%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ALG090+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n020.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 : Sun May  5 04:18:39 EDT 2024

% Result   : Theorem 0.14s 0.42s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  251
% Syntax   : Number of formulae    :  889 (  92 unt;   0 def)
%            Number of atoms       : 4100 (2541 equ)
%            Maximal formula atoms :  415 (   4 avg)
%            Number of connectives : 5631 (2420   ~;1860   |;1185   &)
%                                         ( 166 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   96 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :  249 ( 247 usr; 248 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1881,plain,
    $false,
    inference(avatar_sat_refutation,[],[f829,f834,f839,f844,f849,f854,f859,f864,f869,f874,f879,f884,f889,f894,f899,f904,f909,f914,f919,f924,f929,f934,f939,f944,f949,f954,f959,f964,f969,f974,f979,f984,f989,f994,f999,f1004,f1013,f1023,f1029,f1034,f1043,f1053,f1063,f1073,f1083,f1093,f1103,f1113,f1119,f1124,f1133,f1143,f1153,f1163,f1173,f1183,f1193,f1203,f1213,f1223,f1229,f1234,f1243,f1249,f1258,f1264,f1273,f1283,f1293,f1299,f1304,f1313,f1319,f1328,f1334,f1339,f1348,f1358,f1364,f1369,f1374,f1379,f1384,f1393,f1399,f1408,f1414,f1419,f1424,f1433,f1443,f1449,f1458,f1468,f1474,f1479,f1488,f1498,f1508,f1518,f1528,f1538,f1548,f1558,f1564,f1573,f1579,f1588,f1594,f1603,f1609,f1618,f1628,f1638,f1648,f1654,f1655,f1658,f1661,f1666,f1671,f1674,f1678,f1682,f1685,f1688,f1692,f1696,f1701,f1706,f1710,f1714,f1717,f1720,f1724,f1728,f1733,f1737,f1741,f1744,f1748,f1751,f1754,f1760,f1766,f1770,f1775,f1781,f1787,f1791,f1795,f1800,f1805,f1811,f1817,f1822,f1827,f1831,f1835,f1838,f1841,f1847,f1852,f1856,f1862,f1867,f1871,f1874,f1877,f1880]) ).

fof(f1880,plain,
    ( ~ spl81_37
    | ~ spl81_32 ),
    inference(avatar_split_clause,[],[f1879,f981,f1006]) ).

fof(f1006,plain,
    ( spl81_37
  <=> sP80 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_37])]) ).

fof(f981,plain,
    ( spl81_32
  <=> e4 = op(unit,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_32])]) ).

fof(f1879,plain,
    ( ~ sP80
    | ~ spl81_32 ),
    inference(trivial_inequality_removal,[],[f1878]) ).

fof(f1878,plain,
    ( e4 != e4
    | ~ sP80
    | ~ spl81_32 ),
    inference(forward_demodulation,[],[f612,f983]) ).

fof(f983,plain,
    ( e4 = op(unit,e4)
    | ~ spl81_32 ),
    inference(avatar_component_clause,[],[f981]) ).

fof(f612,plain,
    ( e4 != op(unit,e4)
    | ~ sP80 ),
    inference(definition_unfolding,[],[f170,f576]) ).

fof(f576,plain,
    e0 = unit,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    e0 = unit,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(f170,plain,
    ( e4 != op(e0,e4)
    | ~ sP80 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ( ( e4 != op(e4,e4)
      & e4 != op(e3,e4)
      & e4 != op(e2,e4)
      & e4 != op(e1,e4)
      & e4 != op(e0,e4) )
    | ~ sP80 ),
    inference(nnf_transformation,[],[f87]) ).

fof(f87,plain,
    ( ( e4 != op(e4,e4)
      & e4 != op(e3,e4)
      & e4 != op(e2,e4)
      & e4 != op(e1,e4)
      & e4 != op(e0,e4) )
    | ~ sP80 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).

fof(f1877,plain,
    ( ~ spl81_166
    | ~ spl81_36 ),
    inference(avatar_split_clause,[],[f1876,f1001,f1651]) ).

fof(f1651,plain,
    ( spl81_166
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_166])]) ).

fof(f1001,plain,
    ( spl81_36
  <=> unit = op(unit,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_36])]) ).

fof(f1876,plain,
    ( ~ sP0
    | ~ spl81_36 ),
    inference(trivial_inequality_removal,[],[f1875]) ).

fof(f1875,plain,
    ( unit != unit
    | ~ sP0
    | ~ spl81_36 ),
    inference(forward_demodulation,[],[f804,f1003]) ).

fof(f1003,plain,
    ( unit = op(unit,unit)
    | ~ spl81_36 ),
    inference(avatar_component_clause,[],[f1001]) ).

fof(f804,plain,
    ( unit != op(unit,unit)
    | ~ sP0 ),
    inference(definition_unfolding,[],[f570,f576,f576,f576]) ).

fof(f570,plain,
    ( e0 != op(e0,e0)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,plain,
    ( ( e0 != op(e4,e4)
      & e0 != op(e3,e3)
      & e0 != op(e2,e2)
      & e0 != op(e1,e1)
      & e0 != op(e0,e0) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( e0 != op(e4,e4)
      & e0 != op(e3,e3)
      & e0 != op(e2,e2)
      & e0 != op(e1,e1)
      & e0 != op(e0,e0) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f1874,plain,
    ( ~ spl81_164
    | ~ spl81_36 ),
    inference(avatar_split_clause,[],[f1873,f1001,f1641]) ).

fof(f1641,plain,
    ( spl81_164
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_164])]) ).

fof(f1873,plain,
    ( ~ sP5
    | ~ spl81_36 ),
    inference(trivial_inequality_removal,[],[f1872]) ).

fof(f1872,plain,
    ( unit != unit
    | ~ sP5
    | ~ spl81_36 ),
    inference(forward_demodulation,[],[f795,f1003]) ).

fof(f795,plain,
    ( unit != op(unit,unit)
    | ~ sP5 ),
    inference(definition_unfolding,[],[f545,f576,f576,f576]) ).

fof(f545,plain,
    ( e0 != op(e0,e0)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,plain,
    ( ( e4 != op(e0,e0)
      & e3 != op(e0,e0)
      & e2 != op(e0,e0)
      & e1 != op(e0,e0)
      & e0 != op(e0,e0) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f12]) ).

fof(f12,plain,
    ( ( e4 != op(e0,e0)
      & e3 != op(e0,e0)
      & e2 != op(e0,e0)
      & e1 != op(e0,e0)
      & e0 != op(e0,e0) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f1871,plain,
    ( ~ spl81_162
    | ~ spl81_35 ),
    inference(avatar_split_clause,[],[f1870,f996,f1631]) ).

fof(f1631,plain,
    ( spl81_162
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_162])]) ).

fof(f996,plain,
    ( spl81_35
  <=> e1 = op(unit,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_35])]) ).

fof(f1870,plain,
    ( ~ sP6
    | ~ spl81_35 ),
    inference(trivial_inequality_removal,[],[f1869]) ).

fof(f1869,plain,
    ( e1 != e1
    | ~ sP6
    | ~ spl81_35 ),
    inference(forward_demodulation,[],[f789,f998]) ).

fof(f998,plain,
    ( e1 = op(unit,e1)
    | ~ spl81_35 ),
    inference(avatar_component_clause,[],[f996]) ).

fof(f789,plain,
    ( e1 != op(unit,e1)
    | ~ sP6 ),
    inference(definition_unfolding,[],[f541,f576]) ).

fof(f541,plain,
    ( e1 != op(e0,e1)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f163]) ).

fof(f163,plain,
    ( ( e4 != op(e0,e1)
      & e3 != op(e0,e1)
      & e2 != op(e0,e1)
      & e1 != op(e0,e1)
      & e0 != op(e0,e1) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f13]) ).

fof(f13,plain,
    ( ( e4 != op(e0,e1)
      & e3 != op(e0,e1)
      & e2 != op(e0,e1)
      & e1 != op(e0,e1)
      & e0 != op(e0,e1) )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f1867,plain,
    ( ~ spl81_160
    | ~ spl81_34 ),
    inference(avatar_split_clause,[],[f1866,f991,f1621]) ).

fof(f1621,plain,
    ( spl81_160
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_160])]) ).

fof(f991,plain,
    ( spl81_34
  <=> e2 = op(unit,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_34])]) ).

fof(f1866,plain,
    ( ~ sP7
    | ~ spl81_34 ),
    inference(trivial_inequality_removal,[],[f1865]) ).

fof(f1865,plain,
    ( e2 != e2
    | ~ sP7
    | ~ spl81_34 ),
    inference(forward_demodulation,[],[f783,f993]) ).

fof(f993,plain,
    ( e2 = op(unit,e2)
    | ~ spl81_34 ),
    inference(avatar_component_clause,[],[f991]) ).

fof(f783,plain,
    ( e2 != op(unit,e2)
    | ~ sP7 ),
    inference(definition_unfolding,[],[f537,f576]) ).

fof(f537,plain,
    ( e2 != op(e0,e2)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f162]) ).

fof(f162,plain,
    ( ( e4 != op(e0,e2)
      & e3 != op(e0,e2)
      & e2 != op(e0,e2)
      & e1 != op(e0,e2)
      & e0 != op(e0,e2) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f14]) ).

fof(f14,plain,
    ( ( e4 != op(e0,e2)
      & e3 != op(e0,e2)
      & e2 != op(e0,e2)
      & e1 != op(e0,e2)
      & e0 != op(e0,e2) )
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f1862,plain,
    ( ~ spl81_158
    | ~ spl81_33 ),
    inference(avatar_split_clause,[],[f1861,f986,f1611]) ).

fof(f1611,plain,
    ( spl81_158
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_158])]) ).

fof(f986,plain,
    ( spl81_33
  <=> e3 = op(unit,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_33])]) ).

fof(f1861,plain,
    ( ~ sP8
    | ~ spl81_33 ),
    inference(trivial_inequality_removal,[],[f1860]) ).

fof(f1860,plain,
    ( e3 != e3
    | ~ sP8
    | ~ spl81_33 ),
    inference(forward_demodulation,[],[f777,f988]) ).

fof(f988,plain,
    ( e3 = op(unit,e3)
    | ~ spl81_33 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f777,plain,
    ( e3 != op(unit,e3)
    | ~ sP8 ),
    inference(definition_unfolding,[],[f533,f576]) ).

fof(f533,plain,
    ( e3 != op(e0,e3)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f161]) ).

fof(f161,plain,
    ( ( e4 != op(e0,e3)
      & e3 != op(e0,e3)
      & e2 != op(e0,e3)
      & e1 != op(e0,e3)
      & e0 != op(e0,e3) )
    | ~ sP8 ),
    inference(nnf_transformation,[],[f15]) ).

fof(f15,plain,
    ( ( e4 != op(e0,e3)
      & e3 != op(e0,e3)
      & e2 != op(e0,e3)
      & e1 != op(e0,e3)
      & e0 != op(e0,e3) )
    | ~ sP8 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f1856,plain,
    ( ~ spl81_155
    | ~ spl81_31 ),
    inference(avatar_split_clause,[],[f1855,f976,f1596]) ).

fof(f1596,plain,
    ( spl81_155
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_155])]) ).

fof(f976,plain,
    ( spl81_31
  <=> e1 = op(e1,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_31])]) ).

fof(f1855,plain,
    ( ~ sP10
    | ~ spl81_31 ),
    inference(trivial_inequality_removal,[],[f1854]) ).

fof(f1854,plain,
    ( e1 != e1
    | ~ sP10
    | ~ spl81_31 ),
    inference(forward_demodulation,[],[f769,f978]) ).

fof(f978,plain,
    ( e1 = op(e1,unit)
    | ~ spl81_31 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f769,plain,
    ( e1 != op(e1,unit)
    | ~ sP10 ),
    inference(definition_unfolding,[],[f521,f576]) ).

fof(f521,plain,
    ( e1 != op(e1,e0)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,plain,
    ( ( e4 != op(e1,e0)
      & e3 != op(e1,e0)
      & e2 != op(e1,e0)
      & e1 != op(e1,e0)
      & e0 != op(e1,e0) )
    | ~ sP10 ),
    inference(nnf_transformation,[],[f17]) ).

fof(f17,plain,
    ( ( e4 != op(e1,e0)
      & e3 != op(e1,e0)
      & e2 != op(e1,e0)
      & e1 != op(e1,e0)
      & e0 != op(e1,e0) )
    | ~ sP10 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f1852,plain,
    ( ~ spl81_152
    | ~ spl81_29 ),
    inference(avatar_split_clause,[],[f1851,f966,f1581]) ).

fof(f1581,plain,
    ( spl81_152
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_152])]) ).

fof(f966,plain,
    ( spl81_29
  <=> e2 = op(e2,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_29])]) ).

fof(f1851,plain,
    ( ~ sP15
    | ~ spl81_29 ),
    inference(trivial_inequality_removal,[],[f1850]) ).

fof(f1850,plain,
    ( e2 != e2
    | ~ sP15
    | ~ spl81_29 ),
    inference(forward_demodulation,[],[f759,f968]) ).

fof(f968,plain,
    ( e2 = op(e2,unit)
    | ~ spl81_29 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f759,plain,
    ( e2 != op(e2,unit)
    | ~ sP15 ),
    inference(definition_unfolding,[],[f497,f576]) ).

fof(f497,plain,
    ( e2 != op(e2,e0)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ( ( e4 != op(e2,e0)
      & e3 != op(e2,e0)
      & e2 != op(e2,e0)
      & e1 != op(e2,e0)
      & e0 != op(e2,e0) )
    | ~ sP15 ),
    inference(nnf_transformation,[],[f22]) ).

fof(f22,plain,
    ( ( e4 != op(e2,e0)
      & e3 != op(e2,e0)
      & e2 != op(e2,e0)
      & e1 != op(e2,e0)
      & e0 != op(e2,e0) )
    | ~ sP15 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f1847,plain,
    ( ~ spl81_149
    | ~ spl81_27 ),
    inference(avatar_split_clause,[],[f1846,f956,f1566]) ).

fof(f1566,plain,
    ( spl81_149
  <=> sP20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_149])]) ).

fof(f956,plain,
    ( spl81_27
  <=> e3 = op(e3,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_27])]) ).

fof(f1846,plain,
    ( ~ sP20
    | ~ spl81_27 ),
    inference(trivial_inequality_removal,[],[f1845]) ).

fof(f1845,plain,
    ( e3 != e3
    | ~ sP20
    | ~ spl81_27 ),
    inference(forward_demodulation,[],[f749,f958]) ).

fof(f958,plain,
    ( e3 = op(e3,unit)
    | ~ spl81_27 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f749,plain,
    ( e3 != op(e3,unit)
    | ~ sP20 ),
    inference(definition_unfolding,[],[f473,f576]) ).

fof(f473,plain,
    ( e3 != op(e3,e0)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ( ( e4 != op(e3,e0)
      & e3 != op(e3,e0)
      & e2 != op(e3,e0)
      & e1 != op(e3,e0)
      & e0 != op(e3,e0) )
    | ~ sP20 ),
    inference(nnf_transformation,[],[f27]) ).

fof(f27,plain,
    ( ( e4 != op(e3,e0)
      & e3 != op(e3,e0)
      & e2 != op(e3,e0)
      & e1 != op(e3,e0)
      & e0 != op(e3,e0) )
    | ~ sP20 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).

fof(f1841,plain,
    ( ~ spl81_146
    | ~ spl81_36 ),
    inference(avatar_split_clause,[],[f1840,f1001,f1551]) ).

fof(f1551,plain,
    ( spl81_146
  <=> sP31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_146])]) ).

fof(f1840,plain,
    ( ~ sP31
    | ~ spl81_36 ),
    inference(trivial_inequality_removal,[],[f1839]) ).

fof(f1839,plain,
    ( unit != unit
    | ~ sP31
    | ~ spl81_36 ),
    inference(forward_demodulation,[],[f733,f1003]) ).

fof(f733,plain,
    ( unit != op(unit,unit)
    | ~ sP31 ),
    inference(definition_unfolding,[],[f415,f576,f576,f576]) ).

fof(f415,plain,
    ( e0 != op(e0,e0)
    | ~ sP31 ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ( ( e0 != op(e0,e4)
      & e0 != op(e0,e3)
      & e0 != op(e0,e2)
      & e0 != op(e0,e1)
      & e0 != op(e0,e0) )
    | ~ sP31 ),
    inference(nnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( ( e0 != op(e0,e4)
      & e0 != op(e0,e3)
      & e0 != op(e0,e2)
      & e0 != op(e0,e1)
      & e0 != op(e0,e0) )
    | ~ sP31 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).

fof(f1838,plain,
    ( ~ spl81_144
    | ~ spl81_36 ),
    inference(avatar_split_clause,[],[f1837,f1001,f1541]) ).

fof(f1541,plain,
    ( spl81_144
  <=> sP32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_144])]) ).

fof(f1837,plain,
    ( ~ sP32
    | ~ spl81_36 ),
    inference(trivial_inequality_removal,[],[f1836]) ).

fof(f1836,plain,
    ( unit != unit
    | ~ sP32
    | ~ spl81_36 ),
    inference(forward_demodulation,[],[f728,f1003]) ).

fof(f728,plain,
    ( unit != op(unit,unit)
    | ~ sP32 ),
    inference(definition_unfolding,[],[f410,f576,f576,f576]) ).

fof(f410,plain,
    ( e0 != op(e0,e0)
    | ~ sP32 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ( ( e0 != op(e4,e0)
      & e0 != op(e3,e0)
      & e0 != op(e2,e0)
      & e0 != op(e1,e0)
      & e0 != op(e0,e0) )
    | ~ sP32 ),
    inference(nnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( ( e0 != op(e4,e0)
      & e0 != op(e3,e0)
      & e0 != op(e2,e0)
      & e0 != op(e1,e0)
      & e0 != op(e0,e0) )
    | ~ sP32 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).

fof(f1835,plain,
    ( ~ spl81_142
    | ~ spl81_35 ),
    inference(avatar_split_clause,[],[f1834,f996,f1531]) ).

fof(f1531,plain,
    ( spl81_142
  <=> sP33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_142])]) ).

fof(f1834,plain,
    ( ~ sP33
    | ~ spl81_35 ),
    inference(trivial_inequality_removal,[],[f1833]) ).

fof(f1833,plain,
    ( e1 != e1
    | ~ sP33
    | ~ spl81_35 ),
    inference(forward_demodulation,[],[f722,f998]) ).

fof(f722,plain,
    ( e1 != op(unit,e1)
    | ~ sP33 ),
    inference(definition_unfolding,[],[f406,f576]) ).

fof(f406,plain,
    ( e1 != op(e0,e1)
    | ~ sP33 ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ( ( e1 != op(e0,e4)
      & e1 != op(e0,e3)
      & e1 != op(e0,e2)
      & e1 != op(e0,e1)
      & e1 != op(e0,e0) )
    | ~ sP33 ),
    inference(nnf_transformation,[],[f40]) ).

fof(f40,plain,
    ( ( e1 != op(e0,e4)
      & e1 != op(e0,e3)
      & e1 != op(e0,e2)
      & e1 != op(e0,e1)
      & e1 != op(e0,e0) )
    | ~ sP33 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).

fof(f1831,plain,
    ( ~ spl81_140
    | ~ spl81_31 ),
    inference(avatar_split_clause,[],[f1830,f976,f1521]) ).

fof(f1521,plain,
    ( spl81_140
  <=> sP34 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_140])]) ).

fof(f1830,plain,
    ( ~ sP34
    | ~ spl81_31 ),
    inference(trivial_inequality_removal,[],[f1829]) ).

fof(f1829,plain,
    ( e1 != e1
    | ~ sP34
    | ~ spl81_31 ),
    inference(forward_demodulation,[],[f717,f978]) ).

fof(f717,plain,
    ( e1 != op(e1,unit)
    | ~ sP34 ),
    inference(definition_unfolding,[],[f401,f576]) ).

fof(f401,plain,
    ( e1 != op(e1,e0)
    | ~ sP34 ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ( ( e1 != op(e4,e0)
      & e1 != op(e3,e0)
      & e1 != op(e2,e0)
      & e1 != op(e1,e0)
      & e1 != op(e0,e0) )
    | ~ sP34 ),
    inference(nnf_transformation,[],[f41]) ).

fof(f41,plain,
    ( ( e1 != op(e4,e0)
      & e1 != op(e3,e0)
      & e1 != op(e2,e0)
      & e1 != op(e1,e0)
      & e1 != op(e0,e0) )
    | ~ sP34 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).

fof(f1827,plain,
    ( ~ spl81_138
    | ~ spl81_34 ),
    inference(avatar_split_clause,[],[f1826,f991,f1511]) ).

fof(f1511,plain,
    ( spl81_138
  <=> sP35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_138])]) ).

fof(f1826,plain,
    ( ~ sP35
    | ~ spl81_34 ),
    inference(trivial_inequality_removal,[],[f1825]) ).

fof(f1825,plain,
    ( e2 != e2
    | ~ sP35
    | ~ spl81_34 ),
    inference(forward_demodulation,[],[f711,f993]) ).

fof(f711,plain,
    ( e2 != op(unit,e2)
    | ~ sP35 ),
    inference(definition_unfolding,[],[f397,f576]) ).

fof(f397,plain,
    ( e2 != op(e0,e2)
    | ~ sP35 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ( ( e2 != op(e0,e4)
      & e2 != op(e0,e3)
      & e2 != op(e0,e2)
      & e2 != op(e0,e1)
      & e2 != op(e0,e0) )
    | ~ sP35 ),
    inference(nnf_transformation,[],[f42]) ).

fof(f42,plain,
    ( ( e2 != op(e0,e4)
      & e2 != op(e0,e3)
      & e2 != op(e0,e2)
      & e2 != op(e0,e1)
      & e2 != op(e0,e0) )
    | ~ sP35 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).

fof(f1822,plain,
    ( ~ spl81_136
    | ~ spl81_29 ),
    inference(avatar_split_clause,[],[f1821,f966,f1501]) ).

fof(f1501,plain,
    ( spl81_136
  <=> sP36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_136])]) ).

fof(f1821,plain,
    ( ~ sP36
    | ~ spl81_29 ),
    inference(trivial_inequality_removal,[],[f1820]) ).

fof(f1820,plain,
    ( e2 != e2
    | ~ sP36
    | ~ spl81_29 ),
    inference(forward_demodulation,[],[f706,f968]) ).

fof(f706,plain,
    ( e2 != op(e2,unit)
    | ~ sP36 ),
    inference(definition_unfolding,[],[f392,f576]) ).

