TSTP Solution File: ALG064+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG064+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 : n015.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 04:10:53 EDT 2024

% Result   : Theorem 0.79s 0.80s
% Output   : Refutation 0.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  136
% Syntax   : Number of formulae    :  537 (  76 unt;   0 def)
%            Number of atoms       : 2157 (1376 equ)
%            Maximal formula atoms :  250 (   4 avg)
%            Number of connectives : 2502 ( 882   ~;1053   |; 462   &)
%                                         ( 105 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  101 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  131 ( 129 usr; 130 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2587,plain,
    $false,
    inference(avatar_sat_refutation,[],[f362,f381,f395,f419,f434,f445,f464,f483,f502,f517,f532,f543,f562,f581,f596,f610,f625,f637,f656,f671,f686,f701,f716,f727,f734,f818,f839,f840,f842,f847,f852,f1003,f1017,f1148,f1157,f1196,f1205,f1231,f1243,f1300,f1316,f1319,f1321,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1539,f1542,f1545,f1566,f1583,f1588,f1591,f1608,f1620,f1622,f1639,f1656,f1682,f1684,f1685,f1690,f1698,f1775,f1779,f1808,f1825,f1846,f1857,f1884,f1905,f1915,f1917,f1940,f1949,f1969,f1973,f1998,f2000,f2007,f2010,f2023,f2029,f2032,f2060,f2075,f2081,f2083,f2139,f2185,f2223,f2285,f2320,f2358,f2369,f2374,f2378,f2420,f2434,f2492,f2517]) ).

fof(f2517,plain,
    ( spl24_167
    | ~ spl24_197 ),
    inference(avatar_contradiction_clause,[],[f2516]) ).

fof(f2516,plain,
    ( $false
    | spl24_167
    | ~ spl24_197 ),
    inference(subsumption_resolution,[],[f2504,f1125]) ).

fof(f1125,plain,
    ( e0 != op(e0,e3)
    | spl24_167 ),
    inference(avatar_component_clause,[],[f1124]) ).

fof(f1124,plain,
    ( spl24_167
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_167])]) ).

fof(f2504,plain,
    ( e0 = op(e0,e3)
    | ~ spl24_197 ),
    inference(backward_demodulation,[],[f304,f1295]) ).

fof(f1295,plain,
    ( e3 = unit
    | ~ spl24_197 ),
    inference(avatar_component_clause,[],[f1293]) ).

fof(f1293,plain,
    ( spl24_197
  <=> e3 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_197])]) ).

fof(f304,plain,
    e0 = op(e0,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( ( e4 = unit
      | e3 = unit
      | e2 = unit
      | e1 = unit
      | e0 = unit )
    & e4 = op(e4,unit)
    & e4 = op(unit,e4)
    & e3 = op(e3,unit)
    & e3 = op(unit,e3)
    & e2 = op(e2,unit)
    & e2 = op(unit,e2)
    & e1 = op(e1,unit)
    & e1 = op(unit,e1)
    & e0 = op(e0,unit)
    & e0 = op(unit,e0) ),
    file('/export/starexec/sandbox/tmp/tmp.Nh4lU1j9zw/Vampire---4.8_14228',ax2) ).

fof(f2492,plain,
    ( ~ spl24_149
    | ~ spl24_187 ),
    inference(avatar_split_clause,[],[f2491,f1228,f1045]) ).

fof(f1045,plain,
    ( spl24_149
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_149])]) ).

fof(f1228,plain,
    ( spl24_187
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_187])]) ).

fof(f2491,plain,
    ( e3 != op(e0,e3)
    | ~ spl24_187 ),
    inference(forward_demodulation,[],[f208,f1230]) ).

fof(f1230,plain,
    ( e3 = op(e0,e1)
    | ~ spl24_187 ),
    inference(avatar_component_clause,[],[f1228]) ).

fof(f208,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( op(e4,e3) != op(e4,e4)
    & op(e4,e2) != op(e4,e4)
    & op(e4,e2) != op(e4,e3)
    & op(e4,e1) != op(e4,e4)
    & op(e4,e1) != op(e4,e3)
    & op(e4,e1) != op(e4,e2)
    & op(e4,e0) != op(e4,e4)
    & op(e4,e0) != op(e4,e3)
    & op(e4,e0) != op(e4,e2)
    & op(e4,e0) != op(e4,e1)
    & op(e3,e3) != op(e3,e4)
    & op(e3,e2) != op(e3,e4)
    & op(e3,e2) != op(e3,e3)
    & op(e3,e1) != op(e3,e4)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e0) != op(e3,e4)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e1)
    & op(e2,e3) != op(e2,e4)
    & op(e2,e2) != op(e2,e4)
    & op(e2,e2) != op(e2,e3)
    & op(e2,e1) != op(e2,e4)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e0) != op(e2,e4)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e1)
    & op(e1,e3) != op(e1,e4)
    & op(e1,e2) != op(e1,e4)
    & op(e1,e2) != op(e1,e3)
    & op(e1,e1) != op(e1,e4)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e0) != op(e1,e4)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e1)
    & op(e0,e3) != op(e0,e4)
    & op(e0,e2) != op(e0,e4)
    & op(e0,e2) != op(e0,e3)
    & op(e0,e1) != op(e0,e4)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e0) != op(e0,e4)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e1)
    & op(e3,e4) != op(e4,e4)
    & op(e2,e4) != op(e4,e4)
    & op(e2,e4) != op(e3,e4)
    & op(e1,e4) != op(e4,e4)
    & op(e1,e4) != op(e3,e4)
    & op(e1,e4) != op(e2,e4)
    & op(e0,e4) != op(e4,e4)
    & op(e0,e4) != op(e3,e4)
    & op(e0,e4) != op(e2,e4)
    & op(e0,e4) != op(e1,e4)
    & op(e3,e3) != op(e4,e3)
    & op(e2,e3) != op(e4,e3)
    & op(e2,e3) != op(e3,e3)
    & op(e1,e3) != op(e4,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e0,e3) != op(e4,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e1,e3)
    & op(e3,e2) != op(e4,e2)
    & op(e2,e2) != op(e4,e2)
    & op(e2,e2) != op(e3,e2)
    & op(e1,e2) != op(e4,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e0,e2) != op(e4,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e1,e2)
    & op(e3,e1) != op(e4,e1)
    & op(e2,e1) != op(e4,e1)
    & op(e2,e1) != op(e3,e1)
    & op(e1,e1) != op(e4,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e0,e1) != op(e4,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e1,e1)
    & op(e3,e0) != op(e4,e0)
    & op(e2,e0) != op(e4,e0)
    & op(e2,e0) != op(e3,e0)
    & op(e1,e0) != op(e4,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e0,e0) != op(e4,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e1,e0) ),
    file('/export/starexec/sandbox/tmp/tmp.Nh4lU1j9zw/Vampire---4.8_14228',ax4) ).

fof(f2434,plain,
    ( ~ spl24_109
    | ~ spl24_172 ),
    inference(avatar_split_clause,[],[f2430,f1150,f872]) ).

fof(f872,plain,
    ( spl24_109
  <=> e4 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_109])]) ).

fof(f1150,plain,
    ( spl24_172
  <=> e4 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_172])]) ).

fof(f2430,plain,
    ( e4 != op(e4,e0)
    | ~ spl24_172 ),
    inference(backward_demodulation,[],[f161,f1152]) ).

fof(f1152,plain,
    ( e4 = op(e2,e0)
    | ~ spl24_172 ),
    inference(avatar_component_clause,[],[f1150]) ).

fof(f161,plain,
    op(e2,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2420,plain,
    ( ~ spl24_94
    | ~ spl24_198 ),
    inference(avatar_contradiction_clause,[],[f2419]) ).

fof(f2419,plain,
    ( $false
    | ~ spl24_94
    | ~ spl24_198 ),
    inference(subsumption_resolution,[],[f2418,f151]) ).

fof(f151,plain,
    e2 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( e3 != e4
    & e2 != e4
    & e2 != e3
    & e1 != e4
    & e1 != e3
    & e1 != e2
    & e0 != e4
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    file('/export/starexec/sandbox/tmp/tmp.Nh4lU1j9zw/Vampire---4.8_14228',ax5) ).

fof(f2418,plain,
    ( e2 = e4
    | ~ spl24_94
    | ~ spl24_198 ),
    inference(forward_demodulation,[],[f2402,f796]) ).

fof(f796,plain,
    ( e2 = op(e4,e4)
    | ~ spl24_94 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f794,plain,
    ( spl24_94
  <=> e2 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_94])]) ).

fof(f2402,plain,
    ( e4 = op(e4,e4)
    | ~ spl24_198 ),
    inference(backward_demodulation,[],[f312,f1299]) ).

fof(f1299,plain,
    ( e4 = unit
    | ~ spl24_198 ),
    inference(avatar_component_clause,[],[f1297]) ).

fof(f1297,plain,
    ( spl24_198
  <=> e4 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_198])]) ).

fof(f312,plain,
    e4 = op(e4,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f2378,plain,
    ( ~ spl24_189
    | ~ spl24_177 ),
    inference(avatar_split_clause,[],[f2252,f1177,f1240]) ).

fof(f1240,plain,
    ( spl24_189
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_189])]) ).

fof(f1177,plain,
    ( spl24_177
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_177])]) ).

fof(f2252,plain,
    ( e2 != op(e0,e1)
    | ~ spl24_177 ),
    inference(forward_demodulation,[],[f207,f1179]) ).

fof(f1179,plain,
    ( e2 = op(e0,e2)
    | ~ spl24_177 ),
    inference(avatar_component_clause,[],[f1177]) ).

fof(f207,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2374,plain,
    ( ~ spl24_178
    | spl24_49
    | ~ spl24_177 ),
    inference(avatar_split_clause,[],[f2373,f1177,f578,f1182]) ).

fof(f1182,plain,
    ( spl24_178
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_178])]) ).

fof(f578,plain,
    ( spl24_49
  <=> op(e0,e2) = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_49])]) ).

fof(f2373,plain,
    ( e2 != op(e2,e0)
    | spl24_49
    | ~ spl24_177 ),
    inference(forward_demodulation,[],[f580,f1179]) ).

fof(f580,plain,
    ( op(e0,e2) != op(e2,e0)
    | spl24_49 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f2369,plain,
    ( ~ spl24_145
    | spl24_25
    | ~ spl24_148 ),
    inference(avatar_split_clause,[],[f2339,f1040,f461,f1027]) ).

fof(f1027,plain,
    ( spl24_145
  <=> e4 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_145])]) ).

fof(f461,plain,
    ( spl24_25
  <=> op(e2,e3) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_25])]) ).

fof(f1040,plain,
    ( spl24_148
  <=> e4 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_148])]) ).

fof(f2339,plain,
    ( e4 != op(e2,e3)
    | spl24_25
    | ~ spl24_148 ),
    inference(forward_demodulation,[],[f463,f1042]) ).

fof(f1042,plain,
    ( e4 = op(e3,e2)
    | ~ spl24_148 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f463,plain,
    ( op(e2,e3) != op(e3,e2)
    | spl24_25 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f2358,plain,
    ( ~ spl24_140
    | ~ spl24_100 ),
    inference(avatar_split_clause,[],[f2357,f820,f1006]) ).

fof(f1006,plain,
    ( spl24_140
  <=> e0 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_140])]) ).

fof(f820,plain,
    ( spl24_100
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_100])]) ).

fof(f2357,plain,
    ( e0 != op(e4,e0)
    | ~ spl24_100 ),
    inference(forward_demodulation,[],[f156,f822]) ).

fof(f822,plain,
    ( e0 = op(e0,e0)
    | ~ spl24_100 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f156,plain,
    op(e0,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2320,plain,
    ( ~ spl24_177
    | ~ spl24_180 ),
    inference(avatar_contradiction_clause,[],[f2319]) ).

fof(f2319,plain,
    ( $false
    | ~ spl24_177
    | ~ spl24_180 ),
    inference(subsumption_resolution,[],[f2318,f147]) ).

fof(f147,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f2318,plain,
    ( e1 = e2
    | ~ spl24_177
    | ~ spl24_180 ),
    inference(backward_demodulation,[],[f1179,f1195]) ).

fof(f1195,plain,
    ( e1 = op(e0,e2)
    | ~ spl24_180 ),
    inference(avatar_component_clause,[],[f1193]) ).

fof(f1193,plain,
    ( spl24_180
  <=> e1 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_180])]) ).

fof(f2285,plain,
    ~ spl24_195,
    inference(avatar_contradiction_clause,[],[f2284]) ).

fof(f2284,plain,
    ( $false
    | ~ spl24_195 ),
    inference(subsumption_resolution,[],[f2283,f144]) ).

fof(f144,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f2283,plain,
    ( e0 = e2
    | ~ spl24_195 ),
    inference(forward_demodulation,[],[f2268,f843]) ).

fof(f843,plain,
    e0 = op(e1,e2),
    inference(forward_demodulation,[],[f139,f140]) ).

fof(f140,plain,
    e2 = op(op(e1,e1),op(e1,e1)),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ( e4 = op(e1,e1)
    & e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
    & e2 = op(op(e1,e1),op(e1,e1))
    & e0 = op(e1,op(op(e1,e1),op(e1,e1))) ),
    file('/export/starexec/sandbox/tmp/tmp.Nh4lU1j9zw/Vampire---4.8_14228',ax6) ).

fof(f139,plain,
    e0 = op(e1,op(op(e1,e1),op(e1,e1))),
    inference(cnf_transformation,[],[f6]) ).

fof(f2268,plain,
    ( e2 = op(e1,e2)
    | ~ spl24_195 ),
    inference(backward_demodulation,[],[f307,f1287]) ).

fof(f1287,plain,
    ( e1 = unit
    | ~ spl24_195 ),
    inference(avatar_component_clause,[],[f1285]) ).

fof(f1285,plain,
    ( spl24_195
  <=> e1 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_195])]) ).

fof(f307,plain,
    e2 = op(unit,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2223,plain,
    ( ~ spl24_105
    | ~ spl24_107 ),
    inference(avatar_split_clause,[],[f2222,f863,f855]) ).

