%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG141+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 : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 15:43:02 EDT 2022

% Result   : Unsatisfiable 2.25s 0.67s
% Output   : Refutation 2.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  114
% Syntax   : Number of formulae    :  960 (  22 unt;   0 def)
%            Number of atoms       : 2905 ( 990 equ)
%            Maximal formula atoms :  128 (   3 avg)
%            Number of connectives : 3436 (1491   ~;1699   |; 149   &)
%                                         (  97 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  102 ( 100 usr; 101 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2765,plain,
    $false,
    inference(avatar_sat_refutation,[],[f219,f224,f241,f258,f275,f292,f305,f365,f382,f417,f439,f444,f466,f471,f472,f477,f482,f491,f496,f505,f510,f515,f520,f525,f531,f545,f550,f555,f568,f575,f590,f591,f592,f602,f607,f612,f617,f618,f629,f634,f646,f651,f652,f653,f663,f664,f669,f670,f675,f676,f679,f680,f685,f686,f692,f697,f702,f703,f704,f709,f710,f715,f717,f718,f725,f732,f735,f738,f744,f747,f751,f754,f758,f766,f775,f786,f803,f810,f818,f825,f835,f838,f841,f847,f852,f865,f873,f876,f879,f883,f891,f894,f897,f902,f906,f916,f924,f938,f951,f962,f974,f982,f984,f988,f992,f998,f1006,f1010,f1014,f1018,f1030,f1034,f1043,f1045,f1048,f1059,f1067,f1070,f1088,f1091,f1096,f1103,f1108,f1114,f1117,f1124,f1129,f1137,f1141,f1145,f1149,f1157,f1168,f1173,f1181,f1189,f1191,f1197,f1202,f1206,f1211,f1216,f1229,f1242,f1245,f1250,f1254,f1276,f1285,f1288,f1292,f1301,f1304,f1307,f1313,f1319,f1322,f1326,f1328,f1338,f1343,f1377,f1385,f1388,f1411,f1414,f1419,f1425,f1441,f1456,f1480,f1484,f1490,f1497,f1505,f1512,f1521,f1526,f1535,f1548,f1566,f1569,f1571,f1696,f1699,f1702,f1703,f1710,f1712,f1731,f1735,f1762,f1766,f1772,f1780,f1784,f1791,f1801,f1808,f1830,f1838,f1842,f1848,f1850,f1879,f1889,f1895,f1900,f1903,f1905,f1909,f1917,f1930,f1951,f1980,f2006,f2012,f2014,f2023,f2028,f2032,f2035,f2130,f2132,f2134,f2135,f2230,f2236,f2242,f2256,f2258,f2261,f2266,f2274,f2285,f2295,f2299,f2305,f2319,f2338,f2461,f2464,f2465,f2466,f2468,f2524,f2528,f2532,f2535,f2538,f2541,f2543,f2573,f2714,f2722,f2727,f2737,f2749,f2764]) ).

fof(f2764,plain,
    ( ~ spl3_12
    | ~ spl3_22
    | spl3_58
    | ~ spl3_80 ),
    inference(avatar_contradiction_clause,[],[f2763]) ).

fof(f2763,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_22
    | spl3_58
    | ~ spl3_80 ),
    inference(subsumption_resolution,[],[f2762,f253]) ).

fof(f253,plain,
    ( e0 = op(e1,e2)
    | ~ spl3_12 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl3_12
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

fof(f2762,plain,
    ( e0 != op(e1,e2)
    | ~ spl3_22
    | spl3_58
    | ~ spl3_80 ),
    inference(forward_demodulation,[],[f2761,f559]) ).

fof(f559,plain,
    ( e1 = op(e2,e3)
    | ~ spl3_80 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f557,plain,
    ( spl3_80
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_80])]) ).

fof(f2761,plain,
    ( e0 != op(op(e2,e3),e2)
    | ~ spl3_22
    | spl3_58 ),
    inference(forward_demodulation,[],[f452,f295]) ).

fof(f295,plain,
    ( e3 = op(e2,e2)
    | ~ spl3_22 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f294,plain,
    ( spl3_22
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).

fof(f452,plain,
    ( e0 != op(op(e2,op(e2,e2)),e2)
    | spl3_58 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f450,plain,
    ( spl3_58
  <=> e0 = op(op(e2,op(e2,e2)),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_58])]) ).

fof(f2749,plain,
    ( spl3_83
    | ~ spl3_12
    | ~ spl3_104 ),
    inference(avatar_split_clause,[],[f2742,f694,f251,f572]) ).

fof(f572,plain,
    ( spl3_83
  <=> op(e0,e0) = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_83])]) ).

fof(f694,plain,
    ( spl3_104
  <=> e2 = op(op(e1,e2),op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_104])]) ).

fof(f2742,plain,
    ( op(e0,e0) = e2
    | ~ spl3_12
    | ~ spl3_104 ),
    inference(forward_demodulation,[],[f696,f253]) ).

fof(f696,plain,
    ( e2 = op(op(e1,e2),op(e1,e2))
    | ~ spl3_104 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f2737,plain,
    ( ~ spl3_22
    | spl3_74
    | ~ spl3_80 ),
    inference(avatar_contradiction_clause,[],[f2736]) ).

fof(f2736,plain,
    ( $false
    | ~ spl3_22
    | spl3_74
    | ~ spl3_80 ),
    inference(subsumption_resolution,[],[f2735,f559]) ).

fof(f2735,plain,
    ( e1 != op(e2,e3)
    | ~ spl3_22
    | spl3_74 ),
    inference(forward_demodulation,[],[f530,f295]) ).

fof(f530,plain,
    ( e1 != op(e2,op(e2,e2))
    | spl3_74 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f528,plain,
    ( spl3_74
  <=> e1 = op(e2,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_74])]) ).

fof(f2727,plain,
    ( spl3_44
    | ~ spl3_91
    | ~ spl3_105 ),
    inference(avatar_contradiction_clause,[],[f2726]) ).

fof(f2726,plain,
    ( $false
    | spl3_44
    | ~ spl3_91
    | ~ spl3_105 ),
    inference(subsumption_resolution,[],[f2725,f389]) ).

fof(f389,plain,
    ( e3 != op(e3,e3)
    | spl3_44 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f388,plain,
    ( spl3_44
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_44])]) ).

fof(f2725,plain,
    ( e3 = op(e3,e3)
    | ~ spl3_91
    | ~ spl3_105 ),
    inference(superposition,[],[f616,f701]) ).

fof(f701,plain,
    ( e3 = op(e2,e3)
    | ~ spl3_105 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f699,plain,
    ( spl3_105
  <=> e3 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_105])]) ).

fof(f616,plain,
    ( e3 = op(op(e2,e3),op(e2,e3))
    | ~ spl3_91 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f614,plain,
    ( spl3_91
  <=> e3 = op(op(e2,e3),op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_91])]) ).

fof(f2722,plain,
    ( ~ spl3_10
    | spl3_83
    | ~ spl3_88 ),
    inference(avatar_contradiction_clause,[],[f2721]) ).

fof(f2721,plain,
    ( $false
    | ~ spl3_10
    | spl3_83
    | ~ spl3_88 ),
    inference(subsumption_resolution,[],[f2720,f573]) ).

fof(f573,plain,
    ( op(e0,e0) != e2
    | spl3_83 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f2720,plain,
    ( op(e0,e0) = e2
    | ~ spl3_10
    | ~ spl3_88 ),
    inference(superposition,[],[f601,f245]) ).

fof(f245,plain,
    ( e0 = op(e0,e2)
    | ~ spl3_10 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f243,plain,
    ( spl3_10
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).

fof(f601,plain,
    ( e2 = op(op(e0,e2),op(e0,e2))
    | ~ spl3_88 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f599,plain,
    ( spl3_88
  <=> e2 = op(op(e0,e2),op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_88])]) ).

fof(f2714,plain,
    ( spl3_25
    | ~ spl3_46
    | ~ spl3_73 ),
    inference(avatar_contradiction_clause,[],[f2713]) ).

fof(f2713,plain,
    ( $false
    | spl3_25
    | ~ spl3_46
    | ~ spl3_73 ),
    inference(subsumption_resolution,[],[f2712,f309]) ).

fof(f309,plain,
    ( op(e0,e0) != e3
    | spl3_25 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f307,plain,
    ( spl3_25
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).

fof(f2712,plain,
    ( op(e0,e0) = e3
    | ~ spl3_46
    | ~ spl3_73 ),
    inference(superposition,[],[f524,f398]) ).

fof(f398,plain,
    ( e0 = op(e3,e3)
    | ~ spl3_46 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f396,plain,
    ( spl3_46
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_46])]) ).

fof(f524,plain,
    ( e3 = op(op(e3,e3),op(e3,e3))
    | ~ spl3_73 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f522,plain,
    ( spl3_73
  <=> e3 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_73])]) ).

fof(f2573,plain,
    ( ~ spl3_63
    | ~ spl3_80
    | ~ spl3_91 ),
    inference(avatar_contradiction_clause,[],[f2572]) ).

fof(f2572,plain,
    ( $false
    | ~ spl3_63
    | ~ spl3_80
    | ~ spl3_91 ),
    inference(subsumption_resolution,[],[f2571,f83]) ).

fof(f83,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f4]) ).

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

fof(f2571,plain,
    ( e1 = e3
    | ~ spl3_63
    | ~ spl3_80
    | ~ spl3_91 ),
    inference(forward_demodulation,[],[f2570,f476]) ).

fof(f476,plain,
    ( e1 = op(e1,e1)
    | ~ spl3_63 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f474,plain,
    ( spl3_63
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_63])]) ).

fof(f2570,plain,
    ( e3 = op(e1,e1)
    | ~ spl3_80
    | ~ spl3_91 ),
    inference(forward_demodulation,[],[f616,f559]) ).

fof(f2543,plain,
    ( ~ spl3_82
    | ~ spl3_94 ),
    inference(avatar_contradiction_clause,[],[f2542]) ).

fof(f2542,plain,
    ( $false
    | ~ spl3_82
    | ~ spl3_94 ),
    inference(subsumption_resolution,[],[f2497,f633]) ).

fof(f633,plain,
    ( e1 = op(e1,e0)
    | ~ spl3_94 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f631,plain,
    ( spl3_94
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_94])]) ).

fof(f2497,plain,
    ( e1 != op(e1,e0)
    | ~ spl3_82 ),
    inference(superposition,[],[f107,f567]) ).

fof(f567,plain,
    ( e1 = op(e1,e3)
    | ~ spl3_82 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f565,plain,
    ( spl3_82
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_82])]) ).

fof(f107,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f2541,plain,
    ( ~ spl3_25
    | ~ spl3_52 ),
    inference(avatar_contradiction_clause,[],[f2540]) ).

fof(f2540,plain,
    ( $false
    | ~ spl3_25
    | ~ spl3_52 ),
    inference(subsumption_resolution,[],[f2409,f308]) ).

fof(f308,plain,
    ( op(e0,e0) = e3
    | ~ spl3_25 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f2409,plain,
    ( op(e0,e0) != e3
    | ~ spl3_52 ),
    inference(superposition,[],[f139,f425]) ).

fof(f425,plain,
    ( e3 = op(e0,e2)
    | ~ spl3_52 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f423,plain,
    ( spl3_52
  <=> e3 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_52])]) ).

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

fof(f2538,plain,
    ( ~ spl3_25
    | ~ spl3_34 ),
    inference(avatar_contradiction_clause,[],[f2537]) ).

fof(f2537,plain,
    ( $false
    | ~ spl3_25
    | ~ spl3_34 ),
    inference(subsumption_resolution,[],[f2373,f308]) ).

fof(f2373,plain,
    ( op(e0,e0) != e3
    | ~ spl3_34 ),
    inference(superposition,[],[f135,f347]) ).

fof(f347,plain,
    ( e3 = op(e2,e0)
    | ~ spl3_34 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f345,plain,
    ( spl3_34
  <=> e3 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).

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

fof(f2535,plain,
    ( ~ spl3_81
    | ~ spl3_85 ),
    inference(avatar_contradiction_clause,[],[f2534]) ).

fof(f2534,plain,
    ( $false
    | ~ spl3_81
    | ~ spl3_85 ),
    inference(subsumption_resolution,[],[f2533,f86]) ).

fof(f86,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f4]) ).

fof(f2533,plain,
    ( e0 = e1
    | ~ spl3_81
    | ~ spl3_85 ),
    inference(forward_demodulation,[],[f563,f585]) ).

fof(f585,plain,
    ( e0 = op(e0,e3)
    | ~ spl3_85 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f583,plain,
    ( spl3_85
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_85])]) ).

fof(f563,plain,
    ( e1 = op(e0,e3)
    | ~ spl3_81 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f561,plain,
    ( spl3_81
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_81])]) ).

fof(f2532,plain,
    ( ~ spl3_17
    | ~ spl3_94 ),
    inference(avatar_contradiction_clause,[],[f2531]) ).

fof(f2531,plain,
    ( $false
    | ~ spl3_17
    | ~ spl3_94 ),
    inference(subsumption_resolution,[],[f2530,f84]) ).

fof(f84,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f2530,plain,
    ( e1 = e2
    | ~ spl3_17
    | ~ spl3_94 ),
    inference(forward_demodulation,[],[f274,f633]) ).

fof(f274,plain,
    ( e2 = op(e1,e0)
    | ~ spl3_17 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f272,plain,
    ( spl3_17
  <=> e2 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).

fof(f2528,plain,
    ( ~ spl3_21
    | ~ spl3_52
    | spl3_71
    | ~ spl3_83 ),
    inference(avatar_contradiction_clause,[],[f2527]) ).

fof(f2527,plain,
    ( $false
    | ~ spl3_21
    | ~ spl3_52
    | spl3_71
    | ~ spl3_83 ),
    inference(subsumption_resolution,[],[f2526,f291]) ).

fof(f291,plain,
    ( e1 = op(e3,e0)
    | ~ spl3_21 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f289,plain,
    ( spl3_21
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).

fof(f2526,plain,
    ( e1 != op(e3,e0)
    | ~ spl3_52
    | spl3_71
    | ~ spl3_83 ),
    inference(forward_demodulation,[],[f2525,f425]) ).

fof(f2525,plain,
    ( e1 != op(op(e0,e2),e0)
    | spl3_71
    | ~ spl3_83 ),
    inference(forward_demodulation,[],[f514,f574]) ).

fof(f574,plain,
    ( op(e0,e0) = e2
    | ~ spl3_83 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f514,plain,
    ( e1 != op(op(e0,op(e0,e0)),e0)
    | spl3_71 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f512,plain,
    ( spl3_71
  <=> e1 = op(op(e0,op(e0,e0)),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_71])]) ).

fof(f2524,plain,
    ( ~ spl3_52
    | ~ spl3_83
    | spl3_97 ),
    inference(avatar_contradiction_clause,[],[f2523]) ).

fof(f2523,plain,
    ( $false
    | ~ spl3_52
    | ~ spl3_83
    | spl3_97 ),
    inference(subsumption_resolution,[],[f2522,f425]) ).

fof(f2522,plain,
    ( e3 != op(e0,e2)
    | ~ spl3_83
    | spl3_97 ),
    inference(superposition,[],[f650,f574]) ).

fof(f650,plain,
    ( e3 != op(e0,op(e0,e0))
    | spl3_97 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f648,plain,
    ( spl3_97
  <=> e3 = op(e0,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_97])]) ).

fof(f2468,plain,
    ( ~ spl3_37
    | ~ spl3_42
    | spl3_65 ),
    inference(avatar_split_clause,[],[f2467,f484,f379,f358]) ).

fof(f358,plain,
    ( spl3_37
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_37])]) ).

fof(f379,plain,
    ( spl3_42
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_42])]) ).

fof(f484,plain,
    ( spl3_65
  <=> e0 = op(e1,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_65])]) ).

fof(f2467,plain,
    ( e0 != op(e1,e3)
    | ~ spl3_42
    | spl3_65 ),
    inference(forward_demodulation,[],[f486,f381]) ).

fof(f381,plain,
    ( e3 = op(e1,e1)
    | ~ spl3_42 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f486,plain,
    ( e0 != op(e1,op(e1,e1))
    | spl3_65 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f2466,plain,
    ( ~ spl3_17
    | ~ spl3_16 ),
    inference(avatar_split_clause,[],[f2347,f268,f272]) ).

fof(f268,plain,
    ( spl3_16
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).

fof(f2347,plain,
    ( e2 != op(e1,e0)
    | ~ spl3_16 ),
    inference(superposition,[],[f118,f270]) ).

fof(f270,plain,
    ( e2 = op(e1,e2)
    | ~ spl3_16 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f118,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2465,plain,
    ( ~ spl3_8
    | ~ spl3_42 ),
    inference(avatar_split_clause,[],[f2384,f379,f234]) ).

fof(f234,plain,
    ( spl3_8
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

fof(f2384,plain,
    ( e3 != op(e0,e1)
    | ~ spl3_42 ),
    inference(superposition,[],[f134,f381]) ).

