TSTP Solution File: ALG142+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG142+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 15:43:03 EDT 2022

% Result   : Unsatisfiable 1.82s 0.59s
% Output   : Refutation 1.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   91
% Syntax   : Number of formulae    :  643 (  45 unt;   0 def)
%            Number of atoms       : 1895 ( 892 equ)
%            Maximal formula atoms :  128 (   2 avg)
%            Number of connectives : 2165 ( 913   ~;1024   |; 152   &)
%                                         (  76 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   82 (  80 usr;  81 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1789,plain,
    $false,
    inference(avatar_sat_refutation,[],[f262,f292,f309,f326,f339,f356,f373,f395,f426,f462,f475,f489,f503,f509,f544,f550,f560,f570,f576,f582,f583,f584,f593,f598,f600,f605,f608,f609,f624,f625,f628,f629,f630,f639,f640,f641,f648,f650,f653,f654,f655,f656,f657,f659,f660,f662,f663,f664,f669,f670,f672,f678,f679,f680,f681,f682,f683,f690,f691,f692,f693,f694,f695,f696,f698,f700,f701,f702,f705,f708,f716,f717,f719,f720,f731,f732,f738,f741,f742,f751,f753,f754,f760,f770,f778,f779,f785,f786,f792,f794,f799,f814,f826,f832,f838,f844,f849,f856,f859,f869,f878,f887,f890,f896,f899,f901,f906,f914,f930,f934,f937,f947,f950,f952,f986,f990,f993,f997,f1002,f1010,f1013,f1022,f1028,f1046,f1057,f1084,f1085,f1090,f1096,f1098,f1104,f1108,f1111,f1112,f1117,f1125,f1128,f1135,f1154,f1160,f1171,f1180,f1215,f1236,f1239,f1277,f1278,f1285,f1286,f1300,f1332,f1339,f1346,f1362,f1384,f1391,f1414,f1418,f1423,f1432,f1463,f1485,f1489,f1500,f1503,f1508,f1510,f1511,f1527,f1530,f1557,f1571,f1579,f1581,f1588,f1594,f1595,f1598,f1630,f1656,f1663,f1671,f1675,f1677,f1684,f1692,f1703,f1714,f1719,f1727,f1756,f1759,f1769,f1772,f1774,f1776]) ).

fof(f1776,plain,
    ( ~ spl4_58
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1775,f506,f477]) ).

fof(f477,plain,
    ( spl4_58
  <=> e0 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_58])]) ).

fof(f506,plain,
    ( spl4_64
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_64])]) ).

fof(f1775,plain,
    ( e0 != op(e3,e2)
    | ~ spl4_64 ),
    inference(forward_demodulation,[],[f135,f508]) ).

fof(f508,plain,
    ( e0 = op(e3,e3)
    | ~ spl4_64 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f135,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( op(e0,e3) != op(e3,e3)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e3) != op(e2,e3)
    & op(e2,e1) != op(e2,e3)
    & op(e0,e2) != op(e0,e3)
    & op(e2,e1) != op(e3,e1)
    & op(e3,e0) != op(e3,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e0,e3) != op(e1,e3)
    & op(e0,e2) != op(e1,e2)
    & op(e2,e0) != op(e2,e1)
    & op(e0,e2) != op(e3,e2)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e2,e2) != op(e2,e3)
    & op(e1,e0) != op(e3,e0)
    & op(e0,e1) != op(e0,e3)
    & op(e1,e0) != op(e2,e0)
    & op(e1,e1) != op(e2,e1)
    & op(e0,e0) != op(e0,e3)
    & op(e3,e2) != op(e3,e3)
    & op(e1,e1) != op(e1,e3)
    & op(e3,e0) != op(e3,e1)
    & op(e0,e0) != op(e0,e1)
    & op(e0,e0) != op(e2,e0)
    & op(e2,e0) != op(e3,e0)
    & op(e2,e2) != op(e3,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e1) != op(e0,e2)
    & op(e3,e1) != op(e3,e3)
    & op(e0,e1) != op(e1,e1)
    & op(e0,e0) != op(e1,e0)
    & op(e0,e1) != op(e3,e1)
    & op(e1,e0) != op(e1,e1)
    & op(e1,e3) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e1,e3) != op(e3,e3)
    & op(e3,e0) != op(e3,e2)
    & op(e0,e1) != op(e2,e1)
    & op(e2,e3) != op(e3,e3)
    & op(e1,e2) != op(e1,e3)
    & op(e1,e1) != op(e3,e1)
    & op(e2,e0) != op(e2,e3)
    & op(e0,e0) != op(e3,e0)
    & op(e2,e0) != op(e2,e2)
    & op(e3,e1) != op(e3,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(f1774,plain,
    ( ~ spl4_6
    | spl4_39
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f1773,f506,f392,f251]) ).

fof(f251,plain,
    ( spl4_6
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f392,plain,
    ( spl4_39
  <=> e1 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_39])]) ).

fof(f1773,plain,
    ( e1 != op(e0,e3)
    | spl4_39
    | ~ spl4_64 ),
    inference(forward_demodulation,[],[f394,f508]) ).

fof(f394,plain,
    ( e1 != op(op(e3,e3),e3)
    | spl4_39 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f1772,plain,
    ( ~ spl4_7
    | ~ spl4_81 ),
    inference(avatar_contradiction_clause,[],[f1771]) ).

fof(f1771,plain,
    ( $false
    | ~ spl4_7
    | ~ spl4_81 ),
    inference(subsumption_resolution,[],[f1770,f166]) ).

fof(f166,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( e2 != e3
    & e0 != e1
    & e1 != e3
    & e0 != e2
    & e0 != e3
    & e1 != e2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

fof(f1770,plain,
    ( e1 = e3
    | ~ spl4_7
    | ~ spl4_81 ),
    inference(forward_demodulation,[],[f592,f257]) ).

fof(f257,plain,
    ( e1 = op(e1,e3)
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f255,plain,
    ( spl4_7
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f592,plain,
    ( e3 = op(e1,e3)
    | ~ spl4_81 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f590,plain,
    ( spl4_81
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_81])]) ).

fof(f1769,plain,
    ( ~ spl4_32
    | ~ spl4_71 ),
    inference(avatar_contradiction_clause,[],[f1768]) ).

fof(f1768,plain,
    ( $false
    | ~ spl4_32
    | ~ spl4_71 ),
    inference(subsumption_resolution,[],[f1767,f167]) ).

fof(f167,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f4]) ).

fof(f1767,plain,
    ( e0 = e1
    | ~ spl4_32
    | ~ spl4_71 ),
    inference(forward_demodulation,[],[f539,f364]) ).

fof(f364,plain,
    ( e0 = op(e2,e0)
    | ~ spl4_32 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f362,plain,
    ( spl4_32
  <=> e0 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).

fof(f539,plain,
    ( e1 = op(e2,e0)
    | ~ spl4_71 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f537,plain,
    ( spl4_71
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_71])]) ).

fof(f1759,plain,
    ( ~ spl4_6
    | ~ spl4_7 ),
    inference(avatar_split_clause,[],[f1758,f255,f251]) ).

fof(f1758,plain,
    ( e1 != op(e0,e3)
    | ~ spl4_7 ),
    inference(forward_demodulation,[],[f149,f257]) ).

fof(f149,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1756,plain,
    ( ~ spl4_3
    | ~ spl4_16 ),
    inference(avatar_contradiction_clause,[],[f1755]) ).

fof(f1755,plain,
    ( $false
    | ~ spl4_3
    | ~ spl4_16 ),
    inference(subsumption_resolution,[],[f1754,f168]) ).

fof(f168,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f1754,plain,
    ( e2 = e3
    | ~ spl4_3
    | ~ spl4_16 ),
    inference(backward_demodulation,[],[f239,f296]) ).

fof(f296,plain,
    ( e2 = op(e3,e2)
    | ~ spl4_16 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f294,plain,
    ( spl4_16
  <=> e2 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).

fof(f239,plain,
    ( e3 = op(e3,e2)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl4_3
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f1727,plain,
    ( ~ spl4_90
    | ~ spl4_72 ),
    inference(avatar_split_clause,[],[f1726,f541,f666]) ).

fof(f666,plain,
    ( spl4_90
  <=> e1 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_90])]) ).

fof(f541,plain,
    ( spl4_72
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_72])]) ).

fof(f1726,plain,
    ( e1 != op(e0,e2)
    | ~ spl4_72 ),
    inference(forward_demodulation,[],[f128,f543]) ).

fof(f543,plain,
    ( e1 = op(e2,e2)
    | ~ spl4_72 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f128,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1719,plain,
    ( ~ spl4_63
    | ~ spl4_41 ),
    inference(avatar_split_clause,[],[f1715,f401,f500]) ).

fof(f500,plain,
    ( spl4_63
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_63])]) ).

fof(f401,plain,
    ( spl4_41
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_41])]) ).

fof(f1715,plain,
    ( e2 != op(e2,e1)
    | ~ spl4_41 ),
    inference(backward_demodulation,[],[f137,f402]) ).

fof(f402,plain,
    ( e2 = op(e1,e1)
    | ~ spl4_41 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f137,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1714,plain,
    ( ~ spl4_52
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f1713,f482,f451]) ).

fof(f451,plain,
    ( spl4_52
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_52])]) ).

fof(f482,plain,
    ( spl4_59
  <=> e2 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_59])]) ).

fof(f1713,plain,
    ( e2 != op(e2,e3)
    | ~ spl4_59 ),
    inference(backward_demodulation,[],[f155,f484]) ).

fof(f484,plain,
    ( e2 = op(e0,e3)
    | ~ spl4_59 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f155,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1703,plain,
    ( ~ spl4_86
    | ~ spl4_35 ),
    inference(avatar_split_clause,[],[f1694,f375,f621]) ).

fof(f621,plain,
    ( spl4_86
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_86])]) ).

fof(f375,plain,
    ( spl4_35
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).

fof(f1694,plain,
    ( e3 != op(e0,e3)
    | ~ spl4_35 ),
    inference(backward_demodulation,[],[f136,f376]) ).

fof(f376,plain,
    ( op(e0,e0) = e3
    | ~ spl4_35 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f136,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1692,plain,
    ( ~ spl4_70
    | ~ spl4_72 ),
    inference(avatar_split_clause,[],[f1691,f541,f533]) ).

fof(f533,plain,
    ( spl4_70
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_70])]) ).

fof(f1691,plain,
    ( e1 != op(e2,e1)
    | ~ spl4_72 ),
    inference(forward_demodulation,[],[f120,f543]) ).

fof(f120,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1684,plain,
    ( ~ spl4_41
    | ~ spl4_15 ),
    inference(avatar_split_clause,[],[f1683,f289,f401]) ).

fof(f289,plain,
    ( spl4_15
  <=> e2 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).

fof(f1683,plain,
    ( e2 != op(e1,e1)
    | ~ spl4_15 ),
    inference(forward_demodulation,[],[f122,f291]) ).

fof(f291,plain,
    ( e2 = op(e1,e0)
    | ~ spl4_15 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f122,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1677,plain,
    ( ~ spl4_55
    | ~ spl4_15 ),
    inference(avatar_split_clause,[],[f1676,f289,f464]) ).

fof(f464,plain,
    ( spl4_55
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_55])]) ).

fof(f1676,plain,
    ( e2 != op(e1,e2)
    | ~ spl4_15 ),
    inference(backward_demodulation,[],[f145,f291]) ).

fof(f145,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1675,plain,
    ( ~ spl4_51
    | ~ spl4_72 ),
    inference(avatar_split_clause,[],[f1649,f541,f446]) ).

