%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ALG094+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 : n012.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 04:18:42 EDT 2024

% Result   : Theorem 0.12s 0.40s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  242
% Syntax   : Number of formulae    :  871 (  92 unt;   0 def)
%            Number of atoms       : 4327 (2800 equ)
%            Maximal formula atoms :  465 (   4 avg)
%            Number of connectives : 5997 (2541   ~;2006   |;1289   &)
%                                         ( 161 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  114 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :  240 ( 238 usr; 239 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1885,plain,
    $false,
    inference(avatar_sat_refutation,[],[f826,f831,f836,f841,f846,f851,f856,f861,f866,f871,f876,f881,f886,f891,f896,f901,f906,f911,f916,f921,f926,f931,f936,f941,f946,f951,f956,f961,f966,f971,f976,f981,f986,f991,f996,f1001,f1010,f1020,f1030,f1036,f1045,f1055,f1065,f1075,f1081,f1090,f1100,f1110,f1120,f1130,f1140,f1150,f1160,f1166,f1171,f1180,f1190,f1200,f1210,f1220,f1230,f1236,f1245,f1251,f1256,f1261,f1270,f1276,f1285,f1295,f1301,f1310,f1316,f1325,f1335,f1345,f1351,f1356,f1361,f1366,f1371,f1380,f1386,f1395,f1405,f1411,f1420,f1426,f1435,f1441,f1446,f1451,f1460,f1470,f1480,f1490,f1500,f1510,f1520,f1530,f1536,f1541,f1550,f1560,f1566,f1575,f1581,f1590,f1600,f1610,f1620,f1626,f1627,f1631,f1634,f1637,f1641,f1644,f1647,f1651,f1654,f1657,f1663,f1669,f1673,f1677,f1682,f1688,f1691,f1694,f1698,f1702,f1706,f1711,f1715,f1719,f1722,f1726,f1729,f1733,f1739,f1744,f1747,f1751,f1756,f1761,f1765,f1771,f1777,f1783,f1789,f1794,f1799,f1803,f1807,f1810,f1813,f1819,f1824,f1828,f1834,f1839,f1843,f1846,f1881,f1884]) ).

fof(f1884,plain,
    ( ~ spl77_37
    | ~ spl77_32 ),
    inference(avatar_split_clause,[],[f1883,f978,f1003]) ).

fof(f1003,plain,
    ( spl77_37
  <=> sP76 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_37])]) ).

fof(f978,plain,
    ( spl77_32
  <=> e4 = op(unit,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_32])]) ).

fof(f1883,plain,
    ( ~ sP76
    | ~ spl77_32 ),
    inference(trivial_inequality_removal,[],[f1882]) ).

fof(f1882,plain,
    ( e4 != e4
    | ~ sP76
    | ~ spl77_32 ),
    inference(forward_demodulation,[],[f604,f980]) ).

fof(f980,plain,
    ( e4 = op(unit,e4)
    | ~ spl77_32 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f604,plain,
    ( e4 != op(unit,e4)
    | ~ sP76 ),
    inference(definition_unfolding,[],[f162,f568]) ).

fof(f568,plain,
    e0 = unit,
    inference(cnf_transformation,[],[f3]) ).

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

fof(f162,plain,
    ( e4 != op(e0,e4)
    | ~ sP76 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ( ( e4 != op(e4,e4)
      & e4 != op(e3,e4)
      & e4 != op(e2,e4)
      & e4 != op(e1,e4)
      & e4 != op(e0,e4) )
    | ~ sP76 ),
    inference(nnf_transformation,[],[f83]) ).

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

fof(f1881,plain,
    ( ~ spl77_161
    | spl77_6
    | ~ spl77_12
    | ~ spl77_15
    | ~ spl77_16 ),
    inference(avatar_split_clause,[],[f1859,f898,f893,f878,f848,f1623]) ).

fof(f1623,plain,
    ( spl77_161
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_161])]) ).

fof(f848,plain,
    ( spl77_6
  <=> e2 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_6])]) ).

fof(f878,plain,
    ( spl77_12
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_12])]) ).

fof(f893,plain,
    ( spl77_15
  <=> e4 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_15])]) ).

fof(f898,plain,
    ( spl77_16
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_16])]) ).

fof(f1859,plain,
    ( e2 = e4
    | ~ sP0
    | ~ spl77_12
    | ~ spl77_15
    | ~ spl77_16 ),
    inference(trivial_inequality_removal,[],[f1858]) ).

fof(f1858,plain,
    ( e1 != e1
    | e2 = e4
    | ~ sP0
    | ~ spl77_12
    | ~ spl77_15
    | ~ spl77_16 ),
    inference(forward_demodulation,[],[f1857,f900]) ).

fof(f900,plain,
    ( e1 = op(e2,e2)
    | ~ spl77_16 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f1857,plain,
    ( e2 = e4
    | e1 != op(e2,e2)
    | ~ sP0
    | ~ spl77_12
    | ~ spl77_15 ),
    inference(trivial_inequality_removal,[],[f1856]) ).

fof(f1856,plain,
    ( e2 != e2
    | e2 = e4
    | e1 != op(e2,e2)
    | ~ sP0
    | ~ spl77_12
    | ~ spl77_15 ),
    inference(forward_demodulation,[],[f1855,f880]) ).

fof(f880,plain,
    ( e2 = op(e1,e1)
    | ~ spl77_12 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f1855,plain,
    ( e2 = e4
    | e2 != op(e1,e1)
    | e1 != op(e2,e2)
    | ~ sP0
    | ~ spl77_15 ),
    inference(forward_demodulation,[],[f553,f895]) ).

fof(f895,plain,
    ( e4 = op(e2,e1)
    | ~ spl77_15 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f553,plain,
    ( e2 = op(e2,e1)
    | e2 != op(e1,e1)
    | e1 != op(e2,e2)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f161]) ).

fof(f161,plain,
    ( ( ( e4 = op(e4,e4)
        | e4 != op(e4,e4)
        | e4 != op(e4,e4) )
      & ( e4 = op(e4,e3)
        | e4 != op(e3,e3)
        | e3 != op(e4,e4) )
      & ( e4 = op(e4,e2)
        | e4 != op(e2,e2)
        | e2 != op(e4,e4) )
      & ( e4 = op(e4,e1)
        | e4 != op(e1,e1)
        | e1 != op(e4,e4) )
      & ( e4 = op(e4,e0)
        | e4 != op(e0,e0)
        | e0 != op(e4,e4) )
      & ( e3 = op(e3,e4)
        | e3 != op(e4,e4)
        | e4 != op(e3,e3) )
      & ( e3 = op(e3,e3)
        | e3 != op(e3,e3)
        | e3 != op(e3,e3) )
      & ( e3 = op(e3,e2)
        | e3 != op(e2,e2)
        | e2 != op(e3,e3) )
      & ( e3 = op(e3,e1)
        | e3 != op(e1,e1)
        | e1 != op(e3,e3) )
      & ( e3 = op(e3,e0)
        | e3 != op(e0,e0)
        | e0 != op(e3,e3) )
      & ( e2 = op(e2,e4)
        | e2 != op(e4,e4)
        | e4 != op(e2,e2) )
      & ( e2 = op(e2,e3)
        | e2 != op(e3,e3)
        | e3 != op(e2,e2) )
      & ( e2 = op(e2,e2)
        | e2 != op(e2,e2)
        | e2 != op(e2,e2) )
      & ( e2 = op(e2,e1)
        | e2 != op(e1,e1)
        | e1 != op(e2,e2) )
      & ( e2 = op(e2,e0)
        | e2 != op(e0,e0)
        | e0 != op(e2,e2) )
      & ( e1 = op(e1,e4)
        | e1 != op(e4,e4)
        | e4 != op(e1,e1) )
      & ( e1 = op(e1,e3)
        | e1 != op(e3,e3)
        | e3 != op(e1,e1) )
      & ( e1 = op(e1,e2)
        | e1 != op(e2,e2)
        | e2 != op(e1,e1) )
      & ( e1 = op(e1,e1)
        | e1 != op(e1,e1)
        | e1 != op(e1,e1) )
      & ( e1 = op(e1,e0)
        | e1 != op(e0,e0)
        | e0 != op(e1,e1) )
      & ( e0 = op(e0,e4)
        | e0 != op(e4,e4)
        | e4 != op(e0,e0) )
      & ( e0 = op(e0,e3)
        | e0 != op(e3,e3)
        | e3 != op(e0,e0) )
      & ( e0 = op(e0,e2)
        | e0 != op(e2,e2)
        | e2 != op(e0,e0) )
      & ( e0 = op(e0,e1)
        | e0 != op(e1,e1)
        | e1 != op(e0,e0) )
      & ( e0 = op(e0,e0)
        | e0 != op(e0,e0)
        | e0 != op(e0,e0) ) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f7]) ).

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

fof(f1846,plain,
    ( ~ spl77_159
    | ~ spl77_36 ),
    inference(avatar_split_clause,[],[f1845,f998,f1613]) ).

fof(f1613,plain,
    ( spl77_159
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_159])]) ).

fof(f998,plain,
    ( spl77_36
  <=> unit = op(unit,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_36])]) ).

fof(f1845,plain,
    ( ~ sP1
    | ~ spl77_36 ),
    inference(trivial_inequality_removal,[],[f1844]) ).

fof(f1844,plain,
    ( unit != unit
    | ~ sP1
    | ~ spl77_36 ),
    inference(forward_demodulation,[],[f787,f1000]) ).

fof(f1000,plain,
    ( unit = op(unit,unit)
    | ~ spl77_36 ),
    inference(avatar_component_clause,[],[f998]) ).

fof(f787,plain,
    ( unit != op(unit,unit)
    | ~ sP1 ),
    inference(definition_unfolding,[],[f537,f568,f568,f568]) ).

fof(f537,plain,
    ( e0 != op(e0,e0)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f160]) ).

fof(f160,plain,
    ( ( e4 != op(e0,e0)
      & e3 != op(e0,e0)
      & e2 != op(e0,e0)
      & e1 != op(e0,e0)
      & e0 != op(e0,e0) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f8]) ).

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

fof(f1843,plain,
    ( ~ spl77_157
    | ~ spl77_35 ),
    inference(avatar_split_clause,[],[f1842,f993,f1603]) ).

fof(f1603,plain,
    ( spl77_157
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_157])]) ).

fof(f993,plain,
    ( spl77_35
  <=> e1 = op(unit,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_35])]) ).

fof(f1842,plain,
    ( ~ sP2
    | ~ spl77_35 ),
    inference(trivial_inequality_removal,[],[f1841]) ).

fof(f1841,plain,
    ( e1 != e1
    | ~ sP2
    | ~ spl77_35 ),
    inference(forward_demodulation,[],[f781,f995]) ).

fof(f995,plain,
    ( e1 = op(unit,e1)
    | ~ spl77_35 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f781,plain,
    ( e1 != op(unit,e1)
    | ~ sP2 ),
    inference(definition_unfolding,[],[f533,f568]) ).

fof(f533,plain,
    ( e1 != op(e0,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,plain,
    ( ( e4 != op(e0,e1)
      & e3 != op(e0,e1)
      & e2 != op(e0,e1)
      & e1 != op(e0,e1)
      & e0 != op(e0,e1) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f9]) ).

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

fof(f1839,plain,
    ( ~ spl77_155
    | ~ spl77_34 ),
    inference(avatar_split_clause,[],[f1838,f988,f1593]) ).

fof(f1593,plain,
    ( spl77_155
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_155])]) ).

fof(f988,plain,
    ( spl77_34
  <=> e2 = op(unit,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_34])]) ).

fof(f1838,plain,
    ( ~ sP3
    | ~ spl77_34 ),
    inference(trivial_inequality_removal,[],[f1837]) ).

fof(f1837,plain,
    ( e2 != e2
    | ~ sP3
    | ~ spl77_34 ),
    inference(forward_demodulation,[],[f775,f990]) ).

fof(f990,plain,
    ( e2 = op(unit,e2)
    | ~ spl77_34 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f775,plain,
    ( e2 != op(unit,e2)
    | ~ sP3 ),
    inference(definition_unfolding,[],[f529,f568]) ).

fof(f529,plain,
    ( e2 != op(e0,e2)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f158]) ).

fof(f158,plain,
    ( ( e4 != op(e0,e2)
      & e3 != op(e0,e2)
      & e2 != op(e0,e2)
      & e1 != op(e0,e2)
      & e0 != op(e0,e2) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f10]) ).

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

fof(f1834,plain,
    ( ~ spl77_153
    | ~ spl77_33 ),
    inference(avatar_split_clause,[],[f1833,f983,f1583]) ).

fof(f1583,plain,
    ( spl77_153
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_153])]) ).

fof(f983,plain,
    ( spl77_33
  <=> e3 = op(unit,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_33])]) ).

fof(f1833,plain,
    ( ~ sP4
    | ~ spl77_33 ),
    inference(trivial_inequality_removal,[],[f1832]) ).

fof(f1832,plain,
    ( e3 != e3
    | ~ sP4
    | ~ spl77_33 ),
    inference(forward_demodulation,[],[f769,f985]) ).

fof(f985,plain,
    ( e3 = op(unit,e3)
    | ~ spl77_33 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f769,plain,
    ( e3 != op(unit,e3)
    | ~ sP4 ),
    inference(definition_unfolding,[],[f525,f568]) ).

fof(f525,plain,
    ( e3 != op(e0,e3)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ( ( e4 != op(e0,e3)
      & e3 != op(e0,e3)
      & e2 != op(e0,e3)
      & e1 != op(e0,e3)
      & e0 != op(e0,e3) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f11]) ).

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

fof(f1828,plain,
    ( ~ spl77_150
    | ~ spl77_31 ),
    inference(avatar_split_clause,[],[f1827,f973,f1568]) ).

fof(f1568,plain,
    ( spl77_150
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_150])]) ).

fof(f973,plain,
    ( spl77_31
  <=> e1 = op(e1,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_31])]) ).

fof(f1827,plain,
    ( ~ sP6
    | ~ spl77_31 ),
    inference(trivial_inequality_removal,[],[f1826]) ).

fof(f1826,plain,
    ( e1 != e1
    | ~ sP6
    | ~ spl77_31 ),
    inference(forward_demodulation,[],[f761,f975]) ).

fof(f975,plain,
    ( e1 = op(e1,unit)
    | ~ spl77_31 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f761,plain,
    ( e1 != op(e1,unit)
    | ~ sP6 ),
    inference(definition_unfolding,[],[f513,f568]) ).

fof(f513,plain,
    ( e1 != op(e1,e0)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ( ( e4 != op(e1,e0)
      & e3 != op(e1,e0)
      & e2 != op(e1,e0)
      & e1 != op(e1,e0)
      & e0 != op(e1,e0) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f13]) ).