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

fof(f2464,plain,
    ( spl3_83
    | ~ spl3_5
    | ~ spl3_11 ),
    inference(avatar_split_clause,[],[f2463,f247,f221,f572]) ).

fof(f221,plain,
    ( spl3_5
  <=> e2 = op(op(e3,e2),op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f247,plain,
    ( spl3_11
  <=> e0 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

fof(f2463,plain,
    ( op(e0,e0) = e2
    | ~ spl3_5
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f223,f249]) ).

fof(f249,plain,
    ( e0 = op(e3,e2)
    | ~ spl3_11 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f223,plain,
    ( e2 = op(op(e3,e2),op(e3,e2))
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f2461,plain,
    ( ~ spl3_9
    | ~ spl3_37
    | ~ spl3_42
    | spl3_66 ),
    inference(avatar_contradiction_clause,[],[f2460]) ).

fof(f2460,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_37
    | ~ spl3_42
    | spl3_66 ),
    inference(subsumption_resolution,[],[f2459,f240]) ).

fof(f240,plain,
    ( e2 = op(e0,e1)
    | ~ spl3_9 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl3_9
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

fof(f2459,plain,
    ( e2 != op(e0,e1)
    | ~ spl3_37
    | ~ spl3_42
    | spl3_66 ),
    inference(forward_demodulation,[],[f2458,f360]) ).

fof(f360,plain,
    ( e0 = op(e1,e3)
    | ~ spl3_37 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f2458,plain,
    ( e2 != op(op(e1,e3),e1)
    | ~ spl3_42
    | spl3_66 ),
    inference(forward_demodulation,[],[f490,f381]) ).

fof(f490,plain,
    ( e2 != op(op(e1,op(e1,e1)),e1)
    | spl3_66 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f488,plain,
    ( spl3_66
  <=> e2 = op(op(e1,op(e1,e1)),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_66])]) ).

fof(f2338,plain,
    ( ~ spl3_18
    | ~ spl3_86 ),
    inference(avatar_contradiction_clause,[],[f2337]) ).

fof(f2337,plain,
    ( $false
    | ~ spl3_18
    | ~ spl3_86 ),
    inference(subsumption_resolution,[],[f2334,f589]) ).

fof(f589,plain,
    ( e0 = op(e0,e0)
    | ~ spl3_86 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f587,plain,
    ( spl3_86
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_86])]) ).

fof(f2334,plain,
    ( e0 != op(e0,e0)
    | ~ spl3_18 ),
    inference(superposition,[],[f128,f279]) ).

fof(f279,plain,
    ( e0 = op(e3,e0)
    | ~ spl3_18 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f277,plain,
    ( spl3_18
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).

fof(f128,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2319,plain,
    ( ~ spl3_7
    | ~ spl3_9 ),
    inference(avatar_contradiction_clause,[],[f2318]) ).

fof(f2318,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_9 ),
    inference(subsumption_resolution,[],[f2312,f87]) ).

fof(f87,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f2312,plain,
    ( e0 = e2
    | ~ spl3_7
    | ~ spl3_9 ),
    inference(superposition,[],[f240,f232]) ).

fof(f232,plain,
    ( e0 = op(e0,e1)
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f230,plain,
    ( spl3_7
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f2305,plain,
    ( ~ spl3_45
    | ~ spl3_42
    | spl3_100 ),
    inference(avatar_split_clause,[],[f2304,f666,f379,f392]) ).

fof(f392,plain,
    ( spl3_45
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_45])]) ).

fof(f666,plain,
    ( spl3_100
  <=> e1 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_100])]) ).

fof(f2304,plain,
    ( e1 != op(e3,e3)
    | ~ spl3_42
    | spl3_100 ),
    inference(forward_demodulation,[],[f667,f381]) ).

fof(f667,plain,
    ( e1 != op(op(e1,e1),op(e1,e1))
    | spl3_100 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f2299,plain,
    ( spl3_57
    | ~ spl3_9
    | ~ spl3_79 ),
    inference(avatar_split_clause,[],[f2298,f552,f238,f446]) ).

fof(f446,plain,
    ( spl3_57
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_57])]) ).

fof(f552,plain,
    ( spl3_79
  <=> e1 = op(op(e0,e1),op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_79])]) ).

fof(f2298,plain,
    ( e1 = op(e2,e2)
    | ~ spl3_9
    | ~ spl3_79 ),
    inference(forward_demodulation,[],[f554,f240]) ).

fof(f554,plain,
    ( e1 = op(op(e0,e1),op(e0,e1))
    | ~ spl3_79 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f2295,plain,
    ( ~ spl3_8
    | ~ spl3_49
    | spl3_97 ),
    inference(avatar_split_clause,[],[f2294,f648,f409,f234]) ).

fof(f409,plain,
    ( spl3_49
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_49])]) ).

fof(f2294,plain,
    ( e3 != op(e0,e1)
    | ~ spl3_49
    | spl3_97 ),
    inference(forward_demodulation,[],[f650,f410]) ).

fof(f410,plain,
    ( op(e0,e0) = e1
    | ~ spl3_49 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f2285,plain,
    ( ~ spl3_62
    | ~ spl3_96 ),
    inference(avatar_contradiction_clause,[],[f2284]) ).

fof(f2284,plain,
    ( $false
    | ~ spl3_62
    | ~ spl3_96 ),
    inference(subsumption_resolution,[],[f2283,f84]) ).

fof(f2283,plain,
    ( e1 = e2
    | ~ spl3_62
    | ~ spl3_96 ),
    inference(forward_demodulation,[],[f470,f645]) ).

fof(f645,plain,
    ( e1 = op(e2,e1)
    | ~ spl3_96 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f643,plain,
    ( spl3_96
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_96])]) ).

fof(f470,plain,
    ( e2 = op(e2,e1)
    | ~ spl3_62 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f468,plain,
    ( spl3_62
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_62])]) ).

fof(f2274,plain,
    ( ~ spl3_15
    | ~ spl3_82 ),
    inference(avatar_contradiction_clause,[],[f2273]) ).

fof(f2273,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_82 ),
    inference(subsumption_resolution,[],[f2272,f84]) ).

fof(f2272,plain,
    ( e1 = e2
    | ~ spl3_15
    | ~ spl3_82 ),
    inference(forward_demodulation,[],[f266,f567]) ).

fof(f266,plain,
    ( e2 = op(e1,e3)
    | ~ spl3_15 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl3_15
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).

fof(f2266,plain,
    ( spl3_42
    | ~ spl3_82
    | ~ spl3_106 ),
    inference(avatar_split_clause,[],[f2265,f706,f565,f379]) ).

fof(f706,plain,
    ( spl3_106
  <=> e3 = op(op(e1,e3),op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_106])]) ).

fof(f2265,plain,
    ( e3 = op(e1,e1)
    | ~ spl3_82
    | ~ spl3_106 ),
    inference(forward_demodulation,[],[f708,f567]) ).

fof(f708,plain,
    ( e3 = op(op(e1,e3),op(e1,e3))
    | ~ spl3_106 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f2261,plain,
    ( ~ spl3_3
    | spl3_49
    | ~ spl3_56 ),
    inference(avatar_contradiction_clause,[],[f2260]) ).

fof(f2260,plain,
    ( $false
    | ~ spl3_3
    | spl3_49
    | ~ spl3_56 ),
    inference(subsumption_resolution,[],[f2259,f411]) ).

fof(f411,plain,
    ( op(e0,e0) != e1
    | spl3_49 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f2259,plain,
    ( op(e0,e0) = e1
    | ~ spl3_3
    | ~ spl3_56 ),
    inference(forward_demodulation,[],[f214,f443]) ).

fof(f443,plain,
    ( e0 = op(e2,e1)
    | ~ spl3_56 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f441,plain,
    ( spl3_56
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_56])]) ).

fof(f214,plain,
    ( e1 = op(op(e2,e1),op(e2,e1))
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f212,plain,
    ( spl3_3
  <=> e1 = op(op(e2,e1),op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f2258,plain,
    ( ~ spl3_70
    | ~ spl3_82 ),
    inference(avatar_contradiction_clause,[],[f2257]) ).

fof(f2257,plain,
    ( $false
    | ~ spl3_70
    | ~ spl3_82 ),
    inference(subsumption_resolution,[],[f2209,f509]) ).

fof(f509,plain,
    ( e1 = op(e1,e2)
    | ~ spl3_70 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f507,plain,
    ( spl3_70
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_70])]) ).

fof(f2209,plain,
    ( e1 != op(e1,e2)
    | ~ spl3_82 ),
    inference(superposition,[],[f143,f567]) ).

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

fof(f2256,plain,
    ( ~ spl3_35
    | spl3_36
    | ~ spl3_101 ),
    inference(avatar_contradiction_clause,[],[f2255]) ).

fof(f2255,plain,
    ( $false
    | ~ spl3_35
    | spl3_36
    | ~ spl3_101 ),
    inference(subsumption_resolution,[],[f2254,f355]) ).

fof(f355,plain,
    ( e0 != op(e1,e1)
    | spl3_36 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f354,plain,
    ( spl3_36
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_36])]) ).

fof(f2254,plain,
    ( e0 = op(e1,e1)
    | ~ spl3_35
    | ~ spl3_101 ),
    inference(forward_demodulation,[],[f674,f351]) ).

fof(f351,plain,
    ( e1 = op(e2,e0)
    | ~ spl3_35 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f349,plain,
    ( spl3_35
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).

fof(f674,plain,
    ( e0 = op(op(e2,e0),op(e2,e0))
    | ~ spl3_101 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f672,plain,
    ( spl3_101
  <=> e0 = op(op(e2,e0),op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_101])]) ).

fof(f2242,plain,
    ( ~ spl3_39
    | ~ spl3_82 ),
    inference(avatar_contradiction_clause,[],[f2241]) ).

fof(f2241,plain,
    ( $false
    | ~ spl3_39
    | ~ spl3_82 ),
    inference(subsumption_resolution,[],[f2240,f83]) ).

fof(f2240,plain,
    ( e1 = e3
    | ~ spl3_39
    | ~ spl3_82 ),
    inference(forward_demodulation,[],[f369,f567]) ).

fof(f369,plain,
    ( e3 = op(e1,e3)
    | ~ spl3_39 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f367,plain,
    ( spl3_39
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_39])]) ).

fof(f2236,plain,
    ( ~ spl3_22
    | ~ spl3_78 ),
    inference(avatar_contradiction_clause,[],[f2235]) ).

fof(f2235,plain,
    ( $false
    | ~ spl3_22
    | ~ spl3_78 ),
    inference(subsumption_resolution,[],[f2234,f85]) ).

fof(f85,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f2234,plain,
    ( e2 = e3
    | ~ spl3_22
    | ~ spl3_78 ),
    inference(forward_demodulation,[],[f295,f549]) ).

fof(f549,plain,
    ( e2 = op(e2,e2)
    | ~ spl3_78 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f547,plain,
    ( spl3_78
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_78])]) ).

fof(f2230,plain,
    ( ~ spl3_8
    | ~ spl3_20
    | spl3_26
    | ~ spl3_49 ),
    inference(avatar_contradiction_clause,[],[f2229]) ).

fof(f2229,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_20
    | spl3_26
    | ~ spl3_49 ),
    inference(subsumption_resolution,[],[f2228,f287]) ).

fof(f287,plain,
    ( e2 = op(e3,e0)
    | ~ spl3_20 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f285,plain,
    ( spl3_20
  <=> e2 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).

fof(f2228,plain,
    ( e2 != op(e3,e0)
    | ~ spl3_8
    | spl3_26
    | ~ spl3_49 ),
    inference(forward_demodulation,[],[f2227,f236]) ).

fof(f236,plain,
    ( e3 = op(e0,e1)
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f2227,plain,
    ( e2 != op(op(e0,e1),e0)
    | spl3_26
    | ~ spl3_49 ),
    inference(superposition,[],[f313,f410]) ).

fof(f313,plain,
    ( e2 != op(op(e0,op(e0,e0)),e0)
    | spl3_26 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f311,plain,
    ( spl3_26
  <=> e2 = op(op(e0,op(e0,e0)),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).

fof(f2135,plain,
    ( ~ spl3_52
    | ~ spl3_40 ),
    inference(avatar_split_clause,[],[f2105,f371,f423]) ).

fof(f371,plain,
    ( spl3_40
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_40])]) ).

fof(f2105,plain,
    ( e3 != op(e0,e2)
    | ~ spl3_40 ),
    inference(superposition,[],[f144,f373]) ).

fof(f373,plain,
    ( e3 = op(e1,e2)
    | ~ spl3_40 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f144,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2134,plain,
    ( ~ spl3_43
    | ~ spl3_46 ),
    inference(avatar_contradiction_clause,[],[f2133]) ).

fof(f2133,plain,
    ( $false
    | ~ spl3_43
    | ~ spl3_46 ),
    inference(subsumption_resolution,[],[f2125,f87]) ).

fof(f2125,plain,
    ( e0 = e2
    | ~ spl3_43
    | ~ spl3_46 ),
    inference(superposition,[],[f386,f398]) ).

fof(f386,plain,
    ( e2 = op(e3,e3)
    | ~ spl3_43 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f384,plain,
    ( spl3_43
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_43])]) ).

fof(f2132,plain,
    ( ~ spl3_46
    | ~ spl3_85 ),
    inference(avatar_contradiction_clause,[],[f2131]) ).

fof(f2131,plain,
    ( $false
    | ~ spl3_46
    | ~ spl3_85 ),
    inference(subsumption_resolution,[],[f2120,f585]) ).

fof(f2120,plain,
    ( e0 != op(e0,e3)
    | ~ spl3_46 ),
    inference(superposition,[],[f133,f398]) ).

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

fof(f2130,plain,
    ( ~ spl3_28
    | ~ spl3_46 ),
    inference(avatar_contradiction_clause,[],[f2129]) ).

fof(f2129,plain,
    ( $false
    | ~ spl3_28
    | ~ spl3_46 ),
    inference(subsumption_resolution,[],[f2122,f322]) ).

fof(f322,plain,
    ( e0 = op(e3,e1)
    | ~ spl3_28 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f320,plain,
    ( spl3_28
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).

fof(f2122,plain,
    ( e0 != op(e3,e1)
    | ~ spl3_46 ),
    inference(superposition,[],[f142,f398]) ).

fof(f142,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2035,plain,
    ( ~ spl3_43
    | ~ spl3_44 ),
    inference(avatar_contradiction_clause,[],[f2034]) ).

fof(f2034,plain,
    ( $false
    | ~ spl3_43
    | ~ spl3_44 ),
    inference(subsumption_resolution,[],[f2033,f85]) ).

fof(f2033,plain,
    ( e2 = e3
    | ~ spl3_43
    | ~ spl3_44 ),
    inference(forward_demodulation,[],[f390,f386]) ).

fof(f390,plain,
    ( e3 = op(e3,e3)
    | ~ spl3_44 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f2032,plain,
    ( ~ spl3_81
    | ~ spl3_99 ),
    inference(avatar_contradiction_clause,[],[f2031]) ).

fof(f2031,plain,
    ( $false
    | ~ spl3_81
    | ~ spl3_99 ),
    inference(subsumption_resolution,[],[f2030,f83]) ).

fof(f2030,plain,
    ( e1 = e3
    | ~ spl3_81
    | ~ spl3_99 ),
    inference(forward_demodulation,[],[f662,f563]) ).

fof(f662,plain,
    ( e3 = op(e0,e3)
    | ~ spl3_99 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f660,plain,
    ( spl3_99
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_99])]) ).

fof(f2028,plain,
    ( ~ spl3_25
    | ~ spl3_37
    | spl3_106 ),
    inference(avatar_split_clause,[],[f2027,f706,f358,f307]) ).

fof(f2027,plain,
    ( op(e0,e0) != e3
    | ~ spl3_37
    | spl3_106 ),
    inference(forward_demodulation,[],[f707,f360]) ).

fof(f707,plain,
    ( e3 != op(op(e1,e3),op(e1,e3))
    | spl3_106 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f2023,plain,
    ( ~ spl3_25
    | ~ spl3_86 ),
    inference(avatar_contradiction_clause,[],[f2022]) ).

fof(f2022,plain,
    ( $false
    | ~ spl3_25
    | ~ spl3_86 ),
    inference(subsumption_resolution,[],[f2021,f88]) ).

fof(f88,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f2021,plain,
    ( e0 = e3
    | ~ spl3_25
    | ~ spl3_86 ),
    inference(forward_demodulation,[],[f308,f589]) ).

fof(f2014,plain,
    ( ~ spl3_36
    | spl3_49
    | ~ spl3_100 ),
    inference(avatar_contradiction_clause,[],[f2013]) ).

fof(f2013,plain,
    ( $false
    | ~ spl3_36
    | spl3_49
    | ~ spl3_100 ),
    inference(subsumption_resolution,[],[f2001,f411]) ).

fof(f2001,plain,
    ( op(e0,e0) = e1
    | ~ spl3_36
    | ~ spl3_100 ),
    inference(forward_demodulation,[],[f668,f356]) ).

fof(f356,plain,
    ( e0 = op(e1,e1)
    | ~ spl3_36 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f668,plain,
    ( e1 = op(op(e1,e1),op(e1,e1))
    | ~ spl3_100 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f2012,plain,
    ( ~ spl3_37
    | ~ spl3_43
    | ~ spl3_50
    | spl3_68 ),
    inference(avatar_split_clause,[],[f2011,f498,f414,f384,f358]) ).

fof(f414,plain,
    ( spl3_50
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_50])]) ).

fof(f498,plain,
    ( spl3_68
  <=> e0 = op(op(e3,op(e3,e3)),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_68])]) ).

fof(f2011,plain,
    ( e0 != op(e1,e3)
    | ~ spl3_43
    | ~ spl3_50
    | spl3_68 ),
    inference(forward_demodulation,[],[f2010,f416]) ).

fof(f416,plain,
    ( e1 = op(e3,e2)
    | ~ spl3_50 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f2010,plain,
    ( e0 != op(op(e3,e2),e3)
    | ~ spl3_43
    | spl3_68 ),
    inference(forward_demodulation,[],[f500,f386]) ).

fof(f500,plain,
    ( e0 != op(op(e3,op(e3,e3)),e3)
    | spl3_68 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f2006,plain,
    ( ~ spl3_43
    | ~ spl3_50
    | spl3_93 ),
    inference(avatar_contradiction_clause,[],[f2005]) ).