fof(f855,plain,
    ( spl24_105
  <=> e4 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_105])]) ).

fof(f863,plain,
    ( spl24_107
  <=> e4 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_107])]) ).

fof(f2222,plain,
    ( e4 != op(e0,e4)
    | ~ spl24_107 ),
    inference(forward_demodulation,[],[f194,f865]) ).

fof(f865,plain,
    ( e4 = op(e2,e4)
    | ~ spl24_107 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f194,plain,
    op(e0,e4) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2185,plain,
    ( ~ spl24_149
    | ~ spl24_150 ),
    inference(avatar_split_clause,[],[f2180,f1049,f1045]) ).

fof(f1049,plain,
    ( spl24_150
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_150])]) ).

fof(f2180,plain,
    ( e3 != op(e0,e3)
    | ~ spl24_150 ),
    inference(backward_demodulation,[],[f183,f1051]) ).

fof(f1051,plain,
    ( e3 = op(e1,e3)
    | ~ spl24_150 ),
    inference(avatar_component_clause,[],[f1049]) ).

fof(f183,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2139,plain,
    ~ spl24_196,
    inference(avatar_contradiction_clause,[],[f2138]) ).

fof(f2138,plain,
    ( $false
    | ~ spl24_196 ),
    inference(subsumption_resolution,[],[f2137,f143]) ).

fof(f143,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f5]) ).

fof(f2137,plain,
    ( e0 = e1
    | ~ spl24_196 ),
    inference(forward_demodulation,[],[f2123,f843]) ).

fof(f2123,plain,
    ( e1 = op(e1,e2)
    | ~ spl24_196 ),
    inference(backward_demodulation,[],[f306,f1291]) ).

fof(f1291,plain,
    ( e2 = unit
    | ~ spl24_196 ),
    inference(avatar_component_clause,[],[f1289]) ).

fof(f1289,plain,
    ( spl24_196
  <=> e2 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_196])]) ).

fof(f306,plain,
    e1 = op(e1,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f2083,plain,
    ( ~ spl24_106
    | ~ spl24_81 ),
    inference(avatar_split_clause,[],[f2082,f740,f859]) ).

fof(f859,plain,
    ( spl24_106
  <=> e4 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_106])]) ).

fof(f740,plain,
    ( spl24_81
  <=> e4 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_81])]) ).

fof(f2082,plain,
    ( e4 != op(e1,e4)
    | ~ spl24_81 ),
    inference(forward_demodulation,[],[f219,f742]) ).

fof(f742,plain,
    ( e4 = op(e1,e1)
    | ~ spl24_81 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f219,plain,
    op(e1,e1) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2081,plain,
    ( ~ spl24_122
    | ~ spl24_94 ),
    inference(avatar_split_clause,[],[f2080,f794,f927]) ).

fof(f927,plain,
    ( spl24_122
  <=> e2 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_122])]) ).

fof(f2080,plain,
    ( e2 != op(e1,e4)
    | ~ spl24_94 ),
    inference(forward_demodulation,[],[f199,f796]) ).

fof(f199,plain,
    op(e1,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2075,plain,
    ( ~ spl24_137
    | ~ spl24_100 ),
    inference(avatar_split_clause,[],[f2074,f820,f992]) ).

fof(f992,plain,
    ( spl24_137
  <=> e0 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_137])]) ).

fof(f2074,plain,
    ( e0 != op(e0,e4)
    | ~ spl24_100 ),
    inference(forward_demodulation,[],[f206,f822]) ).

fof(f206,plain,
    op(e0,e0) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2060,plain,
    ( ~ spl24_94
    | ~ spl24_104 ),
    inference(avatar_contradiction_clause,[],[f2059]) ).

fof(f2059,plain,
    ( $false
    | ~ spl24_94
    | ~ spl24_104 ),
    inference(subsumption_resolution,[],[f2057,f144]) ).

fof(f2057,plain,
    ( e0 = e2
    | ~ spl24_94
    | ~ spl24_104 ),
    inference(backward_demodulation,[],[f796,f838]) ).

fof(f838,plain,
    ( e0 = op(e4,e4)
    | ~ spl24_104 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f836,plain,
    ( spl24_104
  <=> e0 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_104])]) ).

fof(f2032,plain,
    ( spl24_64
    | ~ spl24_191
    | ~ spl24_192 ),
    inference(avatar_contradiction_clause,[],[f2031]) ).

fof(f2031,plain,
    ( $false
    | spl24_64
    | ~ spl24_191
    | ~ spl24_192 ),
    inference(subsumption_resolution,[],[f2030,f1254]) ).

fof(f1254,plain,
    ( e1 = op(e0,e1)
    | ~ spl24_191 ),
    inference(avatar_component_clause,[],[f1252]) ).

fof(f1252,plain,
    ( spl24_191
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_191])]) ).

fof(f2030,plain,
    ( e1 != op(e0,e1)
    | spl24_64
    | ~ spl24_192 ),
    inference(forward_demodulation,[],[f655,f1261]) ).

fof(f1261,plain,
    ( e1 = op(e1,e0)
    | ~ spl24_192 ),
    inference(avatar_component_clause,[],[f1259]) ).

fof(f1259,plain,
    ( spl24_192
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_192])]) ).

fof(f655,plain,
    ( op(e0,e1) != op(e1,e0)
    | spl24_64 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f653,plain,
    ( spl24_64
  <=> op(e0,e1) = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_64])]) ).

fof(f2029,plain,
    ( spl24_45
    | ~ spl24_184 ),
    inference(avatar_contradiction_clause,[],[f2028]) ).

fof(f2028,plain,
    ( $false
    | spl24_45
    | ~ spl24_184 ),
    inference(subsumption_resolution,[],[f2027,f843]) ).

fof(f2027,plain,
    ( e0 != op(e1,e2)
    | spl24_45
    | ~ spl24_184 ),
    inference(forward_demodulation,[],[f561,f1213]) ).

fof(f1213,plain,
    ( e0 = op(e2,e1)
    | ~ spl24_184 ),
    inference(avatar_component_clause,[],[f1211]) ).

fof(f1211,plain,
    ( spl24_184
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_184])]) ).

fof(f561,plain,
    ( op(e1,e2) != op(e2,e1)
    | spl24_45 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f559,plain,
    ( spl24_45
  <=> op(e1,e2) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_45])]) ).

fof(f2023,plain,
    ( ~ spl24_58
    | spl24_180 ),
    inference(avatar_contradiction_clause,[],[f2022]) ).

fof(f2022,plain,
    ( $false
    | ~ spl24_58
    | spl24_180 ),
    inference(subsumption_resolution,[],[f2021,f1194]) ).

fof(f1194,plain,
    ( e1 != op(e0,e2)
    | spl24_180 ),
    inference(avatar_component_clause,[],[f1193]) ).

fof(f2021,plain,
    ( e1 = op(e0,e2)
    | ~ spl24_58 ),
    inference(forward_demodulation,[],[f624,f843]) ).

fof(f624,plain,
    ( e1 = op(op(e1,e2),e2)
    | ~ spl24_58 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f622,plain,
    ( spl24_58
  <=> e1 = op(op(e1,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_58])]) ).

fof(f2010,plain,
    ( spl24_33
    | ~ spl24_149
    | ~ spl24_152 ),
    inference(avatar_contradiction_clause,[],[f2009]) ).

fof(f2009,plain,
    ( $false
    | spl24_33
    | ~ spl24_149
    | ~ spl24_152 ),
    inference(subsumption_resolution,[],[f2008,f1047]) ).

fof(f1047,plain,
    ( e3 = op(e0,e3)
    | ~ spl24_149 ),
    inference(avatar_component_clause,[],[f1045]) ).

fof(f2008,plain,
    ( e3 != op(e0,e3)
    | spl24_33
    | ~ spl24_152 ),
    inference(forward_demodulation,[],[f501,f1060]) ).

fof(f1060,plain,
    ( e3 = op(e3,e0)
    | ~ spl24_152 ),
    inference(avatar_component_clause,[],[f1058]) ).

fof(f1058,plain,
    ( spl24_152
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_152])]) ).

fof(f501,plain,
    ( op(e0,e3) != op(e3,e0)
    | spl24_33 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f499,plain,
    ( spl24_33
  <=> op(e0,e3) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_33])]) ).

fof(f2007,plain,
    ( ~ spl24_145
    | ~ spl24_163 ),
    inference(avatar_contradiction_clause,[],[f2006]) ).

fof(f2006,plain,
    ( $false
    | ~ spl24_145
    | ~ spl24_163 ),
    inference(subsumption_resolution,[],[f2005,f149]) ).

fof(f149,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f2005,plain,
    ( e1 = e4
    | ~ spl24_145
    | ~ spl24_163 ),
    inference(backward_demodulation,[],[f1029,f1107]) ).

fof(f1107,plain,
    ( e1 = op(e2,e3)
    | ~ spl24_163 ),
    inference(avatar_component_clause,[],[f1105]) ).

fof(f1105,plain,
    ( spl24_163
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_163])]) ).

fof(f1029,plain,
    ( e4 = op(e2,e3)
    | ~ spl24_145 ),
    inference(avatar_component_clause,[],[f1027]) ).

fof(f2000,plain,
    ( spl24_163
    | ~ spl24_55
    | ~ spl24_156 ),
    inference(avatar_split_clause,[],[f1989,f1075,f607,f1105]) ).

fof(f607,plain,
    ( spl24_55
  <=> e1 = op(op(e1,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_55])]) ).

fof(f1075,plain,
    ( spl24_156
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_156])]) ).

fof(f1989,plain,
    ( e1 = op(e2,e3)
    | ~ spl24_55
    | ~ spl24_156 ),
    inference(forward_demodulation,[],[f609,f1077]) ).

fof(f1077,plain,
    ( e2 = op(e1,e3)
    | ~ spl24_156 ),
    inference(avatar_component_clause,[],[f1075]) ).

fof(f609,plain,
    ( e1 = op(op(e1,e3),e3)
    | ~ spl24_55 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f1998,plain,
    ( spl24_29
    | ~ spl24_156
    | ~ spl24_159 ),
    inference(avatar_contradiction_clause,[],[f1997]) ).

fof(f1997,plain,
    ( $false
    | spl24_29
    | ~ spl24_156
    | ~ spl24_159 ),
    inference(subsumption_resolution,[],[f1996,f1077]) ).

fof(f1996,plain,
    ( e2 != op(e1,e3)
    | spl24_29
    | ~ spl24_159 ),
    inference(forward_demodulation,[],[f482,f1090]) ).

fof(f1090,plain,
    ( e2 = op(e3,e1)
    | ~ spl24_159 ),
    inference(avatar_component_clause,[],[f1088]) ).

fof(f1088,plain,
    ( spl24_159
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_159])]) ).

fof(f482,plain,
    ( op(e1,e3) != op(e3,e1)
    | spl24_29 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f480,plain,
    ( spl24_29
  <=> op(e1,e3) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_29])]) ).

fof(f1973,plain,
    ( ~ spl24_11
    | ~ spl24_118
    | ~ spl24_159 ),
    inference(avatar_contradiction_clause,[],[f1972]) ).

fof(f1972,plain,
    ( $false
    | ~ spl24_11
    | ~ spl24_118
    | ~ spl24_159 ),
    inference(subsumption_resolution,[],[f1971,f151]) ).

fof(f1971,plain,
    ( e2 = e4
    | ~ spl24_11
    | ~ spl24_118
    | ~ spl24_159 ),
    inference(forward_demodulation,[],[f1970,f1090]) ).

fof(f1970,plain,
    ( e4 = op(e3,e1)
    | ~ spl24_11
    | ~ spl24_118 ),
    inference(forward_demodulation,[],[f394,f912]) ).

fof(f912,plain,
    ( e3 = op(e4,e1)
    | ~ spl24_118 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f910,plain,
    ( spl24_118
  <=> e3 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_118])]) ).

fof(f394,plain,
    ( e4 = op(op(e4,e1),e1)
    | ~ spl24_11 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f392,plain,
    ( spl24_11
  <=> e4 = op(op(e4,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_11])]) ).

fof(f1969,plain,
    ( spl24_12
    | ~ spl24_114
    | ~ spl24_118 ),
    inference(avatar_contradiction_clause,[],[f1968]) ).

fof(f1968,plain,
    ( $false
    | spl24_12
    | ~ spl24_114
    | ~ spl24_118 ),
    inference(subsumption_resolution,[],[f1967,f895]) ).

fof(f895,plain,
    ( e3 = op(e1,e4)
    | ~ spl24_114 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f893,plain,
    ( spl24_114
  <=> e3 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_114])]) ).

fof(f1967,plain,
    ( e3 != op(e1,e4)
    | spl24_12
    | ~ spl24_118 ),
    inference(forward_demodulation,[],[f399,f912]) ).

fof(f399,plain,
    ( op(e1,e4) != op(e4,e1)
    | spl24_12 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f397,plain,
    ( spl24_12
  <=> op(e1,e4) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_12])]) ).

fof(f1949,plain,
    ( spl24_4
    | ~ spl24_139
    | ~ spl24_142 ),
    inference(avatar_contradiction_clause,[],[f1948]) ).

fof(f1948,plain,
    ( $false
    | spl24_4
    | ~ spl24_139
    | ~ spl24_142 ),
    inference(subsumption_resolution,[],[f1947,f1002]) ).

fof(f1002,plain,
    ( e0 = op(e3,e4)
    | ~ spl24_139 ),
    inference(avatar_component_clause,[],[f1000]) ).

fof(f1000,plain,
    ( spl24_139
  <=> e0 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_139])]) ).

fof(f1947,plain,
    ( e0 != op(e3,e4)
    | spl24_4
    | ~ spl24_142 ),
    inference(forward_demodulation,[],[f361,f1016]) ).

fof(f1016,plain,
    ( e0 = op(e4,e3)
    | ~ spl24_142 ),
    inference(avatar_component_clause,[],[f1014]) ).