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

fof(f1824,plain,
    ( ~ spl77_147
    | ~ spl77_29 ),
    inference(avatar_split_clause,[],[f1823,f963,f1553]) ).

fof(f1553,plain,
    ( spl77_147
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_147])]) ).

fof(f963,plain,
    ( spl77_29
  <=> e2 = op(e2,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_29])]) ).

fof(f1823,plain,
    ( ~ sP11
    | ~ spl77_29 ),
    inference(trivial_inequality_removal,[],[f1822]) ).

fof(f1822,plain,
    ( e2 != e2
    | ~ sP11
    | ~ spl77_29 ),
    inference(forward_demodulation,[],[f751,f965]) ).

fof(f965,plain,
    ( e2 = op(e2,unit)
    | ~ spl77_29 ),
    inference(avatar_component_clause,[],[f963]) ).

fof(f751,plain,
    ( e2 != op(e2,unit)
    | ~ sP11 ),
    inference(definition_unfolding,[],[f489,f568]) ).

fof(f489,plain,
    ( e2 != op(e2,e0)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ( ( e4 != op(e2,e0)
      & e3 != op(e2,e0)
      & e2 != op(e2,e0)
      & e1 != op(e2,e0)
      & e0 != op(e2,e0) )
    | ~ sP11 ),
    inference(nnf_transformation,[],[f18]) ).

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

fof(f1819,plain,
    ( ~ spl77_145
    | ~ spl77_27 ),
    inference(avatar_split_clause,[],[f1818,f953,f1543]) ).

fof(f1543,plain,
    ( spl77_145
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_145])]) ).

fof(f953,plain,
    ( spl77_27
  <=> e3 = op(e3,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_27])]) ).

fof(f1818,plain,
    ( ~ sP16
    | ~ spl77_27 ),
    inference(trivial_inequality_removal,[],[f1817]) ).

fof(f1817,plain,
    ( e3 != e3
    | ~ sP16
    | ~ spl77_27 ),
    inference(forward_demodulation,[],[f741,f955]) ).

fof(f955,plain,
    ( e3 = op(e3,unit)
    | ~ spl77_27 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f741,plain,
    ( e3 != op(e3,unit)
    | ~ sP16 ),
    inference(definition_unfolding,[],[f465,f568]) ).

fof(f465,plain,
    ( e3 != op(e3,e0)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ( ( e4 != op(e3,e0)
      & e3 != op(e3,e0)
      & e2 != op(e3,e0)
      & e1 != op(e3,e0)
      & e0 != op(e3,e0) )
    | ~ sP16 ),
    inference(nnf_transformation,[],[f23]) ).

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

fof(f1813,plain,
    ( ~ spl77_141
    | ~ spl77_36 ),
    inference(avatar_split_clause,[],[f1812,f998,f1523]) ).

fof(f1523,plain,
    ( spl77_141
  <=> sP27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_141])]) ).

fof(f1812,plain,
    ( ~ sP27
    | ~ spl77_36 ),
    inference(trivial_inequality_removal,[],[f1811]) ).

fof(f1811,plain,
    ( unit != unit
    | ~ sP27
    | ~ spl77_36 ),
    inference(forward_demodulation,[],[f725,f1000]) ).

fof(f725,plain,
    ( unit != op(unit,unit)
    | ~ sP27 ),
    inference(definition_unfolding,[],[f407,f568,f568,f568]) ).

fof(f407,plain,
    ( e0 != op(e0,e0)
    | ~ sP27 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ( ( e0 != op(e0,e4)
      & e0 != op(e0,e3)
      & e0 != op(e0,e2)
      & e0 != op(e0,e1)
      & e0 != op(e0,e0) )
    | ~ sP27 ),
    inference(nnf_transformation,[],[f34]) ).

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

fof(f1810,plain,
    ( ~ spl77_139
    | ~ spl77_36 ),
    inference(avatar_split_clause,[],[f1809,f998,f1513]) ).

fof(f1513,plain,
    ( spl77_139
  <=> sP28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_139])]) ).

fof(f1809,plain,
    ( ~ sP28
    | ~ spl77_36 ),
    inference(trivial_inequality_removal,[],[f1808]) ).

fof(f1808,plain,
    ( unit != unit
    | ~ sP28
    | ~ spl77_36 ),
    inference(forward_demodulation,[],[f720,f1000]) ).

fof(f720,plain,
    ( unit != op(unit,unit)
    | ~ sP28 ),
    inference(definition_unfolding,[],[f402,f568,f568,f568]) ).

fof(f402,plain,
    ( e0 != op(e0,e0)
    | ~ sP28 ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ( ( e0 != op(e4,e0)
      & e0 != op(e3,e0)
      & e0 != op(e2,e0)
      & e0 != op(e1,e0)
      & e0 != op(e0,e0) )
    | ~ sP28 ),
    inference(nnf_transformation,[],[f35]) ).

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

fof(f1807,plain,
    ( ~ spl77_137
    | ~ spl77_35 ),
    inference(avatar_split_clause,[],[f1806,f993,f1503]) ).

fof(f1503,plain,
    ( spl77_137
  <=> sP29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_137])]) ).

fof(f1806,plain,
    ( ~ sP29
    | ~ spl77_35 ),
    inference(trivial_inequality_removal,[],[f1805]) ).

fof(f1805,plain,
    ( e1 != e1
    | ~ sP29
    | ~ spl77_35 ),
    inference(forward_demodulation,[],[f714,f995]) ).

fof(f714,plain,
    ( e1 != op(unit,e1)
    | ~ sP29 ),
    inference(definition_unfolding,[],[f398,f568]) ).

fof(f398,plain,
    ( e1 != op(e0,e1)
    | ~ sP29 ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ( ( e1 != op(e0,e4)
      & e1 != op(e0,e3)
      & e1 != op(e0,e2)
      & e1 != op(e0,e1)
      & e1 != op(e0,e0) )
    | ~ sP29 ),
    inference(nnf_transformation,[],[f36]) ).

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

fof(f1803,plain,
    ( ~ spl77_135
    | ~ spl77_31 ),
    inference(avatar_split_clause,[],[f1802,f973,f1493]) ).

fof(f1493,plain,
    ( spl77_135
  <=> sP30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_135])]) ).

fof(f1802,plain,
    ( ~ sP30
    | ~ spl77_31 ),
    inference(trivial_inequality_removal,[],[f1801]) ).

fof(f1801,plain,
    ( e1 != e1
    | ~ sP30
    | ~ spl77_31 ),
    inference(forward_demodulation,[],[f709,f975]) ).

fof(f709,plain,
    ( e1 != op(e1,unit)
    | ~ sP30 ),
    inference(definition_unfolding,[],[f393,f568]) ).

fof(f393,plain,
    ( e1 != op(e1,e0)
    | ~ sP30 ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ( ( e1 != op(e4,e0)
      & e1 != op(e3,e0)
      & e1 != op(e2,e0)
      & e1 != op(e1,e0)
      & e1 != op(e0,e0) )
    | ~ sP30 ),
    inference(nnf_transformation,[],[f37]) ).

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

fof(f1799,plain,
    ( ~ spl77_133
    | ~ spl77_34 ),
    inference(avatar_split_clause,[],[f1798,f988,f1483]) ).

fof(f1483,plain,
    ( spl77_133
  <=> sP31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_133])]) ).

fof(f1798,plain,
    ( ~ sP31
    | ~ spl77_34 ),
    inference(trivial_inequality_removal,[],[f1797]) ).

fof(f1797,plain,
    ( e2 != e2
    | ~ sP31
    | ~ spl77_34 ),
    inference(forward_demodulation,[],[f703,f990]) ).

fof(f703,plain,
    ( e2 != op(unit,e2)
    | ~ sP31 ),
    inference(definition_unfolding,[],[f389,f568]) ).

fof(f389,plain,
    ( e2 != op(e0,e2)
    | ~ sP31 ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ( ( e2 != op(e0,e4)
      & e2 != op(e0,e3)
      & e2 != op(e0,e2)
      & e2 != op(e0,e1)
      & e2 != op(e0,e0) )
    | ~ sP31 ),
    inference(nnf_transformation,[],[f38]) ).

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

fof(f1794,plain,
    ( ~ spl77_131
    | ~ spl77_29 ),
    inference(avatar_split_clause,[],[f1793,f963,f1473]) ).

fof(f1473,plain,
    ( spl77_131
  <=> sP32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_131])]) ).

fof(f1793,plain,
    ( ~ sP32
    | ~ spl77_29 ),
    inference(trivial_inequality_removal,[],[f1792]) ).

fof(f1792,plain,
    ( e2 != e2
    | ~ sP32
    | ~ spl77_29 ),
    inference(forward_demodulation,[],[f698,f965]) ).

fof(f698,plain,
    ( e2 != op(e2,unit)
    | ~ sP32 ),
    inference(definition_unfolding,[],[f384,f568]) ).

fof(f384,plain,
    ( e2 != op(e2,e0)
    | ~ sP32 ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ( ( e2 != op(e4,e0)
      & e2 != op(e3,e0)
      & e2 != op(e2,e0)
      & e2 != op(e1,e0)
      & e2 != op(e0,e0) )
    | ~ sP32 ),
    inference(nnf_transformation,[],[f39]) ).

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

fof(f1789,plain,
    ( ~ spl77_129
    | ~ spl77_33 ),
    inference(avatar_split_clause,[],[f1788,f983,f1463]) ).

fof(f1463,plain,
    ( spl77_129
  <=> sP33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_129])]) ).

fof(f1788,plain,
    ( ~ sP33
    | ~ spl77_33 ),
    inference(trivial_inequality_removal,[],[f1787]) ).

fof(f1787,plain,
    ( e3 != e3
    | ~ sP33
    | ~ spl77_33 ),
    inference(forward_demodulation,[],[f692,f985]) ).

fof(f692,plain,
    ( e3 != op(unit,e3)
    | ~ sP33 ),
    inference(definition_unfolding,[],[f380,f568]) ).

fof(f380,plain,
    ( e3 != op(e0,e3)
    | ~ sP33 ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ( ( e3 != op(e0,e4)
      & e3 != op(e0,e3)
      & e3 != op(e0,e2)
      & e3 != op(e0,e1)
      & e3 != op(e0,e0) )
    | ~ sP33 ),
    inference(nnf_transformation,[],[f40]) ).

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

fof(f1783,plain,
    ( ~ spl77_127
    | ~ spl77_27 ),
    inference(avatar_split_clause,[],[f1782,f953,f1453]) ).

fof(f1453,plain,
    ( spl77_127
  <=> sP34 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_127])]) ).

fof(f1782,plain,
    ( ~ sP34
    | ~ spl77_27 ),
    inference(trivial_inequality_removal,[],[f1781]) ).

fof(f1781,plain,
    ( e3 != e3
    | ~ sP34
    | ~ spl77_27 ),
    inference(forward_demodulation,[],[f687,f955]) ).

fof(f687,plain,
    ( e3 != op(e3,unit)
    | ~ sP34 ),
    inference(definition_unfolding,[],[f375,f568]) ).

fof(f375,plain,
    ( e3 != op(e3,e0)
    | ~ sP34 ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ( ( e3 != op(e4,e0)
      & e3 != op(e3,e0)
      & e3 != op(e2,e0)
      & e3 != op(e1,e0)
      & e3 != op(e0,e0) )
    | ~ sP34 ),
    inference(nnf_transformation,[],[f41]) ).

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

fof(f1777,plain,
    ( ~ spl77_122
    | ~ spl77_26 ),
    inference(avatar_split_clause,[],[f1776,f948,f1428]) ).

fof(f1428,plain,
    ( spl77_122
  <=> sP38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_122])]) ).

fof(f948,plain,
    ( spl77_26
  <=> op(e3,e1) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_26])]) ).

fof(f1776,plain,
    ( ~ sP38
    | ~ spl77_26 ),
    inference(trivial_inequality_removal,[],[f1775]) ).

fof(f1775,plain,
    ( unit != unit
    | ~ sP38
    | ~ spl77_26 ),
    inference(forward_demodulation,[],[f667,f950]) ).

fof(f950,plain,
    ( op(e3,e1) = unit
    | ~ spl77_26 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f667,plain,
    ( op(e3,e1) != unit
    | ~ sP38 ),
    inference(definition_unfolding,[],[f355,f568]) ).

fof(f355,plain,
    ( e0 != op(e3,e1)
    | ~ sP38 ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ( ( e0 != op(e4,e1)
      & e0 != op(e3,e1)
      & e0 != op(e2,e1)
      & e0 != op(e1,e1)
      & e0 != op(e0,e1) )
    | ~ sP38 ),
    inference(nnf_transformation,[],[f45]) ).

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

fof(f1771,plain,
    ( ~ spl77_119
    | ~ spl77_28 ),
    inference(avatar_split_clause,[],[f1770,f958,f1413]) ).

fof(f1413,plain,
    ( spl77_119
  <=> sP47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_119])]) ).

fof(f958,plain,
    ( spl77_28
  <=> op(e2,e3) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_28])]) ).

fof(f1770,plain,
    ( ~ sP47
    | ~ spl77_28 ),
    inference(trivial_inequality_removal,[],[f1769]) ).

fof(f1769,plain,
    ( unit != unit
    | ~ sP47
    | ~ spl77_28 ),
    inference(forward_demodulation,[],[f654,f960]) ).

fof(f960,plain,
    ( op(e2,e3) = unit
    | ~ spl77_28 ),
    inference(avatar_component_clause,[],[f958]) ).

fof(f654,plain,
    ( op(e2,e3) != unit
    | ~ sP47 ),
    inference(definition_unfolding,[],[f310,f568]) ).

fof(f310,plain,
    ( e0 != op(e2,e3)
    | ~ sP47 ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ( ( e0 != op(e2,e4)
      & e0 != op(e2,e3)
      & e0 != op(e2,e2)
      & e0 != op(e2,e1)
      & e0 != op(e2,e0) )
    | ~ sP47 ),
    inference(nnf_transformation,[],[f54]) ).

