TSTP Solution File: ALG187+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ALG187+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 15:40:23 EDT 2022

% Result   : Theorem 2.52s 0.73s
% Output   : Refutation 2.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  208
% Syntax   : Number of formulae    :  659 (  56 unt;   0 def)
%            Number of atoms       : 3699 (2425 equ)
%            Maximal formula atoms :  425 (   5 avg)
%            Number of connectives : 5109 (2069   ~;1729   |;1181   &)
%                                         ( 130 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  106 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :  207 ( 205 usr; 206 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2046,plain,
    $false,
    inference(avatar_sat_refutation,[],[f589,f598,f634,f655,f748,f891,f900,f901,f937,f957,f976,f996,f1022,f1027,f1041,f1069,f1097,f1122,f1157,f1159,f1160,f1170,f1205,f1237,f1315,f1323,f1328,f1330,f1355,f1368,f1392,f1412,f1424,f1436,f1438,f1440,f1441,f1442,f1443,f1465,f1469,f1475,f1481,f1486,f1490,f1510,f1533,f1542,f1543,f1659,f1660,f1661,f1662,f1664,f1667,f1669,f1682,f1684,f1695,f1698,f1707,f1715,f1724,f1725,f1726,f1727,f1730,f1732,f1745,f1747,f1752,f1754,f1770,f1771,f1774,f1777,f1785,f1787,f1788,f1800,f1816,f1818,f1821,f1837,f1838,f1839,f1840,f1846,f1853,f1864,f1865,f1866,f1867,f1869,f1870,f1871,f1872,f1873,f1874,f1875,f1876,f1880,f1886,f1890,f1898,f1902,f1910,f1916,f1920,f1927,f1932,f1938,f1944,f1950,f1956,f1960,f1966,f1974,f1978,f1985,f1989,f1995,f1998,f2003,f2008,f2014,f2017,f2035,f2038,f2041,f2045]) ).

fof(f2045,plain,
    ( ~ spl75_19
    | ~ spl75_127 ),
    inference(avatar_contradiction_clause,[],[f2044]) ).

fof(f2044,plain,
    ( $false
    | ~ spl75_19
    | ~ spl75_127 ),
    inference(subsumption_resolution,[],[f2043,f165]) ).

fof(f165,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f1]) ).

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

fof(f2043,plain,
    ( e0 = e2
    | ~ spl75_19
    | ~ spl75_127 ),
    inference(backward_demodulation,[],[f1155,f654]) ).

fof(f654,plain,
    ( e0 = op(e4,e0)
    | ~ spl75_19 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f652,plain,
    ( spl75_19
  <=> e0 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_19])]) ).

fof(f1155,plain,
    ( e2 = op(e4,e0)
    | ~ spl75_127 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f1154,plain,
    ( spl75_127
  <=> e2 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_127])]) ).

fof(f2041,plain,
    ( ~ spl75_18
    | ~ spl75_170 ),
    inference(avatar_contradiction_clause,[],[f2040]) ).

fof(f2040,plain,
    ( $false
    | ~ spl75_18
    | ~ spl75_170 ),
    inference(subsumption_resolution,[],[f2039,f158]) ).

fof(f158,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f1]) ).

fof(f2039,plain,
    ( e1 = e2
    | ~ spl75_18
    | ~ spl75_170 ),
    inference(forward_demodulation,[],[f650,f1390]) ).

fof(f1390,plain,
    ( e1 = op(e4,e2)
    | ~ spl75_170 ),
    inference(avatar_component_clause,[],[f1389]) ).

fof(f1389,plain,
    ( spl75_170
  <=> e1 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_170])]) ).

fof(f650,plain,
    ( e2 = op(e4,e2)
    | ~ spl75_18 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f648,plain,
    ( spl75_18
  <=> e2 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_18])]) ).

fof(f2038,plain,
    ( ~ spl75_8
    | ~ spl75_177 ),
    inference(avatar_contradiction_clause,[],[f2037]) ).

fof(f2037,plain,
    ( $false
    | ~ spl75_8
    | ~ spl75_177 ),
    inference(subsumption_resolution,[],[f2036,f162]) ).

fof(f162,plain,
    e3 != e4,
    inference(cnf_transformation,[],[f1]) ).

fof(f2036,plain,
    ( e3 = e4
    | ~ spl75_8
    | ~ spl75_177 ),
    inference(backward_demodulation,[],[f1434,f605]) ).

fof(f605,plain,
    ( e3 = op(e4,e3)
    | ~ spl75_8 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f604,plain,
    ( spl75_8
  <=> e3 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_8])]) ).

fof(f1434,plain,
    ( e4 = op(e4,e3)
    | ~ spl75_177 ),
    inference(avatar_component_clause,[],[f1433]) ).

fof(f1433,plain,
    ( spl75_177
  <=> e4 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_177])]) ).

fof(f2035,plain,
    ( ~ spl75_17
    | ~ spl75_160 ),
    inference(avatar_contradiction_clause,[],[f2034]) ).

fof(f2034,plain,
    ( $false
    | ~ spl75_17
    | ~ spl75_160 ),
    inference(subsumption_resolution,[],[f2033,f166]) ).

fof(f166,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f1]) ).

fof(f2033,plain,
    ( e1 = e3
    | ~ spl75_17
    | ~ spl75_160 ),
    inference(backward_demodulation,[],[f1326,f646]) ).

fof(f646,plain,
    ( e1 = op(e4,e1)
    | ~ spl75_17 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f644,plain,
    ( spl75_17
  <=> e1 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_17])]) ).

fof(f1326,plain,
    ( e3 = op(e4,e1)
    | ~ spl75_160 ),
    inference(avatar_component_clause,[],[f1325]) ).

fof(f1325,plain,
    ( spl75_160
  <=> e3 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_160])]) ).

fof(f2017,plain,
    ( ~ spl75_16
    | ~ spl75_102 ),
    inference(avatar_contradiction_clause,[],[f2016]) ).

fof(f2016,plain,
    ( $false
    | ~ spl75_16
    | ~ spl75_102 ),
    inference(subsumption_resolution,[],[f2015,f163]) ).

fof(f163,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f1]) ).

fof(f2015,plain,
    ( e0 = e4
    | ~ spl75_16
    | ~ spl75_102 ),
    inference(forward_demodulation,[],[f642,f1035]) ).

fof(f1035,plain,
    ( e0 = op(e4,e4)
    | ~ spl75_102 ),
    inference(avatar_component_clause,[],[f1034]) ).

fof(f1034,plain,
    ( spl75_102
  <=> e0 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_102])]) ).

fof(f642,plain,
    ( e4 = op(e4,e4)
    | ~ spl75_16 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f640,plain,
    ( spl75_16
  <=> e4 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_16])]) ).

fof(f2014,plain,
    ( ~ spl75_98
    | ~ spl75_157
    | ~ spl75_170
    | spl75_196 ),
    inference(avatar_contradiction_clause,[],[f2013]) ).

fof(f2013,plain,
    ( $false
    | ~ spl75_98
    | ~ spl75_157
    | ~ spl75_170
    | spl75_196 ),
    inference(subsumption_resolution,[],[f2012,f1309]) ).

fof(f1309,plain,
    ( e2 = op(e1,e2)
    | ~ spl75_157 ),
    inference(avatar_component_clause,[],[f1308]) ).

fof(f1308,plain,
    ( spl75_157
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_157])]) ).

fof(f2012,plain,
    ( e2 != op(e1,e2)
    | ~ spl75_98
    | ~ spl75_170
    | spl75_196 ),
    inference(forward_demodulation,[],[f2011,f1390]) ).

fof(f2011,plain,
    ( e2 != op(op(e4,e2),e2)
    | ~ spl75_98
    | spl75_196 ),
    inference(forward_demodulation,[],[f1566,f1016]) ).

fof(f1016,plain,
    ( e2 = op(e2,e4)
    | ~ spl75_98 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f1015,plain,
    ( spl75_98
  <=> e2 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_98])]) ).

fof(f1566,plain,
    ( e2 != op(op(e4,e2),op(e2,e4))
    | spl75_196 ),
    inference(avatar_component_clause,[],[f1564]) ).

fof(f1564,plain,
    ( spl75_196
  <=> e2 = op(op(e4,e2),op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_196])]) ).

fof(f2008,plain,
    ( ~ spl75_39
    | ~ spl75_127
    | ~ spl75_166
    | spl75_195 ),
    inference(avatar_contradiction_clause,[],[f2007]) ).

fof(f2007,plain,
    ( $false
    | ~ spl75_39
    | ~ spl75_127
    | ~ spl75_166
    | spl75_195 ),
    inference(subsumption_resolution,[],[f2006,f742]) ).

fof(f742,plain,
    ( e0 = op(e2,e3)
    | ~ spl75_39 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f741,plain,
    ( spl75_39
  <=> e0 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_39])]) ).

fof(f2006,plain,
    ( e0 != op(e2,e3)
    | ~ spl75_127
    | ~ spl75_166
    | spl75_195 ),
    inference(forward_demodulation,[],[f2005,f1155]) ).

fof(f2005,plain,
    ( e0 != op(op(e4,e0),e3)
    | ~ spl75_166
    | spl75_195 ),
    inference(forward_demodulation,[],[f1562,f1366]) ).

fof(f1366,plain,
    ( e3 = op(e0,e4)
    | ~ spl75_166 ),
    inference(avatar_component_clause,[],[f1365]) ).

fof(f1365,plain,
    ( spl75_166
  <=> e3 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_166])]) ).

fof(f1562,plain,
    ( e0 != op(op(e4,e0),op(e0,e4))
    | spl75_195 ),
    inference(avatar_component_clause,[],[f1560]) ).

fof(f1560,plain,
    ( spl75_195
  <=> e0 = op(op(e4,e0),op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_195])]) ).

fof(f2003,plain,
    ( ~ spl75_4
    | ~ spl75_108
    | spl75_194 ),
    inference(avatar_contradiction_clause,[],[f2002]) ).

fof(f2002,plain,
    ( $false
    | ~ spl75_4
    | ~ spl75_108
    | spl75_194 ),
    inference(subsumption_resolution,[],[f2001,f1063]) ).

fof(f1063,plain,
    ( e3 = op(e2,e2)
    | ~ spl75_108 ),
    inference(avatar_component_clause,[],[f1062]) ).

fof(f1062,plain,
    ( spl75_108
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_108])]) ).

fof(f2001,plain,
    ( e3 != op(e2,e2)
    | ~ spl75_4
    | spl75_194 ),
    inference(forward_demodulation,[],[f1558,f587]) ).

fof(f587,plain,
    ( e2 = op(e3,e3)
    | ~ spl75_4 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f586,plain,
    ( spl75_4
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_4])]) ).

fof(f1558,plain,
    ( e3 != op(op(e3,e3),op(e3,e3))
    | spl75_194 ),
    inference(avatar_component_clause,[],[f1556]) ).

fof(f1556,plain,
    ( spl75_194
  <=> e3 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_194])]) ).

fof(f1998,plain,
    ( ~ spl75_89
    | ~ spl75_102
    | spl75_219 ),
    inference(avatar_contradiction_clause,[],[f1997]) ).

fof(f1997,plain,
    ( $false
    | ~ spl75_89
    | ~ spl75_102
    | spl75_219 ),
    inference(subsumption_resolution,[],[f1996,f1035]) ).