fof(f446,plain,
    ( spl4_51
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_51])]) ).

fof(f1649,plain,
    ( e1 != op(e1,e2)
    | ~ spl4_72 ),
    inference(forward_demodulation,[],[f142,f543]) ).

fof(f142,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1671,plain,
    ( ~ spl4_16
    | ~ spl4_18 ),
    inference(avatar_split_clause,[],[f1670,f302,f294]) ).

fof(f302,plain,
    ( spl4_18
  <=> e2 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).

fof(f1670,plain,
    ( e2 != op(e3,e2)
    | ~ spl4_18 ),
    inference(forward_demodulation,[],[f118,f304]) ).

fof(f304,plain,
    ( e2 = op(e3,e0)
    | ~ spl4_18 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f118,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1663,plain,
    ( ~ spl4_22
    | ~ spl4_33 ),
    inference(avatar_contradiction_clause,[],[f1662]) ).

fof(f1662,plain,
    ( $false
    | ~ spl4_22
    | ~ spl4_33 ),
    inference(subsumption_resolution,[],[f1661,f321]) ).

fof(f321,plain,
    ( e0 = op(e0,e1)
    | ~ spl4_22 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f319,plain,
    ( spl4_22
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).

fof(f1661,plain,
    ( e0 != op(e0,e1)
    | ~ spl4_33 ),
    inference(forward_demodulation,[],[f117,f368]) ).

fof(f368,plain,
    ( e0 = op(e2,e1)
    | ~ spl4_33 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f366,plain,
    ( spl4_33
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).

fof(f117,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1656,plain,
    ( ~ spl4_16
    | ~ spl4_58 ),
    inference(avatar_contradiction_clause,[],[f1655]) ).

fof(f1655,plain,
    ( $false
    | ~ spl4_16
    | ~ spl4_58 ),
    inference(subsumption_resolution,[],[f1654,f165]) ).

fof(f165,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f1654,plain,
    ( e0 = e2
    | ~ spl4_16
    | ~ spl4_58 ),
    inference(forward_demodulation,[],[f296,f479]) ).

fof(f479,plain,
    ( e0 = op(e3,e2)
    | ~ spl4_58 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f1630,plain,
    ( ~ spl4_26
    | spl4_45
    | ~ spl4_64 ),
    inference(avatar_contradiction_clause,[],[f1629]) ).

fof(f1629,plain,
    ( $false
    | ~ spl4_26
    | spl4_45
    | ~ spl4_64 ),
    inference(subsumption_resolution,[],[f1626,f338]) ).

fof(f338,plain,
    ( e1 = op(e3,e0)
    | ~ spl4_26 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f336,plain,
    ( spl4_26
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).

fof(f1626,plain,
    ( e1 != op(e3,e0)
    | spl4_45
    | ~ spl4_64 ),
    inference(backward_demodulation,[],[f421,f508]) ).

fof(f421,plain,
    ( e1 != op(e3,op(e3,e3))
    | spl4_45 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f419,plain,
    ( spl4_45
  <=> e1 = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_45])]) ).

fof(f1598,plain,
    ( ~ spl4_34
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f1597,f477,f370]) ).

fof(f370,plain,
    ( spl4_34
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).

fof(f1597,plain,
    ( e0 != op(e2,e2)
    | ~ spl4_58 ),
    inference(forward_demodulation,[],[f129,f479]) ).

fof(f129,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1595,plain,
    ( ~ spl4_52
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1593,f496,f451]) ).

fof(f496,plain,
    ( spl4_62
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_62])]) ).

fof(f1593,plain,
    ( e2 != op(e2,e3)
    | ~ spl4_62 ),
    inference(backward_demodulation,[],[f113,f498]) ).

fof(f498,plain,
    ( e2 = op(e2,e0)
    | ~ spl4_62 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f113,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1594,plain,
    ( ~ spl4_4
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1592,f496,f242]) ).

fof(f242,plain,
    ( spl4_4
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f1592,plain,
    ( e2 != op(e2,e2)
    | ~ spl4_62 ),
    inference(backward_demodulation,[],[f111,f498]) ).

fof(f111,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1588,plain,
    ( ~ spl4_8
    | ~ spl4_26 ),
    inference(avatar_split_clause,[],[f1587,f336,f259]) ).

fof(f259,plain,
    ( spl4_8
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f1587,plain,
    ( e1 != op(e3,e3)
    | ~ spl4_26 ),
    inference(forward_demodulation,[],[f151,f338]) ).

fof(f151,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1581,plain,
    ( ~ spl4_27
    | ~ spl4_85 ),
    inference(avatar_split_clause,[],[f1580,f617,f341]) ).

fof(f341,plain,
    ( spl4_27
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).

fof(f617,plain,
    ( spl4_85
  <=> e3 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_85])]) ).

fof(f1580,plain,
    ( e3 != op(e2,e2)
    | ~ spl4_85 ),
    inference(forward_demodulation,[],[f128,f619]) ).

fof(f619,plain,
    ( e3 = op(e0,e2)
    | ~ spl4_85 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f1579,plain,
    ( ~ spl4_21
    | ~ spl4_11 ),
    inference(avatar_split_clause,[],[f1578,f272,f315]) ).

fof(f315,plain,
    ( spl4_21
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).

fof(f272,plain,
    ( spl4_11
  <=> op(e0,e0) = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).

fof(f1578,plain,
    ( e2 != op(e0,e1)
    | ~ spl4_11 ),
    inference(forward_demodulation,[],[f132,f273]) ).

fof(f273,plain,
    ( op(e0,e0) = e2
    | ~ spl4_11 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f132,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1571,plain,
    ( ~ spl4_51
    | ~ spl4_55 ),
    inference(avatar_contradiction_clause,[],[f1570]) ).

fof(f1570,plain,
    ( $false
    | ~ spl4_51
    | ~ spl4_55 ),
    inference(subsumption_resolution,[],[f1569,f163]) ).

fof(f163,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f1569,plain,
    ( e1 = e2
    | ~ spl4_51
    | ~ spl4_55 ),
    inference(forward_demodulation,[],[f466,f447]) ).

fof(f447,plain,
    ( e1 = op(e1,e2)
    | ~ spl4_51 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f466,plain,
    ( e2 = op(e1,e2)
    | ~ spl4_55 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f1557,plain,
    ( ~ spl4_28
    | ~ spl4_71 ),
    inference(avatar_contradiction_clause,[],[f1556]) ).

fof(f1556,plain,
    ( $false
    | ~ spl4_28
    | ~ spl4_71 ),
    inference(subsumption_resolution,[],[f1555,f166]) ).

fof(f1555,plain,
    ( e1 = e3
    | ~ spl4_28
    | ~ spl4_71 ),
    inference(backward_demodulation,[],[f347,f539]) ).

fof(f347,plain,
    ( e3 = op(e2,e0)
    | ~ spl4_28 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f345,plain,
    ( spl4_28
  <=> e3 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).

fof(f1530,plain,
    ( ~ spl4_8
    | ~ spl4_54 ),
    inference(avatar_contradiction_clause,[],[f1529]) ).

fof(f1529,plain,
    ( $false
    | ~ spl4_8
    | ~ spl4_54 ),
    inference(subsumption_resolution,[],[f1528,f166]) ).

fof(f1528,plain,
    ( e1 = e3
    | ~ spl4_8
    | ~ spl4_54 ),
    inference(forward_demodulation,[],[f460,f261]) ).

fof(f261,plain,
    ( e1 = op(e3,e3)
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f460,plain,
    ( e3 = op(e3,e3)
    | ~ spl4_54 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f459,plain,
    ( spl4_54
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_54])]) ).

fof(f1527,plain,
    ( ~ spl4_12
    | ~ spl4_26 ),
    inference(avatar_split_clause,[],[f1525,f336,f277]) ).

fof(f277,plain,
    ( spl4_12
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).

fof(f1525,plain,
    ( e1 != op(e1,e0)
    | ~ spl4_26 ),
    inference(backward_demodulation,[],[f140,f338]) ).

fof(f140,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1511,plain,
    ( ~ spl4_33
    | ~ spl4_34 ),
    inference(avatar_split_clause,[],[f1396,f370,f366]) ).

fof(f1396,plain,
    ( e0 != op(e2,e1)
    | ~ spl4_34 ),
    inference(forward_demodulation,[],[f120,f372]) ).

fof(f372,plain,
    ( e0 = op(e2,e2)
    | ~ spl4_34 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f1510,plain,
    ( ~ spl4_85
    | ~ spl4_11
    | spl4_82 ),
    inference(avatar_split_clause,[],[f1509,f595,f272,f617]) ).

fof(f595,plain,
    ( spl4_82
  <=> e3 = op(e0,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_82])]) ).

fof(f1509,plain,
    ( e3 != op(e0,e2)
    | ~ spl4_11
    | spl4_82 ),
    inference(forward_demodulation,[],[f597,f273]) ).

fof(f597,plain,
    ( e3 != op(e0,op(e0,e0))
    | spl4_82 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f1508,plain,
    ( ~ spl4_22
    | ~ spl4_83 ),
    inference(avatar_split_clause,[],[f1507,f602,f319]) ).

fof(f602,plain,
    ( spl4_83
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_83])]) ).

fof(f1507,plain,
    ( e0 != op(e0,e1)
    | ~ spl4_83 ),
    inference(forward_demodulation,[],[f139,f604]) ).

fof(f604,plain,
    ( e0 = op(e0,e3)
    | ~ spl4_83 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f139,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1503,plain,
    ( ~ spl4_15
    | ~ spl4_11 ),
    inference(avatar_split_clause,[],[f1502,f272,f289]) ).

fof(f1502,plain,
    ( e2 != op(e1,e0)
    | ~ spl4_11 ),
    inference(forward_demodulation,[],[f124,f273]) ).

fof(f124,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1500,plain,
    ( ~ spl4_18
    | ~ spl4_11 ),
    inference(avatar_split_clause,[],[f1499,f272,f302]) ).

fof(f1499,plain,
    ( e2 != op(e3,e0)
    | ~ spl4_11 ),
    inference(forward_demodulation,[],[f112,f273]) ).

fof(f112,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1489,plain,
    ( ~ spl4_32
    | ~ spl4_24 ),
    inference(avatar_split_clause,[],[f1488,f328,f362]) ).

fof(f328,plain,
    ( spl4_24
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).

fof(f1488,plain,
    ( e0 != op(e2,e0)
    | ~ spl4_24 ),
    inference(forward_demodulation,[],[f130,f330]) ).

fof(f330,plain,
    ( e0 = op(e3,e0)
    | ~ spl4_24 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f130,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1485,plain,
    ( ~ spl4_32
    | ~ spl4_34 ),
    inference(avatar_split_clause,[],[f1484,f370,f362]) ).

fof(f1484,plain,
    ( e0 != op(e2,e0)
    | ~ spl4_34 ),
    inference(forward_demodulation,[],[f111,f372]) ).

fof(f1463,plain,
    ( ~ spl4_56
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f1358,f238,f468]) ).

fof(f468,plain,
    ( spl4_56
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_56])]) ).

fof(f1358,plain,
    ( e3 != op(e1,e2)
    | ~ spl4_3 ),
    inference(forward_demodulation,[],[f143,f239]) ).

fof(f143,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1432,plain,
    ( ~ spl4_80
    | ~ spl4_8
    | spl4_46 ),
    inference(avatar_split_clause,[],[f1431,f423,f259,f586]) ).

fof(f586,plain,
    ( spl4_80
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_80])]) ).

fof(f423,plain,
    ( spl4_46
  <=> e0 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_46])]) ).

