3)
      & e2 != op(e3,e1)
      & e2 != op(e3,e2) )
    | e2 != op(e4,op(e4,e2))
    | ( e2 != op(e3,e1)
      & e2 != op(e0,e1)
      & e2 != op(e2,e1)
      & e2 != op(e4,e1)
      & e2 != op(e1,e1) )
    | ( e4 != op(e1,e4)
      & e4 != op(e1,e1)
      & e4 != op(e1,e0)
      & e4 != op(e1,e3)
      & e4 != op(e1,e2) )
    | ( e4 != op(e0,e1)
      & e1 != op(e0,e1)
      & e2 != op(e0,e1)
      & e3 != op(e0,e1)
      & e0 != op(e0,e1) )
    | e4 != op(op(e1,e4),op(e4,e1))
    | e2 != op(e2,op(e2,e2))
    | ( e1 != op(e0,e4)
      & e1 != op(e4,e4)
      & e1 != op(e2,e4)
      & e1 != op(e3,e4)
      & e1 != op(e1,e4) )
    | ( e4 != op(e0,e0)
      & e4 != op(e1,e0)
      & e4 != op(e4,e0)
      & e4 != op(e3,e0)
      & e4 != op(e2,e0) )
    | ( e1 != op(e4,e0)
      & e1 != op(e4,e3)
      & e1 != op(e4,e2)
      & e1 != op(e4,e4)
      & e1 != op(e4,e1) )
    | e2 != op(e3,op(e3,e2))
    | e0 != op(e2,op(e2,e0))
    | ( e4 != op(e2,e0)
      & e0 != op(e2,e0)
      & e1 != op(e2,e0)
      & e2 != op(e2,e0)
      & e3 != op(e2,e0) )
    | e1 != op(e3,op(e3,e1))
    | ( e4 != op(e4,e3)
      & e4 != op(e4,e1)
      & e4 != op(e4,e0)
      & e4 != op(e4,e4)
      & e4 != op(e4,e2) )
    | ( e0 != op(e3,e0)
      & e0 != op(e1,e0)
      & e0 != op(e4,e0)
      & e0 != op(e2,e0)
      & e0 != op(e0,e0) )
    | ( e0 != op(e0,e1)
      & e0 != op(e0,e4)
      & e0 != op(e0,e3)
      & e0 != op(e0,e2)
      & e0 != op(e0,e0) )
    | e2 != op(op(e4,e2),op(e2,e4))
    | e4 != op(e0,op(e0,e4))
    | ( e0 != op(e2,e3)
      & e1 != op(e2,e3)
      & e4 != op(e2,e3)
      & e3 != op(e2,e3)
      & e2 != op(e2,e3) )
    | e0 != op(op(e1,e0),op(e0,e1))
    | ( e3 != op(e0,e1)
      & e3 != op(e4,e1)
      & e3 != op(e3,e1)
      & e3 != op(e2,e1)
      & e3 != op(e1,e1) )
    | ( e1 != op(e1,e4)
      & e1 != op(e1,e1)
      & e1 != op(e1,e3)
      & e1 != op(e1,e2)
      & e1 != op(e1,e0) )
    | e4 != op(e1,op(e1,e4))
    | ( e2 != op(e3,e1)
      & e3 != op(e3,e1)
      & e1 != op(e3,e1)
      & e4 != op(e3,e1)
      & e0 != op(e3,e1) )
    | e3 != op(e1,op(e1,e3))
    | e4 != op(op(e2,e4),op(e4,e2))
    | e0 != op(op(e0,e0),op(e0,e0))
    | ( e4 != op(e1,e3)
      & e4 != op(e2,e3)
      & e4 != op(e4,e3)
      & e4 != op(e3,e3)
      & e4 != op(e0,e3) )
    | ( e2 != op(e1,e3)
      & e2 != op(e4,e3)
      & e2 != op(e3,e3)
      & e2 != op(e2,e3)
      & e2 != op(e0,e3) )
    | ( e3 != op(e4,e1)
      & e1 != op(e4,e1)
      & e2 != op(e4,e1)
      & e0 != op(e4,e1)
      & e4 != op(e4,e1) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,negated_conjecture,
    ~ ( ( e1 = op(e4,e3)
        | e1 = op(e4,e0)
        | e1 = op(e4,e2)
        | e1 = op(e4,e4)
        | e1 = op(e4,e1) )
      & e1 = op(e4,op(e4,e1))
      & e2 = op(e1,op(e1,e2))
      & ( e3 = op(e2,e1)
        | e0 = op(e2,e1)
        | e2 = op(e2,e1)
        | e1 = op(e2,e1)
        | e4 = op(e2,e1) )
      & ( e2 = op(e3,e3)
        | e2 = op(e4,e3)
        | e2 = op(e0,e3)
        | e2 = op(e2,e3)
        | e2 = op(e1,e3) )
      & ( e0 = op(e4,e1)
        | e0 = op(e2,e1)
        | e0 = op(e3,e1)
        | e0 = op(e1,e1)
        | e0 = op(e0,e1) )
      & e2 = op(op(e0,e2),op(e2,e0))
      & e4 = op(e2,op(e2,e4))
      & ( e3 = op(e1,e2)
        | e3 = op(e0,e2)
        | e3 = op(e3,e2)
        | e3 = op(e2,e2)
        | e3 = op(e4,e2) )
      & e0 = op(op(e1,e0),op(e0,e1))
      & ( e2 = op(e4,e2)
        | e2 = op(e4,e4)
        | e2 = op(e4,e1)
        | e2 = op(e4,e0)
        | e2 = op(e4,e3) )
      & ( e4 = op(e1,e4)
        | e1 = op(e1,e4)
        | e3 = op(e1,e4)
        | e0 = op(e1,e4)
        | e2 = op(e1,e4) )
      & e0 = op(e0,op(e0,e0))
      & ( e2 = op(e0,e4)
        | e3 = op(e0,e4)
        | e0 = op(e0,e4)
        | e4 = op(e0,e4)
        | e1 = op(e0,e4) )
      & e1 = op(op(e3,e1),op(e1,e3))
      & e2 = op(e0,op(e0,e2))
      & ( e3 = op(e1,e2)
        | e2 = op(e1,e2)
        | e1 = op(e1,e2)
        | e4 = op(e1,e2)
        | e0 = op(e1,e2) )
      & ( e4 = op(e2,e0)
        | e4 = op(e0,e0)
        | e4 = op(e4,e0)
        | e4 = op(e1,e0)
        | e4 = op(e3,e0) )
      & ( e2 = op(e1,e2)
        | e2 = op(e1,e1)
        | e2 = op(e1,e4)
        | e2 = op(e1,e0)
        | e2 = op(e1,e3) )
      & e2 = op(op(e2,e2),op(e2,e2))
      & ( e4 = op(e1,e4)
        | e4 = op(e1,e1)
        | e4 = op(e1,e3)
        | e4 = op(e1,e2)
        | e4 = op(e1,e0) )
      & ( e4 = op(e3,e1)
        | e4 = op(e0,e1)
        | e4 = op(e2,e1)
        | e4 = op(e1,e1)
        | e4 = op(e4,e1) )
      & ( e1 = op(e1,e3)
        | e1 = op(e0,e3)
