TSTP Solution File: ALG095+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG095+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 : n025.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 04:11:01 EDT 2024

% Result   : Theorem 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :  158
% Syntax   : Number of formulae    :  807 ( 196 unt;   0 def)
%            Number of atoms       : 5429 (2715 equ)
%            Maximal formula atoms :  465 (   6 avg)
%            Number of connectives : 6930 (2308   ~;3259   |;1285   &)
%                                         (  78 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  115 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :  156 ( 154 usr; 155 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1698,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1158,f1537,f1543,f1545,f1547,f1549,f1551,f1553,f1555,f1557,f1559,f1561,f1563,f1565,f1567,f1569,f1571,f1573,f1575,f1577,f1579,f1581,f1583,f1585,f1587,f1589,f1591,f1593,f1595,f1597,f1599,f1601,f1603,f1605,f1607,f1609,f1611,f1613,f1615,f1617,f1619,f1621,f1623,f1625,f1627,f1629,f1631,f1633,f1635,f1637,f1639,f1641,f1643,f1645,f1647,f1649,f1651,f1653,f1655,f1657,f1659,f1661,f1663,f1665,f1667,f1669,f1671,f1673,f1675,f1677,f1679,f1681,f1683,f1685,f1687,f1689,f1691,f1693,f1697]) ).

fof(f1697,plain,
    ~ spl76_2,
    inference(avatar_contradiction_clause,[],[f1696]) ).

fof(f1696,plain,
    ( $false
    | ~ spl76_2 ),
    inference(trivial_inequality_removal,[],[f1695]) ).

fof(f1695,plain,
    ( e1 != e1
    | ~ spl76_2 ),
    inference(superposition,[],[f164,f1153]) ).

fof(f1153,plain,
    ( e1 = e2
    | ~ spl76_2 ),
    inference(avatar_component_clause,[],[f1151]) ).

fof(f1151,plain,
    ( spl76_2
  <=> e1 = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_2])]) ).

fof(f164,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( e3 != e4
    & e2 != e4
    & e2 != e3
    & e1 != e4
    & e1 != e3
    & e1 != e2
    & e0 != e4
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    file('/export/starexec/sandbox/tmp/tmp.L4op0ygCmH/Vampire---4.8_6725',ax1) ).

fof(f1693,plain,
    ~ spl76_80,
    inference(avatar_contradiction_clause,[],[f1692]) ).

fof(f1692,plain,
    ( $false
    | ~ spl76_80 ),
    inference(resolution,[],[f1536,f826]) ).

fof(f826,plain,
    ~ sP75,
    inference(trivial_inequality_removal,[],[f825]) ).

fof(f825,plain,
    ( e4 != e4
    | ~ sP75 ),
    inference(forward_demodulation,[],[f618,f606]) ).

fof(f606,plain,
    e4 = op(e4,unit),
    inference(definition_unfolding,[],[f190,f195]) ).

fof(f195,plain,
    e0 = unit,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    e0 = unit,
    file('/export/starexec/sandbox/tmp/tmp.L4op0ygCmH/Vampire---4.8_6725',ax3) ).

fof(f190,plain,
    e4 = op(e4,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( e0 = op(e4,e4)
    & e2 = op(e4,e3)
    & e1 = op(e4,e2)
    & e3 = op(e4,e1)
    & e4 = op(e4,e0)
    & e2 = op(e3,e4)
    & e1 = op(e3,e3)
    & e0 = op(e3,e2)
    & e4 = op(e3,e1)
    & e3 = op(e3,e0)
    & e1 = op(e2,e4)
    & e4 = op(e2,e3)
    & e3 = op(e2,e2)
    & e0 = op(e2,e1)
    & e2 = op(e2,e0)
    & e3 = op(e1,e4)
    & e0 = op(e1,e3)
    & e4 = op(e1,e2)
    & e2 = op(e1,e1)
    & e1 = op(e1,e0)
    & e4 = op(e0,e4)
    & e3 = op(e0,e3)
    & e2 = op(e0,e2)
    & e1 = op(e0,e1)
    & e0 = op(e0,e0) ),
    file('/export/starexec/sandbox/tmp/tmp.L4op0ygCmH/Vampire---4.8_6725',ax2) ).

fof(f618,plain,
    ( e4 != op(e4,unit)
    | ~ sP75 ),
    inference(definition_unfolding,[],[f196,f195]) ).

fof(f196,plain,
    ( e4 != op(e4,e0)
    | ~ sP75 ),
    inference(cnf_transformation,[],[f84]) ).

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

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

fof(f1536,plain,
    ( sP75
    | ~ spl76_80 ),
    inference(avatar_component_clause,[],[f1534]) ).

fof(f1534,plain,
    ( spl76_80
  <=> sP75 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_80])]) ).

fof(f1691,plain,
    ~ spl76_79,
    inference(avatar_contradiction_clause,[],[f1690]) ).

fof(f1690,plain,
    ( $false
    | ~ spl76_79 ),
    inference(resolution,[],[f1532,f831]) ).

fof(f831,plain,
    ~ sP74,
    inference(trivial_inequality_removal,[],[f830]) ).

fof(f830,plain,
    ( e3 != e3
    | ~ sP74 ),
    inference(forward_demodulation,[],[f202,f179]) ).

fof(f179,plain,
    e3 = op(e1,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f202,plain,
    ( e3 != op(e1,e4)
    | ~ sP74 ),
    inference(cnf_transformation,[],[f85]) ).

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

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

fof(f1532,plain,
    ( sP74
    | ~ spl76_79 ),
    inference(avatar_component_clause,[],[f1530]) ).

fof(f1530,plain,
    ( spl76_79
  <=> sP74 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_79])]) ).

fof(f1689,plain,
    ~ spl76_78,
    inference(avatar_contradiction_clause,[],[f1688]) ).

fof(f1688,plain,
    ( $false
    | ~ spl76_78 ),
    inference(resolution,[],[f1528,f836]) ).

fof(f836,plain,
    ~ sP73,
    inference(trivial_inequality_removal,[],[f835]) ).

fof(f835,plain,
    ( e3 != e3
    | ~ sP73 ),
    inference(forward_demodulation,[],[f207,f191]) ).

fof(f191,plain,
    e3 = op(e4,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f207,plain,
    ( e3 != op(e4,e1)
    | ~ sP73 ),
    inference(cnf_transformation,[],[f86]) ).

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

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

fof(f1528,plain,
    ( sP73
    | ~ spl76_78 ),
    inference(avatar_component_clause,[],[f1526]) ).

fof(f1526,plain,
    ( spl76_78
  <=> sP73 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_78])]) ).

fof(f1687,plain,
    ~ spl76_77,
    inference(avatar_contradiction_clause,[],[f1686]) ).

fof(f1686,plain,
    ( $false
    | ~ spl76_77 ),
    inference(resolution,[],[f1524,f839]) ).

fof(f839,plain,
    ~ sP72,
    inference(trivial_inequality_removal,[],[f838]) ).

fof(f838,plain,
    ( e2 != e2
    | ~ sP72 ),
    inference(forward_demodulation,[],[f214,f189]) ).

fof(f189,plain,
    e2 = op(e3,e4),
    inference(cnf_transformation,[],[f2]) ).

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

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

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

fof(f1524,plain,
    ( sP72
    | ~ spl76_77 ),
    inference(avatar_component_clause,[],[f1522]) ).

fof(f1522,plain,
    ( spl76_77
  <=> sP72 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_77])]) ).

fof(f1685,plain,
    ~ spl76_76,
    inference(avatar_contradiction_clause,[],[f1684]) ).

fof(f1684,plain,
    ( $false
    | ~ spl76_76 ),
    inference(resolution,[],[f1520,f842]) ).

fof(f842,plain,
    ~ sP71,
    inference(trivial_inequality_removal,[],[f841]) ).

fof(f841,plain,
    ( e2 != e2
    | ~ sP71 ),
    inference(forward_demodulation,[],[f219,f193]) ).

fof(f193,plain,
    e2 = op(e4,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f219,plain,
    ( e2 != op(e4,e3)
    | ~ sP71 ),
    inference(cnf_transformation,[],[f88]) ).

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

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

fof(f1520,plain,
    ( sP71
    | ~ spl76_76 ),
    inference(avatar_component_clause,[],[f1518]) ).

fof(f1518,plain,
    ( spl76_76
  <=> sP71 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_76])]) ).

fof(f1683,plain,
    ~ spl76_75,
    inference(avatar_contradiction_clause,[],[f1682]) ).

fof(f1682,plain,
    ( $false
    | ~ spl76_75 ),
    inference(resolution,[],[f1516,f846]) ).

fof(f846,plain,
    ~ sP70,
    inference(trivial_inequality_removal,[],[f845]) ).

fof(f845,plain,
    ( e1 != e1
    | ~ sP70 ),
    inference(forward_demodulation,[],[f223,f184]) ).

fof(f184,plain,
    e1 = op(e2,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f223,plain,
    ( e1 != op(e2,e4)
    | ~ sP70 ),
    inference(cnf_transformation,[],[f89]) ).

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

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

fof(f1516,plain,
    ( sP70
    | ~ spl76_75 ),
    inference(avatar_component_clause,[],[f1514]) ).

fof(f1514,plain,
    ( spl76_75
  <=> sP70 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_75])]) ).

fof(f1681,plain,
    ~ spl76_74,
    inference(avatar_contradiction_clause,[],[f1680]) ).

fof(f1680,plain,
    ( $false
    | ~ spl76_74 ),
    inference(resolution,[],[f1512,f850]) ).

fof(f850,plain,
    ~ sP69,
    inference(trivial_inequality_removal,[],[f849]) ).

fof(f849,plain,
    ( e1 != e1
    | ~ sP69 ),
    inference(forward_demodulation,[],[f228,f192]) ).

fof(f192,plain,
    e1 = op(e4,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f228,plain,
    ( e1 != op(e4,e2)
    | ~ sP69 ),
    inference(cnf_transformation,[],[f90]) ).

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

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

fof(f1512,plain,
    ( sP69
    | ~ spl76_74 ),
    inference(avatar_component_clause,[],[f1510]) ).

fof(f1510,plain,
    ( spl76_74
  <=> sP69 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_74])]) ).

fof(f1679,plain,
    ~ spl76_73,
    inference(avatar_contradiction_clause,[],[f1678]) ).

fof(f1678,plain,
    ( $false
    | ~ spl76_73 ),
    inference(resolution,[],[f1508,f852]) ).

fof(f852,plain,
    ~ sP68,
    inference(trivial_inequality_removal,[],[f851]) ).

fof(f851,plain,
    ( unit != unit
    | ~ sP68 ),
    inference(forward_demodulation,[],[f625,f605]) ).

fof(f605,plain,
    op(e4,e4) = unit,
    inference(definition_unfolding,[],[f194,f195]) ).

fof(f194,plain,
    e0 = op(e4,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f625,plain,
    ( op(e4,e4) != unit
    | ~ sP68 ),
    inference(definition_unfolding,[],[f235,f195]) ).

fof(f235,plain,
    ( e0 != op(e4,e4)
    | ~ sP68 ),
    inference(cnf_transformation,[],[f91]) ).

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

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

fof(f1508,plain,
    ( sP68
    | ~ spl76_73 ),
    inference(avatar_component_clause,[],[f1506]) ).

fof(f1506,plain,
    ( spl76_73
  <=> sP68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_73])]) ).

fof(f1677,plain,
    ~ spl76_72,
    inference(avatar_contradiction_clause,[],[f1676]) ).

fof(f1676,plain,
    ( $false
    | ~ spl76_72 ),
    inference(resolution,[],[f1504,f854]) ).

fof(f854,plain,
    ~ sP67,
    inference(trivial_inequality_removal,[],[f853]) ).

fof(f853,plain,
    ( unit != unit
    | ~ sP67 ),
    inference(forward_demodulation,[],[f630,f605]) ).

fof(f630,plain,
    ( op(e4,e4) != unit
    | ~ sP67 ),
    inference(definition_unfolding,[],[f240,f195]) ).

fof(f240,plain,
    ( e0 != op(e4,e4)
    | ~ sP67 ),
    inference(cnf_transformation,[],[f92]) ).

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

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

fof(f1504,plain,
    ( sP67
    | ~ spl76_72 ),
    inference(avatar_component_clause,[],[f1502]) ).

fof(f1502,plain,
    ( spl76_72
  <=> sP67 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_72])]) ).

fof(f1675,plain,
    ~ spl76_71,
    inference(avatar_contradiction_clause,[],[f1674]) ).

fof(f1674,plain,
    ( $false
    | ~ spl76_71 ),
    inference(resolution,[],[f1500,f858]) ).

fof(f858,plain,
    ~ sP66,
    inference(trivial_inequality_removal,[],[f857]) ).

fof(f857,plain,
    ( e4 != e4
    | ~ sP66 ),
    inference(forward_demodulation,[],[f243,f183]) ).

fof(f183,plain,
    e4 = op(e2,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f243,plain,
    ( e4 != op(e2,e3)
    | ~ sP66 ),
    inference(cnf_transformation,[],[f93]) ).