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

fof(f1765,plain,
    ( ~ spl77_116
    | ~ spl77_26 ),
    inference(avatar_split_clause,[],[f1764,f948,f1398]) ).

fof(f1398,plain,
    ( spl77_116
  <=> sP57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_116])]) ).

fof(f1764,plain,
    ( ~ sP57
    | ~ spl77_26 ),
    inference(trivial_inequality_removal,[],[f1763]) ).

fof(f1763,plain,
    ( unit != unit
    | ~ sP57
    | ~ spl77_26 ),
    inference(forward_demodulation,[],[f638,f950]) ).

fof(f638,plain,
    ( op(e3,e1) != unit
    | ~ sP57 ),
    inference(definition_unfolding,[],[f258,f568]) ).

fof(f258,plain,
    ( e0 != op(e3,e1)
    | ~ sP57 ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ( ( e0 != op(e3,e4)
      & e0 != op(e3,e3)
      & e0 != op(e3,e2)
      & e0 != op(e3,e1)
      & e0 != op(e3,e0) )
    | ~ sP57 ),
    inference(nnf_transformation,[],[f64]) ).

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

fof(f1761,plain,
    ( ~ spl77_114
    | ~ spl77_28 ),
    inference(avatar_split_clause,[],[f1760,f958,f1388]) ).

fof(f1388,plain,
    ( spl77_114
  <=> sP58 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_114])]) ).

fof(f1760,plain,
    ( ~ sP58
    | ~ spl77_28 ),
    inference(trivial_inequality_removal,[],[f1759]) ).

fof(f1759,plain,
    ( unit != unit
    | ~ sP58
    | ~ spl77_28 ),
    inference(forward_demodulation,[],[f632,f960]) ).

fof(f632,plain,
    ( op(e2,e3) != unit
    | ~ sP58 ),
    inference(definition_unfolding,[],[f254,f568]) ).

fof(f254,plain,
    ( e0 != op(e2,e3)
    | ~ sP58 ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ( ( e0 != op(e4,e3)
      & e0 != op(e3,e3)
      & e0 != op(e2,e3)
      & e0 != op(e1,e3)
      & e0 != op(e0,e3) )
    | ~ sP58 ),
    inference(nnf_transformation,[],[f65]) ).

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

fof(f1756,plain,
    ( ~ spl77_113
    | ~ spl77_24 ),
    inference(avatar_split_clause,[],[f1755,f938,f1383]) ).

fof(f1383,plain,
    ( spl77_113
  <=> sP67 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_113])]) ).

fof(f938,plain,
    ( spl77_24
  <=> op(e4,e2) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_24])]) ).

fof(f1755,plain,
    ( ~ sP67
    | ~ spl77_24 ),
    inference(trivial_inequality_removal,[],[f1754]) ).

fof(f1754,plain,
    ( unit != unit
    | ~ sP67
    | ~ spl77_24 ),
    inference(forward_demodulation,[],[f619,f940]) ).

fof(f940,plain,
    ( op(e4,e2) = unit
    | ~ spl77_24 ),
    inference(avatar_component_clause,[],[f938]) ).

fof(f619,plain,
    ( op(e4,e2) != unit
    | ~ sP67 ),
    inference(definition_unfolding,[],[f209,f568]) ).

fof(f209,plain,
    ( e0 != op(e4,e2)
    | ~ sP67 ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ( ( e0 != op(e4,e4)
      & e0 != op(e4,e3)
      & e0 != op(e4,e2)
      & e0 != op(e4,e1)
      & e0 != op(e4,e0) )
    | ~ sP67 ),
    inference(nnf_transformation,[],[f74]) ).

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

fof(f1751,plain,
    ( ~ spl77_111
    | ~ spl77_30 ),
    inference(avatar_split_clause,[],[f1750,f968,f1373]) ).

fof(f1373,plain,
    ( spl77_111
  <=> sP68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_111])]) ).

fof(f968,plain,
    ( spl77_30
  <=> op(e1,e4) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_30])]) ).

fof(f1750,plain,
    ( ~ sP68
    | ~ spl77_30 ),
    inference(trivial_inequality_removal,[],[f1749]) ).

fof(f1749,plain,
    ( unit != unit
    | ~ sP68
    | ~ spl77_30 ),
    inference(forward_demodulation,[],[f615,f970]) ).

fof(f970,plain,
    ( op(e1,e4) = unit
    | ~ spl77_30 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f615,plain,
    ( op(e1,e4) != unit
    | ~ sP68 ),
    inference(definition_unfolding,[],[f203,f568]) ).

fof(f203,plain,
    ( e0 != op(e1,e4)
    | ~ sP68 ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ( ( e0 != op(e4,e4)
      & e0 != op(e3,e4)
      & e0 != op(e2,e4)
      & e0 != op(e1,e4)
      & e0 != op(e0,e4) )
    | ~ sP68 ),
    inference(nnf_transformation,[],[f75]) ).

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

fof(f1747,plain,
    ( ~ spl77_104
    | ~ spl77_28 ),
    inference(avatar_split_clause,[],[f1746,f958,f1338]) ).

fof(f1338,plain,
    ( spl77_104
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_104])]) ).

fof(f1746,plain,
    ( ~ sP14
    | ~ spl77_28 ),
    inference(trivial_inequality_removal,[],[f1745]) ).

fof(f1745,plain,
    ( unit != unit
    | ~ sP14
    | ~ spl77_28 ),
    inference(forward_demodulation,[],[f746,f960]) ).

fof(f746,plain,
    ( op(e2,e3) != unit
    | ~ sP14 ),
    inference(definition_unfolding,[],[f472,f568]) ).

fof(f472,plain,
    ( e0 != op(e2,e3)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ( ( e4 != op(e2,e3)
      & e3 != op(e2,e3)
      & e2 != op(e2,e3)
      & e1 != op(e2,e3)
      & e0 != op(e2,e3) )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f21]) ).

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

fof(f1744,plain,
    ( ~ spl77_102
    | ~ spl77_17 ),
    inference(avatar_split_clause,[],[f1743,f903,f1328]) ).

fof(f1328,plain,
    ( spl77_102
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_102])]) ).

fof(f903,plain,
    ( spl77_17
  <=> e3 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_17])]) ).

fof(f1743,plain,
    ( ~ sP15
    | ~ spl77_17 ),
    inference(trivial_inequality_removal,[],[f1742]) ).

fof(f1742,plain,
    ( e3 != e3
    | ~ sP15
    | ~ spl77_17 ),
    inference(forward_demodulation,[],[f470,f905]) ).

fof(f905,plain,
    ( e3 = op(e2,e4)
    | ~ spl77_17 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f470,plain,
    ( e3 != op(e2,e4)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ( ( e4 != op(e2,e4)
      & e3 != op(e2,e4)
      & e2 != op(e2,e4)
      & e1 != op(e2,e4)
      & e0 != op(e2,e4) )
    | ~ sP15 ),
    inference(nnf_transformation,[],[f22]) ).

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

fof(f1739,plain,
    ( ~ spl77_100
    | ~ spl77_18 ),
    inference(avatar_split_clause,[],[f1738,f908,f1318]) ).

fof(f1318,plain,
    ( spl77_100
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_100])]) ).

fof(f908,plain,
    ( spl77_18
  <=> e4 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_18])]) ).

fof(f1738,plain,
    ( ~ sP18
    | ~ spl77_18 ),
    inference(trivial_inequality_removal,[],[f1737]) ).

fof(f1737,plain,
    ( e4 != e4
    | ~ sP18
    | ~ spl77_18 ),
    inference(forward_demodulation,[],[f456,f910]) ).

fof(f910,plain,
    ( e4 = op(e3,e2)
    | ~ spl77_18 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f456,plain,
    ( e4 != op(e3,e2)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ( ( e4 != op(e3,e2)
      & e3 != op(e3,e2)
      & e2 != op(e3,e2)
      & e1 != op(e3,e2)
      & e0 != op(e3,e2) )
    | ~ sP18 ),
    inference(nnf_transformation,[],[f25]) ).

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

fof(f1733,plain,
    ( ~ spl77_97
    | ~ spl77_20 ),
    inference(avatar_split_clause,[],[f1732,f918,f1303]) ).

fof(f1303,plain,
    ( spl77_97
  <=> sP20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_97])]) ).

fof(f918,plain,
    ( spl77_20
  <=> e2 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_20])]) ).

fof(f1732,plain,
    ( ~ sP20
    | ~ spl77_20 ),
    inference(trivial_inequality_removal,[],[f1731]) ).

fof(f1731,plain,
    ( e2 != e2
    | ~ sP20
    | ~ spl77_20 ),
    inference(forward_demodulation,[],[f444,f920]) ).

fof(f920,plain,
    ( e2 = op(e3,e4)
    | ~ spl77_20 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f444,plain,
    ( e2 != op(e3,e4)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ( ( e4 != op(e3,e4)
      & e3 != op(e3,e4)
      & e2 != op(e3,e4)
      & e1 != op(e3,e4)
      & e0 != op(e3,e4) )
    | ~ sP20 ),
    inference(nnf_transformation,[],[f27]) ).

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

fof(f1729,plain,
    ( ~ spl77_94
    | ~ spl77_24 ),
    inference(avatar_split_clause,[],[f1728,f938,f1288]) ).

fof(f1288,plain,
    ( spl77_94
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_94])]) ).

fof(f1728,plain,
    ( ~ sP23
    | ~ spl77_24 ),
    inference(trivial_inequality_removal,[],[f1727]) ).

fof(f1727,plain,
    ( unit != unit
    | ~ sP23
    | ~ spl77_24 ),
    inference(forward_demodulation,[],[f729,f940]) ).

fof(f729,plain,
    ( op(e4,e2) != unit
    | ~ sP23 ),
    inference(definition_unfolding,[],[f427,f568]) ).

fof(f427,plain,
    ( e0 != op(e4,e2)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ( ( e4 != op(e4,e2)
      & e3 != op(e4,e2)
      & e2 != op(e4,e2)
      & e1 != op(e4,e2)
      & e0 != op(e4,e2) )
    | ~ sP23 ),
    inference(nnf_transformation,[],[f30]) ).

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

fof(f1726,plain,
    ( ~ spl77_92
    | ~ spl77_22 ),
    inference(avatar_split_clause,[],[f1725,f928,f1278]) ).

fof(f1278,plain,
    ( spl77_92
  <=> sP24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_92])]) ).

fof(f928,plain,
    ( spl77_22
  <=> e2 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_22])]) ).

fof(f1725,plain,
    ( ~ sP24
    | ~ spl77_22 ),
    inference(trivial_inequality_removal,[],[f1724]) ).

fof(f1724,plain,
    ( e2 != e2
    | ~ sP24
    | ~ spl77_22 ),
    inference(forward_demodulation,[],[f424,f930]) ).

fof(f930,plain,
    ( e2 = op(e4,e3)
    | ~ spl77_22 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f424,plain,
    ( e2 != op(e4,e3)
    | ~ sP24 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ( ( e4 != op(e4,e3)
      & e3 != op(e4,e3)
      & e2 != op(e4,e3)
      & e1 != op(e4,e3)
      & e0 != op(e4,e3) )
    | ~ sP24 ),
    inference(nnf_transformation,[],[f31]) ).

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

fof(f1722,plain,
    ( ~ spl77_89
    | ~ spl77_35 ),
    inference(avatar_split_clause,[],[f1721,f993,f1263]) ).

fof(f1263,plain,
    ( spl77_89
  <=> sP40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_89])]) ).

fof(f1721,plain,
    ( ~ sP40
    | ~ spl77_35 ),
    inference(trivial_inequality_removal,[],[f1720]) ).

fof(f1720,plain,
    ( e1 != e1
    | ~ sP40
    | ~ spl77_35 ),
    inference(forward_demodulation,[],[f664,f995]) ).

fof(f664,plain,
    ( e1 != op(unit,e1)
    | ~ sP40 ),
    inference(definition_unfolding,[],[f342,f568]) ).

fof(f342,plain,
    ( e1 != op(e0,e1)
    | ~ sP40 ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ( ( e1 != op(e4,e1)
      & e1 != op(e3,e1)
      & e1 != op(e2,e1)
      & e1 != op(e1,e1)
      & e1 != op(e0,e1) )
    | ~ sP40 ),
    inference(nnf_transformation,[],[f47]) ).

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

fof(f1719,plain,
    ( ~ spl77_86
    | ~ spl77_13 ),
    inference(avatar_split_clause,[],[f1718,f883,f1248]) ).

fof(f1248,plain,
    ( spl77_86
  <=> sP43 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_86])]) ).

fof(f883,plain,
    ( spl77_13
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_13])]) ).

fof(f1718,plain,
    ( ~ sP43
    | ~ spl77_13 ),
    inference(trivial_inequality_removal,[],[f1717]) ).

fof(f1717,plain,
    ( e3 != e3
    | ~ sP43
    | ~ spl77_13 ),
    inference(forward_demodulation,[],[f329,f885]) ).

fof(f885,plain,
    ( e3 = op(e1,e2)
    | ~ spl77_13 ),
    inference(avatar_component_clause,[],[f883]) ).

fof(f329,plain,
    ( e3 != op(e1,e2)
    | ~ sP43 ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ( ( e3 != op(e1,e4)
      & e3 != op(e1,e3)
      & e3 != op(e1,e2)
      & e3 != op(e1,e1)
      & e3 != op(e1,e0) )
    | ~ sP43 ),
    inference(nnf_transformation,[],[f50]) ).

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

fof(f1715,plain,
    ( ~ spl77_84
    | ~ spl77_21 ),
    inference(avatar_split_clause,[],[f1714,f923,f1238]) ).

fof(f1238,plain,
    ( spl77_84
  <=> sP44 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_84])]) ).

fof(f923,plain,
    ( spl77_21
  <=> e3 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_21])]) ).

fof(f1714,plain,
    ( ~ sP44
    | ~ spl77_21 ),
    inference(trivial_inequality_removal,[],[f1713]) ).

fof(f1713,plain,
    ( e3 != e3
    | ~ sP44
    | ~ spl77_21 ),
    inference(forward_demodulation,[],[f326,f925]) ).

fof(f925,plain,
    ( e3 = op(e4,e1)
    | ~ spl77_21 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f326,plain,
    ( e3 != op(e4,e1)
    | ~ sP44 ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ( ( e3 != op(e4,e1)
      & e3 != op(e3,e1)
      & e3 != op(e2,e1)
      & e3 != op(e1,e1)
      & e3 != op(e0,e1) )
    | ~ sP44 ),
    inference(nnf_transformation,[],[f51]) ).

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

fof(f1711,plain,
    ( ~ spl77_83
    | ~ spl77_14 ),
    inference(avatar_split_clause,[],[f1710,f888,f1233]) ).

fof(f1233,plain,
    ( spl77_83
  <=> sP45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_83])]) ).

fof(f888,plain,
    ( spl77_14
  <=> e4 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_14])]) ).

fof(f1710,plain,
    ( ~ sP45
    | ~ spl77_14 ),
    inference(trivial_inequality_removal,[],[f1709]) ).

fof(f1709,plain,
    ( e4 != e4
    | ~ sP45
    | ~ spl77_14 ),
    inference(forward_demodulation,[],[f320,f890]) ).

fof(f890,plain,
    ( e4 = op(e1,e3)
    | ~ spl77_14 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f320,plain,
    ( e4 != op(e1,e3)
    | ~ sP45 ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ( ( e4 != op(e1,e4)
      & e4 != op(e1,e3)
      & e4 != op(e1,e2)
      & e4 != op(e1,e1)
      & e4 != op(e1,e0) )
    | ~ sP45 ),
    inference(nnf_transformation,[],[f52]) ).