fof(f392,plain,
    ( e2 != op(e2,e0)
    | ~ sP36 ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ( ( e2 != op(e4,e0)
      & e2 != op(e3,e0)
      & e2 != op(e2,e0)
      & e2 != op(e1,e0)
      & e2 != op(e0,e0) )
    | ~ sP36 ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( ( e2 != op(e4,e0)
      & e2 != op(e3,e0)
      & e2 != op(e2,e0)
      & e2 != op(e1,e0)
      & e2 != op(e0,e0) )
    | ~ sP36 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).

fof(f1817,plain,
    ( ~ spl81_134
    | ~ spl81_33 ),
    inference(avatar_split_clause,[],[f1816,f986,f1491]) ).

fof(f1491,plain,
    ( spl81_134
  <=> sP37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_134])]) ).

fof(f1816,plain,
    ( ~ sP37
    | ~ spl81_33 ),
    inference(trivial_inequality_removal,[],[f1815]) ).

fof(f1815,plain,
    ( e3 != e3
    | ~ sP37
    | ~ spl81_33 ),
    inference(forward_demodulation,[],[f700,f988]) ).

fof(f700,plain,
    ( e3 != op(unit,e3)
    | ~ sP37 ),
    inference(definition_unfolding,[],[f388,f576]) ).

fof(f388,plain,
    ( e3 != op(e0,e3)
    | ~ sP37 ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ( ( e3 != op(e0,e4)
      & e3 != op(e0,e3)
      & e3 != op(e0,e2)
      & e3 != op(e0,e1)
      & e3 != op(e0,e0) )
    | ~ sP37 ),
    inference(nnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( ( e3 != op(e0,e4)
      & e3 != op(e0,e3)
      & e3 != op(e0,e2)
      & e3 != op(e0,e1)
      & e3 != op(e0,e0) )
    | ~ sP37 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).

fof(f1811,plain,
    ( ~ spl81_132
    | ~ spl81_27 ),
    inference(avatar_split_clause,[],[f1810,f956,f1481]) ).

fof(f1481,plain,
    ( spl81_132
  <=> sP38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_132])]) ).

fof(f1810,plain,
    ( ~ sP38
    | ~ spl81_27 ),
    inference(trivial_inequality_removal,[],[f1809]) ).

fof(f1809,plain,
    ( e3 != e3
    | ~ sP38
    | ~ spl81_27 ),
    inference(forward_demodulation,[],[f695,f958]) ).

fof(f695,plain,
    ( e3 != op(e3,unit)
    | ~ sP38 ),
    inference(definition_unfolding,[],[f383,f576]) ).

fof(f383,plain,
    ( e3 != op(e3,e0)
    | ~ sP38 ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ( ( e3 != op(e4,e0)
      & e3 != op(e3,e0)
      & e3 != op(e2,e0)
      & e3 != op(e1,e0)
      & e3 != op(e0,e0) )
    | ~ sP38 ),
    inference(nnf_transformation,[],[f45]) ).

fof(f45,plain,
    ( ( e3 != op(e4,e0)
      & e3 != op(e3,e0)
      & e3 != op(e2,e0)
      & e3 != op(e1,e0)
      & e3 != op(e0,e0) )
    | ~ sP38 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).

fof(f1805,plain,
    ( ~ spl81_128
    | ~ spl81_30 ),
    inference(avatar_split_clause,[],[f1804,f971,f1461]) ).

fof(f1461,plain,
    ( spl81_128
  <=> sP41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_128])]) ).

fof(f971,plain,
    ( spl81_30
  <=> op(e1,e2) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_30])]) ).

fof(f1804,plain,
    ( ~ sP41
    | ~ spl81_30 ),
    inference(trivial_inequality_removal,[],[f1803]) ).

fof(f1803,plain,
    ( unit != unit
    | ~ sP41
    | ~ spl81_30 ),
    inference(forward_demodulation,[],[f681,f973]) ).

fof(f973,plain,
    ( op(e1,e2) = unit
    | ~ spl81_30 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f681,plain,
    ( op(e1,e2) != unit
    | ~ sP41 ),
    inference(definition_unfolding,[],[f367,f576]) ).

fof(f367,plain,
    ( e0 != op(e1,e2)
    | ~ sP41 ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ( ( e0 != op(e1,e4)
      & e0 != op(e1,e3)
      & e0 != op(e1,e2)
      & e0 != op(e1,e1)
      & e0 != op(e1,e0) )
    | ~ sP41 ),
    inference(nnf_transformation,[],[f48]) ).

fof(f48,plain,
    ( ( e0 != op(e1,e4)
      & e0 != op(e1,e3)
      & e0 != op(e1,e2)
      & e0 != op(e1,e1)
      & e0 != op(e1,e0) )
    | ~ sP41 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).

fof(f1800,plain,
    ( ~ spl81_126
    | ~ spl81_28 ),
    inference(avatar_split_clause,[],[f1799,f961,f1451]) ).

fof(f1451,plain,
    ( spl81_126
  <=> sP42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_126])]) ).

fof(f961,plain,
    ( spl81_28
  <=> op(e2,e1) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_28])]) ).

fof(f1799,plain,
    ( ~ sP42
    | ~ spl81_28 ),
    inference(trivial_inequality_removal,[],[f1798]) ).

fof(f1798,plain,
    ( unit != unit
    | ~ sP42
    | ~ spl81_28 ),
    inference(forward_demodulation,[],[f676,f963]) ).

fof(f963,plain,
    ( op(e2,e1) = unit
    | ~ spl81_28 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f676,plain,
    ( op(e2,e1) != unit
    | ~ sP42 ),
    inference(definition_unfolding,[],[f362,f576]) ).

fof(f362,plain,
    ( e0 != op(e2,e1)
    | ~ sP42 ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ( ( e0 != op(e4,e1)
      & e0 != op(e3,e1)
      & e0 != op(e2,e1)
      & e0 != op(e1,e1)
      & e0 != op(e0,e1) )
    | ~ sP42 ),
    inference(nnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( ( e0 != op(e4,e1)
      & e0 != op(e3,e1)
      & e0 != op(e2,e1)
      & e0 != op(e1,e1)
      & e0 != op(e0,e1) )
    | ~ sP42 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).

fof(f1795,plain,
    ( ~ spl81_123
    | ~ spl81_28 ),
    inference(avatar_split_clause,[],[f1794,f961,f1436]) ).

fof(f1436,plain,
    ( spl81_123
  <=> sP51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_123])]) ).

fof(f1794,plain,
    ( ~ sP51
    | ~ spl81_28 ),
    inference(trivial_inequality_removal,[],[f1793]) ).

fof(f1793,plain,
    ( unit != unit
    | ~ sP51
    | ~ spl81_28 ),
    inference(forward_demodulation,[],[f664,f963]) ).

fof(f664,plain,
    ( op(e2,e1) != unit
    | ~ sP51 ),
    inference(definition_unfolding,[],[f316,f576]) ).

fof(f316,plain,
    ( e0 != op(e2,e1)
    | ~ sP51 ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ( ( e0 != op(e2,e4)
      & e0 != op(e2,e3)
      & e0 != op(e2,e2)
      & e0 != op(e2,e1)
      & e0 != op(e2,e0) )
    | ~ sP51 ),
    inference(nnf_transformation,[],[f58]) ).

fof(f58,plain,
    ( ( e0 != op(e2,e4)
      & e0 != op(e2,e3)
      & e0 != op(e2,e2)
      & e0 != op(e2,e1)
      & e0 != op(e2,e0) )
    | ~ sP51 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).

fof(f1791,plain,
    ( ~ spl81_121
    | ~ spl81_30 ),
    inference(avatar_split_clause,[],[f1790,f971,f1426]) ).

fof(f1426,plain,
    ( spl81_121
  <=> sP52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_121])]) ).

fof(f1790,plain,
    ( ~ sP52
    | ~ spl81_30 ),
    inference(trivial_inequality_removal,[],[f1789]) ).

fof(f1789,plain,
    ( unit != unit
    | ~ sP52
    | ~ spl81_30 ),
    inference(forward_demodulation,[],[f659,f973]) ).

fof(f659,plain,
    ( op(e1,e2) != unit
    | ~ sP52 ),
    inference(definition_unfolding,[],[f311,f576]) ).

fof(f311,plain,
    ( e0 != op(e1,e2)
    | ~ sP52 ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ( ( e0 != op(e4,e2)
      & e0 != op(e3,e2)
      & e0 != op(e2,e2)
      & e0 != op(e1,e2)
      & e0 != op(e0,e2) )
    | ~ sP52 ),
    inference(nnf_transformation,[],[f59]) ).

fof(f59,plain,
    ( ( e0 != op(e4,e2)
      & e0 != op(e3,e2)
      & e0 != op(e2,e2)
      & e0 != op(e1,e2)
      & e0 != op(e0,e2) )
    | ~ sP52 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).

fof(f1787,plain,
    ( ~ spl81_118
    | ~ spl81_24 ),
    inference(avatar_split_clause,[],[f1786,f941,f1411]) ).

fof(f1411,plain,
    ( spl81_118
  <=> sP71 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_118])]) ).

fof(f941,plain,
    ( spl81_24
  <=> op(e4,e3) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_24])]) ).

fof(f1786,plain,
    ( ~ sP71
    | ~ spl81_24 ),
    inference(trivial_inequality_removal,[],[f1785]) ).

fof(f1785,plain,
    ( unit != unit
    | ~ sP71
    | ~ spl81_24 ),
    inference(forward_demodulation,[],[f626,f943]) ).

fof(f943,plain,
    ( op(e4,e3) = unit
    | ~ spl81_24 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f626,plain,
    ( op(e4,e3) != unit
    | ~ sP71 ),
    inference(definition_unfolding,[],[f218,f576]) ).

fof(f218,plain,
    ( e0 != op(e4,e3)
    | ~ sP71 ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ( ( e0 != op(e4,e4)
      & e0 != op(e4,e3)
      & e0 != op(e4,e2)
      & e0 != op(e4,e1)
      & e0 != op(e4,e0) )
    | ~ sP71 ),
    inference(nnf_transformation,[],[f78]) ).

fof(f78,plain,
    ( ( e0 != op(e4,e4)
      & e0 != op(e4,e3)
      & e0 != op(e4,e2)
      & e0 != op(e4,e1)
      & e0 != op(e4,e0) )
    | ~ sP71 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).

fof(f1781,plain,
    ( ~ spl81_116
    | ~ spl81_26 ),
    inference(avatar_split_clause,[],[f1780,f951,f1401]) ).

fof(f1401,plain,
    ( spl81_116
  <=> sP72 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_116])]) ).

fof(f951,plain,
    ( spl81_26
  <=> op(e3,e4) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_26])]) ).

fof(f1780,plain,
    ( ~ sP72
    | ~ spl81_26 ),
    inference(trivial_inequality_removal,[],[f1779]) ).

fof(f1779,plain,
    ( unit != unit
    | ~ sP72
    | ~ spl81_26 ),
    inference(forward_demodulation,[],[f621,f953]) ).

fof(f953,plain,
    ( op(e3,e4) = unit
    | ~ spl81_26 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f621,plain,
    ( op(e3,e4) != unit
    | ~ sP72 ),
    inference(definition_unfolding,[],[f213,f576]) ).

fof(f213,plain,
    ( e0 != op(e3,e4)
    | ~ sP72 ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ( ( e0 != op(e4,e4)
      & e0 != op(e3,e4)
      & e0 != op(e2,e4)
      & e0 != op(e1,e4)
      & e0 != op(e0,e4) )
    | ~ sP72 ),
    inference(nnf_transformation,[],[f79]) ).

fof(f79,plain,
    ( ( e0 != op(e4,e4)
      & e0 != op(e3,e4)
      & e0 != op(e2,e4)
      & e0 != op(e1,e4)
      & e0 != op(e0,e4) )
    | ~ sP72 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).

fof(f1775,plain,
    ( ~ spl81_113
    | ~ spl81_23 ),
    inference(avatar_split_clause,[],[f1774,f936,f1386]) ).

fof(f1386,plain,
    ( spl81_113
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_113])]) ).

fof(f936,plain,
    ( spl81_23
  <=> e2 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_23])]) ).

fof(f1774,plain,
    ( ~ sP2
    | ~ spl81_23 ),
    inference(trivial_inequality_removal,[],[f1773]) ).

fof(f1773,plain,
    ( e2 != e2
    | ~ sP2
    | ~ spl81_23 ),
    inference(forward_demodulation,[],[f564,f938]) ).

fof(f938,plain,
    ( e2 = op(e4,e4)
    | ~ spl81_23 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f564,plain,
    ( e2 != op(e4,e4)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f167]) ).

fof(f167,plain,
    ( ( e2 != op(e4,e4)
      & e2 != op(e3,e3)
      & e2 != op(e2,e2)
      & e2 != op(e1,e1)
      & e2 != op(e0,e0) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f9]) ).

fof(f9,plain,
    ( ( e2 != op(e4,e4)
      & e2 != op(e3,e3)
      & e2 != op(e2,e2)
      & e2 != op(e1,e1)
      & e2 != op(e0,e0) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f1770,plain,
    ( ~ spl81_106
    | ~ spl81_15 ),
    inference(avatar_split_clause,[],[f1769,f896,f1351]) ).

fof(f1351,plain,
    ( spl81_106
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_106])]) ).

fof(f896,plain,
    ( spl81_15
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_15])]) ).

fof(f1769,plain,
    ( ~ sP17
    | ~ spl81_15 ),
    inference(trivial_inequality_removal,[],[f1768]) ).

fof(f1768,plain,
    ( e3 != e3
    | ~ sP17
    | ~ spl81_15 ),
    inference(forward_demodulation,[],[f488,f898]) ).

fof(f898,plain,
    ( e3 = op(e2,e2)
    | ~ spl81_15 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f488,plain,
    ( e3 != op(e2,e2)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ( ( e4 != op(e2,e2)
      & e3 != op(e2,e2)
      & e2 != op(e2,e2)
      & e1 != op(e2,e2)
      & e0 != op(e2,e2) )
    | ~ sP17 ),
    inference(nnf_transformation,[],[f24]) ).

fof(f24,plain,
    ( ( e4 != op(e2,e2)
      & e3 != op(e2,e2)
      & e2 != op(e2,e2)
      & e1 != op(e2,e2)
      & e0 != op(e2,e2) )
    | ~ sP17 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f1766,plain,
    ( ~ spl81_104
    | ~ spl81_16 ),
    inference(avatar_split_clause,[],[f1765,f901,f1341]) ).

fof(f1341,plain,
    ( spl81_104
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_104])]) ).

fof(f901,plain,
    ( spl81_16
  <=> e4 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_16])]) ).

fof(f1765,plain,
    ( ~ sP18
    | ~ spl81_16 ),
    inference(trivial_inequality_removal,[],[f1764]) ).

fof(f1764,plain,
    ( e4 != e4
    | ~ sP18
    | ~ spl81_16 ),
    inference(forward_demodulation,[],[f484,f903]) ).

fof(f903,plain,
    ( e4 = op(e2,e3)
    | ~ spl81_16 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f484,plain,
    ( e4 != op(e2,e3)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ( ( e4 != op(e2,e3)
      & e3 != op(e2,e3)
      & e2 != op(e2,e3)
      & e1 != op(e2,e3)
      & e0 != op(e2,e3) )
    | ~ sP18 ),
    inference(nnf_transformation,[],[f25]) ).

fof(f25,plain,
    ( ( e4 != op(e2,e3)
      & e3 != op(e2,e3)
      & e2 != op(e2,e3)
      & e1 != op(e2,e3)
      & e0 != op(e2,e3) )
    | ~ sP18 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

fof(f1760,plain,
    ( ~ spl81_100
    | ~ spl81_19 ),
    inference(avatar_split_clause,[],[f1759,f916,f1321]) ).

fof(f1321,plain,
    ( spl81_100
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_100])]) ).

fof(f916,plain,
    ( spl81_19
  <=> e4 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_19])]) ).

fof(f1759,plain,
    ( ~ sP22
    | ~ spl81_19 ),
    inference(trivial_inequality_removal,[],[f1758]) ).

fof(f1758,plain,
    ( e4 != e4
    | ~ sP22
    | ~ spl81_19 ),
    inference(forward_demodulation,[],[f464,f918]) ).

fof(f918,plain,
    ( e4 = op(e3,e2)
    | ~ spl81_19 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f464,plain,
    ( e4 != op(e3,e2)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ( ( e4 != op(e3,e2)
      & e3 != op(e3,e2)
      & e2 != op(e3,e2)
      & e1 != op(e3,e2)
      & e0 != op(e3,e2) )
    | ~ sP22 ),
    inference(nnf_transformation,[],[f29]) ).

fof(f29,plain,
    ( ( e4 != op(e3,e2)
      & e3 != op(e3,e2)
      & e2 != op(e3,e2)
      & e1 != op(e3,e2)
      & e0 != op(e3,e2) )
    | ~ sP22 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).

fof(f1754,plain,
    ( ~ spl81_97
    | ~ spl81_26 ),
    inference(avatar_split_clause,[],[f1753,f951,f1306]) ).

fof(f1306,plain,
    ( spl81_97
  <=> sP24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_97])]) ).

fof(f1753,plain,
    ( ~ sP24
    | ~ spl81_26 ),
    inference(trivial_inequality_removal,[],[f1752]) ).

fof(f1752,plain,
    ( unit != unit
    | ~ sP24
    | ~ spl81_26 ),
    inference(forward_demodulation,[],[f744,f953]) ).

fof(f744,plain,
    ( op(e3,e4) != unit
    | ~ sP24 ),
    inference(definition_unfolding,[],[f450,f576]) ).

fof(f450,plain,
    ( e0 != op(e3,e4)
    | ~ sP24 ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ( ( e4 != op(e3,e4)
      & e3 != op(e3,e4)
      & e2 != op(e3,e4)
      & e1 != op(e3,e4)
      & e0 != op(e3,e4) )
    | ~ sP24 ),
    inference(nnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( ( e4 != op(e3,e4)
      & e3 != op(e3,e4)
      & e2 != op(e3,e4)
      & e1 != op(e3,e4)
      & e0 != op(e3,e4) )
    | ~ sP24 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).

fof(f1751,plain,
    ( ~ spl81_93
    | ~ spl81_24 ),
    inference(avatar_split_clause,[],[f1750,f941,f1286]) ).

fof(f1286,plain,
    ( spl81_93
  <=> sP28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_93])]) ).

fof(f1750,plain,
    ( ~ sP28
    | ~ spl81_24 ),
    inference(trivial_inequality_removal,[],[f1749]) ).

fof(f1749,plain,
    ( unit != unit
    | ~ sP28
    | ~ spl81_24 ),
    inference(forward_demodulation,[],[f736,f943]) ).

fof(f736,plain,
    ( op(e4,e3) != unit
    | ~ sP28 ),
    inference(definition_unfolding,[],[f430,f576]) ).

fof(f430,plain,
    ( e0 != op(e4,e3)
    | ~ sP28 ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ( ( e4 != op(e4,e3)
      & e3 != op(e4,e3)
      & e2 != op(e4,e3)
      & e1 != op(e4,e3)
      & e0 != op(e4,e3) )
    | ~ sP28 ),
    inference(nnf_transformation,[],[f35]) ).

fof(f35,plain,
    ( ( e4 != op(e4,e3)
      & e3 != op(e4,e3)
      & e2 != op(e4,e3)
      & e1 != op(e4,e3)
      & e0 != op(e4,e3) )
    | ~ sP28 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).

fof(f1748,plain,
    ( ~ spl81_91
    | ~ spl81_23 ),
    inference(avatar_split_clause,[],[f1747,f936,f1276]) ).

fof(f1276,plain,
    ( spl81_91
  <=> sP29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_91])]) ).

fof(f1747,plain,
    ( ~ sP29
    | ~ spl81_23 ),
    inference(trivial_inequality_removal,[],[f1746]) ).

fof(f1746,plain,
    ( e2 != e2
    | ~ sP29
    | ~ spl81_23 ),
    inference(forward_demodulation,[],[f427,f938]) ).

fof(f427,plain,
    ( e2 != op(e4,e4)
    | ~ sP29 ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ( ( e4 != op(e4,e4)
      & e3 != op(e4,e4)
      & e2 != op(e4,e4)
      & e1 != op(e4,e4)
      & e0 != op(e4,e4) )
    | ~ sP29 ),
    inference(nnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( ( e4 != op(e4,e4)
      & e3 != op(e4,e4)
      & e2 != op(e4,e4)
      & e1 != op(e4,e4)
      & e0 != op(e4,e4) )
    | ~ sP29 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).

fof(f1744,plain,
    ( ~ spl81_89
    | ~ spl81_35 ),
    inference(avatar_split_clause,[],[f1743,f996,f1266]) ).

fof(f1266,plain,
    ( spl81_89
  <=> sP44 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_89])]) ).

fof(f1743,plain,
    ( ~ sP44
    | ~ spl81_35 ),
    inference(trivial_inequality_removal,[],[f1742]) ).

fof(f1742,plain,
    ( e1 != e1
    | ~ sP44
    | ~ spl81_35 ),
    inference(forward_demodulation,[],[f672,f998]) ).

fof(f672,plain,
    ( e1 != op(unit,e1)
    | ~ sP44 ),
    inference(definition_unfolding,[],[f350,f576]) ).

fof(f350,plain,
    ( e1 != op(e0,e1)
    | ~ sP44 ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ( ( e1 != op(e4,e1)
      & e1 != op(e3,e1)
      & e1 != op(e2,e1)
      & e1 != op(e1,e1)
      & e1 != op(e0,e1) )
    | ~ sP44 ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ( ( e1 != op(e4,e1)
      & e1 != op(e3,e1)
      & e1 != op(e2,e1)
      & e1 != op(e1,e1)
      & e1 != op(e0,e1) )
    | ~ sP44 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).

fof(f1741,plain,
    ( ~ spl81_86
    | ~ spl81_18 ),
    inference(avatar_split_clause,[],[f1740,f911,f1251]) ).

fof(f1251,plain,
    ( spl81_86
  <=> sP46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_86])]) ).

fof(f911,plain,
    ( spl81_18
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_18])]) ).

fof(f1740,plain,
    ( ~ sP46
    | ~ spl81_18 ),
    inference(trivial_inequality_removal,[],[f1739]) ).

fof(f1739,plain,
    ( e2 != e2
    | ~ sP46
    | ~ spl81_18 ),
    inference(forward_demodulation,[],[f343,f913]) ).

fof(f913,plain,
    ( e2 = op(e3,e1)
    | ~ spl81_18 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f343,plain,
    ( e2 != op(e3,e1)
    | ~ sP46 ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ( ( e2 != op(e4,e1)
      & e2 != op(e3,e1)
      & e2 != op(e2,e1)
      & e2 != op(e1,e1)
      & e2 != op(e0,e1) )
    | ~ sP46 ),
    inference(nnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( ( e2 != op(e4,e1)
      & e2 != op(e3,e1)
      & e2 != op(e2,e1)
      & e2 != op(e1,e1)
      & e2 != op(e0,e1) )
    | ~ sP46 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).

