TSTP Solution File: ALG107+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ALG107+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_uns --cores 0 -t %d %s

% Computer : n009.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 15:39:41 EDT 2022

% Result   : Theorem 2.60s 0.73s
% Output   : Refutation 2.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  189
% Syntax   : Number of formulae    :  958 ( 126 unt;   0 def)
%            Number of atoms       : 3452 (1946 equ)
%            Maximal formula atoms :  128 (   3 avg)
%            Number of connectives : 4038 (1544   ~;1799   |; 541   &)
%                                         ( 154 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  174 ( 172 usr; 173 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4425,plain,
    $false,
    inference(avatar_sat_refutation,[],[f414,f574,f632,f646,f655,f689,f795,f817,f822,f965,f997,f999,f1027,f1045,f1109,f1148,f1183,f1194,f1274,f1288,f1317,f1341,f1353,f1381,f1400,f1416,f1422,f1433,f1436,f1478,f1488,f1501,f1508,f1528,f1546,f1552,f1559,f1572,f1588,f1593,f1608,f1613,f1618,f1638,f1654,f1663,f1685,f1692,f1707,f1711,f1725,f1732,f1744,f1766,f1773,f1776,f1777,f1849,f1854,f1864,f1867,f1870,f1885,f1900,f1905,f1936,f1937,f1940,f1951,f1959,f1960,f1961,f1962,f1963,f1964,f1974,f1976,f2007,f2011,f2025,f2068,f2094,f2098,f2104,f2111,f2115,f2128,f2153,f2159,f2172,f2179,f2201,f2209,f2269,f2277,f2296,f2301,f2303,f2312,f2315,f2366,f2369,f2409,f2417,f2440,f2443,f2454,f2456,f2495,f2532,f2537,f2548,f2570,f2575,f2583,f2590,f2603,f2610,f2616,f2618,f2628,f2634,f2636,f2654,f2678,f2683,f2702,f2720,f2730,f2763,f2775,f2780,f2809,f2823,f2836,f2896,f2920,f2928,f2949,f3013,f3016,f3033,f3054,f3063,f3125,f3139,f3145,f3153,f3180,f3184,f3193,f3208,f3213,f3215,f3237,f3250,f3264,f3274,f3281,f3297,f3322,f3339,f3350,f3363,f3367,f3404,f3423,f3440,f3474,f3487,f3502,f3532,f3543,f3566,f3612,f3658,f3734,f3745,f3817,f3841,f3875,f3929,f3951,f4007,f4018,f4073,f4074,f4191,f4197,f4220,f4232,f4238,f4417,f4424]) ).

fof(f4424,plain,
    ( spl18_100
    | ~ spl18_179
    | ~ spl18_252 ),
    inference(avatar_contradiction_clause,[],[f4423]) ).

fof(f4423,plain,
    ( $false
    | spl18_100
    | ~ spl18_179
    | ~ spl18_252 ),
    inference(subsumption_resolution,[],[f4422,f829]) ).

fof(f829,plain,
    ( e20 != op2(e20,e22)
    | spl18_100 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f828,plain,
    ( spl18_100
  <=> e20 = op2(e20,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_100])]) ).

fof(f4422,plain,
    ( e20 = op2(e20,e22)
    | ~ spl18_179
    | ~ spl18_252 ),
    inference(forward_demodulation,[],[f4421,f1558]) ).

fof(f1558,plain,
    ( e20 = h1(e11)
    | ~ spl18_252 ),
    inference(avatar_component_clause,[],[f1556]) ).

fof(f1556,plain,
    ( spl18_252
  <=> e20 = h1(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_252])]) ).

fof(f4421,plain,
    ( op2(e20,e22) = h1(e11)
    | ~ spl18_179 ),
    inference(forward_demodulation,[],[f952,f1186]) ).

fof(f1186,plain,
    ( e22 = h1(e10)
    | ~ spl18_179 ),
    inference(avatar_component_clause,[],[f1185]) ).

fof(f1185,plain,
    ( spl18_179
  <=> e22 = h1(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_179])]) ).

fof(f952,plain,
    h1(e11) = op2(e20,h1(e10)),
    inference(forward_demodulation,[],[f261,f263]) ).

fof(f263,plain,
    op2(e20,e20) = h1(e10),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    ( op2(e20,e20) = h1(e10)
    & e20 = h1(e12)
    & op2(e20,op2(e20,e20)) = h1(e11)
    & h1(e13) = op2(op2(e20,op2(e20,e20)),op2(e20,e20)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).

fof(f261,plain,
    op2(e20,op2(e20,e20)) = h1(e11),
    inference(cnf_transformation,[],[f14]) ).

fof(f4417,plain,
    ( ~ spl18_202
    | ~ spl18_39 ),
    inference(avatar_split_clause,[],[f4416,f558,f1285]) ).

fof(f1285,plain,
    ( spl18_202
  <=> e21 = op2(e20,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_202])]) ).

fof(f558,plain,
    ( spl18_39
  <=> e21 = op2(e20,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_39])]) ).

fof(f4416,plain,
    ( e21 != op2(e20,e21)
    | ~ spl18_39 ),
    inference(forward_demodulation,[],[f174,f560]) ).

fof(f560,plain,
    ( e21 = op2(e20,e22)
    | ~ spl18_39 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f174,plain,
    op2(e20,e21) != op2(e20,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ( op2(e20,e23) != op2(e22,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e20,e20) != op2(e20,e21)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e23,e22) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e21,e20) != op2(e22,e20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

fof(f4238,plain,
    ( ~ spl18_264
    | ~ spl18_136 ),
    inference(avatar_split_clause,[],[f4237,f986,f1627]) ).

fof(f1627,plain,
    ( spl18_264
  <=> e23 = op2(e20,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_264])]) ).

fof(f986,plain,
    ( spl18_136
  <=> e23 = op2(e23,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_136])]) ).

fof(f4237,plain,
    ( e23 != op2(e20,e22)
    | ~ spl18_136 ),
    inference(backward_demodulation,[],[f176,f988]) ).

fof(f988,plain,
    ( e23 = op2(e23,e22)
    | ~ spl18_136 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f176,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f4232,plain,
    ( ~ spl18_137
    | ~ spl18_260 ),
    inference(avatar_split_clause,[],[f4231,f1603,f990]) ).

fof(f990,plain,
    ( spl18_137
  <=> e23 = op2(e23,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_137])]) ).

fof(f1603,plain,
    ( spl18_260
  <=> e23 = op2(e21,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_260])]) ).

fof(f4231,plain,
    ( e23 != op2(e23,e20)
    | ~ spl18_260 ),
    inference(forward_demodulation,[],[f205,f1605]) ).

fof(f1605,plain,
    ( e23 = op2(e21,e20)
    | ~ spl18_260 ),
    inference(avatar_component_clause,[],[f1603]) ).

fof(f205,plain,
    op2(e21,e20) != op2(e23,e20),
    inference(cnf_transformation,[],[f6]) ).

fof(f4220,plain,
    ( ~ spl18_261
    | ~ spl18_41
    | spl18_81
    | ~ spl18_242
    | ~ spl18_251 ),
    inference(avatar_split_clause,[],[f4219,f1549,f1498,f742,f567,f1610]) ).

fof(f1610,plain,
    ( spl18_261
  <=> e20 = op2(e23,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_261])]) ).

fof(f567,plain,
    ( spl18_41
  <=> e23 = h3(e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_41])]) ).

fof(f742,plain,
    ( spl18_81
  <=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_81])]) ).

fof(f1498,plain,
    ( spl18_242
  <=> e20 = h3(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_242])]) ).

fof(f1549,plain,
    ( spl18_251
  <=> e10 = op1(e13,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_251])]) ).

fof(f4219,plain,
    ( e20 != op2(e23,e23)
    | ~ spl18_41
    | spl18_81
    | ~ spl18_242
    | ~ spl18_251 ),
    inference(forward_demodulation,[],[f4218,f1499]) ).

