TSTP Solution File: ALG146+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG146+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 : n020.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 15:43:05 EDT 2022

% Result   : Unsatisfiable 2.93s 0.75s
% Output   : Refutation 2.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  135
% Syntax   : Number of formulae    : 1004 (  55 unt;   0 def)
%            Number of atoms       : 2937 (1267 equ)
%            Maximal formula atoms :  128 (   2 avg)
%            Number of connectives : 3496 (1563   ~;1577   |; 256   &)
%                                         ( 100 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  117 ( 115 usr; 116 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3037,plain,
    $false,
    inference(avatar_sat_refutation,[],[f284,f323,f397,f410,f432,f441,f446,f455,f468,f473,f474,f479,f480,f489,f511,f524,f533,f538,f540,f541,f558,f564,f573,f574,f579,f580,f593,f594,f616,f629,f630,f635,f649,f654,f664,f665,f666,f667,f672,f682,f683,f684,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f720,f721,f722,f727,f728,f729,f738,f739,f740,f745,f750,f751,f752,f753,f758,f759,f760,f761,f762,f763,f764,f766,f767,f768,f769,f774,f776,f777,f778,f779,f780,f787,f788,f789,f790,f791,f792,f793,f794,f795,f800,f801,f802,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f815,f816,f817,f818,f819,f820,f827,f838,f839,f841,f851,f863,f871,f879,f880,f882,f892,f906,f909,f912,f915,f928,f931,f934,f939,f942,f945,f955,f962,f964,f974,f979,f986,f991,f1005,f1016,f1019,f1040,f1043,f1057,f1058,f1060,f1065,f1068,f1069,f1071,f1089,f1111,f1115,f1125,f1130,f1135,f1139,f1143,f1149,f1156,f1169,f1173,f1182,f1185,f1206,f1218,f1221,f1238,f1245,f1248,f1267,f1285,f1294,f1305,f1306,f1310,f1312,f1324,f1330,f1333,f1336,f1337,f1348,f1386,f1398,f1416,f1423,f1430,f1444,f1452,f1455,f1460,f1470,f1482,f1484,f1486,f1532,f1559,f1563,f1564,f1569,f1579,f1615,f1617,f1621,f1623,f1626,f1629,f1639,f1648,f1652,f1659,f1664,f1676,f1679,f1686,f1688,f1693,f1775,f1800,f1831,f1845,f1847,f1856,f1876,f1914,f1923,f1925,f1935,f1937,f1965,f2031,f2036,f2060,f2082,f2100,f2106,f2116,f2117,f2120,f2125,f2139,f2183,f2216,f2217,f2243,f2248,f2253,f2263,f2284,f2288,f2310,f2319,f2320,f2345,f2380,f2389,f2393,f2396,f2400,f2404,f2405,f2415,f2450,f2464,f2473,f2509,f2514,f2528,f2532,f2549,f2573,f2585,f2606,f2608,f2610,f2633,f2695,f2712,f2723,f2732,f2755,f2758,f2760,f2764,f2765,f2775,f2779,f2827,f2840,f2844,f2852,f2861,f2879,f2883,f2890,f2921,f2946,f2948,f2957,f2976,f2978,f2986,f3003]) ).

fof(f3003,plain,
    ( ~ spl15_82
    | ~ spl15_33 ),
    inference(avatar_split_clause,[],[f2998,f412,f642]) ).

fof(f642,plain,
    ( spl15_82
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_82])]) ).

fof(f412,plain,
    ( spl15_33
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).

fof(f2998,plain,
    ( e3 != op(e3,e0)
    | ~ spl15_33 ),
    inference(backward_demodulation,[],[f222,f414]) ).

fof(f414,plain,
    ( e3 = op(e3,e3)
    | ~ spl15_33 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f222,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f2986,plain,
    ( ~ spl15_8
    | ~ spl15_30
    | spl15_72
    | ~ spl15_91 ),
    inference(avatar_contradiction_clause,[],[f2985]) ).

fof(f2985,plain,
    ( $false
    | ~ spl15_8
    | ~ spl15_30
    | spl15_72
    | ~ spl15_91 ),
    inference(subsumption_resolution,[],[f2984,f401]) ).

fof(f401,plain,
    ( e1 = op(e3,e2)
    | ~ spl15_30 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f399,plain,
    ( spl15_30
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).

fof(f2984,plain,
    ( e1 != op(e3,e2)
    | ~ spl15_8
    | spl15_72
    | ~ spl15_91 ),
    inference(forward_demodulation,[],[f2979,f308]) ).

fof(f308,plain,
    ( op(e0,e0) = e3
    | ~ spl15_8 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f307,plain,
    ( spl15_8
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).

fof(f2979,plain,
    ( e1 != op(op(e0,e0),e2)
    | spl15_72
    | ~ spl15_91 ),
    inference(backward_demodulation,[],[f598,f692]) ).

fof(f692,plain,
    ( e0 = op(e2,e2)
    | ~ spl15_91 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f690,plain,
    ( spl15_91
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_91])]) ).

fof(f598,plain,
    ( e1 != op(op(op(e2,e2),op(e2,e2)),e2)
    | spl15_72 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f596,plain,
    ( spl15_72
  <=> e1 = op(op(op(e2,e2),op(e2,e2)),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_72])]) ).

fof(f2978,plain,
    ( ~ spl15_77
    | ~ spl15_74 ),
    inference(avatar_split_clause,[],[f2977,f605,f618]) ).

fof(f618,plain,
    ( spl15_77
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_77])]) ).

fof(f605,plain,
    ( spl15_74
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_74])]) ).

fof(f2977,plain,
    ( e2 != op(e3,e3)
    | ~ spl15_74 ),
    inference(forward_demodulation,[],[f208,f607]) ).

fof(f607,plain,
    ( e2 = op(e1,e3)
    | ~ spl15_74 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f208,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2976,plain,
    ( ~ spl15_82
    | ~ spl15_8 ),
    inference(avatar_split_clause,[],[f2975,f307,f642]) ).

fof(f2975,plain,
    ( e3 != op(e3,e0)
    | ~ spl15_8 ),
    inference(forward_demodulation,[],[f223,f308]) ).

fof(f223,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2957,plain,
    ( ~ spl15_69
    | ~ spl15_79 ),
    inference(avatar_split_clause,[],[f2956,f626,f582]) ).

fof(f582,plain,
    ( spl15_69
  <=> e2 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_69])]) ).

fof(f626,plain,
    ( spl15_79
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_79])]) ).

fof(f2956,plain,
    ( e2 != op(e3,e2)
    | ~ spl15_79 ),
    inference(backward_demodulation,[],[f233,f628]) ).

fof(f628,plain,
    ( e2 = op(e3,e1)
    | ~ spl15_79 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f233,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2948,plain,
    ( ~ spl15_99
    | ~ spl15_74 ),
    inference(avatar_split_clause,[],[f2947,f605,f747]) ).

fof(f747,plain,
    ( spl15_99
  <=> e2 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_99])]) ).

fof(f2947,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_74 ),
    inference(forward_demodulation,[],[f231,f607]) ).

fof(f231,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2946,plain,
    ( ~ spl15_56
    | ~ spl15_74 ),
    inference(avatar_split_clause,[],[f2945,f605,f517]) ).

fof(f517,plain,
    ( spl15_56
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_56])]) ).

fof(f2945,plain,
    ( e2 != op(e2,e3)
    | ~ spl15_74 ),
    inference(backward_demodulation,[],[f215,f607]) ).

fof(f215,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2921,plain,
    ( ~ spl15_4
    | ~ spl15_73 ),
    inference(avatar_split_clause,[],[f2920,f601,f290]) ).

fof(f290,plain,
    ( spl15_4
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).

fof(f601,plain,
    ( spl15_73
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_73])]) ).

fof(f2920,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_73 ),
    inference(forward_demodulation,[],[f226,f603]) ).

fof(f603,plain,
    ( e2 = op(e1,e2)
    | ~ spl15_73 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f226,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2890,plain,
    ( ~ spl15_62
    | spl15_81
    | ~ spl15_93 ),
    inference(avatar_contradiction_clause,[],[f2889]) ).

fof(f2889,plain,
    ( $false
    | ~ spl15_62
    | spl15_81
    | ~ spl15_93 ),
    inference(subsumption_resolution,[],[f2888,f549]) ).

fof(f549,plain,
    ( e3 = op(e2,e0)
    | ~ spl15_62 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f547,plain,
    ( spl15_62
  <=> e3 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_62])]) ).

fof(f2888,plain,
    ( e3 != op(e2,e0)
    | spl15_81
    | ~ spl15_93 ),
    inference(forward_demodulation,[],[f639,f712]) ).

fof(f712,plain,
    ( e2 = op(op(e0,e0),op(e0,e0))
    | ~ spl15_93 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f711,plain,
    ( spl15_93
  <=> e2 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_93])]) ).

fof(f639,plain,
    ( e3 != op(op(op(e0,e0),op(e0,e0)),e0)
    | spl15_81 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f637,plain,
    ( spl15_81
  <=> e3 = op(op(op(e0,e0),op(e0,e0)),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_81])]) ).

fof(f2883,plain,
    ( ~ spl15_61
    | ~ spl15_55 ),
    inference(avatar_split_clause,[],[f2882,f513,f543]) ).

fof(f543,plain,
    ( spl15_61
  <=> e0 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_61])]) ).

fof(f513,plain,
    ( spl15_55
  <=> e0 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_55])]) ).

fof(f2882,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_55 ),
    inference(forward_demodulation,[],[f234,f515]) ).

fof(f515,plain,
    ( e0 = op(e2,e3)
    | ~ spl15_55 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f234,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2879,plain,
    ( ~ spl15_12
    | ~ spl15_31
    | spl15_48
    | ~ spl15_99 ),
    inference(avatar_contradiction_clause,[],[f2878]) ).

fof(f2878,plain,
    ( $false
    | ~ spl15_12
    | ~ spl15_31
    | spl15_48
    | ~ spl15_99 ),
    inference(subsumption_resolution,[],[f2877,f749]) ).

fof(f749,plain,
    ( e2 = op(e0,e3)
    | ~ spl15_99 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f2877,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_12
    | ~ spl15_31
    | spl15_48 ),
    inference(forward_demodulation,[],[f2876,f326]) ).

fof(f326,plain,
    ( e0 = op(e1,e1)
    | ~ spl15_12 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f325,plain,
    ( spl15_12
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).

fof(f2876,plain,
    ( e2 != op(op(e1,e1),e3)
    | ~ spl15_31
    | spl15_48 ),
    inference(forward_demodulation,[],[f484,f405]) ).

fof(f405,plain,
    ( e1 = op(e3,e3)
    | ~ spl15_31 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f403,plain,
    ( spl15_31
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).

fof(f484,plain,
    ( e2 != op(op(op(e3,e3),op(e3,e3)),e3)
    | spl15_48 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f482,plain,
    ( spl15_48
  <=> e2 = op(op(op(e3,e3),op(e3,e3)),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_48])]) ).

fof(f2861,plain,
    ( ~ spl15_66
    | ~ spl15_62 ),
    inference(avatar_split_clause,[],[f2860,f547,f566]) ).

fof(f566,plain,
    ( spl15_66
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_66])]) ).

fof(f2860,plain,
    ( e3 != op(e2,e2)
    | ~ spl15_62 ),
    inference(backward_demodulation,[],[f194,f549]) ).

fof(f194,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2852,plain,
    ( ~ spl15_95
    | ~ spl15_101 ),
    inference(avatar_split_clause,[],[f2851,f771,f724]) ).

fof(f724,plain,
    ( spl15_95
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_95])]) ).

fof(f771,plain,
    ( spl15_101
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_101])]) ).

fof(f2851,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_101 ),
    inference(backward_demodulation,[],[f216,f773]) ).

fof(f773,plain,
    ( e3 = op(e3,e1)
    | ~ spl15_101 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f216,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2844,plain,
    ( ~ spl15_51
    | ~ spl15_50 ),
    inference(avatar_split_clause,[],[f2842,f491,f495]) ).

fof(f495,plain,
    ( spl15_51
  <=> e3 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_51])]) ).

fof(f491,plain,
    ( spl15_50
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_50])]) ).

fof(f2842,plain,
    ( e3 != op(e2,e3)
    | ~ spl15_50 ),
    inference(backward_demodulation,[],[f215,f493]) ).

fof(f493,plain,
    ( e3 = op(e1,e3)
    | ~ spl15_50 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f2840,plain,
    ( ~ spl15_6
    | spl15_41
    | ~ spl15_42 ),
    inference(avatar_split_clause,[],[f2839,f452,f448,f298]) ).

fof(f298,plain,
    ( spl15_6
  <=> e3 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).

fof(f448,plain,
    ( spl15_41
  <=> e3 = op(op(op(e2,e2),op(e2,e2)),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_41])]) ).

fof(f452,plain,
    ( spl15_42
  <=> e0 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_42])]) ).

fof(f2839,plain,
    ( e3 != op(e0,e2)
    | spl15_41
    | ~ spl15_42 ),
    inference(backward_demodulation,[],[f450,f453]) ).

fof(f453,plain,
    ( e0 = op(op(e2,e2),op(e2,e2))
    | ~ spl15_42 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f450,plain,
    ( e3 != op(op(op(e2,e2),op(e2,e2)),e2)
    | spl15_41 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f2827,plain,
    ( ~ spl15_68
    | ~ spl15_85
    | spl15_96 ),
    inference(avatar_contradiction_clause,[],[f2826]) ).

fof(f2826,plain,
    ( $false
    | ~ spl15_68
    | ~ spl15_85
    | spl15_96 ),
    inference(subsumption_resolution,[],[f2825,f577]) ).

fof(f577,plain,
    ( op(e0,e0) = e2
    | ~ spl15_68 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f576,plain,
    ( spl15_68
  <=> op(e0,e0) = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_68])]) ).

fof(f2825,plain,
    ( op(e0,e0) != e2
    | ~ spl15_85
    | spl15_96 ),
    inference(forward_demodulation,[],[f733,f658]) ).

fof(f658,plain,
    ( e0 = op(e3,e3)
    | ~ spl15_85 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f657,plain,
    ( spl15_85
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_85])]) ).

fof(f733,plain,
    ( e2 != op(op(e3,e3),op(e3,e3))
    | spl15_96 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f731,plain,
    ( spl15_96
  <=> e2 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_96])]) ).

fof(f2779,plain,
    ( ~ spl15_88
    | ~ spl15_85
    | spl15_86 ),
    inference(avatar_split_clause,[],[f2778,f661,f657,f675]) ).

fof(f675,plain,
    ( spl15_88
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_88])]) ).

fof(f661,plain,
    ( spl15_86
  <=> e1 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_86])]) ).

fof(f2778,plain,
    ( op(e0,e0) != e1
    | ~ spl15_85
    | spl15_86 ),
    inference(forward_demodulation,[],[f663,f658]) ).

fof(f663,plain,
    ( e1 != op(op(e3,e3),op(e3,e3))
    | spl15_86 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f2775,plain,
    ( ~ spl15_57
    | ~ spl15_68
    | ~ spl15_85
    | spl15_97 ),
    inference(avatar_contradiction_clause,[],[f2774]) ).

fof(f2774,plain,
    ( $false
    | ~ spl15_57
    | ~ spl15_68
    | ~ spl15_85
    | spl15_97 ),
    inference(subsumption_resolution,[],[f2773,f523]) ).

fof(f523,plain,
    ( e1 = op(e2,e3)
    | ~ spl15_57 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f521,plain,
    ( spl15_57
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_57])]) ).

fof(f2773,plain,
    ( e1 != op(e2,e3)
    | ~ spl15_68
    | ~ spl15_85
    | spl15_97 ),
    inference(forward_demodulation,[],[f2768,f577]) ).

fof(f2768,plain,
    ( e1 != op(op(e0,e0),e3)
    | ~ spl15_85
    | spl15_97 ),
    inference(backward_demodulation,[],[f737,f658]) ).

fof(f737,plain,
    ( e1 != op(op(op(e3,e3),op(e3,e3)),e3)
    | spl15_97 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f735,plain,
    ( spl15_97
  <=> e1 = op(op(op(e3,e3),op(e3,e3)),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_97])]) ).

fof(f2765,plain,
    ( ~ spl15_37
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f2763,f499,f429]) ).

fof(f429,plain,
    ( spl15_37
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_37])]) ).

fof(f499,plain,
    ( spl15_52
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_52])]) ).

fof(f2763,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_52 ),
    inference(backward_demodulation,[],[f227,f501]) ).

fof(f501,plain,
    ( e3 = op(e0,e3)
    | ~ spl15_52 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f227,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2764,plain,
    ( ~ spl15_33
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f2762,f499,f412]) ).

fof(f2762,plain,
    ( e3 != op(e3,e3)
    | ~ spl15_52 ),
    inference(backward_demodulation,[],[f220,f501]) ).

fof(f220,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2760,plain,
    ( ~ spl15_73
    | ~ spl15_60 ),
    inference(avatar_split_clause,[],[f2577,f535,f601]) ).

fof(f535,plain,
    ( spl15_60
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_60])]) ).

fof(f2577,plain,
    ( e2 != op(e1,e2)
    | ~ spl15_60 ),
    inference(forward_demodulation,[],[f192,f536]) ).

fof(f536,plain,
    ( e2 = op(e2,e2)
    | ~ spl15_60 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f192,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2758,plain,
    ( ~ spl15_101
    | ~ spl15_82 ),
    inference(avatar_split_clause,[],[f2757,f642,f771]) ).

fof(f2757,plain,
    ( e3 != op(e3,e1)
    | ~ spl15_82 ),
    inference(forward_demodulation,[],[f228,f644]) ).

fof(f644,plain,
    ( e3 = op(e3,e0)
    | ~ spl15_82 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f228,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2755,plain,
    ( ~ spl15_99
    | ~ spl15_68 ),
    inference(avatar_split_clause,[],[f2751,f576,f747]) ).

fof(f2751,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_68 ),
    inference(backward_demodulation,[],[f224,f577]) ).

fof(f224,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2732,plain,
    ( ~ spl15_36
    | ~ spl15_12 ),
    inference(avatar_split_clause,[],[f2728,f325,f425]) ).

fof(f425,plain,
    ( spl15_36
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_36])]) ).

fof(f2728,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f202,f326]) ).

fof(f202,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2723,plain,
    ( ~ spl15_88
    | ~ spl15_98 ),
    inference(avatar_split_clause,[],[f2722,f742,f675]) ).

fof(f742,plain,
    ( spl15_98
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_98])]) ).

fof(f2722,plain,
    ( op(e0,e0) != e1
    | ~ spl15_98 ),
    inference(forward_demodulation,[],[f232,f744]) ).

fof(f744,plain,
    ( e1 = op(e1,e0)
    | ~ spl15_98 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f232,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2712,plain,
    ( ~ spl15_62
    | ~ spl15_76
    | spl15_81
    | ~ spl15_88 ),
    inference(avatar_contradiction_clause,[],[f2711]) ).

fof(f2711,plain,
    ( $false
    | ~ spl15_62
    | ~ spl15_76
    | spl15_81
    | ~ spl15_88 ),
    inference(subsumption_resolution,[],[f2710,f549]) ).

fof(f2710,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_76
    | spl15_81
    | ~ spl15_88 ),
    inference(forward_demodulation,[],[f2709,f615]) ).

fof(f615,plain,
    ( e2 = op(e1,e1)
    | ~ spl15_76 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f613,plain,
    ( spl15_76
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_76])]) ).

fof(f2709,plain,
    ( e3 != op(op(e1,e1),e0)
    | spl15_81
    | ~ spl15_88 ),
    inference(forward_demodulation,[],[f639,f677]) ).

fof(f677,plain,
    ( op(e0,e0) = e1
    | ~ spl15_88 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f2695,plain,
    ( ~ spl15_65
    | ~ spl15_95 ),
    inference(avatar_contradiction_clause,[],[f2694]) ).

fof(f2694,plain,
    ( $false
    | ~ spl15_65
    | ~ spl15_95 ),
    inference(subsumption_resolution,[],[f2693,f250]) ).

fof(f250,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f4]) ).

