TSTP Solution File: ALG186+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG186+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_sat --cores 0 -t %d %s

% Computer : n027.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 15:43:24 EDT 2022

% Result   : Theorem 1.77s 0.59s
% Output   : Refutation 1.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  204
% Syntax   : Number of formulae    :  659 (  91 unt;   0 def)
%            Number of atoms       : 4118 (2548 equ)
%            Maximal formula atoms :  425 (   6 avg)
%            Number of connectives : 5590 (2131   ~;2152   |;1181   &)
%                                         ( 126 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  106 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :  203 ( 201 usr; 202 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2166,plain,
    $false,
    inference(avatar_sat_refutation,[],[f607,f648,f807,f812,f818,f847,f856,f1191,f1193,f1214,f1254,f1266,f1280,f1333,f1341,f1353,f1376,f1382,f1411,f1420,f1438,f1439,f1452,f1455,f1462,f1470,f1490,f1491,f1511,f1516,f1522,f1523,f1540,f1544,f1549,f1551,f1552,f1558,f1580,f1582,f1610,f1611,f1612,f1625,f1634,f1643,f1662,f1669,f1689,f1690,f1693,f1710,f1735,f1737,f1738,f1745,f1753,f1761,f1766,f1767,f1772,f1780,f1786,f1788,f1795,f1798,f1813,f1817,f1820,f1825,f1830,f1831,f1838,f1841,f1851,f1852,f1854,f1857,f1863,f1869,f1870,f1872,f1879,f1890,f1894,f1907,f1908,f1909,f1911,f1916,f1917,f1926,f1934,f1940,f1941,f1946,f1947,f1949,f1954,f1974,f1976,f1980,f1985,f1991,f1997,f2000,f2006,f2011,f2017,f2022,f2027,f2031,f2037,f2043,f2051,f2057,f2061,f2068,f2071,f2078,f2083,f2092,f2107,f2114,f2127,f2146,f2155]) ).

fof(f2155,plain,
    ( spl75_147
    | ~ spl75_166
    | ~ spl75_179 ),
    inference(avatar_contradiction_clause,[],[f2154]) ).

fof(f2154,plain,
    ( $false
    | spl75_147
    | ~ spl75_166
    | ~ spl75_179 ),
    inference(subsumption_resolution,[],[f2153,f1220]) ).

fof(f1220,plain,
    ( e0 != e4
    | spl75_147 ),
    inference(avatar_component_clause,[],[f1218]) ).

fof(f1218,plain,
    ( spl75_147
  <=> e0 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_147])]) ).

fof(f2153,plain,
    ( e0 = e4
    | ~ spl75_166
    | ~ spl75_179 ),
    inference(forward_demodulation,[],[f1328,f1409]) ).

fof(f1409,plain,
    ( e4 = op(e0,e4)
    | ~ spl75_179 ),
    inference(avatar_component_clause,[],[f1408]) ).

fof(f1408,plain,
    ( spl75_179
  <=> e4 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_179])]) ).

fof(f1328,plain,
    ( e0 = op(e0,e4)
    | ~ spl75_166 ),
    inference(avatar_component_clause,[],[f1326]) ).

fof(f1326,plain,
    ( spl75_166
  <=> e0 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_166])]) ).

fof(f2146,plain,
    ( spl75_143
    | ~ spl75_165
    | ~ spl75_199 ),
    inference(avatar_contradiction_clause,[],[f2145]) ).

fof(f2145,plain,
    ( $false
    | spl75_143
    | ~ spl75_165
    | ~ spl75_199 ),
    inference(subsumption_resolution,[],[f2144,f1198]) ).

fof(f1198,plain,
    ( e2 != e3
    | spl75_143 ),
    inference(avatar_component_clause,[],[f1196]) ).

fof(f1196,plain,
    ( spl75_143
  <=> e2 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_143])]) ).

fof(f2144,plain,
    ( e2 = e3
    | ~ spl75_165
    | ~ spl75_199 ),
    inference(forward_demodulation,[],[f1324,f1547]) ).

fof(f1547,plain,
    ( e2 = op(e3,e4)
    | ~ spl75_199 ),
    inference(avatar_component_clause,[],[f1546]) ).

fof(f1546,plain,
    ( spl75_199
  <=> e2 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_199])]) ).

fof(f1324,plain,
    ( e3 = op(e3,e4)
    | ~ spl75_165 ),
    inference(avatar_component_clause,[],[f1322]) ).

fof(f1322,plain,
    ( spl75_165
  <=> e3 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_165])]) ).

fof(f2127,plain,
    ( ~ spl75_7
    | ~ spl75_163
    | spl75_214 ),
    inference(avatar_contradiction_clause,[],[f2126]) ).

fof(f2126,plain,
    ( $false
    | ~ spl75_7
    | ~ spl75_163
    | spl75_214 ),
    inference(subsumption_resolution,[],[f2125,f1700]) ).

fof(f1700,plain,
    ( e0 != e2
    | spl75_214 ),
    inference(avatar_component_clause,[],[f1698]) ).

fof(f1698,plain,
    ( spl75_214
  <=> e0 = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_214])]) ).

fof(f2125,plain,
    ( e0 = e2
    | ~ spl75_7
    | ~ spl75_163 ),
    inference(forward_demodulation,[],[f1316,f601]) ).

fof(f601,plain,
    ( e0 = op(e2,e4)
    | ~ spl75_7 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f600,plain,
    ( spl75_7
  <=> e0 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_7])]) ).

fof(f1316,plain,
    ( e2 = op(e2,e4)
    | ~ spl75_163 ),
    inference(avatar_component_clause,[],[f1314]) ).

fof(f1314,plain,
    ( spl75_163
  <=> e2 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_163])]) ).

fof(f2114,plain,
    ( ~ spl75_7
    | spl75_114
    | ~ spl75_146 ),
    inference(avatar_contradiction_clause,[],[f2113]) ).

fof(f2113,plain,
    ( $false
    | ~ spl75_7
    | spl75_114
    | ~ spl75_146 ),
    inference(subsumption_resolution,[],[f2112,f1212]) ).

fof(f1212,plain,
    ( e2 = op(e4,e0)
    | ~ spl75_146 ),
    inference(avatar_component_clause,[],[f1211]) ).

fof(f1211,plain,
    ( spl75_146
  <=> e2 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_146])]) ).

fof(f2112,plain,
    ( e2 != op(e4,e0)
    | ~ spl75_7
    | spl75_114 ),
    inference(forward_demodulation,[],[f2111,f558]) ).

fof(f558,plain,
    e4 = op(e4,e2),
    inference(cnf_transformation,[],[f2]) ).

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

fof(f2111,plain,
    ( e2 != op(op(e4,e2),e0)
    | ~ spl75_7
    | spl75_114 ),
    inference(forward_demodulation,[],[f1078,f601]) ).

fof(f1078,plain,
    ( e2 != op(op(e4,e2),op(e2,e4))
    | spl75_114 ),
    inference(avatar_component_clause,[],[f1076]) ).

fof(f1076,plain,
    ( spl75_114
  <=> e2 = op(op(e4,e2),op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_114])]) ).

fof(f2107,plain,
    ( spl75_98
    | ~ spl75_194 ),
    inference(avatar_contradiction_clause,[],[f2106]) ).

fof(f2106,plain,
    ( $false
    | spl75_98
    | ~ spl75_194 ),
    inference(subsumption_resolution,[],[f2105,f555]) ).

fof(f555,plain,
    e0 = op(e0,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2105,plain,
    ( e0 != op(e0,e2)
    | spl75_98
    | ~ spl75_194 ),
    inference(forward_demodulation,[],[f2104,f571]) ).

fof(f571,plain,
    e0 = op(e1,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2104,plain,
    ( e0 != op(op(e1,e0),e2)
    | spl75_98
    | ~ spl75_194 ),
    inference(forward_demodulation,[],[f1014,f1514]) ).

fof(f1514,plain,
    ( e2 = op(e0,e1)
    | ~ spl75_194 ),
    inference(avatar_component_clause,[],[f1513]) ).

fof(f1513,plain,
    ( spl75_194
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_194])]) ).

fof(f1014,plain,
    ( e0 != op(op(e1,e0),op(e0,e1))
    | spl75_98 ),
    inference(avatar_component_clause,[],[f1012]) ).

fof(f1012,plain,
    ( spl75_98
  <=> e0 = op(op(e1,e0),op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_98])]) ).

fof(f2092,plain,
    ( ~ spl75_7
    | spl75_122
    | ~ spl75_179 ),
    inference(avatar_contradiction_clause,[],[f2091]) ).

fof(f2091,plain,
    ( $false
    | ~ spl75_7
    | spl75_122
    | ~ spl75_179 ),
    inference(subsumption_resolution,[],[f2090,f1409]) ).

fof(f2090,plain,
    ( e4 != op(e0,e4)
    | ~ spl75_7
    | spl75_122 ),
    inference(forward_demodulation,[],[f2089,f601]) ).

fof(f2089,plain,
    ( e4 != op(op(e2,e4),e4)
    | spl75_122 ),
    inference(forward_demodulation,[],[f1110,f558]) ).

fof(f1110,plain,
    ( e4 != op(op(e2,e4),op(e4,e2))
    | spl75_122 ),
    inference(avatar_component_clause,[],[f1108]) ).

fof(f1108,plain,
    ( spl75_122
  <=> e4 = op(op(e2,e4),op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_122])]) ).

fof(f2083,plain,
    ( spl75_96
    | ~ spl75_194
    | ~ spl75_218 ),
    inference(avatar_contradiction_clause,[],[f2082]) ).

fof(f2082,plain,
    ( $false
    | spl75_96
    | ~ spl75_194
    | ~ spl75_218 ),
    inference(subsumption_resolution,[],[f2081,f1751]) ).

fof(f1751,plain,
    ( e1 = op(e2,e0)
    | ~ spl75_218 ),
    inference(avatar_component_clause,[],[f1750]) ).

fof(f1750,plain,
    ( spl75_218
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_218])]) ).

fof(f2081,plain,
    ( e1 != op(e2,e0)
    | spl75_96
    | ~ spl75_194 ),
    inference(forward_demodulation,[],[f2080,f1514]) ).

fof(f2080,plain,
    ( e1 != op(op(e0,e1),e0)
    | spl75_96 ),
    inference(forward_demodulation,[],[f1006,f571]) ).

fof(f1006,plain,
    ( e1 != op(op(e0,e1),op(e1,e0))
    | spl75_96 ),
    inference(avatar_component_clause,[],[f1004]) ).

fof(f1004,plain,
    ( spl75_96
  <=> e1 = op(op(e0,e1),op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_96])]) ).

fof(f2078,plain,
    ( spl75_139
    | ~ spl75_215 ),
    inference(avatar_contradiction_clause,[],[f2077]) ).

fof(f2077,plain,
    ( $false
    | spl75_139
    | ~ spl75_215 ),
    inference(subsumption_resolution,[],[f2076,f1708]) ).

fof(f1708,plain,
    ( e0 = op(e3,e3)
    | ~ spl75_215 ),
    inference(avatar_component_clause,[],[f1707]) ).

fof(f1707,plain,
    ( spl75_215
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_215])]) ).

fof(f2076,plain,
    ( e0 != op(e3,e3)
    | spl75_139 ),
    inference(forward_demodulation,[],[f1178,f566]) ).

fof(f566,plain,
    e3 = op(e0,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1178,plain,
    ( e0 != op(op(e0,e0),op(e0,e0))
    | spl75_139 ),
    inference(avatar_component_clause,[],[f1176]) ).

fof(f1176,plain,
    ( spl75_139
  <=> e0 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_139])]) ).

fof(f2071,plain,
    ( spl75_97
    | ~ spl75_155 ),
    inference(avatar_contradiction_clause,[],[f2070]) ).

fof(f2070,plain,
    ( $false
    | spl75_97
    | ~ spl75_155 ),
    inference(subsumption_resolution,[],[f2069,f1264]) ).

fof(f1264,plain,
    ( e2 = op(e2,e2)
    | ~ spl75_155 ),
    inference(avatar_component_clause,[],[f1263]) ).

fof(f1263,plain,
    ( spl75_155
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_155])]) ).

fof(f2069,plain,
    ( e2 != op(e2,e2)
    | spl75_97
    | ~ spl75_155 ),
    inference(forward_demodulation,[],[f1010,f1264]) ).

fof(f1010,plain,
    ( e2 != op(op(e2,e2),op(e2,e2))
    | spl75_97 ),
    inference(avatar_component_clause,[],[f1008]) ).

fof(f1008,plain,
    ( spl75_97
  <=> e2 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_97])]) ).

fof(f2068,plain,
    ( ~ spl75_52
    | spl75_110
    | ~ spl75_186 ),
    inference(avatar_contradiction_clause,[],[f2067]) ).

fof(f2067,plain,
    ( $false
    | ~ spl75_52
    | spl75_110
    | ~ spl75_186 ),
    inference(subsumption_resolution,[],[f2066,f1460]) ).

fof(f1460,plain,
    ( e4 = op(e3,e0)
    | ~ spl75_186 ),
    inference(avatar_component_clause,[],[f1459]) ).

fof(f1459,plain,
    ( spl75_186
  <=> e4 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_186])]) ).

fof(f2066,plain,
    ( e4 != op(e3,e0)
    | ~ spl75_52
    | spl75_110 ),
    inference(forward_demodulation,[],[f1062,f805]) ).

fof(f805,plain,
    ( e0 = op(e4,e1)
    | ~ spl75_52 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f804,plain,
    ( spl75_52
  <=> e0 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_52])]) ).

fof(f1062,plain,
    ( e4 != op(e3,op(e4,e1))
    | spl75_110 ),
    inference(avatar_component_clause,[],[f1060]) ).

fof(f1060,plain,
    ( spl75_110
  <=> e4 = op(e3,op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_110])]) ).