fof(f1737,plain,
    ( ~ spl81_85
    | ~ spl81_14 ),
    inference(avatar_split_clause,[],[f1736,f891,f1246]) ).

fof(f1246,plain,
    ( spl81_85
  <=> sP47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_85])]) ).

fof(f891,plain,
    ( spl81_14
  <=> e3 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_14])]) ).

fof(f1736,plain,
    ( ~ sP47
    | ~ spl81_14 ),
    inference(trivial_inequality_removal,[],[f1735]) ).

fof(f1735,plain,
    ( e3 != e3
    | ~ sP47
    | ~ spl81_14 ),
    inference(forward_demodulation,[],[f339,f893]) ).

fof(f893,plain,
    ( e3 = op(e1,e4)
    | ~ spl81_14 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f339,plain,
    ( e3 != op(e1,e4)
    | ~ sP47 ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ( ( e3 != op(e1,e4)
      & e3 != op(e1,e3)
      & e3 != op(e1,e2)
      & e3 != op(e1,e1)
      & e3 != op(e1,e0) )
    | ~ sP47 ),
    inference(nnf_transformation,[],[f54]) ).

fof(f54,plain,
    ( ( e3 != op(e1,e4)
      & e3 != op(e1,e3)
      & e3 != op(e1,e2)
      & e3 != op(e1,e1)
      & e3 != op(e1,e0) )
    | ~ sP47 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).

fof(f1733,plain,
    ( ~ spl81_83
    | ~ spl81_21 ),
    inference(avatar_split_clause,[],[f1732,f926,f1236]) ).

fof(f1236,plain,
    ( spl81_83
  <=> sP48 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_83])]) ).

fof(f926,plain,
    ( spl81_21
  <=> e3 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_21])]) ).

fof(f1732,plain,
    ( ~ sP48
    | ~ spl81_21 ),
    inference(trivial_inequality_removal,[],[f1731]) ).

fof(f1731,plain,
    ( e3 != e3
    | ~ sP48
    | ~ spl81_21 ),
    inference(forward_demodulation,[],[f334,f928]) ).

fof(f928,plain,
    ( e3 = op(e4,e1)
    | ~ spl81_21 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f334,plain,
    ( e3 != op(e4,e1)
    | ~ sP48 ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ( ( e3 != op(e4,e1)
      & e3 != op(e3,e1)
      & e3 != op(e2,e1)
      & e3 != op(e1,e1)
      & e3 != op(e0,e1) )
    | ~ sP48 ),
    inference(nnf_transformation,[],[f55]) ).

fof(f55,plain,
    ( ( e3 != op(e4,e1)
      & e3 != op(e3,e1)
      & e3 != op(e2,e1)
      & e3 != op(e1,e1)
      & e3 != op(e0,e1) )
    | ~ sP48 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).

fof(f1728,plain,
    ( ~ spl81_79
    | ~ spl81_17 ),
    inference(avatar_split_clause,[],[f1727,f906,f1216]) ).

fof(f1216,plain,
    ( spl81_79
  <=> sP53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_79])]) ).

fof(f906,plain,
    ( spl81_17
  <=> e1 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_17])]) ).

fof(f1727,plain,
    ( ~ sP53
    | ~ spl81_17 ),
    inference(trivial_inequality_removal,[],[f1726]) ).

fof(f1726,plain,
    ( e1 != e1
    | ~ sP53
    | ~ spl81_17 ),
    inference(forward_demodulation,[],[f309,f908]) ).

fof(f908,plain,
    ( e1 = op(e2,e4)
    | ~ spl81_17 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f309,plain,
    ( e1 != op(e2,e4)
    | ~ sP53 ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ( ( e1 != op(e2,e4)
      & e1 != op(e2,e3)
      & e1 != op(e2,e2)
      & e1 != op(e2,e1)
      & e1 != op(e2,e0) )
    | ~ sP53 ),
    inference(nnf_transformation,[],[f60]) ).

fof(f60,plain,
    ( ( e1 != op(e2,e4)
      & e1 != op(e2,e3)
      & e1 != op(e2,e2)
      & e1 != op(e2,e1)
      & e1 != op(e2,e0) )
    | ~ sP53 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).

fof(f1724,plain,
    ( ~ spl81_77
    | ~ spl81_22 ),
    inference(avatar_split_clause,[],[f1723,f931,f1206]) ).

fof(f1206,plain,
    ( spl81_77
  <=> sP54 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_77])]) ).

fof(f931,plain,
    ( spl81_22
  <=> e1 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_22])]) ).

fof(f1723,plain,
    ( ~ sP54
    | ~ spl81_22 ),
    inference(trivial_inequality_removal,[],[f1722]) ).

fof(f1722,plain,
    ( e1 != e1
    | ~ sP54
    | ~ spl81_22 ),
    inference(forward_demodulation,[],[f304,f933]) ).

fof(f933,plain,
    ( e1 = op(e4,e2)
    | ~ spl81_22 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f304,plain,
    ( e1 != op(e4,e2)
    | ~ sP54 ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ( ( e1 != op(e4,e2)
      & e1 != op(e3,e2)
      & e1 != op(e2,e2)
      & e1 != op(e1,e2)
      & e1 != op(e0,e2) )
    | ~ sP54 ),
    inference(nnf_transformation,[],[f61]) ).

fof(f61,plain,
    ( ( e1 != op(e4,e2)
      & e1 != op(e3,e2)
      & e1 != op(e2,e2)
      & e1 != op(e1,e2)
      & e1 != op(e0,e2) )
    | ~ sP54 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).

fof(f1720,plain,
    ( ~ spl81_75
    | ~ spl81_29 ),
    inference(avatar_split_clause,[],[f1719,f966,f1196]) ).

fof(f1196,plain,
    ( spl81_75
  <=> sP55 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_75])]) ).

fof(f1719,plain,
    ( ~ sP55
    | ~ spl81_29 ),
    inference(trivial_inequality_removal,[],[f1718]) ).

fof(f1718,plain,
    ( e2 != e2
    | ~ sP55
    | ~ spl81_29 ),
    inference(forward_demodulation,[],[f653,f968]) ).

fof(f653,plain,
    ( e2 != op(e2,unit)
    | ~ sP55 ),
    inference(definition_unfolding,[],[f295,f576]) ).

fof(f295,plain,
    ( e2 != op(e2,e0)
    | ~ sP55 ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ( ( e2 != op(e2,e4)
      & e2 != op(e2,e3)
      & e2 != op(e2,e2)
      & e2 != op(e2,e1)
      & e2 != op(e2,e0) )
    | ~ sP55 ),
    inference(nnf_transformation,[],[f62]) ).

fof(f62,plain,
    ( ( e2 != op(e2,e4)
      & e2 != op(e2,e3)
      & e2 != op(e2,e2)
      & e2 != op(e2,e1)
      & e2 != op(e2,e0) )
    | ~ sP55 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).

fof(f1717,plain,
    ( ~ spl81_73
    | ~ spl81_34 ),
    inference(avatar_split_clause,[],[f1716,f991,f1186]) ).

fof(f1186,plain,
    ( spl81_73
  <=> sP56 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_73])]) ).

fof(f1716,plain,
    ( ~ sP56
    | ~ spl81_34 ),
    inference(trivial_inequality_removal,[],[f1715]) ).

fof(f1715,plain,
    ( e2 != e2
    | ~ sP56
    | ~ spl81_34 ),
    inference(forward_demodulation,[],[f652,f993]) ).

fof(f652,plain,
    ( e2 != op(unit,e2)
    | ~ sP56 ),
    inference(definition_unfolding,[],[f290,f576]) ).

fof(f290,plain,
    ( e2 != op(e0,e2)
    | ~ sP56 ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ( ( e2 != op(e4,e2)
      & e2 != op(e3,e2)
      & e2 != op(e2,e2)
      & e2 != op(e1,e2)
      & e2 != op(e0,e2) )
    | ~ sP56 ),
    inference(nnf_transformation,[],[f63]) ).

fof(f63,plain,
    ( ( e2 != op(e4,e2)
      & e2 != op(e3,e2)
      & e2 != op(e2,e2)
      & e2 != op(e1,e2)
      & e2 != op(e0,e2) )
    | ~ sP56 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).

fof(f1714,plain,
    ( ~ spl81_71
    | ~ spl81_15 ),
    inference(avatar_split_clause,[],[f1713,f896,f1176]) ).

fof(f1176,plain,
    ( spl81_71
  <=> sP57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_71])]) ).

fof(f1713,plain,
    ( ~ sP57
    | ~ spl81_15 ),
    inference(trivial_inequality_removal,[],[f1712]) ).

fof(f1712,plain,
    ( e3 != e3
    | ~ sP57
    | ~ spl81_15 ),
    inference(forward_demodulation,[],[f287,f898]) ).

fof(f287,plain,
    ( e3 != op(e2,e2)
    | ~ sP57 ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ( ( e3 != op(e2,e4)
      & e3 != op(e2,e3)
      & e3 != op(e2,e2)
      & e3 != op(e2,e1)
      & e3 != op(e2,e0) )
    | ~ sP57 ),
    inference(nnf_transformation,[],[f64]) ).

fof(f64,plain,
    ( ( e3 != op(e2,e4)
      & e3 != op(e2,e3)
      & e3 != op(e2,e2)
      & e3 != op(e2,e1)
      & e3 != op(e2,e0) )
    | ~ sP57 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).

fof(f1710,plain,
    ( ~ spl81_69
    | ~ spl81_15 ),
    inference(avatar_split_clause,[],[f1709,f896,f1166]) ).

fof(f1166,plain,
    ( spl81_69
  <=> sP58 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_69])]) ).

fof(f1709,plain,
    ( ~ sP58
    | ~ spl81_15 ),
    inference(trivial_inequality_removal,[],[f1708]) ).

fof(f1708,plain,
    ( e3 != e3
    | ~ sP58
    | ~ spl81_15 ),
    inference(forward_demodulation,[],[f282,f898]) ).

fof(f282,plain,
    ( e3 != op(e2,e2)
    | ~ sP58 ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ( ( e3 != op(e4,e2)
      & e3 != op(e3,e2)
      & e3 != op(e2,e2)
      & e3 != op(e1,e2)
      & e3 != op(e0,e2) )
    | ~ sP58 ),
    inference(nnf_transformation,[],[f65]) ).

fof(f65,plain,
    ( ( e3 != op(e4,e2)
      & e3 != op(e3,e2)
      & e3 != op(e2,e2)
      & e3 != op(e1,e2)
      & e3 != op(e0,e2) )
    | ~ sP58 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).

fof(f1706,plain,
    ( ~ spl81_67
    | ~ spl81_16 ),
    inference(avatar_split_clause,[],[f1705,f901,f1156]) ).

fof(f1156,plain,
    ( spl81_67
  <=> sP59 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_67])]) ).

fof(f1705,plain,
    ( ~ sP59
    | ~ spl81_16 ),
    inference(trivial_inequality_removal,[],[f1704]) ).

fof(f1704,plain,
    ( e4 != e4
    | ~ sP59
    | ~ spl81_16 ),
    inference(forward_demodulation,[],[f278,f903]) ).

fof(f278,plain,
    ( e4 != op(e2,e3)
    | ~ sP59 ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ( ( e4 != op(e2,e4)
      & e4 != op(e2,e3)
      & e4 != op(e2,e2)
      & e4 != op(e2,e1)
      & e4 != op(e2,e0) )
    | ~ sP59 ),
    inference(nnf_transformation,[],[f66]) ).

fof(f66,plain,
    ( ( e4 != op(e2,e4)
      & e4 != op(e2,e3)
      & e4 != op(e2,e2)
      & e4 != op(e2,e1)
      & e4 != op(e2,e0) )
    | ~ sP59 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).

fof(f1701,plain,
    ( ~ spl81_65
    | ~ spl81_19 ),
    inference(avatar_split_clause,[],[f1700,f916,f1146]) ).

fof(f1146,plain,
    ( spl81_65
  <=> sP60 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_65])]) ).

fof(f1700,plain,
    ( ~ sP60
    | ~ spl81_19 ),
    inference(trivial_inequality_removal,[],[f1699]) ).

fof(f1699,plain,
    ( e4 != e4
    | ~ sP60
    | ~ spl81_19 ),
    inference(forward_demodulation,[],[f273,f918]) ).

fof(f273,plain,
    ( e4 != op(e3,e2)
    | ~ sP60 ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ( ( e4 != op(e4,e2)
      & e4 != op(e3,e2)
      & e4 != op(e2,e2)
      & e4 != op(e1,e2)
      & e4 != op(e0,e2) )
    | ~ sP60 ),
    inference(nnf_transformation,[],[f67]) ).

fof(f67,plain,
    ( ( e4 != op(e4,e2)
      & e4 != op(e3,e2)
      & e4 != op(e2,e2)
      & e4 != op(e1,e2)
      & e4 != op(e0,e2) )
    | ~ sP60 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).

fof(f1696,plain,
    ( ~ spl81_63
    | ~ spl81_20 ),
    inference(avatar_split_clause,[],[f1695,f921,f1136]) ).

fof(f1136,plain,
    ( spl81_63
  <=> sP63 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_63])]) ).

fof(f921,plain,
    ( spl81_20
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_20])]) ).

fof(f1695,plain,
    ( ~ sP63
    | ~ spl81_20 ),
    inference(trivial_inequality_removal,[],[f1694]) ).

fof(f1694,plain,
    ( e1 != e1
    | ~ sP63
    | ~ spl81_20 ),
    inference(forward_demodulation,[],[f258,f923]) ).

fof(f923,plain,
    ( e1 = op(e3,e3)
    | ~ spl81_20 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f258,plain,
    ( e1 != op(e3,e3)
    | ~ sP63 ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ( ( e1 != op(e3,e4)
      & e1 != op(e3,e3)
      & e1 != op(e3,e2)
      & e1 != op(e3,e1)
      & e1 != op(e3,e0) )
    | ~ sP63 ),
    inference(nnf_transformation,[],[f70]) ).

fof(f70,plain,
    ( ( e1 != op(e3,e4)
      & e1 != op(e3,e3)
      & e1 != op(e3,e2)
      & e1 != op(e3,e1)
      & e1 != op(e3,e0) )
    | ~ sP63 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).

fof(f1692,plain,
    ( ~ spl81_61
    | ~ spl81_20 ),
    inference(avatar_split_clause,[],[f1691,f921,f1126]) ).

fof(f1126,plain,
    ( spl81_61
  <=> sP64 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_61])]) ).

fof(f1691,plain,
    ( ~ sP64
    | ~ spl81_20 ),
    inference(trivial_inequality_removal,[],[f1690]) ).

fof(f1690,plain,
    ( e1 != e1
    | ~ sP64
    | ~ spl81_20 ),
    inference(forward_demodulation,[],[f253,f923]) ).

fof(f253,plain,
    ( e1 != op(e3,e3)
    | ~ sP64 ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ( ( e1 != op(e4,e3)
      & e1 != op(e3,e3)
      & e1 != op(e2,e3)
      & e1 != op(e1,e3)
      & e1 != op(e0,e3) )
    | ~ sP64 ),
    inference(nnf_transformation,[],[f71]) ).

fof(f71,plain,
    ( ( e1 != op(e4,e3)
      & e1 != op(e3,e3)
      & e1 != op(e2,e3)
      & e1 != op(e1,e3)
      & e1 != op(e0,e3) )
    | ~ sP64 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).

fof(f1688,plain,
    ( ~ spl81_57
    | ~ spl81_27 ),
    inference(avatar_split_clause,[],[f1687,f956,f1106]) ).

fof(f1106,plain,
    ( spl81_57
  <=> sP67 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_57])]) ).

fof(f1687,plain,
    ( ~ sP67
    | ~ spl81_27 ),
    inference(trivial_inequality_removal,[],[f1686]) ).

fof(f1686,plain,
    ( e3 != e3
    | ~ sP67
    | ~ spl81_27 ),
    inference(forward_demodulation,[],[f633,f958]) ).

fof(f633,plain,
    ( e3 != op(e3,unit)
    | ~ sP67 ),
    inference(definition_unfolding,[],[f235,f576]) ).

fof(f235,plain,
    ( e3 != op(e3,e0)
    | ~ sP67 ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ( ( e3 != op(e3,e4)
      & e3 != op(e3,e3)
      & e3 != op(e3,e2)
      & e3 != op(e3,e1)
      & e3 != op(e3,e0) )
    | ~ sP67 ),
    inference(nnf_transformation,[],[f74]) ).

fof(f74,plain,
    ( ( e3 != op(e3,e4)
      & e3 != op(e3,e3)
      & e3 != op(e3,e2)
      & e3 != op(e3,e1)
      & e3 != op(e3,e0) )
    | ~ sP67 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).

fof(f1685,plain,
    ( ~ spl81_55
    | ~ spl81_33 ),
    inference(avatar_split_clause,[],[f1684,f986,f1096]) ).

fof(f1096,plain,
    ( spl81_55
  <=> sP68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_55])]) ).

fof(f1684,plain,
    ( ~ sP68
    | ~ spl81_33 ),
    inference(trivial_inequality_removal,[],[f1683]) ).

fof(f1683,plain,
    ( e3 != e3
    | ~ sP68
    | ~ spl81_33 ),
    inference(forward_demodulation,[],[f632,f988]) ).

fof(f632,plain,
    ( e3 != op(unit,e3)
    | ~ sP68 ),
    inference(definition_unfolding,[],[f230,f576]) ).

fof(f230,plain,
    ( e3 != op(e0,e3)
    | ~ sP68 ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ( ( e3 != op(e4,e3)
      & e3 != op(e3,e3)
      & e3 != op(e2,e3)
      & e3 != op(e1,e3)
      & e3 != op(e0,e3) )
    | ~ sP68 ),
    inference(nnf_transformation,[],[f75]) ).

fof(f75,plain,
    ( ( e3 != op(e4,e3)
      & e3 != op(e3,e3)
      & e3 != op(e2,e3)
      & e3 != op(e1,e3)
      & e3 != op(e0,e3) )
    | ~ sP68 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).

fof(f1682,plain,
    ( ~ spl81_53
    | ~ spl81_19 ),
    inference(avatar_split_clause,[],[f1681,f916,f1086]) ).

fof(f1086,plain,
    ( spl81_53
  <=> sP69 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_53])]) ).

fof(f1681,plain,
    ( ~ sP69
    | ~ spl81_19 ),
    inference(trivial_inequality_removal,[],[f1680]) ).

fof(f1680,plain,
    ( e4 != e4
    | ~ sP69
    | ~ spl81_19 ),
    inference(forward_demodulation,[],[f227,f918]) ).

fof(f227,plain,
    ( e4 != op(e3,e2)
    | ~ sP69 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ( ( e4 != op(e3,e4)
      & e4 != op(e3,e3)
      & e4 != op(e3,e2)
      & e4 != op(e3,e1)
      & e4 != op(e3,e0) )
    | ~ sP69 ),
    inference(nnf_transformation,[],[f76]) ).

fof(f76,plain,
    ( ( e4 != op(e3,e4)
      & e4 != op(e3,e3)
      & e4 != op(e3,e2)
      & e4 != op(e3,e1)
      & e4 != op(e3,e0) )
    | ~ sP69 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).

fof(f1678,plain,
    ( ~ spl81_51
    | ~ spl81_16 ),
    inference(avatar_split_clause,[],[f1677,f901,f1076]) ).

fof(f1076,plain,
    ( spl81_51
  <=> sP70 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_51])]) ).

fof(f1677,plain,
    ( ~ sP70
    | ~ spl81_16 ),
    inference(trivial_inequality_removal,[],[f1676]) ).

fof(f1676,plain,
    ( e4 != e4
    | ~ sP70
    | ~ spl81_16 ),
    inference(forward_demodulation,[],[f222,f903]) ).

fof(f222,plain,
    ( e4 != op(e2,e3)
    | ~ sP70 ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ( ( e4 != op(e4,e3)
      & e4 != op(e3,e3)
      & e4 != op(e2,e3)
      & e4 != op(e1,e3)
      & e4 != op(e0,e3) )
    | ~ sP70 ),
    inference(nnf_transformation,[],[f77]) ).

fof(f77,plain,
    ( ( e4 != op(e4,e3)
      & e4 != op(e3,e3)
      & e4 != op(e2,e3)
      & e4 != op(e1,e3)
      & e4 != op(e0,e3) )
    | ~ sP70 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).

fof(f1674,plain,
    ( ~ spl81_49
    | ~ spl81_22 ),
    inference(avatar_split_clause,[],[f1673,f931,f1066]) ).

fof(f1066,plain,
    ( spl81_49
  <=> sP73 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_49])]) ).

fof(f1673,plain,
    ( ~ sP73
    | ~ spl81_22 ),
    inference(trivial_inequality_removal,[],[f1672]) ).

fof(f1672,plain,
    ( e1 != e1
    | ~ sP73
    | ~ spl81_22 ),
    inference(forward_demodulation,[],[f207,f933]) ).

fof(f207,plain,
    ( e1 != op(e4,e2)
    | ~ sP73 ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ( ( e1 != op(e4,e4)
      & e1 != op(e4,e3)
      & e1 != op(e4,e2)
      & e1 != op(e4,e1)
      & e1 != op(e4,e0) )
    | ~ sP73 ),
    inference(nnf_transformation,[],[f80]) ).

fof(f80,plain,
    ( ( e1 != op(e4,e4)
      & e1 != op(e4,e3)
      & e1 != op(e4,e2)
      & e1 != op(e4,e1)
      & e1 != op(e4,e0) )
    | ~ sP73 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).

fof(f1671,plain,
    ( ~ spl81_45
    | ~ spl81_23 ),
    inference(avatar_split_clause,[],[f1670,f936,f1046]) ).

fof(f1046,plain,
    ( spl81_45
  <=> sP75 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_45])]) ).

fof(f1670,plain,
    ( ~ sP75
    | ~ spl81_23 ),
    inference(trivial_inequality_removal,[],[f1669]) ).

fof(f1669,plain,
    ( e2 != e2
    | ~ sP75
    | ~ spl81_23 ),
    inference(forward_demodulation,[],[f199,f938]) ).

fof(f199,plain,
    ( e2 != op(e4,e4)
    | ~ sP75 ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ( ( e2 != op(e4,e4)
      & e2 != op(e4,e3)
      & e2 != op(e4,e2)
      & e2 != op(e4,e1)
      & e2 != op(e4,e0) )
    | ~ sP75 ),
    inference(nnf_transformation,[],[f82]) ).

fof(f82,plain,
    ( ( e2 != op(e4,e4)
      & e2 != op(e4,e3)
      & e2 != op(e4,e2)
      & e2 != op(e4,e1)
      & e2 != op(e4,e0) )
    | ~ sP75 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).

fof(f1666,plain,
    ( ~ spl81_43
    | ~ spl81_23 ),
    inference(avatar_split_clause,[],[f1665,f936,f1036]) ).