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

fof(f2693,plain,
    ( e1 = e3
    | ~ spl15_65
    | ~ spl15_95 ),
    inference(backward_demodulation,[],[f726,f563]) ).

fof(f563,plain,
    ( e1 = op(e2,e1)
    | ~ spl15_65 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f561,plain,
    ( spl15_65
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_65])]) ).

fof(f726,plain,
    ( e3 = op(e2,e1)
    | ~ spl15_95 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f2633,plain,
    ( ~ spl15_87
    | ~ spl15_50 ),
    inference(avatar_split_clause,[],[f2632,f491,f669]) ).

fof(f669,plain,
    ( spl15_87
  <=> e3 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_87])]) ).

fof(f2632,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_50 ),
    inference(backward_demodulation,[],[f230,f493]) ).

fof(f230,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2610,plain,
    ( ~ spl15_64
    | ~ spl15_60 ),
    inference(avatar_split_clause,[],[f2609,f535,f555]) ).

fof(f555,plain,
    ( spl15_64
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_64])]) ).

fof(f2609,plain,
    ( e2 != op(e2,e0)
    | ~ spl15_60 ),
    inference(forward_demodulation,[],[f194,f536]) ).

fof(f2608,plain,
    ( ~ spl15_56
    | ~ spl15_60 ),
    inference(avatar_split_clause,[],[f2607,f535,f517]) ).

fof(f2607,plain,
    ( e2 != op(e2,e3)
    | ~ spl15_60 ),
    inference(forward_demodulation,[],[f225,f536]) ).

fof(f225,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2606,plain,
    ( ~ spl15_76
    | ~ spl15_88
    | spl15_93 ),
    inference(avatar_split_clause,[],[f2584,f711,f675,f613]) ).

fof(f2584,plain,
    ( e2 != op(e1,e1)
    | ~ spl15_88
    | spl15_93 ),
    inference(forward_demodulation,[],[f713,f677]) ).

fof(f713,plain,
    ( e2 != op(op(e0,e0),op(e0,e0))
    | spl15_93 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f2585,plain,
    ( ~ spl15_82
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f2485,f590,f642]) ).

fof(f590,plain,
    ( spl15_71
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_71])]) ).

fof(f2485,plain,
    ( e3 != op(e3,e0)
    | ~ spl15_71 ),
    inference(forward_demodulation,[],[f213,f592]) ).

fof(f592,plain,
    ( e3 = op(e3,e2)
    | ~ spl15_71 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f213,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2573,plain,
    ( ~ spl15_40
    | ~ spl15_84 ),
    inference(avatar_split_clause,[],[f2572,f651,f443]) ).

fof(f443,plain,
    ( spl15_40
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_40])]) ).

fof(f651,plain,
    ( spl15_84
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_84])]) ).

fof(f2572,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_84 ),
    inference(backward_demodulation,[],[f209,f653]) ).

fof(f653,plain,
    ( e1 = op(e1,e3)
    | ~ spl15_84 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f209,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2549,plain,
    ( ~ spl15_52
    | ~ spl15_99 ),
    inference(avatar_contradiction_clause,[],[f2548]) ).

fof(f2548,plain,
    ( $false
    | ~ spl15_52
    | ~ spl15_99 ),
    inference(subsumption_resolution,[],[f2547,f248]) ).

fof(f248,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f2547,plain,
    ( e2 = e3
    | ~ spl15_52
    | ~ spl15_99 ),
    inference(forward_demodulation,[],[f501,f749]) ).

fof(f2532,plain,
    ( ~ spl15_4
    | ~ spl15_60 ),
    inference(avatar_split_clause,[],[f2531,f535,f290]) ).

fof(f2531,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_60 ),
    inference(forward_demodulation,[],[f204,f536]) ).

fof(f204,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2528,plain,
    ( ~ spl15_3
    | ~ spl15_88 ),
    inference(avatar_split_clause,[],[f2526,f675,f286]) ).

fof(f286,plain,
    ( spl15_3
  <=> e1 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).

fof(f2526,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_88 ),
    inference(backward_demodulation,[],[f190,f677]) ).

fof(f190,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2514,plain,
    ( ~ spl15_10
    | ~ spl15_79 ),
    inference(avatar_contradiction_clause,[],[f2513]) ).

fof(f2513,plain,
    ( $false
    | ~ spl15_10
    | ~ spl15_79 ),
    inference(subsumption_resolution,[],[f2512,f247]) ).

fof(f247,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f2512,plain,
    ( e1 = e2
    | ~ spl15_10
    | ~ spl15_79 ),
    inference(forward_demodulation,[],[f628,f318]) ).

fof(f318,plain,
    ( e1 = op(e3,e1)
    | ~ spl15_10 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f316,plain,
    ( spl15_10
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).

fof(f2509,plain,
    ( ~ spl15_53
    | ~ spl15_95 ),
    inference(avatar_split_clause,[],[f2508,f724,f504]) ).

fof(f504,plain,
    ( spl15_53
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_53])]) ).

fof(f2508,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_95 ),
    inference(forward_demodulation,[],[f214,f726]) ).

fof(f214,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2473,plain,
    ( ~ spl15_2
    | ~ spl15_77
    | spl15_86 ),
    inference(avatar_contradiction_clause,[],[f2472]) ).

fof(f2472,plain,
    ( $false
    | ~ spl15_2
    | ~ spl15_77
    | spl15_86 ),
    inference(subsumption_resolution,[],[f2471,f282]) ).

fof(f282,plain,
    ( e1 = op(e2,e2)
    | ~ spl15_2 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f281,plain,
    ( spl15_2
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f2471,plain,
    ( e1 != op(e2,e2)
    | ~ spl15_77
    | spl15_86 ),
    inference(forward_demodulation,[],[f663,f620]) ).

fof(f620,plain,
    ( e2 = op(e3,e3)
    | ~ spl15_77 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f2464,plain,
    ( ~ spl15_44
    | ~ spl15_2
    | ~ spl15_77
    | spl15_103 ),
    inference(avatar_split_clause,[],[f2463,f797,f618,f281,f461]) ).

fof(f461,plain,
    ( spl15_44
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_44])]) ).

fof(f797,plain,
    ( spl15_103
  <=> e0 = op(op(op(e3,e3),op(e3,e3)),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_103])]) ).

fof(f2463,plain,
    ( e0 != op(e1,e3)
    | ~ spl15_2
    | ~ spl15_77
    | spl15_103 ),
    inference(forward_demodulation,[],[f2462,f282]) ).

fof(f2462,plain,
    ( e0 != op(op(e2,e2),e3)
    | ~ spl15_77
    | spl15_103 ),
    inference(forward_demodulation,[],[f799,f620]) ).

fof(f799,plain,
    ( e0 != op(op(op(e3,e3),op(e3,e3)),e3)
    | spl15_103 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f2450,plain,
    ( ~ spl15_5
    | ~ spl15_36 ),
    inference(avatar_contradiction_clause,[],[f2449]) ).

fof(f2449,plain,
    ( $false
    | ~ spl15_5
    | ~ spl15_36 ),
    inference(subsumption_resolution,[],[f2448,f427]) ).

fof(f427,plain,
    ( e0 = op(e0,e1)
    | ~ spl15_36 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f2448,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_5 ),
    inference(forward_demodulation,[],[f201,f296]) ).

fof(f296,plain,
    ( e0 = op(e0,e2)
    | ~ spl15_5 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f294,plain,
    ( spl15_5
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).

fof(f201,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2415,plain,
    ( ~ spl15_52
    | ~ spl15_89 ),
    inference(avatar_contradiction_clause,[],[f2414]) ).

fof(f2414,plain,
    ( $false
    | ~ spl15_52
    | ~ spl15_89 ),
    inference(subsumption_resolution,[],[f2413,f250]) ).

fof(f2413,plain,
    ( e1 = e3
    | ~ spl15_52
    | ~ spl15_89 ),
    inference(forward_demodulation,[],[f501,f681]) ).

fof(f681,plain,
    ( e1 = op(e0,e3)
    | ~ spl15_89 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f679,plain,
    ( spl15_89
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_89])]) ).

fof(f2405,plain,
    ( ~ spl15_78
    | ~ spl15_77 ),
    inference(avatar_split_clause,[],[f2402,f618,f622]) ).

fof(f622,plain,
    ( spl15_78
  <=> e2 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_78])]) ).

fof(f2402,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_77 ),
    inference(backward_demodulation,[],[f222,f620]) ).

fof(f2404,plain,
    ( ~ spl15_79
    | ~ spl15_77 ),
    inference(avatar_split_clause,[],[f2401,f618,f626]) ).

fof(f2401,plain,
    ( e2 != op(e3,e1)
    | ~ spl15_77 ),
    inference(backward_demodulation,[],[f203,f620]) ).

fof(f203,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2400,plain,
    ( ~ spl15_57
    | ~ spl15_89 ),
    inference(avatar_split_clause,[],[f2399,f679,f521]) ).

fof(f2399,plain,
    ( e1 != op(e2,e3)
    | ~ spl15_89 ),
    inference(backward_demodulation,[],[f191,f681]) ).

fof(f191,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2396,plain,
    ( ~ spl15_100
    | ~ spl15_36 ),
    inference(avatar_split_clause,[],[f2395,f425,f755]) ).

fof(f755,plain,
    ( spl15_100
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_100])]) ).

fof(f2395,plain,
    ( e0 != op(e3,e1)
    | ~ spl15_36 ),
    inference(forward_demodulation,[],[f195,f427]) ).

fof(f195,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2393,plain,
    ( ~ spl15_1
    | ~ spl15_95 ),
    inference(avatar_contradiction_clause,[],[f2392]) ).

fof(f2392,plain,
    ( $false
    | ~ spl15_1
    | ~ spl15_95 ),
    inference(subsumption_resolution,[],[f2391,f248]) ).

fof(f2391,plain,
    ( e2 = e3
    | ~ spl15_1
    | ~ spl15_95 ),
    inference(forward_demodulation,[],[f726,f279]) ).

fof(f279,plain,
    ( e2 = op(e2,e1)
    | ~ spl15_1 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f277,plain,
    ( spl15_1
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f2389,plain,
    ( ~ spl15_33
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f2388,f590,f412]) ).

fof(f2388,plain,
    ( e3 != op(e3,e3)
    | ~ spl15_71 ),
    inference(forward_demodulation,[],[f198,f592]) ).

fof(f198,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2380,plain,
    ( spl15_7
    | ~ spl15_53
    | ~ spl15_78
    | ~ spl15_88 ),
    inference(avatar_contradiction_clause,[],[f2379]) ).

fof(f2379,plain,
    ( $false
    | spl15_7
    | ~ spl15_53
    | ~ spl15_78
    | ~ spl15_88 ),
    inference(subsumption_resolution,[],[f2378,f624]) ).

fof(f624,plain,
    ( e2 = op(e3,e0)
    | ~ spl15_78 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f2378,plain,
    ( e2 != op(e3,e0)
    | spl15_7
    | ~ spl15_53
    | ~ spl15_88 ),
    inference(forward_demodulation,[],[f2377,f505]) ).

fof(f505,plain,
    ( e3 = op(e1,e1)
    | ~ spl15_53 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f2377,plain,
    ( e2 != op(op(e1,e1),e0)
    | spl15_7
    | ~ spl15_88 ),
    inference(forward_demodulation,[],[f305,f677]) ).

fof(f305,plain,
    ( e2 != op(op(op(e0,e0),op(e0,e0)),e0)
    | spl15_7 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f303,plain,
    ( spl15_7
  <=> e2 = op(op(op(e0,e0),op(e0,e0)),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).

fof(f2345,plain,
    ( ~ spl15_53
    | ~ spl15_88
    | spl15_94 ),
    inference(avatar_contradiction_clause,[],[f2344]) ).

fof(f2344,plain,
    ( $false
    | ~ spl15_53
    | ~ spl15_88
    | spl15_94 ),
    inference(subsumption_resolution,[],[f2341,f505]) ).

fof(f2341,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_88
    | spl15_94 ),
    inference(backward_demodulation,[],[f718,f677]) ).

fof(f718,plain,
    ( e3 != op(op(e0,e0),op(e0,e0))
    | spl15_94 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f716,plain,
    ( spl15_94
  <=> e3 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_94])]) ).

fof(f2320,plain,
    ( ~ spl15_50
    | ~ spl15_53 ),
    inference(avatar_split_clause,[],[f2313,f504,f491]) ).

fof(f2313,plain,
    ( e3 != op(e1,e3)
    | ~ spl15_53 ),
    inference(backward_demodulation,[],[f209,f505]) ).

fof(f2319,plain,
    ( ~ spl15_70
    | ~ spl15_2
    | spl15_39
    | ~ spl15_53 ),
    inference(avatar_split_clause,[],[f2318,f504,f438,f281,f586]) ).

fof(f586,plain,
    ( spl15_70
  <=> e0 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_70])]) ).

fof(f438,plain,
    ( spl15_39
  <=> e0 = op(op(op(e2,e2),op(e2,e2)),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_39])]) ).

fof(f2318,plain,
    ( e0 != op(e3,e2)
    | ~ spl15_2
    | spl15_39
    | ~ spl15_53 ),
    inference(backward_demodulation,[],[f2311,f505]) ).

fof(f2311,plain,
    ( e0 != op(op(e1,e1),e2)
    | ~ spl15_2
    | spl15_39 ),
    inference(forward_demodulation,[],[f440,f282]) ).

fof(f440,plain,
    ( e0 != op(op(op(e2,e2),op(e2,e2)),e2)
    | spl15_39 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f2310,plain,
    ( ~ spl15_79
    | ~ spl15_1 ),
    inference(avatar_split_clause,[],[f2309,f277,f626]) ).

fof(f2309,plain,
    ( e2 != op(e3,e1)
    | ~ spl15_1 ),
    inference(backward_demodulation,[],[f216,f279]) ).

fof(f2288,plain,
    ( ~ spl15_76
    | ~ spl15_1 ),
    inference(avatar_split_clause,[],[f2201,f277,f613]) ).

fof(f2201,plain,
    ( e2 != op(e1,e1)
    | ~ spl15_1 ),
    inference(forward_demodulation,[],[f214,f279]) ).

fof(f2284,plain,
    ( ~ spl15_26
    | ~ spl15_43 ),
    inference(avatar_split_clause,[],[f2283,f457,f382]) ).

fof(f382,plain,
    ( spl15_26
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).

fof(f457,plain,
    ( spl15_43
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_43])]) ).

fof(f2283,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_43 ),
    inference(forward_demodulation,[],[f232,f459]) ).

fof(f459,plain,
    ( e0 = op(e1,e0)
    | ~ spl15_43 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f2263,plain,
    ( ~ spl15_1
    | ~ spl15_65 ),
    inference(avatar_contradiction_clause,[],[f2262]) ).

fof(f2262,plain,
    ( $false
    | ~ spl15_1
    | ~ spl15_65 ),
    inference(subsumption_resolution,[],[f2261,f247]) ).

fof(f2261,plain,
    ( e1 = e2
    | ~ spl15_1
    | ~ spl15_65 ),
    inference(backward_demodulation,[],[f279,f563]) ).

fof(f2253,plain,
    ( ~ spl15_47
    | ~ spl15_80 ),
    inference(avatar_contradiction_clause,[],[f2252]) ).

fof(f2252,plain,
    ( $false
    | ~ spl15_47
    | ~ spl15_80 ),
    inference(subsumption_resolution,[],[f2251,f250]) ).

fof(f2251,plain,
    ( e1 = e3
    | ~ spl15_47
    | ~ spl15_80 ),
    inference(forward_demodulation,[],[f634,f478]) ).

