TSTP Solution File: ALG022+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG022+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 04:10:01 EDT 2024

% Result   : Theorem 0.61s 0.81s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  152
% Syntax   : Number of formulae    :  734 (  65 unt;   0 def)
%            Number of atoms       : 3460 (1713 equ)
%            Maximal formula atoms :  180 (   4 avg)
%            Number of connectives : 4814 (2088   ~;2057   |; 546   &)
%                                         ( 123 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  110 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :  149 ( 147 usr; 148 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1609,plain,
    $false,
    inference(avatar_sat_refutation,[],[f277,f296,f330,f350,f374,f393,f412,f431,f465,f479,f518,f532,f556,f590,f599,f633,f647,f676,f705,f734,f742,f750,f758,f765,f1059,f1075,f1076,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1101,f1105,f1109,f1113,f1118,f1124,f1131,f1139,f1146,f1154,f1161,f1169,f1176,f1184,f1191,f1199,f1206,f1213,f1219,f1224,f1229,f1234,f1241,f1248,f1255,f1263,f1270,f1278,f1285,f1293,f1300,f1308,f1315,f1322,f1328,f1333,f1338,f1344,f1351,f1359,f1366,f1374,f1380,f1388,f1394,f1402,f1409,f1417,f1424,f1431,f1437,f1442,f1447,f1453,f1460,f1468,f1475,f1483,f1490,f1498,f1505,f1513,f1520,f1527,f1533,f1538,f1542,f1546,f1550,f1554,f1558,f1562,f1567,f1573,f1588,f1605]) ).

fof(f1605,plain,
    ( spl24_17
    | ~ spl24_71
    | ~ spl24_74 ),
    inference(avatar_contradiction_clause,[],[f1604]) ).

fof(f1604,plain,
    ( $false
    | spl24_17
    | ~ spl24_71
    | ~ spl24_74 ),
    inference(subsumption_resolution,[],[f1603,f338]) ).

fof(f338,plain,
    ( e3 != unit
    | spl24_17 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f336,plain,
    ( spl24_17
  <=> e3 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_17])]) ).

fof(f1603,plain,
    ( e3 = unit
    | ~ spl24_71
    | ~ spl24_74 ),
    inference(forward_demodulation,[],[f612,f597]) ).

fof(f597,plain,
    ( e3 = op(e1,e1)
    | ~ spl24_71 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f596,plain,
    ( spl24_71
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_71])]) ).

fof(f612,plain,
    ( op(e1,e1) = unit
    | ~ spl24_74 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f611,plain,
    ( spl24_74
  <=> op(e1,e1) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_74])]) ).

fof(f1588,plain,
    ( spl24_19
    | ~ spl24_98
    | ~ spl24_99 ),
    inference(avatar_contradiction_clause,[],[f1587]) ).

fof(f1587,plain,
    ( $false
    | spl24_19
    | ~ spl24_98
    | ~ spl24_99 ),
    inference(subsumption_resolution,[],[f1585,f348]) ).

fof(f348,plain,
    ( e1 != unit
    | spl24_19 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f346,plain,
    ( spl24_19
  <=> e1 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_19])]) ).

fof(f1585,plain,
    ( e1 = unit
    | ~ spl24_98
    | ~ spl24_99 ),
    inference(backward_demodulation,[],[f732,f727]) ).

fof(f727,plain,
    ( e1 = op(unit,unit)
    | ~ spl24_98 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f726,plain,
    ( spl24_98
  <=> e1 = op(unit,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_98])]) ).

fof(f732,plain,
    ( unit = op(unit,unit)
    | ~ spl24_99 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f731,plain,
    ( spl24_99
  <=> unit = op(unit,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_99])]) ).

fof(f1573,plain,
    ( spl24_18
    | ~ spl24_97
    | ~ spl24_99 ),
    inference(avatar_contradiction_clause,[],[f1572]) ).

fof(f1572,plain,
    ( $false
    | spl24_18
    | ~ spl24_97
    | ~ spl24_99 ),
    inference(subsumption_resolution,[],[f1571,f343]) ).

fof(f343,plain,
    ( e2 != unit
    | spl24_18 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f341,plain,
    ( spl24_18
  <=> e2 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_18])]) ).

fof(f1571,plain,
    ( e2 = unit
    | ~ spl24_97
    | ~ spl24_99 ),
    inference(backward_demodulation,[],[f732,f722]) ).

fof(f722,plain,
    ( e2 = op(unit,unit)
    | ~ spl24_97 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f721,plain,
    ( spl24_97
  <=> e2 = op(unit,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_97])]) ).

fof(f1567,plain,
    ( spl24_17
    | ~ spl24_96
    | ~ spl24_99 ),
    inference(avatar_contradiction_clause,[],[f1566]) ).

fof(f1566,plain,
    ( $false
    | spl24_17
    | ~ spl24_96
    | ~ spl24_99 ),
    inference(subsumption_resolution,[],[f1565,f338]) ).

fof(f1565,plain,
    ( e3 = unit
    | ~ spl24_96
    | ~ spl24_99 ),
    inference(backward_demodulation,[],[f732,f717]) ).

fof(f717,plain,
    ( e3 = op(unit,unit)
    | ~ spl24_96 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f716,plain,
    ( spl24_96
  <=> e3 = op(unit,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_96])]) ).

fof(f1562,plain,
    ( ~ spl24_24
    | spl24_175
    | ~ spl24_176 ),
    inference(avatar_contradiction_clause,[],[f1561]) ).

fof(f1561,plain,
    ( $false
    | ~ spl24_24
    | spl24_175
    | ~ spl24_176 ),
    inference(subsumption_resolution,[],[f1560,f372]) ).

fof(f372,plain,
    ( op(e3,e3) = unit
    | ~ spl24_24 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f371,plain,
    ( spl24_24
  <=> op(e3,e3) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_24])]) ).

fof(f1560,plain,
    ( op(e3,e3) != unit
    | spl24_175
    | ~ spl24_176 ),
    inference(forward_demodulation,[],[f1054,f1057]) ).

fof(f1057,plain,
    ( e3 = inv(e3)
    | ~ spl24_176 ),
    inference(avatar_component_clause,[],[f1056]) ).

fof(f1056,plain,
    ( spl24_176
  <=> e3 = inv(e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_176])]) ).

fof(f1054,plain,
    ( unit != op(inv(e3),e3)
    | spl24_175 ),
    inference(avatar_component_clause,[],[f1052]) ).

fof(f1052,plain,
    ( spl24_175
  <=> unit = op(inv(e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_175])]) ).

fof(f1558,plain,
    ( ~ spl24_24
    | spl24_174
    | ~ spl24_176 ),
    inference(avatar_contradiction_clause,[],[f1557]) ).

fof(f1557,plain,
    ( $false
    | ~ spl24_24
    | spl24_174
    | ~ spl24_176 ),
    inference(subsumption_resolution,[],[f1556,f372]) ).

fof(f1556,plain,
    ( op(e3,e3) != unit
    | spl24_174
    | ~ spl24_176 ),
    inference(forward_demodulation,[],[f1050,f1057]) ).

fof(f1050,plain,
    ( unit != op(e3,inv(e3))
    | spl24_174 ),
    inference(avatar_component_clause,[],[f1048]) ).

fof(f1048,plain,
    ( spl24_174
  <=> unit = op(e3,inv(e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_174])]) ).

fof(f1554,plain,
    ( ~ spl24_4
    | ~ spl24_69
    | spl24_173 ),
    inference(avatar_contradiction_clause,[],[f1553]) ).

fof(f1553,plain,
    ( $false
    | ~ spl24_4
    | ~ spl24_69
    | spl24_173 ),
    inference(subsumption_resolution,[],[f1552,f588]) ).

fof(f588,plain,
    ( op(e1,e2) = unit
    | ~ spl24_69 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f587,plain,
    ( spl24_69
  <=> op(e1,e2) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_69])]) ).

fof(f1552,plain,
    ( op(e1,e2) != unit
    | ~ spl24_4
    | spl24_173 ),
    inference(forward_demodulation,[],[f1046,f275]) ).

fof(f275,plain,
    ( e1 = inv(e2)
    | ~ spl24_4 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f274,plain,
    ( spl24_4
  <=> e1 = inv(e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_4])]) ).

fof(f1046,plain,
    ( unit != op(inv(e2),e2)
    | spl24_173 ),
    inference(avatar_component_clause,[],[f1044]) ).

fof(f1044,plain,
    ( spl24_173
  <=> unit = op(inv(e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_173])]) ).

fof(f1550,plain,
    ( ~ spl24_4
    | ~ spl24_54
    | spl24_172 ),
    inference(avatar_contradiction_clause,[],[f1549]) ).

fof(f1549,plain,
    ( $false
    | ~ spl24_4
    | ~ spl24_54
    | spl24_172 ),
    inference(subsumption_resolution,[],[f1548,f516]) ).

fof(f516,plain,
    ( op(e2,e1) = unit
    | ~ spl24_54 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f515,plain,
    ( spl24_54
  <=> op(e2,e1) = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_54])]) ).

fof(f1548,plain,
    ( op(e2,e1) != unit
    | ~ spl24_4
    | spl24_172 ),
    inference(forward_demodulation,[],[f1042,f275]) ).

fof(f1042,plain,
    ( unit != op(e2,inv(e2))
    | spl24_172 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f1040,plain,
    ( spl24_172
  <=> unit = op(e2,inv(e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_172])]) ).

fof(f1546,plain,
    ( ~ spl24_8
    | ~ spl24_54
    | spl24_171 ),
    inference(avatar_contradiction_clause,[],[f1545]) ).

fof(f1545,plain,
    ( $false
    | ~ spl24_8
    | ~ spl24_54
    | spl24_171 ),
    inference(subsumption_resolution,[],[f1544,f516]) ).

fof(f1544,plain,
    ( op(e2,e1) != unit
    | ~ spl24_8
    | spl24_171 ),
    inference(forward_demodulation,[],[f1038,f294]) ).

fof(f294,plain,
    ( e2 = inv(e1)
    | ~ spl24_8 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f293,plain,
    ( spl24_8
  <=> e2 = inv(e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_8])]) ).

fof(f1038,plain,
    ( unit != op(inv(e1),e1)
    | spl24_171 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f1036,plain,
    ( spl24_171
  <=> unit = op(inv(e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_171])]) ).

fof(f1542,plain,
    ( ~ spl24_8
    | ~ spl24_69
    | spl24_170 ),
    inference(avatar_contradiction_clause,[],[f1541]) ).

fof(f1541,plain,
    ( $false
    | ~ spl24_8
    | ~ spl24_69
    | spl24_170 ),
    inference(subsumption_resolution,[],[f1540,f588]) ).

fof(f1540,plain,
    ( op(e1,e2) != unit
    | ~ spl24_8
    | spl24_170 ),
    inference(forward_demodulation,[],[f1034,f294]) ).

fof(f1034,plain,
    ( unit != op(e1,inv(e1))
    | spl24_170 ),
    inference(avatar_component_clause,[],[f1032]) ).

fof(f1032,plain,
    ( spl24_170
  <=> unit = op(e1,inv(e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_170])]) ).

fof(f1538,plain,
    ( ~ spl24_15
    | ~ spl24_99
    | spl24_169 ),
    inference(avatar_contradiction_clause,[],[f1537]) ).

fof(f1537,plain,
    ( $false
    | ~ spl24_15
    | ~ spl24_99
    | spl24_169 ),
    inference(subsumption_resolution,[],[f1536,f732]) ).

fof(f1536,plain,
    ( unit != op(unit,unit)
    | ~ spl24_15
    | spl24_169 ),
    inference(forward_demodulation,[],[f1030,f328]) ).

fof(f328,plain,
    ( unit = inv(unit)
    | ~ spl24_15 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f327,plain,
    ( spl24_15
  <=> unit = inv(unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_15])]) ).

fof(f1030,plain,
    ( unit != op(inv(unit),unit)
    | spl24_169 ),
    inference(avatar_component_clause,[],[f1028]) ).

fof(f1028,plain,
    ( spl24_169
  <=> unit = op(inv(unit),unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_169])]) ).

fof(f1533,plain,
    ( ~ spl24_15
    | ~ spl24_99
    | spl24_168 ),
    inference(avatar_contradiction_clause,[],[f1532]) ).

fof(f1532,plain,
    ( $false
    | ~ spl24_15
    | ~ spl24_99
    | spl24_168 ),
    inference(subsumption_resolution,[],[f1531,f732]) ).

fof(f1531,plain,
    ( unit != op(unit,unit)
    | ~ spl24_15
    | spl24_168 ),
    inference(forward_demodulation,[],[f1026,f328]) ).

fof(f1026,plain,
    ( unit != op(unit,inv(unit))
    | spl24_168 ),
    inference(avatar_component_clause,[],[f1024]) ).

fof(f1024,plain,
    ( spl24_168
  <=> unit = op(unit,inv(unit)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_168])]) ).

fof(f1527,plain,
    ( ~ spl24_24
    | ~ spl24_36
    | ~ spl24_81
    | spl24_167 ),
    inference(avatar_contradiction_clause,[],[f1526]) ).

fof(f1526,plain,
    ( $false
    | ~ spl24_24
    | ~ spl24_36
    | ~ spl24_81
    | spl24_167 ),
    inference(subsumption_resolution,[],[f1525,f645]) ).

fof(f645,plain,
    ( e3 = op(unit,e3)
    | ~ spl24_81 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f644,plain,
    ( spl24_81
  <=> e3 = op(unit,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_81])]) ).

fof(f1525,plain,
    ( e3 != op(unit,e3)
    | ~ spl24_24
    | ~ spl24_36
    | spl24_167 ),
    inference(forward_demodulation,[],[f1524,f429]) ).

fof(f429,plain,
    ( e3 = op(e3,unit)
    | ~ spl24_36 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f428,plain,
    ( spl24_36
  <=> e3 = op(e3,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_36])]) ).

fof(f1524,plain,
    ( op(unit,e3) != op(e3,unit)
    | ~ spl24_24
    | spl24_167 ),
    inference(forward_demodulation,[],[f1022,f372]) ).

fof(f1022,plain,
    ( op(op(e3,e3),e3) != op(e3,op(e3,e3))
    | spl24_167 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f1020,plain,
    ( spl24_167
  <=> op(op(e3,e3),e3) = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_167])]) ).

fof(f1520,plain,
    ( ~ spl24_24
    | ~ spl24_28
    | ~ spl24_32
    | ~ spl24_87
    | spl24_166 ),
    inference(avatar_contradiction_clause,[],[f1519]) ).

fof(f1519,plain,
    ( $false
    | ~ spl24_24
    | ~ spl24_28
    | ~ spl24_32
    | ~ spl24_87
    | spl24_166 ),
    inference(subsumption_resolution,[],[f1518,f410]) ).

fof(f410,plain,
    ( e2 = op(e3,e1)
    | ~ spl24_32 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f409,plain,
    ( spl24_32
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_32])]) ).

fof(f1518,plain,
    ( e2 != op(e3,e1)
    | ~ spl24_24
    | ~ spl24_28
    | ~ spl24_87
    | spl24_166 ),
    inference(forward_demodulation,[],[f1517,f674]) ).

fof(f674,plain,
    ( e2 = op(unit,e2)
    | ~ spl24_87 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f673,plain,
    ( spl24_87
  <=> e2 = op(unit,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_87])]) ).

fof(f1517,plain,
    ( op(e3,e1) != op(unit,e2)
    | ~ spl24_24
    | ~ spl24_28
    | spl24_166 ),
    inference(forward_demodulation,[],[f1516,f372]) ).

fof(f1516,plain,
    ( op(e3,e1) != op(op(e3,e3),e2)
    | ~ spl24_28
    | spl24_166 ),
    inference(forward_demodulation,[],[f1018,f391]) ).

fof(f391,plain,
    ( e1 = op(e3,e2)
    | ~ spl24_28 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f390,plain,
    ( spl24_28
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_28])]) ).

fof(f1018,plain,
    ( op(op(e3,e3),e2) != op(e3,op(e3,e2))
    | spl24_166 ),
    inference(avatar_component_clause,[],[f1016]) ).

fof(f1016,plain,
    ( spl24_166
  <=> op(op(e3,e3),e2) = op(e3,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_166])]) ).

fof(f1513,plain,
    ( ~ spl24_24
    | ~ spl24_28
    | ~ spl24_32
    | ~ spl24_93
    | spl24_165 ),
    inference(avatar_contradiction_clause,[],[f1512]) ).

fof(f1512,plain,
    ( $false
    | ~ spl24_24
    | ~ spl24_28
    | ~ spl24_32
    | ~ spl24_93
    | spl24_165 ),
    inference(subsumption_resolution,[],[f1511,f391]) ).

fof(f1511,plain,
    ( e1 != op(e3,e2)
    | ~ spl24_24
    | ~ spl24_32
    | ~ spl24_93
    | spl24_165 ),
    inference(forward_demodulation,[],[f1510,f703]) ).

fof(f703,plain,
    ( e1 = op(unit,e1)
    | ~ spl24_93 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f702,plain,
    ( spl24_93
  <=> e1 = op(unit,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_93])]) ).

fof(f1510,plain,
    ( op(e3,e2) != op(unit,e1)
    | ~ spl24_24
    | ~ spl24_32
    | spl24_165 ),
    inference(forward_demodulation,[],[f1509,f372]) ).

fof(f1509,plain,
    ( op(e3,e2) != op(op(e3,e3),e1)
    | ~ spl24_32
    | spl24_165 ),
    inference(forward_demodulation,[],[f1014,f410]) ).

fof(f1014,plain,
    ( op(op(e3,e3),e1) != op(e3,op(e3,e1))
    | spl24_165 ),
    inference(avatar_component_clause,[],[f1012]) ).

fof(f1012,plain,
    ( spl24_165
  <=> op(op(e3,e3),e1) = op(e3,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_165])]) ).

fof(f1505,plain,
    ( ~ spl24_24
    | ~ spl24_36
    | ~ spl24_99
    | spl24_164 ),
    inference(avatar_contradiction_clause,[],[f1504]) ).

fof(f1504,plain,
    ( $false
    | ~ spl24_24
    | ~ spl24_36
    | ~ spl24_99
    | spl24_164 ),
    inference(subsumption_resolution,[],[f1503,f732]) ).

fof(f1503,plain,
    ( unit != op(unit,unit)
    | ~ spl24_24
    | ~ spl24_36
    | spl24_164 ),
    inference(forward_demodulation,[],[f1502,f372]) ).

fof(f1502,plain,
    ( op(e3,e3) != op(op(e3,e3),unit)
    | ~ spl24_36
    | spl24_164 ),
    inference(forward_demodulation,[],[f1010,f429]) ).

fof(f1010,plain,
    ( op(op(e3,e3),unit) != op(e3,op(e3,unit))
    | spl24_164 ),
    inference(avatar_component_clause,[],[f1008]) ).

fof(f1008,plain,
    ( spl24_164
  <=> op(op(e3,e3),unit) = op(e3,op(e3,unit)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_164])]) ).

fof(f1498,plain,
    ( ~ spl24_28
    | ~ spl24_32
    | ~ spl24_43
    | ~ spl24_62
    | spl24_163 ),
    inference(avatar_contradiction_clause,[],[f1497]) ).

fof(f1497,plain,
    ( $false
    | ~ spl24_28
    | ~ spl24_32
    | ~ spl24_43
    | ~ spl24_62
    | spl24_163 ),
    inference(subsumption_resolution,[],[f1496,f554]) ).

fof(f554,plain,
    ( e2 = op(e1,e3)
    | ~ spl24_62 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f553,plain,
    ( spl24_62
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_62])]) ).

fof(f1496,plain,
    ( e2 != op(e1,e3)
    | ~ spl24_28
    | ~ spl24_32
    | ~ spl24_43
    | spl24_163 ),
    inference(forward_demodulation,[],[f1495,f410]) ).

fof(f1495,plain,
    ( op(e1,e3) != op(e3,e1)
    | ~ spl24_28
    | ~ spl24_43
    | spl24_163 ),
    inference(forward_demodulation,[],[f1494,f391]) ).

fof(f1494,plain,
    ( op(e3,e1) != op(op(e3,e2),e3)
    | ~ spl24_43
    | spl24_163 ),
    inference(forward_demodulation,[],[f1006,f463]) ).

fof(f463,plain,
    ( e1 = op(e2,e3)
    | ~ spl24_43 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f462,plain,
    ( spl24_43
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_43])]) ).

fof(f1006,plain,
    ( op(op(e3,e2),e3) != op(e3,op(e2,e3))
    | spl24_163 ),
    inference(avatar_component_clause,[],[f1004]) ).

fof(f1004,plain,
    ( spl24_163
  <=> op(op(e3,e2),e3) = op(e3,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_163])]) ).

fof(f1490,plain,
    ( ~ spl24_24
    | ~ spl24_28
    | ~ spl24_46
    | ~ spl24_69
    | spl24_162 ),
    inference(avatar_contradiction_clause,[],[f1489]) ).

fof(f1489,plain,
    ( $false
    | ~ spl24_24
    | ~ spl24_28
    | ~ spl24_46
    | ~ spl24_69
    | spl24_162 ),
    inference(subsumption_resolution,[],[f1488,f588]) ).

fof(f1488,plain,
    ( op(e1,e2) != unit
    | ~ spl24_24
    | ~ spl24_28
    | ~ spl24_46
    | spl24_162 ),
    inference(forward_demodulation,[],[f1487,f372]) ).

fof(f1487,plain,
    ( op(e1,e2) != op(e3,e3)
    | ~ spl24_28
    | ~ spl24_46
    | spl24_162 ),
    inference(forward_demodulation,[],[f1486,f391]) ).

fof(f1486,plain,
    ( op(e3,e3) != op(op(e3,e2),e2)
    | ~ spl24_46
    | spl24_162 ),
    inference(forward_demodulation,[],[f1002,f477]) ).

fof(f477,plain,
    ( e3 = op(e2,e2)
    | ~ spl24_46 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f476,plain,
    ( spl24_46
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_46])]) ).

fof(f1002,plain,
    ( op(op(e3,e2),e2) != op(e3,op(e2,e2))
    | spl24_162 ),
    inference(avatar_component_clause,[],[f1000]) ).

fof(f1000,plain,
    ( spl24_162
  <=> op(op(e3,e2),e2) = op(e3,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_162])]) ).

fof(f1483,plain,
    ( ~ spl24_28
    | ~ spl24_36
    | ~ spl24_54
    | ~ spl24_71
    | spl24_161 ),
    inference(avatar_contradiction_clause,[],[f1482]) ).

fof(f1482,plain,
    ( $false
    | ~ spl24_28
    | ~ spl24_36
    | ~ spl24_54
    | ~ spl24_71
    | spl24_161 ),
    inference(subsumption_resolution,[],[f1481,f597]) ).

