%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG095+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 15:42:34 EDT 2022

% Result   : Theorem 1.21s 0.60s
% Output   : Refutation 1.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  182
% Syntax   : Number of formulae    :  553 (  93 unt;   0 def)
%            Number of atoms       : 3625 (2574 equ)
%            Maximal formula atoms :  465 (   6 avg)
%            Number of connectives : 5022 (1950   ~;1685   |;1285   &)
%                                         ( 102 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  112 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :  180 ( 178 usr; 179 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2360,plain,
    $false,
    inference(avatar_sat_refutation,[],[f838,f879,f924,f942,f1252,f1253,f1299,f1300,f1365,f1388,f1430,f1446,f1447,f1464,f1477,f1479,f1495,f1513,f1521,f1527,f1569,f1589,f1600,f1607,f1608,f1623,f1631,f1679,f1680,f1688,f1695,f1702,f1704,f1705,f1710,f1727,f1739,f1768,f1769,f1791,f1803,f1810,f1813,f1842,f1848,f1849,f1875,f1880,f1891,f1894,f1914,f1916,f1921,f1932,f1938,f1954,f1961,f1968,f1969,f1970,f1988,f1994,f2020,f2037,f2039,f2042,f2043,f2081,f2084,f2088,f2090,f2095,f2105,f2108,f2112,f2113,f2139,f2142,f2151,f2157,f2159,f2181,f2182,f2188,f2189,f2190,f2203,f2206,f2213,f2215,f2217,f2220,f2224,f2231,f2243,f2247,f2249,f2252,f2253,f2254,f2268,f2321,f2356]) ).

fof(f2356,plain,
    ( ~ spl76_4
    | spl76_198
    | ~ spl76_211 ),
    inference(avatar_contradiction_clause,[],[f2355]) ).

fof(f2355,plain,
    ( $false
    | ~ spl76_4
    | spl76_198
    | ~ spl76_211 ),
    inference(subsumption_resolution,[],[f2354,f1808]) ).

fof(f1808,plain,
    ( e2 != e3
    | spl76_198 ),
    inference(avatar_component_clause,[],[f1806]) ).

fof(f1806,plain,
    ( spl76_198
  <=> e2 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_198])]) ).

fof(f2354,plain,
    ( e2 = e3
    | ~ spl76_4
    | ~ spl76_211 ),
    inference(forward_demodulation,[],[f2353,f173]) ).

fof(f173,plain,
    e3 = op(e4,e1),
    inference(cnf_transformation,[],[f2]) ).

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

fof(f2353,plain,
    ( e2 = op(e4,e1)
    | ~ spl76_4
    | ~ spl76_211 ),
    inference(forward_demodulation,[],[f1927,f836]) ).

fof(f836,plain,
    ( e4 = op(e1,e2)
    | ~ spl76_4 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f835,plain,
    ( spl76_4
  <=> e4 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_4])]) ).

fof(f1927,plain,
    ( e2 = op(op(e1,e2),e1)
    | ~ spl76_211 ),
    inference(avatar_component_clause,[],[f1925]) ).

fof(f1925,plain,
    ( spl76_211
  <=> e2 = op(op(e1,e2),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_211])]) ).

fof(f2321,plain,
    ( ~ spl76_4
    | spl76_104
    | ~ spl76_152
    | ~ spl76_194 ),
    inference(avatar_contradiction_clause,[],[f2320]) ).

fof(f2320,plain,
    ( $false
    | ~ spl76_4
    | spl76_104
    | ~ spl76_152
    | ~ spl76_194 ),
    inference(subsumption_resolution,[],[f2319,f1257]) ).

fof(f1257,plain,
    ( e4 != unit
    | spl76_104 ),
    inference(avatar_component_clause,[],[f1255]) ).

fof(f1255,plain,
    ( spl76_104
  <=> e4 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_104])]) ).

fof(f2319,plain,
    ( e4 = unit
    | ~ spl76_4
    | ~ spl76_152
    | ~ spl76_194 ),
    inference(forward_demodulation,[],[f2318,f836]) ).

fof(f2318,plain,
    ( op(e1,e2) = unit
    | ~ spl76_152
    | ~ spl76_194 ),
    inference(forward_demodulation,[],[f1780,f1511]) ).

fof(f1511,plain,
    ( op(e2,e1) = unit
    | ~ spl76_152 ),
    inference(avatar_component_clause,[],[f1510]) ).

fof(f1510,plain,
    ( spl76_152
  <=> op(e2,e1) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_152])]) ).

fof(f1780,plain,
    ( op(e1,e2) = op(e2,e1)
    | ~ spl76_194 ),
    inference(avatar_component_clause,[],[f1778]) ).

fof(f1778,plain,
    ( spl76_194
  <=> op(e1,e2) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_194])]) ).

fof(f2268,plain,
    ( ~ spl76_4
    | spl76_212 ),
    inference(avatar_contradiction_clause,[],[f2267]) ).

fof(f2267,plain,
    ( $false
    | ~ spl76_4
    | spl76_212 ),
    inference(subsumption_resolution,[],[f2266,f178]) ).

fof(f178,plain,
    e1 = op(e4,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2266,plain,
    ( e1 != op(e4,e2)
    | ~ spl76_4
    | spl76_212 ),
    inference(forward_demodulation,[],[f1931,f836]) ).

fof(f1931,plain,
    ( e1 != op(op(e1,e2),e2)
    | spl76_212 ),
    inference(avatar_component_clause,[],[f1929]) ).

fof(f1929,plain,
    ( spl76_212
  <=> e1 = op(op(e1,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_212])]) ).

fof(f2254,plain,
    spl76_81,
    inference(avatar_split_clause,[],[f604,f1158]) ).

fof(f1158,plain,
    ( spl76_81
  <=> unit = op(unit,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_81])]) ).

fof(f604,plain,
    unit = op(unit,unit),
    inference(definition_unfolding,[],[f179,f185,f185,f185]) ).

fof(f185,plain,
    e0 = unit,
    inference(cnf_transformation,[],[f3]) ).

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

fof(f179,plain,
    e0 = op(e0,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2253,plain,
    ( ~ spl76_83
    | ~ spl76_68 ),
    inference(avatar_split_clause,[],[f743,f1106,f1166]) ).

fof(f1166,plain,
    ( spl76_83
  <=> e1 = op(e1,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_83])]) ).

fof(f1106,plain,
    ( spl76_68
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_68])]) ).

fof(f743,plain,
    ( ~ sP23
    | e1 != op(e1,unit) ),
    inference(definition_unfolding,[],[f459,f185]) ).

fof(f459,plain,
    ( e1 != op(e1,e0)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ( ( e4 != op(e1,e0)
      & e1 != op(e1,e0)
      & e0 != op(e1,e0)
      & e3 != op(e1,e0)
      & e2 != op(e1,e0) )
    | ~ sP23 ),
    inference(nnf_transformation,[],[f30]) ).

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

fof(f2252,plain,
    ( ~ spl76_64
    | ~ spl76_91 ),
    inference(avatar_split_clause,[],[f770,f1198,f1090]) ).

fof(f1090,plain,
    ( spl76_64
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_64])]) ).

fof(f1198,plain,
    ( spl76_91
  <=> e1 = op(unit,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_91])]) ).

fof(f770,plain,
    ( e1 != op(unit,e1)
    | ~ sP10 ),
    inference(definition_unfolding,[],[f522,f185]) ).

fof(f522,plain,
    ( e1 != op(e0,e1)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ( ( e0 != op(e0,e1)
      & e3 != op(e0,e1)
      & e4 != op(e0,e1)
      & e1 != op(e0,e1)
      & e2 != op(e0,e1) )
    | ~ sP10 ),
    inference(nnf_transformation,[],[f17]) ).

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

fof(f2249,plain,
    ~ spl76_53,
    inference(avatar_split_clause,[],[f2248,f1046]) ).

fof(f1046,plain,
    ( spl76_53
  <=> sP63 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_53])]) ).

fof(f2248,plain,
    ~ sP63,
    inference(subsumption_resolution,[],[f641,f606]) ).

fof(f606,plain,
    op(e1,e3) = unit,
    inference(definition_unfolding,[],[f174,f185]) ).

fof(f174,plain,
    e0 = op(e1,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f641,plain,
    ( op(e1,e3) != unit
    | ~ sP63 ),
    inference(definition_unfolding,[],[f257,f185]) ).

fof(f257,plain,
    ( e0 != op(e1,e3)
    | ~ sP63 ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ( ( e0 != op(e1,e1)
      & e0 != op(e1,e0)
      & e0 != op(e1,e4)
      & e0 != op(e1,e3)
      & e0 != op(e1,e2) )
    | ~ sP63 ),
    inference(nnf_transformation,[],[f70]) ).

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

fof(f2247,plain,
    ( ~ spl76_20
    | ~ spl76_185 ),
    inference(avatar_split_clause,[],[f208,f1723,f908]) ).

fof(f908,plain,
    ( spl76_20
  <=> sP73 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_20])]) ).

fof(f1723,plain,
    ( spl76_185
  <=> e3 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_185])]) ).

fof(f208,plain,
    ( e3 != op(e1,e4)
    | ~ sP73 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ( ( e3 != op(e4,e4)
      & e3 != op(e2,e4)
      & e3 != op(e1,e4)
      & e3 != op(e0,e4)
      & e3 != op(e3,e4) )
    | ~ sP73 ),
    inference(nnf_transformation,[],[f80]) ).

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

fof(f2243,plain,
    spl76_185,
    inference(avatar_split_clause,[],[f163,f1723]) ).

fof(f163,plain,
    e3 = op(e1,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2231,plain,
    ( ~ spl76_149
    | ~ spl76_97 ),
    inference(avatar_split_clause,[],[f198,f1222,f1492]) ).

fof(f1492,plain,
    ( spl76_149
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_149])]) ).

fof(f1222,plain,
    ( spl76_97
  <=> sP75 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_97])]) ).

fof(f198,plain,
    ( ~ sP75
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ( ( e3 != op(e1,e2)
      & e3 != op(e0,e2)
      & e3 != op(e2,e2)
      & e3 != op(e3,e2)
      & e3 != op(e4,e2) )
    | ~ sP75 ),
    inference(nnf_transformation,[],[f82]) ).