fof(f478,plain,
    ( e1 = op(e1,e2)
    | ~ spl15_47 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f476,plain,
    ( spl15_47
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_47])]) ).

fof(f634,plain,
    ( e3 = op(e1,e2)
    | ~ spl15_80 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f632,plain,
    ( spl15_80
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_80])]) ).

fof(f2248,plain,
    ( ~ spl15_88
    | ~ spl15_32 ),
    inference(avatar_split_clause,[],[f2246,f407,f675]) ).

fof(f407,plain,
    ( spl15_32
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).

fof(f2246,plain,
    ( op(e0,e0) != e1
    | ~ spl15_32 ),
    inference(backward_demodulation,[],[f223,f409]) ).

fof(f409,plain,
    ( e1 = op(e3,e0)
    | ~ spl15_32 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f2243,plain,
    ( ~ spl15_26
    | ~ spl15_5 ),
    inference(avatar_split_clause,[],[f2242,f294,f382]) ).

fof(f2242,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_5 ),
    inference(forward_demodulation,[],[f190,f296]) ).

fof(f2217,plain,
    ( ~ spl15_87
    | ~ spl15_80 ),
    inference(avatar_split_clause,[],[f1984,f632,f669]) ).

fof(f1984,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_80 ),
    inference(forward_demodulation,[],[f212,f634]) ).

fof(f212,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2216,plain,
    ( ~ spl15_6
    | ~ spl15_37 ),
    inference(avatar_split_clause,[],[f2215,f429,f298]) ).

fof(f2215,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_37 ),
    inference(forward_demodulation,[],[f201,f431]) ).

fof(f431,plain,
    ( e3 = op(e0,e1)
    | ~ spl15_37 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f2183,plain,
    ( ~ spl15_73
    | ~ spl15_80 ),
    inference(avatar_contradiction_clause,[],[f2182]) ).

fof(f2182,plain,
    ( $false
    | ~ spl15_73
    | ~ spl15_80 ),
    inference(subsumption_resolution,[],[f2181,f248]) ).

fof(f2181,plain,
    ( e2 = e3
    | ~ spl15_73
    | ~ spl15_80 ),
    inference(backward_demodulation,[],[f634,f603]) ).

fof(f2139,plain,
    ( ~ spl15_44
    | ~ spl15_12 ),
    inference(avatar_split_clause,[],[f2132,f325,f461]) ).

fof(f2132,plain,
    ( e0 != op(e1,e3)
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f209,f326]) ).

fof(f2125,plain,
    ( ~ spl15_12
    | ~ spl15_2
    | spl15_42 ),
    inference(avatar_split_clause,[],[f2124,f452,f281,f325]) ).

fof(f2124,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_2
    | spl15_42 ),
    inference(forward_demodulation,[],[f454,f282]) ).

fof(f454,plain,
    ( e0 != op(op(e2,e2),op(e2,e2))
    | spl15_42 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f2120,plain,
    ( ~ spl15_64
    | ~ spl15_1 ),
    inference(avatar_split_clause,[],[f2119,f277,f555]) ).

fof(f2119,plain,
    ( e2 != op(e2,e0)
    | ~ spl15_1 ),
    inference(forward_demodulation,[],[f217,f279]) ).

fof(f217,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2117,plain,
    ( ~ spl15_53
    | ~ spl15_2
    | spl15_38 ),
    inference(avatar_split_clause,[],[f2112,f434,f281,f504]) ).

fof(f434,plain,
    ( spl15_38
  <=> e3 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_38])]) ).

fof(f2112,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_2
    | spl15_38 ),
    inference(backward_demodulation,[],[f436,f282]) ).

fof(f436,plain,
    ( e3 != op(op(e2,e2),op(e2,e2))
    | spl15_38 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f2116,plain,
    ( ~ spl15_30
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f2110,f281,f399]) ).

fof(f2110,plain,
    ( e1 != op(e3,e2)
    | ~ spl15_2 ),
    inference(backward_demodulation,[],[f205,f282]) ).

fof(f205,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2106,plain,
    ( ~ spl15_30
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f2105,f316,f399]) ).

fof(f2105,plain,
    ( e1 != op(e3,e2)
    | ~ spl15_10 ),
    inference(forward_demodulation,[],[f233,f318]) ).

fof(f2100,plain,
    ( ~ spl15_35
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f2099,f316,f421]) ).

fof(f421,plain,
    ( spl15_35
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_35])]) ).

fof(f2099,plain,
    ( e1 != op(e0,e1)
    | ~ spl15_10 ),
    inference(forward_demodulation,[],[f195,f318]) ).

fof(f2082,plain,
    ( spl15_67
    | ~ spl15_88
    | ~ spl15_91 ),
    inference(avatar_contradiction_clause,[],[f2081]) ).

fof(f2081,plain,
    ( $false
    | spl15_67
    | ~ spl15_88
    | ~ spl15_91 ),
    inference(subsumption_resolution,[],[f2080,f677]) ).

fof(f2080,plain,
    ( op(e0,e0) != e1
    | spl15_67
    | ~ spl15_91 ),
    inference(forward_demodulation,[],[f572,f692]) ).

fof(f572,plain,
    ( e1 != op(op(e2,e2),op(e2,e2))
    | spl15_67 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f570,plain,
    ( spl15_67
  <=> e1 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_67])]) ).

fof(f2060,plain,
    ( spl15_41
    | ~ spl15_80
    | ~ spl15_88
    | ~ spl15_91 ),
    inference(avatar_contradiction_clause,[],[f2059]) ).

fof(f2059,plain,
    ( $false
    | spl15_41
    | ~ spl15_80
    | ~ spl15_88
    | ~ spl15_91 ),
    inference(subsumption_resolution,[],[f2058,f634]) ).

fof(f2058,plain,
    ( e3 != op(e1,e2)
    | spl15_41
    | ~ spl15_88
    | ~ spl15_91 ),
    inference(forward_demodulation,[],[f1823,f677]) ).

fof(f1823,plain,
    ( e3 != op(op(e0,e0),e2)
    | spl15_41
    | ~ spl15_91 ),
    inference(forward_demodulation,[],[f450,f692]) ).

fof(f2036,plain,
    ( ~ spl15_65
    | ~ spl15_40 ),
    inference(avatar_split_clause,[],[f2035,f443,f561]) ).

fof(f2035,plain,
    ( e1 != op(e2,e1)
    | ~ spl15_40 ),
    inference(forward_demodulation,[],[f214,f444]) ).

fof(f444,plain,
    ( e1 = op(e1,e1)
    | ~ spl15_40 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f2031,plain,
    ( spl15_48
    | ~ spl15_74
    | ~ spl15_85
    | ~ spl15_88 ),
    inference(avatar_contradiction_clause,[],[f2030]) ).

fof(f2030,plain,
    ( $false
    | spl15_48
    | ~ spl15_74
    | ~ spl15_85
    | ~ spl15_88 ),
    inference(subsumption_resolution,[],[f2026,f607]) ).

fof(f2026,plain,
    ( e2 != op(e1,e3)
    | spl15_48
    | ~ spl15_85
    | ~ spl15_88 ),
    inference(backward_demodulation,[],[f1938,f677]) ).

fof(f1938,plain,
    ( e2 != op(op(e0,e0),e3)
    | spl15_48
    | ~ spl15_85 ),
    inference(forward_demodulation,[],[f484,f658]) ).

fof(f1965,plain,
    ( ~ spl15_46
    | ~ spl15_85 ),
    inference(avatar_contradiction_clause,[],[f1964]) ).

fof(f1964,plain,
    ( $false
    | ~ spl15_46
    | ~ spl15_85 ),
    inference(subsumption_resolution,[],[f1963,f472]) ).

fof(f472,plain,
    ( e0 = op(e0,e3)
    | ~ spl15_46 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f470,plain,
    ( spl15_46
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_46])]) ).

fof(f1963,plain,
    ( e0 != op(e0,e3)
    | ~ spl15_85 ),
    inference(forward_demodulation,[],[f220,f658]) ).

fof(f1937,plain,
    ( ~ spl15_90
    | spl15_58
    | ~ spl15_59 ),
    inference(avatar_split_clause,[],[f1861,f530,f526,f686]) ).

fof(f686,plain,
    ( spl15_90
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_90])]) ).

fof(f526,plain,
    ( spl15_58
  <=> e0 = op(op(op(e1,e1),op(e1,e1)),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_58])]) ).

fof(f530,plain,
    ( spl15_59
  <=> e2 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_59])]) ).

fof(f1861,plain,
    ( e0 != op(e2,e1)
    | spl15_58
    | ~ spl15_59 ),
    inference(backward_demodulation,[],[f528,f531]) ).

fof(f531,plain,
    ( e2 = op(op(e1,e1),op(e1,e1))
    | ~ spl15_59 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f528,plain,
    ( e0 != op(op(op(e1,e1),op(e1,e1)),e1)
    | spl15_58 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f1935,plain,
    ( ~ spl15_8
    | spl15_38
    | ~ spl15_91 ),
    inference(avatar_split_clause,[],[f1848,f690,f434,f307]) ).

fof(f1848,plain,
    ( op(e0,e0) != e3
    | spl15_38
    | ~ spl15_91 ),
    inference(forward_demodulation,[],[f436,f692]) ).

fof(f1925,plain,
    ( ~ spl15_68
    | ~ spl15_4 ),
    inference(avatar_split_clause,[],[f1924,f290,f576]) ).

fof(f1924,plain,
    ( op(e0,e0) != e2
    | ~ spl15_4 ),
    inference(forward_demodulation,[],[f190,f292]) ).

fof(f292,plain,
    ( e2 = op(e0,e2)
    | ~ spl15_4 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f1923,plain,
    ( ~ spl15_90
    | ~ spl15_91 ),
    inference(avatar_split_clause,[],[f1922,f690,f686]) ).

fof(f1922,plain,
    ( e0 != op(e2,e1)
    | ~ spl15_91 ),
    inference(forward_demodulation,[],[f197,f692]) ).

fof(f197,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1914,plain,
    ( ~ spl15_78
    | ~ spl15_64 ),
    inference(avatar_split_clause,[],[f1913,f555,f622]) ).

fof(f1913,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_64 ),
    inference(forward_demodulation,[],[f210,f557]) ).

fof(f557,plain,
    ( e2 = op(e2,e0)
    | ~ spl15_64 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f210,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1876,plain,
    ( ~ spl15_87
    | ~ spl15_53 ),
    inference(avatar_split_clause,[],[f1874,f504,f669]) ).

fof(f1874,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_53 ),
    inference(backward_demodulation,[],[f219,f505]) ).

fof(f219,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1856,plain,
    ( ~ spl15_99
    | ~ spl15_77 ),
    inference(avatar_split_clause,[],[f1763,f618,f747]) ).

fof(f1763,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_77 ),
    inference(forward_demodulation,[],[f220,f620]) ).

fof(f1847,plain,
    ( ~ spl15_46
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f1846,f382,f470]) ).

fof(f1846,plain,
    ( e0 != op(e0,e3)
    | ~ spl15_26 ),
    inference(forward_demodulation,[],[f224,f383]) ).

fof(f383,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_26 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f1845,plain,
    ( ~ spl15_8
    | ~ spl15_26 ),
    inference(avatar_contradiction_clause,[],[f1844]) ).

fof(f1844,plain,
    ( $false
    | ~ spl15_8
    | ~ spl15_26 ),
    inference(subsumption_resolution,[],[f1843,f245]) ).

fof(f245,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f1843,plain,
    ( e0 = e3
    | ~ spl15_8
    | ~ spl15_26 ),
    inference(forward_demodulation,[],[f308,f383]) ).

fof(f1831,plain,
    ( spl15_49
    | ~ spl15_77
    | ~ spl15_91 ),
    inference(avatar_contradiction_clause,[],[f1830]) ).

fof(f1830,plain,
    ( $false
    | spl15_49
    | ~ spl15_77
    | ~ spl15_91 ),
    inference(subsumption_resolution,[],[f1829,f692]) ).

fof(f1829,plain,
    ( e0 != op(e2,e2)
    | spl15_49
    | ~ spl15_77 ),
    inference(forward_demodulation,[],[f488,f620]) ).

fof(f488,plain,
    ( e0 != op(op(e3,e3),op(e3,e3))
    | spl15_49 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f486,plain,
    ( spl15_49
  <=> e0 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_49])]) ).

fof(f1800,plain,
    ( ~ spl15_77
    | ~ spl15_89
    | ~ spl15_91
    | spl15_97 ),
    inference(avatar_contradiction_clause,[],[f1799]) ).

fof(f1799,plain,
    ( $false
    | ~ spl15_77
    | ~ spl15_89
    | ~ spl15_91
    | spl15_97 ),
    inference(subsumption_resolution,[],[f1796,f681]) ).

fof(f1796,plain,
    ( e1 != op(e0,e3)
    | ~ spl15_77
    | ~ spl15_91
    | spl15_97 ),
    inference(backward_demodulation,[],[f1771,f692]) ).

fof(f1771,plain,
    ( e1 != op(op(e2,e2),e3)
    | ~ spl15_77
    | spl15_97 ),
    inference(forward_demodulation,[],[f737,f620]) ).

fof(f1775,plain,
    ( ~ spl15_66
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f1774,f590,f566]) ).

fof(f1774,plain,
    ( e3 != op(e2,e2)
    | ~ spl15_71 ),
    inference(backward_demodulation,[],[f205,f592]) ).

fof(f1693,plain,
    ( ~ spl15_95
    | ~ spl15_66 ),
    inference(avatar_split_clause,[],[f1692,f566,f724]) ).

fof(f1692,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_66 ),
    inference(forward_demodulation,[],[f197,f567]) ).

fof(f567,plain,
    ( e3 = op(e2,e2)
    | ~ spl15_66 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f1688,plain,
    ( ~ spl15_82
    | ~ spl15_87 ),
    inference(avatar_split_clause,[],[f1687,f669,f642]) ).

fof(f1687,plain,
    ( e3 != op(e3,e0)
    | ~ spl15_87 ),
    inference(forward_demodulation,[],[f207,f671]) ).

fof(f671,plain,
    ( e3 = op(e1,e0)
    | ~ spl15_87 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f207,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1686,plain,
    ( ~ spl15_3
    | ~ spl15_47 ),
    inference(avatar_split_clause,[],[f1683,f476,f286]) ).

fof(f1683,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_47 ),
    inference(backward_demodulation,[],[f226,f478]) ).

fof(f1679,plain,
    ( ~ spl15_101
    | ~ spl15_37 ),
    inference(avatar_split_clause,[],[f1678,f429,f771]) ).

fof(f1678,plain,
    ( e3 != op(e3,e1)
    | ~ spl15_37 ),
    inference(forward_demodulation,[],[f195,f431]) ).

fof(f1676,plain,
    ( ~ spl15_101
    | ~ spl15_33 ),
    inference(avatar_split_clause,[],[f1675,f412,f771]) ).

fof(f1675,plain,
    ( e3 != op(e3,e1)
    | ~ spl15_33 ),
    inference(forward_demodulation,[],[f203,f414]) ).

fof(f1664,plain,
    ( spl15_13
    | ~ spl15_66
    | ~ spl15_76 ),
    inference(avatar_contradiction_clause,[],[f1663]) ).

fof(f1663,plain,
    ( $false
    | spl15_13
    | ~ spl15_66
    | ~ spl15_76 ),
    inference(subsumption_resolution,[],[f1662,f567]) ).

fof(f1662,plain,
    ( e3 != op(e2,e2)
    | spl15_13
    | ~ spl15_76 ),
    inference(forward_demodulation,[],[f331,f615]) ).

fof(f331,plain,
    ( e3 != op(op(e1,e1),op(e1,e1))
    | spl15_13 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f329,plain,
    ( spl15_13
  <=> e3 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).

fof(f1659,plain,
    ( ~ spl15_73
    | ~ spl15_76 ),
    inference(avatar_split_clause,[],[f1656,f613,f601]) ).

fof(f1656,plain,
    ( e2 != op(e1,e2)
    | ~ spl15_76 ),
    inference(backward_demodulation,[],[f189,f615]) ).

fof(f189,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1652,plain,
    ( ~ spl15_50
    | ~ spl15_33 ),
    inference(avatar_split_clause,[],[f1651,f412,f491]) ).

fof(f1651,plain,
    ( e3 != op(e1,e3)
    | ~ spl15_33 ),
    inference(backward_demodulation,[],[f208,f414]) ).

fof(f1648,plain,
    ( ~ spl15_1
    | ~ spl15_56 ),
    inference(avatar_split_clause,[],[f1647,f517,f277]) ).

fof(f1647,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_56 ),
    inference(forward_demodulation,[],[f200,f519]) ).

fof(f519,plain,
    ( e2 = op(e2,e3)
    | ~ spl15_56 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f200,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1639,plain,
    ( ~ spl15_43
    | ~ spl15_75 ),
    inference(avatar_contradiction_clause,[],[f1638]) ).

fof(f1638,plain,
    ( $false
    | ~ spl15_43
    | ~ spl15_75 ),
    inference(subsumption_resolution,[],[f1637,f249]) ).

fof(f249,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f1637,plain,
    ( e0 = e2
    | ~ spl15_43
    | ~ spl15_75 ),
    inference(forward_demodulation,[],[f611,f459]) ).

fof(f611,plain,
    ( e2 = op(e1,e0)
    | ~ spl15_75 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f609,plain,
    ( spl15_75
  <=> e2 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_75])]) ).

fof(f1629,plain,
    ( ~ spl15_43
    | ~ spl15_83 ),
    inference(avatar_contradiction_clause,[],[f1628]) ).

fof(f1628,plain,
    ( $false
    | ~ spl15_43
    | ~ spl15_83 ),
    inference(subsumption_resolution,[],[f1627,f459]) ).