fof(f1499,plain,
    ( e20 = h3(e10)
    | ~ spl18_242 ),
    inference(avatar_component_clause,[],[f1498]) ).

fof(f4218,plain,
    ( op2(e23,e23) != h3(e10)
    | ~ spl18_41
    | spl18_81
    | ~ spl18_251 ),
    inference(forward_demodulation,[],[f4217,f1551]) ).

fof(f1551,plain,
    ( e10 = op1(e13,e13)
    | ~ spl18_251 ),
    inference(avatar_component_clause,[],[f1549]) ).

fof(f4217,plain,
    ( op2(e23,e23) != h3(op1(e13,e13))
    | ~ spl18_41
    | spl18_81 ),
    inference(forward_demodulation,[],[f744,f568]) ).

fof(f568,plain,
    ( e23 = h3(e13)
    | ~ spl18_41 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f744,plain,
    ( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
    | spl18_81 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f4197,plain,
    ( ~ spl18_95
    | ~ spl18_202
    | ~ spl18_302 ),
    inference(avatar_contradiction_clause,[],[f4196]) ).

fof(f4196,plain,
    ( $false
    | ~ spl18_95
    | ~ spl18_202
    | ~ spl18_302 ),
    inference(subsumption_resolution,[],[f4195,f219]) ).

fof(f219,plain,
    e20 != e21,
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ( e21 != e23
    & e22 != e23
    & e20 != e22
    & e21 != e22
    & e20 != e23
    & e20 != e21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

fof(f4195,plain,
    ( e20 = e21
    | ~ spl18_95
    | ~ spl18_202
    | ~ spl18_302 ),
    inference(forward_demodulation,[],[f4194,f808]) ).

fof(f808,plain,
    ( e20 = op2(e21,e21)
    | ~ spl18_95 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f806,plain,
    ( spl18_95
  <=> e20 = op2(e21,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_95])]) ).

fof(f4194,plain,
    ( e21 = op2(e21,e21)
    | ~ spl18_202
    | ~ spl18_302 ),
    inference(forward_demodulation,[],[f1904,f1287]) ).

fof(f1287,plain,
    ( e21 = op2(e20,e21)
    | ~ spl18_202 ),
    inference(avatar_component_clause,[],[f1285]) ).

fof(f1904,plain,
    ( e21 = op2(e21,op2(e20,e21))
    | ~ spl18_302 ),
    inference(avatar_component_clause,[],[f1902]) ).

fof(f1902,plain,
    ( spl18_302
  <=> e21 = op2(e21,op2(e20,e21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_302])]) ).

fof(f4191,plain,
    ( ~ spl18_161
    | spl18_262
    | ~ spl18_264 ),
    inference(avatar_contradiction_clause,[],[f4190]) ).

fof(f4190,plain,
    ( $false
    | ~ spl18_161
    | spl18_262
    | ~ spl18_264 ),
    inference(subsumption_resolution,[],[f4189,f1616]) ).

fof(f1616,plain,
    ( e22 != op2(e22,e23)
    | spl18_262 ),
    inference(avatar_component_clause,[],[f1615]) ).

fof(f1615,plain,
    ( spl18_262
  <=> e22 = op2(e22,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_262])]) ).

fof(f4189,plain,
    ( e22 = op2(e22,e23)
    | ~ spl18_161
    | ~ spl18_264 ),
    inference(backward_demodulation,[],[f1104,f1629]) ).

fof(f1629,plain,
    ( e23 = op2(e20,e22)
    | ~ spl18_264 ),
    inference(avatar_component_clause,[],[f1627]) ).

fof(f1104,plain,
    ( e22 = op2(e22,op2(e20,e22))
    | ~ spl18_161 ),
    inference(avatar_component_clause,[],[f1102]) ).

fof(f1102,plain,
    ( spl18_161
  <=> e22 = op2(e22,op2(e20,e22)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_161])]) ).

fof(f4074,plain,
    ( spl18_7
    | ~ spl18_145 ),
    inference(avatar_split_clause,[],[f2771,f1030,f425]) ).

fof(f425,plain,
    ( spl18_7
  <=> e20 = op2(e20,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_7])]) ).

fof(f1030,plain,
    ( spl18_145
  <=> e20 = h1(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_145])]) ).

fof(f2771,plain,
    ( e20 = op2(e20,e20)
    | ~ spl18_145 ),
    inference(forward_demodulation,[],[f263,f1032]) ).

fof(f1032,plain,
    ( e20 = h1(e10)
    | ~ spl18_145 ),
    inference(avatar_component_clause,[],[f1030]) ).

fof(f4073,plain,
    ( ~ spl18_102
    | ~ spl18_242
    | ~ spl18_246
    | spl18_247 ),
    inference(avatar_contradiction_clause,[],[f4072]) ).

fof(f4072,plain,
    ( $false
    | ~ spl18_102
    | ~ spl18_242
    | ~ spl18_246
    | spl18_247 ),
    inference(subsumption_resolution,[],[f4071,f838]) ).

fof(f838,plain,
    ( e20 = op2(e22,e22)
    | ~ spl18_102 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f836,plain,
    ( spl18_102
  <=> e20 = op2(e22,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_102])]) ).

fof(f4071,plain,
    ( e20 != op2(e22,e22)
    | ~ spl18_242
    | ~ spl18_246
    | spl18_247 ),
    inference(forward_demodulation,[],[f4070,f1499]) ).

fof(f4070,plain,
    ( op2(e22,e22) != h3(e10)
    | ~ spl18_246
    | spl18_247 ),
    inference(forward_demodulation,[],[f1527,f1522]) ).

fof(f1522,plain,
    ( e22 = h3(e12)
    | ~ spl18_246 ),
    inference(avatar_component_clause,[],[f1521]) ).

fof(f1521,plain,
    ( spl18_246
  <=> e22 = h3(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_246])]) ).

fof(f1527,plain,
    ( h3(e10) != op2(h3(e12),h3(e12))
    | spl18_247 ),
    inference(avatar_component_clause,[],[f1525]) ).

fof(f1525,plain,
    ( spl18_247
  <=> h3(e10) = op2(h3(e12),h3(e12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_247])]) ).

fof(f4018,plain,
    ( ~ spl18_7
    | spl18_88
    | ~ spl18_212
    | ~ spl18_242 ),
    inference(avatar_contradiction_clause,[],[f4017]) ).

fof(f4017,plain,
    ( $false
    | ~ spl18_7
    | spl18_88
    | ~ spl18_212
    | ~ spl18_242 ),
    inference(subsumption_resolution,[],[f4016,f427]) ).

fof(f427,plain,
    ( e20 = op2(e20,e20)
    | ~ spl18_7 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f4016,plain,
    ( e20 != op2(e20,e20)
    | spl18_88
    | ~ spl18_212
    | ~ spl18_242 ),
    inference(forward_demodulation,[],[f4015,f1499]) ).

fof(f4015,plain,
    ( op2(e20,e20) != h3(e10)
    | spl18_88
    | ~ spl18_212
    | ~ spl18_242 ),
    inference(forward_demodulation,[],[f4014,f1336]) ).

fof(f1336,plain,
    ( e10 = op1(e10,e10)
    | ~ spl18_212 ),
    inference(avatar_component_clause,[],[f1334]) ).

fof(f1334,plain,
    ( spl18_212
  <=> e10 = op1(e10,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_212])]) ).

fof(f4014,plain,
    ( op2(e20,e20) != h3(op1(e10,e10))
    | spl18_88
    | ~ spl18_242 ),
    inference(forward_demodulation,[],[f772,f1499]) ).

fof(f772,plain,
    ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
    | spl18_88 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f770,plain,
    ( spl18_88
  <=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_88])]) ).

fof(f4007,plain,
    ( ~ spl18_41
    | spl18_84
    | ~ spl18_242
    | ~ spl18_260
    | ~ spl18_282 ),
    inference(avatar_contradiction_clause,[],[f4006]) ).

fof(f4006,plain,
    ( $false
    | ~ spl18_41
    | spl18_84
    | ~ spl18_242
    | ~ spl18_260
    | ~ spl18_282 ),
    inference(subsumption_resolution,[],[f4005,f1605]) ).