fof(f1036,plain,
    ( spl81_43
  <=> sP76 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_43])]) ).

fof(f1665,plain,
    ( ~ sP76
    | ~ spl81_23 ),
    inference(trivial_inequality_removal,[],[f1664]) ).

fof(f1664,plain,
    ( e2 != e2
    | ~ sP76
    | ~ spl81_23 ),
    inference(forward_demodulation,[],[f194,f938]) ).

fof(f194,plain,
    ( e2 != op(e4,e4)
    | ~ sP76 ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ( ( e2 != op(e4,e4)
      & e2 != op(e3,e4)
      & e2 != op(e2,e4)
      & e2 != op(e1,e4)
      & e2 != op(e0,e4) )
    | ~ sP76 ),
    inference(nnf_transformation,[],[f83]) ).

fof(f83,plain,
    ( ( e2 != op(e4,e4)
      & e2 != op(e3,e4)
      & e2 != op(e2,e4)
      & e2 != op(e1,e4)
      & e2 != op(e0,e4) )
    | ~ sP76 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).

fof(f1661,plain,
    ( ~ spl81_39
    | ~ spl81_25 ),
    inference(avatar_split_clause,[],[f1660,f946,f1016]) ).

fof(f1016,plain,
    ( spl81_39
  <=> sP79 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_39])]) ).

fof(f946,plain,
    ( spl81_25
  <=> e4 = op(e4,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_25])]) ).

fof(f1660,plain,
    ( ~ sP79
    | ~ spl81_25 ),
    inference(trivial_inequality_removal,[],[f1659]) ).

fof(f1659,plain,
    ( e4 != e4
    | ~ sP79
    | ~ spl81_25 ),
    inference(forward_demodulation,[],[f613,f948]) ).

fof(f948,plain,
    ( e4 = op(e4,unit)
    | ~ spl81_25 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f613,plain,
    ( e4 != op(e4,unit)
    | ~ sP79 ),
    inference(definition_unfolding,[],[f175,f576]) ).

fof(f175,plain,
    ( e4 != op(e4,e0)
    | ~ sP79 ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ( ( e4 != op(e4,e4)
      & e4 != op(e4,e3)
      & e4 != op(e4,e2)
      & e4 != op(e4,e1)
      & e4 != op(e4,e0) )
    | ~ sP79 ),
    inference(nnf_transformation,[],[f86]) ).

fof(f86,plain,
    ( ( e4 != op(e4,e4)
      & e4 != op(e4,e3)
      & e4 != op(e4,e2)
      & e4 != op(e4,e1)
      & e4 != op(e4,e0) )
    | ~ sP79 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).

fof(f1658,plain,
    ( ~ spl81_47
    | ~ spl81_17 ),
    inference(avatar_split_clause,[],[f1657,f906,f1056]) ).

fof(f1056,plain,
    ( spl81_47
  <=> sP74 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_47])]) ).

fof(f1657,plain,
    ( ~ sP74
    | ~ spl81_17 ),
    inference(trivial_inequality_removal,[],[f1656]) ).

fof(f1656,plain,
    ( e1 != e1
    | ~ sP74
    | ~ spl81_17 ),
    inference(forward_demodulation,[],[f202,f908]) ).

fof(f202,plain,
    ( e1 != op(e2,e4)
    | ~ sP74 ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ( ( e1 != op(e4,e4)
      & e1 != op(e3,e4)
      & e1 != op(e2,e4)
      & e1 != op(e1,e4)
      & e1 != op(e0,e4) )
    | ~ sP74 ),
    inference(nnf_transformation,[],[f81]) ).

fof(f81,plain,
    ( ( e1 != op(e4,e4)
      & e1 != op(e3,e4)
      & e1 != op(e2,e4)
      & e1 != op(e1,e4)
      & e1 != op(e0,e4) )
    | ~ sP74 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).

fof(f1655,plain,
    ( spl81_166
    | spl81_115
    | spl81_113
    | spl81_112
    | spl81_111
    | spl81_164
    | spl81_162
    | spl81_160
    | spl81_158
    | spl81_157
    | spl81_155
    | spl81_110
    | spl81_154
    | spl81_109
    | spl81_108
    | spl81_152
    | spl81_151
    | spl81_106
    | spl81_104
    | spl81_103
    | spl81_149
    | spl81_102
    | spl81_100
    | spl81_99
    | spl81_97
    | spl81_148
    | spl81_96
    | spl81_95
    | spl81_93
    | spl81_91
    | ~ spl81_36
    | ~ spl81_35
    | ~ spl81_31
    | ~ spl81_34
    | ~ spl81_29
    | ~ spl81_33
    | ~ spl81_27
    | ~ spl81_32
    | ~ spl81_25
    | spl81_1
    | spl81_146
    | spl81_144
    | spl81_142
    | spl81_140
    | spl81_138
    | spl81_136
    | spl81_134
    | spl81_132
    | spl81_131
    | spl81_130
    | spl81_128
    | spl81_126
    | spl81_125
    | spl81_89
    | spl81_88
    | spl81_86
    | spl81_85
    | spl81_83
    | spl81_82
    | spl81_81
    | spl81_123
    | spl81_121
    | spl81_79
    | spl81_77
    | spl81_75
    | spl81_73
    | spl81_71
    | spl81_69
    | spl81_67
    | spl81_65
    | spl81_120
    | spl81_119
    | spl81_63
    | spl81_61
    | spl81_60
    | spl81_59
    | spl81_57
    | spl81_55
    | spl81_53
    | spl81_51
    | spl81_118
    | spl81_116
    | spl81_49
    | spl81_47
    | spl81_45
    | spl81_43
    | spl81_42
    | spl81_41
    | spl81_39
    | spl81_37 ),
    inference(avatar_split_clause,[],[f823,f1006,f1016,f1026,f1031,f1036,f1046,f1056,f1066,f1401,f1411,f1076,f1086,f1096,f1106,f1116,f1121,f1126,f1136,f1416,f1421,f1146,f1156,f1166,f1176,f1186,f1196,f1206,f1216,f1426,f1436,f1226,f1231,f1236,f1246,f1251,f1261,f1266,f1446,f1451,f1461,f1471,f1476,f1481,f1491,f1501,f1511,f1521,f1531,f1541,f1551,f826,f946,f981,f956,f986,f966,f991,f976,f996,f1001,f1276,f1286,f1296,f1301,f1561,f1306,f1316,f1321,f1331,f1566,f1336,f1341,f1351,f1576,f1581,f1361,f1366,f1591,f1371,f1596,f1606,f1611,f1621,f1631,f1641,f1376,f1381,f1386,f1396,f1651]) ).

fof(f1396,plain,
    ( spl81_115
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_115])]) ).

fof(f1381,plain,
    ( spl81_112
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_112])]) ).

fof(f1376,plain,
    ( spl81_111
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_111])]) ).

fof(f1606,plain,
    ( spl81_157
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_157])]) ).

fof(f1371,plain,
    ( spl81_110
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_110])]) ).

fof(f1591,plain,
    ( spl81_154
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_154])]) ).

fof(f1366,plain,
    ( spl81_109
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_109])]) ).

fof(f1361,plain,
    ( spl81_108
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_108])]) ).

fof(f1576,plain,
    ( spl81_151
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_151])]) ).

fof(f1336,plain,
    ( spl81_103
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_103])]) ).

fof(f1331,plain,
    ( spl81_102
  <=> sP21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_102])]) ).

fof(f1316,plain,
    ( spl81_99
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_99])]) ).

fof(f1561,plain,
    ( spl81_148
  <=> sP25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_148])]) ).

fof(f1301,plain,
    ( spl81_96
  <=> sP26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_96])]) ).

fof(f1296,plain,
    ( spl81_95
  <=> sP27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_95])]) ).

fof(f826,plain,
    ( spl81_1
  <=> sP30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_1])]) ).

fof(f1476,plain,
    ( spl81_131
  <=> sP39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_131])]) ).

fof(f1471,plain,
    ( spl81_130
  <=> sP40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_130])]) ).

fof(f1446,plain,
    ( spl81_125
  <=> sP43 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_125])]) ).

fof(f1261,plain,
    ( spl81_88
  <=> sP45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_88])]) ).

fof(f1231,plain,
    ( spl81_82
  <=> sP49 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_82])]) ).

fof(f1226,plain,
    ( spl81_81
  <=> sP50 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_81])]) ).

fof(f1421,plain,
    ( spl81_120
  <=> sP61 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_120])]) ).

fof(f1416,plain,
    ( spl81_119
  <=> sP62 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_119])]) ).

fof(f1121,plain,
    ( spl81_60
  <=> sP65 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_60])]) ).

fof(f1116,plain,
    ( spl81_59
  <=> sP66 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_59])]) ).

fof(f1031,plain,
    ( spl81_42
  <=> sP77 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_42])]) ).

fof(f1026,plain,
    ( spl81_41
  <=> sP78 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_41])]) ).

fof(f823,plain,
    ( sP80
    | sP79
    | sP78
    | sP77
    | sP76
    | sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | e4 != op(e4,unit)
    | e4 != op(unit,e4)
    | e3 != op(e3,unit)
    | e3 != op(unit,e3)
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | unit != op(unit,unit)
    | sP29
    | sP28
    | sP27
    | sP26
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(duplicate_literal_removal,[],[f805]) ).

fof(f805,plain,
    ( sP80
    | sP79
    | sP78
    | sP77
    | sP76
    | sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | e4 != op(e4,unit)
    | e4 != op(unit,e4)
    | e3 != op(e3,unit)
    | e3 != op(unit,e3)
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | unit != op(unit,unit)
    | unit != op(unit,unit)
    | sP29
    | sP28
    | sP27
    | sP26
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(definition_unfolding,[],[f575,f576,f576,f576,f576]) ).

fof(f575,plain,
    ( sP80
    | sP79
    | sP78
    | sP77
    | sP76
    | sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | e4 != op(e4,unit)
    | e4 != op(unit,e4)
    | e3 != op(e3,unit)
    | e3 != op(unit,e3)
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | e0 != op(e0,unit)
    | e0 != op(unit,e0)
    | sP29
    | sP28
    | sP27
    | sP26
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ( sP80
    | sP79
    | sP78
    | sP77
    | sP76
    | sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | e4 != op(e4,unit)
    | e4 != op(unit,e4)
    | e3 != op(e3,unit)
    | e3 != op(unit,e3)
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | e0 != op(e0,unit)
    | e0 != op(unit,e0)
    | sP29
    | sP28
    | sP27
    | sP26
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(definition_folding,[],[f6,f87,f86,f85,f84,f83,f82,f81,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]) ).

fof(f8,plain,
    ( ( e1 != op(e4,e4)
      & e1 != op(e3,e3)
      & e1 != op(e2,e2)
      & e1 != op(e1,e1)
      & e1 != op(e0,e0) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f10,plain,
    ( ( e3 != op(e4,e4)
      & e3 != op(e3,e3)
      & e3 != op(e2,e2)
      & e3 != op(e1,e1)
      & e3 != op(e0,e0) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f11,plain,
    ( ( e4 != op(e4,e4)
      & e4 != op(e3,e3)
      & e4 != op(e2,e2)
      & e4 != op(e1,e1)
      & e4 != op(e0,e0) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f16,plain,
    ( ( e4 != op(e0,e4)
      & e3 != op(e0,e4)
      & e2 != op(e0,e4)
      & e1 != op(e0,e4)
      & e0 != op(e0,e4) )
    | ~ sP9 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f18,plain,
    ( ( e4 != op(e1,e1)
      & e3 != op(e1,e1)
      & e2 != op(e1,e1)
      & e1 != op(e1,e1)
      & e0 != op(e1,e1) )
    | ~ sP11 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f19,plain,
    ( ( e4 != op(e1,e2)
      & e3 != op(e1,e2)
      & e2 != op(e1,e2)
      & e1 != op(e1,e2)
      & e0 != op(e1,e2) )
    | ~ sP12 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f20,plain,
    ( ( e4 != op(e1,e3)
      & e3 != op(e1,e3)
      & e2 != op(e1,e3)
      & e1 != op(e1,e3)
      & e0 != op(e1,e3) )
    | ~ sP13 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f21,plain,
    ( ( e4 != op(e1,e4)
      & e3 != op(e1,e4)
      & e2 != op(e1,e4)
      & e1 != op(e1,e4)
      & e0 != op(e1,e4) )
    | ~ sP14 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f23,plain,
    ( ( e4 != op(e2,e1)
      & e3 != op(e2,e1)
      & e2 != op(e2,e1)
      & e1 != op(e2,e1)
      & e0 != op(e2,e1) )
    | ~ sP16 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f26,plain,
    ( ( e4 != op(e2,e4)
      & e3 != op(e2,e4)
      & e2 != op(e2,e4)
      & e1 != op(e2,e4)
      & e0 != op(e2,e4) )
    | ~ sP19 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).

fof(f28,plain,
    ( ( e4 != op(e3,e1)
      & e3 != op(e3,e1)
      & e2 != op(e3,e1)
      & e1 != op(e3,e1)
      & e0 != op(e3,e1) )
    | ~ sP21 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).

fof(f30,plain,
    ( ( e4 != op(e3,e3)
      & e3 != op(e3,e3)
      & e2 != op(e3,e3)
      & e1 != op(e3,e3)
      & e0 != op(e3,e3) )
    | ~ sP23 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).

fof(f32,plain,
    ( ( e4 != op(e4,e0)
      & e3 != op(e4,e0)
      & e2 != op(e4,e0)
      & e1 != op(e4,e0)
      & e0 != op(e4,e0) )
    | ~ sP25 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).

fof(f33,plain,
    ( ( e4 != op(e4,e1)
      & e3 != op(e4,e1)
      & e2 != op(e4,e1)
      & e1 != op(e4,e1)
      & e0 != op(e4,e1) )
    | ~ sP26 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).

fof(f34,plain,
    ( ( e4 != op(e4,e2)
      & e3 != op(e4,e2)
      & e2 != op(e4,e2)
      & e1 != op(e4,e2)
      & e0 != op(e4,e2) )
    | ~ sP27 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).

fof(f37,plain,
    ( ( e4 != unit
      & e3 != unit
      & e2 != unit
      & e1 != unit
      & e0 != unit )
    | ~ sP30 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).

fof(f46,plain,
    ( ( e4 != op(e0,e4)
      & e4 != op(e0,e3)
      & e4 != op(e0,e2)
      & e4 != op(e0,e1)
      & e4 != op(e0,e0) )
    | ~ sP39 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).

fof(f47,plain,
    ( ( e4 != op(e4,e0)
      & e4 != op(e3,e0)
      & e4 != op(e2,e0)
      & e4 != op(e1,e0)
      & e4 != op(e0,e0) )
    | ~ sP40 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).

fof(f50,plain,
    ( ( e1 != op(e1,e4)
      & e1 != op(e1,e3)
      & e1 != op(e1,e2)
      & e1 != op(e1,e1)
      & e1 != op(e1,e0) )
    | ~ sP43 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).

fof(f52,plain,
    ( ( e2 != op(e1,e4)
      & e2 != op(e1,e3)
      & e2 != op(e1,e2)
      & e2 != op(e1,e1)
      & e2 != op(e1,e0) )
    | ~ sP45 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).

fof(f56,plain,
    ( ( e4 != op(e1,e4)
      & e4 != op(e1,e3)
      & e4 != op(e1,e2)
      & e4 != op(e1,e1)
      & e4 != op(e1,e0) )
    | ~ sP49 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).

fof(f57,plain,
    ( ( e4 != op(e4,e1)
      & e4 != op(e3,e1)
      & e4 != op(e2,e1)
      & e4 != op(e1,e1)
      & e4 != op(e0,e1) )
    | ~ sP50 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).

fof(f68,plain,
    ( ( e0 != op(e3,e4)
      & e0 != op(e3,e3)
      & e0 != op(e3,e2)
      & e0 != op(e3,e1)
      & e0 != op(e3,e0) )
    | ~ sP61 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).

fof(f69,plain,
    ( ( e0 != op(e4,e3)
      & e0 != op(e3,e3)
      & e0 != op(e2,e3)
      & e0 != op(e1,e3)
      & e0 != op(e0,e3) )
    | ~ sP62 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).

fof(f72,plain,
    ( ( e2 != op(e3,e4)
      & e2 != op(e3,e3)
      & e2 != op(e3,e2)
      & e2 != op(e3,e1)
      & e2 != op(e3,e0) )
    | ~ sP65 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).

fof(f73,plain,
    ( ( e2 != op(e4,e3)
      & e2 != op(e3,e3)
      & e2 != op(e2,e3)
      & e2 != op(e1,e3)
      & e2 != op(e0,e3) )
    | ~ sP66 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).

fof(f84,plain,
    ( ( e3 != op(e4,e4)
      & e3 != op(e4,e3)
      & e3 != op(e4,e2)
      & e3 != op(e4,e1)
      & e3 != op(e4,e0) )
    | ~ sP77 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).

fof(f85,plain,
    ( ( e3 != op(e4,e4)
      & e3 != op(e3,e4)
      & e3 != op(e2,e4)
      & e3 != op(e1,e4)
      & e3 != op(e0,e4) )
    | ~ sP78 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).