fof(f2005,plain,
    ( $false
    | ~ spl3_43
    | ~ spl3_50
    | spl3_93 ),
    inference(subsumption_resolution,[],[f2004,f416]) ).

fof(f2004,plain,
    ( e1 != op(e3,e2)
    | ~ spl3_43
    | spl3_93 ),
    inference(forward_demodulation,[],[f628,f386]) ).

fof(f628,plain,
    ( e1 != op(e3,op(e3,e3))
    | spl3_93 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f626,plain,
    ( spl3_93
  <=> e1 = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_93])]) ).

fof(f1980,plain,
    ( ~ spl3_13
    | ~ spl3_49
    | ~ spl3_103 ),
    inference(avatar_contradiction_clause,[],[f1979]) ).

fof(f1979,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_49
    | ~ spl3_103 ),
    inference(subsumption_resolution,[],[f1978,f84]) ).

fof(f1978,plain,
    ( e1 = e2
    | ~ spl3_13
    | ~ spl3_49
    | ~ spl3_103 ),
    inference(forward_demodulation,[],[f1977,f410]) ).

fof(f1977,plain,
    ( op(e0,e0) = e2
    | ~ spl3_13
    | ~ spl3_103 ),
    inference(forward_demodulation,[],[f691,f257]) ).

fof(f257,plain,
    ( e0 = op(e2,e2)
    | ~ spl3_13 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f255,plain,
    ( spl3_13
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).

fof(f691,plain,
    ( e2 = op(op(e2,e2),op(e2,e2))
    | ~ spl3_103 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f689,plain,
    ( spl3_103
  <=> e2 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_103])]) ).

fof(f1951,plain,
    ( ~ spl3_50
    | ~ spl3_77 ),
    inference(avatar_contradiction_clause,[],[f1950]) ).

fof(f1950,plain,
    ( $false
    | ~ spl3_50
    | ~ spl3_77 ),
    inference(subsumption_resolution,[],[f1949,f83]) ).

fof(f1949,plain,
    ( e1 = e3
    | ~ spl3_50
    | ~ spl3_77 ),
    inference(forward_demodulation,[],[f544,f416]) ).

fof(f544,plain,
    ( e3 = op(e3,e2)
    | ~ spl3_77 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f542,plain,
    ( spl3_77
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_77])]) ).

fof(f1930,plain,
    ( ~ spl3_30
    | spl3_45
    | ~ spl3_107 ),
    inference(avatar_contradiction_clause,[],[f1929]) ).

fof(f1929,plain,
    ( $false
    | ~ spl3_30
    | spl3_45
    | ~ spl3_107 ),
    inference(subsumption_resolution,[],[f1928,f393]) ).

fof(f393,plain,
    ( e1 != op(e3,e3)
    | spl3_45 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f1928,plain,
    ( e1 = op(e3,e3)
    | ~ spl3_30
    | ~ spl3_107 ),
    inference(forward_demodulation,[],[f714,f330]) ).

fof(f330,plain,
    ( e3 = op(e3,e1)
    | ~ spl3_30 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f328,plain,
    ( spl3_30
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).

fof(f714,plain,
    ( e1 = op(op(e3,e1),op(e3,e1))
    | ~ spl3_107 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f712,plain,
    ( spl3_107
  <=> e1 = op(op(e3,e1),op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_107])]) ).

fof(f1917,plain,
    ( ~ spl3_18
    | ~ spl3_72
    | spl3_86 ),
    inference(avatar_contradiction_clause,[],[f1916]) ).

fof(f1916,plain,
    ( $false
    | ~ spl3_18
    | ~ spl3_72
    | spl3_86 ),
    inference(subsumption_resolution,[],[f1915,f588]) ).

fof(f588,plain,
    ( e0 != op(e0,e0)
    | spl3_86 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f1915,plain,
    ( e0 = op(e0,e0)
    | ~ spl3_18
    | ~ spl3_72 ),
    inference(forward_demodulation,[],[f519,f279]) ).

fof(f519,plain,
    ( e0 = op(op(e3,e0),op(e3,e0))
    | ~ spl3_72 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f517,plain,
    ( spl3_72
  <=> e0 = op(op(e3,e0),op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_72])]) ).

fof(f1909,plain,
    ( ~ spl3_25
    | ~ spl3_83 ),
    inference(avatar_contradiction_clause,[],[f1908]) ).

fof(f1908,plain,
    ( $false
    | ~ spl3_25
    | ~ spl3_83 ),
    inference(subsumption_resolution,[],[f1907,f85]) ).

fof(f1907,plain,
    ( e2 = e3
    | ~ spl3_25
    | ~ spl3_83 ),
    inference(forward_demodulation,[],[f308,f574]) ).

fof(f1905,plain,
    ( spl3_52
    | ~ spl3_83
    | ~ spl3_97 ),
    inference(avatar_split_clause,[],[f1904,f648,f572,f423]) ).

fof(f1904,plain,
    ( e3 = op(e0,e2)
    | ~ spl3_83
    | ~ spl3_97 ),
    inference(forward_demodulation,[],[f649,f574]) ).

fof(f649,plain,
    ( e3 = op(e0,op(e0,e0))
    | ~ spl3_97 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f1903,plain,
    ( ~ spl3_5
    | spl3_14
    | ~ spl3_50 ),
    inference(avatar_contradiction_clause,[],[f1902]) ).

fof(f1902,plain,
    ( $false
    | ~ spl3_5
    | spl3_14
    | ~ spl3_50 ),
    inference(subsumption_resolution,[],[f1901,f261]) ).

fof(f261,plain,
    ( e2 != op(e1,e1)
    | spl3_14 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl3_14
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).

fof(f1901,plain,
    ( e2 = op(e1,e1)
    | ~ spl3_5
    | ~ spl3_50 ),
    inference(forward_demodulation,[],[f223,f416]) ).

fof(f1900,plain,
    ( ~ spl3_53
    | ~ spl3_22
    | spl3_24
    | ~ spl3_64 ),
    inference(avatar_split_clause,[],[f1882,f479,f302,f294,f427]) ).

fof(f427,plain,
    ( spl3_53
  <=> e1 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_53])]) ).

fof(f302,plain,
    ( spl3_24
  <=> e1 = op(op(e2,op(e2,e2)),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).

fof(f479,plain,
    ( spl3_64
  <=> e0 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_64])]) ).

fof(f1882,plain,
    ( e1 != op(e0,e2)
    | ~ spl3_22
    | spl3_24
    | ~ spl3_64 ),
    inference(forward_demodulation,[],[f1881,f481]) ).

fof(f481,plain,
    ( e0 = op(e2,e3)
    | ~ spl3_64 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f1881,plain,
    ( e1 != op(op(e2,e3),e2)
    | ~ spl3_22
    | spl3_24 ),
    inference(forward_demodulation,[],[f304,f295]) ).

fof(f304,plain,
    ( e1 != op(op(e2,op(e2,e2)),e2)
    | spl3_24 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f1895,plain,
    ( spl3_43
    | ~ spl3_22
    | ~ spl3_103 ),
    inference(avatar_split_clause,[],[f1894,f689,f294,f384]) ).

fof(f1894,plain,
    ( e2 = op(e3,e3)
    | ~ spl3_22
    | ~ spl3_103 ),
    inference(forward_demodulation,[],[f691,f295]) ).

fof(f1889,plain,
    ( ~ spl3_7
    | ~ spl3_28 ),
    inference(avatar_contradiction_clause,[],[f1888]) ).

fof(f1888,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f1886,f232]) ).

fof(f1886,plain,
    ( e0 != op(e0,e1)
    | ~ spl3_28 ),
    inference(superposition,[],[f129,f322]) ).

fof(f129,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1879,plain,
    ( ~ spl3_22
    | spl3_23
    | ~ spl3_64 ),
    inference(avatar_contradiction_clause,[],[f1878]) ).

fof(f1878,plain,
    ( $false
    | ~ spl3_22
    | spl3_23
    | ~ spl3_64 ),
    inference(subsumption_resolution,[],[f1871,f481]) ).

fof(f1871,plain,
    ( e0 != op(e2,e3)
    | ~ spl3_22
    | spl3_23 ),
    inference(superposition,[],[f300,f295]) ).

fof(f300,plain,
    ( e0 != op(e2,op(e2,e2))
    | spl3_23 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f298,plain,
    ( spl3_23
  <=> e0 = op(e2,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).

fof(f1850,plain,
    ( ~ spl3_14
    | ~ spl3_15 ),
    inference(avatar_split_clause,[],[f1743,f264,f260]) ).

fof(f1743,plain,
    ( e2 != op(e1,e1)
    | ~ spl3_15 ),
    inference(superposition,[],[f132,f266]) ).

fof(f132,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1848,plain,
    ( spl3_22
    | ~ spl3_15
    | ~ spl3_106 ),
    inference(avatar_split_clause,[],[f1847,f706,f264,f294]) ).

fof(f1847,plain,
    ( e3 = op(e2,e2)
    | ~ spl3_15
    | ~ spl3_106 ),
    inference(forward_demodulation,[],[f708,f266]) ).

fof(f1842,plain,
    ( ~ spl3_22
    | ~ spl3_77 ),
    inference(avatar_split_clause,[],[f1635,f542,f294]) ).

fof(f1635,plain,
    ( e3 != op(e2,e2)
    | ~ spl3_77 ),
    inference(superposition,[],[f125,f544]) ).

fof(f125,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1838,plain,
    ( spl3_49
    | ~ spl3_28
    | ~ spl3_107 ),
    inference(avatar_split_clause,[],[f1837,f712,f320,f409]) ).

fof(f1837,plain,
    ( op(e0,e0) = e1
    | ~ spl3_28
    | ~ spl3_107 ),
    inference(forward_demodulation,[],[f714,f322]) ).

fof(f1830,plain,
    ( ~ spl3_42
    | ~ spl3_63 ),
    inference(avatar_contradiction_clause,[],[f1829]) ).

fof(f1829,plain,
    ( $false
    | ~ spl3_42
    | ~ spl3_63 ),
    inference(subsumption_resolution,[],[f1828,f83]) ).

fof(f1828,plain,
    ( e1 = e3
    | ~ spl3_42
    | ~ spl3_63 ),
    inference(forward_demodulation,[],[f381,f476]) ).

fof(f1808,plain,
    ( spl3_44
    | ~ spl3_90
    | ~ spl3_99 ),
    inference(avatar_contradiction_clause,[],[f1807]) ).

fof(f1807,plain,
    ( $false
    | spl3_44
    | ~ spl3_90
    | ~ spl3_99 ),
    inference(subsumption_resolution,[],[f1806,f389]) ).

fof(f1806,plain,
    ( e3 = op(e3,e3)
    | ~ spl3_90
    | ~ spl3_99 ),
    inference(forward_demodulation,[],[f611,f662]) ).

fof(f611,plain,
    ( e3 = op(op(e0,e3),op(e0,e3))
    | ~ spl3_90 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f609,plain,
    ( spl3_90
  <=> e3 = op(op(e0,e3),op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_90])]) ).

fof(f1801,plain,
    ( ~ spl3_15
    | ~ spl3_39 ),
    inference(avatar_contradiction_clause,[],[f1800]) ).

fof(f1800,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_39 ),
    inference(subsumption_resolution,[],[f1799,f85]) ).

fof(f1799,plain,
    ( e2 = e3
    | ~ spl3_15
    | ~ spl3_39 ),
    inference(forward_demodulation,[],[f369,f266]) ).

fof(f1791,plain,
    ( spl3_8
    | ~ spl3_49
    | ~ spl3_97 ),
    inference(avatar_contradiction_clause,[],[f1790]) ).

fof(f1790,plain,
    ( $false
    | spl3_8
    | ~ spl3_49
    | ~ spl3_97 ),
    inference(subsumption_resolution,[],[f1789,f235]) ).

fof(f235,plain,
    ( e3 != op(e0,e1)
    | spl3_8 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f1789,plain,
    ( e3 = op(e0,e1)
    | ~ spl3_49
    | ~ spl3_97 ),
    inference(forward_demodulation,[],[f649,f410]) ).

fof(f1784,plain,
    ( ~ spl3_62
    | ~ spl3_89 ),
    inference(avatar_contradiction_clause,[],[f1783]) ).

fof(f1783,plain,
    ( $false
    | ~ spl3_62
    | ~ spl3_89 ),
    inference(subsumption_resolution,[],[f1782,f85]) ).

fof(f1782,plain,
    ( e2 = e3
    | ~ spl3_62
    | ~ spl3_89 ),
    inference(forward_demodulation,[],[f606,f470]) ).

fof(f606,plain,
    ( e3 = op(e2,e1)
    | ~ spl3_89 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f604,plain,
    ( spl3_89
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_89])]) ).

fof(f1780,plain,
    ( ~ spl3_7
    | spl3_49
    | ~ spl3_79 ),
    inference(avatar_contradiction_clause,[],[f1779]) ).

fof(f1779,plain,
    ( $false
    | ~ spl3_7
    | spl3_49
    | ~ spl3_79 ),
    inference(subsumption_resolution,[],[f1778,f411]) ).

fof(f1778,plain,
    ( op(e0,e0) = e1
    | ~ spl3_7
    | ~ spl3_79 ),
    inference(forward_demodulation,[],[f554,f232]) ).

fof(f1772,plain,
    ( ~ spl3_25
    | ~ spl3_81
    | ~ spl3_97 ),
    inference(avatar_contradiction_clause,[],[f1771]) ).

fof(f1771,plain,
    ( $false
    | ~ spl3_25
    | ~ spl3_81
    | ~ spl3_97 ),
    inference(subsumption_resolution,[],[f1770,f83]) ).

fof(f1770,plain,
    ( e1 = e3
    | ~ spl3_25
    | ~ spl3_81
    | ~ spl3_97 ),
    inference(forward_demodulation,[],[f1769,f563]) ).

fof(f1769,plain,
    ( e3 = op(e0,e3)
    | ~ spl3_25
    | ~ spl3_97 ),
    inference(forward_demodulation,[],[f649,f308]) ).

fof(f1766,plain,
    ( ~ spl3_15
    | ~ spl3_42
    | spl3_61 ),
    inference(avatar_contradiction_clause,[],[f1765]) ).

fof(f1765,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_42
    | spl3_61 ),
    inference(subsumption_resolution,[],[f1764,f266]) ).

fof(f1764,plain,
    ( e2 != op(e1,e3)
    | ~ spl3_42
    | spl3_61 ),
    inference(forward_demodulation,[],[f465,f381]) ).

fof(f465,plain,
    ( e2 != op(e1,op(e1,e1))
    | spl3_61 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f463,plain,
    ( spl3_61
  <=> e2 = op(e1,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_61])]) ).

fof(f1762,plain,
    ( ~ spl3_15
    | ~ spl3_42
    | ~ spl3_56
    | spl3_60 ),
    inference(avatar_contradiction_clause,[],[f1761]) ).

fof(f1761,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_42
    | ~ spl3_56
    | spl3_60 ),
    inference(subsumption_resolution,[],[f1760,f443]) ).

fof(f1760,plain,
    ( e0 != op(e2,e1)
    | ~ spl3_15
    | ~ spl3_42
    | spl3_60 ),
    inference(forward_demodulation,[],[f1757,f266]) ).

fof(f1757,plain,
    ( e0 != op(op(e1,e3),e1)
    | ~ spl3_42
    | spl3_60 ),
    inference(superposition,[],[f461,f381]) ).

fof(f461,plain,
    ( e0 != op(op(e1,op(e1,e1)),e1)
    | spl3_60 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f459,plain,
    ( spl3_60
  <=> e0 = op(op(e1,op(e1,e1)),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_60])]) ).

fof(f1735,plain,
    ( spl3_42
    | ~ spl3_81
    | ~ spl3_90 ),
    inference(avatar_split_clause,[],[f1734,f609,f561,f379]) ).

fof(f1734,plain,
    ( e3 = op(e1,e1)
    | ~ spl3_81
    | ~ spl3_90 ),
    inference(forward_demodulation,[],[f611,f563]) ).

fof(f1731,plain,
    ( ~ spl3_29
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f1730]) ).

fof(f1730,plain,
    ( $false
    | ~ spl3_29
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f1729,f83]) ).

fof(f1729,plain,
    ( e1 = e3
    | ~ spl3_29
    | ~ spl3_30 ),
    inference(forward_demodulation,[],[f330,f326]) ).

fof(f326,plain,
    ( e1 = op(e3,e1)
    | ~ spl3_29 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f324,plain,
    ( spl3_29
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).

fof(f1712,plain,
    ( ~ spl3_39
    | ~ spl3_42 ),
    inference(avatar_contradiction_clause,[],[f1711]) ).

fof(f1711,plain,
    ( $false
    | ~ spl3_39
    | ~ spl3_42 ),
    inference(subsumption_resolution,[],[f1644,f381]) ).

fof(f1644,plain,
    ( e3 != op(e1,e1)
    | ~ spl3_39 ),
    inference(superposition,[],[f132,f369]) ).

fof(f1710,plain,
    ( ~ spl3_64
    | ~ spl3_105 ),
    inference(avatar_contradiction_clause,[],[f1709]) ).

fof(f1709,plain,
    ( $false
    | ~ spl3_64
    | ~ spl3_105 ),
    inference(subsumption_resolution,[],[f1708,f88]) ).

fof(f1708,plain,
    ( e0 = e3
    | ~ spl3_64
    | ~ spl3_105 ),
    inference(forward_demodulation,[],[f701,f481]) ).

fof(f1703,plain,
    ( ~ spl3_56
    | ~ spl3_64 ),
    inference(avatar_split_clause,[],[f1654,f479,f441]) ).

fof(f1654,plain,
    ( e0 != op(e2,e1)
    | ~ spl3_64 ),
    inference(superposition,[],[f140,f481]) ).