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

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

fof(f1500,plain,
    ( sP66
    | ~ spl76_71 ),
    inference(avatar_component_clause,[],[f1498]) ).

fof(f1498,plain,
    ( spl76_71
  <=> sP66 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_71])]) ).

fof(f1673,plain,
    ~ spl76_70,
    inference(avatar_contradiction_clause,[],[f1672]) ).

fof(f1672,plain,
    ( $false
    | ~ spl76_70 ),
    inference(resolution,[],[f1496,f863]) ).

fof(f863,plain,
    ~ sP65,
    inference(trivial_inequality_removal,[],[f862]) ).

fof(f862,plain,
    ( e4 != e4
    | ~ sP65 ),
    inference(forward_demodulation,[],[f247,f186]) ).

fof(f186,plain,
    e4 = op(e3,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f247,plain,
    ( e4 != op(e3,e1)
    | ~ sP65 ),
    inference(cnf_transformation,[],[f94]) ).

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

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

fof(f1496,plain,
    ( sP65
    | ~ spl76_70 ),
    inference(avatar_component_clause,[],[f1494]) ).

fof(f1494,plain,
    ( spl76_70
  <=> sP65 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_70])]) ).

fof(f1671,plain,
    ~ spl76_69,
    inference(avatar_contradiction_clause,[],[f1670]) ).

fof(f1670,plain,
    ( $false
    | ~ spl76_69 ),
    inference(resolution,[],[f1492,f869]) ).

fof(f869,plain,
    ~ sP64,
    inference(trivial_inequality_removal,[],[f868]) ).

fof(f868,plain,
    ( e3 != e3
    | ~ sP64 ),
    inference(forward_demodulation,[],[f637,f614]) ).

fof(f614,plain,
    e3 = op(unit,e3),
    inference(definition_unfolding,[],[f173,f195]) ).

fof(f173,plain,
    e3 = op(e0,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f637,plain,
    ( e3 != op(unit,e3)
    | ~ sP64 ),
    inference(definition_unfolding,[],[f251,f195]) ).

fof(f251,plain,
    ( e3 != op(e0,e3)
    | ~ sP64 ),
    inference(cnf_transformation,[],[f95]) ).

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

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

fof(f1492,plain,
    ( sP64
    | ~ spl76_69 ),
    inference(avatar_component_clause,[],[f1490]) ).

fof(f1490,plain,
    ( spl76_69
  <=> sP64 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_69])]) ).

fof(f1669,plain,
    ~ spl76_68,
    inference(avatar_contradiction_clause,[],[f1668]) ).

fof(f1668,plain,
    ( $false
    | ~ spl76_68 ),
    inference(resolution,[],[f1488,f875]) ).

fof(f875,plain,
    ~ sP63,
    inference(trivial_inequality_removal,[],[f874]) ).

fof(f874,plain,
    ( e3 != e3
    | ~ sP63 ),
    inference(forward_demodulation,[],[f638,f608]) ).

fof(f608,plain,
    e3 = op(e3,unit),
    inference(definition_unfolding,[],[f185,f195]) ).

fof(f185,plain,
    e3 = op(e3,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f638,plain,
    ( e3 != op(e3,unit)
    | ~ sP63 ),
    inference(definition_unfolding,[],[f256,f195]) ).

fof(f256,plain,
    ( e3 != op(e3,e0)
    | ~ sP63 ),
    inference(cnf_transformation,[],[f96]) ).

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

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

fof(f1488,plain,
    ( sP63
    | ~ spl76_68 ),
    inference(avatar_component_clause,[],[f1486]) ).

fof(f1486,plain,
    ( spl76_68
  <=> sP63 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_68])]) ).

fof(f1667,plain,
    ~ spl76_67,
    inference(avatar_contradiction_clause,[],[f1666]) ).

fof(f1666,plain,
    ( $false
    | ~ spl76_67 ),
    inference(resolution,[],[f1484,f877]) ).

fof(f877,plain,
    ~ sP62,
    inference(trivial_inequality_removal,[],[f876]) ).

fof(f876,plain,
    ( e2 != e2
    | ~ sP62 ),
    inference(forward_demodulation,[],[f265,f193]) ).

fof(f265,plain,
    ( e2 != op(e4,e3)
    | ~ sP62 ),
    inference(cnf_transformation,[],[f97]) ).

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

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

fof(f1484,plain,
    ( sP62
    | ~ spl76_67 ),
    inference(avatar_component_clause,[],[f1482]) ).

fof(f1482,plain,
    ( spl76_67
  <=> sP62 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_67])]) ).

fof(f1665,plain,
    ~ spl76_66,
    inference(avatar_contradiction_clause,[],[f1664]) ).

fof(f1664,plain,
    ( $false
    | ~ spl76_66 ),
    inference(resolution,[],[f1480,f879]) ).

fof(f879,plain,
    ~ sP61,
    inference(trivial_inequality_removal,[],[f878]) ).

fof(f878,plain,
    ( e2 != e2
    | ~ sP61 ),
    inference(forward_demodulation,[],[f270,f189]) ).

fof(f270,plain,
    ( e2 != op(e3,e4)
    | ~ sP61 ),
    inference(cnf_transformation,[],[f98]) ).

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

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

fof(f1480,plain,
    ( sP61
    | ~ spl76_66 ),
    inference(avatar_component_clause,[],[f1478]) ).

fof(f1478,plain,
    ( spl76_66
  <=> sP61 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_66])]) ).

fof(f1663,plain,
    ~ spl76_65,
    inference(avatar_contradiction_clause,[],[f1662]) ).

fof(f1662,plain,
    ( $false
    | ~ spl76_65 ),
    inference(resolution,[],[f1476,f882]) ).

fof(f882,plain,
    ~ sP60,
    inference(trivial_inequality_removal,[],[f881]) ).

fof(f881,plain,
    ( e1 != e1
    | ~ sP60 ),
    inference(forward_demodulation,[],[f274,f188]) ).

fof(f188,plain,
    e1 = op(e3,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f274,plain,
    ( e1 != op(e3,e3)
    | ~ sP60 ),
    inference(cnf_transformation,[],[f99]) ).

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

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

fof(f1476,plain,
    ( sP60
    | ~ spl76_65 ),
    inference(avatar_component_clause,[],[f1474]) ).

fof(f1474,plain,
    ( spl76_65
  <=> sP60 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_65])]) ).

fof(f1661,plain,
    ~ spl76_64,
    inference(avatar_contradiction_clause,[],[f1660]) ).

fof(f1660,plain,
    ( $false
    | ~ spl76_64 ),
    inference(resolution,[],[f1472,f885]) ).

fof(f885,plain,
    ~ sP59,
    inference(trivial_inequality_removal,[],[f884]) ).

fof(f884,plain,
    ( e1 != e1
    | ~ sP59 ),
    inference(forward_demodulation,[],[f279,f188]) ).

fof(f279,plain,
    ( e1 != op(e3,e3)
    | ~ sP59 ),
    inference(cnf_transformation,[],[f100]) ).

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

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

fof(f1472,plain,
    ( sP59
    | ~ spl76_64 ),
    inference(avatar_component_clause,[],[f1470]) ).

fof(f1470,plain,
    ( spl76_64
  <=> sP59 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_64])]) ).

fof(f1659,plain,
    ~ spl76_63,
    inference(avatar_contradiction_clause,[],[f1658]) ).

fof(f1658,plain,
    ( $false
    | ~ spl76_63 ),
    inference(resolution,[],[f1468,f890]) ).

fof(f890,plain,
    ~ sP58,
    inference(trivial_inequality_removal,[],[f889]) ).

fof(f889,plain,
    ( unit != unit
    | ~ sP58 ),
    inference(forward_demodulation,[],[f646,f611]) ).

fof(f611,plain,
    op(e1,e3) = unit,
    inference(definition_unfolding,[],[f178,f195]) ).

fof(f178,plain,
    e0 = op(e1,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f646,plain,
    ( op(e1,e3) != unit
    | ~ sP58 ),
    inference(definition_unfolding,[],[f282,f195]) ).

fof(f282,plain,
    ( e0 != op(e1,e3)
    | ~ sP58 ),
    inference(cnf_transformation,[],[f101]) ).

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

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

fof(f1468,plain,
    ( sP58
    | ~ spl76_63 ),
    inference(avatar_component_clause,[],[f1466]) ).

fof(f1466,plain,
    ( spl76_63
  <=> sP58 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_63])]) ).

fof(f1657,plain,
    ~ spl76_62,
    inference(avatar_contradiction_clause,[],[f1656]) ).

fof(f1656,plain,
    ( $false
    | ~ spl76_62 ),
    inference(resolution,[],[f1464,f894]) ).

fof(f894,plain,
    ~ sP57,
    inference(trivial_inequality_removal,[],[f893]) ).

fof(f893,plain,
    ( unit != unit
    | ~ sP57 ),
    inference(forward_demodulation,[],[f650,f607]) ).

fof(f607,plain,
    op(e3,e2) = unit,
    inference(definition_unfolding,[],[f187,f195]) ).

fof(f187,plain,
    e0 = op(e3,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f650,plain,
    ( op(e3,e2) != unit
    | ~ sP57 ),
    inference(definition_unfolding,[],[f288,f195]) ).

fof(f288,plain,
    ( e0 != op(e3,e2)
    | ~ sP57 ),
    inference(cnf_transformation,[],[f102]) ).

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

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

fof(f1464,plain,
    ( sP57
    | ~ spl76_62 ),
    inference(avatar_component_clause,[],[f1462]) ).

fof(f1462,plain,
    ( spl76_62
  <=> sP57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_62])]) ).

fof(f1655,plain,
    ~ spl76_61,
    inference(avatar_contradiction_clause,[],[f1654]) ).

fof(f1654,plain,
    ( $false
    | ~ spl76_61 ),
    inference(resolution,[],[f1460,f899]) ).

fof(f899,plain,
    ~ sP56,
    inference(trivial_inequality_removal,[],[f898]) ).

fof(f898,plain,
    ( e4 != e4
    | ~ sP56 ),
    inference(forward_demodulation,[],[f292,f177]) ).

fof(f177,plain,
    e4 = op(e1,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f292,plain,
    ( e4 != op(e1,e2)
    | ~ sP56 ),
    inference(cnf_transformation,[],[f103]) ).

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

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

fof(f1460,plain,
    ( sP56
    | ~ spl76_61 ),
    inference(avatar_component_clause,[],[f1458]) ).

fof(f1458,plain,
    ( spl76_61
  <=> sP56 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_61])]) ).

fof(f1653,plain,
    ~ spl76_60,
    inference(avatar_contradiction_clause,[],[f1652]) ).

fof(f1652,plain,
    ( $false
    | ~ spl76_60 ),
    inference(resolution,[],[f1456,f902]) ).

fof(f902,plain,
    ~ sP55,
    inference(trivial_inequality_removal,[],[f901]) ).

fof(f901,plain,
    ( e4 != e4
    | ~ sP55 ),
    inference(forward_demodulation,[],[f299,f183]) ).

fof(f299,plain,
    ( e4 != op(e2,e3)
    | ~ sP55 ),
    inference(cnf_transformation,[],[f104]) ).

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

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

fof(f1456,plain,
    ( sP55
    | ~ spl76_60 ),
    inference(avatar_component_clause,[],[f1454]) ).

fof(f1454,plain,
    ( spl76_60
  <=> sP55 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_60])]) ).

fof(f1651,plain,
    ~ spl76_59,
    inference(avatar_contradiction_clause,[],[f1650]) ).

fof(f1650,plain,
    ( $false
    | ~ spl76_59 ),
    inference(resolution,[],[f1452,f906]) ).

fof(f906,plain,
    ~ sP54,
    inference(trivial_inequality_removal,[],[f905]) ).

fof(f905,plain,
    ( e3 != e3
    | ~ sP54 ),
    inference(forward_demodulation,[],[f303,f182]) ).

fof(f182,plain,
    e3 = op(e2,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f303,plain,
    ( e3 != op(e2,e2)
    | ~ sP54 ),
    inference(cnf_transformation,[],[f105]) ).

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

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

fof(f1452,plain,
    ( sP54
    | ~ spl76_59 ),
    inference(avatar_component_clause,[],[f1450]) ).

fof(f1450,plain,
    ( spl76_59
  <=> sP54 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_59])]) ).

fof(f1649,plain,
    ~ spl76_58,
    inference(avatar_contradiction_clause,[],[f1648]) ).

fof(f1648,plain,
    ( $false
    | ~ spl76_58 ),
    inference(resolution,[],[f1448,f910]) ).

fof(f910,plain,
    ~ sP53,
    inference(trivial_inequality_removal,[],[f909]) ).

fof(f909,plain,
    ( e3 != e3
    | ~ sP53 ),
    inference(forward_demodulation,[],[f308,f182]) ).

fof(f308,plain,
    ( e3 != op(e2,e2)
    | ~ sP53 ),
    inference(cnf_transformation,[],[f106]) ).