        | e1 = op(e4,e3)
        | e1 = op(e3,e3)
        | e1 = op(e2,e3) )
      & ( e4 = op(e2,e2)
        | e0 = op(e2,e2)
        | e1 = op(e2,e2)
        | e2 = op(e2,e2)
        | e3 = op(e2,e2) )
      & ( e0 = op(e3,e3)
        | e0 = op(e2,e3)
        | e0 = op(e4,e3)
        | e0 = op(e0,e3)
        | e0 = op(e1,e3) )
      & e0 = op(e1,op(e1,e0))
      & ( e3 = op(e4,e3)
        | e3 = op(e2,e3)
        | e3 = op(e0,e3)
        | e3 = op(e1,e3)
        | e3 = op(e3,e3) )
      & e0 = op(op(e4,e0),op(e0,e4))
      & e1 = op(e0,op(e0,e1))
      & ( e4 = op(e1,e0)
        | e1 = op(e1,e0)
        | e3 = op(e1,e0)
        | e2 = op(e1,e0)
        | e0 = op(e1,e0) )
      & ( e4 = op(e0,e3)
        | e1 = op(e0,e3)
        | e3 = op(e0,e3)
        | e2 = op(e0,e3)
        | e0 = op(e0,e3) )
      & ( e4 = op(e2,e0)
        | e4 = op(e2,e2)
        | e4 = op(e2,e4)
        | e4 = op(e2,e3)
        | e4 = op(e2,e1) )
      & e3 = op(op(e1,e3),op(e3,e1))
      & e3 = op(e1,op(e1,e3))
      & e3 = op(op(e3,e3),op(e3,e3))
      & ( e1 = op(e3,e1)
        | e1 = op(e1,e1)
        | e1 = op(e2,e1)
        | e1 = op(e0,e1)
        | e1 = op(e4,e1) )
      & ( e4 = op(e0,e2)
        | e3 = op(e0,e2)
        | e2 = op(e0,e2)
        | e0 = op(e0,e2)
        | e1 = op(e0,e2) )
      & e3 = op(e4,op(e4,e3))
      & e2 = op(e4,op(e4,e2))
      & ( e3 = op(e0,e0)
        | e2 = op(e0,e0)
        | e4 = op(e0,e0)
        | e0 = op(e0,e0)
        | e1 = op(e0,e0) )
      & ( e4 = op(e2,e3)
        | e4 = op(e0,e3)
        | e4 = op(e4,e3)
        | e4 = op(e3,e3)
        | e4 = op(e1,e3) )
      & e0 = op(op(e0,e0),op(e0,e0))
      & ( e3 = op(e1,e1)
        | e3 = op(e1,e2)
        | e3 = op(e1,e3)
        | e3 = op(e1,e4)
        | e3 = op(e1,e0) )
      & ( e4 = op(e3,e2)
        | e4 = op(e1,e2)
        | e4 = op(e4,e2)
        | e4 = op(e2,e2)
        | e4 = op(e0,e2) )
      & ( e2 = op(e3,e0)
        | e4 = op(e3,e0)
        | e0 = op(e3,e0)
        | e3 = op(e3,e0)
        | e1 = op(e3,e0) )
      & ( e0 = op(e4,e2)
        | e0 = op(e4,e0)
        | e0 = op(e4,e1)
        | e0 = op(e4,e3)
        | e0 = op(e4,e4) )
      & ( e0 = op(e0,e1)
        | e1 = op(e0,e1)
        | e4 = op(e0,e1)
        | e2 = op(e0,e1)
        | e3 = op(e0,e1) )
      & ( e2 = op(e4,e1)
        | e2 = op(e2,e1)
        | e2 = op(e3,e1)
        | e2 = op(e1,e1)
        | e2 = op(e0,e1) )
      & e2 = op(op(e3,e2),op(e2,e3))
      & ( e4 = op(e3,e2)
        | e0 = op(e3,e2)
        | e3 = op(e3,e2)
        | e2 = op(e3,e2)
        | e1 = op(e3,e2) )
      & ( e3 = op(e3,e3)
        | e3 = op(e3,e1)
        | e3 = op(e3,e2)
        | e3 = op(e3,e4)
        | e3 = op(e3,e0) )
      & e1 = op(e1,op(e1,e1))
      & ( e1 = op(e4,e4)
        | e4 = op(e4,e4)
        | e3 = op(e4,e4)
        | e0 = op(e4,e4)
        | e2 = op(e4,e4) )
      & e0 = op(e2,op(e2,e0))
      & ( e2 = op(e1,e4)
        | e2 = op(e3,e4)
        | e2 = op(e0,e4)
        | e2 = op(e4,e4)
        | e2 = op(e2,e4) )
      & e4 = op(op(e1,e4),op(e4,e1))
      & ( e0 = op(e0,e4)
        | e0 = op(e4,e4)
        | e0 = op(e3,e4)
        | e0 = op(e1,e4)
        | e0 = op(e2,e4) )
      & e4 = op(op(e0,e4),op(e4,e0))
      & ( e3 = op(e2,e4)
        | e2 = op(e2,e4)
        | e1 = op(e2,e4)
        | e0 = op(e2,e4)
        | e4 = op(e2,e4) )
      & ( e1 = op(e0,e4)
        | e1 = op(e2,e4)
        | e1 = op(e1,e4)
        | e1 = op(e4,e4)
        | e1 = op(e3,e4) )
      & e2 = op(op(e1,e2),op(e2,e1))
      & ( e2 = op(e0,e0)
        | e2 = op(e0,e2)
        | e2 = op(e0,e4)
        | e2 = op(e0,e1)
        | e2 = op(e0,e3) )
      & e3 = op(e3,op(e3,e3))
      & ( e3 = op(e1,e3)
        | e1 = op(e1,e3)
        | e0 = op(e1,e3)
        | e2 = op(e1,e3)
        | e4 = op(e1,e3) )
      & ( e3 = op(e0,e3)
        | e3 = op(e0,e2)
        | e3 = op(e0,e0)
        | e3 = op(e0,e4)
        | e3 = op(e0,e1) )
      & ( e1 = op(e0,e1)
        | e1 = op(e0,e2)
        | e1 = op(e0,e4)
        | e1 = op(e0,e3)
        | e1 = op(e0,e0) )
      & ( e2 = op(e3,e0)
        | e2 = op(e3,e4)
        | e2 = op(e3,e1)
        | e2 = op(e3,e3)
        | e2 = op(e3,e2) )
      & ( e1 = op(e4,e2)
        | e4 = op(e4,e2)
        | e3 = op(e4,e2)
        | e2 = op(e4,e2)
        | e0 = op(e4,e2) )
      & e4 = op(op(e4,e4),op(e4,e4))
      & ( e4 = op(e4,e0)
        | e4 = op(e4,e2)
        | e4 = op(e4,e1)
        | e4 = op(e4,e4)
        | e4 = op(e4,e3) )
      & ( e1 = op(e3,e0)
        | e1 = op(e1,e0)
        | e1 = op(e4,e0)
        | e1 = op(e0,e0)
        | e1 = op(e2,e0) )
      & e4 = op(op(e3,e4),op(e4,e3))