fof(f4005,plain,
    ( e23 != op2(e21,e20)
    | ~ spl18_41
    | spl18_84
    | ~ spl18_242
    | ~ spl18_282 ),
    inference(forward_demodulation,[],[f4004,f568]) ).

fof(f4004,plain,
    ( op2(e21,e20) != h3(e13)
    | spl18_84
    | ~ spl18_242
    | ~ spl18_282 ),
    inference(forward_demodulation,[],[f4003,f1753]) ).

fof(f1753,plain,
    ( e13 = op1(e11,e10)
    | ~ spl18_282 ),
    inference(avatar_component_clause,[],[f1751]) ).

fof(f1751,plain,
    ( spl18_282
  <=> e13 = op1(e11,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_282])]) ).

fof(f4003,plain,
    ( op2(e21,e20) != h3(op1(e11,e10))
    | spl18_84
    | ~ spl18_242 ),
    inference(forward_demodulation,[],[f4002,f1601]) ).

fof(f1601,plain,
    e21 = h3(e11),
    inference(forward_demodulation,[],[f217,f227]) ).

fof(f227,plain,
    e21 = op2(e22,op2(e22,e22)),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,axiom,
    ( e21 = op2(e22,op2(e22,e22))
    & e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & e20 = op2(e22,e22) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).

fof(f217,plain,
    op2(e22,op2(e22,e22)) = h3(e11),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ( op2(e22,e22) = h3(e10)
    & op2(e22,op2(e22,e22)) = h3(e11)
    & e22 = h3(e12)
    & op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = h3(e13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

fof(f4002,plain,
    ( h3(op1(e11,e10)) != op2(h3(e11),e20)
    | spl18_84
    | ~ spl18_242 ),
    inference(forward_demodulation,[],[f756,f1499]) ).

fof(f756,plain,
    ( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | spl18_84 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f754,plain,
    ( spl18_84
  <=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_84])]) ).

fof(f3951,plain,
    ( ~ spl18_3
    | ~ spl18_41
    | spl18_86
    | ~ spl18_176
    | ~ spl18_242
    | ~ spl18_246 ),
    inference(avatar_contradiction_clause,[],[f3950]) ).

fof(f3950,plain,
    ( $false
    | ~ spl18_3
    | ~ spl18_41
    | spl18_86
    | ~ spl18_176
    | ~ spl18_242
    | ~ spl18_246 ),
    inference(subsumption_resolution,[],[f3949,f1171]) ).

fof(f1171,plain,
    ( e22 = op2(e23,e20)
    | ~ spl18_176 ),
    inference(avatar_component_clause,[],[f1169]) ).

fof(f1169,plain,
    ( spl18_176
  <=> e22 = op2(e23,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_176])]) ).

fof(f3949,plain,
    ( e22 != op2(e23,e20)
    | ~ spl18_3
    | ~ spl18_41
    | spl18_86
    | ~ spl18_242
    | ~ spl18_246 ),
    inference(forward_demodulation,[],[f3948,f1522]) ).

fof(f3948,plain,
    ( op2(e23,e20) != h3(e12)
    | ~ spl18_3
    | ~ spl18_41
    | spl18_86
    | ~ spl18_242 ),
    inference(forward_demodulation,[],[f3947,f409]) ).

fof(f409,plain,
    ( e12 = op1(e13,e10)
    | ~ spl18_3 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f407,plain,
    ( spl18_3
  <=> e12 = op1(e13,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_3])]) ).

fof(f3947,plain,
    ( op2(e23,e20) != h3(op1(e13,e10))
    | ~ spl18_41
    | spl18_86
    | ~ spl18_242 ),
    inference(forward_demodulation,[],[f3946,f568]) ).

fof(f3946,plain,
    ( h3(op1(e13,e10)) != op2(h3(e13),e20)
    | spl18_86
    | ~ spl18_242 ),
    inference(forward_demodulation,[],[f764,f1499]) ).

fof(f764,plain,
    ( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
    | spl18_86 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f762,plain,
    ( spl18_86
  <=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_86])]) ).

fof(f3929,plain,
    ( ~ spl18_41
    | spl18_82
    | ~ spl18_223
    | ~ spl18_235
    | ~ spl18_246 ),
    inference(avatar_contradiction_clause,[],[f3928]) ).

fof(f3928,plain,
    ( $false
    | ~ spl18_41
    | spl18_82
    | ~ spl18_223
    | ~ spl18_235
    | ~ spl18_246 ),
    inference(subsumption_resolution,[],[f3927,f1458]) ).

fof(f1458,plain,
    ( e23 = op2(e22,e23)
    | ~ spl18_235 ),
    inference(avatar_component_clause,[],[f1456]) ).

fof(f1456,plain,
    ( spl18_235
  <=> e23 = op2(e22,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_235])]) ).

fof(f3927,plain,
    ( e23 != op2(e22,e23)
    | ~ spl18_41
    | spl18_82
    | ~ spl18_223
    | ~ spl18_246 ),
    inference(forward_demodulation,[],[f3926,f568]) ).

fof(f3926,plain,
    ( op2(e22,e23) != h3(e13)
    | ~ spl18_41
    | spl18_82
    | ~ spl18_223
    | ~ spl18_246 ),
    inference(forward_demodulation,[],[f3925,f1389]) ).

fof(f1389,plain,
    ( e13 = op1(e12,e13)
    | ~ spl18_223 ),
    inference(avatar_component_clause,[],[f1387]) ).

fof(f1387,plain,
    ( spl18_223
  <=> e13 = op1(e12,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_223])]) ).

fof(f3925,plain,
    ( op2(e22,e23) != h3(op1(e12,e13))
    | ~ spl18_41
    | spl18_82
    | ~ spl18_246 ),
    inference(forward_demodulation,[],[f3924,f1522]) ).

fof(f3924,plain,
    ( h3(op1(e12,e13)) != op2(h3(e12),e23)
    | ~ spl18_41
    | spl18_82 ),
    inference(forward_demodulation,[],[f748,f568]) ).

fof(f748,plain,
    ( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
    | spl18_82 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f746,plain,
    ( spl18_82
  <=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_82])]) ).

fof(f3875,plain,
    ( ~ spl18_41
    | ~ spl18_50
    | spl18_79
    | ~ spl18_168
    | ~ spl18_242
    | ~ spl18_246 ),
    inference(avatar_contradiction_clause,[],[f3874]) ).

fof(f3874,plain,
    ( $false
    | ~ spl18_41
    | ~ spl18_50
    | spl18_79
    | ~ spl18_168
    | ~ spl18_242
    | ~ spl18_246 ),
    inference(subsumption_resolution,[],[f3873,f1135]) ).

fof(f1135,plain,
    ( e22 = op2(e20,e23)
    | ~ spl18_168 ),
    inference(avatar_component_clause,[],[f1133]) ).

fof(f1133,plain,
    ( spl18_168
  <=> e22 = op2(e20,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_168])]) ).

fof(f3873,plain,
    ( e22 != op2(e20,e23)
    | ~ spl18_41
    | ~ spl18_50
    | spl18_79
    | ~ spl18_242
    | ~ spl18_246 ),
    inference(forward_demodulation,[],[f3872,f1522]) ).

fof(f3872,plain,
    ( op2(e20,e23) != h3(e12)
    | ~ spl18_41
    | ~ spl18_50
    | spl18_79
    | ~ spl18_242 ),
    inference(forward_demodulation,[],[f3871,f610]) ).

fof(f610,plain,
    ( e12 = op1(e10,e13)
    | ~ spl18_50 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f608,plain,
    ( spl18_50
  <=> e12 = op1(e10,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_50])]) ).

fof(f3871,plain,
    ( op2(e20,e23) != h3(op1(e10,e13))
    | ~ spl18_41
    | spl18_79
    | ~ spl18_242 ),
    inference(forward_demodulation,[],[f3870,f1499]) ).