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

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

fof(f1448,plain,
    ( sP53
    | ~ spl76_58 ),
    inference(avatar_component_clause,[],[f1446]) ).

fof(f1446,plain,
    ( spl76_58
  <=> sP53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_58])]) ).

fof(f1647,plain,
    ~ spl76_57,
    inference(avatar_contradiction_clause,[],[f1646]) ).

fof(f1646,plain,
    ( $false
    | ~ spl76_57 ),
    inference(resolution,[],[f1444,f916]) ).

fof(f916,plain,
    ~ sP52,
    inference(trivial_inequality_removal,[],[f915]) ).

fof(f915,plain,
    ( e2 != e2
    | ~ sP52 ),
    inference(forward_demodulation,[],[f657,f615]) ).

fof(f615,plain,
    e2 = op(unit,e2),
    inference(definition_unfolding,[],[f172,f195]) ).

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

fof(f657,plain,
    ( e2 != op(unit,e2)
    | ~ sP52 ),
    inference(definition_unfolding,[],[f311,f195]) ).

fof(f311,plain,
    ( e2 != op(e0,e2)
    | ~ sP52 ),
    inference(cnf_transformation,[],[f107]) ).

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

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

fof(f1444,plain,
    ( sP52
    | ~ spl76_57 ),
    inference(avatar_component_clause,[],[f1442]) ).

fof(f1442,plain,
    ( spl76_57
  <=> sP52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_57])]) ).

fof(f1645,plain,
    ~ spl76_56,
    inference(avatar_contradiction_clause,[],[f1644]) ).

fof(f1644,plain,
    ( $false
    | ~ spl76_56 ),
    inference(resolution,[],[f1440,f922]) ).

fof(f922,plain,
    ~ sP51,
    inference(trivial_inequality_removal,[],[f921]) ).

fof(f921,plain,
    ( e2 != e2
    | ~ sP51 ),
    inference(forward_demodulation,[],[f658,f610]) ).

fof(f610,plain,
    e2 = op(e2,unit),
    inference(definition_unfolding,[],[f180,f195]) ).

fof(f180,plain,
    e2 = op(e2,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f658,plain,
    ( e2 != op(e2,unit)
    | ~ sP51 ),
    inference(definition_unfolding,[],[f316,f195]) ).

fof(f316,plain,
    ( e2 != op(e2,e0)
    | ~ sP51 ),
    inference(cnf_transformation,[],[f108]) ).

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

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

fof(f1440,plain,
    ( sP51
    | ~ spl76_56 ),
    inference(avatar_component_clause,[],[f1438]) ).

fof(f1438,plain,
    ( spl76_56
  <=> sP51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_56])]) ).

fof(f1643,plain,
    ~ spl76_55,
    inference(avatar_contradiction_clause,[],[f1642]) ).

fof(f1642,plain,
    ( $false
    | ~ spl76_55 ),
    inference(resolution,[],[f1436,f924]) ).

fof(f924,plain,
    ~ sP50,
    inference(trivial_inequality_removal,[],[f923]) ).

fof(f923,plain,
    ( e1 != e1
    | ~ sP50 ),
    inference(forward_demodulation,[],[f325,f192]) ).

fof(f325,plain,
    ( e1 != op(e4,e2)
    | ~ sP50 ),
    inference(cnf_transformation,[],[f109]) ).

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

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

fof(f1436,plain,
    ( sP50
    | ~ spl76_55 ),
    inference(avatar_component_clause,[],[f1434]) ).

fof(f1434,plain,
    ( spl76_55
  <=> sP50 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_55])]) ).

fof(f1641,plain,
    ~ spl76_54,
    inference(avatar_contradiction_clause,[],[f1640]) ).

fof(f1640,plain,
    ( $false
    | ~ spl76_54 ),
    inference(resolution,[],[f1432,f926]) ).

fof(f926,plain,
    ~ sP49,
    inference(trivial_inequality_removal,[],[f925]) ).

fof(f925,plain,
    ( e1 != e1
    | ~ sP49 ),
    inference(forward_demodulation,[],[f330,f184]) ).

fof(f330,plain,
    ( e1 != op(e2,e4)
    | ~ sP49 ),
    inference(cnf_transformation,[],[f110]) ).

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

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

fof(f1432,plain,
    ( sP49
    | ~ spl76_54 ),
    inference(avatar_component_clause,[],[f1430]) ).

fof(f1430,plain,
    ( spl76_54
  <=> sP49 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_54])]) ).

fof(f1639,plain,
    ~ spl76_53,
    inference(avatar_contradiction_clause,[],[f1638]) ).

fof(f1638,plain,
    ( $false
    | ~ spl76_53 ),
    inference(resolution,[],[f1428,f929]) ).

fof(f929,plain,
    ~ sP48,
    inference(trivial_inequality_removal,[],[f928]) ).

fof(f928,plain,
    ( unit != unit
    | ~ sP48 ),
    inference(forward_demodulation,[],[f662,f607]) ).

fof(f662,plain,
    ( op(e3,e2) != unit
    | ~ sP48 ),
    inference(definition_unfolding,[],[f334,f195]) ).

fof(f334,plain,
    ( e0 != op(e3,e2)
    | ~ sP48 ),
    inference(cnf_transformation,[],[f111]) ).

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

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

fof(f1428,plain,
    ( sP48
    | ~ spl76_53 ),
    inference(avatar_component_clause,[],[f1426]) ).

fof(f1426,plain,
    ( spl76_53
  <=> sP48 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_53])]) ).

fof(f1637,plain,
    ~ spl76_52,
    inference(avatar_contradiction_clause,[],[f1636]) ).

fof(f1636,plain,
    ( $false
    | ~ spl76_52 ),
    inference(resolution,[],[f1424,f934]) ).

fof(f934,plain,
    ~ sP47,
    inference(trivial_inequality_removal,[],[f933]) ).

fof(f933,plain,
    ( unit != unit
    | ~ sP47 ),
    inference(forward_demodulation,[],[f669,f609]) ).

fof(f609,plain,
    op(e2,e1) = unit,
    inference(definition_unfolding,[],[f181,f195]) ).

fof(f181,plain,
    e0 = op(e2,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f669,plain,
    ( op(e2,e1) != unit
    | ~ sP47 ),
    inference(definition_unfolding,[],[f337,f195]) ).

fof(f337,plain,
    ( e0 != op(e2,e1)
    | ~ sP47 ),
    inference(cnf_transformation,[],[f112]) ).

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

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

fof(f1424,plain,
    ( sP47
    | ~ spl76_52 ),
    inference(avatar_component_clause,[],[f1422]) ).

fof(f1422,plain,
    ( spl76_52
  <=> sP47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_52])]) ).

fof(f1635,plain,
    ~ spl76_51,
    inference(avatar_contradiction_clause,[],[f1634]) ).

fof(f1634,plain,
    ( $false
    | ~ spl76_51 ),
    inference(resolution,[],[f1420,f937]) ).

fof(f937,plain,
    ~ sP46,
    inference(trivial_inequality_removal,[],[f936]) ).

fof(f936,plain,
    ( e4 != e4
    | ~ sP46 ),
    inference(forward_demodulation,[],[f344,f186]) ).

fof(f344,plain,
    ( e4 != op(e3,e1)
    | ~ sP46 ),
    inference(cnf_transformation,[],[f113]) ).

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

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

fof(f1420,plain,
    ( sP46
    | ~ spl76_51 ),
    inference(avatar_component_clause,[],[f1418]) ).

fof(f1418,plain,
    ( spl76_51
  <=> sP46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_51])]) ).

fof(f1633,plain,
    ~ spl76_50,
    inference(avatar_contradiction_clause,[],[f1632]) ).

fof(f1632,plain,
    ( $false
    | ~ spl76_50 ),
    inference(resolution,[],[f1416,f941]) ).

fof(f941,plain,
    ~ sP45,
    inference(trivial_inequality_removal,[],[f940]) ).

fof(f940,plain,
    ( e4 != e4
    | ~ sP45 ),
    inference(forward_demodulation,[],[f348,f177]) ).

fof(f348,plain,
    ( e4 != op(e1,e2)
    | ~ sP45 ),
    inference(cnf_transformation,[],[f114]) ).

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

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

fof(f1416,plain,
    ( sP45
    | ~ spl76_50 ),
    inference(avatar_component_clause,[],[f1414]) ).

fof(f1414,plain,
    ( spl76_50
  <=> sP45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_50])]) ).

fof(f1631,plain,
    ~ spl76_49,
    inference(avatar_contradiction_clause,[],[f1630]) ).

fof(f1630,plain,
    ( $false
    | ~ spl76_49 ),
    inference(resolution,[],[f1412,f943]) ).

fof(f943,plain,
    ~ sP44,
    inference(trivial_inequality_removal,[],[f942]) ).

fof(f942,plain,
    ( e3 != e3
    | ~ sP44 ),
    inference(forward_demodulation,[],[f355,f191]) ).

fof(f355,plain,
    ( e3 != op(e4,e1)
    | ~ sP44 ),
    inference(cnf_transformation,[],[f115]) ).

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

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

fof(f1412,plain,
    ( sP44
    | ~ spl76_49 ),
    inference(avatar_component_clause,[],[f1410]) ).

fof(f1410,plain,
    ( spl76_49
  <=> sP44 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_49])]) ).

fof(f1629,plain,
    ~ spl76_48,
    inference(avatar_contradiction_clause,[],[f1628]) ).

fof(f1628,plain,
    ( $false
    | ~ spl76_48 ),
    inference(resolution,[],[f1408,f945]) ).

fof(f945,plain,
    ~ sP43,
    inference(trivial_inequality_removal,[],[f944]) ).

fof(f944,plain,
    ( e3 != e3
    | ~ sP43 ),
    inference(forward_demodulation,[],[f360,f179]) ).

fof(f360,plain,
    ( e3 != op(e1,e4)
    | ~ sP43 ),
    inference(cnf_transformation,[],[f116]) ).

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

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

fof(f1408,plain,
    ( sP43
    | ~ spl76_48 ),
    inference(avatar_component_clause,[],[f1406]) ).

fof(f1406,plain,
    ( spl76_48
  <=> sP43 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_48])]) ).

fof(f1627,plain,
    ~ spl76_47,
    inference(avatar_contradiction_clause,[],[f1626]) ).

fof(f1626,plain,
    ( $false
    | ~ spl76_47 ),
    inference(resolution,[],[f1404,f950]) ).

fof(f950,plain,
    ~ sP42,
    inference(trivial_inequality_removal,[],[f949]) ).

fof(f949,plain,
    ( e2 != e2
    | ~ sP42 ),
    inference(forward_demodulation,[],[f362,f176]) ).

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

fof(f362,plain,
    ( e2 != op(e1,e1)
    | ~ sP42 ),
    inference(cnf_transformation,[],[f117]) ).

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

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

fof(f1404,plain,
    ( sP42
    | ~ spl76_47 ),
    inference(avatar_component_clause,[],[f1402]) ).

fof(f1402,plain,
    ( spl76_47
  <=> sP42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_47])]) ).

fof(f1625,plain,
    ~ spl76_46,
    inference(avatar_contradiction_clause,[],[f1624]) ).

fof(f1624,plain,
    ( $false
    | ~ spl76_46 ),
    inference(resolution,[],[f1400,f955]) ).

fof(f955,plain,
    ~ sP41,
    inference(trivial_inequality_removal,[],[f954]) ).

fof(f954,plain,
    ( e2 != e2
    | ~ sP41 ),
    inference(forward_demodulation,[],[f367,f176]) ).

fof(f367,plain,
    ( e2 != op(e1,e1)
    | ~ sP41 ),
    inference(cnf_transformation,[],[f118]) ).

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

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

fof(f1400,plain,
    ( sP41
    | ~ spl76_46 ),
    inference(avatar_component_clause,[],[f1398]) ).

fof(f1398,plain,
    ( spl76_46
  <=> sP41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_46])]) ).

fof(f1623,plain,
    ~ spl76_45,
    inference(avatar_contradiction_clause,[],[f1622]) ).

fof(f1622,plain,
    ( $false
    | ~ spl76_45 ),
    inference(resolution,[],[f1396,f961]) ).

fof(f961,plain,
    ~ sP40,
    inference(trivial_inequality_removal,[],[f960]) ).

fof(f960,plain,
    ( e1 != e1
    | ~ sP40 ),
    inference(forward_demodulation,[],[f677,f616]) ).

fof(f616,plain,
    e1 = op(unit,e1),
    inference(definition_unfolding,[],[f171,f195]) ).

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

fof(f677,plain,
    ( e1 != op(unit,e1)
    | ~ sP40 ),
    inference(definition_unfolding,[],[f371,f195]) ).

fof(f371,plain,
    ( e1 != op(e0,e1)
    | ~ sP40 ),
    inference(cnf_transformation,[],[f119]) ).