fof(f1014,plain,
    ( spl24_142
  <=> e0 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_142])]) ).

fof(f361,plain,
    ( op(e3,e4) != op(e4,e3)
    | spl24_4 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f359,plain,
    ( spl24_4
  <=> op(e3,e4) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_4])]) ).

fof(f1940,plain,
    ( ~ spl24_82
    | ~ spl24_87 ),
    inference(avatar_contradiction_clause,[],[f1939]) ).

fof(f1939,plain,
    ( $false
    | ~ spl24_82
    | ~ spl24_87 ),
    inference(subsumption_resolution,[],[f1938,f152]) ).

fof(f152,plain,
    e3 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f1938,plain,
    ( e3 = e4
    | ~ spl24_82
    | ~ spl24_87 ),
    inference(forward_demodulation,[],[f746,f767]) ).

fof(f767,plain,
    ( e3 = op(e2,e2)
    | ~ spl24_87 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f765,plain,
    ( spl24_87
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_87])]) ).

fof(f746,plain,
    ( e4 = op(e2,e2)
    | ~ spl24_82 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f744,plain,
    ( spl24_82
  <=> e4 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_82])]) ).

fof(f1917,plain,
    ( ~ spl24_173
    | ~ spl24_81 ),
    inference(avatar_split_clause,[],[f1916,f740,f1154]) ).

fof(f1154,plain,
    ( spl24_173
  <=> e4 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_173])]) ).

fof(f1916,plain,
    ( e4 != op(e2,e1)
    | ~ spl24_81 ),
    inference(forward_demodulation,[],[f167,f742]) ).

fof(f167,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1915,plain,
    ( ~ spl24_176
    | ~ spl24_87 ),
    inference(avatar_split_clause,[],[f1914,f765,f1170]) ).

fof(f1170,plain,
    ( spl24_176
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_176])]) ).

fof(f1914,plain,
    ( e3 != op(e2,e1)
    | ~ spl24_87 ),
    inference(forward_demodulation,[],[f227,f767]) ).

fof(f227,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1905,plain,
    ( ~ spl24_166
    | ~ spl24_98 ),
    inference(avatar_split_clause,[],[f1904,f811,f1118]) ).

fof(f1118,plain,
    ( spl24_166
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_166])]) ).

fof(f811,plain,
    ( spl24_98
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_98])]) ).

fof(f1904,plain,
    ( e1 != op(e3,e2)
    | ~ spl24_98 ),
    inference(forward_demodulation,[],[f240,f813]) ).

fof(f813,plain,
    ( e1 = op(e3,e3)
    | ~ spl24_98 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f240,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1884,plain,
    ( ~ spl24_126
    | ~ spl24_94 ),
    inference(avatar_split_clause,[],[f1883,f794,f944]) ).

fof(f944,plain,
    ( spl24_126
  <=> e2 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_126])]) ).

fof(f1883,plain,
    ( e2 != op(e4,e1)
    | ~ spl24_94 ),
    inference(forward_demodulation,[],[f249,f796]) ).

fof(f249,plain,
    op(e4,e1) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1857,plain,
    ( spl24_16
    | ~ spl24_105
    | ~ spl24_109 ),
    inference(avatar_contradiction_clause,[],[f1856]) ).

fof(f1856,plain,
    ( $false
    | spl24_16
    | ~ spl24_105
    | ~ spl24_109 ),
    inference(subsumption_resolution,[],[f1855,f857]) ).

fof(f857,plain,
    ( e4 = op(e0,e4)
    | ~ spl24_105 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f1855,plain,
    ( e4 != op(e0,e4)
    | spl24_16
    | ~ spl24_109 ),
    inference(forward_demodulation,[],[f418,f874]) ).

fof(f874,plain,
    ( e4 = op(e4,e0)
    | ~ spl24_109 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f418,plain,
    ( op(e0,e4) != op(e4,e0)
    | spl24_16 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f416,plain,
    ( spl24_16
  <=> op(e0,e4) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_16])]) ).

fof(f1846,plain,
    ( ~ spl24_118
    | ~ spl24_141 ),
    inference(avatar_contradiction_clause,[],[f1845]) ).

fof(f1845,plain,
    ( $false
    | ~ spl24_118
    | ~ spl24_141 ),
    inference(subsumption_resolution,[],[f1844,f145]) ).

fof(f145,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f1844,plain,
    ( e0 = e3
    | ~ spl24_118
    | ~ spl24_141 ),
    inference(forward_demodulation,[],[f912,f1012]) ).

fof(f1012,plain,
    ( e0 = op(e4,e1)
    | ~ spl24_141 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f1010,plain,
    ( spl24_141
  <=> e0 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_141])]) ).

fof(f1825,plain,
    ( ~ spl24_153
    | ~ spl24_152 ),
    inference(avatar_split_clause,[],[f1824,f1058,f1062]) ).

fof(f1062,plain,
    ( spl24_153
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_153])]) ).

fof(f1824,plain,
    ( e3 != op(e3,e1)
    | ~ spl24_152 ),
    inference(forward_demodulation,[],[f233,f1060]) ).

fof(f233,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1808,plain,
    ( ~ spl24_131
    | spl24_8
    | ~ spl24_135 ),
    inference(avatar_split_clause,[],[f1807,f982,f378,f965]) ).

fof(f965,plain,
    ( spl24_131
  <=> e1 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_131])]) ).

fof(f378,plain,
    ( spl24_8
  <=> op(e2,e4) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_8])]) ).

fof(f982,plain,
    ( spl24_135
  <=> e1 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_135])]) ).

fof(f1807,plain,
    ( e1 != op(e2,e4)
    | spl24_8
    | ~ spl24_135 ),
    inference(forward_demodulation,[],[f380,f984]) ).

fof(f984,plain,
    ( e1 = op(e4,e2)
    | ~ spl24_135 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f380,plain,
    ( op(e2,e4) != op(e4,e2)
    | spl24_8 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f1779,plain,
    ( spl24_94
    | ~ spl24_81 ),
    inference(avatar_split_clause,[],[f1778,f740,f794]) ).

fof(f1778,plain,
    ( e2 = op(e4,e4)
    | ~ spl24_81 ),
    inference(forward_demodulation,[],[f140,f742]) ).

fof(f1775,plain,
    ( ~ spl24_144
    | ~ spl24_81 ),
    inference(avatar_split_clause,[],[f1774,f740,f1023]) ).

fof(f1023,plain,
    ( spl24_144
  <=> e4 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_144])]) ).

fof(f1774,plain,
    ( e4 != op(e1,e3)
    | ~ spl24_81 ),
    inference(forward_demodulation,[],[f218,f742]) ).

fof(f218,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1698,plain,
    ( ~ spl24_179
    | ~ spl24_178 ),
    inference(avatar_split_clause,[],[f1696,f1182,f1186]) ).

fof(f1186,plain,
    ( spl24_179
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_179])]) ).

fof(f1696,plain,
    ( e2 != op(e2,e1)
    | ~ spl24_178 ),
    inference(backward_demodulation,[],[f223,f1184]) ).

fof(f1184,plain,
    ( e2 = op(e2,e0)
    | ~ spl24_178 ),
    inference(avatar_component_clause,[],[f1182]) ).

fof(f223,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1690,plain,
    ( ~ spl24_182
    | ~ spl24_191 ),
    inference(avatar_split_clause,[],[f1686,f1252,f1202]) ).

fof(f1202,plain,
    ( spl24_182
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_182])]) ).

fof(f1686,plain,
    ( e1 != op(e2,e1)
    | ~ spl24_191 ),
    inference(backward_demodulation,[],[f164,f1254]) ).

fof(f164,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1685,plain,
    ( ~ spl24_130
    | ~ spl24_192 ),
    inference(avatar_split_clause,[],[f1681,f1259,f961]) ).

fof(f961,plain,
    ( spl24_130
  <=> e1 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_130])]) ).

fof(f1681,plain,
    ( e1 != op(e1,e4)
    | ~ spl24_192 ),
    inference(backward_demodulation,[],[f216,f1261]) ).

fof(f216,plain,
    op(e1,e0) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1684,plain,
    ( ~ spl24_162
    | ~ spl24_192 ),
    inference(avatar_split_clause,[],[f1680,f1259,f1101]) ).

fof(f1101,plain,
    ( spl24_162
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_162])]) ).

fof(f1680,plain,
    ( e1 != op(e1,e3)
    | ~ spl24_192 ),
    inference(backward_demodulation,[],[f215,f1261]) ).

fof(f215,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1682,plain,
    ( ~ spl24_181
    | ~ spl24_192 ),
    inference(avatar_split_clause,[],[f1678,f1259,f1198]) ).

fof(f1198,plain,
    ( spl24_181
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_181])]) ).

fof(f1678,plain,
    ( e1 != op(e2,e0)
    | ~ spl24_192 ),
    inference(backward_demodulation,[],[f157,f1261]) ).

fof(f157,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f1656,plain,
    ( ~ spl24_184
    | ~ spl24_138 ),
    inference(avatar_split_clause,[],[f1655,f996,f1211]) ).

fof(f996,plain,
    ( spl24_138
  <=> e0 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_138])]) ).

fof(f1655,plain,
    ( e0 != op(e2,e1)
    | ~ spl24_138 ),
    inference(forward_demodulation,[],[f229,f998]) ).

fof(f998,plain,
    ( e0 = op(e2,e4)
    | ~ spl24_138 ),
    inference(avatar_component_clause,[],[f996]) ).

fof(f229,plain,
    op(e2,e1) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1639,plain,
    ( ~ spl24_171
    | ~ spl24_105 ),
    inference(avatar_split_clause,[],[f1638,f855,f1145]) ).

fof(f1145,plain,
    ( spl24_171
  <=> e4 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_171])]) ).

fof(f1638,plain,
    ( e4 != op(e0,e2)
    | ~ spl24_105 ),
    inference(forward_demodulation,[],[f211,f857]) ).

fof(f211,plain,
    op(e0,e2) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1622,plain,
    ( ~ spl24_167
    | ~ spl24_103 ),
    inference(avatar_split_clause,[],[f1621,f832,f1124]) ).

fof(f832,plain,
    ( spl24_103
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_103])]) ).

fof(f1621,plain,
    ( e0 != op(e0,e3)
    | ~ spl24_103 ),
    inference(forward_demodulation,[],[f185,f834]) ).

fof(f834,plain,
    ( e0 = op(e3,e3)
    | ~ spl24_103 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f185,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1620,plain,
    ( ~ spl24_167
    | ~ spl24_100 ),
    inference(avatar_split_clause,[],[f1619,f820,f1124]) ).

fof(f1619,plain,
    ( e0 != op(e0,e3)
    | ~ spl24_100 ),
    inference(forward_demodulation,[],[f205,f822]) ).

fof(f205,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1608,plain,
    ( ~ spl24_111
    | ~ spl24_109 ),
    inference(avatar_split_clause,[],[f1607,f872,f880]) ).

fof(f880,plain,
    ( spl24_111
  <=> e4 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_111])]) ).

fof(f1607,plain,
    ( e4 != op(e4,e2)
    | ~ spl24_109 ),
    inference(forward_demodulation,[],[f244,f874]) ).

fof(f244,plain,
    op(e4,e0) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1591,plain,
    ( ~ spl24_87
    | ~ spl24_92 ),
    inference(avatar_contradiction_clause,[],[f1590]) ).

fof(f1590,plain,
    ( $false
    | ~ spl24_87
    | ~ spl24_92 ),
    inference(subsumption_resolution,[],[f1589,f150]) ).

fof(f150,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f1589,plain,
    ( e2 = e3
    | ~ spl24_87
    | ~ spl24_92 ),
    inference(backward_demodulation,[],[f767,f788]) ).

fof(f788,plain,
    ( e2 = op(e2,e2)
    | ~ spl24_92 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f786,plain,
    ( spl24_92
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_92])]) ).

fof(f1588,plain,
    ( spl24_92
    | ~ spl24_91 ),
    inference(avatar_split_clause,[],[f1587,f782,f786]) ).

fof(f782,plain,
    ( spl24_91
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_91])]) ).

fof(f1587,plain,
    ( e2 = op(e2,e2)
    | ~ spl24_91 ),
    inference(forward_demodulation,[],[f140,f784]) ).

fof(f784,plain,
    ( e2 = op(e1,e1)
    | ~ spl24_91 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f1583,plain,
    ( ~ spl24_81
    | ~ spl24_86 ),
    inference(avatar_contradiction_clause,[],[f1582]) ).

fof(f1582,plain,
    ( $false
    | ~ spl24_81
    | ~ spl24_86 ),
    inference(subsumption_resolution,[],[f1581,f152]) ).

fof(f1581,plain,
    ( e3 = e4
    | ~ spl24_81
    | ~ spl24_86 ),
    inference(backward_demodulation,[],[f742,f763]) ).

fof(f763,plain,
    ( e3 = op(e1,e1)
    | ~ spl24_86 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f761,plain,
    ( spl24_86
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_86])]) ).

fof(f1566,plain,
    ( ~ spl24_87
    | ~ spl24_97 ),
    inference(avatar_contradiction_clause,[],[f1565]) ).

fof(f1565,plain,
    ( $false
    | ~ spl24_87
    | ~ spl24_97 ),
    inference(subsumption_resolution,[],[f1564,f148]) ).

fof(f148,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f1564,plain,
    ( e1 = e3
    | ~ spl24_87
    | ~ spl24_97 ),
    inference(forward_demodulation,[],[f767,f809]) ).

fof(f809,plain,
    ( e1 = op(e2,e2)
    | ~ spl24_97 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f807,plain,
    ( spl24_97
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_97])]) ).

fof(f1545,plain,
    ( ~ spl24_94
    | ~ spl24_99 ),
    inference(avatar_contradiction_clause,[],[f1544]) ).

fof(f1544,plain,
    ( $false
    | ~ spl24_94
    | ~ spl24_99 ),
    inference(subsumption_resolution,[],[f1543,f147]) ).