fof(f1996,plain,
    ( e0 != op(e4,e4)
    | ~ spl75_89
    | spl75_219 ),
    inference(forward_demodulation,[],[f1658,f974]) ).

fof(f974,plain,
    ( e4 = op(e0,e0)
    | ~ spl75_89 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f973,plain,
    ( spl75_89
  <=> e4 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_89])]) ).

fof(f1658,plain,
    ( e0 != op(op(e0,e0),op(e0,e0))
    | spl75_219 ),
    inference(avatar_component_clause,[],[f1656]) ).

fof(f1656,plain,
    ( spl75_219
  <=> e0 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_219])]) ).

fof(f1995,plain,
    ( ~ spl75_89
    | ~ spl75_102
    | spl75_217 ),
    inference(avatar_contradiction_clause,[],[f1994]) ).

fof(f1994,plain,
    ( $false
    | ~ spl75_89
    | ~ spl75_102
    | spl75_217 ),
    inference(subsumption_resolution,[],[f1993,f974]) ).

fof(f1993,plain,
    ( e4 != op(e0,e0)
    | ~ spl75_102
    | spl75_217 ),
    inference(forward_demodulation,[],[f1650,f1035]) ).

fof(f1650,plain,
    ( e4 != op(op(e4,e4),op(e4,e4))
    | spl75_217 ),
    inference(avatar_component_clause,[],[f1648]) ).

fof(f1648,plain,
    ( spl75_217
  <=> e4 = op(op(e4,e4),op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_217])]) ).

fof(f1989,plain,
    ( ~ spl75_39
    | ~ spl75_81
    | ~ spl75_166
    | spl75_216 ),
    inference(avatar_contradiction_clause,[],[f1988]) ).

fof(f1988,plain,
    ( $false
    | ~ spl75_39
    | ~ spl75_81
    | ~ spl75_166
    | spl75_216 ),
    inference(subsumption_resolution,[],[f1987,f1366]) ).

fof(f1987,plain,
    ( e3 != op(e0,e4)
    | ~ spl75_39
    | ~ spl75_81
    | spl75_216 ),
    inference(forward_demodulation,[],[f1986,f742]) ).

fof(f1986,plain,
    ( e3 != op(op(e2,e3),e4)
    | ~ spl75_81
    | spl75_216 ),
    inference(forward_demodulation,[],[f1646,f935]) ).

fof(f935,plain,
    ( e4 = op(e3,e2)
    | ~ spl75_81 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f934,plain,
    ( spl75_81
  <=> e4 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_81])]) ).

fof(f1646,plain,
    ( e3 != op(op(e2,e3),op(e3,e2))
    | spl75_216 ),
    inference(avatar_component_clause,[],[f1644]) ).

fof(f1644,plain,
    ( spl75_216
  <=> e3 = op(op(e2,e3),op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_216])]) ).

fof(f1985,plain,
    ( ~ spl75_4
    | ~ spl75_108
    | spl75_214 ),
    inference(avatar_contradiction_clause,[],[f1984]) ).

fof(f1984,plain,
    ( $false
    | ~ spl75_4
    | ~ spl75_108
    | spl75_214 ),
    inference(subsumption_resolution,[],[f1983,f587]) ).

fof(f1983,plain,
    ( e2 != op(e3,e3)
    | ~ spl75_108
    | spl75_214 ),
    inference(forward_demodulation,[],[f1638,f1063]) ).

fof(f1638,plain,
    ( e2 != op(op(e2,e2),op(e2,e2))
    | spl75_214 ),
    inference(avatar_component_clause,[],[f1636]) ).

fof(f1636,plain,
    ( spl75_214
  <=> e2 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_214])]) ).

fof(f1978,plain,
    ( ~ spl75_6
    | ~ spl75_93
    | ~ spl75_177
    | spl75_213 ),
    inference(avatar_contradiction_clause,[],[f1977]) ).

fof(f1977,plain,
    ( $false
    | ~ spl75_6
    | ~ spl75_93
    | ~ spl75_177
    | spl75_213 ),
    inference(subsumption_resolution,[],[f1976,f596]) ).

fof(f596,plain,
    ( e4 = op(e1,e4)
    | ~ spl75_6 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f595,plain,
    ( spl75_6
  <=> e4 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_6])]) ).

fof(f1976,plain,
    ( e4 != op(e1,e4)
    | ~ spl75_93
    | ~ spl75_177
    | spl75_213 ),
    inference(forward_demodulation,[],[f1975,f994]) ).

fof(f994,plain,
    ( e1 = op(e3,e4)
    | ~ spl75_93 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f993,plain,
    ( spl75_93
  <=> e1 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_93])]) ).

fof(f1975,plain,
    ( e4 != op(op(e3,e4),e4)
    | ~ spl75_177
    | spl75_213 ),
    inference(forward_demodulation,[],[f1634,f1434]) ).

fof(f1634,plain,
    ( e4 != op(op(e3,e4),op(e4,e3))
    | spl75_213 ),
    inference(avatar_component_clause,[],[f1632]) ).

fof(f1632,plain,
    ( spl75_213
  <=> e4 = op(op(e3,e4),op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_213])]) ).

fof(f1974,plain,
    ( ~ spl75_115
    | ~ spl75_129
    | ~ spl75_135
    | spl75_212 ),
    inference(avatar_contradiction_clause,[],[f1973]) ).

fof(f1973,plain,
    ( $false
    | ~ spl75_115
    | ~ spl75_129
    | ~ spl75_135
    | spl75_212 ),
    inference(subsumption_resolution,[],[f1972,f1095]) ).

fof(f1095,plain,
    ( e3 = op(e3,e0)
    | ~ spl75_115 ),
    inference(avatar_component_clause,[],[f1094]) ).

fof(f1094,plain,
    ( spl75_115
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_115])]) ).

fof(f1972,plain,
    ( e3 != op(e3,e0)
    | ~ spl75_129
    | ~ spl75_135
    | spl75_212 ),
    inference(forward_demodulation,[],[f1971,f1168]) ).

fof(f1168,plain,
    ( e3 = op(e1,e3)
    | ~ spl75_129 ),
    inference(avatar_component_clause,[],[f1167]) ).

fof(f1167,plain,
    ( spl75_129
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_129])]) ).

fof(f1971,plain,
    ( e3 != op(op(e1,e3),e0)
    | ~ spl75_135
    | spl75_212 ),
    inference(forward_demodulation,[],[f1630,f1199]) ).

fof(f1199,plain,
    ( e0 = op(e3,e1)
    | ~ spl75_135 ),
    inference(avatar_component_clause,[],[f1198]) ).

fof(f1198,plain,
    ( spl75_135
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_135])]) ).

fof(f1630,plain,
    ( e3 != op(op(e1,e3),op(e3,e1))
    | spl75_212 ),
    inference(avatar_component_clause,[],[f1628]) ).

fof(f1628,plain,
    ( spl75_212
  <=> e3 = op(op(e1,e3),op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_212])]) ).

fof(f1966,plain,
    ( ~ spl75_14
    | ~ spl75_115
    | ~ spl75_129
    | spl75_211 ),
    inference(avatar_contradiction_clause,[],[f1965]) ).

fof(f1965,plain,
    ( $false
    | ~ spl75_14
    | ~ spl75_115
    | ~ spl75_129
    | spl75_211 ),
    inference(subsumption_resolution,[],[f1964,f1168]) ).

fof(f1964,plain,
    ( e3 != op(e1,e3)
    | ~ spl75_14
    | ~ spl75_115
    | spl75_211 ),
    inference(forward_demodulation,[],[f1963,f632]) ).

fof(f632,plain,
    ( e1 = op(e0,e3)
    | ~ spl75_14 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f631,plain,
    ( spl75_14
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_14])]) ).

fof(f1963,plain,
    ( e3 != op(op(e0,e3),e3)
    | ~ spl75_115
    | spl75_211 ),
    inference(forward_demodulation,[],[f1626,f1095]) ).

fof(f1626,plain,
    ( e3 != op(op(e0,e3),op(e3,e0))
    | spl75_211 ),
    inference(avatar_component_clause,[],[f1624]) ).

fof(f1624,plain,
    ( spl75_211
  <=> e3 = op(op(e0,e3),op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_211])]) ).

fof(f1960,plain,
    ( ~ spl75_6
    | ~ spl75_160
    | ~ spl75_177
    | spl75_210 ),
    inference(avatar_contradiction_clause,[],[f1959]) ).

fof(f1959,plain,
    ( $false
    | ~ spl75_6
    | ~ spl75_160
    | ~ spl75_177
    | spl75_210 ),
    inference(subsumption_resolution,[],[f1958,f1434]) ).

fof(f1958,plain,
    ( e4 != op(e4,e3)
    | ~ spl75_6
    | ~ spl75_160
    | spl75_210 ),
    inference(forward_demodulation,[],[f1957,f596]) ).

fof(f1957,plain,
    ( e4 != op(op(e1,e4),e3)
    | ~ spl75_160
    | spl75_210 ),
    inference(forward_demodulation,[],[f1622,f1326]) ).

fof(f1622,plain,
    ( e4 != op(op(e1,e4),op(e4,e1))
    | spl75_210 ),
    inference(avatar_component_clause,[],[f1620]) ).

fof(f1620,plain,
    ( spl75_210
  <=> e4 = op(op(e1,e4),op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_210])]) ).

fof(f1956,plain,
    ( ~ spl75_73
    | ~ spl75_100
    | ~ spl75_191
    | spl75_209 ),
    inference(avatar_contradiction_clause,[],[f1955]) ).

fof(f1955,plain,
    ( $false
    | ~ spl75_73
    | ~ spl75_100
    | ~ spl75_191
    | spl75_209 ),
    inference(subsumption_resolution,[],[f1954,f898]) ).

fof(f898,plain,
    ( e1 = op(e2,e0)
    | ~ spl75_73 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f897,plain,
    ( spl75_73
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_73])]) ).

fof(f1954,plain,
    ( e1 != op(e2,e0)
    | ~ spl75_100
    | ~ spl75_191
    | spl75_209 ),
    inference(forward_demodulation,[],[f1953,f1025]) ).

fof(f1025,plain,
    ( e2 = op(e0,e1)
    | ~ spl75_100 ),
    inference(avatar_component_clause,[],[f1024]) ).

fof(f1024,plain,
    ( spl75_100
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_100])]) ).

fof(f1953,plain,
    ( e1 != op(op(e0,e1),e0)
    | ~ spl75_191
    | spl75_209 ),
    inference(forward_demodulation,[],[f1618,f1531]) ).

fof(f1531,plain,
    ( e0 = op(e1,e0)
    | ~ spl75_191 ),
    inference(avatar_component_clause,[],[f1530]) ).

fof(f1530,plain,
    ( spl75_191
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_191])]) ).

fof(f1618,plain,
    ( e1 != op(op(e0,e1),op(e1,e0))
    | spl75_209 ),
    inference(avatar_component_clause,[],[f1616]) ).

fof(f1616,plain,
    ( spl75_209
  <=> e1 = op(op(e0,e1),op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_209])]) ).

fof(f1950,plain,
    ( ~ spl75_85
    | ~ spl75_98
    | ~ spl75_170
    | spl75_208 ),
    inference(avatar_contradiction_clause,[],[f1949]) ).

fof(f1949,plain,
    ( $false
    | ~ spl75_85
    | ~ spl75_98
    | ~ spl75_170
    | spl75_208 ),
    inference(subsumption_resolution,[],[f1948,f955]) ).