fof(f1627,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_83 ),
    inference(forward_demodulation,[],[f207,f648]) ).

fof(f648,plain,
    ( e0 = op(e3,e0)
    | ~ spl15_83 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f646,plain,
    ( spl15_83
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_83])]) ).

fof(f1626,plain,
    ( ~ spl15_30
    | ~ spl15_31 ),
    inference(avatar_split_clause,[],[f1549,f403,f399]) ).

fof(f1549,plain,
    ( e1 != op(e3,e2)
    | ~ spl15_31 ),
    inference(forward_demodulation,[],[f198,f405]) ).

fof(f1623,plain,
    ( ~ spl15_4
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f1622,f582,f290]) ).

fof(f1622,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_69 ),
    inference(backward_demodulation,[],[f221,f584]) ).

fof(f584,plain,
    ( e2 = op(e3,e2)
    | ~ spl15_69 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f221,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1621,plain,
    ( ~ spl15_71
    | ~ spl15_101 ),
    inference(avatar_split_clause,[],[f1620,f771,f590]) ).

fof(f1620,plain,
    ( e3 != op(e3,e2)
    | ~ spl15_101 ),
    inference(forward_demodulation,[],[f233,f773]) ).

fof(f1617,plain,
    ( ~ spl15_5
    | ~ spl15_46 ),
    inference(avatar_split_clause,[],[f1582,f470,f294]) ).

fof(f1582,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_46 ),
    inference(forward_demodulation,[],[f196,f472]) ).

fof(f196,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1615,plain,
    ( ~ spl15_31
    | ~ spl15_66
    | spl15_67 ),
    inference(avatar_contradiction_clause,[],[f1614]) ).

fof(f1614,plain,
    ( $false
    | ~ spl15_31
    | ~ spl15_66
    | spl15_67 ),
    inference(subsumption_resolution,[],[f1613,f405]) ).

fof(f1613,plain,
    ( e1 != op(e3,e3)
    | ~ spl15_66
    | spl15_67 ),
    inference(forward_demodulation,[],[f572,f567]) ).

fof(f1579,plain,
    ( ~ spl15_62
    | ~ spl15_8 ),
    inference(avatar_split_clause,[],[f1572,f307,f547]) ).

fof(f1572,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_8 ),
    inference(backward_demodulation,[],[f229,f308]) ).

fof(f229,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1569,plain,
    ( ~ spl15_5
    | ~ spl15_70 ),
    inference(avatar_contradiction_clause,[],[f1568]) ).

fof(f1568,plain,
    ( $false
    | ~ spl15_5
    | ~ spl15_70 ),
    inference(subsumption_resolution,[],[f1567,f296]) ).

fof(f1567,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_70 ),
    inference(forward_demodulation,[],[f221,f588]) ).

fof(f588,plain,
    ( e0 = op(e3,e2)
    | ~ spl15_70 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f1564,plain,
    ( ~ spl15_83
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f1510,f586,f646]) ).

fof(f1510,plain,
    ( e0 != op(e3,e0)
    | ~ spl15_70 ),
    inference(forward_demodulation,[],[f213,f588]) ).

fof(f1563,plain,
    ( ~ spl15_44
    | ~ spl15_46 ),
    inference(avatar_split_clause,[],[f1562,f470,f461]) ).

fof(f1562,plain,
    ( e0 != op(e1,e3)
    | ~ spl15_46 ),
    inference(backward_demodulation,[],[f231,f472]) ).

fof(f1559,plain,
    ( ~ spl15_44
    | ~ spl15_43 ),
    inference(avatar_split_clause,[],[f1558,f457,f461]) ).

fof(f1558,plain,
    ( e0 != op(e1,e3)
    | ~ spl15_43 ),
    inference(forward_demodulation,[],[f230,f459]) ).

fof(f1532,plain,
    ( ~ spl15_31
    | ~ spl15_89 ),
    inference(avatar_contradiction_clause,[],[f1531]) ).

fof(f1531,plain,
    ( $false
    | ~ spl15_31
    | ~ spl15_89 ),
    inference(subsumption_resolution,[],[f1530,f681]) ).

fof(f1530,plain,
    ( e1 != op(e0,e3)
    | ~ spl15_31 ),
    inference(forward_demodulation,[],[f220,f405]) ).

fof(f1486,plain,
    ( ~ spl15_77
    | ~ spl15_56 ),
    inference(avatar_split_clause,[],[f1485,f517,f618]) ).

fof(f1485,plain,
    ( e2 != op(e3,e3)
    | ~ spl15_56 ),
    inference(forward_demodulation,[],[f199,f519]) ).

fof(f199,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1484,plain,
    ( ~ spl15_26
    | ~ spl15_61 ),
    inference(avatar_split_clause,[],[f1483,f543,f382]) ).

fof(f1483,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_61 ),
    inference(forward_demodulation,[],[f229,f545]) ).

fof(f545,plain,
    ( e0 = op(e2,e0)
    | ~ spl15_61 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f1482,plain,
    ( ~ spl15_30
    | ~ spl15_70 ),
    inference(avatar_contradiction_clause,[],[f1481]) ).

fof(f1481,plain,
    ( $false
    | ~ spl15_30
    | ~ spl15_70 ),
    inference(subsumption_resolution,[],[f1480,f246]) ).

fof(f246,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f4]) ).

fof(f1480,plain,
    ( e0 = e1
    | ~ spl15_30
    | ~ spl15_70 ),
    inference(backward_demodulation,[],[f401,f588]) ).

fof(f1470,plain,
    ( ~ spl15_47
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f1469,f399,f476]) ).

fof(f1469,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_30 ),
    inference(forward_demodulation,[],[f188,f401]) ).

fof(f188,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1460,plain,
    ( ~ spl15_44
    | ~ spl15_50 ),
    inference(avatar_contradiction_clause,[],[f1459]) ).

fof(f1459,plain,
    ( $false
    | ~ spl15_44
    | ~ spl15_50 ),
    inference(subsumption_resolution,[],[f1456,f245]) ).

fof(f1456,plain,
    ( e0 = e3
    | ~ spl15_44
    | ~ spl15_50 ),
    inference(backward_demodulation,[],[f493,f463]) ).

fof(f463,plain,
    ( e0 = op(e1,e3)
    | ~ spl15_44 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f1455,plain,
    ( ~ spl15_34
    | ~ spl15_37 ),
    inference(avatar_contradiction_clause,[],[f1454]) ).

fof(f1454,plain,
    ( $false
    | ~ spl15_34
    | ~ spl15_37 ),
    inference(subsumption_resolution,[],[f1453,f248]) ).

fof(f1453,plain,
    ( e2 = e3
    | ~ spl15_34
    | ~ spl15_37 ),
    inference(forward_demodulation,[],[f431,f419]) ).

fof(f419,plain,
    ( e2 = op(e0,e1)
    | ~ spl15_34 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f417,plain,
    ( spl15_34
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).

fof(f1452,plain,
    ( ~ spl15_61
    | ~ spl15_63 ),
    inference(avatar_contradiction_clause,[],[f1451]) ).

fof(f1451,plain,
    ( $false
    | ~ spl15_61
    | ~ spl15_63 ),
    inference(subsumption_resolution,[],[f1450,f246]) ).

fof(f1450,plain,
    ( e0 = e1
    | ~ spl15_61
    | ~ spl15_63 ),
    inference(backward_demodulation,[],[f553,f545]) ).

fof(f553,plain,
    ( e1 = op(e2,e0)
    | ~ spl15_63 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f551,plain,
    ( spl15_63
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_63])]) ).

fof(f1444,plain,
    ( ~ spl15_61
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f1257,f686,f543]) ).

fof(f1257,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_90 ),
    inference(forward_demodulation,[],[f217,f688]) ).

fof(f688,plain,
    ( e0 = op(e2,e1)
    | ~ spl15_90 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f1430,plain,
    ( ~ spl15_30
    | ~ spl15_69 ),
    inference(avatar_contradiction_clause,[],[f1429]) ).

fof(f1429,plain,
    ( $false
    | ~ spl15_30
    | ~ spl15_69 ),
    inference(subsumption_resolution,[],[f1428,f247]) ).

fof(f1428,plain,
    ( e1 = e2
    | ~ spl15_30
    | ~ spl15_69 ),
    inference(backward_demodulation,[],[f584,f401]) ).

fof(f1423,plain,
    ( ~ spl15_12
    | ~ spl15_45 ),
    inference(avatar_split_clause,[],[f1422,f465,f325]) ).

fof(f465,plain,
    ( spl15_45
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_45])]) ).

fof(f1422,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_45 ),
    inference(forward_demodulation,[],[f189,f467]) ).

fof(f467,plain,
    ( e0 = op(e1,e2)
    | ~ spl15_45 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f1416,plain,
    ( ~ spl15_84
    | ~ spl15_89 ),
    inference(avatar_split_clause,[],[f1414,f679,f651]) ).

fof(f1414,plain,
    ( e1 != op(e1,e3)
    | ~ spl15_89 ),
    inference(backward_demodulation,[],[f231,f681]) ).

fof(f1398,plain,
    ( ~ spl15_73
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f1397,f582,f601]) ).

fof(f1397,plain,
    ( e2 != op(e1,e2)
    | ~ spl15_69 ),
    inference(backward_demodulation,[],[f188,f584]) ).

fof(f1386,plain,
    ( ~ spl15_12
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f1364,f686,f325]) ).

fof(f1364,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_90 ),
    inference(forward_demodulation,[],[f214,f688]) ).

fof(f1348,plain,
    ( ~ spl15_87
    | ~ spl15_98 ),
    inference(avatar_contradiction_clause,[],[f1347]) ).

fof(f1347,plain,
    ( $false
    | ~ spl15_87
    | ~ spl15_98 ),
    inference(subsumption_resolution,[],[f1346,f250]) ).

fof(f1346,plain,
    ( e1 = e3
    | ~ spl15_87
    | ~ spl15_98 ),
    inference(forward_demodulation,[],[f671,f744]) ).

fof(f1337,plain,
    ( ~ spl15_12
    | ~ spl15_31
    | spl15_49 ),
    inference(avatar_split_clause,[],[f1222,f486,f403,f325]) ).

fof(f1222,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_31
    | spl15_49 ),
    inference(forward_demodulation,[],[f488,f405]) ).

fof(f1336,plain,
    ( ~ spl15_78
    | ~ spl15_82 ),
    inference(avatar_contradiction_clause,[],[f1335]) ).

fof(f1335,plain,
    ( $false
    | ~ spl15_78
    | ~ spl15_82 ),
    inference(subsumption_resolution,[],[f1334,f248]) ).

fof(f1334,plain,
    ( e2 = e3
    | ~ spl15_78
    | ~ spl15_82 ),
    inference(backward_demodulation,[],[f644,f624]) ).

fof(f1333,plain,
    ( ~ spl15_45
    | ~ spl15_31
    | spl15_39
    | ~ spl15_66 ),
    inference(avatar_split_clause,[],[f1287,f566,f438,f403,f465]) ).

fof(f1287,plain,
    ( e0 != op(e1,e2)
    | ~ spl15_31
    | spl15_39
    | ~ spl15_66 ),
    inference(forward_demodulation,[],[f1274,f405]) ).

fof(f1274,plain,
    ( e0 != op(op(e3,e3),e2)
    | spl15_39
    | ~ spl15_66 ),
    inference(backward_demodulation,[],[f440,f567]) ).

fof(f1330,plain,
    ( ~ spl15_10
    | ~ spl15_101 ),
    inference(avatar_contradiction_clause,[],[f1329]) ).

fof(f1329,plain,
    ( $false
    | ~ spl15_10
    | ~ spl15_101 ),
    inference(subsumption_resolution,[],[f1328,f250]) ).

fof(f1328,plain,
    ( e1 = e3
    | ~ spl15_10
    | ~ spl15_101 ),
    inference(forward_demodulation,[],[f773,f318]) ).

fof(f1324,plain,
    ( ~ spl15_84
    | ~ spl15_98 ),
    inference(avatar_split_clause,[],[f1323,f742,f651]) ).

fof(f1323,plain,
    ( e1 != op(e1,e3)
    | ~ spl15_98 ),
    inference(backward_demodulation,[],[f230,f744]) ).

fof(f1312,plain,
    ( ~ spl15_100
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f1311,f686,f755]) ).

fof(f1311,plain,
    ( e0 != op(e3,e1)
    | ~ spl15_90 ),
    inference(forward_demodulation,[],[f216,f688]) ).

fof(f1310,plain,
    ( ~ spl15_45
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f1309,f586,f465]) ).

fof(f1309,plain,
    ( e0 != op(e1,e2)
    | ~ spl15_70 ),
    inference(forward_demodulation,[],[f188,f588]) ).

fof(f1306,plain,
    ( ~ spl15_84
    | ~ spl15_31 ),
    inference(avatar_split_clause,[],[f1223,f403,f651]) ).

fof(f1223,plain,
    ( e1 != op(e1,e3)
    | ~ spl15_31 ),
    inference(forward_demodulation,[],[f208,f405]) ).

fof(f1305,plain,
    ( ~ spl15_98
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f1263,f551,f742]) ).

fof(f1263,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_63 ),
    inference(forward_demodulation,[],[f211,f553]) ).

fof(f211,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1294,plain,
    ( ~ spl15_100
    | ~ spl15_101 ),
    inference(avatar_contradiction_clause,[],[f1293]) ).

fof(f1293,plain,
    ( $false
    | ~ spl15_100
    | ~ spl15_101 ),
    inference(subsumption_resolution,[],[f1292,f245]) ).

fof(f1292,plain,
    ( e0 = e3
    | ~ spl15_100
    | ~ spl15_101 ),
    inference(forward_demodulation,[],[f773,f757]) ).

fof(f757,plain,
    ( e0 = op(e3,e1)
    | ~ spl15_100 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f1285,plain,
    ( spl15_58
    | ~ spl15_66
    | ~ spl15_76
    | ~ spl15_100 ),
    inference(avatar_contradiction_clause,[],[f1284]) ).

fof(f1284,plain,
    ( $false
    | spl15_58
    | ~ spl15_66
    | ~ spl15_76
    | ~ spl15_100 ),
    inference(subsumption_resolution,[],[f1279,f757]) ).

fof(f1279,plain,
    ( e0 != op(e3,e1)
    | spl15_58
    | ~ spl15_66
    | ~ spl15_76 ),
    inference(backward_demodulation,[],[f1241,f567]) ).

fof(f1241,plain,
    ( e0 != op(op(e2,e2),e1)
    | spl15_58
    | ~ spl15_76 ),
    inference(forward_demodulation,[],[f528,f615]) ).

fof(f1267,plain,
    ( ~ spl15_2
    | ~ spl15_3 ),
    inference(avatar_split_clause,[],[f1266,f286,f281]) ).

fof(f1266,plain,
    ( e1 != op(e2,e2)
    | ~ spl15_3 ),
    inference(forward_demodulation,[],[f204,f288]) ).

fof(f288,plain,
    ( e1 = op(e0,e2)
    | ~ spl15_3 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f1248,plain,
    ( ~ spl15_75
    | ~ spl15_76 ),
    inference(avatar_contradiction_clause,[],[f1247]) ).

fof(f1247,plain,
    ( $false
    | ~ spl15_75
    | ~ spl15_76 ),
    inference(subsumption_resolution,[],[f1246,f611]) ).

fof(f1246,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_76 ),
    inference(forward_demodulation,[],[f219,f615]) ).

fof(f1245,plain,
    ( ~ spl15_10
    | ~ spl15_100 ),
    inference(avatar_contradiction_clause,[],[f1244]) ).

fof(f1244,plain,
    ( $false
    | ~ spl15_10
    | ~ spl15_100 ),
    inference(subsumption_resolution,[],[f1243,f246]) ).

fof(f1243,plain,
    ( e0 = e1
    | ~ spl15_10
    | ~ spl15_100 ),
    inference(forward_demodulation,[],[f318,f757]) ).

fof(f1238,plain,
    ( ~ spl15_60
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f1237,f582,f535]) ).

fof(f1237,plain,
    ( e2 != op(e2,e2)
    | ~ spl15_69 ),
    inference(forward_demodulation,[],[f205,f584]) ).

fof(f1221,plain,
    ( ~ spl15_75
    | ~ spl15_87 ),
    inference(avatar_contradiction_clause,[],[f1220]) ).

fof(f1220,plain,
    ( $false
    | ~ spl15_75
    | ~ spl15_87 ),
    inference(subsumption_resolution,[],[f1219,f248]) ).

fof(f1219,plain,
    ( e2 = e3
    | ~ spl15_75
    | ~ spl15_87 ),
    inference(backward_demodulation,[],[f671,f611]) ).

fof(f1218,plain,
    ( ~ spl15_62
    | ~ spl15_82 ),
    inference(avatar_split_clause,[],[f1086,f642,f547]) ).

fof(f1086,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_82 ),
    inference(forward_demodulation,[],[f210,f644]) ).

fof(f1206,plain,
    ( ~ spl15_50
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f1205,f499,f491]) ).

fof(f1205,plain,
    ( e3 != op(e1,e3)
    | ~ spl15_52 ),
    inference(forward_demodulation,[],[f231,f501]) ).

fof(f1185,plain,
    ( ~ spl15_69
    | ~ spl15_71 ),
    inference(avatar_contradiction_clause,[],[f1184]) ).

fof(f1184,plain,
    ( $false
    | ~ spl15_69
    | ~ spl15_71 ),
    inference(subsumption_resolution,[],[f1183,f248]) ).

fof(f1183,plain,
    ( e2 = e3
    | ~ spl15_69
    | ~ spl15_71 ),
    inference(forward_demodulation,[],[f592,f584]) ).

fof(f1182,plain,
    ( ~ spl15_62
    | ~ spl15_64 ),
    inference(avatar_contradiction_clause,[],[f1181]) ).