fof(f2061,plain,
    ( ~ spl75_53
    | spl75_105
    | ~ spl75_168
    | ~ spl75_193 ),
    inference(avatar_contradiction_clause,[],[f2060]) ).

fof(f2060,plain,
    ( $false
    | ~ spl75_53
    | spl75_105
    | ~ spl75_168
    | ~ spl75_193 ),
    inference(subsumption_resolution,[],[f2059,f1339]) ).

fof(f1339,plain,
    ( e1 = op(e1,e2)
    | ~ spl75_168 ),
    inference(avatar_component_clause,[],[f1338]) ).

fof(f1338,plain,
    ( spl75_168
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_168])]) ).

fof(f2059,plain,
    ( e1 != op(e1,e2)
    | ~ spl75_53
    | spl75_105
    | ~ spl75_193 ),
    inference(forward_demodulation,[],[f2058,f1509]) ).

fof(f1509,plain,
    ( e1 = op(e3,e1)
    | ~ spl75_193 ),
    inference(avatar_component_clause,[],[f1508]) ).

fof(f1508,plain,
    ( spl75_193
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_193])]) ).

fof(f2058,plain,
    ( e1 != op(op(e3,e1),e2)
    | ~ spl75_53
    | spl75_105 ),
    inference(forward_demodulation,[],[f1042,f810]) ).

fof(f810,plain,
    ( e2 = op(e1,e3)
    | ~ spl75_53 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f809,plain,
    ( spl75_53
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_53])]) ).

fof(f1042,plain,
    ( e1 != op(op(e3,e1),op(e1,e3))
    | spl75_105 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f1040,plain,
    ( spl75_105
  <=> e1 = op(op(e3,e1),op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_105])]) ).

fof(f2057,plain,
    ( ~ spl75_53
    | spl75_133
    | ~ spl75_135
    | ~ spl75_193 ),
    inference(avatar_contradiction_clause,[],[f2056]) ).

fof(f2056,plain,
    ( $false
    | ~ spl75_53
    | spl75_133
    | ~ spl75_135
    | ~ spl75_193 ),
    inference(subsumption_resolution,[],[f2055,f1161]) ).

fof(f1161,plain,
    ( e3 = op(e2,e1)
    | ~ spl75_135 ),
    inference(avatar_component_clause,[],[f1160]) ).

fof(f1160,plain,
    ( spl75_135
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_135])]) ).

fof(f2055,plain,
    ( e3 != op(e2,e1)
    | ~ spl75_53
    | spl75_133
    | ~ spl75_193 ),
    inference(forward_demodulation,[],[f2054,f810]) ).

fof(f2054,plain,
    ( e3 != op(op(e1,e3),e1)
    | spl75_133
    | ~ spl75_193 ),
    inference(forward_demodulation,[],[f1154,f1509]) ).

fof(f1154,plain,
    ( e3 != op(op(e1,e3),op(e3,e1))
    | spl75_133 ),
    inference(avatar_component_clause,[],[f1152]) ).

fof(f1152,plain,
    ( spl75_133
  <=> e3 = op(op(e1,e3),op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_133])]) ).

fof(f2051,plain,
    ( ~ spl75_53
    | spl75_130
    | ~ spl75_135
    | ~ spl75_168 ),
    inference(avatar_contradiction_clause,[],[f2050]) ).

fof(f2050,plain,
    ( $false
    | ~ spl75_53
    | spl75_130
    | ~ spl75_135
    | ~ spl75_168 ),
    inference(subsumption_resolution,[],[f2049,f810]) ).

fof(f2049,plain,
    ( e2 != op(e1,e3)
    | spl75_130
    | ~ spl75_135
    | ~ spl75_168 ),
    inference(forward_demodulation,[],[f2048,f1339]) ).

fof(f2048,plain,
    ( e2 != op(op(e1,e2),e3)
    | spl75_130
    | ~ spl75_135 ),
    inference(forward_demodulation,[],[f1142,f1161]) ).

fof(f1142,plain,
    ( e2 != op(op(e1,e2),op(e2,e1))
    | spl75_130 ),
    inference(avatar_component_clause,[],[f1140]) ).

fof(f1140,plain,
    ( spl75_130
  <=> e2 = op(op(e1,e2),op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_130])]) ).

fof(f2043,plain,
    ( spl75_129
    | ~ spl75_146
    | ~ spl75_179 ),
    inference(avatar_contradiction_clause,[],[f2042]) ).

fof(f2042,plain,
    ( $false
    | spl75_129
    | ~ spl75_146
    | ~ spl75_179 ),
    inference(subsumption_resolution,[],[f2041,f558]) ).

fof(f2041,plain,
    ( e4 != op(e4,e2)
    | spl75_129
    | ~ spl75_146
    | ~ spl75_179 ),
    inference(forward_demodulation,[],[f2040,f1409]) ).

fof(f2040,plain,
    ( e4 != op(op(e0,e4),e2)
    | spl75_129
    | ~ spl75_146 ),
    inference(forward_demodulation,[],[f1138,f1212]) ).

fof(f1138,plain,
    ( e4 != op(op(e0,e4),op(e4,e0))
    | spl75_129 ),
    inference(avatar_component_clause,[],[f1136]) ).

fof(f1136,plain,
    ( spl75_129
  <=> e4 = op(op(e0,e4),op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_129])]) ).

fof(f2037,plain,
    ( ~ spl75_60
    | spl75_128
    | ~ spl75_174
    | ~ spl75_199 ),
    inference(avatar_contradiction_clause,[],[f2036]) ).

fof(f2036,plain,
    ( $false
    | ~ spl75_60
    | spl75_128
    | ~ spl75_174
    | ~ spl75_199 ),
    inference(subsumption_resolution,[],[f2035,f1380]) ).

fof(f1380,plain,
    ( e3 = op(e3,e2)
    | ~ spl75_174 ),
    inference(avatar_component_clause,[],[f1379]) ).

fof(f1379,plain,
    ( spl75_174
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_174])]) ).

fof(f2035,plain,
    ( e3 != op(e3,e2)
    | ~ spl75_60
    | spl75_128
    | ~ spl75_199 ),
    inference(forward_demodulation,[],[f2034,f845]) ).

fof(f845,plain,
    ( e3 = op(e4,e3)
    | ~ spl75_60 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f844,plain,
    ( spl75_60
  <=> e3 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_60])]) ).

fof(f2034,plain,
    ( e3 != op(op(e4,e3),e2)
    | spl75_128
    | ~ spl75_199 ),
    inference(forward_demodulation,[],[f1134,f1547]) ).

fof(f1134,plain,
    ( e3 != op(op(e4,e3),op(e3,e4))
    | spl75_128 ),
    inference(avatar_component_clause,[],[f1132]) ).

fof(f1132,plain,
    ( spl75_128
  <=> e3 = op(op(e4,e3),op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_128])]) ).

fof(f2031,plain,
    ( ~ spl75_60
    | spl75_99
    | ~ spl75_173
    | ~ spl75_199 ),
    inference(avatar_contradiction_clause,[],[f2030]) ).

fof(f2030,plain,
    ( $false
    | ~ spl75_60
    | spl75_99
    | ~ spl75_173
    | ~ spl75_199 ),
    inference(subsumption_resolution,[],[f2029,f1374]) ).

fof(f1374,plain,
    ( e4 = op(e2,e3)
    | ~ spl75_173 ),
    inference(avatar_component_clause,[],[f1373]) ).

fof(f1373,plain,
    ( spl75_173
  <=> e4 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_173])]) ).

fof(f2029,plain,
    ( e4 != op(e2,e3)
    | ~ spl75_60
    | spl75_99
    | ~ spl75_199 ),
    inference(forward_demodulation,[],[f2028,f1547]) ).

fof(f2028,plain,
    ( e4 != op(op(e3,e4),e3)
    | ~ spl75_60
    | spl75_99 ),
    inference(forward_demodulation,[],[f1018,f845]) ).

fof(f1018,plain,
    ( e4 != op(op(e3,e4),op(e4,e3))
    | spl75_99 ),
    inference(avatar_component_clause,[],[f1016]) ).

fof(f1016,plain,
    ( spl75_99
  <=> e4 = op(op(e3,e4),op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_99])]) ).

fof(f2027,plain,
    ( spl75_120
    | ~ spl75_157
    | ~ spl75_186 ),
    inference(avatar_contradiction_clause,[],[f2026]) ).

fof(f2026,plain,
    ( $false
    | spl75_120
    | ~ spl75_157
    | ~ spl75_186 ),
    inference(subsumption_resolution,[],[f2025,f570]) ).

fof(f570,plain,
    e3 = op(e1,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2025,plain,
    ( e3 != op(e1,e4)
    | spl75_120
    | ~ spl75_157
    | ~ spl75_186 ),
    inference(forward_demodulation,[],[f2024,f1278]) ).

fof(f1278,plain,
    ( e1 = op(e0,e3)
    | ~ spl75_157 ),
    inference(avatar_component_clause,[],[f1277]) ).

fof(f1277,plain,
    ( spl75_157
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_157])]) ).

fof(f2024,plain,
    ( e3 != op(op(e0,e3),e4)
    | spl75_120
    | ~ spl75_186 ),
    inference(forward_demodulation,[],[f1102,f1460]) ).

fof(f1102,plain,
    ( e3 != op(op(e0,e3),op(e3,e0))
    | spl75_120 ),
    inference(avatar_component_clause,[],[f1100]) ).

fof(f1100,plain,
    ( spl75_120
  <=> e3 = op(op(e0,e3),op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_120])]) ).

fof(f2022,plain,
    ( ~ spl75_62
    | spl75_141 ),
    inference(avatar_contradiction_clause,[],[f2021]) ).

fof(f2021,plain,
    ( $false
    | ~ spl75_62
    | spl75_141 ),
    inference(subsumption_resolution,[],[f2020,f554]) ).

fof(f554,plain,
    e1 = op(e4,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2020,plain,
    ( e1 != op(e4,e4)
    | ~ spl75_62
    | spl75_141 ),
    inference(forward_demodulation,[],[f1186,f854]) ).

fof(f854,plain,
    ( e4 = op(e1,e1)
    | ~ spl75_62 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f853,plain,
    ( spl75_62
  <=> e4 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_62])]) ).

fof(f1186,plain,
    ( e1 != op(op(e1,e1),op(e1,e1))
    | spl75_141 ),
    inference(avatar_component_clause,[],[f1184]) ).

fof(f1184,plain,
    ( spl75_141
  <=> e1 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_141])]) ).

fof(f2017,plain,
    ( ~ spl75_60
    | spl75_140
    | ~ spl75_173
    | ~ spl75_174 ),
    inference(avatar_contradiction_clause,[],[f2016]) ).

fof(f2016,plain,
    ( $false
    | ~ spl75_60
    | spl75_140
    | ~ spl75_173
    | ~ spl75_174 ),
    inference(subsumption_resolution,[],[f2015,f845]) ).

fof(f2015,plain,
    ( e3 != op(e4,e3)
    | spl75_140
    | ~ spl75_173
    | ~ spl75_174 ),
    inference(forward_demodulation,[],[f2014,f1374]) ).

fof(f2014,plain,
    ( e3 != op(op(e2,e3),e3)
    | spl75_140
    | ~ spl75_174 ),
    inference(forward_demodulation,[],[f1182,f1380]) ).

fof(f1182,plain,
    ( e3 != op(op(e2,e3),op(e3,e2))
    | spl75_140 ),
    inference(avatar_component_clause,[],[f1180]) ).

fof(f1180,plain,
    ( spl75_140
  <=> e3 = op(op(e2,e3),op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_140])]) ).

fof(f2011,plain,
    ( ~ spl75_52
    | spl75_113
    | ~ spl75_157
    | ~ spl75_186 ),
    inference(avatar_contradiction_clause,[],[f2010]) ).

fof(f2010,plain,
    ( $false
    | ~ spl75_52
    | spl75_113
    | ~ spl75_157
    | ~ spl75_186 ),
    inference(subsumption_resolution,[],[f2009,f805]) ).

fof(f2009,plain,
    ( e0 != op(e4,e1)
    | spl75_113
    | ~ spl75_157
    | ~ spl75_186 ),
    inference(forward_demodulation,[],[f2008,f1460]) ).

fof(f2008,plain,
    ( e0 != op(op(e3,e0),e1)
    | spl75_113
    | ~ spl75_157 ),
    inference(forward_demodulation,[],[f1074,f1278]) ).

fof(f1074,plain,
    ( e0 != op(op(e3,e0),op(e0,e3))
    | spl75_113 ),
    inference(avatar_component_clause,[],[f1072]) ).

fof(f1072,plain,
    ( spl75_113
  <=> e0 = op(op(e3,e0),op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_113])]) ).

fof(f2006,plain,
    ( spl75_93
    | ~ spl75_218 ),
    inference(avatar_contradiction_clause,[],[f2005]) ).

fof(f2005,plain,
    ( $false
    | spl75_93
    | ~ spl75_218 ),
    inference(subsumption_resolution,[],[f2004,f571]) ).

fof(f2004,plain,
    ( e0 != op(e1,e0)
    | spl75_93
    | ~ spl75_218 ),
    inference(forward_demodulation,[],[f994,f1751]) ).

fof(f994,plain,
    ( e0 != op(op(e2,e0),e0)
    | spl75_93 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f992,plain,
    ( spl75_93
  <=> e0 = op(op(e2,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_93])]) ).

fof(f2000,plain,
    ( spl75_92
    | ~ spl75_215 ),
    inference(avatar_contradiction_clause,[],[f1999]) ).

fof(f1999,plain,
    ( $false
    | spl75_92
    | ~ spl75_215 ),
    inference(subsumption_resolution,[],[f1998,f566]) ).

fof(f1998,plain,
    ( e3 != op(e0,e0)
    | spl75_92
    | ~ spl75_215 ),
    inference(forward_demodulation,[],[f990,f1708]) ).

