TSTP Solution File: ALG130+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG130+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 : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 15:42:58 EDT 2022

% Result   : Unsatisfiable 2.02s 0.65s
% Output   : Refutation 2.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  108
% Syntax   : Number of formulae    :  797 (  59 unt;   0 def)
%            Number of atoms       : 2189 ( 964 equ)
%            Maximal formula atoms :  128 (   2 avg)
%            Number of connectives : 2464 (1072   ~;1129   |; 175   &)
%                                         (  88 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   93 (  91 usr;  92 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2498,plain,
    $false,
    inference(avatar_sat_refutation,[],[f227,f258,f267,f284,f289,f306,f315,f328,f333,f346,f355,f386,f399,f404,f418,f428,f433,f473,f478,f483,f496,f501,f515,f520,f537,f555,f570,f575,f580,f586,f591,f592,f606,f621,f626,f633,f634,f639,f644,f646,f647,f657,f664,f665,f687,f688,f689,f690,f701,f711,f717,f718,f719,f724,f729,f734,f742,f744,f746,f747,f748,f759,f761,f769,f781,f793,f803,f804,f805,f807,f811,f832,f849,f860,f864,f874,f877,f878,f879,f885,f888,f892,f898,f908,f933,f945,f951,f965,f969,f972,f974,f979,f1023,f1028,f1031,f1040,f1043,f1058,f1067,f1076,f1085,f1088,f1105,f1112,f1115,f1120,f1140,f1143,f1153,f1154,f1165,f1173,f1179,f1204,f1236,f1251,f1258,f1279,f1292,f1332,f1340,f1363,f1369,f1371,f1381,f1388,f1396,f1399,f1430,f1450,f1459,f1492,f1528,f1565,f1569,f1571,f1574,f1578,f1656,f1665,f1690,f1723,f1739,f1758,f1760,f1775,f1793,f1802,f1813,f1822,f1826,f1840,f1848,f1862,f1865,f1875,f1887,f1891,f1902,f1922,f1926,f1927,f1930,f1935,f1936,f1946,f1948,f1954,f1956,f1972,f1977,f1986,f2012,f2028,f2032,f2044,f2055,f2107,f2118,f2122,f2132,f2137,f2143,f2148,f2155,f2167,f2175,f2186,f2206,f2211,f2228,f2251,f2252,f2258,f2277,f2284,f2299,f2307,f2318,f2335,f2337,f2344,f2361,f2362,f2379,f2380,f2381,f2402,f2437,f2478]) ).

fof(f2478,plain,
    ( ~ spl3_19
    | ~ spl3_61
    | ~ spl3_106 ),
    inference(avatar_contradiction_clause,[],[f2477]) ).

fof(f2477,plain,
    ( $false
    | ~ spl3_19
    | ~ spl3_61
    | ~ spl3_106 ),
    inference(subsumption_resolution,[],[f2476,f170]) ).

fof(f170,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f4]) ).

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

fof(f2476,plain,
    ( e0 = e3
    | ~ spl3_19
    | ~ spl3_61
    | ~ spl3_106 ),
    inference(forward_demodulation,[],[f2216,f301]) ).

fof(f301,plain,
    ( e3 = op(e2,e0)
    | ~ spl3_19 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f299,plain,
    ( spl3_19
  <=> e3 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).

fof(f2216,plain,
    ( e0 = op(e2,e0)
    | ~ spl3_61
    | ~ spl3_106 ),
    inference(forward_demodulation,[],[f728,f491]) ).

fof(f491,plain,
    ( e0 = op(e3,e2)
    | ~ spl3_61 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f489,plain,
    ( spl3_61
  <=> e0 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_61])]) ).

fof(f728,plain,
    ( op(e3,e2) = op(e2,op(e3,e2))
    | ~ spl3_106 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f726,plain,
    ( spl3_106
  <=> op(e3,e2) = op(e2,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_106])]) ).

fof(f2437,plain,
    ( ~ spl3_24
    | ~ spl3_41
    | ~ spl3_63 ),
    inference(avatar_contradiction_clause,[],[f2436]) ).

fof(f2436,plain,
    ( $false
    | ~ spl3_24
    | ~ spl3_41
    | ~ spl3_63 ),
    inference(subsumption_resolution,[],[f2435,f169]) ).

fof(f169,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f2435,plain,
    ( e2 = e3
    | ~ spl3_24
    | ~ spl3_41
    | ~ spl3_63 ),
    inference(forward_demodulation,[],[f2434,f398]) ).

fof(f398,plain,
    ( e3 = op(e1,e2)
    | ~ spl3_41 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f396,plain,
    ( spl3_41
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_41])]) ).

fof(f2434,plain,
    ( e2 = op(e1,e2)
    | ~ spl3_24
    | ~ spl3_63 ),
    inference(forward_demodulation,[],[f500,f323]) ).

fof(f323,plain,
    ( e2 = op(e3,e1)
    | ~ spl3_24 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f321,plain,
    ( spl3_24
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).

fof(f500,plain,
    ( op(e3,e1) = op(e1,op(e3,e1))
    | ~ spl3_63 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f498,plain,
    ( spl3_63
  <=> op(e3,e1) = op(e1,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_63])]) ).

fof(f2402,plain,
    ( ~ spl3_64
    | ~ spl3_44
    | spl3_91 ),
    inference(avatar_split_clause,[],[f2400,f636,f410,f503]) ).

fof(f503,plain,
    ( spl3_64
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_64])]) ).

fof(f410,plain,
    ( spl3_44
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_44])]) ).

fof(f636,plain,
    ( spl3_91
  <=> e2 = op(op(e3,e0),op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_91])]) ).

fof(f2400,plain,
    ( e2 != op(e1,e1)
    | ~ spl3_44
    | spl3_91 ),
    inference(backward_demodulation,[],[f638,f412]) ).

fof(f412,plain,
    ( e1 = op(e3,e0)
    | ~ spl3_44 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f638,plain,
    ( e2 != op(op(e3,e0),op(e3,e0))
    | spl3_91 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f2381,plain,
    ( ~ spl3_18
    | ~ spl3_19 ),
    inference(avatar_split_clause,[],[f2377,f299,f295]) ).

fof(f295,plain,
    ( spl3_18
  <=> e3 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).

fof(f2377,plain,
    ( e3 != op(e2,e3)
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f132,f301]) ).

fof(f132,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f2380,plain,
    ( ~ spl3_20
    | ~ spl3_19 ),
    inference(avatar_split_clause,[],[f2375,f299,f303]) ).

fof(f303,plain,
    ( spl3_20
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).

fof(f2375,plain,
    ( e3 != op(e2,e1)
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f104,f301]) ).

fof(f104,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2379,plain,
    ( ~ spl3_40
    | ~ spl3_19 ),
    inference(avatar_split_clause,[],[f2378,f299,f392]) ).

fof(f392,plain,
    ( spl3_40
  <=> e3 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_40])]) ).

fof(f2378,plain,
    ( e3 != op(e1,e0)
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f107,f301]) ).

fof(f107,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2362,plain,
    ( ~ spl3_80
    | ~ spl3_71 ),
    inference(avatar_split_clause,[],[f2357,f534,f577]) ).

fof(f577,plain,
    ( spl3_80
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_80])]) ).

fof(f534,plain,
    ( spl3_71
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_71])]) ).

fof(f2357,plain,
    ( e0 != op(e1,e0)
    | ~ spl3_71 ),
    inference(backward_demodulation,[],[f136,f536]) ).

fof(f536,plain,
    ( e0 = op(e0,e0)
    | ~ spl3_71 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f136,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2361,plain,
    ( ~ spl3_75
    | ~ spl3_71 ),
    inference(avatar_split_clause,[],[f2359,f534,f552]) ).

fof(f552,plain,
    ( spl3_75
  <=> e0 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_75])]) ).

fof(f2359,plain,
    ( e0 != op(e2,e0)
    | ~ spl3_71 ),
    inference(backward_demodulation,[],[f135,f536]) ).

fof(f135,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2344,plain,
    ( ~ spl3_80
    | ~ spl3_12 ),
    inference(avatar_split_clause,[],[f2343,f269,f577]) ).

fof(f269,plain,
    ( spl3_12
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

fof(f2343,plain,
    ( e0 != op(e1,e0)
    | ~ spl3_12 ),
    inference(backward_demodulation,[],[f144,f271]) ).

fof(f271,plain,
    ( e0 = op(e1,e3)
    | ~ spl3_12 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f144,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2337,plain,
    ( spl3_24
    | ~ spl3_41 ),
    inference(avatar_split_clause,[],[f2336,f396,f321]) ).

fof(f2336,plain,
    ( e2 = op(e3,e1)
    | ~ spl3_41 ),
    inference(forward_demodulation,[],[f78,f398]) ).

fof(f78,plain,
    e2 = op(op(e1,e2),e1),
    inference(cnf_transformation,[],[f57]) ).

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

fof(f54,plain,
    ( ( op(e3,e3) = op(e3,op(e3,e3))
      & op(e0,e3) = op(e3,op(e0,e3))
      & op(e1,e3) = op(e3,op(e1,e3))
      & op(e2,e3) = op(e3,op(e2,e3)) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f55,plain,
    ( ( op(e1,e2) = op(e2,op(e1,e2))
      & op(e2,e2) = op(e2,op(e2,e2))
      & op(e3,e2) = op(e2,op(e3,e2))
      & op(e0,e2) = op(e2,op(e0,e2)) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f56,plain,
    ( ( op(e0,e0) = op(e0,op(e0,e0))
      & op(e1,e0) = op(e0,op(e1,e0))
      & op(e2,e0) = op(e0,op(e2,e0))
      & op(e3,e0) = op(e0,op(e3,e0)) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

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

fof(f2335,plain,
    ( ~ spl3_40
    | ~ spl3_41 ),
    inference(avatar_split_clause,[],[f2334,f396,f392]) ).

fof(f2334,plain,
    ( e3 != op(e1,e0)
    | ~ spl3_41 ),
    inference(forward_demodulation,[],[f103,f398]) ).

fof(f103,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2318,plain,
    ( ~ spl3_20
    | ~ spl3_84 ),
    inference(avatar_split_clause,[],[f2317,f598,f303]) ).

fof(f598,plain,
    ( spl3_84
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_84])]) ).

fof(f2317,plain,
    ( e3 != op(e2,e1)
    | ~ spl3_84 ),
    inference(forward_demodulation,[],[f111,f600]) ).

fof(f600,plain,
    ( e3 = op(e0,e1)
    | ~ spl3_84 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f111,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2307,plain,
    ( ~ spl3_48
    | ~ spl3_51
    | ~ spl3_85 ),
    inference(avatar_contradiction_clause,[],[f2306]) ).

fof(f2306,plain,
    ( $false
    | ~ spl3_48
    | ~ spl3_51
    | ~ spl3_85 ),
    inference(subsumption_resolution,[],[f2305,f173]) ).

fof(f173,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f2305,plain,
    ( e1 = e2
    | ~ spl3_48
    | ~ spl3_51
    | ~ spl3_85 ),
    inference(forward_demodulation,[],[f2304,f445]) ).

fof(f445,plain,
    ( e2 = op(e2,e1)
    | ~ spl3_51 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f443,plain,
    ( spl3_51
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_51])]) ).

fof(f2304,plain,
    ( e1 = op(e2,e1)
    | ~ spl3_48
    | ~ spl3_85 ),
    inference(forward_demodulation,[],[f432,f605]) ).

fof(f605,plain,
    ( e1 = op(e2,e2)
    | ~ spl3_85 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f603,plain,
    ( spl3_85
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_85])]) ).

fof(f432,plain,
    ( op(e2,e2) = op(e2,op(e2,e2))
    | ~ spl3_48 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f430,plain,
    ( spl3_48
  <=> op(e2,e2) = op(e2,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_48])]) ).

fof(f2299,plain,
    ( ~ spl3_72
    | ~ spl3_85 ),
    inference(avatar_contradiction_clause,[],[f2298]) ).

fof(f2298,plain,
    ( $false
    | ~ spl3_72
    | ~ spl3_85 ),
    inference(subsumption_resolution,[],[f2297,f540]) ).

fof(f540,plain,
    ( e1 = op(e0,e2)
    | ~ spl3_72 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f539,plain,
    ( spl3_72
  <=> e1 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_72])]) ).

fof(f2297,plain,
    ( e1 != op(e0,e2)
    | ~ spl3_85 ),
    inference(forward_demodulation,[],[f139,f605]) ).

fof(f139,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2284,plain,
    ( ~ spl3_25
    | ~ spl3_92 ),
    inference(avatar_contradiction_clause,[],[f2283]) ).

fof(f2283,plain,
    ( $false
    | ~ spl3_25
    | ~ spl3_92 ),
    inference(subsumption_resolution,[],[f2282,f173]) ).

fof(f2282,plain,
    ( e1 = e2
    | ~ spl3_25
    | ~ spl3_92 ),
    inference(forward_demodulation,[],[f2281,f327]) ).

fof(f327,plain,
    ( e2 = op(e3,e3)
    | ~ spl3_25 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f325,plain,
    ( spl3_25
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).

fof(f2281,plain,
    ( e1 = op(e3,e3)
    | ~ spl3_92 ),
    inference(forward_demodulation,[],[f90,f643]) ).

fof(f643,plain,
    ( e3 = op(e3,e1)
    | ~ spl3_92 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f641,plain,
    ( spl3_92
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_92])]) ).

fof(f90,plain,
    e1 = op(op(e3,e1),e3),
    inference(cnf_transformation,[],[f57]) ).