fof(f1181,plain,
    ( $false
    | ~ spl15_62
    | ~ spl15_64 ),
    inference(subsumption_resolution,[],[f1180,f248]) ).

fof(f1180,plain,
    ( e2 = e3
    | ~ spl15_62
    | ~ spl15_64 ),
    inference(forward_demodulation,[],[f549,f557]) ).

fof(f1173,plain,
    ( ~ spl15_85
    | ~ spl15_100 ),
    inference(avatar_contradiction_clause,[],[f1172]) ).

fof(f1172,plain,
    ( $false
    | ~ spl15_85
    | ~ spl15_100 ),
    inference(subsumption_resolution,[],[f1171,f757]) ).

fof(f1171,plain,
    ( e0 != op(e3,e1)
    | ~ spl15_85 ),
    inference(forward_demodulation,[],[f203,f658]) ).

fof(f1169,plain,
    ( ~ spl15_5
    | ~ spl15_91 ),
    inference(avatar_split_clause,[],[f1168,f690,f294]) ).

fof(f1168,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_91 ),
    inference(forward_demodulation,[],[f204,f692]) ).

fof(f1156,plain,
    ( ~ spl15_32
    | ~ spl15_82 ),
    inference(avatar_contradiction_clause,[],[f1155]) ).

fof(f1155,plain,
    ( $false
    | ~ spl15_32
    | ~ spl15_82 ),
    inference(subsumption_resolution,[],[f1154,f250]) ).

fof(f1154,plain,
    ( e1 = e3
    | ~ spl15_32
    | ~ spl15_82 ),
    inference(backward_demodulation,[],[f644,f409]) ).

fof(f1149,plain,
    ( ~ spl15_34
    | spl15_14
    | ~ spl15_53
    | ~ spl15_85 ),
    inference(avatar_split_clause,[],[f1148,f657,f504,f333,f417]) ).

fof(f333,plain,
    ( spl15_14
  <=> e2 = op(op(op(e1,e1),op(e1,e1)),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).

fof(f1148,plain,
    ( e2 != op(e0,e1)
    | spl15_14
    | ~ spl15_53
    | ~ spl15_85 ),
    inference(forward_demodulation,[],[f1147,f658]) ).

fof(f1147,plain,
    ( e2 != op(op(e3,e3),e1)
    | spl15_14
    | ~ spl15_53 ),
    inference(forward_demodulation,[],[f335,f505]) ).

fof(f335,plain,
    ( e2 != op(op(op(e1,e1),op(e1,e1)),e1)
    | spl15_14 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f1143,plain,
    ( ~ spl15_56
    | ~ spl15_64 ),
    inference(avatar_split_clause,[],[f1142,f555,f517]) ).

fof(f1142,plain,
    ( e2 != op(e2,e3)
    | ~ spl15_64 ),
    inference(forward_demodulation,[],[f234,f557]) ).

fof(f1139,plain,
    ( ~ spl15_51
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f1138,f499,f495]) ).

fof(f1138,plain,
    ( e3 != op(e2,e3)
    | ~ spl15_52 ),
    inference(forward_demodulation,[],[f191,f501]) ).

fof(f1135,plain,
    ( ~ spl15_91
    | ~ spl15_45 ),
    inference(avatar_split_clause,[],[f1134,f465,f690]) ).

fof(f1134,plain,
    ( e0 != op(e2,e2)
    | ~ spl15_45 ),
    inference(forward_demodulation,[],[f192,f467]) ).

fof(f1130,plain,
    ( ~ spl15_83
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f1129,f755,f646]) ).

fof(f1129,plain,
    ( e0 != op(e3,e0)
    | ~ spl15_100 ),
    inference(forward_demodulation,[],[f228,f757]) ).

fof(f1125,plain,
    ( ~ spl15_74
    | ~ spl15_84 ),
    inference(avatar_contradiction_clause,[],[f1124]) ).

fof(f1124,plain,
    ( $false
    | ~ spl15_74
    | ~ spl15_84 ),
    inference(subsumption_resolution,[],[f1123,f247]) ).

fof(f1123,plain,
    ( e1 = e2
    | ~ spl15_74
    | ~ spl15_84 ),
    inference(forward_demodulation,[],[f607,f653]) ).

fof(f1115,plain,
    ( ~ spl15_83
    | ~ spl15_85 ),
    inference(avatar_split_clause,[],[f1114,f657,f646]) ).

fof(f1114,plain,
    ( e0 != op(e3,e0)
    | ~ spl15_85 ),
    inference(forward_demodulation,[],[f222,f658]) ).

fof(f1111,plain,
    ( ~ spl15_53
    | spl15_54
    | ~ spl15_85 ),
    inference(avatar_contradiction_clause,[],[f1110]) ).

fof(f1110,plain,
    ( $false
    | ~ spl15_53
    | spl15_54
    | ~ spl15_85 ),
    inference(subsumption_resolution,[],[f967,f658]) ).

fof(f967,plain,
    ( e0 != op(e3,e3)
    | ~ spl15_53
    | spl15_54 ),
    inference(forward_demodulation,[],[f510,f505]) ).

fof(f510,plain,
    ( e0 != op(op(e1,e1),op(e1,e1))
    | spl15_54 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f508,plain,
    ( spl15_54
  <=> e0 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_54])]) ).

fof(f1089,plain,
    ( ~ spl15_78
    | ~ spl15_79 ),
    inference(avatar_split_clause,[],[f1088,f626,f622]) ).

fof(f1088,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_79 ),
    inference(forward_demodulation,[],[f228,f628]) ).

fof(f1071,plain,
    ( ~ spl15_64
    | ~ spl15_75 ),
    inference(avatar_split_clause,[],[f1070,f609,f555]) ).

fof(f1070,plain,
    ( e2 != op(e2,e0)
    | ~ spl15_75 ),
    inference(forward_demodulation,[],[f211,f611]) ).

fof(f1069,plain,
    ( ~ spl15_80
    | ~ spl15_66 ),
    inference(avatar_split_clause,[],[f1007,f566,f632]) ).

fof(f1007,plain,
    ( e3 != op(e1,e2)
    | ~ spl15_66 ),
    inference(forward_demodulation,[],[f192,f567]) ).

fof(f1068,plain,
    ( ~ spl15_65
    | ~ spl15_90 ),
    inference(avatar_contradiction_clause,[],[f1067]) ).

fof(f1067,plain,
    ( $false
    | ~ spl15_65
    | ~ spl15_90 ),
    inference(subsumption_resolution,[],[f1066,f246]) ).

fof(f1066,plain,
    ( e0 = e1
    | ~ spl15_65
    | ~ spl15_90 ),
    inference(backward_demodulation,[],[f563,f688]) ).

fof(f1065,plain,
    ( ~ spl15_30
    | ~ spl15_71 ),
    inference(avatar_contradiction_clause,[],[f1064]) ).

fof(f1064,plain,
    ( $false
    | ~ spl15_30
    | ~ spl15_71 ),
    inference(subsumption_resolution,[],[f1063,f250]) ).

fof(f1063,plain,
    ( e1 = e3
    | ~ spl15_30
    | ~ spl15_71 ),
    inference(backward_demodulation,[],[f592,f401]) ).

fof(f1060,plain,
    ( ~ spl15_83
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f1059,f382,f646]) ).

fof(f1059,plain,
    ( e0 != op(e3,e0)
    | ~ spl15_26 ),
    inference(forward_demodulation,[],[f223,f383]) ).

fof(f1058,plain,
    ( ~ spl15_34
    | ~ spl15_79 ),
    inference(avatar_split_clause,[],[f1009,f626,f417]) ).

fof(f1009,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_79 ),
    inference(forward_demodulation,[],[f195,f628]) ).

fof(f1057,plain,
    ( ~ spl15_35
    | ~ spl15_65 ),
    inference(avatar_split_clause,[],[f1056,f561,f421]) ).

fof(f1056,plain,
    ( e1 != op(e0,e1)
    | ~ spl15_65 ),
    inference(forward_demodulation,[],[f218,f563]) ).

fof(f218,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1043,plain,
    ( ~ spl15_26
    | ~ spl15_36 ),
    inference(avatar_contradiction_clause,[],[f1042]) ).

fof(f1042,plain,
    ( $false
    | ~ spl15_26
    | ~ spl15_36 ),
    inference(subsumption_resolution,[],[f904,f383]) ).

fof(f904,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_36 ),
    inference(backward_demodulation,[],[f193,f427]) ).

fof(f193,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1040,plain,
    ( ~ spl15_51
    | ~ spl15_57 ),
    inference(avatar_contradiction_clause,[],[f1039]) ).

fof(f1039,plain,
    ( $false
    | ~ spl15_51
    | ~ spl15_57 ),
    inference(subsumption_resolution,[],[f1038,f250]) ).

fof(f1038,plain,
    ( e1 = e3
    | ~ spl15_51
    | ~ spl15_57 ),
    inference(forward_demodulation,[],[f497,f523]) ).

fof(f497,plain,
    ( e3 = op(e2,e3)
    | ~ spl15_51 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f1019,plain,
    ( ~ spl15_44
    | ~ spl15_84 ),
    inference(avatar_contradiction_clause,[],[f1018]) ).

fof(f1018,plain,
    ( $false
    | ~ spl15_44
    | ~ spl15_84 ),
    inference(subsumption_resolution,[],[f1017,f246]) ).

fof(f1017,plain,
    ( e0 = e1
    | ~ spl15_44
    | ~ spl15_84 ),
    inference(backward_demodulation,[],[f653,f463]) ).

fof(f1016,plain,
    ( ~ spl15_61
    | ~ spl15_62 ),
    inference(avatar_contradiction_clause,[],[f1015]) ).

fof(f1015,plain,
    ( $false
    | ~ spl15_61
    | ~ spl15_62 ),
    inference(subsumption_resolution,[],[f1014,f245]) ).

fof(f1014,plain,
    ( e0 = e3
    | ~ spl15_61
    | ~ spl15_62 ),
    inference(forward_demodulation,[],[f549,f545]) ).

fof(f1005,plain,
    ( ~ spl15_56
    | ~ spl15_57 ),
    inference(avatar_contradiction_clause,[],[f1004]) ).

fof(f1004,plain,
    ( $false
    | ~ spl15_56
    | ~ spl15_57 ),
    inference(subsumption_resolution,[],[f1003,f247]) ).

fof(f1003,plain,
    ( e1 = e2
    | ~ spl15_56
    | ~ spl15_57 ),
    inference(backward_demodulation,[],[f519,f523]) ).

fof(f991,plain,
    ( ~ spl15_84
    | ~ spl15_47 ),
    inference(avatar_split_clause,[],[f990,f476,f651]) ).

fof(f990,plain,
    ( e1 != op(e1,e3)
    | ~ spl15_47 ),
    inference(backward_demodulation,[],[f206,f478]) ).

fof(f206,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f986,plain,
    ( ~ spl15_70
    | ~ spl15_71 ),
    inference(avatar_contradiction_clause,[],[f985]) ).

fof(f985,plain,
    ( $false
    | ~ spl15_70
    | ~ spl15_71 ),
    inference(subsumption_resolution,[],[f984,f245]) ).

fof(f984,plain,
    ( e0 = e3
    | ~ spl15_70
    | ~ spl15_71 ),
    inference(forward_demodulation,[],[f592,f588]) ).

fof(f979,plain,
    ( ~ spl15_100
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f978,f586,f755]) ).

fof(f978,plain,
    ( e0 != op(e3,e1)
    | ~ spl15_70 ),
    inference(forward_demodulation,[],[f233,f588]) ).

fof(f974,plain,
    ( ~ spl15_73
    | ~ spl15_75 ),
    inference(avatar_split_clause,[],[f972,f609,f601]) ).

fof(f972,plain,
    ( e2 != op(e1,e2)
    | ~ spl15_75 ),
    inference(backward_demodulation,[],[f212,f611]) ).

fof(f964,plain,
    ( ~ spl15_10
    | ~ spl15_65 ),
    inference(avatar_split_clause,[],[f963,f561,f316]) ).

fof(f963,plain,
    ( e1 != op(e3,e1)
    | ~ spl15_65 ),
    inference(forward_demodulation,[],[f216,f563]) ).

fof(f962,plain,
    ( ~ spl15_4
    | ~ spl15_6 ),
    inference(avatar_contradiction_clause,[],[f961]) ).

fof(f961,plain,
    ( $false
    | ~ spl15_4
    | ~ spl15_6 ),
    inference(subsumption_resolution,[],[f960,f248]) ).

fof(f960,plain,
    ( e2 = e3
    | ~ spl15_4
    | ~ spl15_6 ),
    inference(forward_demodulation,[],[f300,f292]) ).

fof(f300,plain,
    ( e3 = op(e0,e2)
    | ~ spl15_6 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f955,plain,
    ( ~ spl15_77
    | ~ spl15_53
    | spl15_59 ),
    inference(avatar_split_clause,[],[f954,f530,f504,f618]) ).

fof(f954,plain,
    ( e2 != op(e3,e3)
    | ~ spl15_53
    | spl15_59 ),
    inference(forward_demodulation,[],[f532,f505]) ).

fof(f532,plain,
    ( e2 != op(op(e1,e1),op(e1,e1))
    | spl15_59 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f945,plain,
    ( ~ spl15_69
    | ~ spl15_70 ),
    inference(avatar_contradiction_clause,[],[f944]) ).

fof(f944,plain,
    ( $false
    | ~ spl15_69
    | ~ spl15_70 ),
    inference(subsumption_resolution,[],[f943,f249]) ).

fof(f943,plain,
    ( e0 = e2
    | ~ spl15_69
    | ~ spl15_70 ),
    inference(backward_demodulation,[],[f584,f588]) ).

fof(f942,plain,
    ( ~ spl15_55
    | ~ spl15_57 ),
    inference(avatar_contradiction_clause,[],[f941]) ).

fof(f941,plain,
    ( $false
    | ~ spl15_55
    | ~ spl15_57 ),
    inference(subsumption_resolution,[],[f940,f246]) ).

fof(f940,plain,
    ( e0 = e1
    | ~ spl15_55
    | ~ spl15_57 ),
    inference(forward_demodulation,[],[f523,f515]) ).

fof(f939,plain,
    ( ~ spl15_1
    | ~ spl15_60 ),
    inference(avatar_split_clause,[],[f938,f535,f277]) ).

fof(f938,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_60 ),
    inference(backward_demodulation,[],[f197,f536]) ).

fof(f934,plain,
    ( ~ spl15_51
    | ~ spl15_55 ),
    inference(avatar_contradiction_clause,[],[f933]) ).

fof(f933,plain,
    ( $false
    | ~ spl15_51
    | ~ spl15_55 ),
    inference(subsumption_resolution,[],[f932,f245]) ).

fof(f932,plain,
    ( e0 = e3
    | ~ spl15_51
    | ~ spl15_55 ),
    inference(forward_demodulation,[],[f497,f515]) ).

fof(f931,plain,
    ( ~ spl15_36
    | ~ spl15_37 ),
    inference(avatar_contradiction_clause,[],[f930]) ).

fof(f930,plain,
    ( $false
    | ~ spl15_36
    | ~ spl15_37 ),
    inference(subsumption_resolution,[],[f929,f245]) ).

fof(f929,plain,
    ( e0 = e3
    | ~ spl15_36
    | ~ spl15_37 ),
    inference(forward_demodulation,[],[f431,f427]) ).

fof(f928,plain,
    ( ~ spl15_34
    | ~ spl15_36 ),
    inference(avatar_contradiction_clause,[],[f927]) ).

fof(f927,plain,
    ( $false
    | ~ spl15_34
    | ~ spl15_36 ),
    inference(subsumption_resolution,[],[f926,f249]) ).

fof(f926,plain,
    ( e0 = e2
    | ~ spl15_34
    | ~ spl15_36 ),
    inference(forward_demodulation,[],[f419,f427]) ).

fof(f915,plain,
    ( ~ spl15_3
    | ~ spl15_6 ),
    inference(avatar_contradiction_clause,[],[f914]) ).

fof(f914,plain,
    ( $false
    | ~ spl15_3
    | ~ spl15_6 ),
    inference(subsumption_resolution,[],[f913,f250]) ).

fof(f913,plain,
    ( e1 = e3
    | ~ spl15_3
    | ~ spl15_6 ),
    inference(forward_demodulation,[],[f300,f288]) ).

fof(f912,plain,
    ( ~ spl15_3
    | ~ spl15_4 ),
    inference(avatar_contradiction_clause,[],[f911]) ).

fof(f911,plain,
    ( $false
    | ~ spl15_3
    | ~ spl15_4 ),
    inference(subsumption_resolution,[],[f910,f247]) ).

fof(f910,plain,
    ( e1 = e2
    | ~ spl15_3
    | ~ spl15_4 ),
    inference(backward_demodulation,[],[f292,f288]) ).

fof(f909,plain,
    ( ~ spl15_55
    | ~ spl15_56 ),
    inference(avatar_contradiction_clause,[],[f908]) ).

fof(f908,plain,
    ( $false
    | ~ spl15_55
    | ~ spl15_56 ),
    inference(subsumption_resolution,[],[f907,f249]) ).

fof(f907,plain,
    ( e0 = e2
    | ~ spl15_55
    | ~ spl15_56 ),
    inference(backward_demodulation,[],[f519,f515]) ).

fof(f906,plain,
    ( ~ spl15_46
    | ~ spl15_36 ),
    inference(avatar_split_clause,[],[f903,f425,f470]) ).

fof(f903,plain,
    ( e0 != op(e0,e3)
    | ~ spl15_36 ),
    inference(backward_demodulation,[],[f227,f427]) ).

fof(f892,plain,
    ( ~ spl15_68
    | ~ spl15_64 ),
    inference(avatar_split_clause,[],[f890,f555,f576]) ).