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

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

fof(f1396,plain,
    ( sP40
    | ~ spl76_45 ),
    inference(avatar_component_clause,[],[f1394]) ).

fof(f1394,plain,
    ( spl76_45
  <=> sP40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_45])]) ).

fof(f1621,plain,
    ~ spl76_44,
    inference(avatar_contradiction_clause,[],[f1620]) ).

fof(f1620,plain,
    ( $false
    | ~ spl76_44 ),
    inference(resolution,[],[f1392,f967]) ).

fof(f967,plain,
    ~ sP39,
    inference(trivial_inequality_removal,[],[f966]) ).

fof(f966,plain,
    ( e1 != e1
    | ~ sP39 ),
    inference(forward_demodulation,[],[f678,f612]) ).

fof(f612,plain,
    e1 = op(e1,unit),
    inference(definition_unfolding,[],[f175,f195]) ).

fof(f175,plain,
    e1 = op(e1,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f678,plain,
    ( e1 != op(e1,unit)
    | ~ sP39 ),
    inference(definition_unfolding,[],[f376,f195]) ).

fof(f376,plain,
    ( e1 != op(e1,e0)
    | ~ sP39 ),
    inference(cnf_transformation,[],[f120]) ).

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

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

fof(f1392,plain,
    ( sP39
    | ~ spl76_44 ),
    inference(avatar_component_clause,[],[f1390]) ).

fof(f1390,plain,
    ( spl76_44
  <=> sP39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_44])]) ).

fof(f1619,plain,
    ~ spl76_43,
    inference(avatar_contradiction_clause,[],[f1618]) ).

fof(f1618,plain,
    ( $false
    | ~ spl76_43 ),
    inference(resolution,[],[f1388,f971]) ).

fof(f971,plain,
    ~ sP38,
    inference(trivial_inequality_removal,[],[f970]) ).

fof(f970,plain,
    ( unit != unit
    | ~ sP38 ),
    inference(forward_demodulation,[],[f681,f609]) ).

fof(f681,plain,
    ( op(e2,e1) != unit
    | ~ sP38 ),
    inference(definition_unfolding,[],[f383,f195]) ).

fof(f383,plain,
    ( e0 != op(e2,e1)
    | ~ sP38 ),
    inference(cnf_transformation,[],[f121]) ).

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

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

fof(f1388,plain,
    ( sP38
    | ~ spl76_43 ),
    inference(avatar_component_clause,[],[f1386]) ).

fof(f1386,plain,
    ( spl76_43
  <=> sP38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_43])]) ).

fof(f1617,plain,
    ~ spl76_42,
    inference(avatar_contradiction_clause,[],[f1616]) ).

fof(f1616,plain,
    ( $false
    | ~ spl76_42 ),
    inference(resolution,[],[f1384,f974]) ).

fof(f974,plain,
    ~ sP37,
    inference(trivial_inequality_removal,[],[f973]) ).

fof(f973,plain,
    ( unit != unit
    | ~ sP37 ),
    inference(forward_demodulation,[],[f685,f611]) ).

fof(f685,plain,
    ( op(e1,e3) != unit
    | ~ sP37 ),
    inference(definition_unfolding,[],[f389,f195]) ).

fof(f389,plain,
    ( e0 != op(e1,e3)
    | ~ sP37 ),
    inference(cnf_transformation,[],[f122]) ).

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

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

fof(f1384,plain,
    ( sP37
    | ~ spl76_42 ),
    inference(avatar_component_clause,[],[f1382]) ).

fof(f1382,plain,
    ( spl76_42
  <=> sP37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_42])]) ).

fof(f1615,plain,
    ~ spl76_41,
    inference(avatar_contradiction_clause,[],[f1614]) ).

fof(f1614,plain,
    ( $false
    | ~ spl76_41 ),
    inference(resolution,[],[f1380,f976]) ).

fof(f976,plain,
    ~ sP36,
    inference(trivial_inequality_removal,[],[f975]) ).

fof(f975,plain,
    ( e4 != e4
    | ~ sP36 ),
    inference(forward_demodulation,[],[f689,f606]) ).

fof(f689,plain,
    ( e4 != op(e4,unit)
    | ~ sP36 ),
    inference(definition_unfolding,[],[f395,f195]) ).

fof(f395,plain,
    ( e4 != op(e4,e0)
    | ~ sP36 ),
    inference(cnf_transformation,[],[f123]) ).

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

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

fof(f1380,plain,
    ( sP36
    | ~ spl76_41 ),
    inference(avatar_component_clause,[],[f1378]) ).

fof(f1378,plain,
    ( spl76_41
  <=> sP36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_41])]) ).

fof(f1613,plain,
    ~ spl76_40,
    inference(avatar_contradiction_clause,[],[f1612]) ).

fof(f1612,plain,
    ( $false
    | ~ spl76_40 ),
    inference(resolution,[],[f1376,f978]) ).

fof(f978,plain,
    ~ sP35,
    inference(trivial_inequality_removal,[],[f977]) ).

fof(f977,plain,
    ( e4 != e4
    | ~ sP35 ),
    inference(forward_demodulation,[],[f694,f613]) ).

fof(f613,plain,
    e4 = op(unit,e4),
    inference(definition_unfolding,[],[f174,f195]) ).

fof(f174,plain,
    e4 = op(e0,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f694,plain,
    ( e4 != op(unit,e4)
    | ~ sP35 ),
    inference(definition_unfolding,[],[f400,f195]) ).

fof(f400,plain,
    ( e4 != op(e0,e4)
    | ~ sP35 ),
    inference(cnf_transformation,[],[f124]) ).

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

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

fof(f1376,plain,
    ( sP35
    | ~ spl76_40 ),
    inference(avatar_component_clause,[],[f1374]) ).

fof(f1374,plain,
    ( spl76_40
  <=> sP35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_40])]) ).

fof(f1611,plain,
    ~ spl76_39,
    inference(avatar_contradiction_clause,[],[f1610]) ).

fof(f1610,plain,
    ( $false
    | ~ spl76_39 ),
    inference(resolution,[],[f1372,f981]) ).

fof(f981,plain,
    ~ sP34,
    inference(trivial_inequality_removal,[],[f980]) ).

fof(f980,plain,
    ( e3 != e3
    | ~ sP34 ),
    inference(forward_demodulation,[],[f700,f608]) ).

fof(f700,plain,
    ( e3 != op(e3,unit)
    | ~ sP34 ),
    inference(definition_unfolding,[],[f404,f195]) ).

fof(f404,plain,
    ( e3 != op(e3,e0)
    | ~ sP34 ),
    inference(cnf_transformation,[],[f125]) ).

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

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

fof(f1372,plain,
    ( sP34
    | ~ spl76_39 ),
    inference(avatar_component_clause,[],[f1370]) ).

fof(f1370,plain,
    ( spl76_39
  <=> sP34 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_39])]) ).

fof(f1609,plain,
    ~ spl76_38,
    inference(avatar_contradiction_clause,[],[f1608]) ).

fof(f1608,plain,
    ( $false
    | ~ spl76_38 ),
    inference(resolution,[],[f1368,f984]) ).

fof(f984,plain,
    ~ sP33,
    inference(trivial_inequality_removal,[],[f983]) ).

fof(f983,plain,
    ( e3 != e3
    | ~ sP33 ),
    inference(forward_demodulation,[],[f705,f614]) ).

fof(f705,plain,
    ( e3 != op(unit,e3)
    | ~ sP33 ),
    inference(definition_unfolding,[],[f409,f195]) ).

fof(f409,plain,
    ( e3 != op(e0,e3)
    | ~ sP33 ),
    inference(cnf_transformation,[],[f126]) ).

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

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

fof(f1368,plain,
    ( sP33
    | ~ spl76_38 ),
    inference(avatar_component_clause,[],[f1366]) ).

fof(f1366,plain,
    ( spl76_38
  <=> sP33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_38])]) ).

fof(f1607,plain,
    ~ spl76_37,
    inference(avatar_contradiction_clause,[],[f1606]) ).

fof(f1606,plain,
    ( $false
    | ~ spl76_37 ),
    inference(resolution,[],[f1364,f988]) ).

fof(f988,plain,
    ~ sP32,
    inference(trivial_inequality_removal,[],[f987]) ).

fof(f987,plain,
    ( e2 != e2
    | ~ sP32 ),
    inference(forward_demodulation,[],[f711,f610]) ).

fof(f711,plain,
    ( e2 != op(e2,unit)
    | ~ sP32 ),
    inference(definition_unfolding,[],[f413,f195]) ).

fof(f413,plain,
    ( e2 != op(e2,e0)
    | ~ sP32 ),
    inference(cnf_transformation,[],[f127]) ).

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

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

fof(f1364,plain,
    ( sP32
    | ~ spl76_37 ),
    inference(avatar_component_clause,[],[f1362]) ).

fof(f1362,plain,
    ( spl76_37
  <=> sP32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_37])]) ).

fof(f1605,plain,
    ~ spl76_36,
    inference(avatar_contradiction_clause,[],[f1604]) ).

fof(f1604,plain,
    ( $false
    | ~ spl76_36 ),
    inference(resolution,[],[f1360,f992]) ).

fof(f992,plain,
    ~ sP31,
    inference(trivial_inequality_removal,[],[f991]) ).

fof(f991,plain,
    ( e2 != e2
    | ~ sP31 ),
    inference(forward_demodulation,[],[f716,f615]) ).

fof(f716,plain,
    ( e2 != op(unit,e2)
    | ~ sP31 ),
    inference(definition_unfolding,[],[f418,f195]) ).

fof(f418,plain,
    ( e2 != op(e0,e2)
    | ~ sP31 ),
    inference(cnf_transformation,[],[f128]) ).

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

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

fof(f1360,plain,
    ( sP31
    | ~ spl76_36 ),
    inference(avatar_component_clause,[],[f1358]) ).

fof(f1358,plain,
    ( spl76_36
  <=> sP31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_36])]) ).

fof(f1603,plain,
    ~ spl76_35,
    inference(avatar_contradiction_clause,[],[f1602]) ).

fof(f1602,plain,
    ( $false
    | ~ spl76_35 ),
    inference(resolution,[],[f1356,f997]) ).

fof(f997,plain,
    ~ sP30,
    inference(trivial_inequality_removal,[],[f996]) ).

fof(f996,plain,
    ( e1 != e1
    | ~ sP30 ),
    inference(forward_demodulation,[],[f722,f612]) ).

fof(f722,plain,
    ( e1 != op(e1,unit)
    | ~ sP30 ),
    inference(definition_unfolding,[],[f422,f195]) ).

fof(f422,plain,
    ( e1 != op(e1,e0)
    | ~ sP30 ),
    inference(cnf_transformation,[],[f129]) ).

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

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

fof(f1356,plain,
    ( sP30
    | ~ spl76_35 ),
    inference(avatar_component_clause,[],[f1354]) ).

fof(f1354,plain,
    ( spl76_35
  <=> sP30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_35])]) ).

fof(f1601,plain,
    ~ spl76_34,
    inference(avatar_contradiction_clause,[],[f1600]) ).

fof(f1600,plain,
    ( $false
    | ~ spl76_34 ),
    inference(resolution,[],[f1352,f1002]) ).

fof(f1002,plain,
    ~ sP29,
    inference(trivial_inequality_removal,[],[f1001]) ).

fof(f1001,plain,
    ( e1 != e1
    | ~ sP29 ),
    inference(forward_demodulation,[],[f727,f616]) ).

fof(f727,plain,
    ( e1 != op(unit,e1)
    | ~ sP29 ),
    inference(definition_unfolding,[],[f427,f195]) ).

fof(f427,plain,
    ( e1 != op(e0,e1)
    | ~ sP29 ),
    inference(cnf_transformation,[],[f130]) ).

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

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

fof(f1352,plain,
    ( sP29
    | ~ spl76_34 ),
    inference(avatar_component_clause,[],[f1350]) ).

fof(f1350,plain,
    ( spl76_34
  <=> sP29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_34])]) ).

fof(f1599,plain,
    ~ spl76_33,
    inference(avatar_contradiction_clause,[],[f1598]) ).

fof(f1598,plain,
    ( $false
    | ~ spl76_33 ),
    inference(resolution,[],[f1348,f1008]) ).

fof(f1008,plain,
    ~ sP28,
    inference(trivial_inequality_removal,[],[f1007]) ).

fof(f1007,plain,
    ( unit != unit
    | ~ sP28 ),
    inference(forward_demodulation,[],[f733,f617]) ).

fof(f617,plain,
    unit = op(unit,unit),
    inference(definition_unfolding,[],[f170,f195,f195,f195]) ).

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

fof(f733,plain,
    ( unit != op(unit,unit)
    | ~ sP28 ),
    inference(definition_unfolding,[],[f431,f195,f195,f195]) ).

fof(f431,plain,
    ( e0 != op(e0,e0)
    | ~ sP28 ),
    inference(cnf_transformation,[],[f131]) ).

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

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

fof(f1348,plain,
    ( sP28
    | ~ spl76_33 ),
    inference(avatar_component_clause,[],[f1346]) ).

fof(f1346,plain,
    ( spl76_33
  <=> sP28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_33])]) ).

fof(f1597,plain,
    ~ spl76_32,
    inference(avatar_contradiction_clause,[],[f1596]) ).

fof(f1596,plain,
    ( $false
    | ~ spl76_32 ),
    inference(resolution,[],[f1344,f1014]) ).

fof(f1014,plain,
    ~ sP27,
    inference(trivial_inequality_removal,[],[f1013]) ).

fof(f1013,plain,
    ( unit != unit
    | ~ sP27 ),
    inference(forward_demodulation,[],[f738,f617]) ).

fof(f738,plain,
    ( unit != op(unit,unit)
    | ~ sP27 ),
    inference(definition_unfolding,[],[f436,f195,f195,f195]) ).

fof(f436,plain,
    ( e0 != op(e0,e0)
    | ~ sP27 ),
    inference(cnf_transformation,[],[f132]) ).