fof(f2277,plain,
    ( ~ spl3_32
    | ~ spl3_72 ),
    inference(avatar_contradiction_clause,[],[f2276]) ).

fof(f2276,plain,
    ( $false
    | ~ spl3_32
    | ~ spl3_72 ),
    inference(subsumption_resolution,[],[f2275,f173]) ).

fof(f2275,plain,
    ( e1 = e2
    | ~ spl3_32
    | ~ spl3_72 ),
    inference(forward_demodulation,[],[f2266,f359]) ).

fof(f359,plain,
    ( e1 = op(e1,e0)
    | ~ spl3_32 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f357,plain,
    ( spl3_32
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).

fof(f2266,plain,
    ( e2 = op(e1,e0)
    | ~ spl3_72 ),
    inference(backward_demodulation,[],[f86,f540]) ).

fof(f86,plain,
    e2 = op(op(e0,e2),e0),
    inference(cnf_transformation,[],[f57]) ).

fof(f2258,plain,
    ( ~ spl3_56
    | ~ spl3_59
    | ~ spl3_97 ),
    inference(avatar_contradiction_clause,[],[f2257]) ).

fof(f2257,plain,
    ( $false
    | ~ spl3_56
    | ~ spl3_59
    | ~ spl3_97 ),
    inference(subsumption_resolution,[],[f2256,f170]) ).

fof(f2256,plain,
    ( e0 = e3
    | ~ spl3_56
    | ~ spl3_59
    | ~ spl3_97 ),
    inference(forward_demodulation,[],[f2255,f468]) ).

fof(f468,plain,
    ( e3 = op(e3,e0)
    | ~ spl3_56 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f466,plain,
    ( spl3_56
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_56])]) ).

fof(f2255,plain,
    ( e0 = op(e3,e0)
    | ~ spl3_59
    | ~ spl3_97 ),
    inference(forward_demodulation,[],[f482,f674]) ).

fof(f674,plain,
    ( e0 = op(e0,e3)
    | ~ spl3_97 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f672,plain,
    ( spl3_97
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_97])]) ).

fof(f482,plain,
    ( op(e0,e3) = op(e3,op(e0,e3))
    | ~ spl3_59 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f480,plain,
    ( spl3_59
  <=> op(e0,e3) = op(e3,op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_59])]) ).

fof(f2252,plain,
    ( spl3_70
    | ~ spl3_97
    | ~ spl3_102 ),
    inference(avatar_split_clause,[],[f2249,f703,f672,f530]) ).

fof(f530,plain,
    ( spl3_70
  <=> op(e0,e0) = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_70])]) ).

fof(f703,plain,
    ( spl3_102
  <=> e2 = op(op(e0,e3),op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_102])]) ).

fof(f2249,plain,
    ( op(e0,e0) = e2
    | ~ spl3_97
    | ~ spl3_102 ),
    inference(backward_demodulation,[],[f704,f674]) ).

fof(f704,plain,
    ( e2 = op(op(e0,e3),op(e0,e3))
    | ~ spl3_102 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f2251,plain,
    ( spl3_69
    | ~ spl3_97 ),
    inference(avatar_contradiction_clause,[],[f2250]) ).

fof(f2250,plain,
    ( $false
    | spl3_69
    | ~ spl3_97 ),
    inference(subsumption_resolution,[],[f2244,f527]) ).

fof(f527,plain,
    ( op(e0,e0) != e3
    | spl3_69 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f526,plain,
    ( spl3_69
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_69])]) ).

fof(f2244,plain,
    ( op(e0,e0) = e3
    | ~ spl3_97 ),
    inference(backward_demodulation,[],[f76,f674]) ).

fof(f76,plain,
    e3 = op(op(e0,e3),e0),
    inference(cnf_transformation,[],[f57]) ).

fof(f2228,plain,
    ( ~ spl3_25
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f2227]) ).

fof(f2227,plain,
    ( $false
    | ~ spl3_25
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f2226,f173]) ).

fof(f2226,plain,
    ( e1 = e2
    | ~ spl3_25
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f345,f327]) ).

fof(f345,plain,
    ( e1 = op(e3,e3)
    | ~ spl3_29 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f343,plain,
    ( spl3_29
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).

fof(f2211,plain,
    ( ~ spl3_32
    | ~ spl3_47
    | ~ spl3_65 ),
    inference(avatar_contradiction_clause,[],[f2210]) ).

fof(f2210,plain,
    ( $false
    | ~ spl3_32
    | ~ spl3_47
    | ~ spl3_65 ),
    inference(subsumption_resolution,[],[f2209,f172]) ).

fof(f172,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f4]) ).

fof(f2209,plain,
    ( e0 = e1
    | ~ spl3_32
    | ~ spl3_47
    | ~ spl3_65 ),
    inference(forward_demodulation,[],[f2208,f359]) ).

fof(f2208,plain,
    ( e0 = op(e1,e0)
    | ~ spl3_47
    | ~ spl3_65 ),
    inference(forward_demodulation,[],[f427,f509]) ).

fof(f509,plain,
    ( e0 = op(e1,e1)
    | ~ spl3_65 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f507,plain,
    ( spl3_65
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_65])]) ).

fof(f427,plain,
    ( op(e1,e1) = op(e1,op(e1,e1))
    | ~ spl3_47 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f425,plain,
    ( spl3_47
  <=> op(e1,e1) = op(e1,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_47])]) ).

fof(f2206,plain,
    ( spl3_60
    | ~ spl3_75 ),
    inference(avatar_contradiction_clause,[],[f2205]) ).

fof(f2205,plain,
    ( $false
    | spl3_60
    | ~ spl3_75 ),
    inference(subsumption_resolution,[],[f1854,f486]) ).

fof(f486,plain,
    ( e0 != op(e0,e2)
    | spl3_60 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f485,plain,
    ( spl3_60
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_60])]) ).

fof(f1854,plain,
    ( e0 = op(e0,e2)
    | ~ spl3_75 ),
    inference(backward_demodulation,[],[f88,f554]) ).

fof(f554,plain,
    ( e0 = op(e2,e0)
    | ~ spl3_75 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f88,plain,
    e0 = op(op(e2,e0),e2),
    inference(cnf_transformation,[],[f57]) ).

fof(f2186,plain,
    ( ~ spl3_18
    | ~ spl3_15 ),
    inference(avatar_split_clause,[],[f2177,f281,f295]) ).

fof(f281,plain,
    ( spl3_15
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).

fof(f2177,plain,
    ( e3 != op(e2,e3)
    | ~ spl3_15 ),
    inference(backward_demodulation,[],[f118,f283]) ).

fof(f283,plain,
    ( e3 = op(e1,e3)
    | ~ spl3_15 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f118,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2175,plain,
    ( spl3_58
    | ~ spl3_61 ),
    inference(avatar_contradiction_clause,[],[f2174]) ).

fof(f2174,plain,
    ( $false
    | spl3_58
    | ~ spl3_61 ),
    inference(subsumption_resolution,[],[f2000,f476]) ).

fof(f476,plain,
    ( e2 != op(e0,e3)
    | spl3_58 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f475,plain,
    ( spl3_58
  <=> e2 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_58])]) ).

fof(f2000,plain,
    ( e2 = op(e0,e3)
    | ~ spl3_61 ),
    inference(forward_demodulation,[],[f89,f491]) ).

fof(f89,plain,
    e2 = op(op(e3,e2),e3),
    inference(cnf_transformation,[],[f57]) ).

fof(f2167,plain,
    ( ~ spl3_65
    | ~ spl3_84 ),
    inference(avatar_contradiction_clause,[],[f2166]) ).

fof(f2166,plain,
    ( $false
    | ~ spl3_65
    | ~ spl3_84 ),
    inference(subsumption_resolution,[],[f2165,f174]) ).

fof(f174,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f2165,plain,
    ( e1 = e3
    | ~ spl3_65
    | ~ spl3_84 ),
    inference(forward_demodulation,[],[f2163,f600]) ).

fof(f2163,plain,
    ( e1 = op(e0,e1)
    | ~ spl3_65 ),
    inference(backward_demodulation,[],[f74,f509]) ).

fof(f74,plain,
    e1 = op(op(e1,e1),e1),
    inference(cnf_transformation,[],[f57]) ).

fof(f2155,plain,
    ( spl3_18
    | ~ spl3_25 ),
    inference(avatar_split_clause,[],[f2150,f325,f295]) ).

fof(f2150,plain,
    ( e3 = op(e2,e3)
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f91,f327]) ).

fof(f91,plain,
    e3 = op(op(e3,e3),e3),
    inference(cnf_transformation,[],[f57]) ).

fof(f2148,plain,
    ( ~ spl3_8
    | ~ spl3_61 ),
    inference(avatar_split_clause,[],[f2108,f489,f251]) ).

fof(f251,plain,
    ( spl3_8
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

fof(f2108,plain,
    ( e0 != op(e1,e2)
    | ~ spl3_61 ),
    inference(forward_demodulation,[],[f102,f491]) ).

fof(f102,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2143,plain,
    ( spl3_28
    | ~ spl3_56 ),
    inference(avatar_split_clause,[],[f2141,f466,f339]) ).

fof(f339,plain,
    ( spl3_28
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).

fof(f2141,plain,
    ( e0 = op(e3,e3)
    | ~ spl3_56 ),
    inference(backward_demodulation,[],[f85,f468]) ).

fof(f85,plain,
    e0 = op(op(e3,e0),e3),
    inference(cnf_transformation,[],[f57]) ).

fof(f2137,plain,
    ( spl3_44
    | ~ spl3_84 ),
    inference(avatar_split_clause,[],[f2136,f598,f410]) ).

fof(f2136,plain,
    ( e1 = op(e3,e0)
    | ~ spl3_84 ),
    inference(forward_demodulation,[],[f79,f600]) ).

fof(f79,plain,
    e1 = op(op(e0,e1),e0),
    inference(cnf_transformation,[],[f57]) ).

fof(f2132,plain,
    ( ~ spl3_56
    | ~ spl3_92 ),
    inference(avatar_split_clause,[],[f2130,f641,f466]) ).

fof(f2130,plain,
    ( e3 != op(e3,e0)
    | ~ spl3_92 ),
    inference(backward_demodulation,[],[f123,f643]) ).

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

fof(f2122,plain,
    ( spl3_78
    | ~ spl3_85 ),
    inference(avatar_split_clause,[],[f2121,f603,f567]) ).

fof(f567,plain,
    ( spl3_78
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_78])]) ).

fof(f2121,plain,
    ( e2 = op(e1,e2)
    | ~ spl3_85 ),
    inference(forward_demodulation,[],[f73,f605]) ).

fof(f73,plain,
    e2 = op(op(e2,e2),e2),
    inference(cnf_transformation,[],[f57]) ).

fof(f2118,plain,
    ( ~ spl3_38
    | ~ spl3_85 ),
    inference(avatar_split_clause,[],[f2117,f603,f383]) ).

fof(f383,plain,
    ( spl3_38
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_38])]) ).

fof(f2117,plain,
    ( e1 != op(e2,e3)
    | ~ spl3_85 ),
    inference(forward_demodulation,[],[f122,f605]) ).

fof(f122,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2107,plain,
    ( ~ spl3_12
    | ~ spl3_43 ),
    inference(avatar_contradiction_clause,[],[f2106]) ).

fof(f2106,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_43 ),
    inference(subsumption_resolution,[],[f2105,f172]) ).

fof(f2105,plain,
    ( e0 = e1
    | ~ spl3_12
    | ~ spl3_43 ),
    inference(forward_demodulation,[],[f2103,f271]) ).

fof(f2103,plain,
    ( e1 = op(e1,e3)
    | ~ spl3_43 ),
    inference(backward_demodulation,[],[f90,f408]) ).

fof(f408,plain,
    ( e1 = op(e3,e1)
    | ~ spl3_43 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f406,plain,
    ( spl3_43
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_43])]) ).

fof(f2055,plain,
    ( ~ spl3_2
    | ~ spl3_12
    | ~ spl3_104 ),
    inference(avatar_contradiction_clause,[],[f2054]) ).

fof(f2054,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_12
    | ~ spl3_104 ),
    inference(subsumption_resolution,[],[f2053,f171]) ).

fof(f171,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f2053,plain,
    ( e0 = e2
    | ~ spl3_2
    | ~ spl3_12
    | ~ spl3_104 ),
    inference(forward_demodulation,[],[f2051,f225]) ).

fof(f225,plain,
    ( e2 = op(e3,e0)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl3_2
  <=> e2 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f2051,plain,
    ( e0 = op(e3,e0)
    | ~ spl3_12
    | ~ spl3_104 ),
    inference(backward_demodulation,[],[f716,f271]) ).

fof(f716,plain,
    ( op(e1,e3) = op(e3,op(e1,e3))
    | ~ spl3_104 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f714,plain,
    ( spl3_104
  <=> op(e1,e3) = op(e3,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_104])]) ).

fof(f2044,plain,
    ( ~ spl3_2
    | ~ spl3_38 ),
    inference(avatar_contradiction_clause,[],[f2043]) ).

fof(f2043,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_38 ),
    inference(subsumption_resolution,[],[f2042,f172]) ).

fof(f2042,plain,
    ( e0 = e1
    | ~ spl3_2
    | ~ spl3_38 ),
    inference(forward_demodulation,[],[f1441,f385]) ).

fof(f385,plain,
    ( e1 = op(e2,e3)
    | ~ spl3_38 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f1441,plain,
    ( e0 = op(e2,e3)
    | ~ spl3_2 ),
    inference(forward_demodulation,[],[f85,f225]) ).