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

fof(f1702,plain,
    ( ~ spl3_85
    | ~ spl3_64 ),
    inference(avatar_split_clause,[],[f1666,f479,f583]) ).

fof(f1666,plain,
    ( e0 != op(e0,e3)
    | ~ spl3_64 ),
    inference(superposition,[],[f148,f481]) ).

fof(f148,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1699,plain,
    ( ~ spl3_20
    | ~ spl3_83 ),
    inference(avatar_contradiction_clause,[],[f1698]) ).

fof(f1698,plain,
    ( $false
    | ~ spl3_20
    | ~ spl3_83 ),
    inference(subsumption_resolution,[],[f1639,f574]) ).

fof(f1639,plain,
    ( op(e0,e0) != e2
    | ~ spl3_20 ),
    inference(superposition,[],[f128,f287]) ).

fof(f1696,plain,
    ( ~ spl3_25
    | ~ spl3_35
    | ~ spl3_55
    | spl3_71 ),
    inference(avatar_contradiction_clause,[],[f1695]) ).

fof(f1695,plain,
    ( $false
    | ~ spl3_25
    | ~ spl3_35
    | ~ spl3_55
    | spl3_71 ),
    inference(subsumption_resolution,[],[f1694,f351]) ).

fof(f1694,plain,
    ( e1 != op(e2,e0)
    | ~ spl3_25
    | ~ spl3_55
    | spl3_71 ),
    inference(forward_demodulation,[],[f1690,f438]) ).

fof(f438,plain,
    ( e2 = op(e0,e3)
    | ~ spl3_55 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f436,plain,
    ( spl3_55
  <=> e2 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_55])]) ).

fof(f1690,plain,
    ( e1 != op(op(e0,e3),e0)
    | ~ spl3_25
    | spl3_71 ),
    inference(superposition,[],[f514,f308]) ).

fof(f1571,plain,
    ( ~ spl3_57
    | ~ spl3_14
    | spl3_100 ),
    inference(avatar_split_clause,[],[f1570,f666,f260,f446]) ).

fof(f1570,plain,
    ( e1 != op(e2,e2)
    | ~ spl3_14
    | spl3_100 ),
    inference(forward_demodulation,[],[f667,f262]) ).

fof(f262,plain,
    ( e2 = op(e1,e1)
    | ~ spl3_14 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f1569,plain,
    ( spl3_25
    | ~ spl3_64
    | ~ spl3_91 ),
    inference(avatar_split_clause,[],[f1552,f614,f479,f307]) ).

fof(f1552,plain,
    ( op(e0,e0) = e3
    | ~ spl3_64
    | ~ spl3_91 ),
    inference(forward_demodulation,[],[f616,f481]) ).

fof(f1566,plain,
    ( ~ spl3_55
    | ~ spl3_99 ),
    inference(avatar_contradiction_clause,[],[f1565]) ).

fof(f1565,plain,
    ( $false
    | ~ spl3_55
    | ~ spl3_99 ),
    inference(subsumption_resolution,[],[f1564,f85]) ).

fof(f1564,plain,
    ( e2 = e3
    | ~ spl3_55
    | ~ spl3_99 ),
    inference(forward_demodulation,[],[f662,f438]) ).

fof(f1548,plain,
    ( ~ spl3_28
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f1547]) ).

fof(f1547,plain,
    ( $false
    | ~ spl3_28
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f1542,f86]) ).

fof(f1542,plain,
    ( e0 = e1
    | ~ spl3_28
    | ~ spl3_29 ),
    inference(superposition,[],[f326,f322]) ).

fof(f1535,plain,
    ( ~ spl3_55
    | ~ spl3_81 ),
    inference(avatar_contradiction_clause,[],[f1534]) ).

fof(f1534,plain,
    ( $false
    | ~ spl3_55
    | ~ spl3_81 ),
    inference(subsumption_resolution,[],[f1533,f84]) ).

fof(f1533,plain,
    ( e1 = e2
    | ~ spl3_55
    | ~ spl3_81 ),
    inference(forward_demodulation,[],[f438,f563]) ).

fof(f1526,plain,
    ( ~ spl3_10
    | ~ spl3_51 ),
    inference(avatar_contradiction_clause,[],[f1525]) ).

fof(f1525,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_51 ),
    inference(subsumption_resolution,[],[f1524,f87]) ).

fof(f1524,plain,
    ( e0 = e2
    | ~ spl3_10
    | ~ spl3_51 ),
    inference(forward_demodulation,[],[f421,f245]) ).

fof(f421,plain,
    ( e2 = op(e0,e2)
    | ~ spl3_51 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f419,plain,
    ( spl3_51
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_51])]) ).

fof(f1521,plain,
    ( ~ spl3_38
    | ~ spl3_94 ),
    inference(avatar_contradiction_clause,[],[f1520]) ).

fof(f1520,plain,
    ( $false
    | ~ spl3_38
    | ~ spl3_94 ),
    inference(subsumption_resolution,[],[f1519,f86]) ).

fof(f1519,plain,
    ( e0 = e1
    | ~ spl3_38
    | ~ spl3_94 ),
    inference(forward_demodulation,[],[f633,f364]) ).

fof(f364,plain,
    ( e0 = op(e1,e0)
    | ~ spl3_38 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f362,plain,
    ( spl3_38
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_38])]) ).

fof(f1512,plain,
    ( ~ spl3_18
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f1511]) ).

fof(f1511,plain,
    ( $false
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f1510,f86]) ).

fof(f1510,plain,
    ( e0 = e1
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f291,f279]) ).

fof(f1505,plain,
    ( ~ spl3_32
    | ~ spl3_35 ),
    inference(avatar_contradiction_clause,[],[f1504]) ).

fof(f1504,plain,
    ( $false
    | ~ spl3_32
    | ~ spl3_35 ),
    inference(subsumption_resolution,[],[f1503,f84]) ).

fof(f1503,plain,
    ( e1 = e2
    | ~ spl3_32
    | ~ spl3_35 ),
    inference(forward_demodulation,[],[f339,f351]) ).

fof(f339,plain,
    ( e2 = op(e2,e0)
    | ~ spl3_32 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f337,plain,
    ( spl3_32
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).

fof(f1497,plain,
    ( ~ spl3_12
    | ~ spl3_70 ),
    inference(avatar_contradiction_clause,[],[f1496]) ).

fof(f1496,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_70 ),
    inference(subsumption_resolution,[],[f1495,f86]) ).

fof(f1495,plain,
    ( e0 = e1
    | ~ spl3_12
    | ~ spl3_70 ),
    inference(forward_demodulation,[],[f509,f253]) ).

fof(f1490,plain,
    ( ~ spl3_11
    | ~ spl3_77 ),
    inference(avatar_contradiction_clause,[],[f1489]) ).

fof(f1489,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_77 ),
    inference(subsumption_resolution,[],[f1488,f88]) ).

fof(f1488,plain,
    ( e0 = e3
    | ~ spl3_11
    | ~ spl3_77 ),
    inference(forward_demodulation,[],[f544,f249]) ).

fof(f1484,plain,
    ( ~ spl3_51
    | ~ spl3_53 ),
    inference(avatar_contradiction_clause,[],[f1483]) ).

fof(f1483,plain,
    ( $false
    | ~ spl3_51
    | ~ spl3_53 ),
    inference(subsumption_resolution,[],[f1482,f84]) ).

fof(f1482,plain,
    ( e1 = e2
    | ~ spl3_51
    | ~ spl3_53 ),
    inference(forward_demodulation,[],[f421,f429]) ).

fof(f429,plain,
    ( e1 = op(e0,e2)
    | ~ spl3_53 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f1480,plain,
    ( ~ spl3_13
    | ~ spl3_78 ),
    inference(avatar_contradiction_clause,[],[f1479]) ).

fof(f1479,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_78 ),
    inference(subsumption_resolution,[],[f1473,f87]) ).

fof(f1473,plain,
    ( e0 = e2
    | ~ spl3_13
    | ~ spl3_78 ),
    inference(superposition,[],[f549,f257]) ).

fof(f1456,plain,
    ( ~ spl3_36
    | ~ spl3_94
    | spl3_102 ),
    inference(avatar_split_clause,[],[f1455,f682,f631,f354]) ).

fof(f682,plain,
    ( spl3_102
  <=> e0 = op(op(e1,e0),op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_102])]) ).

fof(f1455,plain,
    ( e0 != op(e1,e1)
    | ~ spl3_94
    | spl3_102 ),
    inference(forward_demodulation,[],[f683,f633]) ).

fof(f683,plain,
    ( e0 != op(op(e1,e0),op(e1,e0))
    | spl3_102 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f1441,plain,
    ( ~ spl3_14
    | ~ spl3_36 ),
    inference(avatar_contradiction_clause,[],[f1440]) ).

fof(f1440,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_36 ),
    inference(subsumption_resolution,[],[f1437,f87]) ).

fof(f1437,plain,
    ( e0 = e2
    | ~ spl3_14
    | ~ spl3_36 ),
    inference(superposition,[],[f262,f356]) ).

fof(f1425,plain,
    ( ~ spl3_52
    | ~ spl3_53 ),
    inference(avatar_contradiction_clause,[],[f1424]) ).

fof(f1424,plain,
    ( $false
    | ~ spl3_52
    | ~ spl3_53 ),
    inference(subsumption_resolution,[],[f1423,f83]) ).

fof(f1423,plain,
    ( e1 = e3
    | ~ spl3_52
    | ~ spl3_53 ),
    inference(forward_demodulation,[],[f425,f429]) ).

fof(f1419,plain,
    ( ~ spl3_41
    | ~ spl3_94 ),
    inference(avatar_contradiction_clause,[],[f1418]) ).

fof(f1418,plain,
    ( $false
    | ~ spl3_41
    | ~ spl3_94 ),
    inference(subsumption_resolution,[],[f1417,f83]) ).

fof(f1417,plain,
    ( e1 = e3
    | ~ spl3_41
    | ~ spl3_94 ),
    inference(forward_demodulation,[],[f377,f633]) ).

fof(f377,plain,
    ( e3 = op(e1,e0)
    | ~ spl3_41 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f375,plain,
    ( spl3_41
  <=> e3 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_41])]) ).

fof(f1414,plain,
    ( ~ spl3_5
    | ~ spl3_11
    | ~ spl3_86 ),
    inference(avatar_contradiction_clause,[],[f1413]) ).

fof(f1413,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_11
    | ~ spl3_86 ),
    inference(subsumption_resolution,[],[f1412,f87]) ).

fof(f1412,plain,
    ( e0 = e2
    | ~ spl3_5
    | ~ spl3_11
    | ~ spl3_86 ),
    inference(forward_demodulation,[],[f1315,f589]) ).

fof(f1315,plain,
    ( op(e0,e0) = e2
    | ~ spl3_5
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f223,f249]) ).

fof(f1411,plain,
    ( ~ spl3_32
    | ~ spl3_34 ),
    inference(avatar_contradiction_clause,[],[f1410]) ).

fof(f1410,plain,
    ( $false
    | ~ spl3_32
    | ~ spl3_34 ),
    inference(subsumption_resolution,[],[f1404,f85]) ).

fof(f1404,plain,
    ( e2 = e3
    | ~ spl3_32
    | ~ spl3_34 ),
    inference(superposition,[],[f339,f347]) ).

fof(f1388,plain,
    ( ~ spl3_30
    | ~ spl3_45
    | spl3_107 ),
    inference(avatar_contradiction_clause,[],[f1387]) ).

fof(f1387,plain,
    ( $false
    | ~ spl3_30
    | ~ spl3_45
    | spl3_107 ),
    inference(subsumption_resolution,[],[f1386,f394]) ).

fof(f394,plain,
    ( e1 = op(e3,e3)
    | ~ spl3_45 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f1386,plain,
    ( e1 != op(e3,e3)
    | ~ spl3_30
    | spl3_107 ),
    inference(forward_demodulation,[],[f713,f330]) ).

fof(f713,plain,
    ( e1 != op(op(e3,e1),op(e3,e1))
    | spl3_107 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f1385,plain,
    ( ~ spl3_14
    | ~ spl3_81
    | ~ spl3_90 ),
    inference(avatar_contradiction_clause,[],[f1384]) ).

fof(f1384,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_81
    | ~ spl3_90 ),
    inference(subsumption_resolution,[],[f1383,f85]) ).

fof(f1383,plain,
    ( e2 = e3
    | ~ spl3_14
    | ~ spl3_81
    | ~ spl3_90 ),
    inference(forward_demodulation,[],[f1382,f262]) ).

fof(f1382,plain,
    ( e3 = op(e1,e1)
    | ~ spl3_81
    | ~ spl3_90 ),
    inference(forward_demodulation,[],[f611,f563]) ).

fof(f1377,plain,
    ( ~ spl3_57
    | ~ spl3_78 ),
    inference(avatar_contradiction_clause,[],[f1376]) ).

fof(f1376,plain,
    ( $false
    | ~ spl3_57
    | ~ spl3_78 ),
    inference(subsumption_resolution,[],[f1371,f84]) ).

fof(f1371,plain,
    ( e1 = e2
    | ~ spl3_57
    | ~ spl3_78 ),
    inference(superposition,[],[f447,f549]) ).

fof(f447,plain,
    ( e1 = op(e2,e2)
    | ~ spl3_57 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f1343,plain,
    ( ~ spl3_40
    | spl3_43
    | ~ spl3_104 ),
    inference(avatar_contradiction_clause,[],[f1342]) ).

fof(f1342,plain,
    ( $false
    | ~ spl3_40
    | spl3_43
    | ~ spl3_104 ),
    inference(subsumption_resolution,[],[f1341,f385]) ).

fof(f385,plain,
    ( e2 != op(e3,e3)
    | spl3_43 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f1341,plain,
    ( e2 = op(e3,e3)
    | ~ spl3_40
    | ~ spl3_104 ),
    inference(forward_demodulation,[],[f696,f373]) ).

fof(f1338,plain,
    ( ~ spl3_14
    | ~ spl3_42 ),
    inference(avatar_contradiction_clause,[],[f1337]) ).

fof(f1337,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_42 ),
    inference(subsumption_resolution,[],[f1334,f85]) ).

fof(f1334,plain,
    ( e2 = e3
    | ~ spl3_14
    | ~ spl3_42 ),
    inference(superposition,[],[f381,f262]) ).

fof(f1328,plain,
    ( ~ spl3_31
    | ~ spl3_45
    | spl3_69 ),
    inference(avatar_split_clause,[],[f1327,f502,f392,f332]) ).

fof(f332,plain,
    ( spl3_31
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).

fof(f502,plain,
    ( spl3_69
  <=> e2 = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_69])]) ).

fof(f1327,plain,
    ( e2 != op(e3,e1)
    | ~ spl3_45
    | spl3_69 ),
    inference(forward_demodulation,[],[f504,f394]) ).

fof(f504,plain,
    ( e2 != op(e3,op(e3,e3))
    | spl3_69 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f1326,plain,
    ( ~ spl3_20
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f1325]) ).

fof(f1325,plain,
    ( $false
    | ~ spl3_20
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f1324,f84]) ).

fof(f1324,plain,
    ( e1 = e2
    | ~ spl3_20
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f287,f291]) ).

fof(f1322,plain,
    ( ~ spl3_30
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f1321]) ).

fof(f1321,plain,
    ( $false
    | ~ spl3_30
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f1320,f85]) ).

fof(f1320,plain,
    ( e2 = e3
    | ~ spl3_30
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f330,f334]) ).

fof(f334,plain,
    ( e2 = op(e3,e1)
    | ~ spl3_31 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f1319,plain,
    ( spl3_14
    | ~ spl3_70
    | ~ spl3_104 ),
    inference(avatar_split_clause,[],[f1318,f694,f507,f260]) ).

fof(f1318,plain,
    ( e2 = op(e1,e1)
    | ~ spl3_70
    | ~ spl3_104 ),
    inference(forward_demodulation,[],[f696,f509]) ).

fof(f1313,plain,
    ( ~ spl3_34
    | spl3_46
    | ~ spl3_101 ),
    inference(avatar_contradiction_clause,[],[f1312]) ).

fof(f1312,plain,
    ( $false
    | ~ spl3_34
    | spl3_46
    | ~ spl3_101 ),
    inference(subsumption_resolution,[],[f1311,f397]) ).

fof(f397,plain,
    ( e0 != op(e3,e3)
    | spl3_46 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f1311,plain,
    ( e0 = op(e3,e3)
    | ~ spl3_34
    | ~ spl3_101 ),
    inference(forward_demodulation,[],[f674,f347]) ).

fof(f1307,plain,
    ( ~ spl3_31
    | spl3_57
    | ~ spl3_107 ),
    inference(avatar_contradiction_clause,[],[f1306]) ).

fof(f1306,plain,
    ( $false
    | ~ spl3_31
    | spl3_57
    | ~ spl3_107 ),
    inference(subsumption_resolution,[],[f1305,f448]) ).

fof(f448,plain,
    ( e1 != op(e2,e2)
    | spl3_57 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f1305,plain,
    ( e1 = op(e2,e2)
    | ~ spl3_31
    | ~ spl3_107 ),
    inference(forward_demodulation,[],[f714,f334]) ).

fof(f1304,plain,
    ( ~ spl3_56
    | ~ spl3_96 ),
    inference(avatar_contradiction_clause,[],[f1303]) ).

fof(f1303,plain,
    ( $false
    | ~ spl3_56
    | ~ spl3_96 ),
    inference(subsumption_resolution,[],[f1302,f86]) ).