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

fof(f2224,plain,
    spl76_215,
    inference(avatar_split_clause,[],[f161,f1965]) ).

fof(f1965,plain,
    ( spl76_215
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_215])]) ).

fof(f161,plain,
    e1 = op(e3,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2220,plain,
    ( ~ spl76_45
    | ~ spl76_10 ),
    inference(avatar_split_clause,[],[f630,f863,f1014]) ).

fof(f1014,plain,
    ( spl76_45
  <=> e3 = op(unit,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_45])]) ).

fof(f863,plain,
    ( spl76_10
  <=> sP69 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_10])]) ).

fof(f630,plain,
    ( ~ sP69
    | e3 != op(unit,e3) ),
    inference(definition_unfolding,[],[f228,f185]) ).

fof(f228,plain,
    ( e3 != op(e0,e3)
    | ~ sP69 ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ( ( e3 != op(e0,e0)
      & e3 != op(e0,e1)
      & e3 != op(e0,e3)
      & e3 != op(e0,e4)
      & e3 != op(e0,e2) )
    | ~ sP69 ),
    inference(nnf_transformation,[],[f76]) ).

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

fof(f2217,plain,
    ( ~ spl76_215
    | ~ spl76_87 ),
    inference(avatar_split_clause,[],[f321,f1182,f1965]) ).

fof(f1182,plain,
    ( spl76_87
  <=> sP50 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_87])]) ).

fof(f321,plain,
    ( ~ sP50
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ( ( e1 != op(e4,e3)
      & e1 != op(e0,e3)
      & e1 != op(e2,e3)
      & e1 != op(e1,e3)
      & e1 != op(e3,e3) )
    | ~ sP50 ),
    inference(nnf_transformation,[],[f57]) ).

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

fof(f2215,plain,
    spl76_4,
    inference(avatar_split_clause,[],[f162,f835]) ).

fof(f162,plain,
    e4 = op(e1,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2213,plain,
    ( ~ spl76_63
    | ~ spl76_27 ),
    inference(avatar_split_clause,[],[f792,f939,f1086]) ).

fof(f1086,plain,
    ( spl76_63
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_63])]) ).

fof(f939,plain,
    ( spl76_27
  <=> e2 = op(unit,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_27])]) ).

fof(f792,plain,
    ( e2 != op(unit,e2)
    | ~ sP5 ),
    inference(definition_unfolding,[],[f549,f185]) ).

fof(f549,plain,
    ( e2 != op(e0,e2)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ( ( e2 != op(e4,e2)
      & e2 != op(e0,e2)
      & e2 != op(e2,e2)
      & e2 != op(e1,e2)
      & e2 != op(e3,e2) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f12]) ).

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

fof(f2206,plain,
    ( ~ spl76_96
    | ~ spl76_75 ),
    inference(avatar_split_clause,[],[f720,f1134,f1218]) ).

fof(f1218,plain,
    ( spl76_96
  <=> e3 = op(e3,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_96])]) ).

fof(f1134,plain,
    ( spl76_75
  <=> sP30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_75])]) ).

fof(f720,plain,
    ( ~ sP30
    | e3 != op(e3,unit) ),
    inference(definition_unfolding,[],[f424,f185]) ).

fof(f424,plain,
    ( e3 != op(e3,e0)
    | ~ sP30 ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ( ( e4 != op(e3,e0)
      & e3 != op(e3,e0)
      & e0 != op(e3,e0)
      & e2 != op(e3,e0)
      & e1 != op(e3,e0) )
    | ~ sP30 ),
    inference(nnf_transformation,[],[f37]) ).

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

fof(f2203,plain,
    ( ~ spl76_185
    | ~ spl76_90 ),
    inference(avatar_split_clause,[],[f564,f1194,f1723]) ).

fof(f1194,plain,
    ( spl76_90
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_90])]) ).

fof(f564,plain,
    ( ~ sP2
    | e3 != op(e1,e4) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ( ( e1 != op(e1,e4)
      & e3 != op(e1,e4)
      & e0 != op(e1,e4)
      & e4 != op(e1,e4)
      & e2 != op(e1,e4) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f9]) ).

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

fof(f2190,plain,
    ( ~ spl76_182
    | ~ spl76_41 ),
    inference(avatar_split_clause,[],[f340,f998,f1707]) ).

fof(f1707,plain,
    ( spl76_182
  <=> e1 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_182])]) ).

fof(f998,plain,
    ( spl76_41
  <=> sP47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_41])]) ).

fof(f340,plain,
    ( ~ sP47
    | e1 != op(e2,e4) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ( ( e1 != op(e2,e4)
      & e1 != op(e3,e4)
      & e1 != op(e4,e4)
      & e1 != op(e1,e4)
      & e1 != op(e0,e4) )
    | ~ sP47 ),
    inference(nnf_transformation,[],[f54]) ).

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

fof(f2189,plain,
    ( ~ spl76_36
    | ~ spl76_96 ),
    inference(avatar_split_clause,[],[f690,f1218,f978]) ).

fof(f978,plain,
    ( spl76_36
  <=> sP44 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_36])]) ).

fof(f690,plain,
    ( e3 != op(e3,unit)
    | ~ sP44 ),
    inference(definition_unfolding,[],[f354,f185]) ).

fof(f354,plain,
    ( e3 != op(e3,e0)
    | ~ sP44 ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ( ( e3 != op(e2,e0)
      & e3 != op(e3,e0)
      & e3 != op(e1,e0)
      & e3 != op(e4,e0)
      & e3 != op(e0,e0) )
    | ~ sP44 ),
    inference(nnf_transformation,[],[f51]) ).

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

fof(f2188,plain,
    spl76_130,
    inference(avatar_split_clause,[],[f172,f1385]) ).

fof(f1385,plain,
    ( spl76_130
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_130])]) ).

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

fof(f2182,plain,
    ( ~ spl76_141
    | ~ spl76_76 ),
    inference(avatar_split_clause,[],[f203,f1138,f1443]) ).

fof(f1443,plain,
    ( spl76_141
  <=> e4 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_141])]) ).

fof(f1138,plain,
    ( spl76_76
  <=> sP74 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_76])]) ).

fof(f203,plain,
    ( ~ sP74
    | e4 != op(e2,e3) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ( ( e4 != op(e3,e3)
      & e4 != op(e4,e3)
      & e4 != op(e2,e3)
      & e4 != op(e0,e3)
      & e4 != op(e1,e3) )
    | ~ sP74 ),
    inference(nnf_transformation,[],[f81]) ).

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

fof(f2181,plain,
    ( spl76_98
    | spl76_53
    | spl76_56
    | spl76_15
    | ~ spl76_81
    | spl76_84
    | spl76_57
    | spl76_46
    | ~ spl76_42
    | spl76_24
    | spl76_76
    | spl76_35
    | spl76_77
    | spl76_62
    | spl76_33
    | spl76_3
    | spl76_61
    | spl76_20
    | spl76_37
    | spl76_48
    | spl76_85
    | ~ spl76_80
    | spl76_40
    | spl76_93
    | spl76_71
    | spl76_86
    | spl76_51
    | spl76_39
    | spl76_90
    | spl76_54
    | spl76_28
    | spl76_65
    | spl76_16
    | spl76_78
    | spl76_70
    | spl76_38
    | spl76_59
    | spl76_55
    | ~ spl76_83
    | spl76_79
    | spl76_41
    | spl76_26
    | spl76_69
    | spl76_2
    | spl76_82
    | spl76_88
    | spl76_32
    | spl76_73
    | spl76_95
    | spl76_74
    | spl76_22
    | spl76_34
    | spl76_58
    | spl76_7
    | spl76_97
    | spl76_49
    | ~ spl76_27
    | spl76_99
    | spl76_72
    | spl76_10
    | spl76_52
    | spl76_18
    | spl76_50
    | spl76_30
    | spl76_47
    | spl76_67
    | spl76_87
    | spl76_100
    | spl76_94
    | spl76_60
    | spl76_44
    | spl76_5
    | ~ spl76_92
    | spl76_43
    | ~ spl76_45
    | spl76_13
    | spl76_75
    | spl76_63
    | ~ spl76_96
    | ~ spl76_91
    | spl76_101
    | spl76_68
    | spl76_64
    | spl76_36
    | spl76_89 ),
    inference(avatar_split_clause,[],[f816,f1190,f978,f1090,f1106,f1238,f1198,f1218,f1086,f1134,f876,f1014,f1006,f1202,f840,f1010,f1074,f1210,f1234,f1182,f1102,f1022,f953,f1034,f899,f1042,f863,f1122,f1230,f939,f1030,f1222,f849,f1066,f970,f917,f1130,f1214,f1126,f962,f1186,f1162,f826,f1110,f935,f998,f1150,f1166,f1054,f1070,f986,f1114,f1146,f890,f1094,f944,f1050,f1194,f990,f1038,f1178,f1118,f1206,f994,f1154,f1174,f1026,f982,f908,f1078,f831,f966,f1082,f1142,f974,f1138,f926,f1002,f1018,f1062,f1170,f1158,f885,f1058,f1046,f1226]) ).

fof(f1226,plain,
    ( spl76_98
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_98])]) ).

fof(f1058,plain,
    ( spl76_56
  <=> sP57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_56])]) ).

fof(f885,plain,
    ( spl76_15
  <=> sP53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_15])]) ).

fof(f1170,plain,
    ( spl76_84
  <=> sP27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_84])]) ).

fof(f1062,plain,
    ( spl76_57
  <=> sP64 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_57])]) ).

fof(f1018,plain,
    ( spl76_46
  <=> sP51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_46])]) ).

fof(f1002,plain,
    ( spl76_42
  <=> e4 = op(e4,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_42])]) ).

fof(f926,plain,
    ( spl76_24
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_24])]) ).

fof(f974,plain,
    ( spl76_35
  <=> sP62 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_35])]) ).

fof(f1142,plain,
    ( spl76_77
  <=> sP20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_77])]) ).

fof(f1082,plain,
    ( spl76_62
  <=> sP60 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_62])]) ).

fof(f966,plain,
    ( spl76_33
  <=> sP70 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_33])]) ).

fof(f831,plain,
    ( spl76_3
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_3])]) ).

fof(f1078,plain,
    ( spl76_61
  <=> sP68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_61])]) ).

fof(f982,plain,
    ( spl76_37
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_37])]) ).

fof(f1026,plain,
    ( spl76_48
  <=> sP24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_48])]) ).

fof(f1174,plain,
    ( spl76_85
  <=> sP43 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_85])]) ).

fof(f1154,plain,
    ( spl76_80
  <=> e4 = op(unit,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_80])]) ).