fof(f990,plain,
    ( e3 != op(op(e3,e3),op(e3,e3))
    | spl75_92 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f988,plain,
    ( spl75_92
  <=> e3 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_92])]) ).

fof(f1997,plain,
    ( ~ spl75_7
    | spl75_90
    | ~ spl75_146
    | ~ spl75_179 ),
    inference(avatar_contradiction_clause,[],[f1996]) ).

fof(f1996,plain,
    ( $false
    | ~ spl75_7
    | spl75_90
    | ~ spl75_146
    | ~ spl75_179 ),
    inference(subsumption_resolution,[],[f1995,f601]) ).

fof(f1995,plain,
    ( e0 != op(e2,e4)
    | spl75_90
    | ~ spl75_146
    | ~ spl75_179 ),
    inference(forward_demodulation,[],[f1994,f1212]) ).

fof(f1994,plain,
    ( e0 != op(op(e4,e0),e4)
    | spl75_90
    | ~ spl75_179 ),
    inference(forward_demodulation,[],[f982,f1409]) ).

fof(f982,plain,
    ( e0 != op(op(e4,e0),op(e0,e4))
    | spl75_90 ),
    inference(avatar_component_clause,[],[f980]) ).

fof(f980,plain,
    ( spl75_90
  <=> e0 = op(op(e4,e0),op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_90])]) ).

fof(f1991,plain,
    ( spl75_89
    | ~ spl75_173
    | ~ spl75_174
    | ~ spl75_199 ),
    inference(avatar_contradiction_clause,[],[f1990]) ).

fof(f1990,plain,
    ( $false
    | spl75_89
    | ~ spl75_173
    | ~ spl75_174
    | ~ spl75_199 ),
    inference(subsumption_resolution,[],[f1989,f1547]) ).

fof(f1989,plain,
    ( e2 != op(e3,e4)
    | spl75_89
    | ~ spl75_173
    | ~ spl75_174 ),
    inference(forward_demodulation,[],[f1988,f1380]) ).

fof(f1988,plain,
    ( e2 != op(op(e3,e2),e4)
    | spl75_89
    | ~ spl75_173 ),
    inference(forward_demodulation,[],[f978,f1374]) ).

fof(f978,plain,
    ( e2 != op(op(e3,e2),op(e2,e3))
    | spl75_89 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f976,plain,
    ( spl75_89
  <=> e2 = op(op(e3,e2),op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_89])]) ).

fof(f1985,plain,
    ( spl75_83
    | ~ spl75_135
    | ~ spl75_168
    | ~ spl75_193 ),
    inference(avatar_contradiction_clause,[],[f1984]) ).

fof(f1984,plain,
    ( $false
    | spl75_83
    | ~ spl75_135
    | ~ spl75_168
    | ~ spl75_193 ),
    inference(subsumption_resolution,[],[f1983,f1509]) ).

fof(f1983,plain,
    ( e1 != op(e3,e1)
    | spl75_83
    | ~ spl75_135
    | ~ spl75_168 ),
    inference(forward_demodulation,[],[f1982,f1161]) ).

fof(f1982,plain,
    ( e1 != op(op(e2,e1),e1)
    | spl75_83
    | ~ spl75_168 ),
    inference(forward_demodulation,[],[f954,f1339]) ).

fof(f954,plain,
    ( e1 != op(op(e2,e1),op(e1,e2))
    | spl75_83 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f952,plain,
    ( spl75_83
  <=> e1 = op(op(e2,e1),op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_83])]) ).

fof(f1980,plain,
    ( spl75_79
    | ~ spl75_194
    | ~ spl75_218 ),
    inference(avatar_contradiction_clause,[],[f1979]) ).

fof(f1979,plain,
    ( $false
    | spl75_79
    | ~ spl75_194
    | ~ spl75_218 ),
    inference(subsumption_resolution,[],[f1978,f1514]) ).

fof(f1978,plain,
    ( e2 != op(e0,e1)
    | spl75_79
    | ~ spl75_218 ),
    inference(forward_demodulation,[],[f938,f1751]) ).

fof(f938,plain,
    ( e2 != op(e0,op(e2,e0))
    | spl75_79 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f936,plain,
    ( spl75_79
  <=> e2 = op(e0,op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_79])]) ).

fof(f1976,plain,
    ( ~ spl75_157
    | ~ spl75_52
    | spl75_81 ),
    inference(avatar_split_clause,[],[f1975,f944,f804,f1277]) ).

fof(f944,plain,
    ( spl75_81
  <=> e1 = op(op(e4,e1),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_81])]) ).

fof(f1975,plain,
    ( e1 != op(e0,e3)
    | ~ spl75_52
    | spl75_81 ),
    inference(forward_demodulation,[],[f946,f805]) ).

fof(f946,plain,
    ( e1 != op(op(e4,e1),e3)
    | spl75_81 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f1974,plain,
    ~ spl75_167,
    inference(avatar_split_clause,[],[f539,f1330]) ).

fof(f1330,plain,
    ( spl75_167
  <=> e1 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_167])]) ).

fof(f539,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( e0 != e3
    & e0 != e1
    & e2 != e3
    & e2 != e4
    & e1 != e3
    & e0 != e2
    & e3 != e4
    & e1 != e4
    & e1 != e2
    & e0 != e4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f1954,plain,
    spl75_179,
    inference(avatar_split_clause,[],[f561,f1408]) ).

fof(f561,plain,
    e4 = op(e0,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1949,plain,
    ( ~ spl75_10
    | ~ spl75_173 ),
    inference(avatar_split_clause,[],[f440,f1373,f613]) ).

fof(f613,plain,
    ( spl75_10
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_10])]) ).

fof(f440,plain,
    ( e4 != op(e2,e3)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ( ( e1 != op(e2,e3)
      & e4 != op(e2,e3)
      & e2 != op(e2,e3)
      & e0 != op(e2,e3)
      & e3 != op(e2,e3) )
    | ~ sP18 ),
    inference(nnf_transformation,[],[f24]) ).

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

fof(f1947,plain,
    ( ~ spl75_215
    | ~ spl75_102 ),
    inference(avatar_split_clause,[],[f343,f1028,f1707]) ).

fof(f1028,plain,
    ( spl75_102
  <=> sP37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_102])]) ).

fof(f343,plain,
    ( ~ sP37
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ( ( e2 != op(e3,e3)
      & e4 != op(e3,e3)
      & e3 != op(e3,e3)
      & e0 != op(e3,e3)
      & e1 != op(e3,e3) )
    | ~ sP37 ),
    inference(nnf_transformation,[],[f43]) ).

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

fof(f1946,plain,
    ~ spl75_164,
    inference(avatar_split_clause,[],[f542,f1318]) ).

fof(f1318,plain,
    ( spl75_164
  <=> e1 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_164])]) ).

fof(f542,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f1]) ).

fof(f1941,plain,
    ( ~ spl75_193
    | ~ spl75_103 ),
    inference(avatar_split_clause,[],[f158,f1032,f1508]) ).

fof(f1032,plain,
    ( spl75_103
  <=> sP74 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_103])]) ).

fof(f158,plain,
    ( ~ sP74
    | e1 != op(e3,e1) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ( ( e0 != op(e3,e1)
      & e3 != op(e3,e1)
      & e2 != op(e3,e1)
      & e1 != op(e3,e1)
      & e4 != op(e3,e1) )
    | ~ sP74 ),
    inference(nnf_transformation,[],[f80]) ).

fof(f80,plain,
    ( ( e0 != op(e3,e1)
      & e3 != op(e3,e1)
      & e2 != op(e3,e1)
      & e1 != op(e3,e1)
      & e4 != op(e3,e1) )
    | ~ sP74 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).

fof(f1940,plain,
    ~ spl75_75,
    inference(avatar_split_clause,[],[f1939,f914]) ).

fof(f914,plain,
    ( spl75_75
  <=> sP68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_75])]) ).

fof(f1939,plain,
    ~ sP68,
    inference(subsumption_resolution,[],[f187,f571]) ).

fof(f187,plain,
    ( e0 != op(e1,e0)
    | ~ sP68 ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ( ( e0 != op(e0,e0)
      & e0 != op(e2,e0)
      & e0 != op(e4,e0)
      & e0 != op(e3,e0)
      & e0 != op(e1,e0) )
    | ~ sP68 ),
    inference(nnf_transformation,[],[f74]) ).

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

fof(f1934,plain,
    ( ~ spl75_37
    | ~ spl75_199 ),
    inference(avatar_split_clause,[],[f517,f1546,f737]) ).

fof(f737,plain,
    ( spl75_37
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_37])]) ).

fof(f517,plain,
    ( e2 != op(e3,e4)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ( ( e2 != op(e4,e4)
      & e2 != op(e2,e4)
      & e2 != op(e1,e4)
      & e2 != op(e0,e4)
      & e2 != op(e3,e4) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f8]) ).

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

fof(f1926,plain,
    ~ spl75_123,
    inference(avatar_split_clause,[],[f1925,f1112]) ).

fof(f1112,plain,
    ( spl75_123
  <=> sP24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_123])]) ).

fof(f1925,plain,
    ~ sP24,
    inference(subsumption_resolution,[],[f407,f566]) ).

fof(f407,plain,
    ( e3 != op(e0,e0)
    | ~ sP24 ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ( ( e1 != op(e0,e0)
      & e2 != op(e0,e0)
      & e0 != op(e0,e0)
      & e4 != op(e0,e0)
      & e3 != op(e0,e0) )
    | ~ sP24 ),
    inference(nnf_transformation,[],[f30]) ).

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

fof(f1917,plain,
    ( ~ spl75_50
    | ~ spl75_199 ),
    inference(avatar_split_clause,[],[f240,f1546,f795]) ).

fof(f795,plain,
    ( spl75_50
  <=> sP58 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_50])]) ).

fof(f240,plain,
    ( e2 != op(e3,e4)
    | ~ sP58 ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ( ( e2 != op(e3,e2)
      & e2 != op(e3,e4)
      & e2 != op(e3,e1)
      & e2 != op(e3,e0)
      & e2 != op(e3,e3) )
    | ~ sP58 ),
    inference(nnf_transformation,[],[f64]) ).

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

fof(f1916,plain,
    ~ spl75_119,
    inference(avatar_split_clause,[],[f1915,f1096]) ).

fof(f1096,plain,
    ( spl75_119
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_119])]) ).

fof(f1915,plain,
    ~ sP7,
    inference(subsumption_resolution,[],[f495,f570]) ).

fof(f495,plain,
    ( e3 != op(e1,e4)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ( ( e3 != op(e3,e4)
      & e3 != op(e1,e4)
      & e3 != op(e0,e4)
      & e3 != op(e2,e4)
      & e3 != op(e4,e4) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f13]) ).

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

fof(f1911,plain,
    spl75_215,
    inference(avatar_split_clause,[],[f559,f1707]) ).

fof(f559,plain,
    e0 = op(e3,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1909,plain,
    ~ spl75_214,
    inference(avatar_split_clause,[],[f541,f1698]) ).

fof(f541,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f1]) ).

fof(f1908,plain,
    ( ~ spl75_218
    | ~ spl75_138 ),
    inference(avatar_split_clause,[],[f330,f1172,f1750]) ).

fof(f1172,plain,
    ( spl75_138
  <=> sP40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_138])]) ).

fof(f330,plain,
    ( ~ sP40
    | e1 != op(e2,e0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ( ( e1 != op(e2,e2)
      & e1 != op(e2,e0)
      & e1 != op(e2,e1)
      & e1 != op(e2,e4)
      & e1 != op(e2,e3) )
    | ~ sP40 ),
    inference(nnf_transformation,[],[f46]) ).

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

fof(f1907,plain,
    ~ spl75_82,
    inference(avatar_split_clause,[],[f1906,f948]) ).

fof(f948,plain,
    ( spl75_82
  <=> sP26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_82])]) ).

fof(f1906,plain,
    ~ sP26,
    inference(subsumption_resolution,[],[f401,f555]) ).

fof(f401,plain,
    ( ~ sP26
    | e0 != op(e0,e2) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ( ( e0 != op(e0,e2)
      & e4 != op(e0,e2)
      & e1 != op(e0,e2)
      & e3 != op(e0,e2)
      & e2 != op(e0,e2) )
    | ~ sP26 ),
    inference(nnf_transformation,[],[f32]) ).

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

fof(f1894,plain,
    ( ~ spl75_157
    | ~ spl75_58 ),
    inference(avatar_split_clause,[],[f374,f835,f1277]) ).

fof(f835,plain,
    ( spl75_58
  <=> sP31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_58])]) ).

fof(f374,plain,
    ( ~ sP31
    | e1 != op(e0,e3) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ( ( e1 != op(e0,e2)
      & e1 != op(e0,e0)
      & e1 != op(e0,e3)
      & e1 != op(e0,e4)
      & e1 != op(e0,e1) )
    | ~ sP31 ),
    inference(nnf_transformation,[],[f37]) ).

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

fof(f1890,plain,
    ( ~ spl75_53
    | ~ spl75_77 ),
    inference(avatar_split_clause,[],[f270,f928,f809]) ).

fof(f928,plain,
    ( spl75_77
  <=> sP52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_77])]) ).

fof(f270,plain,
    ( ~ sP52
    | e2 != op(e1,e3) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ( ( e1 != op(e1,e3)
      & e2 != op(e1,e3)
      & e3 != op(e1,e3)
      & e0 != op(e1,e3)
      & e4 != op(e1,e3) )
    | ~ sP52 ),
    inference(nnf_transformation,[],[f58]) ).

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

fof(f1879,plain,
    ( ~ spl75_13
    | ~ spl75_155 ),
    inference(avatar_split_clause,[],[f488,f1263,f627]) ).

fof(f627,plain,
    ( spl75_13
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_13])]) ).

fof(f488,plain,
    ( e2 != op(e2,e2)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ( ( e1 != op(e2,e2)
      & e3 != op(e2,e2)
      & e0 != op(e2,e2)
      & e2 != op(e2,e2)
      & e4 != op(e2,e2) )
    | ~ sP8 ),
    inference(nnf_transformation,[],[f14]) ).