      & e4 = op(e0,op(e0,e4))
      & e3 = op(e2,op(e2,e3))
      & e1 = op(op(e4,e1),op(e1,e4))
      & ( e4 = op(e3,e2)
        | e4 = op(e3,e1)
        | e4 = op(e3,e3)
        | e4 = op(e3,e0)
        | e4 = op(e3,e4) )
      & ( e3 = op(e1,e0)
        | e3 = op(e0,e0)
        | e3 = op(e2,e0)
        | e3 = op(e4,e0)
        | e3 = op(e3,e0) )
      & e4 = op(e3,op(e3,e4))
      & e2 = op(e2,op(e2,e2))
      & ( e2 = op(e4,e3)
        | e0 = op(e4,e3)
        | e3 = op(e4,e3)
        | e1 = op(e4,e3)
        | e4 = op(e4,e3) )
      & ( e0 = op(e0,e3)
        | e0 = op(e0,e1)
        | e0 = op(e0,e0)
        | e0 = op(e0,e2)
        | e0 = op(e0,e4) )
      & ( e1 = op(e2,e2)
        | e1 = op(e0,e2)
        | e1 = op(e1,e2)
        | e1 = op(e3,e2)
        | e1 = op(e4,e2) )
      & e1 = op(op(e1,e1),op(e1,e1))
      & e4 = op(e1,op(e1,e4))
      & ( e4 = op(e2,e3)
        | e1 = op(e2,e3)
        | e2 = op(e2,e3)
        | e3 = op(e2,e3)
        | e0 = op(e2,e3) )
      & e1 = op(op(e2,e1),op(e1,e2))
      & e1 = op(e3,op(e3,e1))
      & e2 = op(e3,op(e3,e2))
      & ( e3 = op(e2,e4)
        | e3 = op(e2,e3)
        | e3 = op(e2,e0)
        | e3 = op(e2,e2)
        | e3 = op(e2,e1) )
      & ( e0 = op(e2,e0)
        | e3 = op(e2,e0)
        | e4 = op(e2,e0)
        | e2 = op(e2,e0)
        | e1 = op(e2,e0) )
      & ( e0 = op(e4,e1)
        | e4 = op(e4,e1)
        | e1 = op(e4,e1)
        | e3 = op(e4,e1)
        | e2 = op(e4,e1) )
      & e4 = op(e4,op(e4,e4))
      & ( e2 = op(e2,e2)
        | e2 = op(e0,e2)
        | e2 = op(e4,e2)
        | e2 = op(e1,e2)
        | e2 = op(e3,e2) )
      & ( e0 = op(e3,e3)
        | e0 = op(e3,e4)
        | e0 = op(e3,e1)
        | e0 = op(e3,e0)
        | e0 = op(e3,e2) )
      & e0 = op(op(e3,e0),op(e0,e3))
      & ( e0 = op(e0,e2)
        | e0 = op(e3,e2)
        | e0 = op(e4,e2)
        | e0 = op(e2,e2)
        | e0 = op(e1,e2) )
      & e0 = op(op(e2,e0),op(e0,e2))
      & ( e2 = op(e4,e0)
        | e2 = op(e1,e0)
        | e2 = op(e0,e0)
        | e2 = op(e2,e0)
        | e2 = op(e3,e0) )
      & e2 = op(op(e4,e2),op(e2,e4))
      & ( e4 = op(e0,e2)
        | e4 = op(e0,e4)
        | e4 = op(e0,e1)
        | e4 = op(e0,e0)
        | e4 = op(e0,e3) )
      & ( e1 = op(e2,e1)
        | e1 = op(e2,e0)
        | e1 = op(e2,e3)
        | e1 = op(e2,e4)
        | e1 = op(e2,e2) )
      & ( e4 = op(e4,e4)
        | e4 = op(e3,e4)
        | e4 = op(e1,e4)
        | e4 = op(e2,e4)
        | e4 = op(e0,e4) )
      & e1 = op(e2,op(e2,e1))
      & ( e0 = op(e3,e0)
        | e0 = op(e4,e0)
        | e0 = op(e0,e0)
        | e0 = op(e1,e0)
        | e0 = op(e2,e0) )
      & e1 = op(op(e0,e1),op(e1,e0))
      & ( e1 = op(e1,e2)
        | e1 = op(e1,e0)
        | e1 = op(e1,e4)
        | e1 = op(e1,e3)
        | e1 = op(e1,e1) )
      & e0 = op(e4,op(e4,e0))
      & ( e2 = op(e2,e0)
        | e2 = op(e2,e3)
        | e2 = op(e2,e1)
        | e2 = op(e2,e2)
        | e2 = op(e2,e4) )
      & ( e3 = op(e2,e4)
        | e3 = op(e3,e4)
        | e3 = op(e4,e4)
        | e3 = op(e0,e4)
        | e3 = op(e1,e4) )
      & e3 = op(op(e0,e3),op(e3,e0))
      & ( e0 = op(e1,e2)
        | e0 = op(e1,e1)
        | e0 = op(e1,e4)
        | e0 = op(e1,e0)
        | e0 = op(e1,e3) )
      & e4 = op(op(e2,e4),op(e4,e2))
      & ( e0 = op(e3,e4)
        | e4 = op(e3,e4)
        | e2 = op(e3,e4)
        | e3 = op(e3,e4)
        | e1 = op(e3,e4) )
      & ( e3 = op(e4,e1)
        | e3 = op(e4,e4)
        | e3 = op(e4,e3)
        | e3 = op(e4,e2)
        | e3 = op(e4,e0) )
      & e3 = op(op(e2,e3),op(e3,e2))
      & e0 = op(e3,op(e3,e0))
      & ( e3 = op(e4,e0)
        | e2 = op(e4,e0)
        | e0 = op(e4,e0)
        | e1 = op(e4,e0)
        | e4 = op(e4,e0) )
      & ( e0 = op(e2,e0)
        | e0 = op(e2,e1)
        | e0 = op(e2,e3)
        | e0 = op(e2,e4)
        | e0 = op(e2,e2) )
      & e3 = op(e0,op(e0,e3))
      & ( e3 = op(e2,e1)
        | e3 = op(e1,e1)
        | e3 = op(e4,e1)
        | e3 = op(e0,e1)
        | e3 = op(e3,e1) )
      & e3 = op(op(e4,e3),op(e3,e4))
      & ( e1 = op(e3,e4)
        | e1 = op(e3,e3)
        | e1 = op(e3,e0)
        | e1 = op(e3,e1)
        | e1 = op(e3,e2) )
      & ( e0 = op(e1,e1)
        | e4 = op(e1,e1)
        | e2 = op(e1,e1)
        | e1 = op(e1,e1)
        | e3 = op(e1,e1) )
      & ( e4 = op(e3,e3)
        | e1 = op(e3,e3)
        | e3 = op(e3,e3)
        | e0 = op(e3,e3)
        | e2 = op(e3,e3) )
      & ( e2 = op(e3,e1)
        | e4 = op(e3,e1)
        | e1 = op(e3,e1)
        | e3 = op(e3,e1)
        | e0 = op(e3,e1) ) ),
    inference(negated_conjecture,[],[f3]) ).