fof(f994,plain,
    ( spl76_40
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_40])]) ).

fof(f1206,plain,
    ( spl76_93
  <=> sP46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_93])]) ).

fof(f1118,plain,
    ( spl76_71
  <=> sP65 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_71])]) ).

fof(f1178,plain,
    ( spl76_86
  <=> sP59 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_86])]) ).

fof(f1038,plain,
    ( spl76_51
  <=> sP25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_51])]) ).

fof(f990,plain,
    ( spl76_39
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_39])]) ).

fof(f1050,plain,
    ( spl76_54
  <=> sP61 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_54])]) ).

fof(f944,plain,
    ( spl76_28
  <=> sP56 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_28])]) ).

fof(f1094,plain,
    ( spl76_65
  <=> sP58 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_65])]) ).

fof(f890,plain,
    ( spl76_16
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_16])]) ).

fof(f1146,plain,
    ( spl76_78
  <=> sP39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_78])]) ).

fof(f1114,plain,
    ( spl76_70
  <=> sP34 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_70])]) ).

fof(f986,plain,
    ( spl76_38
  <=> sP33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_38])]) ).

fof(f1070,plain,
    ( spl76_59
  <=> sP35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_59])]) ).

fof(f1054,plain,
    ( spl76_55
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_55])]) ).

fof(f1150,plain,
    ( spl76_79
  <=> sP45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_79])]) ).

fof(f935,plain,
    ( spl76_26
  <=> sP36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_26])]) ).

fof(f1110,plain,
    ( spl76_69
  <=> sP42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_69])]) ).

fof(f826,plain,
    ( spl76_2
  <=> sP41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_2])]) ).

fof(f1162,plain,
    ( spl76_82
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_82])]) ).

fof(f1186,plain,
    ( spl76_88
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_88])]) ).

fof(f962,plain,
    ( spl76_32
  <=> sP48 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_32])]) ).

fof(f1126,plain,
    ( spl76_73
  <=> sP49 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_73])]) ).

fof(f1214,plain,
    ( spl76_95
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_95])]) ).

fof(f1130,plain,
    ( spl76_74
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_74])]) ).

fof(f917,plain,
    ( spl76_22
  <=> sP26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_22])]) ).

fof(f970,plain,
    ( spl76_34
  <=> sP31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_34])]) ).

fof(f1066,plain,
    ( spl76_58
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_58])]) ).

fof(f849,plain,
    ( spl76_7
  <=> sP38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_7])]) ).

fof(f1030,plain,
    ( spl76_49
  <=> sP52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_49])]) ).

fof(f1230,plain,
    ( spl76_99
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_99])]) ).

fof(f1122,plain,
    ( spl76_72
  <=> sP21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_72])]) ).

fof(f1042,plain,
    ( spl76_52
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_52])]) ).

fof(f899,plain,
    ( spl76_18
  <=> sP54 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_18])]) ).

fof(f1034,plain,
    ( spl76_50
  <=> sP28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_50])]) ).

fof(f953,plain,
    ( spl76_30
  <=> sP32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_30])]) ).

fof(f1022,plain,
    ( spl76_47
  <=> sP29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_47])]) ).

fof(f1102,plain,
    ( spl76_67
  <=> sP72 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_67])]) ).

fof(f1234,plain,
    ( spl76_100
  <=> sP71 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_100])]) ).

fof(f1210,plain,
    ( spl76_94
  <=> sP67 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_94])]) ).

fof(f1074,plain,
    ( spl76_60
  <=> sP55 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_60])]) ).

fof(f1010,plain,
    ( spl76_44
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_44])]) ).

fof(f840,plain,
    ( spl76_5
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_5])]) ).

fof(f1202,plain,
    ( spl76_92
  <=> e2 = op(e2,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_92])]) ).

fof(f1006,plain,
    ( spl76_43
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_43])]) ).

fof(f876,plain,
    ( spl76_13
  <=> sP40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_13])]) ).

fof(f1238,plain,
    ( spl76_101
  <=> sP37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_101])]) ).

fof(f1190,plain,
    ( spl76_89
  <=> sP66 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_89])]) ).

fof(f816,plain,
    ( sP66
    | sP44
    | sP10
    | sP23
    | sP37
    | e1 != op(unit,e1)
    | e3 != op(e3,unit)
    | sP5
    | sP30
    | sP40
    | e3 != op(unit,e3)
    | sP7
    | e2 != op(e2,unit)
    | sP9
    | sP12
    | sP55
    | sP67
    | sP71
    | sP50
    | sP72
    | sP29
    | sP32
    | sP28
    | sP54
    | sP0
    | sP69
    | sP21
    | sP11
    | e2 != op(unit,e2)
    | sP52
    | sP75
    | sP38
    | sP3
    | sP31
    | sP26
    | sP13
    | sP15
    | sP49
    | sP48
    | sP1
    | sP6
    | sP41
    | sP42
    | sP36
    | sP47
    | sP45
    | e1 != op(e1,unit)
    | sP8
    | sP35
    | sP33
    | sP34
    | sP39
    | sP22
    | sP58
    | sP56
    | sP61
    | sP2
    | sP19
    | sP25
    | sP59
    | sP65
    | sP46
    | sP16
    | e4 != op(unit,e4)
    | sP43
    | sP24
    | sP17
    | sP73
    | sP68
    | sP4
    | sP70
    | sP60
    | sP20
    | sP62
    | sP74
    | sP18
    | e4 != op(e4,unit)
    | sP51
    | sP64
    | sP27
    | unit != op(unit,unit)
    | sP53
    | sP57
    | sP63
    | sP14 ),
    inference(duplicate_literal_removal,[],[f814]) ).

fof(f814,plain,
    ( sP8
    | sP15
    | sP71
    | sP22
    | e1 != op(e1,unit)
    | sP20
    | sP36
    | unit != op(unit,unit)
    | sP30
    | sP10
    | sP46
    | sP60
    | sP14
    | sP41
    | sP31
    | sP65
    | sP26
    | sP35
    | sP27
    | sP70
    | sP17
    | unit != op(unit,unit)
    | sP50
    | sP69
    | sP39
    | sP32
    | sP62
    | sP75
    | sP37
    | e2 != op(e2,unit)
    | sP2
    | sP44
    | sP54
    | sP68
    | sP1
    | sP59
    | e3 != op(unit,e3)
    | sP19
    | sP42
    | e3 != op(e3,unit)
    | sP52
    | sP29
    | sP12
    | sP61
    | sP16
    | sP45
    | sP13
    | sP9
    | sP33
    | sP4
    | sP73
    | sP58
    | sP56
    | sP66
    | sP25
    | sP67
    | sP53
    | e2 != op(unit,e2)
    | e4 != op(unit,e4)
    | sP49
    | e1 != op(unit,e1)
    | sP34
    | sP63
    | sP55
    | sP72
    | sP28
    | sP40
    | sP64
    | sP74
    | sP23
    | sP7
    | sP47
    | sP6
    | sP5
    | sP48
    | sP51
    | sP11
    | sP3
    | sP21
    | sP38
    | e3 != op(unit,e3)
    | e4 != op(e4,unit)
    | sP18
    | sP0
    | sP24
    | sP43
    | sP57 ),
    inference(definition_unfolding,[],[f596,f185,f185,f185,f185,f185]) ).

fof(f596,plain,
    ( e4 != op(e4,unit)
    | e3 != op(e0,e3)
    | e2 != op(unit,e2)
    | sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | e3 != op(unit,e3)
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP0
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | e0 != op(e0,unit)
    | e2 != op(e2,unit)
    | sP51
    | sP50
    | sP49
    | sP48
    | e1 != op(e1,unit)
    | sP47
    | sP46
    | sP45
    | sP44
    | e4 != op(unit,e4)
    | sP43
    | e3 != op(e3,unit)
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | e0 != op(unit,e0)
    | sP34
    | e1 != op(unit,e1)
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ( e4 != op(e4,unit)
    | ( e3 != op(e4,e3)
      & e3 != op(e1,e3)
      & e3 != op(e3,e3)
      & e3 != op(e2,e3)
      & e3 != op(e0,e3) )
    | e2 != op(unit,e2)
    | sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | e3 != op(unit,e3)
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP0
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | e0 != op(e0,unit)
    | e2 != op(e2,unit)
    | sP51
    | sP50
    | sP49
    | sP48
    | e1 != op(e1,unit)
    | sP47
    | sP46
    | sP45
    | sP44
    | e4 != op(unit,e4)
    | sP43
    | e3 != op(e3,unit)
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | e0 != op(unit,e0)
    | sP34
    | e1 != op(unit,e1)
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1 ),
    inference(definition_folding,[],[f6,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(f7,plain,
    ( ( ( e3 != op(op(e3,e2),e2)
        | e2 = op(op(e3,e2),e3)
        | op(e2,e3) = op(e3,e2) )
      & ( e2 = op(op(e4,e2),e4)
        | e4 != op(op(e4,e2),e2)
        | op(e2,e4) = op(e4,e2) )
      & ( e3 = op(op(e4,e3),e4)
        | e4 != op(op(e4,e3),e3)
        | op(e3,e4) = op(e4,e3) )
      & ( e0 != op(op(e0,e1),e1)
        | op(e0,e1) = op(e1,e0)
        | e1 = op(op(e0,e1),e0) )
      & ( e1 != op(op(e1,e1),e1)
        | op(e1,e1) = op(e1,e1)
        | e1 = op(op(e1,e1),e1) )
      & ( op(e0,e4) = op(e4,e0)
        | e0 != op(op(e0,e4),e4)
        | e4 = op(op(e0,e4),e0) )
      & ( op(e0,e0) = op(e0,e0)
        | e0 != op(op(e0,e0),e0)
        | e0 = op(op(e0,e0),e0) )
      & ( e0 = op(op(e1,e0),e1)
        | op(e0,e1) = op(e1,e0)
        | e1 != op(op(e1,e0),e0) )
      & ( e3 = op(op(e1,e3),e1)
        | e1 != op(op(e1,e3),e3)
        | op(e1,e3) = op(e3,e1) )
      & ( e4 != op(op(e4,e0),e0)
        | op(e0,e4) = op(e4,e0)
        | e0 = op(op(e4,e0),e4) )
      & ( e3 != op(op(e3,e3),e3)
        | e3 = op(op(e3,e3),e3)
        | op(e3,e3) = op(e3,e3) )
      & ( op(e2,e3) = op(e3,e2)
        | e3 = op(op(e2,e3),e2)
        | e2 != op(op(e2,e3),e3) )
      & ( e2 = op(op(e0,e2),e0)
        | e0 != op(op(e0,e2),e2)
        | op(e0,e2) = op(e2,e0) )
      & ( op(e1,e4) = op(e4,e1)
        | e1 = op(op(e4,e1),e4)
        | e4 != op(op(e4,e1),e1) )
      & ( op(e2,e2) = op(e2,e2)
        | e2 = op(op(e2,e2),e2)
        | e2 != op(op(e2,e2),e2) )
      & ( e3 != op(op(e3,e0),e0)
        | op(e0,e3) = op(e3,e0)
        | e0 = op(op(e3,e0),e3) )
      & ( e2 != op(op(e2,e1),e1)
        | op(e1,e2) = op(e2,e1)
        | e1 = op(op(e2,e1),e2) )
      & ( op(e0,e3) = op(e3,e0)
        | e3 = op(op(e0,e3),e0)
        | e0 != op(op(e0,e3),e3) )
      & ( e4 = op(op(e1,e4),e1)
        | e1 != op(op(e1,e4),e4)
        | op(e1,e4) = op(e4,e1) )
      & ( e4 = op(op(e4,e4),e4)
        | op(e4,e4) = op(e4,e4)
        | e4 != op(op(e4,e4),e4) )
      & ( op(e1,e2) = op(e2,e1)
        | e1 != op(op(e1,e2),e2)
        | e2 = op(op(e1,e2),e1) )
      & ( op(e0,e2) = op(e2,e0)
        | e2 != op(op(e2,e0),e0)
        | e0 = op(op(e2,e0),e2) )
      & ( op(e3,e4) = op(e4,e3)
        | e3 != op(op(e3,e4),e4)
        | e4 = op(op(e3,e4),e3) )
      & ( e3 != op(op(e3,e1),e1)
        | e1 = op(op(e3,e1),e3)
        | op(e1,e3) = op(e3,e1) )
      & ( e4 = op(op(e2,e4),e2)
        | op(e2,e4) = op(e4,e2)
        | e2 != op(op(e2,e4),e4) ) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f2159,plain,
    spl76_12,
    inference(avatar_split_clause,[],[f180,f872]) ).