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

fof(f1706,plain,
    ( ~ spl77_81
    | ~ spl77_15 ),
    inference(avatar_split_clause,[],[f1705,f893,f1223]) ).

fof(f1223,plain,
    ( spl77_81
  <=> sP46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_81])]) ).

fof(f1705,plain,
    ( ~ sP46
    | ~ spl77_15 ),
    inference(trivial_inequality_removal,[],[f1704]) ).

fof(f1704,plain,
    ( e4 != e4
    | ~ sP46
    | ~ spl77_15 ),
    inference(forward_demodulation,[],[f314,f895]) ).

fof(f314,plain,
    ( e4 != op(e2,e1)
    | ~ sP46 ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ( ( e4 != op(e4,e1)
      & e4 != op(e3,e1)
      & e4 != op(e2,e1)
      & e4 != op(e1,e1)
      & e4 != op(e0,e1) )
    | ~ sP46 ),
    inference(nnf_transformation,[],[f53]) ).

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

fof(f1702,plain,
    ( ~ spl77_79
    | ~ spl77_16 ),
    inference(avatar_split_clause,[],[f1701,f898,f1213]) ).

fof(f1213,plain,
    ( spl77_79
  <=> sP49 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_79])]) ).

fof(f1701,plain,
    ( ~ sP49
    | ~ spl77_16 ),
    inference(trivial_inequality_removal,[],[f1700]) ).

fof(f1700,plain,
    ( e1 != e1
    | ~ sP49
    | ~ spl77_16 ),
    inference(forward_demodulation,[],[f299,f900]) ).

fof(f299,plain,
    ( e1 != op(e2,e2)
    | ~ sP49 ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ( ( e1 != op(e2,e4)
      & e1 != op(e2,e3)
      & e1 != op(e2,e2)
      & e1 != op(e2,e1)
      & e1 != op(e2,e0) )
    | ~ sP49 ),
    inference(nnf_transformation,[],[f56]) ).

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

fof(f1698,plain,
    ( ~ spl77_77
    | ~ spl77_16 ),
    inference(avatar_split_clause,[],[f1697,f898,f1203]) ).

fof(f1203,plain,
    ( spl77_77
  <=> sP50 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_77])]) ).

fof(f1697,plain,
    ( ~ sP50
    | ~ spl77_16 ),
    inference(trivial_inequality_removal,[],[f1696]) ).

fof(f1696,plain,
    ( e1 != e1
    | ~ sP50
    | ~ spl77_16 ),
    inference(forward_demodulation,[],[f294,f900]) ).

fof(f294,plain,
    ( e1 != op(e2,e2)
    | ~ sP50 ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ( ( e1 != op(e4,e2)
      & e1 != op(e3,e2)
      & e1 != op(e2,e2)
      & e1 != op(e1,e2)
      & e1 != op(e0,e2) )
    | ~ sP50 ),
    inference(nnf_transformation,[],[f57]) ).

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

fof(f1694,plain,
    ( ~ spl77_75
    | ~ spl77_29 ),
    inference(avatar_split_clause,[],[f1693,f963,f1193]) ).

fof(f1193,plain,
    ( spl77_75
  <=> sP51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_75])]) ).

fof(f1693,plain,
    ( ~ sP51
    | ~ spl77_29 ),
    inference(trivial_inequality_removal,[],[f1692]) ).

fof(f1692,plain,
    ( e2 != e2
    | ~ sP51
    | ~ spl77_29 ),
    inference(forward_demodulation,[],[f645,f965]) ).

fof(f645,plain,
    ( e2 != op(e2,unit)
    | ~ sP51 ),
    inference(definition_unfolding,[],[f287,f568]) ).

fof(f287,plain,
    ( e2 != op(e2,e0)
    | ~ sP51 ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ( ( e2 != op(e2,e4)
      & e2 != op(e2,e3)
      & e2 != op(e2,e2)
      & e2 != op(e2,e1)
      & e2 != op(e2,e0) )
    | ~ sP51 ),
    inference(nnf_transformation,[],[f58]) ).

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

fof(f1691,plain,
    ( ~ spl77_73
    | ~ spl77_34 ),
    inference(avatar_split_clause,[],[f1690,f988,f1183]) ).

fof(f1183,plain,
    ( spl77_73
  <=> sP52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_73])]) ).

fof(f1690,plain,
    ( ~ sP52
    | ~ spl77_34 ),
    inference(trivial_inequality_removal,[],[f1689]) ).

fof(f1689,plain,
    ( e2 != e2
    | ~ sP52
    | ~ spl77_34 ),
    inference(forward_demodulation,[],[f644,f990]) ).

fof(f644,plain,
    ( e2 != op(unit,e2)
    | ~ sP52 ),
    inference(definition_unfolding,[],[f282,f568]) ).

fof(f282,plain,
    ( e2 != op(e0,e2)
    | ~ sP52 ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ( ( e2 != op(e4,e2)
      & e2 != op(e3,e2)
      & e2 != op(e2,e2)
      & e2 != op(e1,e2)
      & e2 != op(e0,e2) )
    | ~ sP52 ),
    inference(nnf_transformation,[],[f59]) ).

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

fof(f1688,plain,
    ( ~ spl77_71
    | ~ spl77_17 ),
    inference(avatar_split_clause,[],[f1687,f903,f1173]) ).

fof(f1173,plain,
    ( spl77_71
  <=> sP53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_71])]) ).

fof(f1687,plain,
    ( ~ sP53
    | ~ spl77_17 ),
    inference(trivial_inequality_removal,[],[f1686]) ).

fof(f1686,plain,
    ( e3 != e3
    | ~ sP53
    | ~ spl77_17 ),
    inference(forward_demodulation,[],[f281,f905]) ).

fof(f281,plain,
    ( e3 != op(e2,e4)
    | ~ sP53 ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ( ( e3 != op(e2,e4)
      & e3 != op(e2,e3)
      & e3 != op(e2,e2)
      & e3 != op(e2,e1)
      & e3 != op(e2,e0) )
    | ~ sP53 ),
    inference(nnf_transformation,[],[f60]) ).

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

fof(f1682,plain,
    ( ~ spl77_67
    | ~ spl77_18 ),
    inference(avatar_split_clause,[],[f1681,f908,f1153]) ).

fof(f1153,plain,
    ( spl77_67
  <=> sP56 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_67])]) ).

fof(f1681,plain,
    ( ~ sP56
    | ~ spl77_18 ),
    inference(trivial_inequality_removal,[],[f1680]) ).

fof(f1680,plain,
    ( e4 != e4
    | ~ sP56
    | ~ spl77_18 ),
    inference(forward_demodulation,[],[f265,f910]) ).

fof(f265,plain,
    ( e4 != op(e3,e2)
    | ~ sP56 ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ( ( e4 != op(e4,e2)
      & e4 != op(e3,e2)
      & e4 != op(e2,e2)
      & e4 != op(e1,e2)
      & e4 != op(e0,e2) )
    | ~ sP56 ),
    inference(nnf_transformation,[],[f63]) ).

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

fof(f1677,plain,
    ( ~ spl77_65
    | ~ spl77_19 ),
    inference(avatar_split_clause,[],[f1676,f913,f1143]) ).

fof(f1143,plain,
    ( spl77_65
  <=> sP59 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_65])]) ).

fof(f913,plain,
    ( spl77_19
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_19])]) ).

fof(f1676,plain,
    ( ~ sP59
    | ~ spl77_19 ),
    inference(trivial_inequality_removal,[],[f1675]) ).

fof(f1675,plain,
    ( e1 != e1
    | ~ sP59
    | ~ spl77_19 ),
    inference(forward_demodulation,[],[f250,f915]) ).

fof(f915,plain,
    ( e1 = op(e3,e3)
    | ~ spl77_19 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f250,plain,
    ( e1 != op(e3,e3)
    | ~ sP59 ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ( ( e1 != op(e3,e4)
      & e1 != op(e3,e3)
      & e1 != op(e3,e2)
      & e1 != op(e3,e1)
      & e1 != op(e3,e0) )
    | ~ sP59 ),
    inference(nnf_transformation,[],[f66]) ).

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

fof(f1673,plain,
    ( ~ spl77_63
    | ~ spl77_19 ),
    inference(avatar_split_clause,[],[f1672,f913,f1133]) ).

fof(f1133,plain,
    ( spl77_63
  <=> sP60 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_63])]) ).

fof(f1672,plain,
    ( ~ sP60
    | ~ spl77_19 ),
    inference(trivial_inequality_removal,[],[f1671]) ).

fof(f1671,plain,
    ( e1 != e1
    | ~ sP60
    | ~ spl77_19 ),
    inference(forward_demodulation,[],[f245,f915]) ).

fof(f245,plain,
    ( e1 != op(e3,e3)
    | ~ sP60 ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ( ( e1 != op(e4,e3)
      & e1 != op(e3,e3)
      & e1 != op(e2,e3)
      & e1 != op(e1,e3)
      & e1 != op(e0,e3) )
    | ~ sP60 ),
    inference(nnf_transformation,[],[f67]) ).

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

fof(f1669,plain,
    ( ~ spl77_61
    | ~ spl77_20 ),
    inference(avatar_split_clause,[],[f1668,f918,f1123]) ).

fof(f1123,plain,
    ( spl77_61
  <=> sP61 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_61])]) ).

fof(f1668,plain,
    ( ~ sP61
    | ~ spl77_20 ),
    inference(trivial_inequality_removal,[],[f1667]) ).

fof(f1667,plain,
    ( e2 != e2
    | ~ sP61
    | ~ spl77_20 ),
    inference(forward_demodulation,[],[f241,f920]) ).

fof(f241,plain,
    ( e2 != op(e3,e4)
    | ~ sP61 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ( ( e2 != op(e3,e4)
      & e2 != op(e3,e3)
      & e2 != op(e3,e2)
      & e2 != op(e3,e1)
      & e2 != op(e3,e0) )
    | ~ sP61 ),
    inference(nnf_transformation,[],[f68]) ).

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

fof(f1663,plain,
    ( ~ spl77_59
    | ~ spl77_22 ),
    inference(avatar_split_clause,[],[f1662,f928,f1113]) ).

fof(f1113,plain,
    ( spl77_59
  <=> sP62 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_59])]) ).

fof(f1662,plain,
    ( ~ sP62
    | ~ spl77_22 ),
    inference(trivial_inequality_removal,[],[f1661]) ).

fof(f1661,plain,
    ( e2 != e2
    | ~ sP62
    | ~ spl77_22 ),
    inference(forward_demodulation,[],[f236,f930]) ).

fof(f236,plain,
    ( e2 != op(e4,e3)
    | ~ sP62 ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ( ( e2 != op(e4,e3)
      & e2 != op(e3,e3)
      & e2 != op(e2,e3)
      & e2 != op(e1,e3)
      & e2 != op(e0,e3) )
    | ~ sP62 ),
    inference(nnf_transformation,[],[f69]) ).

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

fof(f1657,plain,
    ( ~ spl77_57
    | ~ spl77_27 ),
    inference(avatar_split_clause,[],[f1656,f953,f1103]) ).

fof(f1103,plain,
    ( spl77_57
  <=> sP63 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_57])]) ).

fof(f1656,plain,
    ( ~ sP63
    | ~ spl77_27 ),
    inference(trivial_inequality_removal,[],[f1655]) ).

fof(f1655,plain,
    ( e3 != e3
    | ~ sP63
    | ~ spl77_27 ),
    inference(forward_demodulation,[],[f625,f955]) ).

fof(f625,plain,
    ( e3 != op(e3,unit)
    | ~ sP63 ),
    inference(definition_unfolding,[],[f227,f568]) ).

fof(f227,plain,
    ( e3 != op(e3,e0)
    | ~ sP63 ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ( ( e3 != op(e3,e4)
      & e3 != op(e3,e3)
      & e3 != op(e3,e2)
      & e3 != op(e3,e1)
      & e3 != op(e3,e0) )
    | ~ sP63 ),
    inference(nnf_transformation,[],[f70]) ).

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

fof(f1654,plain,
    ( ~ spl77_55
    | ~ spl77_33 ),
    inference(avatar_split_clause,[],[f1653,f983,f1093]) ).

fof(f1093,plain,
    ( spl77_55
  <=> sP64 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_55])]) ).

fof(f1653,plain,
    ( ~ sP64
    | ~ spl77_33 ),
    inference(trivial_inequality_removal,[],[f1652]) ).

fof(f1652,plain,
    ( e3 != e3
    | ~ sP64
    | ~ spl77_33 ),
    inference(forward_demodulation,[],[f624,f985]) ).

fof(f624,plain,
    ( e3 != op(unit,e3)
    | ~ sP64 ),
    inference(definition_unfolding,[],[f222,f568]) ).

fof(f222,plain,
    ( e3 != op(e0,e3)
    | ~ sP64 ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ( ( e3 != op(e4,e3)
      & e3 != op(e3,e3)
      & e3 != op(e2,e3)
      & e3 != op(e1,e3)
      & e3 != op(e0,e3) )
    | ~ sP64 ),
    inference(nnf_transformation,[],[f71]) ).

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

fof(f1651,plain,
    ( ~ spl77_53
    | ~ spl77_18 ),
    inference(avatar_split_clause,[],[f1650,f908,f1083]) ).

fof(f1083,plain,
    ( spl77_53
  <=> sP65 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_53])]) ).

fof(f1650,plain,
    ( ~ sP65
    | ~ spl77_18 ),
    inference(trivial_inequality_removal,[],[f1649]) ).

fof(f1649,plain,
    ( e4 != e4
    | ~ sP65
    | ~ spl77_18 ),
    inference(forward_demodulation,[],[f219,f910]) ).

fof(f219,plain,
    ( e4 != op(e3,e2)
    | ~ sP65 ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ( ( e4 != op(e3,e4)
      & e4 != op(e3,e3)
      & e4 != op(e3,e2)
      & e4 != op(e3,e1)
      & e4 != op(e3,e0) )
    | ~ sP65 ),
    inference(nnf_transformation,[],[f72]) ).