fof(f1431,plain,
    ( e0 != op(e1,e3)
    | ~ spl4_8
    | spl4_46 ),
    inference(forward_demodulation,[],[f425,f261]) ).

fof(f425,plain,
    ( e0 != op(op(e3,e3),e3)
    | spl4_46 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f1423,plain,
    ( ~ spl4_56
    | ~ spl4_75 ),
    inference(avatar_split_clause,[],[f1421,f556,f468]) ).

fof(f556,plain,
    ( spl4_75
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_75])]) ).

fof(f1421,plain,
    ( e3 != op(e1,e2)
    | ~ spl4_75 ),
    inference(backward_demodulation,[],[f150,f558]) ).

fof(f558,plain,
    ( e3 = op(e1,e1)
    | ~ spl4_75 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f150,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1418,plain,
    ( ~ spl4_17
    | ~ spl4_8
    | spl4_77 ),
    inference(avatar_split_clause,[],[f1417,f567,f259,f298]) ).

fof(f298,plain,
    ( spl4_17
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).

fof(f567,plain,
    ( spl4_77
  <=> e2 = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_77])]) ).

fof(f1417,plain,
    ( e2 != op(e3,e1)
    | ~ spl4_8
    | spl4_77 ),
    inference(forward_demodulation,[],[f569,f261]) ).

fof(f569,plain,
    ( e2 != op(e3,op(e3,e3))
    | spl4_77 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f1414,plain,
    ( ~ spl4_6
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f1413,f259,f251]) ).

fof(f1413,plain,
    ( e1 != op(e0,e3)
    | ~ spl4_8 ),
    inference(forward_demodulation,[],[f157,f261]) ).

fof(f157,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1391,plain,
    ( ~ spl4_87
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f1390,f259,f632]) ).

fof(f632,plain,
    ( spl4_87
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_87])]) ).

fof(f1390,plain,
    ( e1 != op(e3,e1)
    | ~ spl4_8 ),
    inference(backward_demodulation,[],[f126,f261]) ).

fof(f126,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1384,plain,
    ( ~ spl4_87
    | ~ spl4_70 ),
    inference(avatar_split_clause,[],[f1383,f533,f632]) ).

fof(f1383,plain,
    ( e1 != op(e3,e1)
    | ~ spl4_70 ),
    inference(forward_demodulation,[],[f152,f535]) ).

fof(f535,plain,
    ( e1 = op(e2,e1)
    | ~ spl4_70 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f152,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1362,plain,
    ( ~ spl4_41
    | ~ spl4_75 ),
    inference(avatar_contradiction_clause,[],[f1361]) ).

fof(f1361,plain,
    ( $false
    | ~ spl4_41
    | ~ spl4_75 ),
    inference(subsumption_resolution,[],[f1360,f168]) ).

fof(f1360,plain,
    ( e2 = e3
    | ~ spl4_41
    | ~ spl4_75 ),
    inference(backward_demodulation,[],[f558,f402]) ).

fof(f1346,plain,
    ( ~ spl4_85
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f1345,f238,f617]) ).

fof(f1345,plain,
    ( e3 != op(e0,e2)
    | ~ spl4_3 ),
    inference(backward_demodulation,[],[f146,f239]) ).

fof(f146,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1339,plain,
    ( ~ spl4_8
    | ~ spl4_64 ),
    inference(avatar_contradiction_clause,[],[f1338]) ).

fof(f1338,plain,
    ( $false
    | ~ spl4_8
    | ~ spl4_64 ),
    inference(subsumption_resolution,[],[f1337,f167]) ).

fof(f1337,plain,
    ( e0 = e1
    | ~ spl4_8
    | ~ spl4_64 ),
    inference(forward_demodulation,[],[f261,f508]) ).

fof(f1332,plain,
    ( ~ spl4_18
    | ~ spl4_64
    | spl4_77 ),
    inference(avatar_contradiction_clause,[],[f1331]) ).

fof(f1331,plain,
    ( $false
    | ~ spl4_18
    | ~ spl4_64
    | spl4_77 ),
    inference(subsumption_resolution,[],[f1326,f304]) ).

fof(f1326,plain,
    ( e2 != op(e3,e0)
    | ~ spl4_64
    | spl4_77 ),
    inference(backward_demodulation,[],[f569,f508]) ).

fof(f1300,plain,
    ( ~ spl4_23
    | ~ spl4_75 ),
    inference(avatar_split_clause,[],[f1299,f556,f323]) ).

fof(f323,plain,
    ( spl4_23
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).

fof(f1299,plain,
    ( e3 != op(e0,e1)
    | ~ spl4_75 ),
    inference(forward_demodulation,[],[f125,f558]) ).

fof(f125,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1286,plain,
    ( ~ spl4_70
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f1149,f247,f533]) ).

fof(f247,plain,
    ( spl4_5
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f1149,plain,
    ( e1 != op(e2,e1)
    | ~ spl4_5 ),
    inference(forward_demodulation,[],[f154,f249]) ).

fof(f249,plain,
    ( e1 = op(e2,e3)
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f154,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1285,plain,
    ( ~ spl4_63
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f1284,f242,f500]) ).

fof(f1284,plain,
    ( e2 != op(e2,e1)
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f120,f243]) ).

fof(f243,plain,
    ( e2 = op(e2,e2)
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f1278,plain,
    ( ~ spl4_29
    | ~ spl4_75 ),
    inference(avatar_split_clause,[],[f1275,f556,f349]) ).

fof(f349,plain,
    ( spl4_29
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).

fof(f1275,plain,
    ( e3 != op(e2,e1)
    | ~ spl4_75 ),
    inference(backward_demodulation,[],[f137,f558]) ).

fof(f1277,plain,
    ( ~ spl4_81
    | ~ spl4_75 ),
    inference(avatar_split_clause,[],[f1276,f556,f590]) ).

fof(f1276,plain,
    ( e3 != op(e1,e3)
    | ~ spl4_75 ),
    inference(backward_demodulation,[],[f134,f558]) ).

fof(f134,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1239,plain,
    ( ~ spl4_73
    | ~ spl4_85 ),
    inference(avatar_contradiction_clause,[],[f1238]) ).

fof(f1238,plain,
    ( $false
    | ~ spl4_73
    | ~ spl4_85 ),
    inference(subsumption_resolution,[],[f1237,f168]) ).

fof(f1237,plain,
    ( e2 = e3
    | ~ spl4_73
    | ~ spl4_85 ),
    inference(forward_demodulation,[],[f619,f548]) ).

fof(f548,plain,
    ( e2 = op(e0,e2)
    | ~ spl4_73 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f546,plain,
    ( spl4_73
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_73])]) ).

fof(f1236,plain,
    ( ~ spl4_83
    | ~ spl4_86 ),
    inference(avatar_contradiction_clause,[],[f1235]) ).

fof(f1235,plain,
    ( $false
    | ~ spl4_83
    | ~ spl4_86 ),
    inference(subsumption_resolution,[],[f1232,f164]) ).

fof(f164,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f1232,plain,
    ( e0 = e3
    | ~ spl4_83
    | ~ spl4_86 ),
    inference(backward_demodulation,[],[f623,f604]) ).

fof(f623,plain,
    ( e3 = op(e0,e3)
    | ~ spl4_86 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f1215,plain,
    ( ~ spl4_74
    | ~ spl4_75 ),
    inference(avatar_contradiction_clause,[],[f1214]) ).

fof(f1214,plain,
    ( $false
    | ~ spl4_74
    | ~ spl4_75 ),
    inference(subsumption_resolution,[],[f1213,f166]) ).

fof(f1213,plain,
    ( e1 = e3
    | ~ spl4_74
    | ~ spl4_75 ),
    inference(backward_demodulation,[],[f558,f554]) ).

fof(f554,plain,
    ( e1 = op(e1,e1)
    | ~ spl4_74 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f552,plain,
    ( spl4_74
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_74])]) ).

fof(f1180,plain,
    ( ~ spl4_21
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f1132,f500,f315]) ).

fof(f1132,plain,
    ( e2 != op(e0,e1)
    | ~ spl4_63 ),
    inference(forward_demodulation,[],[f117,f502]) ).

fof(f502,plain,
    ( e2 = op(e2,e1)
    | ~ spl4_63 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f1171,plain,
    ( ~ spl4_32
    | ~ spl4_62 ),
    inference(avatar_contradiction_clause,[],[f1170]) ).

fof(f1170,plain,
    ( $false
    | ~ spl4_32
    | ~ spl4_62 ),
    inference(subsumption_resolution,[],[f1168,f165]) ).

fof(f1168,plain,
    ( e0 = e2
    | ~ spl4_32
    | ~ spl4_62 ),
    inference(backward_demodulation,[],[f498,f364]) ).

fof(f1160,plain,
    ( ~ spl4_43
    | ~ spl4_80 ),
    inference(avatar_contradiction_clause,[],[f1159]) ).

fof(f1159,plain,
    ( $false
    | ~ spl4_43
    | ~ spl4_80 ),
    inference(subsumption_resolution,[],[f1158,f411]) ).

fof(f411,plain,
    ( e0 = op(e1,e1)
    | ~ spl4_43 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f410,plain,
    ( spl4_43
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_43])]) ).

fof(f1158,plain,
    ( e0 != op(e1,e1)
    | ~ spl4_80 ),
    inference(forward_demodulation,[],[f134,f588]) ).

fof(f588,plain,
    ( e0 = op(e1,e3)
    | ~ spl4_80 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f1154,plain,
    ( ~ spl4_66
    | ~ spl4_92 ),
    inference(avatar_contradiction_clause,[],[f1153]) ).

fof(f1153,plain,
    ( $false
    | ~ spl4_66
    | ~ spl4_92 ),
    inference(subsumption_resolution,[],[f1151,f164]) ).

fof(f1151,plain,
    ( e0 = e3
    | ~ spl4_66
    | ~ spl4_92 ),
    inference(backward_demodulation,[],[f516,f689]) ).

fof(f689,plain,
    ( e0 = op(e3,e1)
    | ~ spl4_92 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f687,plain,
    ( spl4_92
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_92])]) ).

fof(f516,plain,
    ( e3 = op(e3,e1)
    | ~ spl4_66 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f515,plain,
    ( spl4_66
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_66])]) ).

fof(f1135,plain,
    ( ~ spl4_23
    | ~ spl4_86 ),
    inference(avatar_split_clause,[],[f1134,f621,f323]) ).

fof(f1134,plain,
    ( e3 != op(e0,e1)
    | ~ spl4_86 ),
    inference(forward_demodulation,[],[f139,f623]) ).

fof(f1128,plain,
    ( ~ spl4_26
    | ~ spl4_88 ),
    inference(avatar_split_clause,[],[f1127,f636,f336]) ).

fof(f636,plain,
    ( spl4_88
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_88])]) ).

fof(f1127,plain,
    ( e1 != op(e3,e0)
    | ~ spl4_88 ),
    inference(forward_demodulation,[],[f118,f638]) ).

fof(f638,plain,
    ( e1 = op(e3,e2)
    | ~ spl4_88 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f1125,plain,
    ( ~ spl4_11
    | ~ spl4_65 ),
    inference(avatar_contradiction_clause,[],[f1124]) ).

fof(f1124,plain,
    ( $false
    | ~ spl4_11
    | ~ spl4_65 ),
    inference(subsumption_resolution,[],[f1123,f163]) ).

fof(f1123,plain,
    ( e1 = e2
    | ~ spl4_11
    | ~ spl4_65 ),
    inference(forward_demodulation,[],[f273,f513]) ).