fof(f1302,plain,
    ( e0 = e1
    | ~ spl3_56
    | ~ spl3_96 ),
    inference(forward_demodulation,[],[f645,f443]) ).

fof(f1301,plain,
    ( ~ spl3_5
    | spl3_43
    | ~ spl3_77 ),
    inference(avatar_contradiction_clause,[],[f1300]) ).

fof(f1300,plain,
    ( $false
    | ~ spl3_5
    | spl3_43
    | ~ spl3_77 ),
    inference(subsumption_resolution,[],[f1299,f385]) ).

fof(f1299,plain,
    ( e2 = op(e3,e3)
    | ~ spl3_5
    | ~ spl3_77 ),
    inference(forward_demodulation,[],[f223,f544]) ).

fof(f1292,plain,
    ( ~ spl3_85
    | ~ spl3_99 ),
    inference(avatar_contradiction_clause,[],[f1291]) ).

fof(f1291,plain,
    ( $false
    | ~ spl3_85
    | ~ spl3_99 ),
    inference(subsumption_resolution,[],[f1290,f88]) ).

fof(f1290,plain,
    ( e0 = e3
    | ~ spl3_85
    | ~ spl3_99 ),
    inference(forward_demodulation,[],[f662,f585]) ).

fof(f1288,plain,
    ( ~ spl3_6
    | ~ spl3_7 ),
    inference(avatar_contradiction_clause,[],[f1287]) ).

fof(f1287,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_7 ),
    inference(subsumption_resolution,[],[f1286,f86]) ).

fof(f1286,plain,
    ( e0 = e1
    | ~ spl3_6
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f228,f232]) ).

fof(f228,plain,
    ( e1 = op(e0,e1)
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl3_6
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

fof(f1285,plain,
    ( ~ spl3_15
    | ~ spl3_37 ),
    inference(avatar_contradiction_clause,[],[f1284]) ).

fof(f1284,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_37 ),
    inference(subsumption_resolution,[],[f1283,f87]) ).

fof(f1283,plain,
    ( e0 = e2
    | ~ spl3_15
    | ~ spl3_37 ),
    inference(forward_demodulation,[],[f266,f360]) ).

fof(f1276,plain,
    ( ~ spl3_36
    | ~ spl3_42 ),
    inference(avatar_contradiction_clause,[],[f1275]) ).

fof(f1275,plain,
    ( $false
    | ~ spl3_36
    | ~ spl3_42 ),
    inference(subsumption_resolution,[],[f1271,f88]) ).

fof(f1271,plain,
    ( e0 = e3
    | ~ spl3_36
    | ~ spl3_42 ),
    inference(superposition,[],[f381,f356]) ).

fof(f1254,plain,
    ( spl3_22
    | ~ spl3_55
    | ~ spl3_90 ),
    inference(avatar_split_clause,[],[f1253,f609,f436,f294]) ).

fof(f1253,plain,
    ( e3 = op(e2,e2)
    | ~ spl3_55
    | ~ spl3_90 ),
    inference(forward_demodulation,[],[f611,f438]) ).

fof(f1250,plain,
    ( ~ spl3_16
    | ~ spl3_70 ),
    inference(avatar_contradiction_clause,[],[f1249]) ).

fof(f1249,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_70 ),
    inference(subsumption_resolution,[],[f1248,f84]) ).

fof(f1248,plain,
    ( e1 = e2
    | ~ spl3_16
    | ~ spl3_70 ),
    inference(forward_demodulation,[],[f270,f509]) ).

fof(f1245,plain,
    ( ~ spl3_64
    | ~ spl3_31
    | ~ spl3_45
    | spl3_68 ),
    inference(avatar_split_clause,[],[f1236,f498,f392,f332,f479]) ).

fof(f1236,plain,
    ( e0 != op(e2,e3)
    | ~ spl3_31
    | ~ spl3_45
    | spl3_68 ),
    inference(forward_demodulation,[],[f1235,f334]) ).

fof(f1235,plain,
    ( e0 != op(op(e3,e1),e3)
    | ~ spl3_45
    | spl3_68 ),
    inference(forward_demodulation,[],[f500,f394]) ).

fof(f1242,plain,
    ( ~ spl3_6
    | spl3_63
    | ~ spl3_79 ),
    inference(avatar_contradiction_clause,[],[f1241]) ).

fof(f1241,plain,
    ( $false
    | ~ spl3_6
    | spl3_63
    | ~ spl3_79 ),
    inference(subsumption_resolution,[],[f1240,f475]) ).

fof(f475,plain,
    ( e1 != op(e1,e1)
    | spl3_63 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f1240,plain,
    ( e1 = op(e1,e1)
    | ~ spl3_6
    | ~ spl3_79 ),
    inference(forward_demodulation,[],[f554,f228]) ).

fof(f1229,plain,
    ( ~ spl3_42
    | ~ spl3_82
    | spl3_106 ),
    inference(avatar_contradiction_clause,[],[f1228]) ).

fof(f1228,plain,
    ( $false
    | ~ spl3_42
    | ~ spl3_82
    | spl3_106 ),
    inference(subsumption_resolution,[],[f1227,f381]) ).

fof(f1227,plain,
    ( e3 != op(e1,e1)
    | ~ spl3_82
    | spl3_106 ),
    inference(forward_demodulation,[],[f707,f567]) ).

fof(f1216,plain,
    ( ~ spl3_55
    | ~ spl3_85 ),
    inference(avatar_contradiction_clause,[],[f1215]) ).

fof(f1215,plain,
    ( $false
    | ~ spl3_55
    | ~ spl3_85 ),
    inference(subsumption_resolution,[],[f1214,f87]) ).

fof(f1214,plain,
    ( e0 = e2
    | ~ spl3_55
    | ~ spl3_85 ),
    inference(forward_demodulation,[],[f438,f585]) ).

fof(f1211,plain,
    ( ~ spl3_28
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f1210]) ).

fof(f1210,plain,
    ( $false
    | ~ spl3_28
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f1209,f87]) ).

fof(f1209,plain,
    ( e0 = e2
    | ~ spl3_28
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f334,f322]) ).

fof(f1206,plain,
    ( spl3_22
    | ~ spl3_54
    | ~ spl3_91 ),
    inference(avatar_contradiction_clause,[],[f1205]) ).

fof(f1205,plain,
    ( $false
    | spl3_22
    | ~ spl3_54
    | ~ spl3_91 ),
    inference(subsumption_resolution,[],[f1174,f296]) ).

fof(f296,plain,
    ( e3 != op(e2,e2)
    | spl3_22 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f1174,plain,
    ( e3 = op(e2,e2)
    | ~ spl3_54
    | ~ spl3_91 ),
    inference(forward_demodulation,[],[f616,f434]) ).

fof(f434,plain,
    ( e2 = op(e2,e3)
    | ~ spl3_54 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f432,plain,
    ( spl3_54
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_54])]) ).

fof(f1202,plain,
    ( ~ spl3_54
    | ~ spl3_105 ),
    inference(avatar_contradiction_clause,[],[f1201]) ).

fof(f1201,plain,
    ( $false
    | ~ spl3_54
    | ~ spl3_105 ),
    inference(subsumption_resolution,[],[f1200,f85]) ).

fof(f1200,plain,
    ( e2 = e3
    | ~ spl3_54
    | ~ spl3_105 ),
    inference(forward_demodulation,[],[f701,f434]) ).

fof(f1197,plain,
    ( ~ spl3_49
    | ~ spl3_86 ),
    inference(avatar_contradiction_clause,[],[f1196]) ).

fof(f1196,plain,
    ( $false
    | ~ spl3_49
    | ~ spl3_86 ),
    inference(subsumption_resolution,[],[f1195,f86]) ).

fof(f1195,plain,
    ( e0 = e1
    | ~ spl3_49
    | ~ spl3_86 ),
    inference(forward_demodulation,[],[f410,f589]) ).

fof(f1191,plain,
    ( spl3_63
    | ~ spl3_3
    | ~ spl3_96 ),
    inference(avatar_split_clause,[],[f1190,f643,f212,f474]) ).

fof(f1190,plain,
    ( e1 = op(e1,e1)
    | ~ spl3_3
    | ~ spl3_96 ),
    inference(forward_demodulation,[],[f214,f645]) ).

fof(f1189,plain,
    ( ~ spl3_29
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f1188]) ).

fof(f1188,plain,
    ( $false
    | ~ spl3_29
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f1187,f84]) ).

fof(f1187,plain,
    ( e1 = e2
    | ~ spl3_29
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f334,f326]) ).

fof(f1181,plain,
    ( spl3_14
    | ~ spl3_57
    | ~ spl3_103 ),
    inference(avatar_contradiction_clause,[],[f1180]) ).

fof(f1180,plain,
    ( $false
    | spl3_14
    | ~ spl3_57
    | ~ spl3_103 ),
    inference(subsumption_resolution,[],[f1179,f261]) ).

fof(f1179,plain,
    ( e2 = op(e1,e1)
    | ~ spl3_57
    | ~ spl3_103 ),
    inference(forward_demodulation,[],[f691,f447]) ).

fof(f1173,plain,
    ( ~ spl3_3
    | spl3_45
    | ~ spl3_89 ),
    inference(avatar_contradiction_clause,[],[f1172]) ).

fof(f1172,plain,
    ( $false
    | ~ spl3_3
    | spl3_45
    | ~ spl3_89 ),
    inference(subsumption_resolution,[],[f1171,f393]) ).

fof(f1171,plain,
    ( e1 = op(e3,e3)
    | ~ spl3_3
    | ~ spl3_89 ),
    inference(forward_demodulation,[],[f214,f606]) ).

fof(f1168,plain,
    ( ~ spl3_83
    | ~ spl3_86 ),
    inference(avatar_contradiction_clause,[],[f1167]) ).

fof(f1167,plain,
    ( $false
    | ~ spl3_83
    | ~ spl3_86 ),
    inference(subsumption_resolution,[],[f1166,f87]) ).

fof(f1166,plain,
    ( e0 = e2
    | ~ spl3_83
    | ~ spl3_86 ),
    inference(forward_demodulation,[],[f574,f589]) ).

fof(f1157,plain,
    ( ~ spl3_51
    | ~ spl3_52 ),
    inference(avatar_contradiction_clause,[],[f1156]) ).

fof(f1156,plain,
    ( $false
    | ~ spl3_51
    | ~ spl3_52 ),
    inference(subsumption_resolution,[],[f1155,f85]) ).

fof(f1155,plain,
    ( e2 = e3
    | ~ spl3_51
    | ~ spl3_52 ),
    inference(forward_demodulation,[],[f425,f421]) ).

fof(f1149,plain,
    ( ~ spl3_37
    | ~ spl3_82 ),
    inference(avatar_contradiction_clause,[],[f1148]) ).

fof(f1148,plain,
    ( $false
    | ~ spl3_37
    | ~ spl3_82 ),
    inference(subsumption_resolution,[],[f1147,f86]) ).

fof(f1147,plain,
    ( e0 = e1
    | ~ spl3_37
    | ~ spl3_82 ),
    inference(forward_demodulation,[],[f567,f360]) ).

fof(f1145,plain,
    ( spl3_25
    | ~ spl3_37
    | ~ spl3_106 ),
    inference(avatar_contradiction_clause,[],[f1144]) ).

fof(f1144,plain,
    ( $false
    | spl3_25
    | ~ spl3_37
    | ~ spl3_106 ),
    inference(subsumption_resolution,[],[f1143,f309]) ).

fof(f1143,plain,
    ( op(e0,e0) = e3
    | ~ spl3_37
    | ~ spl3_106 ),
    inference(forward_demodulation,[],[f708,f360]) ).

fof(f1141,plain,
    ( ~ spl3_54
    | ~ spl3_80 ),
    inference(avatar_contradiction_clause,[],[f1140]) ).

fof(f1140,plain,
    ( $false
    | ~ spl3_54
    | ~ spl3_80 ),
    inference(subsumption_resolution,[],[f1139,f84]) ).

fof(f1139,plain,
    ( e1 = e2
    | ~ spl3_54
    | ~ spl3_80 ),
    inference(forward_demodulation,[],[f434,f559]) ).

fof(f1137,plain,
    ( ~ spl3_13
    | ~ spl3_22 ),
    inference(avatar_contradiction_clause,[],[f1136]) ).

fof(f1136,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_22 ),
    inference(subsumption_resolution,[],[f1135,f88]) ).

fof(f1135,plain,
    ( e0 = e3
    | ~ spl3_13
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f295,f257]) ).

fof(f1129,plain,
    ( ~ spl3_42
    | spl3_45
    | ~ spl3_100 ),
    inference(avatar_contradiction_clause,[],[f1128]) ).

fof(f1128,plain,
    ( $false
    | ~ spl3_42
    | spl3_45
    | ~ spl3_100 ),
    inference(subsumption_resolution,[],[f1127,f393]) ).

fof(f1127,plain,
    ( e1 = op(e3,e3)
    | ~ spl3_42
    | ~ spl3_100 ),
    inference(forward_demodulation,[],[f668,f381]) ).

fof(f1124,plain,
    ( ~ spl3_42
    | ~ spl3_80
    | spl3_91 ),
    inference(avatar_split_clause,[],[f1061,f614,f557,f379]) ).

fof(f1061,plain,
    ( e3 != op(e1,e1)
    | ~ spl3_80
    | spl3_91 ),
    inference(forward_demodulation,[],[f615,f559]) ).

fof(f615,plain,
    ( e3 != op(op(e2,e3),op(e2,e3))
    | spl3_91 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f1117,plain,
    ( ~ spl3_56
    | ~ spl3_89 ),
    inference(avatar_contradiction_clause,[],[f1116]) ).

fof(f1116,plain,
    ( $false
    | ~ spl3_56
    | ~ spl3_89 ),
    inference(subsumption_resolution,[],[f1115,f88]) ).

fof(f1115,plain,
    ( e0 = e3
    | ~ spl3_56
    | ~ spl3_89 ),
    inference(forward_demodulation,[],[f606,f443]) ).

fof(f1114,plain,
    ( spl3_36
    | ~ spl3_94
    | ~ spl3_102 ),
    inference(avatar_contradiction_clause,[],[f1113]) ).

fof(f1113,plain,
    ( $false
    | spl3_36
    | ~ spl3_94
    | ~ spl3_102 ),
    inference(subsumption_resolution,[],[f1112,f355]) ).

fof(f1112,plain,
    ( e0 = op(e1,e1)
    | ~ spl3_94
    | ~ spl3_102 ),
    inference(forward_demodulation,[],[f684,f633]) ).

fof(f684,plain,
    ( e0 = op(op(e1,e0),op(e1,e0))
    | ~ spl3_102 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f1108,plain,
    ( spl3_57
    | ~ spl3_14
    | ~ spl3_100 ),
    inference(avatar_split_clause,[],[f1038,f666,f260,f446]) ).

fof(f1038,plain,
    ( e1 = op(e2,e2)
    | ~ spl3_14
    | ~ spl3_100 ),
    inference(forward_demodulation,[],[f668,f262]) ).

fof(f1103,plain,
    ( ~ spl3_32
    | ~ spl3_33 ),
    inference(avatar_contradiction_clause,[],[f1102]) ).

fof(f1102,plain,
    ( $false
    | ~ spl3_32
    | ~ spl3_33 ),
    inference(subsumption_resolution,[],[f1101,f87]) ).

fof(f1101,plain,
    ( e0 = e2
    | ~ spl3_32
    | ~ spl3_33 ),
    inference(forward_demodulation,[],[f339,f343]) ).

fof(f343,plain,
    ( e0 = op(e2,e0)
    | ~ spl3_33 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f341,plain,
    ( spl3_33
  <=> e0 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_33])]) ).

fof(f1096,plain,
    ( ~ spl3_15
    | ~ spl3_78
    | ~ spl3_106 ),
    inference(avatar_contradiction_clause,[],[f1095]) ).

fof(f1095,plain,
    ( $false
    | ~ spl3_15
    | ~ spl3_78
    | ~ spl3_106 ),
    inference(subsumption_resolution,[],[f1094,f85]) ).

fof(f1094,plain,
    ( e2 = e3
    | ~ spl3_15
    | ~ spl3_78
    | ~ spl3_106 ),
    inference(forward_demodulation,[],[f1093,f549]) ).

fof(f1093,plain,
    ( e3 = op(e2,e2)
    | ~ spl3_15
    | ~ spl3_106 ),
    inference(forward_demodulation,[],[f708,f266]) ).

fof(f1091,plain,
    ( ~ spl3_78
    | spl3_103 ),
    inference(avatar_contradiction_clause,[],[f1090]) ).

fof(f1090,plain,
    ( $false
    | ~ spl3_78
    | spl3_103 ),
    inference(subsumption_resolution,[],[f1089,f549]) ).

fof(f1089,plain,
    ( e2 != op(e2,e2)
    | ~ spl3_78
    | spl3_103 ),
    inference(forward_demodulation,[],[f690,f549]) ).

fof(f690,plain,
    ( e2 != op(op(e2,e2),op(e2,e2))
    | spl3_103 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f1088,plain,
    ( ~ spl3_44
    | ~ spl3_46 ),
    inference(avatar_contradiction_clause,[],[f1087]) ).

fof(f1087,plain,
    ( $false
    | ~ spl3_44
    | ~ spl3_46 ),
    inference(subsumption_resolution,[],[f1086,f88]) ).

fof(f1086,plain,
    ( e0 = e3
    | ~ spl3_44
    | ~ spl3_46 ),
    inference(forward_demodulation,[],[f390,f398]) ).