fof(f1481,plain,
    ( e3 != op(e1,e1)
    | ~ spl24_28
    | ~ spl24_36
    | ~ spl24_54
    | spl24_161 ),
    inference(forward_demodulation,[],[f1480,f391]) ).

fof(f1480,plain,
    ( e3 != op(op(e3,e2),e1)
    | ~ spl24_36
    | ~ spl24_54
    | spl24_161 ),
    inference(forward_demodulation,[],[f1479,f429]) ).

fof(f1479,plain,
    ( op(op(e3,e2),e1) != op(e3,unit)
    | ~ spl24_54
    | spl24_161 ),
    inference(forward_demodulation,[],[f998,f516]) ).

fof(f998,plain,
    ( op(op(e3,e2),e1) != op(e3,op(e2,e1))
    | spl24_161 ),
    inference(avatar_component_clause,[],[f996]) ).

fof(f996,plain,
    ( spl24_161
  <=> op(op(e3,e2),e1) = op(e3,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_161])]) ).

fof(f1475,plain,
    ( ~ spl24_28
    | ~ spl24_57
    | ~ spl24_78
    | spl24_160 ),
    inference(avatar_contradiction_clause,[],[f1474]) ).

fof(f1474,plain,
    ( $false
    | ~ spl24_28
    | ~ spl24_57
    | ~ spl24_78
    | spl24_160 ),
    inference(subsumption_resolution,[],[f1473,f631]) ).

fof(f631,plain,
    ( e1 = op(e1,unit)
    | ~ spl24_78 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f630,plain,
    ( spl24_78
  <=> e1 = op(e1,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_78])]) ).

fof(f1473,plain,
    ( e1 != op(e1,unit)
    | ~ spl24_28
    | ~ spl24_57
    | spl24_160 ),
    inference(forward_demodulation,[],[f1472,f391]) ).

fof(f1472,plain,
    ( op(e3,e2) != op(op(e3,e2),unit)
    | ~ spl24_57
    | spl24_160 ),
    inference(forward_demodulation,[],[f994,f530]) ).

fof(f530,plain,
    ( e2 = op(e2,unit)
    | ~ spl24_57 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f529,plain,
    ( spl24_57
  <=> e2 = op(e2,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_57])]) ).

fof(f994,plain,
    ( op(op(e3,e2),unit) != op(e3,op(e2,unit))
    | spl24_160 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f992,plain,
    ( spl24_160
  <=> op(op(e3,e2),unit) = op(e3,op(e2,unit)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_160])]) ).

fof(f1468,plain,
    ( ~ spl24_28
    | ~ spl24_32
    | ~ spl24_43
    | ~ spl24_62
    | spl24_159 ),
    inference(avatar_contradiction_clause,[],[f1467]) ).

fof(f1467,plain,
    ( $false
    | ~ spl24_28
    | ~ spl24_32
    | ~ spl24_43
    | ~ spl24_62
    | spl24_159 ),
    inference(subsumption_resolution,[],[f1466,f463]) ).

fof(f1466,plain,
    ( e1 != op(e2,e3)
    | ~ spl24_28
    | ~ spl24_32
    | ~ spl24_62
    | spl24_159 ),
    inference(forward_demodulation,[],[f1465,f391]) ).

fof(f1465,plain,
    ( op(e2,e3) != op(e3,e2)
    | ~ spl24_32
    | ~ spl24_62
    | spl24_159 ),
    inference(forward_demodulation,[],[f1464,f410]) ).

fof(f1464,plain,
    ( op(e3,e2) != op(op(e3,e1),e3)
    | ~ spl24_62
    | spl24_159 ),
    inference(forward_demodulation,[],[f990,f554]) ).

fof(f990,plain,
    ( op(op(e3,e1),e3) != op(e3,op(e1,e3))
    | spl24_159 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f988,plain,
    ( spl24_159
  <=> op(op(e3,e1),e3) = op(e3,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_159])]) ).

fof(f1460,plain,
    ( ~ spl24_32
    | ~ spl24_36
    | ~ spl24_46
    | ~ spl24_69
    | spl24_158 ),
    inference(avatar_contradiction_clause,[],[f1459]) ).

fof(f1459,plain,
    ( $false
    | ~ spl24_32
    | ~ spl24_36
    | ~ spl24_46
    | ~ spl24_69
    | spl24_158 ),
    inference(subsumption_resolution,[],[f1458,f477]) ).

fof(f1458,plain,
    ( e3 != op(e2,e2)
    | ~ spl24_32
    | ~ spl24_36
    | ~ spl24_69
    | spl24_158 ),
    inference(forward_demodulation,[],[f1457,f410]) ).

fof(f1457,plain,
    ( e3 != op(op(e3,e1),e2)
    | ~ spl24_36
    | ~ spl24_69
    | spl24_158 ),
    inference(forward_demodulation,[],[f1456,f429]) ).

fof(f1456,plain,
    ( op(op(e3,e1),e2) != op(e3,unit)
    | ~ spl24_69
    | spl24_158 ),
    inference(forward_demodulation,[],[f986,f588]) ).

fof(f986,plain,
    ( op(op(e3,e1),e2) != op(e3,op(e1,e2))
    | spl24_158 ),
    inference(avatar_component_clause,[],[f984]) ).

fof(f984,plain,
    ( spl24_158
  <=> op(op(e3,e1),e2) = op(e3,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_158])]) ).

fof(f1453,plain,
    ( ~ spl24_24
    | ~ spl24_32
    | ~ spl24_54
    | ~ spl24_71
    | spl24_157 ),
    inference(avatar_contradiction_clause,[],[f1452]) ).

fof(f1452,plain,
    ( $false
    | ~ spl24_24
    | ~ spl24_32
    | ~ spl24_54
    | ~ spl24_71
    | spl24_157 ),
    inference(subsumption_resolution,[],[f1451,f516]) ).

fof(f1451,plain,
    ( op(e2,e1) != unit
    | ~ spl24_24
    | ~ spl24_32
    | ~ spl24_71
    | spl24_157 ),
    inference(forward_demodulation,[],[f1450,f372]) ).

fof(f1450,plain,
    ( op(e2,e1) != op(e3,e3)
    | ~ spl24_32
    | ~ spl24_71
    | spl24_157 ),
    inference(forward_demodulation,[],[f1449,f410]) ).

fof(f1449,plain,
    ( op(e3,e3) != op(op(e3,e1),e1)
    | ~ spl24_71
    | spl24_157 ),
    inference(forward_demodulation,[],[f982,f597]) ).

fof(f982,plain,
    ( op(op(e3,e1),e1) != op(e3,op(e1,e1))
    | spl24_157 ),
    inference(avatar_component_clause,[],[f980]) ).

fof(f980,plain,
    ( spl24_157
  <=> op(op(e3,e1),e1) = op(e3,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_157])]) ).

fof(f1447,plain,
    ( ~ spl24_32
    | ~ spl24_57
    | ~ spl24_78
    | spl24_156 ),
    inference(avatar_contradiction_clause,[],[f1446]) ).

fof(f1446,plain,
    ( $false
    | ~ spl24_32
    | ~ spl24_57
    | ~ spl24_78
    | spl24_156 ),
    inference(subsumption_resolution,[],[f1445,f530]) ).

fof(f1445,plain,
    ( e2 != op(e2,unit)
    | ~ spl24_32
    | ~ spl24_78
    | spl24_156 ),
    inference(forward_demodulation,[],[f1444,f410]) ).

fof(f1444,plain,
    ( op(e3,e1) != op(op(e3,e1),unit)
    | ~ spl24_78
    | spl24_156 ),
    inference(forward_demodulation,[],[f978,f631]) ).

fof(f978,plain,
    ( op(op(e3,e1),unit) != op(e3,op(e1,unit))
    | spl24_156 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f976,plain,
    ( spl24_156
  <=> op(op(e3,e1),unit) = op(e3,op(e1,unit)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_156])]) ).

fof(f1442,plain,
    ( ~ spl24_36
    | ~ spl24_81
    | spl24_155 ),
    inference(avatar_contradiction_clause,[],[f1441]) ).

fof(f1441,plain,
    ( $false
    | ~ spl24_36
    | ~ spl24_81
    | spl24_155 ),
    inference(trivial_inequality_removal,[],[f1440]) ).

fof(f1440,plain,
    ( op(e3,e3) != op(e3,e3)
    | ~ spl24_36
    | ~ spl24_81
    | spl24_155 ),
    inference(forward_demodulation,[],[f1439,f429]) ).

fof(f1439,plain,
    ( op(e3,e3) != op(op(e3,unit),e3)
    | ~ spl24_81
    | spl24_155 ),
    inference(forward_demodulation,[],[f974,f645]) ).

fof(f974,plain,
    ( op(op(e3,unit),e3) != op(e3,op(unit,e3))
    | spl24_155 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f972,plain,
    ( spl24_155
  <=> op(op(e3,unit),e3) = op(e3,op(unit,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_155])]) ).

fof(f1437,plain,
    ( ~ spl24_36
    | ~ spl24_87
    | spl24_154 ),
    inference(avatar_contradiction_clause,[],[f1436]) ).

fof(f1436,plain,
    ( $false
    | ~ spl24_36
    | ~ spl24_87
    | spl24_154 ),
    inference(trivial_inequality_removal,[],[f1435]) ).

fof(f1435,plain,
    ( op(e3,e2) != op(e3,e2)
    | ~ spl24_36
    | ~ spl24_87
    | spl24_154 ),
    inference(forward_demodulation,[],[f1434,f429]) ).

fof(f1434,plain,
    ( op(e3,e2) != op(op(e3,unit),e2)
    | ~ spl24_87
    | spl24_154 ),
    inference(forward_demodulation,[],[f970,f674]) ).

fof(f970,plain,
    ( op(op(e3,unit),e2) != op(e3,op(unit,e2))
    | spl24_154 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f968,plain,
    ( spl24_154
  <=> op(op(e3,unit),e2) = op(e3,op(unit,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_154])]) ).

fof(f1431,plain,
    ( ~ spl24_36
    | ~ spl24_93
    | spl24_153 ),
    inference(avatar_contradiction_clause,[],[f1430]) ).

fof(f1430,plain,
    ( $false
    | ~ spl24_36
    | ~ spl24_93
    | spl24_153 ),
    inference(trivial_inequality_removal,[],[f1429]) ).

fof(f1429,plain,
    ( op(e3,e1) != op(e3,e1)
    | ~ spl24_36
    | ~ spl24_93
    | spl24_153 ),
    inference(forward_demodulation,[],[f1428,f429]) ).

fof(f1428,plain,
    ( op(e3,e1) != op(op(e3,unit),e1)
    | ~ spl24_93
    | spl24_153 ),
    inference(forward_demodulation,[],[f966,f703]) ).

fof(f966,plain,
    ( op(op(e3,unit),e1) != op(e3,op(unit,e1))
    | spl24_153 ),
    inference(avatar_component_clause,[],[f964]) ).

fof(f964,plain,
    ( spl24_153
  <=> op(op(e3,unit),e1) = op(e3,op(unit,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_153])]) ).

fof(f1424,plain,
    ( ~ spl24_36
    | ~ spl24_99
    | spl24_152 ),
    inference(avatar_contradiction_clause,[],[f1423]) ).

fof(f1423,plain,
    ( $false
    | ~ spl24_36
    | ~ spl24_99
    | spl24_152 ),
    inference(subsumption_resolution,[],[f1422,f429]) ).

fof(f1422,plain,
    ( e3 != op(e3,unit)
    | ~ spl24_36
    | ~ spl24_99
    | spl24_152 ),
    inference(forward_demodulation,[],[f1421,f429]) ).

fof(f1421,plain,
    ( op(e3,unit) != op(op(e3,unit),unit)
    | ~ spl24_99
    | spl24_152 ),
    inference(forward_demodulation,[],[f962,f732]) ).

fof(f962,plain,
    ( op(op(e3,unit),unit) != op(e3,op(unit,unit))
    | spl24_152 ),
    inference(avatar_component_clause,[],[f960]) ).

fof(f960,plain,
    ( spl24_152
  <=> op(op(e3,unit),unit) = op(e3,op(unit,unit)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_152])]) ).

fof(f1417,plain,
    ( ~ spl24_24
    | ~ spl24_43
    | ~ spl24_57
    | ~ spl24_62
    | spl24_151 ),
    inference(avatar_contradiction_clause,[],[f1416]) ).

fof(f1416,plain,
    ( $false
    | ~ spl24_24
    | ~ spl24_43
    | ~ spl24_57
    | ~ spl24_62
    | spl24_151 ),
    inference(subsumption_resolution,[],[f1415,f554]) ).

fof(f1415,plain,
    ( e2 != op(e1,e3)
    | ~ spl24_24
    | ~ spl24_43
    | ~ spl24_57
    | spl24_151 ),
    inference(forward_demodulation,[],[f1414,f463]) ).

fof(f1414,plain,
    ( e2 != op(op(e2,e3),e3)
    | ~ spl24_24
    | ~ spl24_57
    | spl24_151 ),
    inference(forward_demodulation,[],[f1413,f530]) ).

fof(f1413,plain,
    ( op(op(e2,e3),e3) != op(e2,unit)
    | ~ spl24_24
    | spl24_151 ),
    inference(forward_demodulation,[],[f958,f372]) ).

fof(f958,plain,
    ( op(op(e2,e3),e3) != op(e2,op(e3,e3))
    | spl24_151 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f956,plain,
    ( spl24_151
  <=> op(op(e2,e3),e3) = op(e2,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_151])]) ).

fof(f1409,plain,
    ( ~ spl24_28
    | ~ spl24_43
    | ~ spl24_54
    | ~ spl24_69
    | spl24_150 ),
    inference(avatar_contradiction_clause,[],[f1408]) ).

fof(f1408,plain,
    ( $false
    | ~ spl24_28
    | ~ spl24_43
    | ~ spl24_54
    | ~ spl24_69
    | spl24_150 ),
    inference(subsumption_resolution,[],[f1407,f588]) ).

fof(f1407,plain,
    ( op(e1,e2) != unit
    | ~ spl24_28
    | ~ spl24_43
    | ~ spl24_54
    | spl24_150 ),
    inference(forward_demodulation,[],[f1406,f516]) ).

fof(f1406,plain,
    ( op(e1,e2) != op(e2,e1)
    | ~ spl24_28
    | ~ spl24_43
    | spl24_150 ),
    inference(forward_demodulation,[],[f1405,f463]) ).

fof(f1405,plain,
    ( op(e2,e1) != op(op(e2,e3),e2)
    | ~ spl24_28
    | spl24_150 ),
    inference(forward_demodulation,[],[f954,f391]) ).

fof(f954,plain,
    ( op(op(e2,e3),e2) != op(e2,op(e3,e2))
    | spl24_150 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f952,plain,
    ( spl24_150
  <=> op(op(e2,e3),e2) = op(e2,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_150])]) ).

fof(f1402,plain,
    ( ~ spl24_32
    | ~ spl24_43
    | ~ spl24_46
    | ~ spl24_71
    | spl24_149 ),
    inference(avatar_contradiction_clause,[],[f1401]) ).

fof(f1401,plain,
    ( $false
    | ~ spl24_32
    | ~ spl24_43
    | ~ spl24_46
    | ~ spl24_71
    | spl24_149 ),
    inference(subsumption_resolution,[],[f1400,f597]) ).

fof(f1400,plain,
    ( e3 != op(e1,e1)
    | ~ spl24_32
    | ~ spl24_43
    | ~ spl24_46
    | spl24_149 ),
    inference(forward_demodulation,[],[f1399,f477]) ).

fof(f1399,plain,
    ( op(e1,e1) != op(e2,e2)
    | ~ spl24_32
    | ~ spl24_43
    | spl24_149 ),
    inference(forward_demodulation,[],[f1398,f463]) ).

fof(f1398,plain,
    ( op(e2,e2) != op(op(e2,e3),e1)
    | ~ spl24_32
    | spl24_149 ),
    inference(forward_demodulation,[],[f950,f410]) ).

fof(f950,plain,
    ( op(op(e2,e3),e1) != op(e2,op(e3,e1))
    | spl24_149 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f948,plain,
    ( spl24_149
  <=> op(op(e2,e3),e1) = op(e2,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_149])]) ).

fof(f1394,plain,
    ( ~ spl24_36
    | ~ spl24_43
    | ~ spl24_78
    | spl24_148 ),
    inference(avatar_contradiction_clause,[],[f1393]) ).

fof(f1393,plain,
    ( $false
    | ~ spl24_36
    | ~ spl24_43
    | ~ spl24_78
    | spl24_148 ),
    inference(subsumption_resolution,[],[f1392,f631]) ).

fof(f1392,plain,
    ( e1 != op(e1,unit)
    | ~ spl24_36
    | ~ spl24_43
    | spl24_148 ),
    inference(forward_demodulation,[],[f1391,f463]) ).

fof(f1391,plain,
    ( op(e2,e3) != op(op(e2,e3),unit)
    | ~ spl24_36
    | spl24_148 ),
    inference(forward_demodulation,[],[f946,f429]) ).

fof(f946,plain,
    ( op(op(e2,e3),unit) != op(e2,op(e3,unit))
    | spl24_148 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f944,plain,
    ( spl24_148
  <=> op(op(e2,e3),unit) = op(e2,op(e3,unit)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_148])]) ).

fof(f1388,plain,
    ( ~ spl24_24
    | ~ spl24_43
    | ~ spl24_46
    | ~ spl24_54
    | spl24_147 ),
    inference(avatar_contradiction_clause,[],[f1387]) ).

fof(f1387,plain,
    ( $false
    | ~ spl24_24
    | ~ spl24_43
    | ~ spl24_46
    | ~ spl24_54
    | spl24_147 ),
    inference(subsumption_resolution,[],[f1386,f516]) ).

fof(f1386,plain,
    ( op(e2,e1) != unit
    | ~ spl24_24
    | ~ spl24_43
    | ~ spl24_46
    | spl24_147 ),
    inference(forward_demodulation,[],[f1385,f372]) ).

fof(f1385,plain,
    ( op(e2,e1) != op(e3,e3)
    | ~ spl24_43
    | ~ spl24_46
    | spl24_147 ),
    inference(forward_demodulation,[],[f1384,f477]) ).

fof(f1384,plain,
    ( op(e2,e1) != op(op(e2,e2),e3)
    | ~ spl24_43
    | spl24_147 ),
    inference(forward_demodulation,[],[f942,f463]) ).

fof(f942,plain,
    ( op(op(e2,e2),e3) != op(e2,op(e2,e3))
    | spl24_147 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f940,plain,
    ( spl24_147
  <=> op(op(e2,e2),e3) = op(e2,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_147])]) ).

fof(f1380,plain,
    ( ~ spl24_28
    | ~ spl24_43
    | ~ spl24_46
    | spl24_146 ),
    inference(avatar_contradiction_clause,[],[f1379]) ).

fof(f1379,plain,
    ( $false
    | ~ spl24_28
    | ~ spl24_43
    | ~ spl24_46
    | spl24_146 ),
    inference(subsumption_resolution,[],[f1378,f463]) ).

fof(f1378,plain,
    ( e1 != op(e2,e3)
    | ~ spl24_28
    | ~ spl24_46
    | spl24_146 ),
    inference(forward_demodulation,[],[f1377,f391]) ).

fof(f1377,plain,
    ( op(e2,e3) != op(e3,e2)
    | ~ spl24_46
    | spl24_146 ),
    inference(forward_demodulation,[],[f938,f477]) ).

fof(f938,plain,
    ( op(op(e2,e2),e2) != op(e2,op(e2,e2))
    | spl24_146 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f936,plain,
    ( spl24_146
  <=> op(op(e2,e2),e2) = op(e2,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_146])]) ).

fof(f1374,plain,
    ( ~ spl24_32
    | ~ spl24_46
    | ~ spl24_54
    | ~ spl24_57
    | spl24_145 ),
    inference(avatar_contradiction_clause,[],[f1373]) ).

fof(f1373,plain,
    ( $false
    | ~ spl24_32
    | ~ spl24_46
    | ~ spl24_54
    | ~ spl24_57
    | spl24_145 ),
    inference(subsumption_resolution,[],[f1372,f410]) ).

fof(f1372,plain,
    ( e2 != op(e3,e1)
    | ~ spl24_46
    | ~ spl24_54
    | ~ spl24_57
    | spl24_145 ),
    inference(forward_demodulation,[],[f1371,f477]) ).

fof(f1371,plain,
    ( e2 != op(op(e2,e2),e1)
    | ~ spl24_54
    | ~ spl24_57
    | spl24_145 ),
    inference(forward_demodulation,[],[f1370,f530]) ).

fof(f1370,plain,
    ( op(op(e2,e2),e1) != op(e2,unit)
    | ~ spl24_54
    | spl24_145 ),
    inference(forward_demodulation,[],[f934,f516]) ).

fof(f934,plain,
    ( op(op(e2,e2),e1) != op(e2,op(e2,e1))
    | spl24_145 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f932,plain,
    ( spl24_145
  <=> op(op(e2,e2),e1) = op(e2,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_145])]) ).

fof(f1366,plain,
    ( ~ spl24_36
    | ~ spl24_46
    | ~ spl24_57
    | spl24_144 ),
    inference(avatar_contradiction_clause,[],[f1365]) ).

fof(f1365,plain,
    ( $false
    | ~ spl24_36
    | ~ spl24_46
    | ~ spl24_57
    | spl24_144 ),
    inference(subsumption_resolution,[],[f1364,f429]) ).

fof(f1364,plain,
    ( e3 != op(e3,unit)
    | ~ spl24_46
    | ~ spl24_57
    | spl24_144 ),
    inference(forward_demodulation,[],[f1363,f477]) ).

fof(f1363,plain,
    ( op(e2,e2) != op(op(e2,e2),unit)
    | ~ spl24_57
    | spl24_144 ),
    inference(forward_demodulation,[],[f930,f530]) ).

fof(f930,plain,
    ( op(op(e2,e2),unit) != op(e2,op(e2,unit))
    | spl24_144 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f928,plain,
    ( spl24_144
  <=> op(op(e2,e2),unit) = op(e2,op(e2,unit)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_144])]) ).

fof(f1359,plain,
    ( ~ spl24_46
    | ~ spl24_54
    | ~ spl24_62
    | ~ spl24_81
    | spl24_143 ),
    inference(avatar_contradiction_clause,[],[f1358]) ).

fof(f1358,plain,
    ( $false
    | ~ spl24_46
    | ~ spl24_54
    | ~ spl24_62
    | ~ spl24_81
    | spl24_143 ),
    inference(subsumption_resolution,[],[f1357,f477]) ).

fof(f1357,plain,
    ( e3 != op(e2,e2)
    | ~ spl24_54
    | ~ spl24_62
    | ~ spl24_81
    | spl24_143 ),
    inference(forward_demodulation,[],[f1356,f645]) ).