fof(f3870,plain,
    ( h3(op1(e10,e13)) != op2(h3(e10),e23)
    | ~ spl18_41
    | spl18_79 ),
    inference(forward_demodulation,[],[f736,f568]) ).

fof(f736,plain,
    ( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
    | spl18_79 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f734,plain,
    ( spl18_79
  <=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_79])]) ).

fof(f3841,plain,
    ( ~ spl18_41
    | spl18_74
    | ~ spl18_156
    | ~ spl18_229 ),
    inference(avatar_contradiction_clause,[],[f3840]) ).

fof(f3840,plain,
    ( $false
    | ~ spl18_41
    | spl18_74
    | ~ spl18_156
    | ~ spl18_229 ),
    inference(subsumption_resolution,[],[f3839,f1421]) ).

fof(f1421,plain,
    ( e21 = op2(e23,e21)
    | ~ spl18_229 ),
    inference(avatar_component_clause,[],[f1419]) ).

fof(f1419,plain,
    ( spl18_229
  <=> e21 = op2(e23,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_229])]) ).

fof(f3839,plain,
    ( e21 != op2(e23,e21)
    | ~ spl18_41
    | spl18_74
    | ~ spl18_156 ),
    inference(forward_demodulation,[],[f3838,f1601]) ).

fof(f3838,plain,
    ( op2(e23,e21) != h3(e11)
    | ~ spl18_41
    | spl18_74
    | ~ spl18_156 ),
    inference(forward_demodulation,[],[f3837,f1079]) ).

fof(f1079,plain,
    ( e11 = op1(e13,e11)
    | ~ spl18_156 ),
    inference(avatar_component_clause,[],[f1077]) ).

fof(f1077,plain,
    ( spl18_156
  <=> e11 = op1(e13,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_156])]) ).

fof(f3837,plain,
    ( op2(e23,e21) != h3(op1(e13,e11))
    | ~ spl18_41
    | spl18_74 ),
    inference(forward_demodulation,[],[f3836,f568]) ).

fof(f3836,plain,
    ( h3(op1(e13,e11)) != op2(h3(e13),e21)
    | spl18_74 ),
    inference(forward_demodulation,[],[f716,f1601]) ).

fof(f716,plain,
    ( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
    | spl18_74 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f714,plain,
    ( spl18_74
  <=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_74])]) ).

fof(f3817,plain,
    ( ~ spl18_41
    | spl18_87
    | ~ spl18_136
    | ~ spl18_246
    | ~ spl18_268 ),
    inference(avatar_contradiction_clause,[],[f3816]) ).

fof(f3816,plain,
    ( $false
    | ~ spl18_41
    | spl18_87
    | ~ spl18_136
    | ~ spl18_246
    | ~ spl18_268 ),
    inference(subsumption_resolution,[],[f3815,f988]) ).

fof(f3815,plain,
    ( e23 != op2(e23,e22)
    | ~ spl18_41
    | spl18_87
    | ~ spl18_246
    | ~ spl18_268 ),
    inference(forward_demodulation,[],[f3814,f568]) ).

fof(f3814,plain,
    ( op2(e23,e22) != h3(e13)
    | ~ spl18_41
    | spl18_87
    | ~ spl18_246
    | ~ spl18_268 ),
    inference(forward_demodulation,[],[f3813,f1653]) ).

fof(f1653,plain,
    ( e13 = op1(e13,e12)
    | ~ spl18_268 ),
    inference(avatar_component_clause,[],[f1651]) ).

fof(f1651,plain,
    ( spl18_268
  <=> e13 = op1(e13,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_268])]) ).

fof(f3813,plain,
    ( op2(e23,e22) != h3(op1(e13,e12))
    | ~ spl18_41
    | spl18_87
    | ~ spl18_246 ),
    inference(forward_demodulation,[],[f3812,f568]) ).

fof(f3812,plain,
    ( h3(op1(e13,e12)) != op2(h3(e13),e22)
    | spl18_87
    | ~ spl18_246 ),
    inference(forward_demodulation,[],[f768,f1522]) ).

fof(f768,plain,
    ( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
    | spl18_87 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f766,plain,
    ( spl18_87
  <=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_87])]) ).

fof(f3745,plain,
    ( ~ spl18_41
    | ~ spl18_66
    | spl18_85
    | ~ spl18_201
    | ~ spl18_242 ),
    inference(avatar_contradiction_clause,[],[f3744]) ).

fof(f3744,plain,
    ( $false
    | ~ spl18_41
    | ~ spl18_66
    | spl18_85
    | ~ spl18_201
    | ~ spl18_242 ),
    inference(subsumption_resolution,[],[f3743,f1283]) ).

fof(f1283,plain,
    ( e23 = op2(e20,e21)
    | ~ spl18_201 ),
    inference(avatar_component_clause,[],[f1281]) ).

fof(f1281,plain,
    ( spl18_201
  <=> e23 = op2(e20,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_201])]) ).

fof(f3743,plain,
    ( e23 != op2(e20,e21)
    | ~ spl18_41
    | ~ spl18_66
    | spl18_85
    | ~ spl18_242 ),
    inference(forward_demodulation,[],[f3742,f568]) ).

fof(f3742,plain,
    ( op2(e20,e21) != h3(e13)
    | ~ spl18_66
    | spl18_85
    | ~ spl18_242 ),
    inference(forward_demodulation,[],[f3741,f680]) ).

fof(f680,plain,
    ( e13 = op1(e10,e11)
    | ~ spl18_66 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f678,plain,
    ( spl18_66
  <=> e13 = op1(e10,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_66])]) ).

fof(f3741,plain,
    ( op2(e20,e21) != h3(op1(e10,e11))
    | spl18_85
    | ~ spl18_242 ),
    inference(forward_demodulation,[],[f3740,f1499]) ).

fof(f3740,plain,
    ( h3(op1(e10,e11)) != op2(h3(e10),e21)
    | spl18_85 ),
    inference(forward_demodulation,[],[f760,f1601]) ).

fof(f760,plain,
    ( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | spl18_85 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f758,plain,
    ( spl18_85
  <=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_85])]) ).

fof(f3734,plain,
    ( ~ spl18_41
    | ~ spl18_55
    | spl18_83
    | ~ spl18_150 ),
    inference(avatar_contradiction_clause,[],[f3733]) ).

fof(f3733,plain,
    ( $false
    | ~ spl18_41
    | ~ spl18_55
    | spl18_83
    | ~ spl18_150 ),
    inference(subsumption_resolution,[],[f3732,f1053]) ).

fof(f1053,plain,
    ( e21 = op2(e21,e23)
    | ~ spl18_150 ),
    inference(avatar_component_clause,[],[f1051]) ).

fof(f1051,plain,
    ( spl18_150
  <=> e21 = op2(e21,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_150])]) ).

fof(f3732,plain,
    ( e21 != op2(e21,e23)
    | ~ spl18_41
    | ~ spl18_55
    | spl18_83 ),
    inference(forward_demodulation,[],[f3731,f1601]) ).

fof(f3731,plain,
    ( op2(e21,e23) != h3(e11)
    | ~ spl18_41
    | ~ spl18_55
    | spl18_83 ),
    inference(forward_demodulation,[],[f3730,f631]) ).

fof(f631,plain,
    ( e11 = op1(e11,e13)
    | ~ spl18_55 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f629,plain,
    ( spl18_55
  <=> e11 = op1(e11,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_55])]) ).

fof(f3730,plain,
    ( op2(e21,e23) != h3(op1(e11,e13))
    | ~ spl18_41
    | spl18_83 ),
    inference(forward_demodulation,[],[f3729,f1601]) ).

fof(f3729,plain,
    ( h3(op1(e11,e13)) != op2(h3(e11),e23)
    | ~ spl18_41
    | spl18_83 ),
    inference(forward_demodulation,[],[f752,f568]) ).

fof(f752,plain,
    ( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
    | spl18_83 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f750,plain,
    ( spl18_83
  <=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_83])]) ).