fof(f1543,plain,
    ( e1 = e2
    | ~ spl24_94
    | ~ spl24_99 ),
    inference(forward_demodulation,[],[f796,f817]) ).

fof(f817,plain,
    ( e1 = op(e4,e4)
    | ~ spl24_99 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f815,plain,
    ( spl24_99
  <=> e1 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_99])]) ).

fof(f1542,plain,
    ( ~ spl24_95
    | ~ spl24_100 ),
    inference(avatar_contradiction_clause,[],[f1541]) ).

fof(f1541,plain,
    ( $false
    | ~ spl24_95
    | ~ spl24_100 ),
    inference(subsumption_resolution,[],[f1540,f143]) ).

fof(f1540,plain,
    ( e0 = e1
    | ~ spl24_95
    | ~ spl24_100 ),
    inference(forward_demodulation,[],[f801,f822]) ).

fof(f801,plain,
    ( op(e0,e0) = e1
    | ~ spl24_95 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f799,plain,
    ( spl24_95
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_95])]) ).

fof(f1539,plain,
    ~ spl24_96,
    inference(avatar_contradiction_clause,[],[f1538]) ).

fof(f1538,plain,
    ( $false
    | ~ spl24_96 ),
    inference(subsumption_resolution,[],[f1537,f147]) ).

fof(f1537,plain,
    ( e1 = e2
    | ~ spl24_96 ),
    inference(forward_demodulation,[],[f1536,f805]) ).

fof(f805,plain,
    ( e1 = op(e1,e1)
    | ~ spl24_96 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f803,plain,
    ( spl24_96
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_96])]) ).

fof(f1536,plain,
    ( e2 = op(e1,e1)
    | ~ spl24_96 ),
    inference(backward_demodulation,[],[f140,f805]) ).

fof(f1350,plain,
    ( spl24_109
    | ~ spl24_194 ),
    inference(avatar_split_clause,[],[f1340,f1281,f872]) ).

fof(f1281,plain,
    ( spl24_194
  <=> e0 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_194])]) ).

fof(f1340,plain,
    ( e4 = op(e4,e0)
    | ~ spl24_194 ),
    inference(backward_demodulation,[],[f312,f1283]) ).

fof(f1283,plain,
    ( e0 = unit
    | ~ spl24_194 ),
    inference(avatar_component_clause,[],[f1281]) ).

fof(f1349,plain,
    ( spl24_105
    | ~ spl24_194 ),
    inference(avatar_split_clause,[],[f1339,f1281,f855]) ).

fof(f1339,plain,
    ( e4 = op(e0,e4)
    | ~ spl24_194 ),
    inference(backward_demodulation,[],[f311,f1283]) ).

fof(f311,plain,
    e4 = op(unit,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1348,plain,
    ( spl24_152
    | ~ spl24_194 ),
    inference(avatar_split_clause,[],[f1338,f1281,f1058]) ).

fof(f1338,plain,
    ( e3 = op(e3,e0)
    | ~ spl24_194 ),
    inference(backward_demodulation,[],[f310,f1283]) ).

fof(f310,plain,
    e3 = op(e3,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f1347,plain,
    ( spl24_149
    | ~ spl24_194 ),
    inference(avatar_split_clause,[],[f1337,f1281,f1045]) ).

fof(f1337,plain,
    ( e3 = op(e0,e3)
    | ~ spl24_194 ),
    inference(backward_demodulation,[],[f309,f1283]) ).

fof(f309,plain,
    e3 = op(unit,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1346,plain,
    ( spl24_178
    | ~ spl24_194 ),
    inference(avatar_split_clause,[],[f1336,f1281,f1182]) ).

fof(f1336,plain,
    ( e2 = op(e2,e0)
    | ~ spl24_194 ),
    inference(backward_demodulation,[],[f308,f1283]) ).

fof(f308,plain,
    e2 = op(e2,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f1345,plain,
    ( spl24_177
    | ~ spl24_194 ),
    inference(avatar_split_clause,[],[f1335,f1281,f1177]) ).

fof(f1335,plain,
    ( e2 = op(e0,e2)
    | ~ spl24_194 ),
    inference(backward_demodulation,[],[f307,f1283]) ).

fof(f1344,plain,
    ( spl24_192
    | ~ spl24_194 ),
    inference(avatar_split_clause,[],[f1334,f1281,f1259]) ).

fof(f1334,plain,
    ( e1 = op(e1,e0)
    | ~ spl24_194 ),
    inference(backward_demodulation,[],[f306,f1283]) ).

fof(f1343,plain,
    ( spl24_191
    | ~ spl24_194 ),
    inference(avatar_split_clause,[],[f1333,f1281,f1252]) ).

fof(f1333,plain,
    ( e1 = op(e0,e1)
    | ~ spl24_194 ),
    inference(backward_demodulation,[],[f305,f1283]) ).

fof(f305,plain,
    e1 = op(unit,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1342,plain,
    ( spl24_100
    | ~ spl24_194 ),
    inference(avatar_split_clause,[],[f1332,f1281,f820]) ).

fof(f1332,plain,
    ( e0 = op(e0,e0)
    | ~ spl24_194 ),
    inference(backward_demodulation,[],[f304,f1283]) ).

fof(f1321,plain,
    ( spl24_162
    | spl24_156
    | spl24_150
    | spl24_144 ),
    inference(avatar_split_clause,[],[f1320,f1023,f1049,f1075,f1101]) ).

fof(f1320,plain,
    ( e4 = op(e1,e3)
    | e3 = op(e1,e3)
    | e2 = op(e1,e3)
    | e1 = op(e1,e3) ),
    inference(subsumption_resolution,[],[f322,f845]) ).

fof(f845,plain,
    e0 != op(e1,e3),
    inference(forward_demodulation,[],[f220,f843]) ).

fof(f220,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f322,plain,
    ( e4 = op(e1,e3)
    | e3 = op(e1,e3)
    | e2 = op(e1,e3)
    | e1 = op(e1,e3)
    | e0 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( ( e4 = op(e4,e4)
      | e3 = op(e4,e4)
      | e2 = op(e4,e4)
      | e1 = op(e4,e4)
      | e0 = op(e4,e4) )
    & ( e4 = op(e4,e3)
      | e3 = op(e4,e3)
      | e2 = op(e4,e3)
      | e1 = op(e4,e3)
      | e0 = op(e4,e3) )
    & ( e4 = op(e4,e2)
      | e3 = op(e4,e2)
      | e2 = op(e4,e2)
      | e1 = op(e4,e2)
      | e0 = op(e4,e2) )
    & ( e4 = op(e4,e1)
      | e3 = op(e4,e1)
      | e2 = op(e4,e1)
      | e1 = op(e4,e1)
      | e0 = op(e4,e1) )
    & ( e4 = op(e4,e0)
      | e3 = op(e4,e0)
      | e2 = op(e4,e0)
      | e1 = op(e4,e0)
      | e0 = op(e4,e0) )
    & ( e4 = op(e3,e4)
      | e3 = op(e3,e4)
      | e2 = op(e3,e4)
      | e1 = op(e3,e4)
      | e0 = op(e3,e4) )
    & ( e4 = op(e3,e3)
      | e3 = op(e3,e3)
      | e2 = op(e3,e3)
      | e1 = op(e3,e3)
      | e0 = op(e3,e3) )
    & ( e4 = op(e3,e2)
      | e3 = op(e3,e2)
      | e2 = op(e3,e2)
      | e1 = op(e3,e2)
      | e0 = op(e3,e2) )
    & ( e4 = op(e3,e1)
      | e3 = op(e3,e1)
      | e2 = op(e3,e1)
      | e1 = op(e3,e1)
      | e0 = op(e3,e1) )
    & ( e4 = op(e3,e0)
      | e3 = op(e3,e0)
      | e2 = op(e3,e0)
      | e1 = op(e3,e0)
      | e0 = op(e3,e0) )
    & ( e4 = op(e2,e4)
      | e3 = op(e2,e4)
      | e2 = op(e2,e4)
      | e1 = op(e2,e4)
      | e0 = op(e2,e4) )
    & ( e4 = op(e2,e3)
      | e3 = op(e2,e3)
      | e2 = op(e2,e3)
      | e1 = op(e2,e3)
      | e0 = op(e2,e3) )
    & ( e4 = op(e2,e2)
      | e3 = op(e2,e2)
      | e2 = op(e2,e2)
      | e1 = op(e2,e2)
      | e0 = op(e2,e2) )
    & ( e4 = op(e2,e1)
      | e3 = op(e2,e1)
      | e2 = op(e2,e1)
      | e1 = op(e2,e1)
      | e0 = op(e2,e1) )
    & ( e4 = op(e2,e0)
      | e3 = op(e2,e0)
      | e2 = op(e2,e0)
      | e1 = op(e2,e0)
      | e0 = op(e2,e0) )
    & ( e4 = op(e1,e4)
      | e3 = op(e1,e4)
      | e2 = op(e1,e4)
      | e1 = op(e1,e4)
      | e0 = op(e1,e4) )
    & ( e4 = op(e1,e3)
      | e3 = op(e1,e3)
      | e2 = op(e1,e3)
      | e1 = op(e1,e3)
      | e0 = op(e1,e3) )
    & ( e4 = op(e1,e2)
      | e3 = op(e1,e2)
      | e2 = op(e1,e2)
      | e1 = op(e1,e2)
      | e0 = op(e1,e2) )
    & ( e4 = op(e1,e1)
      | e3 = op(e1,e1)
      | e2 = op(e1,e1)
      | e1 = op(e1,e1)
      | e0 = op(e1,e1) )
    & ( e4 = op(e1,e0)
      | e3 = op(e1,e0)
      | e2 = op(e1,e0)
      | e1 = op(e1,e0)
      | e0 = op(e1,e0) )
    & ( e4 = op(e0,e4)
      | e3 = op(e0,e4)
      | e2 = op(e0,e4)
      | e1 = op(e0,e4)
      | e0 = op(e0,e4) )
    & ( e4 = op(e0,e3)
      | e3 = op(e0,e3)
      | e2 = op(e0,e3)
      | e1 = op(e0,e3)
      | e0 = op(e0,e3) )
    & ( e4 = op(e0,e2)
      | e3 = op(e0,e2)
      | e2 = op(e0,e2)
      | e1 = op(e0,e2)
      | e0 = op(e0,e2) )
    & ( e4 = op(e0,e1)
      | e3 = op(e0,e1)
      | e2 = op(e0,e1)
      | e1 = op(e0,e1)
      | e0 = op(e0,e1) )
    & ( op(e0,e0) = e4
      | op(e0,e0) = e3
      | op(e0,e0) = e2
      | op(e0,e0) = e1
      | e0 = op(e0,e0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Nh4lU1j9zw/Vampire---4.8_14228',ax1) ).

fof(f1319,plain,
    ( spl24_130
    | spl24_122
    | spl24_114
    | spl24_106 ),
    inference(avatar_split_clause,[],[f1318,f859,f893,f927,f961]) ).

fof(f1318,plain,
    ( e4 = op(e1,e4)
    | e3 = op(e1,e4)
    | e2 = op(e1,e4)
    | e1 = op(e1,e4) ),
    inference(subsumption_resolution,[],[f323,f844]) ).

fof(f844,plain,
    e0 != op(e1,e4),
    inference(forward_demodulation,[],[f221,f843]) ).

fof(f221,plain,
    op(e1,e2) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f323,plain,
    ( e4 = op(e1,e4)
    | e3 = op(e1,e4)
    | e2 = op(e1,e4)
    | e1 = op(e1,e4)
    | e0 = op(e1,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1316,plain,
    ( spl24_184
    | spl24_182
    | spl24_179
    | spl24_176
    | spl24_173 ),
    inference(avatar_split_clause,[],[f325,f1154,f1170,f1186,f1202,f1211]) ).

fof(f325,plain,
    ( e4 = op(e2,e1)
    | e3 = op(e2,e1)
    | e2 = op(e2,e1)
    | e1 = op(e2,e1)
    | e0 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1300,plain,
    ( spl24_194
    | spl24_195
    | spl24_196
    | spl24_197
    | spl24_198 ),
    inference(avatar_split_clause,[],[f313,f1297,f1293,f1289,f1285,f1281]) ).

fof(f313,plain,
    ( e4 = unit
    | e3 = unit
    | e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1243,plain,
    ( spl24_189
    | spl24_91
    | spl24_179
    | spl24_159
    | spl24_126 ),
    inference(avatar_split_clause,[],[f268,f944,f1088,f1186,f782,f1240]) ).