fof(f955,plain,
    ( e4 = op(e2,e1)
    | ~ spl75_85 ),
    inference(avatar_component_clause,[],[f954]) ).

fof(f954,plain,
    ( spl75_85
  <=> e4 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_85])]) ).

fof(f1948,plain,
    ( e4 != op(e2,e1)
    | ~ spl75_98
    | ~ spl75_170
    | spl75_208 ),
    inference(forward_demodulation,[],[f1947,f1016]) ).

fof(f1947,plain,
    ( e4 != op(op(e2,e4),e1)
    | ~ spl75_170
    | spl75_208 ),
    inference(forward_demodulation,[],[f1614,f1390]) ).

fof(f1614,plain,
    ( e4 != op(op(e2,e4),op(e4,e2))
    | spl75_208 ),
    inference(avatar_component_clause,[],[f1612]) ).

fof(f1612,plain,
    ( spl75_208
  <=> e4 = op(op(e2,e4),op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_208])]) ).

fof(f1944,plain,
    ( ~ spl75_81
    | ~ spl75_127
    | ~ spl75_166
    | spl75_207 ),
    inference(avatar_contradiction_clause,[],[f1943]) ).

fof(f1943,plain,
    ( $false
    | ~ spl75_81
    | ~ spl75_127
    | ~ spl75_166
    | spl75_207 ),
    inference(subsumption_resolution,[],[f1942,f935]) ).

fof(f1942,plain,
    ( e4 != op(e3,e2)
    | ~ spl75_127
    | ~ spl75_166
    | spl75_207 ),
    inference(forward_demodulation,[],[f1941,f1366]) ).

fof(f1941,plain,
    ( e4 != op(op(e0,e4),e2)
    | ~ spl75_127
    | spl75_207 ),
    inference(forward_demodulation,[],[f1610,f1155]) ).

fof(f1610,plain,
    ( e4 != op(op(e0,e4),op(e4,e0))
    | spl75_207 ),
    inference(avatar_component_clause,[],[f1608]) ).

fof(f1608,plain,
    ( spl75_207
  <=> e4 = op(op(e0,e4),op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_207])]) ).

fof(f1938,plain,
    ( ~ spl75_73
    | ~ spl75_181
    | ~ spl75_191
    | spl75_206 ),
    inference(avatar_contradiction_clause,[],[f1937]) ).

fof(f1937,plain,
    ( $false
    | ~ spl75_73
    | ~ spl75_181
    | ~ spl75_191
    | spl75_206 ),
    inference(subsumption_resolution,[],[f1936,f1531]) ).

fof(f1936,plain,
    ( e0 != op(e1,e0)
    | ~ spl75_73
    | ~ spl75_181
    | spl75_206 ),
    inference(forward_demodulation,[],[f1935,f898]) ).

fof(f1935,plain,
    ( e0 != op(op(e2,e0),e0)
    | ~ spl75_181
    | spl75_206 ),
    inference(forward_demodulation,[],[f1606,f1463]) ).

fof(f1463,plain,
    ( e0 = op(e0,e2)
    | ~ spl75_181 ),
    inference(avatar_component_clause,[],[f1462]) ).

fof(f1462,plain,
    ( spl75_181
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_181])]) ).

fof(f1606,plain,
    ( e0 != op(op(e2,e0),op(e0,e2))
    | spl75_206 ),
    inference(avatar_component_clause,[],[f1604]) ).

fof(f1604,plain,
    ( spl75_206
  <=> e0 = op(op(e2,e0),op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_206])]) ).

fof(f1932,plain,
    ( ~ spl75_6
    | ~ spl75_93
    | ~ spl75_160
    | spl75_205 ),
    inference(avatar_contradiction_clause,[],[f1931]) ).

fof(f1931,plain,
    ( $false
    | ~ spl75_6
    | ~ spl75_93
    | ~ spl75_160
    | spl75_205 ),
    inference(subsumption_resolution,[],[f1930,f994]) ).

fof(f1930,plain,
    ( e1 != op(e3,e4)
    | ~ spl75_6
    | ~ spl75_160
    | spl75_205 ),
    inference(forward_demodulation,[],[f1929,f1326]) ).

fof(f1929,plain,
    ( e1 != op(op(e4,e1),e4)
    | ~ spl75_6
    | spl75_205 ),
    inference(forward_demodulation,[],[f1602,f596]) ).

fof(f1602,plain,
    ( e1 != op(op(e4,e1),op(e1,e4))
    | spl75_205 ),
    inference(avatar_component_clause,[],[f1600]) ).

fof(f1600,plain,
    ( spl75_205
  <=> e1 = op(op(e4,e1),op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_205])]) ).

fof(f1927,plain,
    ( spl75_204
    | ~ spl75_222 ),
    inference(avatar_contradiction_clause,[],[f1926]) ).

fof(f1926,plain,
    ( $false
    | spl75_204
    | ~ spl75_222 ),
    inference(subsumption_resolution,[],[f1925,f1693]) ).

fof(f1693,plain,
    ( e1 = op(e1,e1)
    | ~ spl75_222 ),
    inference(avatar_component_clause,[],[f1692]) ).

fof(f1692,plain,
    ( spl75_222
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_222])]) ).

fof(f1925,plain,
    ( e1 != op(e1,e1)
    | spl75_204
    | ~ spl75_222 ),
    inference(backward_demodulation,[],[f1598,f1693]) ).

fof(f1598,plain,
    ( e1 != op(op(e1,e1),op(e1,e1))
    | spl75_204 ),
    inference(avatar_component_clause,[],[f1596]) ).

fof(f1596,plain,
    ( spl75_204
  <=> e1 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_204])]) ).

fof(f1920,plain,
    ( ~ spl75_85
    | ~ spl75_98
    | ~ spl75_157
    | spl75_203 ),
    inference(avatar_contradiction_clause,[],[f1919]) ).

fof(f1919,plain,
    ( $false
    | ~ spl75_85
    | ~ spl75_98
    | ~ spl75_157
    | spl75_203 ),
    inference(subsumption_resolution,[],[f1918,f1016]) ).

fof(f1918,plain,
    ( e2 != op(e2,e4)
    | ~ spl75_85
    | ~ spl75_157
    | spl75_203 ),
    inference(forward_demodulation,[],[f1917,f1309]) ).

fof(f1917,plain,
    ( e2 != op(op(e1,e2),e4)
    | ~ spl75_85
    | spl75_203 ),
    inference(forward_demodulation,[],[f1594,f955]) ).

fof(f1594,plain,
    ( e2 != op(op(e1,e2),op(e2,e1))
    | spl75_203 ),
    inference(avatar_component_clause,[],[f1592]) ).

fof(f1592,plain,
    ( spl75_203
  <=> e2 = op(op(e1,e2),op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_203])]) ).

fof(f1916,plain,
    ( ~ spl75_100
    | ~ spl75_181
    | ~ spl75_191
    | spl75_202 ),
    inference(avatar_contradiction_clause,[],[f1915]) ).

fof(f1915,plain,
    ( $false
    | ~ spl75_100
    | ~ spl75_181
    | ~ spl75_191
    | spl75_202 ),
    inference(subsumption_resolution,[],[f1914,f1463]) ).

fof(f1914,plain,
    ( e0 != op(e0,e2)
    | ~ spl75_100
    | ~ spl75_191
    | spl75_202 ),
    inference(backward_demodulation,[],[f1913,f1531]) ).

fof(f1913,plain,
    ( e0 != op(op(e1,e0),e2)
    | ~ spl75_100
    | spl75_202 ),
    inference(forward_demodulation,[],[f1590,f1025]) ).

fof(f1590,plain,
    ( e0 != op(op(e1,e0),op(e0,e1))
    | spl75_202 ),
    inference(avatar_component_clause,[],[f1588]) ).

fof(f1588,plain,
    ( spl75_202
  <=> e0 = op(op(e1,e0),op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_202])]) ).

fof(f1910,plain,
    ( ~ spl75_14
    | ~ spl75_115
    | ~ spl75_135
    | spl75_201 ),
    inference(avatar_contradiction_clause,[],[f1909]) ).

fof(f1909,plain,
    ( $false
    | ~ spl75_14
    | ~ spl75_115
    | ~ spl75_135
    | spl75_201 ),
    inference(subsumption_resolution,[],[f1908,f1199]) ).

fof(f1908,plain,
    ( e0 != op(e3,e1)
    | ~ spl75_14
    | ~ spl75_115
    | spl75_201 ),
    inference(forward_demodulation,[],[f1907,f1095]) ).

fof(f1907,plain,
    ( e0 != op(op(e3,e0),e1)
    | ~ spl75_14
    | spl75_201 ),
    inference(forward_demodulation,[],[f1586,f632]) ).

fof(f1586,plain,
    ( e0 != op(op(e3,e0),op(e0,e3))
    | spl75_201 ),
    inference(avatar_component_clause,[],[f1584]) ).

fof(f1584,plain,
    ( spl75_201
  <=> e0 = op(op(e3,e0),op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_201])]) ).

fof(f1902,plain,
    ( ~ spl75_93
    | ~ spl75_160
    | ~ spl75_177
    | spl75_200 ),
    inference(avatar_contradiction_clause,[],[f1901]) ).

fof(f1901,plain,
    ( $false
    | ~ spl75_93
    | ~ spl75_160
    | ~ spl75_177
    | spl75_200 ),
    inference(subsumption_resolution,[],[f1900,f1326]) ).

fof(f1900,plain,
    ( e3 != op(e4,e1)
    | ~ spl75_93
    | ~ spl75_177
    | spl75_200 ),
    inference(forward_demodulation,[],[f1899,f1434]) ).

fof(f1899,plain,
    ( e3 != op(op(e4,e3),e1)
    | ~ spl75_93
    | spl75_200 ),
    inference(forward_demodulation,[],[f1582,f994]) ).

fof(f1582,plain,
    ( e3 != op(op(e4,e3),op(e3,e4))
    | spl75_200 ),
    inference(avatar_component_clause,[],[f1580]) ).

fof(f1580,plain,
    ( spl75_200
  <=> e3 = op(op(e4,e3),op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_200])]) ).

fof(f1898,plain,
    ( ~ spl75_85
    | ~ spl75_157
    | ~ spl75_170
    | spl75_199 ),
    inference(avatar_contradiction_clause,[],[f1897]) ).

fof(f1897,plain,
    ( $false
    | ~ spl75_85
    | ~ spl75_157
    | ~ spl75_170
    | spl75_199 ),
    inference(subsumption_resolution,[],[f1896,f1390]) ).

fof(f1896,plain,
    ( e1 != op(e4,e2)
    | ~ spl75_85
    | ~ spl75_157
    | spl75_199 ),
    inference(forward_demodulation,[],[f1895,f955]) ).

fof(f1895,plain,
    ( e1 != op(op(e2,e1),e2)
    | ~ spl75_157
    | spl75_199 ),
    inference(forward_demodulation,[],[f1578,f1309]) ).

fof(f1578,plain,
    ( e1 != op(op(e2,e1),op(e1,e2))
    | spl75_199 ),
    inference(avatar_component_clause,[],[f1576]) ).

fof(f1576,plain,
    ( spl75_199
  <=> e1 = op(op(e2,e1),op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_199])]) ).

fof(f1890,plain,
    ( ~ spl75_39
    | ~ spl75_81
    | ~ spl75_127
    | spl75_198 ),
    inference(avatar_contradiction_clause,[],[f1889]) ).