fof(f2032,plain,
    ( ~ spl3_38
    | spl3_41 ),
    inference(avatar_contradiction_clause,[],[f2031]) ).

fof(f2031,plain,
    ( $false
    | ~ spl3_38
    | spl3_41 ),
    inference(subsumption_resolution,[],[f2030,f397]) ).

fof(f397,plain,
    ( e3 != op(e1,e2)
    | spl3_41 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f2030,plain,
    ( e3 = op(e1,e2)
    | ~ spl3_38 ),
    inference(forward_demodulation,[],[f77,f385]) ).

fof(f77,plain,
    e3 = op(op(e2,e3),e2),
    inference(cnf_transformation,[],[f57]) ).

fof(f2028,plain,
    ( spl3_43
    | ~ spl3_38
    | ~ spl3_45 ),
    inference(avatar_split_clause,[],[f2027,f415,f383,f406]) ).

fof(f415,plain,
    ( spl3_45
  <=> op(e2,e3) = op(e3,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_45])]) ).

fof(f2027,plain,
    ( e1 = op(e3,e1)
    | ~ spl3_38
    | ~ spl3_45 ),
    inference(forward_demodulation,[],[f417,f385]) ).

fof(f417,plain,
    ( op(e2,e3) = op(e3,op(e2,e3))
    | ~ spl3_45 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f2012,plain,
    ( ~ spl3_61
    | ~ spl3_75
    | spl3_106 ),
    inference(avatar_contradiction_clause,[],[f2011]) ).

fof(f2011,plain,
    ( $false
    | ~ spl3_61
    | ~ spl3_75
    | spl3_106 ),
    inference(subsumption_resolution,[],[f2010,f554]) ).

fof(f2010,plain,
    ( e0 != op(e2,e0)
    | ~ spl3_61
    | spl3_106 ),
    inference(forward_demodulation,[],[f727,f491]) ).

fof(f727,plain,
    ( op(e3,e2) != op(e2,op(e3,e2))
    | spl3_106 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f1986,plain,
    ( ~ spl3_50
    | ~ spl3_51 ),
    inference(avatar_split_clause,[],[f1984,f443,f439]) ).

fof(f439,plain,
    ( spl3_50
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_50])]) ).

fof(f1984,plain,
    ( e2 != op(e2,e3)
    | ~ spl3_51 ),
    inference(backward_demodulation,[],[f138,f445]) ).

fof(f138,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1977,plain,
    ( ~ spl3_32
    | ~ spl3_64 ),
    inference(avatar_contradiction_clause,[],[f1976]) ).

fof(f1976,plain,
    ( $false
    | ~ spl3_32
    | ~ spl3_64 ),
    inference(subsumption_resolution,[],[f1975,f171]) ).

fof(f1975,plain,
    ( e0 = e2
    | ~ spl3_32
    | ~ spl3_64 ),
    inference(forward_demodulation,[],[f1974,f505]) ).

fof(f505,plain,
    ( e2 = op(e1,e1)
    | ~ spl3_64 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f1974,plain,
    ( e0 = op(e1,e1)
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f80,f359]) ).

fof(f80,plain,
    e0 = op(op(e1,e0),e1),
    inference(cnf_transformation,[],[f57]) ).

fof(f1972,plain,
    ( ~ spl3_39
    | ~ spl3_64 ),
    inference(avatar_contradiction_clause,[],[f1971]) ).

fof(f1971,plain,
    ( $false
    | ~ spl3_39
    | ~ spl3_64 ),
    inference(subsumption_resolution,[],[f1970,f169]) ).

fof(f1970,plain,
    ( e2 = e3
    | ~ spl3_39
    | ~ spl3_64 ),
    inference(forward_demodulation,[],[f390,f505]) ).

fof(f390,plain,
    ( e3 = op(e1,e1)
    | ~ spl3_39 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f388,plain,
    ( spl3_39
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_39])]) ).

fof(f1956,plain,
    ( ~ spl3_34
    | ~ spl3_32 ),
    inference(avatar_split_clause,[],[f1955,f357,f365]) ).

fof(f365,plain,
    ( spl3_34
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).

fof(f1955,plain,
    ( e1 != op(e1,e2)
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f103,f359]) ).

fof(f1954,plain,
    ( ~ spl3_82
    | ~ spl3_64 ),
    inference(avatar_split_clause,[],[f1785,f503,f588]) ).

fof(f588,plain,
    ( spl3_82
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_82])]) ).

fof(f1785,plain,
    ( e2 != op(e0,e1)
    | ~ spl3_64 ),
    inference(forward_demodulation,[],[f145,f505]) ).

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

fof(f1948,plain,
    ( ~ spl3_13
    | ~ spl3_64 ),
    inference(avatar_split_clause,[],[f1947,f503,f273]) ).

fof(f273,plain,
    ( spl3_13
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).

fof(f1947,plain,
    ( e2 != op(e1,e3)
    | ~ spl3_64 ),
    inference(forward_demodulation,[],[f112,f505]) ).

fof(f112,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1946,plain,
    ( ~ spl3_92
    | ~ spl3_27 ),
    inference(avatar_split_clause,[],[f1592,f335,f641]) ).

fof(f335,plain,
    ( spl3_27
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).

fof(f1592,plain,
    ( e3 != op(e3,e1)
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f128,f337]) ).

fof(f337,plain,
    ( e3 = op(e3,e3)
    | ~ spl3_27 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f128,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1936,plain,
    ( ~ spl3_15
    | ~ spl3_27 ),
    inference(avatar_split_clause,[],[f1595,f335,f281]) ).

fof(f1595,plain,
    ( e3 != op(e1,e3)
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f99,f337]) ).

fof(f99,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1935,plain,
    ( ~ spl3_32
    | ~ spl3_68 ),
    inference(avatar_contradiction_clause,[],[f1934]) ).

fof(f1934,plain,
    ( $false
    | ~ spl3_32
    | ~ spl3_68 ),
    inference(subsumption_resolution,[],[f1933,f172]) ).

fof(f1933,plain,
    ( e0 = e1
    | ~ spl3_32
    | ~ spl3_68 ),
    inference(forward_demodulation,[],[f1931,f359]) ).

fof(f1931,plain,
    ( e0 = op(e1,e0)
    | ~ spl3_68 ),
    inference(backward_demodulation,[],[f75,f524]) ).

fof(f524,plain,
    ( op(e0,e0) = e1
    | ~ spl3_68 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f522,plain,
    ( spl3_68
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_68])]) ).

fof(f75,plain,
    e0 = op(op(e0,e0),e0),
    inference(cnf_transformation,[],[f57]) ).

fof(f1930,plain,
    ( ~ spl3_58
    | ~ spl3_75 ),
    inference(avatar_contradiction_clause,[],[f1929]) ).

fof(f1929,plain,
    ( $false
    | ~ spl3_58
    | ~ spl3_75 ),
    inference(subsumption_resolution,[],[f1928,f170]) ).

fof(f1928,plain,
    ( e0 = e3
    | ~ spl3_58
    | ~ spl3_75 ),
    inference(forward_demodulation,[],[f1924,f554]) ).

fof(f1924,plain,
    ( e3 = op(e2,e0)
    | ~ spl3_58 ),
    inference(backward_demodulation,[],[f76,f477]) ).

fof(f477,plain,
    ( e2 = op(e0,e3)
    | ~ spl3_58 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f1927,plain,
    ( ~ spl3_50
    | ~ spl3_58 ),
    inference(avatar_split_clause,[],[f1923,f475,f439]) ).

fof(f1923,plain,
    ( e2 != op(e2,e3)
    | ~ spl3_58 ),
    inference(backward_demodulation,[],[f100,f477]) ).

fof(f100,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1926,plain,
    ( ~ spl3_70
    | ~ spl3_58 ),
    inference(avatar_split_clause,[],[f1925,f475,f530]) ).

fof(f1925,plain,
    ( op(e0,e0) != e2
    | ~ spl3_58 ),
    inference(backward_demodulation,[],[f146,f477]) ).

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

fof(f1922,plain,
    ( ~ spl3_50
    | ~ spl3_52 ),
    inference(avatar_split_clause,[],[f1921,f447,f439]) ).

fof(f447,plain,
    ( spl3_52
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_52])]) ).

fof(f1921,plain,
    ( e2 != op(e2,e3)
    | ~ spl3_52 ),
    inference(forward_demodulation,[],[f122,f449]) ).

fof(f449,plain,
    ( e2 = op(e2,e2)
    | ~ spl3_52 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f1902,plain,
    ( ~ spl3_30
    | ~ spl3_64 ),
    inference(avatar_split_clause,[],[f1805,f503,f348]) ).

fof(f348,plain,
    ( spl3_30
  <=> e2 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).

fof(f1805,plain,
    ( e2 != op(e1,e0)
    | ~ spl3_64 ),
    inference(forward_demodulation,[],[f106,f505]) ).

fof(f106,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1891,plain,
    ( ~ spl3_2
    | ~ spl3_83 ),
    inference(avatar_contradiction_clause,[],[f1890]) ).

fof(f1890,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_83 ),
    inference(subsumption_resolution,[],[f1889,f169]) ).

fof(f1889,plain,
    ( e2 = e3
    | ~ spl3_2
    | ~ spl3_83 ),
    inference(forward_demodulation,[],[f1888,f225]) ).

fof(f1888,plain,
    ( e3 = op(e3,e0)
    | ~ spl3_83 ),
    inference(forward_demodulation,[],[f76,f596]) ).

fof(f596,plain,
    ( e3 = op(e0,e3)
    | ~ spl3_83 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f594,plain,
    ( spl3_83
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_83])]) ).

fof(f1887,plain,
    ( ~ spl3_41
    | ~ spl3_94 ),
    inference(avatar_contradiction_clause,[],[f1886]) ).

fof(f1886,plain,
    ( $false
    | ~ spl3_41
    | ~ spl3_94 ),
    inference(subsumption_resolution,[],[f1885,f171]) ).

fof(f1885,plain,
    ( e0 = e2
    | ~ spl3_41
    | ~ spl3_94 ),
    inference(forward_demodulation,[],[f1880,f656]) ).

fof(f656,plain,
    ( e0 = op(e3,e1)
    | ~ spl3_94 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f654,plain,
    ( spl3_94
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_94])]) ).

fof(f1880,plain,
    ( e2 = op(e3,e1)
    | ~ spl3_41 ),
    inference(backward_demodulation,[],[f78,f398]) ).

fof(f1875,plain,
    ( ~ spl3_2
    | ~ spl3_69 ),
    inference(avatar_contradiction_clause,[],[f1874]) ).

fof(f1874,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_69 ),
    inference(subsumption_resolution,[],[f1873,f171]) ).

fof(f1873,plain,
    ( e0 = e2
    | ~ spl3_2
    | ~ spl3_69 ),
    inference(forward_demodulation,[],[f1871,f225]) ).

fof(f1871,plain,
    ( e0 = op(e3,e0)
    | ~ spl3_69 ),
    inference(backward_demodulation,[],[f75,f528]) ).

fof(f528,plain,
    ( op(e0,e0) = e3
    | ~ spl3_69 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f1865,plain,
    ( ~ spl3_75
    | ~ spl3_99 ),
    inference(avatar_contradiction_clause,[],[f1864]) ).

fof(f1864,plain,
    ( $false
    | ~ spl3_75
    | ~ spl3_99 ),
    inference(subsumption_resolution,[],[f1863,f171]) ).

fof(f1863,plain,
    ( e0 = e2
    | ~ spl3_75
    | ~ spl3_99 ),
    inference(forward_demodulation,[],[f1854,f684]) ).

fof(f684,plain,
    ( e2 = op(e0,e2)
    | ~ spl3_99 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f682,plain,
    ( spl3_99
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_99])]) ).

fof(f1862,plain,
    ( ~ spl3_16
    | spl3_71
    | ~ spl3_75 ),
    inference(avatar_contradiction_clause,[],[f1861]) ).

fof(f1861,plain,
    ( $false
    | ~ spl3_16
    | spl3_71
    | ~ spl3_75 ),
    inference(subsumption_resolution,[],[f1856,f535]) ).

fof(f535,plain,
    ( e0 != op(e0,e0)
    | spl3_71 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f1856,plain,
    ( e0 = op(e0,e0)
    | ~ spl3_16
    | ~ spl3_75 ),
    inference(backward_demodulation,[],[f288,f554]) ).

fof(f288,plain,
    ( op(e2,e0) = op(e0,op(e2,e0))
    | ~ spl3_16 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f286,plain,
    ( spl3_16
  <=> op(e2,e0) = op(e0,op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).

fof(f1848,plain,
    ( ~ spl3_26
    | spl3_71
    | ~ spl3_80 ),
    inference(avatar_contradiction_clause,[],[f1847]) ).

fof(f1847,plain,
    ( $false
    | ~ spl3_26
    | spl3_71
    | ~ spl3_80 ),
    inference(subsumption_resolution,[],[f1846,f535]) ).

fof(f1846,plain,
    ( e0 = op(e0,e0)
    | ~ spl3_26
    | ~ spl3_80 ),
    inference(forward_demodulation,[],[f332,f579]) ).

fof(f579,plain,
    ( e0 = op(e1,e0)
    | ~ spl3_80 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f332,plain,
    ( op(e1,e0) = op(e0,op(e1,e0))
    | ~ spl3_26 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f330,plain,
    ( spl3_26
  <=> op(e1,e0) = op(e0,op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).