fof(f268,plain,
    ( e2 = op(e4,e1)
    | e2 = op(e3,e1)
    | e2 = op(e2,e1)
    | e2 = op(e1,e1)
    | e2 = op(e0,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( ( e4 = op(e4,e4)
      | e4 = op(e3,e4)
      | e4 = op(e2,e4)
      | e4 = op(e1,e4)
      | e4 = op(e0,e4) )
    & ( e4 = op(e4,e4)
      | e4 = op(e4,e3)
      | e4 = op(e4,e2)
      | e4 = op(e4,e1)
      | e4 = op(e4,e0) )
    & ( e3 = op(e4,e4)
      | e3 = op(e3,e4)
      | e3 = op(e2,e4)
      | e3 = op(e1,e4)
      | e3 = op(e0,e4) )
    & ( e3 = op(e4,e4)
      | e3 = op(e4,e3)
      | e3 = op(e4,e2)
      | e3 = op(e4,e1)
      | e3 = op(e4,e0) )
    & ( e2 = op(e4,e4)
      | e2 = op(e3,e4)
      | e2 = op(e2,e4)
      | e2 = op(e1,e4)
      | e2 = op(e0,e4) )
    & ( e2 = op(e4,e4)
      | e2 = op(e4,e3)
      | e2 = op(e4,e2)
      | e2 = op(e4,e1)
      | e2 = op(e4,e0) )
    & ( e1 = op(e4,e4)
      | e1 = op(e3,e4)
      | e1 = op(e2,e4)
      | e1 = op(e1,e4)
      | e1 = op(e0,e4) )
    & ( e1 = op(e4,e4)
      | e1 = op(e4,e3)
      | e1 = op(e4,e2)
      | e1 = op(e4,e1)
      | e1 = op(e4,e0) )
    & ( e0 = op(e4,e4)
      | e0 = op(e3,e4)
      | e0 = op(e2,e4)
      | e0 = op(e1,e4)
      | e0 = op(e0,e4) )
    & ( e0 = op(e4,e4)
      | e0 = op(e4,e3)
      | e0 = op(e4,e2)
      | e0 = op(e4,e1)
      | e0 = op(e4,e0) )
    & ( e4 = op(e4,e3)
      | e4 = op(e3,e3)
      | e4 = op(e2,e3)
      | e4 = op(e1,e3)
      | e4 = op(e0,e3) )
    & ( e4 = op(e3,e4)
      | e4 = op(e3,e3)
      | e4 = op(e3,e2)
      | e4 = op(e3,e1)
      | e4 = op(e3,e0) )
    & ( e3 = op(e4,e3)
      | e3 = op(e3,e3)
      | e3 = op(e2,e3)
      | e3 = op(e1,e3)
      | e3 = op(e0,e3) )
    & ( e3 = op(e3,e4)
      | e3 = op(e3,e3)
      | e3 = op(e3,e2)
      | e3 = op(e3,e1)
      | e3 = op(e3,e0) )
    & ( e2 = op(e4,e3)
      | e2 = op(e3,e3)
      | e2 = op(e2,e3)
      | e2 = op(e1,e3)
      | e2 = op(e0,e3) )
    & ( e2 = op(e3,e4)
      | e2 = op(e3,e3)
      | e2 = op(e3,e2)
      | e2 = op(e3,e1)
      | e2 = op(e3,e0) )
    & ( e1 = op(e4,e3)
      | e1 = op(e3,e3)
      | e1 = op(e2,e3)
      | e1 = op(e1,e3)
      | e1 = op(e0,e3) )
    & ( e1 = op(e3,e4)
      | e1 = op(e3,e3)
      | e1 = op(e3,e2)
      | e1 = op(e3,e1)
      | e1 = op(e3,e0) )
    & ( e0 = op(e4,e3)
      | e0 = op(e3,e3)
      | e0 = op(e2,e3)
      | e0 = op(e1,e3)
      | e0 = op(e0,e3) )
    & ( e0 = op(e3,e4)
      | e0 = op(e3,e3)
      | e0 = op(e3,e2)
      | e0 = op(e3,e1)
      | e0 = op(e3,e0) )
    & ( e4 = op(e4,e2)
      | e4 = op(e3,e2)
      | e4 = op(e2,e2)
      | e4 = op(e1,e2)
      | e4 = op(e0,e2) )
    & ( e4 = op(e2,e4)
      | e4 = op(e2,e3)
      | e4 = op(e2,e2)
      | e4 = op(e2,e1)
      | e4 = op(e2,e0) )
    & ( e3 = op(e4,e2)
      | e3 = op(e3,e2)
      | e3 = op(e2,e2)
      | e3 = op(e1,e2)
      | e3 = op(e0,e2) )
    & ( e3 = op(e2,e4)
      | e3 = op(e2,e3)
      | e3 = op(e2,e2)
      | e3 = op(e2,e1)
      | e3 = op(e2,e0) )
    & ( e2 = op(e4,e2)
      | e2 = op(e3,e2)
      | e2 = op(e2,e2)
      | e2 = op(e1,e2)
      | e2 = op(e0,e2) )
    & ( e2 = op(e2,e4)
      | e2 = op(e2,e3)
      | e2 = op(e2,e2)
      | e2 = op(e2,e1)
      | e2 = op(e2,e0) )
    & ( e1 = op(e4,e2)
      | e1 = op(e3,e2)
      | e1 = op(e2,e2)
      | e1 = op(e1,e2)
      | e1 = op(e0,e2) )
    & ( e1 = op(e2,e4)
      | e1 = op(e2,e3)
      | e1 = op(e2,e2)
      | e1 = op(e2,e1)
      | e1 = op(e2,e0) )
    & ( e0 = op(e4,e2)
      | e0 = op(e3,e2)
      | e0 = op(e2,e2)
      | e0 = op(e1,e2)
      | e0 = op(e0,e2) )
    & ( e0 = op(e2,e4)
      | e0 = op(e2,e3)
      | e0 = op(e2,e2)
      | e0 = op(e2,e1)
      | e0 = op(e2,e0) )
    & ( e4 = op(e4,e1)
      | e4 = op(e3,e1)
      | e4 = op(e2,e1)
      | e4 = op(e1,e1)
      | e4 = op(e0,e1) )
    & ( e4 = op(e1,e4)
      | e4 = op(e1,e3)
      | e4 = op(e1,e2)
      | e4 = op(e1,e1)
      | e4 = op(e1,e0) )
    & ( e3 = op(e4,e1)
      | e3 = op(e3,e1)
      | e3 = op(e2,e1)
      | e3 = op(e1,e1)
      | e3 = op(e0,e1) )
    & ( e3 = op(e1,e4)
      | e3 = op(e1,e3)
      | e3 = op(e1,e2)
      | e3 = op(e1,e1)
      | e3 = op(e1,e0) )
    & ( e2 = op(e4,e1)
      | e2 = op(e3,e1)
      | e2 = op(e2,e1)
      | e2 = op(e1,e1)
      | e2 = op(e0,e1) )
    & ( e2 = op(e1,e4)
      | e2 = op(e1,e3)
      | e2 = op(e1,e2)
      | e2 = op(e1,e1)
      | e2 = op(e1,e0) )
    & ( e1 = op(e4,e1)
      | e1 = op(e3,e1)
      | e1 = op(e2,e1)
      | e1 = op(e1,e1)
      | e1 = op(e0,e1) )
    & ( e1 = op(e1,e4)
      | e1 = op(e1,e3)
      | e1 = op(e1,e2)
      | e1 = op(e1,e1)
      | e1 = op(e1,e0) )
    & ( e0 = op(e4,e1)
      | e0 = op(e3,e1)
      | e0 = op(e2,e1)
      | e0 = op(e1,e1)
      | e0 = op(e0,e1) )
    & ( e0 = op(e1,e4)
      | e0 = op(e1,e3)
      | e0 = op(e1,e2)
      | e0 = op(e1,e1)
      | e0 = op(e1,e0) )
    & ( e4 = op(e4,e0)
      | e4 = op(e3,e0)
      | e4 = op(e2,e0)
      | e4 = op(e1,e0)
      | op(e0,e0) = e4 )
    & ( e4 = op(e0,e4)
      | e4 = op(e0,e3)
      | e4 = op(e0,e2)
      | e4 = op(e0,e1)
      | op(e0,e0) = e4 )
    & ( e3 = op(e4,e0)
      | e3 = op(e3,e0)
      | e3 = op(e2,e0)
      | e3 = op(e1,e0)
      | op(e0,e0) = e3 )
    & ( e3 = op(e0,e4)
      | e3 = op(e0,e3)
      | e3 = op(e0,e2)
      | e3 = op(e0,e1)
      | op(e0,e0) = e3 )
    & ( e2 = op(e4,e0)
      | e2 = op(e3,e0)
      | e2 = op(e2,e0)
      | e2 = op(e1,e0)
      | op(e0,e0) = e2 )
    & ( e2 = op(e0,e4)
      | e2 = op(e0,e3)
      | e2 = op(e0,e2)
      | e2 = op(e0,e1)
      | op(e0,e0) = e2 )
    & ( e1 = op(e4,e0)
      | e1 = op(e3,e0)
      | e1 = op(e2,e0)
      | e1 = op(e1,e0)
      | op(e0,e0) = e1 )
    & ( e1 = op(e0,e4)
      | e1 = op(e0,e3)
      | e1 = op(e0,e2)
      | e1 = op(e0,e1)
      | op(e0,e0) = e1 )
    & ( e0 = op(e4,e0)
      | e0 = op(e3,e0)
      | e0 = op(e2,e0)
      | e0 = op(e1,e0)
      | e0 = op(e0,e0) )
    & ( e0 = op(e0,e4)
      | e0 = op(e0,e3)
      | e0 = op(e0,e2)
      | e0 = op(e0,e1)
      | e0 = op(e0,e0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Nh4lU1j9zw/Vampire---4.8_14228',ax3) ).

fof(f1231,plain,
    ( spl24_187
    | spl24_86
    | spl24_176
    | spl24_153
    | spl24_118 ),
    inference(avatar_split_clause,[],[f270,f910,f1062,f1170,f761,f1228]) ).

fof(f270,plain,
    ( e3 = op(e4,e1)
    | e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1205,plain,
    ( spl24_181
    | spl24_182
    | spl24_97
    | spl24_163
    | spl24_131 ),
    inference(avatar_split_clause,[],[f275,f965,f1105,f807,f1202,f1198]) ).

fof(f275,plain,
    ( e1 = op(e2,e4)
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1196,plain,
    ( spl24_180
    | spl24_97
    | spl24_166
    | spl24_135 ),
    inference(avatar_split_clause,[],[f1191,f982,f1118,f807,f1193]) ).

fof(f1191,plain,
    ( e1 = op(e4,e2)
    | e1 = op(e3,e2)
    | e1 = op(e2,e2)
    | e1 = op(e0,e2) ),
    inference(subsumption_resolution,[],[f1190,f143]) ).

fof(f1190,plain,
    ( e0 = e1
    | e1 = op(e4,e2)
    | e1 = op(e3,e2)
    | e1 = op(e2,e2)
    | e1 = op(e0,e2) ),
    inference(forward_demodulation,[],[f276,f843]) ).

fof(f276,plain,
    ( e1 = op(e4,e2)
    | e1 = op(e3,e2)
    | e1 = op(e2,e2)
    | e1 = op(e1,e2)
    | e1 = op(e0,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1157,plain,
    ( spl24_172
    | spl24_173
    | spl24_82
    | spl24_145
    | spl24_107 ),
    inference(avatar_split_clause,[],[f281,f863,f1027,f744,f1154,f1150]) ).

fof(f281,plain,
    ( e4 = op(e2,e4)
    | e4 = op(e2,e3)
    | e4 = op(e2,e2)
    | e4 = op(e2,e1)
    | e4 = op(e2,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1148,plain,
    ( spl24_171
    | spl24_82
    | spl24_148
    | spl24_111 ),
    inference(avatar_split_clause,[],[f1143,f880,f1040,f744,f1145]) ).

fof(f1143,plain,
    ( e4 = op(e4,e2)
    | e4 = op(e3,e2)
    | e4 = op(e2,e2)
    | e4 = op(e0,e2) ),
    inference(subsumption_resolution,[],[f1142,f146]) ).

fof(f146,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f1142,plain,
    ( e0 = e4
    | e4 = op(e4,e2)
    | e4 = op(e3,e2)
    | e4 = op(e2,e2)
    | e4 = op(e0,e2) ),
    inference(forward_demodulation,[],[f282,f843]) ).

fof(f282,plain,
    ( e4 = op(e4,e2)
    | e4 = op(e3,e2)
    | e4 = op(e2,e2)
    | e4 = op(e1,e2)
    | e4 = op(e0,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1017,plain,
    ( spl24_140
    | spl24_141
    | spl24_142
    | spl24_104 ),
    inference(avatar_split_clause,[],[f1004,f836,f1014,f1010,f1006]) ).

fof(f1004,plain,
    ( e0 = op(e4,e4)
    | e0 = op(e4,e3)
    | e0 = op(e4,e1)
    | e0 = op(e4,e0) ),
    inference(subsumption_resolution,[],[f293,f849]) ).

fof(f849,plain,
    e0 != op(e4,e2),
    inference(forward_demodulation,[],[f179,f843]) ).

fof(f179,plain,
    op(e1,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f293,plain,
    ( e0 = op(e4,e4)
    | e0 = op(e4,e3)
    | e0 = op(e4,e2)
    | e0 = op(e4,e1)
    | e0 = op(e4,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1003,plain,
    ( spl24_137
    | spl24_138
    | spl24_139
    | spl24_104 ),
    inference(avatar_split_clause,[],[f990,f836,f1000,f996,f992]) ).

fof(f990,plain,
    ( e0 = op(e4,e4)
    | e0 = op(e3,e4)
    | e0 = op(e2,e4)
    | e0 = op(e0,e4) ),
    inference(subsumption_resolution,[],[f294,f844]) ).

fof(f294,plain,
    ( e0 = op(e4,e4)
    | e0 = op(e3,e4)
    | e0 = op(e2,e4)
    | e0 = op(e1,e4)
    | e0 = op(e0,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f852,plain,
    ~ spl24_102,
    inference(avatar_split_clause,[],[f851,f828]) ).

fof(f828,plain,
    ( spl24_102
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_102])]) ).

fof(f851,plain,
    e0 != op(e2,e2),
    inference(forward_demodulation,[],[f177,f843]) ).

fof(f177,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f847,plain,
    ~ spl24_101,
    inference(avatar_split_clause,[],[f846,f824]) ).

fof(f824,plain,
    ( spl24_101
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_101])]) ).

fof(f846,plain,
    e0 != op(e1,e1),
    inference(forward_demodulation,[],[f217,f843]) ).

fof(f217,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f842,plain,
    spl24_87,
    inference(avatar_split_clause,[],[f841,f765]) ).

fof(f841,plain,
    e3 = op(e2,e2),
    inference(backward_demodulation,[],[f141,f140]) ).

fof(f141,plain,
    e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
    inference(cnf_transformation,[],[f6]) ).

fof(f840,plain,
    spl24_81,
    inference(avatar_split_clause,[],[f142,f740]) ).

fof(f142,plain,
    e4 = op(e1,e1),
    inference(cnf_transformation,[],[f6]) ).

fof(f839,plain,
    ( spl24_100
    | spl24_101
    | spl24_102
    | spl24_103
    | spl24_104 ),
    inference(avatar_split_clause,[],[f131,f836,f832,f828,f824,f820]) ).