fof(f513,plain,
    ( op(e0,e0) = e1
    | ~ spl4_65 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f511,plain,
    ( spl4_65
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_65])]) ).

fof(f1117,plain,
    ( ~ spl4_20
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1116,f511,f311]) ).

fof(f311,plain,
    ( spl4_20
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).

fof(f1116,plain,
    ( e1 != op(e0,e1)
    | ~ spl4_65 ),
    inference(forward_demodulation,[],[f132,f513]) ).

fof(f1112,plain,
    ( ~ spl4_18
    | ~ spl4_19 ),
    inference(avatar_split_clause,[],[f1062,f306,f302]) ).

fof(f306,plain,
    ( spl4_19
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).

fof(f1062,plain,
    ( e2 != op(e3,e0)
    | ~ spl4_19 ),
    inference(forward_demodulation,[],[f151,f308]) ).

fof(f308,plain,
    ( e2 = op(e3,e3)
    | ~ spl4_19 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f1111,plain,
    ( ~ spl4_26
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f1110,f511,f336]) ).

fof(f1110,plain,
    ( e1 != op(e3,e0)
    | ~ spl4_65 ),
    inference(forward_demodulation,[],[f112,f513]) ).

fof(f1108,plain,
    ( ~ spl4_62
    | ~ spl4_63 ),
    inference(avatar_contradiction_clause,[],[f1107]) ).

fof(f1107,plain,
    ( $false
    | ~ spl4_62
    | ~ spl4_63 ),
    inference(subsumption_resolution,[],[f1106,f498]) ).

fof(f1106,plain,
    ( e2 != op(e2,e0)
    | ~ spl4_63 ),
    inference(forward_demodulation,[],[f147,f502]) ).

fof(f147,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1104,plain,
    ( ~ spl4_31
    | ~ spl4_19
    | spl4_46 ),
    inference(avatar_split_clause,[],[f1103,f423,f306,f358]) ).

fof(f358,plain,
    ( spl4_31
  <=> e0 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).

fof(f1103,plain,
    ( e0 != op(e2,e3)
    | ~ spl4_19
    | spl4_46 ),
    inference(forward_demodulation,[],[f425,f308]) ).

fof(f1098,plain,
    ( ~ spl4_18
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1097,f496,f302]) ).

fof(f1097,plain,
    ( e2 != op(e3,e0)
    | ~ spl4_62 ),
    inference(forward_demodulation,[],[f130,f498]) ).

fof(f1096,plain,
    ( ~ spl4_72
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f1094,f247,f541]) ).

fof(f1094,plain,
    ( e1 != op(e2,e2)
    | ~ spl4_5 ),
    inference(backward_demodulation,[],[f141,f249]) ).

fof(f141,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1090,plain,
    ( ~ spl4_43
    | ~ spl4_74 ),
    inference(avatar_contradiction_clause,[],[f1089]) ).

fof(f1089,plain,
    ( $false
    | ~ spl4_43
    | ~ spl4_74 ),
    inference(subsumption_resolution,[],[f1088,f167]) ).

fof(f1088,plain,
    ( e0 = e1
    | ~ spl4_43
    | ~ spl4_74 ),
    inference(forward_demodulation,[],[f554,f411]) ).

fof(f1085,plain,
    ( ~ spl4_52
    | ~ spl4_19 ),
    inference(avatar_split_clause,[],[f1031,f306,f451]) ).

fof(f1031,plain,
    ( e2 != op(e2,e3)
    | ~ spl4_19 ),
    inference(forward_demodulation,[],[f116,f308]) ).

fof(f116,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1084,plain,
    ( ~ spl4_41
    | ~ spl4_43 ),
    inference(avatar_contradiction_clause,[],[f1083]) ).

fof(f1083,plain,
    ( $false
    | ~ spl4_41
    | ~ spl4_43 ),
    inference(subsumption_resolution,[],[f1082,f165]) ).

fof(f1082,plain,
    ( e0 = e2
    | ~ spl4_41
    | ~ spl4_43 ),
    inference(forward_demodulation,[],[f402,f411]) ).

fof(f1057,plain,
    ( ~ spl4_19
    | ~ spl4_59 ),
    inference(avatar_contradiction_clause,[],[f1056]) ).

fof(f1056,plain,
    ( $false
    | ~ spl4_19
    | ~ spl4_59 ),
    inference(subsumption_resolution,[],[f1055,f484]) ).

fof(f1055,plain,
    ( e2 != op(e0,e3)
    | ~ spl4_19 ),
    inference(forward_demodulation,[],[f157,f308]) ).

fof(f1046,plain,
    ( ~ spl4_35
    | ~ spl4_65 ),
    inference(avatar_contradiction_clause,[],[f1045]) ).

fof(f1045,plain,
    ( $false
    | ~ spl4_35
    | ~ spl4_65 ),
    inference(subsumption_resolution,[],[f1044,f166]) ).

fof(f1044,plain,
    ( e1 = e3
    | ~ spl4_35
    | ~ spl4_65 ),
    inference(backward_demodulation,[],[f376,f513]) ).

fof(f1028,plain,
    ( ~ spl4_72
    | ~ spl4_88 ),
    inference(avatar_split_clause,[],[f1027,f636,f541]) ).

fof(f1027,plain,
    ( e1 != op(e2,e2)
    | ~ spl4_88 ),
    inference(backward_demodulation,[],[f129,f638]) ).

fof(f1022,plain,
    ( ~ spl4_14
    | ~ spl4_35 ),
    inference(avatar_contradiction_clause,[],[f1021]) ).

fof(f1021,plain,
    ( $false
    | ~ spl4_14
    | ~ spl4_35 ),
    inference(subsumption_resolution,[],[f976,f376]) ).

fof(f976,plain,
    ( op(e0,e0) != e3
    | ~ spl4_14 ),
    inference(forward_demodulation,[],[f124,f287]) ).

fof(f287,plain,
    ( e3 = op(e1,e0)
    | ~ spl4_14 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f285,plain,
    ( spl4_14
  <=> e3 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).

fof(f1013,plain,
    ( ~ spl4_19
    | ~ spl4_54 ),
    inference(avatar_contradiction_clause,[],[f1012]) ).

fof(f1012,plain,
    ( $false
    | ~ spl4_19
    | ~ spl4_54 ),
    inference(subsumption_resolution,[],[f1011,f168]) ).

fof(f1011,plain,
    ( e2 = e3
    | ~ spl4_19
    | ~ spl4_54 ),
    inference(forward_demodulation,[],[f460,f308]) ).

fof(f1010,plain,
    ( ~ spl4_30
    | ~ spl4_29 ),
    inference(avatar_split_clause,[],[f1009,f349,f353]) ).

fof(f353,plain,
    ( spl4_30
  <=> e3 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).

fof(f1009,plain,
    ( e3 != op(e2,e3)
    | ~ spl4_29 ),
    inference(backward_demodulation,[],[f154,f351]) ).

fof(f351,plain,
    ( e3 = op(e2,e1)
    | ~ spl4_29 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f1002,plain,
    ( ~ spl4_88
    | ~ spl4_19
    | spl4_45 ),
    inference(avatar_split_clause,[],[f1001,f419,f306,f636]) ).

fof(f1001,plain,
    ( e1 != op(e3,e2)
    | ~ spl4_19
    | spl4_45 ),
    inference(forward_demodulation,[],[f421,f308]) ).

fof(f997,plain,
    ( ~ spl4_5
    | ~ spl4_19
    | spl4_39 ),
    inference(avatar_split_clause,[],[f996,f392,f306,f247]) ).

fof(f996,plain,
    ( e1 != op(e2,e3)
    | ~ spl4_19
    | spl4_39 ),
    inference(forward_demodulation,[],[f394,f308]) ).

fof(f993,plain,
    ( ~ spl4_11
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f941,f482,f272]) ).

fof(f941,plain,
    ( op(e0,e0) != e2
    | ~ spl4_59 ),
    inference(forward_demodulation,[],[f136,f484]) ).

fof(f990,plain,
    ( ~ spl4_29
    | ~ spl4_66 ),
    inference(avatar_split_clause,[],[f919,f515,f349]) ).

fof(f919,plain,
    ( e3 != op(e2,e1)
    | ~ spl4_66 ),
    inference(backward_demodulation,[],[f152,f516]) ).

fof(f986,plain,
    ( ~ spl4_92
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f985,f506,f687]) ).

fof(f985,plain,
    ( e0 != op(e3,e1)
    | ~ spl4_64 ),
    inference(forward_demodulation,[],[f126,f508]) ).

fof(f952,plain,
    ( ~ spl4_92
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f951,f477,f687]) ).

fof(f951,plain,
    ( e0 != op(e3,e1)
    | ~ spl4_58 ),
    inference(forward_demodulation,[],[f110,f479]) ).

fof(f110,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f950,plain,
    ( ~ spl4_57
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f949,f477,f472]) ).

fof(f472,plain,
    ( spl4_57
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_57])]) ).

fof(f949,plain,
    ( e0 != op(e1,e2)
    | ~ spl4_58 ),
    inference(forward_demodulation,[],[f143,f479]) ).

fof(f947,plain,
    ( ~ spl4_33
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f946,f410,f366]) ).

fof(f946,plain,
    ( e0 != op(e2,e1)
    | ~ spl4_43 ),
    inference(forward_demodulation,[],[f137,f411]) ).

fof(f937,plain,
    ( ~ spl4_20
    | ~ spl4_21 ),
    inference(avatar_contradiction_clause,[],[f936]) ).

fof(f936,plain,
    ( $false
    | ~ spl4_20
    | ~ spl4_21 ),
    inference(subsumption_resolution,[],[f935,f163]) ).

fof(f935,plain,
    ( e1 = e2
    | ~ spl4_20
    | ~ spl4_21 ),
    inference(forward_demodulation,[],[f317,f313]) ).

fof(f313,plain,
    ( e1 = op(e0,e1)
    | ~ spl4_20 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f317,plain,
    ( e2 = op(e0,e1)
    | ~ spl4_21 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f934,plain,
    ( ~ spl4_24
    | ~ spl4_64 ),
    inference(avatar_contradiction_clause,[],[f933]) ).

fof(f933,plain,
    ( $false
    | ~ spl4_24
    | ~ spl4_64 ),
    inference(subsumption_resolution,[],[f932,f330]) ).

fof(f932,plain,
    ( e0 != op(e3,e0)
    | ~ spl4_64 ),
    inference(forward_demodulation,[],[f151,f508]) ).

fof(f930,plain,
    ( ~ spl4_11
    | ~ spl4_35 ),
    inference(avatar_contradiction_clause,[],[f929]) ).

fof(f929,plain,
    ( $false
    | ~ spl4_11
    | ~ spl4_35 ),
    inference(subsumption_resolution,[],[f928,f168]) ).

fof(f928,plain,
    ( e2 = e3
    | ~ spl4_11
    | ~ spl4_35 ),
    inference(forward_demodulation,[],[f376,f273]) ).

fof(f914,plain,
    ( ~ spl4_92
    | ~ spl4_24 ),
    inference(avatar_split_clause,[],[f913,f328,f687]) ).

fof(f913,plain,
    ( e0 != op(e3,e1)
    | ~ spl4_24 ),
    inference(forward_demodulation,[],[f133,f330]) ).

fof(f133,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f906,plain,
    ( ~ spl4_19
    | ~ spl4_64 ),
    inference(avatar_contradiction_clause,[],[f905]) ).

fof(f905,plain,
    ( $false
    | ~ spl4_19
    | ~ spl4_64 ),
    inference(subsumption_resolution,[],[f904,f165]) ).