fof(f1889,plain,
    ( $false
    | ~ spl75_39
    | ~ spl75_81
    | ~ spl75_127
    | spl75_198 ),
    inference(subsumption_resolution,[],[f1888,f1155]) ).

fof(f1888,plain,
    ( e2 != op(e4,e0)
    | ~ spl75_39
    | ~ spl75_81
    | spl75_198 ),
    inference(forward_demodulation,[],[f1887,f935]) ).

fof(f1887,plain,
    ( e2 != op(op(e3,e2),e0)
    | ~ spl75_39
    | spl75_198 ),
    inference(forward_demodulation,[],[f1574,f742]) ).

fof(f1574,plain,
    ( e2 != op(op(e3,e2),op(e2,e3))
    | spl75_198 ),
    inference(avatar_component_clause,[],[f1572]) ).

fof(f1572,plain,
    ( spl75_198
  <=> e2 = op(op(e3,e2),op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_198])]) ).

fof(f1886,plain,
    ( ~ spl75_73
    | ~ spl75_100
    | ~ spl75_181
    | spl75_197 ),
    inference(avatar_contradiction_clause,[],[f1885]) ).

fof(f1885,plain,
    ( $false
    | ~ spl75_73
    | ~ spl75_100
    | ~ spl75_181
    | spl75_197 ),
    inference(subsumption_resolution,[],[f1884,f1025]) ).

fof(f1884,plain,
    ( e2 != op(e0,e1)
    | ~ spl75_73
    | ~ spl75_181
    | spl75_197 ),
    inference(backward_demodulation,[],[f1883,f1463]) ).

fof(f1883,plain,
    ( e2 != op(op(e0,e2),e1)
    | ~ spl75_73
    | spl75_197 ),
    inference(forward_demodulation,[],[f1570,f898]) ).

fof(f1570,plain,
    ( e2 != op(op(e0,e2),op(e2,e0))
    | spl75_197 ),
    inference(avatar_component_clause,[],[f1568]) ).

fof(f1568,plain,
    ( spl75_197
  <=> e2 = op(op(e0,e2),op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_197])]) ).

fof(f1880,plain,
    ( ~ spl75_14
    | ~ spl75_129
    | ~ spl75_135
    | spl75_218 ),
    inference(avatar_contradiction_clause,[],[f1879]) ).

fof(f1879,plain,
    ( $false
    | ~ spl75_14
    | ~ spl75_129
    | ~ spl75_135
    | spl75_218 ),
    inference(subsumption_resolution,[],[f1878,f632]) ).

fof(f1878,plain,
    ( e1 != op(e0,e3)
    | ~ spl75_129
    | ~ spl75_135
    | spl75_218 ),
    inference(backward_demodulation,[],[f1877,f1199]) ).

fof(f1877,plain,
    ( e1 != op(op(e3,e1),e3)
    | ~ spl75_129
    | spl75_218 ),
    inference(backward_demodulation,[],[f1654,f1168]) ).

fof(f1654,plain,
    ( e1 != op(op(e3,e1),op(e1,e3))
    | spl75_218 ),
    inference(avatar_component_clause,[],[f1652]) ).

fof(f1652,plain,
    ( spl75_218
  <=> e1 = op(op(e3,e1),op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_218])]) ).

fof(f1876,plain,
    spl75_181,
    inference(avatar_split_clause,[],[f571,f1462]) ).

fof(f571,plain,
    e0 = op(e0,e2),
    inference(cnf_transformation,[],[f2]) ).

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

fof(f1875,plain,
    spl75_129,
    inference(avatar_split_clause,[],[f568,f1167]) ).

fof(f568,plain,
    e3 = op(e1,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1874,plain,
    spl75_170,
    inference(avatar_split_clause,[],[f565,f1389]) ).

fof(f565,plain,
    e1 = op(e4,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1873,plain,
    spl75_222,
    inference(avatar_split_clause,[],[f560,f1692]) ).

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

fof(f1872,plain,
    spl75_100,
    inference(avatar_split_clause,[],[f557,f1024]) ).

fof(f557,plain,
    e2 = op(e0,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1871,plain,
    spl75_85,
    inference(avatar_split_clause,[],[f555,f954]) ).

fof(f555,plain,
    e4 = op(e2,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1870,plain,
    spl75_191,
    inference(avatar_split_clause,[],[f554,f1530]) ).

fof(f554,plain,
    e0 = op(e1,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1869,plain,
    spl75_39,
    inference(avatar_split_clause,[],[f547,f741]) ).

fof(f547,plain,
    e0 = op(e2,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1867,plain,
    ( ~ spl75_177
    | ~ spl75_215 ),
    inference(avatar_split_clause,[],[f308,f1640,f1433]) ).

fof(f1640,plain,
    ( spl75_215
  <=> sP46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_215])]) ).

fof(f308,plain,
    ( ~ sP46
    | e4 != op(e4,e3) ),
    inference(cnf_transformation,[],[f110]) ).

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

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

fof(f1866,plain,
    ( ~ spl75_100
    | ~ spl75_138 ),
    inference(avatar_split_clause,[],[f383,f1212,f1024]) ).

fof(f1212,plain,
    ( spl75_138
  <=> sP31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_138])]) ).

fof(f383,plain,
    ( ~ sP31
    | e2 != op(e0,e1) ),
    inference(cnf_transformation,[],[f125]) ).

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

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

fof(f1865,plain,
    ( ~ spl75_101
    | ~ spl75_181 ),
    inference(avatar_split_clause,[],[f508,f1462,f1029]) ).

fof(f1029,plain,
    ( spl75_101
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_101])]) ).

fof(f508,plain,
    ( e0 != op(e0,e2)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f150]) ).

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

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

fof(f1864,plain,
    spl75_157,
    inference(avatar_split_clause,[],[f551,f1308]) ).

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

fof(f1853,plain,
    ( ~ spl75_4
    | ~ spl75_119 ),
    inference(avatar_split_clause,[],[f373,f1114,f586]) ).

fof(f1114,plain,
    ( spl75_119
  <=> sP33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_119])]) ).

fof(f373,plain,
    ( ~ sP33
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f123]) ).

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

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

fof(f1846,plain,
    ( ~ spl75_79
    | ~ spl75_93 ),
    inference(avatar_split_clause,[],[f462,f993,f925]) ).

fof(f925,plain,
    ( spl75_79
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_79])]) ).

fof(f462,plain,
    ( e1 != op(e3,e4)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f141]) ).

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

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

fof(f1840,plain,
    ( ~ spl75_127
    | ~ spl75_190 ),
    inference(avatar_split_clause,[],[f212,f1525,f1154]) ).

fof(f1525,plain,
    ( spl75_190
  <=> sP65 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_190])]) ).

fof(f212,plain,
    ( ~ sP65
    | e2 != op(e4,e0) ),
    inference(cnf_transformation,[],[f91]) ).

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

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

fof(f1839,plain,
    ( ~ spl75_177
    | ~ spl75_161 ),
    inference(avatar_split_clause,[],[f402,f1332,f1433]) ).

fof(f1332,plain,
    ( spl75_161
  <=> sP27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_161])]) ).

fof(f402,plain,
    ( ~ sP27
    | e4 != op(e4,e3) ),
    inference(cnf_transformation,[],[f129]) ).

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

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

fof(f1838,plain,
    spl75_177,
    inference(avatar_split_clause,[],[f561,f1433]) ).

fof(f561,plain,
    e4 = op(e4,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1837,plain,
    ( ~ spl75_68
    | ~ spl75_102 ),
    inference(avatar_split_clause,[],[f517,f1034,f874]) ).

fof(f874,plain,
    ( spl75_68
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_68])]) ).

fof(f517,plain,
    ( e0 != op(e4,e4)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f152]) ).

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

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

fof(f1821,plain,
    spl75_98,
    inference(avatar_split_clause,[],[f570,f1015]) ).

fof(f570,plain,
    e2 = op(e2,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1818,plain,
    spl75_93,
    inference(avatar_split_clause,[],[f556,f993]) ).

fof(f556,plain,
    e1 = op(e3,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1816,plain,
    ( ~ spl75_170
    | ~ spl75_192 ),
    inference(avatar_split_clause,[],[f285,f1536,f1389]) ).

fof(f1536,plain,
    ( spl75_192
  <=> sP51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_192])]) ).

fof(f285,plain,
    ( ~ sP51
    | e1 != op(e4,e2) ),
    inference(cnf_transformation,[],[f105]) ).

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

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

fof(f1800,plain,
    ( ~ spl75_52
    | ~ spl75_191 ),
    inference(avatar_split_clause,[],[f442,f1530,f799]) ).

fof(f799,plain,
    ( spl75_52
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_52])]) ).

fof(f442,plain,
    ( e0 != op(e1,e0)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f137]) ).

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

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

fof(f1788,plain,
    ( ~ spl75_112
    | ~ spl75_73 ),
    inference(avatar_split_clause,[],[f496,f897,f1080]) ).

fof(f1080,plain,
    ( spl75_112
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_112])]) ).

fof(f496,plain,
    ( e1 != op(e2,e0)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f147]) ).

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

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

fof(f1787,plain,
    spl75_115,
    inference(avatar_split_clause,[],[f564,f1094]) ).

fof(f564,plain,
    e3 = op(e3,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1785,plain,
    ( ~ spl75_82
    | ~ spl75_89 ),
    inference(avatar_split_clause,[],[f323,f973,f940]) ).

fof(f940,plain,
    ( spl75_82
  <=> sP43 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_82])]) ).

fof(f323,plain,
    ( e4 != op(e0,e0)
    | ~ sP43 ),
    inference(cnf_transformation,[],[f113]) ).

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

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

fof(f1777,plain,
    ( ~ spl75_81
    | ~ spl75_77 ),
    inference(avatar_split_clause,[],[f349,f916,f934]) ).

fof(f916,plain,
    ( spl75_77
  <=> sP38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_77])]) ).

fof(f349,plain,
    ( ~ sP38
    | e4 != op(e3,e2) ),
    inference(cnf_transformation,[],[f118]) ).

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

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

fof(f1774,plain,
    ( ~ spl75_135
    | ~ spl75_12 ),
    inference(avatar_split_clause,[],[f191,f622,f1198]) ).

fof(f622,plain,
    ( spl75_12
  <=> sP70 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_12])]) ).

fof(f191,plain,
    ( ~ sP70
    | e0 != op(e3,e1) ),
    inference(cnf_transformation,[],[f86]) ).

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

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

fof(f1771,plain,
    ( ~ spl75_6
    | ~ spl75_143 ),
    inference(avatar_split_clause,[],[f211,f1239,f595]) ).

fof(f1239,plain,
    ( spl75_143
  <=> sP66 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_143])]) ).

fof(f211,plain,
    ( ~ sP66
    | e4 != op(e1,e4) ),
    inference(cnf_transformation,[],[f90]) ).

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

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

fof(f1770,plain,
    ( ~ spl75_114
    | ~ spl75_222 ),
    inference(avatar_split_clause,[],[f259,f1692,f1089]) ).

fof(f1089,plain,
    ( spl75_114
  <=> sP56 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_114])]) ).

fof(f259,plain,
    ( e1 != op(e1,e1)
    | ~ sP56 ),
    inference(cnf_transformation,[],[f100]) ).