fof(f1070,plain,
    ( ~ spl3_89
    | ~ spl3_96 ),
    inference(avatar_contradiction_clause,[],[f1069]) ).

fof(f1069,plain,
    ( $false
    | ~ spl3_89
    | ~ spl3_96 ),
    inference(subsumption_resolution,[],[f1068,f83]) ).

fof(f1068,plain,
    ( e1 = e3
    | ~ spl3_89
    | ~ spl3_96 ),
    inference(forward_demodulation,[],[f606,f645]) ).

fof(f1067,plain,
    ( ~ spl3_13
    | ~ spl3_57 ),
    inference(avatar_contradiction_clause,[],[f1066]) ).

fof(f1066,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_57 ),
    inference(subsumption_resolution,[],[f1065,f86]) ).

fof(f1065,plain,
    ( e0 = e1
    | ~ spl3_13
    | ~ spl3_57 ),
    inference(forward_demodulation,[],[f447,f257]) ).

fof(f1059,plain,
    ( ~ spl3_12
    | ~ spl3_40 ),
    inference(avatar_contradiction_clause,[],[f1058]) ).

fof(f1058,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_40 ),
    inference(subsumption_resolution,[],[f1057,f88]) ).

fof(f1057,plain,
    ( e0 = e3
    | ~ spl3_12
    | ~ spl3_40 ),
    inference(forward_demodulation,[],[f373,f253]) ).

fof(f1048,plain,
    ( ~ spl3_80
    | ~ spl3_105 ),
    inference(avatar_contradiction_clause,[],[f1047]) ).

fof(f1047,plain,
    ( $false
    | ~ spl3_80
    | ~ spl3_105 ),
    inference(subsumption_resolution,[],[f1046,f83]) ).

fof(f1046,plain,
    ( e1 = e3
    | ~ spl3_80
    | ~ spl3_105 ),
    inference(forward_demodulation,[],[f701,f559]) ).

fof(f1045,plain,
    ( ~ spl3_86
    | ~ spl3_33
    | spl3_101 ),
    inference(avatar_split_clause,[],[f1044,f672,f341,f587]) ).

fof(f1044,plain,
    ( e0 != op(e0,e0)
    | ~ spl3_33
    | spl3_101 ),
    inference(forward_demodulation,[],[f673,f343]) ).

fof(f673,plain,
    ( e0 != op(op(e2,e0),op(e2,e0))
    | spl3_101 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f1043,plain,
    ( ~ spl3_40
    | ~ spl3_70 ),
    inference(avatar_contradiction_clause,[],[f1042]) ).

fof(f1042,plain,
    ( $false
    | ~ spl3_40
    | ~ spl3_70 ),
    inference(subsumption_resolution,[],[f1041,f83]) ).

fof(f1041,plain,
    ( e1 = e3
    | ~ spl3_40
    | ~ spl3_70 ),
    inference(forward_demodulation,[],[f373,f509]) ).

fof(f1034,plain,
    ( ~ spl3_14
    | ~ spl3_80
    | ~ spl3_91 ),
    inference(avatar_contradiction_clause,[],[f1033]) ).

fof(f1033,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_80
    | ~ spl3_91 ),
    inference(subsumption_resolution,[],[f1032,f85]) ).

fof(f1032,plain,
    ( e2 = e3
    | ~ spl3_14
    | ~ spl3_80
    | ~ spl3_91 ),
    inference(forward_demodulation,[],[f1015,f262]) ).

fof(f1015,plain,
    ( e3 = op(e1,e1)
    | ~ spl3_80
    | ~ spl3_91 ),
    inference(forward_demodulation,[],[f616,f559]) ).

fof(f1030,plain,
    ( ~ spl3_3
    | spl3_57
    | ~ spl3_62 ),
    inference(avatar_contradiction_clause,[],[f1029]) ).

fof(f1029,plain,
    ( $false
    | ~ spl3_3
    | spl3_57
    | ~ spl3_62 ),
    inference(subsumption_resolution,[],[f1028,f448]) ).

fof(f1028,plain,
    ( e1 = op(e2,e2)
    | ~ spl3_3
    | ~ spl3_62 ),
    inference(forward_demodulation,[],[f214,f470]) ).

fof(f1018,plain,
    ( ~ spl3_36
    | ~ spl3_80
    | ~ spl3_91 ),
    inference(avatar_contradiction_clause,[],[f1017]) ).

fof(f1017,plain,
    ( $false
    | ~ spl3_36
    | ~ spl3_80
    | ~ spl3_91 ),
    inference(subsumption_resolution,[],[f1016,f88]) ).

fof(f1016,plain,
    ( e0 = e3
    | ~ spl3_36
    | ~ spl3_80
    | ~ spl3_91 ),
    inference(forward_demodulation,[],[f1015,f356]) ).

fof(f1014,plain,
    ( spl3_86
    | ~ spl3_33
    | ~ spl3_101 ),
    inference(avatar_split_clause,[],[f1013,f672,f341,f587]) ).

fof(f1013,plain,
    ( e0 = op(e0,e0)
    | ~ spl3_33
    | ~ spl3_101 ),
    inference(forward_demodulation,[],[f674,f343]) ).

fof(f1010,plain,
    ( ~ spl3_39
    | spl3_44
    | ~ spl3_106 ),
    inference(avatar_contradiction_clause,[],[f1009]) ).

fof(f1009,plain,
    ( $false
    | ~ spl3_39
    | spl3_44
    | ~ spl3_106 ),
    inference(subsumption_resolution,[],[f1008,f389]) ).

fof(f1008,plain,
    ( e3 = op(e3,e3)
    | ~ spl3_39
    | ~ spl3_106 ),
    inference(forward_demodulation,[],[f708,f369]) ).

fof(f1006,plain,
    ( spl3_13
    | ~ spl3_17
    | ~ spl3_102 ),
    inference(avatar_contradiction_clause,[],[f1005]) ).

fof(f1005,plain,
    ( $false
    | spl3_13
    | ~ spl3_17
    | ~ spl3_102 ),
    inference(subsumption_resolution,[],[f1004,f256]) ).

fof(f256,plain,
    ( e0 != op(e2,e2)
    | spl3_13 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f1004,plain,
    ( e0 = op(e2,e2)
    | ~ spl3_17
    | ~ spl3_102 ),
    inference(forward_demodulation,[],[f684,f274]) ).

fof(f998,plain,
    ( ~ spl3_29
    | spl3_63
    | ~ spl3_107 ),
    inference(avatar_contradiction_clause,[],[f997]) ).

fof(f997,plain,
    ( $false
    | ~ spl3_29
    | spl3_63
    | ~ spl3_107 ),
    inference(subsumption_resolution,[],[f996,f475]) ).

fof(f996,plain,
    ( e1 = op(e1,e1)
    | ~ spl3_29
    | ~ spl3_107 ),
    inference(forward_demodulation,[],[f714,f326]) ).

fof(f992,plain,
    ( ~ spl3_30
    | ~ spl3_46
    | ~ spl3_107 ),
    inference(avatar_contradiction_clause,[],[f991]) ).

fof(f991,plain,
    ( $false
    | ~ spl3_30
    | ~ spl3_46
    | ~ spl3_107 ),
    inference(subsumption_resolution,[],[f990,f86]) ).

fof(f990,plain,
    ( e0 = e1
    | ~ spl3_30
    | ~ spl3_46
    | ~ spl3_107 ),
    inference(forward_demodulation,[],[f989,f398]) ).

fof(f989,plain,
    ( e1 = op(e3,e3)
    | ~ spl3_30
    | ~ spl3_107 ),
    inference(forward_demodulation,[],[f714,f330]) ).

fof(f988,plain,
    ( spl3_78
    | ~ spl3_5
    | ~ spl3_67 ),
    inference(avatar_split_clause,[],[f987,f493,f221,f547]) ).

fof(f493,plain,
    ( spl3_67
  <=> e2 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_67])]) ).

fof(f987,plain,
    ( e2 = op(e2,e2)
    | ~ spl3_5
    | ~ spl3_67 ),
    inference(forward_demodulation,[],[f223,f495]) ).

fof(f495,plain,
    ( e2 = op(e3,e2)
    | ~ spl3_67 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f984,plain,
    ( spl3_46
    | ~ spl3_19
    | ~ spl3_72 ),
    inference(avatar_split_clause,[],[f983,f517,f281,f396]) ).

fof(f281,plain,
    ( spl3_19
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).

fof(f983,plain,
    ( e0 = op(e3,e3)
    | ~ spl3_19
    | ~ spl3_72 ),
    inference(forward_demodulation,[],[f519,f283]) ).

fof(f283,plain,
    ( e3 = op(e3,e0)
    | ~ spl3_19 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f982,plain,
    ( ~ spl3_11
    | ~ spl3_67 ),
    inference(avatar_contradiction_clause,[],[f981]) ).

fof(f981,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_67 ),
    inference(subsumption_resolution,[],[f978,f87]) ).

fof(f978,plain,
    ( e0 = e2
    | ~ spl3_11
    | ~ spl3_67 ),
    inference(superposition,[],[f249,f495]) ).

fof(f974,plain,
    ( ~ spl3_54
    | ~ spl3_64 ),
    inference(avatar_contradiction_clause,[],[f973]) ).

fof(f973,plain,
    ( $false
    | ~ spl3_54
    | ~ spl3_64 ),
    inference(subsumption_resolution,[],[f969,f87]) ).

fof(f969,plain,
    ( e0 = e2
    | ~ spl3_54
    | ~ spl3_64 ),
    inference(superposition,[],[f481,f434]) ).

fof(f962,plain,
    ( ~ spl3_7
    | ~ spl3_8 ),
    inference(avatar_contradiction_clause,[],[f961]) ).

fof(f961,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_8 ),
    inference(subsumption_resolution,[],[f957,f88]) ).

fof(f957,plain,
    ( e0 = e3
    | ~ spl3_7
    | ~ spl3_8 ),
    inference(superposition,[],[f236,f232]) ).

fof(f951,plain,
    ( ~ spl3_28
    | ~ spl3_30 ),
    inference(avatar_contradiction_clause,[],[f950]) ).

fof(f950,plain,
    ( $false
    | ~ spl3_28
    | ~ spl3_30 ),
    inference(subsumption_resolution,[],[f944,f88]) ).

fof(f944,plain,
    ( e0 = e3
    | ~ spl3_28
    | ~ spl3_30 ),
    inference(superposition,[],[f322,f330]) ).

fof(f938,plain,
    ( ~ spl3_36
    | ~ spl3_63 ),
    inference(avatar_contradiction_clause,[],[f937]) ).

fof(f937,plain,
    ( $false
    | ~ spl3_36
    | ~ spl3_63 ),
    inference(subsumption_resolution,[],[f934,f86]) ).

fof(f934,plain,
    ( e0 = e1
    | ~ spl3_36
    | ~ spl3_63 ),
    inference(superposition,[],[f356,f476]) ).

fof(f924,plain,
    ( ~ spl3_33
    | ~ spl3_34 ),
    inference(avatar_contradiction_clause,[],[f923]) ).

fof(f923,plain,
    ( $false
    | ~ spl3_33
    | ~ spl3_34 ),
    inference(subsumption_resolution,[],[f920,f88]) ).

fof(f920,plain,
    ( e0 = e3
    | ~ spl3_33
    | ~ spl3_34 ),
    inference(superposition,[],[f343,f347]) ).

fof(f916,plain,
    ( ~ spl3_19
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f915]) ).

fof(f915,plain,
    ( $false
    | ~ spl3_19
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f911,f83]) ).

fof(f911,plain,
    ( e1 = e3
    | ~ spl3_19
    | ~ spl3_21 ),
    inference(superposition,[],[f283,f291]) ).

fof(f906,plain,
    ( ~ spl3_8
    | spl3_45
    | ~ spl3_79 ),
    inference(avatar_contradiction_clause,[],[f905]) ).

fof(f905,plain,
    ( $false
    | ~ spl3_8
    | spl3_45
    | ~ spl3_79 ),
    inference(subsumption_resolution,[],[f848,f393]) ).

fof(f848,plain,
    ( e1 = op(e3,e3)
    | ~ spl3_8
    | ~ spl3_79 ),
    inference(forward_demodulation,[],[f554,f236]) ).

fof(f902,plain,
    ( ~ spl3_49
    | ~ spl3_83 ),
    inference(avatar_contradiction_clause,[],[f901]) ).

fof(f901,plain,
    ( $false
    | ~ spl3_49
    | ~ spl3_83 ),
    inference(subsumption_resolution,[],[f900,f84]) ).

fof(f900,plain,
    ( e1 = e2
    | ~ spl3_49
    | ~ spl3_83 ),
    inference(forward_demodulation,[],[f574,f410]) ).

fof(f897,plain,
    ( spl3_25
    | ~ spl3_85
    | ~ spl3_90 ),
    inference(avatar_contradiction_clause,[],[f896]) ).

fof(f896,plain,
    ( $false
    | spl3_25
    | ~ spl3_85
    | ~ spl3_90 ),
    inference(subsumption_resolution,[],[f895,f309]) ).

fof(f895,plain,
    ( op(e0,e0) = e3
    | ~ spl3_85
    | ~ spl3_90 ),
    inference(forward_demodulation,[],[f611,f585]) ).

fof(f894,plain,
    ( ~ spl3_67
    | ~ spl3_77 ),
    inference(avatar_contradiction_clause,[],[f893]) ).

fof(f893,plain,
    ( $false
    | ~ spl3_67
    | ~ spl3_77 ),
    inference(subsumption_resolution,[],[f892,f85]) ).

fof(f892,plain,
    ( e2 = e3
    | ~ spl3_67
    | ~ spl3_77 ),
    inference(forward_demodulation,[],[f544,f495]) ).

fof(f891,plain,
    ( ~ spl3_17
    | ~ spl3_41 ),
    inference(avatar_contradiction_clause,[],[f890]) ).

fof(f890,plain,
    ( $false
    | ~ spl3_17
    | ~ spl3_41 ),
    inference(subsumption_resolution,[],[f885,f85]) ).

fof(f885,plain,
    ( e2 = e3
    | ~ spl3_17
    | ~ spl3_41 ),
    inference(superposition,[],[f274,f377]) ).

fof(f883,plain,
    ( ~ spl3_50
    | ~ spl3_67 ),
    inference(avatar_contradiction_clause,[],[f882]) ).

fof(f882,plain,
    ( $false
    | ~ spl3_50
    | ~ spl3_67 ),
    inference(subsumption_resolution,[],[f881,f84]) ).

fof(f881,plain,
    ( e1 = e2
    | ~ spl3_50
    | ~ spl3_67 ),
    inference(forward_demodulation,[],[f495,f416]) ).

fof(f879,plain,
    ( ~ spl3_43
    | ~ spl3_45 ),
    inference(avatar_contradiction_clause,[],[f878]) ).

fof(f878,plain,
    ( $false
    | ~ spl3_43
    | ~ spl3_45 ),
    inference(subsumption_resolution,[],[f877,f84]) ).

fof(f877,plain,
    ( e1 = e2
    | ~ spl3_43
    | ~ spl3_45 ),
    inference(forward_demodulation,[],[f386,f394]) ).

fof(f876,plain,
    ( ~ spl3_64
    | ~ spl3_80 ),
    inference(avatar_contradiction_clause,[],[f875]) ).

fof(f875,plain,
    ( $false
    | ~ spl3_64
    | ~ spl3_80 ),
    inference(subsumption_resolution,[],[f874,f86]) ).

fof(f874,plain,
    ( e0 = e1
    | ~ spl3_64
    | ~ spl3_80 ),
    inference(forward_demodulation,[],[f559,f481]) ).

fof(f873,plain,
    ( ~ spl3_22
    | ~ spl3_57 ),
    inference(avatar_contradiction_clause,[],[f872]) ).

fof(f872,plain,
    ( $false
    | ~ spl3_22
    | ~ spl3_57 ),
    inference(subsumption_resolution,[],[f868,f83]) ).

fof(f868,plain,
    ( e1 = e3
    | ~ spl3_22
    | ~ spl3_57 ),
    inference(superposition,[],[f295,f447]) ).

fof(f865,plain,
    ( ~ spl3_11
    | ~ spl3_50 ),
    inference(avatar_contradiction_clause,[],[f864]) ).

fof(f864,plain,
    ( $false
    | ~ spl3_11
    | ~ spl3_50 ),
    inference(subsumption_resolution,[],[f860,f86]) ).

fof(f860,plain,
    ( e0 = e1
    | ~ spl3_11
    | ~ spl3_50 ),
    inference(superposition,[],[f416,f249]) ).

fof(f852,plain,
    ( ~ spl3_56
    | ~ spl3_62 ),
    inference(avatar_contradiction_clause,[],[f851]) ).

fof(f851,plain,
    ( $false
    | ~ spl3_56
    | ~ spl3_62 ),
    inference(subsumption_resolution,[],[f850,f87]) ).

fof(f850,plain,
    ( e0 = e2
    | ~ spl3_56
    | ~ spl3_62 ),
    inference(forward_demodulation,[],[f470,f443]) ).

fof(f847,plain,
    ( ~ spl3_38
    | ~ spl3_41 ),
    inference(avatar_contradiction_clause,[],[f846]) ).

fof(f846,plain,
    ( $false
    | ~ spl3_38
    | ~ spl3_41 ),
    inference(subsumption_resolution,[],[f845,f88]) ).

fof(f845,plain,
    ( e0 = e3
    | ~ spl3_38
    | ~ spl3_41 ),
    inference(forward_demodulation,[],[f377,f364]) ).

fof(f841,plain,
    ( ~ spl3_10
    | ~ spl3_53 ),
    inference(avatar_contradiction_clause,[],[f840]) ).