fof(f3658,plain,
    ( spl18_78
    | ~ spl18_95
    | ~ spl18_214
    | ~ spl18_242 ),
    inference(avatar_contradiction_clause,[],[f3657]) ).

fof(f3657,plain,
    ( $false
    | spl18_78
    | ~ spl18_95
    | ~ spl18_214
    | ~ spl18_242 ),
    inference(subsumption_resolution,[],[f3656,f808]) ).

fof(f3656,plain,
    ( e20 != op2(e21,e21)
    | spl18_78
    | ~ spl18_214
    | ~ spl18_242 ),
    inference(forward_demodulation,[],[f3655,f1499]) ).

fof(f3655,plain,
    ( op2(e21,e21) != h3(e10)
    | spl18_78
    | ~ spl18_214 ),
    inference(forward_demodulation,[],[f3654,f1348]) ).

fof(f1348,plain,
    ( e10 = op1(e11,e11)
    | ~ spl18_214 ),
    inference(avatar_component_clause,[],[f1346]) ).

fof(f1346,plain,
    ( spl18_214
  <=> e10 = op1(e11,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_214])]) ).

fof(f3654,plain,
    ( op2(e21,e21) != h3(op1(e11,e11))
    | spl18_78 ),
    inference(forward_demodulation,[],[f732,f1601]) ).

fof(f732,plain,
    ( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | spl18_78 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f730,plain,
    ( spl18_78
  <=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_78])]) ).

fof(f3612,plain,
    ( spl18_77
    | ~ spl18_159
    | ~ spl18_220
    | ~ spl18_246 ),
    inference(avatar_contradiction_clause,[],[f3611]) ).

fof(f3611,plain,
    ( $false
    | spl18_77
    | ~ spl18_159
    | ~ spl18_220
    | ~ spl18_246 ),
    inference(subsumption_resolution,[],[f3610,f1094]) ).

fof(f1094,plain,
    ( e22 = op2(e21,e22)
    | ~ spl18_159 ),
    inference(avatar_component_clause,[],[f1092]) ).

fof(f1092,plain,
    ( spl18_159
  <=> e22 = op2(e21,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_159])]) ).

fof(f3610,plain,
    ( e22 != op2(e21,e22)
    | spl18_77
    | ~ spl18_220
    | ~ spl18_246 ),
    inference(forward_demodulation,[],[f3609,f1522]) ).

fof(f3609,plain,
    ( op2(e21,e22) != h3(e12)
    | spl18_77
    | ~ spl18_220
    | ~ spl18_246 ),
    inference(forward_demodulation,[],[f3608,f1375]) ).

fof(f1375,plain,
    ( e12 = op1(e11,e12)
    | ~ spl18_220 ),
    inference(avatar_component_clause,[],[f1373]) ).

fof(f1373,plain,
    ( spl18_220
  <=> e12 = op1(e11,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_220])]) ).

fof(f3608,plain,
    ( op2(e21,e22) != h3(op1(e11,e12))
    | spl18_77
    | ~ spl18_246 ),
    inference(forward_demodulation,[],[f3607,f1601]) ).

fof(f3607,plain,
    ( h3(op1(e11,e12)) != op2(h3(e11),e22)
    | spl18_77
    | ~ spl18_246 ),
    inference(forward_demodulation,[],[f728,f1522]) ).

fof(f728,plain,
    ( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
    | spl18_77 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f726,plain,
    ( spl18_77
  <=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_77])]) ).

fof(f3566,plain,
    ( ~ spl18_64
    | spl18_75
    | ~ spl18_167
    | ~ spl18_246 ),
    inference(avatar_contradiction_clause,[],[f3565]) ).

fof(f3565,plain,
    ( $false
    | ~ spl18_64
    | spl18_75
    | ~ spl18_167
    | ~ spl18_246 ),
    inference(subsumption_resolution,[],[f3564,f1130]) ).

fof(f1130,plain,
    ( e22 = op2(e22,e21)
    | ~ spl18_167 ),
    inference(avatar_component_clause,[],[f1128]) ).

fof(f1128,plain,
    ( spl18_167
  <=> e22 = op2(e22,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_167])]) ).

fof(f3564,plain,
    ( e22 != op2(e22,e21)
    | ~ spl18_64
    | spl18_75
    | ~ spl18_246 ),
    inference(forward_demodulation,[],[f3563,f1522]) ).

fof(f3563,plain,
    ( op2(e22,e21) != h3(e12)
    | ~ spl18_64
    | spl18_75
    | ~ spl18_246 ),
    inference(forward_demodulation,[],[f3562,f671]) ).

fof(f671,plain,
    ( e12 = op1(e12,e11)
    | ~ spl18_64 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f669,plain,
    ( spl18_64
  <=> e12 = op1(e12,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_64])]) ).

fof(f3562,plain,
    ( op2(e22,e21) != h3(op1(e12,e11))
    | spl18_75
    | ~ spl18_246 ),
    inference(forward_demodulation,[],[f3561,f1522]) ).

fof(f3561,plain,
    ( h3(op1(e12,e11)) != op2(h3(e12),e21)
    | spl18_75 ),
    inference(forward_demodulation,[],[f720,f1601]) ).

fof(f720,plain,
    ( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
    | spl18_75 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f718,plain,
    ( spl18_75
  <=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_75])]) ).

fof(f3543,plain,
    ( spl18_296
    | ~ spl18_261 ),
    inference(avatar_split_clause,[],[f3542,f1610,f1844]) ).

fof(f1844,plain,
    ( spl18_296
  <=> e20 = h4(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_296])]) ).

fof(f3542,plain,
    ( e20 = h4(e10)
    | ~ spl18_261 ),
    inference(forward_demodulation,[],[f63,f1612]) ).

fof(f1612,plain,
    ( e20 = op2(e23,e23)
    | ~ spl18_261 ),
    inference(avatar_component_clause,[],[f1610]) ).

fof(f63,plain,
    op2(e23,e23) = h4(e10),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ( op2(e23,e23) = h4(e10)
    & e23 = h4(e12)
    & h4(e13) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & op2(e23,op2(e23,e23)) = h4(e11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

fof(f3532,plain,
    ( ~ spl18_225
    | ~ spl18_214 ),
    inference(avatar_split_clause,[],[f3531,f1346,f1396]) ).

fof(f1396,plain,
    ( spl18_225
  <=> e10 = op1(e13,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_225])]) ).

fof(f3531,plain,
    ( e10 != op1(e13,e11)
    | ~ spl18_214 ),
    inference(forward_demodulation,[],[f370,f1348]) ).

fof(f370,plain,
    op1(e11,e11) != op1(e13,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( op1(e10,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e13,e12) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e10,e10) != op1(e10,e11)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e12,e11) != op1(e12,e13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f3502,plain,
    ( ~ spl18_301
    | ~ spl18_235 ),
    inference(avatar_split_clause,[],[f3500,f1456,f1887]) ).

fof(f1887,plain,
    ( spl18_301
  <=> e23 = h4(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_301])]) ).

fof(f3500,plain,
    ( e23 != h4(e10)
    | ~ spl18_235 ),
    inference(backward_demodulation,[],[f1540,f1458]) ).

fof(f1540,plain,
    op2(e22,e23) != h4(e10),
    inference(forward_demodulation,[],[f195,f63]) ).

fof(f195,plain,
    op2(e22,e23) != op2(e23,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f3487,plain,
    ( spl18_95
    | ~ spl18_239 ),
    inference(avatar_split_clause,[],[f3486,f1481,f806]) ).

fof(f1481,plain,
    ( spl18_239
  <=> e20 = h2(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_239])]) ).

fof(f3486,plain,
    ( e20 = op2(e21,e21)
    | ~ spl18_239 ),
    inference(forward_demodulation,[],[f70,f1483]) ).

fof(f1483,plain,
    ( e20 = h2(e10)
    | ~ spl18_239 ),
    inference(avatar_component_clause,[],[f1481]) ).