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

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

fof(f1344,plain,
    ( sP27
    | ~ spl76_32 ),
    inference(avatar_component_clause,[],[f1342]) ).

fof(f1342,plain,
    ( spl76_32
  <=> sP27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_32])]) ).

fof(f1595,plain,
    ~ spl76_31,
    inference(avatar_contradiction_clause,[],[f1594]) ).

fof(f1594,plain,
    ( $false
    | ~ spl76_31 ),
    inference(resolution,[],[f1340,f820]) ).

fof(f820,plain,
    ~ sP26,
    inference(trivial_inequality_removal,[],[f739]) ).

fof(f739,plain,
    ( unit != unit
    | ~ sP26 ),
    inference(definition_unfolding,[],[f441,f195]) ).

fof(f441,plain,
    ( e0 != unit
    | ~ sP26 ),
    inference(cnf_transformation,[],[f133]) ).

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

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

fof(f1340,plain,
    ( sP26
    | ~ spl76_31 ),
    inference(avatar_component_clause,[],[f1338]) ).

fof(f1338,plain,
    ( spl76_31
  <=> sP26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_31])]) ).

fof(f1593,plain,
    ~ spl76_30,
    inference(avatar_contradiction_clause,[],[f1592]) ).

fof(f1592,plain,
    ( $false
    | ~ spl76_30 ),
    inference(resolution,[],[f1336,f1020]) ).

fof(f1020,plain,
    ~ sP25,
    inference(trivial_inequality_removal,[],[f1019]) ).

fof(f1019,plain,
    ( unit != unit
    | ~ sP25 ),
    inference(forward_demodulation,[],[f740,f605]) ).

fof(f740,plain,
    ( op(e4,e4) != unit
    | ~ sP25 ),
    inference(definition_unfolding,[],[f446,f195]) ).

fof(f446,plain,
    ( e0 != op(e4,e4)
    | ~ sP25 ),
    inference(cnf_transformation,[],[f134]) ).

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

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

fof(f1336,plain,
    ( sP25
    | ~ spl76_30 ),
    inference(avatar_component_clause,[],[f1334]) ).

fof(f1334,plain,
    ( spl76_30
  <=> sP25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_30])]) ).

fof(f1591,plain,
    ~ spl76_29,
    inference(avatar_contradiction_clause,[],[f1590]) ).

fof(f1590,plain,
    ( $false
    | ~ spl76_29 ),
    inference(resolution,[],[f1332,f1024]) ).

fof(f1024,plain,
    ~ sP24,
    inference(trivial_inequality_removal,[],[f1023]) ).

fof(f1023,plain,
    ( e2 != e2
    | ~ sP24 ),
    inference(forward_demodulation,[],[f453,f193]) ).

fof(f453,plain,
    ( e2 != op(e4,e3)
    | ~ sP24 ),
    inference(cnf_transformation,[],[f135]) ).

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

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

fof(f1332,plain,
    ( sP24
    | ~ spl76_29 ),
    inference(avatar_component_clause,[],[f1330]) ).

fof(f1330,plain,
    ( spl76_29
  <=> sP24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_29])]) ).

fof(f1589,plain,
    ~ spl76_28,
    inference(avatar_contradiction_clause,[],[f1588]) ).

fof(f1588,plain,
    ( $false
    | ~ spl76_28 ),
    inference(resolution,[],[f1328,f1029]) ).

fof(f1029,plain,
    ~ sP23,
    inference(trivial_inequality_removal,[],[f1028]) ).

fof(f1028,plain,
    ( e1 != e1
    | ~ sP23 ),
    inference(forward_demodulation,[],[f457,f192]) ).

fof(f457,plain,
    ( e1 != op(e4,e2)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f136]) ).

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

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

fof(f1328,plain,
    ( sP23
    | ~ spl76_28 ),
    inference(avatar_component_clause,[],[f1326]) ).

fof(f1326,plain,
    ( spl76_28
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_28])]) ).

fof(f1587,plain,
    ~ spl76_27,
    inference(avatar_contradiction_clause,[],[f1586]) ).

fof(f1586,plain,
    ( $false
    | ~ spl76_27 ),
    inference(resolution,[],[f1324,f1032]) ).

fof(f1032,plain,
    ~ sP22,
    inference(trivial_inequality_removal,[],[f1031]) ).

fof(f1031,plain,
    ( e3 != e3
    | ~ sP22 ),
    inference(forward_demodulation,[],[f464,f191]) ).

fof(f464,plain,
    ( e3 != op(e4,e1)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f137]) ).

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

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

fof(f1324,plain,
    ( sP22
    | ~ spl76_27 ),
    inference(avatar_component_clause,[],[f1322]) ).

fof(f1322,plain,
    ( spl76_27
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_27])]) ).

fof(f1585,plain,
    ~ spl76_26,
    inference(avatar_contradiction_clause,[],[f1584]) ).

fof(f1584,plain,
    ( $false
    | ~ spl76_26 ),
    inference(resolution,[],[f1320,f1034]) ).

fof(f1034,plain,
    ~ sP21,
    inference(trivial_inequality_removal,[],[f1033]) ).

fof(f1033,plain,
    ( e4 != e4
    | ~ sP21 ),
    inference(forward_demodulation,[],[f744,f606]) ).

fof(f744,plain,
    ( e4 != op(e4,unit)
    | ~ sP21 ),
    inference(definition_unfolding,[],[f470,f195]) ).

fof(f470,plain,
    ( e4 != op(e4,e0)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f138]) ).

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

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

fof(f1320,plain,
    ( sP21
    | ~ spl76_26 ),
    inference(avatar_component_clause,[],[f1318]) ).

fof(f1318,plain,
    ( spl76_26
  <=> sP21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_26])]) ).

fof(f1583,plain,
    ~ spl76_25,
    inference(avatar_contradiction_clause,[],[f1582]) ).

fof(f1582,plain,
    ( $false
    | ~ spl76_25 ),
    inference(resolution,[],[f1316,f1038]) ).

fof(f1038,plain,
    ~ sP20,
    inference(trivial_inequality_removal,[],[f1037]) ).

fof(f1037,plain,
    ( e2 != e2
    | ~ sP20 ),
    inference(forward_demodulation,[],[f473,f189]) ).

fof(f473,plain,
    ( e2 != op(e3,e4)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f139]) ).

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

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

fof(f1316,plain,
    ( sP20
    | ~ spl76_25 ),
    inference(avatar_component_clause,[],[f1314]) ).

fof(f1314,plain,
    ( spl76_25
  <=> sP20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_25])]) ).

fof(f1581,plain,
    ~ spl76_24,
    inference(avatar_contradiction_clause,[],[f1580]) ).

fof(f1580,plain,
    ( $false
    | ~ spl76_24 ),
    inference(resolution,[],[f1312,f1043]) ).

fof(f1043,plain,
    ~ sP19,
    inference(trivial_inequality_removal,[],[f1042]) ).

fof(f1042,plain,
    ( e1 != e1
    | ~ sP19 ),
    inference(forward_demodulation,[],[f477,f188]) ).

fof(f477,plain,
    ( e1 != op(e3,e3)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f140]) ).

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

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

fof(f1312,plain,
    ( sP19
    | ~ spl76_24 ),
    inference(avatar_component_clause,[],[f1310]) ).

fof(f1310,plain,
    ( spl76_24
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_24])]) ).

fof(f1579,plain,
    ~ spl76_23,
    inference(avatar_contradiction_clause,[],[f1578]) ).

fof(f1578,plain,
    ( $false
    | ~ spl76_23 ),
    inference(resolution,[],[f1308,f1049]) ).

fof(f1049,plain,
    ~ sP18,
    inference(trivial_inequality_removal,[],[f1048]) ).

fof(f1048,plain,
    ( unit != unit
    | ~ sP18 ),
    inference(forward_demodulation,[],[f751,f607]) ).

fof(f751,plain,
    ( op(e3,e2) != unit
    | ~ sP18 ),
    inference(definition_unfolding,[],[f481,f195]) ).

fof(f481,plain,
    ( e0 != op(e3,e2)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f141]) ).

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

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

fof(f1308,plain,
    ( sP18
    | ~ spl76_23 ),
    inference(avatar_component_clause,[],[f1306]) ).

fof(f1306,plain,
    ( spl76_23
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_23])]) ).

fof(f1577,plain,
    ~ spl76_22,
    inference(avatar_contradiction_clause,[],[f1576]) ).

fof(f1576,plain,
    ( $false
    | ~ spl76_22 ),
    inference(resolution,[],[f1304,f1051]) ).

fof(f1051,plain,
    ~ sP17,
    inference(trivial_inequality_removal,[],[f1050]) ).

fof(f1050,plain,
    ( e4 != e4
    | ~ sP17 ),
    inference(forward_demodulation,[],[f490,f186]) ).

fof(f490,plain,
    ( e4 != op(e3,e1)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f142]) ).

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

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

fof(f1304,plain,
    ( sP17
    | ~ spl76_22 ),
    inference(avatar_component_clause,[],[f1302]) ).

fof(f1302,plain,
    ( spl76_22
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_22])]) ).

fof(f1575,plain,
    ~ spl76_21,
    inference(avatar_contradiction_clause,[],[f1574]) ).

fof(f1574,plain,
    ( $false
    | ~ spl76_21 ),
    inference(resolution,[],[f1300,f1054]) ).

fof(f1054,plain,
    ~ sP16,
    inference(trivial_inequality_removal,[],[f1053]) ).

fof(f1053,plain,
    ( e3 != e3
    | ~ sP16 ),
    inference(forward_demodulation,[],[f754,f608]) ).

fof(f754,plain,
    ( e3 != op(e3,unit)
    | ~ sP16 ),
    inference(definition_unfolding,[],[f494,f195]) ).

fof(f494,plain,
    ( e3 != op(e3,e0)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f143]) ).

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

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

fof(f1300,plain,
    ( sP16
    | ~ spl76_21 ),
    inference(avatar_component_clause,[],[f1298]) ).

fof(f1298,plain,
    ( spl76_21
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_21])]) ).

fof(f1573,plain,
    ~ spl76_20,
    inference(avatar_contradiction_clause,[],[f1572]) ).

fof(f1572,plain,
    ( $false
    | ~ spl76_20 ),
    inference(resolution,[],[f1296,f1059]) ).

fof(f1059,plain,
    ~ sP15,
    inference(trivial_inequality_removal,[],[f1058]) ).

fof(f1058,plain,
    ( e1 != e1
    | ~ sP15 ),
    inference(forward_demodulation,[],[f497,f184]) ).

fof(f497,plain,
    ( e1 != op(e2,e4)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f144]) ).

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

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

fof(f1296,plain,
    ( sP15
    | ~ spl76_20 ),
    inference(avatar_component_clause,[],[f1294]) ).

fof(f1294,plain,
    ( spl76_20
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_20])]) ).

fof(f1571,plain,
    ~ spl76_19,
    inference(avatar_contradiction_clause,[],[f1570]) ).

fof(f1570,plain,
    ( $false
    | ~ spl76_19 ),
    inference(resolution,[],[f1292,f1061]) ).

fof(f1061,plain,
    ~ sP14,
    inference(trivial_inequality_removal,[],[f1060]) ).

fof(f1060,plain,
    ( e4 != e4
    | ~ sP14 ),
    inference(forward_demodulation,[],[f505,f183]) ).

fof(f505,plain,
    ( e4 != op(e2,e3)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f145]) ).

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

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

fof(f1292,plain,
    ( sP14
    | ~ spl76_19 ),
    inference(avatar_component_clause,[],[f1290]) ).

fof(f1290,plain,
    ( spl76_19
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_19])]) ).

fof(f1569,plain,
    ~ spl76_18,
    inference(avatar_contradiction_clause,[],[f1568]) ).

fof(f1568,plain,
    ( $false
    | ~ spl76_18 ),
    inference(resolution,[],[f1288,f1064]) ).

fof(f1064,plain,
    ~ sP13,
    inference(trivial_inequality_removal,[],[f1063]) ).

fof(f1063,plain,
    ( e3 != e3
    | ~ sP13 ),
    inference(forward_demodulation,[],[f509,f182]) ).

fof(f509,plain,
    ( e3 != op(e2,e2)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f146]) ).

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

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

fof(f1288,plain,
    ( sP13
    | ~ spl76_18 ),
    inference(avatar_component_clause,[],[f1286]) ).

fof(f1286,plain,
    ( spl76_18
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_18])]) ).

fof(f1567,plain,
    ~ spl76_17,
    inference(avatar_contradiction_clause,[],[f1566]) ).

fof(f1566,plain,
    ( $false
    | ~ spl76_17 ),
    inference(resolution,[],[f1284,f1070]) ).

fof(f1070,plain,
    ~ sP12,
    inference(trivial_inequality_removal,[],[f1069]) ).

fof(f1069,plain,
    ( unit != unit
    | ~ sP12 ),
    inference(forward_demodulation,[],[f761,f609]) ).

fof(f761,plain,
    ( op(e2,e1) != unit
    | ~ sP12 ),
    inference(definition_unfolding,[],[f511,f195]) ).

fof(f511,plain,
    ( e0 != op(e2,e1)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f147]) ).