fof(f1356,plain,
    ( op(e2,e2) != op(unit,e3)
    | ~ spl24_54
    | ~ spl24_62
    | spl24_143 ),
    inference(forward_demodulation,[],[f1355,f516]) ).

fof(f1355,plain,
    ( op(e2,e2) != op(op(e2,e1),e3)
    | ~ spl24_62
    | spl24_143 ),
    inference(forward_demodulation,[],[f926,f554]) ).

fof(f926,plain,
    ( op(op(e2,e1),e3) != op(e2,op(e1,e3))
    | spl24_143 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f924,plain,
    ( spl24_143
  <=> op(op(e2,e1),e3) = op(e2,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_143])]) ).

fof(f1351,plain,
    ( ~ spl24_54
    | ~ spl24_57
    | ~ spl24_69
    | ~ spl24_87
    | spl24_142 ),
    inference(avatar_contradiction_clause,[],[f1350]) ).

fof(f1350,plain,
    ( $false
    | ~ spl24_54
    | ~ spl24_57
    | ~ spl24_69
    | ~ spl24_87
    | spl24_142 ),
    inference(subsumption_resolution,[],[f1349,f674]) ).

fof(f1349,plain,
    ( e2 != op(unit,e2)
    | ~ spl24_54
    | ~ spl24_57
    | ~ spl24_69
    | spl24_142 ),
    inference(forward_demodulation,[],[f1348,f516]) ).

fof(f1348,plain,
    ( e2 != op(op(e2,e1),e2)
    | ~ spl24_57
    | ~ spl24_69
    | spl24_142 ),
    inference(forward_demodulation,[],[f1347,f530]) ).

fof(f1347,plain,
    ( op(op(e2,e1),e2) != op(e2,unit)
    | ~ spl24_69
    | spl24_142 ),
    inference(forward_demodulation,[],[f922,f588]) ).

fof(f922,plain,
    ( op(op(e2,e1),e2) != op(e2,op(e1,e2))
    | spl24_142 ),
    inference(avatar_component_clause,[],[f920]) ).

fof(f920,plain,
    ( spl24_142
  <=> op(op(e2,e1),e2) = op(e2,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_142])]) ).

fof(f1344,plain,
    ( ~ spl24_43
    | ~ spl24_54
    | ~ spl24_71
    | ~ spl24_93
    | spl24_141 ),
    inference(avatar_contradiction_clause,[],[f1343]) ).

fof(f1343,plain,
    ( $false
    | ~ spl24_43
    | ~ spl24_54
    | ~ spl24_71
    | ~ spl24_93
    | spl24_141 ),
    inference(subsumption_resolution,[],[f1342,f463]) ).

fof(f1342,plain,
    ( e1 != op(e2,e3)
    | ~ spl24_54
    | ~ spl24_71
    | ~ spl24_93
    | spl24_141 ),
    inference(forward_demodulation,[],[f1341,f703]) ).

fof(f1341,plain,
    ( op(e2,e3) != op(unit,e1)
    | ~ spl24_54
    | ~ spl24_71
    | spl24_141 ),
    inference(forward_demodulation,[],[f1340,f516]) ).

fof(f1340,plain,
    ( op(e2,e3) != op(op(e2,e1),e1)
    | ~ spl24_71
    | spl24_141 ),
    inference(forward_demodulation,[],[f918,f597]) ).

fof(f918,plain,
    ( op(op(e2,e1),e1) != op(e2,op(e1,e1))
    | spl24_141 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f916,plain,
    ( spl24_141
  <=> op(op(e2,e1),e1) = op(e2,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_141])]) ).

fof(f1338,plain,
    ( ~ spl24_54
    | ~ spl24_78
    | ~ spl24_99
    | spl24_140 ),
    inference(avatar_contradiction_clause,[],[f1337]) ).

fof(f1337,plain,
    ( $false
    | ~ spl24_54
    | ~ spl24_78
    | ~ spl24_99
    | spl24_140 ),
    inference(subsumption_resolution,[],[f1336,f732]) ).

fof(f1336,plain,
    ( unit != op(unit,unit)
    | ~ spl24_54
    | ~ spl24_78
    | spl24_140 ),
    inference(forward_demodulation,[],[f1335,f516]) ).

fof(f1335,plain,
    ( op(e2,e1) != op(op(e2,e1),unit)
    | ~ spl24_78
    | spl24_140 ),
    inference(forward_demodulation,[],[f914,f631]) ).

fof(f914,plain,
    ( op(op(e2,e1),unit) != op(e2,op(e1,unit))
    | spl24_140 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f912,plain,
    ( spl24_140
  <=> op(op(e2,e1),unit) = op(e2,op(e1,unit)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_140])]) ).

fof(f1333,plain,
    ( ~ spl24_57
    | ~ spl24_81
    | spl24_139 ),
    inference(avatar_contradiction_clause,[],[f1332]) ).

fof(f1332,plain,
    ( $false
    | ~ spl24_57
    | ~ spl24_81
    | spl24_139 ),
    inference(trivial_inequality_removal,[],[f1331]) ).

fof(f1331,plain,
    ( op(e2,e3) != op(e2,e3)
    | ~ spl24_57
    | ~ spl24_81
    | spl24_139 ),
    inference(forward_demodulation,[],[f1330,f530]) ).

fof(f1330,plain,
    ( op(e2,e3) != op(op(e2,unit),e3)
    | ~ spl24_81
    | spl24_139 ),
    inference(forward_demodulation,[],[f910,f645]) ).

fof(f910,plain,
    ( op(op(e2,unit),e3) != op(e2,op(unit,e3))
    | spl24_139 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f908,plain,
    ( spl24_139
  <=> op(op(e2,unit),e3) = op(e2,op(unit,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_139])]) ).

fof(f1328,plain,
    ( ~ spl24_57
    | ~ spl24_87
    | spl24_138 ),
    inference(avatar_contradiction_clause,[],[f1327]) ).

fof(f1327,plain,
    ( $false
    | ~ spl24_57
    | ~ spl24_87
    | spl24_138 ),
    inference(trivial_inequality_removal,[],[f1326]) ).

fof(f1326,plain,
    ( op(e2,e2) != op(e2,e2)
    | ~ spl24_57
    | ~ spl24_87
    | spl24_138 ),
    inference(forward_demodulation,[],[f1325,f530]) ).

fof(f1325,plain,
    ( op(e2,e2) != op(op(e2,unit),e2)
    | ~ spl24_87
    | spl24_138 ),
    inference(forward_demodulation,[],[f906,f674]) ).

fof(f906,plain,
    ( op(op(e2,unit),e2) != op(e2,op(unit,e2))
    | spl24_138 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f904,plain,
    ( spl24_138
  <=> op(op(e2,unit),e2) = op(e2,op(unit,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_138])]) ).

fof(f1322,plain,
    ( ~ spl24_57
    | ~ spl24_93
    | spl24_137 ),
    inference(avatar_contradiction_clause,[],[f1321]) ).

fof(f1321,plain,
    ( $false
    | ~ spl24_57
    | ~ spl24_93
    | spl24_137 ),
    inference(trivial_inequality_removal,[],[f1320]) ).

fof(f1320,plain,
    ( op(e2,e1) != op(e2,e1)
    | ~ spl24_57
    | ~ spl24_93
    | spl24_137 ),
    inference(forward_demodulation,[],[f1319,f530]) ).

fof(f1319,plain,
    ( op(e2,e1) != op(op(e2,unit),e1)
    | ~ spl24_93
    | spl24_137 ),
    inference(forward_demodulation,[],[f902,f703]) ).

fof(f902,plain,
    ( op(op(e2,unit),e1) != op(e2,op(unit,e1))
    | spl24_137 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f900,plain,
    ( spl24_137
  <=> op(op(e2,unit),e1) = op(e2,op(unit,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_137])]) ).

fof(f1315,plain,
    ( ~ spl24_57
    | ~ spl24_99
    | spl24_136 ),
    inference(avatar_contradiction_clause,[],[f1314]) ).

fof(f1314,plain,
    ( $false
    | ~ spl24_57
    | ~ spl24_99
    | spl24_136 ),
    inference(subsumption_resolution,[],[f1313,f530]) ).

fof(f1313,plain,
    ( e2 != op(e2,unit)
    | ~ spl24_57
    | ~ spl24_99
    | spl24_136 ),
    inference(forward_demodulation,[],[f1312,f530]) ).

fof(f1312,plain,
    ( op(e2,unit) != op(op(e2,unit),unit)
    | ~ spl24_99
    | spl24_136 ),
    inference(forward_demodulation,[],[f898,f732]) ).

fof(f898,plain,
    ( op(op(e2,unit),unit) != op(e2,op(unit,unit))
    | spl24_136 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f896,plain,
    ( spl24_136
  <=> op(op(e2,unit),unit) = op(e2,op(unit,unit)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_136])]) ).

fof(f1308,plain,
    ( ~ spl24_24
    | ~ spl24_43
    | ~ spl24_62
    | ~ spl24_78
    | spl24_135 ),
    inference(avatar_contradiction_clause,[],[f1307]) ).

fof(f1307,plain,
    ( $false
    | ~ spl24_24
    | ~ spl24_43
    | ~ spl24_62
    | ~ spl24_78
    | spl24_135 ),
    inference(subsumption_resolution,[],[f1306,f463]) ).

fof(f1306,plain,
    ( e1 != op(e2,e3)
    | ~ spl24_24
    | ~ spl24_62
    | ~ spl24_78
    | spl24_135 ),
    inference(forward_demodulation,[],[f1305,f554]) ).

fof(f1305,plain,
    ( e1 != op(op(e1,e3),e3)
    | ~ spl24_24
    | ~ spl24_78
    | spl24_135 ),
    inference(forward_demodulation,[],[f1304,f631]) ).

fof(f1304,plain,
    ( op(op(e1,e3),e3) != op(e1,unit)
    | ~ spl24_24
    | spl24_135 ),
    inference(forward_demodulation,[],[f894,f372]) ).

fof(f894,plain,
    ( op(op(e1,e3),e3) != op(e1,op(e3,e3))
    | spl24_135 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f892,plain,
    ( spl24_135
  <=> op(op(e1,e3),e3) = op(e1,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_135])]) ).

fof(f1300,plain,
    ( ~ spl24_28
    | ~ spl24_46
    | ~ spl24_62
    | ~ spl24_71
    | spl24_134 ),
    inference(avatar_contradiction_clause,[],[f1299]) ).

fof(f1299,plain,
    ( $false
    | ~ spl24_28
    | ~ spl24_46
    | ~ spl24_62
    | ~ spl24_71
    | spl24_134 ),
    inference(subsumption_resolution,[],[f1298,f597]) ).

fof(f1298,plain,
    ( e3 != op(e1,e1)
    | ~ spl24_28
    | ~ spl24_46
    | ~ spl24_62
    | spl24_134 ),
    inference(forward_demodulation,[],[f1297,f477]) ).

fof(f1297,plain,
    ( op(e1,e1) != op(e2,e2)
    | ~ spl24_28
    | ~ spl24_62
    | spl24_134 ),
    inference(forward_demodulation,[],[f1296,f554]) ).

fof(f1296,plain,
    ( op(e1,e1) != op(op(e1,e3),e2)
    | ~ spl24_28
    | spl24_134 ),
    inference(forward_demodulation,[],[f890,f391]) ).

fof(f890,plain,
    ( op(op(e1,e3),e2) != op(e1,op(e3,e2))
    | spl24_134 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f888,plain,
    ( spl24_134
  <=> op(op(e1,e3),e2) = op(e1,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_134])]) ).

fof(f1293,plain,
    ( ~ spl24_32
    | ~ spl24_54
    | ~ spl24_62
    | ~ spl24_69
    | spl24_133 ),
    inference(avatar_contradiction_clause,[],[f1292]) ).

fof(f1292,plain,
    ( $false
    | ~ spl24_32
    | ~ spl24_54
    | ~ spl24_62
    | ~ spl24_69
    | spl24_133 ),
    inference(subsumption_resolution,[],[f1291,f588]) ).

fof(f1291,plain,
    ( op(e1,e2) != unit
    | ~ spl24_32
    | ~ spl24_54
    | ~ spl24_62
    | spl24_133 ),
    inference(forward_demodulation,[],[f1290,f516]) ).

fof(f1290,plain,
    ( op(e1,e2) != op(e2,e1)
    | ~ spl24_32
    | ~ spl24_62
    | spl24_133 ),
    inference(forward_demodulation,[],[f1289,f554]) ).

fof(f1289,plain,
    ( op(e1,e2) != op(op(e1,e3),e1)
    | ~ spl24_32
    | spl24_133 ),
    inference(forward_demodulation,[],[f886,f410]) ).

fof(f886,plain,
    ( op(op(e1,e3),e1) != op(e1,op(e3,e1))
    | spl24_133 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f884,plain,
    ( spl24_133
  <=> op(op(e1,e3),e1) = op(e1,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_133])]) ).

fof(f1285,plain,
    ( ~ spl24_36
    | ~ spl24_57
    | ~ spl24_62
    | spl24_132 ),
    inference(avatar_contradiction_clause,[],[f1284]) ).

fof(f1284,plain,
    ( $false
    | ~ spl24_36
    | ~ spl24_57
    | ~ spl24_62
    | spl24_132 ),
    inference(subsumption_resolution,[],[f1283,f530]) ).

fof(f1283,plain,
    ( e2 != op(e2,unit)
    | ~ spl24_36
    | ~ spl24_62
    | spl24_132 ),
    inference(forward_demodulation,[],[f1282,f554]) ).

fof(f1282,plain,
    ( op(e1,e3) != op(op(e1,e3),unit)
    | ~ spl24_36
    | spl24_132 ),
    inference(forward_demodulation,[],[f882,f429]) ).

fof(f882,plain,
    ( op(op(e1,e3),unit) != op(e1,op(e3,unit))
    | spl24_132 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f880,plain,
    ( spl24_132
  <=> op(op(e1,e3),unit) = op(e1,op(e3,unit)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_132])]) ).

fof(f1278,plain,
    ( ~ spl24_43
    | ~ spl24_69
    | ~ spl24_71
    | ~ spl24_81
    | spl24_131 ),
    inference(avatar_contradiction_clause,[],[f1277]) ).

fof(f1277,plain,
    ( $false
    | ~ spl24_43
    | ~ spl24_69
    | ~ spl24_71
    | ~ spl24_81
    | spl24_131 ),
    inference(subsumption_resolution,[],[f1276,f597]) ).

fof(f1276,plain,
    ( e3 != op(e1,e1)
    | ~ spl24_43
    | ~ spl24_69
    | ~ spl24_81
    | spl24_131 ),
    inference(forward_demodulation,[],[f1275,f645]) ).

fof(f1275,plain,
    ( op(e1,e1) != op(unit,e3)
    | ~ spl24_43
    | ~ spl24_69
    | spl24_131 ),
    inference(forward_demodulation,[],[f1274,f588]) ).

fof(f1274,plain,
    ( op(e1,e1) != op(op(e1,e2),e3)
    | ~ spl24_43
    | spl24_131 ),
    inference(forward_demodulation,[],[f878,f463]) ).

fof(f878,plain,
    ( op(op(e1,e2),e3) != op(e1,op(e2,e3))
    | spl24_131 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f876,plain,
    ( spl24_131
  <=> op(op(e1,e2),e3) = op(e1,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_131])]) ).

fof(f1270,plain,
    ( ~ spl24_46
    | ~ spl24_62
    | ~ spl24_69
    | ~ spl24_87
    | spl24_130 ),
    inference(avatar_contradiction_clause,[],[f1269]) ).

fof(f1269,plain,
    ( $false
    | ~ spl24_46
    | ~ spl24_62
    | ~ spl24_69
    | ~ spl24_87
    | spl24_130 ),
    inference(subsumption_resolution,[],[f1268,f554]) ).

fof(f1268,plain,
    ( e2 != op(e1,e3)
    | ~ spl24_46
    | ~ spl24_69
    | ~ spl24_87
    | spl24_130 ),
    inference(forward_demodulation,[],[f1267,f674]) ).

fof(f1267,plain,
    ( op(e1,e3) != op(unit,e2)
    | ~ spl24_46
    | ~ spl24_69
    | spl24_130 ),
    inference(forward_demodulation,[],[f1266,f588]) ).

fof(f1266,plain,
    ( op(e1,e3) != op(op(e1,e2),e2)
    | ~ spl24_46
    | spl24_130 ),
    inference(forward_demodulation,[],[f874,f477]) ).

fof(f874,plain,
    ( op(op(e1,e2),e2) != op(e1,op(e2,e2))
    | spl24_130 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f872,plain,
    ( spl24_130
  <=> op(op(e1,e2),e2) = op(e1,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_130])]) ).

fof(f1263,plain,
    ( ~ spl24_54
    | ~ spl24_69
    | ~ spl24_78
    | ~ spl24_93
    | spl24_129 ),
    inference(avatar_contradiction_clause,[],[f1262]) ).

fof(f1262,plain,
    ( $false
    | ~ spl24_54
    | ~ spl24_69
    | ~ spl24_78
    | ~ spl24_93
    | spl24_129 ),
    inference(subsumption_resolution,[],[f1261,f703]) ).

fof(f1261,plain,
    ( e1 != op(unit,e1)
    | ~ spl24_54
    | ~ spl24_69
    | ~ spl24_78
    | spl24_129 ),
    inference(forward_demodulation,[],[f1260,f588]) ).

fof(f1260,plain,
    ( e1 != op(op(e1,e2),e1)
    | ~ spl24_54
    | ~ spl24_78
    | spl24_129 ),
    inference(forward_demodulation,[],[f1259,f631]) ).

fof(f1259,plain,
    ( op(op(e1,e2),e1) != op(e1,unit)
    | ~ spl24_54
    | spl24_129 ),
    inference(forward_demodulation,[],[f870,f516]) ).

fof(f870,plain,
    ( op(op(e1,e2),e1) != op(e1,op(e2,e1))
    | spl24_129 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f868,plain,
    ( spl24_129
  <=> op(op(e1,e2),e1) = op(e1,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_129])]) ).

fof(f1255,plain,
    ( ~ spl24_57
    | ~ spl24_69
    | ~ spl24_99
    | spl24_128 ),
    inference(avatar_contradiction_clause,[],[f1254]) ).

fof(f1254,plain,
    ( $false
    | ~ spl24_57
    | ~ spl24_69
    | ~ spl24_99
    | spl24_128 ),
    inference(subsumption_resolution,[],[f1253,f732]) ).

fof(f1253,plain,
    ( unit != op(unit,unit)
    | ~ spl24_57
    | ~ spl24_69
    | spl24_128 ),
    inference(forward_demodulation,[],[f1252,f588]) ).

fof(f1252,plain,
    ( op(e1,e2) != op(op(e1,e2),unit)
    | ~ spl24_57
    | spl24_128 ),
    inference(forward_demodulation,[],[f866,f530]) ).

fof(f866,plain,
    ( op(op(e1,e2),unit) != op(e1,op(e2,unit))
    | spl24_128 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f864,plain,
    ( spl24_128
  <=> op(op(e1,e2),unit) = op(e1,op(e2,unit)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_128])]) ).

fof(f1248,plain,
    ( ~ spl24_24
    | ~ spl24_62
    | ~ spl24_69
    | ~ spl24_71
    | spl24_127 ),
    inference(avatar_contradiction_clause,[],[f1247]) ).

fof(f1247,plain,
    ( $false
    | ~ spl24_24
    | ~ spl24_62
    | ~ spl24_69
    | ~ spl24_71
    | spl24_127 ),
    inference(subsumption_resolution,[],[f1246,f588]) ).

fof(f1246,plain,
    ( op(e1,e2) != unit
    | ~ spl24_24
    | ~ spl24_62
    | ~ spl24_71
    | spl24_127 ),
    inference(forward_demodulation,[],[f1245,f372]) ).

fof(f1245,plain,
    ( op(e1,e2) != op(e3,e3)
    | ~ spl24_62
    | ~ spl24_71
    | spl24_127 ),
    inference(forward_demodulation,[],[f1244,f597]) ).

fof(f1244,plain,
    ( op(e1,e2) != op(op(e1,e1),e3)
    | ~ spl24_62
    | spl24_127 ),
    inference(forward_demodulation,[],[f862,f554]) ).

fof(f862,plain,
    ( op(op(e1,e1),e3) != op(e1,op(e1,e3))
    | spl24_127 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f860,plain,
    ( spl24_127
  <=> op(op(e1,e1),e3) = op(e1,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_127])]) ).

fof(f1241,plain,
    ( ~ spl24_28
    | ~ spl24_69
    | ~ spl24_71
    | ~ spl24_78
    | spl24_126 ),
    inference(avatar_contradiction_clause,[],[f1240]) ).

fof(f1240,plain,
    ( $false
    | ~ spl24_28
    | ~ spl24_69
    | ~ spl24_71
    | ~ spl24_78
    | spl24_126 ),
    inference(subsumption_resolution,[],[f1239,f391]) ).

fof(f1239,plain,
    ( e1 != op(e3,e2)
    | ~ spl24_69
    | ~ spl24_71
    | ~ spl24_78
    | spl24_126 ),
    inference(forward_demodulation,[],[f1238,f597]) ).

fof(f1238,plain,
    ( e1 != op(op(e1,e1),e2)
    | ~ spl24_69
    | ~ spl24_78
    | spl24_126 ),
    inference(forward_demodulation,[],[f1237,f631]) ).

fof(f1237,plain,
    ( op(op(e1,e1),e2) != op(e1,unit)
    | ~ spl24_69
    | spl24_126 ),
    inference(forward_demodulation,[],[f858,f588]) ).

fof(f858,plain,
    ( op(op(e1,e1),e2) != op(e1,op(e1,e2))
    | spl24_126 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f856,plain,
    ( spl24_126
  <=> op(op(e1,e1),e2) = op(e1,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_126])]) ).

fof(f1234,plain,
    ( ~ spl24_32
    | ~ spl24_62
    | ~ spl24_71
    | spl24_125 ),
    inference(avatar_contradiction_clause,[],[f1233]) ).

fof(f1233,plain,
    ( $false
    | ~ spl24_32
    | ~ spl24_62
    | ~ spl24_71
    | spl24_125 ),
    inference(subsumption_resolution,[],[f1232,f554]) ).

fof(f1232,plain,
    ( e2 != op(e1,e3)
    | ~ spl24_32
    | ~ spl24_71
    | spl24_125 ),
    inference(forward_demodulation,[],[f1231,f410]) ).

fof(f1231,plain,
    ( op(e1,e3) != op(e3,e1)
    | ~ spl24_71
    | spl24_125 ),
    inference(forward_demodulation,[],[f854,f597]) ).

fof(f854,plain,
    ( op(op(e1,e1),e1) != op(e1,op(e1,e1))
    | spl24_125 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f852,plain,
    ( spl24_125
  <=> op(op(e1,e1),e1) = op(e1,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_125])]) ).