fof(f1840,plain,
    ( ~ spl3_69
    | ~ spl3_83 ),
    inference(avatar_split_clause,[],[f1839,f594,f526]) ).

fof(f1839,plain,
    ( op(e0,e0) != e3
    | ~ spl3_83 ),
    inference(forward_demodulation,[],[f146,f596]) ).

fof(f1826,plain,
    ( ~ spl3_21
    | ~ spl3_99 ),
    inference(avatar_contradiction_clause,[],[f1825]) ).

fof(f1825,plain,
    ( $false
    | ~ spl3_21
    | ~ spl3_99 ),
    inference(subsumption_resolution,[],[f1824,f169]) ).

fof(f1824,plain,
    ( e2 = e3
    | ~ spl3_21
    | ~ spl3_99 ),
    inference(forward_demodulation,[],[f1529,f684]) ).

fof(f1529,plain,
    ( e3 = op(e0,e2)
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f77,f309]) ).

fof(f309,plain,
    ( e0 = op(e2,e3)
    | ~ spl3_21 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f308,plain,
    ( spl3_21
  <=> e0 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).

fof(f1822,plain,
    ( ~ spl3_75
    | ~ spl3_80 ),
    inference(avatar_split_clause,[],[f1821,f577,f552]) ).

fof(f1821,plain,
    ( e0 != op(e2,e0)
    | ~ spl3_80 ),
    inference(forward_demodulation,[],[f107,f579]) ).

fof(f1813,plain,
    ( ~ spl3_83
    | ~ spl3_94 ),
    inference(avatar_contradiction_clause,[],[f1812]) ).

fof(f1812,plain,
    ( $false
    | ~ spl3_83
    | ~ spl3_94 ),
    inference(subsumption_resolution,[],[f1811,f174]) ).

fof(f1811,plain,
    ( e1 = e3
    | ~ spl3_83
    | ~ spl3_94 ),
    inference(forward_demodulation,[],[f1644,f596]) ).

fof(f1644,plain,
    ( e1 = op(e0,e3)
    | ~ spl3_94 ),
    inference(forward_demodulation,[],[f90,f656]) ).

fof(f1802,plain,
    ( spl3_49
    | ~ spl3_99 ),
    inference(avatar_split_clause,[],[f1801,f682,f435]) ).

fof(f435,plain,
    ( spl3_49
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_49])]) ).

fof(f1801,plain,
    ( e2 = op(e2,e0)
    | ~ spl3_99 ),
    inference(forward_demodulation,[],[f86,f684]) ).

fof(f1793,plain,
    ( ~ spl3_68
    | ~ spl3_21
    | spl3_22 ),
    inference(avatar_split_clause,[],[f1488,f312,f308,f522]) ).

fof(f312,plain,
    ( spl3_22
  <=> e1 = op(op(e2,e3),op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).

fof(f1488,plain,
    ( op(e0,e0) != e1
    | ~ spl3_21
    | spl3_22 ),
    inference(forward_demodulation,[],[f314,f309]) ).

fof(f314,plain,
    ( e1 != op(op(e2,e3),op(e2,e3))
    | spl3_22 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f1775,plain,
    ( ~ spl3_78
    | ~ spl3_13 ),
    inference(avatar_split_clause,[],[f1682,f273,f567]) ).

fof(f1682,plain,
    ( e2 != op(e1,e2)
    | ~ spl3_13 ),
    inference(forward_demodulation,[],[f140,f275]) ).

fof(f275,plain,
    ( e2 = op(e1,e3)
    | ~ spl3_13 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f140,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1760,plain,
    ( ~ spl3_70
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f1759,f224,f530]) ).

fof(f1759,plain,
    ( op(e0,e0) != e2
    | ~ spl3_2 ),
    inference(forward_demodulation,[],[f129,f225]) ).

fof(f129,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1758,plain,
    ( ~ spl3_49
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f1434,f224,f435]) ).

fof(f1434,plain,
    ( e2 != op(e2,e0)
    | ~ spl3_2 ),
    inference(forward_demodulation,[],[f127,f225]) ).

fof(f127,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1739,plain,
    ( ~ spl3_75
    | ~ spl3_21 ),
    inference(avatar_split_clause,[],[f1530,f308,f552]) ).

fof(f1530,plain,
    ( e0 != op(e2,e0)
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f132,f309]) ).

fof(f1723,plain,
    ( ~ spl3_8
    | ~ spl3_82
    | ~ spl3_107 ),
    inference(avatar_contradiction_clause,[],[f1722]) ).

fof(f1722,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_82
    | ~ spl3_107 ),
    inference(subsumption_resolution,[],[f1721,f171]) ).

fof(f1721,plain,
    ( e0 = e2
    | ~ spl3_8
    | ~ spl3_82
    | ~ spl3_107 ),
    inference(forward_demodulation,[],[f1720,f252]) ).

fof(f252,plain,
    ( e0 = op(e1,e2)
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f1720,plain,
    ( e2 = op(e1,e2)
    | ~ spl3_82
    | ~ spl3_107 ),
    inference(forward_demodulation,[],[f733,f590]) ).

fof(f590,plain,
    ( e2 = op(e0,e1)
    | ~ spl3_82 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f733,plain,
    ( op(e0,e1) = op(e1,op(e0,e1))
    | ~ spl3_107 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f731,plain,
    ( spl3_107
  <=> op(e0,e1) = op(e1,op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_107])]) ).

fof(f1690,plain,
    ( ~ spl3_39
    | ~ spl3_20 ),
    inference(avatar_split_clause,[],[f1689,f303,f388]) ).

fof(f1689,plain,
    ( e3 != op(e1,e1)
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f115,f305]) ).

fof(f305,plain,
    ( e3 = op(e2,e1)
    | ~ spl3_20 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f115,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1665,plain,
    ( ~ spl3_39
    | ~ spl3_40 ),
    inference(avatar_split_clause,[],[f1664,f392,f388]) ).

fof(f1664,plain,
    ( e3 != op(e1,e1)
    | ~ spl3_40 ),
    inference(forward_demodulation,[],[f106,f394]) ).

fof(f394,plain,
    ( e3 = op(e1,e0)
    | ~ spl3_40 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f1656,plain,
    ( ~ spl3_10
    | ~ spl3_20
    | ~ spl3_106 ),
    inference(avatar_contradiction_clause,[],[f1655]) ).

fof(f1655,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_20
    | ~ spl3_106 ),
    inference(subsumption_resolution,[],[f1654,f174]) ).

fof(f1654,plain,
    ( e1 = e3
    | ~ spl3_10
    | ~ spl3_20
    | ~ spl3_106 ),
    inference(forward_demodulation,[],[f1653,f305]) ).

fof(f1653,plain,
    ( e1 = op(e2,e1)
    | ~ spl3_10
    | ~ spl3_106 ),
    inference(forward_demodulation,[],[f728,f261]) ).

fof(f261,plain,
    ( e1 = op(e3,e2)
    | ~ spl3_10 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl3_10
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).

fof(f1578,plain,
    ( ~ spl3_62
    | ~ spl3_8 ),
    inference(avatar_split_clause,[],[f1577,f251,f493]) ).

fof(f493,plain,
    ( spl3_62
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_62])]) ).

fof(f1577,plain,
    ( e0 != op(e2,e2)
    | ~ spl3_8 ),
    inference(backward_demodulation,[],[f108,f252]) ).

fof(f108,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1574,plain,
    ( ~ spl3_39
    | ~ spl3_74
    | spl3_89 ),
    inference(avatar_split_clause,[],[f1282,f623,f548,f388]) ).

fof(f548,plain,
    ( spl3_74
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_74])]) ).

fof(f623,plain,
    ( spl3_89
  <=> e3 = op(op(e2,e0),op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_89])]) ).

fof(f1282,plain,
    ( e3 != op(e1,e1)
    | ~ spl3_74
    | spl3_89 ),
    inference(forward_demodulation,[],[f625,f550]) ).

fof(f550,plain,
    ( e1 = op(e2,e0)
    | ~ spl3_74 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f625,plain,
    ( e3 != op(op(e2,e0),op(e2,e0))
    | spl3_89 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f1571,plain,
    ( spl3_20
    | ~ spl3_13 ),
    inference(avatar_split_clause,[],[f1570,f273,f303]) ).

fof(f1570,plain,
    ( e3 = op(e2,e1)
    | ~ spl3_13 ),
    inference(backward_demodulation,[],[f92,f275]) ).

fof(f92,plain,
    e3 = op(op(e1,e3),e1),
    inference(cnf_transformation,[],[f57]) ).

fof(f1569,plain,
    ( spl3_8
    | ~ spl3_74 ),
    inference(avatar_split_clause,[],[f1272,f548,f251]) ).

fof(f1272,plain,
    ( e0 = op(e1,e2)
    | ~ spl3_74 ),
    inference(forward_demodulation,[],[f88,f550]) ).

fof(f1565,plain,
    ( ~ spl3_2
    | ~ spl3_21
    | ~ spl3_45 ),
    inference(avatar_contradiction_clause,[],[f1564]) ).

fof(f1564,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_21
    | ~ spl3_45 ),
    inference(subsumption_resolution,[],[f1563,f171]) ).

fof(f1563,plain,
    ( e0 = e2
    | ~ spl3_2
    | ~ spl3_21
    | ~ spl3_45 ),
    inference(forward_demodulation,[],[f1562,f225]) ).

fof(f1562,plain,
    ( e0 = op(e3,e0)
    | ~ spl3_21
    | ~ spl3_45 ),
    inference(forward_demodulation,[],[f417,f309]) ).

fof(f1528,plain,
    ( ~ spl3_35
    | ~ spl3_65 ),
    inference(avatar_contradiction_clause,[],[f1527]) ).

fof(f1527,plain,
    ( $false
    | ~ spl3_35
    | ~ spl3_65 ),
    inference(subsumption_resolution,[],[f1526,f509]) ).

fof(f1526,plain,
    ( e0 != op(e1,e1)
    | ~ spl3_35 ),
    inference(forward_demodulation,[],[f115,f371]) ).

fof(f371,plain,
    ( e0 = op(e2,e1)
    | ~ spl3_35 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f370,plain,
    ( spl3_35
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).

fof(f1492,plain,
    ( ~ spl3_34
    | ~ spl3_78 ),
    inference(avatar_contradiction_clause,[],[f1491]) ).

fof(f1491,plain,
    ( $false
    | ~ spl3_34
    | ~ spl3_78 ),
    inference(subsumption_resolution,[],[f1490,f173]) ).

fof(f1490,plain,
    ( e1 = e2
    | ~ spl3_34
    | ~ spl3_78 ),
    inference(forward_demodulation,[],[f569,f367]) ).

fof(f367,plain,
    ( e1 = op(e1,e2)
    | ~ spl3_34 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f569,plain,
    ( e2 = op(e1,e2)
    | ~ spl3_78 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f1459,plain,
    ( ~ spl3_25
    | ~ spl3_40
    | spl3_67 ),
    inference(avatar_contradiction_clause,[],[f1458]) ).

fof(f1458,plain,
    ( $false
    | ~ spl3_25
    | ~ spl3_40
    | spl3_67 ),
    inference(subsumption_resolution,[],[f1452,f327]) ).

fof(f1452,plain,
    ( e2 != op(e3,e3)
    | ~ spl3_40
    | spl3_67 ),
    inference(backward_demodulation,[],[f519,f394]) ).

fof(f519,plain,
    ( e2 != op(op(e1,e0),op(e1,e0))
    | spl3_67 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f517,plain,
    ( spl3_67
  <=> e2 = op(op(e1,e0),op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_67])]) ).

fof(f1450,plain,
    ( ~ spl3_30
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f1449,f224,f348]) ).

fof(f1449,plain,
    ( e2 != op(e1,e0)
    | ~ spl3_2 ),
    inference(forward_demodulation,[],[f125,f225]) ).

fof(f125,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1430,plain,
    ( ~ spl3_34
    | ~ spl3_65 ),
    inference(avatar_contradiction_clause,[],[f1429]) ).

fof(f1429,plain,
    ( $false
    | ~ spl3_34
    | ~ spl3_65 ),
    inference(subsumption_resolution,[],[f1428,f171]) ).

fof(f1428,plain,
    ( e0 = e2
    | ~ spl3_34
    | ~ spl3_65 ),
    inference(forward_demodulation,[],[f1427,f509]) ).

fof(f1427,plain,
    ( e2 = op(e1,e1)
    | ~ spl3_34 ),
    inference(backward_demodulation,[],[f78,f367]) ).

fof(f1399,plain,
    ( ~ spl3_85
    | spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f1398,f224,f220,f603]) ).

fof(f220,plain,
    ( spl3_1
  <=> e1 = op(op(e3,e0),op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f1398,plain,
    ( e1 != op(e2,e2)
    | spl3_1
    | ~ spl3_2 ),
    inference(forward_demodulation,[],[f222,f225]) ).

fof(f222,plain,
    ( e1 != op(op(e3,e0),op(e3,e0))
    | spl3_1 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f1396,plain,
    ( ~ spl3_85
    | ~ spl3_74 ),
    inference(avatar_split_clause,[],[f1395,f548,f603]) ).

fof(f1395,plain,
    ( e1 != op(e2,e2)
    | ~ spl3_74 ),
    inference(forward_demodulation,[],[f113,f550]) ).