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

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

fof(f1284,plain,
    ( sP12
    | ~ spl76_17 ),
    inference(avatar_component_clause,[],[f1282]) ).

fof(f1282,plain,
    ( spl76_17
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_17])]) ).

fof(f1565,plain,
    ~ spl76_16,
    inference(avatar_contradiction_clause,[],[f1564]) ).

fof(f1564,plain,
    ( $false
    | ~ spl76_16 ),
    inference(resolution,[],[f1280,f1074]) ).

fof(f1074,plain,
    ~ sP11,
    inference(trivial_inequality_removal,[],[f1073]) ).

fof(f1073,plain,
    ( e2 != e2
    | ~ sP11 ),
    inference(forward_demodulation,[],[f764,f610]) ).

fof(f764,plain,
    ( e2 != op(e2,unit)
    | ~ sP11 ),
    inference(definition_unfolding,[],[f518,f195]) ).

fof(f518,plain,
    ( e2 != op(e2,e0)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f148]) ).

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

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

fof(f1280,plain,
    ( sP11
    | ~ spl76_16 ),
    inference(avatar_component_clause,[],[f1278]) ).

fof(f1278,plain,
    ( spl76_16
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_16])]) ).

fof(f1563,plain,
    ~ spl76_15,
    inference(avatar_contradiction_clause,[],[f1562]) ).

fof(f1562,plain,
    ( $false
    | ~ spl76_15 ),
    inference(resolution,[],[f1276,f1077]) ).

fof(f1077,plain,
    ~ sP10,
    inference(trivial_inequality_removal,[],[f1076]) ).

fof(f1076,plain,
    ( e3 != e3
    | ~ sP10 ),
    inference(forward_demodulation,[],[f524,f179]) ).

fof(f524,plain,
    ( e3 != op(e1,e4)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f149]) ).

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

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

fof(f1276,plain,
    ( sP10
    | ~ spl76_15 ),
    inference(avatar_component_clause,[],[f1274]) ).

fof(f1274,plain,
    ( spl76_15
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_15])]) ).

fof(f1561,plain,
    ~ spl76_14,
    inference(avatar_contradiction_clause,[],[f1560]) ).

fof(f1560,plain,
    ( $false
    | ~ spl76_14 ),
    inference(resolution,[],[f1272,f1083]) ).

fof(f1083,plain,
    ~ sP9,
    inference(trivial_inequality_removal,[],[f1082]) ).

fof(f1082,plain,
    ( unit != unit
    | ~ sP9 ),
    inference(forward_demodulation,[],[f768,f611]) ).

fof(f768,plain,
    ( op(e1,e3) != unit
    | ~ sP9 ),
    inference(definition_unfolding,[],[f526,f195]) ).

fof(f526,plain,
    ( e0 != op(e1,e3)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f150]) ).

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

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

fof(f1272,plain,
    ( sP9
    | ~ spl76_14 ),
    inference(avatar_component_clause,[],[f1270]) ).

fof(f1270,plain,
    ( spl76_14
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_14])]) ).

fof(f1559,plain,
    ~ spl76_13,
    inference(avatar_contradiction_clause,[],[f1558]) ).

fof(f1558,plain,
    ( $false
    | ~ spl76_13 ),
    inference(resolution,[],[f1268,f1085]) ).

fof(f1085,plain,
    ~ sP8,
    inference(trivial_inequality_removal,[],[f1084]) ).

fof(f1084,plain,
    ( e4 != e4
    | ~ sP8 ),
    inference(forward_demodulation,[],[f535,f177]) ).

fof(f535,plain,
    ( e4 != op(e1,e2)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f151]) ).

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

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

fof(f1268,plain,
    ( sP8
    | ~ spl76_13 ),
    inference(avatar_component_clause,[],[f1266]) ).

fof(f1266,plain,
    ( spl76_13
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_13])]) ).

fof(f1557,plain,
    ~ spl76_12,
    inference(avatar_contradiction_clause,[],[f1556]) ).

fof(f1556,plain,
    ( $false
    | ~ spl76_12 ),
    inference(resolution,[],[f1264,f1089]) ).

fof(f1089,plain,
    ~ sP7,
    inference(trivial_inequality_removal,[],[f1088]) ).

fof(f1088,plain,
    ( e2 != e2
    | ~ sP7 ),
    inference(forward_demodulation,[],[f538,f176]) ).

fof(f538,plain,
    ( e2 != op(e1,e1)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f152]) ).

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

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

fof(f1264,plain,
    ( sP7
    | ~ spl76_12 ),
    inference(avatar_component_clause,[],[f1262]) ).

fof(f1262,plain,
    ( spl76_12
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_12])]) ).

fof(f1555,plain,
    ~ spl76_11,
    inference(avatar_contradiction_clause,[],[f1554]) ).

fof(f1554,plain,
    ( $false
    | ~ spl76_11 ),
    inference(resolution,[],[f1260,f1094]) ).

fof(f1094,plain,
    ~ sP6,
    inference(trivial_inequality_removal,[],[f1093]) ).

fof(f1093,plain,
    ( e1 != e1
    | ~ sP6 ),
    inference(forward_demodulation,[],[f774,f612]) ).

fof(f774,plain,
    ( e1 != op(e1,unit)
    | ~ sP6 ),
    inference(definition_unfolding,[],[f542,f195]) ).

fof(f542,plain,
    ( e1 != op(e1,e0)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f153]) ).

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

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

fof(f1260,plain,
    ( sP6
    | ~ spl76_11 ),
    inference(avatar_component_clause,[],[f1258]) ).

fof(f1258,plain,
    ( spl76_11
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_11])]) ).

fof(f1553,plain,
    ~ spl76_10,
    inference(avatar_contradiction_clause,[],[f1552]) ).

fof(f1552,plain,
    ( $false
    | ~ spl76_10 ),
    inference(resolution,[],[f1256,f1096]) ).

fof(f1096,plain,
    ~ sP5,
    inference(trivial_inequality_removal,[],[f1095]) ).

fof(f1095,plain,
    ( e4 != e4
    | ~ sP5 ),
    inference(forward_demodulation,[],[f776,f613]) ).

fof(f776,plain,
    ( e4 != op(unit,e4)
    | ~ sP5 ),
    inference(definition_unfolding,[],[f550,f195]) ).

fof(f550,plain,
    ( e4 != op(e0,e4)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f154]) ).

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

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

fof(f1256,plain,
    ( sP5
    | ~ spl76_10 ),
    inference(avatar_component_clause,[],[f1254]) ).

fof(f1254,plain,
    ( spl76_10
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_10])]) ).

fof(f1551,plain,
    ~ spl76_9,
    inference(avatar_contradiction_clause,[],[f1550]) ).

fof(f1550,plain,
    ( $false
    | ~ spl76_9 ),
    inference(resolution,[],[f1252,f1099]) ).

fof(f1099,plain,
    ~ sP4,
    inference(trivial_inequality_removal,[],[f1098]) ).

fof(f1098,plain,
    ( e3 != e3
    | ~ sP4 ),
    inference(forward_demodulation,[],[f782,f614]) ).

fof(f782,plain,
    ( e3 != op(unit,e3)
    | ~ sP4 ),
    inference(definition_unfolding,[],[f554,f195]) ).

fof(f554,plain,
    ( e3 != op(e0,e3)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f155]) ).

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

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

fof(f1252,plain,
    ( sP4
    | ~ spl76_9 ),
    inference(avatar_component_clause,[],[f1250]) ).

fof(f1250,plain,
    ( spl76_9
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_9])]) ).

fof(f1549,plain,
    ~ spl76_8,
    inference(avatar_contradiction_clause,[],[f1548]) ).

fof(f1548,plain,
    ( $false
    | ~ spl76_8 ),
    inference(resolution,[],[f1248,f1103]) ).

fof(f1103,plain,
    ~ sP3,
    inference(trivial_inequality_removal,[],[f1102]) ).

fof(f1102,plain,
    ( e2 != e2
    | ~ sP3 ),
    inference(forward_demodulation,[],[f788,f615]) ).

fof(f788,plain,
    ( e2 != op(unit,e2)
    | ~ sP3 ),
    inference(definition_unfolding,[],[f558,f195]) ).

fof(f558,plain,
    ( e2 != op(e0,e2)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f156]) ).

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

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

fof(f1248,plain,
    ( sP3
    | ~ spl76_8 ),
    inference(avatar_component_clause,[],[f1246]) ).

fof(f1246,plain,
    ( spl76_8
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_8])]) ).

fof(f1547,plain,
    ~ spl76_7,
    inference(avatar_contradiction_clause,[],[f1546]) ).

fof(f1546,plain,
    ( $false
    | ~ spl76_7 ),
    inference(resolution,[],[f1244,f1108]) ).

fof(f1108,plain,
    ~ sP2,
    inference(trivial_inequality_removal,[],[f1107]) ).

fof(f1107,plain,
    ( e1 != e1
    | ~ sP2 ),
    inference(forward_demodulation,[],[f794,f616]) ).

fof(f794,plain,
    ( e1 != op(unit,e1)
    | ~ sP2 ),
    inference(definition_unfolding,[],[f562,f195]) ).

fof(f562,plain,
    ( e1 != op(e0,e1)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f157]) ).

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

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

fof(f1244,plain,
    ( sP2
    | ~ spl76_7 ),
    inference(avatar_component_clause,[],[f1242]) ).

fof(f1242,plain,
    ( spl76_7
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_7])]) ).

fof(f1545,plain,
    ~ spl76_6,
    inference(avatar_contradiction_clause,[],[f1544]) ).

fof(f1544,plain,
    ( $false
    | ~ spl76_6 ),
    inference(resolution,[],[f1240,f1114]) ).

fof(f1114,plain,
    ~ sP1,
    inference(trivial_inequality_removal,[],[f1113]) ).

fof(f1113,plain,
    ( unit != unit
    | ~ sP1 ),
    inference(forward_demodulation,[],[f800,f617]) ).

fof(f800,plain,
    ( unit != op(unit,unit)
    | ~ sP1 ),
    inference(definition_unfolding,[],[f566,f195,f195,f195]) ).

fof(f566,plain,
    ( e0 != op(e0,e0)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f158]) ).

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

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

fof(f1240,plain,
    ( sP1
    | ~ spl76_6 ),
    inference(avatar_component_clause,[],[f1238]) ).

fof(f1238,plain,
    ( spl76_6
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_6])]) ).

fof(f1543,plain,
    ~ spl76_3,
    inference(avatar_contradiction_clause,[],[f1542]) ).

fof(f1542,plain,
    ( $false
    | ~ spl76_3 ),
    inference(trivial_inequality_removal,[],[f1538]) ).

fof(f1538,plain,
    ( unit != unit
    | ~ spl76_3 ),
    inference(superposition,[],[f601,f1157]) ).

fof(f1157,plain,
    ( e4 = unit
    | ~ spl76_3 ),
    inference(avatar_component_clause,[],[f1155]) ).

fof(f1155,plain,
    ( spl76_3
  <=> e4 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_3])]) ).

fof(f601,plain,
    e4 != unit,
    inference(definition_unfolding,[],[f163,f195]) ).

fof(f163,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f1]) ).

fof(f1537,plain,
    ( spl76_1
    | spl76_6
    | spl76_7
    | spl76_8
    | spl76_9
    | spl76_10
    | spl76_11
    | spl76_12
    | spl76_13
    | spl76_14
    | spl76_15
    | spl76_16
    | spl76_17
    | spl76_18
    | spl76_19
    | spl76_20
    | spl76_21
    | spl76_22
    | spl76_23
    | spl76_24
    | spl76_25
    | spl76_26
    | spl76_27
    | spl76_28
    | spl76_29
    | spl76_30
    | spl76_31
    | spl76_32
    | spl76_33
    | spl76_34
    | spl76_35
    | spl76_36
    | spl76_37
    | spl76_38
    | spl76_39
    | spl76_40
    | spl76_41
    | spl76_42
    | spl76_43
    | spl76_44
    | spl76_45
    | spl76_46
    | spl76_47
    | spl76_48
    | spl76_49
    | spl76_50
    | spl76_51
    | spl76_52
    | spl76_53
    | spl76_54
    | spl76_55
    | spl76_56
    | spl76_57
    | spl76_58
    | spl76_59
    | spl76_60
    | spl76_61
    | spl76_62
    | spl76_63
    | spl76_64
    | spl76_65
    | spl76_66
    | spl76_67
    | spl76_68
    | spl76_69
    | spl76_70
    | spl76_71
    | spl76_72
    | spl76_73
    | spl76_74
    | spl76_75
    | spl76_76
    | spl76_77
    | spl76_78
    | spl76_79
    | spl76_80 ),
    inference(avatar_split_clause,[],[f1236,f1534,f1530,f1526,f1522,f1518,f1514,f1510,f1506,f1502,f1498,f1494,f1490,f1486,f1482,f1478,f1474,f1470,f1466,f1462,f1458,f1454,f1450,f1446,f1442,f1438,f1434,f1430,f1426,f1422,f1418,f1414,f1410,f1406,f1402,f1398,f1394,f1390,f1386,f1382,f1378,f1374,f1370,f1366,f1362,f1358,f1354,f1350,f1346,f1342,f1338,f1334,f1330,f1326,f1322,f1318,f1314,f1310,f1306,f1302,f1298,f1294,f1290,f1286,f1282,f1278,f1274,f1270,f1266,f1262,f1258,f1254,f1250,f1246,f1242,f1238,f1147]) ).