fof(f890,plain,
    ( op(e0,e0) != e2
    | ~ spl15_64 ),
    inference(backward_demodulation,[],[f229,f557]) ).

fof(f882,plain,
    ( ~ spl15_98
    | ~ spl15_40 ),
    inference(avatar_split_clause,[],[f877,f443,f742]) ).

fof(f877,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_40 ),
    inference(backward_demodulation,[],[f219,f444]) ).

fof(f880,plain,
    ( ~ spl15_47
    | ~ spl15_40 ),
    inference(avatar_split_clause,[],[f876,f443,f476]) ).

fof(f876,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_40 ),
    inference(backward_demodulation,[],[f189,f444]) ).

fof(f879,plain,
    ( ~ spl15_35
    | ~ spl15_40 ),
    inference(avatar_split_clause,[],[f874,f443,f421]) ).

fof(f874,plain,
    ( e1 != op(e0,e1)
    | ~ spl15_40 ),
    inference(backward_demodulation,[],[f202,f444]) ).

fof(f871,plain,
    ( ~ spl15_40
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f867,f316,f443]) ).

fof(f867,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_10 ),
    inference(backward_demodulation,[],[f235,f318]) ).

fof(f235,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f863,plain,
    ( ~ spl15_99
    | ~ spl15_4 ),
    inference(avatar_split_clause,[],[f858,f290,f747]) ).

fof(f858,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_4 ),
    inference(backward_demodulation,[],[f196,f292]) ).

fof(f851,plain,
    ( ~ spl15_99
    | ~ spl15_56 ),
    inference(avatar_split_clause,[],[f847,f517,f747]) ).

fof(f847,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_56 ),
    inference(backward_demodulation,[],[f191,f519]) ).

fof(f841,plain,
    ( ~ spl15_98
    | ~ spl15_32 ),
    inference(avatar_split_clause,[],[f837,f407,f742]) ).

fof(f837,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_32 ),
    inference(backward_demodulation,[],[f207,f409]) ).

fof(f839,plain,
    ( ~ spl15_30
    | ~ spl15_32 ),
    inference(avatar_split_clause,[],[f834,f407,f399]) ).

fof(f834,plain,
    ( e1 != op(e3,e2)
    | ~ spl15_32 ),
    inference(backward_demodulation,[],[f213,f409]) ).

fof(f838,plain,
    ( ~ spl15_63
    | ~ spl15_32 ),
    inference(avatar_split_clause,[],[f835,f407,f551]) ).

fof(f835,plain,
    ( e1 != op(e2,e0)
    | ~ spl15_32 ),
    inference(backward_demodulation,[],[f210,f409]) ).

fof(f827,plain,
    ( ~ spl15_51
    | ~ spl15_33 ),
    inference(avatar_split_clause,[],[f821,f412,f495]) ).

fof(f821,plain,
    ( e3 != op(e2,e3)
    | ~ spl15_33 ),
    inference(backward_demodulation,[],[f199,f414]) ).

fof(f820,plain,
    ( ~ spl15_18
    | spl15_51 ),
    inference(avatar_split_clause,[],[f97,f495,f350]) ).

fof(f350,plain,
    ( spl15_18
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).

fof(f97,plain,
    ( e3 = op(e2,e3)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ( ( e3 = op(e2,e3)
      & e3 = op(e3,e2)
      & e2 != op(e2,e2) )
    | ~ sP11 ),
    inference(nnf_transformation,[],[f65]) ).

fof(f65,plain,
    ( ( e3 = op(e2,e3)
      & e3 = op(e3,e2)
      & e2 != op(e2,e2) )
    | ~ sP11 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f819,plain,
    ( spl15_4
    | spl15_99
    | spl15_34
    | spl15_68 ),
    inference(avatar_split_clause,[],[f184,f576,f417,f747,f290]) ).

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

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

fof(f818,plain,
    ( spl15_101
    | spl15_37
    | spl15_53
    | spl15_95 ),
    inference(avatar_split_clause,[],[f168,f724,f504,f429,f771]) ).

fof(f168,plain,
    ( e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1)
    | e3 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f817,plain,
    ( spl15_60
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f102,f366,f535]) ).

fof(f366,plain,
    ( spl15_22
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).

fof(f102,plain,
    ( ~ sP9
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ( ( e2 = op(e2,e2)
      & e2 = op(e2,e2)
      & e2 != op(e2,e2) )
    | ~ sP9 ),
    inference(nnf_transformation,[],[f63]) ).

fof(f63,plain,
    ( ( e2 = op(e2,e2)
      & e2 = op(e2,e2)
      & e2 != op(e2,e2) )
    | ~ sP9 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f816,plain,
    ( ~ spl15_8
    | spl15_46 ),
    inference(avatar_split_clause,[],[f132,f470,f307]) ).

fof(f132,plain,
    ( e0 = op(e0,e3)
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ( ( e2 = op(e2,e2)
      | e1 = op(e1,e1)
      | e0 = op(e0,e0)
      | e3 = op(e3,e3) )
    & ( e2 = op(e2,e3)
      | e3 != op(e2,e2) )
    & ( e0 != op(e2,e2)
      | e2 = op(e2,e0) )
    & ( e0 != op(e3,e3)
      | e3 = op(e3,e0) )
    & ( e0 != op(e0,e0)
      | e0 = op(e0,e0) )
    & ( e1 != op(e1,e1)
      | e1 = op(e1,e1) )
    & ( ( e1 = op(e1,e0)
        & e0 != op(e0,e0)
        & e1 = op(e0,e1) )
      | sP14
      | sP13
      | sP12
      | sP11
      | sP10
      | sP9
      | sP8
      | sP7
      | sP6
      | sP5
      | sP4
      | sP3
      | sP2
      | sP1
      | sP0 )
    & ( e3 = op(e3,e2)
      | e2 != op(e3,e3) )
    & ( e3 != op(e1,e1)
      | e1 = op(e1,e3) )
    & ( e2 = op(e2,e2)
      | e2 != op(e2,e2) )
    & ( e0 != op(e1,e1)
      | e1 = op(e1,e0) )
    & ( e2 = op(e2,e1)
      | e1 != op(e2,e2) )
    & ( e3 = op(e3,e1)
      | e1 != op(e3,e3) )
    & ( e3 != op(e3,e3)
      | e3 = op(e3,e3) )
    & ( e0 = op(e0,e1)
      | op(e0,e0) != e1 )
    & ( e1 = op(e1,e2)
      | e2 != op(e1,e1) )
    & ( e0 = op(e0,e3)
      | op(e0,e0) != e3 )
    & ( op(e0,e0) != e2
      | e0 = op(e0,e2) ) ),
    inference(definition_folding,[],[f5,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54]) ).

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

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

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

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

fof(f58,plain,
    ( ( e0 = op(e0,e0)
      & e0 != op(e0,e0)
      & e0 = op(e0,e0) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f59,plain,
    ( ( e1 != op(e1,e1)
      & e0 = op(e1,e0)
      & e0 = op(e0,e1) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f60,plain,
    ( ( e3 = op(e1,e3)
      & e1 != op(e1,e1)
      & e3 = op(e3,e1) )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f61,plain,
    ( ( e3 = op(e3,e3)
      & e3 != op(e3,e3)
      & e3 = op(e3,e3) )
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f62,plain,
    ( ( e2 = op(e0,e2)
      & e0 != op(e0,e0)
      & e2 = op(e2,e0) )
    | ~ sP8 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f64,plain,
    ( ( e0 = op(e0,e2)
      & e0 = op(e2,e0)
      & e2 != op(e2,e2) )
    | ~ sP10 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f66,plain,
    ( ( e3 != op(e3,e3)
      & e0 = op(e0,e3)
      & e0 = op(e3,e0) )
    | ~ sP12 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f67,plain,
    ( ( e2 = op(e2,e1)
      & e1 != op(e1,e1)
      & e2 = op(e1,e2) )
    | ~ sP13 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f68,plain,
    ( ( e1 = op(e1,e3)
      & e1 = op(e3,e1)
      & e3 != op(e3,e3) )
    | ~ sP14 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

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

fof(f815,plain,
    ( spl15_60
    | spl15_2
    | spl15_91
    | spl15_66 ),
    inference(avatar_split_clause,[],[f259,f566,f690,f281,f535]) ).

fof(f259,plain,
    ( e3 = op(e2,e2)
    | e0 = op(e2,e2)
    | e1 = op(e2,e2)
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f813,plain,
    ( ~ spl15_91
    | spl15_64 ),
    inference(avatar_split_clause,[],[f148,f555,f690]) ).

fof(f148,plain,
    ( e2 = op(e2,e0)
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f812,plain,
    ( ~ spl15_91
    | ~ spl15_67
    | ~ spl15_41 ),
    inference(avatar_split_clause,[],[f253,f448,f570,f690]) ).

fof(f253,plain,
    ( e3 != op(op(op(e2,e2),op(e2,e2)),e2)
    | e1 != op(op(e2,e2),op(e2,e2))
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( e3 != op(op(op(e2,e2),op(e2,e2)),e2)
    | e0 != op(e2,e2)
    | e1 != op(op(e2,e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f7]) ).

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

fof(f811,plain,
    ( ~ spl15_23
    | spl15_82 ),
    inference(avatar_split_clause,[],[f123,f642,f370]) ).

fof(f370,plain,
    ( spl15_23
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).

fof(f123,plain,
    ( e3 = op(e3,e0)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ( ( e0 != op(e0,e0)
      & e3 = op(e3,e0)
      & e3 = op(e0,e3) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f56]) ).

fof(f810,plain,
    ( ~ spl15_77
    | spl15_71 ),
    inference(avatar_split_clause,[],[f141,f590,f618]) ).

fof(f141,plain,
    ( e3 = op(e3,e2)
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f809,plain,
    ( ~ spl15_7
    | ~ spl15_94
    | ~ spl15_88 ),
    inference(avatar_split_clause,[],[f244,f675,f716,f303]) ).

fof(f244,plain,
    ( op(e0,e0) != e1
    | e3 != op(op(e0,e0),op(e0,e0))
    | e2 != op(op(op(e0,e0),op(e0,e0)),e0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ( op(e0,e0) != e1
    | e3 != op(op(e0,e0),op(e0,e0))
    | e2 != op(op(op(e0,e0),op(e0,e0)),e0) ),
    inference(ennf_transformation,[],[f17]) ).

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

fof(f808,plain,
    ( ~ spl15_21
    | ~ spl15_33 ),
    inference(avatar_split_clause,[],[f130,f412,f362]) ).

fof(f362,plain,
    ( spl15_21
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).

fof(f130,plain,
    ( e3 != op(e3,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ( ( e3 != op(e3,e3)
      & e2 = op(e3,e2)
      & e2 = op(e2,e3) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f54]) ).

fof(f807,plain,
    ( spl15_84
    | ~ spl15_11 ),
    inference(avatar_split_clause,[],[f88,f320,f651]) ).

fof(f320,plain,
    ( spl15_11
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).

fof(f88,plain,
    ( ~ sP14
    | e1 = op(e1,e3) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ( ( e1 = op(e1,e3)
      & e1 = op(e3,e1)
      & e3 != op(e3,e3) )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f68]) ).

fof(f806,plain,
    ( ~ spl15_27
    | spl15_101 ),
    inference(avatar_split_clause,[],[f110,f771,f386]) ).

fof(f386,plain,
    ( spl15_27
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).

fof(f110,plain,
    ( e3 = op(e3,e1)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ( ( e3 = op(e1,e3)
      & e1 != op(e1,e1)
      & e3 = op(e3,e1) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f60]) ).

fof(f805,plain,
    ( ~ spl15_58
    | ~ spl15_13
    | ~ spl15_76 ),
    inference(avatar_split_clause,[],[f239,f613,f329,f526]) ).

fof(f239,plain,
    ( e2 != op(e1,e1)
    | e3 != op(op(e1,e1),op(e1,e1))
    | e0 != op(op(op(e1,e1),op(e1,e1)),e1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ( e0 != op(op(op(e1,e1),op(e1,e1)),e1)
    | e2 != op(e1,e1)
    | e3 != op(op(e1,e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ~ ( e3 = op(op(e1,e1),op(e1,e1))
      & e0 = op(op(op(e1,e1),op(e1,e1)),e1)
      & e2 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

fof(f804,plain,
    ( ~ spl15_23
    | spl15_52 ),
    inference(avatar_split_clause,[],[f122,f499,f370]) ).

fof(f122,plain,
    ( e3 = op(e0,e3)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f802,plain,
    ( spl15_26
    | spl15_33
    | spl15_40
    | spl15_60 ),
    inference(avatar_split_clause,[],[f150,f535,f443,f412,f382]) ).

fof(f150,plain,
    ( e2 = op(e2,e2)
    | e1 = op(e1,e1)
    | e3 = op(e3,e3)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f801,plain,
    ( ~ spl15_97
    | ~ spl15_77
    | ~ spl15_49 ),
    inference(avatar_split_clause,[],[f252,f486,f618,f735]) ).

fof(f252,plain,
    ( e0 != op(op(e3,e3),op(e3,e3))
    | e2 != op(e3,e3)
    | e1 != op(op(op(e3,e3),op(e3,e3)),e3) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ( e2 != op(e3,e3)
    | e0 != op(op(e3,e3),op(e3,e3))
    | e1 != op(op(op(e3,e3),op(e3,e3)),e3) ),
    inference(ennf_transformation,[],[f18]) ).

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

fof(f800,plain,
    ( ~ spl15_86
    | ~ spl15_77
    | ~ spl15_103 ),
    inference(avatar_split_clause,[],[f236,f797,f618,f661]) ).

fof(f236,plain,
    ( e0 != op(op(op(e3,e3),op(e3,e3)),e3)
    | e2 != op(e3,e3)
    | e1 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ( e0 != op(op(op(e3,e3),op(e3,e3)),e3)
    | e2 != op(e3,e3)
    | e1 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f20]) ).

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

fof(f795,plain,
    ( ~ spl15_93
    | ~ spl15_88
    | ~ spl15_81 ),
    inference(avatar_split_clause,[],[f237,f637,f675,f711]) ).

fof(f237,plain,
    ( e3 != op(op(op(e0,e0),op(e0,e0)),e0)
    | op(e0,e0) != e1
    | e2 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( e3 != op(op(op(e0,e0),op(e0,e0)),e0)
    | op(e0,e0) != e1
    | e2 != op(op(e0,e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ~ ( e2 = op(op(e0,e0),op(e0,e0))
      & op(e0,e0) = e1
      & e3 = op(op(op(e0,e0),op(e0,e0)),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f794,plain,
    ( spl15_12
    | spl15_90
    | spl15_100
    | spl15_36 ),
    inference(avatar_split_clause,[],[f165,f425,f755,f686,f325]) ).

fof(f165,plain,
    ( e0 = op(e0,e1)
    | e0 = op(e3,e1)
    | e0 = op(e2,e1)
    | e0 = op(e1,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f793,plain,
    ( spl15_75
    | spl15_68
    | spl15_64
    | spl15_78 ),
    inference(avatar_split_clause,[],[f174,f622,f555,f576,f609]) ).

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

fof(f792,plain,
    ( spl15_88
    | spl15_63
    | spl15_32
    | spl15_98 ),
    inference(avatar_split_clause,[],[f185,f742,f407,f551,f675]) ).

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

fof(f791,plain,
    ( ~ spl15_88
    | spl15_36 ),
    inference(avatar_split_clause,[],[f134,f425,f675]) ).

fof(f134,plain,
    ( e0 = op(e0,e1)
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f790,plain,
    ( spl15_101
    | ~ spl15_31 ),
    inference(avatar_split_clause,[],[f136,f403,f771]) ).

fof(f136,plain,
    ( e1 != op(e3,e3)
    | e3 = op(e3,e1) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f789,plain,
    ( ~ spl15_85
    | spl15_82 ),
    inference(avatar_split_clause,[],[f147,f642,f657]) ).

fof(f147,plain,
    ( e3 = op(e3,e0)
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f788,plain,
    ( ~ spl15_33
    | ~ spl15_25 ),
    inference(avatar_split_clause,[],[f108,f378,f412]) ).

fof(f378,plain,
    ( spl15_25
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).

fof(f108,plain,
    ( ~ sP7
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ( ( e3 = op(e3,e3)
      & e3 != op(e3,e3)
      & e3 = op(e3,e3) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f61]) ).

fof(f787,plain,
    ( spl15_50
    | spl15_84
    | spl15_44
    | spl15_74 ),
    inference(avatar_split_clause,[],[f260,f605,f461,f651,f491]) ).

fof(f260,plain,
    ( e2 = op(e1,e3)
    | e0 = op(e1,e3)
    | e1 = op(e1,e3)
    | e3 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f780,plain,
    ( ~ spl15_19
    | spl15_4 ),
    inference(avatar_split_clause,[],[f106,f290,f354]) ).

fof(f354,plain,
    ( spl15_19
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).

fof(f106,plain,
    ( e2 = op(e0,e2)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ( ( e2 = op(e0,e2)
      & e0 != op(e0,e0)
      & e2 = op(e2,e0) )
    | ~ sP8 ),
    inference(nnf_transformation,[],[f62]) ).

fof(f779,plain,
    ( spl15_82
    | spl15_33
    | spl15_71
    | spl15_101 ),
    inference(avatar_split_clause,[],[f157,f771,f590,f412,f642]) ).

fof(f157,plain,
    ( e3 = op(e3,e1)
    | e3 = op(e3,e2)
    | e3 = op(e3,e3)
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f778,plain,
    ( ~ spl15_16
    | spl15_36 ),
    inference(avatar_split_clause,[],[f113,f425,f342]) ).

fof(f342,plain,
    ( spl15_16
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).

fof(f113,plain,
    ( e0 = op(e0,e1)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ( ( e1 != op(e1,e1)
      & e0 = op(e1,e0)
      & e0 = op(e0,e1) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f59]) ).

fof(f777,plain,
    ( spl15_53
    | spl15_76
    | spl15_40
    | spl15_12 ),
    inference(avatar_split_clause,[],[f263,f325,f443,f613,f504]) ).

fof(f263,plain,
    ( e0 = op(e1,e1)
    | e1 = op(e1,e1)
    | e2 = op(e1,e1)
    | e3 = op(e1,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f776,plain,
    ( spl15_55
    | spl15_85
    | spl15_46
    | spl15_44 ),
    inference(avatar_split_clause,[],[f172,f461,f470,f657,f513]) ).