fof(f6,plain,
    ( ( e4 != op(e4,e4)
      & e4 != op(e3,e4)
      & e4 != op(e2,e4)
      & e4 != op(e1,e4)
      & e4 != op(e0,e4) )
    | ( e4 != op(e4,e4)
      & e4 != op(e4,e3)
      & e4 != op(e4,e2)
      & e4 != op(e4,e1)
      & e4 != op(e4,e0) )
    | ( e3 != op(e4,e4)
      & e3 != op(e3,e4)
      & e3 != op(e2,e4)
      & e3 != op(e1,e4)
      & e3 != op(e0,e4) )
    | ( e3 != op(e4,e4)
      & e3 != op(e4,e3)
      & e3 != op(e4,e2)
      & e3 != op(e4,e1)
      & e3 != op(e4,e0) )
    | ( e2 != op(e4,e4)
      & e2 != op(e3,e4)
      & e2 != op(e2,e4)
      & e2 != op(e1,e4)
      & e2 != op(e0,e4) )
    | ( e2 != op(e4,e4)
      & e2 != op(e4,e3)
      & e2 != op(e4,e2)
      & e2 != op(e4,e1)
      & e2 != op(e4,e0) )
    | ( e1 != op(e4,e4)
      & e1 != op(e3,e4)
      & e1 != op(e2,e4)
      & e1 != op(e1,e4)
      & e1 != op(e0,e4) )
    | ( e1 != op(e4,e4)
      & e1 != op(e4,e3)
      & e1 != op(e4,e2)
      & e1 != op(e4,e1)
      & e1 != op(e4,e0) )
    | ( e0 != op(e4,e4)
      & e0 != op(e3,e4)
      & e0 != op(e2,e4)
      & e0 != op(e1,e4)
      & e0 != op(e0,e4) )
    | ( e0 != op(e4,e4)
      & e0 != op(e4,e3)
      & e0 != op(e4,e2)
      & e0 != op(e4,e1)
      & e0 != op(e4,e0) )
    | ( e4 != op(e4,e3)
      & e4 != op(e3,e3)
      & e4 != op(e2,e3)
      & e4 != op(e1,e3)
      & e4 != op(e0,e3) )
    | ( e4 != op(e3,e4)
      & e4 != op(e3,e3)
      & e4 != op(e3,e2)
      & e4 != op(e3,e1)
      & e4 != op(e3,e0) )
    | ( e3 != op(e4,e3)
      & e3 != op(e3,e3)
      & e3 != op(e2,e3)
      & e3 != op(e1,e3)
      & e3 != op(e0,e3) )
    | ( e3 != op(e3,e4)
      & e3 != op(e3,e3)
      & e3 != op(e3,e2)
      & e3 != op(e3,e1)
      & e3 != op(e3,e0) )
    | ( e2 != op(e4,e3)
      & e2 != op(e3,e3)
      & e2 != op(e2,e3)
      & e2 != op(e1,e3)
      & e2 != op(e0,e3) )
    | ( e2 != op(e3,e4)
      & e2 != op(e3,e3)
      & e2 != op(e3,e2)
      & e2 != op(e3,e1)
      & e2 != op(e3,e0) )
    | ( e1 != op(e4,e3)
      & e1 != op(e3,e3)
      & e1 != op(e2,e3)
      & e1 != op(e1,e3)
      & e1 != op(e0,e3) )
    | ( e1 != op(e3,e4)
      & e1 != op(e3,e3)
      & e1 != op(e3,e2)
      & e1 != op(e3,e1)
      & e1 != op(e3,e0) )
    | ( e0 != op(e4,e3)
      & e0 != op(e3,e3)
      & e0 != op(e2,e3)
      & e0 != op(e1,e3)
      & e0 != op(e0,e3) )
    | ( e0 != op(e3,e4)
      & e0 != op(e3,e3)
      & e0 != op(e3,e2)
      & e0 != op(e3,e1)
      & e0 != op(e3,e0) )
    | ( e4 != op(e4,e2)
      & e4 != op(e3,e2)
      & e4 != op(e2,e2)
      & e4 != op(e1,e2)
      & e4 != op(e0,e2) )
    | ( e4 != op(e2,e4)
      & e4 != op(e2,e3)
      & e4 != op(e2,e2)
      & e4 != op(e2,e1)
      & e4 != op(e2,e0) )
    | ( e3 != op(e4,e2)
      & e3 != op(e3,e2)
      & e3 != op(e2,e2)
      & e3 != op(e1,e2)
      & e3 != op(e0,e2) )
    | ( e3 != op(e2,e4)
      & e3 != op(e2,e3)
      & e3 != op(e2,e2)
      & e3 != op(e2,e1)
      & e3 != op(e2,e0) )
    | ( e2 != op(e4,e2)
      & e2 != op(e3,e2)
      & e2 != op(e2,e2)
      & e2 != op(e1,e2)
      & e2 != op(e0,e2) )
    | ( e2 != op(e2,e4)
      & e2 != op(e2,e3)
      & e2 != op(e2,e2)
      & e2 != op(e2,e1)
      & e2 != op(e2,e0) )
    | ( e1 != op(e4,e2)
      & e1 != op(e3,e2)
      & e1 != op(e2,e2)
      & e1 != op(e1,e2)
      & e1 != op(e0,e2) )
    | ( e1 != op(e2,e4)
      & e1 != op(e2,e3)
      & e1 != op(e2,e2)
      & e1 != op(e2,e1)
      & e1 != op(e2,e0) )
    | ( e0 != op(e4,e2)
      & e0 != op(e3,e2)
      & e0 != op(e2,e2)
      & e0 != op(e1,e2)
      & e0 != op(e0,e2) )
    | ( e0 != op(e2,e4)
      & e0 != op(e2,e3)
      & e0 != op(e2,e2)
      & e0 != op(e2,e1)
      & e0 != op(e2,e0) )
    | ( e4 != op(e4,e1)
      & e4 != op(e3,e1)
      & e4 != op(e2,e1)
      & e4 != op(e1,e1)
      & e4 != op(e0,e1) )
    | ( e4 != op(e1,e4)
      & e4 != op(e1,e3)
      & e4 != op(e1,e2)
      & e4 != op(e1,e1)
      & e4 != op(e1,e0) )
    | ( e3 != op(e4,e1)
      & e3 != op(e3,e1)
      & e3 != op(e2,e1)
      & e3 != op(e1,e1)
      & e3 != op(e0,e1) )
    | ( e3 != op(e1,e4)
      & e3 != op(e1,e3)
      & e3 != op(e1,e2)
      & e3 != op(e1,e1)
      & e3 != op(e1,e0) )
    | ( e2 != op(e4,e1)
      & e2 != op(e3,e1)
      & e2 != op(e2,e1)
      & e2 != op(e1,e1)
      & e2 != op(e0,e1) )
    | ( e2 != op(e1,e4)
      & e2 != op(e1,e3)
      & e2 != op(e1,e2)
      & e2 != op(e1,e1)
      & e2 != op(e1,e0) )
    | ( e1 != op(e4,e1)
      & e1 != op(e3,e1)
      & e1 != op(e2,e1)
      & e1 != op(e1,e1)
      & e1 != op(e0,e1) )
    | ( e1 != op(e1,e4)
      & e1 != op(e1,e3)
      & e1 != op(e1,e2)
      & e1 != op(e1,e1)
      & e1 != op(e1,e0) )
    | ( e0 != op(e4,e1)
      & e0 != op(e3,e1)
      & e0 != op(e2,e1)
      & e0 != op(e1,e1)
      & e0 != op(e0,e1) )
    | ( e0 != op(e1,e4)
      & e0 != op(e1,e3)
      & e0 != op(e1,e2)
      & e0 != op(e1,e1)
      & e0 != op(e1,e0) )
    | ( e4 != op(e4,e0)
      & e4 != op(e3,e0)
      & e4 != op(e2,e0)
      & e4 != op(e1,e0)
      & e4 != op(e0,e0) )
    | ( e4 != op(e0,e4)
      & e4 != op(e0,e3)
      & e4 != op(e0,e2)
      & e4 != op(e0,e1)
      & e4 != op(e0,e0) )
    | ( e3 != op(e4,e0)
      & e3 != op(e3,e0)
      & e3 != op(e2,e0)
      & e3 != op(e1,e0)
      & e3 != op(e0,e0) )
    | ( e3 != op(e0,e4)
      & e3 != op(e0,e3)
      & e3 != op(e0,e2)
      & e3 != op(e0,e1)
      & e3 != op(e0,e0) )
    | ( e2 != op(e4,e0)
      & e2 != op(e3,e0)
      & e2 != op(e2,e0)
      & e2 != op(e1,e0)
      & e2 != op(e0,e0) )
    | ( e2 != op(e0,e4)
      & e2 != op(e0,e3)
      & e2 != op(e0,e2)
      & e2 != op(e0,e1)
      & e2 != op(e0,e0) )
    | ( e1 != op(e4,e0)
      & e1 != op(e3,e0)
      & e1 != op(e2,e0)
      & e1 != op(e1,e0)
      & e1 != op(e0,e0) )
    | ( e1 != op(e0,e4)
      & e1 != op(e0,e3)
      & e1 != op(e0,e2)
      & e1 != op(e0,e1)
      & e1 != op(e0,e0) )
    | ( e0 != op(e4,e0)
      & e0 != op(e3,e0)
      & e0 != op(e2,e0)
      & e0 != op(e1,e0)
      & e0 != op(e0,e0) )
    | ( e0 != op(e0,e4)
      & e0 != op(e0,e3)
      & e0 != op(e0,e2)
      & e0 != op(e0,e1)
      & e0 != op(e0,e0) )
    | ( e4 != unit
      & e3 != unit
      & e2 != unit
      & e1 != unit
      & e0 != unit )
    | e4 != op(e4,unit)
    | e4 != op(unit,e4)
    | e3 != op(e3,unit)
    | e3 != op(unit,e3)
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | e0 != op(e0,unit)
    | e0 != op(unit,e0)
    | ( e4 != op(e4,e4)
      & e3 != op(e4,e4)
      & e2 != op(e4,e4)
      & e1 != op(e4,e4)
      & e0 != op(e4,e4) )
    | ( e4 != op(e4,e3)
      & e3 != op(e4,e3)
      & e2 != op(e4,e3)
      & e1 != op(e4,e3)
      & e0 != op(e4,e3) )
    | ( e4 != op(e4,e2)
      & e3 != op(e4,e2)
      & e2 != op(e4,e2)
      & e1 != op(e4,e2)
      & e0 != op(e4,e2) )
    | ( e4 != op(e4,e1)
      & e3 != op(e4,e1)
      & e2 != op(e4,e1)
      & e1 != op(e4,e1)
      & e0 != op(e4,e1) )
    | ( e4 != op(e4,e0)
      & e3 != op(e4,e0)
      & e2 != op(e4,e0)
      & e1 != op(e4,e0)
      & e0 != op(e4,e0) )
    | ( e4 != op(e3,e4)
      & e3 != op(e3,e4)
      & e2 != op(e3,e4)
      & e1 != op(e3,e4)
      & e0 != op(e3,e4) )
    | ( e4 != op(e3,e3)
      & e3 != op(e3,e3)
      & e2 != op(e3,e3)
      & e1 != op(e3,e3)
      & e0 != op(e3,e3) )
    | ( e4 != op(e3,e2)
      & e3 != op(e3,e2)
      & e2 != op(e3,e2)
      & e1 != op(e3,e2)
      & e0 != op(e3,e2) )
    | ( e4 != op(e3,e1)
      & e3 != op(e3,e1)
      & e2 != op(e3,e1)
      & e1 != op(e3,e1)
      & e0 != op(e3,e1) )
    | ( e4 != op(e3,e0)
      & e3 != op(e3,e0)
      & e2 != op(e3,e0)
      & e1 != op(e3,e0)
      & e0 != op(e3,e0) )
    | ( e4 != op(e2,e4)
      & e3 != op(e2,e4)
      & e2 != op(e2,e4)
      & e1 != op(e2,e4)
      & e0 != op(e2,e4) )
    | ( e4 != op(e2,e3)
      & e3 != op(e2,e3)
      & e2 != op(e2,e3)
      & e1 != op(e2,e3)
      & e0 != op(e2,e3) )
    | ( e4 != op(e2,e2)
      & e3 != op(e2,e2)
      & e2 != op(e2,e2)
      & e1 != op(e2,e2)
      & e0 != op(e2,e2) )
    | ( e4 != op(e2,e1)
      & e3 != op(e2,e1)
      & e2 != op(e2,e1)
      & e1 != op(e2,e1)
      & e0 != op(e2,e1) )
    | ( e4 != op(e2,e0)
      & e3 != op(e2,e0)
      & e2 != op(e2,e0)
      & e1 != op(e2,e0)
      & e0 != op(e2,e0) )
    | ( e4 != op(e1,e4)
      & e3 != op(e1,e4)
      & e2 != op(e1,e4)
      & e1 != op(e1,e4)
      & e0 != op(e1,e4) )
    | ( e4 != op(e1,e3)
      & e3 != op(e1,e3)
      & e2 != op(e1,e3)
      & e1 != op(e1,e3)
      & e0 != op(e1,e3) )
    | ( e4 != op(e1,e2)
      & e3 != op(e1,e2)
      & e2 != op(e1,e2)
      & e1 != op(e1,e2)
      & e0 != op(e1,e2) )
    | ( e4 != op(e1,e1)
      & e3 != op(e1,e1)
      & e2 != op(e1,e1)
      & e1 != op(e1,e1)
      & e0 != op(e1,e1) )
    | ( e4 != op(e1,e0)
      & e3 != op(e1,e0)
      & e2 != op(e1,e0)
      & e1 != op(e1,e0)
      & e0 != op(e1,e0) )
    | ( e4 != op(e0,e4)
      & e3 != op(e0,e4)
      & e2 != op(e0,e4)
      & e1 != op(e0,e4)
      & e0 != op(e0,e4) )
    | ( e4 != op(e0,e3)
      & e3 != op(e0,e3)
      & e2 != op(e0,e3)
      & e1 != op(e0,e3)
      & e0 != op(e0,e3) )
    | ( e4 != op(e0,e2)
      & e3 != op(e0,e2)
      & e2 != op(e0,e2)
      & e1 != op(e0,e2)
      & e0 != op(e0,e2) )
    | ( e4 != op(e0,e1)
      & e3 != op(e0,e1)
      & e2 != op(e0,e1)
      & e1 != op(e0,e1)
      & e0 != op(e0,e1) )
    | ( e4 != op(e0,e0)
      & e3 != op(e0,e0)
      & e2 != op(e0,e0)
      & e1 != op(e0,e0)
      & e0 != op(e0,e0) )
    | ( e4 != op(e4,e4)
      & e4 != op(e3,e3)
      & e4 != op(e2,e2)
      & e4 != op(e1,e1)
      & e4 != op(e0,e0) )
    | ( e3 != op(e4,e4)
      & e3 != op(e3,e3)
      & e3 != op(e2,e2)
      & e3 != op(e1,e1)
      & e3 != op(e0,e0) )
    | ( e2 != op(e4,e4)
      & e2 != op(e3,e3)
      & e2 != op(e2,e2)
      & e2 != op(e1,e1)
      & e2 != op(e0,e0) )
    | ( e1 != op(e4,e4)
      & e1 != op(e3,e3)
      & e1 != op(e2,e2)
      & e1 != op(e1,e1)
      & e1 != op(e0,e0) )
    | ( e0 != op(e4,e4)
      & e0 != op(e3,e3)
      & e0 != op(e2,e2)
      & e0 != op(e1,e1)
      & e0 != op(e0,e0) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,negated_conjecture,
    ~ ( ( e4 = op(e4,e4)
        | e4 = op(e3,e4)
        | e4 = op(e2,e4)
        | e4 = op(e1,e4)
        | e4 = op(e0,e4) )
      & ( e4 = op(e4,e4)
        | e4 = op(e4,e3)
        | e4 = op(e4,e2)
        | e4 = op(e4,e1)
        | e4 = op(e4,e0) )
      & ( e3 = op(e4,e4)
        | e3 = op(e3,e4)
        | e3 = op(e2,e4)
        | e3 = op(e1,e4)
        | e3 = op(e0,e4) )
      & ( e3 = op(e4,e4)
        | e3 = op(e4,e3)
        | e3 = op(e4,e2)
        | e3 = op(e4,e1)
        | e3 = op(e4,e0) )
      & ( e2 = op(e4,e4)
        | e2 = op(e3,e4)
        | e2 = op(e2,e4)
        | e2 = op(e1,e4)
        | e2 = op(e0,e4) )
      & ( e2 = op(e4,e4)
        | e2 = op(e4,e3)
        | e2 = op(e4,e2)
        | e2 = op(e4,e1)
        | e2 = op(e4,e0) )
      & ( e1 = op(e4,e4)
        | e1 = op(e3,e4)
        | e1 = op(e2,e4)
        | e1 = op(e1,e4)
        | e1 = op(e0,e4) )
      & ( e1 = op(e4,e4)
        | e1 = op(e4,e3)
        | e1 = op(e4,e2)
        | e1 = op(e4,e1)
        | e1 = op(e4,e0) )
      & ( e0 = op(e4,e4)
        | e0 = op(e3,e4)
        | e0 = op(e2,e4)
        | e0 = op(e1,e4)
        | e0 = op(e0,e4) )
      & ( e0 = op(e4,e4)
        | e0 = op(e4,e3)
        | e0 = op(e4,e2)
        | e0 = op(e4,e1)
        | e0 = op(e4,e0) )
      & ( e4 = op(e4,e3)
        | e4 = op(e3,e3)
        | e4 = op(e2,e3)
        | e4 = op(e1,e3)
        | e4 = op(e0,e3) )
      & ( e4 = op(e3,e4)
        | e4 = op(e3,e3)
        | e4 = op(e3,e2)
        | e4 = op(e3,e1)
        | e4 = op(e3,e0) )
      & ( e3 = op(e4,e3)
        | e3 = op(e3,e3)
        | e3 = op(e2,e3)
        | e3 = op(e1,e3)
        | e3 = op(e0,e3) )
      & ( e3 = op(e3,e4)
        | e3 = op(e3,e3)
        | e3 = op(e3,e2)
        | e3 = op(e3,e1)
        | e3 = op(e3,e0) )
      & ( e2 = op(e4,e3)
        | e2 = op(e3,e3)
        | e2 = op(e2,e3)
        | e2 = op(e1,e3)
        | e2 = op(e0,e3) )
      & ( e2 = op(e3,e4)
        | e2 = op(e3,e3)
        | e2 = op(e3,e2)
        | e2 = op(e3,e1)
        | e2 = op(e3,e0) )
      & ( e1 = op(e4,e3)
        | e1 = op(e3,e3)
        | e1 = op(e2,e3)
        | e1 = op(e1,e3)
        | e1 = op(e0,e3) )
      & ( e1 = op(e3,e4)
        | e1 = op(e3,e3)
        | e1 = op(e3,e2)
        | e1 = op(e3,e1)
        | e1 = op(e3,e0) )
      & ( e0 = op(e4,e3)
        | e0 = op(e3,e3)
        | e0 = op(e2,e3)
        | e0 = op(e1,e3)
        | e0 = op(e0,e3) )
      & ( e0 = op(e3,e4)
        | e0 = op(e3,e3)
        | e0 = op(e3,e2)
        | e0 = op(e3,e1)
        | e0 = op(e3,e0) )
      & ( e4 = op(e4,e2)
        | e4 = op(e3,e2)
        | e4 = op(e2,e2)
        | e4 = op(e1,e2)
        | e4 = op(e0,e2) )
      & ( e4 = op(e2,e4)
        | e4 = op(e2,e3)
        | e4 = op(e2,e2)
        | e4 = op(e2,e1)
        | e4 = op(e2,e0) )
      & ( e3 = op(e4,e2)
        | e3 = op(e3,e2)
        | e3 = op(e2,e2)
        | e3 = op(e1,e2)
        | e3 = op(e0,e2) )
      & ( e3 = op(e2,e4)
        | e3 = op(e2,e3)
        | e3 = op(e2,e2)
        | e3 = op(e2,e1)
        | e3 = op(e2,e0) )
      & ( e2 = op(e4,e2)
        | e2 = op(e3,e2)
        | e2 = op(e2,e2)
        | e2 = op(e1,e2)
        | e2 = op(e0,e2) )
      & ( e2 = op(e2,e4)
        | e2 = op(e2,e3)
        | e2 = op(e2,e2)
        | e2 = op(e2,e1)
        | e2 = op(e2,e0) )
      & ( e1 = op(e4,e2)
        | e1 = op(e3,e2)
        | e1 = op(e2,e2)
        | e1 = op(e1,e2)
        | e1 = op(e0,e2) )
      & ( e1 = op(e2,e4)
        | e1 = op(e2,e3)
        | e1 = op(e2,e2)
        | e1 = op(e2,e1)
        | e1 = op(e2,e0) )
      & ( e0 = op(e4,e2)
        | e0 = op(e3,e2)
        | e0 = op(e2,e2)
        | e0 = op(e1,e2)
        | e0 = op(e0,e2) )
      & ( e0 = op(e2,e4)
        | e0 = op(e2,e3)
        | e0 = op(e2,e2)
        | e0 = op(e2,e1)
        | e0 = op(e2,e0) )
      & ( e4 = op(e4,e1)
        | e4 = op(e3,e1)
        | e4 = op(e2,e1)
        | e4 = op(e1,e1)
        | e4 = op(e0,e1) )
      & ( e4 = op(e1,e4)
        | e4 = op(e1,e3)
        | e4 = op(e1,e2)
        | e4 = op(e1,e1)
        | e4 = op(e1,e0) )
      & ( e3 = op(e4,e1)
        | e3 = op(e3,e1)
        | e3 = op(e2,e1)
        | e3 = op(e1,e1)
        | e3 = op(e0,e1) )
      & ( e3 = op(e1,e4)
        | e3 = op(e1,e3)
        | e3 = op(e1,e2)
        | e3 = op(e1,e1)
        | e3 = op(e1,e0) )
      & ( e2 = op(e4,e1)
        | e2 = op(e3,e1)
        | e2 = op(e2,e1)
        | e2 = op(e1,e1)
        | e2 = op(e0,e1) )
      & ( e2 = op(e1,e4)
        | e2 = op(e1,e3)
        | e2 = op(e1,e2)
        | e2 = op(e1,e1)
        | e2 = op(e1,e0) )
      & ( e1 = op(e4,e1)
        | e1 = op(e3,e1)
        | e1 = op(e2,e1)
        | e1 = op(e1,e1)
        | e1 = op(e0,e1) )
      & ( e1 = op(e1,e4)
        | e1 = op(e1,e3)
        | e1 = op(e1,e2)
        | e1 = op(e1,e1)
        | e1 = op(e1,e0) )
      & ( e0 = op(e4,e1)
        | e0 = op(e3,e1)
        | e0 = op(e2,e1)
        | e0 = op(e1,e1)
        | e0 = op(e0,e1) )
      & ( e0 = op(e1,e4)
        | e0 = op(e1,e3)
        | e0 = op(e1,e2)
        | e0 = op(e1,e1)
        | e0 = op(e1,e0) )
      & ( e4 = op(e4,e0)
        | e4 = op(e3,e0)
        | e4 = op(e2,e0)
        | e4 = op(e1,e0)
        | e4 = op(e0,e0) )
      & ( e4 = op(e0,e4)
        | e4 = op(e0,e3)
        | e4 = op(e0,e2)
        | e4 = op(e0,e1)
        | e4 = op(e0,e0) )
      & ( e3 = op(e4,e0)
        | e3 = op(e3,e0)
        | e3 = op(e2,e0)
        | e3 = op(e1,e0)
        | e3 = op(e0,e0) )
      & ( e3 = op(e0,e4)
        | e3 = op(e0,e3)
        | e3 = op(e0,e2)
        | e3 = op(e0,e1)
        | e3 = op(e0,e0) )
      & ( e2 = op(e4,e0)
        | e2 = op(e3,e0)
        | e2 = op(e2,e0)
        | e2 = op(e1,e0)
        | e2 = op(e0,e0) )
      & ( e2 = op(e0,e4)
        | e2 = op(e0,e3)
        | e2 = op(e0,e2)
        | e2 = op(e0,e1)
        | e2 = op(e0,e0) )
      & ( e1 = op(e4,e0)
        | e1 = op(e3,e0)
        | e1 = op(e2,e0)
        | e1 = op(e1,e0)
        | e1 = op(e0,e0) )
      & ( e1 = op(e0,e4)
        | e1 = op(e0,e3)
        | e1 = op(e0,e2)
        | e1 = op(e0,e1)
        | e1 = op(e0,e0) )
      & ( e0 = op(e4,e0)
        | e0 = op(e3,e0)
        | e0 = op(e2,e0)
        | e0 = op(e1,e0)
        | e0 = op(e0,e0) )
      & ( e0 = op(e0,e4)
        | e0 = op(e0,e3)
        | e0 = op(e0,e2)
        | e0 = op(e0,e1)
        | e0 = op(e0,e0) )
      & ( e4 = unit
        | e3 = unit
        | e2 = unit
        | e1 = unit
        | e0 = unit )
      & e4 = op(e4,unit)
      & e4 = op(unit,e4)
      & e3 = op(e3,unit)
      & e3 = op(unit,e3)
      & e2 = op(e2,unit)
      & e2 = op(unit,e2)
      & e1 = op(e1,unit)
      & e1 = op(unit,e1)
      & e0 = op(e0,unit)
      & e0 = op(unit,e0)
      & ( e4 = op(e4,e4)
        | e3 = op(e4,e4)
        | e2 = op(e4,e4)
        | e1 = op(e4,e4)
        | e0 = op(e4,e4) )
      & ( e4 = op(e4,e3)
        | e3 = op(e4,e3)
        | e2 = op(e4,e3)
        | e1 = op(e4,e3)
        | e0 = op(e4,e3) )
      & ( e4 = op(e4,e2)
        | e3 = op(e4,e2)
        | e2 = op(e4,e2)
        | e1 = op(e4,e2)
        | e0 = op(e4,e2) )
      & ( e4 = op(e4,e1)
        | e3 = op(e4,e1)
        | e2 = op(e4,e1)
        | e1 = op(e4,e1)
        | e0 = op(e4,e1) )
      & ( e4 = op(e4,e0)
        | e3 = op(e4,e0)
        | e2 = op(e4,e0)
        | e1 = op(e4,e0)
        | e0 = op(e4,e0) )
      & ( e4 = op(e3,e4)
        | e3 = op(e3,e4)
        | e2 = op(e3,e4)
        | e1 = op(e3,e4)
        | e0 = op(e3,e4) )
      & ( e4 = op(e3,e3)
        | e3 = op(e3,e3)
        | e2 = op(e3,e3)
        | e1 = op(e3,e3)
        | e0 = op(e3,e3) )
      & ( e4 = op(e3,e2)
        | e3 = op(e3,e2)
        | e2 = op(e3,e2)
        | e1 = op(e3,e2)
        | e0 = op(e3,e2) )
      & ( e4 = op(e3,e1)
        | e3 = op(e3,e1)
        | e2 = op(e3,e1)
        | e1 = op(e3,e1)
        | e0 = op(e3,e1) )
      & ( e4 = op(e3,e0)
        | e3 = op(e3,e0)
        | e2 = op(e3,e0)
        | e1 = op(e3,e0)
        | e0 = op(e3,e0) )
      & ( e4 = op(e2,e4)
        | e3 = op(e2,e4)
        | e2 = op(e2,e4)
        | e1 = op(e2,e4)
        | e0 = op(e2,e4) )
      & ( e4 = op(e2,e3)
        | e3 = op(e2,e3)
        | e2 = op(e2,e3)
        | e1 = op(e2,e3)
        | e0 = op(e2,e3) )
      & ( e4 = op(e2,e2)
        | e3 = op(e2,e2)
        | e2 = op(e2,e2)
        | e1 = op(e2,e2)
        | e0 = op(e2,e2) )
      & ( e4 = op(e2,e1)
        | e3 = op(e2,e1)
        | e2 = op(e2,e1)
        | e1 = op(e2,e1)
        | e0 = op(e2,e1) )
      & ( e4 = op(e2,e0)
        | e3 = op(e2,e0)
        | e2 = op(e2,e0)
        | e1 = op(e2,e0)
        | e0 = op(e2,e0) )
      & ( e4 = op(e1,e4)
        | e3 = op(e1,e4)
        | e2 = op(e1,e4)
        | e1 = op(e1,e4)
        | e0 = op(e1,e4) )
      & ( e4 = op(e1,e3)
        | e3 = op(e1,e3)
        | e2 = op(e1,e3)
        | e1 = op(e1,e3)
        | e0 = op(e1,e3) )
      & ( e4 = op(e1,e2)
        | e3 = op(e1,e2)
        | e2 = op(e1,e2)
        | e1 = op(e1,e2)
        | e0 = op(e1,e2) )
      & ( e4 = op(e1,e1)
        | e3 = op(e1,e1)
        | e2 = op(e1,e1)
        | e1 = op(e1,e1)
        | e0 = op(e1,e1) )
      & ( e4 = op(e1,e0)
        | e3 = op(e1,e0)
        | e2 = op(e1,e0)
        | e1 = op(e1,e0)
        | e0 = op(e1,e0) )
      & ( e4 = op(e0,e4)
        | e3 = op(e0,e4)
        | e2 = op(e0,e4)
        | e1 = op(e0,e4)
        | e0 = op(e0,e4) )
      & ( e4 = op(e0,e3)
        | e3 = op(e0,e3)
        | e2 = op(e0,e3)
        | e1 = op(e0,e3)
        | e0 = op(e0,e3) )
      & ( e4 = op(e0,e2)
        | e3 = op(e0,e2)
        | e2 = op(e0,e2)
        | e1 = op(e0,e2)
        | e0 = op(e0,e2) )
      & ( e4 = op(e0,e1)
        | e3 = op(e0,e1)
        | e2 = op(e0,e1)
        | e1 = op(e0,e1)
        | e0 = op(e0,e1) )
      & ( e4 = op(e0,e0)
        | e3 = op(e0,e0)
        | e2 = op(e0,e0)
        | e1 = op(e0,e0)
        | e0 = op(e0,e0) )
      & ( e4 = op(e4,e4)
        | e4 = op(e3,e3)
        | e4 = op(e2,e2)
        | e4 = op(e1,e1)
        | e4 = op(e0,e0) )
      & ( e3 = op(e4,e4)
        | e3 = op(e3,e3)
        | e3 = op(e2,e2)
        | e3 = op(e1,e1)
        | e3 = op(e0,e0) )
      & ( e2 = op(e4,e4)
        | e2 = op(e3,e3)
        | e2 = op(e2,e2)
        | e2 = op(e1,e1)
        | e2 = op(e0,e0) )
      & ( e1 = op(e4,e4)
        | e1 = op(e3,e3)
        | e1 = op(e2,e2)
        | e1 = op(e1,e1)
        | e1 = op(e0,e0) )
      & ( e0 = op(e4,e4)
        | e0 = op(e3,e3)
        | e0 = op(e2,e2)
        | e0 = op(e1,e1)
        | e0 = op(e0,e0) ) ),
    inference(negated_conjecture,[],[f4]) ).