fof(f3,conjecture,
    ( ( e1 = op(e4,e3)
      | e1 = op(e4,e0)
      | e1 = op(e4,e2)
      | e1 = op(e4,e4)
      | e1 = op(e4,e1) )
    & e1 = op(e4,op(e4,e1))
    & e2 = op(e1,op(e1,e2))
    & ( e3 = op(e2,e1)
      | e0 = op(e2,e1)
      | e2 = op(e2,e1)
      | e1 = op(e2,e1)
      | e4 = op(e2,e1) )
    & ( e2 = op(e3,e3)
      | e2 = op(e4,e3)
      | e2 = op(e0,e3)
      | e2 = op(e2,e3)
      | e2 = op(e1,e3) )
    & ( e0 = op(e4,e1)
      | e0 = op(e2,e1)
      | e0 = op(e3,e1)
      | e0 = op(e1,e1)
      | e0 = op(e0,e1) )
    & e2 = op(op(e0,e2),op(e2,e0))
    & e4 = op(e2,op(e2,e4))
    & ( e3 = op(e1,e2)
      | e3 = op(e0,e2)
      | e3 = op(e3,e2)
      | e3 = op(e2,e2)
      | e3 = op(e4,e2) )
    & e0 = op(op(e1,e0),op(e0,e1))
    & ( e2 = op(e4,e2)
      | e2 = op(e4,e4)
      | e2 = op(e4,e1)
      | e2 = op(e4,e0)
      | e2 = op(e4,e3) )
    & ( e4 = op(e1,e4)
      | e1 = op(e1,e4)
      | e3 = op(e1,e4)
      | e0 = op(e1,e4)
      | e2 = op(e1,e4) )
    & e0 = op(e0,op(e0,e0))
    & ( e2 = op(e0,e4)
      | e3 = op(e0,e4)
      | e0 = op(e0,e4)
      | e4 = op(e0,e4)
      | e1 = op(e0,e4) )
    & e1 = op(op(e3,e1),op(e1,e3))
    & e2 = op(e0,op(e0,e2))
    & ( e3 = op(e1,e2)
      | e2 = op(e1,e2)
      | e1 = op(e1,e2)
      | e4 = op(e1,e2)
      | e0 = op(e1,e2) )
    & ( e4 = op(e2,e0)
      | e4 = op(e0,e0)
      | e4 = op(e4,e0)
      | e4 = op(e1,e0)
      | e4 = op(e3,e0) )
    & ( e2 = op(e1,e2)
      | e2 = op(e1,e1)
      | e2 = op(e1,e4)
      | e2 = op(e1,e0)
      | e2 = op(e1,e3) )
    & e2 = op(op(e2,e2),op(e2,e2))
    & ( e4 = op(e1,e4)
      | e4 = op(e1,e1)
      | e4 = op(e1,e3)
      | e4 = op(e1,e2)
      | e4 = op(e1,e0) )
    & ( e4 = op(e3,e1)
      | e4 = op(e0,e1)
      | e4 = op(e2,e1)
      | e4 = op(e1,e1)
      | e4 = op(e4,e1) )
    & ( e1 = op(e1,e3)
      | e1 = op(e0,e3)
      | e1 = op(e4,e3)
      | e1 = op(e3,e3)
      | e1 = op(e2,e3) )
    & ( e4 = op(e2,e2)
      | e0 = op(e2,e2)
      | e1 = op(e2,e2)
      | e2 = op(e2,e2)
      | e3 = op(e2,e2) )
    & ( e0 = op(e3,e3)
      | e0 = op(e2,e3)
      | e0 = op(e4,e3)
      | e0 = op(e0,e3)
      | e0 = op(e1,e3) )
    & e0 = op(e1,op(e1,e0))
    & ( e3 = op(e4,e3)
      | e3 = op(e2,e3)
      | e3 = op(e0,e3)
      | e3 = op(e1,e3)
      | e3 = op(e3,e3) )
    & e0 = op(op(e4,e0),op(e0,e4))
    & e1 = op(e0,op(e0,e1))
    & ( e4 = op(e1,e0)
      | e1 = op(e1,e0)
      | e3 = op(e1,e0)
      | e2 = op(e1,e0)
      | e0 = op(e1,e0) )
    & ( e4 = op(e0,e3)
      | e1 = op(e0,e3)
      | e3 = op(e0,e3)
      | e2 = op(e0,e3)
      | e0 = op(e0,e3) )
    & ( e4 = op(e2,e0)
      | e4 = op(e2,e2)
      | e4 = op(e2,e4)
      | e4 = op(e2,e3)
      | e4 = op(e2,e1) )
    & e3 = op(op(e1,e3),op(e3,e1))
    & e3 = op(e1,op(e1,e3))
    & e3 = op(op(e3,e3),op(e3,e3))
    & ( e1 = op(e3,e1)
      | e1 = op(e1,e1)
      | e1 = op(e2,e1)
      | e1 = op(e0,e1)
      | e1 = op(e4,e1) )
    & ( e4 = op(e0,e2)
      | e3 = op(e0,e2)
      | e2 = op(e0,e2)
      | e0 = op(e0,e2)
      | e1 = op(e0,e2) )
    & e3 = op(e4,op(e4,e3))
    & e2 = op(e4,op(e4,e2))
    & ( e3 = op(e0,e0)
      | e2 = op(e0,e0)
      | e4 = op(e0,e0)
      | e0 = op(e0,e0)
      | e1 = op(e0,e0) )
    & ( e4 = op(e2,e3)
      | e4 = op(e0,e3)
      | e4 = op(e4,e3)
      | e4 = op(e3,e3)
      | e4 = op(e1,e3) )
    & e0 = op(op(e0,e0),op(e0,e0))
    & ( e3 = op(e1,e1)
      | e3 = op(e1,e2)
      | e3 = op(e1,e3)
      | e3 = op(e1,e4)
      | e3 = op(e1,e0) )
    & ( e4 = op(e3,e2)
      | e4 = op(e1,e2)
      | e4 = op(e4,e2)
      | e4 = op(e2,e2)
      | e4 = op(e0,e2) )
    & ( e2 = op(e3,e0)
      | e4 = op(e3,e0)
      | e0 = op(e3,e0)
      | e3 = op(e3,e0)
      | e1 = op(e3,e0) )
    & ( e0 = op(e4,e2)
      | e0 = op(e4,e0)
      | e0 = op(e4,e1)
      | e0 = op(e4,e3)
      | e0 = op(e4,e4) )
    & ( e0 = op(e0,e1)
      | e1 = op(e0,e1)
      | e4 = op(e0,e1)
      | e2 = op(e0,e1)
      | e3 = op(e0,e1) )
    & ( e2 = op(e4,e1)
      | e2 = op(e2,e1)
      | e2 = op(e3,e1)
      | e2 = op(e1,e1)
      | e2 = op(e0,e1) )
    & e2 = op(op(e3,e2),op(e2,e3))
    & ( e4 = op(e3,e2)
      | e0 = op(e3,e2)