fof(f840,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_53 ),
    inference(subsumption_resolution,[],[f839,f86]) ).

fof(f839,plain,
    ( e0 = e1
    | ~ spl3_10
    | ~ spl3_53 ),
    inference(forward_demodulation,[],[f429,f245]) ).

fof(f838,plain,
    ( ~ spl3_34
    | ~ spl3_35 ),
    inference(avatar_contradiction_clause,[],[f837]) ).

fof(f837,plain,
    ( $false
    | ~ spl3_34
    | ~ spl3_35 ),
    inference(subsumption_resolution,[],[f836,f83]) ).

fof(f836,plain,
    ( e1 = e3
    | ~ spl3_34
    | ~ spl3_35 ),
    inference(forward_demodulation,[],[f347,f351]) ).

fof(f835,plain,
    ( ~ spl3_10
    | ~ spl3_52 ),
    inference(avatar_contradiction_clause,[],[f834]) ).

fof(f834,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_52 ),
    inference(subsumption_resolution,[],[f833,f88]) ).

fof(f833,plain,
    ( e0 = e3
    | ~ spl3_10
    | ~ spl3_52 ),
    inference(forward_demodulation,[],[f425,f245]) ).

fof(f825,plain,
    ( ~ spl3_25
    | ~ spl3_49 ),
    inference(avatar_contradiction_clause,[],[f824]) ).

fof(f824,plain,
    ( $false
    | ~ spl3_25
    | ~ spl3_49 ),
    inference(subsumption_resolution,[],[f820,f83]) ).

fof(f820,plain,
    ( e1 = e3
    | ~ spl3_25
    | ~ spl3_49 ),
    inference(superposition,[],[f410,f308]) ).

fof(f818,plain,
    ( ~ spl3_45
    | ~ spl3_46 ),
    inference(avatar_contradiction_clause,[],[f817]) ).

fof(f817,plain,
    ( $false
    | ~ spl3_45
    | ~ spl3_46 ),
    inference(subsumption_resolution,[],[f814,f86]) ).

fof(f814,plain,
    ( e0 = e1
    | ~ spl3_45
    | ~ spl3_46 ),
    inference(superposition,[],[f394,f398]) ).

fof(f810,plain,
    ( ~ spl3_17
    | ~ spl3_38 ),
    inference(avatar_contradiction_clause,[],[f809]) ).

fof(f809,plain,
    ( $false
    | ~ spl3_17
    | ~ spl3_38 ),
    inference(subsumption_resolution,[],[f806,f87]) ).

fof(f806,plain,
    ( e0 = e2
    | ~ spl3_17
    | ~ spl3_38 ),
    inference(superposition,[],[f274,f364]) ).

fof(f803,plain,
    ( ~ spl3_33
    | ~ spl3_35 ),
    inference(avatar_contradiction_clause,[],[f802]) ).

fof(f802,plain,
    ( $false
    | ~ spl3_33
    | ~ spl3_35 ),
    inference(subsumption_resolution,[],[f799,f86]) ).

fof(f799,plain,
    ( e0 = e1
    | ~ spl3_33
    | ~ spl3_35 ),
    inference(superposition,[],[f343,f351]) ).

fof(f786,plain,
    ( ~ spl3_12
    | ~ spl3_16 ),
    inference(avatar_contradiction_clause,[],[f785]) ).

fof(f785,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_16 ),
    inference(subsumption_resolution,[],[f781,f87]) ).

fof(f781,plain,
    ( e0 = e2
    | ~ spl3_12
    | ~ spl3_16 ),
    inference(superposition,[],[f270,f253]) ).

fof(f775,plain,
    ( ~ spl3_25
    | spl3_48
    | ~ spl3_55 ),
    inference(avatar_contradiction_clause,[],[f774]) ).

fof(f774,plain,
    ( $false
    | ~ spl3_25
    | spl3_48
    | ~ spl3_55 ),
    inference(subsumption_resolution,[],[f773,f438]) ).

fof(f773,plain,
    ( e2 != op(e0,e3)
    | ~ spl3_25
    | spl3_48 ),
    inference(forward_demodulation,[],[f407,f308]) ).

fof(f407,plain,
    ( e2 != op(e0,op(e0,e0))
    | spl3_48 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f405,plain,
    ( spl3_48
  <=> e2 = op(e0,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_48])]) ).

fof(f766,plain,
    ( ~ spl3_6
    | ~ spl3_9 ),
    inference(avatar_contradiction_clause,[],[f765]) ).

fof(f765,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_9 ),
    inference(subsumption_resolution,[],[f764,f84]) ).

fof(f764,plain,
    ( e1 = e2
    | ~ spl3_6
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f240,f228]) ).

fof(f758,plain,
    ( ~ spl3_19
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f757]) ).

fof(f757,plain,
    ( $false
    | ~ spl3_19
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f756,f85]) ).

fof(f756,plain,
    ( e2 = e3
    | ~ spl3_19
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f283,f287]) ).

fof(f754,plain,
    ( ~ spl3_16
    | ~ spl3_40 ),
    inference(avatar_contradiction_clause,[],[f753]) ).

fof(f753,plain,
    ( $false
    | ~ spl3_16
    | ~ spl3_40 ),
    inference(subsumption_resolution,[],[f752,f85]) ).

fof(f752,plain,
    ( e2 = e3
    | ~ spl3_16
    | ~ spl3_40 ),
    inference(forward_demodulation,[],[f373,f270]) ).

fof(f751,plain,
    ( ~ spl3_14
    | ~ spl3_63 ),
    inference(avatar_contradiction_clause,[],[f750]) ).

fof(f750,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_63 ),
    inference(subsumption_resolution,[],[f749,f84]) ).

fof(f749,plain,
    ( e1 = e2
    | ~ spl3_14
    | ~ spl3_63 ),
    inference(forward_demodulation,[],[f262,f476]) ).

fof(f747,plain,
    ( ~ spl3_44
    | ~ spl3_45 ),
    inference(avatar_contradiction_clause,[],[f746]) ).

fof(f746,plain,
    ( $false
    | ~ spl3_44
    | ~ spl3_45 ),
    inference(subsumption_resolution,[],[f745,f83]) ).

fof(f745,plain,
    ( e1 = e3
    | ~ spl3_44
    | ~ spl3_45 ),
    inference(forward_demodulation,[],[f390,f394]) ).

fof(f744,plain,
    ( ~ spl3_6
    | ~ spl3_8 ),
    inference(avatar_contradiction_clause,[],[f743]) ).

fof(f743,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_8 ),
    inference(subsumption_resolution,[],[f742,f83]) ).

fof(f742,plain,
    ( e1 = e3
    | ~ spl3_6
    | ~ spl3_8 ),
    inference(forward_demodulation,[],[f236,f228]) ).

fof(f738,plain,
    ( ~ spl3_18
    | ~ spl3_19 ),
    inference(avatar_contradiction_clause,[],[f737]) ).

fof(f737,plain,
    ( $false
    | ~ spl3_18
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f736,f88]) ).

fof(f736,plain,
    ( e0 = e3
    | ~ spl3_18
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f283,f279]) ).

fof(f735,plain,
    ( ~ spl3_37
    | ~ spl3_39 ),
    inference(avatar_contradiction_clause,[],[f734]) ).

fof(f734,plain,
    ( $false
    | ~ spl3_37
    | ~ spl3_39 ),
    inference(subsumption_resolution,[],[f733,f88]) ).

fof(f733,plain,
    ( e0 = e3
    | ~ spl3_37
    | ~ spl3_39 ),
    inference(forward_demodulation,[],[f369,f360]) ).

fof(f732,plain,
    ( ~ spl3_18
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f731]) ).

fof(f731,plain,
    ( $false
    | ~ spl3_18
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f730,f87]) ).

fof(f730,plain,
    ( e0 = e2
    | ~ spl3_18
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f287,f279]) ).

fof(f725,plain,
    ( ~ spl3_8
    | ~ spl3_9 ),
    inference(avatar_contradiction_clause,[],[f724]) ).

fof(f724,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_9 ),
    inference(subsumption_resolution,[],[f723,f85]) ).

fof(f723,plain,
    ( e2 = e3
    | ~ spl3_8
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f236,f240]) ).

fof(f718,plain,
    ( spl3_77
    | spl3_40
    | spl3_22
    | spl3_52 ),
    inference(avatar_split_clause,[],[f191,f423,f294,f371,f542]) ).

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

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

fof(f717,plain,
    ( spl3_89
    | spl3_34
    | spl3_22
    | spl3_105 ),
    inference(avatar_split_clause,[],[f193,f699,f294,f345,f604]) ).

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

fof(f715,plain,
    ( ~ spl3_2
    | spl3_107 ),
    inference(avatar_split_clause,[],[f161,f712,f208]) ).

fof(f208,plain,
    ( spl3_2
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f161,plain,
    ( e1 = op(op(e3,e1),op(e3,e1))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f60]) ).

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

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

fof(f710,plain,
    ( spl3_63
    | spl3_29
    | spl3_6
    | spl3_96 ),
    inference(avatar_split_clause,[],[f192,f643,f226,f324,f474]) ).

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

fof(f709,plain,
    ( ~ spl3_1
    | spl3_106 ),
    inference(avatar_split_clause,[],[f152,f706,f204]) ).

fof(f204,plain,
    ( spl3_1
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f152,plain,
    ( e3 = op(op(e1,e3),op(e1,e3))
    | ~ sP2 ),
    inference(cnf_transformation,[],[f58]) ).

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

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

fof(f704,plain,
    ( spl3_44
    | spl3_105
    | spl3_99
    | spl3_39 ),
    inference(avatar_split_clause,[],[f189,f367,f660,f699,f388]) ).

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

fof(f703,plain,
    ( spl3_89
    | spl3_62
    | spl3_96
    | spl3_56 ),
    inference(avatar_split_clause,[],[f77,f441,f643,f468,f604]) ).

fof(f77,plain,
    ( e0 = op(e2,e1)
    | e1 = op(e2,e1)
    | e2 = op(e2,e1)
    | e3 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f702,plain,
    ( spl3_54
    | spl3_105
    | spl3_64
    | spl3_80 ),
    inference(avatar_split_clause,[],[f71,f557,f479,f699,f432]) ).

fof(f71,plain,
    ( e1 = op(e2,e3)
    | e0 = op(e2,e3)
    | e3 = op(e2,e3)
    | e2 = op(e2,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f697,plain,
    ( ~ spl3_1
    | spl3_104 ),
    inference(avatar_split_clause,[],[f154,f694,f204]) ).

fof(f154,plain,
    ( e2 = op(op(e1,e2),op(e1,e2))
    | ~ sP2 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f692,plain,
    ( spl3_2
    | spl3_4
    | spl3_1
    | spl3_103 ),
    inference(avatar_split_clause,[],[f167,f689,f204,f216,f208]) ).

fof(f216,plain,
    ( spl3_4
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f167,plain,
    ( e2 = op(op(e2,e2),op(e2,e2))
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f57]) ).

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

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

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

fof(f686,plain,
    ( spl3_25
    | spl3_41
    | spl3_19
    | spl3_34 ),
    inference(avatar_split_clause,[],[f178,f345,f281,f375,f307]) ).

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

fof(f685,plain,
    ( spl3_102
    | ~ spl3_1 ),
    inference(avatar_split_clause,[],[f155,f204,f682]) ).

fof(f155,plain,
    ( ~ sP2
    | e0 = op(op(e1,e0),op(e1,e0)) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f680,plain,
    ( ~ spl3_83
    | ~ spl3_97
    | ~ spl3_71 ),
    inference(avatar_split_clause,[],[f63,f512,f648,f572]) ).

fof(f63,plain,
    ( e1 != op(op(e0,op(e0,e0)),e0)
    | e3 != op(e0,op(e0,e0))
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( op(e0,e0) != e2
    | e3 != op(e0,op(e0,e0))
    | e1 != op(op(e0,op(e0,e0)),e0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ~ ( e1 = op(op(e0,op(e0,e0)),e0)
      & op(e0,e0) = e2
      & e3 = op(e0,op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).

fof(f679,plain,
    ( spl3_85
    | spl3_55
    | spl3_81
    | spl3_99 ),
    inference(avatar_split_clause,[],[f81,f660,f561,f436,f583]) ).

fof(f81,plain,
    ( e3 = op(e0,e3)
    | e1 = op(e0,e3)
    | e2 = op(e0,e3)
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f676,plain,
    ( spl3_81
    | spl3_6
    | spl3_49
    | spl3_53 ),
    inference(avatar_split_clause,[],[f175,f427,f409,f226,f561]) ).

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

fof(f675,plain,
    ( spl3_4
    | spl3_101
    | spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f165,f208,f204,f672,f216]) ).

fof(f165,plain,
    ( sP0
    | sP2
    | e0 = op(op(e2,e0),op(e2,e0))
    | sP1 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f670,plain,
    ( spl3_94
    | spl3_35
    | spl3_49
    | spl3_21 ),
    inference(avatar_split_clause,[],[f183,f289,f409,f349,f631]) ).

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

fof(f669,plain,
    ( spl3_100
    | ~ spl3_1 ),
    inference(avatar_split_clause,[],[f153,f204,f666]) ).

fof(f153,plain,
    ( ~ sP2
    | e1 = op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f664,plain,
    ( spl3_46
    | spl3_64
    | spl3_85
    | spl3_37 ),
    inference(avatar_split_clause,[],[f182,f358,f583,f479,f396]) ).

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

fof(f663,plain,
    ( spl3_8
    | spl3_99
    | spl3_52
    | spl3_25 ),
    inference(avatar_split_clause,[],[f197,f307,f423,f660,f234]) ).

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

fof(f653,plain,
    ( spl3_51
    | spl3_9
    | spl3_83
    | spl3_55 ),
    inference(avatar_split_clause,[],[f200,f436,f572,f238,f419]) ).

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

fof(f652,plain,
    ( spl3_18
    | spl3_33
    | spl3_38
    | spl3_86 ),
    inference(avatar_split_clause,[],[f195,f587,f362,f341,f277]) ).

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

fof(f651,plain,
    ( ~ spl3_26
    | ~ spl3_97
    | ~ spl3_49 ),
    inference(avatar_split_clause,[],[f202,f409,f648,f311]) ).

fof(f202,plain,
    ( op(e0,e0) != e1
    | e3 != op(e0,op(e0,e0))
    | e2 != op(op(e0,op(e0,e0)),e0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ( e2 != op(op(e0,op(e0,e0)),e0)
    | e3 != op(e0,op(e0,e0))
    | op(e0,e0) != e1 ),
    inference(ennf_transformation,[],[f27]) ).

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

fof(f646,plain,
    ( spl3_80
    | spl3_57
    | spl3_96
    | spl3_35 ),
    inference(avatar_split_clause,[],[f196,f349,f643,f446,f557]) ).

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

fof(f634,plain,
    ( spl3_63
    | spl3_94
    | spl3_82
    | spl3_70 ),
    inference(avatar_split_clause,[],[f185,f507,f565,f631,f474]) ).

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

fof(f629,plain,
    ( ~ spl3_43
    | ~ spl3_68
    | ~ spl3_93 ),
    inference(avatar_split_clause,[],[f89,f626,f498,f384]) ).

fof(f89,plain,
    ( e1 != op(e3,op(e3,e3))
    | e0 != op(op(e3,op(e3,e3)),e3)
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( e1 != op(e3,op(e3,e3))
    | e0 != op(op(e3,op(e3,e3)),e3)
    | e2 != op(e3,e3) ),
    inference(ennf_transformation,[],[f14]) ).

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

fof(f618,plain,
    ( spl3_67
    | spl3_78
    | spl3_16
    | spl3_51 ),
    inference(avatar_split_clause,[],[f194,f419,f268,f547,f493]) ).

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

fof(f617,plain,
    ( spl3_4
    | spl3_1
    | spl3_91
    | spl3_2 ),
    inference(avatar_split_clause,[],[f166,f208,f614,f204,f216]) ).

fof(f166,plain,
    ( sP0
    | e3 = op(op(e2,e3),op(e2,e3))
    | sP2
    | sP1 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f612,plain,
    ( ~ spl3_4
    | spl3_90 ),
    inference(avatar_split_clause,[],[f157,f609,f216]) ).

fof(f157,plain,
    ( e3 = op(op(e0,e3),op(e0,e3))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f59]) ).

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

fof(f607,plain,
    ( spl3_42
    | spl3_89
    | spl3_30
    | spl3_8 ),
    inference(avatar_split_clause,[],[f198,f234,f328,f604,f379]) ).

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

fof(f602,plain,
    ( spl3_88
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f158,f216,f599]) ).

fof(f158,plain,
    ( ~ sP1
    | e2 = op(op(e0,e2),op(e0,e2)) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f592,plain,
    ( spl3_30
    | spl3_77
    | spl3_44
    | spl3_19 ),
    inference(avatar_split_clause,[],[f173,f281,f388,f542,f328]) ).

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

fof(f591,plain,
    ( spl3_39
    | spl3_15
    | spl3_37
    | spl3_82 ),
    inference(avatar_split_clause,[],[f74,f565,f358,f264,f367]) ).

fof(f74,plain,
    ( e1 = op(e1,e3)
    | e0 = op(e1,e3)
    | e2 = op(e1,e3)
    | e3 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f590,plain,
    ( spl3_10
    | spl3_85
    | spl3_86
    | spl3_7 ),
    inference(avatar_split_clause,[],[f171,f230,f587,f583,f243]) ).

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

fof(f575,plain,
    ( spl3_17
    | spl3_32
    | spl3_83
    | spl3_20 ),
    inference(avatar_split_clause,[],[f181,f285,f572,f337,f272]) ).