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

fof(f1647,plain,
    ( ~ spl77_50
    | ~ spl77_23 ),
    inference(avatar_split_clause,[],[f1646,f933,f1068]) ).

fof(f1068,plain,
    ( spl77_50
  <=> sP69 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_50])]) ).

fof(f933,plain,
    ( spl77_23
  <=> e1 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_23])]) ).

fof(f1646,plain,
    ( ~ sP69
    | ~ spl77_23 ),
    inference(trivial_inequality_removal,[],[f1645]) ).

fof(f1645,plain,
    ( e1 != e1
    | ~ sP69
    | ~ spl77_23 ),
    inference(forward_demodulation,[],[f201,f935]) ).

fof(f935,plain,
    ( e1 = op(e4,e4)
    | ~ spl77_23 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f201,plain,
    ( e1 != op(e4,e4)
    | ~ sP69 ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ( ( e1 != op(e4,e4)
      & e1 != op(e4,e3)
      & e1 != op(e4,e2)
      & e1 != op(e4,e1)
      & e1 != op(e4,e0) )
    | ~ sP69 ),
    inference(nnf_transformation,[],[f76]) ).

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

fof(f1644,plain,
    ( ~ spl77_48
    | ~ spl77_23 ),
    inference(avatar_split_clause,[],[f1643,f933,f1058]) ).

fof(f1058,plain,
    ( spl77_48
  <=> sP70 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_48])]) ).

fof(f1643,plain,
    ( ~ sP70
    | ~ spl77_23 ),
    inference(trivial_inequality_removal,[],[f1642]) ).

fof(f1642,plain,
    ( e1 != e1
    | ~ sP70
    | ~ spl77_23 ),
    inference(forward_demodulation,[],[f196,f935]) ).

fof(f196,plain,
    ( e1 != op(e4,e4)
    | ~ sP70 ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ( ( e1 != op(e4,e4)
      & e1 != op(e3,e4)
      & e1 != op(e2,e4)
      & e1 != op(e1,e4)
      & e1 != op(e0,e4) )
    | ~ sP70 ),
    inference(nnf_transformation,[],[f77]) ).

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

fof(f1641,plain,
    ( ~ spl77_44
    | ~ spl77_20 ),
    inference(avatar_split_clause,[],[f1640,f918,f1038]) ).

fof(f1038,plain,
    ( spl77_44
  <=> sP72 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_44])]) ).

fof(f1640,plain,
    ( ~ sP72
    | ~ spl77_20 ),
    inference(trivial_inequality_removal,[],[f1639]) ).

fof(f1639,plain,
    ( e2 != e2
    | ~ sP72
    | ~ spl77_20 ),
    inference(forward_demodulation,[],[f185,f920]) ).

fof(f185,plain,
    ( e2 != op(e3,e4)
    | ~ sP72 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ( ( e2 != op(e4,e4)
      & e2 != op(e3,e4)
      & e2 != op(e2,e4)
      & e2 != op(e1,e4)
      & e2 != op(e0,e4) )
    | ~ sP72 ),
    inference(nnf_transformation,[],[f79]) ).

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

fof(f1637,plain,
    ( ~ spl77_41
    | ~ spl77_17 ),
    inference(avatar_split_clause,[],[f1636,f903,f1023]) ).

fof(f1023,plain,
    ( spl77_41
  <=> sP74 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_41])]) ).

fof(f1636,plain,
    ( ~ sP74
    | ~ spl77_17 ),
    inference(trivial_inequality_removal,[],[f1635]) ).

fof(f1635,plain,
    ( e3 != e3
    | ~ sP74
    | ~ spl77_17 ),
    inference(forward_demodulation,[],[f174,f905]) ).

fof(f174,plain,
    ( e3 != op(e2,e4)
    | ~ sP74 ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ( ( e3 != op(e4,e4)
      & e3 != op(e3,e4)
      & e3 != op(e2,e4)
      & e3 != op(e1,e4)
      & e3 != op(e0,e4) )
    | ~ sP74 ),
    inference(nnf_transformation,[],[f81]) ).

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

fof(f1634,plain,
    ( ~ spl77_39
    | ~ spl77_25 ),
    inference(avatar_split_clause,[],[f1633,f943,f1013]) ).

fof(f1013,plain,
    ( spl77_39
  <=> sP75 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_39])]) ).

fof(f943,plain,
    ( spl77_25
  <=> e4 = op(e4,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_25])]) ).

fof(f1633,plain,
    ( ~ sP75
    | ~ spl77_25 ),
    inference(trivial_inequality_removal,[],[f1632]) ).

fof(f1632,plain,
    ( e4 != e4
    | ~ sP75
    | ~ spl77_25 ),
    inference(forward_demodulation,[],[f605,f945]) ).

fof(f945,plain,
    ( e4 = op(e4,unit)
    | ~ spl77_25 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f605,plain,
    ( e4 != op(e4,unit)
    | ~ sP75 ),
    inference(definition_unfolding,[],[f167,f568]) ).

fof(f167,plain,
    ( e4 != op(e4,e0)
    | ~ sP75 ),
    inference(cnf_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) )
    | ~ sP75 ),
    inference(nnf_transformation,[],[f82]) ).

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

fof(f1631,plain,
    ( ~ spl77_46
    | ~ spl77_22 ),
    inference(avatar_split_clause,[],[f1630,f928,f1048]) ).

fof(f1048,plain,
    ( spl77_46
  <=> sP71 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_46])]) ).

fof(f1630,plain,
    ( ~ sP71
    | ~ spl77_22 ),
    inference(trivial_inequality_removal,[],[f1629]) ).

fof(f1629,plain,
    ( e2 != e2
    | ~ sP71
    | ~ spl77_22 ),
    inference(forward_demodulation,[],[f190,f930]) ).

fof(f190,plain,
    ( e2 != op(e4,e3)
    | ~ sP71 ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ( ( e2 != op(e4,e4)
      & e2 != op(e4,e3)
      & e2 != op(e4,e2)
      & e2 != op(e4,e1)
      & e2 != op(e4,e0) )
    | ~ sP71 ),
    inference(nnf_transformation,[],[f78]) ).

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

fof(f1627,plain,
    ( spl77_161
    | spl77_159
    | spl77_157
    | spl77_155
    | spl77_153
    | spl77_152
    | spl77_150
    | spl77_110
    | spl77_109
    | spl77_108
    | spl77_149
    | spl77_147
    | spl77_107
    | spl77_106
    | spl77_104
    | spl77_102
    | spl77_145
    | spl77_144
    | spl77_100
    | spl77_99
    | spl77_97
    | spl77_143
    | spl77_96
    | spl77_94
    | spl77_92
    | spl77_91
    | ~ spl77_36
    | ~ spl77_35
    | ~ spl77_31
    | ~ spl77_34
    | ~ spl77_29
    | ~ spl77_33
    | ~ spl77_27
    | ~ spl77_32
    | ~ spl77_25
    | spl77_1
    | spl77_141
    | spl77_139
    | spl77_137
    | spl77_135
    | spl77_133
    | spl77_131
    | spl77_129
    | spl77_127
    | spl77_126
    | spl77_125
    | spl77_124
    | spl77_122
    | spl77_121
    | spl77_89
    | spl77_88
    | spl77_87
    | spl77_86
    | spl77_84
    | spl77_83
    | spl77_81
    | spl77_119
    | spl77_118
    | spl77_79
    | spl77_77
    | spl77_75
    | spl77_73
    | spl77_71
    | spl77_70
    | spl77_69
    | spl77_67
    | spl77_116
    | spl77_114
    | spl77_65
    | spl77_63
    | spl77_61
    | spl77_59
    | spl77_57
    | spl77_55
    | spl77_53
    | spl77_52
    | spl77_113
    | spl77_111
    | spl77_50
    | spl77_48
    | spl77_46
    | spl77_44
    | spl77_43
    | spl77_41
    | spl77_39
    | spl77_37 ),
    inference(avatar_split_clause,[],[f815,f1003,f1013,f1023,f1033,f1038,f1048,f1058,f1068,f1373,f1383,f1078,f1083,f1093,f1103,f1113,f1123,f1133,f1143,f1388,f1398,f1153,f1163,f1168,f1173,f1183,f1193,f1203,f1213,f1408,f1413,f1223,f1233,f1238,f1248,f1253,f1258,f1263,f1423,f1428,f1438,f1443,f1448,f1453,f1463,f1473,f1483,f1493,f1503,f1513,f1523,f823,f943,f978,f953,f983,f963,f988,f973,f993,f998,f1273,f1278,f1288,f1298,f1533,f1303,f1313,f1318,f1538,f1543,f1328,f1338,f1348,f1353,f1553,f1563,f1358,f1363,f1368,f1568,f1578,f1583,f1593,f1603,f1613,f1623]) ).

fof(f1578,plain,
    ( spl77_152
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_152])]) ).

fof(f1368,plain,
    ( spl77_110
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_110])]) ).

fof(f1363,plain,
    ( spl77_109
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_109])]) ).

fof(f1358,plain,
    ( spl77_108
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_108])]) ).

fof(f1563,plain,
    ( spl77_149
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_149])]) ).

fof(f1353,plain,
    ( spl77_107
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_107])]) ).

fof(f1348,plain,
    ( spl77_106
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_106])]) ).

fof(f1538,plain,
    ( spl77_144
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_144])]) ).

fof(f1313,plain,
    ( spl77_99
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_99])]) ).

fof(f1533,plain,
    ( spl77_143
  <=> sP21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_143])]) ).

fof(f1298,plain,
    ( spl77_96
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_96])]) ).

fof(f1273,plain,
    ( spl77_91
  <=> sP25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_91])]) ).

fof(f823,plain,
    ( spl77_1
  <=> sP26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_1])]) ).

fof(f1448,plain,
    ( spl77_126
  <=> sP35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_126])]) ).

fof(f1443,plain,
    ( spl77_125
  <=> sP36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_125])]) ).

fof(f1438,plain,
    ( spl77_124
  <=> sP37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_124])]) ).

fof(f1423,plain,
    ( spl77_121
  <=> sP39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_121])]) ).

fof(f1258,plain,
    ( spl77_88
  <=> sP41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_88])]) ).

fof(f1253,plain,
    ( spl77_87
  <=> sP42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_87])]) ).

fof(f1408,plain,
    ( spl77_118
  <=> sP48 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_118])]) ).

fof(f1168,plain,
    ( spl77_70
  <=> sP54 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_70])]) ).

fof(f1163,plain,
    ( spl77_69
  <=> sP55 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_69])]) ).

fof(f1078,plain,
    ( spl77_52
  <=> sP66 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_52])]) ).

fof(f1033,plain,
    ( spl77_43
  <=> sP73 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_43])]) ).

fof(f815,plain,
    ( 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
    | sP29
    | sP28
    | sP27
    | sP26
    | 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)
    | 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,[],[f797]) ).

fof(f797,plain,
    ( 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
    | sP29
    | sP28
    | sP27
    | sP26
    | 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)
    | 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,[],[f567,f568,f568,f568,f568]) ).

fof(f567,plain,
    ( 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
    | sP29
    | sP28
    | sP27
    | sP26
    | 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)
    | 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,[],[f84]) ).

fof(f84,plain,
    ( 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
    | sP29
    | sP28
    | sP27
    | sP26
    | 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)
    | 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,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(f12,plain,
    ( ( e4 != op(e0,e4)
      & e3 != op(e0,e4)
      & e2 != op(e0,e4)
      & e1 != op(e0,e4)
      & e0 != op(e0,e4) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f1626,plain,
    ( ~ spl77_161
    | ~ spl77_12
    | ~ spl77_16
    | spl77_78 ),
    inference(avatar_split_clause,[],[f549,f1207,f898,f878,f1623]) ).

fof(f1207,plain,
    ( spl77_78
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_78])]) ).

fof(f549,plain,
    ( e1 = op(e1,e2)
    | e1 != op(e2,e2)
    | e2 != op(e1,e1)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f161]) ).

fof(f1620,plain,
    ( ~ spl77_159
    | ~ spl77_160 ),
    inference(avatar_split_clause,[],[f783,f1617,f1613]) ).

fof(f1617,plain,
    ( spl77_160
  <=> e4 = op(unit,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_160])]) ).

fof(f783,plain,
    ( e4 != op(unit,unit)
    | ~ sP1 ),
    inference(definition_unfolding,[],[f541,f568,f568]) ).

fof(f541,plain,
    ( e4 != op(e0,e0)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f160]) ).

fof(f1610,plain,
    ( ~ spl77_157
    | ~ spl77_158 ),
    inference(avatar_split_clause,[],[f778,f1607,f1603]) ).

fof(f1607,plain,
    ( spl77_158
  <=> e4 = op(unit,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_158])]) ).

fof(f778,plain,
    ( e4 != op(unit,e1)
    | ~ sP2 ),
    inference(definition_unfolding,[],[f536,f568]) ).

fof(f536,plain,
    ( e4 != op(e0,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f159]) ).

fof(f1600,plain,
    ( ~ spl77_155
    | ~ spl77_156 ),
    inference(avatar_split_clause,[],[f773,f1597,f1593]) ).

fof(f1597,plain,
    ( spl77_156
  <=> e4 = op(unit,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_156])]) ).

fof(f773,plain,
    ( e4 != op(unit,e2)
    | ~ sP3 ),
    inference(definition_unfolding,[],[f531,f568]) ).

fof(f531,plain,
    ( e4 != op(e0,e2)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f158]) ).

fof(f1590,plain,
    ( ~ spl77_153
    | ~ spl77_154 ),
    inference(avatar_split_clause,[],[f768,f1587,f1583]) ).

fof(f1587,plain,
    ( spl77_154
  <=> e4 = op(unit,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_154])]) ).

fof(f768,plain,
    ( e4 != op(unit,e3)
    | ~ sP4 ),
    inference(definition_unfolding,[],[f526,f568]) ).

fof(f526,plain,
    ( e4 != op(e0,e3)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f157]) ).

fof(f1581,plain,
    ( ~ spl77_152
    | ~ spl77_32 ),
    inference(avatar_split_clause,[],[f763,f978,f1578]) ).

fof(f763,plain,
    ( e4 != op(unit,e4)
    | ~ sP5 ),
    inference(definition_unfolding,[],[f521,f568]) ).

fof(f521,plain,
    ( e4 != op(e0,e4)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f156]) ).

fof(f156,plain,
    ( ( e4 != op(e0,e4)
      & e3 != op(e0,e4)
      & e2 != op(e0,e4)
      & e1 != op(e0,e4)
      & e0 != op(e0,e4) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f12]) ).

fof(f1575,plain,
    ( ~ spl77_150
    | ~ spl77_151 ),
    inference(avatar_split_clause,[],[f758,f1572,f1568]) ).