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

fof(f1388,plain,
    ( ~ spl3_65
    | ~ spl3_82 ),
    inference(avatar_contradiction_clause,[],[f1387]) ).

fof(f1387,plain,
    ( $false
    | ~ spl3_65
    | ~ spl3_82 ),
    inference(subsumption_resolution,[],[f1386,f173]) ).

fof(f1386,plain,
    ( e1 = e2
    | ~ spl3_65
    | ~ spl3_82 ),
    inference(forward_demodulation,[],[f1385,f590]) ).

fof(f1385,plain,
    ( e1 = op(e0,e1)
    | ~ spl3_65 ),
    inference(backward_demodulation,[],[f74,f509]) ).

fof(f1381,plain,
    ( ~ spl3_62
    | ~ spl3_61 ),
    inference(avatar_split_clause,[],[f1380,f489,f493]) ).

fof(f1380,plain,
    ( e0 != op(e2,e2)
    | ~ spl3_61 ),
    inference(backward_demodulation,[],[f117,f491]) ).

fof(f117,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1371,plain,
    ( ~ spl3_40
    | ~ spl3_15 ),
    inference(avatar_split_clause,[],[f1370,f281,f392]) ).

fof(f1370,plain,
    ( e3 != op(e1,e0)
    | ~ spl3_15 ),
    inference(forward_demodulation,[],[f144,f283]) ).

fof(f1369,plain,
    ( ~ spl3_17
    | ~ spl3_82
    | spl3_105 ),
    inference(avatar_split_clause,[],[f1196,f721,f588,f291]) ).

fof(f291,plain,
    ( spl3_17
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).

fof(f721,plain,
    ( spl3_105
  <=> e3 = op(op(e0,e1),op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_105])]) ).

fof(f1196,plain,
    ( e3 != op(e2,e2)
    | ~ spl3_82
    | spl3_105 ),
    inference(backward_demodulation,[],[f723,f590]) ).

fof(f723,plain,
    ( e3 != op(op(e0,e1),op(e0,e1))
    | spl3_105 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f1363,plain,
    ( ~ spl3_80
    | ~ spl3_82 ),
    inference(avatar_contradiction_clause,[],[f1362]) ).

fof(f1362,plain,
    ( $false
    | ~ spl3_80
    | ~ spl3_82 ),
    inference(subsumption_resolution,[],[f1361,f171]) ).

fof(f1361,plain,
    ( e0 = e2
    | ~ spl3_80
    | ~ spl3_82 ),
    inference(forward_demodulation,[],[f1354,f590]) ).

fof(f1354,plain,
    ( e0 = op(e0,e1)
    | ~ spl3_80 ),
    inference(backward_demodulation,[],[f80,f579]) ).

fof(f1340,plain,
    ( spl3_40
    | ~ spl3_37 ),
    inference(avatar_split_clause,[],[f1338,f379,f392]) ).

fof(f379,plain,
    ( spl3_37
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_37])]) ).

fof(f1338,plain,
    ( e3 = op(e1,e0)
    | ~ spl3_37 ),
    inference(backward_demodulation,[],[f76,f381]) ).

fof(f381,plain,
    ( e1 = op(e0,e3)
    | ~ spl3_37 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f1332,plain,
    ( ~ spl3_28
    | spl3_83 ),
    inference(avatar_contradiction_clause,[],[f1331]) ).

fof(f1331,plain,
    ( $false
    | ~ spl3_28
    | spl3_83 ),
    inference(subsumption_resolution,[],[f1325,f595]) ).

fof(f595,plain,
    ( e3 != op(e0,e3)
    | spl3_83 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f1325,plain,
    ( e3 = op(e0,e3)
    | ~ spl3_28 ),
    inference(backward_demodulation,[],[f91,f341]) ).

fof(f341,plain,
    ( e0 = op(e3,e3)
    | ~ spl3_28 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f1292,plain,
    ( ~ spl3_51
    | ~ spl3_62 ),
    inference(avatar_contradiction_clause,[],[f1291]) ).

fof(f1291,plain,
    ( $false
    | ~ spl3_51
    | ~ spl3_62 ),
    inference(subsumption_resolution,[],[f1290,f172]) ).

fof(f1290,plain,
    ( e0 = e1
    | ~ spl3_51
    | ~ spl3_62 ),
    inference(forward_demodulation,[],[f1286,f495]) ).

fof(f495,plain,
    ( e0 = op(e2,e2)
    | ~ spl3_62 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f1286,plain,
    ( e1 = op(e2,e2)
    | ~ spl3_51 ),
    inference(backward_demodulation,[],[f87,f445]) ).

fof(f87,plain,
    e1 = op(op(e2,e1),e2),
    inference(cnf_transformation,[],[f57]) ).

fof(f1279,plain,
    ( ~ spl3_29
    | ~ spl3_44 ),
    inference(avatar_split_clause,[],[f1278,f410,f343]) ).

fof(f1278,plain,
    ( e1 != op(e3,e3)
    | ~ spl3_44 ),
    inference(forward_demodulation,[],[f130,f412]) ).

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

fof(f1258,plain,
    ( ~ spl3_58
    | ~ spl3_82 ),
    inference(avatar_split_clause,[],[f1257,f588,f475]) ).

fof(f1257,plain,
    ( e2 != op(e0,e3)
    | ~ spl3_82 ),
    inference(forward_demodulation,[],[f116,f590]) ).

fof(f116,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1251,plain,
    ( ~ spl3_18
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f1250]) ).

fof(f1250,plain,
    ( $false
    | ~ spl3_18
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f1249,f169]) ).

fof(f1249,plain,
    ( e2 = e3
    | ~ spl3_18
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f1245,f297]) ).

fof(f297,plain,
    ( e3 = op(e2,e3)
    | ~ spl3_18 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f1245,plain,
    ( e2 = op(e2,e3)
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f89,f319]) ).

fof(f319,plain,
    ( e2 = op(e3,e2)
    | ~ spl3_23 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f317,plain,
    ( spl3_23
  <=> e2 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).

fof(f1236,plain,
    ( ~ spl3_16
    | ~ spl3_74
    | ~ spl3_82 ),
    inference(avatar_contradiction_clause,[],[f1235]) ).

fof(f1235,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_74
    | ~ spl3_82 ),
    inference(subsumption_resolution,[],[f1234,f173]) ).

fof(f1234,plain,
    ( e1 = e2
    | ~ spl3_16
    | ~ spl3_74
    | ~ spl3_82 ),
    inference(forward_demodulation,[],[f1233,f590]) ).

fof(f1233,plain,
    ( e1 = op(e0,e1)
    | ~ spl3_16
    | ~ spl3_74 ),
    inference(forward_demodulation,[],[f288,f550]) ).

fof(f1204,plain,
    ( ~ spl3_44
    | ~ spl3_74 ),
    inference(avatar_contradiction_clause,[],[f1203]) ).

fof(f1203,plain,
    ( $false
    | ~ spl3_44
    | ~ spl3_74 ),
    inference(subsumption_resolution,[],[f1202,f550]) ).

fof(f1202,plain,
    ( e1 != op(e2,e0)
    | ~ spl3_44 ),
    inference(forward_demodulation,[],[f127,f412]) ).

fof(f1179,plain,
    ( ~ spl3_32
    | ~ spl3_44 ),
    inference(avatar_split_clause,[],[f1178,f410,f357]) ).

fof(f1178,plain,
    ( e1 != op(e1,e0)
    | ~ spl3_44 ),
    inference(forward_demodulation,[],[f125,f412]) ).

fof(f1173,plain,
    ( ~ spl3_43
    | ~ spl3_44 ),
    inference(avatar_split_clause,[],[f1172,f410,f406]) ).

fof(f1172,plain,
    ( e1 != op(e3,e1)
    | ~ spl3_44 ),
    inference(forward_demodulation,[],[f123,f412]) ).

fof(f1165,plain,
    ( ~ spl3_13
    | ~ spl3_44 ),
    inference(avatar_contradiction_clause,[],[f1164]) ).

fof(f1164,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_44 ),
    inference(subsumption_resolution,[],[f1163,f171]) ).

fof(f1163,plain,
    ( e0 = e2
    | ~ spl3_13
    | ~ spl3_44 ),
    inference(forward_demodulation,[],[f1097,f275]) ).

fof(f1097,plain,
    ( e0 = op(e1,e3)
    | ~ spl3_44 ),
    inference(backward_demodulation,[],[f85,f412]) ).

fof(f1154,plain,
    ( spl3_79
    | ~ spl3_44
    | ~ spl3_81 ),
    inference(avatar_split_clause,[],[f1098,f583,f410,f572]) ).

fof(f572,plain,
    ( spl3_79
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_79])]) ).

fof(f583,plain,
    ( spl3_81
  <=> op(e3,e0) = op(e0,op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_81])]) ).

fof(f1098,plain,
    ( e1 = op(e0,e1)
    | ~ spl3_44
    | ~ spl3_81 ),
    inference(backward_demodulation,[],[f585,f412]) ).

fof(f585,plain,
    ( op(e3,e0) = op(e0,op(e3,e0))
    | ~ spl3_81 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f1153,plain,
    ( ~ spl3_83
    | ~ spl3_54 ),
    inference(avatar_split_clause,[],[f1152,f456,f594]) ).

fof(f456,plain,
    ( spl3_54
  <=> e3 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_54])]) ).

fof(f1152,plain,
    ( e3 != op(e0,e3)
    | ~ spl3_54 ),
    inference(forward_demodulation,[],[f110,f458]) ).

fof(f458,plain,
    ( e3 = op(e0,e2)
    | ~ spl3_54 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f110,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1143,plain,
    ( ~ spl3_70
    | ~ spl3_71 ),
    inference(avatar_contradiction_clause,[],[f1142]) ).

fof(f1142,plain,
    ( $false
    | ~ spl3_70
    | ~ spl3_71 ),
    inference(subsumption_resolution,[],[f1141,f171]) ).

fof(f1141,plain,
    ( e0 = e2
    | ~ spl3_70
    | ~ spl3_71 ),
    inference(forward_demodulation,[],[f532,f536]) ).

fof(f532,plain,
    ( op(e0,e0) = e2
    | ~ spl3_70 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f1140,plain,
    ( ~ spl3_97
    | ~ spl3_71 ),
    inference(avatar_split_clause,[],[f1139,f534,f672]) ).

fof(f1139,plain,
    ( e0 != op(e0,e3)
    | ~ spl3_71 ),
    inference(forward_demodulation,[],[f146,f536]) ).

fof(f1120,plain,
    ( ~ spl3_69
    | ~ spl3_71 ),
    inference(avatar_contradiction_clause,[],[f1119]) ).

fof(f1119,plain,
    ( $false
    | ~ spl3_69
    | ~ spl3_71 ),
    inference(subsumption_resolution,[],[f1118,f170]) ).

fof(f1118,plain,
    ( e0 = e3
    | ~ spl3_69
    | ~ spl3_71 ),
    inference(forward_demodulation,[],[f528,f536]) ).

fof(f1115,plain,
    ( ~ spl3_30
    | ~ spl3_66 ),
    inference(avatar_contradiction_clause,[],[f1114]) ).

fof(f1114,plain,
    ( $false
    | ~ spl3_30
    | ~ spl3_66 ),
    inference(subsumption_resolution,[],[f1113,f172]) ).

fof(f1113,plain,
    ( e0 = e1
    | ~ spl3_30
    | ~ spl3_66 ),
    inference(forward_demodulation,[],[f882,f514]) ).

fof(f514,plain,
    ( e1 = op(e2,e1)
    | ~ spl3_66 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f512,plain,
    ( spl3_66
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_66])]) ).

fof(f882,plain,
    ( e0 = op(e2,e1)
    | ~ spl3_30 ),
    inference(backward_demodulation,[],[f80,f349]) ).

fof(f349,plain,
    ( e2 = op(e1,e0)
    | ~ spl3_30 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f1112,plain,
    ( ~ spl3_78
    | ~ spl3_52 ),
    inference(avatar_split_clause,[],[f1111,f447,f567]) ).

fof(f1111,plain,
    ( e2 != op(e1,e2)
    | ~ spl3_52 ),
    inference(forward_demodulation,[],[f108,f449]) ).

fof(f1105,plain,
    ( ~ spl3_14
    | ~ spl3_44 ),
    inference(avatar_contradiction_clause,[],[f1104]) ).

fof(f1104,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_44 ),
    inference(subsumption_resolution,[],[f1103,f172]) ).

fof(f1103,plain,
    ( e0 = e1
    | ~ spl3_14
    | ~ spl3_44 ),
    inference(forward_demodulation,[],[f1097,f279]) ).

fof(f279,plain,
    ( e1 = op(e1,e3)
    | ~ spl3_14 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f277,plain,
    ( spl3_14
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).

fof(f1088,plain,
    ( ~ spl3_39
    | ~ spl3_65 ),
    inference(avatar_contradiction_clause,[],[f1087]) ).

fof(f1087,plain,
    ( $false
    | ~ spl3_39
    | ~ spl3_65 ),
    inference(subsumption_resolution,[],[f1086,f170]) ).

fof(f1086,plain,
    ( e0 = e3
    | ~ spl3_39
    | ~ spl3_65 ),
    inference(forward_demodulation,[],[f390,f509]) ).

fof(f1085,plain,
    ( ~ spl3_24
    | spl3_38 ),
    inference(avatar_contradiction_clause,[],[f1084]) ).

fof(f1084,plain,
    ( $false
    | ~ spl3_24
    | spl3_38 ),
    inference(subsumption_resolution,[],[f937,f384]) ).

fof(f384,plain,
    ( e1 != op(e2,e3)
    | spl3_38 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f937,plain,
    ( e1 = op(e2,e3)
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f90,f323]) ).