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

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

fof(f1754,plain,
    ( ~ spl75_115
    | ~ spl75_146 ),
    inference(avatar_split_clause,[],[f270,f1252,f1094]) ).

fof(f1252,plain,
    ( spl75_146
  <=> sP54 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_146])]) ).

fof(f270,plain,
    ( ~ sP54
    | e3 != op(e3,e0) ),
    inference(cnf_transformation,[],[f102]) ).

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

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

fof(f1752,plain,
    ( ~ spl75_222
    | ~ spl75_173 ),
    inference(avatar_split_clause,[],[f456,f1408,f1692]) ).

fof(f1408,plain,
    ( spl75_173
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_173])]) ).

fof(f456,plain,
    ( ~ sP17
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f139]) ).

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

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

fof(f1747,plain,
    ( ~ spl75_38
    | ~ spl75_170 ),
    inference(avatar_split_clause,[],[f484,f1389,f736]) ).

fof(f736,plain,
    ( spl75_38
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_38])]) ).

fof(f484,plain,
    ( e1 != op(e4,e2)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f145]) ).

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

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

fof(f1745,plain,
    spl75_81,
    inference(avatar_split_clause,[],[f552,f934]) ).

fof(f552,plain,
    e4 = op(e3,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1732,plain,
    ( ~ spl75_66
    | ~ spl75_157 ),
    inference(avatar_split_clause,[],[f335,f1308,f864]) ).

fof(f864,plain,
    ( spl75_66
  <=> sP41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_66])]) ).

fof(f335,plain,
    ( e2 != op(e1,e2)
    | ~ sP41 ),
    inference(cnf_transformation,[],[f115]) ).

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

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

fof(f1730,plain,
    ( ~ spl75_157
    | ~ spl75_1 ),
    inference(avatar_split_clause,[],[f290,f573,f1308]) ).

fof(f573,plain,
    ( spl75_1
  <=> sP50 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_1])]) ).

fof(f290,plain,
    ( ~ sP50
    | e2 != op(e1,e2) ),
    inference(cnf_transformation,[],[f106]) ).

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

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

fof(f1727,plain,
    spl75_127,
    inference(avatar_split_clause,[],[f566,f1154]) ).

fof(f566,plain,
    e2 = op(e4,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1726,plain,
    ( ~ spl75_46
    | ~ spl75_108 ),
    inference(avatar_split_clause,[],[f344,f1062,f773]) ).

fof(f773,plain,
    ( spl75_46
  <=> sP39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_46])]) ).

fof(f344,plain,
    ( e3 != op(e2,e2)
    | ~ sP39 ),
    inference(cnf_transformation,[],[f117]) ).

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

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

fof(f1725,plain,
    ( ~ spl75_36
    | ~ spl75_129 ),
    inference(avatar_split_clause,[],[f450,f1167,f727]) ).

fof(f727,plain,
    ( spl75_36
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_36])]) ).

fof(f450,plain,
    ( e3 != op(e1,e3)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f138]) ).

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

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

fof(f1724,plain,
    spl75_108,
    inference(avatar_split_clause,[],[f567,f1062]) ).

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

fof(f1715,plain,
    ( ~ spl75_44
    | ~ spl75_166 ),
    inference(avatar_split_clause,[],[f498,f1365,f764]) ).

fof(f764,plain,
    ( spl75_44
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_44])]) ).

fof(f498,plain,
    ( e3 != op(e0,e4)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f148]) ).

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

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

fof(f1707,plain,
    ( ~ spl75_14
    | ~ spl75_131 ),
    inference(avatar_split_clause,[],[f252,f1177,f631]) ).

fof(f1177,plain,
    ( spl75_131
  <=> sP57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_131])]) ).

fof(f252,plain,
    ( ~ sP57
    | e1 != op(e0,e3) ),
    inference(cnf_transformation,[],[f99]) ).

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

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

fof(f1698,plain,
    ( ~ spl75_185
    | ~ spl75_115 ),
    inference(avatar_split_clause,[],[f171,f1094,f1493]) ).

fof(f1493,plain,
    ( spl75_185
  <=> sP74 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_185])]) ).

fof(f171,plain,
    ( e3 != op(e3,e0)
    | ~ sP74 ),
    inference(cnf_transformation,[],[f82]) ).

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

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

fof(f1695,plain,
    ( ~ spl75_222
    | ~ spl75_64 ),
    inference(avatar_split_clause,[],[f530,f854,f1692]) ).

fof(f854,plain,
    ( spl75_64
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_64])]) ).

fof(f530,plain,
    ( ~ sP2
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f154]) ).

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

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

fof(f1684,plain,
    ( ~ spl75_39
    | ~ spl75_121 ),
    inference(avatar_split_clause,[],[f303,f1124,f741]) ).

fof(f1124,plain,
    ( spl75_121
  <=> sP47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_121])]) ).

fof(f303,plain,
    ( ~ sP47
    | e0 != op(e2,e3) ),
    inference(cnf_transformation,[],[f109]) ).

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

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

fof(f1682,plain,
    ( ~ spl75_160
    | ~ spl75_62 ),
    inference(avatar_split_clause,[],[f421,f845,f1325]) ).

fof(f845,plain,
    ( spl75_62
  <=> sP24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_62])]) ).

fof(f421,plain,
    ( ~ sP24
    | e3 != op(e4,e1) ),
    inference(cnf_transformation,[],[f132]) ).

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

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

fof(f1669,plain,
    ( ~ spl75_181
    | ~ spl75_59 ),
    inference(avatar_split_clause,[],[f461,f832,f1462]) ).

fof(f832,plain,
    ( spl75_59
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_59])]) ).

fof(f461,plain,
    ( ~ sP16
    | e0 != op(e0,e2) ),
    inference(cnf_transformation,[],[f140]) ).

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

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

fof(f1667,plain,
    ( ~ spl75_154
    | ~ spl75_6 ),
    inference(avatar_split_clause,[],[f223,f595,f1293]) ).

fof(f1293,plain,
    ( spl75_154
  <=> sP63 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_154])]) ).

fof(f223,plain,
    ( e4 != op(e1,e4)
    | ~ sP63 ),
    inference(cnf_transformation,[],[f93]) ).

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

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

fof(f1664,plain,
    spl75_102,
    inference(avatar_split_clause,[],[f558,f1034]) ).

fof(f558,plain,
    e0 = op(e4,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1662,plain,
    spl75_166,
    inference(avatar_split_clause,[],[f548,f1365]) ).

fof(f548,plain,
    e3 = op(e0,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1661,plain,
    ( ~ spl75_102
    | ~ spl75_10 ),
    inference(avatar_split_clause,[],[f243,f613,f1034]) ).

fof(f613,plain,
    ( spl75_10
  <=> sP59 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_10])]) ).

fof(f243,plain,
    ( ~ sP59
    | e0 != op(e4,e4) ),
    inference(cnf_transformation,[],[f97]) ).

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

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

fof(f1660,plain,
    ( ~ spl75_98
    | ~ spl75_75 ),
    inference(avatar_split_clause,[],[f476,f907,f1015]) ).

fof(f907,plain,
    ( spl75_75
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_75])]) ).

fof(f476,plain,
    ( ~ sP13
    | e2 != op(e2,e4) ),
    inference(cnf_transformation,[],[f143]) ).

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

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

fof(f1659,plain,
    ( ~ spl75_194
    | spl75_5
    | spl75_142
    | spl75_79
    | spl75_41
    | spl75_27
    | spl75_12
    | spl75_131
    | spl75_161
    | spl75_182
    | spl75_112
    | spl75_77
    | spl75_67
    | spl75_57
    | spl75_43
    | spl75_40
    | spl75_44
    | spl75_82
    | spl75_20
    | ~ spl75_195
    | spl75_121
    | ~ spl75_196
    | ~ spl75_197
    | spl75_72
    | spl75_1
    | ~ spl75_198
    | spl75_75
    | spl75_147
    | ~ spl75_199
    | ~ spl75_200
    | spl75_66
    | spl75_38
    | ~ spl75_201
    | spl75_62
    | spl75_33
    | spl75_143
    | spl75_59
    | ~ spl75_202
    | ~ spl75_203
    | spl75_13
    | spl75_138
    | spl75_10
    | spl75_88
    | spl75_172
    | spl75_68
    | ~ spl75_204
    | spl75_36
    | spl75_158
    | spl75_146
    | spl75_54
    | spl75_109
    | spl75_125
    | spl75_192
    | spl75_31
    | ~ spl75_205
    | spl75_80
    | ~ spl75_206
    | ~ spl75_207
    | ~ spl75_191
    | ~ spl75_208
    | spl75_114
    | spl75_173
    | spl75_119
    | spl75_64
    | ~ spl75_209
    | ~ spl75_210
    | spl75_117
    | spl75_151
    | spl75_83
    | spl75_120
    | spl75_141
    | spl75_184
    | ~ spl75_211
    | spl75_171
    | ~ spl75_212
    | spl75_185
    | spl75_3
    | ~ spl75_213
    | spl75_71
    | spl75_99
    | spl75_46
    | spl75_154
    | spl75_52
    | spl75_136
    | spl75_110
    | spl75_104
    | spl75_101
    | ~ spl75_214
    | spl75_103
    | spl75_215
    | spl75_180
    | spl75_190
    | ~ spl75_216
    | ~ spl75_217
    | ~ spl75_218
    | ~ spl75_219
    | spl75_7
    | spl75_106
    | spl75_15
    | spl75_53
    | spl75_29 ),
    inference(avatar_split_clause,[],[f542,f696,f804,f636,f1052,f600,f1656,f1652,f1648,f1644,f1525,f1458,f1640,f1038,f1636,f1029,f1043,f1071,f1202,f799,f1293,f773,f1019,f887,f1632,f582,f1493,f1628,f1396,f1624,f1483,f1227,f1119,f945,f1278,f1105,f1620,f1616,f854,f1114,f1408,f1089,f1612,f1530,f1608,f1604,f930,f1600,f705,f1536,f1144,f1066,f809,f1252,f1312,f727,f1596,f874,f1402,f968,f613,f1212,f627,f1592,f1588,f832,f1239,f714,f845,f1584,f736,f864,f1580,f1576,f1257,f907,f1572,f573,f893,f1568,f1564,f1124,f1560,f657,f940,f764,f745,f759,f823,f869,f916,f1080,f1472,f1332,f1177,f622,f687,f750,f925,f1234,f591,f1556]) ).

fof(f591,plain,
    ( spl75_5
  <=> sP68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_5])]) ).

fof(f1234,plain,
    ( spl75_142
  <=> sP40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_142])]) ).

fof(f750,plain,
    ( spl75_41
  <=> sP42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_41])]) ).

fof(f687,plain,
    ( spl75_27
  <=> sP72 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_27])]) ).

fof(f1472,plain,
    ( spl75_182
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_182])]) ).

fof(f869,plain,
    ( spl75_67
  <=> sP20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_67])]) ).

fof(f823,plain,
    ( spl75_57
  <=> sP29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_57])]) ).

fof(f759,plain,
    ( spl75_43
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_43])]) ).

fof(f745,plain,
    ( spl75_40
  <=> sP36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_40])]) ).

fof(f657,plain,
    ( spl75_20
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_20])]) ).

fof(f893,plain,
    ( spl75_72
  <=> sP60 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_72])]) ).

fof(f1257,plain,
    ( spl75_147
  <=> sP48 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_147])]) ).