fof(f1572,plain,
    ( spl77_151
  <=> e4 = op(e1,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_151])]) ).

fof(f758,plain,
    ( e4 != op(e1,unit)
    | ~ sP6 ),
    inference(definition_unfolding,[],[f516,f568]) ).

fof(f516,plain,
    ( e4 != op(e1,e0)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f155]) ).

fof(f1566,plain,
    ( ~ spl77_149
    | ~ spl77_30 ),
    inference(avatar_split_clause,[],[f754,f968,f1563]) ).

fof(f754,plain,
    ( op(e1,e4) != unit
    | ~ sP10 ),
    inference(definition_unfolding,[],[f492,f568]) ).

fof(f492,plain,
    ( e0 != op(e1,e4)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ( ( e4 != op(e1,e4)
      & e3 != op(e1,e4)
      & e2 != op(e1,e4)
      & e1 != op(e1,e4)
      & e0 != op(e1,e4) )
    | ~ sP10 ),
    inference(nnf_transformation,[],[f17]) ).

fof(f1560,plain,
    ( ~ spl77_147
    | ~ spl77_148 ),
    inference(avatar_split_clause,[],[f749,f1557,f1553]) ).

fof(f1557,plain,
    ( spl77_148
  <=> e4 = op(e2,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_148])]) ).

fof(f749,plain,
    ( e4 != op(e2,unit)
    | ~ sP11 ),
    inference(definition_unfolding,[],[f491,f568]) ).

fof(f491,plain,
    ( e4 != op(e2,e0)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f150]) ).

fof(f1550,plain,
    ( ~ spl77_145
    | ~ spl77_146 ),
    inference(avatar_split_clause,[],[f740,f1547,f1543]) ).

fof(f1547,plain,
    ( spl77_146
  <=> e4 = op(e3,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_146])]) ).

fof(f740,plain,
    ( e4 != op(e3,unit)
    | ~ sP16 ),
    inference(definition_unfolding,[],[f466,f568]) ).

fof(f466,plain,
    ( e4 != op(e3,e0)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f145]) ).

fof(f1541,plain,
    ( ~ spl77_144
    | ~ spl77_26 ),
    inference(avatar_split_clause,[],[f739,f948,f1538]) ).

fof(f739,plain,
    ( op(e3,e1) != unit
    | ~ sP17 ),
    inference(definition_unfolding,[],[f457,f568]) ).

fof(f457,plain,
    ( e0 != op(e3,e1)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ( ( e4 != op(e3,e1)
      & e3 != op(e3,e1)
      & e2 != op(e3,e1)
      & e1 != op(e3,e1)
      & e0 != op(e3,e1) )
    | ~ sP17 ),
    inference(nnf_transformation,[],[f24]) ).

fof(f1536,plain,
    ( ~ spl77_143
    | ~ spl77_25 ),
    inference(avatar_split_clause,[],[f731,f943,f1533]) ).

fof(f731,plain,
    ( e4 != op(e4,unit)
    | ~ sP21 ),
    inference(definition_unfolding,[],[f441,f568]) ).

fof(f441,plain,
    ( e4 != op(e4,e0)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ( ( e4 != op(e4,e0)
      & e3 != op(e4,e0)
      & e2 != op(e4,e0)
      & e1 != op(e4,e0)
      & e0 != op(e4,e0) )
    | ~ sP21 ),
    inference(nnf_transformation,[],[f28]) ).

fof(f1530,plain,
    ( ~ spl77_141
    | ~ spl77_142 ),
    inference(avatar_split_clause,[],[f721,f1527,f1523]) ).

fof(f1527,plain,
    ( spl77_142
  <=> unit = op(unit,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_142])]) ).

fof(f721,plain,
    ( unit != op(unit,e4)
    | ~ sP27 ),
    inference(definition_unfolding,[],[f411,f568,f568]) ).

fof(f411,plain,
    ( e0 != op(e0,e4)
    | ~ sP27 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f1520,plain,
    ( ~ spl77_139
    | ~ spl77_140 ),
    inference(avatar_split_clause,[],[f716,f1517,f1513]) ).

fof(f1517,plain,
    ( spl77_140
  <=> unit = op(e4,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_140])]) ).

fof(f716,plain,
    ( unit != op(e4,unit)
    | ~ sP28 ),
    inference(definition_unfolding,[],[f406,f568,f568]) ).

fof(f406,plain,
    ( e0 != op(e4,e0)
    | ~ sP28 ),
    inference(cnf_transformation,[],[f133]) ).

fof(f1510,plain,
    ( ~ spl77_137
    | ~ spl77_138 ),
    inference(avatar_split_clause,[],[f711,f1507,f1503]) ).

fof(f1507,plain,
    ( spl77_138
  <=> e1 = op(unit,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_138])]) ).

fof(f711,plain,
    ( e1 != op(unit,e4)
    | ~ sP29 ),
    inference(definition_unfolding,[],[f401,f568]) ).

fof(f401,plain,
    ( e1 != op(e0,e4)
    | ~ sP29 ),
    inference(cnf_transformation,[],[f132]) ).

fof(f1500,plain,
    ( ~ spl77_135
    | ~ spl77_136 ),
    inference(avatar_split_clause,[],[f706,f1497,f1493]) ).

fof(f1497,plain,
    ( spl77_136
  <=> e1 = op(e4,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_136])]) ).

fof(f706,plain,
    ( e1 != op(e4,unit)
    | ~ sP30 ),
    inference(definition_unfolding,[],[f396,f568]) ).

fof(f396,plain,
    ( e1 != op(e4,e0)
    | ~ sP30 ),
    inference(cnf_transformation,[],[f131]) ).

fof(f1490,plain,
    ( ~ spl77_133
    | ~ spl77_134 ),
    inference(avatar_split_clause,[],[f701,f1487,f1483]) ).

fof(f1487,plain,
    ( spl77_134
  <=> e2 = op(unit,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_134])]) ).

fof(f701,plain,
    ( e2 != op(unit,e4)
    | ~ sP31 ),
    inference(definition_unfolding,[],[f391,f568]) ).

fof(f391,plain,
    ( e2 != op(e0,e4)
    | ~ sP31 ),
    inference(cnf_transformation,[],[f130]) ).

fof(f1480,plain,
    ( ~ spl77_131
    | ~ spl77_132 ),
    inference(avatar_split_clause,[],[f696,f1477,f1473]) ).

fof(f1477,plain,
    ( spl77_132
  <=> e2 = op(e4,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_132])]) ).

fof(f696,plain,
    ( e2 != op(e4,unit)
    | ~ sP32 ),
    inference(definition_unfolding,[],[f386,f568]) ).

fof(f386,plain,
    ( e2 != op(e4,e0)
    | ~ sP32 ),
    inference(cnf_transformation,[],[f129]) ).

fof(f1470,plain,
    ( ~ spl77_129
    | ~ spl77_130 ),
    inference(avatar_split_clause,[],[f691,f1467,f1463]) ).

fof(f1467,plain,
    ( spl77_130
  <=> e3 = op(unit,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_130])]) ).

fof(f691,plain,
    ( e3 != op(unit,e4)
    | ~ sP33 ),
    inference(definition_unfolding,[],[f381,f568]) ).

fof(f381,plain,
    ( e3 != op(e0,e4)
    | ~ sP33 ),
    inference(cnf_transformation,[],[f128]) ).

fof(f1460,plain,
    ( ~ spl77_127
    | ~ spl77_128 ),
    inference(avatar_split_clause,[],[f686,f1457,f1453]) ).

fof(f1457,plain,
    ( spl77_128
  <=> e3 = op(e4,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_128])]) ).

fof(f686,plain,
    ( e3 != op(e4,unit)
    | ~ sP34 ),
    inference(definition_unfolding,[],[f376,f568]) ).

fof(f376,plain,
    ( e3 != op(e4,e0)
    | ~ sP34 ),
    inference(cnf_transformation,[],[f127]) ).

fof(f1451,plain,
    ( ~ spl77_126
    | ~ spl77_32 ),
    inference(avatar_split_clause,[],[f681,f978,f1448]) ).

fof(f681,plain,
    ( e4 != op(unit,e4)
    | ~ sP35 ),
    inference(definition_unfolding,[],[f371,f568]) ).

fof(f371,plain,
    ( e4 != op(e0,e4)
    | ~ sP35 ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( ( e4 != op(e0,e4)
      & e4 != op(e0,e3)
      & e4 != op(e0,e2)
      & e4 != op(e0,e1)
      & e4 != op(e0,e0) )
    | ~ sP35 ),
    inference(nnf_transformation,[],[f42]) ).

fof(f1446,plain,
    ( ~ spl77_125
    | ~ spl77_25 ),
    inference(avatar_split_clause,[],[f676,f943,f1443]) ).

fof(f676,plain,
    ( e4 != op(e4,unit)
    | ~ sP36 ),
    inference(definition_unfolding,[],[f366,f568]) ).

fof(f366,plain,
    ( e4 != op(e4,e0)
    | ~ sP36 ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ( ( e4 != op(e4,e0)
      & e4 != op(e3,e0)
      & e4 != op(e2,e0)
      & e4 != op(e1,e0)
      & e4 != op(e0,e0) )
    | ~ sP36 ),
    inference(nnf_transformation,[],[f43]) ).

fof(f1441,plain,
    ( ~ spl77_124
    | ~ spl77_30 ),
    inference(avatar_split_clause,[],[f671,f968,f1438]) ).

fof(f671,plain,
    ( op(e1,e4) != unit
    | ~ sP37 ),
    inference(definition_unfolding,[],[f361,f568]) ).

fof(f361,plain,
    ( e0 != op(e1,e4)
    | ~ sP37 ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ( ( e0 != op(e1,e4)
      & e0 != op(e1,e3)
      & e0 != op(e1,e2)
      & e0 != op(e1,e1)
      & e0 != op(e1,e0) )
    | ~ sP37 ),
    inference(nnf_transformation,[],[f44]) ).

fof(f1435,plain,
    ( ~ spl77_122
    | ~ spl77_123 ),
    inference(avatar_split_clause,[],[f666,f1432,f1428]) ).

fof(f1432,plain,
    ( spl77_123
  <=> op(e4,e1) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_123])]) ).

fof(f666,plain,
    ( op(e4,e1) != unit
    | ~ sP38 ),
    inference(definition_unfolding,[],[f356,f568]) ).

fof(f356,plain,
    ( e0 != op(e4,e1)
    | ~ sP38 ),
    inference(cnf_transformation,[],[f123]) ).

fof(f1426,plain,
    ( ~ spl77_121
    | ~ spl77_31 ),
    inference(avatar_split_clause,[],[f665,f973,f1423]) ).

fof(f665,plain,
    ( e1 != op(e1,unit)
    | ~ sP39 ),
    inference(definition_unfolding,[],[f347,f568]) ).

fof(f347,plain,
    ( e1 != op(e1,e0)
    | ~ sP39 ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ( ( e1 != op(e1,e4)
      & e1 != op(e1,e3)
      & e1 != op(e1,e2)
      & e1 != op(e1,e1)
      & e1 != op(e1,e0) )
    | ~ sP39 ),
    inference(nnf_transformation,[],[f46]) ).

fof(f1420,plain,
    ( ~ spl77_119
    | ~ spl77_120 ),
    inference(avatar_split_clause,[],[f653,f1417,f1413]) ).

fof(f1417,plain,
    ( spl77_120
  <=> op(e2,e4) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_120])]) ).

fof(f653,plain,
    ( op(e2,e4) != unit
    | ~ sP47 ),
    inference(definition_unfolding,[],[f311,f568]) ).

fof(f311,plain,
    ( e0 != op(e2,e4)
    | ~ sP47 ),
    inference(cnf_transformation,[],[f114]) ).

fof(f1411,plain,
    ( ~ spl77_118
    | ~ spl77_24 ),
    inference(avatar_split_clause,[],[f648,f938,f1408]) ).

fof(f648,plain,
    ( op(e4,e2) != unit
    | ~ sP48 ),
    inference(definition_unfolding,[],[f306,f568]) ).

fof(f306,plain,
    ( e0 != op(e4,e2)
    | ~ sP48 ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ( ( e0 != op(e4,e2)
      & e0 != op(e3,e2)
      & e0 != op(e2,e2)
      & e0 != op(e1,e2)
      & e0 != op(e0,e2) )
    | ~ sP48 ),
    inference(nnf_transformation,[],[f55]) ).

fof(f1405,plain,
    ( ~ spl77_116
    | ~ spl77_117 ),
    inference(avatar_split_clause,[],[f635,f1402,f1398]) ).

fof(f1402,plain,
    ( spl77_117
  <=> op(e3,e4) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_117])]) ).

fof(f635,plain,
    ( op(e3,e4) != unit
    | ~ sP57 ),
    inference(definition_unfolding,[],[f261,f568]) ).

fof(f261,plain,
    ( e0 != op(e3,e4)
    | ~ sP57 ),
    inference(cnf_transformation,[],[f104]) ).

fof(f1395,plain,
    ( ~ spl77_114
    | ~ spl77_115 ),
    inference(avatar_split_clause,[],[f630,f1392,f1388]) ).

fof(f1392,plain,
    ( spl77_115
  <=> op(e4,e3) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_115])]) ).

fof(f630,plain,
    ( op(e4,e3) != unit
    | ~ sP58 ),
    inference(definition_unfolding,[],[f256,f568]) ).

fof(f256,plain,
    ( e0 != op(e4,e3)
    | ~ sP58 ),
    inference(cnf_transformation,[],[f103]) ).

fof(f1386,plain,
    ( ~ spl77_113
    | ~ spl77_112 ),
    inference(avatar_split_clause,[],[f617,f1377,f1383]) ).

fof(f1377,plain,
    ( spl77_112
  <=> op(e4,e4) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_112])]) ).

fof(f617,plain,
    ( op(e4,e4) != unit
    | ~ sP67 ),
    inference(definition_unfolding,[],[f211,f568]) ).

fof(f211,plain,
    ( e0 != op(e4,e4)
    | ~ sP67 ),
    inference(cnf_transformation,[],[f94]) ).

fof(f1380,plain,
    ( ~ spl77_111
    | ~ spl77_112 ),
    inference(avatar_split_clause,[],[f612,f1377,f1373]) ).

fof(f612,plain,
    ( op(e4,e4) != unit
    | ~ sP68 ),
    inference(definition_unfolding,[],[f206,f568]) ).

fof(f206,plain,
    ( e0 != op(e4,e4)
    | ~ sP68 ),
    inference(cnf_transformation,[],[f93]) ).