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

fof(f1872,plain,
    ~ spl75_101,
    inference(avatar_split_clause,[],[f1871,f1024]) ).

fof(f1024,plain,
    ( spl75_101
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_101])]) ).

fof(f1871,plain,
    ~ sP3,
    inference(subsumption_resolution,[],[f515,f570]) ).

fof(f515,plain,
    ( e3 != op(e1,e4)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ( ( e2 != op(e1,e4)
      & e3 != op(e1,e4)
      & e4 != op(e1,e4)
      & e0 != op(e1,e4)
      & e1 != op(e1,e4) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f9]) ).

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

fof(f1870,plain,
    ( ~ spl75_126
    | ~ spl75_60 ),
    inference(avatar_split_clause,[],[f224,f844,f1124]) ).

fof(f1124,plain,
    ( spl75_126
  <=> sP61 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_126])]) ).

fof(f224,plain,
    ( e3 != op(e4,e3)
    | ~ sP61 ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ( ( e0 != op(e4,e3)
      & e1 != op(e4,e3)
      & e3 != op(e4,e3)
      & e2 != op(e4,e3)
      & e4 != op(e4,e3) )
    | ~ sP61 ),
    inference(nnf_transformation,[],[f67]) ).

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

fof(f1869,plain,
    ( ~ spl75_179
    | ~ spl75_95 ),
    inference(avatar_split_clause,[],[f341,f1000,f1408]) ).

fof(f1000,plain,
    ( spl75_95
  <=> sP38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_95])]) ).

fof(f341,plain,
    ( ~ sP38
    | e4 != op(e0,e4) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ( ( e4 != op(e0,e4)
      & e4 != op(e1,e4)
      & e4 != op(e2,e4)
      & e4 != op(e4,e4)
      & e4 != op(e3,e4) )
    | ~ sP38 ),
    inference(nnf_transformation,[],[f44]) ).

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

fof(f1863,plain,
    ~ spl75_24,
    inference(avatar_split_clause,[],[f1862,f677]) ).

fof(f677,plain,
    ( spl75_24
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_24])]) ).

fof(f1862,plain,
    ~ sP16,
    inference(subsumption_resolution,[],[f447,f566]) ).

fof(f447,plain,
    ( e3 != op(e0,e0)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ( ( e3 != op(e0,e3)
      & e3 != op(e0,e4)
      & e3 != op(e0,e2)
      & e3 != op(e0,e1)
      & e3 != op(e0,e0) )
    | ~ sP16 ),
    inference(nnf_transformation,[],[f22]) ).

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

fof(f1857,plain,
    spl75_199,
    inference(avatar_split_clause,[],[f567,f1546]) ).

fof(f567,plain,
    e2 = op(e3,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1854,plain,
    spl75_173,
    inference(avatar_split_clause,[],[f557,f1373]) ).

fof(f557,plain,
    e4 = op(e2,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1852,plain,
    spl75_155,
    inference(avatar_split_clause,[],[f549,f1263]) ).

fof(f549,plain,
    e2 = op(e2,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1851,plain,
    spl75_174,
    inference(avatar_split_clause,[],[f552,f1379]) ).

fof(f552,plain,
    e3 = op(e3,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1841,plain,
    ~ spl75_100,
    inference(avatar_split_clause,[],[f1840,f1020]) ).

fof(f1020,plain,
    ( spl75_100
  <=> sP51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_100])]) ).

fof(f1840,plain,
    ~ sP51,
    inference(subsumption_resolution,[],[f276,f554]) ).

fof(f276,plain,
    ( ~ sP51
    | e1 != op(e4,e4) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ( ( e1 != op(e4,e4)
      & e2 != op(e4,e4)
      & e4 != op(e4,e4)
      & e0 != op(e4,e4)
      & e3 != op(e4,e4) )
    | ~ sP51 ),
    inference(nnf_transformation,[],[f57]) ).

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

fof(f1838,plain,
    ( ~ spl75_174
    | ~ spl75_12 ),
    inference(avatar_split_clause,[],[f236,f622,f1379]) ).

fof(f622,plain,
    ( spl75_12
  <=> sP59 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_12])]) ).

fof(f236,plain,
    ( ~ sP59
    | e3 != op(e3,e2) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ( ( e3 != op(e3,e2)
      & e1 != op(e3,e2)
      & e4 != op(e3,e2)
      & e2 != op(e3,e2)
      & e0 != op(e3,e2) )
    | ~ sP59 ),
    inference(nnf_transformation,[],[f65]) ).

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

fof(f1831,plain,
    ( ~ spl75_44
    | ~ spl75_215 ),
    inference(avatar_split_clause,[],[f421,f1707,f768]) ).

fof(f768,plain,
    ( spl75_44
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_44])]) ).

fof(f421,plain,
    ( e0 != op(e3,e3)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ( ( e0 != op(e3,e3)
      & e0 != op(e2,e3)
      & e0 != op(e0,e3)
      & e0 != op(e4,e3)
      & e0 != op(e1,e3) )
    | ~ sP22 ),
    inference(nnf_transformation,[],[f28]) ).

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

fof(f1830,plain,
    ( ~ spl75_62
    | ~ spl75_16 ),
    inference(avatar_split_clause,[],[f302,f640,f853]) ).

fof(f640,plain,
    ( spl75_16
  <=> sP45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_16])]) ).

fof(f302,plain,
    ( ~ sP45
    | e4 != op(e1,e1) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ( ( e4 != op(e1,e3)
      & e4 != op(e1,e4)
      & e4 != op(e1,e2)
      & e4 != op(e1,e0)
      & e4 != op(e1,e1) )
    | ~ sP45 ),
    inference(nnf_transformation,[],[f51]) ).

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

fof(f1825,plain,
    spl75_157,
    inference(avatar_split_clause,[],[f553,f1277]) ).

fof(f553,plain,
    e1 = op(e0,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1820,plain,
    ( ~ spl75_22
    | ~ spl75_218 ),
    inference(avatar_split_clause,[],[f360,f1750,f668]) ).

fof(f668,plain,
    ( spl75_22
  <=> sP34 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_22])]) ).

fof(f360,plain,
    ( e1 != op(e2,e0)
    | ~ sP34 ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ( ( e3 != op(e2,e0)
      & e1 != op(e2,e0)
      & e2 != op(e2,e0)
      & e4 != op(e2,e0)
      & e0 != op(e2,e0) )
    | ~ sP34 ),
    inference(nnf_transformation,[],[f40]) ).

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

fof(f1817,plain,
    spl75_218,
    inference(avatar_split_clause,[],[f560,f1750]) ).

fof(f560,plain,
    e1 = op(e2,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1813,plain,
    ~ spl75_142,
    inference(avatar_split_clause,[],[f1812,f1188]) ).

fof(f1188,plain,
    ( spl75_142
  <=> sP41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_142])]) ).

fof(f1812,plain,
    ~ sP41,
    inference(subsumption_resolution,[],[f324,f555]) ).

fof(f324,plain,
    ( e0 != op(e0,e2)
    | ~ sP41 ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ( ( e0 != op(e2,e2)
      & e0 != op(e4,e2)
      & e0 != op(e0,e2)
      & e0 != op(e1,e2)
      & e0 != op(e3,e2) )
    | ~ sP41 ),
    inference(nnf_transformation,[],[f47]) ).

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

fof(f1798,plain,
    ~ spl75_143,
    inference(avatar_split_clause,[],[f544,f1196]) ).

fof(f544,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f1]) ).

fof(f1795,plain,
    ( ~ spl75_121
    | ~ spl75_157 ),
    inference(avatar_split_clause,[],[f354,f1277,f1104]) ).

fof(f1104,plain,
    ( spl75_121
  <=> sP35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_121])]) ).

fof(f354,plain,
    ( e1 != op(e0,e3)
    | ~ sP35 ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ( ( e1 != op(e1,e3)
      & e1 != op(e4,e3)
      & e1 != op(e0,e3)
      & e1 != op(e3,e3)
      & e1 != op(e2,e3) )
    | ~ sP35 ),
    inference(nnf_transformation,[],[f41]) ).

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

fof(f1788,plain,
    ( ~ spl75_194
    | ~ spl75_1 ),
    inference(avatar_split_clause,[],[f283,f573,f1513]) ).

fof(f573,plain,
    ( spl75_1
  <=> sP49 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_1])]) ).

fof(f283,plain,
    ( ~ sP49
    | e2 != op(e0,e1) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ( ( e2 != op(e0,e4)
      & e2 != op(e0,e0)
      & e2 != op(e0,e3)
      & e2 != op(e0,e1)
      & e2 != op(e0,e2) )
    | ~ sP49 ),
    inference(nnf_transformation,[],[f55]) ).

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

fof(f1786,plain,
    ( ~ spl75_52
    | ~ spl75_35 ),
    inference(avatar_split_clause,[],[f211,f728,f804]) ).

fof(f728,plain,
    ( spl75_35
  <=> sP64 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_35])]) ).

fof(f211,plain,
    ( ~ sP64
    | e0 != op(e4,e1) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ( ( e0 != op(e4,e1)
      & e0 != op(e4,e2)
      & e0 != op(e4,e3)
      & e0 != op(e4,e0)
      & e0 != op(e4,e4) )
    | ~ sP64 ),
    inference(nnf_transformation,[],[f70]) ).

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

fof(f1780,plain,
    ~ spl75_76,
    inference(avatar_split_clause,[],[f1779,f924]) ).

fof(f924,plain,
    ( spl75_76
  <=> sP69 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_76])]) ).

fof(f1779,plain,
    ~ sP69,
    inference(subsumption_resolution,[],[f182,f558]) ).

fof(f182,plain,
    ( ~ sP69
    | e4 != op(e4,e2) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ( ( e4 != op(e3,e2)
      & e4 != op(e0,e2)
      & e4 != op(e1,e2)
      & e4 != op(e2,e2)
      & e4 != op(e4,e2) )
    | ~ sP69 ),
    inference(nnf_transformation,[],[f75]) ).

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

fof(f1772,plain,
    spl75_7,
    inference(avatar_split_clause,[],[f547,f600]) ).

fof(f547,plain,
    e0 = op(e2,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1767,plain,
    spl75_52,
    inference(avatar_split_clause,[],[f556,f804]) ).

fof(f556,plain,
    e0 = op(e4,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1766,plain,
    ~ spl75_87,
    inference(avatar_split_clause,[],[f1765,f968]) ).

fof(f968,plain,
    ( spl75_87
  <=> sP60 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_87])]) ).

fof(f1765,plain,
    ~ sP60,
    inference(subsumption_resolution,[],[f229,f571]) ).

fof(f229,plain,
    ( e0 != op(e1,e0)
    | ~ sP60 ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ( ( e4 != op(e1,e0)
      & e2 != op(e1,e0)
      & e0 != op(e1,e0)
      & e1 != op(e1,e0)
      & e3 != op(e1,e0) )
    | ~ sP60 ),
    inference(nnf_transformation,[],[f66]) ).

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

fof(f1761,plain,
    spl75_135,
    inference(avatar_split_clause,[],[f551,f1160]) ).

fof(f551,plain,
    e3 = op(e2,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1753,plain,
    ( ~ spl75_91
    | ~ spl75_218 ),
    inference(avatar_split_clause,[],[f370,f1750,f984]) ).

fof(f984,plain,
    ( spl75_91
  <=> sP32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_91])]) ).

fof(f370,plain,
    ( e1 != op(e2,e0)
    | ~ sP32 ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ( ( e1 != op(e0,e0)
      & e1 != op(e2,e0)
      & e1 != op(e1,e0)
      & e1 != op(e4,e0)
      & e1 != op(e3,e0) )
    | ~ sP32 ),
    inference(nnf_transformation,[],[f38]) ).

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

fof(f1745,plain,
    spl75_193,
    inference(avatar_split_clause,[],[f569,f1508]) ).

fof(f569,plain,
    e1 = op(e3,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1738,plain,
    ( ~ spl75_194
    | ~ spl75_48 ),
    inference(avatar_split_clause,[],[f280,f786,f1513]) ).

fof(f786,plain,
    ( spl75_48
  <=> sP50 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_48])]) ).

fof(f280,plain,
    ( ~ sP50
    | e2 != op(e0,e1) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ( ( e2 != op(e4,e1)
      & e2 != op(e0,e1)
      & e2 != op(e2,e1)
      & e2 != op(e1,e1)
      & e2 != op(e3,e1) )
    | ~ sP50 ),
    inference(nnf_transformation,[],[f56]) ).

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

fof(f1737,plain,
    ~ spl75_104,
    inference(avatar_split_clause,[],[f1736,f1036]) ).

fof(f1036,plain,
    ( spl75_104
  <=> sP66 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_104])]) ).

fof(f1736,plain,
    ~ sP66,
    inference(subsumption_resolution,[],[f201,f571]) ).

fof(f201,plain,
    ( ~ sP66
    | e0 != op(e1,e0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ( ( e0 != op(e1,e0)
      & e0 != op(e1,e2)
      & e0 != op(e1,e4)
      & e0 != op(e1,e3)
      & e0 != op(e1,e1) )
    | ~ sP66 ),
    inference(nnf_transformation,[],[f72]) ).

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

fof(f1735,plain,
    spl75_186,
    inference(avatar_split_clause,[],[f563,f1459]) ).

fof(f563,plain,
    e4 = op(e3,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1710,plain,
    ( ~ spl75_109
    | ~ spl75_215 ),
    inference(avatar_split_clause,[],[f498,f1707,f1056]) ).

fof(f1056,plain,
    ( spl75_109
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_109])]) ).

fof(f498,plain,
    ( e0 != op(e3,e3)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ( ( e0 != op(e3,e0)
      & e0 != op(e3,e4)
      & e0 != op(e3,e1)
      & e0 != op(e3,e3)
      & e0 != op(e3,e2) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f12]) ).