fof(f4,conjecture,
    ( ( e4 = op(e4,e4)
      | e4 = op(e3,e4)
      | e4 = op(e2,e4)
      | e4 = op(e1,e4)
      | e4 = op(e0,e4) )
    & ( e4 = op(e4,e4)
      | e4 = op(e4,e3)
      | e4 = op(e4,e2)
      | e4 = op(e4,e1)
      | e4 = op(e4,e0) )
    & ( e3 = op(e4,e4)
      | e3 = op(e3,e4)
      | e3 = op(e2,e4)
      | e3 = op(e1,e4)
      | e3 = op(e0,e4) )
    & ( e3 = op(e4,e4)
      | e3 = op(e4,e3)
      | e3 = op(e4,e2)
      | e3 = op(e4,e1)
      | e3 = op(e4,e0) )
    & ( e2 = op(e4,e4)
      | e2 = op(e3,e4)
      | e2 = op(e2,e4)
      | e2 = op(e1,e4)
      | e2 = op(e0,e4) )
    & ( e2 = op(e4,e4)
      | e2 = op(e4,e3)
      | e2 = op(e4,e2)
      | e2 = op(e4,e1)
      | e2 = op(e4,e0) )
    & ( e1 = op(e4,e4)
      | e1 = op(e3,e4)
      | e1 = op(e2,e4)
      | e1 = op(e1,e4)
      | e1 = op(e0,e4) )
    & ( e1 = op(e4,e4)
      | e1 = op(e4,e3)
      | e1 = op(e4,e2)
      | e1 = op(e4,e1)
      | e1 = op(e4,e0) )
    & ( e0 = op(e4,e4)
      | e0 = op(e3,e4)
      | e0 = op(e2,e4)
      | e0 = op(e1,e4)
      | e0 = op(e0,e4) )
    & ( e0 = op(e4,e4)
      | e0 = op(e4,e3)
      | e0 = op(e4,e2)
      | e0 = op(e4,e1)
      | e0 = op(e4,e0) )
    & ( e4 = op(e4,e3)
      | e4 = op(e3,e3)
      | e4 = op(e2,e3)
      | e4 = op(e1,e3)
      | e4 = op(e0,e3) )
    & ( e4 = op(e3,e4)
      | e4 = op(e3,e3)
      | e4 = op(e3,e2)
      | e4 = op(e3,e1)
      | e4 = op(e3,e0) )
    & ( e3 = op(e4,e3)
      | e3 = op(e3,e3)
      | e3 = op(e2,e3)
      | e3 = op(e1,e3)
      | e3 = op(e0,e3) )
    & ( e3 = op(e3,e4)
      | e3 = op(e3,e3)
      | e3 = op(e3,e2)
      | e3 = op(e3,e1)
      | e3 = op(e3,e0) )
    & ( e2 = op(e4,e3)
      | e2 = op(e3,e3)
      | e2 = op(e2,e3)
      | e2 = op(e1,e3)
      | e2 = op(e0,e3) )
    & ( e2 = op(e3,e4)
      | e2 = op(e3,e3)
      | e2 = op(e3,e2)
      | e2 = op(e3,e1)
      | e2 = op(e3,e0) )
    & ( e1 = op(e4,e3)
      | e1 = op(e3,e3)
      | e1 = op(e2,e3)
      | e1 = op(e1,e3)
      | e1 = op(e0,e3) )
    & ( e1 = op(e3,e4)
      | e1 = op(e3,e3)
      | e1 = op(e3,e2)
      | e1 = op(e3,e1)
      | e1 = op(e3,e0) )
    & ( e0 = op(e4,e3)
      | e0 = op(e3,e3)
      | e0 = op(e2,e3)
      | e0 = op(e1,e3)
      | e0 = op(e0,e3) )
    & ( e0 = op(e3,e4)
      | e0 = op(e3,e3)
      | e0 = op(e3,e2)
      | e0 = op(e3,e1)
      | e0 = op(e3,e0) )
    & ( e4 = op(e4,e2)
      | e4 = op(e3,e2)
      | e4 = op(e2,e2)
      | e4 = op(e1,e2)
      | e4 = op(e0,e2) )
    & ( e4 = op(e2,e4)
      | e4 = op(e2,e3)
      | e4 = op(e2,e2)
      | e4 = op(e2,e1)
      | e4 = op(e2,e0) )
    & ( e3 = op(e4,e2)
      | e3 = op(e3,e2)
      | e3 = op(e2,e2)
      | e3 = op(e1,e2)
      | e3 = op(e0,e2) )
    & ( e3 = op(e2,e4)
      | e3 = op(e2,e3)
      | e3 = op(e2,e2)
      | e3 = op(e2,e1)
      | e3 = op(e2,e0) )
    & ( e2 = op(e4,e2)
      | e2 = op(e3,e2)
      | e2 = op(e2,e2)
      | e2 = op(e1,e2)
      | e2 = op(e0,e2) )
    & ( e2 = op(e2,e4)
      | e2 = op(e2,e3)
      | e2 = op(e2,e2)
      | e2 = op(e2,e1)
      | e2 = op(e2,e0) )
    & ( e1 = op(e4,e2)
      | e1 = op(e3,e2)
      | e1 = op(e2,e2)
      | e1 = op(e1,e2)
      | e1 = op(e0,e2) )
    & ( e1 = op(e2,e4)
      | e1 = op(e2,e3)
      | e1 = op(e2,e2)
      | e1 = op(e2,e1)
      | e1 = op(e2,e0) )
    & ( e0 = op(e4,e2)
      | e0 = op(e3,e2)
      | e0 = op(e2,e2)
      | e0 = op(e1,e2)
      | e0 = op(e0,e2) )
    & ( e0 = op(e2,e4)
      | e0 = op(e2,e3)
      | e0 = op(e2,e2)
      | e0 = op(e2,e1)
      | e0 = op(e2,e0) )
    & ( e4 = op(e4,e1)
      | e4 = op(e3,e1)
      | e4 = op(e2,e1)
      | e4 = op(e1,e1)
      | e4 = op(e0,e1) )
    & ( e4 = op(e1,e4)
      | e4 = op(e1,e3)
      | e4 = op(e1,e2)
      | e4 = op(e1,e1)
      | e4 = op(e1,e0) )
    & ( e3 = op(e4,e1)
      | e3 = op(e3,e1)
      | e3 = op(e2,e1)
      | e3 = op(e1,e1)
      | e3 = op(e0,e1) )
    & ( e3 = op(e1,e4)
      | e3 = op(e1,e3)
      | e3 = op(e1,e2)
      | e3 = op(e1,e1)
      | e3 = op(e1,e0) )
    & ( e2 = op(e4,e1)
      | e2 = op(e3,e1)
      | e2 = op(e2,e1)
      | e2 = op(e1,e1)
      | e2 = op(e0,e1) )
    & ( e2 = op(e1,e4)
      | e2 = op(e1,e3)
      | e2 = op(e1,e2)
      | e2 = op(e1,e1)
      | e2 = op(e1,e0) )
    & ( e1 = op(e4,e1)
      | e1 = op(e3,e1)
      | e1 = op(e2,e1)
      | e1 = op(e1,e1)
      | e1 = op(e0,e1) )
    & ( e1 = op(e1,e4)
      | e1 = op(e1,e3)
      | e1 = op(e1,e2)
      | e1 = op(e1,e1)
      | e1 = op(e1,e0) )
    & ( e0 = op(e4,e1)
      | e0 = op(e3,e1)
      | e0 = op(e2,e1)
      | e0 = op(e1,e1)
      | e0 = op(e0,e1) )
    & ( e0 = op(e1,e4)
      | e0 = op(e1,e3)
      | e0 = op(e1,e2)
      | e0 = op(e1,e1)
      | e0 = op(e1,e0) )
    & ( e4 = op(e4,e0)
      | e4 = op(e3,e0)
      | e4 = op(e2,e0)
      | e4 = op(e1,e0)
      | e4 = op(e0,e0) )
    & ( e4 = op(e0,e4)
      | e4 = op(e0,e3)
      | e4 = op(e0,e2)
      | e4 = op(e0,e1)
      | e4 = op(e0,e0) )
    & ( e3 = op(e4,e0)
      | e3 = op(e3,e0)
      | e3 = op(e2,e0)
      | e3 = op(e1,e0)
      | e3 = op(e0,e0) )
    & ( e3 = op(e0,e4)
      | e3 = op(e0,e3)
      | e3 = op(e0,e2)
      | e3 = op(e0,e1)
      | e3 = op(e0,e0) )
    & ( e2 = op(e4,e0)
      | e2 = op(e3,e0)
      | e2 = op(e2,e0)
      | e2 = op(e1,e0)
      | e2 = op(e0,e0) )
    & ( e2 = op(e0,e4)
      | e2 = op(e0,e3)
      | e2 = op(e0,e2)
      | e2 = op(e0,e1)
      | e2 = op(e0,e0) )
    & ( e1 = op(e4,e0)
      | e1 = op(e3,e0)
      | e1 = op(e2,e0)
      | e1 = op(e1,e0)
      | e1 = op(e0,e0) )
    & ( e1 = op(e0,e4)
      | e1 = op(e0,e3)
      | e1 = op(e0,e2)
      | e1 = op(e0,e1)
      | e1 = op(e0,e0) )
    & ( e0 = op(e4,e0)
      | e0 = op(e3,e0)
      | e0 = op(e2,e0)
      | e0 = op(e1,e0)
      | e0 = op(e0,e0) )
    & ( e0 = op(e0,e4)
      | e0 = op(e0,e3)
      | e0 = op(e0,e2)
      | e0 = op(e0,e1)
      | e0 = op(e0,e0) )
    & ( e4 = unit
      | e3 = unit
      | e2 = unit
      | e1 = unit
      | e0 = unit )
    & e4 = op(e4,unit)
    & e4 = op(unit,e4)
    & e3 = op(e3,unit)
    & e3 = op(unit,e3)
    & e2 = op(e2,unit)
    & e2 = op(unit,e2)
    & e1 = op(e1,unit)
    & e1 = op(unit,e1)
    & e0 = op(e0,unit)
    & e0 = op(unit,e0)
    & ( e4 = op(e4,e4)
      | e3 = op(e4,e4)
      | e2 = op(e4,e4)
      | e1 = op(e4,e4)
      | e0 = op(e4,e4) )
    & ( e4 = op(e4,e3)
      | e3 = op(e4,e3)
      | e2 = op(e4,e3)
      | e1 = op(e4,e3)
      | e0 = op(e4,e3) )
    & ( e4 = op(e4,e2)
      | e3 = op(e4,e2)
      | e2 = op(e4,e2)
      | e1 = op(e4,e2)
      | e0 = op(e4,e2) )
    & ( e4 = op(e4,e1)
      | e3 = op(e4,e1)
      | e2 = op(e4,e1)
      | e1 = op(e4,e1)
      | e0 = op(e4,e1) )
    & ( e4 = op(e4,e0)
      | e3 = op(e4,e0)
      | e2 = op(e4,e0)
      | e1 = op(e4,e0)
      | e0 = op(e4,e0) )
    & ( e4 = op(e3,e4)
      | e3 = op(e3,e4)
      | e2 = op(e3,e4)
      | e1 = op(e3,e4)
      | e0 = op(e3,e4) )
    & ( e4 = op(e3,e3)
      | e3 = op(e3,e3)
      | e2 = op(e3,e3)
      | e1 = op(e3,e3)
      | e0 = op(e3,e3) )
    & ( e4 = op(e3,e2)
      | e3 = op(e3,e2)
      | e2 = op(e3,e2)
      | e1 = op(e3,e2)
      | e0 = op(e3,e2) )
    & ( e4 = op(e3,e1)
      | e3 = op(e3,e1)
      | e2 = op(e3,e1)
      | e1 = op(e3,e1)
      | e0 = op(e3,e1) )
    & ( e4 = op(e3,e0)
      | e3 = op(e3,e0)
      | e2 = op(e3,e0)
      | e1 = op(e3,e0)
      | e0 = op(e3,e0) )
    & ( e4 = op(e2,e4)
      | e3 = op(e2,e4)
      | e2 = op(e2,e4)
      | e1 = op(e2,e4)
      | e0 = op(e2,e4) )
    & ( e4 = op(e2,e3)
      | e3 = op(e2,e3)
      | e2 = op(e2,e3)
      | e1 = op(e2,e3)
      | e0 = op(e2,e3) )
    & ( e4 = op(e2,e2)
      | e3 = op(e2,e2)
      | e2 = op(e2,e2)
      | e1 = op(e2,e2)
      | e0 = op(e2,e2) )
    & ( e4 = op(e2,e1)
      | e3 = op(e2,e1)
      | e2 = op(e2,e1)
      | e1 = op(e2,e1)
      | e0 = op(e2,e1) )
    & ( e4 = op(e2,e0)
      | e3 = op(e2,e0)
      | e2 = op(e2,e0)
      | e1 = op(e2,e0)
      | e0 = op(e2,e0) )
    & ( e4 = op(e1,e4)
      | e3 = op(e1,e4)
      | e2 = op(e1,e4)
      | e1 = op(e1,e4)
      | e0 = op(e1,e4) )
    & ( e4 = op(e1,e3)
      | e3 = op(e1,e3)
      | e2 = op(e1,e3)
      | e1 = op(e1,e3)
      | e0 = op(e1,e3) )
    & ( e4 = op(e1,e2)
      | e3 = op(e1,e2)
      | e2 = op(e1,e2)
      | e1 = op(e1,e2)
      | e0 = op(e1,e2) )
    & ( e4 = op(e1,e1)
      | e3 = op(e1,e1)
      | e2 = op(e1,e1)
      | e1 = op(e1,e1)
      | e0 = op(e1,e1) )
    & ( e4 = op(e1,e0)
      | e3 = op(e1,e0)
      | e2 = op(e1,e0)
      | e1 = op(e1,e0)
      | e0 = op(e1,e0) )
    & ( e4 = op(e0,e4)
      | e3 = op(e0,e4)
      | e2 = op(e0,e4)
      | e1 = op(e0,e4)
      | e0 = op(e0,e4) )
    & ( e4 = op(e0,e3)
      | e3 = op(e0,e3)
      | e2 = op(e0,e3)
      | e1 = op(e0,e3)
      | e0 = op(e0,e3) )
    & ( e4 = op(e0,e2)
      | e3 = op(e0,e2)
      | e2 = op(e0,e2)
      | e1 = op(e0,e2)
      | e0 = op(e0,e2) )
    & ( e4 = op(e0,e1)
      | e3 = op(e0,e1)
      | e2 = op(e0,e1)
      | e1 = op(e0,e1)
      | e0 = op(e0,e1) )
    & ( e4 = op(e0,e0)
      | e3 = op(e0,e0)
      | e2 = op(e0,e0)
      | e1 = op(e0,e0)
      | e0 = op(e0,e0) )
    & ( e4 = op(e4,e4)
      | e4 = op(e3,e3)
      | e4 = op(e2,e2)
      | e4 = op(e1,e1)
      | e4 = op(e0,e0) )
    & ( e3 = op(e4,e4)
      | e3 = op(e3,e3)
      | e3 = op(e2,e2)
      | e3 = op(e1,e1)
      | e3 = op(e0,e0) )
    & ( e2 = op(e4,e4)
      | e2 = op(e3,e3)
      | e2 = op(e2,e2)
      | e2 = op(e1,e1)
      | e2 = op(e0,e0) )
    & ( e1 = op(e4,e4)
      | e1 = op(e3,e3)
      | e1 = op(e2,e2)
      | e1 = op(e1,e1)
      | e1 = op(e0,e0) )
    & ( e0 = op(e4,e4)
      | e0 = op(e3,e3)
      | e0 = op(e2,e2)
      | e0 = op(e1,e1)
      | e0 = op(e0,e0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1654,plain,
    ( ~ spl81_166
    | ~ spl81_117 ),
    inference(avatar_split_clause,[],[f800,f1405,f1651]) ).

fof(f1405,plain,
    ( spl81_117
  <=> op(e4,e4) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_117])]) ).

fof(f800,plain,
    ( op(e4,e4) != unit
    | ~ sP0 ),
    inference(definition_unfolding,[],[f574,f576]) ).

fof(f574,plain,
    ( e0 != op(e4,e4)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f1648,plain,
    ( ~ spl81_164
    | ~ spl81_165 ),
    inference(avatar_split_clause,[],[f791,f1645,f1641]) ).

fof(f1645,plain,
    ( spl81_165
  <=> e4 = op(unit,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_165])]) ).

fof(f791,plain,
    ( e4 != op(unit,unit)
    | ~ sP5 ),
    inference(definition_unfolding,[],[f549,f576,f576]) ).

fof(f549,plain,
    ( e4 != op(e0,e0)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f164]) ).

fof(f1638,plain,
    ( ~ spl81_162
    | ~ spl81_163 ),
    inference(avatar_split_clause,[],[f786,f1635,f1631]) ).

fof(f1635,plain,
    ( spl81_163
  <=> e4 = op(unit,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_163])]) ).

fof(f786,plain,
    ( e4 != op(unit,e1)
    | ~ sP6 ),
    inference(definition_unfolding,[],[f544,f576]) ).

fof(f544,plain,
    ( e4 != op(e0,e1)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f163]) ).

fof(f1628,plain,
    ( ~ spl81_160
    | ~ spl81_161 ),
    inference(avatar_split_clause,[],[f781,f1625,f1621]) ).

fof(f1625,plain,
    ( spl81_161
  <=> e4 = op(unit,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_161])]) ).

fof(f781,plain,
    ( e4 != op(unit,e2)
    | ~ sP7 ),
    inference(definition_unfolding,[],[f539,f576]) ).

fof(f539,plain,
    ( e4 != op(e0,e2)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f162]) ).

fof(f1618,plain,
    ( ~ spl81_158
    | ~ spl81_159 ),
    inference(avatar_split_clause,[],[f776,f1615,f1611]) ).

fof(f1615,plain,
    ( spl81_159
  <=> e4 = op(unit,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_159])]) ).

fof(f776,plain,
    ( e4 != op(unit,e3)
    | ~ sP8 ),
    inference(definition_unfolding,[],[f534,f576]) ).

fof(f534,plain,
    ( e4 != op(e0,e3)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f161]) ).

fof(f1609,plain,
    ( ~ spl81_157
    | ~ spl81_32 ),
    inference(avatar_split_clause,[],[f771,f981,f1606]) ).

fof(f771,plain,
    ( e4 != op(unit,e4)
    | ~ sP9 ),
    inference(definition_unfolding,[],[f529,f576]) ).

fof(f529,plain,
    ( e4 != op(e0,e4)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f160]) ).

fof(f160,plain,
    ( ( e4 != op(e0,e4)
      & e3 != op(e0,e4)
      & e2 != op(e0,e4)
      & e1 != op(e0,e4)
      & e0 != op(e0,e4) )
    | ~ sP9 ),
    inference(nnf_transformation,[],[f16]) ).

fof(f1603,plain,
    ( ~ spl81_155
    | ~ spl81_156 ),
    inference(avatar_split_clause,[],[f766,f1600,f1596]) ).

fof(f1600,plain,
    ( spl81_156
  <=> e4 = op(e1,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_156])]) ).

fof(f766,plain,
    ( e4 != op(e1,unit)
    | ~ sP10 ),
    inference(definition_unfolding,[],[f524,f576]) ).

fof(f524,plain,
    ( e4 != op(e1,e0)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f159]) ).

fof(f1594,plain,
    ( ~ spl81_154
    | ~ spl81_30 ),
    inference(avatar_split_clause,[],[f764,f971,f1591]) ).

fof(f764,plain,
    ( op(e1,e2) != unit
    | ~ sP12 ),
    inference(definition_unfolding,[],[f510,f576]) ).