fof(f1371,plain,
    ( ~ spl77_110
    | ~ spl77_12 ),
    inference(avatar_split_clause,[],[f509,f878,f1368]) ).

fof(f509,plain,
    ( e2 != op(e1,e1)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ( ( e4 != op(e1,e1)
      & e3 != op(e1,e1)
      & e2 != op(e1,e1)
      & e1 != op(e1,e1)
      & e0 != op(e1,e1) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f14]) ).

fof(f1366,plain,
    ( ~ spl77_109
    | ~ spl77_13 ),
    inference(avatar_split_clause,[],[f505,f883,f1363]) ).

fof(f505,plain,
    ( e3 != op(e1,e2)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ( ( e4 != op(e1,e2)
      & e3 != op(e1,e2)
      & e2 != op(e1,e2)
      & e1 != op(e1,e2)
      & e0 != op(e1,e2) )
    | ~ sP8 ),
    inference(nnf_transformation,[],[f15]) ).

fof(f1361,plain,
    ( ~ spl77_108
    | ~ spl77_14 ),
    inference(avatar_split_clause,[],[f501,f888,f1358]) ).

fof(f501,plain,
    ( e4 != op(e1,e3)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ( ( e4 != op(e1,e3)
      & e3 != op(e1,e3)
      & e2 != op(e1,e3)
      & e1 != op(e1,e3)
      & e0 != op(e1,e3) )
    | ~ sP9 ),
    inference(nnf_transformation,[],[f16]) ).

fof(f1356,plain,
    ( ~ spl77_107
    | ~ spl77_15 ),
    inference(avatar_split_clause,[],[f486,f893,f1353]) ).

fof(f486,plain,
    ( e4 != op(e2,e1)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ( ( e4 != op(e2,e1)
      & e3 != op(e2,e1)
      & e2 != op(e2,e1)
      & e1 != op(e2,e1)
      & e0 != op(e2,e1) )
    | ~ sP12 ),
    inference(nnf_transformation,[],[f19]) ).

fof(f1351,plain,
    ( ~ spl77_106
    | ~ spl77_16 ),
    inference(avatar_split_clause,[],[f478,f898,f1348]) ).

fof(f478,plain,
    ( e1 != op(e2,e2)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ( ( e4 != op(e2,e2)
      & e3 != op(e2,e2)
      & e2 != op(e2,e2)
      & e1 != op(e2,e2)
      & e0 != op(e2,e2) )
    | ~ sP13 ),
    inference(nnf_transformation,[],[f20]) ).

fof(f1345,plain,
    ( ~ spl77_104
    | ~ spl77_105 ),
    inference(avatar_split_clause,[],[f473,f1342,f1338]) ).

fof(f1342,plain,
    ( spl77_105
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_105])]) ).

fof(f473,plain,
    ( e1 != op(e2,e3)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f147]) ).

fof(f1335,plain,
    ( ~ spl77_102
    | ~ spl77_103 ),
    inference(avatar_split_clause,[],[f468,f1332,f1328]) ).

fof(f1332,plain,
    ( spl77_103
  <=> e1 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_103])]) ).

fof(f468,plain,
    ( e1 != op(e2,e4)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f146]) ).

fof(f1325,plain,
    ( ~ spl77_100
    | ~ spl77_101 ),
    inference(avatar_split_clause,[],[f453,f1322,f1318]) ).

fof(f1322,plain,
    ( spl77_101
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_101])]) ).

fof(f453,plain,
    ( e1 != op(e3,e2)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f143]) ).

fof(f1316,plain,
    ( ~ spl77_99
    | ~ spl77_19 ),
    inference(avatar_split_clause,[],[f448,f913,f1313]) ).

fof(f448,plain,
    ( e1 != op(e3,e3)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ( ( e4 != op(e3,e3)
      & e3 != op(e3,e3)
      & e2 != op(e3,e3)
      & e1 != op(e3,e3)
      & e0 != op(e3,e3) )
    | ~ sP19 ),
    inference(nnf_transformation,[],[f26]) ).

fof(f1310,plain,
    ( ~ spl77_97
    | ~ spl77_98 ),
    inference(avatar_split_clause,[],[f443,f1307,f1303]) ).

fof(f1307,plain,
    ( spl77_98
  <=> e1 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_98])]) ).

fof(f443,plain,
    ( e1 != op(e3,e4)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f141]) ).

fof(f1301,plain,
    ( ~ spl77_96
    | ~ spl77_21 ),
    inference(avatar_split_clause,[],[f435,f923,f1298]) ).

fof(f435,plain,
    ( e3 != op(e4,e1)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ( ( e4 != op(e4,e1)
      & e3 != op(e4,e1)
      & e2 != op(e4,e1)
      & e1 != op(e4,e1)
      & e0 != op(e4,e1) )
    | ~ sP22 ),
    inference(nnf_transformation,[],[f29]) ).

fof(f1295,plain,
    ( ~ spl77_94
    | ~ spl77_95 ),
    inference(avatar_split_clause,[],[f428,f1292,f1288]) ).

fof(f1292,plain,
    ( spl77_95
  <=> e1 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_95])]) ).

fof(f428,plain,
    ( e1 != op(e4,e2)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f138]) ).

fof(f1285,plain,
    ( ~ spl77_92
    | ~ spl77_93 ),
    inference(avatar_split_clause,[],[f423,f1282,f1278]) ).

fof(f1282,plain,
    ( spl77_93
  <=> e1 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_93])]) ).

fof(f423,plain,
    ( e1 != op(e4,e3)
    | ~ sP24 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f1276,plain,
    ( ~ spl77_91
    | ~ spl77_23 ),
    inference(avatar_split_clause,[],[f418,f933,f1273]) ).

fof(f418,plain,
    ( e1 != op(e4,e4)
    | ~ sP25 ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ( ( e4 != op(e4,e4)
      & e3 != op(e4,e4)
      & e2 != op(e4,e4)
      & e1 != op(e4,e4)
      & e0 != op(e4,e4) )
    | ~ sP25 ),
    inference(nnf_transformation,[],[f32]) ).

fof(f1270,plain,
    ( ~ spl77_89
    | ~ spl77_90 ),
    inference(avatar_split_clause,[],[f343,f1267,f1263]) ).

fof(f1267,plain,
    ( spl77_90
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_90])]) ).

fof(f343,plain,
    ( e1 != op(e1,e1)
    | ~ sP40 ),
    inference(cnf_transformation,[],[f121]) ).

fof(f1261,plain,
    ( ~ spl77_88
    | ~ spl77_12 ),
    inference(avatar_split_clause,[],[f338,f878,f1258]) ).

fof(f338,plain,
    ( e2 != op(e1,e1)
    | ~ sP41 ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ( ( e2 != op(e1,e4)
      & e2 != op(e1,e3)
      & e2 != op(e1,e2)
      & e2 != op(e1,e1)
      & e2 != op(e1,e0) )
    | ~ sP41 ),
    inference(nnf_transformation,[],[f48]) ).

fof(f1256,plain,
    ( ~ spl77_87
    | ~ spl77_12 ),
    inference(avatar_split_clause,[],[f333,f878,f1253]) ).

fof(f333,plain,
    ( e2 != op(e1,e1)
    | ~ sP42 ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ( ( e2 != op(e4,e1)
      & e2 != op(e3,e1)
      & e2 != op(e2,e1)
      & e2 != op(e1,e1)
      & e2 != op(e0,e1) )
    | ~ sP42 ),
    inference(nnf_transformation,[],[f49]) ).

fof(f1251,plain,
    ( ~ spl77_86
    | ~ spl77_85 ),
    inference(avatar_split_clause,[],[f328,f1242,f1248]) ).

fof(f1242,plain,
    ( spl77_85
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_85])]) ).

fof(f328,plain,
    ( e3 != op(e1,e1)
    | ~ sP43 ),
    inference(cnf_transformation,[],[f118]) ).

fof(f1245,plain,
    ( ~ spl77_84
    | ~ spl77_85 ),
    inference(avatar_split_clause,[],[f323,f1242,f1238]) ).

fof(f323,plain,
    ( e3 != op(e1,e1)
    | ~ sP44 ),
    inference(cnf_transformation,[],[f117]) ).

fof(f1236,plain,
    ( ~ spl77_83
    | ~ spl77_82 ),
    inference(avatar_split_clause,[],[f318,f1227,f1233]) ).

fof(f1227,plain,
    ( spl77_82
  <=> e4 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_82])]) ).

fof(f318,plain,
    ( e4 != op(e1,e1)
    | ~ sP45 ),
    inference(cnf_transformation,[],[f116]) ).

fof(f1230,plain,
    ( ~ spl77_81
    | ~ spl77_82 ),
    inference(avatar_split_clause,[],[f313,f1227,f1223]) ).

fof(f313,plain,
    ( e4 != op(e1,e1)
    | ~ sP46 ),
    inference(cnf_transformation,[],[f115]) ).

fof(f1220,plain,
    ( ~ spl77_79
    | ~ spl77_80 ),
    inference(avatar_split_clause,[],[f298,f1217,f1213]) ).

fof(f1217,plain,
    ( spl77_80
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_80])]) ).

fof(f298,plain,
    ( e1 != op(e2,e1)
    | ~ sP49 ),
    inference(cnf_transformation,[],[f112]) ).

fof(f1210,plain,
    ( ~ spl77_77
    | ~ spl77_78 ),
    inference(avatar_split_clause,[],[f293,f1207,f1203]) ).

fof(f293,plain,
    ( e1 != op(e1,e2)
    | ~ sP50 ),
    inference(cnf_transformation,[],[f111]) ).

fof(f1200,plain,
    ( ~ spl77_75
    | ~ spl77_76 ),
    inference(avatar_split_clause,[],[f288,f1197,f1193]) ).

fof(f1197,plain,
    ( spl77_76
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_76])]) ).

fof(f288,plain,
    ( e2 != op(e2,e1)
    | ~ sP51 ),
    inference(cnf_transformation,[],[f110]) ).

fof(f1190,plain,
    ( ~ spl77_73
    | ~ spl77_74 ),
    inference(avatar_split_clause,[],[f283,f1187,f1183]) ).

fof(f1187,plain,
    ( spl77_74
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_74])]) ).

fof(f283,plain,
    ( e2 != op(e1,e2)
    | ~ sP52 ),
    inference(cnf_transformation,[],[f109]) ).

fof(f1180,plain,
    ( ~ spl77_71
    | ~ spl77_72 ),
    inference(avatar_split_clause,[],[f278,f1177,f1173]) ).

fof(f1177,plain,
    ( spl77_72
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_72])]) ).

fof(f278,plain,
    ( e3 != op(e2,e1)
    | ~ sP53 ),
    inference(cnf_transformation,[],[f108]) ).

fof(f1171,plain,
    ( ~ spl77_70
    | ~ spl77_13 ),
    inference(avatar_split_clause,[],[f273,f883,f1168]) ).

fof(f273,plain,
    ( e3 != op(e1,e2)
    | ~ sP54 ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ( ( e3 != op(e4,e2)
      & e3 != op(e3,e2)
      & e3 != op(e2,e2)
      & e3 != op(e1,e2)
      & e3 != op(e0,e2) )
    | ~ sP54 ),
    inference(nnf_transformation,[],[f61]) ).

fof(f1166,plain,
    ( ~ spl77_69
    | ~ spl77_15 ),
    inference(avatar_split_clause,[],[f268,f893,f1163]) ).

fof(f268,plain,
    ( e4 != op(e2,e1)
    | ~ sP55 ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ( ( e4 != op(e2,e4)
      & e4 != op(e2,e3)
      & e4 != op(e2,e2)
      & e4 != op(e2,e1)
      & e4 != op(e2,e0) )
    | ~ sP55 ),
    inference(nnf_transformation,[],[f62]) ).

fof(f1160,plain,
    ( ~ spl77_67
    | ~ spl77_68 ),
    inference(avatar_split_clause,[],[f263,f1157,f1153]) ).

fof(f1157,plain,
    ( spl77_68
  <=> e4 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_68])]) ).

fof(f263,plain,
    ( e4 != op(e1,e2)
    | ~ sP56 ),
    inference(cnf_transformation,[],[f105]) ).

fof(f1150,plain,
    ( ~ spl77_65
    | ~ spl77_66 ),
    inference(avatar_split_clause,[],[f248,f1147,f1143]) ).

fof(f1147,plain,
    ( spl77_66
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_66])]) ).

fof(f248,plain,
    ( e1 != op(e3,e1)
    | ~ sP59 ),
    inference(cnf_transformation,[],[f102]) ).

fof(f1140,plain,
    ( ~ spl77_63
    | ~ spl77_64 ),
    inference(avatar_split_clause,[],[f243,f1137,f1133]) ).

fof(f1137,plain,
    ( spl77_64
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_64])]) ).

fof(f243,plain,
    ( e1 != op(e1,e3)
    | ~ sP60 ),
    inference(cnf_transformation,[],[f101]) ).

fof(f1130,plain,
    ( ~ spl77_61
    | ~ spl77_62 ),
    inference(avatar_split_clause,[],[f238,f1127,f1123]) ).

fof(f1127,plain,
    ( spl77_62
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_62])]) ).

fof(f238,plain,
    ( e2 != op(e3,e1)
    | ~ sP61 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f1120,plain,
    ( ~ spl77_59
    | ~ spl77_60 ),
    inference(avatar_split_clause,[],[f233,f1117,f1113]) ).

fof(f1117,plain,
    ( spl77_60
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_60])]) ).

fof(f233,plain,
    ( e2 != op(e1,e3)
    | ~ sP62 ),
    inference(cnf_transformation,[],[f99]) ).

fof(f1110,plain,
    ( ~ spl77_57
    | ~ spl77_58 ),
    inference(avatar_split_clause,[],[f228,f1107,f1103]) ).

fof(f1107,plain,
    ( spl77_58
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_58])]) ).

fof(f228,plain,
    ( e3 != op(e3,e1)
    | ~ sP63 ),
    inference(cnf_transformation,[],[f98]) ).

fof(f1100,plain,
    ( ~ spl77_55
    | ~ spl77_56 ),
    inference(avatar_split_clause,[],[f223,f1097,f1093]) ).

fof(f1097,plain,
    ( spl77_56
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_56])]) ).

fof(f223,plain,
    ( e3 != op(e1,e3)
    | ~ sP64 ),
    inference(cnf_transformation,[],[f97]) ).

fof(f1090,plain,
    ( ~ spl77_53
    | ~ spl77_54 ),
    inference(avatar_split_clause,[],[f218,f1087,f1083]) ).

fof(f1087,plain,
    ( spl77_54
  <=> e4 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_54])]) ).