fof(f1229,plain,
    ( ~ spl24_36
    | ~ spl24_71
    | ~ spl24_78
    | spl24_124 ),
    inference(avatar_contradiction_clause,[],[f1228]) ).

fof(f1228,plain,
    ( $false
    | ~ spl24_36
    | ~ spl24_71
    | ~ spl24_78
    | spl24_124 ),
    inference(subsumption_resolution,[],[f1227,f429]) ).

fof(f1227,plain,
    ( e3 != op(e3,unit)
    | ~ spl24_71
    | ~ spl24_78
    | spl24_124 ),
    inference(forward_demodulation,[],[f1226,f597]) ).

fof(f1226,plain,
    ( op(e1,e1) != op(op(e1,e1),unit)
    | ~ spl24_78
    | spl24_124 ),
    inference(forward_demodulation,[],[f850,f631]) ).

fof(f850,plain,
    ( op(op(e1,e1),unit) != op(e1,op(e1,unit))
    | spl24_124 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f848,plain,
    ( spl24_124
  <=> op(op(e1,e1),unit) = op(e1,op(e1,unit)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_124])]) ).

fof(f1224,plain,
    ( ~ spl24_78
    | ~ spl24_81
    | spl24_123 ),
    inference(avatar_contradiction_clause,[],[f1223]) ).

fof(f1223,plain,
    ( $false
    | ~ spl24_78
    | ~ spl24_81
    | spl24_123 ),
    inference(trivial_inequality_removal,[],[f1222]) ).

fof(f1222,plain,
    ( op(e1,e3) != op(e1,e3)
    | ~ spl24_78
    | ~ spl24_81
    | spl24_123 ),
    inference(forward_demodulation,[],[f1221,f631]) ).

fof(f1221,plain,
    ( op(e1,e3) != op(op(e1,unit),e3)
    | ~ spl24_81
    | spl24_123 ),
    inference(forward_demodulation,[],[f846,f645]) ).

fof(f846,plain,
    ( op(op(e1,unit),e3) != op(e1,op(unit,e3))
    | spl24_123 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f844,plain,
    ( spl24_123
  <=> op(op(e1,unit),e3) = op(e1,op(unit,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_123])]) ).

fof(f1219,plain,
    ( ~ spl24_78
    | ~ spl24_87
    | spl24_122 ),
    inference(avatar_contradiction_clause,[],[f1218]) ).

fof(f1218,plain,
    ( $false
    | ~ spl24_78
    | ~ spl24_87
    | spl24_122 ),
    inference(trivial_inequality_removal,[],[f1217]) ).

fof(f1217,plain,
    ( op(e1,e2) != op(e1,e2)
    | ~ spl24_78
    | ~ spl24_87
    | spl24_122 ),
    inference(forward_demodulation,[],[f1216,f631]) ).

fof(f1216,plain,
    ( op(e1,e2) != op(op(e1,unit),e2)
    | ~ spl24_87
    | spl24_122 ),
    inference(forward_demodulation,[],[f842,f674]) ).

fof(f842,plain,
    ( op(op(e1,unit),e2) != op(e1,op(unit,e2))
    | spl24_122 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f840,plain,
    ( spl24_122
  <=> op(op(e1,unit),e2) = op(e1,op(unit,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_122])]) ).

fof(f1213,plain,
    ( ~ spl24_78
    | ~ spl24_93
    | spl24_121 ),
    inference(avatar_contradiction_clause,[],[f1212]) ).

fof(f1212,plain,
    ( $false
    | ~ spl24_78
    | ~ spl24_93
    | spl24_121 ),
    inference(trivial_inequality_removal,[],[f1211]) ).

fof(f1211,plain,
    ( op(e1,e1) != op(e1,e1)
    | ~ spl24_78
    | ~ spl24_93
    | spl24_121 ),
    inference(forward_demodulation,[],[f1210,f631]) ).

fof(f1210,plain,
    ( op(e1,e1) != op(op(e1,unit),e1)
    | ~ spl24_93
    | spl24_121 ),
    inference(forward_demodulation,[],[f838,f703]) ).

fof(f838,plain,
    ( op(op(e1,unit),e1) != op(e1,op(unit,e1))
    | spl24_121 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f836,plain,
    ( spl24_121
  <=> op(op(e1,unit),e1) = op(e1,op(unit,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_121])]) ).

fof(f1206,plain,
    ( ~ spl24_78
    | ~ spl24_99
    | spl24_120 ),
    inference(avatar_contradiction_clause,[],[f1205]) ).

fof(f1205,plain,
    ( $false
    | ~ spl24_78
    | ~ spl24_99
    | spl24_120 ),
    inference(subsumption_resolution,[],[f1204,f631]) ).

fof(f1204,plain,
    ( e1 != op(e1,unit)
    | ~ spl24_78
    | ~ spl24_99
    | spl24_120 ),
    inference(forward_demodulation,[],[f1203,f631]) ).

fof(f1203,plain,
    ( op(e1,unit) != op(op(e1,unit),unit)
    | ~ spl24_99
    | spl24_120 ),
    inference(forward_demodulation,[],[f834,f732]) ).

fof(f834,plain,
    ( op(op(e1,unit),unit) != op(e1,op(unit,unit))
    | spl24_120 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f832,plain,
    ( spl24_120
  <=> op(op(e1,unit),unit) = op(e1,op(unit,unit)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_120])]) ).

fof(f1199,plain,
    ( ~ spl24_24
    | ~ spl24_81
    | ~ spl24_99
    | spl24_119 ),
    inference(avatar_contradiction_clause,[],[f1198]) ).

fof(f1198,plain,
    ( $false
    | ~ spl24_24
    | ~ spl24_81
    | ~ spl24_99
    | spl24_119 ),
    inference(subsumption_resolution,[],[f1197,f372]) ).

fof(f1197,plain,
    ( op(e3,e3) != unit
    | ~ spl24_24
    | ~ spl24_81
    | ~ spl24_99
    | spl24_119 ),
    inference(forward_demodulation,[],[f1196,f732]) ).

fof(f1196,plain,
    ( op(e3,e3) != op(unit,unit)
    | ~ spl24_24
    | ~ spl24_81
    | spl24_119 ),
    inference(forward_demodulation,[],[f1195,f645]) ).

fof(f1195,plain,
    ( op(unit,unit) != op(op(unit,e3),e3)
    | ~ spl24_24
    | spl24_119 ),
    inference(forward_demodulation,[],[f830,f372]) ).

fof(f830,plain,
    ( op(op(unit,e3),e3) != op(unit,op(e3,e3))
    | spl24_119 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f828,plain,
    ( spl24_119
  <=> op(op(unit,e3),e3) = op(unit,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_119])]) ).

fof(f1191,plain,
    ( ~ spl24_28
    | ~ spl24_81
    | ~ spl24_93
    | spl24_118 ),
    inference(avatar_contradiction_clause,[],[f1190]) ).

fof(f1190,plain,
    ( $false
    | ~ spl24_28
    | ~ spl24_81
    | ~ spl24_93
    | spl24_118 ),
    inference(subsumption_resolution,[],[f1189,f391]) ).

fof(f1189,plain,
    ( e1 != op(e3,e2)
    | ~ spl24_28
    | ~ spl24_81
    | ~ spl24_93
    | spl24_118 ),
    inference(forward_demodulation,[],[f1188,f703]) ).

fof(f1188,plain,
    ( op(e3,e2) != op(unit,e1)
    | ~ spl24_28
    | ~ spl24_81
    | spl24_118 ),
    inference(forward_demodulation,[],[f1187,f645]) ).

fof(f1187,plain,
    ( op(unit,e1) != op(op(unit,e3),e2)
    | ~ spl24_28
    | spl24_118 ),
    inference(forward_demodulation,[],[f826,f391]) ).

fof(f826,plain,
    ( op(op(unit,e3),e2) != op(unit,op(e3,e2))
    | spl24_118 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f824,plain,
    ( spl24_118
  <=> op(op(unit,e3),e2) = op(unit,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_118])]) ).

fof(f1184,plain,
    ( ~ spl24_32
    | ~ spl24_81
    | ~ spl24_87
    | spl24_117 ),
    inference(avatar_contradiction_clause,[],[f1183]) ).

fof(f1183,plain,
    ( $false
    | ~ spl24_32
    | ~ spl24_81
    | ~ spl24_87
    | spl24_117 ),
    inference(subsumption_resolution,[],[f1182,f410]) ).

fof(f1182,plain,
    ( e2 != op(e3,e1)
    | ~ spl24_32
    | ~ spl24_81
    | ~ spl24_87
    | spl24_117 ),
    inference(forward_demodulation,[],[f1181,f674]) ).

fof(f1181,plain,
    ( op(e3,e1) != op(unit,e2)
    | ~ spl24_32
    | ~ spl24_81
    | spl24_117 ),
    inference(forward_demodulation,[],[f1180,f645]) ).

fof(f1180,plain,
    ( op(unit,e2) != op(op(unit,e3),e1)
    | ~ spl24_32
    | spl24_117 ),
    inference(forward_demodulation,[],[f822,f410]) ).

fof(f822,plain,
    ( op(op(unit,e3),e1) != op(unit,op(e3,e1))
    | spl24_117 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f820,plain,
    ( spl24_117
  <=> op(op(unit,e3),e1) = op(unit,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_117])]) ).

fof(f1176,plain,
    ( ~ spl24_36
    | ~ spl24_81
    | spl24_116 ),
    inference(avatar_contradiction_clause,[],[f1175]) ).

fof(f1175,plain,
    ( $false
    | ~ spl24_36
    | ~ spl24_81
    | spl24_116 ),
    inference(subsumption_resolution,[],[f1174,f429]) ).

fof(f1174,plain,
    ( e3 != op(e3,unit)
    | ~ spl24_36
    | ~ spl24_81
    | spl24_116 ),
    inference(forward_demodulation,[],[f1173,f645]) ).

fof(f1173,plain,
    ( op(unit,e3) != op(op(unit,e3),unit)
    | ~ spl24_36
    | spl24_116 ),
    inference(forward_demodulation,[],[f818,f429]) ).

fof(f818,plain,
    ( op(op(unit,e3),unit) != op(unit,op(e3,unit))
    | spl24_116 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f816,plain,
    ( spl24_116
  <=> op(op(unit,e3),unit) = op(unit,op(e3,unit)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_116])]) ).

fof(f1169,plain,
    ( ~ spl24_43
    | ~ spl24_87
    | ~ spl24_93
    | spl24_115 ),
    inference(avatar_contradiction_clause,[],[f1168]) ).

fof(f1168,plain,
    ( $false
    | ~ spl24_43
    | ~ spl24_87
    | ~ spl24_93
    | spl24_115 ),
    inference(subsumption_resolution,[],[f1167,f463]) ).

fof(f1167,plain,
    ( e1 != op(e2,e3)
    | ~ spl24_43
    | ~ spl24_87
    | ~ spl24_93
    | spl24_115 ),
    inference(forward_demodulation,[],[f1166,f703]) ).

fof(f1166,plain,
    ( op(e2,e3) != op(unit,e1)
    | ~ spl24_43
    | ~ spl24_87
    | spl24_115 ),
    inference(forward_demodulation,[],[f1165,f674]) ).

fof(f1165,plain,
    ( op(unit,e1) != op(op(unit,e2),e3)
    | ~ spl24_43
    | spl24_115 ),
    inference(forward_demodulation,[],[f814,f463]) ).

fof(f814,plain,
    ( op(op(unit,e2),e3) != op(unit,op(e2,e3))
    | spl24_115 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f812,plain,
    ( spl24_115
  <=> op(op(unit,e2),e3) = op(unit,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_115])]) ).

fof(f1161,plain,
    ( ~ spl24_46
    | ~ spl24_81
    | ~ spl24_87
    | spl24_114 ),
    inference(avatar_contradiction_clause,[],[f1160]) ).

fof(f1160,plain,
    ( $false
    | ~ spl24_46
    | ~ spl24_81
    | ~ spl24_87
    | spl24_114 ),
    inference(subsumption_resolution,[],[f1159,f477]) ).

fof(f1159,plain,
    ( e3 != op(e2,e2)
    | ~ spl24_46
    | ~ spl24_81
    | ~ spl24_87
    | spl24_114 ),
    inference(forward_demodulation,[],[f1158,f645]) ).

fof(f1158,plain,
    ( op(e2,e2) != op(unit,e3)
    | ~ spl24_46
    | ~ spl24_87
    | spl24_114 ),
    inference(forward_demodulation,[],[f1157,f674]) ).

fof(f1157,plain,
    ( op(unit,e3) != op(op(unit,e2),e2)
    | ~ spl24_46
    | spl24_114 ),
    inference(forward_demodulation,[],[f810,f477]) ).

fof(f810,plain,
    ( op(op(unit,e2),e2) != op(unit,op(e2,e2))
    | spl24_114 ),
    inference(avatar_component_clause,[],[f808]) ).

fof(f808,plain,
    ( spl24_114
  <=> op(op(unit,e2),e2) = op(unit,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_114])]) ).

fof(f1154,plain,
    ( ~ spl24_54
    | ~ spl24_87
    | ~ spl24_99
    | spl24_113 ),
    inference(avatar_contradiction_clause,[],[f1153]) ).

fof(f1153,plain,
    ( $false
    | ~ spl24_54
    | ~ spl24_87
    | ~ spl24_99
    | spl24_113 ),
    inference(subsumption_resolution,[],[f1152,f516]) ).

fof(f1152,plain,
    ( op(e2,e1) != unit
    | ~ spl24_54
    | ~ spl24_87
    | ~ spl24_99
    | spl24_113 ),
    inference(forward_demodulation,[],[f1151,f732]) ).

fof(f1151,plain,
    ( op(e2,e1) != op(unit,unit)
    | ~ spl24_54
    | ~ spl24_87
    | spl24_113 ),
    inference(forward_demodulation,[],[f1150,f674]) ).

fof(f1150,plain,
    ( op(unit,unit) != op(op(unit,e2),e1)
    | ~ spl24_54
    | spl24_113 ),
    inference(forward_demodulation,[],[f806,f516]) ).

fof(f806,plain,
    ( op(op(unit,e2),e1) != op(unit,op(e2,e1))
    | spl24_113 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f804,plain,
    ( spl24_113
  <=> op(op(unit,e2),e1) = op(unit,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_113])]) ).

fof(f1146,plain,
    ( ~ spl24_57
    | ~ spl24_87
    | spl24_112 ),
    inference(avatar_contradiction_clause,[],[f1145]) ).

fof(f1145,plain,
    ( $false
    | ~ spl24_57
    | ~ spl24_87
    | spl24_112 ),
    inference(subsumption_resolution,[],[f1144,f530]) ).

fof(f1144,plain,
    ( e2 != op(e2,unit)
    | ~ spl24_57
    | ~ spl24_87
    | spl24_112 ),
    inference(forward_demodulation,[],[f1143,f674]) ).

fof(f1143,plain,
    ( op(unit,e2) != op(op(unit,e2),unit)
    | ~ spl24_57
    | spl24_112 ),
    inference(forward_demodulation,[],[f802,f530]) ).

fof(f802,plain,
    ( op(op(unit,e2),unit) != op(unit,op(e2,unit))
    | spl24_112 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f800,plain,
    ( spl24_112
  <=> op(op(unit,e2),unit) = op(unit,op(e2,unit)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_112])]) ).

fof(f1139,plain,
    ( ~ spl24_62
    | ~ spl24_87
    | ~ spl24_93
    | spl24_111 ),
    inference(avatar_contradiction_clause,[],[f1138]) ).

fof(f1138,plain,
    ( $false
    | ~ spl24_62
    | ~ spl24_87
    | ~ spl24_93
    | spl24_111 ),
    inference(subsumption_resolution,[],[f1137,f554]) ).

fof(f1137,plain,
    ( e2 != op(e1,e3)
    | ~ spl24_62
    | ~ spl24_87
    | ~ spl24_93
    | spl24_111 ),
    inference(forward_demodulation,[],[f1136,f674]) ).

fof(f1136,plain,
    ( op(e1,e3) != op(unit,e2)
    | ~ spl24_62
    | ~ spl24_93
    | spl24_111 ),
    inference(forward_demodulation,[],[f1135,f703]) ).

fof(f1135,plain,
    ( op(unit,e2) != op(op(unit,e1),e3)
    | ~ spl24_62
    | spl24_111 ),
    inference(forward_demodulation,[],[f798,f554]) ).

fof(f798,plain,
    ( op(op(unit,e1),e3) != op(unit,op(e1,e3))
    | spl24_111 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f796,plain,
    ( spl24_111
  <=> op(op(unit,e1),e3) = op(unit,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_111])]) ).

fof(f1131,plain,
    ( ~ spl24_69
    | ~ spl24_93
    | ~ spl24_99
    | spl24_110 ),
    inference(avatar_contradiction_clause,[],[f1130]) ).

fof(f1130,plain,
    ( $false
    | ~ spl24_69
    | ~ spl24_93
    | ~ spl24_99
    | spl24_110 ),
    inference(subsumption_resolution,[],[f1129,f588]) ).

fof(f1129,plain,
    ( op(e1,e2) != unit
    | ~ spl24_69
    | ~ spl24_93
    | ~ spl24_99
    | spl24_110 ),
    inference(forward_demodulation,[],[f1128,f732]) ).

fof(f1128,plain,
    ( op(e1,e2) != op(unit,unit)
    | ~ spl24_69
    | ~ spl24_93
    | spl24_110 ),
    inference(forward_demodulation,[],[f1127,f703]) ).

fof(f1127,plain,
    ( op(unit,unit) != op(op(unit,e1),e2)
    | ~ spl24_69
    | spl24_110 ),
    inference(forward_demodulation,[],[f794,f588]) ).

fof(f794,plain,
    ( op(op(unit,e1),e2) != op(unit,op(e1,e2))
    | spl24_110 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f792,plain,
    ( spl24_110
  <=> op(op(unit,e1),e2) = op(unit,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_110])]) ).

fof(f1124,plain,
    ( ~ spl24_71
    | ~ spl24_81
    | ~ spl24_93
    | spl24_109 ),
    inference(avatar_contradiction_clause,[],[f1123]) ).

fof(f1123,plain,
    ( $false
    | ~ spl24_71
    | ~ spl24_81
    | ~ spl24_93
    | spl24_109 ),
    inference(subsumption_resolution,[],[f1122,f597]) ).

fof(f1122,plain,
    ( e3 != op(e1,e1)
    | ~ spl24_71
    | ~ spl24_81
    | ~ spl24_93
    | spl24_109 ),
    inference(forward_demodulation,[],[f1121,f645]) ).

fof(f1121,plain,
    ( op(e1,e1) != op(unit,e3)
    | ~ spl24_71
    | ~ spl24_93
    | spl24_109 ),
    inference(forward_demodulation,[],[f1120,f703]) ).

fof(f1120,plain,
    ( op(unit,e3) != op(op(unit,e1),e1)
    | ~ spl24_71
    | spl24_109 ),
    inference(forward_demodulation,[],[f790,f597]) ).

fof(f790,plain,
    ( op(op(unit,e1),e1) != op(unit,op(e1,e1))
    | spl24_109 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f788,plain,
    ( spl24_109
  <=> op(op(unit,e1),e1) = op(unit,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_109])]) ).

fof(f1118,plain,
    ( ~ spl24_78
    | ~ spl24_93
    | spl24_108 ),
    inference(avatar_contradiction_clause,[],[f1117]) ).

fof(f1117,plain,
    ( $false
    | ~ spl24_78
    | ~ spl24_93
    | spl24_108 ),
    inference(subsumption_resolution,[],[f1116,f631]) ).

fof(f1116,plain,
    ( e1 != op(e1,unit)
    | ~ spl24_78
    | ~ spl24_93
    | spl24_108 ),
    inference(forward_demodulation,[],[f1115,f703]) ).

fof(f1115,plain,
    ( op(unit,e1) != op(op(unit,e1),unit)
    | ~ spl24_78
    | spl24_108 ),
    inference(forward_demodulation,[],[f786,f631]) ).

fof(f786,plain,
    ( op(op(unit,e1),unit) != op(unit,op(e1,unit))
    | spl24_108 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f784,plain,
    ( spl24_108
  <=> op(op(unit,e1),unit) = op(unit,op(e1,unit)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_108])]) ).

fof(f1113,plain,
    ( ~ spl24_87
    | ~ spl24_99
    | spl24_106 ),
    inference(avatar_contradiction_clause,[],[f1112]) ).

fof(f1112,plain,
    ( $false
    | ~ spl24_87
    | ~ spl24_99
    | spl24_106 ),
    inference(trivial_inequality_removal,[],[f1111]) ).

fof(f1111,plain,
    ( op(unit,e2) != op(unit,e2)
    | ~ spl24_87
    | ~ spl24_99
    | spl24_106 ),
    inference(forward_demodulation,[],[f1110,f732]) ).

fof(f1110,plain,
    ( op(unit,e2) != op(op(unit,unit),e2)
    | ~ spl24_87
    | spl24_106 ),
    inference(forward_demodulation,[],[f778,f674]) ).

fof(f778,plain,
    ( op(op(unit,unit),e2) != op(unit,op(unit,e2))
    | spl24_106 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f776,plain,
    ( spl24_106
  <=> op(op(unit,unit),e2) = op(unit,op(unit,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_106])]) ).

fof(f1109,plain,
    ( ~ spl24_93
    | ~ spl24_99
    | spl24_105 ),
    inference(avatar_contradiction_clause,[],[f1108]) ).

fof(f1108,plain,
    ( $false
    | ~ spl24_93
    | ~ spl24_99
    | spl24_105 ),
    inference(trivial_inequality_removal,[],[f1107]) ).

fof(f1107,plain,
    ( op(unit,e1) != op(unit,e1)
    | ~ spl24_93
    | ~ spl24_99
    | spl24_105 ),
    inference(forward_demodulation,[],[f1106,f732]) ).

fof(f1106,plain,
    ( op(unit,e1) != op(op(unit,unit),e1)
    | ~ spl24_93
    | spl24_105 ),
    inference(forward_demodulation,[],[f774,f703]) ).

fof(f774,plain,
    ( op(op(unit,unit),e1) != op(unit,op(unit,e1))
    | spl24_105 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f772,plain,
    ( spl24_105
  <=> op(op(unit,unit),e1) = op(unit,op(unit,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_105])]) ).

fof(f1105,plain,
    ( ~ spl24_99
    | spl24_104 ),
    inference(avatar_contradiction_clause,[],[f1104]) ).

fof(f1104,plain,
    ( $false
    | ~ spl24_99
    | spl24_104 ),
    inference(trivial_inequality_removal,[],[f1103]) ).

fof(f1103,plain,
    ( op(unit,unit) != op(unit,unit)
    | ~ spl24_99
    | spl24_104 ),
    inference(forward_demodulation,[],[f770,f732]) ).