fof(f872,plain,
    ( spl76_12
  <=> e2 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_12])]) ).

fof(f180,plain,
    e2 = op(e4,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2157,plain,
    ( ~ spl76_49
    | ~ spl76_80 ),
    inference(avatar_split_clause,[],[f669,f1154,f1030]) ).

fof(f669,plain,
    ( e4 != op(unit,e4)
    | ~ sP52 ),
    inference(definition_unfolding,[],[f311,f185]) ).

fof(f311,plain,
    ( e4 != op(e0,e4)
    | ~ sP52 ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ( ( e2 != op(e0,e4)
      & e0 != op(e0,e4)
      & e1 != op(e0,e4)
      & e3 != op(e0,e4)
      & e4 != op(e0,e4) )
    | ~ sP52 ),
    inference(nnf_transformation,[],[f59]) ).

fof(f2151,plain,
    spl76_182,
    inference(avatar_split_clause,[],[f183,f1707]) ).

fof(f183,plain,
    e1 = op(e2,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2142,plain,
    ( ~ spl76_203
    | ~ spl76_71 ),
    inference(avatar_split_clause,[],[f636,f1118,f1839]) ).

fof(f1839,plain,
    ( spl76_203
  <=> op(e3,e2) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_203])]) ).

fof(f636,plain,
    ( ~ sP65
    | op(e3,e2) != unit ),
    inference(definition_unfolding,[],[f247,f185]) ).

fof(f247,plain,
    ( e0 != op(e3,e2)
    | ~ sP65 ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ( ( e2 != op(e3,e2)
      & e3 != op(e3,e2)
      & e4 != op(e3,e2)
      & e0 != op(e3,e2)
      & e1 != op(e3,e2) )
    | ~ sP65 ),
    inference(nnf_transformation,[],[f72]) ).

fof(f2139,plain,
    spl76_141,
    inference(avatar_split_clause,[],[f160,f1443]) ).

fof(f160,plain,
    e4 = op(e2,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2113,plain,
    ( ~ spl76_45
    | ~ spl76_62 ),
    inference(avatar_split_clause,[],[f647,f1082,f1014]) ).

fof(f647,plain,
    ( ~ sP60
    | e3 != op(unit,e3) ),
    inference(definition_unfolding,[],[f273,f185]) ).

fof(f273,plain,
    ( e3 != op(e0,e3)
    | ~ sP60 ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ( ( e1 != op(e0,e3)
      & e4 != op(e0,e3)
      & e3 != op(e0,e3)
      & e2 != op(e0,e3)
      & e0 != op(e0,e3) )
    | ~ sP60 ),
    inference(nnf_transformation,[],[f67]) ).

fof(f2112,plain,
    ( ~ spl76_18
    | ~ spl76_215 ),
    inference(avatar_split_clause,[],[f305,f1965,f899]) ).

fof(f305,plain,
    ( e1 != op(e3,e3)
    | ~ sP54 ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ( ( e1 != op(e3,e3)
      & e0 != op(e3,e3)
      & e3 != op(e3,e3)
      & e4 != op(e3,e3)
      & e2 != op(e3,e3) )
    | ~ sP54 ),
    inference(nnf_transformation,[],[f61]) ).

fof(f2108,plain,
    ( ~ spl76_99
    | ~ spl76_91 ),
    inference(avatar_split_clause,[],[f766,f1198,f1230]) ).

fof(f766,plain,
    ( e1 != op(unit,e1)
    | ~ sP11 ),
    inference(definition_unfolding,[],[f520,f185]) ).

fof(f520,plain,
    ( e1 != op(e0,e1)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ( ( e1 != op(e0,e1)
      & e1 != op(e3,e1)
      & e1 != op(e4,e1)
      & e1 != op(e1,e1)
      & e1 != op(e2,e1) )
    | ~ sP11 ),
    inference(nnf_transformation,[],[f18]) ).

fof(f2105,plain,
    ~ spl76_101,
    inference(avatar_split_clause,[],[f2104,f1238]) ).

fof(f2104,plain,
    ~ sP37,
    inference(subsumption_resolution,[],[f386,f168]) ).

fof(f168,plain,
    e2 = op(e3,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f386,plain,
    ( ~ sP37
    | e2 != op(e3,e4) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ( ( e2 != op(e4,e4)
      & e2 != op(e0,e4)
      & e2 != op(e2,e4)
      & e2 != op(e1,e4)
      & e2 != op(e3,e4) )
    | ~ sP37 ),
    inference(nnf_transformation,[],[f44]) ).

fof(f2095,plain,
    ( ~ spl76_5
    | ~ spl76_152 ),
    inference(avatar_split_clause,[],[f773,f1510,f840]) ).

fof(f773,plain,
    ( op(e2,e1) != unit
    | ~ sP9 ),
    inference(definition_unfolding,[],[f529,f185]) ).

fof(f529,plain,
    ( e0 != op(e2,e1)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ( ( e0 != op(e2,e2)
      & e0 != op(e2,e1)
      & e0 != op(e2,e0)
      & e0 != op(e2,e4)
      & e0 != op(e2,e3) )
    | ~ sP9 ),
    inference(nnf_transformation,[],[f16]) ).

fof(f2090,plain,
    ~ spl76_7,
    inference(avatar_split_clause,[],[f2089,f849]) ).

fof(f2089,plain,
    ~ sP38,
    inference(subsumption_resolution,[],[f381,f173]) ).

fof(f381,plain,
    ( e3 != op(e4,e1)
    | ~ sP38 ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ( ( e3 != op(e4,e2)
      & e3 != op(e4,e0)
      & e3 != op(e4,e3)
      & e3 != op(e4,e4)
      & e3 != op(e4,e1) )
    | ~ sP38 ),
    inference(nnf_transformation,[],[f45]) ).

fof(f2088,plain,
    ~ spl76_24,
    inference(avatar_split_clause,[],[f2087,f926]) ).

fof(f2087,plain,
    ~ sP18,
    inference(subsumption_resolution,[],[f482,f178]) ).

fof(f482,plain,
    ( ~ sP18
    | e1 != op(e4,e2) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ( ( e1 != op(e4,e3)
      & e1 != op(e4,e1)
      & e1 != op(e4,e4)
      & e1 != op(e4,e2)
      & e1 != op(e4,e0) )
    | ~ sP18 ),
    inference(nnf_transformation,[],[f25]) ).

fof(f2084,plain,
    ( ~ spl76_72
    | ~ spl76_184 ),
    inference(avatar_split_clause,[],[f470,f1719,f1122]) ).

fof(f1719,plain,
    ( spl76_184
  <=> e4 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_184])]) ).

fof(f470,plain,
    ( e4 != op(e3,e1)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ( ( e4 != op(e3,e1)
      & e4 != op(e3,e2)
      & e4 != op(e3,e4)
      & e4 != op(e3,e0)
      & e4 != op(e3,e3) )
    | ~ sP21 ),
    inference(nnf_transformation,[],[f28]) ).

fof(f2081,plain,
    spl76_152,
    inference(avatar_split_clause,[],[f612,f1510]) ).

fof(f612,plain,
    op(e2,e1) = unit,
    inference(definition_unfolding,[],[f165,f185]) ).

fof(f165,plain,
    e0 = op(e2,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f2043,plain,
    ( ~ spl76_2
    | ~ spl76_185 ),
    inference(avatar_split_clause,[],[f367,f1723,f826]) ).

fof(f367,plain,
    ( e3 != op(e1,e4)
    | ~ sP41 ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ( ( e3 != op(e1,e0)
      & e3 != op(e1,e1)
      & e3 != op(e1,e3)
      & e3 != op(e1,e4)
      & e3 != op(e1,e2) )
    | ~ sP41 ),
    inference(nnf_transformation,[],[f48]) ).

fof(f2042,plain,
    ~ spl76_58,
    inference(avatar_split_clause,[],[f2041,f1066]) ).

fof(f2041,plain,
    ~ sP3,
    inference(subsumption_resolution,[],[f559,f168]) ).

fof(f559,plain,
    ( e2 != op(e3,e4)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f156]) ).

fof(f156,plain,
    ( ( e2 != op(e3,e2)
      & e2 != op(e3,e4)
      & e2 != op(e3,e1)
      & e2 != op(e3,e3)
      & e2 != op(e3,e0) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f10]) ).