fof(f714,plain,
    ( spl75_33
  <=> sP71 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_33])]) ).

fof(f627,plain,
    ( spl75_13
  <=> sP35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_13])]) ).

fof(f968,plain,
    ( spl75_88
  <=> sP73 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_88])]) ).

fof(f1402,plain,
    ( spl75_172
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_172])]) ).

fof(f1312,plain,
    ( spl75_158
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_158])]) ).

fof(f809,plain,
    ( spl75_54
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_54])]) ).

fof(f1066,plain,
    ( spl75_109
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_109])]) ).

fof(f1144,plain,
    ( spl75_125
  <=> sP37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_125])]) ).

fof(f705,plain,
    ( spl75_31
  <=> sP32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_31])]) ).

fof(f930,plain,
    ( spl75_80
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_80])]) ).

fof(f1105,plain,
    ( spl75_117
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_117])]) ).

fof(f1278,plain,
    ( spl75_151
  <=> sP30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_151])]) ).

fof(f945,plain,
    ( spl75_83
  <=> sP45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_83])]) ).

fof(f1119,plain,
    ( spl75_120
  <=> sP52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_120])]) ).

fof(f1227,plain,
    ( spl75_141
  <=> sP58 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_141])]) ).

fof(f1483,plain,
    ( spl75_184
  <=> sP34 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_184])]) ).

fof(f1396,plain,
    ( spl75_171
  <=> sP64 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_171])]) ).

fof(f582,plain,
    ( spl75_3
  <=> sP55 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_3])]) ).

fof(f887,plain,
    ( spl75_71
  <=> sP53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_71])]) ).

fof(f1019,plain,
    ( spl75_99
  <=> sP49 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_99])]) ).

fof(f1202,plain,
    ( spl75_136
  <=> sP69 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_136])]) ).

fof(f1071,plain,
    ( spl75_110
  <=> sP21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_110])]) ).

fof(f1043,plain,
    ( spl75_104
  <=> sP44 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_104])]) ).

fof(f1038,plain,
    ( spl75_103
  <=> sP28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_103])]) ).

fof(f1458,plain,
    ( spl75_180
  <=> sP25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_180])]) ).

fof(f600,plain,
    ( spl75_7
  <=> sP62 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_7])]) ).

fof(f1052,plain,
    ( spl75_106
  <=> sP67 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_106])]) ).

fof(f636,plain,
    ( spl75_15
  <=> sP61 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_15])]) ).

fof(f804,plain,
    ( spl75_53
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_53])]) ).

fof(f696,plain,
    ( spl75_29
  <=> sP26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl75_29])]) ).

fof(f542,plain,
    ( sP26
    | sP12
    | sP61
    | sP67
    | sP62
    | e0 != op(op(e0,e0),op(e0,e0))
    | e1 != op(op(e3,e1),op(e1,e3))
    | e4 != op(op(e4,e4),op(e4,e4))
    | e3 != op(op(e2,e3),op(e3,e2))
    | sP65
    | sP25
    | sP46
    | sP28
    | e2 != op(op(e2,e2),op(e2,e2))
    | sP6
    | sP44
    | sP21
    | sP69
    | sP19
    | sP63
    | sP39
    | sP49
    | sP53
    | e4 != op(op(e3,e4),op(e4,e3))
    | sP55
    | sP74
    | e3 != op(op(e1,e3),op(e3,e1))
    | sP64
    | e3 != op(op(e0,e3),op(e3,e0))
    | sP34
    | sP58
    | sP52
    | sP45
    | sP30
    | sP22
    | e4 != op(op(e1,e4),op(e4,e1))
    | e1 != op(op(e0,e1),op(e1,e0))
    | sP2
    | sP33
    | sP17
    | sP56
    | e4 != op(op(e2,e4),op(e4,e2))
    | e0 != op(e1,e0)
    | e4 != op(op(e0,e4),op(e4,e0))
    | e0 != op(op(e2,e0),op(e0,e2))
    | sP10
    | e1 != op(op(e4,e1),op(e1,e4))
    | sP32
    | sP51
    | sP37
    | sP14
    | sP0
    | sP54
    | sP5
    | sP18
    | e1 != op(op(e1,e1),op(e1,e1))
    | sP4
    | sP23
    | sP73
    | sP59
    | sP31
    | sP35
    | e2 != op(op(e1,e2),op(e2,e1))
    | e0 != op(op(e1,e0),op(e0,e1))
    | sP16
    | sP66
    | sP71
    | sP24
    | e0 != op(op(e3,e0),op(e0,e3))
    | sP11
    | sP41
    | e3 != op(op(e4,e3),op(e3,e4))
    | e1 != op(op(e2,e1),op(e1,e2))
    | sP48
    | sP13
    | e2 != op(op(e3,e2),op(e2,e3))
    | sP50
    | sP60
    | e2 != op(op(e0,e2),op(e2,e0))
    | e2 != op(op(e4,e2),op(e2,e4))
    | sP47
    | e0 != op(op(e4,e0),op(e0,e4))
    | sP3
    | sP43
    | sP8
    | sP36
    | sP1
    | sP29
    | sP20
    | sP38
    | sP9
    | sP7
    | sP27
    | sP57
    | sP70
    | sP72
    | sP42
    | sP15
    | sP40
    | sP68
    | e3 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ( ( e0 != op(e3,e0)
      & e0 != op(e0,e0)
      & e0 != op(e4,e0)
      & e0 != op(e2,e0)
      & e0 != op(e1,e0) )
    | sP74
    | e4 != op(op(e2,e4),op(e4,e2))
    | sP73
    | sP72
    | sP71
    | sP70
    | e2 != op(op(e0,e2),op(e2,e0))
    | sP69
    | sP68
    | e2 != op(op(e1,e2),op(e2,e1))
    | sP67
    | sP66
    | e3 != op(op(e2,e3),op(e3,e2))
    | sP65
    | e1 != op(op(e4,e1),op(e1,e4))
    | e0 != op(op(e4,e0),op(e0,e4))
    | e3 != op(op(e3,e3),op(e3,e3))
    | sP64
    | sP63
    | sP62
    | sP61
    | e4 != op(op(e4,e4),op(e4,e4))
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | e0 != op(op(e2,e0),op(e0,e2))
    | e2 != op(op(e2,e2),op(e2,e2))
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | e2 != op(op(e4,e2),op(e2,e4))
    | e0 != op(op(e0,e0),op(e0,e0))
    | sP46
    | sP45
    | sP44
    | e3 != op(op(e1,e3),op(e3,e1))
    | sP43
    | sP42
    | sP41
    | e1 != op(op(e0,e1),op(e1,e0))
    | sP40
    | e1 != op(op(e1,e1),op(e1,e1))
    | sP39
    | e0 != op(op(e3,e0),op(e0,e3))
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | e4 != op(op(e1,e4),op(e4,e1))
    | sP31
    | sP30
    | e4 != op(op(e3,e4),op(e4,e3))
    | sP29
    | sP28
    | sP27
    | sP26
    | sP25
    | sP24
    | sP23
    | e2 != op(op(e3,e2),op(e2,e3))
    | sP22
    | sP21
    | e4 != op(op(e0,e4),op(e4,e0))
    | e1 != op(op(e3,e1),op(e1,e3))
    | sP20
    | sP19
    | sP18
    | sP17
    | e1 != op(op(e2,e1),op(e1,e2))
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | e3 != op(op(e4,e3),op(e3,e4))
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | e0 != op(op(e1,e0),op(e0,e1))
    | sP3
    | sP2
    | sP1
    | sP0
    | e3 != op(op(e0,e3),op(e3,e0)) ),
    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(f6,plain,
    ( ( e1 != op(e1,e2)
      & e1 != op(e3,e2)
      & e1 != op(e4,e2)
      & e1 != op(e2,e2)
      & e1 != op(e0,e2) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f1543,plain,
    ( ~ spl75_31
    | ~ spl75_98 ),
    inference(avatar_split_clause,[],[f380,f1015,f705]) ).

fof(f380,plain,
    ( e2 != op(e2,e4)
    | ~ sP32 ),
    inference(cnf_transformation,[],[f124]) ).

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

fof(f1542,plain,
    spl75_6,
    inference(avatar_split_clause,[],[f549,f595]) ).

fof(f549,plain,
    e4 = op(e1,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1533,plain,
    ( ~ spl75_110
    | ~ spl75_191 ),
    inference(avatar_split_clause,[],[f436,f1530,f1071]) ).

fof(f436,plain,
    ( e0 != op(e1,e0)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f135]) ).

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

fof(f1510,plain,
    spl75_160,
    inference(avatar_split_clause,[],[f550,f1325]) ).

fof(f550,plain,
    e3 = op(e4,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1490,plain,
    spl75_135,
    inference(avatar_split_clause,[],[f562,f1198]) ).

fof(f562,plain,
    e0 = op(e3,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1486,plain,
    ( ~ spl75_129
    | ~ spl75_184 ),
    inference(avatar_split_clause,[],[f369,f1483,f1167]) ).

fof(f369,plain,
    ( ~ sP34
    | e3 != op(e1,e3) ),
    inference(cnf_transformation,[],[f122]) ).

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

fof(f1481,plain,
    ( ~ spl75_27
    | ~ spl75_166 ),
    inference(avatar_split_clause,[],[f181,f1365,f687]) ).

fof(f181,plain,
    ( e3 != op(e0,e4)
    | ~ sP72 ),
    inference(cnf_transformation,[],[f84]) ).

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

fof(f1475,plain,
    ( ~ spl75_85
    | ~ spl75_182 ),
    inference(avatar_split_clause,[],[f504,f1472,f954]) ).

fof(f504,plain,
    ( ~ sP7
    | e4 != op(e2,e1) ),
    inference(cnf_transformation,[],[f149]) ).

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

fof(f1469,plain,
    ( ~ spl75_172
    | ~ spl75_160 ),
    inference(avatar_split_clause,[],[f426,f1325,f1402]) ).

fof(f426,plain,
    ( e3 != op(e4,e1)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f133]) ).

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

fof(f1465,plain,
    ( ~ spl75_180
    | ~ spl75_181 ),
    inference(avatar_split_clause,[],[f416,f1462,f1458]) ).

fof(f416,plain,
    ( e0 != op(e0,e2)
    | ~ sP25 ),
    inference(cnf_transformation,[],[f131]) ).

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

fof(f1443,plain,
    ( ~ spl75_4
    | ~ spl75_125 ),
    inference(avatar_split_clause,[],[f356,f1144,f586]) ).

fof(f356,plain,
    ( ~ sP37
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f119]) ).

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

fof(f1442,plain,
    ( ~ spl75_104
    | ~ spl75_100 ),
    inference(avatar_split_clause,[],[f321,f1024,f1043]) ).

fof(f321,plain,
    ( e2 != op(e0,e1)
    | ~ sP44 ),
    inference(cnf_transformation,[],[f112]) ).

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

fof(f1441,plain,
    ( ~ spl75_81
    | ~ spl75_141 ),
    inference(avatar_split_clause,[],[f251,f1227,f934]) ).

fof(f251,plain,
    ( ~ sP58
    | e4 != op(e3,e2) ),
    inference(cnf_transformation,[],[f98]) ).

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

fof(f1440,plain,
    ( ~ spl75_14
    | ~ spl75_41 ),
    inference(avatar_split_clause,[],[f331,f750,f631]) ).

fof(f331,plain,
    ( ~ sP42
    | e1 != op(e0,e3) ),
    inference(cnf_transformation,[],[f114]) ).