fof(f131,plain,
    ( e0 = op(e4,e4)
    | e0 = op(e3,e3)
    | e0 = op(e2,e2)
    | e0 = op(e1,e1)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( ( ( e4 != op(op(e4,e4),e4)
        & e4 = op(op(e4,e4),e4)
        & op(e4,e4) != op(e4,e4) )
      | sP23
      | sP22
      | sP21
      | sP20
      | sP19
      | sP18
      | sP17
      | sP16
      | sP15
      | sP14
      | sP13
      | sP12
      | sP11
      | sP10
      | sP9
      | sP8
      | sP7
      | sP6
      | sP5
      | sP4
      | sP3
      | sP2
      | sP1
      | sP0 )
    & ( e4 = op(e4,e4)
      | e4 = op(e3,e3)
      | e4 = op(e2,e2)
      | e4 = op(e1,e1)
      | op(e0,e0) = e4 )
    & ( e3 = op(e4,e4)
      | e3 = op(e3,e3)
      | e3 = op(e2,e2)
      | e3 = op(e1,e1)
      | op(e0,e0) = e3 )
    & ( e2 = op(e4,e4)
      | e2 = op(e3,e3)
      | e2 = op(e2,e2)
      | e2 = op(e1,e1)
      | op(e0,e0) = e2 )
    & ( e1 = op(e4,e4)
      | e1 = op(e3,e3)
      | e1 = op(e2,e2)
      | e1 = op(e1,e1)
      | op(e0,e0) = e1 )
    & ( e0 = op(e4,e4)
      | e0 = op(e3,e3)
      | e0 = op(e2,e2)
      | e0 = op(e1,e1)
      | e0 = op(e0,e0) ) ),
    inference(definition_folding,[],[f9,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).

fof(f10,plain,
    ( ( e0 != op(op(e0,e0),e0)
      & e0 = op(op(e0,e0),e0)
      & op(e0,e0) != op(e0,e0) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f11,plain,
    ( ( e1 != op(op(e0,e1),e0)
      & e0 = op(op(e0,e1),e1)
      & op(e0,e1) != op(e1,e0) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f12,plain,
    ( ( e2 != op(op(e0,e2),e0)
      & e0 = op(op(e0,e2),e2)
      & op(e0,e2) != op(e2,e0) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f13,plain,
    ( ( e3 != op(op(e0,e3),e0)
      & e0 = op(op(e0,e3),e3)
      & op(e0,e3) != op(e3,e0) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f14,plain,
    ( ( e4 != op(op(e0,e4),e0)
      & e0 = op(op(e0,e4),e4)
      & op(e0,e4) != op(e4,e0) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f15,plain,
    ( ( e0 != op(op(e1,e0),e1)
      & e1 = op(op(e1,e0),e0)
      & op(e0,e1) != op(e1,e0) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f16,plain,
    ( ( e1 != op(op(e1,e1),e1)
      & e1 = op(op(e1,e1),e1)
      & op(e1,e1) != op(e1,e1) )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f17,plain,
    ( ( e2 != op(op(e1,e2),e1)
      & e1 = op(op(e1,e2),e2)
      & op(e1,e2) != op(e2,e1) )
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f18,plain,
    ( ( e3 != op(op(e1,e3),e1)
      & e1 = op(op(e1,e3),e3)
      & op(e1,e3) != op(e3,e1) )
    | ~ sP8 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f19,plain,
    ( ( e4 != op(op(e1,e4),e1)
      & e1 = op(op(e1,e4),e4)
      & op(e1,e4) != op(e4,e1) )
    | ~ sP9 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f20,plain,
    ( ( e0 != op(op(e2,e0),e2)
      & e2 = op(op(e2,e0),e0)
      & op(e0,e2) != op(e2,e0) )
    | ~ sP10 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f21,plain,
    ( ( e1 != op(op(e2,e1),e2)
      & e2 = op(op(e2,e1),e1)
      & op(e1,e2) != op(e2,e1) )
    | ~ sP11 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f22,plain,
    ( ( e2 != op(op(e2,e2),e2)
      & e2 = op(op(e2,e2),e2)
      & op(e2,e2) != op(e2,e2) )
    | ~ sP12 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f23,plain,
    ( ( e3 != op(op(e2,e3),e2)
      & e2 = op(op(e2,e3),e3)
      & op(e2,e3) != op(e3,e2) )
    | ~ sP13 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f24,plain,
    ( ( e4 != op(op(e2,e4),e2)
      & e2 = op(op(e2,e4),e4)
      & op(e2,e4) != op(e4,e2) )
    | ~ sP14 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f25,plain,
    ( ( e0 != op(op(e3,e0),e3)
      & e3 = op(op(e3,e0),e0)
      & op(e0,e3) != op(e3,e0) )
    | ~ sP15 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f26,plain,
    ( ( e1 != op(op(e3,e1),e3)
      & e3 = op(op(e3,e1),e1)
      & op(e1,e3) != op(e3,e1) )
    | ~ sP16 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f27,plain,
    ( ( e2 != op(op(e3,e2),e3)
      & e3 = op(op(e3,e2),e2)
      & op(e2,e3) != op(e3,e2) )
    | ~ sP17 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f28,plain,
    ( ( e3 != op(op(e3,e3),e3)
      & e3 = op(op(e3,e3),e3)
      & op(e3,e3) != op(e3,e3) )
    | ~ sP18 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

fof(f29,plain,
    ( ( e4 != op(op(e3,e4),e3)
      & e3 = op(op(e3,e4),e4)
      & op(e3,e4) != op(e4,e3) )
    | ~ sP19 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).

fof(f30,plain,
    ( ( e0 != op(op(e4,e0),e4)
      & e4 = op(op(e4,e0),e0)
      & op(e0,e4) != op(e4,e0) )
    | ~ sP20 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).

fof(f31,plain,
    ( ( e1 != op(op(e4,e1),e4)
      & e4 = op(op(e4,e1),e1)
      & op(e1,e4) != op(e4,e1) )
    | ~ sP21 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).

fof(f32,plain,
    ( ( e2 != op(op(e4,e2),e4)
      & e4 = op(op(e4,e2),e2)
      & op(e2,e4) != op(e4,e2) )
    | ~ sP22 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).

fof(f33,plain,
    ( ( e3 != op(op(e4,e3),e4)
      & e4 = op(op(e4,e3),e3)
      & op(e3,e4) != op(e4,e3) )
    | ~ sP23 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).

fof(f9,plain,
    ( ( ( e4 != op(op(e4,e4),e4)
        & e4 = op(op(e4,e4),e4)
        & op(e4,e4) != op(e4,e4) )
      | ( e3 != op(op(e4,e3),e4)
        & e4 = op(op(e4,e3),e3)
        & op(e3,e4) != op(e4,e3) )
      | ( e2 != op(op(e4,e2),e4)
        & e4 = op(op(e4,e2),e2)
        & op(e2,e4) != op(e4,e2) )
      | ( e1 != op(op(e4,e1),e4)
        & e4 = op(op(e4,e1),e1)
        & op(e1,e4) != op(e4,e1) )
      | ( e0 != op(op(e4,e0),e4)
        & e4 = op(op(e4,e0),e0)
        & op(e0,e4) != op(e4,e0) )
      | ( e4 != op(op(e3,e4),e3)
        & e3 = op(op(e3,e4),e4)
        & op(e3,e4) != op(e4,e3) )
      | ( e3 != op(op(e3,e3),e3)
        & e3 = op(op(e3,e3),e3)
        & op(e3,e3) != op(e3,e3) )
      | ( e2 != op(op(e3,e2),e3)
        & e3 = op(op(e3,e2),e2)
        & op(e2,e3) != op(e3,e2) )
      | ( e1 != op(op(e3,e1),e3)
        & e3 = op(op(e3,e1),e1)
        & op(e1,e3) != op(e3,e1) )
      | ( e0 != op(op(e3,e0),e3)
        & e3 = op(op(e3,e0),e0)
        & op(e0,e3) != op(e3,e0) )
      | ( e4 != op(op(e2,e4),e2)
        & e2 = op(op(e2,e4),e4)
        & op(e2,e4) != op(e4,e2) )
      | ( e3 != op(op(e2,e3),e2)
        & e2 = op(op(e2,e3),e3)
        & op(e2,e3) != op(e3,e2) )
      | ( e2 != op(op(e2,e2),e2)
        & e2 = op(op(e2,e2),e2)
        & op(e2,e2) != op(e2,e2) )
      | ( e1 != op(op(e2,e1),e2)
        & e2 = op(op(e2,e1),e1)
        & op(e1,e2) != op(e2,e1) )
      | ( e0 != op(op(e2,e0),e2)
        & e2 = op(op(e2,e0),e0)
        & op(e0,e2) != op(e2,e0) )
      | ( e4 != op(op(e1,e4),e1)
        & e1 = op(op(e1,e4),e4)
        & op(e1,e4) != op(e4,e1) )
      | ( e3 != op(op(e1,e3),e1)
        & e1 = op(op(e1,e3),e3)
        & op(e1,e3) != op(e3,e1) )
      | ( e2 != op(op(e1,e2),e1)
        & e1 = op(op(e1,e2),e2)
        & op(e1,e2) != op(e2,e1) )
      | ( e1 != op(op(e1,e1),e1)
        & e1 = op(op(e1,e1),e1)
        & op(e1,e1) != op(e1,e1) )
      | ( e0 != op(op(e1,e0),e1)
        & e1 = op(op(e1,e0),e0)
        & op(e0,e1) != op(e1,e0) )
      | ( e4 != op(op(e0,e4),e0)
        & e0 = op(op(e0,e4),e4)
        & op(e0,e4) != op(e4,e0) )
      | ( e3 != op(op(e0,e3),e0)
        & e0 = op(op(e0,e3),e3)
        & op(e0,e3) != op(e3,e0) )
      | ( e2 != op(op(e0,e2),e0)
        & e0 = op(op(e0,e2),e2)
        & op(e0,e2) != op(e2,e0) )
      | ( e1 != op(op(e0,e1),e0)
        & e0 = op(op(e0,e1),e1)
        & op(e0,e1) != op(e1,e0) )
      | ( e0 != op(op(e0,e0),e0)
        & e0 = op(op(e0,e0),e0)
        & op(e0,e0) != op(e0,e0) ) )
    & ( e4 = op(e4,e4)
      | e4 = op(e3,e3)
      | e4 = op(e2,e2)
      | e4 = op(e1,e1)
      | op(e0,e0) = e4 )
    & ( e3 = op(e4,e4)
      | e3 = op(e3,e3)
      | e3 = op(e2,e2)
      | e3 = op(e1,e1)
      | op(e0,e0) = e3 )
    & ( e2 = op(e4,e4)
      | e2 = op(e3,e3)
      | e2 = op(e2,e2)
      | e2 = op(e1,e1)
      | op(e0,e0) = e2 )
    & ( e1 = op(e4,e4)
      | e1 = op(e3,e3)
      | e1 = op(e2,e2)
      | e1 = op(e1,e1)
      | op(e0,e0) = e1 )
    & ( e0 = op(e4,e4)
      | e0 = op(e3,e3)
      | e0 = op(e2,e2)
      | e0 = op(e1,e1)
      | e0 = op(e0,e0) ) ),
    inference(flattening,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ ~ ( ( ( e4 != op(op(e4,e4),e4)
            & e4 = op(op(e4,e4),e4)
            & op(e4,e4) != op(e4,e4) )
          | ( e3 != op(op(e4,e3),e4)
            & e4 = op(op(e4,e3),e3)
            & op(e3,e4) != op(e4,e3) )
          | ( e2 != op(op(e4,e2),e4)
            & e4 = op(op(e4,e2),e2)
            & op(e2,e4) != op(e4,e2) )
          | ( e1 != op(op(e4,e1),e4)
            & e4 = op(op(e4,e1),e1)
            & op(e1,e4) != op(e4,e1) )
          | ( e0 != op(op(e4,e0),e4)
            & e4 = op(op(e4,e0),e0)
            & op(e0,e4) != op(e4,e0) )
          | ( e4 != op(op(e3,e4),e3)
            & e3 = op(op(e3,e4),e4)
            & op(e3,e4) != op(e4,e3) )
          | ( e3 != op(op(e3,e3),e3)
            & e3 = op(op(e3,e3),e3)
            & op(e3,e3) != op(e3,e3) )
          | ( e2 != op(op(e3,e2),e3)
            & e3 = op(op(e3,e2),e2)
            & op(e2,e3) != op(e3,e2) )
          | ( e1 != op(op(e3,e1),e3)
            & e3 = op(op(e3,e1),e1)
            & op(e1,e3) != op(e3,e1) )
          | ( e0 != op(op(e3,e0),e3)
            & e3 = op(op(e3,e0),e0)
            & op(e0,e3) != op(e3,e0) )
          | ( e4 != op(op(e2,e4),e2)
            & e2 = op(op(e2,e4),e4)
            & op(e2,e4) != op(e4,e2) )
          | ( e3 != op(op(e2,e3),e2)
            & e2 = op(op(e2,e3),e3)
            & op(e2,e3) != op(e3,e2) )
          | ( e2 != op(op(e2,e2),e2)
            & e2 = op(op(e2,e2),e2)
            & op(e2,e2) != op(e2,e2) )
          | ( e1 != op(op(e2,e1),e2)
            & e2 = op(op(e2,e1),e1)
            & op(e1,e2) != op(e2,e1) )
          | ( e0 != op(op(e2,e0),e2)
            & e2 = op(op(e2,e0),e0)
            & op(e0,e2) != op(e2,e0) )
          | ( e4 != op(op(e1,e4),e1)
            & e1 = op(op(e1,e4),e4)
            & op(e1,e4) != op(e4,e1) )
          | ( e3 != op(op(e1,e3),e1)
            & e1 = op(op(e1,e3),e3)
            & op(e1,e3) != op(e3,e1) )
          | ( e2 != op(op(e1,e2),e1)
            & e1 = op(op(e1,e2),e2)
            & op(e1,e2) != op(e2,e1) )
          | ( e1 != op(op(e1,e1),e1)
            & e1 = op(op(e1,e1),e1)
            & op(e1,e1) != op(e1,e1) )
          | ( e0 != op(op(e1,e0),e1)
            & e1 = op(op(e1,e0),e0)
            & op(e0,e1) != op(e1,e0) )
          | ( e4 != op(op(e0,e4),e0)
            & e0 = op(op(e0,e4),e4)
            & op(e0,e4) != op(e4,e0) )
          | ( e3 != op(op(e0,e3),e0)
            & e0 = op(op(e0,e3),e3)
            & op(e0,e3) != op(e3,e0) )
          | ( e2 != op(op(e0,e2),e0)
            & e0 = op(op(e0,e2),e2)
            & op(e0,e2) != op(e2,e0) )
          | ( e1 != op(op(e0,e1),e0)
            & e0 = op(op(e0,e1),e1)
            & op(e0,e1) != op(e1,e0) )
          | ( e0 != op(op(e0,e0),e0)
            & e0 = op(op(e0,e0),e0)
            & op(e0,e0) != op(e0,e0) ) )
        & ( e4 = op(e4,e4)
          | e4 = op(e3,e3)
          | e4 = op(e2,e2)
          | e4 = op(e1,e1)
          | op(e0,e0) = e4 )
        & ( e3 = op(e4,e4)
          | e3 = op(e3,e3)
          | e3 = op(e2,e2)
          | e3 = op(e1,e1)
          | op(e0,e0) = e3 )
        & ( e2 = op(e4,e4)
          | e2 = op(e3,e3)
          | e2 = op(e2,e2)
          | e2 = op(e1,e1)
          | op(e0,e0) = e2 )
        & ( e1 = op(e4,e4)
          | e1 = op(e3,e3)
          | e1 = op(e2,e2)
          | e1 = op(e1,e1)
          | op(e0,e0) = e1 )
        & ( e0 = op(e4,e4)
          | e0 = op(e3,e3)
          | e0 = op(e2,e2)
          | e0 = op(e1,e1)
          | e0 = op(e0,e0) ) ),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    ~ ( ( ( e4 != op(op(e4,e4),e4)
          & e4 = op(op(e4,e4),e4)
          & op(e4,e4) != op(e4,e4) )
        | ( e3 != op(op(e4,e3),e4)
          & e4 = op(op(e4,e3),e3)
          & op(e3,e4) != op(e4,e3) )
        | ( e2 != op(op(e4,e2),e4)
          & e4 = op(op(e4,e2),e2)
          & op(e2,e4) != op(e4,e2) )
        | ( e1 != op(op(e4,e1),e4)
          & e4 = op(op(e4,e1),e1)
          & op(e1,e4) != op(e4,e1) )
        | ( e0 != op(op(e4,e0),e4)
          & e4 = op(op(e4,e0),e0)
          & op(e0,e4) != op(e4,e0) )
        | ( e4 != op(op(e3,e4),e3)
          & e3 = op(op(e3,e4),e4)
          & op(e3,e4) != op(e4,e3) )
        | ( e3 != op(op(e3,e3),e3)
          & e3 = op(op(e3,e3),e3)
          & op(e3,e3) != op(e3,e3) )
        | ( e2 != op(op(e3,e2),e3)
          & e3 = op(op(e3,e2),e2)
          & op(e2,e3) != op(e3,e2) )
        | ( e1 != op(op(e3,e1),e3)
          & e3 = op(op(e3,e1),e1)
          & op(e1,e3) != op(e3,e1) )
        | ( e0 != op(op(e3,e0),e3)
          & e3 = op(op(e3,e0),e0)
          & op(e0,e3) != op(e3,e0) )
        | ( e4 != op(op(e2,e4),e2)
          & e2 = op(op(e2,e4),e4)
          & op(e2,e4) != op(e4,e2) )
        | ( e3 != op(op(e2,e3),e2)
          & e2 = op(op(e2,e3),e3)
          & op(e2,e3) != op(e3,e2) )
        | ( e2 != op(op(e2,e2),e2)
          & e2 = op(op(e2,e2),e2)
          & op(e2,e2) != op(e2,e2) )
        | ( e1 != op(op(e2,e1),e2)
          & e2 = op(op(e2,e1),e1)
          & op(e1,e2) != op(e2,e1) )
        | ( e0 != op(op(e2,e0),e2)
          & e2 = op(op(e2,e0),e0)
          & op(e0,e2) != op(e2,e0) )
        | ( e4 != op(op(e1,e4),e1)
          & e1 = op(op(e1,e4),e4)
          & op(e1,e4) != op(e4,e1) )
        | ( e3 != op(op(e1,e3),e1)
          & e1 = op(op(e1,e3),e3)
          & op(e1,e3) != op(e3,e1) )
        | ( e2 != op(op(e1,e2),e1)
          & e1 = op(op(e1,e2),e2)
          & op(e1,e2) != op(e2,e1) )
        | ( e1 != op(op(e1,e1),e1)
          & e1 = op(op(e1,e1),e1)
          & op(e1,e1) != op(e1,e1) )
        | ( e0 != op(op(e1,e0),e1)
          & e1 = op(op(e1,e0),e0)
          & op(e0,e1) != op(e1,e0) )
        | ( e4 != op(op(e0,e4),e0)
          & e0 = op(op(e0,e4),e4)
          & op(e0,e4) != op(e4,e0) )
        | ( e3 != op(op(e0,e3),e0)
          & e0 = op(op(e0,e3),e3)
          & op(e0,e3) != op(e3,e0) )
        | ( e2 != op(op(e0,e2),e0)
          & e0 = op(op(e0,e2),e2)
          & op(e0,e2) != op(e2,e0) )
        | ( e1 != op(op(e0,e1),e0)
          & e0 = op(op(e0,e1),e1)
          & op(e0,e1) != op(e1,e0) )
        | ( e0 != op(op(e0,e0),e0)
          & e0 = op(op(e0,e0),e0)
          & op(e0,e0) != op(e0,e0) ) )
      & ( e4 = op(e4,e4)
        | e4 = op(e3,e3)
        | e4 = op(e2,e2)
        | e4 = op(e1,e1)
        | op(e0,e0) = e4 )
      & ( e3 = op(e4,e4)
        | e3 = op(e3,e3)
        | e3 = op(e2,e2)
        | e3 = op(e1,e1)
        | op(e0,e0) = e3 )
      & ( e2 = op(e4,e4)
        | e2 = op(e3,e3)
        | e2 = op(e2,e2)
        | e2 = op(e1,e1)
        | op(e0,e0) = e2 )
      & ( e1 = op(e4,e4)
        | e1 = op(e3,e3)
        | e1 = op(e2,e2)
        | e1 = op(e1,e1)
        | op(e0,e0) = e1 )
      & ( e0 = op(e4,e4)
        | e0 = op(e3,e3)
        | e0 = op(e2,e2)
        | e0 = op(e1,e1)
        | e0 = op(e0,e0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Nh4lU1j9zw/Vampire---4.8_14228',co1) ).