fof(f510,plain,
    ( e0 != op(e1,e2)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ( ( e4 != op(e1,e2)
      & e3 != op(e1,e2)
      & e2 != op(e1,e2)
      & e1 != op(e1,e2)
      & e0 != op(e1,e2) )
    | ~ sP12 ),
    inference(nnf_transformation,[],[f19]) ).

fof(f1588,plain,
    ( ~ spl81_152
    | ~ spl81_153 ),
    inference(avatar_split_clause,[],[f757,f1585,f1581]) ).

fof(f1585,plain,
    ( spl81_153
  <=> e4 = op(e2,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_153])]) ).

fof(f757,plain,
    ( e4 != op(e2,unit)
    | ~ sP15 ),
    inference(definition_unfolding,[],[f499,f576]) ).

fof(f499,plain,
    ( e4 != op(e2,e0)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f154]) ).

fof(f1579,plain,
    ( ~ spl81_151
    | ~ spl81_28 ),
    inference(avatar_split_clause,[],[f756,f961,f1576]) ).

fof(f756,plain,
    ( op(e2,e1) != unit
    | ~ sP16 ),
    inference(definition_unfolding,[],[f490,f576]) ).

fof(f490,plain,
    ( e0 != op(e2,e1)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ( ( e4 != op(e2,e1)
      & e3 != op(e2,e1)
      & e2 != op(e2,e1)
      & e1 != op(e2,e1)
      & e0 != op(e2,e1) )
    | ~ sP16 ),
    inference(nnf_transformation,[],[f23]) ).

fof(f1573,plain,
    ( ~ spl81_149
    | ~ spl81_150 ),
    inference(avatar_split_clause,[],[f748,f1570,f1566]) ).

fof(f1570,plain,
    ( spl81_150
  <=> e4 = op(e3,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_150])]) ).

fof(f748,plain,
    ( e4 != op(e3,unit)
    | ~ sP20 ),
    inference(definition_unfolding,[],[f474,f576]) ).

fof(f474,plain,
    ( e4 != op(e3,e0)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f149]) ).

fof(f1564,plain,
    ( ~ spl81_148
    | ~ spl81_25 ),
    inference(avatar_split_clause,[],[f739,f946,f1561]) ).

fof(f739,plain,
    ( e4 != op(e4,unit)
    | ~ sP25 ),
    inference(definition_unfolding,[],[f449,f576]) ).

fof(f449,plain,
    ( e4 != op(e4,e0)
    | ~ sP25 ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ( ( e4 != op(e4,e0)
      & e3 != op(e4,e0)
      & e2 != op(e4,e0)
      & e1 != op(e4,e0)
      & e0 != op(e4,e0) )
    | ~ sP25 ),
    inference(nnf_transformation,[],[f32]) ).

fof(f1558,plain,
    ( ~ spl81_146
    | ~ spl81_147 ),
    inference(avatar_split_clause,[],[f729,f1555,f1551]) ).

fof(f1555,plain,
    ( spl81_147
  <=> unit = op(unit,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_147])]) ).

fof(f729,plain,
    ( unit != op(unit,e4)
    | ~ sP31 ),
    inference(definition_unfolding,[],[f419,f576,f576]) ).

fof(f419,plain,
    ( e0 != op(e0,e4)
    | ~ sP31 ),
    inference(cnf_transformation,[],[f138]) ).

fof(f1548,plain,
    ( ~ spl81_144
    | ~ spl81_145 ),
    inference(avatar_split_clause,[],[f724,f1545,f1541]) ).

fof(f1545,plain,
    ( spl81_145
  <=> unit = op(e4,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_145])]) ).

fof(f724,plain,
    ( unit != op(e4,unit)
    | ~ sP32 ),
    inference(definition_unfolding,[],[f414,f576,f576]) ).

fof(f414,plain,
    ( e0 != op(e4,e0)
    | ~ sP32 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f1538,plain,
    ( ~ spl81_142
    | ~ spl81_143 ),
    inference(avatar_split_clause,[],[f719,f1535,f1531]) ).

fof(f1535,plain,
    ( spl81_143
  <=> e1 = op(unit,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_143])]) ).

fof(f719,plain,
    ( e1 != op(unit,e4)
    | ~ sP33 ),
    inference(definition_unfolding,[],[f409,f576]) ).

fof(f409,plain,
    ( e1 != op(e0,e4)
    | ~ sP33 ),
    inference(cnf_transformation,[],[f136]) ).

fof(f1528,plain,
    ( ~ spl81_140
    | ~ spl81_141 ),
    inference(avatar_split_clause,[],[f714,f1525,f1521]) ).

fof(f1525,plain,
    ( spl81_141
  <=> e1 = op(e4,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_141])]) ).

fof(f714,plain,
    ( e1 != op(e4,unit)
    | ~ sP34 ),
    inference(definition_unfolding,[],[f404,f576]) ).

fof(f404,plain,
    ( e1 != op(e4,e0)
    | ~ sP34 ),
    inference(cnf_transformation,[],[f135]) ).

fof(f1518,plain,
    ( ~ spl81_138
    | ~ spl81_139 ),
    inference(avatar_split_clause,[],[f709,f1515,f1511]) ).

fof(f1515,plain,
    ( spl81_139
  <=> e2 = op(unit,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_139])]) ).

fof(f709,plain,
    ( e2 != op(unit,e4)
    | ~ sP35 ),
    inference(definition_unfolding,[],[f399,f576]) ).

fof(f399,plain,
    ( e2 != op(e0,e4)
    | ~ sP35 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f1508,plain,
    ( ~ spl81_136
    | ~ spl81_137 ),
    inference(avatar_split_clause,[],[f704,f1505,f1501]) ).

fof(f1505,plain,
    ( spl81_137
  <=> e2 = op(e4,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_137])]) ).

fof(f704,plain,
    ( e2 != op(e4,unit)
    | ~ sP36 ),
    inference(definition_unfolding,[],[f394,f576]) ).

fof(f394,plain,
    ( e2 != op(e4,e0)
    | ~ sP36 ),
    inference(cnf_transformation,[],[f133]) ).

fof(f1498,plain,
    ( ~ spl81_134
    | ~ spl81_135 ),
    inference(avatar_split_clause,[],[f699,f1495,f1491]) ).

fof(f1495,plain,
    ( spl81_135
  <=> e3 = op(unit,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_135])]) ).

fof(f699,plain,
    ( e3 != op(unit,e4)
    | ~ sP37 ),
    inference(definition_unfolding,[],[f389,f576]) ).

fof(f389,plain,
    ( e3 != op(e0,e4)
    | ~ sP37 ),
    inference(cnf_transformation,[],[f132]) ).

fof(f1488,plain,
    ( ~ spl81_132
    | ~ spl81_133 ),
    inference(avatar_split_clause,[],[f694,f1485,f1481]) ).

fof(f1485,plain,
    ( spl81_133
  <=> e3 = op(e4,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_133])]) ).

fof(f694,plain,
    ( e3 != op(e4,unit)
    | ~ sP38 ),
    inference(definition_unfolding,[],[f384,f576]) ).

fof(f384,plain,
    ( e3 != op(e4,e0)
    | ~ sP38 ),
    inference(cnf_transformation,[],[f131]) ).

fof(f1479,plain,
    ( ~ spl81_131
    | ~ spl81_32 ),
    inference(avatar_split_clause,[],[f689,f981,f1476]) ).

fof(f689,plain,
    ( e4 != op(unit,e4)
    | ~ sP39 ),
    inference(definition_unfolding,[],[f379,f576]) ).

fof(f379,plain,
    ( e4 != op(e0,e4)
    | ~ sP39 ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ( ( e4 != op(e0,e4)
      & e4 != op(e0,e3)
      & e4 != op(e0,e2)
      & e4 != op(e0,e1)
      & e4 != op(e0,e0) )
    | ~ sP39 ),
    inference(nnf_transformation,[],[f46]) ).

fof(f1474,plain,
    ( ~ spl81_130
    | ~ spl81_25 ),
    inference(avatar_split_clause,[],[f684,f946,f1471]) ).

fof(f684,plain,
    ( e4 != op(e4,unit)
    | ~ sP40 ),
    inference(definition_unfolding,[],[f374,f576]) ).

fof(f374,plain,
    ( e4 != op(e4,e0)
    | ~ sP40 ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ( ( e4 != op(e4,e0)
      & e4 != op(e3,e0)
      & e4 != op(e2,e0)
      & e4 != op(e1,e0)
      & e4 != op(e0,e0) )
    | ~ sP40 ),
    inference(nnf_transformation,[],[f47]) ).

fof(f1468,plain,
    ( ~ spl81_128
    | ~ spl81_129 ),
    inference(avatar_split_clause,[],[f679,f1465,f1461]) ).

fof(f1465,plain,
    ( spl81_129
  <=> op(e1,e4) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_129])]) ).

fof(f679,plain,
    ( op(e1,e4) != unit
    | ~ sP41 ),
    inference(definition_unfolding,[],[f369,f576]) ).

fof(f369,plain,
    ( e0 != op(e1,e4)
    | ~ sP41 ),
    inference(cnf_transformation,[],[f128]) ).

fof(f1458,plain,
    ( ~ spl81_126
    | ~ spl81_127 ),
    inference(avatar_split_clause,[],[f674,f1455,f1451]) ).

fof(f1455,plain,
    ( spl81_127
  <=> op(e4,e1) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_127])]) ).

fof(f674,plain,
    ( op(e4,e1) != unit
    | ~ sP42 ),
    inference(definition_unfolding,[],[f364,f576]) ).

fof(f364,plain,
    ( e0 != op(e4,e1)
    | ~ sP42 ),
    inference(cnf_transformation,[],[f127]) ).

fof(f1449,plain,
    ( ~ spl81_125
    | ~ spl81_31 ),
    inference(avatar_split_clause,[],[f673,f976,f1446]) ).

fof(f673,plain,
    ( e1 != op(e1,unit)
    | ~ sP43 ),
    inference(definition_unfolding,[],[f355,f576]) ).

fof(f355,plain,
    ( e1 != op(e1,e0)
    | ~ sP43 ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( ( e1 != op(e1,e4)
      & e1 != op(e1,e3)
      & e1 != op(e1,e2)
      & e1 != op(e1,e1)
      & e1 != op(e1,e0) )
    | ~ sP43 ),
    inference(nnf_transformation,[],[f50]) ).

fof(f1443,plain,
    ( ~ spl81_123
    | ~ spl81_124 ),
    inference(avatar_split_clause,[],[f661,f1440,f1436]) ).

fof(f1440,plain,
    ( spl81_124
  <=> op(e2,e4) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_124])]) ).

fof(f661,plain,
    ( op(e2,e4) != unit
    | ~ sP51 ),
    inference(definition_unfolding,[],[f319,f576]) ).

fof(f319,plain,
    ( e0 != op(e2,e4)
    | ~ sP51 ),
    inference(cnf_transformation,[],[f118]) ).

fof(f1433,plain,
    ( ~ spl81_121
    | ~ spl81_122 ),
    inference(avatar_split_clause,[],[f656,f1430,f1426]) ).

fof(f1430,plain,
    ( spl81_122
  <=> op(e4,e2) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_122])]) ).

fof(f656,plain,
    ( op(e4,e2) != unit
    | ~ sP52 ),
    inference(definition_unfolding,[],[f314,f576]) ).

fof(f314,plain,
    ( e0 != op(e4,e2)
    | ~ sP52 ),
    inference(cnf_transformation,[],[f117]) ).

fof(f1424,plain,
    ( ~ spl81_120
    | ~ spl81_26 ),
    inference(avatar_split_clause,[],[f643,f951,f1421]) ).

fof(f643,plain,
    ( op(e3,e4) != unit
    | ~ sP61 ),
    inference(definition_unfolding,[],[f269,f576]) ).

fof(f269,plain,
    ( e0 != op(e3,e4)
    | ~ sP61 ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ( ( e0 != op(e3,e4)
      & e0 != op(e3,e3)
      & e0 != op(e3,e2)
      & e0 != op(e3,e1)
      & e0 != op(e3,e0) )
    | ~ sP61 ),
    inference(nnf_transformation,[],[f68]) ).

fof(f1419,plain,
    ( ~ spl81_119
    | ~ spl81_24 ),
    inference(avatar_split_clause,[],[f638,f941,f1416]) ).

fof(f638,plain,
    ( op(e4,e3) != unit
    | ~ sP62 ),
    inference(definition_unfolding,[],[f264,f576]) ).

fof(f264,plain,
    ( e0 != op(e4,e3)
    | ~ sP62 ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ( ( e0 != op(e4,e3)
      & e0 != op(e3,e3)
      & e0 != op(e2,e3)
      & e0 != op(e1,e3)
      & e0 != op(e0,e3) )
    | ~ sP62 ),
    inference(nnf_transformation,[],[f69]) ).

fof(f1414,plain,
    ( ~ spl81_118
    | ~ spl81_117 ),
    inference(avatar_split_clause,[],[f625,f1405,f1411]) ).

fof(f625,plain,
    ( op(e4,e4) != unit
    | ~ sP71 ),
    inference(definition_unfolding,[],[f219,f576]) ).

fof(f219,plain,
    ( e0 != op(e4,e4)
    | ~ sP71 ),
    inference(cnf_transformation,[],[f98]) ).

fof(f1408,plain,
    ( ~ spl81_116
    | ~ spl81_117 ),
    inference(avatar_split_clause,[],[f620,f1405,f1401]) ).

fof(f620,plain,
    ( op(e4,e4) != unit
    | ~ sP72 ),
    inference(definition_unfolding,[],[f214,f576]) ).

fof(f214,plain,
    ( e0 != op(e4,e4)
    | ~ sP72 ),
    inference(cnf_transformation,[],[f97]) ).

fof(f1399,plain,
    ( ~ spl81_115
    | ~ spl81_20 ),
    inference(avatar_split_clause,[],[f568,f921,f1396]) ).

fof(f568,plain,
    ( e1 != op(e3,e3)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f168]) ).

fof(f168,plain,
    ( ( e1 != op(e4,e4)
      & e1 != op(e3,e3)
      & e1 != op(e2,e2)
      & e1 != op(e1,e1)
      & e1 != op(e0,e0) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f8]) ).

fof(f1393,plain,
    ( ~ spl81_113
    | ~ spl81_114 ),
    inference(avatar_split_clause,[],[f562,f1390,f1386]) ).

fof(f1390,plain,
    ( spl81_114
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_114])]) ).

fof(f562,plain,
    ( e2 != op(e2,e2)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f167]) ).

fof(f1384,plain,
    ( ~ spl81_112
    | ~ spl81_15 ),
    inference(avatar_split_clause,[],[f557,f896,f1381]) ).

fof(f557,plain,
    ( e3 != op(e2,e2)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f166]) ).

fof(f166,plain,
    ( ( e3 != op(e4,e4)
      & e3 != op(e3,e3)
      & e3 != op(e2,e2)
      & e3 != op(e1,e1)
      & e3 != op(e0,e0) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f10]) ).

fof(f1379,plain,
    ( ~ spl81_111
    | ~ spl81_12 ),
    inference(avatar_split_clause,[],[f551,f881,f1376]) ).

fof(f881,plain,
    ( spl81_12
  <=> e4 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_12])]) ).

fof(f551,plain,
    ( e4 != op(e1,e1)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f165]) ).

fof(f165,plain,
    ( ( e4 != op(e4,e4)
      & e4 != op(e3,e3)
      & e4 != op(e2,e2)
      & e4 != op(e1,e1)
      & e4 != op(e0,e0) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f11]) ).

fof(f1374,plain,
    ( ~ spl81_110
    | ~ spl81_12 ),
    inference(avatar_split_clause,[],[f519,f881,f1371]) ).

fof(f519,plain,
    ( e4 != op(e1,e1)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f158]) ).

fof(f158,plain,
    ( ( e4 != op(e1,e1)
      & e3 != op(e1,e1)
      & e2 != op(e1,e1)
      & e1 != op(e1,e1)
      & e0 != op(e1,e1) )
    | ~ sP11 ),
    inference(nnf_transformation,[],[f18]) ).

fof(f1369,plain,
    ( ~ spl81_109
    | ~ spl81_13 ),
    inference(avatar_split_clause,[],[f507,f886,f1366]) ).

fof(f886,plain,
    ( spl81_13
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_13])]) ).

fof(f507,plain,
    ( e2 != op(e1,e3)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f156]) ).

fof(f156,plain,
    ( ( e4 != op(e1,e3)
      & e3 != op(e1,e3)
      & e2 != op(e1,e3)
      & e1 != op(e1,e3)
      & e0 != op(e1,e3) )
    | ~ sP13 ),
    inference(nnf_transformation,[],[f20]) ).

fof(f1364,plain,
    ( ~ spl81_108
    | ~ spl81_14 ),
    inference(avatar_split_clause,[],[f503,f891,f1361]) ).

fof(f503,plain,
    ( e3 != op(e1,e4)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ( ( e4 != op(e1,e4)
      & e3 != op(e1,e4)
      & e2 != op(e1,e4)
      & e1 != op(e1,e4)
      & e0 != op(e1,e4) )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f21]) ).

fof(f1358,plain,
    ( ~ spl81_106
    | ~ spl81_107 ),
    inference(avatar_split_clause,[],[f486,f1355,f1351]) ).

fof(f1355,plain,
    ( spl81_107
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_107])]) ).

fof(f486,plain,
    ( e1 != op(e2,e2)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f152]) ).

fof(f1348,plain,
    ( ~ spl81_104
    | ~ spl81_105 ),
    inference(avatar_split_clause,[],[f481,f1345,f1341]) ).

fof(f1345,plain,
    ( spl81_105
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_105])]) ).

fof(f481,plain,
    ( e1 != op(e2,e3)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f151]) ).

fof(f1339,plain,
    ( ~ spl81_103
    | ~ spl81_17 ),
    inference(avatar_split_clause,[],[f476,f906,f1336]) ).

fof(f476,plain,
    ( e1 != op(e2,e4)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ( ( e4 != op(e2,e4)
      & e3 != op(e2,e4)
      & e2 != op(e2,e4)
      & e1 != op(e2,e4)
      & e0 != op(e2,e4) )
    | ~ sP19 ),
    inference(nnf_transformation,[],[f26]) ).

fof(f1334,plain,
    ( ~ spl81_102
    | ~ spl81_18 ),
    inference(avatar_split_clause,[],[f467,f911,f1331]) ).

fof(f467,plain,
    ( e2 != op(e3,e1)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ( ( e4 != op(e3,e1)
      & e3 != op(e3,e1)
      & e2 != op(e3,e1)
      & e1 != op(e3,e1)
      & e0 != op(e3,e1) )
    | ~ sP21 ),
    inference(nnf_transformation,[],[f28]) ).

fof(f1328,plain,
    ( ~ spl81_100
    | ~ spl81_101 ),
    inference(avatar_split_clause,[],[f461,f1325,f1321]) ).

fof(f1325,plain,
    ( spl81_101
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_101])]) ).

fof(f461,plain,
    ( e1 != op(e3,e2)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f147]) ).

fof(f1319,plain,
    ( ~ spl81_99
    | ~ spl81_20 ),
    inference(avatar_split_clause,[],[f456,f921,f1316]) ).

fof(f456,plain,
    ( e1 != op(e3,e3)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ( ( e4 != op(e3,e3)
      & e3 != op(e3,e3)
      & e2 != op(e3,e3)
      & e1 != op(e3,e3)
      & e0 != op(e3,e3) )
    | ~ sP23 ),
    inference(nnf_transformation,[],[f30]) ).

fof(f1313,plain,
    ( ~ spl81_97
    | ~ spl81_98 ),
    inference(avatar_split_clause,[],[f451,f1310,f1306]) ).

fof(f1310,plain,
    ( spl81_98
  <=> e1 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_98])]) ).

fof(f451,plain,
    ( e1 != op(e3,e4)
    | ~ sP24 ),
    inference(cnf_transformation,[],[f145]) ).

fof(f1304,plain,
    ( ~ spl81_96
    | ~ spl81_21 ),
    inference(avatar_split_clause,[],[f443,f926,f1301]) ).

fof(f443,plain,
    ( e3 != op(e4,e1)
    | ~ sP26 ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ( ( e4 != op(e4,e1)
      & e3 != op(e4,e1)
      & e2 != op(e4,e1)
      & e1 != op(e4,e1)
      & e0 != op(e4,e1) )
    | ~ sP26 ),
    inference(nnf_transformation,[],[f33]) ).

fof(f1299,plain,
    ( ~ spl81_95
    | ~ spl81_22 ),
    inference(avatar_split_clause,[],[f436,f931,f1296]) ).

fof(f436,plain,
    ( e1 != op(e4,e2)
    | ~ sP27 ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ( ( e4 != op(e4,e2)
      & e3 != op(e4,e2)
      & e2 != op(e4,e2)
      & e1 != op(e4,e2)
      & e0 != op(e4,e2) )
    | ~ sP27 ),
    inference(nnf_transformation,[],[f34]) ).

fof(f1293,plain,
    ( ~ spl81_93
    | ~ spl81_94 ),
    inference(avatar_split_clause,[],[f431,f1290,f1286]) ).

fof(f1290,plain,
    ( spl81_94
  <=> e1 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_94])]) ).

fof(f431,plain,
    ( e1 != op(e4,e3)
    | ~ sP28 ),
    inference(cnf_transformation,[],[f141]) ).

fof(f1283,plain,
    ( ~ spl81_91
    | ~ spl81_92 ),
    inference(avatar_split_clause,[],[f426,f1280,f1276]) ).

fof(f1280,plain,
    ( spl81_92
  <=> e1 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_92])]) ).

fof(f426,plain,
    ( e1 != op(e4,e4)
    | ~ sP29 ),
    inference(cnf_transformation,[],[f140]) ).

fof(f1273,plain,
    ( ~ spl81_89
    | ~ spl81_90 ),
    inference(avatar_split_clause,[],[f351,f1270,f1266]) ).

fof(f1270,plain,
    ( spl81_90
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_90])]) ).

fof(f351,plain,
    ( e1 != op(e1,e1)
    | ~ sP44 ),
    inference(cnf_transformation,[],[f125]) ).

fof(f1264,plain,
    ( ~ spl81_88
    | ~ spl81_13 ),
    inference(avatar_split_clause,[],[f348,f886,f1261]) ).

fof(f348,plain,
    ( e2 != op(e1,e3)
    | ~ sP45 ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ( ( e2 != op(e1,e4)
      & e2 != op(e1,e3)
      & e2 != op(e1,e2)
      & e2 != op(e1,e1)
      & e2 != op(e1,e0) )
    | ~ sP45 ),
    inference(nnf_transformation,[],[f52]) ).

fof(f1258,plain,
    ( ~ spl81_86
    | ~ spl81_87 ),
    inference(avatar_split_clause,[],[f341,f1255,f1251]) ).

fof(f1255,plain,
    ( spl81_87
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_87])]) ).