fof(f904,plain,
    ( e0 = e2
    | ~ spl4_19
    | ~ spl4_64 ),
    inference(forward_demodulation,[],[f308,f508]) ).

fof(f901,plain,
    ( ~ spl4_70
    | ~ spl4_20 ),
    inference(avatar_split_clause,[],[f900,f311,f533]) ).

fof(f900,plain,
    ( e1 != op(e2,e1)
    | ~ spl4_20 ),
    inference(forward_demodulation,[],[f117,f313]) ).

fof(f899,plain,
    ( ~ spl4_27
    | ~ spl4_34 ),
    inference(avatar_contradiction_clause,[],[f898]) ).

fof(f898,plain,
    ( $false
    | ~ spl4_27
    | ~ spl4_34 ),
    inference(subsumption_resolution,[],[f897,f164]) ).

fof(f897,plain,
    ( e0 = e3
    | ~ spl4_27
    | ~ spl4_34 ),
    inference(forward_demodulation,[],[f343,f372]) ).

fof(f343,plain,
    ( e3 = op(e2,e2)
    | ~ spl4_27 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f896,plain,
    ( ~ spl4_87
    | ~ spl4_20 ),
    inference(avatar_split_clause,[],[f895,f311,f632]) ).

fof(f895,plain,
    ( e1 != op(e3,e1)
    | ~ spl4_20 ),
    inference(forward_demodulation,[],[f123,f313]) ).

fof(f123,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f890,plain,
    ( ~ spl4_59
    | spl4_61
    | ~ spl4_64 ),
    inference(avatar_contradiction_clause,[],[f889]) ).

fof(f889,plain,
    ( $false
    | ~ spl4_59
    | spl4_61
    | ~ spl4_64 ),
    inference(subsumption_resolution,[],[f888,f484]) ).

fof(f888,plain,
    ( e2 != op(e0,e3)
    | spl4_61
    | ~ spl4_64 ),
    inference(backward_demodulation,[],[f493,f508]) ).

fof(f493,plain,
    ( e2 != op(op(e3,e3),e3)
    | spl4_61 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f491,plain,
    ( spl4_61
  <=> e2 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_61])]) ).

fof(f887,plain,
    ( ~ spl4_20
    | ~ spl4_23 ),
    inference(avatar_contradiction_clause,[],[f886]) ).

fof(f886,plain,
    ( $false
    | ~ spl4_20
    | ~ spl4_23 ),
    inference(subsumption_resolution,[],[f885,f166]) ).

fof(f885,plain,
    ( e1 = e3
    | ~ spl4_20
    | ~ spl4_23 ),
    inference(forward_demodulation,[],[f325,f313]) ).

fof(f325,plain,
    ( e3 = op(e0,e1)
    | ~ spl4_23 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f878,plain,
    ( ~ spl4_34
    | ~ spl4_72 ),
    inference(avatar_contradiction_clause,[],[f877]) ).

fof(f877,plain,
    ( $false
    | ~ spl4_34
    | ~ spl4_72 ),
    inference(subsumption_resolution,[],[f876,f167]) ).

fof(f876,plain,
    ( e0 = e1
    | ~ spl4_34
    | ~ spl4_72 ),
    inference(forward_demodulation,[],[f543,f372]) ).

fof(f869,plain,
    ( ~ spl4_79
    | ~ spl4_24 ),
    inference(avatar_split_clause,[],[f868,f328,f578]) ).

fof(f578,plain,
    ( spl4_79
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_79])]) ).

fof(f868,plain,
    ( e0 != op(e0,e0)
    | ~ spl4_24 ),
    inference(forward_demodulation,[],[f112,f330]) ).

fof(f859,plain,
    ( ~ spl4_24
    | ~ spl4_26 ),
    inference(avatar_contradiction_clause,[],[f858]) ).

fof(f858,plain,
    ( $false
    | ~ spl4_24
    | ~ spl4_26 ),
    inference(subsumption_resolution,[],[f857,f167]) ).

fof(f857,plain,
    ( e0 = e1
    | ~ spl4_24
    | ~ spl4_26 ),
    inference(forward_demodulation,[],[f338,f330]) ).

fof(f856,plain,
    ( ~ spl4_4
    | ~ spl4_34 ),
    inference(avatar_contradiction_clause,[],[f855]) ).

fof(f855,plain,
    ( $false
    | ~ spl4_4
    | ~ spl4_34 ),
    inference(subsumption_resolution,[],[f854,f165]) ).

fof(f854,plain,
    ( e0 = e2
    | ~ spl4_4
    | ~ spl4_34 ),
    inference(backward_demodulation,[],[f243,f372]) ).

fof(f849,plain,
    ( ~ spl4_71
    | ~ spl4_11
    | spl4_37 ),
    inference(avatar_split_clause,[],[f848,f383,f272,f537]) ).

fof(f383,plain,
    ( spl4_37
  <=> e1 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).

fof(f848,plain,
    ( e1 != op(e2,e0)
    | ~ spl4_11
    | spl4_37 ),
    inference(backward_demodulation,[],[f385,f273]) ).

fof(f385,plain,
    ( e1 != op(op(e0,e0),e0)
    | spl4_37 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f844,plain,
    ( ~ spl4_5
    | ~ spl4_31 ),
    inference(avatar_contradiction_clause,[],[f843]) ).

fof(f843,plain,
    ( $false
    | ~ spl4_5
    | ~ spl4_31 ),
    inference(subsumption_resolution,[],[f842,f167]) ).

fof(f842,plain,
    ( e0 = e1
    | ~ spl4_5
    | ~ spl4_31 ),
    inference(forward_demodulation,[],[f249,f360]) ).

fof(f360,plain,
    ( e0 = op(e2,e3)
    | ~ spl4_31 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f838,plain,
    ( ~ spl4_20
    | ~ spl4_22 ),
    inference(avatar_contradiction_clause,[],[f837]) ).

fof(f837,plain,
    ( $false
    | ~ spl4_20
    | ~ spl4_22 ),
    inference(subsumption_resolution,[],[f836,f167]) ).

fof(f836,plain,
    ( e0 = e1
    | ~ spl4_20
    | ~ spl4_22 ),
    inference(backward_demodulation,[],[f313,f321]) ).

fof(f832,plain,
    ( ~ spl4_8
    | ~ spl4_19 ),
    inference(avatar_contradiction_clause,[],[f831]) ).

fof(f831,plain,
    ( $false
    | ~ spl4_8
    | ~ spl4_19 ),
    inference(subsumption_resolution,[],[f830,f163]) ).

fof(f830,plain,
    ( e1 = e2
    | ~ spl4_8
    | ~ spl4_19 ),
    inference(backward_demodulation,[],[f308,f261]) ).

fof(f826,plain,
    ( ~ spl4_58
    | ~ spl4_19
    | spl4_38 ),
    inference(avatar_split_clause,[],[f825,f388,f306,f477]) ).

fof(f388,plain,
    ( spl4_38
  <=> e0 = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_38])]) ).

fof(f825,plain,
    ( e0 != op(e3,e2)
    | ~ spl4_19
    | spl4_38 ),
    inference(forward_demodulation,[],[f390,f308]) ).

fof(f390,plain,
    ( e0 != op(e3,op(e3,e3))
    | spl4_38 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f814,plain,
    ( ~ spl4_60
    | ~ spl4_41 ),
    inference(avatar_split_clause,[],[f809,f401,f486]) ).

fof(f486,plain,
    ( spl4_60
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_60])]) ).

fof(f809,plain,
    ( e2 != op(e1,e3)
    | ~ spl4_41 ),
    inference(backward_demodulation,[],[f134,f402]) ).

fof(f799,plain,
    ( ~ spl4_30
    | ~ spl4_31 ),
    inference(avatar_contradiction_clause,[],[f798]) ).

fof(f798,plain,
    ( $false
    | ~ spl4_30
    | ~ spl4_31 ),
    inference(subsumption_resolution,[],[f797,f164]) ).

fof(f797,plain,
    ( e0 = e3
    | ~ spl4_30
    | ~ spl4_31 ),
    inference(forward_demodulation,[],[f355,f360]) ).

fof(f355,plain,
    ( e3 = op(e2,e3)
    | ~ spl4_30 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f794,plain,
    ( ~ spl4_73
    | ~ spl4_16 ),
    inference(avatar_split_clause,[],[f793,f294,f546]) ).

fof(f793,plain,
    ( e2 != op(e0,e2)
    | ~ spl4_16 ),
    inference(backward_demodulation,[],[f146,f296]) ).

fof(f792,plain,
    ( ~ spl4_4
    | ~ spl4_27 ),
    inference(avatar_contradiction_clause,[],[f791]) ).

fof(f791,plain,
    ( $false
    | ~ spl4_4
    | ~ spl4_27 ),
    inference(subsumption_resolution,[],[f790,f168]) ).

fof(f790,plain,
    ( e2 = e3
    | ~ spl4_4
    | ~ spl4_27 ),
    inference(backward_demodulation,[],[f343,f243]) ).

fof(f786,plain,
    ( ~ spl4_60
    | ~ spl4_19 ),
    inference(avatar_split_clause,[],[f784,f306,f486]) ).

fof(f784,plain,
    ( e2 != op(e1,e3)
    | ~ spl4_19 ),
    inference(backward_demodulation,[],[f119,f308]) ).

fof(f119,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f785,plain,
    ( ~ spl4_16
    | ~ spl4_19 ),
    inference(avatar_split_clause,[],[f783,f306,f294]) ).

fof(f783,plain,
    ( e2 != op(e3,e2)
    | ~ spl4_19 ),
    inference(backward_demodulation,[],[f135,f308]) ).

fof(f779,plain,
    ( ~ spl4_65
    | ~ spl4_6 ),
    inference(avatar_split_clause,[],[f775,f251,f511]) ).

fof(f775,plain,
    ( op(e0,e0) != e1
    | ~ spl4_6 ),
    inference(backward_demodulation,[],[f136,f253]) ).

fof(f253,plain,
    ( e1 = op(e0,e3)
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f778,plain,
    ( ~ spl4_20
    | ~ spl4_6 ),
    inference(avatar_split_clause,[],[f776,f251,f311]) ).

fof(f776,plain,
    ( e1 != op(e0,e1)
    | ~ spl4_6 ),
    inference(backward_demodulation,[],[f139,f253]) ).

fof(f770,plain,
    ( ~ spl4_43
    | ~ spl4_13 ),
    inference(avatar_split_clause,[],[f766,f281,f410]) ).

fof(f281,plain,
    ( spl4_13
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).

fof(f766,plain,
    ( e0 != op(e1,e1)
    | ~ spl4_13 ),
    inference(backward_demodulation,[],[f122,f283]) ).

fof(f283,plain,
    ( e0 = op(e1,e0)
    | ~ spl4_13 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f760,plain,
    ( ~ spl4_88
    | ~ spl4_51 ),
    inference(avatar_split_clause,[],[f757,f446,f636]) ).

fof(f757,plain,
    ( e1 != op(e3,e2)
    | ~ spl4_51 ),
    inference(backward_demodulation,[],[f143,f447]) ).

fof(f754,plain,
    ( ~ spl4_19
    | ~ spl4_17 ),
    inference(avatar_split_clause,[],[f749,f298,f306]) ).

fof(f749,plain,
    ( e2 != op(e3,e3)
    | ~ spl4_17 ),
    inference(backward_demodulation,[],[f126,f300]) ).

fof(f300,plain,
    ( e2 = op(e3,e1)
    | ~ spl4_17 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f753,plain,
    ( ~ spl4_63
    | ~ spl4_17 ),
    inference(avatar_split_clause,[],[f748,f298,f500]) ).