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

fof(f1438,plain,
    ( ~ spl75_108
    | ~ spl75_71 ),
    inference(avatar_split_clause,[],[f272,f887,f1062]) ).

fof(f272,plain,
    ( ~ sP53
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f103]) ).

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

fof(f1436,plain,
    ( ~ spl75_177
    | ~ spl75_151 ),
    inference(avatar_split_clause,[],[f387,f1278,f1433]) ).

fof(f387,plain,
    ( ~ sP30
    | e4 != op(e4,e3) ),
    inference(cnf_transformation,[],[f126]) ).

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

fof(f1424,plain,
    ( ~ spl75_171
    | ~ spl75_89 ),
    inference(avatar_split_clause,[],[f218,f973,f1396]) ).

fof(f218,plain,
    ( e4 != op(e0,e0)
    | ~ sP64 ),
    inference(cnf_transformation,[],[f92]) ).

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

fof(f1412,plain,
    ( ~ spl75_127
    | ~ spl75_147 ),
    inference(avatar_split_clause,[],[f300,f1257,f1154]) ).

fof(f300,plain,
    ( ~ sP48
    | e2 != op(e4,e0) ),
    inference(cnf_transformation,[],[f108]) ).

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

fof(f1392,plain,
    ( ~ spl75_54
    | ~ spl75_170 ),
    inference(avatar_split_clause,[],[f539,f1389,f809]) ).

fof(f539,plain,
    ( e1 != op(e4,e2)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f156]) ).

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

fof(f1368,plain,
    ( ~ spl75_166
    | ~ spl75_57 ),
    inference(avatar_split_clause,[],[f394,f823,f1365]) ).

fof(f394,plain,
    ( ~ sP29
    | e3 != op(e0,e4) ),
    inference(cnf_transformation,[],[f127]) ).

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

fof(f1355,plain,
    spl75_89,
    inference(avatar_split_clause,[],[f553,f973]) ).

fof(f553,plain,
    e4 = op(e0,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1330,plain,
    spl75_73,
    inference(avatar_split_clause,[],[f559,f897]) ).

fof(f559,plain,
    e1 = op(e2,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1328,plain,
    ( ~ spl75_160
    | ~ spl75_7 ),
    inference(avatar_split_clause,[],[f231,f600,f1325]) ).

fof(f231,plain,
    ( ~ sP62
    | e3 != op(e4,e1) ),
    inference(cnf_transformation,[],[f94]) ).

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

fof(f1323,plain,
    ( ~ spl75_106
    | ~ spl75_135 ),
    inference(avatar_split_clause,[],[f202,f1198,f1052]) ).

fof(f202,plain,
    ( e0 != op(e3,e1)
    | ~ sP67 ),
    inference(cnf_transformation,[],[f89]) ).

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

fof(f1315,plain,
    ( ~ spl75_157
    | ~ spl75_158 ),
    inference(avatar_split_clause,[],[f516,f1312,f1308]) ).

fof(f516,plain,
    ( ~ sP5
    | e2 != op(e1,e2) ),
    inference(cnf_transformation,[],[f151]) ).

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

fof(f1237,plain,
    ( ~ spl75_142
    | ~ spl75_39 ),
    inference(avatar_split_clause,[],[f339,f741,f1234]) ).

fof(f339,plain,
    ( e0 != op(e2,e3)
    | ~ sP40 ),
    inference(cnf_transformation,[],[f116]) ).

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

fof(f1205,plain,
    ( ~ spl75_135
    | ~ spl75_136 ),
    inference(avatar_split_clause,[],[f192,f1202,f1198]) ).

fof(f192,plain,
    ( ~ sP69
    | e0 != op(e3,e1) ),
    inference(cnf_transformation,[],[f87]) ).

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

fof(f1170,plain,
    ( ~ spl75_67
    | ~ spl75_129 ),
    inference(avatar_split_clause,[],[f441,f1167,f869]) ).

fof(f441,plain,
    ( e3 != op(e1,e3)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f136]) ).

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

fof(f1160,plain,
    ( ~ spl75_93
    | ~ spl75_88 ),
    inference(avatar_split_clause,[],[f176,f968,f993]) ).

fof(f176,plain,
    ( ~ sP73
    | e1 != op(e3,e4) ),
    inference(cnf_transformation,[],[f83]) ).

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

fof(f1159,plain,
    ( ~ spl75_73
    | ~ spl75_117 ),
    inference(avatar_split_clause,[],[f427,f1105,f897]) ).

fof(f427,plain,
    ( ~ sP22
    | e1 != op(e2,e0) ),
    inference(cnf_transformation,[],[f134]) ).

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

fof(f1157,plain,
    ( ~ spl75_127
    | ~ spl75_20 ),
    inference(avatar_split_clause,[],[f523,f657,f1154]) ).

fof(f523,plain,
    ( ~ sP3
    | e2 != op(e4,e0) ),
    inference(cnf_transformation,[],[f153]) ).

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

fof(f1122,plain,
    ( ~ spl75_120
    | ~ spl75_85 ),
    inference(avatar_split_clause,[],[f278,f954,f1119]) ).

fof(f278,plain,
    ( e4 != op(e2,e1)
    | ~ sP52 ),
    inference(cnf_transformation,[],[f104]) ).

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

fof(f1097,plain,
    ( ~ spl75_115
    | ~ spl75_43 ),
    inference(avatar_split_clause,[],[f536,f759,f1094]) ).

fof(f536,plain,
    ( ~ sP1
    | e3 != op(e3,e0) ),
    inference(cnf_transformation,[],[f155]) ).

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

fof(f1069,plain,
    ( ~ spl75_108
    | ~ spl75_109 ),
    inference(avatar_split_clause,[],[f470,f1066,f1062]) ).

fof(f470,plain,
    ( ~ sP14
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f142]) ).

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

fof(f1041,plain,
    ( ~ spl75_102
    | ~ spl75_103 ),
    inference(avatar_split_clause,[],[f400,f1038,f1034]) ).

fof(f400,plain,
    ( ~ sP28
    | e0 != op(e4,e4) ),
    inference(cnf_transformation,[],[f128]) ).

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

fof(f1027,plain,
    ( ~ spl75_100
    | ~ spl75_83 ),
    inference(avatar_split_clause,[],[f314,f945,f1024]) ).

fof(f314,plain,
    ( ~ sP45
    | e2 != op(e0,e1) ),
    inference(cnf_transformation,[],[f111]) ).

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

fof(f1022,plain,
    ( ~ spl75_98
    | ~ spl75_99 ),
    inference(avatar_split_clause,[],[f294,f1019,f1015]) ).

fof(f294,plain,
    ( ~ sP49
    | e2 != op(e2,e4) ),
    inference(cnf_transformation,[],[f107]) ).

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

fof(f996,plain,
    ( ~ spl75_29
    | ~ spl75_93 ),
    inference(avatar_split_clause,[],[f407,f993,f696]) ).

fof(f407,plain,
    ( e1 != op(e3,e4)
    | ~ sP26 ),
    inference(cnf_transformation,[],[f130]) ).

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

fof(f976,plain,
    ( ~ spl75_89
    | ~ spl75_33 ),
    inference(avatar_split_clause,[],[f186,f714,f973]) ).

fof(f186,plain,
    ( ~ sP71
    | e4 != op(e0,e0) ),
    inference(cnf_transformation,[],[f85]) ).

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

fof(f957,plain,
    ( ~ spl75_85
    | ~ spl75_53 ),
    inference(avatar_split_clause,[],[f477,f804,f954]) ).

fof(f477,plain,
    ( ~ sP12
    | e4 != op(e2,e1) ),
    inference(cnf_transformation,[],[f144]) ).

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

fof(f937,plain,
    ( ~ spl75_80
    | ~ spl75_81 ),
    inference(avatar_split_clause,[],[f489,f934,f930]) ).

fof(f489,plain,
    ( e4 != op(e3,e2)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f146]) ).

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

fof(f901,plain,
    spl75_14,
    inference(avatar_split_clause,[],[f563,f631]) ).

fof(f563,plain,
    e1 = op(e0,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f900,plain,
    ( ~ spl75_72
    | ~ spl75_73 ),
    inference(avatar_split_clause,[],[f238,f897,f893]) ).

fof(f238,plain,
    ( e1 != op(e2,e0)
    | ~ sP60 ),
    inference(cnf_transformation,[],[f96]) ).

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

fof(f891,plain,
    spl75_4,
    inference(avatar_split_clause,[],[f569,f586]) ).

fof(f569,plain,
    e2 = op(e3,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f748,plain,
    ( ~ spl75_39
    | ~ spl75_40 ),
    inference(avatar_split_clause,[],[f359,f745,f741]) ).

fof(f359,plain,
    ( ~ sP36
    | e0 != op(e2,e3) ),
    inference(cnf_transformation,[],[f120]) ).

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

fof(f655,plain,
    ( ~ spl75_15
    | spl75_16
    | spl75_8
    | spl75_17
    | spl75_18
    | spl75_19 ),
    inference(avatar_split_clause,[],[f236,f652,f648,f644,f604,f640,f636]) ).

fof(f236,plain,
    ( e0 = op(e4,e0)
    | e2 = op(e4,e2)
    | e1 = op(e4,e1)
    | e3 = op(e4,e3)
    | e4 = op(e4,e4)
    | ~ sP61 ),
    inference(cnf_transformation,[],[f95]) ).

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

fof(f634,plain,
    ( ~ spl75_13
    | ~ spl75_14 ),
    inference(avatar_split_clause,[],[f362,f631,f627]) ).

fof(f362,plain,
    ( e1 != op(e0,e3)
    | ~ sP35 ),
    inference(cnf_transformation,[],[f121]) ).

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

fof(f598,plain,
    ( ~ spl75_5
    | ~ spl75_6 ),
    inference(avatar_split_clause,[],[f200,f595,f591]) ).

fof(f200,plain,
    ( e4 != op(e1,e4)
    | ~ sP68 ),
    inference(cnf_transformation,[],[f88]) ).