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

fof(f774,plain,
    ( spl15_79
    | spl15_100
    | spl15_10
    | spl15_101 ),
    inference(avatar_split_clause,[],[f258,f771,f316,f755,f626]) ).

fof(f258,plain,
    ( e3 = op(e3,e1)
    | e1 = op(e3,e1)
    | e0 = op(e3,e1)
    | e2 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f769,plain,
    ( spl15_43
    | spl15_87
    | spl15_98
    | spl15_75 ),
    inference(avatar_split_clause,[],[f269,f609,f742,f669,f457]) ).

fof(f269,plain,
    ( e2 = op(e1,e0)
    | e1 = op(e1,e0)
    | e3 = op(e1,e0)
    | e0 = op(e1,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f768,plain,
    ( spl15_19
    | spl15_20
    | spl15_24
    | spl15_16
    | spl15_23
    | spl15_18
    | spl15_21
    | spl15_25
    | spl15_29
    | spl15_11
    | spl15_17
    | spl15_98
    | spl15_15
    | spl15_27
    | spl15_22
    | spl15_28 ),
    inference(avatar_split_clause,[],[f144,f390,f366,f386,f338,f742,f346,f320,f394,f378,f362,f350,f370,f342,f374,f358,f354]) ).

fof(f358,plain,
    ( spl15_20
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).

fof(f374,plain,
    ( spl15_24
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).

fof(f394,plain,
    ( spl15_29
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).

fof(f346,plain,
    ( spl15_17
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).

fof(f338,plain,
    ( spl15_15
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).

fof(f390,plain,
    ( spl15_28
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).

fof(f144,plain,
    ( sP12
    | sP9
    | sP6
    | sP13
    | e1 = op(e1,e0)
    | sP3
    | sP14
    | sP10
    | sP7
    | sP0
    | sP11
    | sP2
    | sP5
    | sP4
    | sP1
    | sP8 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f767,plain,
    ( spl15_90
    | spl15_95
    | spl15_65
    | spl15_1 ),
    inference(avatar_split_clause,[],[f265,f277,f561,f724,f686]) ).

fof(f265,plain,
    ( e2 = op(e2,e1)
    | e1 = op(e2,e1)
    | e3 = op(e2,e1)
    | e0 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f766,plain,
    ( ~ spl15_33
    | ~ spl15_28 ),
    inference(avatar_split_clause,[],[f94,f390,f412]) ).

fof(f94,plain,
    ( ~ sP12
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ( ( e3 != op(e3,e3)
      & e0 = op(e0,e3)
      & e0 = op(e3,e0) )
    | ~ sP12 ),
    inference(nnf_transformation,[],[f66]) ).

fof(f764,plain,
    ( spl15_52
    | spl15_46
    | spl15_99
    | spl15_89 ),
    inference(avatar_split_clause,[],[f256,f679,f747,f470,f499]) ).

fof(f256,plain,
    ( e1 = op(e0,e3)
    | e2 = op(e0,e3)
    | e0 = op(e0,e3)
    | e3 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f763,plain,
    ( spl15_76
    | spl15_34
    | spl15_1
    | spl15_79 ),
    inference(avatar_split_clause,[],[f162,f626,f277,f417,f613]) ).

fof(f162,plain,
    ( e2 = op(e3,e1)
    | e2 = op(e2,e1)
    | e2 = op(e0,e1)
    | e2 = op(e1,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f762,plain,
    ( spl15_43
    | ~ spl15_16 ),
    inference(avatar_split_clause,[],[f114,f342,f457]) ).

fof(f114,plain,
    ( ~ sP5
    | e0 = op(e1,e0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f761,plain,
    ( spl15_6
    | spl15_66
    | spl15_80
    | spl15_71 ),
    inference(avatar_split_clause,[],[f160,f590,f632,f566,f298]) ).

fof(f160,plain,
    ( e3 = op(e3,e2)
    | e3 = op(e1,e2)
    | e3 = op(e2,e2)
    | e3 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f760,plain,
    ( ~ spl15_18
    | ~ spl15_60 ),
    inference(avatar_split_clause,[],[f95,f535,f350]) ).

fof(f95,plain,
    ( e2 != op(e2,e2)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f73]) ).

fof(f759,plain,
    ( spl15_31
    | spl15_57
    | spl15_89
    | spl15_84 ),
    inference(avatar_split_clause,[],[f163,f651,f679,f521,f403]) ).

fof(f163,plain,
    ( e1 = op(e1,e3)
    | e1 = op(e0,e3)
    | e1 = op(e2,e3)
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f758,plain,
    ( spl15_100
    | spl15_83
    | spl15_70
    | spl15_85 ),
    inference(avatar_split_clause,[],[f169,f657,f586,f646,f755]) ).

fof(f169,plain,
    ( e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | e0 = op(e3,e0)
    | e0 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f753,plain,
    ( ~ spl15_60
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f98,f394,f535]) ).

fof(f98,plain,
    ( ~ sP10
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ( ( e0 = op(e0,e2)
      & e0 = op(e2,e0)
      & e2 != op(e2,e2) )
    | ~ sP10 ),
    inference(nnf_transformation,[],[f64]) ).

fof(f752,plain,
    ( spl15_85
    | spl15_77
    | spl15_31
    | spl15_33 ),
    inference(avatar_split_clause,[],[f254,f412,f403,f618,f657]) ).

fof(f254,plain,
    ( e3 = op(e3,e3)
    | e1 = op(e3,e3)
    | e2 = op(e3,e3)
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f751,plain,
    ( spl15_47
    | ~ spl15_76 ),
    inference(avatar_split_clause,[],[f133,f613,f476]) ).

fof(f133,plain,
    ( e2 != op(e1,e1)
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f750,plain,
    ( spl15_77
    | spl15_74
    | spl15_99
    | spl15_56 ),
    inference(avatar_split_clause,[],[f173,f517,f747,f605,f618]) ).

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

fof(f745,plain,
    ( ~ spl15_12
    | spl15_98 ),
    inference(avatar_split_clause,[],[f138,f742,f325]) ).

fof(f138,plain,
    ( e1 = op(e1,e0)
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f740,plain,
    ( spl15_16
    | spl15_28
    | spl15_11
    | spl15_27
    | spl15_29
    | spl15_15
    | spl15_24
    | spl15_18
    | spl15_19
    | spl15_20
    | spl15_35
    | spl15_25
    | spl15_22
    | spl15_21
    | spl15_17
    | spl15_23 ),
    inference(avatar_split_clause,[],[f142,f370,f346,f362,f366,f378,f421,f358,f354,f350,f374,f338,f394,f386,f320,f390,f342]) ).

fof(f142,plain,
    ( sP2
    | sP3
    | sP0
    | sP9
    | sP7
    | e1 = op(e0,e1)
    | sP1
    | sP8
    | sP11
    | sP4
    | sP13
    | sP10
    | sP6
    | sP14
    | sP12
    | sP5 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f739,plain,
    ( ~ spl15_22
    | ~ spl15_60 ),
    inference(avatar_split_clause,[],[f101,f535,f366]) ).

fof(f101,plain,
    ( e2 != op(e2,e2)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f738,plain,
    ( ~ spl15_85
    | ~ spl15_96
    | ~ spl15_97 ),
    inference(avatar_split_clause,[],[f272,f735,f731,f657]) ).

fof(f272,plain,
    ( e1 != op(op(op(e3,e3),op(e3,e3)),e3)
    | e2 != op(op(e3,e3),op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ( e1 != op(op(op(e3,e3),op(e3,e3)),e3)
    | e2 != op(op(e3,e3),op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ~ ( e0 = op(e3,e3)
      & e1 = op(op(op(e3,e3),op(e3,e3)),e3)
      & e2 = op(op(e3,e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).

fof(f729,plain,
    ( spl15_33
    | ~ spl15_25 ),
    inference(avatar_split_clause,[],[f107,f378,f412]) ).

fof(f107,plain,
    ( ~ sP7
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f728,plain,
    ( spl15_69
    | ~ spl15_21 ),
    inference(avatar_split_clause,[],[f129,f362,f582]) ).

fof(f129,plain,
    ( ~ sP0
    | e2 = op(e3,e2) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f727,plain,
    ( spl15_62
    | spl15_95
    | spl15_51
    | spl15_66 ),
    inference(avatar_split_clause,[],[f155,f566,f495,f724,f547]) ).

fof(f155,plain,
    ( e3 = op(e2,e2)
    | e3 = op(e2,e3)
    | e3 = op(e2,e1)
    | e3 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f722,plain,
    ( ~ spl15_20
    | spl15_40 ),
    inference(avatar_split_clause,[],[f126,f443,f358]) ).

fof(f126,plain,
    ( e1 = op(e1,e1)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ( ( e1 = op(e1,e1)
      & e1 = op(e1,e1)
      & e1 != op(e1,e1) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f55]) ).

fof(f721,plain,
    ( spl15_60
    | spl15_64
    | spl15_56
    | spl15_1 ),
    inference(avatar_split_clause,[],[f158,f277,f517,f555,f535]) ).

fof(f158,plain,
    ( e2 = op(e2,e1)
    | e2 = op(e2,e3)
    | e2 = op(e2,e0)
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f720,plain,
    ( spl15_5
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f100,f394,f294]) ).

fof(f100,plain,
    ( ~ sP10
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f705,plain,
    ( ~ spl15_40
    | ~ spl15_15 ),
    inference(avatar_split_clause,[],[f90,f338,f443]) ).

fof(f90,plain,
    ( ~ sP13
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ( ( e2 = op(e2,e1)
      & e1 != op(e1,e1)
      & e2 = op(e1,e2) )
    | ~ sP13 ),
    inference(nnf_transformation,[],[f67]) ).

fof(f704,plain,
    ( ~ spl15_26
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f117,f374,f382]) ).

fof(f117,plain,
    ( ~ sP4
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ( ( e0 = op(e0,e0)
      & e0 != op(e0,e0)
      & e0 = op(e0,e0) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f58]) ).

fof(f703,plain,
    ( ~ spl15_19
    | spl15_64 ),
    inference(avatar_split_clause,[],[f104,f555,f354]) ).

fof(f104,plain,
    ( e2 = op(e2,e0)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f702,plain,
    ( ~ spl15_21
    | spl15_56 ),
    inference(avatar_split_clause,[],[f128,f517,f362]) ).

fof(f128,plain,
    ( e2 = op(e2,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f701,plain,
    ( spl15_68
    | spl15_88
    | spl15_8
    | spl15_26 ),
    inference(avatar_split_clause,[],[f257,f382,f307,f675,f576]) ).

fof(f257,plain,
    ( e0 = op(e0,e0)
    | op(e0,e0) = e3
    | op(e0,e0) = e1
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f700,plain,
    ( spl15_69
    | spl15_73
    | spl15_4
    | spl15_60 ),
    inference(avatar_split_clause,[],[f182,f535,f290,f601,f582]) ).

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

fof(f699,plain,
    ( spl15_50
    | spl15_87
    | spl15_53
    | spl15_80 ),
    inference(avatar_split_clause,[],[f179,f632,f504,f669,f491]) ).

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

fof(f698,plain,
    ( ~ spl15_28
    | spl15_83 ),
    inference(avatar_split_clause,[],[f92,f646,f390]) ).

fof(f92,plain,
    ( e0 = op(e3,e0)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f697,plain,
    ( spl15_91
    | spl15_5
    | spl15_45
    | spl15_70 ),
    inference(avatar_split_clause,[],[f178,f586,f465,f294,f690]) ).

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

fof(f696,plain,
    ( spl15_71
    | ~ spl15_18 ),
    inference(avatar_split_clause,[],[f96,f350,f590]) ).

fof(f96,plain,
    ( ~ sP11
    | e3 = op(e3,e2) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f695,plain,
    ( ~ spl15_91
    | ~ spl15_72
    | ~ spl15_38 ),
    inference(avatar_split_clause,[],[f85,f434,f596,f690]) ).

fof(f85,plain,
    ( e3 != op(op(e2,e2),op(e2,e2))
    | e1 != op(op(op(e2,e2),op(e2,e2)),e2)
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( e1 != op(op(op(e2,e2),op(e2,e2)),e2)
    | e0 != op(e2,e2)
    | e3 != op(op(e2,e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f10]) ).

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

fof(f694,plain,
    ( spl15_26
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f116,f374,f382]) ).

fof(f116,plain,
    ( ~ sP4
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f693,plain,
    ( spl15_90
    | spl15_91
    | spl15_55
    | spl15_61 ),
    inference(avatar_split_clause,[],[f176,f543,f513,f690,f686]) ).

fof(f176,plain,
    ( e0 = op(e2,e0)
    | e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | e0 = op(e2,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f684,plain,
    ( spl15_73
    | ~ spl15_15 ),
    inference(avatar_split_clause,[],[f89,f338,f601]) ).

fof(f89,plain,
    ( ~ sP13
    | e2 = op(e1,e2) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f683,plain,
    ( spl15_47
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f121,f346,f476]) ).

fof(f121,plain,
    ( ~ sP3
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ( ( e1 = op(e1,e2)
      & e1 = op(e2,e1)
      & e2 != op(e2,e2) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f57]) ).

fof(f682,plain,
    ( spl15_3
    | spl15_35
    | spl15_88
    | spl15_89 ),
    inference(avatar_split_clause,[],[f170,f679,f675,f421,f286]) ).

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

fof(f672,plain,
    ( spl15_62
    | spl15_8
    | spl15_87
    | spl15_82 ),
    inference(avatar_split_clause,[],[f175,f642,f669,f307,f547]) ).

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

fof(f667,plain,
    ( ~ spl15_33
    | ~ spl15_11 ),
    inference(avatar_split_clause,[],[f86,f320,f412]) ).

fof(f86,plain,
    ( ~ sP14
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f666,plain,
    ( ~ spl15_66
    | spl15_56 ),
    inference(avatar_split_clause,[],[f149,f517,f566]) ).

fof(f149,plain,
    ( e2 = op(e2,e3)
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f665,plain,
    ( spl15_8
    | spl15_6
    | spl15_37
    | spl15_52 ),
    inference(avatar_split_clause,[],[f171,f499,f429,f298,f307]) ).

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

fof(f664,plain,
    ( ~ spl15_85
    | ~ spl15_48
    | ~ spl15_86 ),
    inference(avatar_split_clause,[],[f186,f661,f482,f657]) ).

fof(f186,plain,
    ( e1 != op(op(e3,e3),op(e3,e3))
    | e2 != op(op(op(e3,e3),op(e3,e3)),e3)
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( e0 != op(e3,e3)
    | e2 != op(op(op(e3,e3),op(e3,e3)),e3)
    | e1 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f6]) ).

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

fof(f654,plain,
    ( ~ spl15_53
    | spl15_84 ),
    inference(avatar_split_clause,[],[f140,f651,f504]) ).

fof(f140,plain,
    ( e1 = op(e1,e3)
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f649,plain,
    ( spl15_78
    | spl15_82
    | spl15_83
    | spl15_32 ),
    inference(avatar_split_clause,[],[f264,f407,f646,f642,f622]) ).

fof(f264,plain,
    ( e1 = op(e3,e0)
    | e0 = op(e3,e0)
    | e3 = op(e3,e0)
    | e2 = op(e3,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f635,plain,
    ( spl15_47
    | spl15_45
    | spl15_73
    | spl15_80 ),
    inference(avatar_split_clause,[],[f255,f632,f601,f465,f476]) ).

fof(f255,plain,
    ( e3 = op(e1,e2)
    | e2 = op(e1,e2)
    | e0 = op(e1,e2)
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f630,plain,
    ( spl15_65
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f120,f346,f561]) ).

fof(f120,plain,
    ( ~ sP3
    | e1 = op(e2,e1) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f629,plain,
    ( spl15_77
    | spl15_69
    | spl15_78
    | spl15_79 ),
    inference(avatar_split_clause,[],[f167,f626,f622,f582,f618]) ).

fof(f167,plain,
    ( e2 = op(e3,e1)
    | e2 = op(e3,e0)
    | e2 = op(e3,e2)
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f616,plain,
    ( spl15_73
    | spl15_74
    | spl15_75
    | spl15_76 ),
    inference(avatar_split_clause,[],[f164,f613,f609,f605,f601]) ).

fof(f164,plain,
    ( e2 = op(e1,e1)
    | e2 = op(e1,e0)
    | e2 = op(e1,e3)
    | e2 = op(e1,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f594,plain,
    ( ~ spl15_29
    | spl15_61 ),
    inference(avatar_split_clause,[],[f99,f543,f394]) ).

fof(f99,plain,
    ( e0 = op(e2,e0)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f593,plain,
    ( spl15_69
    | spl15_30
    | spl15_70
    | spl15_71 ),
    inference(avatar_split_clause,[],[f266,f590,f586,f399,f582]) ).

fof(f266,plain,
    ( e3 = op(e3,e2)
    | e0 = op(e3,e2)
    | e1 = op(e3,e2)
    | e2 = op(e3,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f580,plain,
    ( ~ spl15_15
    | spl15_1 ),
    inference(avatar_split_clause,[],[f91,f277,f338]) ).

fof(f91,plain,
    ( e2 = op(e2,e1)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f579,plain,
    ( spl15_5
    | ~ spl15_68 ),
    inference(avatar_split_clause,[],[f131,f576,f294]) ).

fof(f131,plain,
    ( op(e0,e0) != e2
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f574,plain,
    ( spl15_50
    | ~ spl15_27 ),
    inference(avatar_split_clause,[],[f112,f386,f491]) ).

fof(f112,plain,
    ( ~ sP6
    | e3 = op(e1,e3) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f573,plain,
    ( ~ spl15_66
    | ~ spl15_39
    | ~ spl15_67 ),
    inference(avatar_split_clause,[],[f238,f570,f438,f566]) ).

fof(f238,plain,
    ( e1 != op(op(e2,e2),op(e2,e2))
    | e0 != op(op(op(e2,e2),op(e2,e2)),e2)
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( e1 != op(op(e2,e2),op(e2,e2))
    | e3 != op(e2,e2)
    | e0 != op(op(op(e2,e2),op(e2,e2)),e2) ),
    inference(ennf_transformation,[],[f26]) ).