fof(f770,plain,
    ( op(op(unit,unit),unit) != op(unit,op(unit,unit))
    | spl24_104 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f768,plain,
    ( spl24_104
  <=> op(op(unit,unit),unit) = op(unit,op(unit,unit)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_104])]) ).

fof(f1101,plain,
    ( ~ spl24_81
    | ~ spl24_99
    | spl24_107 ),
    inference(avatar_contradiction_clause,[],[f1100]) ).

fof(f1100,plain,
    ( $false
    | ~ spl24_81
    | ~ spl24_99
    | spl24_107 ),
    inference(subsumption_resolution,[],[f1099,f645]) ).

fof(f1099,plain,
    ( e3 != op(unit,e3)
    | ~ spl24_81
    | ~ spl24_99
    | spl24_107 ),
    inference(backward_demodulation,[],[f1098,f645]) ).

fof(f1098,plain,
    ( op(unit,e3) != op(unit,op(unit,e3))
    | ~ spl24_99
    | spl24_107 ),
    inference(backward_demodulation,[],[f782,f732]) ).

fof(f782,plain,
    ( op(op(unit,unit),e3) != op(unit,op(unit,e3))
    | spl24_107 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f780,plain,
    ( spl24_107
  <=> op(op(unit,unit),e3) = op(unit,op(unit,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_107])]) ).

fof(f1097,plain,
    ~ spl24_19,
    inference(avatar_split_clause,[],[f253,f346]) ).

fof(f253,plain,
    e1 != unit,
    inference(definition_unfolding,[],[f179,f162]) ).

fof(f162,plain,
    e0 = unit,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    e0 = unit,
    file('/export/starexec/sandbox/tmp/tmp.yDukGyCCxY/Vampire---4.8_6371',ax3) ).

fof(f179,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( e2 != e3
    & e1 != e3
    & e1 != e2
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    file('/export/starexec/sandbox/tmp/tmp.yDukGyCCxY/Vampire---4.8_6371',ax1) ).

fof(f1096,plain,
    ~ spl24_18,
    inference(avatar_split_clause,[],[f252,f341]) ).

fof(f252,plain,
    e2 != unit,
    inference(definition_unfolding,[],[f180,f162]) ).

fof(f180,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f1]) ).

fof(f1095,plain,
    ~ spl24_17,
    inference(avatar_split_clause,[],[f251,f336]) ).

fof(f251,plain,
    e3 != unit,
    inference(definition_unfolding,[],[f181,f162]) ).

fof(f181,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f1]) ).

fof(f1094,plain,
    spl24_99,
    inference(avatar_split_clause,[],[f250,f731]) ).

fof(f250,plain,
    unit = op(unit,unit),
    inference(definition_unfolding,[],[f163,f162,f162,f162]) ).

fof(f163,plain,
    e0 = op(e0,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( e0 = op(e3,e3)
    & e1 = op(e3,e2)
    & e2 = op(e3,e1)
    & e3 = op(e3,e0)
    & e1 = op(e2,e3)
    & e3 = op(e2,e2)
    & e0 = op(e2,e1)
    & e2 = op(e2,e0)
    & e2 = op(e1,e3)
    & e0 = op(e1,e2)
    & e3 = op(e1,e1)
    & e1 = op(e1,e0)
    & e3 = op(e0,e3)
    & e2 = op(e0,e2)
    & e1 = op(e0,e1)
    & e0 = op(e0,e0) ),
    file('/export/starexec/sandbox/tmp/tmp.yDukGyCCxY/Vampire---4.8_6371',ax2) ).

fof(f1093,plain,
    spl24_93,
    inference(avatar_split_clause,[],[f249,f702]) ).

fof(f249,plain,
    e1 = op(unit,e1),
    inference(definition_unfolding,[],[f164,f162]) ).

fof(f164,plain,
    e1 = op(e0,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1092,plain,
    spl24_87,
    inference(avatar_split_clause,[],[f248,f673]) ).

fof(f248,plain,
    e2 = op(unit,e2),
    inference(definition_unfolding,[],[f165,f162]) ).

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

fof(f1091,plain,
    spl24_81,
    inference(avatar_split_clause,[],[f247,f644]) ).

fof(f247,plain,
    e3 = op(unit,e3),
    inference(definition_unfolding,[],[f166,f162]) ).

fof(f166,plain,
    e3 = op(e0,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1090,plain,
    spl24_78,
    inference(avatar_split_clause,[],[f246,f630]) ).

fof(f246,plain,
    e1 = op(e1,unit),
    inference(definition_unfolding,[],[f167,f162]) ).

fof(f167,plain,
    e1 = op(e1,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1089,plain,
    spl24_71,
    inference(avatar_split_clause,[],[f168,f596]) ).

fof(f168,plain,
    e3 = op(e1,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1088,plain,
    spl24_69,
    inference(avatar_split_clause,[],[f245,f587]) ).

fof(f245,plain,
    op(e1,e2) = unit,
    inference(definition_unfolding,[],[f169,f162]) ).

fof(f169,plain,
    e0 = op(e1,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1087,plain,
    spl24_62,
    inference(avatar_split_clause,[],[f170,f553]) ).

fof(f170,plain,
    e2 = op(e1,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1086,plain,
    spl24_57,
    inference(avatar_split_clause,[],[f244,f529]) ).

fof(f244,plain,
    e2 = op(e2,unit),
    inference(definition_unfolding,[],[f171,f162]) ).

fof(f171,plain,
    e2 = op(e2,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1085,plain,
    spl24_54,
    inference(avatar_split_clause,[],[f243,f515]) ).

fof(f243,plain,
    op(e2,e1) = unit,
    inference(definition_unfolding,[],[f172,f162]) ).

fof(f172,plain,
    e0 = op(e2,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1084,plain,
    spl24_46,
    inference(avatar_split_clause,[],[f173,f476]) ).

fof(f173,plain,
    e3 = op(e2,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1083,plain,
    spl24_43,
    inference(avatar_split_clause,[],[f174,f462]) ).

fof(f174,plain,
    e1 = op(e2,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1082,plain,
    spl24_36,
    inference(avatar_split_clause,[],[f242,f428]) ).

fof(f242,plain,
    e3 = op(e3,unit),
    inference(definition_unfolding,[],[f175,f162]) ).

fof(f175,plain,
    e3 = op(e3,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1081,plain,
    spl24_32,
    inference(avatar_split_clause,[],[f176,f409]) ).

fof(f176,plain,
    e2 = op(e3,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1080,plain,
    spl24_28,
    inference(avatar_split_clause,[],[f177,f390]) ).

fof(f177,plain,
    e1 = op(e3,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1079,plain,
    spl24_24,
    inference(avatar_split_clause,[],[f241,f371]) ).

fof(f241,plain,
    op(e3,e3) = unit,
    inference(definition_unfolding,[],[f178,f162]) ).

fof(f178,plain,
    e0 = op(e3,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1078,plain,
    spl24_15,
    inference(avatar_split_clause,[],[f240,f327]) ).

fof(f240,plain,
    unit = inv(unit),
    inference(definition_unfolding,[],[f158,f162,f162]) ).

fof(f158,plain,
    e0 = inv(e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( e3 = inv(e3)
    & e1 = inv(e2)
    & e2 = inv(e1)
    & e0 = inv(e0) ),
    file('/export/starexec/sandbox/tmp/tmp.yDukGyCCxY/Vampire---4.8_6371',ax4) ).

fof(f1077,plain,
    spl24_8,
    inference(avatar_split_clause,[],[f159,f293]) ).

fof(f159,plain,
    e2 = inv(e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1076,plain,
    spl24_4,
    inference(avatar_split_clause,[],[f160,f274]) ).

fof(f160,plain,
    e1 = inv(e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1075,plain,
    spl24_176,
    inference(avatar_split_clause,[],[f161,f1056]) ).

fof(f161,plain,
    e3 = inv(e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1059,plain,
    ( spl24_103
    | spl24_102
    | spl24_101
    | spl24_100
    | spl24_95
    | spl24_90
    | spl24_85
    | spl24_80
    | spl24_75
    | spl24_70
    | spl24_65
    | spl24_60
    | spl24_55
    | spl24_50
    | spl24_45
    | spl24_40
    | spl24_35
    | spl24_30
    | spl24_25
    | spl24_20
    | ~ spl24_104
    | ~ spl24_105
    | ~ spl24_106
    | ~ spl24_107
    | ~ spl24_108
    | ~ spl24_109
    | ~ spl24_110
    | ~ spl24_111
    | ~ spl24_112
    | ~ spl24_113
    | ~ spl24_114
    | ~ spl24_115
    | ~ spl24_116
    | ~ spl24_117
    | ~ spl24_118
    | ~ spl24_119
    | ~ spl24_120
    | ~ spl24_121
    | ~ spl24_122
    | ~ spl24_123
    | ~ spl24_124
    | ~ spl24_125
    | ~ spl24_126
    | ~ spl24_127
    | ~ spl24_128
    | ~ spl24_129
    | ~ spl24_130
    | ~ spl24_131
    | ~ spl24_132
    | ~ spl24_133
    | ~ spl24_134
    | ~ spl24_135
    | ~ spl24_136
    | ~ spl24_137
    | ~ spl24_138
    | ~ spl24_139
    | ~ spl24_140
    | ~ spl24_141
    | ~ spl24_142
    | ~ spl24_143
    | ~ spl24_144
    | ~ spl24_145
    | ~ spl24_146
    | ~ spl24_147
    | ~ spl24_148
    | ~ spl24_149
    | ~ spl24_150
    | ~ spl24_151
    | ~ spl24_152
    | ~ spl24_153
    | ~ spl24_154
    | ~ spl24_155
    | ~ spl24_156
    | ~ spl24_157
    | ~ spl24_158
    | ~ spl24_159
    | ~ spl24_160
    | ~ spl24_161
    | ~ spl24_162
    | ~ spl24_163
    | ~ spl24_164
    | ~ spl24_165
    | ~ spl24_166
    | ~ spl24_167
    | ~ spl24_99
    | ~ spl24_93
    | ~ spl24_78
    | ~ spl24_87
    | ~ spl24_57
    | ~ spl24_81
    | ~ spl24_36
    | spl24_16
    | ~ spl24_168
    | ~ spl24_169
    | ~ spl24_170
    | ~ spl24_171
    | ~ spl24_172
    | ~ spl24_173
    | ~ spl24_174
    | ~ spl24_175
    | spl24_11
    | spl24_6
    | spl24_1
    | ~ spl24_176 ),
    inference(avatar_split_clause,[],[f257,f1056,f260,f284,f308,f1052,f1048,f1044,f1040,f1036,f1032,f1028,f1024,f332,f428,f644,f529,f673,f630,f702,f731,f1020,f1016,f1012,f1008,f1004,f1000,f996,f992,f988,f984,f980,f976,f972,f968,f964,f960,f956,f952,f948,f944,f940,f936,f932,f928,f924,f920,f916,f912,f908,f904,f900,f896,f892,f888,f884,f880,f876,f872,f868,f864,f860,f856,f852,f848,f844,f840,f836,f832,f828,f824,f820,f816,f812,f808,f804,f800,f796,f792,f788,f784,f780,f776,f772,f768,f352,f376,f400,f424,f448,f472,f496,f520,f544,f568,f592,f616,f640,f664,f688,f712,f736,f744,f752,f760]) ).

fof(f760,plain,
    ( spl24_103
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_103])]) ).

fof(f752,plain,
    ( spl24_102
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_102])]) ).

fof(f744,plain,
    ( spl24_101
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_101])]) ).

fof(f736,plain,
    ( spl24_100
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_100])]) ).

fof(f712,plain,
    ( spl24_95
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_95])]) ).

fof(f688,plain,
    ( spl24_90
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_90])]) ).

fof(f664,plain,
    ( spl24_85
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_85])]) ).

fof(f640,plain,
    ( spl24_80
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_80])]) ).

fof(f616,plain,
    ( spl24_75
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_75])]) ).

fof(f592,plain,
    ( spl24_70
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_70])]) ).

fof(f568,plain,
    ( spl24_65
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_65])]) ).

fof(f544,plain,
    ( spl24_60
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_60])]) ).

fof(f520,plain,
    ( spl24_55
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_55])]) ).

fof(f496,plain,
    ( spl24_50
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_50])]) ).

fof(f472,plain,
    ( spl24_45
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_45])]) ).

fof(f448,plain,
    ( spl24_40
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_40])]) ).

fof(f424,plain,
    ( spl24_35
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_35])]) ).

fof(f400,plain,
    ( spl24_30
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_30])]) ).

fof(f376,plain,
    ( spl24_25
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_25])]) ).

fof(f352,plain,
    ( spl24_20
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_20])]) ).

fof(f332,plain,
    ( spl24_16
  <=> sP20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_16])]) ).

fof(f308,plain,
    ( spl24_11
  <=> sP21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_11])]) ).

fof(f284,plain,
    ( spl24_6
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_6])]) ).

fof(f260,plain,
    ( spl24_1
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).

fof(f257,plain,
    ( e3 != inv(e3)
    | sP23
    | sP22
    | sP21
    | unit != op(inv(e3),e3)
    | unit != op(e3,inv(e3))
    | unit != op(inv(e2),e2)
    | unit != op(e2,inv(e2))
    | unit != op(inv(e1),e1)
    | unit != op(e1,inv(e1))
    | unit != op(inv(unit),unit)
    | unit != op(unit,inv(unit))
    | sP20
    | e3 != op(e3,unit)
    | e3 != op(unit,e3)
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | unit != op(unit,unit)
    | op(op(e3,e3),e3) != op(e3,op(e3,e3))
    | op(op(e3,e3),e2) != op(e3,op(e3,e2))
    | op(op(e3,e3),e1) != op(e3,op(e3,e1))
    | op(op(e3,e3),unit) != op(e3,op(e3,unit))
    | op(op(e3,e2),e3) != op(e3,op(e2,e3))
    | op(op(e3,e2),e2) != op(e3,op(e2,e2))
    | op(op(e3,e2),e1) != op(e3,op(e2,e1))
    | op(op(e3,e2),unit) != op(e3,op(e2,unit))
    | op(op(e3,e1),e3) != op(e3,op(e1,e3))
    | op(op(e3,e1),e2) != op(e3,op(e1,e2))
    | op(op(e3,e1),e1) != op(e3,op(e1,e1))
    | op(op(e3,e1),unit) != op(e3,op(e1,unit))
    | op(op(e3,unit),e3) != op(e3,op(unit,e3))
    | op(op(e3,unit),e2) != op(e3,op(unit,e2))
    | op(op(e3,unit),e1) != op(e3,op(unit,e1))
    | op(op(e3,unit),unit) != op(e3,op(unit,unit))
    | op(op(e2,e3),e3) != op(e2,op(e3,e3))
    | op(op(e2,e3),e2) != op(e2,op(e3,e2))
    | op(op(e2,e3),e1) != op(e2,op(e3,e1))
    | op(op(e2,e3),unit) != op(e2,op(e3,unit))
    | op(op(e2,e2),e3) != op(e2,op(e2,e3))
    | op(op(e2,e2),e2) != op(e2,op(e2,e2))
    | op(op(e2,e2),e1) != op(e2,op(e2,e1))
    | op(op(e2,e2),unit) != op(e2,op(e2,unit))
    | op(op(e2,e1),e3) != op(e2,op(e1,e3))
    | op(op(e2,e1),e2) != op(e2,op(e1,e2))
    | op(op(e2,e1),e1) != op(e2,op(e1,e1))
    | op(op(e2,e1),unit) != op(e2,op(e1,unit))
    | op(op(e2,unit),e3) != op(e2,op(unit,e3))
    | op(op(e2,unit),e2) != op(e2,op(unit,e2))
    | op(op(e2,unit),e1) != op(e2,op(unit,e1))
    | op(op(e2,unit),unit) != op(e2,op(unit,unit))
    | op(op(e1,e3),e3) != op(e1,op(e3,e3))
    | op(op(e1,e3),e2) != op(e1,op(e3,e2))
    | op(op(e1,e3),e1) != op(e1,op(e3,e1))
    | op(op(e1,e3),unit) != op(e1,op(e3,unit))
    | op(op(e1,e2),e3) != op(e1,op(e2,e3))
    | op(op(e1,e2),e2) != op(e1,op(e2,e2))
    | op(op(e1,e2),e1) != op(e1,op(e2,e1))
    | op(op(e1,e2),unit) != op(e1,op(e2,unit))
    | op(op(e1,e1),e3) != op(e1,op(e1,e3))
    | op(op(e1,e1),e2) != op(e1,op(e1,e2))
    | op(op(e1,e1),e1) != op(e1,op(e1,e1))
    | op(op(e1,e1),unit) != op(e1,op(e1,unit))
    | op(op(e1,unit),e3) != op(e1,op(unit,e3))
    | op(op(e1,unit),e2) != op(e1,op(unit,e2))
    | op(op(e1,unit),e1) != op(e1,op(unit,e1))
    | op(op(e1,unit),unit) != op(e1,op(unit,unit))
    | op(op(unit,e3),e3) != op(unit,op(e3,e3))
    | op(op(unit,e3),e2) != op(unit,op(e3,e2))
    | op(op(unit,e3),e1) != op(unit,op(e3,e1))
    | op(op(unit,e3),unit) != op(unit,op(e3,unit))
    | op(op(unit,e2),e3) != op(unit,op(e2,e3))
    | op(op(unit,e2),e2) != op(unit,op(e2,e2))
    | op(op(unit,e2),e1) != op(unit,op(e2,e1))
    | op(op(unit,e2),unit) != op(unit,op(e2,unit))
    | op(op(unit,e1),e3) != op(unit,op(e1,e3))
    | op(op(unit,e1),e2) != op(unit,op(e1,e2))
    | op(op(unit,e1),e1) != op(unit,op(e1,e1))
    | op(op(unit,e1),unit) != op(unit,op(e1,unit))
    | op(op(unit,unit),e3) != op(unit,op(unit,e3))
    | op(op(unit,unit),e2) != op(unit,op(unit,e2))
    | op(op(unit,unit),e1) != op(unit,op(unit,e1))
    | op(op(unit,unit),unit) != op(unit,op(unit,unit))
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(duplicate_literal_removal,[],[f236]) ).

fof(f236,plain,
    ( e3 != inv(e3)
    | sP23
    | sP22
    | sP21
    | unit != op(inv(e3),e3)
    | unit != op(e3,inv(e3))
    | unit != op(inv(e2),e2)
    | unit != op(e2,inv(e2))
    | unit != op(inv(e1),e1)
    | unit != op(e1,inv(e1))
    | unit != op(inv(unit),unit)
    | unit != op(unit,inv(unit))
    | sP20
    | e3 != op(e3,unit)
    | e3 != op(unit,e3)
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | unit != op(unit,unit)
    | unit != op(unit,unit)
    | op(op(e3,e3),e3) != op(e3,op(e3,e3))
    | op(op(e3,e3),e2) != op(e3,op(e3,e2))
    | op(op(e3,e3),e1) != op(e3,op(e3,e1))
    | op(op(e3,e3),unit) != op(e3,op(e3,unit))
    | op(op(e3,e2),e3) != op(e3,op(e2,e3))
    | op(op(e3,e2),e2) != op(e3,op(e2,e2))
    | op(op(e3,e2),e1) != op(e3,op(e2,e1))
    | op(op(e3,e2),unit) != op(e3,op(e2,unit))
    | op(op(e3,e1),e3) != op(e3,op(e1,e3))
    | op(op(e3,e1),e2) != op(e3,op(e1,e2))
    | op(op(e3,e1),e1) != op(e3,op(e1,e1))
    | op(op(e3,e1),unit) != op(e3,op(e1,unit))
    | op(op(e3,unit),e3) != op(e3,op(unit,e3))
    | op(op(e3,unit),e2) != op(e3,op(unit,e2))
    | op(op(e3,unit),e1) != op(e3,op(unit,e1))
    | op(op(e3,unit),unit) != op(e3,op(unit,unit))
    | op(op(e2,e3),e3) != op(e2,op(e3,e3))
    | op(op(e2,e3),e2) != op(e2,op(e3,e2))
    | op(op(e2,e3),e1) != op(e2,op(e3,e1))
    | op(op(e2,e3),unit) != op(e2,op(e3,unit))
    | op(op(e2,e2),e3) != op(e2,op(e2,e3))
    | op(op(e2,e2),e2) != op(e2,op(e2,e2))
    | op(op(e2,e2),e1) != op(e2,op(e2,e1))
    | op(op(e2,e2),unit) != op(e2,op(e2,unit))
    | op(op(e2,e1),e3) != op(e2,op(e1,e3))
    | op(op(e2,e1),e2) != op(e2,op(e1,e2))
    | op(op(e2,e1),e1) != op(e2,op(e1,e1))
    | op(op(e2,e1),unit) != op(e2,op(e1,unit))
    | op(op(e2,unit),e3) != op(e2,op(unit,e3))
    | op(op(e2,unit),e2) != op(e2,op(unit,e2))
    | op(op(e2,unit),e1) != op(e2,op(unit,e1))
    | op(op(e2,unit),unit) != op(e2,op(unit,unit))
    | op(op(e1,e3),e3) != op(e1,op(e3,e3))
    | op(op(e1,e3),e2) != op(e1,op(e3,e2))
    | op(op(e1,e3),e1) != op(e1,op(e3,e1))
    | op(op(e1,e3),unit) != op(e1,op(e3,unit))
    | op(op(e1,e2),e3) != op(e1,op(e2,e3))
    | op(op(e1,e2),e2) != op(e1,op(e2,e2))
    | op(op(e1,e2),e1) != op(e1,op(e2,e1))
    | op(op(e1,e2),unit) != op(e1,op(e2,unit))
    | op(op(e1,e1),e3) != op(e1,op(e1,e3))
    | op(op(e1,e1),e2) != op(e1,op(e1,e2))
    | op(op(e1,e1),e1) != op(e1,op(e1,e1))
    | op(op(e1,e1),unit) != op(e1,op(e1,unit))
    | op(op(e1,unit),e3) != op(e1,op(unit,e3))
    | op(op(e1,unit),e2) != op(e1,op(unit,e2))
    | op(op(e1,unit),e1) != op(e1,op(unit,e1))
    | op(op(e1,unit),unit) != op(e1,op(unit,unit))
    | op(op(unit,e3),e3) != op(unit,op(e3,e3))
    | op(op(unit,e3),e2) != op(unit,op(e3,e2))
    | op(op(unit,e3),e1) != op(unit,op(e3,e1))
    | op(op(unit,e3),unit) != op(unit,op(e3,unit))
    | op(op(unit,e2),e3) != op(unit,op(e2,e3))
    | op(op(unit,e2),e2) != op(unit,op(e2,e2))
    | op(op(unit,e2),e1) != op(unit,op(e2,e1))
    | op(op(unit,e2),unit) != op(unit,op(e2,unit))
    | op(op(unit,e1),e3) != op(unit,op(e1,e3))
    | op(op(unit,e1),e2) != op(unit,op(e1,e2))
    | op(op(unit,e1),e1) != op(unit,op(e1,e1))
    | op(op(unit,e1),unit) != op(unit,op(e1,unit))
    | op(op(unit,unit),e3) != op(unit,op(unit,e3))
    | op(op(unit,unit),e2) != op(unit,op(unit,e2))
    | op(op(unit,unit),e1) != op(unit,op(unit,e1))
    | op(op(unit,unit),unit) != op(unit,op(unit,unit))
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(definition_unfolding,[],[f157,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162,f162]) ).