fof(f748,plain,
    ( e2 != op(e2,e1)
    | ~ spl4_17 ),
    inference(backward_demodulation,[],[f152,f300]) ).

fof(f751,plain,
    ( ~ spl4_16
    | ~ spl4_17 ),
    inference(avatar_split_clause,[],[f747,f298,f294]) ).

fof(f747,plain,
    ( e2 != op(e3,e2)
    | ~ spl4_17 ),
    inference(backward_demodulation,[],[f110,f300]) ).

fof(f742,plain,
    ( ~ spl4_3
    | ~ spl4_27 ),
    inference(avatar_split_clause,[],[f736,f341,f238]) ).

fof(f736,plain,
    ( e3 != op(e3,e2)
    | ~ spl4_27 ),
    inference(backward_demodulation,[],[f129,f343]) ).

fof(f741,plain,
    ( ~ spl4_29
    | ~ spl4_27 ),
    inference(avatar_split_clause,[],[f737,f341,f349]) ).

fof(f737,plain,
    ( e3 != op(e2,e1)
    | ~ spl4_27 ),
    inference(backward_demodulation,[],[f120,f343]) ).

fof(f738,plain,
    ( ~ spl4_56
    | ~ spl4_27 ),
    inference(avatar_split_clause,[],[f733,f341,f468]) ).

fof(f733,plain,
    ( e3 != op(e1,e2)
    | ~ spl4_27 ),
    inference(backward_demodulation,[],[f142,f343]) ).

fof(f732,plain,
    ( ~ spl4_34
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f724,f358,f370]) ).

fof(f724,plain,
    ( e0 != op(e2,e2)
    | ~ spl4_31 ),
    inference(backward_demodulation,[],[f141,f360]) ).

fof(f731,plain,
    ( ~ spl4_83
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f726,f358,f602]) ).

fof(f726,plain,
    ( e0 != op(e0,e3)
    | ~ spl4_31 ),
    inference(backward_demodulation,[],[f155,f360]) ).

fof(f720,plain,
    ( ~ spl4_28
    | ~ spl4_25 ),
    inference(avatar_split_clause,[],[f712,f332,f345]) ).

fof(f332,plain,
    ( spl4_25
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).

fof(f712,plain,
    ( e3 != op(e2,e0)
    | ~ spl4_25 ),
    inference(backward_demodulation,[],[f130,f334]) ).

fof(f334,plain,
    ( e3 = op(e3,e0)
    | ~ spl4_25 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f719,plain,
    ( ~ spl4_3
    | ~ spl4_25 ),
    inference(avatar_split_clause,[],[f714,f332,f238]) ).

fof(f714,plain,
    ( e3 != op(e3,e2)
    | ~ spl4_25 ),
    inference(backward_demodulation,[],[f118,f334]) ).

fof(f717,plain,
    ( ~ spl4_14
    | ~ spl4_25 ),
    inference(avatar_split_clause,[],[f713,f332,f285]) ).

fof(f713,plain,
    ( e3 != op(e1,e0)
    | ~ spl4_25 ),
    inference(backward_demodulation,[],[f140,f334]) ).

fof(f716,plain,
    ( ~ spl4_35
    | ~ spl4_25 ),
    inference(avatar_split_clause,[],[f710,f332,f375]) ).

fof(f710,plain,
    ( op(e0,e0) != e3
    | ~ spl4_25 ),
    inference(backward_demodulation,[],[f112,f334]) ).

fof(f708,plain,
    ( spl4_87
    | spl4_20
    | spl4_74
    | spl4_70 ),
    inference(avatar_split_clause,[],[f183,f533,f552,f311,f632]) ).

fof(f183,plain,
    ( e1 = op(e2,e1)
    | e1 = op(e1,e1)
    | e1 = op(e0,e1)
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

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

fof(f705,plain,
    ( spl4_4
    | ~ spl4_3
    | spl4_11
    | spl4_1 ),
    inference(avatar_split_clause,[],[f99,f230,f272,f238,f242]) ).

fof(f230,plain,
    ( spl4_1
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f99,plain,
    ( sP3
    | op(e0,e0) = e2
    | e3 != op(e3,e2)
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ( ( ( e0 != op(e0,e2)
        & op(e0,e0) = e2 )
      | ( e2 != op(e2,e2)
        & e2 = op(e2,e2) )
      | ( e3 != op(e3,e2)
        & e2 = op(e3,e3) )
      | sP3 )
    & ( ( e3 != op(e3,e0)
        & e0 = op(e3,e3) )
      | ( e2 != op(e2,e0)
        & e0 = op(e2,e2) )
      | ( e1 != op(e1,e0)
        & e0 = op(e1,e1) )
      | sP2 )
    & ( ( e0 != op(e0,e3)
        & op(e0,e0) = e3 )
      | ( e3 = op(e3,e3)
        & e3 != op(e3,e3) )
      | ( e3 = op(e2,e2)
        & e2 != op(e2,e3) )
      | sP1 )
    & ( ( e3 != op(e3,e1)
        & e1 = op(e3,e3) )
      | ( op(e0,e0) = e1
        & e0 != op(e0,e1) )
      | ( e1 = op(e2,e2)
        & e2 != op(e2,e1) )
      | sP0 ) ),
    inference(definition_folding,[],[f5,f57,f56,f55,f54]) ).

fof(f54,plain,
    ( ( e1 != op(e1,e1)
      & e1 = op(e1,e1) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f55,plain,
    ( ( e1 != op(e1,e3)
      & e3 = op(e1,e1) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f56,plain,
    ( ( e0 != op(e0,e0)
      & e0 = op(e0,e0) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f57,plain,
    ( ( e1 != op(e1,e2)
      & e2 = op(e1,e1) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f5,axiom,
    ( ( ( e0 != op(e0,e2)
        & op(e0,e0) = e2 )
      | ( e2 != op(e2,e2)
        & e2 = op(e2,e2) )
      | ( e3 != op(e3,e2)
        & e2 = op(e3,e3) )
      | ( e1 != op(e1,e2)
        & e2 = op(e1,e1) ) )
    & ( ( e3 != op(e3,e0)
        & e0 = op(e3,e3) )
      | ( e2 != op(e2,e0)
        & e0 = op(e2,e2) )
      | ( e1 != op(e1,e0)
        & e0 = op(e1,e1) )
      | ( e0 != op(e0,e0)
        & e0 = op(e0,e0) ) )
    & ( ( e0 != op(e0,e3)
        & op(e0,e0) = e3 )
      | ( e3 = op(e3,e3)
        & e3 != op(e3,e3) )
      | ( e3 = op(e2,e2)
        & e2 != op(e2,e3) )
      | ( e1 != op(e1,e3)
        & e3 = op(e1,e1) ) )
    & ( ( e3 != op(e3,e1)
        & e1 = op(e3,e3) )
      | ( op(e0,e0) = e1
        & e0 != op(e0,e1) )
      | ( e1 = op(e2,e2)
        & e2 != op(e2,e1) )
      | ( e1 != op(e1,e1)
        & e1 = op(e1,e1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f702,plain,
    ( spl4_73
    | spl4_2
    | spl4_85
    | spl4_90 ),
    inference(avatar_split_clause,[],[f214,f666,f617,f234,f546]) ).

fof(f234,plain,
    ( spl4_2
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f214,plain,
    ( e1 = op(e0,e2)
    | e3 = op(e0,e2)
    | e0 = op(e0,e2)
    | e2 = op(e0,e2) ),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f701,plain,
    ( spl4_22
    | spl4_43
    | spl4_33
    | spl4_92 ),
    inference(avatar_split_clause,[],[f189,f687,f366,f410,f319]) ).

fof(f189,plain,
    ( e0 = op(e3,e1)
    | e0 = op(e2,e1)
    | e0 = op(e1,e1)
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f700,plain,
    ( spl4_27
    | ~ spl4_83
    | ~ spl4_54
    | spl4_53 ),
    inference(avatar_split_clause,[],[f87,f455,f459,f602,f341]) ).

fof(f455,plain,
    ( spl4_53
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_53])]) ).

fof(f87,plain,
    ( sP1
    | e3 != op(e3,e3)
    | e0 != op(e0,e3)
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f698,plain,
    ( spl4_92
    | spl4_64
    | spl4_58
    | spl4_24 ),
    inference(avatar_split_clause,[],[f193,f328,f477,f506,f687]) ).

fof(f193,plain,
    ( e0 = op(e3,e0)
    | e0 = op(e3,e2)
    | e0 = op(e3,e3)
    | e0 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f696,plain,
    ( spl4_72
    | ~ spl4_66
    | spl4_65
    | spl4_67 ),
    inference(avatar_split_clause,[],[f81,f519,f511,f515,f541]) ).

fof(f519,plain,
    ( spl4_67
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_67])]) ).

fof(f81,plain,
    ( sP0
    | op(e0,e0) = e1
    | e3 != op(e3,e1)
    | e1 = op(e2,e2) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f695,plain,
    ( spl4_4
    | spl4_1
    | ~ spl4_2
    | spl4_19 ),
    inference(avatar_split_clause,[],[f102,f306,f234,f230,f242]) ).

fof(f102,plain,
    ( e2 = op(e3,e3)
    | e0 != op(e0,e2)
    | sP3
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f694,plain,
    ( ~ spl4_4
    | spl4_19
    | ~ spl4_2
    | spl4_1 ),
    inference(avatar_split_clause,[],[f104,f230,f234,f306,f242]) ).

fof(f104,plain,
    ( sP3
    | e0 != op(e0,e2)
    | e2 = op(e3,e3)
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f693,plain,
    ( spl4_67
    | spl4_65
    | spl4_72
    | spl4_8 ),
    inference(avatar_split_clause,[],[f77,f259,f541,f511,f519]) ).

fof(f77,plain,
    ( e1 = op(e3,e3)
    | e1 = op(e2,e2)
    | op(e0,e0) = e1
    | sP0 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f692,plain,
    ( spl4_80
    | spl4_83
    | spl4_31
    | spl4_64 ),
    inference(avatar_split_clause,[],[f200,f506,f358,f602,f586]) ).

fof(f200,plain,
    ( e0 = op(e3,e3)
    | e0 = op(e2,e3)
    | e0 = op(e0,e3)
    | e0 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f691,plain,
    ( ~ spl4_67
    | spl4_74 ),
    inference(avatar_split_clause,[],[f72,f552,f519]) ).

fof(f72,plain,
    ( e1 = op(e1,e1)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ( ( e1 != op(e1,e1)
      & e1 = op(e1,e1) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f54]) ).

fof(f690,plain,
    ( spl4_87
    | spl4_17
    | spl4_92
    | spl4_66 ),
    inference(avatar_split_clause,[],[f224,f515,f687,f298,f632]) ).

fof(f224,plain,
    ( e3 = op(e3,e1)
    | e0 = op(e3,e1)
    | e2 = op(e3,e1)
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f683,plain,
    ( ~ spl4_53
    | spl4_75 ),
    inference(avatar_split_clause,[],[f70,f556,f455]) ).

fof(f70,plain,
    ( e3 = op(e1,e1)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ( ( e1 != op(e1,e3)
      & e3 = op(e1,e1) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f55]) ).

fof(f682,plain,
    ( spl4_6
    | spl4_83
    | spl4_86
    | spl4_59 ),
    inference(avatar_split_clause,[],[f218,f482,f621,f602,f251]) ).

fof(f218,plain,
    ( e2 = op(e0,e3)
    | e3 = op(e0,e3)
    | e0 = op(e0,e3)
    | e1 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f681,plain,
    ( spl4_67
    | spl4_8
    | spl4_65
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f76,f500,f511,f259,f519]) ).