fof(f818,plain,
    ( spl24_95
    | spl24_96
    | spl24_97
    | spl24_98
    | spl24_99 ),
    inference(avatar_split_clause,[],[f132,f815,f811,f807,f803,f799]) ).

fof(f132,plain,
    ( e1 = op(e4,e4)
    | e1 = op(e3,e3)
    | e1 = op(e2,e2)
    | e1 = op(e1,e1)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f734,plain,
    ( spl24_77
    | spl24_74
    | spl24_71
    | spl24_68
    | spl24_65
    | spl24_61
    | spl24_59
    | spl24_56
    | spl24_53
    | spl24_50
    | spl24_46
    | spl24_42
    | spl24_40
    | spl24_37
    | spl24_34
    | spl24_30
    | spl24_26
    | spl24_22
    | spl24_20
    | spl24_17
    | spl24_13
    | spl24_9
    | spl24_5
    | spl24_1 ),
    inference(avatar_split_clause,[],[f339,f345,f364,f383,f402,f421,f436,f447,f466,f485,f504,f519,f534,f545,f564,f583,f598,f613,f628,f639,f658,f673,f688,f703,f718]) ).

fof(f718,plain,
    ( spl24_77
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_77])]) ).

fof(f703,plain,
    ( spl24_74
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_74])]) ).

fof(f688,plain,
    ( spl24_71
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_71])]) ).

fof(f673,plain,
    ( spl24_68
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_68])]) ).

fof(f658,plain,
    ( spl24_65
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_65])]) ).

fof(f639,plain,
    ( spl24_61
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_61])]) ).

fof(f628,plain,
    ( spl24_59
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_59])]) ).

fof(f613,plain,
    ( spl24_56
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_56])]) ).

fof(f598,plain,
    ( spl24_53
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_53])]) ).

fof(f583,plain,
    ( spl24_50
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_50])]) ).

fof(f564,plain,
    ( spl24_46
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_46])]) ).

fof(f545,plain,
    ( spl24_42
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_42])]) ).

fof(f534,plain,
    ( spl24_40
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_40])]) ).

fof(f519,plain,
    ( spl24_37
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_37])]) ).

fof(f504,plain,
    ( spl24_34
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_34])]) ).

fof(f485,plain,
    ( spl24_30
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_30])]) ).

fof(f466,plain,
    ( spl24_26
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_26])]) ).

fof(f447,plain,
    ( spl24_22
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_22])]) ).

fof(f436,plain,
    ( spl24_20
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_20])]) ).

fof(f421,plain,
    ( spl24_17
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_17])]) ).

fof(f402,plain,
    ( spl24_13
  <=> sP20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_13])]) ).

fof(f383,plain,
    ( spl24_9
  <=> sP21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_9])]) ).

fof(f364,plain,
    ( spl24_5
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_5])]) ).

fof(f345,plain,
    ( spl24_1
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).

fof(f339,plain,
    ( sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(trivial_inequality_removal,[],[f136]) ).

fof(f136,plain,
    ( op(e4,e4) != op(e4,e4)
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f727,plain,
    ~ spl24_77,
    inference(avatar_split_clause,[],[f340,f718]) ).

fof(f340,plain,
    ~ sP0,
    inference(trivial_inequality_removal,[],[f128]) ).

fof(f128,plain,
    ( op(e0,e0) != op(e0,e0)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ( ( e0 != op(op(e0,e0),e0)
      & e0 = op(op(e0,e0),e0)
      & op(e0,e0) != op(e0,e0) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f10]) ).

fof(f716,plain,
    ( ~ spl24_74
    | ~ spl24_64 ),
    inference(avatar_split_clause,[],[f125,f653,f703]) ).

fof(f125,plain,
    ( op(e0,e1) != op(e1,e0)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ( ( e1 != op(op(e0,e1),e0)
      & e0 = op(op(e0,e1),e1)
      & op(e0,e1) != op(e1,e0) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f11]) ).

fof(f701,plain,
    ( ~ spl24_71
    | ~ spl24_49 ),
    inference(avatar_split_clause,[],[f122,f578,f688]) ).

fof(f122,plain,
    ( op(e0,e2) != op(e2,e0)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ( ( e2 != op(op(e0,e2),e0)
      & e0 = op(op(e0,e2),e2)
      & op(e0,e2) != op(e2,e0) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f12]) ).

fof(f686,plain,
    ( ~ spl24_68
    | ~ spl24_33 ),
    inference(avatar_split_clause,[],[f119,f499,f673]) ).

fof(f119,plain,
    ( op(e0,e3) != op(e3,e0)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ( ( e3 != op(op(e0,e3),e0)
      & e0 = op(op(e0,e3),e3)
      & op(e0,e3) != op(e3,e0) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f13]) ).

fof(f671,plain,
    ( ~ spl24_65
    | ~ spl24_16 ),
    inference(avatar_split_clause,[],[f116,f416,f658]) ).

fof(f116,plain,
    ( op(e0,e4) != op(e4,e0)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ( ( e4 != op(op(e0,e4),e0)
      & e0 = op(op(e0,e4),e4)
      & op(e0,e4) != op(e4,e0) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f14]) ).

fof(f656,plain,
    ( ~ spl24_61
    | ~ spl24_64 ),
    inference(avatar_split_clause,[],[f113,f653,f639]) ).

fof(f113,plain,
    ( op(e0,e1) != op(e1,e0)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( ( e0 != op(op(e1,e0),e1)
      & e1 = op(op(e1,e0),e0)
      & op(e0,e1) != op(e1,e0) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f15]) ).

fof(f637,plain,
    ~ spl24_59,
    inference(avatar_split_clause,[],[f341,f628]) ).

fof(f341,plain,
    ~ sP6,
    inference(trivial_inequality_removal,[],[f110]) ).

fof(f110,plain,
    ( op(e1,e1) != op(e1,e1)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( ( e1 != op(op(e1,e1),e1)
      & e1 = op(op(e1,e1),e1)
      & op(e1,e1) != op(e1,e1) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f16]) ).

fof(f625,plain,
    ( ~ spl24_56
    | spl24_58 ),
    inference(avatar_split_clause,[],[f108,f622,f613]) ).

fof(f108,plain,
    ( e1 = op(op(e1,e2),e2)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ( ( e2 != op(op(e1,e2),e1)
      & e1 = op(op(e1,e2),e2)
      & op(e1,e2) != op(e2,e1) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f17]) ).

fof(f610,plain,
    ( ~ spl24_53
    | spl24_55 ),
    inference(avatar_split_clause,[],[f105,f607,f598]) ).

fof(f105,plain,
    ( e1 = op(op(e1,e3),e3)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( ( e3 != op(op(e1,e3),e1)
      & e1 = op(op(e1,e3),e3)
      & op(e1,e3) != op(e3,e1) )
    | ~ sP8 ),
    inference(nnf_transformation,[],[f18]) ).

fof(f596,plain,
    ( ~ spl24_50
    | ~ spl24_12 ),
    inference(avatar_split_clause,[],[f101,f397,f583]) ).

fof(f101,plain,
    ( op(e1,e4) != op(e4,e1)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( ( e4 != op(op(e1,e4),e1)
      & e1 = op(op(e1,e4),e4)
      & op(e1,e4) != op(e4,e1) )
    | ~ sP9 ),
    inference(nnf_transformation,[],[f19]) ).