      | e3 = op(e3,e2)
      | e2 = op(e3,e2)
      | e1 = op(e3,e2) )
    & ( e3 = op(e3,e3)
      | e3 = op(e3,e1)
      | e3 = op(e3,e2)
      | e3 = op(e3,e4)
      | e3 = op(e3,e0) )
    & e1 = op(e1,op(e1,e1))
    & ( e1 = op(e4,e4)
      | e4 = op(e4,e4)
      | e3 = op(e4,e4)
      | e0 = op(e4,e4)
      | e2 = op(e4,e4) )
    & e0 = op(e2,op(e2,e0))
    & ( e2 = op(e1,e4)
      | e2 = op(e3,e4)
      | e2 = op(e0,e4)
      | e2 = op(e4,e4)
      | e2 = op(e2,e4) )
    & e4 = op(op(e1,e4),op(e4,e1))
    & ( e0 = op(e0,e4)
      | e0 = op(e4,e4)
      | e0 = op(e3,e4)
      | e0 = op(e1,e4)
      | e0 = op(e2,e4) )
    & e4 = op(op(e0,e4),op(e4,e0))
    & ( e3 = op(e2,e4)
      | e2 = op(e2,e4)
      | e1 = op(e2,e4)
      | e0 = op(e2,e4)
      | e4 = op(e2,e4) )
    & ( e1 = op(e0,e4)
      | e1 = op(e2,e4)
      | e1 = op(e1,e4)
      | e1 = op(e4,e4)
      | e1 = op(e3,e4) )
    & e2 = op(op(e1,e2),op(e2,e1))
    & ( e2 = op(e0,e0)
      | e2 = op(e0,e2)
      | e2 = op(e0,e4)
      | e2 = op(e0,e1)
      | e2 = op(e0,e3) )
    & e3 = op(e3,op(e3,e3))
    & ( e3 = op(e1,e3)
      | e1 = op(e1,e3)
      | e0 = op(e1,e3)
      | e2 = op(e1,e3)
      | e4 = op(e1,e3) )
    & ( e3 = op(e0,e3)
      | e3 = op(e0,e2)
      | e3 = op(e0,e0)
      | e3 = op(e0,e4)
      | e3 = op(e0,e1) )
    & ( e1 = op(e0,e1)
      | e1 = op(e0,e2)
      | e1 = op(e0,e4)
      | e1 = op(e0,e3)
      | e1 = op(e0,e0) )
    & ( e2 = op(e3,e0)
      | e2 = op(e3,e4)
      | e2 = op(e3,e1)
      | e2 = op(e3,e3)
      | e2 = op(e3,e2) )
    & ( e1 = op(e4,e2)
      | e4 = op(e4,e2)
      | e3 = op(e4,e2)
      | e2 = op(e4,e2)
      | e0 = op(e4,e2) )
    & e4 = op(op(e4,e4),op(e4,e4))
    & ( e4 = op(e4,e0)
      | e4 = op(e4,e2)
      | e4 = op(e4,e1)
      | e4 = op(e4,e4)
      | e4 = op(e4,e3) )
    & ( e1 = op(e3,e0)
      | e1 = op(e1,e0)
      | e1 = op(e4,e0)
      | e1 = op(e0,e0)
      | e1 = op(e2,e0) )
    & e4 = op(op(e3,e4),op(e4,e3))
    & e4 = op(e0,op(e0,e4))
    & e3 = op(e2,op(e2,e3))
    & e1 = op(op(e4,e1),op(e1,e4))
    & ( e4 = op(e3,e2)
      | e4 = op(e3,e1)
      | e4 = op(e3,e3)
      | e4 = op(e3,e0)
      | e4 = op(e3,e4) )
    & ( e3 = op(e1,e0)
      | e3 = op(e0,e0)
      | e3 = op(e2,e0)
      | e3 = op(e4,e0)
      | e3 = op(e3,e0) )
    & e4 = op(e3,op(e3,e4))
    & e2 = op(e2,op(e2,e2))
    & ( e2 = op(e4,e3)
      | e0 = op(e4,e3)
      | e3 = op(e4,e3)
      | e1 = op(e4,e3)
      | e4 = op(e4,e3) )
    & ( e0 = op(e0,e3)
      | e0 = op(e0,e1)
      | e0 = op(e0,e0)
      | e0 = op(e0,e2)
      | e0 = op(e0,e4) )
    & ( e1 = op(e2,e2)
      | e1 = op(e0,e2)
      | e1 = op(e1,e2)
      | e1 = op(e3,e2)
      | e1 = op(e4,e2) )
    & e1 = op(op(e1,e1),op(e1,e1))
    & e4 = op(e1,op(e1,e4))
    & ( e4 = op(e2,e3)
      | e1 = op(e2,e3)
      | e2 = op(e2,e3)
      | e3 = op(e2,e3)
      | e0 = op(e2,e3) )
    & e1 = op(op(e2,e1),op(e1,e2))
    & e1 = op(e3,op(e3,e1))
    & e2 = op(e3,op(e3,e2))
    & ( e3 = op(e2,e4)
      | e3 = op(e2,e3)
      | e3 = op(e2,e0)
      | e3 = op(e2,e2)
      | e3 = op(e2,e1) )
    & ( e0 = op(e2,e0)
      | e3 = op(e2,e0)
      | e4 = op(e2,e0)
      | e2 = op(e2,e0)
      | e1 = op(e2,e0) )
    & ( e0 = op(e4,e1)
      | e4 = op(e4,e1)
      | e1 = op(e4,e1)
      | e3 = op(e4,e1)
      | e2 = op(e4,e1) )
    & e4 = op(e4,op(e4,e4))
    & ( e2 = op(e2,e2)
      | e2 = op(e0,e2)
      | e2 = op(e4,e2)
      | e2 = op(e1,e2)
      | e2 = op(e3,e2) )
    & ( e0 = op(e3,e3)
      | e0 = op(e3,e4)
      | e0 = op(e3,e1)
      | e0 = op(e3,e0)
      | e0 = op(e3,e2) )
    & e0 = op(op(e3,e0),op(e0,e3))
    & ( e0 = op(e0,e2)
      | e0 = op(e3,e2)
      | e0 = op(e4,e2)
      | e0 = op(e2,e2)
      | e0 = op(e1,e2) )
    & e0 = op(op(e2,e0),op(e0,e2))
    & ( e2 = op(e4,e0)
      | e2 = op(e1,e0)
      | e2 = op(e0,e0)
      | e2 = op(e2,e0)
      | e2 = op(e3,e0) )
    & e2 = op(op(e4,e2),op(e2,e4))
    & ( e4 = op(e0,e2)
      | e4 = op(e0,e4)
      | e4 = op(e0,e1)
      | e4 = op(e0,e0)
      | e4 = op(e0,e3) )
    & ( e1 = op(e2,e1)
      | e1 = op(e2,e0)
      | e1 = op(e2,e3)
      | e1 = op(e2,e4)
      | e1 = op(e2,e2) )