fof(f76,plain,
    ( e2 != op(e2,e1)
    | op(e0,e0) = e1
    | e1 = op(e3,e3)
    | sP0 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f680,plain,
    ( spl4_11
    | spl4_19
    | spl4_1
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f100,f242,f230,f306,f272]) ).

fof(f100,plain,
    ( e2 != op(e2,e2)
    | sP3
    | e2 = op(e3,e3)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f679,plain,
    ( spl4_4
    | spl4_55
    | spl4_73
    | spl4_16 ),
    inference(avatar_split_clause,[],[f171,f294,f546,f464,f242]) ).

fof(f171,plain,
    ( e2 = op(e3,e2)
    | e2 = op(e0,e2)
    | e2 = op(e1,e2)
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f678,plain,
    ( spl4_35
    | spl4_53
    | ~ spl4_52
    | spl4_54 ),
    inference(avatar_split_clause,[],[f84,f459,f451,f455,f375]) ).

fof(f84,plain,
    ( e3 = op(e3,e3)
    | e2 != op(e2,e3)
    | sP1
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f672,plain,
    ( spl4_1
    | ~ spl4_4
    | spl4_11
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f101,f238,f272,f242,f230]) ).

fof(f101,plain,
    ( e3 != op(e3,e2)
    | op(e0,e0) = e2
    | e2 != op(e2,e2)
    | sP3 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f670,plain,
    ( ~ spl4_62
    | spl4_64
    | spl4_78
    | spl4_43 ),
    inference(avatar_split_clause,[],[f92,f410,f573,f506,f496]) ).

fof(f573,plain,
    ( spl4_78
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_78])]) ).

fof(f92,plain,
    ( e0 = op(e1,e1)
    | sP2
    | e0 = op(e3,e3)
    | e2 != op(e2,e0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f669,plain,
    ( spl4_6
    | spl4_20
    | spl4_65
    | spl4_90 ),
    inference(avatar_split_clause,[],[f187,f666,f511,f311,f251]) ).

fof(f187,plain,
    ( e1 = op(e0,e2)
    | op(e0,e0) = e1
    | e1 = op(e0,e1)
    | e1 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f664,plain,
    ( spl4_32
    | spl4_28
    | spl4_71
    | spl4_62 ),
    inference(avatar_split_clause,[],[f221,f496,f537,f345,f362]) ).

fof(f221,plain,
    ( e2 = op(e2,e0)
    | e1 = op(e2,e0)
    | e3 = op(e2,e0)
    | e0 = op(e2,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f663,plain,
    ( spl4_79
    | ~ spl4_78 ),
    inference(avatar_split_clause,[],[f68,f573,f578]) ).

fof(f68,plain,
    ( ~ sP2
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ( ( e0 != op(e0,e0)
      & e0 = op(e0,e0) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f56]) ).

fof(f662,plain,
    ( spl4_81
    | spl4_30
    | spl4_54
    | spl4_86 ),
    inference(avatar_split_clause,[],[f173,f621,f459,f353,f590]) ).

fof(f173,plain,
    ( e3 = op(e0,e3)
    | e3 = op(e3,e3)
    | e3 = op(e2,e3)
    | e3 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f660,plain,
    ( spl4_12
    | spl4_74
    | spl4_7
    | spl4_51 ),
    inference(avatar_split_clause,[],[f194,f446,f255,f552,f277]) ).

fof(f194,plain,
    ( e1 = op(e1,e2)
    | e1 = op(e1,e3)
    | e1 = op(e1,e1)
    | e1 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f659,plain,
    ( ~ spl4_78
    | ~ spl4_79 ),
    inference(avatar_split_clause,[],[f69,f578,f573]) ).

fof(f69,plain,
    ( e0 != op(e0,e0)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f657,plain,
    ( spl4_58
    | spl4_3
    | spl4_16
    | spl4_88 ),
    inference(avatar_split_clause,[],[f223,f636,f294,f238,f477]) ).

fof(f223,plain,
    ( e1 = op(e3,e2)
    | e2 = op(e3,e2)
    | e3 = op(e3,e2)
    | e0 = op(e3,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f656,plain,
    ( ~ spl4_83
    | spl4_27
    | spl4_53
    | spl4_54 ),
    inference(avatar_split_clause,[],[f89,f459,f455,f341,f602]) ).

fof(f89,plain,
    ( e3 = op(e3,e3)
    | sP1
    | e3 = op(e2,e2)
    | e0 != op(e0,e3) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f655,plain,
    ( spl4_78
    | spl4_34
    | ~ spl4_12
    | spl4_64 ),
    inference(avatar_split_clause,[],[f91,f506,f277,f370,f573]) ).

fof(f91,plain,
    ( e0 = op(e3,e3)
    | e1 != op(e1,e0)
    | e0 = op(e2,e2)
    | sP2 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f654,plain,
    ( spl4_85
    | spl4_3
    | spl4_27
    | spl4_56 ),
    inference(avatar_split_clause,[],[f179,f468,f341,f238,f617]) ).

fof(f179,plain,
    ( e3 = op(e1,e2)
    | e3 = op(e2,e2)
    | e3 = op(e3,e2)
    | e3 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f653,plain,
    ( spl4_19
    | spl4_11
    | spl4_1
    | spl4_4 ),
    inference(avatar_split_clause,[],[f98,f242,f230,f272,f306]) ).

fof(f98,plain,
    ( e2 = op(e2,e2)
    | sP3
    | op(e0,e0) = e2
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f650,plain,
    ( spl4_17
    | spl4_21
    | spl4_63
    | spl4_41 ),
    inference(avatar_split_clause,[],[f192,f401,f500,f315,f298]) ).

fof(f192,plain,
    ( e2 = op(e1,e1)
    | e2 = op(e2,e1)
    | e2 = op(e0,e1)
    | e2 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f648,plain,
    ( spl4_53
    | spl4_54
    | spl4_35
    | spl4_27 ),
    inference(avatar_split_clause,[],[f85,f341,f375,f459,f455]) ).

fof(f85,plain,
    ( e3 = op(e2,e2)
    | op(e0,e0) = e3
    | e3 = op(e3,e3)
    | sP1 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f641,plain,
    ( ~ spl4_74
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f73,f519,f552]) ).

fof(f73,plain,
    ( ~ sP0
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f640,plain,
    ( spl4_54
    | spl4_3
    | spl4_66
    | spl4_25 ),
    inference(avatar_split_clause,[],[f180,f332,f515,f238,f459]) ).

fof(f180,plain,
    ( e3 = op(e3,e0)
    | e3 = op(e3,e1)
    | e3 = op(e3,e2)
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f639,plain,
    ( spl4_87
    | spl4_26
    | spl4_8
    | spl4_88 ),
    inference(avatar_split_clause,[],[f191,f636,f259,f336,f632]) ).

fof(f191,plain,
    ( e1 = op(e3,e2)
    | e1 = op(e3,e3)
    | e1 = op(e3,e0)
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f630,plain,
    ( spl4_63
    | spl4_70
    | spl4_29
    | spl4_33 ),
    inference(avatar_split_clause,[],[f220,f366,f349,f533,f500]) ).

fof(f220,plain,
    ( e0 = op(e2,e1)
    | e3 = op(e2,e1)
    | e1 = op(e2,e1)
    | e2 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f629,plain,
    ( spl4_56
    | spl4_14
    | spl4_75
    | spl4_81 ),
    inference(avatar_split_clause,[],[f174,f590,f556,f285,f468]) ).

fof(f174,plain,
    ( e3 = op(e1,e3)
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | e3 = op(e1,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f628,plain,
    ( spl4_18
    | spl4_62
    | spl4_11
    | spl4_15 ),
    inference(avatar_split_clause,[],[f199,f289,f272,f496,f302]) ).

fof(f199,plain,
    ( e2 = op(e1,e0)
    | op(e0,e0) = e2
    | e2 = op(e2,e0)
    | e2 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f625,plain,
    ( ~ spl4_63
    | spl4_67
    | spl4_8
    | ~ spl4_22 ),
    inference(avatar_split_clause,[],[f74,f319,f259,f519,f500]) ).

fof(f74,plain,
    ( e0 != op(e0,e1)
    | e1 = op(e3,e3)
    | sP0
    | e2 != op(e2,e1) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f624,plain,
    ( spl4_85
    | spl4_86
    | spl4_35
    | spl4_23 ),
    inference(avatar_split_clause,[],[f181,f323,f375,f621,f617]) ).

fof(f181,plain,
    ( e3 = op(e0,e1)
    | op(e0,e0) = e3
    | e3 = op(e0,e3)
    | e3 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f609,plain,
    ( ~ spl4_53
    | ~ spl4_7 ),
    inference(avatar_split_clause,[],[f71,f255,f455]) ).

fof(f71,plain,
    ( e1 != op(e1,e3)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f608,plain,
    ( ~ spl4_54
    | spl4_27
    | spl4_35
    | spl4_53 ),
    inference(avatar_split_clause,[],[f83,f455,f375,f341,f459]) ).

fof(f83,plain,
    ( sP1
    | op(e0,e0) = e3
    | e3 = op(e2,e2)
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f605,plain,
    ( spl4_79
    | spl4_22
    | spl4_83
    | spl4_2 ),
    inference(avatar_split_clause,[],[f201,f234,f602,f319,f578]) ).

fof(f201,plain,
    ( e0 = op(e0,e2)
    | e0 = op(e0,e3)
    | e0 = op(e0,e1)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f600,plain,
    ( ~ spl4_45
    | ~ spl4_64
    | ~ spl4_61 ),
    inference(avatar_split_clause,[],[f106,f491,f506,f419]) ).

fof(f106,plain,
    ( e2 != op(op(e3,e3),e3)
    | e0 != op(e3,e3)
    | e1 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( e1 != op(e3,op(e3,e3))
    | e2 != op(op(e3,e3),e3)
    | e0 != op(e3,e3) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ~ ( e2 = op(op(e3,e3),e3)
      & e0 = op(e3,e3)
      & e1 = op(e3,op(e3,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).

fof(f598,plain,
    ( ~ spl4_11
    | ~ spl4_82
    | ~ spl4_37 ),
    inference(avatar_split_clause,[],[f108,f383,f595,f272]) ).

fof(f108,plain,
    ( e1 != op(op(e0,e0),e0)
    | e3 != op(e0,op(e0,e0))
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( e3 != op(e0,op(e0,e0))
    | e1 != op(op(e0,e0),e0)
    | op(e0,e0) != e2 ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ~ ( e3 = op(e0,op(e0,e0))
      & op(e0,e0) = e2
      & e1 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).

fof(f593,plain,
    ( spl4_7
    | spl4_60
    | spl4_80
    | spl4_81 ),
    inference(avatar_split_clause,[],[f212,f590,f586,f486,f255]) ).

fof(f212,plain,
    ( e3 = op(e1,e3)
    | e0 = op(e1,e3)
    | e2 = op(e1,e3)
    | e1 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f584,plain,
    ( spl4_43
    | spl4_78
    | spl4_34
    | spl4_64 ),
    inference(avatar_split_clause,[],[f90,f506,f370,f573,f410]) ).

fof(f90,plain,
    ( e0 = op(e3,e3)
    | e0 = op(e2,e2)
    | sP2
    | e0 = op(e1,e1) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f583,plain,
    ( ~ spl4_64
    | ~ spl4_39
    | ~ spl4_77 ),
    inference(avatar_split_clause,[],[f63,f567,f392,f506]) ).