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

fof(f1693,plain,
    ~ spl75_134,
    inference(avatar_split_clause,[],[f1692,f1156]) ).

fof(f1156,plain,
    ( spl75_134
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_134])]) ).

fof(f1692,plain,
    ~ sP15,
    inference(subsumption_resolution,[],[f452,f554]) ).

fof(f452,plain,
    ( e1 != op(e4,e4)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ( ( e1 != op(e4,e3)
      & e1 != op(e4,e2)
      & e1 != op(e4,e0)
      & e1 != op(e4,e1)
      & e1 != op(e4,e4) )
    | ~ sP15 ),
    inference(nnf_transformation,[],[f21]) ).

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

fof(f1690,plain,
    ( ~ spl75_146
    | ~ spl75_136 ),
    inference(avatar_split_clause,[],[f313,f1164,f1211]) ).

fof(f1164,plain,
    ( spl75_136
  <=> sP43 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_136])]) ).

fof(f313,plain,
    ( ~ sP43
    | e2 != op(e4,e0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ( ( e2 != op(e0,e0)
      & e2 != op(e3,e0)
      & e2 != op(e1,e0)
      & e2 != op(e4,e0)
      & e2 != op(e2,e0) )
    | ~ sP43 ),
    inference(nnf_transformation,[],[f49]) ).

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

fof(f1689,plain,
    ~ spl75_25,
    inference(avatar_split_clause,[],[f1688,f682]) ).

fof(f682,plain,
    ( spl75_25
  <=> sP53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_25])]) ).

fof(f1688,plain,
    ~ sP53,
    inference(subsumption_resolution,[],[f264,f566]) ).

fof(f264,plain,
    ( e3 != op(e0,e0)
    | ~ sP53 ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ( ( e3 != op(e1,e0)
      & e3 != op(e3,e0)
      & e3 != op(e0,e0)
      & e3 != op(e2,e0)
      & e3 != op(e4,e0) )
    | ~ sP53 ),
    inference(nnf_transformation,[],[f59]) ).

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

fof(f1669,plain,
    ( ~ spl75_112
    | ~ spl75_168 ),
    inference(avatar_split_clause,[],[f365,f1338,f1068]) ).

fof(f1068,plain,
    ( spl75_112
  <=> sP33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_112])]) ).

fof(f365,plain,
    ( e1 != op(e1,e2)
    | ~ sP33 ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ( ( e1 != op(e4,e2)
      & e1 != op(e1,e2)
      & e1 != op(e2,e2)
      & e1 != op(e3,e2)
      & e1 != op(e0,e2) )
    | ~ sP33 ),
    inference(nnf_transformation,[],[f39]) ).

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

fof(f1662,plain,
    ~ spl75_4,
    inference(avatar_split_clause,[],[f1661,f586]) ).

fof(f586,plain,
    ( spl75_4
  <=> sP56 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_4])]) ).

fof(f1661,plain,
    ~ sP56,
    inference(subsumption_resolution,[],[f250,f558]) ).

fof(f250,plain,
    ( ~ sP56
    | e4 != op(e4,e2) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ( ( e4 != op(e4,e3)
      & e4 != op(e4,e2)
      & e4 != op(e4,e1)
      & e4 != op(e4,e0)
      & e4 != op(e4,e4) )
    | ~ sP56 ),
    inference(nnf_transformation,[],[f62]) ).

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

fof(f1643,plain,
    ( ~ spl75_186
    | ~ spl75_65 ),
    inference(avatar_split_clause,[],[f529,f867,f1459]) ).

fof(f867,plain,
    ( spl75_65
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_65])]) ).

fof(f529,plain,
    ( ~ sP0
    | e4 != op(e3,e0) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f156,plain,
    ( ( e2 != op(e3,e0)
      & e3 != op(e3,e0)
      & e4 != op(e3,e0)
      & e1 != op(e3,e0)
      & e0 != op(e3,e0) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f6]) ).

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

fof(f1634,plain,
    ( ~ spl75_193
    | ~ spl75_107 ),
    inference(avatar_split_clause,[],[f384,f1048,f1508]) ).

fof(f1048,plain,
    ( spl75_107
  <=> sP29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_107])]) ).

fof(f384,plain,
    ( ~ sP29
    | e1 != op(e3,e1) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ( ( e1 != op(e3,e0)
      & e1 != op(e3,e4)
      & e1 != op(e3,e1)
      & e1 != op(e3,e2)
      & e1 != op(e3,e3) )
    | ~ sP29 ),
    inference(nnf_transformation,[],[f35]) ).

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

fof(f1625,plain,
    ( ~ spl75_80
    | ~ spl75_179 ),
    inference(avatar_split_clause,[],[f503,f1408,f940]) ).

fof(f940,plain,
    ( spl75_80
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_80])]) ).

fof(f503,plain,
    ( e4 != op(e0,e4)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ( ( e0 != op(e0,e4)
      & e1 != op(e0,e4)
      & e3 != op(e0,e4)
      & e4 != op(e0,e4)
      & e2 != op(e0,e4) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f11]) ).

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

fof(f1612,plain,
    spl75_62,
    inference(avatar_split_clause,[],[f564,f853]) ).

fof(f564,plain,
    e4 = op(e1,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1611,plain,
    ( ~ spl75_60
    | ~ spl75_32 ),
    inference(avatar_split_clause,[],[f390,f714,f844]) ).

fof(f714,plain,
    ( spl75_32
  <=> sP28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_32])]) ).

fof(f390,plain,
    ( ~ sP28
    | e3 != op(e4,e3) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ( ( e3 != op(e3,e3)
      & e3 != op(e4,e3)
      & e3 != op(e0,e3)
      & e3 != op(e2,e3)
      & e3 != op(e1,e3) )
    | ~ sP28 ),
    inference(nnf_transformation,[],[f34]) ).

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

fof(f1610,plain,
    ( ~ spl75_174
    | ~ spl75_118 ),
    inference(avatar_split_clause,[],[f403,f1092,f1379]) ).

fof(f1092,plain,
    ( spl75_118
  <=> sP25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_118])]) ).

fof(f403,plain,
    ( ~ sP25
    | e3 != op(e3,e2) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ( ( e3 != op(e4,e2)
      & e3 != op(e0,e2)
      & e3 != op(e1,e2)
      & e3 != op(e3,e2)
      & e3 != op(e2,e2) )
    | ~ sP25 ),
    inference(nnf_transformation,[],[f31]) ).

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

fof(f1582,plain,
    ( ~ spl75_117
    | ~ spl75_155 ),
    inference(avatar_split_clause,[],[f192,f1263,f1088]) ).

fof(f1088,plain,
    ( spl75_117
  <=> sP67 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_117])]) ).

fof(f192,plain,
    ( e2 != op(e2,e2)
    | ~ sP67 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ( ( e2 != op(e4,e2)
      & e2 != op(e3,e2)
      & e2 != op(e0,e2)
      & e2 != op(e1,e2)
      & e2 != op(e2,e2) )
    | ~ sP67 ),
    inference(nnf_transformation,[],[f73]) ).

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

fof(f1580,plain,
    ( ~ spl75_94
    | ~ spl75_52 ),
    inference(avatar_split_clause,[],[f243,f804,f996]) ).

fof(f996,plain,
    ( spl75_94
  <=> sP57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_94])]) ).

fof(f243,plain,
    ( e0 != op(e4,e1)
    | ~ sP57 ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ( ( e0 != op(e1,e1)
      & e0 != op(e0,e1)
      & e0 != op(e3,e1)
      & e0 != op(e4,e1)
      & e0 != op(e2,e1) )
    | ~ sP57 ),
    inference(nnf_transformation,[],[f63]) ).

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

fof(f1558,plain,
    ( ~ spl75_137
    | ~ spl75_168 ),
    inference(avatar_split_clause,[],[f216,f1338,f1168]) ).

fof(f1168,plain,
    ( spl75_137
  <=> sP63 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_137])]) ).

fof(f216,plain,
    ( e1 != op(e1,e2)
    | ~ sP63 ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ( ( e1 != op(e1,e2)
      & e1 != op(e1,e3)
      & e1 != op(e1,e1)
      & e1 != op(e1,e0)
      & e1 != op(e1,e4) )
    | ~ sP63 ),
    inference(nnf_transformation,[],[f69]) ).

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

fof(f1552,plain,
    ( ~ spl75_62
    | ~ spl75_116 ),
    inference(avatar_split_clause,[],[f460,f1084,f853]) ).

fof(f1084,plain,
    ( spl75_116
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_116])]) ).

fof(f460,plain,
    ( ~ sP14
    | e4 != op(e1,e1) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ( ( e4 != op(e0,e1)
      & e4 != op(e1,e1)
      & e4 != op(e2,e1)
      & e4 != op(e3,e1)
      & e4 != op(e4,e1) )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f20]) ).

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

fof(f1551,plain,
    spl75_60,
    inference(avatar_split_clause,[],[f562,f844]) ).

fof(f562,plain,
    e3 = op(e4,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1549,plain,
    ( ~ spl75_199
    | ~ spl75_106 ),
    inference(avatar_split_clause,[],[f299,f1044,f1546]) ).

fof(f1044,plain,
    ( spl75_106
  <=> sP46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_106])]) ).

fof(f299,plain,
    ( ~ sP46
    | e2 != op(e3,e4) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ( ( e3 != op(e3,e4)
      & e4 != op(e3,e4)
      & e2 != op(e3,e4)
      & e0 != op(e3,e4)
      & e1 != op(e3,e4) )
    | ~ sP46 ),
    inference(nnf_transformation,[],[f52]) ).

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

fof(f1544,plain,
    ( ~ spl75_173
    | ~ spl75_124 ),
    inference(avatar_split_clause,[],[f473,f1116,f1373]) ).

fof(f1116,plain,
    ( spl75_124
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_124])]) ).

fof(f473,plain,
    ( ~ sP11
    | e4 != op(e2,e3) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ( ( e4 != op(e4,e3)
      & e4 != op(e1,e3)
      & e4 != op(e3,e3)
      & e4 != op(e2,e3)
      & e4 != op(e0,e3) )
    | ~ sP11 ),
    inference(nnf_transformation,[],[f17]) ).

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

fof(f1540,plain,
    spl75_194,
    inference(avatar_split_clause,[],[f548,f1513]) ).

fof(f548,plain,
    e2 = op(e0,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1523,plain,
    spl75_146,
    inference(avatar_split_clause,[],[f568,f1211]) ).

fof(f568,plain,
    e2 = op(e4,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1522,plain,
    ( ~ spl75_186
    | ~ spl75_125 ),
    inference(avatar_split_clause,[],[f171,f1120,f1459]) ).

fof(f1120,plain,
    ( spl75_125
  <=> sP72 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_125])]) ).

fof(f171,plain,
    ( ~ sP72
    | e4 != op(e3,e0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ( ( e4 != op(e3,e0)
      & e4 != op(e3,e1)
      & e4 != op(e3,e3)
      & e4 != op(e3,e4)
      & e4 != op(e3,e2) )
    | ~ sP72 ),
    inference(nnf_transformation,[],[f78]) ).

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

fof(f1516,plain,
    ( ~ spl75_115
    | ~ spl75_194 ),
    inference(avatar_split_clause,[],[f462,f1513,f1080]) ).

fof(f1080,plain,
    ( spl75_115
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_115])]) ).

fof(f462,plain,
    ( e2 != op(e0,e1)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ( ( e4 != op(e0,e1)
      & e0 != op(e0,e1)
      & e1 != op(e0,e1)
      & e3 != op(e0,e1)
      & e2 != op(e0,e1) )
    | ~ sP13 ),
    inference(nnf_transformation,[],[f19]) ).

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

fof(f1511,plain,
    ( ~ spl75_193
    | ~ spl75_132 ),
    inference(avatar_split_clause,[],[f290,f1148,f1508]) ).

fof(f1148,plain,
    ( spl75_132
  <=> sP48 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_132])]) ).

fof(f290,plain,
    ( ~ sP48
    | e1 != op(e3,e1) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ( ( e1 != op(e0,e1)
      & e1 != op(e3,e1)
      & e1 != op(e2,e1)
      & e1 != op(e1,e1)
      & e1 != op(e4,e1) )
    | ~ sP48 ),
    inference(nnf_transformation,[],[f54]) ).

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

fof(f1491,plain,
    ( ~ spl75_111
    | ~ spl75_53 ),
    inference(avatar_split_clause,[],[f321,f809,f1064]) ).

fof(f1064,plain,
    ( spl75_111
  <=> sP42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_111])]) ).

fof(f321,plain,
    ( e2 != op(e1,e3)
    | ~ sP42 ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ( ( e2 != op(e1,e3)
      & e2 != op(e3,e3)
      & e2 != op(e4,e3)
      & e2 != op(e0,e3)
      & e2 != op(e2,e3) )
    | ~ sP42 ),
    inference(nnf_transformation,[],[f48]) ).

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

fof(f1490,plain,
    ( ~ spl75_7
    | ~ spl75_108 ),
    inference(avatar_split_clause,[],[f204,f1052,f600]) ).

fof(f1052,plain,
    ( spl75_108
  <=> sP65 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_108])]) ).

fof(f204,plain,
    ( ~ sP65
    | e0 != op(e2,e4) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ( ( e2 != op(e2,e4)
      & e4 != op(e2,e4)
      & e0 != op(e2,e4)
      & e3 != op(e2,e4)
      & e1 != op(e2,e4) )
    | ~ sP65 ),
    inference(nnf_transformation,[],[f71]) ).

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

fof(f1470,plain,
    ~ spl75_69,
    inference(avatar_split_clause,[],[f1469,f885]) ).

fof(f885,plain,
    ( spl75_69
  <=> sP71 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_69])]) ).

fof(f1469,plain,
    ~ sP71,
    inference(subsumption_resolution,[],[f173,f558]) ).

fof(f173,plain,
    ( ~ sP71
    | e4 != op(e4,e2) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ( ( e3 != op(e4,e2)
      & e0 != op(e4,e2)
      & e2 != op(e4,e2)
      & e4 != op(e4,e2)
      & e1 != op(e4,e2) )
    | ~ sP71 ),
    inference(nnf_transformation,[],[f77]) ).