fof(f2039,plain,
    ( ~ spl76_54
    | ~ spl76_182 ),
    inference(avatar_split_clause,[],[f268,f1707,f1050]) ).

fof(f268,plain,
    ( e1 != op(e2,e4)
    | ~ sP61 ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ( ( e1 != op(e2,e3)
      & e1 != op(e2,e0)
      & e1 != op(e2,e4)
      & e1 != op(e2,e2)
      & e1 != op(e2,e1) )
    | ~ sP61 ),
    inference(nnf_transformation,[],[f68]) ).

fof(f2037,plain,
    spl76_23,
    inference(avatar_split_clause,[],[f613,f921]) ).

fof(f921,plain,
    ( spl76_23
  <=> op(e4,e4) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_23])]) ).

fof(f613,plain,
    op(e4,e4) = unit,
    inference(definition_unfolding,[],[f164,f185]) ).

fof(f164,plain,
    e0 = op(e4,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2020,plain,
    ( ~ spl76_61
    | ~ spl76_149 ),
    inference(avatar_split_clause,[],[f235,f1492,f1078]) ).

fof(f235,plain,
    ( e3 != op(e2,e2)
    | ~ sP68 ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ( ( e3 != op(e2,e2)
      & e3 != op(e2,e4)
      & e3 != op(e2,e3)
      & e3 != op(e2,e1)
      & e3 != op(e2,e0) )
    | ~ sP68 ),
    inference(nnf_transformation,[],[f75]) ).

fof(f1994,plain,
    ( ~ spl76_92
    | ~ spl76_44 ),
    inference(avatar_split_clause,[],[f763,f1010,f1202]) ).

fof(f763,plain,
    ( ~ sP12
    | e2 != op(e2,unit) ),
    inference(definition_unfolding,[],[f513,f185]) ).

fof(f513,plain,
    ( e2 != op(e2,e0)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ( ( e2 != op(e0,e0)
      & e2 != op(e4,e0)
      & e2 != op(e2,e0)
      & e2 != op(e3,e0)
      & e2 != op(e1,e0) )
    | ~ sP12 ),
    inference(nnf_transformation,[],[f19]) ).

fof(f1988,plain,
    ( ~ spl76_42
    | ~ spl76_55 ),
    inference(avatar_split_clause,[],[f778,f1054,f1002]) ).

fof(f778,plain,
    ( ~ sP8
    | e4 != op(e4,unit) ),
    inference(definition_unfolding,[],[f534,f185]) ).

fof(f534,plain,
    ( e4 != op(e4,e0)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ( ( e4 != op(e3,e0)
      & e4 != op(e4,e0)
      & e4 != op(e1,e0)
      & e4 != op(e2,e0)
      & e4 != op(e0,e0) )
    | ~ sP8 ),
    inference(nnf_transformation,[],[f15]) ).

fof(f1970,plain,
    ( ~ spl76_34
    | ~ spl76_96 ),
    inference(avatar_split_clause,[],[f718,f1218,f970]) ).

fof(f718,plain,
    ( e3 != op(e3,unit)
    | ~ sP31 ),
    inference(definition_unfolding,[],[f418,f185]) ).

fof(f418,plain,
    ( e3 != op(e3,e0)
    | ~ sP31 ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ( ( e3 != op(e3,e1)
      & e3 != op(e3,e3)
      & e3 != op(e3,e0)
      & e3 != op(e3,e2)
      & e3 != op(e3,e4) )
    | ~ sP31 ),
    inference(nnf_transformation,[],[f38]) ).

fof(f1969,plain,
    spl76_203,
    inference(avatar_split_clause,[],[f605,f1839]) ).

fof(f605,plain,
    op(e3,e2) = unit,
    inference(definition_unfolding,[],[f177,f185]) ).

fof(f177,plain,
    e0 = op(e3,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1968,plain,
    ( ~ spl76_215
    | ~ spl76_46 ),
    inference(avatar_split_clause,[],[f320,f1018,f1965]) ).

fof(f320,plain,
    ( ~ sP51
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ( ( e1 != op(e3,e3)
      & e1 != op(e3,e2)
      & e1 != op(e3,e0)
      & e1 != op(e3,e1)
      & e1 != op(e3,e4) )
    | ~ sP51 ),
    inference(nnf_transformation,[],[f58]) ).

fof(f1961,plain,
    ( ~ spl76_70
    | ~ spl76_184 ),
    inference(avatar_split_clause,[],[f402,f1719,f1114]) ).

fof(f402,plain,
    ( e4 != op(e3,e1)
    | ~ sP34 ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ( ( e4 != op(e4,e1)
      & e4 != op(e1,e1)
      & e4 != op(e0,e1)
      & e4 != op(e3,e1)
      & e4 != op(e2,e1) )
    | ~ sP34 ),
    inference(nnf_transformation,[],[f41]) ).

fof(f1954,plain,
    ( ~ spl76_48
    | ~ spl76_184 ),
    inference(avatar_split_clause,[],[f453,f1719,f1026]) ).

fof(f453,plain,
    ( e4 != op(e3,e1)
    | ~ sP24 ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ( ( e0 != op(e3,e1)
      & e1 != op(e3,e1)
      & e4 != op(e3,e1)
      & e2 != op(e3,e1)
      & e3 != op(e3,e1) )
    | ~ sP24 ),
    inference(nnf_transformation,[],[f31]) ).

fof(f1938,plain,
    ( ~ spl76_16
    | ~ spl76_83 ),
    inference(avatar_split_clause,[],[f747,f1166,f890]) ).

fof(f747,plain,
    ( e1 != op(e1,unit)
    | ~ sP22 ),
    inference(definition_unfolding,[],[f464,f185]) ).

fof(f464,plain,
    ( e1 != op(e1,e0)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ( ( e1 != op(e1,e2)
      & e1 != op(e1,e0)
      & e1 != op(e1,e1)
      & e1 != op(e1,e4)
      & e1 != op(e1,e3) )
    | ~ sP22 ),
    inference(nnf_transformation,[],[f29]) ).

fof(f1932,plain,
    ( spl76_211
    | ~ spl76_212
    | ~ spl76_52
    | spl76_194 ),
    inference(avatar_split_clause,[],[f575,f1778,f1042,f1929,f1925]) ).

fof(f575,plain,
    ( op(e1,e2) = op(e2,e1)
    | ~ sP0
    | e1 != op(op(e1,e2),e2)
    | e2 = op(op(e1,e2),e1) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,plain,
    ( ( ( e3 != op(op(e3,e2),e2)
        | e2 = op(op(e3,e2),e3)
        | op(e2,e3) = op(e3,e2) )
      & ( e2 = op(op(e4,e2),e4)
        | e4 != op(op(e4,e2),e2)
        | op(e2,e4) = op(e4,e2) )
      & ( e3 = op(op(e4,e3),e4)
        | e4 != op(op(e4,e3),e3)
        | op(e3,e4) = op(e4,e3) )
      & ( e0 != op(op(e0,e1),e1)
        | op(e0,e1) = op(e1,e0)
        | e1 = op(op(e0,e1),e0) )
      & ( e1 != op(op(e1,e1),e1)
        | op(e1,e1) = op(e1,e1)
        | e1 = op(op(e1,e1),e1) )
      & ( op(e0,e4) = op(e4,e0)
        | e0 != op(op(e0,e4),e4)
        | e4 = op(op(e0,e4),e0) )
      & ( op(e0,e0) = op(e0,e0)
        | e0 != op(op(e0,e0),e0)
        | e0 = op(op(e0,e0),e0) )
      & ( e0 = op(op(e1,e0),e1)
        | op(e0,e1) = op(e1,e0)
        | e1 != op(op(e1,e0),e0) )
      & ( e3 = op(op(e1,e3),e1)
        | e1 != op(op(e1,e3),e3)
        | op(e1,e3) = op(e3,e1) )
      & ( e4 != op(op(e4,e0),e0)
        | op(e0,e4) = op(e4,e0)
        | e0 = op(op(e4,e0),e4) )
      & ( e3 != op(op(e3,e3),e3)
        | e3 = op(op(e3,e3),e3)
        | op(e3,e3) = op(e3,e3) )
      & ( op(e2,e3) = op(e3,e2)
        | e3 = op(op(e2,e3),e2)
        | e2 != op(op(e2,e3),e3) )
      & ( e2 = op(op(e0,e2),e0)
        | e0 != op(op(e0,e2),e2)
        | op(e0,e2) = op(e2,e0) )
      & ( op(e1,e4) = op(e4,e1)
        | e1 = op(op(e4,e1),e4)
        | e4 != op(op(e4,e1),e1) )
      & ( op(e2,e2) = op(e2,e2)
        | e2 = op(op(e2,e2),e2)
        | e2 != op(op(e2,e2),e2) )
      & ( e3 != op(op(e3,e0),e0)
        | op(e0,e3) = op(e3,e0)
        | e0 = op(op(e3,e0),e3) )
      & ( e2 != op(op(e2,e1),e1)
        | op(e1,e2) = op(e2,e1)
        | e1 = op(op(e2,e1),e2) )
      & ( op(e0,e3) = op(e3,e0)
        | e3 = op(op(e0,e3),e0)
        | e0 != op(op(e0,e3),e3) )
      & ( e4 = op(op(e1,e4),e1)
        | e1 != op(op(e1,e4),e4)
        | op(e1,e4) = op(e4,e1) )
      & ( e4 = op(op(e4,e4),e4)
        | op(e4,e4) = op(e4,e4)
        | e4 != op(op(e4,e4),e4) )
      & ( op(e1,e2) = op(e2,e1)
        | e1 != op(op(e1,e2),e2)
        | e2 = op(op(e1,e2),e1) )
      & ( op(e0,e2) = op(e2,e0)
        | e2 != op(op(e2,e0),e0)
        | e0 = op(op(e2,e0),e2) )
      & ( op(e3,e4) = op(e4,e3)
        | e3 != op(op(e3,e4),e4)
        | e4 = op(op(e3,e4),e3) )
      & ( e3 != op(op(e3,e1),e1)
        | e1 = op(op(e3,e1),e3)
        | op(e1,e3) = op(e3,e1) )
      & ( e4 = op(op(e2,e4),e2)
        | op(e2,e4) = op(e4,e2)
        | e2 != op(op(e2,e4),e4) ) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f7]) ).

fof(f1921,plain,
    spl76_83,
    inference(avatar_split_clause,[],[f608,f1166]) ).

fof(f608,plain,
    e1 = op(e1,unit),
    inference(definition_unfolding,[],[f170,f185]) ).

fof(f170,plain,
    e1 = op(e1,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1916,plain,
    ( ~ spl76_203
    | ~ spl76_51 ),
    inference(avatar_split_clause,[],[f737,f1038,f1839]) ).

fof(f737,plain,
    ( ~ sP25
    | op(e3,e2) != unit ),
    inference(definition_unfolding,[],[f449,f185]) ).

fof(f449,plain,
    ( e0 != op(e3,e2)
    | ~ sP25 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ( ( e0 != op(e4,e2)
      & e0 != op(e3,e2)
      & e0 != op(e2,e2)
      & e0 != op(e1,e2)
      & e0 != op(e0,e2) )
    | ~ sP25 ),
    inference(nnf_transformation,[],[f32]) ).

fof(f1914,plain,
    spl76_184,
    inference(avatar_split_clause,[],[f176,f1719]) ).