fof(f70,plain,
    op2(e21,e21) = h2(e10),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    ( op2(e21,e21) = h2(e10)
    & e21 = h2(e12)
    & h2(e13) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & op2(e21,op2(e21,e21)) = h2(e11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(f3474,plain,
    ( spl18_167
    | ~ spl18_39
    | ~ spl18_161 ),
    inference(avatar_split_clause,[],[f3434,f1102,f558,f1128]) ).

fof(f3434,plain,
    ( e22 = op2(e22,e21)
    | ~ spl18_39
    | ~ spl18_161 ),
    inference(backward_demodulation,[],[f1104,f560]) ).

fof(f3440,plain,
    ( ~ spl18_49
    | ~ spl18_64 ),
    inference(avatar_split_clause,[],[f3439,f669,f604]) ).

fof(f604,plain,
    ( spl18_49
  <=> e12 = op1(e12,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_49])]) ).

fof(f3439,plain,
    ( e12 != op1(e12,e13)
    | ~ spl18_64 ),
    inference(backward_demodulation,[],[f350,f671]) ).

fof(f350,plain,
    op1(e12,e11) != op1(e12,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f3423,plain,
    ( spl18_64
    | ~ spl18_144
    | ~ spl18_228 ),
    inference(avatar_split_clause,[],[f3422,f1413,f1024,f669]) ).

fof(f1024,plain,
    ( spl18_144
  <=> e12 = op1(e12,op1(e10,e12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_144])]) ).

fof(f1413,plain,
    ( spl18_228
  <=> e11 = op1(e10,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_228])]) ).

fof(f3422,plain,
    ( e12 = op1(e12,e11)
    | ~ spl18_144
    | ~ spl18_228 ),
    inference(forward_demodulation,[],[f1026,f1415]) ).

fof(f1415,plain,
    ( e11 = op1(e10,e12)
    | ~ spl18_228 ),
    inference(avatar_component_clause,[],[f1413]) ).

fof(f1026,plain,
    ( e12 = op1(e12,op1(e10,e12))
    | ~ spl18_144 ),
    inference(avatar_component_clause,[],[f1024]) ).

fof(f3404,plain,
    ( ~ spl18_54
    | ~ spl18_66
    | spl18_175
    | ~ spl18_199 ),
    inference(avatar_contradiction_clause,[],[f3403]) ).

fof(f3403,plain,
    ( $false
    | ~ spl18_54
    | ~ spl18_66
    | spl18_175
    | ~ spl18_199 ),
    inference(subsumption_resolution,[],[f3402,f1165]) ).

fof(f1165,plain,
    ( e10 != e11
    | spl18_175 ),
    inference(avatar_component_clause,[],[f1164]) ).

fof(f1164,plain,
    ( spl18_175
  <=> e10 = e11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_175])]) ).

fof(f3402,plain,
    ( e10 = e11
    | ~ spl18_54
    | ~ spl18_66
    | ~ spl18_199 ),
    inference(forward_demodulation,[],[f3401,f627]) ).

fof(f627,plain,
    ( e10 = op1(e11,e13)
    | ~ spl18_54 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f625,plain,
    ( spl18_54
  <=> e10 = op1(e11,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_54])]) ).

fof(f3401,plain,
    ( e11 = op1(e11,e13)
    | ~ spl18_66
    | ~ spl18_199 ),
    inference(forward_demodulation,[],[f1273,f680]) ).

fof(f1273,plain,
    ( e11 = op1(e11,op1(e10,e11))
    | ~ spl18_199 ),
    inference(avatar_component_clause,[],[f1271]) ).

fof(f1271,plain,
    ( spl18_199
  <=> e11 = op1(e11,op1(e10,e11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_199])]) ).

fof(f3367,plain,
    ( ~ spl18_39
    | spl18_76
    | ~ spl18_228
    | ~ spl18_242
    | ~ spl18_246 ),
    inference(avatar_split_clause,[],[f3366,f1521,f1498,f1413,f722,f558]) ).

fof(f722,plain,
    ( spl18_76
  <=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_76])]) ).

fof(f3366,plain,
    ( e21 != op2(e20,e22)
    | spl18_76
    | ~ spl18_228
    | ~ spl18_242
    | ~ spl18_246 ),
    inference(forward_demodulation,[],[f3365,f1601]) ).

fof(f3365,plain,
    ( op2(e20,e22) != h3(e11)
    | spl18_76
    | ~ spl18_228
    | ~ spl18_242
    | ~ spl18_246 ),
    inference(forward_demodulation,[],[f2473,f1415]) ).

fof(f2473,plain,
    ( op2(e20,e22) != h3(op1(e10,e12))
    | spl18_76
    | ~ spl18_242
    | ~ spl18_246 ),
    inference(forward_demodulation,[],[f2204,f1499]) ).

fof(f2204,plain,
    ( h3(op1(e10,e12)) != op2(h3(e10),e22)
    | spl18_76
    | ~ spl18_246 ),
    inference(forward_demodulation,[],[f724,f1522]) ).

fof(f724,plain,
    ( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
    | spl18_76 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f3363,plain,
    ( ~ spl18_130
    | ~ spl18_155 ),
    inference(avatar_split_clause,[],[f3362,f1073,f958]) ).

fof(f958,plain,
    ( spl18_130
  <=> e11 = op1(e13,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_130])]) ).

fof(f1073,plain,
    ( spl18_155
  <=> e11 = op1(e13,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_155])]) ).

fof(f3362,plain,
    ( e11 != op1(e13,e13)
    | ~ spl18_155 ),
    inference(forward_demodulation,[],[f391,f1075]) ).

fof(f1075,plain,
    ( e11 = op1(e13,e12)
    | ~ spl18_155 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f391,plain,
    op1(e13,e12) != op1(e13,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f3350,plain,
    ( ~ spl18_102
    | ~ spl18_159
    | ~ spl18_273 ),
    inference(avatar_contradiction_clause,[],[f3349]) ).

fof(f3349,plain,
    ( $false
    | ~ spl18_102
    | ~ spl18_159
    | ~ spl18_273 ),
    inference(subsumption_resolution,[],[f3348,f222]) ).

fof(f222,plain,
    e20 != e22,
    inference(cnf_transformation,[],[f8]) ).

fof(f3348,plain,
    ( e20 = e22
    | ~ spl18_102
    | ~ spl18_159
    | ~ spl18_273 ),
    inference(forward_demodulation,[],[f3345,f838]) ).

fof(f3345,plain,
    ( e22 = op2(e22,e22)
    | ~ spl18_159
    | ~ spl18_273 ),
    inference(backward_demodulation,[],[f1684,f1094]) ).

fof(f1684,plain,
    ( e22 = op2(e22,op2(e21,e22))
    | ~ spl18_273 ),
    inference(avatar_component_clause,[],[f1682]) ).

fof(f1682,plain,
    ( spl18_273
  <=> e22 = op2(e22,op2(e21,e22)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_273])]) ).

fof(f3339,plain,
    ( ~ spl18_264
    | ~ spl18_169 ),
    inference(avatar_split_clause,[],[f3338,f1137,f1627]) ).

fof(f1137,plain,
    ( spl18_169
  <=> e23 = op2(e20,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_169])]) ).

fof(f3338,plain,
    ( e23 != op2(e20,e22)
    | ~ spl18_169 ),
    inference(forward_demodulation,[],[f179,f1139]) ).

fof(f1139,plain,
    ( e23 = op2(e20,e23)
    | ~ spl18_169 ),
    inference(avatar_component_clause,[],[f1137]) ).

fof(f179,plain,
    op2(e20,e22) != op2(e20,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f3322,plain,
    ( ~ spl18_167
    | ~ spl18_166 ),
    inference(avatar_split_clause,[],[f3321,f1124,f1128]) ).

fof(f1124,plain,
    ( spl18_166
  <=> e22 = op2(e20,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_166])]) ).

fof(f3321,plain,
    ( e22 != op2(e22,e21)
    | ~ spl18_166 ),
    inference(forward_demodulation,[],[f173,f1126]) ).

fof(f1126,plain,
    ( e22 = op2(e20,e21)
    | ~ spl18_166 ),
    inference(avatar_component_clause,[],[f1124]) ).