fof(f1076,plain,
    ( ~ spl3_56
    | ~ spl3_19 ),
    inference(avatar_split_clause,[],[f1075,f299,f466]) ).

fof(f1075,plain,
    ( e3 != op(e3,e0)
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f127,f301]) ).

fof(f1067,plain,
    ( ~ spl3_60
    | ~ spl3_71 ),
    inference(avatar_contradiction_clause,[],[f1066]) ).

fof(f1066,plain,
    ( $false
    | ~ spl3_60
    | ~ spl3_71 ),
    inference(subsumption_resolution,[],[f1065,f171]) ).

fof(f1065,plain,
    ( e0 = e2
    | ~ spl3_60
    | ~ spl3_71 ),
    inference(forward_demodulation,[],[f1064,f536]) ).

fof(f1064,plain,
    ( op(e0,e0) = e2
    | ~ spl3_60 ),
    inference(forward_demodulation,[],[f86,f487]) ).

fof(f487,plain,
    ( e0 = op(e0,e2)
    | ~ spl3_60 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f1058,plain,
    ( ~ spl3_16
    | ~ spl3_19
    | ~ spl3_58 ),
    inference(avatar_contradiction_clause,[],[f1057]) ).

fof(f1057,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_19
    | ~ spl3_58 ),
    inference(subsumption_resolution,[],[f1056,f169]) ).

fof(f1056,plain,
    ( e2 = e3
    | ~ spl3_16
    | ~ spl3_19
    | ~ spl3_58 ),
    inference(forward_demodulation,[],[f1048,f477]) ).

fof(f1048,plain,
    ( e3 = op(e0,e3)
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f288,f301]) ).

fof(f1043,plain,
    ( ~ spl3_10
    | spl3_11
    | ~ spl3_65 ),
    inference(avatar_contradiction_clause,[],[f1042]) ).

fof(f1042,plain,
    ( $false
    | ~ spl3_10
    | spl3_11
    | ~ spl3_65 ),
    inference(subsumption_resolution,[],[f1037,f509]) ).

fof(f1037,plain,
    ( e0 != op(e1,e1)
    | ~ spl3_10
    | spl3_11 ),
    inference(backward_demodulation,[],[f266,f261]) ).

fof(f266,plain,
    ( e0 != op(op(e3,e2),op(e3,e2))
    | spl3_11 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl3_11
  <=> e0 = op(op(e3,e2),op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

fof(f1040,plain,
    ( ~ spl3_34
    | ~ spl3_10 ),
    inference(avatar_split_clause,[],[f1032,f260,f365]) ).

fof(f1032,plain,
    ( e1 != op(e1,e2)
    | ~ spl3_10 ),
    inference(backward_demodulation,[],[f102,f261]) ).

fof(f1031,plain,
    ( ~ spl3_62
    | ~ spl3_24
    | spl3_42 ),
    inference(avatar_split_clause,[],[f938,f401,f321,f493]) ).

fof(f401,plain,
    ( spl3_42
  <=> e0 = op(op(e3,e1),op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_42])]) ).

fof(f938,plain,
    ( e0 != op(e2,e2)
    | ~ spl3_24
    | spl3_42 ),
    inference(backward_demodulation,[],[f403,f323]) ).

fof(f403,plain,
    ( e0 != op(op(e3,e1),op(e3,e1))
    | spl3_42 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f1028,plain,
    ( ~ spl3_62
    | ~ spl3_60 ),
    inference(avatar_split_clause,[],[f1027,f485,f493]) ).

fof(f1027,plain,
    ( e0 != op(e2,e2)
    | ~ spl3_60 ),
    inference(forward_demodulation,[],[f139,f487]) ).

fof(f1023,plain,
    ( ~ spl3_14
    | ~ spl3_65 ),
    inference(avatar_contradiction_clause,[],[f1022]) ).

fof(f1022,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_65 ),
    inference(subsumption_resolution,[],[f1021,f170]) ).

fof(f1021,plain,
    ( e0 = e3
    | ~ spl3_14
    | ~ spl3_65 ),
    inference(forward_demodulation,[],[f1015,f509]) ).

fof(f1015,plain,
    ( e3 = op(e1,e1)
    | ~ spl3_14 ),
    inference(backward_demodulation,[],[f92,f279]) ).

fof(f979,plain,
    ( ~ spl3_8
    | ~ spl3_60 ),
    inference(avatar_split_clause,[],[f978,f485,f251]) ).

fof(f978,plain,
    ( e0 != op(e1,e2)
    | ~ spl3_60 ),
    inference(forward_demodulation,[],[f101,f487]) ).

fof(f101,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f974,plain,
    ( ~ spl3_17
    | ~ spl3_30
    | spl3_31 ),
    inference(avatar_split_clause,[],[f884,f352,f348,f291]) ).

fof(f352,plain,
    ( spl3_31
  <=> e3 = op(op(e1,e0),op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).

fof(f884,plain,
    ( e3 != op(e2,e2)
    | ~ spl3_30
    | spl3_31 ),
    inference(backward_demodulation,[],[f354,f349]) ).

fof(f354,plain,
    ( e3 != op(op(e1,e0),op(e1,e0))
    | spl3_31 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f972,plain,
    ( ~ spl3_30
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f971]) ).

fof(f971,plain,
    ( $false
    | ~ spl3_30
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f970,f173]) ).

fof(f970,plain,
    ( e1 = e2
    | ~ spl3_30
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f359,f349]) ).

fof(f969,plain,
    ( ~ spl3_78
    | ~ spl3_30 ),
    inference(avatar_split_clause,[],[f968,f348,f567]) ).

fof(f968,plain,
    ( e2 != op(e1,e2)
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f103,f349]) ).

fof(f965,plain,
    ( spl3_34
    | ~ spl3_66 ),
    inference(avatar_split_clause,[],[f961,f512,f365]) ).

fof(f961,plain,
    ( e1 = op(e1,e2)
    | ~ spl3_66 ),
    inference(backward_demodulation,[],[f87,f514]) ).

fof(f951,plain,
    ( ~ spl3_52
    | ~ spl3_58
    | spl3_102 ),
    inference(avatar_split_clause,[],[f902,f703,f475,f447]) ).

fof(f902,plain,
    ( e2 != op(e2,e2)
    | ~ spl3_58
    | spl3_102 ),
    inference(backward_demodulation,[],[f705,f477]) ).

fof(f705,plain,
    ( e2 != op(op(e0,e3),op(e0,e3))
    | spl3_102 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f945,plain,
    ( ~ spl3_10
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f944]) ).

fof(f944,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(subsumption_resolution,[],[f943,f173]) ).

fof(f943,plain,
    ( e1 = e2
    | ~ spl3_10
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f261,f319]) ).

fof(f933,plain,
    ( ~ spl3_30
    | ~ spl3_68 ),
    inference(avatar_contradiction_clause,[],[f932]) ).

fof(f932,plain,
    ( $false
    | ~ spl3_30
    | ~ spl3_68 ),
    inference(subsumption_resolution,[],[f931,f171]) ).

fof(f931,plain,
    ( e0 = e2
    | ~ spl3_30
    | ~ spl3_68 ),
    inference(forward_demodulation,[],[f929,f349]) ).

fof(f929,plain,
    ( e0 = op(e1,e0)
    | ~ spl3_68 ),
    inference(backward_demodulation,[],[f75,f524]) ).

fof(f908,plain,
    ( ~ spl3_49
    | ~ spl3_58 ),
    inference(avatar_contradiction_clause,[],[f907]) ).

fof(f907,plain,
    ( $false
    | ~ spl3_49
    | ~ spl3_58 ),
    inference(subsumption_resolution,[],[f906,f169]) ).

fof(f906,plain,
    ( e2 = e3
    | ~ spl3_49
    | ~ spl3_58 ),
    inference(forward_demodulation,[],[f899,f437]) ).

fof(f437,plain,
    ( e2 = op(e2,e0)
    | ~ spl3_49 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f899,plain,
    ( e3 = op(e2,e0)
    | ~ spl3_58 ),
    inference(backward_demodulation,[],[f76,f477]) ).

fof(f898,plain,
    ( ~ spl3_20
    | ~ spl3_35 ),
    inference(avatar_contradiction_clause,[],[f897]) ).

fof(f897,plain,
    ( $false
    | ~ spl3_20
    | ~ spl3_35 ),
    inference(subsumption_resolution,[],[f896,f170]) ).

fof(f896,plain,
    ( e0 = e3
    | ~ spl3_20
    | ~ spl3_35 ),
    inference(forward_demodulation,[],[f371,f305]) ).

fof(f892,plain,
    ( ~ spl3_71
    | ~ spl3_12
    | spl3_88 ),
    inference(avatar_split_clause,[],[f891,f618,f269,f534]) ).

fof(f618,plain,
    ( spl3_88
  <=> e0 = op(op(e1,e3),op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_88])]) ).

fof(f891,plain,
    ( e0 != op(e0,e0)
    | ~ spl3_12
    | spl3_88 ),
    inference(forward_demodulation,[],[f620,f271]) ).

fof(f620,plain,
    ( e0 != op(op(e1,e3),op(e1,e3))
    | spl3_88 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f888,plain,
    ( ~ spl3_20
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f887]) ).

fof(f887,plain,
    ( $false
    | ~ spl3_20
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f886,f170]) ).

fof(f886,plain,
    ( e0 = e3
    | ~ spl3_20
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f882,f305]) ).

fof(f885,plain,
    ( ~ spl3_70
    | ~ spl3_30 ),
    inference(avatar_split_clause,[],[f883,f348,f530]) ).

fof(f883,plain,
    ( op(e0,e0) != e2
    | ~ spl3_30 ),
    inference(backward_demodulation,[],[f136,f349]) ).

fof(f879,plain,
    ( ~ spl3_28
    | ~ spl3_12 ),
    inference(avatar_split_clause,[],[f870,f269,f339]) ).

fof(f870,plain,
    ( e0 != op(e3,e3)
    | ~ spl3_12 ),
    inference(backward_demodulation,[],[f99,f271]) ).

fof(f878,plain,
    ( ~ spl3_70
    | ~ spl3_12
    | spl3_103 ),
    inference(avatar_split_clause,[],[f873,f708,f269,f530]) ).

fof(f708,plain,
    ( spl3_103
  <=> e2 = op(op(e1,e3),op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_103])]) ).

fof(f873,plain,
    ( op(e0,e0) != e2
    | ~ spl3_12
    | spl3_103 ),
    inference(backward_demodulation,[],[f710,f271]) ).

fof(f710,plain,
    ( e2 != op(op(e1,e3),op(e1,e3))
    | spl3_103 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f877,plain,
    ( ~ spl3_12
    | ~ spl3_79 ),
    inference(avatar_contradiction_clause,[],[f876]) ).

fof(f876,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_79 ),
    inference(subsumption_resolution,[],[f875,f174]) ).

fof(f875,plain,
    ( e1 = e3
    | ~ spl3_12
    | ~ spl3_79 ),
    inference(forward_demodulation,[],[f869,f574]) ).

fof(f574,plain,
    ( e1 = op(e0,e1)
    | ~ spl3_79 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f869,plain,
    ( e3 = op(e0,e1)
    | ~ spl3_12 ),
    inference(backward_demodulation,[],[f92,f271]) ).

fof(f874,plain,
    ( ~ spl3_97
    | ~ spl3_12 ),
    inference(avatar_split_clause,[],[f871,f269,f672]) ).

fof(f871,plain,
    ( e0 != op(e0,e3)
    | ~ spl3_12 ),
    inference(backward_demodulation,[],[f131,f271]) ).

fof(f131,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f864,plain,
    ( ~ spl3_69
    | ~ spl3_8
    | spl3_9 ),
    inference(avatar_split_clause,[],[f863,f255,f251,f526]) ).

fof(f255,plain,
    ( spl3_9
  <=> e3 = op(op(e1,e2),op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

fof(f863,plain,
    ( op(e0,e0) != e3
    | ~ spl3_8
    | spl3_9 ),
    inference(forward_demodulation,[],[f257,f252]) ).

fof(f257,plain,
    ( e3 != op(op(e1,e2),op(e1,e2))
    | spl3_9 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f860,plain,
    ( ~ spl3_43
    | ~ spl3_79 ),
    inference(avatar_split_clause,[],[f856,f572,f406]) ).

fof(f856,plain,
    ( e1 != op(e3,e1)
    | ~ spl3_79 ),
    inference(backward_demodulation,[],[f134,f574]) ).

fof(f134,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f849,plain,
    ( ~ spl3_23
    | ~ spl3_38 ),
    inference(avatar_contradiction_clause,[],[f848]) ).

fof(f848,plain,
    ( $false
    | ~ spl3_23
    | ~ spl3_38 ),
    inference(subsumption_resolution,[],[f847,f173]) ).

fof(f847,plain,
    ( e1 = e2
    | ~ spl3_23
    | ~ spl3_38 ),
    inference(forward_demodulation,[],[f842,f385]) ).

fof(f842,plain,
    ( e2 = op(e2,e3)
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f89,f319]) ).

fof(f832,plain,
    ( ~ spl3_19
    | ~ spl3_49 ),
    inference(avatar_contradiction_clause,[],[f831]) ).

fof(f831,plain,
    ( $false
    | ~ spl3_19
    | ~ spl3_49 ),
    inference(subsumption_resolution,[],[f830,f169]) ).

fof(f830,plain,
    ( e2 = e3
    | ~ spl3_19
    | ~ spl3_49 ),
    inference(forward_demodulation,[],[f301,f437]) ).