fof(f157,plain,
    ( e3 != inv(e3)
    | sP23
    | sP22
    | sP21
    | unit != op(inv(e3),e3)
    | unit != op(e3,inv(e3))
    | unit != op(inv(e2),e2)
    | unit != op(e2,inv(e2))
    | unit != op(inv(e1),e1)
    | unit != op(e1,inv(e1))
    | unit != op(inv(e0),e0)
    | unit != op(e0,inv(e0))
    | sP20
    | e3 != op(e3,unit)
    | e3 != op(unit,e3)
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | e0 != op(e0,unit)
    | e0 != op(unit,e0)
    | op(op(e3,e3),e3) != op(e3,op(e3,e3))
    | op(op(e3,e3),e2) != op(e3,op(e3,e2))
    | op(op(e3,e3),e1) != op(e3,op(e3,e1))
    | op(op(e3,e3),e0) != op(e3,op(e3,e0))
    | op(op(e3,e2),e3) != op(e3,op(e2,e3))
    | op(op(e3,e2),e2) != op(e3,op(e2,e2))
    | op(op(e3,e2),e1) != op(e3,op(e2,e1))
    | op(op(e3,e2),e0) != op(e3,op(e2,e0))
    | op(op(e3,e1),e3) != op(e3,op(e1,e3))
    | op(op(e3,e1),e2) != op(e3,op(e1,e2))
    | op(op(e3,e1),e1) != op(e3,op(e1,e1))
    | op(op(e3,e1),e0) != op(e3,op(e1,e0))
    | op(op(e3,e0),e3) != op(e3,op(e0,e3))
    | op(op(e3,e0),e2) != op(e3,op(e0,e2))
    | op(op(e3,e0),e1) != op(e3,op(e0,e1))
    | op(op(e3,e0),e0) != op(e3,op(e0,e0))
    | op(op(e2,e3),e3) != op(e2,op(e3,e3))
    | op(op(e2,e3),e2) != op(e2,op(e3,e2))
    | op(op(e2,e3),e1) != op(e2,op(e3,e1))
    | op(op(e2,e3),e0) != op(e2,op(e3,e0))
    | op(op(e2,e2),e3) != op(e2,op(e2,e3))
    | op(op(e2,e2),e2) != op(e2,op(e2,e2))
    | op(op(e2,e2),e1) != op(e2,op(e2,e1))
    | op(op(e2,e2),e0) != op(e2,op(e2,e0))
    | op(op(e2,e1),e3) != op(e2,op(e1,e3))
    | op(op(e2,e1),e2) != op(e2,op(e1,e2))
    | op(op(e2,e1),e1) != op(e2,op(e1,e1))
    | op(op(e2,e1),e0) != op(e2,op(e1,e0))
    | op(op(e2,e0),e3) != op(e2,op(e0,e3))
    | op(op(e2,e0),e2) != op(e2,op(e0,e2))
    | op(op(e2,e0),e1) != op(e2,op(e0,e1))
    | op(op(e2,e0),e0) != op(e2,op(e0,e0))
    | op(op(e1,e3),e3) != op(e1,op(e3,e3))
    | op(op(e1,e3),e2) != op(e1,op(e3,e2))
    | op(op(e1,e3),e1) != op(e1,op(e3,e1))
    | op(op(e1,e3),e0) != op(e1,op(e3,e0))
    | op(op(e1,e2),e3) != op(e1,op(e2,e3))
    | op(op(e1,e2),e2) != op(e1,op(e2,e2))
    | op(op(e1,e2),e1) != op(e1,op(e2,e1))
    | op(op(e1,e2),e0) != op(e1,op(e2,e0))
    | op(op(e1,e1),e3) != op(e1,op(e1,e3))
    | op(op(e1,e1),e2) != op(e1,op(e1,e2))
    | op(op(e1,e1),e1) != op(e1,op(e1,e1))
    | op(op(e1,e1),e0) != op(e1,op(e1,e0))
    | op(op(e1,e0),e3) != op(e1,op(e0,e3))
    | op(op(e1,e0),e2) != op(e1,op(e0,e2))
    | op(op(e1,e0),e1) != op(e1,op(e0,e1))
    | op(op(e1,e0),e0) != op(e1,op(e0,e0))
    | op(op(e0,e3),e3) != op(e0,op(e3,e3))
    | op(op(e0,e3),e2) != op(e0,op(e3,e2))
    | op(op(e0,e3),e1) != op(e0,op(e3,e1))
    | op(op(e0,e3),e0) != op(e0,op(e3,e0))
    | op(op(e0,e2),e3) != op(e0,op(e2,e3))
    | op(op(e0,e2),e2) != op(e0,op(e2,e2))
    | op(op(e0,e2),e1) != op(e0,op(e2,e1))
    | op(op(e0,e2),e0) != op(e0,op(e2,e0))
    | op(op(e0,e1),e3) != op(e0,op(e1,e3))
    | op(op(e0,e1),e2) != op(e0,op(e1,e2))
    | op(op(e0,e1),e1) != op(e0,op(e1,e1))
    | op(op(e0,e1),e0) != op(e0,op(e1,e0))
    | op(op(e0,e0),e3) != op(e0,op(e0,e3))
    | op(op(e0,e0),e2) != op(e0,op(e0,e2))
    | op(op(e0,e0),e1) != op(e0,op(e0,e1))
    | op(op(e0,e0),e0) != op(e0,op(e0,e0))
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ( ( e3 != inv(e3)
      & e2 != inv(e3)
      & e1 != inv(e3)
      & e0 != inv(e3) )
    | sP23
    | sP22
    | sP21
    | unit != op(inv(e3),e3)
    | unit != op(e3,inv(e3))
    | unit != op(inv(e2),e2)
    | unit != op(e2,inv(e2))
    | unit != op(inv(e1),e1)
    | unit != op(e1,inv(e1))
    | unit != op(inv(e0),e0)
    | unit != op(e0,inv(e0))
    | sP20
    | e3 != op(e3,unit)
    | e3 != op(unit,e3)
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | e0 != op(e0,unit)
    | e0 != op(unit,e0)
    | op(op(e3,e3),e3) != op(e3,op(e3,e3))
    | op(op(e3,e3),e2) != op(e3,op(e3,e2))
    | op(op(e3,e3),e1) != op(e3,op(e3,e1))
    | op(op(e3,e3),e0) != op(e3,op(e3,e0))
    | op(op(e3,e2),e3) != op(e3,op(e2,e3))
    | op(op(e3,e2),e2) != op(e3,op(e2,e2))
    | op(op(e3,e2),e1) != op(e3,op(e2,e1))
    | op(op(e3,e2),e0) != op(e3,op(e2,e0))
    | op(op(e3,e1),e3) != op(e3,op(e1,e3))
    | op(op(e3,e1),e2) != op(e3,op(e1,e2))
    | op(op(e3,e1),e1) != op(e3,op(e1,e1))
    | op(op(e3,e1),e0) != op(e3,op(e1,e0))
    | op(op(e3,e0),e3) != op(e3,op(e0,e3))
    | op(op(e3,e0),e2) != op(e3,op(e0,e2))
    | op(op(e3,e0),e1) != op(e3,op(e0,e1))
    | op(op(e3,e0),e0) != op(e3,op(e0,e0))
    | op(op(e2,e3),e3) != op(e2,op(e3,e3))
    | op(op(e2,e3),e2) != op(e2,op(e3,e2))
    | op(op(e2,e3),e1) != op(e2,op(e3,e1))
    | op(op(e2,e3),e0) != op(e2,op(e3,e0))
    | op(op(e2,e2),e3) != op(e2,op(e2,e3))
    | op(op(e2,e2),e2) != op(e2,op(e2,e2))
    | op(op(e2,e2),e1) != op(e2,op(e2,e1))
    | op(op(e2,e2),e0) != op(e2,op(e2,e0))
    | op(op(e2,e1),e3) != op(e2,op(e1,e3))
    | op(op(e2,e1),e2) != op(e2,op(e1,e2))
    | op(op(e2,e1),e1) != op(e2,op(e1,e1))
    | op(op(e2,e1),e0) != op(e2,op(e1,e0))
    | op(op(e2,e0),e3) != op(e2,op(e0,e3))
    | op(op(e2,e0),e2) != op(e2,op(e0,e2))
    | op(op(e2,e0),e1) != op(e2,op(e0,e1))
    | op(op(e2,e0),e0) != op(e2,op(e0,e0))
    | op(op(e1,e3),e3) != op(e1,op(e3,e3))
    | op(op(e1,e3),e2) != op(e1,op(e3,e2))
    | op(op(e1,e3),e1) != op(e1,op(e3,e1))
    | op(op(e1,e3),e0) != op(e1,op(e3,e0))
    | op(op(e1,e2),e3) != op(e1,op(e2,e3))
    | op(op(e1,e2),e2) != op(e1,op(e2,e2))
    | op(op(e1,e2),e1) != op(e1,op(e2,e1))
    | op(op(e1,e2),e0) != op(e1,op(e2,e0))
    | op(op(e1,e1),e3) != op(e1,op(e1,e3))
    | op(op(e1,e1),e2) != op(e1,op(e1,e2))
    | op(op(e1,e1),e1) != op(e1,op(e1,e1))
    | op(op(e1,e1),e0) != op(e1,op(e1,e0))
    | op(op(e1,e0),e3) != op(e1,op(e0,e3))
    | op(op(e1,e0),e2) != op(e1,op(e0,e2))
    | op(op(e1,e0),e1) != op(e1,op(e0,e1))
    | op(op(e1,e0),e0) != op(e1,op(e0,e0))
    | op(op(e0,e3),e3) != op(e0,op(e3,e3))
    | op(op(e0,e3),e2) != op(e0,op(e3,e2))
    | op(op(e0,e3),e1) != op(e0,op(e3,e1))
    | op(op(e0,e3),e0) != op(e0,op(e3,e0))
    | op(op(e0,e2),e3) != op(e0,op(e2,e3))
    | op(op(e0,e2),e2) != op(e0,op(e2,e2))
    | op(op(e0,e2),e1) != op(e0,op(e2,e1))
    | op(op(e0,e2),e0) != op(e0,op(e2,e0))
    | op(op(e0,e1),e3) != op(e0,op(e1,e3))
    | op(op(e0,e1),e2) != op(e0,op(e1,e2))
    | op(op(e0,e1),e1) != op(e0,op(e1,e1))
    | op(op(e0,e1),e0) != op(e0,op(e1,e0))
    | op(op(e0,e0),e3) != op(e0,op(e0,e3))
    | op(op(e0,e0),e2) != op(e0,op(e0,e2))
    | op(op(e0,e0),e1) != op(e0,op(e0,e1))
    | op(op(e0,e0),e0) != op(e0,op(e0,e0))
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(definition_folding,[],[f8,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).

fof(f9,plain,
    ( ( e0 = op(e3,e3)
      & e0 = op(e2,e2)
      & e0 = op(e1,e1)
      & e0 = op(e0,e0) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f10,plain,
    ( ( e1 = op(e3,e3)
      & e1 = op(e2,e2)
      & e1 = op(e1,e1)
      & e1 = op(e0,e0) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f11,plain,
    ( ( e2 = op(e3,e3)
      & e2 = op(e2,e2)
      & e2 = op(e1,e1)
      & e2 = op(e0,e0) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f12,plain,
    ( ( e3 = op(e3,e3)
      & e3 = op(e2,e2)
      & e3 = op(e1,e1)
      & e3 = op(e0,e0) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f13,plain,
    ( ( e3 != op(e0,e0)
      & e2 != op(e0,e0)
      & e1 != op(e0,e0)
      & e0 != op(e0,e0) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f14,plain,
    ( ( e3 != op(e0,e1)
      & e2 != op(e0,e1)
      & e1 != op(e0,e1)
      & e0 != op(e0,e1) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f15,plain,
    ( ( e3 != op(e0,e2)
      & e2 != op(e0,e2)
      & e1 != op(e0,e2)
      & e0 != op(e0,e2) )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f16,plain,
    ( ( e3 != op(e0,e3)
      & e2 != op(e0,e3)
      & e1 != op(e0,e3)
      & e0 != op(e0,e3) )
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f17,plain,
    ( ( e3 != op(e1,e0)
      & e2 != op(e1,e0)
      & e1 != op(e1,e0)
      & e0 != op(e1,e0) )
    | ~ sP8 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f18,plain,
    ( ( e3 != op(e1,e1)
      & e2 != op(e1,e1)
      & e1 != op(e1,e1)
      & e0 != op(e1,e1) )
    | ~ sP9 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f19,plain,
    ( ( e3 != op(e1,e2)
      & e2 != op(e1,e2)
      & e1 != op(e1,e2)
      & e0 != op(e1,e2) )
    | ~ sP10 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f20,plain,
    ( ( e3 != op(e1,e3)
      & e2 != op(e1,e3)
      & e1 != op(e1,e3)
      & e0 != op(e1,e3) )
    | ~ sP11 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f21,plain,
    ( ( e3 != op(e2,e0)
      & e2 != op(e2,e0)
      & e1 != op(e2,e0)
      & e0 != op(e2,e0) )
    | ~ sP12 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f22,plain,
    ( ( e3 != op(e2,e1)
      & e2 != op(e2,e1)
      & e1 != op(e2,e1)
      & e0 != op(e2,e1) )
    | ~ sP13 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f23,plain,
    ( ( e3 != op(e2,e2)
      & e2 != op(e2,e2)
      & e1 != op(e2,e2)
      & e0 != op(e2,e2) )
    | ~ sP14 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f24,plain,
    ( ( e3 != op(e2,e3)
      & e2 != op(e2,e3)
      & e1 != op(e2,e3)
      & e0 != op(e2,e3) )
    | ~ sP15 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f25,plain,
    ( ( e3 != op(e3,e0)
      & e2 != op(e3,e0)
      & e1 != op(e3,e0)
      & e0 != op(e3,e0) )
    | ~ sP16 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f26,plain,
    ( ( e3 != op(e3,e1)
      & e2 != op(e3,e1)
      & e1 != op(e3,e1)
      & e0 != op(e3,e1) )
    | ~ sP17 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f27,plain,
    ( ( e3 != op(e3,e2)
      & e2 != op(e3,e2)
      & e1 != op(e3,e2)
      & e0 != op(e3,e2) )
    | ~ sP18 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

fof(f28,plain,
    ( ( e3 != op(e3,e3)
      & e2 != op(e3,e3)
      & e1 != op(e3,e3)
      & e0 != op(e3,e3) )
    | ~ sP19 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).

fof(f29,plain,
    ( ( e3 != unit
      & e2 != unit
      & e1 != unit
      & e0 != unit )
    | ~ sP20 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).

fof(f30,plain,
    ( ( e3 != inv(e0)
      & e2 != inv(e0)
      & e1 != inv(e0)
      & e0 != inv(e0) )
    | ~ sP21 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).

fof(f31,plain,
    ( ( e3 != inv(e1)
      & e2 != inv(e1)
      & e1 != inv(e1)
      & e0 != inv(e1) )
    | ~ sP22 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).

fof(f32,plain,
    ( ( e3 != inv(e2)
      & e2 != inv(e2)
      & e1 != inv(e2)
      & e0 != inv(e2) )
    | ~ sP23 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).

fof(f8,plain,
    ( ( e3 != inv(e3)
      & e2 != inv(e3)
      & e1 != inv(e3)
      & e0 != inv(e3) )
    | ( e3 != inv(e2)
      & e2 != inv(e2)
      & e1 != inv(e2)
      & e0 != inv(e2) )
    | ( e3 != inv(e1)
      & e2 != inv(e1)
      & e1 != inv(e1)
      & e0 != inv(e1) )
    | ( e3 != inv(e0)
      & e2 != inv(e0)
      & e1 != inv(e0)
      & e0 != inv(e0) )
    | unit != op(inv(e3),e3)
    | unit != op(e3,inv(e3))
    | unit != op(inv(e2),e2)
    | unit != op(e2,inv(e2))
    | unit != op(inv(e1),e1)
    | unit != op(e1,inv(e1))
    | unit != op(inv(e0),e0)
    | unit != op(e0,inv(e0))
    | ( e3 != unit
      & e2 != unit
      & e1 != unit
      & e0 != unit )
    | e3 != op(e3,unit)
    | e3 != op(unit,e3)
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | e0 != op(e0,unit)
    | e0 != op(unit,e0)
    | op(op(e3,e3),e3) != op(e3,op(e3,e3))
    | op(op(e3,e3),e2) != op(e3,op(e3,e2))
    | op(op(e3,e3),e1) != op(e3,op(e3,e1))
    | op(op(e3,e3),e0) != op(e3,op(e3,e0))
    | op(op(e3,e2),e3) != op(e3,op(e2,e3))
    | op(op(e3,e2),e2) != op(e3,op(e2,e2))
    | op(op(e3,e2),e1) != op(e3,op(e2,e1))
    | op(op(e3,e2),e0) != op(e3,op(e2,e0))
    | op(op(e3,e1),e3) != op(e3,op(e1,e3))
    | op(op(e3,e1),e2) != op(e3,op(e1,e2))
    | op(op(e3,e1),e1) != op(e3,op(e1,e1))
    | op(op(e3,e1),e0) != op(e3,op(e1,e0))
    | op(op(e3,e0),e3) != op(e3,op(e0,e3))
    | op(op(e3,e0),e2) != op(e3,op(e0,e2))
    | op(op(e3,e0),e1) != op(e3,op(e0,e1))
    | op(op(e3,e0),e0) != op(e3,op(e0,e0))
    | op(op(e2,e3),e3) != op(e2,op(e3,e3))
    | op(op(e2,e3),e2) != op(e2,op(e3,e2))
    | op(op(e2,e3),e1) != op(e2,op(e3,e1))
    | op(op(e2,e3),e0) != op(e2,op(e3,e0))
    | op(op(e2,e2),e3) != op(e2,op(e2,e3))
    | op(op(e2,e2),e2) != op(e2,op(e2,e2))
    | op(op(e2,e2),e1) != op(e2,op(e2,e1))
    | op(op(e2,e2),e0) != op(e2,op(e2,e0))
    | op(op(e2,e1),e3) != op(e2,op(e1,e3))
    | op(op(e2,e1),e2) != op(e2,op(e1,e2))
    | op(op(e2,e1),e1) != op(e2,op(e1,e1))
    | op(op(e2,e1),e0) != op(e2,op(e1,e0))
    | op(op(e2,e0),e3) != op(e2,op(e0,e3))
    | op(op(e2,e0),e2) != op(e2,op(e0,e2))
    | op(op(e2,e0),e1) != op(e2,op(e0,e1))
    | op(op(e2,e0),e0) != op(e2,op(e0,e0))
    | op(op(e1,e3),e3) != op(e1,op(e3,e3))
    | op(op(e1,e3),e2) != op(e1,op(e3,e2))
    | op(op(e1,e3),e1) != op(e1,op(e3,e1))
    | op(op(e1,e3),e0) != op(e1,op(e3,e0))
    | op(op(e1,e2),e3) != op(e1,op(e2,e3))
    | op(op(e1,e2),e2) != op(e1,op(e2,e2))
    | op(op(e1,e2),e1) != op(e1,op(e2,e1))
    | op(op(e1,e2),e0) != op(e1,op(e2,e0))
    | op(op(e1,e1),e3) != op(e1,op(e1,e3))
    | op(op(e1,e1),e2) != op(e1,op(e1,e2))
    | op(op(e1,e1),e1) != op(e1,op(e1,e1))
    | op(op(e1,e1),e0) != op(e1,op(e1,e0))
    | op(op(e1,e0),e3) != op(e1,op(e0,e3))
    | op(op(e1,e0),e2) != op(e1,op(e0,e2))
    | op(op(e1,e0),e1) != op(e1,op(e0,e1))
    | op(op(e1,e0),e0) != op(e1,op(e0,e0))
    | op(op(e0,e3),e3) != op(e0,op(e3,e3))
    | op(op(e0,e3),e2) != op(e0,op(e3,e2))
    | op(op(e0,e3),e1) != op(e0,op(e3,e1))
    | op(op(e0,e3),e0) != op(e0,op(e3,e0))
    | op(op(e0,e2),e3) != op(e0,op(e2,e3))
    | op(op(e0,e2),e2) != op(e0,op(e2,e2))
    | op(op(e0,e2),e1) != op(e0,op(e2,e1))
    | op(op(e0,e2),e0) != op(e0,op(e2,e0))
    | op(op(e0,e1),e3) != op(e0,op(e1,e3))
    | op(op(e0,e1),e2) != op(e0,op(e1,e2))
    | op(op(e0,e1),e1) != op(e0,op(e1,e1))
    | op(op(e0,e1),e0) != op(e0,op(e1,e0))
    | op(op(e0,e0),e3) != op(e0,op(e0,e3))
    | op(op(e0,e0),e2) != op(e0,op(e0,e2))
    | op(op(e0,e0),e1) != op(e0,op(e0,e1))
    | op(op(e0,e0),e0) != op(e0,op(e0,e0))
    | ( e3 != op(e3,e3)
      & e2 != op(e3,e3)
      & e1 != op(e3,e3)
      & e0 != op(e3,e3) )
    | ( e3 != op(e3,e2)
      & e2 != op(e3,e2)
      & e1 != op(e3,e2)
      & e0 != op(e3,e2) )
    | ( e3 != op(e3,e1)
      & e2 != op(e3,e1)
      & e1 != op(e3,e1)
      & e0 != op(e3,e1) )
    | ( e3 != op(e3,e0)
      & e2 != op(e3,e0)
      & e1 != op(e3,e0)
      & e0 != op(e3,e0) )
    | ( e3 != op(e2,e3)
      & e2 != op(e2,e3)
      & e1 != op(e2,e3)
      & e0 != op(e2,e3) )
    | ( e3 != op(e2,e2)
      & e2 != op(e2,e2)
      & e1 != op(e2,e2)
      & e0 != op(e2,e2) )
    | ( e3 != op(e2,e1)
      & e2 != op(e2,e1)
      & e1 != op(e2,e1)
      & e0 != op(e2,e1) )
    | ( e3 != op(e2,e0)
      & e2 != op(e2,e0)
      & e1 != op(e2,e0)
      & e0 != op(e2,e0) )
    | ( e3 != op(e1,e3)
      & e2 != op(e1,e3)
      & e1 != op(e1,e3)
      & e0 != op(e1,e3) )
    | ( e3 != op(e1,e2)
      & e2 != op(e1,e2)
      & e1 != op(e1,e2)
      & e0 != op(e1,e2) )
    | ( e3 != op(e1,e1)
      & e2 != op(e1,e1)
      & e1 != op(e1,e1)
      & e0 != op(e1,e1) )
    | ( e3 != op(e1,e0)
      & e2 != op(e1,e0)
      & e1 != op(e1,e0)
      & e0 != op(e1,e0) )
    | ( e3 != op(e0,e3)
      & e2 != op(e0,e3)
      & e1 != op(e0,e3)
      & e0 != op(e0,e3) )
    | ( e3 != op(e0,e2)
      & e2 != op(e0,e2)
      & e1 != op(e0,e2)
      & e0 != op(e0,e2) )
    | ( e3 != op(e0,e1)
      & e2 != op(e0,e1)
      & e1 != op(e0,e1)
      & e0 != op(e0,e1) )
    | ( e3 != op(e0,e0)
      & e2 != op(e0,e0)
      & e1 != op(e0,e0)
      & e0 != op(e0,e0) )
    | ( e3 = op(e3,e3)
      & e3 = op(e2,e2)
      & e3 = op(e1,e1)
      & e3 = op(e0,e0) )
    | ( e2 = op(e3,e3)
      & e2 = op(e2,e2)
      & e2 = op(e1,e1)
      & e2 = op(e0,e0) )
    | ( e1 = op(e3,e3)
      & e1 = op(e2,e2)
      & e1 = op(e1,e1)
      & e1 = op(e0,e0) )
    | ( e0 = op(e3,e3)
      & e0 = op(e2,e2)
      & e0 = op(e1,e1)
      & e0 = op(e0,e0) ) ),
    inference(flattening,[],[f7]) ).