fof(f63,plain,
    ( e2 != op(e3,op(e3,e3))
    | e1 != op(op(e3,e3),e3)
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( e1 != op(op(e3,e3),e3)
    | e0 != op(e3,e3)
    | e2 != op(e3,op(e3,e3)) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ~ ( e2 = op(e3,op(e3,e3))
      & e1 = op(op(e3,e3),e3)
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).

fof(f582,plain,
    ( spl4_41
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f66,f230,f401]) ).

fof(f66,plain,
    ( ~ sP3
    | e2 = op(e1,e1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ( ( e1 != op(e1,e2)
      & e2 = op(e1,e1) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f57]) ).

fof(f576,plain,
    ( spl4_34
    | spl4_43
    | spl4_78
    | ~ spl4_25 ),
    inference(avatar_split_clause,[],[f94,f332,f573,f410,f370]) ).

fof(f94,plain,
    ( e3 != op(e3,e0)
    | sP2
    | e0 = op(e1,e1)
    | e0 = op(e2,e2) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f570,plain,
    ( ~ spl4_77
    | ~ spl4_46
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f109,f259,f423,f567]) ).

fof(f109,plain,
    ( e1 != op(e3,e3)
    | e0 != op(op(e3,e3),e3)
    | e2 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( e2 != op(e3,op(e3,e3))
    | e1 != op(e3,e3)
    | e0 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ~ ( e2 = op(e3,op(e3,e3))
      & e0 = op(op(e3,e3),e3)
      & e1 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).

fof(f560,plain,
    ( spl4_26
    | spl4_65
    | spl4_12
    | spl4_71 ),
    inference(avatar_split_clause,[],[f172,f537,f277,f511,f336]) ).

fof(f172,plain,
    ( e1 = op(e2,e0)
    | e1 = op(e1,e0)
    | op(e0,e0) = e1
    | e1 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f550,plain,
    ( spl4_27
    | spl4_4
    | spl4_34
    | spl4_72 ),
    inference(avatar_split_clause,[],[f219,f541,f370,f242,f341]) ).

fof(f219,plain,
    ( e1 = op(e2,e2)
    | e0 = op(e2,e2)
    | e2 = op(e2,e2)
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f544,plain,
    ( spl4_70
    | spl4_71
    | spl4_72
    | spl4_5 ),
    inference(avatar_split_clause,[],[f170,f247,f541,f537,f533]) ).

fof(f170,plain,
    ( e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | e1 = op(e2,e0)
    | e1 = op(e2,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f509,plain,
    ( spl4_54
    | spl4_64
    | spl4_19
    | spl4_8 ),
    inference(avatar_split_clause,[],[f215,f259,f306,f506,f459]) ).

fof(f215,plain,
    ( e1 = op(e3,e3)
    | e2 = op(e3,e3)
    | e0 = op(e3,e3)
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f503,plain,
    ( spl4_62
    | spl4_52
    | spl4_4
    | spl4_63 ),
    inference(avatar_split_clause,[],[f195,f500,f242,f451,f496]) ).

fof(f195,plain,
    ( e2 = op(e2,e1)
    | e2 = op(e2,e2)
    | e2 = op(e2,e3)
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f489,plain,
    ( spl4_59
    | spl4_19
    | spl4_52
    | spl4_60 ),
    inference(avatar_split_clause,[],[f184,f486,f451,f306,f482]) ).

fof(f184,plain,
    ( e2 = op(e1,e3)
    | e2 = op(e2,e3)
    | e2 = op(e3,e3)
    | e2 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f475,plain,
    ( spl4_55
    | spl4_51
    | spl4_56
    | spl4_57 ),
    inference(avatar_split_clause,[],[f216,f472,f468,f446,f464]) ).

fof(f216,plain,
    ( e0 = op(e1,e2)
    | e3 = op(e1,e2)
    | e1 = op(e1,e2)
    | e2 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f462,plain,
    ( ~ spl4_52
    | spl4_35
    | spl4_53
    | ~ spl4_54 ),
    inference(avatar_split_clause,[],[f82,f459,f455,f375,f451]) ).

fof(f82,plain,
    ( e3 != op(e3,e3)
    | sP1
    | op(e0,e0) = e3
    | e2 != op(e2,e3) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f426,plain,
    ( ~ spl4_19
    | ~ spl4_45
    | ~ spl4_46 ),
    inference(avatar_split_clause,[],[f208,f423,f419,f306]) ).

fof(f208,plain,
    ( e0 != op(op(e3,e3),e3)
    | e1 != op(e3,op(e3,e3))
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ( e2 != op(e3,e3)
    | e0 != op(op(e3,e3),e3)
    | e1 != op(e3,op(e3,e3)) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ~ ( e0 = op(op(e3,e3),e3)
      & e2 = op(e3,e3)
      & e1 = op(e3,op(e3,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).

fof(f395,plain,
    ( ~ spl4_38
    | ~ spl4_39
    | ~ spl4_19 ),
    inference(avatar_split_clause,[],[f206,f306,f392,f388]) ).

fof(f206,plain,
    ( e2 != op(e3,e3)
    | e1 != op(op(e3,e3),e3)
    | e0 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ( e1 != op(op(e3,e3),e3)
    | e2 != op(e3,e3)
    | e0 != op(e3,op(e3,e3)) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ~ ( e0 = op(e3,op(e3,e3))
      & e1 = op(op(e3,e3),e3)
      & e2 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

fof(f373,plain,
    ( spl4_31
    | spl4_32
    | spl4_33
    | spl4_34 ),
    inference(avatar_split_clause,[],[f198,f370,f366,f362,f358]) ).

fof(f198,plain,
    ( e0 = op(e2,e2)
    | e0 = op(e2,e1)
    | e0 = op(e2,e0)
    | e0 = op(e2,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f356,plain,
    ( spl4_27
    | spl4_28
    | spl4_29
    | spl4_30 ),
    inference(avatar_split_clause,[],[f182,f353,f349,f345,f341]) ).

fof(f182,plain,
    ( e3 = op(e2,e3)
    | e3 = op(e2,e1)
    | e3 = op(e2,e0)
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f339,plain,
    ( spl4_24
    | spl4_25
    | spl4_18
    | spl4_26 ),
    inference(avatar_split_clause,[],[f222,f336,f302,f332,f328]) ).

fof(f222,plain,
    ( e1 = op(e3,e0)
    | e2 = op(e3,e0)
    | e3 = op(e3,e0)
    | e0 = op(e3,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f326,plain,
    ( spl4_20
    | spl4_21
    | spl4_22
    | spl4_23 ),
    inference(avatar_split_clause,[],[f227,f323,f319,f315,f311]) ).

fof(f227,plain,
    ( e3 = op(e0,e1)
    | e0 = op(e0,e1)
    | e2 = op(e0,e1)
    | e1 = op(e0,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f309,plain,
    ( spl4_16
    | spl4_17
    | spl4_18
    | spl4_19 ),
    inference(avatar_split_clause,[],[f175,f306,f302,f298,f294]) ).

fof(f175,plain,
    ( e2 = op(e3,e3)
    | e2 = op(e3,e0)
    | e2 = op(e3,e1)
    | e2 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f292,plain,
    ( spl4_12
    | spl4_13
    | spl4_14
    | spl4_15 ),
    inference(avatar_split_clause,[],[f226,f289,f285,f281,f277]) ).

fof(f226,plain,
    ( e2 = op(e1,e0)
    | e3 = op(e1,e0)
    | e0 = op(e1,e0)
    | e1 = op(e1,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f262,plain,
    ( spl4_5
    | spl4_6
    | spl4_7
    | spl4_8 ),
    inference(avatar_split_clause,[],[f178,f259,f255,f251,f247]) ).

fof(f178,plain,
    ( e1 = op(e3,e3)
    | e1 = op(e1,e3)
    | e1 = op(e0,e3)
    | e1 = op(e2,e3) ),
    inference(cnf_transformation,[],[f2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ALG142+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 14:56:03 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.51  % (18819)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51  % (18797)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (18798)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51  % (18811)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (18813)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.52  % (18815)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52  % (18807)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52  % (18805)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52  % (18804)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (18794)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (18795)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53  % (18793)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53  % (18796)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (18799)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (18818)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53  % (18820)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.53  % (18817)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (18808)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.54  % (18822)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54  % (18812)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (18809)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (18810)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (18816)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.54  % (18814)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  % (18821)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55  % (18800)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (18803)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (18802)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (18800)Instruction limit reached!
% 0.20/0.55  % (18800)------------------------------
% 0.20/0.55  % (18800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (18800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (18800)Termination reason: Unknown
% 0.20/0.55  % (18800)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (18800)Memory used [KB]: 5628
% 0.20/0.55  % (18800)Time elapsed: 0.004 s
% 0.20/0.55  % (18800)Instructions burned: 8 (million)
% 0.20/0.55  % (18800)------------------------------
% 0.20/0.55  % (18800)------------------------------
% 0.20/0.55  % (18806)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (18801)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (18801)Instruction limit reached!
% 0.20/0.55  % (18801)------------------------------
% 0.20/0.55  % (18801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (18801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (18801)Termination reason: Unknown
% 0.20/0.55  % (18801)Termination phase: Preprocessing 2
% 0.20/0.55  
% 0.20/0.55  % (18801)Memory used [KB]: 895
% 0.20/0.55  % (18801)Time elapsed: 0.002 s
% 0.20/0.55  % (18801)Instructions burned: 2 (million)
% 0.20/0.55  % (18801)------------------------------
% 0.20/0.55  % (18801)------------------------------
% 0.20/0.56  % (18811)First to succeed.
% 1.64/0.56  TRYING [4]
% 1.64/0.57  % (18798)Instruction limit reached!
% 1.64/0.57  % (18798)------------------------------
% 1.64/0.57  % (18798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.58  TRYING [4]
% 1.64/0.58  TRYING [4]
% 1.64/0.58  % (18798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.58  % (18798)Termination reason: Unknown
% 1.64/0.58  % (18798)Termination phase: Saturation
% 1.64/0.58  
% 1.64/0.58  % (18798)Memory used [KB]: 6012
% 1.64/0.58  % (18798)Time elapsed: 0.172 s
% 1.64/0.58  % (18798)Instructions burned: 49 (million)
% 1.64/0.58  % (18798)------------------------------
% 1.64/0.58  % (18798)------------------------------
% 1.64/0.58  % (18795)Instruction limit reached!
% 1.64/0.58  % (18795)------------------------------
% 1.64/0.58  % (18795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.58  % (18795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.58  % (18795)Termination reason: Unknown
% 1.64/0.58  % (18795)Termination phase: Saturation
% 1.64/0.58  
% 1.64/0.58  % (18795)Memory used [KB]: 1151
% 1.64/0.58  % (18795)Time elapsed: 0.161 s
% 1.64/0.58  % (18795)Instructions burned: 37 (million)
% 1.64/0.58  % (18795)------------------------------
% 1.64/0.58  % (18795)------------------------------
% 1.82/0.59  % (18811)Refutation found. Thanks to Tanya!
% 1.82/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.82/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.82/0.59  % (18811)------------------------------
% 1.82/0.59  % (18811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.59  % (18811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.59  % (18811)Termination reason: Refutation
% 1.82/0.59  
% 1.82/0.59  % (18811)Memory used [KB]: 6396
% 1.82/0.59  % (18811)Time elapsed: 0.036 s
% 1.82/0.59  % (18811)Instructions burned: 36 (million)
% 1.82/0.59  % (18811)------------------------------
% 1.82/0.59  % (18811)------------------------------
% 1.82/0.59  % (18792)Success in time 0.241 s
%------------------------------------------------------------------------------