fof(f811,plain,
    ( spl3_71
    | ~ spl3_57
    | ~ spl3_81 ),
    inference(avatar_split_clause,[],[f810,f583,f470,f534]) ).

fof(f470,plain,
    ( spl3_57
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_57])]) ).

fof(f810,plain,
    ( e0 = op(e0,e0)
    | ~ spl3_57
    | ~ spl3_81 ),
    inference(forward_demodulation,[],[f585,f472]) ).

fof(f472,plain,
    ( e0 = op(e3,e0)
    | ~ spl3_57 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f807,plain,
    ( ~ spl3_71
    | ~ spl3_57 ),
    inference(avatar_split_clause,[],[f800,f470,f534]) ).

fof(f800,plain,
    ( e0 != op(e0,e0)
    | ~ spl3_57 ),
    inference(backward_demodulation,[],[f129,f472]) ).

fof(f805,plain,
    ( ~ spl3_80
    | ~ spl3_57 ),
    inference(avatar_split_clause,[],[f799,f470,f577]) ).

fof(f799,plain,
    ( e0 != op(e1,e0)
    | ~ spl3_57 ),
    inference(backward_demodulation,[],[f125,f472]) ).

fof(f804,plain,
    ( spl3_97
    | ~ spl3_57 ),
    inference(avatar_split_clause,[],[f796,f470,f672]) ).

fof(f796,plain,
    ( e0 = op(e0,e3)
    | ~ spl3_57 ),
    inference(backward_demodulation,[],[f85,f472]) ).

fof(f803,plain,
    ( ~ spl3_28
    | ~ spl3_57 ),
    inference(avatar_split_clause,[],[f801,f470,f339]) ).

fof(f801,plain,
    ( e0 != op(e3,e3)
    | ~ spl3_57 ),
    inference(backward_demodulation,[],[f130,f472]) ).

fof(f793,plain,
    ( spl3_10
    | ~ spl3_20 ),
    inference(avatar_split_clause,[],[f788,f303,f260]) ).

fof(f788,plain,
    ( e1 = op(e3,e2)
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f87,f305]) ).

fof(f781,plain,
    ( ~ spl3_29
    | ~ spl3_38 ),
    inference(avatar_split_clause,[],[f776,f383,f343]) ).

fof(f776,plain,
    ( e1 != op(e3,e3)
    | ~ spl3_38 ),
    inference(backward_demodulation,[],[f126,f385]) ).

fof(f126,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f769,plain,
    ( spl3_23
    | ~ spl3_17 ),
    inference(avatar_split_clause,[],[f763,f291,f317]) ).

fof(f763,plain,
    ( e2 = op(e3,e2)
    | ~ spl3_17 ),
    inference(backward_demodulation,[],[f73,f293]) ).

fof(f293,plain,
    ( e3 = op(e2,e2)
    | ~ spl3_17 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f761,plain,
    ( ~ spl3_80
    | ~ spl3_8 ),
    inference(avatar_split_clause,[],[f752,f251,f577]) ).

fof(f752,plain,
    ( e0 != op(e1,e0)
    | ~ spl3_8 ),
    inference(backward_demodulation,[],[f103,f252]) ).

fof(f759,plain,
    ( spl3_82
    | ~ spl3_8 ),
    inference(avatar_split_clause,[],[f749,f251,f588]) ).

fof(f749,plain,
    ( e2 = op(e0,e1)
    | ~ spl3_8 ),
    inference(backward_demodulation,[],[f78,f252]) ).

fof(f748,plain,
    ( ~ spl3_70
    | ~ spl3_49 ),
    inference(avatar_split_clause,[],[f741,f435,f530]) ).

fof(f741,plain,
    ( op(e0,e0) != e2
    | ~ spl3_49 ),
    inference(backward_demodulation,[],[f135,f437]) ).

fof(f747,plain,
    ( ~ spl3_50
    | ~ spl3_49 ),
    inference(avatar_split_clause,[],[f740,f435,f439]) ).

fof(f740,plain,
    ( e2 != op(e2,e3)
    | ~ spl3_49 ),
    inference(backward_demodulation,[],[f132,f437]) ).

fof(f746,plain,
    ( spl3_62
    | ~ spl3_49 ),
    inference(avatar_split_clause,[],[f735,f435,f493]) ).

fof(f735,plain,
    ( e0 = op(e2,e2)
    | ~ spl3_49 ),
    inference(backward_demodulation,[],[f88,f437]) ).

fof(f744,plain,
    ( ~ spl3_30
    | ~ spl3_49 ),
    inference(avatar_split_clause,[],[f737,f435,f348]) ).

fof(f737,plain,
    ( e2 != op(e1,e0)
    | ~ spl3_49 ),
    inference(backward_demodulation,[],[f107,f437]) ).

fof(f742,plain,
    ( ~ spl3_51
    | ~ spl3_49 ),
    inference(avatar_split_clause,[],[f736,f435,f443]) ).

fof(f736,plain,
    ( e2 != op(e2,e1)
    | ~ spl3_49 ),
    inference(backward_demodulation,[],[f104,f437]) ).

fof(f734,plain,
    ( spl3_5
    | spl3_3
    | spl3_107
    | spl3_4 ),
    inference(avatar_split_clause,[],[f84,f233,f731,f229,f237]) ).

fof(f237,plain,
    ( spl3_5
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f229,plain,
    ( spl3_3
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f233,plain,
    ( spl3_4
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f84,plain,
    ( sP0
    | op(e0,e1) = op(e1,op(e0,e1))
    | sP2
    | sP1 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f729,plain,
    ( ~ spl3_5
    | spl3_106 ),
    inference(avatar_split_clause,[],[f66,f726,f237]) ).

fof(f66,plain,
    ( op(e3,e2) = op(e2,op(e3,e2))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ( ( op(e1,e2) = op(e2,op(e1,e2))
      & op(e2,e2) = op(e2,op(e2,e2))
      & op(e3,e2) = op(e2,op(e3,e2))
      & op(e0,e2) = op(e2,op(e0,e2)) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f55]) ).

fof(f724,plain,
    ( ~ spl3_82
    | ~ spl3_105 ),
    inference(avatar_split_clause,[],[f166,f721,f588]) ).

fof(f166,plain,
    ( e3 != op(op(e0,e1),op(e0,e1))
    | e2 != op(e0,e1) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ( e2 != op(e0,e1)
    | e3 != op(op(e0,e1),op(e0,e1)) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ~ ( e2 = op(e0,e1)
      & e3 = op(op(e0,e1),op(e0,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(f719,plain,
    ( spl3_21
    | spl3_97
    | spl3_28
    | spl3_12 ),
    inference(avatar_split_clause,[],[f207,f269,f339,f672,f308]) ).

fof(f207,plain,
    ( e0 = op(e1,e3)
    | e0 = op(e3,e3)
    | e0 = op(e0,e3)
    | e0 = op(e2,e3) ),
    inference(cnf_transformation,[],[f2]) ).

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

fof(f718,plain,
    ( spl3_82
    | spl3_70
    | spl3_58
    | spl3_99 ),
    inference(avatar_split_clause,[],[f182,f682,f475,f530,f588]) ).

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

fof(f717,plain,
    ( spl3_104
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f70,f233,f714]) ).

fof(f70,plain,
    ( ~ sP0
    | op(e1,e3) = op(e3,op(e1,e3)) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ( ( op(e3,e3) = op(e3,op(e3,e3))
      & op(e0,e3) = op(e3,op(e0,e3))
      & op(e1,e3) = op(e3,op(e1,e3))
      & op(e2,e3) = op(e3,op(e2,e3)) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f54]) ).

fof(f711,plain,
    ( ~ spl3_103
    | ~ spl3_12 ),
    inference(avatar_split_clause,[],[f148,f269,f708]) ).

fof(f148,plain,
    ( e0 != op(e1,e3)
    | e2 != op(op(e1,e3),op(e1,e3)) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( e2 != op(op(e1,e3),op(e1,e3))
    | e0 != op(e1,e3) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ~ ( e2 = op(op(e1,e3),op(e1,e3))
      & e0 = op(e1,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).

fof(f701,plain,
    ( spl3_97
    | spl3_58
    | spl3_37
    | spl3_83 ),
    inference(avatar_split_clause,[],[f157,f594,f379,f475,f672]) ).

fof(f157,plain,
    ( e3 = op(e0,e3)
    | e1 = op(e0,e3)
    | e2 = op(e0,e3)
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f690,plain,
    ( spl3_65
    | spl3_12
    | spl3_80
    | spl3_8 ),
    inference(avatar_split_clause,[],[f189,f251,f577,f269,f507]) ).

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

fof(f689,plain,
    ( spl3_21
    | spl3_35
    | spl3_62
    | spl3_75 ),
    inference(avatar_split_clause,[],[f209,f552,f493,f370,f308]) ).

fof(f209,plain,
    ( e0 = op(e2,e0)
    | e0 = op(e2,e2)
    | e0 = op(e2,e1)
    | e0 = op(e2,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f688,plain,
    ( spl3_75
    | spl3_80
    | spl3_71
    | spl3_57 ),
    inference(avatar_split_clause,[],[f198,f470,f534,f577,f552]) ).

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

fof(f687,plain,
    ( spl3_60
    | spl3_72
    | spl3_99
    | spl3_54 ),
    inference(avatar_split_clause,[],[f156,f456,f682,f539,f485]) ).

fof(f156,plain,
    ( e3 = op(e0,e2)
    | e2 = op(e0,e2)
    | e1 = op(e0,e2)
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f665,plain,
    ( spl3_40
    | spl3_69
    | spl3_19
    | spl3_56 ),
    inference(avatar_split_clause,[],[f179,f466,f299,f526,f392]) ).

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

fof(f664,plain,
    ( spl3_43
    | spl3_92
    | spl3_24
    | spl3_94 ),
    inference(avatar_split_clause,[],[f158,f654,f321,f641,f406]) ).

fof(f158,plain,
    ( e0 = op(e3,e1)
    | e2 = op(e3,e1)
    | e3 = op(e3,e1)
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f657,plain,
    ( spl3_94
    | spl3_28
    | spl3_61
    | spl3_57 ),
    inference(avatar_split_clause,[],[f197,f470,f489,f339,f654]) ).

fof(f197,plain,
    ( e0 = op(e3,e0)
    | e0 = op(e3,e2)
    | e0 = op(e3,e3)
    | e0 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f647,plain,
    ( spl3_32
    | spl3_44
    | spl3_74
    | spl3_68 ),
    inference(avatar_split_clause,[],[f185,f522,f548,f410,f357]) ).

fof(f185,plain,
    ( op(e0,e0) = e1
    | e1 = op(e2,e0)
    | e1 = op(e3,e0)
    | e1 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f646,plain,
    ( spl3_78
    | spl3_30
    | spl3_13
    | spl3_64 ),
    inference(avatar_split_clause,[],[f206,f503,f273,f348,f567]) ).

fof(f206,plain,
    ( e2 = op(e1,e1)
    | e2 = op(e1,e3)
    | e2 = op(e1,e0)
    | e2 = op(e1,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f644,plain,
    ( spl3_20
    | spl3_92
    | spl3_84
    | spl3_39 ),
    inference(avatar_split_clause,[],[f192,f388,f598,f641,f303]) ).

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

fof(f639,plain,
    ( ~ spl3_91
    | ~ spl3_44 ),
    inference(avatar_split_clause,[],[f147,f410,f636]) ).

fof(f147,plain,
    ( e1 != op(e3,e0)
    | e2 != op(op(e3,e0),op(e3,e0)) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ( e2 != op(op(e3,e0),op(e3,e0))
    | e1 != op(e3,e0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ~ ( e1 = op(e3,e0)
      & e2 = op(op(e3,e0),op(e3,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).

fof(f634,plain,
    ( spl3_17
    | spl3_85
    | spl3_62
    | spl3_52 ),
    inference(avatar_split_clause,[],[f161,f447,f493,f603,f291]) ).

fof(f161,plain,
    ( e2 = op(e2,e2)
    | e0 = op(e2,e2)
    | e1 = op(e2,e2)
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f633,plain,
    ( spl3_30
    | spl3_2
    | spl3_70
    | spl3_49 ),
    inference(avatar_split_clause,[],[f200,f435,f530,f224,f348]) ).

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

fof(f626,plain,
    ( ~ spl3_89
    | ~ spl3_74 ),
    inference(avatar_split_clause,[],[f177,f548,f623]) ).

fof(f177,plain,
    ( e1 != op(e2,e0)
    | e3 != op(op(e2,e0),op(e2,e0)) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ( e1 != op(e2,e0)
    | e3 != op(op(e2,e0),op(e2,e0)) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ~ ( e3 = op(op(e2,e0),op(e2,e0))
      & e1 = op(e2,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).

fof(f621,plain,
    ( ~ spl3_13
    | ~ spl3_88 ),
    inference(avatar_split_clause,[],[f98,f618,f273]) ).

fof(f98,plain,
    ( e0 != op(op(e1,e3),op(e1,e3))
    | e2 != op(e1,e3) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( e0 != op(op(e1,e3),op(e1,e3))
    | e2 != op(e1,e3) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ~ ( e2 = op(e1,e3)
      & e0 = op(op(e1,e3),op(e1,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

fof(f606,plain,
    ( spl3_85
    | spl3_38
    | spl3_74
    | spl3_66 ),
    inference(avatar_split_clause,[],[f183,f512,f548,f383,f603]) ).