fof(f173,plain,
    op2(e20,e21) != op2(e22,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f3297,plain,
    ( ~ spl18_201
    | ~ spl18_240
    | ~ spl18_302 ),
    inference(avatar_contradiction_clause,[],[f3296]) ).

fof(f3296,plain,
    ( $false
    | ~ spl18_201
    | ~ spl18_240
    | ~ spl18_302 ),
    inference(subsumption_resolution,[],[f3295,f219]) ).

fof(f3295,plain,
    ( e20 = e21
    | ~ spl18_201
    | ~ spl18_240
    | ~ spl18_302 ),
    inference(forward_demodulation,[],[f3294,f1487]) ).

fof(f1487,plain,
    ( e20 = op2(e21,e23)
    | ~ spl18_240 ),
    inference(avatar_component_clause,[],[f1485]) ).

fof(f1485,plain,
    ( spl18_240
  <=> e20 = op2(e21,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_240])]) ).

fof(f3294,plain,
    ( e21 = op2(e21,e23)
    | ~ spl18_201
    | ~ spl18_302 ),
    inference(forward_demodulation,[],[f1904,f1283]) ).

fof(f3281,plain,
    ( ~ spl18_102
    | ~ spl18_160
    | ~ spl18_161 ),
    inference(avatar_contradiction_clause,[],[f3280]) ).

fof(f3280,plain,
    ( $false
    | ~ spl18_102
    | ~ spl18_160
    | ~ spl18_161 ),
    inference(subsumption_resolution,[],[f3279,f222]) ).

fof(f3279,plain,
    ( e20 = e22
    | ~ spl18_102
    | ~ spl18_160
    | ~ spl18_161 ),
    inference(forward_demodulation,[],[f3278,f838]) ).

fof(f3278,plain,
    ( e22 = op2(e22,e22)
    | ~ spl18_160
    | ~ spl18_161 ),
    inference(forward_demodulation,[],[f1104,f1098]) ).

fof(f1098,plain,
    ( e22 = op2(e20,e22)
    | ~ spl18_160 ),
    inference(avatar_component_clause,[],[f1096]) ).

fof(f1096,plain,
    ( spl18_160
  <=> e22 = op2(e20,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_160])]) ).

fof(f3274,plain,
    ( ~ spl18_237
    | ~ spl18_240 ),
    inference(avatar_contradiction_clause,[],[f3273]) ).

fof(f3273,plain,
    ( $false
    | ~ spl18_237
    | ~ spl18_240 ),
    inference(subsumption_resolution,[],[f3272,f222]) ).

fof(f3272,plain,
    ( e20 = e22
    | ~ spl18_237
    | ~ spl18_240 ),
    inference(backward_demodulation,[],[f1473,f1487]) ).

fof(f1473,plain,
    ( e22 = op2(e21,e23)
    | ~ spl18_237 ),
    inference(avatar_component_clause,[],[f1471]) ).

fof(f1471,plain,
    ( spl18_237
  <=> e22 = op2(e21,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_237])]) ).

fof(f3264,plain,
    ( ~ spl18_97
    | ~ spl18_171
    | ~ spl18_265 ),
    inference(avatar_contradiction_clause,[],[f3263]) ).

fof(f3263,plain,
    ( $false
    | ~ spl18_97
    | ~ spl18_171
    | ~ spl18_265 ),
    inference(subsumption_resolution,[],[f3262,f220]) ).

fof(f220,plain,
    e20 != e23,
    inference(cnf_transformation,[],[f8]) ).

fof(f3262,plain,
    ( e20 = e23
    | ~ spl18_97
    | ~ spl18_171
    | ~ spl18_265 ),
    inference(forward_demodulation,[],[f3261,f816]) ).

fof(f816,plain,
    ( e20 = op2(e23,e21)
    | ~ spl18_97 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f814,plain,
    ( spl18_97
  <=> e20 = op2(e23,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_97])]) ).

fof(f3261,plain,
    ( e23 = op2(e23,e21)
    | ~ spl18_171
    | ~ spl18_265 ),
    inference(forward_demodulation,[],[f1637,f1147]) ).

fof(f1147,plain,
    ( e21 = op2(e20,e23)
    | ~ spl18_171 ),
    inference(avatar_component_clause,[],[f1145]) ).

fof(f1145,plain,
    ( spl18_171
  <=> e21 = op2(e20,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_171])]) ).

fof(f1637,plain,
    ( e23 = op2(e23,op2(e20,e23))
    | ~ spl18_265 ),
    inference(avatar_component_clause,[],[f1635]) ).

fof(f1635,plain,
    ( spl18_265
  <=> e23 = op2(e23,op2(e20,e23)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_265])]) ).

fof(f3250,plain,
    ( ~ spl18_65
    | spl18_172
    | ~ spl18_199 ),
    inference(avatar_contradiction_clause,[],[f3249]) ).

fof(f3249,plain,
    ( $false
    | ~ spl18_65
    | spl18_172
    | ~ spl18_199 ),
    inference(subsumption_resolution,[],[f3247,f1151]) ).

fof(f1151,plain,
    ( e11 != op1(e11,e12)
    | spl18_172 ),
    inference(avatar_component_clause,[],[f1150]) ).

fof(f1150,plain,
    ( spl18_172
  <=> e11 = op1(e11,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_172])]) ).

fof(f3247,plain,
    ( e11 = op1(e11,e12)
    | ~ spl18_65
    | ~ spl18_199 ),
    inference(backward_demodulation,[],[f1273,f676]) ).

fof(f676,plain,
    ( e12 = op1(e10,e11)
    | ~ spl18_65 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f674,plain,
    ( spl18_65
  <=> e12 = op1(e10,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_65])]) ).

fof(f3237,plain,
    ( spl18_274
    | ~ spl18_216 ),
    inference(avatar_split_clause,[],[f3236,f1355,f1687]) ).

fof(f1687,plain,
    ( spl18_274
  <=> e23 = h2(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_274])]) ).

fof(f1355,plain,
    ( spl18_216
  <=> e23 = op2(e21,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_216])]) ).

fof(f3236,plain,
    ( e23 = h2(e10)
    | ~ spl18_216 ),
    inference(backward_demodulation,[],[f70,f1357]) ).

fof(f1357,plain,
    ( e23 = op2(e21,e21)
    | ~ spl18_216 ),
    inference(avatar_component_clause,[],[f1355]) ).

fof(f3215,plain,
    ( ~ spl18_262
    | ~ spl18_237 ),
    inference(avatar_split_clause,[],[f3214,f1471,f1615]) ).

fof(f3214,plain,
    ( e22 != op2(e22,e23)
    | ~ spl18_237 ),
    inference(backward_demodulation,[],[f202,f1473]) ).

fof(f202,plain,
    op2(e21,e23) != op2(e22,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f3213,plain,
    ( ~ spl18_58
    | ~ spl18_129
    | ~ spl18_225 ),
    inference(avatar_contradiction_clause,[],[f3212]) ).

fof(f3212,plain,
    ( $false
    | ~ spl18_58
    | ~ spl18_129
    | ~ spl18_225 ),
    inference(subsumption_resolution,[],[f3211,f268]) ).

fof(f268,plain,
    e10 != e13,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ( e11 != e13
    & e10 != e13
    & e10 != e11
    & e10 != e12
    & e12 != e13
    & e11 != e12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

fof(f3211,plain,
    ( e10 = e13
    | ~ spl18_58
    | ~ spl18_129
    | ~ spl18_225 ),
    inference(forward_demodulation,[],[f3210,f1398]) ).

fof(f1398,plain,
    ( e10 = op1(e13,e11)
    | ~ spl18_225 ),
    inference(avatar_component_clause,[],[f1396]) ).

fof(f3210,plain,
    ( e13 = op1(e13,e11)
    | ~ spl18_58
    | ~ spl18_129 ),
    inference(forward_demodulation,[],[f645,f956]) ).