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

fof(f1894,plain,
    ( ~ spl76_27
    | ~ spl76_28 ),
    inference(avatar_split_clause,[],[f658,f944,f939]) ).

fof(f658,plain,
    ( ~ sP56
    | e2 != op(unit,e2) ),
    inference(definition_unfolding,[],[f294,f185]) ).

fof(f294,plain,
    ( e2 != op(e0,e2)
    | ~ sP56 ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ( ( e0 != op(e0,e2)
      & e2 != op(e0,e2)
      & e4 != op(e0,e2)
      & e1 != op(e0,e2)
      & e3 != op(e0,e2) )
    | ~ sP56 ),
    inference(nnf_transformation,[],[f63]) ).

fof(f1891,plain,
    ~ spl76_47,
    inference(avatar_split_clause,[],[f1890,f1022]) ).

fof(f1890,plain,
    ~ sP29,
    inference(subsumption_resolution,[],[f426,f168]) ).

fof(f426,plain,
    ( e2 != op(e3,e4)
    | ~ sP29 ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ( ( e3 != op(e3,e4)
      & e4 != op(e3,e4)
      & e0 != op(e3,e4)
      & e1 != op(e3,e4)
      & e2 != op(e3,e4) )
    | ~ sP29 ),
    inference(nnf_transformation,[],[f36]) ).

fof(f1880,plain,
    ( ~ spl76_89
    | ~ spl76_12 ),
    inference(avatar_split_clause,[],[f245,f872,f1190]) ).

fof(f245,plain,
    ( e2 != op(e4,e3)
    | ~ sP66 ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ( ( e2 != op(e4,e3)
      & e2 != op(e4,e1)
      & e2 != op(e4,e2)
      & e2 != op(e4,e4)
      & e2 != op(e4,e0) )
    | ~ sP66 ),
    inference(nnf_transformation,[],[f73]) ).

fof(f1875,plain,
    ~ spl76_35,
    inference(avatar_split_clause,[],[f1874,f974]) ).

fof(f1874,plain,
    ~ sP62,
    inference(subsumption_resolution,[],[f263,f178]) ).

fof(f263,plain,
    ( e1 != op(e4,e2)
    | ~ sP62 ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ( ( e0 != op(e4,e2)
      & e4 != op(e4,e2)
      & e1 != op(e4,e2)
      & e2 != op(e4,e2)
      & e3 != op(e4,e2) )
    | ~ sP62 ),
    inference(nnf_transformation,[],[f69]) ).

fof(f1849,plain,
    spl76_149,
    inference(avatar_split_clause,[],[f175,f1492]) ).

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

fof(f1848,plain,
    ~ spl76_104,
    inference(avatar_split_clause,[],[f617,f1255]) ).

fof(f617,plain,
    e4 != unit,
    inference(definition_unfolding,[],[f186,f185]) ).

fof(f186,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( e1 != e4
    & e1 != e2
    & e2 != e3
    & e0 != e1
    & e2 != e4
    & e0 != e3
    & e0 != e2
    & e1 != e3
    & e3 != e4
    & e0 != e4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(f1842,plain,
    ( ~ spl76_203
    | ~ spl76_43 ),
    inference(avatar_split_clause,[],[f783,f1006,f1839]) ).

fof(f783,plain,
    ( ~ sP7
    | op(e3,e2) != unit ),
    inference(definition_unfolding,[],[f539,f185]) ).

fof(f539,plain,
    ( e0 != op(e3,e2)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ( ( e0 != op(e3,e1)
      & e0 != op(e3,e2)
      & e0 != op(e3,e0)
      & e0 != op(e3,e3)
      & e0 != op(e3,e4) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f14]) ).

fof(f1813,plain,
    ~ spl76_15,
    inference(avatar_split_clause,[],[f1812,f885]) ).

fof(f1812,plain,
    ~ sP53,
    inference(subsumption_resolution,[],[f309,f178]) ).

fof(f309,plain,
    ( ~ sP53
    | e1 != op(e4,e2) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ( ( e1 != op(e1,e2)
      & e1 != op(e4,e2)
      & e1 != op(e0,e2)
      & e1 != op(e2,e2)
      & e1 != op(e3,e2) )
    | ~ sP53 ),
    inference(nnf_transformation,[],[f60]) ).

fof(f1810,plain,
    ~ spl76_198,
    inference(avatar_split_clause,[],[f193,f1806]) ).

fof(f193,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f1]) ).

fof(f1803,plain,
    spl76_92,
    inference(avatar_split_clause,[],[f603,f1202]) ).

fof(f603,plain,
    e2 = op(e2,unit),
    inference(definition_unfolding,[],[f181,f185]) ).

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

fof(f1791,plain,
    spl76_42,
    inference(avatar_split_clause,[],[f601,f1002]) ).

fof(f601,plain,
    e4 = op(e4,unit),
    inference(definition_unfolding,[],[f184,f185]) ).

fof(f184,plain,
    e4 = op(e4,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1769,plain,
    ( ~ spl76_74
    | ~ spl76_92 ),
    inference(avatar_split_clause,[],[f760,f1202,f1130]) ).

fof(f760,plain,
    ( e2 != op(e2,unit)
    | ~ sP13 ),
    inference(definition_unfolding,[],[f509,f185]) ).

fof(f509,plain,
    ( e2 != op(e2,e0)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ( ( e2 != op(e2,e2)
      & e2 != op(e2,e0)
      & e2 != op(e2,e3)
      & e2 != op(e2,e1)
      & e2 != op(e2,e4) )
    | ~ sP13 ),
    inference(nnf_transformation,[],[f20]) ).

fof(f1768,plain,
    spl76_45,
    inference(avatar_split_clause,[],[f609,f1014]) ).

fof(f609,plain,
    e3 = op(unit,e3),
    inference(definition_unfolding,[],[f169,f185]) ).

fof(f169,plain,
    e3 = op(e0,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1739,plain,
    ( ~ spl76_100
    | ~ spl76_152 ),
    inference(avatar_split_clause,[],[f622,f1510,f1234]) ).

fof(f622,plain,
    ( op(e2,e1) != unit
    | ~ sP71 ),
    inference(definition_unfolding,[],[f216,f185]) ).

fof(f216,plain,
    ( e0 != op(e2,e1)
    | ~ sP71 ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ( ( e2 != op(e2,e1)
      & e3 != op(e2,e1)
      & e1 != op(e2,e1)
      & e4 != op(e2,e1)
      & e0 != op(e2,e1) )
    | ~ sP71 ),
    inference(nnf_transformation,[],[f78]) ).

fof(f1727,plain,
    ( ~ spl76_79
    | ~ spl76_42 ),
    inference(avatar_split_clause,[],[f685,f1002,f1150]) ).

fof(f685,plain,
    ( e4 != op(e4,unit)
    | ~ sP45 ),
    inference(definition_unfolding,[],[f349,f185]) ).

fof(f349,plain,
    ( e4 != op(e4,e0)
    | ~ sP45 ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ( ( e3 != op(e4,e0)
      & e4 != op(e4,e0)
      & e0 != op(e4,e0)
      & e1 != op(e4,e0)
      & e2 != op(e4,e0) )
    | ~ sP45 ),
    inference(nnf_transformation,[],[f52]) ).

fof(f1710,plain,
    ( ~ spl76_182
    | ~ spl76_78 ),
    inference(avatar_split_clause,[],[f380,f1146,f1707]) ).

fof(f380,plain,
    ( ~ sP39
    | e1 != op(e2,e4) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ( ( e1 != op(e2,e4)
      & e3 != op(e2,e4)
      & e4 != op(e2,e4)
      & e2 != op(e2,e4)
      & e0 != op(e2,e4) )
    | ~ sP39 ),
    inference(nnf_transformation,[],[f46]) ).

fof(f1705,plain,
    spl76_96,
    inference(avatar_split_clause,[],[f602,f1218]) ).

fof(f602,plain,
    e3 = op(e3,unit),
    inference(definition_unfolding,[],[f182,f185]) ).