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

fof(f1462,plain,
    ( ~ spl75_34
    | ~ spl75_186 ),
    inference(avatar_split_clause,[],[f308,f1459,f723]) ).

fof(f723,plain,
    ( spl75_34
  <=> sP44 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_34])]) ).

fof(f308,plain,
    ( e4 != op(e3,e0)
    | ~ sP44 ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ( ( e4 != op(e1,e0)
      & e4 != op(e4,e0)
      & e4 != op(e0,e0)
      & e4 != op(e3,e0)
      & e4 != op(e2,e0) )
    | ~ sP44 ),
    inference(nnf_transformation,[],[f50]) ).

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

fof(f1455,plain,
    ( ~ spl75_127
    | ~ spl75_146 ),
    inference(avatar_split_clause,[],[f442,f1211,f1128]) ).

fof(f1128,plain,
    ( spl75_127
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_127])]) ).

fof(f442,plain,
    ( e2 != op(e4,e0)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ( ( e2 != op(e4,e1)
      & e2 != op(e4,e2)
      & e2 != op(e4,e3)
      & e2 != op(e4,e4)
      & e2 != op(e4,e0) )
    | ~ sP17 ),
    inference(nnf_transformation,[],[f23]) ).

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

fof(f1452,plain,
    ~ spl75_88,
    inference(avatar_split_clause,[],[f1451,f972]) ).

fof(f972,plain,
    ( spl75_88
  <=> sP70 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_88])]) ).

fof(f1451,plain,
    ~ sP70,
    inference(subsumption_resolution,[],[f180,f555]) ).

fof(f180,plain,
    ( e0 != op(e0,e2)
    | ~ sP70 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ( ( e0 != op(e0,e3)
      & e0 != op(e0,e2)
      & e0 != op(e0,e4)
      & e0 != op(e0,e0)
      & e0 != op(e0,e1) )
    | ~ sP70 ),
    inference(nnf_transformation,[],[f76]) ).

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

fof(f1439,plain,
    ~ spl75_147,
    inference(avatar_split_clause,[],[f537,f1218]) ).

fof(f537,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f1]) ).

fof(f1438,plain,
    spl75_168,
    inference(avatar_split_clause,[],[f550,f1338]) ).

fof(f550,plain,
    e1 = op(e1,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1420,plain,
    ~ spl75_45,
    inference(avatar_split_clause,[],[f1419,f773]) ).

fof(f773,plain,
    ( spl75_45
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_45])]) ).

fof(f1419,plain,
    ~ sP10,
    inference(subsumption_resolution,[],[f481,f554]) ).

fof(f481,plain,
    ( ~ sP10
    | e1 != op(e4,e4) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ( ( e1 != op(e4,e4)
      & e1 != op(e1,e4)
      & e1 != op(e2,e4)
      & e1 != op(e0,e4)
      & e1 != op(e3,e4) )
    | ~ sP10 ),
    inference(nnf_transformation,[],[f16]) ).

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

fof(f1411,plain,
    ( ~ spl75_84
    | ~ spl75_179 ),
    inference(avatar_split_clause,[],[f429,f1408,f956]) ).

fof(f956,plain,
    ( spl75_84
  <=> sP20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_84])]) ).

fof(f429,plain,
    ( e4 != op(e0,e4)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ( ( e4 != op(e0,e0)
      & e4 != op(e0,e1)
      & e4 != op(e0,e4)
      & e4 != op(e0,e3)
      & e4 != op(e0,e2) )
    | ~ sP20 ),
    inference(nnf_transformation,[],[f26]) ).

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

fof(f1382,plain,
    ( ~ spl75_85
    | ~ spl75_174 ),
    inference(avatar_split_clause,[],[f294,f1379,f960]) ).

fof(f960,plain,
    ( spl75_85
  <=> sP47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_85])]) ).

fof(f294,plain,
    ( e3 != op(e3,e2)
    | ~ sP47 ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ( ( e3 != op(e3,e0)
      & e3 != op(e3,e4)
      & e3 != op(e3,e2)
      & e3 != op(e3,e1)
      & e3 != op(e3,e3) )
    | ~ sP47 ),
    inference(nnf_transformation,[],[f53]) ).

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

fof(f1376,plain,
    ( ~ spl75_173
    | ~ spl75_5 ),
    inference(avatar_split_clause,[],[f508,f591,f1373]) ).

fof(f591,plain,
    ( spl75_5
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_5])]) ).

fof(f508,plain,
    ( ~ sP4
    | e4 != op(e2,e3) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ( ( e4 != op(e2,e0)
      & e4 != op(e2,e1)
      & e4 != op(e2,e2)
      & e4 != op(e2,e3)
      & e4 != op(e2,e4) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f10]) ).

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

fof(f1353,plain,
    ~ spl75_78,
    inference(avatar_split_clause,[],[f1352,f932]) ).

fof(f932,plain,
    ( spl75_78
  <=> sP27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_78])]) ).

fof(f1352,plain,
    ~ sP27,
    inference(subsumption_resolution,[],[f396,f570]) ).

fof(f396,plain,
    ( e3 != op(e1,e4)
    | ~ sP27 ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ( ( e3 != op(e1,e4)
      & e3 != op(e1,e0)
      & e3 != op(e1,e3)
      & e3 != op(e1,e1)
      & e3 != op(e1,e2) )
    | ~ sP27 ),
    inference(nnf_transformation,[],[f33]) ).

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

fof(f1341,plain,
    ( ~ spl75_168
    | ~ spl75_86 ),
    inference(avatar_split_clause,[],[f256,f964,f1338]) ).

fof(f964,plain,
    ( spl75_86
  <=> sP55 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_86])]) ).

fof(f256,plain,
    ( ~ sP55
    | e1 != op(e1,e2) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ( ( e1 != op(e1,e2)
      & e0 != op(e1,e2)
      & e4 != op(e1,e2)
      & e2 != op(e1,e2)
      & e3 != op(e1,e2) )
    | ~ sP55 ),
    inference(nnf_transformation,[],[f61]) ).

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

fof(f1333,plain,
    ( ~ spl75_72
    | spl75_163
    | spl75_164
    | spl75_165
    | spl75_166
    | spl75_167 ),
    inference(avatar_split_clause,[],[f1312,f1330,f1326,f1322,f1318,f1314,f898]) ).

fof(f898,plain,
    ( spl75_72
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_72])]) ).

fof(f1312,plain,
    ( e1 = e4
    | e0 = op(e0,e4)
    | e3 = op(e3,e4)
    | e1 = e3
    | e2 = op(e2,e4)
    | ~ sP12 ),
    inference(forward_demodulation,[],[f1311,f570]) ).

fof(f1311,plain,
    ( e1 = op(e1,e4)
    | e1 = e4
    | e0 = op(e0,e4)
    | e2 = op(e2,e4)
    | e3 = op(e3,e4)
    | ~ sP12 ),
    inference(forward_demodulation,[],[f468,f554]) ).

fof(f468,plain,
    ( e4 = op(e4,e4)
    | e2 = op(e2,e4)
    | e1 = op(e1,e4)
    | e0 = op(e0,e4)
    | ~ sP12
    | e3 = op(e3,e4) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ( ( ( e3 = op(e3,e2)
        | e4 = op(e4,e2)
        | e2 = op(e2,e2)
        | e1 = op(e1,e2)
        | e0 = op(e0,e2) )
      & ( e4 = op(e4,e1)
        | e1 = op(e1,e1)
        | e3 = op(e3,e1)
        | e0 = op(e0,e1)
        | e2 = op(e2,e1) )
      & ( e4 = op(e4,e0)
        | e2 = op(e2,e0)
        | e3 = op(e3,e0)
        | e1 = op(e1,e0)
        | e0 = op(e0,e0) )
      & ( e4 = op(e4,e4)
        | e0 = op(e0,e4)
        | e1 = op(e1,e4)
        | e2 = op(e2,e4)
        | e3 = op(e3,e4) )
      & ( e2 = op(e2,e3)
        | e4 = op(e4,e3)
        | e1 = op(e1,e3)
        | e0 = op(e0,e3)
        | e3 = op(e3,e3) ) )
    | ~ sP12 ),
    inference(nnf_transformation,[],[f18]) ).

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

fof(f1280,plain,
    ( ~ spl75_39
    | ~ spl75_157 ),
    inference(avatar_split_clause,[],[f380,f1277,f746]) ).

fof(f746,plain,
    ( spl75_39
  <=> sP30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_39])]) ).

fof(f380,plain,
    ( e1 != op(e0,e3)
    | ~ sP30 ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( ( e4 != op(e0,e3)
      & e1 != op(e0,e3)
      & e2 != op(e0,e3)
      & e3 != op(e0,e3)
      & e0 != op(e0,e3) )
    | ~ sP30 ),
    inference(nnf_transformation,[],[f36]) ).

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

fof(f1266,plain,
    ( ~ spl75_155
    | ~ spl75_66 ),
    inference(avatar_split_clause,[],[f219,f872,f1263]) ).

fof(f872,plain,
    ( spl75_66
  <=> sP62 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_66])]) ).

fof(f219,plain,
    ( ~ sP62
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ( ( e2 != op(e2,e4)
      & e2 != op(e2,e1)
      & e2 != op(e2,e2)
      & e2 != op(e2,e3)
      & e2 != op(e2,e0) )
    | ~ sP62 ),
    inference(nnf_transformation,[],[f68]) ).

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

fof(f1254,plain,
    ( ~ spl75_135
    | ~ spl75_131 ),
    inference(avatar_split_clause,[],[f522,f1144,f1160]) ).

fof(f1144,plain,
    ( spl75_131
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_131])]) ).

fof(f522,plain,
    ( ~ sP1
    | e3 != op(e2,e1) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ( ( e3 != op(e2,e3)
      & e3 != op(e2,e4)
      & e3 != op(e2,e2)
      & e3 != op(e2,e0)
      & e3 != op(e2,e1) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f7]) ).

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

fof(f1214,plain,
    ( ~ spl75_146
    | ~ spl75_28 ),
    inference(avatar_split_clause,[],[f257,f695,f1211]) ).

fof(f695,plain,
    ( spl75_28
  <=> sP54 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_28])]) ).

fof(f257,plain,
    ( ~ sP54
    | e2 != op(e4,e0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ( ( e1 != op(e4,e0)
      & e4 != op(e4,e0)
      & e3 != op(e4,e0)
      & e0 != op(e4,e0)
      & e2 != op(e4,e0) )
    | ~ sP54 ),
    inference(nnf_transformation,[],[f60]) ).

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

fof(f1193,plain,
    ( ~ spl75_135
    | ~ spl75_41 ),
    inference(avatar_split_clause,[],[f332,f755,f1160]) ).

fof(f755,plain,
    ( spl75_41
  <=> sP39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_41])]) ).

fof(f332,plain,
    ( ~ sP39
    | e3 != op(e2,e1) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ( ( e0 != op(e2,e1)
      & e2 != op(e2,e1)
      & e1 != op(e2,e1)
      & e4 != op(e2,e1)
      & e3 != op(e2,e1) )
    | ~ sP39 ),
    inference(nnf_transformation,[],[f45]) ).

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

fof(f1191,plain,
    ( spl75_44
    | spl75_76
    | spl75_77
    | spl75_28
    | spl75_25
    | spl75_78
    | ~ spl75_79
    | spl75_80
    | ~ spl75_81
    | spl75_82
    | ~ spl75_83
    | spl75_35
    | spl75_84
    | spl75_72
    | spl75_85
    | spl75_61
    | spl75_13
    | spl75_86
    | spl75_87
    | spl75_88
    | ~ spl75_89
    | ~ spl75_90
    | spl75_16
    | spl75_91
    | ~ spl75_92
    | spl75_69
    | ~ spl75_93
    | spl75_94
    | spl75_95
    | spl75_58
    | ~ spl75_96
    | ~ spl75_97
    | ~ spl75_98
    | ~ spl75_99
    | spl75_100
    | spl75_101
    | spl75_50
    | spl75_102
    | spl75_103
    | spl75_104
    | ~ spl75_105
    | spl75_106
    | spl75_107
    | spl75_34
    | spl75_10
    | spl75_108
    | spl75_109
    | spl75_17
    | spl75_24
    | spl75_51
    | ~ spl75_110
    | spl75_111
    | spl75_112
    | ~ spl75_113
    | ~ spl75_114
    | spl75_41
    | spl75_115
    | spl75_116
    | spl75_117
    | spl75_118
    | spl75_45
    | spl75_48
    | spl75_119
    | ~ spl75_120
    | spl75_121
    | ~ spl75_122
    | spl75_123
    | spl75_124
    | spl75_125
    | spl75_126
    | spl75_37
    | spl75_127
    | ~ spl75_128
    | spl75_8
    | ~ spl75_129
    | spl75_39
    | ~ spl75_130
    | spl75_12
    | spl75_131
    | spl75_132
    | ~ spl75_133
    | spl75_134
    | ~ spl75_135
    | spl75_1
    | ~ spl75_62
    | spl75_136
    | spl75_30
    | spl75_19
    | spl75_75
    | spl75_4
    | spl75_32
    | spl75_66
    | spl75_137
    | spl75_22
    | spl75_65
    | spl75_138
    | spl75_5
    | ~ spl75_139
    | ~ spl75_140
    | ~ spl75_141
    | spl75_142 ),
    inference(avatar_split_clause,[],[f922,f1188,f1184,f1180,f1176,f591,f1172,f867,f668,f1168,f872,f714,f586,f914,f654,f705,f1164,f853,f573,f1160,f1156,f1152,f1148,f1144,f622,f1140,f746,f1136,f604,f1132,f1128,f737,f1124,f1120,f1116,f1112,f1108,f1104,f1100,f1096,f786,f773,f1092,f1088,f1084,f1080,f755,f1076,f1072,f1068,f1064,f1060,f800,f677,f645,f1056,f1052,f613,f723,f1048,f1044,f1040,f1036,f1032,f1028,f795,f1024,f1020,f1016,f1012,f1008,f1004,f835,f1000,f996,f992,f885,f988,f984,f640,f980,f976,f972,f968,f964,f627,f849,f960,f898,f956,f728,f952,f948,f944,f940,f936,f932,f682,f695,f928,f924,f768]) ).