fof(f581,plain,
    ( ~ spl24_46
    | ~ spl24_49 ),
    inference(avatar_split_clause,[],[f98,f578,f564]) ).

fof(f98,plain,
    ( op(e0,e2) != op(e2,e0)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ( ( e0 != op(op(e2,e0),e2)
      & e2 = op(op(e2,e0),e0)
      & op(e0,e2) != op(e2,e0) )
    | ~ sP10 ),
    inference(nnf_transformation,[],[f20]) ).

fof(f562,plain,
    ( ~ spl24_42
    | ~ spl24_45 ),
    inference(avatar_split_clause,[],[f95,f559,f545]) ).

fof(f95,plain,
    ( op(e1,e2) != op(e2,e1)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ( ( e1 != op(op(e2,e1),e2)
      & e2 = op(op(e2,e1),e1)
      & op(e1,e2) != op(e2,e1) )
    | ~ sP11 ),
    inference(nnf_transformation,[],[f21]) ).

fof(f543,plain,
    ~ spl24_40,
    inference(avatar_split_clause,[],[f342,f534]) ).

fof(f342,plain,
    ~ sP12,
    inference(trivial_inequality_removal,[],[f92]) ).

fof(f92,plain,
    ( op(e2,e2) != op(e2,e2)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ( ( e2 != op(op(e2,e2),e2)
      & e2 = op(op(e2,e2),e2)
      & op(e2,e2) != op(e2,e2) )
    | ~ sP12 ),
    inference(nnf_transformation,[],[f22]) ).

fof(f532,plain,
    ( ~ spl24_37
    | ~ spl24_25 ),
    inference(avatar_split_clause,[],[f89,f461,f519]) ).

fof(f89,plain,
    ( op(e2,e3) != op(e3,e2)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ( ( e3 != op(op(e2,e3),e2)
      & e2 = op(op(e2,e3),e3)
      & op(e2,e3) != op(e3,e2) )
    | ~ sP13 ),
    inference(nnf_transformation,[],[f23]) ).

fof(f517,plain,
    ( ~ spl24_34
    | ~ spl24_8 ),
    inference(avatar_split_clause,[],[f86,f378,f504]) ).

fof(f86,plain,
    ( op(e2,e4) != op(e4,e2)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( ( e4 != op(op(e2,e4),e2)
      & e2 = op(op(e2,e4),e4)
      & op(e2,e4) != op(e4,e2) )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f24]) ).

fof(f502,plain,
    ( ~ spl24_30
    | ~ spl24_33 ),
    inference(avatar_split_clause,[],[f83,f499,f485]) ).

fof(f83,plain,
    ( op(e0,e3) != op(e3,e0)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( ( e0 != op(op(e3,e0),e3)
      & e3 = op(op(e3,e0),e0)
      & op(e0,e3) != op(e3,e0) )
    | ~ sP15 ),
    inference(nnf_transformation,[],[f25]) ).

fof(f483,plain,
    ( ~ spl24_26
    | ~ spl24_29 ),
    inference(avatar_split_clause,[],[f80,f480,f466]) ).

fof(f80,plain,
    ( op(e1,e3) != op(e3,e1)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ( ( e1 != op(op(e3,e1),e3)
      & e3 = op(op(e3,e1),e1)
      & op(e1,e3) != op(e3,e1) )
    | ~ sP16 ),
    inference(nnf_transformation,[],[f26]) ).

fof(f464,plain,
    ( ~ spl24_22
    | ~ spl24_25 ),
    inference(avatar_split_clause,[],[f77,f461,f447]) ).

fof(f77,plain,
    ( op(e2,e3) != op(e3,e2)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ( ( e2 != op(op(e3,e2),e3)
      & e3 = op(op(e3,e2),e2)
      & op(e2,e3) != op(e3,e2) )
    | ~ sP17 ),
    inference(nnf_transformation,[],[f27]) ).

fof(f445,plain,
    ~ spl24_20,
    inference(avatar_split_clause,[],[f343,f436]) ).

fof(f343,plain,
    ~ sP18,
    inference(trivial_inequality_removal,[],[f74]) ).

fof(f74,plain,
    ( op(e3,e3) != op(e3,e3)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ( ( e3 != op(op(e3,e3),e3)
      & e3 = op(op(e3,e3),e3)
      & op(e3,e3) != op(e3,e3) )
    | ~ sP18 ),
    inference(nnf_transformation,[],[f28]) ).

fof(f434,plain,
    ( ~ spl24_17
    | ~ spl24_4 ),
    inference(avatar_split_clause,[],[f71,f359,f421]) ).

fof(f71,plain,
    ( op(e3,e4) != op(e4,e3)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( ( e4 != op(op(e3,e4),e3)
      & e3 = op(op(e3,e4),e4)
      & op(e3,e4) != op(e4,e3) )
    | ~ sP19 ),
    inference(nnf_transformation,[],[f29]) ).

fof(f419,plain,
    ( ~ spl24_13
    | ~ spl24_16 ),
    inference(avatar_split_clause,[],[f68,f416,f402]) ).

fof(f68,plain,
    ( op(e0,e4) != op(e4,e0)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( ( e0 != op(op(e4,e0),e4)
      & e4 = op(op(e4,e0),e0)
      & op(e0,e4) != op(e4,e0) )
    | ~ sP20 ),
    inference(nnf_transformation,[],[f30]) ).

fof(f395,plain,
    ( ~ spl24_9
    | spl24_11 ),
    inference(avatar_split_clause,[],[f66,f392,f383]) ).

fof(f66,plain,
    ( e4 = op(op(e4,e1),e1)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( ( e1 != op(op(e4,e1),e4)
      & e4 = op(op(e4,e1),e1)
      & op(e1,e4) != op(e4,e1) )
    | ~ sP21 ),
    inference(nnf_transformation,[],[f31]) ).

fof(f381,plain,
    ( ~ spl24_5
    | ~ spl24_8 ),
    inference(avatar_split_clause,[],[f62,f378,f364]) ).

fof(f62,plain,
    ( op(e2,e4) != op(e4,e2)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( ( e2 != op(op(e4,e2),e4)
      & e4 = op(op(e4,e2),e2)
      & op(e2,e4) != op(e4,e2) )
    | ~ sP22 ),
    inference(nnf_transformation,[],[f32]) ).

fof(f362,plain,
    ( ~ spl24_1
    | ~ spl24_4 ),
    inference(avatar_split_clause,[],[f59,f359,f345]) ).

fof(f59,plain,
    ( op(e3,e4) != op(e4,e3)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ( ( e3 != op(op(e4,e3),e4)
      & e4 = op(op(e4,e3),e3)
      & op(e3,e4) != op(e4,e3) )
    | ~ sP23 ),
    inference(nnf_transformation,[],[f33]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ALG064+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.15  % 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
% 0.16/0.36  % Computer : n015.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 19:58:08 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_PEQ problem
% 0.16/0.36  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.Nh4lU1j9zw/Vampire---4.8_14228
% 0.54/0.75  % (14489)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 (2996ds/34Mi)
% 0.54/0.76  % (14491)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.76  % (14492)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.76  % (14493)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 (2996ds/34Mi)
% 0.54/0.76  % (14490)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 (2996ds/51Mi)
% 0.54/0.76  % (14494)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.54/0.76  % (14495)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 (2996ds/83Mi)
% 0.54/0.76  % (14496)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 (2996ds/56Mi)
% 0.60/0.76  % (14489)Refutation not found, incomplete strategy% (14489)------------------------------
% 0.60/0.76  % (14489)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (14489)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (14489)Memory used [KB]: 1526
% 0.60/0.76  % (14489)Time elapsed: 0.009 s
% 0.60/0.76  % (14489)Instructions burned: 27 (million)
% 0.60/0.76  % (14489)------------------------------
% 0.60/0.76  % (14489)------------------------------
% 0.60/0.76  % (14496)Refutation not found, incomplete strategy% (14496)------------------------------
% 0.60/0.76  % (14496)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (14496)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (14496)Memory used [KB]: 1224
% 0.60/0.76  % (14496)Time elapsed: 0.009 s
% 0.60/0.76  % (14496)Instructions burned: 17 (million)
% 0.60/0.76  % (14494)Refutation not found, incomplete strategy% (14494)------------------------------
% 0.60/0.76  % (14494)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (14493)Refutation not found, incomplete strategy% (14493)------------------------------
% 0.60/0.76  % (14493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (14494)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (14494)Memory used [KB]: 1219
% 0.60/0.76  % (14494)Time elapsed: 0.010 s
% 0.60/0.76  % (14494)Instructions burned: 17 (million)
% 0.60/0.76  % (14493)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (14493)Memory used [KB]: 1288
% 0.60/0.76  % (14493)Time elapsed: 0.010 s
% 0.60/0.76  % (14496)------------------------------
% 0.60/0.76  % (14496)------------------------------
% 0.60/0.76  % (14493)Instructions burned: 18 (million)
% 0.60/0.76  % (14494)------------------------------
% 0.60/0.76  % (14494)------------------------------
% 0.60/0.76  % (14493)------------------------------
% 0.60/0.76  % (14493)------------------------------
% 0.60/0.77  % (14497)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 (2996ds/55Mi)
% 0.60/0.77  % (14499)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 (2996ds/208Mi)
% 0.60/0.77  % (14500)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 (2996ds/52Mi)
% 0.60/0.77  % (14498)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 (2996ds/50Mi)
% 0.60/0.77  % (14492)Instruction limit reached!
% 0.60/0.77  % (14492)------------------------------
% 0.60/0.77  % (14492)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (14492)Termination reason: Unknown
% 0.60/0.77  % (14492)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (14492)Memory used [KB]: 1721
% 0.60/0.77  % (14492)Time elapsed: 0.019 s
% 0.60/0.77  % (14492)Instructions burned: 33 (million)
% 0.60/0.77  % (14492)------------------------------
% 0.60/0.77  % (14492)------------------------------
% 0.60/0.78  % (14501)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)
% 0.60/0.78  % (14490)Instruction limit reached!
% 0.60/0.78  % (14490)------------------------------
% 0.60/0.78  % (14490)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (14490)Termination reason: Unknown
% 0.60/0.78  % (14490)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (14490)Memory used [KB]: 2213
% 0.60/0.78  % (14490)Time elapsed: 0.028 s
% 0.60/0.78  % (14490)Instructions burned: 51 (million)
% 0.60/0.78  % (14490)------------------------------
% 0.60/0.78  % (14490)------------------------------
% 0.60/0.79  % (14502)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)
% 0.60/0.79  % (14491)First to succeed.
% 0.60/0.79  % (14501)Refutation not found, incomplete strategy% (14501)------------------------------
% 0.60/0.79  % (14501)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (14501)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (14497)Instruction limit reached!
% 0.60/0.79  % (14497)------------------------------
% 0.60/0.79  % (14497)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (14497)Termination reason: Unknown
% 0.60/0.79  % (14497)Termination phase: Clausification
% 0.60/0.79  
% 0.60/0.79  % (14497)Memory used [KB]: 28337
% 0.60/0.79  % (14497)Time elapsed: 0.026 s
% 0.60/0.79  % (14497)Instructions burned: 56 (million)
% 0.60/0.79  % (14497)------------------------------
% 0.60/0.79  % (14497)------------------------------
% 0.60/0.79  % (14501)Memory used [KB]: 1273
% 0.60/0.79  % (14501)Time elapsed: 0.011 s
% 0.60/0.79  % (14501)Instructions burned: 20 (million)
% 0.60/0.79  % (14501)------------------------------
% 0.60/0.79  % (14501)------------------------------
% 0.60/0.79  % (14498)Instruction limit reached!
% 0.60/0.79  % (14498)------------------------------
% 0.60/0.79  % (14498)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (14498)Termination reason: Unknown
% 0.60/0.79  % (14498)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (14498)Memory used [KB]: 1969
% 0.60/0.79  % (14498)Time elapsed: 0.024 s
% 0.60/0.79  % (14498)Instructions burned: 50 (million)
% 0.60/0.79  % (14498)------------------------------
% 0.60/0.79  % (14498)------------------------------
% 0.60/0.79  % (14500)Instruction limit reached!
% 0.60/0.79  % (14500)------------------------------
% 0.60/0.79  % (14500)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (14500)Termination reason: Unknown
% 0.60/0.79  % (14500)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (14500)Memory used [KB]: 1765
% 0.60/0.79  % (14500)Time elapsed: 0.027 s
% 0.60/0.79  % (14500)Instructions burned: 52 (million)
% 0.60/0.79  % (14500)------------------------------
% 0.60/0.79  % (14500)------------------------------
% 0.60/0.80  % (14503)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.79/0.80  % (14505)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.79/0.80  % (14504)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.79/0.80  % (14495)Instruction limit reached!
% 0.79/0.80  % (14495)------------------------------
% 0.79/0.80  % (14495)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.80  % (14495)Termination reason: Unknown
% 0.79/0.80  % (14495)Termination phase: Saturation
% 0.79/0.80  
% 0.79/0.80  % (14495)Memory used [KB]: 2093
% 0.79/0.80  % (14495)Time elapsed: 0.044 s
% 0.79/0.80  % (14495)Instructions burned: 84 (million)
% 0.79/0.80  % (14495)------------------------------
% 0.79/0.80  % (14495)------------------------------
% 0.79/0.80  % (14491)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14478"
% 0.79/0.80  % (14491)Refutation found. Thanks to Tanya!
% 0.79/0.80  % SZS status Theorem for Vampire---4
% 0.79/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.79/0.80  % (14491)------------------------------
% 0.79/0.80  % (14491)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.80  % (14491)Termination reason: Refutation
% 0.79/0.80  
% 0.79/0.80  % (14491)Memory used [KB]: 1842
% 0.79/0.80  % (14491)Time elapsed: 0.044 s
% 0.79/0.80  % (14491)Instructions burned: 84 (million)
% 0.79/0.80  % (14478)Success in time 0.426 s
% 0.79/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------