fof(f1147,plain,
    ( spl76_1
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl76_1])]) ).

fof(f1236,plain,
    ( sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(trivial_inequality_removal,[],[f1235]) ).

fof(f1235,plain,
    ( unit != unit
    | sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(forward_demodulation,[],[f1234,f617]) ).

fof(f1234,plain,
    ( sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | unit != op(unit,unit)
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(trivial_inequality_removal,[],[f1233]) ).

fof(f1233,plain,
    ( e1 != e1
    | sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | unit != op(unit,unit)
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(forward_demodulation,[],[f1232,f616]) ).

fof(f1232,plain,
    ( sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | e1 != op(unit,e1)
    | unit != op(unit,unit)
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(trivial_inequality_removal,[],[f1231]) ).

fof(f1231,plain,
    ( e1 != e1
    | sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | e1 != op(unit,e1)
    | unit != op(unit,unit)
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(forward_demodulation,[],[f1230,f612]) ).

fof(f1230,plain,
    ( sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | unit != op(unit,unit)
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(trivial_inequality_removal,[],[f1229]) ).

fof(f1229,plain,
    ( e2 != e2
    | sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | unit != op(unit,unit)
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(forward_demodulation,[],[f1228,f615]) ).

fof(f1228,plain,
    ( sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | unit != op(unit,unit)
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(trivial_inequality_removal,[],[f1227]) ).

fof(f1227,plain,
    ( e2 != e2
    | sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | unit != op(unit,unit)
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(forward_demodulation,[],[f1226,f610]) ).

fof(f1226,plain,
    ( sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | unit != op(unit,unit)
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(trivial_inequality_removal,[],[f1225]) ).

fof(f1225,plain,
    ( e3 != e3
    | sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | unit != op(unit,unit)
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(forward_demodulation,[],[f1224,f614]) ).

fof(f1224,plain,
    ( sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | e3 != op(unit,e3)
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | unit != op(unit,unit)
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(trivial_inequality_removal,[],[f1223]) ).

fof(f1223,plain,
    ( e3 != e3
    | sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | e3 != op(unit,e3)
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | unit != op(unit,unit)
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(forward_demodulation,[],[f1222,f608]) ).

fof(f1222,plain,
    ( sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | e3 != op(e3,unit)
    | e3 != op(unit,e3)
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | unit != op(unit,unit)
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(trivial_inequality_removal,[],[f1221]) ).

fof(f1221,plain,
    ( e4 != e4
    | sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | e3 != op(e3,unit)
    | e3 != op(unit,e3)
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | unit != op(unit,unit)
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(forward_demodulation,[],[f1220,f606]) ).

fof(f1220,plain,
    ( sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | e4 != op(e4,unit)
    | e3 != op(e3,unit)
    | e3 != op(unit,e3)
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | unit != op(unit,unit)
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(trivial_inequality_removal,[],[f1219]) ).

fof(f1219,plain,
    ( e4 != e4
    | sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | e4 != op(e4,unit)
    | e3 != op(e3,unit)
    | e3 != op(unit,e3)
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | unit != op(unit,unit)
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(forward_demodulation,[],[f815,f613]) ).

fof(f815,plain,
    ( e4 != op(unit,e4)
    | sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | e4 != op(e4,unit)
    | e3 != op(e3,unit)
    | e3 != op(unit,e3)
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | unit != op(unit,unit)
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(duplicate_literal_removal,[],[f814]) ).

fof(f814,plain,
    ( e4 != op(unit,e4)
    | sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | e4 != op(e4,unit)
    | e4 != op(unit,e4)
    | e3 != op(e3,unit)
    | e3 != op(unit,e3)
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | unit != op(unit,unit)
    | unit != op(unit,unit)
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(definition_unfolding,[],[f596,f195,f195,f195,f195,f195]) ).

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

fof(f83,plain,
    ( ( e4 != op(e4,e4)
      & e4 != op(e3,e4)
      & e4 != op(e2,e4)
      & e4 != op(e1,e4)
      & e4 != op(e0,e4) )
    | sP75
    | sP74
    | sP73
    | sP72
    | sP71
    | sP70
    | sP69
    | sP68
    | sP67
    | sP66
    | sP65
    | sP64
    | sP63
    | sP62
    | sP61
    | sP60
    | sP59
    | sP58
    | sP57
    | sP56
    | sP55
    | sP54
    | sP53
    | sP52
    | sP51
    | sP50
    | sP49
    | sP48
    | sP47
    | sP46
    | sP45
    | sP44
    | sP43
    | sP42
    | sP41
    | sP40
    | sP39
    | sP38
    | sP37
    | sP36
    | sP35
    | sP34
    | sP33
    | sP32
    | sP31
    | sP30
    | sP29
    | sP28
    | sP27
    | sP26
    | e4 != op(e4,unit)
    | e4 != op(unit,e4)
    | e3 != op(e3,unit)
    | e3 != op(unit,e3)
    | e2 != op(e2,unit)
    | e2 != op(unit,e2)
    | e1 != op(e1,unit)
    | e1 != op(unit,e1)
    | e0 != op(e0,unit)
    | e0 != op(unit,e0)
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(definition_folding,[],[f6,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7]) ).

fof(f7,plain,
    ( ( ( 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) ) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