fof(f849,plain,
    ( spl75_61
  <=> sP36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_61])]) ).

fof(f645,plain,
    ( spl75_17
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_17])]) ).

fof(f800,plain,
    ( spl75_51
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_51])]) ).

fof(f604,plain,
    ( spl75_8
  <=> sP21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_8])]) ).

fof(f705,plain,
    ( spl75_30
  <=> sP73 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_30])]) ).

fof(f654,plain,
    ( spl75_19
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_19])]) ).

fof(f922,plain,
    ( sP41
    | e1 != op(op(e1,e1),op(e1,e1))
    | e3 != op(op(e2,e3),op(e3,e2))
    | e0 != op(op(e0,e0),op(e0,e0))
    | sP4
    | sP40
    | sP0
    | sP34
    | sP63
    | sP62
    | sP28
    | sP56
    | sP68
    | sP9
    | sP73
    | sP43
    | e4 != op(e1,e1)
    | sP49
    | e3 != op(e2,e1)
    | sP15
    | e3 != op(op(e1,e3),op(e3,e1))
    | sP48
    | sP1
    | sP59
    | e2 != op(op(e1,e2),op(e2,e1))
    | sP30
    | e4 != op(op(e0,e4),op(e4,e0))
    | sP21
    | e3 != op(op(e4,e3),op(e3,e4))
    | sP17
    | sP2
    | sP61
    | sP72
    | sP11
    | sP24
    | e4 != op(op(e2,e4),op(e4,e2))
    | sP35
    | e3 != op(op(e0,e3),op(e3,e0))
    | sP7
    | sP50
    | sP10
    | sP25
    | sP67
    | sP14
    | sP13
    | sP39
    | e2 != op(op(e4,e2),op(e2,e4))
    | e0 != op(op(e3,e0),op(e0,e3))
    | sP33
    | sP42
    | e4 != op(e3,op(e4,e1))
    | sP19
    | sP16
    | sP23
    | sP6
    | sP65
    | sP18
    | sP44
    | sP29
    | sP46
    | e1 != op(op(e3,e1),op(e1,e3))
    | sP66
    | sP74
    | sP37
    | sP58
    | sP3
    | sP51
    | e4 != op(op(e3,e4),op(e4,e3))
    | e0 != op(op(e1,e0),op(e0,e1))
    | e2 != op(op(e2,e2),op(e2,e2))
    | e1 != op(op(e0,e1),op(e1,e0))
    | sP31
    | sP38
    | sP57
    | e0 != op(op(e2,e0),e0)
    | sP71
    | e3 != op(op(e3,e3),op(e3,e3))
    | sP32
    | sP45
    | e0 != op(op(e4,e0),op(e0,e4))
    | e2 != op(op(e3,e2),op(e2,e3))
    | sP70
    | sP60
    | sP55
    | sP8
    | sP36
    | sP47
    | sP12
    | sP20
    | sP64
    | e1 != op(op(e2,e1),op(e1,e2))
    | sP26
    | e1 != op(op(e4,e1),e3)
    | sP5
    | e2 != op(e0,op(e2,e0))
    | sP27
    | sP53
    | sP54
    | sP52
    | sP69
    | sP22 ),
    inference(forward_demodulation,[],[f921,f555]) ).

fof(f921,plain,
    ( sP19
    | sP72
    | e4 != op(e3,op(e4,e1))
    | sP13
    | sP20
    | sP15
    | sP34
    | sP74
    | sP0
    | sP5
    | sP4
    | sP50
    | sP60
    | sP42
    | sP55
    | e0 != op(op(e0,e0),op(e0,e0))
    | e4 != op(e1,e1)
    | sP65
    | sP40
    | e3 != op(op(e1,e3),op(e3,e1))
    | e2 != op(op(e4,e2),op(e2,e4))
    | e2 != op(op(e3,e2),op(e2,e3))
    | sP49
    | e2 != op(op(e0,e2),op(e2,e0))
    | sP71
    | sP59
    | sP35
    | e4 != op(op(e2,e4),op(e4,e2))
    | sP66
    | e2 != op(op(e2,e2),op(e2,e2))
    | sP26
    | sP54
    | sP1
    | e3 != op(op(e2,e3),op(e3,e2))
    | sP53
    | sP30
    | sP48
    | e4 != op(op(e3,e4),op(e4,e3))
    | sP7
    | sP9
    | sP12
    | sP24
    | sP39
    | sP64
    | sP31
    | sP6
    | e3 != op(op(e0,e3),op(e3,e0))
    | sP29
    | sP56
    | e1 != op(op(e4,e1),e3)
    | e3 != op(e2,e1)
    | e1 != op(op(e1,e1),op(e1,e1))
    | sP33
    | sP37
    | sP16
    | e1 != op(op(e0,e1),op(e1,e0))
    | sP23
    | e1 != op(op(e3,e1),op(e1,e3))
    | sP46
    | sP69
    | sP62
    | sP28
    | sP57
    | sP32
    | sP45
    | e3 != op(op(e3,e3),op(e3,e3))
    | sP8
    | sP73
    | e0 != op(op(e3,e0),op(e0,e3))
    | sP70
    | sP27
    | sP2
    | sP11
    | sP25
    | sP52
    | sP17
    | e0 != op(op(e1,e0),op(e0,e1))
    | sP67
    | sP38
    | sP43
    | e3 != op(op(e4,e3),op(e3,e4))
    | e4 != op(op(e0,e4),op(e4,e0))
    | sP14
    | sP36
    | sP41
    | sP18
    | sP10
    | e0 != op(op(e4,e0),op(e0,e4))
    | sP44
    | sP68
    | e2 != op(op(e1,e2),op(e2,e1))
    | sP3
    | e1 != op(op(e2,e1),op(e1,e2))
    | sP63
    | sP22
    | sP61
    | e0 != op(op(e2,e0),e0)
    | sP58
    | sP47
    | sP51
    | sP21 ),
    inference(forward_demodulation,[],[f920,f555]) ).

fof(f920,plain,
    ( sP34
    | sP63
    | e2 != op(op(e4,e2),op(e2,e4))
    | e1 != op(op(e1,e1),op(e1,e1))
    | e1 != op(op(e3,e1),op(e1,e3))
    | sP55
    | e1 != op(op(e4,e1),e3)
    | sP37
    | e3 != op(e2,e1)
    | e3 != op(op(e1,e3),op(e3,e1))
    | sP25
    | sP65
    | sP59
    | sP3
    | e0 != op(op(e4,e0),op(e0,e4))
    | e4 != op(op(e2,e4),op(e4,e2))
    | e3 != op(op(e2,e3),op(e3,e2))
    | e3 != op(op(e0,e3),op(e3,e0))
    | sP74
    | sP47
    | sP33
    | e0 != op(op(e2,e0),op(e0,e2))
    | e4 != op(e1,e1)
    | e3 != op(op(e4,e3),op(e3,e4))
    | sP14
    | sP46
    | sP73
    | e0 != op(op(e0,e0),op(e0,e0))
    | sP2
    | sP18
    | sP72
    | sP20
    | e4 != op(e3,op(e4,e1))
    | sP4
    | sP45
    | sP42
    | sP0
    | e0 != op(op(e1,e0),op(e0,e1))
    | e4 != op(op(e3,e4),op(e4,e3))
    | sP27
    | sP38
    | sP36
    | sP60
    | sP30
    | sP43
    | sP68
    | sP6
    | sP58
    | sP61
    | sP16
    | sP62
    | sP54
    | sP50
    | sP7
    | sP12
    | e2 != op(op(e0,e2),op(e2,e0))
    | sP40
    | sP39
    | sP66
    | sP71
    | sP70
    | sP5
    | sP52
    | sP48
    | sP69
    | e0 != op(op(e3,e0),op(e0,e3))
    | sP31
    | sP8
    | sP23
    | sP57
    | e2 != op(op(e3,e2),op(e2,e3))
    | e2 != op(op(e1,e2),op(e2,e1))
    | sP44
    | sP56
    | sP53
    | sP49
    | sP13
    | sP26
    | sP21
    | sP28
    | sP29
    | sP32
    | e1 != op(op(e2,e1),op(e1,e2))
    | e1 != op(op(e0,e1),op(e1,e0))
    | sP35
    | sP64
    | sP19
    | e2 != op(op(e2,e2),op(e2,e2))
    | sP41
    | sP17
    | sP15
    | e4 != op(op(e0,e4),op(e4,e0))
    | e3 != op(op(e3,e3),op(e3,e3))
    | sP51
    | sP11
    | sP10
    | sP1
    | sP24
    | sP22
    | sP9
    | sP67 ),
    inference(forward_demodulation,[],[f919,f570]) ).

fof(f919,plain,
    ( e3 != op(e2,e1)
    | sP2
    | sP30
    | sP32
    | sP15
    | sP25
    | sP52
    | sP1
    | sP10
    | sP54
    | e4 != op(e1,e1)
    | sP0
    | sP69
    | e4 != op(op(e1,e4),op(e4,e1))
    | sP37
    | sP26
    | sP18
    | sP11
    | sP42
    | e2 != op(op(e0,e2),op(e2,e0))
    | sP3
    | sP67
    | sP43
    | sP62
    | sP38
    | sP16
    | e0 != op(op(e1,e0),op(e0,e1))
    | sP71
    | sP44
    | sP45
    | sP33
    | e3 != op(op(e0,e3),op(e3,e0))
    | e1 != op(op(e0,e1),op(e1,e0))
    | e1 != op(op(e3,e1),op(e1,e3))
    | e2 != op(op(e3,e2),op(e2,e3))
    | sP40
    | e0 != op(op(e4,e0),op(e0,e4))
    | sP20
    | e2 != op(op(e1,e2),op(e2,e1))
    | sP9
    | sP36
    | e3 != op(op(e1,e3),op(e3,e1))
    | sP41
    | sP72
    | sP34
    | sP56
    | e2 != op(op(e4,e2),op(e2,e4))
    | sP24
    | sP49
    | sP50
    | sP65
    | sP57
    | e1 != op(op(e4,e1),e3)
    | sP74
    | sP63
    | sP47
    | sP14
    | sP59
    | sP61
    | sP73
    | sP51
    | sP39
    | sP19
    | sP55
    | sP23
    | e0 != op(op(e2,e0),op(e0,e2))
    | sP35
    | e0 != op(op(e0,e0),op(e0,e0))
    | e4 != op(op(e2,e4),op(e4,e2))
    | sP64
    | e3 != op(op(e4,e3),op(e3,e4))
    | e0 != op(op(e3,e0),op(e0,e3))
    | sP46
    | sP12
    | sP29
    | sP70
    | sP27
    | sP21
    | e1 != op(op(e2,e1),op(e1,e2))
    | sP53
    | sP68
    | e2 != op(op(e2,e2),op(e2,e2))
    | e1 != op(op(e1,e1),op(e1,e1))
    | sP22
    | sP4
    | sP66
    | sP6
    | sP60
    | sP31
    | sP8
    | sP48
    | sP58
    | e4 != op(op(e3,e4),op(e4,e3))
    | e4 != op(op(e0,e4),op(e4,e0))
    | sP13
    | sP28
    | e3 != op(op(e3,e3),op(e3,e3))
    | sP5
    | sP7
    | sP17
    | e3 != op(op(e2,e3),op(e3,e2)) ),
    inference(forward_demodulation,[],[f918,f570]) ).

fof(f918,plain,
    ( sP65
    | sP30
    | sP49
    | e1 != op(op(e3,e1),op(e1,e3))
    | sP66
    | sP5
    | sP8
    | sP55
    | sP25
    | e2 != op(op(e2,e2),op(e2,e2))
    | sP71
    | e3 != op(op(e2,e3),op(e3,e2))
    | sP21
    | sP38
    | sP60
    | sP36
    | e1 != op(op(e4,e1),op(e1,e4))
    | e1 != op(op(e0,e1),op(e1,e0))
    | sP43
    | sP1
    | sP41
    | e2 != op(op(e1,e2),op(e2,e1))
    | sP4
    | sP32
    | sP50
    | sP16
    | sP69
    | sP70
    | e2 != op(op(e0,e2),op(e2,e0))
    | e0 != op(op(e1,e0),op(e0,e1))
    | sP9
    | e3 != op(e2,e1)
    | e2 != op(op(e3,e2),op(e2,e3))
    | sP59
    | sP24
    | sP0
    | e1 != op(op(e1,e1),op(e1,e1))
    | sP44
    | sP40
    | sP62
    | e3 != op(op(e0,e3),op(e3,e0))
    | sP57
    | sP29
    | sP6
    | sP64
    | sP22
    | sP33
    | e4 != op(e1,e1)
    | sP17
    | e2 != op(op(e4,e2),op(e2,e4))
    | e0 != op(op(e2,e0),op(e0,e2))
    | sP20
    | e0 != op(op(e0,e0),op(e0,e0))
    | sP14
    | sP56
    | sP35
    | sP37
    | sP13
    | sP27
    | e0 != op(op(e4,e0),op(e0,e4))
    | sP42
    | sP12
    | sP45
    | sP61
    | sP67
    | sP34
    | e3 != op(op(e4,e3),op(e3,e4))
    | sP10
    | sP72
    | sP2
    | sP73
    | e4 != op(op(e1,e4),op(e4,e1))
    | sP52
    | sP47
    | sP7
    | e4 != op(op(e0,e4),op(e4,e0))
    | e4 != op(op(e2,e4),op(e4,e2))
    | sP19
    | sP54
    | sP3
    | sP74
    | sP68
    | sP63
    | sP53
    | sP58
    | sP28
    | sP48
    | sP26
    | e1 != op(op(e2,e1),op(e1,e2))
    | e3 != op(op(e3,e3),op(e3,e3))
    | sP18
    | sP46
    | e0 != op(op(e3,e0),op(e0,e3))
    | e3 != op(op(e1,e3),op(e3,e1))
    | sP11
    | sP31
    | sP51
    | sP39
    | sP23
    | e4 != op(op(e3,e4),op(e4,e3))
    | sP15 ),
    inference(forward_demodulation,[],[f534,f554]) ).