fof(f341,plain,
    ( e2 != op(e1,e1)
    | ~ sP46 ),
    inference(cnf_transformation,[],[f123]) ).

fof(f1249,plain,
    ( ~ spl81_85
    | ~ spl81_56 ),
    inference(avatar_split_clause,[],[f338,f1100,f1246]) ).

fof(f1100,plain,
    ( spl81_56
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_56])]) ).

fof(f338,plain,
    ( e3 != op(e1,e3)
    | ~ sP47 ),
    inference(cnf_transformation,[],[f122]) ).

fof(f1243,plain,
    ( ~ spl81_83
    | ~ spl81_84 ),
    inference(avatar_split_clause,[],[f331,f1240,f1236]) ).

fof(f1240,plain,
    ( spl81_84
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_84])]) ).

fof(f331,plain,
    ( e3 != op(e1,e1)
    | ~ sP48 ),
    inference(cnf_transformation,[],[f121]) ).

fof(f1234,plain,
    ( ~ spl81_82
    | ~ spl81_12 ),
    inference(avatar_split_clause,[],[f326,f881,f1231]) ).

fof(f326,plain,
    ( e4 != op(e1,e1)
    | ~ sP49 ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ( ( e4 != op(e1,e4)
      & e4 != op(e1,e3)
      & e4 != op(e1,e2)
      & e4 != op(e1,e1)
      & e4 != op(e1,e0) )
    | ~ sP49 ),
    inference(nnf_transformation,[],[f56]) ).

fof(f1229,plain,
    ( ~ spl81_81
    | ~ spl81_12 ),
    inference(avatar_split_clause,[],[f321,f881,f1226]) ).

fof(f321,plain,
    ( e4 != op(e1,e1)
    | ~ sP50 ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ( ( e4 != op(e4,e1)
      & e4 != op(e3,e1)
      & e4 != op(e2,e1)
      & e4 != op(e1,e1)
      & e4 != op(e0,e1) )
    | ~ sP50 ),
    inference(nnf_transformation,[],[f57]) ).

fof(f1223,plain,
    ( ~ spl81_79
    | ~ spl81_80 ),
    inference(avatar_split_clause,[],[f306,f1220,f1216]) ).

fof(f1220,plain,
    ( spl81_80
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_80])]) ).

fof(f306,plain,
    ( e1 != op(e2,e1)
    | ~ sP53 ),
    inference(cnf_transformation,[],[f116]) ).

fof(f1213,plain,
    ( ~ spl81_77
    | ~ spl81_78 ),
    inference(avatar_split_clause,[],[f301,f1210,f1206]) ).

fof(f1210,plain,
    ( spl81_78
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_78])]) ).

fof(f301,plain,
    ( e1 != op(e1,e2)
    | ~ sP54 ),
    inference(cnf_transformation,[],[f115]) ).

fof(f1203,plain,
    ( ~ spl81_75
    | ~ spl81_76 ),
    inference(avatar_split_clause,[],[f296,f1200,f1196]) ).

fof(f1200,plain,
    ( spl81_76
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_76])]) ).

fof(f296,plain,
    ( e2 != op(e2,e1)
    | ~ sP55 ),
    inference(cnf_transformation,[],[f114]) ).

fof(f1193,plain,
    ( ~ spl81_73
    | ~ spl81_74 ),
    inference(avatar_split_clause,[],[f291,f1190,f1186]) ).

fof(f1190,plain,
    ( spl81_74
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_74])]) ).

fof(f291,plain,
    ( e2 != op(e1,e2)
    | ~ sP56 ),
    inference(cnf_transformation,[],[f113]) ).

fof(f1183,plain,
    ( ~ spl81_71
    | ~ spl81_72 ),
    inference(avatar_split_clause,[],[f286,f1180,f1176]) ).

fof(f1180,plain,
    ( spl81_72
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_72])]) ).

fof(f286,plain,
    ( e3 != op(e2,e1)
    | ~ sP57 ),
    inference(cnf_transformation,[],[f112]) ).

fof(f1173,plain,
    ( ~ spl81_69
    | ~ spl81_70 ),
    inference(avatar_split_clause,[],[f281,f1170,f1166]) ).

fof(f1170,plain,
    ( spl81_70
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_70])]) ).

fof(f281,plain,
    ( e3 != op(e1,e2)
    | ~ sP58 ),
    inference(cnf_transformation,[],[f111]) ).

fof(f1163,plain,
    ( ~ spl81_67
    | ~ spl81_68 ),
    inference(avatar_split_clause,[],[f276,f1160,f1156]) ).

fof(f1160,plain,
    ( spl81_68
  <=> e4 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_68])]) ).

fof(f276,plain,
    ( e4 != op(e2,e1)
    | ~ sP59 ),
    inference(cnf_transformation,[],[f110]) ).

fof(f1153,plain,
    ( ~ spl81_65
    | ~ spl81_66 ),
    inference(avatar_split_clause,[],[f271,f1150,f1146]) ).

fof(f1150,plain,
    ( spl81_66
  <=> e4 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_66])]) ).

fof(f271,plain,
    ( e4 != op(e1,e2)
    | ~ sP60 ),
    inference(cnf_transformation,[],[f109]) ).

fof(f1143,plain,
    ( ~ spl81_63
    | ~ spl81_64 ),
    inference(avatar_split_clause,[],[f256,f1140,f1136]) ).

fof(f1140,plain,
    ( spl81_64
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_64])]) ).

fof(f256,plain,
    ( e1 != op(e3,e1)
    | ~ sP63 ),
    inference(cnf_transformation,[],[f106]) ).

fof(f1133,plain,
    ( ~ spl81_61
    | ~ spl81_62 ),
    inference(avatar_split_clause,[],[f251,f1130,f1126]) ).

fof(f1130,plain,
    ( spl81_62
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_62])]) ).

fof(f251,plain,
    ( e1 != op(e1,e3)
    | ~ sP64 ),
    inference(cnf_transformation,[],[f105]) ).

fof(f1124,plain,
    ( ~ spl81_60
    | ~ spl81_18 ),
    inference(avatar_split_clause,[],[f246,f911,f1121]) ).

fof(f246,plain,
    ( e2 != op(e3,e1)
    | ~ sP65 ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ( ( e2 != op(e3,e4)
      & e2 != op(e3,e3)
      & e2 != op(e3,e2)
      & e2 != op(e3,e1)
      & e2 != op(e3,e0) )
    | ~ sP65 ),
    inference(nnf_transformation,[],[f72]) ).

fof(f1119,plain,
    ( ~ spl81_59
    | ~ spl81_13 ),
    inference(avatar_split_clause,[],[f241,f886,f1116]) ).

fof(f241,plain,
    ( e2 != op(e1,e3)
    | ~ sP66 ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ( ( e2 != op(e4,e3)
      & e2 != op(e3,e3)
      & e2 != op(e2,e3)
      & e2 != op(e1,e3)
      & e2 != op(e0,e3) )
    | ~ sP66 ),
    inference(nnf_transformation,[],[f73]) ).

fof(f1113,plain,
    ( ~ spl81_57
    | ~ spl81_58 ),
    inference(avatar_split_clause,[],[f236,f1110,f1106]) ).

fof(f1110,plain,
    ( spl81_58
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_58])]) ).

fof(f236,plain,
    ( e3 != op(e3,e1)
    | ~ sP67 ),
    inference(cnf_transformation,[],[f102]) ).

fof(f1103,plain,
    ( ~ spl81_55
    | ~ spl81_56 ),
    inference(avatar_split_clause,[],[f231,f1100,f1096]) ).

fof(f231,plain,
    ( e3 != op(e1,e3)
    | ~ sP68 ),
    inference(cnf_transformation,[],[f101]) ).

fof(f1093,plain,
    ( ~ spl81_53
    | ~ spl81_54 ),
    inference(avatar_split_clause,[],[f226,f1090,f1086]) ).

fof(f1090,plain,
    ( spl81_54
  <=> e4 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_54])]) ).

fof(f226,plain,
    ( e4 != op(e3,e1)
    | ~ sP69 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f1083,plain,
    ( ~ spl81_51
    | ~ spl81_52 ),
    inference(avatar_split_clause,[],[f221,f1080,f1076]) ).

fof(f1080,plain,
    ( spl81_52
  <=> e4 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_52])]) ).

fof(f221,plain,
    ( e4 != op(e1,e3)
    | ~ sP70 ),
    inference(cnf_transformation,[],[f99]) ).

fof(f1073,plain,
    ( ~ spl81_49
    | ~ spl81_50 ),
    inference(avatar_split_clause,[],[f206,f1070,f1066]) ).

fof(f1070,plain,
    ( spl81_50
  <=> e1 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_50])]) ).

fof(f206,plain,
    ( e1 != op(e4,e1)
    | ~ sP73 ),
    inference(cnf_transformation,[],[f96]) ).

fof(f1063,plain,
    ( ~ spl81_47
    | ~ spl81_48 ),
    inference(avatar_split_clause,[],[f201,f1060,f1056]) ).

fof(f1060,plain,
    ( spl81_48
  <=> e1 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_48])]) ).

fof(f201,plain,
    ( e1 != op(e1,e4)
    | ~ sP74 ),
    inference(cnf_transformation,[],[f95]) ).

fof(f1053,plain,
    ( ~ spl81_45
    | ~ spl81_46 ),
    inference(avatar_split_clause,[],[f196,f1050,f1046]) ).

fof(f1050,plain,
    ( spl81_46
  <=> e2 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_46])]) ).

fof(f196,plain,
    ( e2 != op(e4,e1)
    | ~ sP75 ),
    inference(cnf_transformation,[],[f94]) ).

fof(f1043,plain,
    ( ~ spl81_43
    | ~ spl81_44 ),
    inference(avatar_split_clause,[],[f191,f1040,f1036]) ).

fof(f1040,plain,
    ( spl81_44
  <=> e2 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_44])]) ).

fof(f191,plain,
    ( e2 != op(e1,e4)
    | ~ sP76 ),
    inference(cnf_transformation,[],[f93]) ).

fof(f1034,plain,
    ( ~ spl81_42
    | ~ spl81_21 ),
    inference(avatar_split_clause,[],[f186,f926,f1031]) ).

fof(f186,plain,
    ( e3 != op(e4,e1)
    | ~ sP77 ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ( ( e3 != op(e4,e4)
      & e3 != op(e4,e3)
      & e3 != op(e4,e2)
      & e3 != op(e4,e1)
      & e3 != op(e4,e0) )
    | ~ sP77 ),
    inference(nnf_transformation,[],[f84]) ).

fof(f1029,plain,
    ( ~ spl81_41
    | ~ spl81_14 ),
    inference(avatar_split_clause,[],[f181,f891,f1026]) ).

fof(f181,plain,
    ( e3 != op(e1,e4)
    | ~ sP78 ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ( ( e3 != op(e4,e4)
      & e3 != op(e3,e4)
      & e3 != op(e2,e4)
      & e3 != op(e1,e4)
      & e3 != op(e0,e4) )
    | ~ sP78 ),
    inference(nnf_transformation,[],[f85]) ).

fof(f1023,plain,
    ( ~ spl81_39
    | ~ spl81_40 ),
    inference(avatar_split_clause,[],[f176,f1020,f1016]) ).

fof(f1020,plain,
    ( spl81_40
  <=> e4 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_40])]) ).

fof(f176,plain,
    ( e4 != op(e4,e1)
    | ~ sP79 ),
    inference(cnf_transformation,[],[f90]) ).

fof(f1013,plain,
    ( ~ spl81_37
    | ~ spl81_38 ),
    inference(avatar_split_clause,[],[f171,f1010,f1006]) ).

fof(f1010,plain,
    ( spl81_38
  <=> e4 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_38])]) ).

fof(f171,plain,
    ( e4 != op(e1,e4)
    | ~ sP80 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f1004,plain,
    spl81_36,
    inference(avatar_split_clause,[],[f822,f1001]) ).

fof(f822,plain,
    unit = op(unit,unit),
    inference(definition_unfolding,[],[f587,f576,f576,f576]) ).

fof(f587,plain,
    e0 = op(e0,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( e2 = op(e4,e4)
    & e0 = op(e4,e3)
    & e1 = op(e4,e2)
    & e3 = op(e4,e1)
    & e4 = op(e4,e0)
    & e0 = op(e3,e4)
    & e1 = op(e3,e3)
    & e4 = op(e3,e2)
    & e2 = op(e3,e1)
    & e3 = op(e3,e0)
    & e1 = op(e2,e4)
    & e4 = op(e2,e3)
    & e3 = op(e2,e2)
    & e0 = op(e2,e1)
    & e2 = op(e2,e0)
    & e3 = op(e1,e4)
    & e2 = op(e1,e3)
    & e0 = op(e1,e2)
    & e4 = op(e1,e1)
    & e1 = op(e1,e0)
    & e4 = op(e0,e4)
    & e3 = op(e0,e3)
    & e2 = op(e0,e2)
    & e1 = op(e0,e1)
    & e0 = op(e0,e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(f999,plain,
    spl81_35,
    inference(avatar_split_clause,[],[f821,f996]) ).

fof(f821,plain,
    e1 = op(unit,e1),
    inference(definition_unfolding,[],[f588,f576]) ).

fof(f588,plain,
    e1 = op(e0,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f994,plain,
    spl81_34,
    inference(avatar_split_clause,[],[f820,f991]) ).

fof(f820,plain,
    e2 = op(unit,e2),
    inference(definition_unfolding,[],[f589,f576]) ).

fof(f589,plain,
    e2 = op(e0,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f989,plain,
    spl81_33,
    inference(avatar_split_clause,[],[f819,f986]) ).

fof(f819,plain,
    e3 = op(unit,e3),
    inference(definition_unfolding,[],[f590,f576]) ).

fof(f590,plain,
    e3 = op(e0,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f984,plain,
    spl81_32,
    inference(avatar_split_clause,[],[f818,f981]) ).

fof(f818,plain,
    e4 = op(unit,e4),
    inference(definition_unfolding,[],[f591,f576]) ).

fof(f591,plain,
    e4 = op(e0,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f979,plain,
    spl81_31,
    inference(avatar_split_clause,[],[f817,f976]) ).

fof(f817,plain,
    e1 = op(e1,unit),
    inference(definition_unfolding,[],[f592,f576]) ).

fof(f592,plain,
    e1 = op(e1,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f974,plain,
    spl81_30,
    inference(avatar_split_clause,[],[f816,f971]) ).

fof(f816,plain,
    op(e1,e2) = unit,
    inference(definition_unfolding,[],[f594,f576]) ).

fof(f594,plain,
    e0 = op(e1,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f969,plain,
    spl81_29,
    inference(avatar_split_clause,[],[f815,f966]) ).

fof(f815,plain,
    e2 = op(e2,unit),
    inference(definition_unfolding,[],[f597,f576]) ).

fof(f597,plain,
    e2 = op(e2,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f964,plain,
    spl81_28,
    inference(avatar_split_clause,[],[f814,f961]) ).

fof(f814,plain,
    op(e2,e1) = unit,
    inference(definition_unfolding,[],[f598,f576]) ).

fof(f598,plain,
    e0 = op(e2,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f959,plain,
    spl81_27,
    inference(avatar_split_clause,[],[f813,f956]) ).

fof(f813,plain,
    e3 = op(e3,unit),
    inference(definition_unfolding,[],[f602,f576]) ).

fof(f602,plain,
    e3 = op(e3,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f954,plain,
    spl81_26,
    inference(avatar_split_clause,[],[f812,f951]) ).

fof(f812,plain,
    op(e3,e4) = unit,
    inference(definition_unfolding,[],[f606,f576]) ).

fof(f606,plain,
    e0 = op(e3,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f949,plain,
    spl81_25,
    inference(avatar_split_clause,[],[f811,f946]) ).

fof(f811,plain,
    e4 = op(e4,unit),
    inference(definition_unfolding,[],[f607,f576]) ).

fof(f607,plain,
    e4 = op(e4,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f944,plain,
    spl81_24,
    inference(avatar_split_clause,[],[f810,f941]) ).

fof(f810,plain,
    op(e4,e3) = unit,
    inference(definition_unfolding,[],[f610,f576]) ).

fof(f610,plain,
    e0 = op(e4,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f939,plain,
    spl81_23,
    inference(avatar_split_clause,[],[f611,f936]) ).

fof(f611,plain,
    e2 = op(e4,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f934,plain,
    spl81_22,
    inference(avatar_split_clause,[],[f609,f931]) ).

fof(f609,plain,
    e1 = op(e4,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f929,plain,
    spl81_21,
    inference(avatar_split_clause,[],[f608,f926]) ).

fof(f608,plain,
    e3 = op(e4,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f924,plain,
    spl81_20,
    inference(avatar_split_clause,[],[f605,f921]) ).

fof(f605,plain,
    e1 = op(e3,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f919,plain,
    spl81_19,
    inference(avatar_split_clause,[],[f604,f916]) ).

fof(f604,plain,
    e4 = op(e3,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f914,plain,
    spl81_18,
    inference(avatar_split_clause,[],[f603,f911]) ).

fof(f603,plain,
    e2 = op(e3,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f909,plain,
    spl81_17,
    inference(avatar_split_clause,[],[f601,f906]) ).

fof(f601,plain,
    e1 = op(e2,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f904,plain,
    spl81_16,
    inference(avatar_split_clause,[],[f600,f901]) ).

fof(f600,plain,
    e4 = op(e2,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f899,plain,
    spl81_15,
    inference(avatar_split_clause,[],[f599,f896]) ).

fof(f599,plain,
    e3 = op(e2,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f894,plain,
    spl81_14,
    inference(avatar_split_clause,[],[f596,f891]) ).

fof(f596,plain,
    e3 = op(e1,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f889,plain,
    spl81_13,
    inference(avatar_split_clause,[],[f595,f886]) ).

fof(f595,plain,
    e2 = op(e1,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f884,plain,
    spl81_12,
    inference(avatar_split_clause,[],[f593,f881]) ).

fof(f593,plain,
    e4 = op(e1,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f879,plain,
    ~ spl81_11,
    inference(avatar_split_clause,[],[f809,f876]) ).

fof(f876,plain,
    ( spl81_11
  <=> e1 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_11])]) ).

fof(f809,plain,
    e1 != unit,
    inference(definition_unfolding,[],[f577,f576]) ).

fof(f577,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( e3 != e4
    & e2 != e4
    & e2 != e3
    & e1 != e4
    & e1 != e3
    & e1 != e2
    & e0 != e4
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(f874,plain,
    ~ spl81_10,
    inference(avatar_split_clause,[],[f808,f871]) ).

fof(f871,plain,
    ( spl81_10
  <=> e2 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_10])]) ).

fof(f808,plain,
    e2 != unit,
    inference(definition_unfolding,[],[f578,f576]) ).

fof(f578,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f1]) ).

fof(f869,plain,
    ~ spl81_9,
    inference(avatar_split_clause,[],[f807,f866]) ).

fof(f866,plain,
    ( spl81_9
  <=> e3 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_9])]) ).

fof(f807,plain,
    e3 != unit,
    inference(definition_unfolding,[],[f579,f576]) ).

fof(f579,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f1]) ).

fof(f864,plain,
    ~ spl81_8,
    inference(avatar_split_clause,[],[f806,f861]) ).

fof(f861,plain,
    ( spl81_8
  <=> e4 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_8])]) ).

fof(f806,plain,
    e4 != unit,
    inference(definition_unfolding,[],[f580,f576]) ).

fof(f580,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f1]) ).

fof(f859,plain,
    ~ spl81_7,
    inference(avatar_split_clause,[],[f586,f856]) ).

fof(f856,plain,
    ( spl81_7
  <=> e3 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_7])]) ).

fof(f586,plain,
    e3 != e4,
    inference(cnf_transformation,[],[f1]) ).

fof(f854,plain,
    ~ spl81_6,
    inference(avatar_split_clause,[],[f585,f851]) ).

fof(f851,plain,
    ( spl81_6
  <=> e2 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_6])]) ).

fof(f585,plain,
    e2 != e4,
    inference(cnf_transformation,[],[f1]) ).

fof(f849,plain,
    ~ spl81_5,
    inference(avatar_split_clause,[],[f584,f846]) ).

fof(f846,plain,
    ( spl81_5
  <=> e2 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_5])]) ).

fof(f584,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f1]) ).

fof(f844,plain,
    ~ spl81_4,
    inference(avatar_split_clause,[],[f583,f841]) ).

fof(f841,plain,
    ( spl81_4
  <=> e1 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_4])]) ).

fof(f583,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f1]) ).

fof(f839,plain,
    ~ spl81_3,
    inference(avatar_split_clause,[],[f582,f836]) ).

fof(f836,plain,
    ( spl81_3
  <=> e1 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_3])]) ).

fof(f582,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f1]) ).

fof(f834,plain,
    ~ spl81_2,
    inference(avatar_split_clause,[],[f581,f831]) ).

fof(f831,plain,
    ( spl81_2
  <=> e1 = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_2])]) ).

fof(f581,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f1]) ).

fof(f829,plain,
    ~ spl81_1,
    inference(avatar_split_clause,[],[f824,f826]) ).

fof(f824,plain,
    ~ sP30,
    inference(trivial_inequality_removal,[],[f734]) ).

fof(f734,plain,
    ( unit != unit
    | ~ sP30 ),
    inference(definition_unfolding,[],[f420,f576]) ).

fof(f420,plain,
    ( e0 != unit
    | ~ sP30 ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ( ( e4 != unit
      & e3 != unit
      & e2 != unit
      & e1 != unit
      & e0 != unit )
    | ~ sP30 ),
    inference(nnf_transformation,[],[f37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : ALG090+1 : TPTP v8.1.2. Released v2.7.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 19:59:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (6010)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (6013)WARNING: value z3 for option sas not known
% 0.14/0.38  % (6017)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38  % (6014)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (6015)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38  % (6013)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (6011)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (6016)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38  % (6012)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40  % (6015)First to succeed.
% 0.14/0.40  % (6013)Also succeeded, but the first one will report.
% 0.14/0.41  % (6016)Also succeeded, but the first one will report.
% 0.14/0.41  % (6017)Also succeeded, but the first one will report.
% 0.14/0.42  % (6015)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6010"
% 0.14/0.42  % (6015)Refutation found. Thanks to Tanya!
% 0.14/0.42  % SZS status Theorem for theBenchmark
% 0.14/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.42  % (6015)------------------------------
% 0.20/0.42  % (6015)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.42  % (6015)Termination reason: Refutation
% 0.20/0.42  
% 0.20/0.42  % (6015)Memory used [KB]: 1389
% 0.20/0.42  % (6015)Time elapsed: 0.035 s
% 0.20/0.42  % (6015)Instructions burned: 71 (million)
% 0.20/0.42  % (6010)Success in time 0.058 s
%------------------------------------------------------------------------------