fof(f218,plain,
    ( e4 != op(e3,e1)
    | ~ sP65 ),
    inference(cnf_transformation,[],[f96]) ).

fof(f1081,plain,
    ( ~ spl77_52
    | ~ spl77_14 ),
    inference(avatar_split_clause,[],[f213,f888,f1078]) ).

fof(f213,plain,
    ( e4 != op(e1,e3)
    | ~ sP66 ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ( ( e4 != op(e4,e3)
      & e4 != op(e3,e3)
      & e4 != op(e2,e3)
      & e4 != op(e1,e3)
      & e4 != op(e0,e3) )
    | ~ sP66 ),
    inference(nnf_transformation,[],[f73]) ).

fof(f1075,plain,
    ( ~ spl77_50
    | ~ spl77_51 ),
    inference(avatar_split_clause,[],[f198,f1072,f1068]) ).

fof(f1072,plain,
    ( spl77_51
  <=> e1 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_51])]) ).

fof(f198,plain,
    ( e1 != op(e4,e1)
    | ~ sP69 ),
    inference(cnf_transformation,[],[f92]) ).

fof(f1065,plain,
    ( ~ spl77_48
    | ~ spl77_49 ),
    inference(avatar_split_clause,[],[f193,f1062,f1058]) ).

fof(f1062,plain,
    ( spl77_49
  <=> e1 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_49])]) ).

fof(f193,plain,
    ( e1 != op(e1,e4)
    | ~ sP70 ),
    inference(cnf_transformation,[],[f91]) ).

fof(f1055,plain,
    ( ~ spl77_46
    | ~ spl77_47 ),
    inference(avatar_split_clause,[],[f188,f1052,f1048]) ).

fof(f1052,plain,
    ( spl77_47
  <=> e2 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_47])]) ).

fof(f188,plain,
    ( e2 != op(e4,e1)
    | ~ sP71 ),
    inference(cnf_transformation,[],[f90]) ).

fof(f1045,plain,
    ( ~ spl77_44
    | ~ spl77_45 ),
    inference(avatar_split_clause,[],[f183,f1042,f1038]) ).

fof(f1042,plain,
    ( spl77_45
  <=> e2 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_45])]) ).

fof(f183,plain,
    ( e2 != op(e1,e4)
    | ~ sP72 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f1036,plain,
    ( ~ spl77_43
    | ~ spl77_21 ),
    inference(avatar_split_clause,[],[f178,f923,f1033]) ).

fof(f178,plain,
    ( e3 != op(e4,e1)
    | ~ sP73 ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ( ( e3 != op(e4,e4)
      & e3 != op(e4,e3)
      & e3 != op(e4,e2)
      & e3 != op(e4,e1)
      & e3 != op(e4,e0) )
    | ~ sP73 ),
    inference(nnf_transformation,[],[f80]) ).

fof(f1030,plain,
    ( ~ spl77_41
    | ~ spl77_42 ),
    inference(avatar_split_clause,[],[f173,f1027,f1023]) ).

fof(f1027,plain,
    ( spl77_42
  <=> e3 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_42])]) ).

fof(f173,plain,
    ( e3 != op(e1,e4)
    | ~ sP74 ),
    inference(cnf_transformation,[],[f87]) ).

fof(f1020,plain,
    ( ~ spl77_39
    | ~ spl77_40 ),
    inference(avatar_split_clause,[],[f168,f1017,f1013]) ).

fof(f1017,plain,
    ( spl77_40
  <=> e4 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_40])]) ).

fof(f168,plain,
    ( e4 != op(e4,e1)
    | ~ sP75 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f1010,plain,
    ( ~ spl77_37
    | ~ spl77_38 ),
    inference(avatar_split_clause,[],[f163,f1007,f1003]) ).

fof(f1007,plain,
    ( spl77_38
  <=> e4 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_38])]) ).

fof(f163,plain,
    ( e4 != op(e1,e4)
    | ~ sP76 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f1001,plain,
    spl77_36,
    inference(avatar_split_clause,[],[f814,f998]) ).

fof(f814,plain,
    unit = op(unit,unit),
    inference(definition_unfolding,[],[f579,f568,f568,f568]) ).

fof(f579,plain,
    e0 = op(e0,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( e1 = op(e4,e4)
    & e2 = op(e4,e3)
    & e0 = op(e4,e2)
    & e3 = op(e4,e1)
    & e4 = op(e4,e0)
    & e2 = op(e3,e4)
    & e1 = op(e3,e3)
    & e4 = op(e3,e2)
    & e0 = op(e3,e1)
    & e3 = op(e3,e0)
    & e3 = op(e2,e4)
    & e0 = op(e2,e3)
    & e1 = op(e2,e2)
    & e4 = op(e2,e1)
    & e2 = op(e2,e0)
    & e0 = op(e1,e4)
    & e4 = op(e1,e3)
    & e3 = op(e1,e2)
    & e2 = 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(f996,plain,
    spl77_35,
    inference(avatar_split_clause,[],[f813,f993]) ).

fof(f813,plain,
    e1 = op(unit,e1),
    inference(definition_unfolding,[],[f580,f568]) ).

fof(f580,plain,
    e1 = op(e0,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f991,plain,
    spl77_34,
    inference(avatar_split_clause,[],[f812,f988]) ).

fof(f812,plain,
    e2 = op(unit,e2),
    inference(definition_unfolding,[],[f581,f568]) ).

fof(f581,plain,
    e2 = op(e0,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f986,plain,
    spl77_33,
    inference(avatar_split_clause,[],[f811,f983]) ).

fof(f811,plain,
    e3 = op(unit,e3),
    inference(definition_unfolding,[],[f582,f568]) ).

fof(f582,plain,
    e3 = op(e0,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f981,plain,
    spl77_32,
    inference(avatar_split_clause,[],[f810,f978]) ).

fof(f810,plain,
    e4 = op(unit,e4),
    inference(definition_unfolding,[],[f583,f568]) ).

fof(f583,plain,
    e4 = op(e0,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f976,plain,
    spl77_31,
    inference(avatar_split_clause,[],[f809,f973]) ).

fof(f809,plain,
    e1 = op(e1,unit),
    inference(definition_unfolding,[],[f584,f568]) ).

fof(f584,plain,
    e1 = op(e1,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f971,plain,
    spl77_30,
    inference(avatar_split_clause,[],[f808,f968]) ).

fof(f808,plain,
    op(e1,e4) = unit,
    inference(definition_unfolding,[],[f588,f568]) ).

fof(f588,plain,
    e0 = op(e1,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f966,plain,
    spl77_29,
    inference(avatar_split_clause,[],[f807,f963]) ).

fof(f807,plain,
    e2 = op(e2,unit),
    inference(definition_unfolding,[],[f589,f568]) ).

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

fof(f961,plain,
    spl77_28,
    inference(avatar_split_clause,[],[f806,f958]) ).

fof(f806,plain,
    op(e2,e3) = unit,
    inference(definition_unfolding,[],[f592,f568]) ).

fof(f592,plain,
    e0 = op(e2,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f956,plain,
    spl77_27,
    inference(avatar_split_clause,[],[f805,f953]) ).

fof(f805,plain,
    e3 = op(e3,unit),
    inference(definition_unfolding,[],[f594,f568]) ).

fof(f594,plain,
    e3 = op(e3,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f951,plain,
    spl77_26,
    inference(avatar_split_clause,[],[f804,f948]) ).

fof(f804,plain,
    op(e3,e1) = unit,
    inference(definition_unfolding,[],[f595,f568]) ).

fof(f595,plain,
    e0 = op(e3,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f946,plain,
    spl77_25,
    inference(avatar_split_clause,[],[f803,f943]) ).

fof(f803,plain,
    e4 = op(e4,unit),
    inference(definition_unfolding,[],[f599,f568]) ).

fof(f599,plain,
    e4 = op(e4,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f941,plain,
    spl77_24,
    inference(avatar_split_clause,[],[f802,f938]) ).

fof(f802,plain,
    op(e4,e2) = unit,
    inference(definition_unfolding,[],[f601,f568]) ).

fof(f601,plain,
    e0 = op(e4,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f936,plain,
    spl77_23,
    inference(avatar_split_clause,[],[f603,f933]) ).

fof(f603,plain,
    e1 = op(e4,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f931,plain,
    spl77_22,
    inference(avatar_split_clause,[],[f602,f928]) ).

fof(f602,plain,
    e2 = op(e4,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f926,plain,
    spl77_21,
    inference(avatar_split_clause,[],[f600,f923]) ).

fof(f600,plain,
    e3 = op(e4,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f921,plain,
    spl77_20,
    inference(avatar_split_clause,[],[f598,f918]) ).

fof(f598,plain,
    e2 = op(e3,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f916,plain,
    spl77_19,
    inference(avatar_split_clause,[],[f597,f913]) ).

fof(f597,plain,
    e1 = op(e3,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f911,plain,
    spl77_18,
    inference(avatar_split_clause,[],[f596,f908]) ).

fof(f596,plain,
    e4 = op(e3,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f906,plain,
    spl77_17,
    inference(avatar_split_clause,[],[f593,f903]) ).

fof(f593,plain,
    e3 = op(e2,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f901,plain,
    spl77_16,
    inference(avatar_split_clause,[],[f591,f898]) ).

fof(f591,plain,
    e1 = op(e2,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f896,plain,
    spl77_15,
    inference(avatar_split_clause,[],[f590,f893]) ).

fof(f590,plain,
    e4 = op(e2,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f891,plain,
    spl77_14,
    inference(avatar_split_clause,[],[f587,f888]) ).

fof(f587,plain,
    e4 = op(e1,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f886,plain,
    spl77_13,
    inference(avatar_split_clause,[],[f586,f883]) ).

fof(f586,plain,
    e3 = op(e1,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f881,plain,
    spl77_12,
    inference(avatar_split_clause,[],[f585,f878]) ).

fof(f585,plain,
    e2 = op(e1,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f876,plain,
    ~ spl77_11,
    inference(avatar_split_clause,[],[f801,f873]) ).

fof(f873,plain,
    ( spl77_11
  <=> e1 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_11])]) ).

fof(f801,plain,
    e1 != unit,
    inference(definition_unfolding,[],[f569,f568]) ).

fof(f569,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(f871,plain,
    ~ spl77_10,
    inference(avatar_split_clause,[],[f800,f868]) ).

fof(f868,plain,
    ( spl77_10
  <=> e2 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_10])]) ).

fof(f800,plain,
    e2 != unit,
    inference(definition_unfolding,[],[f570,f568]) ).

fof(f570,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f1]) ).

fof(f866,plain,
    ~ spl77_9,
    inference(avatar_split_clause,[],[f799,f863]) ).

fof(f863,plain,
    ( spl77_9
  <=> e3 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_9])]) ).

fof(f799,plain,
    e3 != unit,
    inference(definition_unfolding,[],[f571,f568]) ).

fof(f571,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f1]) ).

fof(f861,plain,
    ~ spl77_8,
    inference(avatar_split_clause,[],[f798,f858]) ).

fof(f858,plain,
    ( spl77_8
  <=> e4 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_8])]) ).

fof(f798,plain,
    e4 != unit,
    inference(definition_unfolding,[],[f572,f568]) ).

fof(f572,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f1]) ).

fof(f856,plain,
    ~ spl77_7,
    inference(avatar_split_clause,[],[f578,f853]) ).

fof(f853,plain,
    ( spl77_7
  <=> e3 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_7])]) ).

fof(f578,plain,
    e3 != e4,
    inference(cnf_transformation,[],[f1]) ).

fof(f851,plain,
    ~ spl77_6,
    inference(avatar_split_clause,[],[f577,f848]) ).

fof(f577,plain,
    e2 != e4,
    inference(cnf_transformation,[],[f1]) ).

fof(f846,plain,
    ~ spl77_5,
    inference(avatar_split_clause,[],[f576,f843]) ).

fof(f843,plain,
    ( spl77_5
  <=> e2 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_5])]) ).

fof(f576,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f1]) ).

fof(f841,plain,
    ~ spl77_4,
    inference(avatar_split_clause,[],[f575,f838]) ).

fof(f838,plain,
    ( spl77_4
  <=> e1 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_4])]) ).

fof(f575,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f1]) ).

fof(f836,plain,
    ~ spl77_3,
    inference(avatar_split_clause,[],[f574,f833]) ).

fof(f833,plain,
    ( spl77_3
  <=> e1 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_3])]) ).

fof(f574,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f1]) ).

fof(f831,plain,
    ~ spl77_2,
    inference(avatar_split_clause,[],[f573,f828]) ).

fof(f828,plain,
    ( spl77_2
  <=> e1 = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl77_2])]) ).

fof(f573,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f1]) ).

fof(f826,plain,
    ~ spl77_1,
    inference(avatar_split_clause,[],[f821,f823]) ).

fof(f821,plain,
    ~ sP26,
    inference(trivial_inequality_removal,[],[f726]) ).

fof(f726,plain,
    ( unit != unit
    | ~ sP26 ),
    inference(definition_unfolding,[],[f412,f568]) ).

fof(f412,plain,
    ( e0 != unit
    | ~ sP26 ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ( ( e4 != unit
      & e3 != unit
      & e2 != unit
      & e1 != unit
      & e0 != unit )
    | ~ sP26 ),
    inference(nnf_transformation,[],[f33]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : ALG094+1 : TPTP v8.1.2. Released v2.7.0.
% 0.10/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri May  3 19:56:52 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  % (1806)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36  % (1809)WARNING: value z3 for option sas not known
% 0.12/0.36  % (1812)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)
% 0.12/0.36  % (1813)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)
% 0.12/0.36  % (1809)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)
% 0.12/0.36  % (1810)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36  % (1808)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36  % (1811)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)
% 0.12/0.37  % (1807)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.39  % (1811)First to succeed.
% 0.12/0.39  % (1809)Also succeeded, but the first one will report.
% 0.12/0.39  % (1812)Also succeeded, but the first one will report.
% 0.12/0.40  % (1813)Also succeeded, but the first one will report.
% 0.12/0.40  % (1811)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1806"
% 0.12/0.40  % (1811)Refutation found. Thanks to Tanya!
% 0.12/0.40  % SZS status Theorem for theBenchmark
% 0.12/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.41  % (1811)------------------------------
% 0.12/0.41  % (1811)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.41  % (1811)Termination reason: Refutation
% 0.12/0.41  
% 0.12/0.41  % (1811)Memory used [KB]: 1416
% 0.12/0.41  % (1811)Time elapsed: 0.036 s
% 0.12/0.41  % (1811)Instructions burned: 75 (million)
% 0.12/0.41  % (1806)Success in time 0.061 s
%------------------------------------------------------------------------------