fof(f534,plain,
    ( sP33
    | sP32
    | sP50
    | sP9
    | sP12
    | sP55
    | sP35
    | sP71
    | e1 != op(op(e2,e1),op(e1,e2))
    | sP69
    | sP42
    | sP66
    | sP62
    | sP48
    | sP14
    | sP24
    | sP17
    | sP70
    | sP38
    | sP20
    | e4 != op(op(e4,e4),op(e4,e4))
    | e1 != op(op(e1,e1),op(e1,e1))
    | sP58
    | sP8
    | sP73
    | e3 != op(op(e0,e3),op(e3,e0))
    | sP4
    | sP23
    | e0 != op(op(e4,e0),op(e0,e4))
    | sP45
    | e4 != op(op(e3,e4),op(e4,e3))
    | e1 != op(op(e4,e1),op(e1,e4))
    | sP11
    | sP64
    | e2 != op(op(e0,e2),op(e2,e0))
    | sP22
    | sP63
    | e1 != op(op(e3,e1),op(e1,e3))
    | sP15
    | sP56
    | sP21
    | sP27
    | e3 != op(op(e2,e3),op(e3,e2))
    | sP53
    | sP74
    | sP13
    | e4 != op(op(e2,e4),op(e4,e2))
    | e4 != op(op(e0,e4),op(e4,e0))
    | e1 != op(op(e0,e1),op(e1,e0))
    | sP52
    | sP59
    | sP3
    | sP43
    | sP34
    | sP67
    | e2 != op(op(e3,e2),op(e2,e3))
    | sP57
    | e4 != op(op(e1,e4),op(e4,e1))
    | e3 != op(e2,e1)
    | e0 != op(op(e0,e0),op(e0,e0))
    | sP60
    | sP29
    | sP30
    | sP26
    | e0 != op(op(e1,e0),op(e0,e1))
    | e2 != op(op(e2,e2),op(e2,e2))
    | sP47
    | e0 != op(op(e2,e0),op(e0,e2))
    | sP1
    | sP68
    | sP5
    | sP44
    | sP31
    | sP37
    | e2 != op(op(e4,e2),op(e2,e4))
    | e2 != op(op(e1,e2),op(e2,e1))
    | sP25
    | e0 != op(op(e3,e0),op(e0,e3))
    | sP10
    | sP49
    | sP40
    | sP72
    | sP28
    | sP61
    | sP2
    | sP39
    | e3 != op(op(e3,e3),op(e3,e3))
    | sP18
    | sP36
    | sP51
    | sP41
    | sP7
    | e3 != op(op(e1,e3),op(e3,e1))
    | sP16
    | sP19
    | sP54
    | sP0
    | sP46
    | sP65
    | sP6
    | e3 != op(op(e4,e3),op(e3,e4)) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ( ( e3 != op(e4,e1)
      & e3 != op(e0,e1)
      & e3 != op(e2,e1)
      & e3 != op(e1,e1)
      & e3 != op(e3,e1) )
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | e1 != op(op(e0,e1),op(e1,e0))
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | e2 != op(op(e4,e2),op(e2,e4))
    | e3 != op(op(e2,e3),op(e3,e2))
    | sP61
    | sP60
    | sP59
    | e4 != op(op(e2,e4),op(e4,e2))
    | sP58
    | sP57
    | sP56
    | sP55
    | e4 != op(op(e3,e4),op(e4,e3))
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | e1 != op(op(e2,e1),op(e1,e2))
    | sP42
    | sP41
    | e4 != op(op(e4,e4),op(e4,e4))
    | sP40
    | e0 != op(op(e0,e0),op(e0,e0))
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | e0 != op(op(e3,e0),op(e0,e3))
    | sP33
    | sP32
    | e2 != op(op(e3,e2),op(e2,e3))
    | sP31
    | sP30
    | e4 != op(op(e1,e4),op(e4,e1))
    | sP29
    | sP28
    | sP27
    | sP26
    | sP25
    | sP24
    | e2 != op(op(e2,e2),op(e2,e2))
    | e1 != op(op(e1,e1),op(e1,e1))
    | sP23
    | sP22
    | sP21
    | e3 != op(op(e4,e3),op(e3,e4))
    | e1 != op(op(e3,e1),op(e1,e3))
    | sP20
    | sP19
    | sP18
    | sP17
    | e3 != op(op(e0,e3),op(e3,e0))
    | sP16
    | e4 != op(op(e0,e4),op(e4,e0))
    | sP15
    | sP14
    | sP13
    | sP12
    | e3 != op(op(e3,e3),op(e3,e3))
    | sP11
    | e0 != op(op(e1,e0),op(e0,e1))
    | e2 != op(op(e0,e2),op(e2,e0))
    | sP10
    | e0 != op(op(e4,e0),op(e0,e4))
    | sP9
    | sP8
    | sP7
    | sP6
    | e0 != op(op(e2,e0),op(e0,e2))
    | sP5
    | sP4
    | e1 != op(op(e4,e1),op(e1,e4))
    | sP3
    | e2 != op(op(e1,e2),op(e2,e1))
    | e3 != op(op(e1,e3),op(e3,e1))
    | sP2
    | sP1
    | sP0 ),
    inference(definition_folding,[],[f5,f80,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(f15,plain,
    ( ( e2 != op(e1,e4)
      & e2 != op(e1,e3)
      & e2 != op(e1,e0)
      & e2 != op(e1,e1)
      & e2 != op(e1,e2) )
    | ~ sP9 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

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

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

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

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

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

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

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

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

fof(f856,plain,
    ( ~ spl75_61
    | ~ spl75_62 ),
    inference(avatar_split_clause,[],[f348,f853,f849]) ).

fof(f348,plain,
    ( e4 != op(e1,e1)
    | ~ sP36 ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ( ( e0 != op(e1,e1)
      & e2 != op(e1,e1)
      & e1 != op(e1,e1)
      & e4 != op(e1,e1)
      & e3 != op(e1,e1) )
    | ~ sP36 ),
    inference(nnf_transformation,[],[f42]) ).

fof(f847,plain,
    ( ~ spl75_30
    | ~ spl75_60 ),
    inference(avatar_split_clause,[],[f165,f844,f705]) ).

fof(f165,plain,
    ( e3 != op(e4,e3)
    | ~ sP73 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ( ( e3 != op(e4,e4)
      & e3 != op(e4,e3)
      & e3 != op(e4,e0)
      & e3 != op(e4,e2)
      & e3 != op(e4,e1) )
    | ~ sP73 ),
    inference(nnf_transformation,[],[f79]) ).

fof(f818,plain,
    spl75_53,
    inference(avatar_split_clause,[],[f565,f809]) ).

fof(f565,plain,
    e2 = op(e1,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f812,plain,
    ( ~ spl75_19
    | ~ spl75_53 ),
    inference(avatar_split_clause,[],[f485,f809,f654]) ).

fof(f485,plain,
    ( e2 != op(e1,e3)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ( ( e2 != op(e1,e4)
      & e2 != op(e1,e3)
      & e2 != op(e1,e0)
      & e2 != op(e1,e1)
      & e2 != op(e1,e2) )
    | ~ sP9 ),
    inference(nnf_transformation,[],[f15]) ).

fof(f807,plain,
    ( ~ spl75_51
    | ~ spl75_52 ),
    inference(avatar_split_clause,[],[f434,f804,f800]) ).

fof(f434,plain,
    ( e0 != op(e4,e1)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ( ( e3 != op(e4,e1)
      & e2 != op(e4,e1)
      & e0 != op(e4,e1)
      & e4 != op(e4,e1)
      & e1 != op(e4,e1) )
    | ~ sP19 ),
    inference(nnf_transformation,[],[f25]) ).

fof(f648,plain,
    ( ~ spl75_7
    | ~ spl75_17 ),
    inference(avatar_split_clause,[],[f414,f645,f600]) ).

fof(f414,plain,
    ( ~ sP23
    | e0 != op(e2,e4) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ( ( e0 != op(e2,e3)
      & e0 != op(e2,e0)
      & e0 != op(e2,e4)
      & e0 != op(e2,e1)
      & e0 != op(e2,e2) )
    | ~ sP23 ),
    inference(nnf_transformation,[],[f29]) ).

fof(f607,plain,
    ( ~ spl75_7
    | ~ spl75_8 ),
    inference(avatar_split_clause,[],[f425,f604,f600]) ).

fof(f425,plain,
    ( ~ sP21
    | e0 != op(e2,e4) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ( ( e0 != op(e4,e4)
      & e0 != op(e2,e4)
      & e0 != op(e0,e4)
      & e0 != op(e1,e4)
      & e0 != op(e3,e4) )
    | ~ sP21 ),
    inference(nnf_transformation,[],[f27]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : ALG186+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 15:12:45 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.50  % (1929)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50  % (1919)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.50  % (1921)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.50  % (1930)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.50  % (1937)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.50  % (1920)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51  % (1926)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51  % (1941)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.51  % (1926)Instruction limit reached!
% 0.18/0.51  % (1926)------------------------------
% 0.18/0.51  % (1926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (1926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (1926)Termination reason: Unknown
% 0.18/0.51  % (1926)Termination phase: Property scanning
% 0.18/0.51  
% 0.18/0.51  % (1926)Memory used [KB]: 1151
% 0.18/0.51  % (1926)Time elapsed: 0.005 s
% 0.18/0.51  % (1926)Instructions burned: 8 (million)
% 0.18/0.51  % (1926)------------------------------
% 0.18/0.51  % (1926)------------------------------
% 0.18/0.51  % (1942)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.51  % (1925)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (1943)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.52  % (1945)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.52  % (1934)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.52  % (1946)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.52  % (1927)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52  % (1947)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52  % (1927)Instruction limit reached!
% 0.18/0.52  % (1927)------------------------------
% 0.18/0.52  % (1927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (1927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (1927)Termination reason: Unknown
% 0.18/0.52  % (1927)Termination phase: Naming
% 0.18/0.52  
% 0.18/0.52  % (1927)Memory used [KB]: 1023
% 0.18/0.52  % (1927)Time elapsed: 0.004 s
% 0.18/0.52  % (1927)Instructions burned: 4 (million)
% 0.18/0.52  % (1927)------------------------------
% 0.18/0.52  % (1927)------------------------------
% 0.18/0.52  % (1924)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.52  % (1940)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.52  % (1931)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.52  % (1935)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53  % (1932)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53  % (1944)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.53  % (1922)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53  % (1923)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53  % (1933)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.53  % (1936)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.54  % (1948)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.54  % (1939)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.54  % (1928)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.54  % (1938)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.55  TRYING [5]
% 1.61/0.56  % (1921)Instruction limit reached!
% 1.61/0.56  % (1921)------------------------------
% 1.61/0.56  % (1921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.56  % (1921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.56  % (1921)Termination reason: Unknown
% 1.61/0.56  % (1921)Termination phase: Saturation
% 1.61/0.56  
% 1.61/0.56  % (1921)Memory used [KB]: 1407
% 1.61/0.56  % (1921)Time elapsed: 0.022 s
% 1.61/0.56  % (1921)Instructions burned: 39 (million)
% 1.61/0.56  % (1921)------------------------------
% 1.61/0.56  % (1921)------------------------------
% 1.61/0.56  % (1942)First to succeed.
% 1.77/0.57  % (1925)Instruction limit reached!
% 1.77/0.57  % (1925)------------------------------
% 1.77/0.57  % (1925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.57  % (1925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.57  % (1925)Termination reason: Unknown
% 1.77/0.57  % (1925)Termination phase: Finite model building SAT solving
% 1.77/0.57  
% 1.77/0.57  % (1925)Memory used [KB]: 8059
% 1.77/0.57  % (1925)Time elapsed: 0.127 s
% 1.77/0.57  % (1925)Instructions burned: 53 (million)
% 1.77/0.57  % (1925)------------------------------
% 1.77/0.57  % (1925)------------------------------
% 1.77/0.58  % (1922)Instruction limit reached!
% 1.77/0.58  % (1922)------------------------------
% 1.77/0.58  % (1922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.58  % (1922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.58  % (1922)Termination reason: Unknown
% 1.77/0.58  % (1922)Termination phase: Saturation
% 1.77/0.58  
% 1.77/0.58  % (1922)Memory used [KB]: 7036
% 1.77/0.58  % (1922)Time elapsed: 0.021 s
% 1.77/0.58  % (1922)Instructions burned: 51 (million)
% 1.77/0.58  % (1922)------------------------------
% 1.77/0.58  % (1922)------------------------------
% 1.77/0.59  TRYING [5]
% 1.77/0.59  % (1942)Refutation found. Thanks to Tanya!
% 1.77/0.59  % SZS status Theorem for theBenchmark
% 1.77/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.77/0.60  % (1942)------------------------------
% 1.77/0.60  % (1942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.60  % (1942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.60  % (1942)Termination reason: Refutation
% 1.77/0.60  
% 1.77/0.60  % (1942)Memory used [KB]: 7036
% 1.77/0.60  % (1942)Time elapsed: 0.074 s
% 1.77/0.60  % (1942)Instructions burned: 40 (million)
% 1.77/0.60  % (1942)------------------------------
% 1.77/0.60  % (1942)------------------------------
% 1.77/0.60  % (1918)Success in time 0.253 s
%------------------------------------------------------------------------------