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

fof(f1704,plain,
    spl76_27,
    inference(avatar_split_clause,[],[f611,f939]) ).

fof(f611,plain,
    e2 = op(unit,e2),
    inference(definition_unfolding,[],[f166,f185]) ).

fof(f166,plain,
    e2 = op(e0,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1702,plain,
    ( ~ spl76_67
    | ~ spl76_141 ),
    inference(avatar_split_clause,[],[f214,f1443,f1102]) ).

fof(f214,plain,
    ( e4 != op(e2,e3)
    | ~ sP72 ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ( ( e2 != op(e2,e3)
      & e4 != op(e2,e3)
      & e1 != op(e2,e3)
      & e0 != op(e2,e3)
      & e3 != op(e2,e3) )
    | ~ sP72 ),
    inference(nnf_transformation,[],[f79]) ).

fof(f1695,plain,
    ( ~ spl76_50
    | ~ spl76_23 ),
    inference(avatar_split_clause,[],[f727,f921,f1034]) ).

fof(f727,plain,
    ( op(e4,e4) != unit
    | ~ sP28 ),
    inference(definition_unfolding,[],[f433,f185]) ).

fof(f433,plain,
    ( e0 != op(e4,e4)
    | ~ sP28 ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ( ( e0 != op(e4,e2)
      & e0 != op(e4,e3)
      & e0 != op(e4,e4)
      & e0 != op(e4,e0)
      & e0 != op(e4,e1) )
    | ~ sP28 ),
    inference(nnf_transformation,[],[f35]) ).

fof(f1688,plain,
    ( ~ spl76_69
    | ~ spl76_42 ),
    inference(avatar_split_clause,[],[f699,f1002,f1110]) ).

fof(f699,plain,
    ( e4 != op(e4,unit)
    | ~ sP42 ),
    inference(definition_unfolding,[],[f362,f185]) ).

fof(f362,plain,
    ( e4 != op(e4,e0)
    | ~ sP42 ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ( ( e4 != op(e4,e4)
      & e4 != op(e4,e3)
      & e4 != op(e4,e1)
      & e4 != op(e4,e0)
      & e4 != op(e4,e2) )
    | ~ sP42 ),
    inference(nnf_transformation,[],[f49]) ).

fof(f1680,plain,
    ( ~ spl76_130
    | ~ spl76_98 ),
    inference(avatar_split_clause,[],[f503,f1226,f1385]) ).

fof(f503,plain,
    ( ~ sP14
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ( ( e2 != op(e2,e1)
      & e2 != op(e0,e1)
      & e2 != op(e1,e1)
      & e2 != op(e3,e1)
      & e2 != op(e4,e1) )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f21]) ).

fof(f1679,plain,
    ~ spl76_37,
    inference(avatar_split_clause,[],[f1678,f982]) ).

fof(f1678,plain,
    ~ sP17,
    inference(subsumption_resolution,[],[f487,f173]) ).

fof(f487,plain,
    ( e3 != op(e4,e1)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ( ( e3 != op(e0,e1)
      & e3 != op(e2,e1)
      & e3 != op(e3,e1)
      & e3 != op(e4,e1)
      & e3 != op(e1,e1) )
    | ~ sP17 ),
    inference(nnf_transformation,[],[f24]) ).

fof(f1631,plain,
    ( ~ spl76_130
    | ~ spl76_38 ),
    inference(avatar_split_clause,[],[f408,f986,f1385]) ).

fof(f408,plain,
    ( ~ sP33
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( ( e2 != op(e1,e2)
      & e2 != op(e1,e0)
      & e2 != op(e1,e1)
      & e2 != op(e1,e4)
      & e2 != op(e1,e3) )
    | ~ sP33 ),
    inference(nnf_transformation,[],[f40]) ).

fof(f1623,plain,
    ~ spl76_60,
    inference(avatar_split_clause,[],[f1622,f1074]) ).

fof(f1622,plain,
    ~ sP55,
    inference(subsumption_resolution,[],[f662,f606]) ).

fof(f662,plain,
    ( ~ sP55
    | op(e1,e3) != unit ),
    inference(definition_unfolding,[],[f300,f185]) ).

fof(f300,plain,
    ( e0 != op(e1,e3)
    | ~ sP55 ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ( ( e0 != op(e1,e3)
      & e2 != op(e1,e3)
      & e3 != op(e1,e3)
      & e4 != op(e1,e3)
      & e1 != op(e1,e3) )
    | ~ sP55 ),
    inference(nnf_transformation,[],[f62]) ).

fof(f1608,plain,
    ~ spl76_86,
    inference(avatar_split_clause,[],[f819,f1178]) ).

fof(f819,plain,
    ~ sP59,
    inference(trivial_inequality_removal,[],[f650]) ).

fof(f650,plain,
    ( unit != unit
    | ~ sP59 ),
    inference(definition_unfolding,[],[f277,f185]) ).

fof(f277,plain,
    ( e0 != unit
    | ~ sP59 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ( ( e1 != unit
      & e3 != unit
      & e2 != unit
      & e0 != unit
      & e4 != unit )
    | ~ sP59 ),
    inference(nnf_transformation,[],[f66]) ).

fof(f1607,plain,
    ( ~ spl76_80
    | ~ spl76_65 ),
    inference(avatar_split_clause,[],[f651,f1094,f1154]) ).

fof(f651,plain,
    ( ~ sP58
    | e4 != op(unit,e4) ),
    inference(definition_unfolding,[],[f285,f185]) ).

fof(f285,plain,
    ( e4 != op(e0,e4)
    | ~ sP58 ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ( ( e4 != op(e0,e4)
      & e4 != op(e3,e4)
      & e4 != op(e4,e4)
      & e4 != op(e2,e4)
      & e4 != op(e1,e4) )
    | ~ sP58 ),
    inference(nnf_transformation,[],[f65]) ).

fof(f1600,plain,
    spl76_80,
    inference(avatar_split_clause,[],[f610,f1154]) ).

fof(f610,plain,
    e4 = op(unit,e4),
    inference(definition_unfolding,[],[f167,f185]) ).

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

fof(f1589,plain,
    ~ spl76_57,
    inference(avatar_split_clause,[],[f1588,f1062]) ).

fof(f1588,plain,
    ~ sP64,
    inference(subsumption_resolution,[],[f254,f173]) ).

fof(f254,plain,
    ( ~ sP64
    | e3 != op(e4,e1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ( ( e4 != op(e4,e1)
      & e3 != op(e4,e1)
      & e1 != op(e4,e1)
      & e0 != op(e4,e1)
      & e2 != op(e4,e1) )
    | ~ sP64 ),
    inference(nnf_transformation,[],[f71]) ).

fof(f1569,plain,
    ( ~ spl76_4
    | ~ spl76_73 ),
    inference(avatar_split_clause,[],[f326,f1126,f835]) ).

fof(f326,plain,
    ( ~ sP49
    | e4 != op(e1,e2) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ( ( e4 != op(e3,e2)
      & e4 != op(e4,e2)
      & e4 != op(e2,e2)
      & e4 != op(e0,e2)
      & e4 != op(e1,e2) )
    | ~ sP49 ),
    inference(nnf_transformation,[],[f56]) ).

fof(f1527,plain,
    ( ~ spl76_30
    | ~ spl76_81 ),
    inference(avatar_split_clause,[],[f713,f1158,f953]) ).

fof(f713,plain,
    ( unit != op(unit,unit)
    | ~ sP32 ),
    inference(definition_unfolding,[],[f415,f185,f185,f185]) ).

fof(f415,plain,
    ( e0 != op(e0,e0)
    | ~ sP32 ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ( ( e0 != op(e0,e0)
      & e0 != op(e0,e1)
      & e0 != op(e0,e3)
      & e0 != op(e0,e4)
      & e0 != op(e0,e2) )
    | ~ sP32 ),
    inference(nnf_transformation,[],[f39]) ).

fof(f1521,plain,
    spl76_91,
    inference(avatar_split_clause,[],[f607,f1198]) ).

fof(f607,plain,
    e1 = op(unit,e1),
    inference(definition_unfolding,[],[f171,f185]) ).

fof(f171,plain,
    e1 = op(e0,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1513,plain,
    ( ~ spl76_152
    | ~ spl76_39 ),
    inference(avatar_split_clause,[],[f752,f990,f1510]) ).

fof(f752,plain,
    ( ~ sP19
    | op(e2,e1) != unit ),
    inference(definition_unfolding,[],[f478,f185]) ).

fof(f478,plain,
    ( e0 != op(e2,e1)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ( ( e0 != op(e0,e1)
      & e0 != op(e3,e1)
      & e0 != op(e2,e1)
      & e0 != op(e1,e1)
      & e0 != op(e4,e1) )
    | ~ sP19 ),
    inference(nnf_transformation,[],[f26]) ).

fof(f1495,plain,
    ( ~ spl76_149
    | ~ spl76_95 ),
    inference(avatar_split_clause,[],[f497,f1214,f1492]) ).

fof(f497,plain,
    ( ~ sP15
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ( ( e2 != op(e2,e2)
      & e0 != op(e2,e2)
      & e1 != op(e2,e2)
      & e3 != op(e2,e2)
      & e4 != op(e2,e2) )
    | ~ sP15 ),
    inference(nnf_transformation,[],[f22]) ).

fof(f1479,plain,
    ( ~ spl76_82
    | ~ spl76_80 ),
    inference(avatar_split_clause,[],[f790,f1154,f1162]) ).

fof(f790,plain,
    ( e4 != op(unit,e4)
    | ~ sP6 ),
    inference(definition_unfolding,[],[f542,f185]) ).

fof(f542,plain,
    ( e4 != op(e0,e4)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ( ( e4 != op(e0,e2)
      & e4 != op(e0,e0)
      & e4 != op(e0,e1)
      & e4 != op(e0,e4)
      & e4 != op(e0,e3) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f13]) ).

fof(f1477,plain,
    ~ spl76_56,
    inference(avatar_split_clause,[],[f1476,f1058]) ).

fof(f1476,plain,
    ~ sP57,
    inference(subsumption_resolution,[],[f655,f606]) ).

fof(f655,plain,
    ( ~ sP57
    | op(e1,e3) != unit ),
    inference(definition_unfolding,[],[f287,f185]) ).

fof(f287,plain,
    ( e0 != op(e1,e3)
    | ~ sP57 ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ( ( e0 != op(e0,e3)
      & e0 != op(e3,e3)
      & e0 != op(e4,e3)
      & e0 != op(e1,e3)
      & e0 != op(e2,e3) )
    | ~ sP57 ),
    inference(nnf_transformation,[],[f64]) ).

fof(f1464,plain,
    ( ~ spl76_94
    | ~ spl76_12 ),
    inference(avatar_split_clause,[],[f237,f872,f1210]) ).

fof(f237,plain,
    ( e2 != op(e4,e3)
    | ~ sP67 ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ( ( e0 != op(e4,e3)
      & e4 != op(e4,e3)
      & e3 != op(e4,e3)
      & e2 != op(e4,e3)
      & e1 != op(e4,e3) )
    | ~ sP67 ),
    inference(nnf_transformation,[],[f74]) ).

fof(f1447,plain,
    ( ~ spl76_85
    | ~ spl76_83 ),
    inference(avatar_split_clause,[],[f694,f1166,f1174]) ).

fof(f694,plain,
    ( e1 != op(e1,unit)
    | ~ sP43 ),
    inference(definition_unfolding,[],[f360,f185]) ).

fof(f360,plain,
    ( e1 != op(e1,e0)
    | ~ sP43 ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ( ( e1 != op(e1,e0)
      & e1 != op(e4,e0)
      & e1 != op(e2,e0)
      & e1 != op(e3,e0)
      & e1 != op(e0,e0) )
    | ~ sP43 ),
    inference(nnf_transformation,[],[f50]) ).

fof(f1446,plain,
    ( ~ spl76_141
    | ~ spl76_59 ),
    inference(avatar_split_clause,[],[f398,f1070,f1443]) ).