    & ( e4 = op(e4,e4)
      | e4 = op(e3,e4)
      | e4 = op(e1,e4)
      | e4 = op(e2,e4)
      | e4 = op(e0,e4) )
    & e1 = op(e2,op(e2,e1))
    & ( e0 = op(e3,e0)
      | e0 = op(e4,e0)
      | e0 = op(e0,e0)
      | e0 = op(e1,e0)
      | e0 = op(e2,e0) )
    & e1 = op(op(e0,e1),op(e1,e0))
    & ( e1 = op(e1,e2)
      | e1 = op(e1,e0)
      | e1 = op(e1,e4)
      | e1 = op(e1,e3)
      | e1 = op(e1,e1) )
    & e0 = op(e4,op(e4,e0))
    & ( e2 = op(e2,e0)
      | e2 = op(e2,e3)
      | e2 = op(e2,e1)
      | e2 = op(e2,e2)
      | e2 = op(e2,e4) )
    & ( e3 = op(e2,e4)
      | e3 = op(e3,e4)
      | e3 = op(e4,e4)
      | e3 = op(e0,e4)
      | e3 = op(e1,e4) )
    & e3 = op(op(e0,e3),op(e3,e0))
    & ( e0 = op(e1,e2)
      | e0 = op(e1,e1)
      | e0 = op(e1,e4)
      | e0 = op(e1,e0)
      | e0 = op(e1,e3) )
    & e4 = op(op(e2,e4),op(e4,e2))
    & ( e0 = op(e3,e4)
      | e4 = op(e3,e4)
      | e2 = op(e3,e4)
      | e3 = op(e3,e4)
      | e1 = op(e3,e4) )
    & ( e3 = op(e4,e1)
      | e3 = op(e4,e4)
      | e3 = op(e4,e3)
      | e3 = op(e4,e2)
      | e3 = op(e4,e0) )
    & e3 = op(op(e2,e3),op(e3,e2))
    & e0 = op(e3,op(e3,e0))
    & ( e3 = op(e4,e0)
      | e2 = op(e4,e0)
      | e0 = op(e4,e0)
      | e1 = op(e4,e0)
      | e4 = op(e4,e0) )
    & ( e0 = op(e2,e0)
      | e0 = op(e2,e1)
      | e0 = op(e2,e3)
      | e0 = op(e2,e4)
      | e0 = op(e2,e2) )
    & e3 = op(e0,op(e0,e3))
    & ( e3 = op(e2,e1)
      | e3 = op(e1,e1)
      | e3 = op(e4,e1)
      | e3 = op(e0,e1)
      | e3 = op(e3,e1) )
    & e3 = op(op(e4,e3),op(e3,e4))
    & ( e1 = op(e3,e4)
      | e1 = op(e3,e3)
      | e1 = op(e3,e0)
      | e1 = op(e3,e1)
      | e1 = op(e3,e2) )
    & ( e0 = op(e1,e1)
      | e4 = op(e1,e1)
      | e2 = op(e1,e1)
      | e1 = op(e1,e1)
      | e3 = op(e1,e1) )
    & ( e4 = op(e3,e3)
      | e1 = op(e3,e3)
      | e3 = op(e3,e3)
      | e0 = op(e3,e3)
      | e2 = op(e3,e3) )
    & ( e2 = op(e3,e1)
      | e4 = op(e3,e1)
      | e1 = op(e3,e1)
      | e3 = op(e3,e1)
      | e0 = op(e3,e1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f871,plain,
    ( ~ spl74_67
    | ~ spl74_62 ),
    inference(avatar_split_clause,[],[f398,f845,f868]) ).

fof(f398,plain,
    ( e1 != op(e3,e4)
    | ~ sP32 ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ( ( e1 != op(e3,e3)
      & e1 != op(e3,e4)
      & e1 != op(e3,e1)
      & e1 != op(e3,e0)
      & e1 != op(e3,e2) )
    | ~ sP32 ),
    inference(nnf_transformation,[],[f38]) ).

fof(f848,plain,
    ( ~ spl74_12
    | ~ spl74_62 ),
    inference(avatar_split_clause,[],[f401,f845,f615]) ).

fof(f401,plain,
    ( e1 != op(e3,e4)
    | ~ sP31 ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ( ( e0 != op(e3,e4)
      & e3 != op(e3,e4)
      & e2 != op(e3,e4)
      & e1 != op(e3,e4)
      & e4 != op(e3,e4) )
    | ~ sP31 ),
    inference(nnf_transformation,[],[f37]) ).

fof(f791,plain,
    ( ~ spl74_49
    | ~ spl74_50 ),
    inference(avatar_split_clause,[],[f337,f788,f784]) ).

fof(f337,plain,
    ( e1 != op(e1,e1)
    | ~ sP44 ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ( ( e0 != op(e1,e1)
      & e3 != op(e1,e1)
      & e1 != op(e1,e1)
      & e4 != op(e1,e1)
      & e2 != op(e1,e1) )
    | ~ sP44 ),
    inference(nnf_transformation,[],[f50]) ).

fof(f782,plain,
    ( ~ spl74_47
    | ~ spl74_48 ),
    inference(avatar_split_clause,[],[f383,f779,f775]) ).

fof(f383,plain,
    ( e1 != op(e4,e2)
    | ~ sP35 ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ( ( e2 != op(e4,e2)
      & e1 != op(e4,e2)
      & e3 != op(e4,e2)
      & e4 != op(e4,e2)
      & e0 != op(e4,e2) )
    | ~ sP35 ),
    inference(nnf_transformation,[],[f41]) ).

fof(f690,plain,
    ( ~ spl74_27
    | ~ spl74_28 ),
    inference(avatar_split_clause,[],[f445,f687,f683]) ).

fof(f445,plain,
    ( ~ sP22
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ( ( e1 != op(e2,e2)
      & e3 != op(e2,e2)
      & e4 != op(e2,e2)
      & e0 != op(e2,e2)
      & e2 != op(e2,e2) )
    | ~ sP22 ),
    inference(nnf_transformation,[],[f28]) ).

fof(f609,plain,
    ( ~ spl74_9
    | ~ spl74_10 ),
    inference(avatar_split_clause,[],[f476,f606,f602]) ).