fof(f7,plain,
    ( ( e3 != inv(e3)
      & e2 != inv(e3)
      & e1 != inv(e3)
      & e0 != inv(e3) )
    | ( e3 != inv(e2)
      & e2 != inv(e2)
      & e1 != inv(e2)
      & e0 != inv(e2) )
    | ( e3 != inv(e1)
      & e2 != inv(e1)
      & e1 != inv(e1)
      & e0 != inv(e1) )
    | ( e3 != inv(e0)
      & e2 != inv(e0)
      & e1 != inv(e0)
      & e0 != inv(e0) )
    | unit != op(inv(e3),e3)
    | unit != op(e3,inv(e3))
    | unit != op(inv(e2),e2)
    | unit != op(e2,inv(e2))
    | unit != op(inv(e1),e1)
    | unit != op(e1,inv(e1))
    | unit != op(inv(e0),e0)
    | unit != op(e0,inv(e0))
    | ( e3 != unit
      & e2 != unit
      & e1 != unit
      & e0 != unit )
    | e3 != op(e3,unit)
    | e3 != op(unit,e3)
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | e0 != op(e0,unit)
    | e0 != op(unit,e0)
    | op(op(e3,e3),e3) != op(e3,op(e3,e3))
    | op(op(e3,e3),e2) != op(e3,op(e3,e2))
    | op(op(e3,e3),e1) != op(e3,op(e3,e1))
    | op(op(e3,e3),e0) != op(e3,op(e3,e0))
    | op(op(e3,e2),e3) != op(e3,op(e2,e3))
    | op(op(e3,e2),e2) != op(e3,op(e2,e2))
    | op(op(e3,e2),e1) != op(e3,op(e2,e1))
    | op(op(e3,e2),e0) != op(e3,op(e2,e0))
    | op(op(e3,e1),e3) != op(e3,op(e1,e3))
    | op(op(e3,e1),e2) != op(e3,op(e1,e2))
    | op(op(e3,e1),e1) != op(e3,op(e1,e1))
    | op(op(e3,e1),e0) != op(e3,op(e1,e0))
    | op(op(e3,e0),e3) != op(e3,op(e0,e3))
    | op(op(e3,e0),e2) != op(e3,op(e0,e2))
    | op(op(e3,e0),e1) != op(e3,op(e0,e1))
    | op(op(e3,e0),e0) != op(e3,op(e0,e0))
    | op(op(e2,e3),e3) != op(e2,op(e3,e3))
    | op(op(e2,e3),e2) != op(e2,op(e3,e2))
    | op(op(e2,e3),e1) != op(e2,op(e3,e1))
    | op(op(e2,e3),e0) != op(e2,op(e3,e0))
    | op(op(e2,e2),e3) != op(e2,op(e2,e3))
    | op(op(e2,e2),e2) != op(e2,op(e2,e2))
    | op(op(e2,e2),e1) != op(e2,op(e2,e1))
    | op(op(e2,e2),e0) != op(e2,op(e2,e0))
    | op(op(e2,e1),e3) != op(e2,op(e1,e3))
    | op(op(e2,e1),e2) != op(e2,op(e1,e2))
    | op(op(e2,e1),e1) != op(e2,op(e1,e1))
    | op(op(e2,e1),e0) != op(e2,op(e1,e0))
    | op(op(e2,e0),e3) != op(e2,op(e0,e3))
    | op(op(e2,e0),e2) != op(e2,op(e0,e2))
    | op(op(e2,e0),e1) != op(e2,op(e0,e1))
    | op(op(e2,e0),e0) != op(e2,op(e0,e0))
    | op(op(e1,e3),e3) != op(e1,op(e3,e3))
    | op(op(e1,e3),e2) != op(e1,op(e3,e2))
    | op(op(e1,e3),e1) != op(e1,op(e3,e1))
    | op(op(e1,e3),e0) != op(e1,op(e3,e0))
    | op(op(e1,e2),e3) != op(e1,op(e2,e3))
    | op(op(e1,e2),e2) != op(e1,op(e2,e2))
    | op(op(e1,e2),e1) != op(e1,op(e2,e1))
    | op(op(e1,e2),e0) != op(e1,op(e2,e0))
    | op(op(e1,e1),e3) != op(e1,op(e1,e3))
    | op(op(e1,e1),e2) != op(e1,op(e1,e2))
    | op(op(e1,e1),e1) != op(e1,op(e1,e1))
    | op(op(e1,e1),e0) != op(e1,op(e1,e0))
    | op(op(e1,e0),e3) != op(e1,op(e0,e3))
    | op(op(e1,e0),e2) != op(e1,op(e0,e2))
    | op(op(e1,e0),e1) != op(e1,op(e0,e1))
    | op(op(e1,e0),e0) != op(e1,op(e0,e0))
    | op(op(e0,e3),e3) != op(e0,op(e3,e3))
    | op(op(e0,e3),e2) != op(e0,op(e3,e2))
    | op(op(e0,e3),e1) != op(e0,op(e3,e1))
    | op(op(e0,e3),e0) != op(e0,op(e3,e0))
    | op(op(e0,e2),e3) != op(e0,op(e2,e3))
    | op(op(e0,e2),e2) != op(e0,op(e2,e2))
    | op(op(e0,e2),e1) != op(e0,op(e2,e1))
    | op(op(e0,e2),e0) != op(e0,op(e2,e0))
    | op(op(e0,e1),e3) != op(e0,op(e1,e3))
    | op(op(e0,e1),e2) != op(e0,op(e1,e2))
    | op(op(e0,e1),e1) != op(e0,op(e1,e1))
    | op(op(e0,e1),e0) != op(e0,op(e1,e0))
    | op(op(e0,e0),e3) != op(e0,op(e0,e3))
    | op(op(e0,e0),e2) != op(e0,op(e0,e2))
    | op(op(e0,e0),e1) != op(e0,op(e0,e1))
    | op(op(e0,e0),e0) != op(e0,op(e0,e0))
    | ( e3 != op(e3,e3)
      & e2 != op(e3,e3)
      & e1 != op(e3,e3)
      & e0 != op(e3,e3) )
    | ( e3 != op(e3,e2)
      & e2 != op(e3,e2)
      & e1 != op(e3,e2)
      & e0 != op(e3,e2) )
    | ( e3 != op(e3,e1)
      & e2 != op(e3,e1)
      & e1 != op(e3,e1)
      & e0 != op(e3,e1) )
    | ( e3 != op(e3,e0)
      & e2 != op(e3,e0)
      & e1 != op(e3,e0)
      & e0 != op(e3,e0) )
    | ( e3 != op(e2,e3)
      & e2 != op(e2,e3)
      & e1 != op(e2,e3)
      & e0 != op(e2,e3) )
    | ( e3 != op(e2,e2)
      & e2 != op(e2,e2)
      & e1 != op(e2,e2)
      & e0 != op(e2,e2) )
    | ( e3 != op(e2,e1)
      & e2 != op(e2,e1)
      & e1 != op(e2,e1)
      & e0 != op(e2,e1) )
    | ( e3 != op(e2,e0)
      & e2 != op(e2,e0)
      & e1 != op(e2,e0)
      & e0 != op(e2,e0) )
    | ( e3 != op(e1,e3)
      & e2 != op(e1,e3)
      & e1 != op(e1,e3)
      & e0 != op(e1,e3) )
    | ( e3 != op(e1,e2)
      & e2 != op(e1,e2)
      & e1 != op(e1,e2)
      & e0 != op(e1,e2) )
    | ( e3 != op(e1,e1)
      & e2 != op(e1,e1)
      & e1 != op(e1,e1)
      & e0 != op(e1,e1) )
    | ( e3 != op(e1,e0)
      & e2 != op(e1,e0)
      & e1 != op(e1,e0)
      & e0 != op(e1,e0) )
    | ( e3 != op(e0,e3)
      & e2 != op(e0,e3)
      & e1 != op(e0,e3)
      & e0 != op(e0,e3) )
    | ( e3 != op(e0,e2)
      & e2 != op(e0,e2)
      & e1 != op(e0,e2)
      & e0 != op(e0,e2) )
    | ( e3 != op(e0,e1)
      & e2 != op(e0,e1)
      & e1 != op(e0,e1)
      & e0 != op(e0,e1) )
    | ( e3 != op(e0,e0)
      & e2 != op(e0,e0)
      & e1 != op(e0,e0)
      & e0 != op(e0,e0) )
    | ( e3 = op(e3,e3)
      & e3 = op(e2,e2)
      & e3 = op(e1,e1)
      & e3 = op(e0,e0) )
    | ( e2 = op(e3,e3)
      & e2 = op(e2,e2)
      & e2 = op(e1,e1)
      & e2 = op(e0,e0) )
    | ( e1 = op(e3,e3)
      & e1 = op(e2,e2)
      & e1 = op(e1,e1)
      & e1 = op(e0,e0) )
    | ( e0 = op(e3,e3)
      & e0 = op(e2,e2)
      & e0 = op(e1,e1)
      & e0 = op(e0,e0) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ( ( e3 = inv(e3)
        | e2 = inv(e3)
        | e1 = inv(e3)
        | e0 = inv(e3) )
      & ( e3 = inv(e2)
        | e2 = inv(e2)
        | e1 = inv(e2)
        | e0 = inv(e2) )
      & ( e3 = inv(e1)
        | e2 = inv(e1)
        | e1 = inv(e1)
        | e0 = inv(e1) )
      & ( e3 = inv(e0)
        | e2 = inv(e0)
        | e1 = inv(e0)
        | e0 = inv(e0) )
      & unit = op(inv(e3),e3)
      & unit = op(e3,inv(e3))
      & unit = op(inv(e2),e2)
      & unit = op(e2,inv(e2))
      & unit = op(inv(e1),e1)
      & unit = op(e1,inv(e1))
      & unit = op(inv(e0),e0)
      & unit = op(e0,inv(e0))
      & ( e3 = unit
        | e2 = unit
        | e1 = unit
        | e0 = unit )
      & e3 = op(e3,unit)
      & e3 = op(unit,e3)
      & e2 = op(e2,unit)
      & e2 = op(unit,e2)
      & e1 = op(e1,unit)
      & e1 = op(unit,e1)
      & e0 = op(e0,unit)
      & e0 = op(unit,e0)
      & op(op(e3,e3),e3) = op(e3,op(e3,e3))
      & op(op(e3,e3),e2) = op(e3,op(e3,e2))
      & op(op(e3,e3),e1) = op(e3,op(e3,e1))
      & op(op(e3,e3),e0) = op(e3,op(e3,e0))
      & op(op(e3,e2),e3) = op(e3,op(e2,e3))
      & op(op(e3,e2),e2) = op(e3,op(e2,e2))
      & op(op(e3,e2),e1) = op(e3,op(e2,e1))
      & op(op(e3,e2),e0) = op(e3,op(e2,e0))
      & op(op(e3,e1),e3) = op(e3,op(e1,e3))
      & op(op(e3,e1),e2) = op(e3,op(e1,e2))
      & op(op(e3,e1),e1) = op(e3,op(e1,e1))
      & op(op(e3,e1),e0) = op(e3,op(e1,e0))
      & op(op(e3,e0),e3) = op(e3,op(e0,e3))
      & op(op(e3,e0),e2) = op(e3,op(e0,e2))
      & op(op(e3,e0),e1) = op(e3,op(e0,e1))
      & op(op(e3,e0),e0) = op(e3,op(e0,e0))
      & op(op(e2,e3),e3) = op(e2,op(e3,e3))
      & op(op(e2,e3),e2) = op(e2,op(e3,e2))
      & op(op(e2,e3),e1) = op(e2,op(e3,e1))
      & op(op(e2,e3),e0) = op(e2,op(e3,e0))
      & op(op(e2,e2),e3) = op(e2,op(e2,e3))
      & op(op(e2,e2),e2) = op(e2,op(e2,e2))
      & op(op(e2,e2),e1) = op(e2,op(e2,e1))
      & op(op(e2,e2),e0) = op(e2,op(e2,e0))
      & op(op(e2,e1),e3) = op(e2,op(e1,e3))
      & op(op(e2,e1),e2) = op(e2,op(e1,e2))
      & op(op(e2,e1),e1) = op(e2,op(e1,e1))
      & op(op(e2,e1),e0) = op(e2,op(e1,e0))
      & op(op(e2,e0),e3) = op(e2,op(e0,e3))
      & op(op(e2,e0),e2) = op(e2,op(e0,e2))
      & op(op(e2,e0),e1) = op(e2,op(e0,e1))
      & op(op(e2,e0),e0) = op(e2,op(e0,e0))
      & op(op(e1,e3),e3) = op(e1,op(e3,e3))
      & op(op(e1,e3),e2) = op(e1,op(e3,e2))
      & op(op(e1,e3),e1) = op(e1,op(e3,e1))
      & op(op(e1,e3),e0) = op(e1,op(e3,e0))
      & op(op(e1,e2),e3) = op(e1,op(e2,e3))
      & op(op(e1,e2),e2) = op(e1,op(e2,e2))
      & op(op(e1,e2),e1) = op(e1,op(e2,e1))
      & op(op(e1,e2),e0) = op(e1,op(e2,e0))
      & op(op(e1,e1),e3) = op(e1,op(e1,e3))
      & op(op(e1,e1),e2) = op(e1,op(e1,e2))
      & op(op(e1,e1),e1) = op(e1,op(e1,e1))
      & op(op(e1,e1),e0) = op(e1,op(e1,e0))
      & op(op(e1,e0),e3) = op(e1,op(e0,e3))
      & op(op(e1,e0),e2) = op(e1,op(e0,e2))
      & op(op(e1,e0),e1) = op(e1,op(e0,e1))
      & op(op(e1,e0),e0) = op(e1,op(e0,e0))
      & op(op(e0,e3),e3) = op(e0,op(e3,e3))
      & op(op(e0,e3),e2) = op(e0,op(e3,e2))
      & op(op(e0,e3),e1) = op(e0,op(e3,e1))
      & op(op(e0,e3),e0) = op(e0,op(e3,e0))
      & op(op(e0,e2),e3) = op(e0,op(e2,e3))
      & op(op(e0,e2),e2) = op(e0,op(e2,e2))
      & op(op(e0,e2),e1) = op(e0,op(e2,e1))
      & op(op(e0,e2),e0) = op(e0,op(e2,e0))
      & op(op(e0,e1),e3) = op(e0,op(e1,e3))
      & op(op(e0,e1),e2) = op(e0,op(e1,e2))
      & op(op(e0,e1),e1) = op(e0,op(e1,e1))
      & op(op(e0,e1),e0) = op(e0,op(e1,e0))
      & op(op(e0,e0),e3) = op(e0,op(e0,e3))
      & op(op(e0,e0),e2) = op(e0,op(e0,e2))
      & op(op(e0,e0),e1) = op(e0,op(e0,e1))
      & op(op(e0,e0),e0) = op(e0,op(e0,e0))
      & ( e3 = op(e3,e3)
        | e2 = op(e3,e3)
        | e1 = op(e3,e3)
        | e0 = op(e3,e3) )
      & ( e3 = op(e3,e2)
        | e2 = op(e3,e2)
        | e1 = op(e3,e2)
        | e0 = op(e3,e2) )
      & ( e3 = op(e3,e1)
        | e2 = op(e3,e1)
        | e1 = op(e3,e1)
        | e0 = op(e3,e1) )
      & ( e3 = op(e3,e0)
        | e2 = op(e3,e0)
        | e1 = op(e3,e0)
        | e0 = op(e3,e0) )
      & ( e3 = op(e2,e3)
        | e2 = op(e2,e3)
        | e1 = op(e2,e3)
        | e0 = op(e2,e3) )
      & ( e3 = op(e2,e2)
        | e2 = op(e2,e2)
        | e1 = op(e2,e2)
        | e0 = op(e2,e2) )
      & ( e3 = op(e2,e1)
        | e2 = op(e2,e1)
        | e1 = op(e2,e1)
        | e0 = op(e2,e1) )
      & ( e3 = op(e2,e0)
        | e2 = op(e2,e0)
        | e1 = op(e2,e0)
        | e0 = op(e2,e0) )
      & ( e3 = op(e1,e3)
        | e2 = op(e1,e3)
        | e1 = op(e1,e3)
        | e0 = op(e1,e3) )
      & ( e3 = op(e1,e2)
        | e2 = op(e1,e2)
        | e1 = op(e1,e2)
        | e0 = op(e1,e2) )
      & ( e3 = op(e1,e1)
        | e2 = op(e1,e1)
        | e1 = op(e1,e1)
        | e0 = op(e1,e1) )
      & ( e3 = op(e1,e0)
        | e2 = op(e1,e0)
        | e1 = op(e1,e0)
        | e0 = op(e1,e0) )
      & ( e3 = op(e0,e3)
        | e2 = op(e0,e3)
        | e1 = op(e0,e3)
        | e0 = op(e0,e3) )
      & ( e3 = op(e0,e2)
        | e2 = op(e0,e2)
        | e1 = op(e0,e2)
        | e0 = op(e0,e2) )
      & ( e3 = op(e0,e1)
        | e2 = op(e0,e1)
        | e1 = op(e0,e1)
        | e0 = op(e0,e1) )
      & ( e3 = op(e0,e0)
        | e2 = op(e0,e0)
        | e1 = op(e0,e0)
        | e0 = op(e0,e0) )
      & ~ ( ( e3 = op(e3,e3)
            & e3 = op(e2,e2)
            & e3 = op(e1,e1)
            & e3 = op(e0,e0) )
          | ( e2 = op(e3,e3)
            & e2 = op(e2,e2)
            & e2 = op(e1,e1)
            & e2 = op(e0,e0) )
          | ( e1 = op(e3,e3)
            & e1 = op(e2,e2)
            & e1 = op(e1,e1)
            & e1 = op(e0,e0) )
          | ( e0 = op(e3,e3)
            & e0 = op(e2,e2)
            & e0 = op(e1,e1)
            & e0 = op(e0,e0) ) ) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ( ( e3 = inv(e3)
      | e2 = inv(e3)
      | e1 = inv(e3)
      | e0 = inv(e3) )
    & ( e3 = inv(e2)
      | e2 = inv(e2)
      | e1 = inv(e2)
      | e0 = inv(e2) )
    & ( e3 = inv(e1)
      | e2 = inv(e1)
      | e1 = inv(e1)
      | e0 = inv(e1) )
    & ( e3 = inv(e0)
      | e2 = inv(e0)
      | e1 = inv(e0)
      | e0 = inv(e0) )
    & unit = op(inv(e3),e3)
    & unit = op(e3,inv(e3))
    & unit = op(inv(e2),e2)
    & unit = op(e2,inv(e2))
    & unit = op(inv(e1),e1)
    & unit = op(e1,inv(e1))
    & unit = op(inv(e0),e0)
    & unit = op(e0,inv(e0))
    & ( e3 = unit
      | e2 = unit
      | e1 = unit
      | e0 = unit )
    & e3 = op(e3,unit)
    & e3 = op(unit,e3)
    & e2 = op(e2,unit)
    & e2 = op(unit,e2)
    & e1 = op(e1,unit)
    & e1 = op(unit,e1)
    & e0 = op(e0,unit)
    & e0 = op(unit,e0)
    & op(op(e3,e3),e3) = op(e3,op(e3,e3))
    & op(op(e3,e3),e2) = op(e3,op(e3,e2))
    & op(op(e3,e3),e1) = op(e3,op(e3,e1))
    & op(op(e3,e3),e0) = op(e3,op(e3,e0))
    & op(op(e3,e2),e3) = op(e3,op(e2,e3))
    & op(op(e3,e2),e2) = op(e3,op(e2,e2))
    & op(op(e3,e2),e1) = op(e3,op(e2,e1))
    & op(op(e3,e2),e0) = op(e3,op(e2,e0))
    & op(op(e3,e1),e3) = op(e3,op(e1,e3))
    & op(op(e3,e1),e2) = op(e3,op(e1,e2))
    & op(op(e3,e1),e1) = op(e3,op(e1,e1))
    & op(op(e3,e1),e0) = op(e3,op(e1,e0))
    & op(op(e3,e0),e3) = op(e3,op(e0,e3))
    & op(op(e3,e0),e2) = op(e3,op(e0,e2))
    & op(op(e3,e0),e1) = op(e3,op(e0,e1))
    & op(op(e3,e0),e0) = op(e3,op(e0,e0))
    & op(op(e2,e3),e3) = op(e2,op(e3,e3))
    & op(op(e2,e3),e2) = op(e2,op(e3,e2))
    & op(op(e2,e3),e1) = op(e2,op(e3,e1))
    & op(op(e2,e3),e0) = op(e2,op(e3,e0))
    & op(op(e2,e2),e3) = op(e2,op(e2,e3))
    & op(op(e2,e2),e2) = op(e2,op(e2,e2))
    & op(op(e2,e2),e1) = op(e2,op(e2,e1))
    & op(op(e2,e2),e0) = op(e2,op(e2,e0))
    & op(op(e2,e1),e3) = op(e2,op(e1,e3))
    & op(op(e2,e1),e2) = op(e2,op(e1,e2))
    & op(op(e2,e1),e1) = op(e2,op(e1,e1))
    & op(op(e2,e1),e0) = op(e2,op(e1,e0))
    & op(op(e2,e0),e3) = op(e2,op(e0,e3))
    & op(op(e2,e0),e2) = op(e2,op(e0,e2))
    & op(op(e2,e0),e1) = op(e2,op(e0,e1))
    & op(op(e2,e0),e0) = op(e2,op(e0,e0))
    & op(op(e1,e3),e3) = op(e1,op(e3,e3))
    & op(op(e1,e3),e2) = op(e1,op(e3,e2))
    & op(op(e1,e3),e1) = op(e1,op(e3,e1))
    & op(op(e1,e3),e0) = op(e1,op(e3,e0))
    & op(op(e1,e2),e3) = op(e1,op(e2,e3))
    & op(op(e1,e2),e2) = op(e1,op(e2,e2))
    & op(op(e1,e2),e1) = op(e1,op(e2,e1))
    & op(op(e1,e2),e0) = op(e1,op(e2,e0))
    & op(op(e1,e1),e3) = op(e1,op(e1,e3))
    & op(op(e1,e1),e2) = op(e1,op(e1,e2))
    & op(op(e1,e1),e1) = op(e1,op(e1,e1))
    & op(op(e1,e1),e0) = op(e1,op(e1,e0))
    & op(op(e1,e0),e3) = op(e1,op(e0,e3))
    & op(op(e1,e0),e2) = op(e1,op(e0,e2))
    & op(op(e1,e0),e1) = op(e1,op(e0,e1))
    & op(op(e1,e0),e0) = op(e1,op(e0,e0))
    & op(op(e0,e3),e3) = op(e0,op(e3,e3))
    & op(op(e0,e3),e2) = op(e0,op(e3,e2))
    & op(op(e0,e3),e1) = op(e0,op(e3,e1))
    & op(op(e0,e3),e0) = op(e0,op(e3,e0))
    & op(op(e0,e2),e3) = op(e0,op(e2,e3))
    & op(op(e0,e2),e2) = op(e0,op(e2,e2))
    & op(op(e0,e2),e1) = op(e0,op(e2,e1))
    & op(op(e0,e2),e0) = op(e0,op(e2,e0))
    & op(op(e0,e1),e3) = op(e0,op(e1,e3))
    & op(op(e0,e1),e2) = op(e0,op(e1,e2))
    & op(op(e0,e1),e1) = op(e0,op(e1,e1))
    & op(op(e0,e1),e0) = op(e0,op(e1,e0))
    & op(op(e0,e0),e3) = op(e0,op(e0,e3))
    & op(op(e0,e0),e2) = op(e0,op(e0,e2))
    & op(op(e0,e0),e1) = op(e0,op(e0,e1))
    & op(op(e0,e0),e0) = op(e0,op(e0,e0))
    & ( e3 = op(e3,e3)
      | e2 = op(e3,e3)
      | e1 = op(e3,e3)
      | e0 = op(e3,e3) )
    & ( e3 = op(e3,e2)
      | e2 = op(e3,e2)
      | e1 = op(e3,e2)
      | e0 = op(e3,e2) )
    & ( e3 = op(e3,e1)
      | e2 = op(e3,e1)
      | e1 = op(e3,e1)
      | e0 = op(e3,e1) )
    & ( e3 = op(e3,e0)
      | e2 = op(e3,e0)
      | e1 = op(e3,e0)
      | e0 = op(e3,e0) )
    & ( e3 = op(e2,e3)
      | e2 = op(e2,e3)
      | e1 = op(e2,e3)
      | e0 = op(e2,e3) )
    & ( e3 = op(e2,e2)
      | e2 = op(e2,e2)
      | e1 = op(e2,e2)
      | e0 = op(e2,e2) )
    & ( e3 = op(e2,e1)
      | e2 = op(e2,e1)
      | e1 = op(e2,e1)
      | e0 = op(e2,e1) )
    & ( e3 = op(e2,e0)
      | e2 = op(e2,e0)
      | e1 = op(e2,e0)
      | e0 = op(e2,e0) )
    & ( e3 = op(e1,e3)
      | e2 = op(e1,e3)
      | e1 = op(e1,e3)
      | e0 = op(e1,e3) )
    & ( e3 = op(e1,e2)
      | e2 = op(e1,e2)
      | e1 = op(e1,e2)
      | e0 = op(e1,e2) )
    & ( e3 = op(e1,e1)
      | e2 = op(e1,e1)
      | e1 = op(e1,e1)
      | e0 = op(e1,e1) )
    & ( e3 = op(e1,e0)
      | e2 = op(e1,e0)
      | e1 = op(e1,e0)
      | e0 = op(e1,e0) )
    & ( e3 = op(e0,e3)
      | e2 = op(e0,e3)
      | e1 = op(e0,e3)
      | e0 = op(e0,e3) )
    & ( e3 = op(e0,e2)
      | e2 = op(e0,e2)
      | e1 = op(e0,e2)
      | e0 = op(e0,e2) )
    & ( e3 = op(e0,e1)
      | e2 = op(e0,e1)
      | e1 = op(e0,e1)
      | e0 = op(e0,e1) )
    & ( e3 = op(e0,e0)
      | e2 = op(e0,e0)
      | e1 = op(e0,e0)
      | e0 = op(e0,e0) )
    & ~ ( ( e3 = op(e3,e3)
          & e3 = op(e2,e2)
          & e3 = op(e1,e1)
          & e3 = op(e0,e0) )
        | ( e2 = op(e3,e3)
          & e2 = op(e2,e2)
          & e2 = op(e1,e1)
          & e2 = op(e0,e0) )
        | ( e1 = op(e3,e3)
          & e1 = op(e2,e2)
          & e1 = op(e1,e1)
          & e1 = op(e0,e0) )
        | ( e0 = op(e3,e3)
          & e0 = op(e2,e2)
          & e0 = op(e1,e1)
          & e0 = op(e0,e0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.yDukGyCCxY/Vampire---4.8_6371',co1) ).