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

fof(f589,plain,
    ( ~ spl75_3
    | ~ spl75_4 ),
    inference(avatar_split_clause,[],[f266,f586,f582]) ).

fof(f266,plain,
    ( e2 != op(e3,e3)
    | ~ sP55 ),
    inference(cnf_transformation,[],[f101]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ALG187+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n002.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 15:09:58 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 1.60/0.58  % (27242)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.60/0.58  % (27256)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.60/0.59  % (27249)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.83/0.59  % (27250)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.83/0.59  % (27256)Instruction limit reached!
% 1.83/0.59  % (27256)------------------------------
% 1.83/0.59  % (27256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.59  % (27256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.59  % (27256)Termination reason: Unknown
% 1.83/0.59  % (27256)Termination phase: Preprocessing 1
% 1.83/0.59  
% 1.83/0.59  % (27256)Memory used [KB]: 1407
% 1.83/0.59  % (27256)Time elapsed: 0.005 s
% 1.83/0.59  % (27256)Instructions burned: 2 (million)
% 1.83/0.59  % (27256)------------------------------
% 1.83/0.59  % (27256)------------------------------
% 1.83/0.60  % (27240)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.83/0.60  % (27240)Instruction limit reached!
% 1.83/0.60  % (27240)------------------------------
% 1.83/0.60  % (27240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.60  % (27240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.60  % (27240)Termination reason: Unknown
% 1.83/0.60  % (27240)Termination phase: Naming
% 1.83/0.60  
% 1.83/0.60  % (27240)Memory used [KB]: 1535
% 1.83/0.60  % (27240)Time elapsed: 0.004 s
% 1.83/0.60  % (27240)Instructions burned: 4 (million)
% 1.83/0.60  % (27240)------------------------------
% 1.83/0.60  % (27240)------------------------------
% 1.83/0.60  % (27241)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.83/0.60  % (27251)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.83/0.60  % (27249)Instruction limit reached!
% 1.83/0.60  % (27249)------------------------------
% 1.83/0.60  % (27249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.60  % (27249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.60  % (27249)Termination reason: Unknown
% 1.83/0.60  % (27249)Termination phase: Property scanning
% 1.83/0.60  
% 1.83/0.60  % (27249)Memory used [KB]: 1663
% 1.83/0.60  % (27249)Time elapsed: 0.011 s
% 1.83/0.60  % (27249)Instructions burned: 8 (million)
% 1.83/0.60  % (27249)------------------------------
% 1.83/0.60  % (27249)------------------------------
% 1.83/0.61  % (27242)Instruction limit reached!
% 1.83/0.61  % (27242)------------------------------
% 1.83/0.61  % (27242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.61  % (27242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.61  % (27242)Termination reason: Unknown
% 1.83/0.61  % (27242)Termination phase: Clausification
% 1.83/0.61  
% 1.83/0.61  % (27242)Memory used [KB]: 16247
% 1.83/0.61  % (27242)Time elapsed: 0.028 s
% 1.83/0.61  % (27242)Instructions burned: 13 (million)
% 1.83/0.61  % (27242)------------------------------
% 1.83/0.61  % (27242)------------------------------
% 1.83/0.61  % (27267)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.83/0.61  % (27243)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.83/0.61  % (27258)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.83/0.61  % (27261)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.83/0.62  % (27247)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.83/0.62  % (27264)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.83/0.62  % (27238)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.83/0.62  % (27239)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.83/0.62  % (27250)Instruction limit reached!
% 1.83/0.62  % (27250)------------------------------
% 1.83/0.62  % (27250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.62  % (27250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.62  % (27250)Termination reason: Unknown
% 1.83/0.62  % (27250)Termination phase: Saturation
% 1.83/0.62  
% 1.83/0.62  % (27250)Memory used [KB]: 1791
% 1.83/0.62  % (27250)Time elapsed: 0.011 s
% 1.83/0.62  % (27250)Instructions burned: 16 (million)
% 1.83/0.62  % (27250)------------------------------
% 1.83/0.62  % (27250)------------------------------
% 1.83/0.62  % (27244)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.83/0.62  % (27263)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.83/0.62  % (27253)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.83/0.62  % (27259)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.83/0.63  % (27239)Instruction limit reached!
% 1.83/0.63  % (27239)------------------------------
% 1.83/0.63  % (27239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.63  % (27239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.63  % (27239)Termination reason: Unknown
% 1.83/0.63  % (27239)Termination phase: Saturation
% 1.83/0.63  
% 1.83/0.63  % (27239)Memory used [KB]: 1791
% 1.83/0.63  % (27239)Time elapsed: 0.010 s
% 1.83/0.63  % (27239)Instructions burned: 13 (million)
% 1.83/0.63  % (27239)------------------------------
% 1.83/0.63  % (27239)------------------------------
% 1.83/0.63  % (27266)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.83/0.63  % (27254)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.83/0.63  % (27245)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.83/0.63  % (27266)Instruction limit reached!
% 1.83/0.63  % (27266)------------------------------
% 1.83/0.63  % (27266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.63  % (27266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.63  % (27266)Termination reason: Unknown
% 1.83/0.63  % (27266)Termination phase: Property scanning
% 1.83/0.63  
% 1.83/0.63  % (27266)Memory used [KB]: 1663
% 1.83/0.63  % (27266)Time elapsed: 0.007 s
% 1.83/0.63  % (27266)Instructions burned: 9 (million)
% 1.83/0.63  % (27266)------------------------------
% 1.83/0.63  % (27266)------------------------------
% 1.83/0.63  % (27260)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.83/0.63  % (27255)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.83/0.63  % (27252)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.83/0.64  % (27255)Instruction limit reached!
% 1.83/0.64  % (27255)------------------------------
% 1.83/0.64  % (27255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.64  % (27255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.64  % (27255)Termination reason: Unknown
% 1.83/0.64  % (27255)Termination phase: Naming
% 1.83/0.64  
% 1.83/0.64  % (27255)Memory used [KB]: 1535
% 1.83/0.64  % (27255)Time elapsed: 0.004 s
% 1.83/0.64  % (27255)Instructions burned: 4 (million)
% 1.83/0.64  % (27255)------------------------------
% 1.83/0.64  % (27255)------------------------------
% 1.83/0.64  % (27265)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.83/0.64  % (27252)Instruction limit reached!
% 1.83/0.64  % (27252)------------------------------
% 1.83/0.64  % (27252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.64  % (27252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.64  % (27252)Termination reason: Unknown
% 1.83/0.64  % (27252)Termination phase: Naming
% 1.83/0.64  % (27246)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.83/0.64  
% 1.83/0.64  % (27252)Memory used [KB]: 1535
% 1.83/0.64  % (27252)Time elapsed: 0.003 s
% 1.83/0.64  % (27252)Instructions burned: 3 (million)
% 1.83/0.64  % (27252)------------------------------
% 1.83/0.64  % (27252)------------------------------
% 1.83/0.64  % (27243)Instruction limit reached!
% 1.83/0.64  % (27243)------------------------------
% 1.83/0.64  % (27243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.64  % (27243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.64  % (27243)Termination reason: Unknown
% 1.83/0.64  % (27243)Termination phase: Saturation
% 1.83/0.64  
% 1.83/0.64  % (27243)Memory used [KB]: 1918
% 1.83/0.64  % (27243)Time elapsed: 0.012 s
% 1.83/0.64  % (27243)Instructions burned: 15 (million)
% 1.83/0.64  % (27243)------------------------------
% 1.83/0.64  % (27243)------------------------------
% 1.83/0.64  % (27253)Instruction limit reached!
% 1.83/0.64  % (27253)------------------------------
% 1.83/0.64  % (27253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.64  % (27253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.64  % (27253)Termination reason: Unknown
% 1.83/0.64  % (27253)Termination phase: Property scanning
% 1.83/0.64  
% 1.83/0.64  % (27253)Memory used [KB]: 1663
% 1.83/0.64  % (27253)Time elapsed: 0.006 s
% 1.83/0.64  % (27253)Instructions burned: 8 (million)
% 1.83/0.64  % (27253)------------------------------
% 1.83/0.64  % (27253)------------------------------
% 1.83/0.64  % (27262)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.83/0.64  % (27248)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.83/0.64  % (27257)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 2.32/0.66  % (27258)Instruction limit reached!
% 2.32/0.66  % (27258)------------------------------
% 2.32/0.66  % (27258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.66  % (27258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.66  % (27258)Termination reason: Unknown
% 2.32/0.66  % (27258)Termination phase: Property scanning
% 2.32/0.66  
% 2.32/0.66  % (27258)Memory used [KB]: 2046
% 2.32/0.66  % (27258)Time elapsed: 0.019 s
% 2.32/0.66  % (27258)Instructions burned: 30 (million)
% 2.32/0.66  % (27258)------------------------------
% 2.32/0.66  % (27258)------------------------------
% 2.32/0.67  % (27248)Instruction limit reached!
% 2.32/0.67  % (27248)------------------------------
% 2.32/0.67  % (27248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.67  % (27248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.67  % (27248)Termination reason: Unknown
% 2.32/0.67  % (27248)Termination phase: Property scanning
% 2.32/0.67  
% 2.32/0.67  % (27248)Memory used [KB]: 1791
% 2.32/0.67  % (27248)Time elapsed: 0.010 s
% 2.32/0.67  % (27248)Instructions burned: 13 (million)
% 2.32/0.67  % (27248)------------------------------
% 2.32/0.67  % (27248)------------------------------
% 2.32/0.67  % (27257)Instruction limit reached!
% 2.32/0.67  % (27257)------------------------------
% 2.32/0.67  % (27257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.67  % (27257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.67  % (27257)Termination reason: Unknown
% 2.32/0.67  % (27257)Termination phase: Property scanning
% 2.32/0.67  
% 2.32/0.67  % (27257)Memory used [KB]: 1791
% 2.32/0.67  % (27257)Time elapsed: 0.009 s
% 2.32/0.67  % (27257)Instructions burned: 11 (million)
% 2.32/0.67  % (27257)------------------------------
% 2.32/0.67  % (27257)------------------------------
% 2.32/0.68  % (27247)Instruction limit reached!
% 2.32/0.68  % (27247)------------------------------
% 2.32/0.68  % (27247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.68  % (27247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.68  % (27247)Termination reason: Unknown
% 2.32/0.68  % (27247)Termination phase: Saturation
% 2.32/0.68  
% 2.32/0.68  % (27247)Memory used [KB]: 6652
% 2.32/0.68  % (27247)Time elapsed: 0.027 s
% 2.32/0.68  % (27247)Instructions burned: 34 (million)
% 2.32/0.68  % (27247)------------------------------
% 2.32/0.68  % (27247)------------------------------
% 2.32/0.68  % (27244)First to succeed.
% 2.32/0.69  % (27265)Instruction limit reached!
% 2.32/0.69  % (27265)------------------------------
% 2.32/0.69  % (27265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.69  % (27265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.69  % (27265)Termination reason: Unknown
% 2.32/0.69  % (27265)Termination phase: Saturation
% 2.32/0.69  
% 2.32/0.69  % (27265)Memory used [KB]: 7036
% 2.32/0.69  % (27265)Time elapsed: 0.252 s
% 2.32/0.69  % (27265)Instructions burned: 26 (million)
% 2.32/0.69  % (27265)------------------------------
% 2.32/0.69  % (27265)------------------------------
% 2.52/0.71  % (27262)Refutation not found, incomplete strategy% (27262)------------------------------
% 2.52/0.71  % (27262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.71  % (27262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.71  % (27262)Termination reason: Refutation not found, incomplete strategy
% 2.52/0.71  
% 2.52/0.71  % (27262)Memory used [KB]: 7164
% 2.52/0.71  % (27262)Time elapsed: 0.248 s
% 2.52/0.71  % (27262)Instructions burned: 25 (million)
% 2.52/0.71  % (27262)------------------------------
% 2.52/0.71  % (27262)------------------------------
% 2.52/0.73  % (27244)Refutation found. Thanks to Tanya!
% 2.52/0.73  % SZS status Theorem for theBenchmark
% 2.52/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 2.52/0.73  % (27244)------------------------------
% 2.52/0.73  % (27244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.73  % (27244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.73  % (27244)Termination reason: Refutation
% 2.52/0.73  
% 2.52/0.73  % (27244)Memory used [KB]: 7547
% 2.52/0.73  % (27244)Time elapsed: 0.263 s
% 2.52/0.73  % (27244)Instructions burned: 27 (million)
% 2.52/0.73  % (27244)------------------------------
% 2.52/0.73  % (27244)------------------------------
% 2.52/0.73  % (27237)Success in time 0.364 s
%------------------------------------------------------------------------------