fof(f476,plain,
    ( e2 != op(e4,e1)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ( ( e2 != op(e3,e1)
      & e2 != op(e0,e1)
      & e2 != op(e2,e1)
      & e2 != op(e4,e1)
      & e2 != op(e1,e1) )
    | ~ sP16 ),
    inference(nnf_transformation,[],[f22]) ).

fof(f582,plain,
    ( ~ spl74_3
    | ~ spl74_4 ),
    inference(avatar_split_clause,[],[f357,f579,f575]) ).

fof(f357,plain,
    ( e0 != op(e4,e3)
    | ~ sP40 ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ( ( e2 != op(e4,e3)
      & e4 != op(e4,e3)
      & e0 != op(e4,e3)
      & e1 != op(e4,e3)
      & e3 != op(e4,e3) )
    | ~ sP40 ),
    inference(nnf_transformation,[],[f46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : ALG188+1 : TPTP v8.1.0. Released v2.7.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 14:58:22 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.47  % (14731)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.47  % (14723)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.49  % (14731)Instruction limit reached!
% 0.21/0.49  % (14731)------------------------------
% 0.21/0.49  % (14731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49  % (14731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49  % (14731)Termination reason: Unknown
% 0.21/0.49  % (14731)Termination phase: Property scanning
% 0.21/0.49  
% 0.21/0.49  % (14731)Memory used [KB]: 1663
% 0.21/0.49  % (14731)Time elapsed: 0.007 s
% 0.21/0.49  % (14731)Instructions burned: 8 (million)
% 0.21/0.49  % (14731)------------------------------
% 0.21/0.49  % (14731)------------------------------
% 0.21/0.50  % (14723)Instruction limit reached!
% 0.21/0.50  % (14723)------------------------------
% 0.21/0.50  % (14723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (14723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (14723)Termination reason: Unknown
% 0.21/0.50  % (14723)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (14723)Memory used [KB]: 6652
% 0.21/0.50  % (14723)Time elapsed: 0.027 s
% 0.21/0.50  % (14723)Instructions burned: 39 (million)
% 0.21/0.50  % (14723)------------------------------
% 0.21/0.50  % (14723)------------------------------
% 0.21/0.52  % (14720)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.52  % (14738)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.53  % (14724)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.53  % (14730)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53  % (14730)Instruction limit reached!
% 0.21/0.53  % (14730)------------------------------
% 0.21/0.53  % (14730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (14730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (14730)Termination reason: Unknown
% 0.21/0.53  % (14730)Termination phase: Naming
% 0.21/0.53  
% 0.21/0.53  % (14730)Memory used [KB]: 1535
% 0.21/0.53  % (14730)Time elapsed: 0.003 s
% 0.21/0.53  % (14730)Instructions burned: 4 (million)
% 0.21/0.53  % (14730)------------------------------
% 0.21/0.53  % (14730)------------------------------
% 0.21/0.54  % (14722)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.54  % (14728)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.54  % (14739)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.55  % (14743)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.55  % (14716)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.55  % (14741)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.55  % (14718)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.55  % (14721)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.55  % (14719)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55  % (14744)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.55  % (14718)Instruction limit reached!
% 0.21/0.55  % (14718)------------------------------
% 0.21/0.55  % (14718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (14718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (14718)Termination reason: Unknown
% 0.21/0.55  % (14718)Termination phase: Naming
% 0.21/0.55  
% 0.21/0.55  % (14718)Memory used [KB]: 1535
% 0.21/0.55  % (14718)Time elapsed: 0.004 s
% 0.21/0.55  % (14718)Instructions burned: 4 (million)
% 0.21/0.55  % (14718)------------------------------
% 0.21/0.55  % (14718)------------------------------
% 0.21/0.55  % (14717)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.55  % (14744)Instruction limit reached!
% 0.21/0.55  % (14744)------------------------------
% 0.21/0.55  % (14744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (14744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (14744)Termination reason: Unknown
% 0.21/0.55  % (14744)Termination phase: Property scanning
% 0.21/0.55  
% 0.21/0.55  % (14744)Memory used [KB]: 1663
% 0.21/0.55  % (14744)Time elapsed: 0.005 s
% 0.21/0.55  % (14744)Instructions burned: 10 (million)
% 0.21/0.55  % (14744)------------------------------
% 0.21/0.55  % (14744)------------------------------
% 0.21/0.55  % (14734)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55  % (14721)Instruction limit reached!
% 0.21/0.55  % (14721)------------------------------
% 0.21/0.55  % (14721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (14721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (14721)Termination reason: Unknown
% 0.21/0.55  % (14721)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (14721)Memory used [KB]: 1918
% 0.21/0.55  % (14721)Time elapsed: 0.008 s
% 0.21/0.55  % (14721)Instructions burned: 15 (million)
% 0.21/0.55  % (14721)------------------------------
% 0.21/0.55  % (14721)------------------------------
% 0.21/0.55  % (14736)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.55  % (14734)Instruction limit reached!
% 0.21/0.55  % (14734)------------------------------
% 0.21/0.55  % (14734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (14734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (14734)Termination reason: Unknown
% 0.21/0.55  % (14734)Termination phase: SInE selection
% 0.21/0.55  
% 0.21/0.55  % (14734)Memory used [KB]: 1407
% 0.21/0.55  % (14734)Time elapsed: 0.002 s
% 0.21/0.55  % (14734)Instructions burned: 2 (million)
% 0.21/0.55  % (14734)------------------------------
% 0.21/0.55  % (14734)------------------------------
% 0.21/0.55  % (14717)Instruction limit reached!
% 0.21/0.55  % (14717)------------------------------
% 0.21/0.55  % (14717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (14717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (14717)Termination reason: Unknown
% 0.21/0.55  % (14717)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (14717)Memory used [KB]: 1791
% 0.21/0.55  % (14717)Time elapsed: 0.007 s
% 0.21/0.55  % (14717)Instructions burned: 14 (million)
% 0.21/0.55  % (14717)------------------------------
% 0.21/0.55  % (14717)------------------------------
% 0.21/0.56  % (14742)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.56  % (14737)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.56  % (14733)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.56  % (14733)Instruction limit reached!
% 0.21/0.56  % (14733)------------------------------
% 0.21/0.56  % (14733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (14733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (14733)Termination reason: Unknown
% 0.21/0.56  % (14733)Termination phase: Naming
% 0.21/0.56  
% 0.21/0.56  % (14733)Memory used [KB]: 1535
% 0.21/0.56  % (14733)Time elapsed: 0.003 s
% 0.21/0.56  % (14733)Instructions burned: 4 (million)
% 0.21/0.56  % (14733)------------------------------
% 0.21/0.56  % (14733)------------------------------
% 0.21/0.56  % (14735)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.21/0.56  % (14726)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.56  % (14725)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.56  % (14728)Instruction limit reached!