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

fof(f568,plain,
    ( spl3_45
    | spl3_80
    | spl3_81
    | spl3_82 ),
    inference(avatar_split_clause,[],[f184,f565,f561,f557,f392]) ).

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

fof(f555,plain,
    ( spl3_79
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f159,f216,f552]) ).

fof(f159,plain,
    ( ~ sP1
    | e1 = op(op(e0,e1),op(e0,e1)) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f550,plain,
    ( spl3_78
    | spl3_54
    | spl3_62
    | spl3_32 ),
    inference(avatar_split_clause,[],[f199,f337,f468,f432,f547]) ).

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

fof(f545,plain,
    ( spl3_77
    | spl3_11
    | spl3_67
    | spl3_50 ),
    inference(avatar_split_clause,[],[f66,f414,f493,f247,f542]) ).

fof(f66,plain,
    ( e1 = op(e3,e2)
    | e2 = op(e3,e2)
    | e0 = op(e3,e2)
    | e3 = op(e3,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f531,plain,
    ( ~ spl3_58
    | ~ spl3_74
    | ~ spl3_22 ),
    inference(avatar_split_clause,[],[f62,f294,f528,f450]) ).

fof(f62,plain,
    ( e3 != op(e2,e2)
    | e1 != op(e2,op(e2,e2))
    | e0 != op(op(e2,op(e2,e2)),e2) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ( e0 != op(op(e2,op(e2,e2)),e2)
    | e3 != op(e2,e2)
    | e1 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ~ ( e3 = op(e2,e2)
      & e1 = op(e2,op(e2,e2))
      & e0 = op(op(e2,op(e2,e2)),e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

fof(f525,plain,
    ( ~ spl3_2
    | spl3_73 ),
    inference(avatar_split_clause,[],[f163,f522,f208]) ).

fof(f163,plain,
    ( e3 = op(op(e3,e3),op(e3,e3))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f520,plain,
    ( spl3_72
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f162,f208,f517]) ).

fof(f162,plain,
    ( ~ sP0
    | e0 = op(op(e3,e0),op(e3,e0)) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f515,plain,
    ( ~ spl3_48
    | ~ spl3_25
    | ~ spl3_71 ),
    inference(avatar_split_clause,[],[f168,f512,f307,f405]) ).

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

fof(f34,plain,
    ( e1 != op(op(e0,op(e0,e0)),e0)
    | op(e0,e0) != e3
    | e2 != op(e0,op(e0,e0)) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ~ ( e1 = op(op(e0,op(e0,e0)),e0)
      & e2 = op(e0,op(e0,e0))
      & op(e0,e0) = e3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).

fof(f510,plain,
    ( spl3_50
    | spl3_53
    | spl3_70
    | spl3_57 ),
    inference(avatar_split_clause,[],[f176,f446,f507,f427,f414]) ).

fof(f176,plain,
    ( e1 = op(e2,e2)
    | e1 = op(e1,e2)
    | e1 = op(e0,e2)
    | e1 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f505,plain,
    ( ~ spl3_45
    | ~ spl3_68
    | ~ spl3_69 ),
    inference(avatar_split_clause,[],[f64,f502,f498,f392]) ).

fof(f64,plain,
    ( e2 != op(e3,op(e3,e3))
    | e0 != op(op(e3,op(e3,e3)),e3)
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ( e1 != op(e3,e3)
    | e0 != op(op(e3,op(e3,e3)),e3)
    | e2 != op(e3,op(e3,e3)) ),
    inference(ennf_transformation,[],[f20]) ).

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

fof(f496,plain,
    ( spl3_43
    | spl3_67
    | spl3_31
    | spl3_20 ),
    inference(avatar_split_clause,[],[f180,f285,f332,f493,f384]) ).

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

fof(f491,plain,
    ( ~ spl3_42
    | ~ spl3_65
    | ~ spl3_66 ),
    inference(avatar_split_clause,[],[f100,f488,f484,f379]) ).

fof(f100,plain,
    ( e2 != op(op(e1,op(e1,e1)),e1)
    | e0 != op(e1,op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( e0 != op(e1,op(e1,e1))
    | e3 != op(e1,e1)
    | e2 != op(op(e1,op(e1,e1)),e1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ~ ( e2 = op(op(e1,op(e1,e1)),e1)
      & e0 = op(e1,op(e1,e1))
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).

fof(f482,plain,
    ( spl3_64
    | spl3_33
    | spl3_56
    | spl3_13 ),
    inference(avatar_split_clause,[],[f172,f255,f441,f341,f479]) ).

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

fof(f477,plain,
    ( spl3_14
    | spl3_36
    | spl3_63
    | spl3_42 ),
    inference(avatar_split_clause,[],[f73,f379,f474,f354,f260]) ).

fof(f73,plain,
    ( e3 = op(e1,e1)
    | e1 = op(e1,e1)
    | e0 = op(e1,e1)
    | e2 = op(e1,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f472,plain,
    ( spl3_18
    | spl3_46
    | spl3_28
    | spl3_11 ),
    inference(avatar_split_clause,[],[f190,f247,f320,f396,f277]) ).

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

fof(f471,plain,
    ( spl3_9
    | spl3_62
    | spl3_14
    | spl3_31 ),
    inference(avatar_split_clause,[],[f187,f332,f260,f468,f238]) ).

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

fof(f466,plain,
    ( ~ spl3_60
    | ~ spl3_42
    | ~ spl3_61 ),
    inference(avatar_split_clause,[],[f169,f463,f379,f459]) ).

fof(f169,plain,
    ( e2 != op(e1,op(e1,e1))
    | e3 != op(e1,e1)
    | e0 != op(op(e1,op(e1,e1)),e1) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ( e2 != op(e1,op(e1,e1))
    | e3 != op(e1,e1)
    | e0 != op(op(e1,op(e1,e1)),e1) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ~ ( e3 = op(e1,e1)
      & e2 = op(e1,op(e1,e1))
      & e0 = op(op(e1,op(e1,e1)),e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).

fof(f444,plain,
    ( spl3_28
    | spl3_56
    | spl3_7
    | spl3_36 ),
    inference(avatar_split_clause,[],[f170,f354,f230,f441,f320]) ).

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

fof(f439,plain,
    ( spl3_54
    | spl3_55
    | spl3_15
    | spl3_43 ),
    inference(avatar_split_clause,[],[f201,f384,f264,f436,f432]) ).

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

fof(f417,plain,
    ( spl3_21
    | spl3_45
    | spl3_29
    | spl3_50 ),
    inference(avatar_split_clause,[],[f179,f414,f324,f392,f289]) ).

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

fof(f382,plain,
    ( spl3_39
    | spl3_40
    | spl3_41
    | spl3_42 ),
    inference(avatar_split_clause,[],[f177,f379,f375,f371,f367]) ).

fof(f177,plain,
    ( e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | e3 = op(e1,e2)
    | e3 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f365,plain,
    ( spl3_12
    | spl3_36
    | spl3_37
    | spl3_38 ),
    inference(avatar_split_clause,[],[f186,f362,f358,f354,f251]) ).

fof(f186,plain,
    ( e0 = op(e1,e0)
    | e0 = op(e1,e3)
    | e0 = op(e1,e1)
    | e0 = op(e1,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f305,plain,
    ( ~ spl3_22
    | ~ spl3_23
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f82,f302,f298,f294]) ).

fof(f82,plain,
    ( e1 != op(op(e2,op(e2,e2)),e2)
    | e0 != op(e2,op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ( e1 != op(op(e2,op(e2,e2)),e2)
    | e3 != op(e2,e2)
    | e0 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ~ ( e3 = op(e2,e2)
      & e1 = op(op(e2,op(e2,e2)),e2)
      & e0 = op(e2,op(e2,e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

fof(f292,plain,
    ( spl3_18
    | spl3_19
    | spl3_20
    | spl3_21 ),
    inference(avatar_split_clause,[],[f80,f289,f285,f281,f277]) ).

fof(f80,plain,
    ( e1 = op(e3,e0)
    | e2 = op(e3,e0)
    | e3 = op(e3,e0)
    | e0 = op(e3,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f275,plain,
    ( spl3_14
    | spl3_15
    | spl3_16
    | spl3_17 ),
    inference(avatar_split_clause,[],[f174,f272,f268,f264,f260]) ).

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

fof(f258,plain,
    ( spl3_10
    | spl3_11
    | spl3_12
    | spl3_13 ),
    inference(avatar_split_clause,[],[f188,f255,f251,f247,f243]) ).

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

fof(f241,plain,
    ( spl3_6
    | spl3_7
    | spl3_8
    | spl3_9 ),
    inference(avatar_split_clause,[],[f78,f238,f234,f230,f226]) ).

fof(f78,plain,
    ( e2 = op(e0,e1)
    | e3 = op(e0,e1)
    | e0 = op(e0,e1)
    | e1 = op(e0,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f224,plain,
    ( ~ spl3_2
    | spl3_5 ),
    inference(avatar_split_clause,[],[f160,f221,f208]) ).

fof(f160,plain,
    ( e2 = op(op(e3,e2),op(e3,e2))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f219,plain,
    ( spl3_1
    | spl3_2
    | spl3_3
    | spl3_4 ),
    inference(avatar_split_clause,[],[f164,f216,f212,f208,f204]) ).

fof(f164,plain,
    ( sP1
    | e1 = op(op(e2,e1),op(e2,e1))
    | sP0
    | sP2 ),
    inference(cnf_transformation,[],[f57]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : ALG141+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.33  % Computer : n010.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 14:48:59 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.19/0.52  % (974)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52  % (972)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52  % (965)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)
% 0.19/0.53  % (980)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)
% 0.19/0.53  % (955)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (953)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)
% 0.19/0.54  % (952)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)
% 0.19/0.54  % (968)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)
% 0.19/0.55  % (985)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.55  % (954)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)
% 0.19/0.55  % (970)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)
% 0.19/0.55  % (951)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  % (976)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55  TRYING [4]
% 0.19/0.56  % (987)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)
% 0.19/0.56  % (977)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.56  % (967)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.56  % (982)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)
% 0.19/0.56  % (984)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.56  % (969)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.56  % (967)Instruction limit reached!
% 0.19/0.56  % (967)------------------------------
% 0.19/0.56  % (967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (978)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56  % (967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (967)Termination reason: Unknown
% 0.19/0.56  % (967)Termination phase: shuffling
% 0.19/0.56  
% 0.19/0.56  % (967)Memory used [KB]: 895
% 0.19/0.56  % (967)Time elapsed: 0.003 s
% 0.19/0.56  % (967)Instructions burned: 2 (million)
% 0.19/0.56  % (967)------------------------------
% 0.19/0.56  % (967)------------------------------
% 0.19/0.57  % (979)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.57  % (988)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.57  % (986)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.57  % (973)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.57  % (956)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)
% 1.75/0.58  % (983)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)
% 1.75/0.58  % (989)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)
% 1.75/0.58  % (953)Instruction limit reached!
% 1.75/0.58  % (953)------------------------------
% 1.75/0.58  % (953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.58  % (953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.58  % (953)Termination reason: Unknown
% 1.75/0.58  % (953)Termination phase: Saturation
% 1.75/0.58  
% 1.75/0.58  % (953)Memory used [KB]: 1151
% 1.75/0.58  % (953)Time elapsed: 0.183 s
% 1.75/0.58  % (953)Instructions burned: 38 (million)
% 1.75/0.58  % (953)------------------------------
% 1.75/0.58  % (953)------------------------------
% 1.75/0.59  % (966)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.75/0.59  % (975)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)
% 1.75/0.59  TRYING [4]
% 1.75/0.59  % (981)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.91/0.60  % (965)Instruction limit reached!
% 1.91/0.60  % (965)------------------------------
% 1.91/0.60  % (965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.60  TRYING [4]
% 1.91/0.60  % (965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.60  % (965)Termination reason: Unknown
% 1.91/0.60  % (965)Termination phase: Finite model building SAT solving
% 1.91/0.60  
% 1.91/0.60  % (965)Memory used [KB]: 7675
% 1.91/0.60  % (965)Time elapsed: 0.077 s
% 1.91/0.60  % (965)Instructions burned: 51 (million)
% 1.91/0.60  % (965)------------------------------
% 1.91/0.60  % (965)------------------------------
% 1.91/0.60  % (966)Instruction limit reached!
% 1.91/0.60  % (966)------------------------------
% 1.91/0.60  % (966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.60  % (966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.60  % (966)Termination reason: Unknown
% 1.91/0.60  % (966)Termination phase: Saturation
% 1.91/0.60  
% 1.91/0.60  % (966)Memory used [KB]: 5756
% 1.91/0.60  % (966)Time elapsed: 0.008 s
% 1.91/0.60  % (966)Instructions burned: 8 (million)
% 1.91/0.60  % (966)------------------------------
% 1.91/0.60  % (966)------------------------------
% 1.91/0.62  % (974)Instruction limit reached!
% 1.91/0.62  % (974)------------------------------
% 1.91/0.62  % (974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.62  % (974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62  % (974)Termination reason: Unknown
% 1.91/0.62  % (974)Termination phase: Saturation
% 1.91/0.62  
% 1.91/0.62  % (974)Memory used [KB]: 6396
% 1.91/0.62  % (974)Time elapsed: 0.073 s
% 1.91/0.62  % (974)Instructions burned: 68 (million)
% 1.91/0.62  % (974)------------------------------
% 1.91/0.62  % (974)------------------------------
% 1.91/0.62  % (952)Instruction limit reached!
% 1.91/0.62  % (952)------------------------------
% 1.91/0.62  % (952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.62  % (952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62  % (952)Termination reason: Unknown
% 1.91/0.62  % (952)Termination phase: Saturation
% 1.91/0.62  
% 1.91/0.62  % (952)Memory used [KB]: 6268
% 1.91/0.62  % (952)Time elapsed: 0.032 s
% 1.91/0.62  % (952)Instructions burned: 50 (million)
% 1.91/0.62  % (952)------------------------------
% 1.91/0.62  % (952)------------------------------
% 1.91/0.63  % (968)Instruction limit reached!
% 1.91/0.63  % (968)------------------------------
% 1.91/0.63  % (968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.63  % (968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.63  % (968)Termination reason: Unknown
% 1.91/0.63  % (968)Termination phase: Saturation
% 1.91/0.63  
% 1.91/0.63  % (968)Memory used [KB]: 1407
% 1.91/0.63  % (968)Time elapsed: 0.222 s
% 1.91/0.63  % (968)Instructions burned: 52 (million)
% 1.91/0.63  % (968)------------------------------
% 1.91/0.63  % (968)------------------------------
% 1.91/0.63  % (955)Instruction limit reached!
% 1.91/0.63  % (955)------------------------------
% 1.91/0.63  % (955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.64  % (977)Instruction limit reached!
% 2.25/0.64  % (977)------------------------------
% 2.25/0.64  % (977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.64  % (977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.64  % (977)Termination reason: Unknown
% 2.25/0.64  % (977)Termination phase: Finite model building SAT solving
% 2.25/0.64  
% 2.25/0.64  % (977)Memory used [KB]: 7675
% 2.25/0.64  % (977)Time elapsed: 0.211 s
% 2.25/0.64  % (977)Instructions burned: 60 (million)
% 2.25/0.64  % (977)------------------------------
% 2.25/0.64  % (977)------------------------------
% 2.25/0.64  % (955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.64  % (955)Termination reason: Unknown
% 2.25/0.64  % (955)Termination phase: Saturation
% 2.25/0.64  
% 2.25/0.64  % (955)Memory used [KB]: 6268
% 2.25/0.64  % (955)Time elapsed: 0.036 s
% 2.25/0.64  % (955)Instructions burned: 52 (million)
% 2.25/0.64  % (955)------------------------------
% 2.25/0.64  % (955)------------------------------
% 2.25/0.64  % (972)First to succeed.
% 2.25/0.65  % (954)Instruction limit reached!
% 2.25/0.65  % (954)------------------------------
% 2.25/0.65  % (954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.65  % (954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.65  % (954)Termination reason: Unknown
% 2.25/0.65  % (954)Termination phase: Saturation
% 2.25/0.65  
% 2.25/0.65  % (954)Memory used [KB]: 6652
% 2.25/0.65  % (954)Time elapsed: 0.210 s
% 2.25/0.65  % (954)Instructions burned: 53 (million)
% 2.25/0.65  % (954)------------------------------
% 2.25/0.65  % (954)------------------------------
% 2.25/0.65  TRYING [5]
% 2.25/0.66  % (969)Instruction limit reached!
% 2.25/0.66  % (969)------------------------------
% 2.25/0.66  % (969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.66  % (969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.66  % (969)Termination reason: Unknown
% 2.25/0.66  % (969)Termination phase: Saturation
% 2.25/0.66  
% 2.25/0.66  % (969)Memory used [KB]: 6780
% 2.25/0.66  % (969)Time elapsed: 0.027 s
% 2.25/0.66  % (969)Instructions burned: 52 (million)
% 2.25/0.66  % (969)------------------------------
% 2.25/0.66  % (969)------------------------------
% 2.25/0.67  % (972)Refutation found. Thanks to Tanya!
% 2.25/0.67  % SZS status Unsatisfiable for theBenchmark
% 2.25/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 2.25/0.68  % (972)------------------------------
% 2.25/0.68  % (972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.68  % (972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.68  % (972)Termination reason: Refutation
% 2.25/0.68  
% 2.25/0.68  % (972)Memory used [KB]: 6652
% 2.25/0.68  % (972)Time elapsed: 0.215 s
% 2.25/0.68  % (972)Instructions burned: 86 (million)
% 2.25/0.68  % (972)------------------------------
% 2.25/0.68  % (972)------------------------------
% 2.25/0.68  % (942)Success in time 0.322 s
%------------------------------------------------------------------------------