fof(f398,plain,
    ( ~ sP35
    | e4 != op(e2,e3) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ( ( e4 != op(e2,e1)
      & e4 != op(e2,e4)
      & e4 != op(e2,e3)
      & e4 != op(e2,e2)
      & e4 != op(e2,e0) )
    | ~ sP35 ),
    inference(nnf_transformation,[],[f42]) ).

fof(f1430,plain,
    ( ~ spl76_77
    | ~ spl76_4 ),
    inference(avatar_split_clause,[],[f474,f835,f1142]) ).

fof(f474,plain,
    ( e4 != op(e1,e2)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ( ( e4 != op(e1,e3)
      & e4 != op(e1,e2)
      & e4 != op(e1,e1)
      & e4 != op(e1,e0)
      & e4 != op(e1,e4) )
    | ~ sP20 ),
    inference(nnf_transformation,[],[f27]) ).

fof(f1388,plain,
    ( ~ spl76_130
    | ~ spl76_40 ),
    inference(avatar_split_clause,[],[f494,f994,f1385]) ).

fof(f494,plain,
    ( ~ sP16
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ( ( e0 != op(e1,e1)
      & e2 != op(e1,e1)
      & e4 != op(e1,e1)
      & e1 != op(e1,e1)
      & e3 != op(e1,e1) )
    | ~ sP16 ),
    inference(nnf_transformation,[],[f23]) ).

fof(f1365,plain,
    ( ~ spl76_33
    | ~ spl76_23 ),
    inference(avatar_split_clause,[],[f623,f921,f966]) ).

fof(f623,plain,
    ( op(e4,e4) != unit
    | ~ sP70 ),
    inference(definition_unfolding,[],[f225,f185]) ).

fof(f225,plain,
    ( e0 != op(e4,e4)
    | ~ sP70 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ( ( e0 != op(e4,e4)
      & e0 != op(e1,e4)
      & e0 != op(e3,e4)
      & e0 != op(e2,e4)
      & e0 != op(e0,e4) )
    | ~ sP70 ),
    inference(nnf_transformation,[],[f77]) ).

fof(f1300,plain,
    ( ~ spl76_84
    | ~ spl76_91 ),
    inference(avatar_split_clause,[],[f730,f1198,f1170]) ).

fof(f730,plain,
    ( e1 != op(unit,e1)
    | ~ sP27 ),
    inference(definition_unfolding,[],[f440,f185]) ).

fof(f440,plain,
    ( e1 != op(e0,e1)
    | ~ sP27 ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ( ( e1 != op(e0,e1)
      & e1 != op(e0,e2)
      & e1 != op(e0,e0)
      & e1 != op(e0,e3)
      & e1 != op(e0,e4) )
    | ~ sP27 ),
    inference(nnf_transformation,[],[f34]) ).

fof(f1299,plain,
    ( ~ spl76_93
    | ~ spl76_81 ),
    inference(avatar_split_clause,[],[f683,f1158,f1206]) ).

fof(f683,plain,
    ( unit != op(unit,unit)
    | ~ sP46 ),
    inference(definition_unfolding,[],[f341,f185,f185,f185]) ).

fof(f341,plain,
    ( e0 != op(e0,e0)
    | ~ sP46 ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ( ( e4 != op(e0,e0)
      & e2 != op(e0,e0)
      & e1 != op(e0,e0)
      & e3 != op(e0,e0)
      & e0 != op(e0,e0) )
    | ~ sP46 ),
    inference(nnf_transformation,[],[f53]) ).

fof(f1253,plain,
    ( ~ spl76_81
    | ~ spl76_32 ),
    inference(avatar_split_clause,[],[f676,f962,f1158]) ).

fof(f676,plain,
    ( ~ sP48
    | unit != op(unit,unit) ),
    inference(definition_unfolding,[],[f332,f185,f185,f185]) ).

fof(f332,plain,
    ( e0 != op(e0,e0)
    | ~ sP48 ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ( ( e0 != op(e1,e0)
      & e0 != op(e4,e0)
      & e0 != op(e2,e0)
      & e0 != op(e0,e0)
      & e0 != op(e3,e0) )
    | ~ sP48 ),
    inference(nnf_transformation,[],[f55]) ).

fof(f1252,plain,
    ( ~ spl76_92
    | ~ spl76_88 ),
    inference(avatar_split_clause,[],[f798,f1186,f1202]) ).

fof(f798,plain,
    ( ~ sP1
    | e2 != op(e2,unit) ),
    inference(definition_unfolding,[],[f568,f185]) ).

fof(f568,plain,
    ( e2 != op(e2,e0)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f158]) ).

fof(f158,plain,
    ( ( e0 != op(e2,e0)
      & e3 != op(e2,e0)
      & e2 != op(e2,e0)
      & e4 != op(e2,e0)
      & e1 != op(e2,e0) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f8]) ).

fof(f942,plain,
    ( ~ spl76_26
    | ~ spl76_27 ),
    inference(avatar_split_clause,[],[f708,f939,f935]) ).

fof(f708,plain,
    ( e2 != op(unit,e2)
    | ~ sP36 ),
    inference(definition_unfolding,[],[f392,f185]) ).

fof(f392,plain,
    ( e2 != op(e0,e2)
    | ~ sP36 ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ( ( e2 != op(e0,e3)
      & e2 != op(e0,e0)
      & e2 != op(e0,e1)
      & e2 != op(e0,e2)
      & e2 != op(e0,e4) )
    | ~ sP36 ),
    inference(nnf_transformation,[],[f43]) ).

fof(f924,plain,
    ( ~ spl76_22
    | ~ spl76_23 ),
    inference(avatar_split_clause,[],[f735,f921,f917]) ).

fof(f735,plain,
    ( op(e4,e4) != unit
    | ~ sP26 ),
    inference(definition_unfolding,[],[f443,f185]) ).

fof(f443,plain,
    ( e0 != op(e4,e4)
    | ~ sP26 ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ( ( e2 != op(e4,e4)
      & e4 != op(e4,e4)
      & e0 != op(e4,e4)
      & e3 != op(e4,e4)
      & e1 != op(e4,e4) )
    | ~ sP26 ),
    inference(nnf_transformation,[],[f33]) ).

fof(f879,plain,
    ( ~ spl76_12
    | ~ spl76_13 ),
    inference(avatar_split_clause,[],[f374,f876,f872]) ).

fof(f374,plain,
    ( ~ sP40
    | e2 != op(e4,e3) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ( ( e2 != op(e0,e3)
      & e2 != op(e4,e3)
      & e2 != op(e1,e3)
      & e2 != op(e2,e3)
      & e2 != op(e3,e3) )
    | ~ sP40 ),
    inference(nnf_transformation,[],[f47]) ).

fof(f838,plain,
    ( ~ spl76_3
    | ~ spl76_4 ),
    inference(avatar_split_clause,[],[f553,f835,f831]) ).

fof(f553,plain,
    ( e4 != op(e1,e2)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ( ( e1 != op(e1,e2)
      & e2 != op(e1,e2)
      & e4 != op(e1,e2)
      & e3 != op(e1,e2)
      & e0 != op(e1,e2) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : ALG095+1 : TPTP v8.1.0. Released v2.7.0.
% 0.08/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.16/0.37  % Computer : n013.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon Aug 29 14:50:47 EDT 2022
% 0.16/0.37  % CPUTime    : 
% 0.23/0.50  % (27188)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.51  % (27203)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.02/0.52  % (27188)Instruction limit reached!
% 1.02/0.52  % (27188)------------------------------
% 1.02/0.52  % (27188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.02/0.52  % (27188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.02/0.52  % (27188)Termination reason: Unknown
% 1.02/0.52  % (27188)Termination phase: Preprocessing 2
% 1.02/0.52  
% 1.02/0.52  % (27188)Memory used [KB]: 1023
% 1.02/0.52  % (27188)Time elapsed: 0.004 s
% 1.02/0.52  % (27188)Instructions burned: 2 (million)
% 1.02/0.52  % (27188)------------------------------
% 1.02/0.52  % (27188)------------------------------
% 1.02/0.52  % (27195)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.21/0.54  % (27193)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.21/0.55  % (27202)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.21/0.55  % (27185)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.21/0.55  % (27194)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.21/0.56  % (27183)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.21/0.56  % (27184)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.21/0.56  % (27187)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.21/0.56  % (27201)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.21/0.56  % (27189)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.21/0.56  % (27190)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.21/0.56  % (27191)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.21/0.56  % (27186)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.21/0.56  % (27181)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.21/0.56  % (27180)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.21/0.57  % (27203)First to succeed.
% 1.21/0.57  % (27187)Instruction limit reached!
% 1.21/0.57  % (27187)------------------------------
% 1.21/0.57  % (27187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.21/0.57  % (27205)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.21/0.57  % (27196)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.21/0.57  % (27200)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.21/0.57  % (27199)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.21/0.58  % (27182)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.21/0.58  % (27187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.21/0.58  % (27187)Termination reason: Unknown
% 1.21/0.58  % (27187)Termination phase: Property scanning
% 1.21/0.58  
% 1.21/0.58  % (27187)Memory used [KB]: 1151
% 1.21/0.58  % (27187)Time elapsed: 0.007 s
% 1.21/0.58  % (27187)Instructions burned: 9 (million)
% 1.21/0.58  % (27187)------------------------------
% 1.21/0.58  % (27187)------------------------------
% 1.21/0.58  % (27208)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.21/0.58  % (27209)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.21/0.58  % (27204)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.21/0.58  % (27192)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.21/0.58  % (27198)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.21/0.58  % (27206)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.21/0.58  % (27207)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.21/0.59  % (27197)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.21/0.60  TRYING [5]
% 1.21/0.60  % (27203)Refutation found. Thanks to Tanya!
% 1.21/0.60  % SZS status Theorem for theBenchmark
% 1.21/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.21/0.61  % (27203)------------------------------
% 1.21/0.61  % (27203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.21/0.61  % (27203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.21/0.61  % (27203)Termination reason: Refutation
% 1.21/0.61  
% 1.21/0.61  % (27203)Memory used [KB]: 7036
% 1.21/0.61  % (27203)Time elapsed: 0.052 s
% 1.21/0.61  % (27203)Instructions burned: 32 (million)
% 1.21/0.61  % (27203)------------------------------
% 1.21/0.61  % (27203)------------------------------
% 1.21/0.61  % (27179)Success in time 0.221 s
%------------------------------------------------------------------------------