% 0.21/0.56  % (14728)------------------------------
% 0.21/0.56  % (14728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (14728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (14728)Termination reason: Unknown
% 0.21/0.56  % (14728)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (14728)Memory used [KB]: 1791
% 0.21/0.56  % (14728)Time elapsed: 0.008 s
% 0.21/0.56  % (14728)Instructions burned: 18 (million)
% 0.21/0.56  % (14728)------------------------------
% 0.21/0.56  % (14728)------------------------------
% 0.21/0.56  % (14729)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.57/0.57  % (14726)Instruction limit reached!
% 1.57/0.57  % (14726)------------------------------
% 1.57/0.57  % (14726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57  % (14726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57  % (14726)Termination reason: Unknown
% 1.57/0.57  % (14726)Termination phase: Equality proxy
% 1.57/0.57  
% 1.57/0.57  % (14726)Memory used [KB]: 1791
% 1.57/0.57  % (14726)Time elapsed: 0.006 s
% 1.57/0.57  % (14726)Instructions burned: 12 (million)
% 1.57/0.57  % (14726)------------------------------
% 1.57/0.57  % (14726)------------------------------
% 1.57/0.57  % (14727)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.57/0.57  % (14745)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.57/0.57  % (14727)Instruction limit reached!
% 1.57/0.57  % (14727)------------------------------
% 1.57/0.57  % (14727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57  % (14727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57  % (14727)Termination reason: Unknown
% 1.57/0.57  % (14727)Termination phase: Property scanning
% 1.57/0.57  
% 1.57/0.57  % (14727)Memory used [KB]: 1663
% 1.57/0.57  % (14727)Time elapsed: 0.004 s
% 1.57/0.57  % (14727)Instructions burned: 9 (million)
% 1.57/0.57  % (14727)------------------------------
% 1.57/0.57  % (14727)------------------------------
% 1.57/0.57  % (14720)Instruction limit reached!
% 1.57/0.57  % (14720)------------------------------
% 1.57/0.57  % (14720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57  % (14720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57  % (14720)Termination reason: Unknown
% 1.57/0.57  % (14720)Termination phase: Clausification
% 1.57/0.57  
% 1.57/0.57  % (14720)Memory used [KB]: 17270
% 1.57/0.57  % (14720)Time elapsed: 0.016 s
% 1.57/0.57  % (14720)Instructions burned: 13 (million)
% 1.57/0.57  % (14720)------------------------------
% 1.57/0.57  % (14720)------------------------------
% 1.57/0.57  % (14740)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.57/0.57  % (14732)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.57/0.58  % (14736)Instruction limit reached!
% 1.57/0.58  % (14736)------------------------------
% 1.57/0.58  % (14736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.58  % (14736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.58  % (14736)Termination reason: Unknown
% 1.57/0.58  % (14736)Termination phase: Property scanning
% 1.57/0.58  
% 1.57/0.58  % (14736)Memory used [KB]: 2174
% 1.57/0.58  % (14736)Time elapsed: 0.012 s
% 1.57/0.58  % (14736)Instructions burned: 30 (million)
% 1.57/0.58  % (14736)------------------------------
% 1.57/0.58  % (14736)------------------------------
% 1.57/0.58  % (14735)Instruction limit reached!
% 1.57/0.58  % (14735)------------------------------
% 1.57/0.58  % (14735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.58  % (14735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.58  % (14735)Termination reason: Unknown
% 1.57/0.58  % (14735)Termination phase: Property scanning
% 1.57/0.58  
% 1.57/0.58  % (14735)Memory used [KB]: 1791
% 1.57/0.58  % (14735)Time elapsed: 0.006 s
% 1.57/0.58  % (14735)Instructions burned: 13 (million)
% 1.57/0.58  % (14735)------------------------------
% 1.57/0.58  % (14735)------------------------------
% 1.57/0.59  % (14743)Instruction limit reached!
% 1.57/0.59  % (14743)------------------------------
% 1.57/0.59  % (14743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.59  % (14743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.59  % (14743)Termination reason: Unknown
% 1.57/0.59  % (14743)Termination phase: Saturation
% 1.57/0.59  
% 1.57/0.59  % (14743)Memory used [KB]: 7036
% 1.57/0.59  % (14743)Time elapsed: 0.164 s
% 1.57/0.59  % (14743)Instructions burned: 26 (million)
% 1.57/0.59  % (14743)------------------------------
% 1.57/0.59  % (14743)------------------------------
% 1.57/0.59  % (14722)First to succeed.
% 1.77/0.60  % (14746)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.77/0.61  % (14740)Refutation not found, incomplete strategy% (14740)------------------------------
% 1.77/0.61  % (14740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.61  % (14740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.61  % (14740)Termination reason: Refutation not found, incomplete strategy
% 1.77/0.61  
% 1.77/0.61  % (14740)Memory used [KB]: 7164
% 1.77/0.61  % (14740)Time elapsed: 0.193 s
% 1.77/0.61  % (14740)Instructions burned: 27 (million)
% 1.77/0.61  % (14740)------------------------------
% 1.77/0.61  % (14740)------------------------------
% 1.77/0.61  % (14719)Instruction limit reached!
% 1.77/0.61  % (14719)------------------------------
% 1.77/0.61  % (14719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.61  % (14719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.61  % (14719)Termination reason: Unknown
% 1.77/0.61  % (14719)Termination phase: Saturation
% 1.77/0.61  
% 1.77/0.61  % (14719)Memory used [KB]: 6652
% 1.77/0.61  % (14719)Time elapsed: 0.027 s
% 1.77/0.61  % (14719)Instructions burned: 51 (million)
% 1.77/0.61  % (14719)------------------------------
% 1.77/0.61  % (14719)------------------------------
% 1.77/0.62  % (14725)Instruction limit reached!
% 1.77/0.62  % (14725)------------------------------
% 1.77/0.62  % (14725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.62  % (14725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.62  % (14725)Termination reason: Unknown
% 1.77/0.62  % (14725)Termination phase: Saturation
% 1.77/0.62  
% 1.77/0.62  % (14725)Memory used [KB]: 6524
% 1.77/0.62  % (14725)Time elapsed: 0.018 s
% 1.77/0.62  % (14725)Instructions burned: 34 (million)
% 1.77/0.62  % (14725)------------------------------
% 1.77/0.62  % (14725)------------------------------
% 1.77/0.62  % (14716)Also succeeded, but the first one will report.
% 1.77/0.63  % (14722)Refutation found. Thanks to Tanya!
% 1.77/0.63  % SZS status Theorem for theBenchmark
% 1.77/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 1.77/0.63  % (14722)------------------------------
% 1.77/0.63  % (14722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.63  % (14722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.63  % (14722)Termination reason: Refutation
% 1.77/0.63  
% 1.77/0.63  % (14722)Memory used [KB]: 7547
% 1.77/0.63  % (14722)Time elapsed: 0.161 s
% 1.77/0.63  % (14722)Instructions burned: 31 (million)
% 1.77/0.63  % (14722)------------------------------
% 1.77/0.63  % (14722)------------------------------
% 1.77/0.63  % (14715)Success in time 0.256 s
%------------------------------------------------------------------------------