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

fof(f592,plain,
    ( spl3_21
    | spl3_18
    | spl3_38
    | spl3_50 ),
    inference(avatar_split_clause,[],[f150,f439,f383,f295,f308]) ).

fof(f150,plain,
    ( e2 = op(e2,e3)
    | e1 = op(e2,e3)
    | e3 = op(e2,e3)
    | e0 = op(e2,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f591,plain,
    ( spl3_51
    | spl3_82
    | spl3_64
    | spl3_24 ),
    inference(avatar_split_clause,[],[f194,f321,f503,f588,f443]) ).

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

fof(f586,plain,
    ( spl3_81
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f61,f229,f583]) ).

fof(f61,plain,
    ( ~ sP2
    | op(e3,e0) = op(e0,op(e3,e0)) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ( ( op(e0,e0) = op(e0,op(e0,e0))
      & op(e1,e0) = op(e0,op(e1,e0))
      & op(e2,e0) = op(e0,op(e2,e0))
      & op(e3,e0) = op(e0,op(e3,e0)) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f56]) ).

fof(f580,plain,
    ( spl3_30
    | spl3_40
    | spl3_32
    | spl3_80 ),
    inference(avatar_split_clause,[],[f149,f577,f357,f392,f348]) ).

fof(f149,plain,
    ( e0 = op(e1,e0)
    | e1 = op(e1,e0)
    | e3 = op(e1,e0)
    | e2 = op(e1,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f575,plain,
    ( spl3_79
    | spl3_72
    | spl3_37
    | spl3_68 ),
    inference(avatar_split_clause,[],[f199,f522,f379,f539,f572]) ).

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

fof(f570,plain,
    ( spl3_41
    | spl3_78
    | spl3_8
    | spl3_34 ),
    inference(avatar_split_clause,[],[f159,f365,f251,f567,f396]) ).

fof(f159,plain,
    ( e1 = op(e1,e2)
    | e0 = op(e1,e2)
    | e2 = op(e1,e2)
    | e3 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f555,plain,
    ( spl3_74
    | spl3_19
    | spl3_75
    | spl3_49 ),
    inference(avatar_split_clause,[],[f153,f435,f552,f299,f548]) ).

fof(f153,plain,
    ( e2 = op(e2,e0)
    | e0 = op(e2,e0)
    | e3 = op(e2,e0)
    | e1 = op(e2,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f537,plain,
    ( spl3_68
    | spl3_69
    | spl3_70
    | spl3_71 ),
    inference(avatar_split_clause,[],[f162,f534,f530,f526,f522]) ).

fof(f162,plain,
    ( e0 = op(e0,e0)
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f520,plain,
    ( ~ spl3_40
    | ~ spl3_67 ),
    inference(avatar_split_clause,[],[f216,f517,f392]) ).

fof(f216,plain,
    ( e2 != op(op(e1,e0),op(e1,e0))
    | e3 != op(e1,e0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ( e3 != op(e1,e0)
    | e2 != op(op(e1,e0),op(e1,e0)) ),
    inference(ennf_transformation,[],[f18]) ).

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

fof(f515,plain,
    ( spl3_20
    | spl3_51
    | spl3_66
    | spl3_35 ),
    inference(avatar_split_clause,[],[f154,f370,f512,f443,f303]) ).

fof(f154,plain,
    ( e0 = op(e2,e1)
    | e1 = op(e2,e1)
    | e2 = op(e2,e1)
    | e3 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f501,plain,
    ( spl3_4
    | spl3_63
    | spl3_5
    | spl3_3 ),
    inference(avatar_split_clause,[],[f83,f229,f237,f498,f233]) ).

fof(f83,plain,
    ( sP2
    | sP1
    | op(e3,e1) = op(e1,op(e3,e1))
    | sP0 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f496,plain,
    ( spl3_8
    | spl3_60
    | spl3_61
    | spl3_62 ),
    inference(avatar_split_clause,[],[f208,f493,f489,f485,f251]) ).

fof(f208,plain,
    ( e0 = op(e2,e2)
    | e0 = op(e3,e2)
    | e0 = op(e0,e2)
    | e0 = op(e1,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f483,plain,
    ( spl3_59
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f71,f233,f480]) ).

fof(f71,plain,
    ( ~ sP0
    | op(e0,e3) = op(e3,op(e0,e3)) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f478,plain,
    ( spl3_25
    | spl3_50
    | spl3_58
    | spl3_13 ),
    inference(avatar_split_clause,[],[f188,f273,f475,f439,f325]) ).

fof(f188,plain,
    ( e2 = op(e1,e3)
    | e2 = op(e0,e3)
    | e2 = op(e2,e3)
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f473,plain,
    ( spl3_56
    | spl3_2
    | spl3_57
    | spl3_44 ),
    inference(avatar_split_clause,[],[f163,f410,f470,f224,f466]) ).

fof(f163,plain,
    ( e1 = op(e3,e0)
    | e0 = op(e3,e0)
    | e2 = op(e3,e0)
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f433,plain,
    ( ~ spl3_5
    | spl3_48 ),
    inference(avatar_split_clause,[],[f67,f430,f237]) ).

fof(f67,plain,
    ( op(e2,e2) = op(e2,op(e2,e2))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f428,plain,
    ( spl3_3
    | spl3_5
    | spl3_47
    | spl3_4 ),
    inference(avatar_split_clause,[],[f82,f233,f425,f237,f229]) ).

fof(f82,plain,
    ( sP0
    | op(e1,e1) = op(e1,op(e1,e1))
    | sP1
    | sP2 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f418,plain,
    ( ~ spl3_4
    | spl3_45 ),
    inference(avatar_split_clause,[],[f69,f415,f233]) ).

fof(f69,plain,
    ( op(e2,e3) = op(e3,op(e2,e3))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f404,plain,
    ( ~ spl3_42
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f168,f321,f401]) ).

fof(f168,plain,
    ( e2 != op(e3,e1)
    | e0 != op(op(e3,e1),op(e3,e1)) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( e0 != op(op(e3,e1),op(e3,e1))
    | e2 != op(e3,e1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ~ ( e2 = op(e3,e1)
      & e0 = op(op(e3,e1),op(e3,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

fof(f399,plain,
    ( spl3_39
    | spl3_40
    | spl3_15
    | spl3_41 ),
    inference(avatar_split_clause,[],[f190,f396,f281,f392,f388]) ).

fof(f190,plain,
    ( e3 = op(e1,e2)
    | e3 = op(e1,e3)
    | e3 = op(e1,e0)
    | e3 = op(e1,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f386,plain,
    ( spl3_37
    | spl3_38
    | spl3_29
    | spl3_14 ),
    inference(avatar_split_clause,[],[f196,f277,f343,f383,f379]) ).

fof(f196,plain,
    ( e1 = op(e1,e3)
    | e1 = op(e3,e3)
    | e1 = op(e2,e3)
    | e1 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f355,plain,
    ( ~ spl3_30
    | ~ spl3_31 ),
    inference(avatar_split_clause,[],[f218,f352,f348]) ).

fof(f218,plain,
    ( e3 != op(op(e1,e0),op(e1,e0))
    | e2 != op(e1,e0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ( e2 != op(e1,e0)
    | e3 != op(op(e1,e0),op(e1,e0)) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ~ ( e2 = op(e1,e0)
      & e3 = op(op(e1,e0),op(e1,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).

fof(f346,plain,
    ( spl3_25
    | spl3_27
    | spl3_28
    | spl3_29 ),
    inference(avatar_split_clause,[],[f160,f343,f339,f335,f325]) ).

fof(f160,plain,
    ( e1 = op(e3,e3)
    | e0 = op(e3,e3)
    | e3 = op(e3,e3)
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f333,plain,
    ( spl3_26
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f63,f229,f330]) ).

fof(f63,plain,
    ( ~ sP2
    | op(e1,e0) = op(e0,op(e1,e0)) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f328,plain,
    ( spl3_23
    | spl3_24
    | spl3_2
    | spl3_25 ),
    inference(avatar_split_clause,[],[f187,f325,f224,f321,f317]) ).

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

fof(f315,plain,
    ( ~ spl3_21
    | ~ spl3_22 ),
    inference(avatar_split_clause,[],[f96,f312,f308]) ).

fof(f96,plain,
    ( e1 != op(op(e2,e3),op(e2,e3))
    | e0 != op(e2,e3) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( e0 != op(e2,e3)
    | e1 != op(op(e2,e3),op(e2,e3)) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ~ ( e0 = op(e2,e3)
      & e1 = op(op(e2,e3),op(e2,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f306,plain,
    ( spl3_17
    | spl3_18
    | spl3_19
    | spl3_20 ),
    inference(avatar_split_clause,[],[f180,f303,f299,f295,f291]) ).

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

fof(f289,plain,
    ( ~ spl3_3
    | spl3_16 ),
    inference(avatar_split_clause,[],[f62,f286,f229]) ).

fof(f62,plain,
    ( op(e2,e0) = op(e0,op(e2,e0))
    | ~ sP2 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f284,plain,
    ( spl3_12
    | spl3_13
    | spl3_14
    | spl3_15 ),
    inference(avatar_split_clause,[],[f151,f281,f277,f273,f269]) ).

fof(f151,plain,
    ( e3 = op(e1,e3)
    | e1 = op(e1,e3)
    | e2 = op(e1,e3)
    | e0 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f267,plain,
    ( ~ spl3_10
    | ~ spl3_11 ),
    inference(avatar_split_clause,[],[f175,f264,f260]) ).

fof(f175,plain,
    ( e0 != op(op(e3,e2),op(e3,e2))
    | e1 != op(e3,e2) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( e0 != op(op(e3,e2),op(e3,e2))
    | e1 != op(e3,e2) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ~ ( e1 = op(e3,e2)
      & e0 = op(op(e3,e2),op(e3,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).

fof(f258,plain,
    ( ~ spl3_8
    | ~ spl3_9 ),
    inference(avatar_split_clause,[],[f176,f255,f251]) ).

fof(f176,plain,
    ( e3 != op(op(e1,e2),op(e1,e2))
    | e0 != op(e1,e2) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( e3 != op(op(e1,e2),op(e1,e2))
    | e0 != op(e1,e2) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ~ ( e3 = op(op(e1,e2),op(e1,e2))
      & e0 = op(e1,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).

fof(f227,plain,
    ( ~ spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f167,f224,f220]) ).

fof(f167,plain,
    ( e2 != op(e3,e0)
    | e1 != op(op(e3,e0),op(e3,e0)) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( e2 != op(e3,e0)
    | e1 != op(op(e3,e0),op(e3,e0)) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ~ ( e1 = op(op(e3,e0),op(e3,e0))
      & e2 = op(e3,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ALG130+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 14:55:06 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.53  % (12208)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)
% 0.19/0.53  % (12200)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)
% 0.19/0.54  % (12197)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54  % (12185)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)
% 0.19/0.55  % (12189)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56  % (12192)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.56  % (12196)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)
% 0.19/0.56  % (12194)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)
% 0.19/0.56  % (12207)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)
% 0.19/0.57  % (12191)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)
% 0.19/0.57  % (12190)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)
% 0.19/0.57  % (12193)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.57  % (12195)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.57  % (12193)Instruction limit reached!
% 0.19/0.57  % (12193)------------------------------
% 0.19/0.57  % (12193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (12193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (12193)Termination reason: Unknown
% 0.19/0.57  % (12193)Termination phase: Preprocessing 2
% 0.19/0.57  
% 0.19/0.57  % (12193)Memory used [KB]: 895
% 0.19/0.57  % (12193)Time elapsed: 0.005 s
% 0.19/0.57  % (12193)Instructions burned: 2 (million)
% 0.19/0.57  % (12193)------------------------------
% 0.19/0.57  % (12193)------------------------------
% 0.19/0.57  % (12192)Instruction limit reached!
% 0.19/0.57  % (12192)------------------------------
% 0.19/0.57  % (12192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (12192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (12192)Termination reason: Unknown
% 0.19/0.57  % (12192)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (12192)Memory used [KB]: 5628
% 0.19/0.57  % (12192)Time elapsed: 0.010 s
% 0.19/0.57  % (12192)Instructions burned: 7 (million)
% 0.19/0.57  % (12192)------------------------------
% 0.19/0.57  % (12192)------------------------------
% 0.19/0.58  % (12188)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)
% 0.19/0.58  % (12186)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)
% 0.19/0.58  TRYING [4]
% 0.19/0.58  % (12214)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)
% 0.19/0.59  % (12205)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)
% 0.19/0.59  % (12212)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)
% 0.19/0.59  % (12187)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)
% 0.19/0.59  % (12213)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.68/0.60  % (12210)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.68/0.60  % (12211)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.68/0.60  % (12204)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.68/0.60  % (12201)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.68/0.60  % (12203)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.68/0.61  % (12202)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.02/0.62  % (12206)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.02/0.62  % (12208)First to succeed.
% 2.02/0.63  % (12199)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)
% 2.02/0.63  % (12209)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.02/0.63  % (12198)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.02/0.64  TRYING [4]
% 2.02/0.65  % (12208)Refutation found. Thanks to Tanya!
% 2.02/0.65  % SZS status Unsatisfiable for theBenchmark
% 2.02/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 2.02/0.65  % (12208)------------------------------
% 2.02/0.65  % (12208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.65  % (12208)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.65  % (12208)Termination reason: Refutation
% 2.02/0.65  
% 2.02/0.65  % (12208)Memory used [KB]: 6524
% 2.02/0.65  % (12208)Time elapsed: 0.061 s
% 2.02/0.65  % (12208)Instructions burned: 47 (million)
% 2.02/0.65  % (12208)------------------------------
% 2.02/0.65  % (12208)------------------------------
% 2.02/0.65  % (12184)Success in time 0.297 s
%------------------------------------------------------------------------------