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

fof(f564,plain,
    ( spl15_65
    | spl15_63
    | spl15_2
    | spl15_57 ),
    inference(avatar_split_clause,[],[f166,f521,f281,f551,f561]) ).

fof(f166,plain,
    ( e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | e1 = op(e2,e0)
    | e1 = op(e2,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f558,plain,
    ( spl15_61
    | spl15_62
    | spl15_63
    | spl15_64 ),
    inference(avatar_split_clause,[],[f261,f555,f551,f547,f543]) ).

fof(f261,plain,
    ( e2 = op(e2,e0)
    | e1 = op(e2,e0)
    | e3 = op(e2,e0)
    | e0 = op(e2,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f541,plain,
    ( ~ spl15_20
    | ~ spl15_40 ),
    inference(avatar_split_clause,[],[f125,f443,f358]) ).

fof(f125,plain,
    ( e1 != op(e1,e1)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f540,plain,
    ( ~ spl15_19
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f105,f382,f354]) ).

fof(f105,plain,
    ( e0 != op(e0,e0)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f538,plain,
    ( ~ spl15_17
    | ~ spl15_60 ),
    inference(avatar_split_clause,[],[f119,f535,f346]) ).

fof(f119,plain,
    ( e2 != op(e2,e2)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f533,plain,
    ( ~ spl15_53
    | ~ spl15_58
    | ~ spl15_59 ),
    inference(avatar_split_clause,[],[f242,f530,f526,f504]) ).

fof(f242,plain,
    ( e2 != op(op(e1,e1),op(e1,e1))
    | e0 != op(op(op(e1,e1),op(e1,e1)),e1)
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( e2 != op(op(e1,e1),op(e1,e1))
    | e3 != op(e1,e1)
    | e0 != op(op(op(e1,e1),op(e1,e1)),e1) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ~ ( e2 = op(op(e1,e1),op(e1,e1))
      & e3 = op(e1,e1)
      & e0 = op(op(op(e1,e1),op(e1,e1)),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

fof(f524,plain,
    ( spl15_55
    | spl15_56
    | spl15_57
    | spl15_51 ),
    inference(avatar_split_clause,[],[f267,f495,f521,f517,f513]) ).

fof(f267,plain,
    ( e3 = op(e2,e3)
    | e1 = op(e2,e3)
    | e2 = op(e2,e3)
    | e0 = op(e2,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f511,plain,
    ( ~ spl15_53
    | ~ spl15_54
    | ~ spl15_14 ),
    inference(avatar_split_clause,[],[f187,f333,f508,f504]) ).

fof(f187,plain,
    ( e2 != op(op(op(e1,e1),op(e1,e1)),e1)
    | e0 != op(op(e1,e1),op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( e0 != op(op(e1,e1),op(e1,e1))
    | e3 != op(e1,e1)
    | e2 != op(op(op(e1,e1),op(e1,e1)),e1) ),
    inference(ennf_transformation,[],[f25]) ).

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

fof(f489,plain,
    ( ~ spl15_31
    | ~ spl15_48
    | ~ spl15_49 ),
    inference(avatar_split_clause,[],[f270,f486,f482,f403]) ).

fof(f270,plain,
    ( e0 != op(op(e3,e3),op(e3,e3))
    | e2 != op(op(op(e3,e3),op(e3,e3)),e3)
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( e2 != op(op(op(e3,e3),op(e3,e3)),e3)
    | e1 != op(e3,e3)
    | e0 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f12]) ).

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

fof(f480,plain,
    ( ~ spl15_40
    | ~ spl15_27 ),
    inference(avatar_split_clause,[],[f111,f386,f443]) ).

fof(f111,plain,
    ( ~ sP6
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f479,plain,
    ( spl15_3
    | spl15_2
    | spl15_30
    | spl15_47 ),
    inference(avatar_split_clause,[],[f154,f476,f399,f281,f286]) ).

fof(f154,plain,
    ( e1 = op(e1,e2)
    | e1 = op(e3,e2)
    | e1 = op(e2,e2)
    | e1 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f474,plain,
    ( ~ spl15_23
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f124,f382,f370]) ).

fof(f124,plain,
    ( e0 != op(e0,e0)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f473,plain,
    ( ~ spl15_28
    | spl15_46 ),
    inference(avatar_split_clause,[],[f93,f470,f390]) ).

fof(f93,plain,
    ( e0 = op(e0,e3)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f468,plain,
    ( spl15_12
    | spl15_43
    | spl15_44
    | spl15_45 ),
    inference(avatar_split_clause,[],[f156,f465,f461,f457,f325]) ).

fof(f156,plain,
    ( e0 = op(e1,e2)
    | e0 = op(e1,e3)
    | e0 = op(e1,e0)
    | e0 = op(e1,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f455,plain,
    ( ~ spl15_41
    | ~ spl15_42
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f273,f281,f452,f448]) ).

fof(f273,plain,
    ( e1 != op(e2,e2)
    | e0 != op(op(e2,e2),op(e2,e2))
    | e3 != op(op(op(e2,e2),op(e2,e2)),e2) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ( e0 != op(op(e2,e2),op(e2,e2))
    | e3 != op(op(op(e2,e2),op(e2,e2)),e2)
    | e1 != op(e2,e2) ),
    inference(ennf_transformation,[],[f13]) ).

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

fof(f446,plain,
    ( ~ spl15_40
    | ~ spl15_16 ),
    inference(avatar_split_clause,[],[f115,f342,f443]) ).

fof(f115,plain,
    ( ~ sP5
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f441,plain,
    ( ~ spl15_2
    | ~ spl15_38
    | ~ spl15_39 ),
    inference(avatar_split_clause,[],[f241,f438,f434,f281]) ).

fof(f241,plain,
    ( e0 != op(op(op(e2,e2),op(e2,e2)),e2)
    | e3 != op(op(e2,e2),op(e2,e2))
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ( e3 != op(op(e2,e2),op(e2,e2))
    | e0 != op(op(op(e2,e2),op(e2,e2)),e2)
    | e1 != op(e2,e2) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ~ ( e1 = op(e2,e2)
      & e3 = op(op(e2,e2),op(e2,e2))
      & e0 = op(op(op(e2,e2),op(e2,e2)),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

fof(f432,plain,
    ( spl15_34
    | spl15_35
    | spl15_36
    | spl15_37 ),
    inference(avatar_split_clause,[],[f262,f429,f425,f421,f417]) ).

fof(f262,plain,
    ( e3 = op(e0,e1)
    | e0 = op(e0,e1)
    | e1 = op(e0,e1)
    | e2 = op(e0,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f410,plain,
    ( spl15_30
    | spl15_31
    | spl15_10
    | spl15_32 ),
    inference(avatar_split_clause,[],[f159,f407,f316,f403,f399]) ).

fof(f159,plain,
    ( e1 = op(e3,e0)
    | e1 = op(e3,e1)
    | e1 = op(e3,e3)
    | e1 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f397,plain,
    ( spl15_15
    | spl15_16
    | spl15_17
    | spl15_18
    | spl15_19
    | spl15_20
    | spl15_21
    | spl15_22
    | spl15_23
    | spl15_11
    | spl15_24
    | spl15_25
    | ~ spl15_26
    | spl15_27
    | spl15_28
    | spl15_29 ),
    inference(avatar_split_clause,[],[f143,f394,f390,f386,f382,f378,f374,f320,f370,f366,f362,f358,f354,f350,f346,f342,f338]) ).

fof(f143,plain,
    ( sP10
    | sP12
    | sP6
    | e0 != op(e0,e0)
    | sP7
    | sP4
    | sP14
    | sP2
    | sP9
    | sP0
    | sP1
    | sP8
    | sP11
    | sP3
    | sP5
    | sP13 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f323,plain,
    ( spl15_10
    | ~ spl15_11 ),
    inference(avatar_split_clause,[],[f87,f320,f316]) ).

fof(f87,plain,
    ( ~ sP14
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f284,plain,
    ( spl15_1
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f137,f281,f277]) ).

fof(f137,plain,
    ( e1 != op(e2,e2)
    | e2 = op(e2,e1) ),
    inference(cnf_transformation,[],[f69]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : ALG146+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 14:58:15 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.55  % (29659)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57  % (29661)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.57  % (29662)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.77/0.59  % (29658)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)
% 1.77/0.59  % (29675)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.77/0.59  % (29671)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.77/0.60  % (29667)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)
% 1.77/0.60  % (29670)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.77/0.60  % (29664)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)
% 1.77/0.60  % (29672)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.77/0.60  % (29679)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.93/0.61  % (29681)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)
% 1.93/0.61  % (29660)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)
% 1.93/0.61  % (29663)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)
% 1.93/0.61  % (29673)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)
% 1.93/0.62  % (29677)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.93/0.62  % (29684)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.93/0.62  % (29680)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)
% 1.93/0.62  % (29676)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.93/0.62  % (29686)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.93/0.63  % (29674)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.93/0.63  % (29665)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.93/0.63  % (29685)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)
% 1.93/0.63  % (29682)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.93/0.63  TRYING [4]
% 1.93/0.63  % (29666)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.93/0.63  % (29666)Instruction limit reached!
% 1.93/0.63  % (29666)------------------------------
% 1.93/0.63  % (29666)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.63  % (29666)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.63  % (29666)Termination reason: Unknown
% 1.93/0.63  % (29666)Termination phase: shuffling
% 1.93/0.63  
% 1.93/0.63  % (29666)Memory used [KB]: 1023
% 1.93/0.63  % (29666)Time elapsed: 0.003 s
% 1.93/0.63  % (29666)Instructions burned: 2 (million)
% 1.93/0.63  % (29666)------------------------------
% 1.93/0.63  % (29666)------------------------------
% 1.93/0.63  % (29683)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.93/0.64  % (29669)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)
% 1.93/0.64  % (29668)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.93/0.64  % (29687)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)
% 1.93/0.64  % (29678)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)
% 1.93/0.65  % (29665)Instruction limit reached!
% 1.93/0.65  % (29665)------------------------------
% 1.93/0.65  % (29665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.66  % (29665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.66  % (29665)Termination reason: Unknown
% 2.23/0.66  % (29665)Termination phase: Saturation
% 2.23/0.66  
% 2.23/0.66  % (29665)Memory used [KB]: 5628
% 2.23/0.66  % (29665)Time elapsed: 0.009 s
% 2.23/0.66  % (29665)Instructions burned: 7 (million)
% 2.23/0.66  % (29665)------------------------------
% 2.23/0.66  % (29665)------------------------------
% 2.23/0.66  TRYING [4]
% 2.23/0.67  % (29662)Instruction limit reached!
% 2.23/0.67  % (29662)------------------------------
% 2.23/0.67  % (29662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.68  TRYING [4]
% 2.23/0.68  % (29662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.68  % (29662)Termination reason: Unknown
% 2.23/0.68  % (29662)Termination phase: Saturation
% 2.23/0.68  
% 2.23/0.68  % (29662)Memory used [KB]: 6268
% 2.23/0.68  % (29662)Time elapsed: 0.041 s
% 2.23/0.68  % (29662)Instructions burned: 51 (million)
% 2.23/0.68  % (29662)------------------------------
% 2.23/0.68  % (29662)------------------------------
% 2.23/0.68  % (29659)Instruction limit reached!
% 2.23/0.68  % (29659)------------------------------
% 2.23/0.68  % (29659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.68  % (29659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.68  % (29659)Termination reason: Unknown
% 2.23/0.68  % (29659)Termination phase: Saturation
% 2.23/0.68  
% 2.23/0.68  % (29659)Memory used [KB]: 6268
% 2.23/0.68  % (29659)Time elapsed: 0.043 s
% 2.23/0.68  % (29659)Instructions burned: 51 (million)
% 2.23/0.68  % (29659)------------------------------
% 2.23/0.68  % (29659)------------------------------
% 2.23/0.69  % (29675)Instruction limit reached!
% 2.23/0.69  % (29675)------------------------------
% 2.23/0.69  % (29675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.69  % (29667)Instruction limit reached!
% 2.23/0.69  % (29667)------------------------------
% 2.23/0.69  % (29667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.69  % (29667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.69  % (29667)Termination reason: Unknown
% 2.23/0.69  % (29667)Termination phase: Saturation
% 2.23/0.69  
% 2.23/0.69  % (29667)Memory used [KB]: 1407
% 2.23/0.69  % (29667)Time elapsed: 0.252 s
% 2.23/0.69  % (29667)Instructions burned: 52 (million)
% 2.23/0.69  % (29667)------------------------------
% 2.23/0.69  % (29667)------------------------------
% 2.23/0.69  % (29675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.69  % (29675)Termination reason: Unknown
% 2.23/0.69  % (29675)Termination phase: Finite model building SAT solving
% 2.23/0.69  
% 2.23/0.69  % (29675)Memory used [KB]: 7803
% 2.23/0.69  % (29675)Time elapsed: 0.246 s
% 2.23/0.69  % (29675)Instructions burned: 59 (million)
% 2.23/0.69  % (29675)------------------------------
% 2.23/0.69  % (29675)------------------------------
% 2.23/0.71  % (29664)Instruction limit reached!
% 2.23/0.71  % (29664)------------------------------
% 2.23/0.71  % (29664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.71  % (29664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.71  % (29664)Termination reason: Unknown
% 2.23/0.71  % (29664)Termination phase: Finite model building SAT solving
% 2.23/0.71  
% 2.23/0.71  % (29664)Memory used [KB]: 7675
% 2.23/0.71  % (29664)Time elapsed: 0.263 s
% 2.23/0.71  % (29664)Instructions burned: 51 (million)
% 2.23/0.71  % (29664)------------------------------
% 2.23/0.71  % (29664)------------------------------
% 2.23/0.71  % (29660)Instruction limit reached!
% 2.23/0.71  % (29660)------------------------------
% 2.23/0.71  % (29660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.71  % (29660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.71  % (29660)Termination reason: Unknown
% 2.23/0.71  % (29660)Termination phase: Saturation
% 2.23/0.71  
% 2.23/0.71  % (29660)Memory used [KB]: 1151
% 2.23/0.71  % (29660)Time elapsed: 0.252 s
% 2.23/0.71  % (29660)Instructions burned: 37 (million)
% 2.23/0.71  % (29660)------------------------------
% 2.23/0.71  % (29660)------------------------------
% 2.23/0.72  TRYING [5]
% 2.23/0.73  % (29679)First to succeed.
% 2.23/0.73  % (29663)Instruction limit reached!
% 2.23/0.73  % (29663)------------------------------
% 2.23/0.73  % (29663)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.73  % (29663)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.73  % (29663)Termination reason: Unknown
% 2.23/0.73  % (29663)Termination phase: Saturation
% 2.23/0.73  
% 2.23/0.73  % (29663)Memory used [KB]: 6012
% 2.23/0.73  % (29663)Time elapsed: 0.308 s
% 2.23/0.73  % (29663)Instructions burned: 49 (million)
% 2.23/0.73  % (29663)------------------------------
% 2.23/0.73  % (29663)------------------------------
% 2.23/0.73  % (29661)Instruction limit reached!
% 2.23/0.73  % (29661)------------------------------
% 2.23/0.73  % (29661)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.73  % (29661)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.73  % (29661)Termination reason: Unknown
% 2.23/0.73  % (29661)Termination phase: Saturation
% 2.23/0.73  
% 2.23/0.73  % (29661)Memory used [KB]: 6524
% 2.23/0.73  % (29661)Time elapsed: 0.291 s
% 2.23/0.73  % (29661)Instructions burned: 51 (million)
% 2.23/0.73  % (29661)------------------------------
% 2.23/0.73  % (29661)------------------------------
% 2.93/0.74  % (29672)Instruction limit reached!
% 2.93/0.74  % (29672)------------------------------
% 2.93/0.74  % (29672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.74  % (29672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.74  % (29672)Termination reason: Unknown
% 2.93/0.74  % (29672)Termination phase: Saturation
% 2.93/0.74  
% 2.93/0.74  % (29672)Memory used [KB]: 6396
% 2.93/0.74  % (29672)Time elapsed: 0.051 s
% 2.93/0.74  % (29672)Instructions burned: 69 (million)
% 2.93/0.74  % (29672)------------------------------
% 2.93/0.74  % (29672)------------------------------
% 2.93/0.75  % (29670)Also succeeded, but the first one will report.
% 2.93/0.75  % (29679)Refutation found. Thanks to Tanya!
% 2.93/0.75  % SZS status Unsatisfiable for theBenchmark
% 2.93/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 2.93/0.76  % (29679)------------------------------
% 2.93/0.76  % (29679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.76  % (29679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.76  % (29679)Termination reason: Refutation
% 2.93/0.76  
% 2.93/0.76  % (29679)Memory used [KB]: 6652
% 2.93/0.76  % (29679)Time elapsed: 0.081 s
% 2.93/0.76  % (29679)Instructions burned: 74 (million)
% 2.93/0.76  % (29679)------------------------------
% 2.93/0.76  % (29679)------------------------------
% 2.93/0.76  % (29657)Success in time 0.389 s
%------------------------------------------------------------------------------