fof(f765,plain,
    ( ~ spl24_103
    | spl24_74 ),
    inference(avatar_split_clause,[],[f234,f611,f760]) ).

fof(f234,plain,
    ( op(e1,e1) = unit
    | ~ sP0 ),
    inference(definition_unfolding,[],[f151,f162]) ).

fof(f151,plain,
    ( e0 = op(e1,e1)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ( ( e0 = op(e3,e3)
      & e0 = op(e2,e2)
      & e0 = op(e1,e1)
      & e0 = op(e0,e0) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f9]) ).

fof(f758,plain,
    ( ~ spl24_102
    | spl24_98 ),
    inference(avatar_split_clause,[],[f231,f726,f752]) ).

fof(f231,plain,
    ( e1 = op(unit,unit)
    | ~ sP1 ),
    inference(definition_unfolding,[],[f146,f162,f162]) ).

fof(f146,plain,
    ( e1 = op(e0,e0)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ( ( e1 = op(e3,e3)
      & e1 = op(e2,e2)
      & e1 = op(e1,e1)
      & e1 = op(e0,e0) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f10]) ).

fof(f750,plain,
    ( ~ spl24_101
    | spl24_97 ),
    inference(avatar_split_clause,[],[f230,f721,f744]) ).

fof(f230,plain,
    ( e2 = op(unit,unit)
    | ~ sP2 ),
    inference(definition_unfolding,[],[f142,f162,f162]) ).

fof(f142,plain,
    ( e2 = op(e0,e0)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ( ( e2 = op(e3,e3)
      & e2 = op(e2,e2)
      & e2 = op(e1,e1)
      & e2 = op(e0,e0) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f11]) ).

fof(f742,plain,
    ( ~ spl24_100
    | spl24_96 ),
    inference(avatar_split_clause,[],[f229,f716,f736]) ).

fof(f229,plain,
    ( e3 = op(unit,unit)
    | ~ sP3 ),
    inference(definition_unfolding,[],[f138,f162,f162]) ).

fof(f138,plain,
    ( e3 = op(e0,e0)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ( ( e3 = op(e3,e3)
      & e3 = op(e2,e2)
      & e3 = op(e1,e1)
      & e3 = op(e0,e0) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f12]) ).

fof(f734,plain,
    ( ~ spl24_95
    | ~ spl24_99 ),
    inference(avatar_split_clause,[],[f228,f731,f712]) ).

fof(f228,plain,
    ( unit != op(unit,unit)
    | ~ sP4 ),
    inference(definition_unfolding,[],[f134,f162,f162,f162]) ).

fof(f134,plain,
    ( e0 != op(e0,e0)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( ( e3 != op(e0,e0)
      & e2 != op(e0,e0)
      & e1 != op(e0,e0)
      & e0 != op(e0,e0) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f13]) ).

fof(f705,plain,
    ( ~ spl24_90
    | ~ spl24_93 ),
    inference(avatar_split_clause,[],[f223,f702,f688]) ).

fof(f223,plain,
    ( e1 != op(unit,e1)
    | ~ sP5 ),
    inference(definition_unfolding,[],[f131,f162]) ).

fof(f131,plain,
    ( e1 != op(e0,e1)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( ( e3 != op(e0,e1)
      & e2 != op(e0,e1)
      & e1 != op(e0,e1)
      & e0 != op(e0,e1) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f14]) ).

fof(f676,plain,
    ( ~ spl24_85
    | ~ spl24_87 ),
    inference(avatar_split_clause,[],[f218,f673,f664]) ).

fof(f218,plain,
    ( e2 != op(unit,e2)
    | ~ sP6 ),
    inference(definition_unfolding,[],[f128,f162]) ).

fof(f128,plain,
    ( e2 != op(e0,e2)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ( ( e3 != op(e0,e2)
      & e2 != op(e0,e2)
      & e1 != op(e0,e2)
      & e0 != op(e0,e2) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f15]) ).

fof(f647,plain,
    ( ~ spl24_80
    | ~ spl24_81 ),
    inference(avatar_split_clause,[],[f213,f644,f640]) ).

fof(f213,plain,
    ( e3 != op(unit,e3)
    | ~ sP7 ),
    inference(definition_unfolding,[],[f125,f162]) ).

fof(f125,plain,
    ( e3 != op(e0,e3)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( ( e3 != op(e0,e3)
      & e2 != op(e0,e3)
      & e1 != op(e0,e3)
      & e0 != op(e0,e3) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f16]) ).

fof(f633,plain,
    ( ~ spl24_75
    | ~ spl24_78 ),
    inference(avatar_split_clause,[],[f211,f630,f616]) ).

fof(f211,plain,
    ( e1 != op(e1,unit)
    | ~ sP8 ),
    inference(definition_unfolding,[],[f119,f162]) ).

fof(f119,plain,
    ( e1 != op(e1,e0)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( ( e3 != op(e1,e0)
      & e2 != op(e1,e0)
      & e1 != op(e1,e0)
      & e0 != op(e1,e0) )
    | ~ sP8 ),
    inference(nnf_transformation,[],[f17]) ).

fof(f599,plain,
    ( ~ spl24_70
    | ~ spl24_71 ),
    inference(avatar_split_clause,[],[f117,f596,f592]) ).

fof(f117,plain,
    ( e3 != op(e1,e1)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ( ( e3 != op(e1,e1)
      & e2 != op(e1,e1)
      & e1 != op(e1,e1)
      & e0 != op(e1,e1) )
    | ~ sP9 ),
    inference(nnf_transformation,[],[f18]) ).

fof(f590,plain,
    ( ~ spl24_65
    | ~ spl24_69 ),
    inference(avatar_split_clause,[],[f207,f587,f568]) ).

fof(f207,plain,
    ( op(e1,e2) != unit
    | ~ sP10 ),
    inference(definition_unfolding,[],[f110,f162]) ).

fof(f110,plain,
    ( e0 != op(e1,e2)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ( ( e3 != op(e1,e2)
      & e2 != op(e1,e2)
      & e1 != op(e1,e2)
      & e0 != op(e1,e2) )
    | ~ sP10 ),
    inference(nnf_transformation,[],[f19]) ).

fof(f556,plain,
    ( ~ spl24_60
    | ~ spl24_62 ),
    inference(avatar_split_clause,[],[f108,f553,f544]) ).

fof(f108,plain,
    ( e2 != op(e1,e3)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ( ( e3 != op(e1,e3)
      & e2 != op(e1,e3)
      & e1 != op(e1,e3)
      & e0 != op(e1,e3) )
    | ~ sP11 ),
    inference(nnf_transformation,[],[f20]) ).

fof(f532,plain,
    ( ~ spl24_55
    | ~ spl24_57 ),
    inference(avatar_split_clause,[],[f203,f529,f520]) ).

fof(f203,plain,
    ( e2 != op(e2,unit)
    | ~ sP12 ),
    inference(definition_unfolding,[],[f104,f162]) ).

fof(f104,plain,
    ( e2 != op(e2,e0)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ( ( e3 != op(e2,e0)
      & e2 != op(e2,e0)
      & e1 != op(e2,e0)
      & e0 != op(e2,e0) )
    | ~ sP12 ),
    inference(nnf_transformation,[],[f21]) ).

fof(f518,plain,
    ( ~ spl24_50
    | ~ spl24_54 ),
    inference(avatar_split_clause,[],[f201,f515,f496]) ).

fof(f201,plain,
    ( op(e2,e1) != unit
    | ~ sP13 ),
    inference(definition_unfolding,[],[f98,f162]) ).

fof(f98,plain,
    ( e0 != op(e2,e1)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( ( e3 != op(e2,e1)
      & e2 != op(e2,e1)
      & e1 != op(e2,e1)
      & e0 != op(e2,e1) )
    | ~ sP13 ),
    inference(nnf_transformation,[],[f22]) ).

fof(f479,plain,
    ( ~ spl24_45
    | ~ spl24_46 ),
    inference(avatar_split_clause,[],[f97,f476,f472]) ).

fof(f97,plain,
    ( e3 != op(e2,e2)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( ( e3 != op(e2,e2)
      & e2 != op(e2,e2)
      & e1 != op(e2,e2)
      & e0 != op(e2,e2) )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f23]) ).

fof(f465,plain,
    ( ~ spl24_40
    | ~ spl24_43 ),
    inference(avatar_split_clause,[],[f91,f462,f448]) ).

fof(f91,plain,
    ( e1 != op(e2,e3)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ( ( e3 != op(e2,e3)
      & e2 != op(e2,e3)
      & e1 != op(e2,e3)
      & e0 != op(e2,e3) )
    | ~ sP15 ),
    inference(nnf_transformation,[],[f24]) ).

fof(f431,plain,
    ( ~ spl24_35
    | ~ spl24_36 ),
    inference(avatar_split_clause,[],[f195,f428,f424]) ).

fof(f195,plain,
    ( e3 != op(e3,unit)
    | ~ sP16 ),
    inference(definition_unfolding,[],[f89,f162]) ).

fof(f89,plain,
    ( e3 != op(e3,e0)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ( ( e3 != op(e3,e0)
      & e2 != op(e3,e0)
      & e1 != op(e3,e0)
      & e0 != op(e3,e0) )
    | ~ sP16 ),
    inference(nnf_transformation,[],[f25]) ).

fof(f412,plain,
    ( ~ spl24_30
    | ~ spl24_32 ),
    inference(avatar_split_clause,[],[f84,f409,f400]) ).

fof(f84,plain,
    ( e2 != op(e3,e1)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ( ( e3 != op(e3,e1)
      & e2 != op(e3,e1)
      & e1 != op(e3,e1)
      & e0 != op(e3,e1) )
    | ~ sP17 ),
    inference(nnf_transformation,[],[f26]) ).

fof(f393,plain,
    ( ~ spl24_25
    | ~ spl24_28 ),
    inference(avatar_split_clause,[],[f79,f390,f376]) ).

fof(f79,plain,
    ( e1 != op(e3,e2)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( ( e3 != op(e3,e2)
      & e2 != op(e3,e2)
      & e1 != op(e3,e2)
      & e0 != op(e3,e2) )
    | ~ sP18 ),
    inference(nnf_transformation,[],[f27]) ).

fof(f374,plain,
    ( ~ spl24_20
    | ~ spl24_24 ),
    inference(avatar_split_clause,[],[f192,f371,f352]) ).

fof(f192,plain,
    ( op(e3,e3) != unit
    | ~ sP19 ),
    inference(definition_unfolding,[],[f74,f162]) ).

fof(f74,plain,
    ( e0 != op(e3,e3)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( ( e3 != op(e3,e3)
      & e2 != op(e3,e3)
      & e1 != op(e3,e3)
      & e0 != op(e3,e3) )
    | ~ sP19 ),
    inference(nnf_transformation,[],[f28]) ).

fof(f350,plain,
    ~ spl24_16,
    inference(avatar_split_clause,[],[f258,f332]) ).

fof(f258,plain,
    ~ sP20,
    inference(trivial_inequality_removal,[],[f191]) ).

fof(f191,plain,
    ( unit != unit
    | ~ sP20 ),
    inference(definition_unfolding,[],[f70,f162]) ).

fof(f70,plain,
    ( e0 != unit
    | ~ sP20 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( ( e3 != unit
      & e2 != unit
      & e1 != unit
      & e0 != unit )
    | ~ sP20 ),
    inference(nnf_transformation,[],[f29]) ).

fof(f330,plain,
    ( ~ spl24_11
    | ~ spl24_15 ),
    inference(avatar_split_clause,[],[f190,f327,f308]) ).

fof(f190,plain,
    ( unit != inv(unit)
    | ~ sP21 ),
    inference(definition_unfolding,[],[f66,f162,f162]) ).

fof(f66,plain,
    ( e0 != inv(e0)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( ( e3 != inv(e0)
      & e2 != inv(e0)
      & e1 != inv(e0)
      & e0 != inv(e0) )
    | ~ sP21 ),
    inference(nnf_transformation,[],[f30]) ).

fof(f296,plain,
    ( ~ spl24_6
    | ~ spl24_8 ),
    inference(avatar_split_clause,[],[f64,f293,f284]) ).

fof(f64,plain,
    ( e2 != inv(e1)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ( ( e3 != inv(e1)
      & e2 != inv(e1)
      & e1 != inv(e1)
      & e0 != inv(e1) )
    | ~ sP22 ),
    inference(nnf_transformation,[],[f31]) ).

fof(f277,plain,
    ( ~ spl24_1
    | ~ spl24_4 ),
    inference(avatar_split_clause,[],[f59,f274,f260]) ).

fof(f59,plain,
    ( e1 != inv(e2)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( ( e3 != inv(e2)
      & e2 != inv(e2)
      & e1 != inv(e2)
      & e0 != inv(e2) )
    | ~ sP23 ),
    inference(nnf_transformation,[],[f32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : ALG022+1 : TPTP v8.1.2. Released v2.7.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 19:56:52 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a FOF_THM_RFO_PEQ problem
% 0.14/0.34  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.yDukGyCCxY/Vampire---4.8_6371
% 0.61/0.78  % (6479)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.78  % (6482)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.78  % (6483)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.78  % (6481)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.78  % (6485)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.61/0.78  % (6480)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.61/0.78  % (6486)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.78  % (6484)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.79  % (6479)Refutation not found, incomplete strategy% (6479)------------------------------
% 0.61/0.79  % (6479)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (6479)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (6479)Memory used [KB]: 1457
% 0.61/0.79  % (6479)Time elapsed: 0.008 s
% 0.61/0.79  % (6479)Instructions burned: 26 (million)
% 0.61/0.79  % (6479)------------------------------
% 0.61/0.79  % (6479)------------------------------
% 0.61/0.79  % (6483)Refutation not found, incomplete strategy% (6483)------------------------------
% 0.61/0.79  % (6483)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (6483)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (6483)Memory used [KB]: 1264
% 0.61/0.79  % (6487)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.61/0.79  % (6483)Time elapsed: 0.012 s
% 0.61/0.79  % (6483)Instructions burned: 25 (million)
% 0.61/0.79  % (6483)------------------------------
% 0.61/0.79  % (6483)------------------------------
% 0.61/0.79  % (6482)Instruction limit reached!
% 0.61/0.79  % (6482)------------------------------
% 0.61/0.79  % (6482)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (6482)Termination reason: Unknown
% 0.61/0.79  % (6482)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (6482)Memory used [KB]: 1732
% 0.61/0.79  % (6482)Time elapsed: 0.015 s
% 0.61/0.79  % (6482)Instructions burned: 35 (million)
% 0.61/0.79  % (6482)------------------------------
% 0.61/0.79  % (6482)------------------------------
% 0.61/0.79  % (6486)Refutation not found, incomplete strategy% (6486)------------------------------
% 0.61/0.79  % (6486)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (6486)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (6486)Memory used [KB]: 1369
% 0.61/0.79  % (6486)Time elapsed: 0.014 s
% 0.61/0.79  % (6486)Instructions burned: 35 (million)
% 0.61/0.79  % (6486)------------------------------
% 0.61/0.79  % (6486)------------------------------
% 0.61/0.80  % (6481)First to succeed.
% 0.61/0.80  % (6489)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.61/0.80  % (6488)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.61/0.80  % (6484)Instruction limit reached!
% 0.61/0.80  % (6484)------------------------------
% 0.61/0.80  % (6484)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (6484)Termination reason: Unknown
% 0.61/0.80  % (6484)Termination phase: Saturation
% 0.61/0.80  
% 0.61/0.80  % (6484)Memory used [KB]: 1221
% 0.61/0.80  % (6484)Time elapsed: 0.019 s
% 0.61/0.80  % (6484)Instructions burned: 47 (million)
% 0.61/0.80  % (6484)------------------------------
% 0.61/0.80  % (6484)------------------------------
% 0.61/0.80  % (6480)Instruction limit reached!
% 0.61/0.80  % (6480)------------------------------
% 0.61/0.80  % (6480)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (6480)Termination reason: Unknown
% 0.61/0.80  % (6480)Termination phase: Saturation
% 0.61/0.80  
% 0.61/0.80  % (6480)Memory used [KB]: 1255
% 0.61/0.80  % (6480)Time elapsed: 0.021 s
% 0.61/0.80  % (6480)Instructions burned: 52 (million)
% 0.61/0.80  % (6480)------------------------------
% 0.61/0.80  % (6480)------------------------------
% 0.61/0.80  % (6490)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.61/0.80  % (6492)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.61/0.81  % (6491)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.61/0.81  % (6481)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6478"
% 0.61/0.81  % (6481)Refutation found. Thanks to Tanya!
% 0.61/0.81  % SZS status Theorem for Vampire---4
% 0.61/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.81  % (6481)------------------------------
% 0.61/0.81  % (6481)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (6481)Termination reason: Refutation
% 0.61/0.81  
% 0.61/0.81  % (6481)Memory used [KB]: 1570
% 0.61/0.81  % (6481)Time elapsed: 0.029 s
% 0.61/0.81  % (6481)Instructions burned: 64 (million)
% 0.61/0.81  % (6478)Success in time 0.458 s
% 0.61/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------