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

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

fof(f4,conjecture,
    ( ( e4 = op(e4,e4)
      | e4 = op(e3,e4)
      | e4 = op(e2,e4)
      | e4 = op(e1,e4)
      | e4 = op(e0,e4) )
    & ( e4 = op(e4,e4)
      | e4 = op(e4,e3)
      | e4 = op(e4,e2)
      | e4 = op(e4,e1)
      | e4 = op(e4,e0) )
    & ( e3 = op(e4,e4)
      | e3 = op(e3,e4)
      | e3 = op(e2,e4)
      | e3 = op(e1,e4)
      | e3 = op(e0,e4) )
    & ( e3 = op(e4,e4)
      | e3 = op(e4,e3)
      | e3 = op(e4,e2)
      | e3 = op(e4,e1)
      | e3 = op(e4,e0) )
    & ( e2 = op(e4,e4)
      | e2 = op(e3,e4)
      | e2 = op(e2,e4)
      | e2 = op(e1,e4)
      | e2 = op(e0,e4) )
    & ( e2 = op(e4,e4)
      | e2 = op(e4,e3)
      | e2 = op(e4,e2)
      | e2 = op(e4,e1)
      | e2 = op(e4,e0) )
    & ( e1 = op(e4,e4)
      | e1 = op(e3,e4)
      | e1 = op(e2,e4)
      | e1 = op(e1,e4)
      | e1 = op(e0,e4) )
    & ( e1 = op(e4,e4)
      | e1 = op(e4,e3)
      | e1 = op(e4,e2)
      | e1 = op(e4,e1)
      | e1 = op(e4,e0) )
    & ( e0 = op(e4,e4)
      | e0 = op(e3,e4)
      | e0 = op(e2,e4)
      | e0 = op(e1,e4)
      | e0 = op(e0,e4) )
    & ( e0 = op(e4,e4)
      | e0 = op(e4,e3)
      | e0 = op(e4,e2)
      | e0 = op(e4,e1)
      | e0 = op(e4,e0) )
    & ( e4 = op(e4,e3)
      | e4 = op(e3,e3)
      | e4 = op(e2,e3)
      | e4 = op(e1,e3)
      | e4 = op(e0,e3) )
    & ( e4 = op(e3,e4)
      | e4 = op(e3,e3)
      | e4 = op(e3,e2)
      | e4 = op(e3,e1)
      | e4 = op(e3,e0) )
    & ( e3 = op(e4,e3)
      | e3 = op(e3,e3)
      | e3 = op(e2,e3)
      | e3 = op(e1,e3)
      | e3 = op(e0,e3) )
    & ( e3 = op(e3,e4)
      | e3 = op(e3,e3)
      | e3 = op(e3,e2)
      | e3 = op(e3,e1)
      | e3 = op(e3,e0) )
    & ( e2 = op(e4,e3)
      | e2 = op(e3,e3)
      | e2 = op(e2,e3)
      | e2 = op(e1,e3)
      | e2 = op(e0,e3) )
    & ( e2 = op(e3,e4)
      | e2 = op(e3,e3)
      | e2 = op(e3,e2)
      | e2 = op(e3,e1)
      | e2 = op(e3,e0) )
    & ( e1 = op(e4,e3)
      | e1 = op(e3,e3)
      | e1 = op(e2,e3)
      | e1 = op(e1,e3)
      | e1 = op(e0,e3) )
    & ( e1 = op(e3,e4)
      | e1 = op(e3,e3)
      | e1 = op(e3,e2)
      | e1 = op(e3,e1)
      | e1 = op(e3,e0) )
    & ( e0 = op(e4,e3)
      | e0 = op(e3,e3)
      | e0 = op(e2,e3)
      | e0 = op(e1,e3)
      | e0 = op(e0,e3) )
    & ( e0 = op(e3,e4)
      | e0 = op(e3,e3)
      | e0 = op(e3,e2)
      | e0 = op(e3,e1)
      | e0 = op(e3,e0) )
    & ( e4 = op(e4,e2)
      | e4 = op(e3,e2)
      | e4 = op(e2,e2)
      | e4 = op(e1,e2)
      | e4 = op(e0,e2) )
    & ( e4 = op(e2,e4)
      | e4 = op(e2,e3)
      | e4 = op(e2,e2)
      | e4 = op(e2,e1)
      | e4 = op(e2,e0) )
    & ( e3 = op(e4,e2)
      | e3 = op(e3,e2)
      | e3 = op(e2,e2)
      | e3 = op(e1,e2)
      | e3 = op(e0,e2) )
    & ( e3 = op(e2,e4)
      | e3 = op(e2,e3)
      | e3 = op(e2,e2)
      | e3 = op(e2,e1)
      | e3 = op(e2,e0) )
    & ( e2 = op(e4,e2)
      | e2 = op(e3,e2)
      | e2 = op(e2,e2)
      | e2 = op(e1,e2)
      | e2 = op(e0,e2) )
    & ( e2 = op(e2,e4)
      | e2 = op(e2,e3)
      | e2 = op(e2,e2)
      | e2 = op(e2,e1)
      | e2 = op(e2,e0) )
    & ( e1 = op(e4,e2)
      | e1 = op(e3,e2)
      | e1 = op(e2,e2)
      | e1 = op(e1,e2)
      | e1 = op(e0,e2) )
    & ( e1 = op(e2,e4)
      | e1 = op(e2,e3)
      | e1 = op(e2,e2)
      | e1 = op(e2,e1)
      | e1 = op(e2,e0) )
    & ( e0 = op(e4,e2)
      | e0 = op(e3,e2)
      | e0 = op(e2,e2)
      | e0 = op(e1,e2)
      | e0 = op(e0,e2) )
    & ( e0 = op(e2,e4)
      | e0 = op(e2,e3)
      | e0 = op(e2,e2)
      | e0 = op(e2,e1)
      | e0 = op(e2,e0) )
    & ( e4 = op(e4,e1)
      | e4 = op(e3,e1)
      | e4 = op(e2,e1)
      | e4 = op(e1,e1)
      | e4 = op(e0,e1) )
    & ( e4 = op(e1,e4)
      | e4 = op(e1,e3)
      | e4 = op(e1,e2)
      | e4 = op(e1,e1)
      | e4 = op(e1,e0) )
    & ( e3 = op(e4,e1)
      | e3 = op(e3,e1)
      | e3 = op(e2,e1)
      | e3 = op(e1,e1)
      | e3 = op(e0,e1) )
    & ( e3 = op(e1,e4)
      | e3 = op(e1,e3)
      | e3 = op(e1,e2)
      | e3 = op(e1,e1)
      | e3 = op(e1,e0) )
    & ( e2 = op(e4,e1)
      | e2 = op(e3,e1)
      | e2 = op(e2,e1)
      | e2 = op(e1,e1)
      | e2 = op(e0,e1) )
    & ( e2 = op(e1,e4)
      | e2 = op(e1,e3)
      | e2 = op(e1,e2)
      | e2 = op(e1,e1)
      | e2 = op(e1,e0) )
    & ( e1 = op(e4,e1)
      | e1 = op(e3,e1)
      | e1 = op(e2,e1)
      | e1 = op(e1,e1)
      | e1 = op(e0,e1) )
    & ( e1 = op(e1,e4)
      | e1 = op(e1,e3)
      | e1 = op(e1,e2)
      | e1 = op(e1,e1)
      | e1 = op(e1,e0) )
    & ( e0 = op(e4,e1)
      | e0 = op(e3,e1)
      | e0 = op(e2,e1)
      | e0 = op(e1,e1)
      | e0 = op(e0,e1) )
    & ( e0 = op(e1,e4)
      | e0 = op(e1,e3)
      | e0 = op(e1,e2)
      | e0 = op(e1,e1)
      | e0 = op(e1,e0) )
    & ( e4 = op(e4,e0)
      | e4 = op(e3,e0)
      | e4 = op(e2,e0)
      | e4 = op(e1,e0)
      | e4 = op(e0,e0) )
    & ( e4 = op(e0,e4)
      | e4 = op(e0,e3)
      | e4 = op(e0,e2)
      | e4 = op(e0,e1)
      | e4 = op(e0,e0) )
    & ( e3 = op(e4,e0)
      | e3 = op(e3,e0)
      | e3 = op(e2,e0)
      | e3 = op(e1,e0)
      | e3 = op(e0,e0) )
    & ( e3 = op(e0,e4)
      | e3 = op(e0,e3)
      | e3 = op(e0,e2)
      | e3 = op(e0,e1)
      | e3 = op(e0,e0) )
    & ( e2 = op(e4,e0)
      | e2 = op(e3,e0)
      | e2 = op(e2,e0)
      | e2 = op(e1,e0)
      | e2 = op(e0,e0) )
    & ( e2 = op(e0,e4)
      | e2 = op(e0,e3)
      | e2 = op(e0,e2)
      | e2 = op(e0,e1)
      | e2 = op(e0,e0) )
    & ( e1 = op(e4,e0)
      | e1 = op(e3,e0)
      | e1 = op(e2,e0)
      | e1 = op(e1,e0)
      | e1 = op(e0,e0) )
    & ( e1 = op(e0,e4)
      | e1 = op(e0,e3)
      | e1 = op(e0,e2)
      | e1 = op(e0,e1)
      | e1 = op(e0,e0) )
    & ( e0 = op(e4,e0)
      | e0 = op(e3,e0)
      | e0 = op(e2,e0)
      | e0 = op(e1,e0)
      | e0 = op(e0,e0) )
    & ( e0 = op(e0,e4)
      | e0 = op(e0,e3)
      | e0 = op(e0,e2)
      | e0 = op(e0,e1)
      | e0 = op(e0,e0) )
    & ( e4 = unit
      | e3 = unit
      | e2 = unit
      | e1 = unit
      | e0 = unit )
    & e4 = op(e4,unit)
    & e4 = op(unit,e4)
    & e3 = op(e3,unit)
    & e3 = op(unit,e3)
    & e2 = op(e2,unit)
    & e2 = op(unit,e2)
    & e1 = op(e1,unit)
    & e1 = op(unit,e1)
    & e0 = op(e0,unit)
    & e0 = op(unit,e0)
    & ( e4 = op(e4,e4)
      | e3 = op(e4,e4)
      | e2 = op(e4,e4)
      | e1 = op(e4,e4)
      | e0 = op(e4,e4) )
    & ( e4 = op(e4,e3)
      | e3 = op(e4,e3)
      | e2 = op(e4,e3)
      | e1 = op(e4,e3)
      | e0 = op(e4,e3) )
    & ( e4 = op(e4,e2)
      | e3 = op(e4,e2)
      | e2 = op(e4,e2)
      | e1 = op(e4,e2)
      | e0 = op(e4,e2) )
    & ( e4 = op(e4,e1)
      | e3 = op(e4,e1)
      | e2 = op(e4,e1)
      | e1 = op(e4,e1)
      | e0 = op(e4,e1) )
    & ( e4 = op(e4,e0)
      | e3 = op(e4,e0)
      | e2 = op(e4,e0)
      | e1 = op(e4,e0)
      | e0 = op(e4,e0) )
    & ( e4 = op(e3,e4)
      | e3 = op(e3,e4)
      | e2 = op(e3,e4)
      | e1 = op(e3,e4)
      | e0 = op(e3,e4) )
    & ( e4 = op(e3,e3)
      | e3 = op(e3,e3)
      | e2 = op(e3,e3)
      | e1 = op(e3,e3)
      | e0 = op(e3,e3) )
    & ( e4 = op(e3,e2)
      | e3 = op(e3,e2)
      | e2 = op(e3,e2)
      | e1 = op(e3,e2)
      | e0 = op(e3,e2) )
    & ( e4 = op(e3,e1)
      | e3 = op(e3,e1)
      | e2 = op(e3,e1)
      | e1 = op(e3,e1)
      | e0 = op(e3,e1) )
    & ( e4 = op(e3,e0)
      | e3 = op(e3,e0)
      | e2 = op(e3,e0)
      | e1 = op(e3,e0)
      | e0 = op(e3,e0) )
    & ( e4 = op(e2,e4)
      | e3 = op(e2,e4)
      | e2 = op(e2,e4)
      | e1 = op(e2,e4)
      | e0 = op(e2,e4) )
    & ( e4 = op(e2,e3)
      | e3 = op(e2,e3)
      | e2 = op(e2,e3)
      | e1 = op(e2,e3)
      | e0 = op(e2,e3) )
    & ( e4 = op(e2,e2)
      | e3 = op(e2,e2)
      | e2 = op(e2,e2)
      | e1 = op(e2,e2)
      | e0 = op(e2,e2) )
    & ( e4 = op(e2,e1)
      | e3 = op(e2,e1)
      | e2 = op(e2,e1)
      | e1 = op(e2,e1)
      | e0 = op(e2,e1) )
    & ( e4 = op(e2,e0)
      | e3 = op(e2,e0)
      | e2 = op(e2,e0)
      | e1 = op(e2,e0)
      | e0 = op(e2,e0) )
    & ( e4 = op(e1,e4)
      | e3 = op(e1,e4)
      | e2 = op(e1,e4)
      | e1 = op(e1,e4)
      | e0 = op(e1,e4) )
    & ( e4 = op(e1,e3)
      | e3 = op(e1,e3)
      | e2 = op(e1,e3)
      | e1 = op(e1,e3)
      | e0 = op(e1,e3) )
    & ( e4 = op(e1,e2)
      | e3 = op(e1,e2)
      | e2 = op(e1,e2)
      | e1 = op(e1,e2)
      | e0 = op(e1,e2) )
    & ( e4 = op(e1,e1)
      | e3 = op(e1,e1)
      | e2 = op(e1,e1)
      | e1 = op(e1,e1)
      | e0 = op(e1,e1) )
    & ( e4 = op(e1,e0)
      | e3 = op(e1,e0)
      | e2 = op(e1,e0)
      | e1 = op(e1,e0)
      | e0 = op(e1,e0) )
    & ( e4 = op(e0,e4)
      | e3 = op(e0,e4)
      | e2 = op(e0,e4)
      | e1 = op(e0,e4)
      | e0 = op(e0,e4) )
    & ( e4 = op(e0,e3)
      | e3 = op(e0,e3)
      | e2 = op(e0,e3)
      | e1 = op(e0,e3)
      | e0 = op(e0,e3) )
    & ( e4 = op(e0,e2)
      | e3 = op(e0,e2)
      | e2 = op(e0,e2)
      | e1 = op(e0,e2)
      | e0 = op(e0,e2) )
    & ( e4 = op(e0,e1)
      | e3 = op(e0,e1)
      | e2 = op(e0,e1)
      | e1 = op(e0,e1)
      | e0 = op(e0,e1) )
    & ( e4 = op(e0,e0)
      | e3 = op(e0,e0)
      | e2 = op(e0,e0)
      | e1 = op(e0,e0)
      | e0 = op(e0,e0) )
    & ( ( e4 != op(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) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.L4op0ygCmH/Vampire---4.8_6725',co1) ).

fof(f1158,plain,
    ( ~ spl76_1
    | spl76_2
    | spl76_3 ),
    inference(avatar_split_clause,[],[f1145,f1155,f1151,f1147]) ).

fof(f1145,plain,
    ( e4 = unit
    | e1 = e2
    | ~ sP0 ),
    inference(forward_demodulation,[],[f1144,f611]) ).

fof(f1144,plain,
    ( e4 = op(e1,e3)
    | e1 = e2
    | ~ sP0 ),
    inference(forward_demodulation,[],[f1143,f186]) ).

fof(f1143,plain,
    ( e1 = e2
    | op(e1,e3) = op(e3,e1)
    | ~ sP0 ),
    inference(trivial_inequality_removal,[],[f1142]) ).

fof(f1142,plain,
    ( e3 != e3
    | e1 = e2
    | op(e1,e3) = op(e3,e1)
    | ~ sP0 ),
    inference(forward_demodulation,[],[f1141,f191]) ).

fof(f1141,plain,
    ( e3 != op(e4,e1)
    | e1 = e2
    | op(e1,e3) = op(e3,e1)
    | ~ sP0 ),
    inference(forward_demodulation,[],[f1140,f186]) ).

fof(f1140,plain,
    ( e1 = e2
    | e3 != op(op(e3,e1),e1)
    | op(e1,e3) = op(e3,e1)
    | ~ sP0 ),
    inference(forward_demodulation,[],[f1139,f193]) ).

fof(f1139,plain,
    ( e1 = op(e4,e3)
    | e3 != op(op(e3,e1),e1)
    | op(e1,e3) = op(e3,e1)
    | ~ sP0 ),
    inference(forward_demodulation,[],[f587,f186]) ).

fof(f587,plain,
    ( e1 = op(op(e3,e1),e3)
    | e3 != op(op(e3,e1),e1)
    | op(e1,e3) = op(e3,e1)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,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) ) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ALG095+1 : TPTP v8.1.2. Released v2.7.0.
% 0.14/0.14  % 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 : n025.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
% 0.22/0.36  % CPULimit   : 300
% 0.22/0.36  % WCLimit    : 300
% 0.22/0.36  % DateTime   : Fri May  3 20:00:23 EDT 2024
% 0.22/0.36  % CPUTime    : 
% 0.22/0.36  This is a FOF_THM_RFO_PEQ problem
% 0.22/0.36  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.L4op0ygCmH/Vampire---4.8_6725
% 0.60/0.76  % (7005)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)
% 0.60/0.76  % (7007)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76  % (7008)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)
% 0.60/0.76  % (7006)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)
% 0.60/0.76  % (7009)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)
% 0.60/0.76  % (7010)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)
% 0.60/0.76  % (7011)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)
% 0.60/0.76  % (7012)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)
% 0.60/0.77  % (7005)Refutation not found, incomplete strategy% (7005)------------------------------
% 0.60/0.77  % (7005)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (7005)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (7005)Memory used [KB]: 1782
% 0.60/0.77  % (7005)Time elapsed: 0.010 s
% 0.60/0.77  % (7005)Instructions burned: 32 (million)
% 0.60/0.77  % (7005)------------------------------
% 0.60/0.77  % (7005)------------------------------
% 0.60/0.77  % (7009)Refutation not found, incomplete strategy% (7009)------------------------------
% 0.60/0.77  % (7009)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (7009)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (7009)Memory used [KB]: 1499
% 0.60/0.77  % (7009)Time elapsed: 0.012 s
% 0.60/0.77  % (7009)Instructions burned: 22 (million)
% 0.60/0.77  % (7009)------------------------------
% 0.60/0.77  % (7009)------------------------------
% 0.60/0.77  % (7013)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.77  % (7012)Refutation not found, incomplete strategy% (7012)------------------------------
% 0.60/0.77  % (7012)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (7006)First to succeed.
% 0.60/0.77  % (7012)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (7012)Memory used [KB]: 1506
% 0.60/0.77  % (7012)Time elapsed: 0.016 s
% 0.60/0.77  % (7012)Instructions burned: 31 (million)
% 0.60/0.77  % (7010)Refutation not found, incomplete strategy% (7010)------------------------------
% 0.60/0.77  % (7010)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (7010)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (7010)Memory used [KB]: 1471
% 0.60/0.77  % (7010)Time elapsed: 0.016 s
% 0.60/0.77  % (7010)Instructions burned: 32 (million)
% 0.60/0.77  % (7012)------------------------------
% 0.60/0.77  % (7012)------------------------------
% 0.60/0.77  % (7007)Also succeeded, but the first one will report.
% 0.60/0.77  % (7010)------------------------------
% 0.60/0.77  % (7010)------------------------------
% 0.60/0.77  % (7008)Also succeeded, but the first one will report.
% 0.60/0.77  % (7014)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.78  % (7016)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.60/0.78  % (7017)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  % (7018)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)
% 0.60/0.78  % (7015)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.79  % (7011)Also succeeded, but the first one will report.
% 0.60/0.79  % (7006)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6991"
% 0.60/0.79  % (7006)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Theorem for Vampire---4
% 0.60/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80  % (7006)------------------------------
% 0.60/0.80  % (7006)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (7006)Termination reason: Refutation
% 0.60/0.80  
% 0.60/0.80  % (7006)Memory used [KB]: 1452
% 0.60/0.80  % (7006)Time elapsed: 0.030 s
% 0.60/0.80  % (7006)Instructions burned: 59 (million)
% 0.60/0.80  % (6991)Success in time 0.426 s
% 0.60/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------