fof(f956,plain,
    ( e11 = op1(e10,e13)
    | ~ spl18_129 ),
    inference(avatar_component_clause,[],[f954]) ).

fof(f954,plain,
    ( spl18_129
  <=> e11 = op1(e10,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_129])]) ).

fof(f645,plain,
    ( e13 = op1(e13,op1(e10,e13))
    | ~ spl18_58 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f643,plain,
    ( spl18_58
  <=> e13 = op1(e13,op1(e10,e13)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_58])]) ).

fof(f3208,plain,
    ( ~ spl18_262
    | ~ spl18_167 ),
    inference(avatar_split_clause,[],[f3207,f1128,f1615]) ).

fof(f3207,plain,
    ( e22 != op2(e22,e23)
    | ~ spl18_167 ),
    inference(forward_demodulation,[],[f183,f1130]) ).

fof(f183,plain,
    op2(e22,e21) != op2(e22,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f3193,plain,
    ( ~ spl18_55
    | ~ spl18_129 ),
    inference(avatar_split_clause,[],[f3192,f954,f629]) ).

fof(f3192,plain,
    ( e11 != op1(e11,e13)
    | ~ spl18_129 ),
    inference(forward_demodulation,[],[f386,f956]) ).

fof(f386,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f3184,plain,
    ( ~ spl18_236
    | ~ spl18_260 ),
    inference(avatar_split_clause,[],[f3183,f1603,f1460]) ).

fof(f1460,plain,
    ( spl18_236
  <=> e23 = op2(e21,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_236])]) ).

fof(f3183,plain,
    ( e23 != op2(e21,e23)
    | ~ spl18_260 ),
    inference(forward_demodulation,[],[f185,f1605]) ).

fof(f185,plain,
    op2(e21,e20) != op2(e21,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f3180,plain,
    ( ~ spl18_238
    | ~ spl18_167 ),
    inference(avatar_split_clause,[],[f3179,f1128,f1475]) ).

fof(f1475,plain,
    ( spl18_238
  <=> e22 = h2(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_238])]) ).

fof(f3179,plain,
    ( e22 != h2(e10)
    | ~ spl18_167 ),
    inference(forward_demodulation,[],[f1465,f1130]) ).

fof(f1465,plain,
    op2(e22,e21) != h2(e10),
    inference(backward_demodulation,[],[f180,f70]) ).

fof(f180,plain,
    op2(e21,e21) != op2(e22,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f3153,plain,
    ( spl18_151
    | ~ spl18_239
    | ~ spl18_250 ),
    inference(avatar_contradiction_clause,[],[f3152]) ).

fof(f3152,plain,
    ( $false
    | spl18_151
    | ~ spl18_239
    | ~ spl18_250 ),
    inference(subsumption_resolution,[],[f3151,f1056]) ).

fof(f1056,plain,
    ( e21 != op2(e21,e20)
    | spl18_151 ),
    inference(avatar_component_clause,[],[f1055]) ).

fof(f1055,plain,
    ( spl18_151
  <=> e21 = op2(e21,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_151])]) ).

fof(f3151,plain,
    ( e21 = op2(e21,e20)
    | ~ spl18_239
    | ~ spl18_250 ),
    inference(forward_demodulation,[],[f1545,f1483]) ).

fof(f1545,plain,
    ( e21 = op2(e21,h2(e10))
    | ~ spl18_250 ),
    inference(avatar_component_clause,[],[f1543]) ).

fof(f1543,plain,
    ( spl18_250
  <=> e21 = op2(e21,h2(e10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_250])]) ).

fof(f3145,plain,
    ( ~ spl18_238
    | ~ spl18_239 ),
    inference(avatar_contradiction_clause,[],[f3144]) ).

fof(f3144,plain,
    ( $false
    | ~ spl18_238
    | ~ spl18_239 ),
    inference(subsumption_resolution,[],[f3143,f222]) ).

fof(f3143,plain,
    ( e20 = e22
    | ~ spl18_238
    | ~ spl18_239 ),
    inference(forward_demodulation,[],[f1477,f1483]) ).

fof(f1477,plain,
    ( e22 = h2(e10)
    | ~ spl18_238 ),
    inference(avatar_component_clause,[],[f1475]) ).

fof(f3139,plain,
    ( ~ spl18_3
    | ~ spl18_297 ),
    inference(avatar_contradiction_clause,[],[f3138]) ).

fof(f3138,plain,
    ( $false
    | ~ spl18_3
    | ~ spl18_297 ),
    inference(subsumption_resolution,[],[f3137,f793]) ).

fof(f793,plain,
    e10 != op1(e10,e12),
    inference(backward_demodulation,[],[f388,f64]) ).

fof(f64,plain,
    e10 = op1(e12,e12),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    ( e11 = op1(e12,op1(e12,e12))
    & e13 = op1(op1(e12,op1(e12,e12)),op1(e12,e12))
    & e10 = op1(e12,e12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).

fof(f388,plain,
    op1(e10,e12) != op1(e12,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f3137,plain,
    ( e10 = op1(e10,e12)
    | ~ spl18_3
    | ~ spl18_297 ),
    inference(forward_demodulation,[],[f1853,f409]) ).

fof(f1853,plain,
    ( e10 = op1(e10,op1(e13,e10))
    | ~ spl18_297 ),
    inference(avatar_component_clause,[],[f1851]) ).

fof(f1851,plain,
    ( spl18_297
  <=> e10 = op1(e10,op1(e13,e10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_297])]) ).

fof(f3125,plain,
    ( spl18_170
    | ~ spl18_258
    | ~ spl18_260 ),
    inference(avatar_contradiction_clause,[],[f3124]) ).

fof(f3124,plain,
    ( $false
    | spl18_170
    | ~ spl18_258
    | ~ spl18_260 ),
    inference(subsumption_resolution,[],[f3123,f1142]) ).

fof(f1142,plain,
    ( e20 != op2(e20,e23)
    | spl18_170 ),
    inference(avatar_component_clause,[],[f1141]) ).

fof(f1141,plain,
    ( spl18_170
  <=> e20 = op2(e20,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_170])]) ).

fof(f3123,plain,
    ( e20 = op2(e20,e23)
    | ~ spl18_258
    | ~ spl18_260 ),
    inference(backward_demodulation,[],[f1592,f1605]) ).

fof(f1592,plain,
    ( e20 = op2(e20,op2(e21,e20))
    | ~ spl18_258 ),
    inference(avatar_component_clause,[],[f1590]) ).

fof(f1590,plain,
    ( spl18_258
  <=> e20 = op2(e20,op2(e21,e20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_258])]) ).

fof(f3063,plain,
    ( ~ spl18_240
    | ~ spl18_296 ),
    inference(avatar_split_clause,[],[f3062,f1844,f1485]) ).

fof(f3062,plain,
    ( e20 != op2(e21,e23)
    | ~ spl18_296 ),
    inference(forward_demodulation,[],[f1437,f1845]) ).

fof(f1845,plain,
    ( e20 = h4(e10)
    | ~ spl18_296 ),
    inference(avatar_component_clause,[],[f1844]) ).

fof(f1437,plain,
    op2(e21,e23) != h4(e10),
    inference(forward_demodulation,[],[f196,f63]) ).

fof(f196,plain,
    op2(e21,e23) != op2(e23,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f3054,plain,
    ( ~ spl18_51
    | ~ spl18_220 ),
    inference(avatar_split_clause,[],[f3053,f1373,f612]) ).

fof(f612,plain,
    ( spl18_51
  <=> e12 = op1(e11,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_51])]) ).

fof(f3053,plain,
    ( e12 != op1(e11,e13)
    | ~ spl18_220 ),
    inference(forward_demodulation,[],[f383,f1375]) ).

fof(f383,plain,
    op1(e11,e12) != op1(e11,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f3033,plain,
    ( ~ spl18_153
    | ~ spl18_285 ),
    inference(avatar_contradiction_clause,[],[f3032]) ).

fof(f3032,plain,
    ( $false
    | ~ spl18_153
    | ~ spl18_285 ),
    inference(subsumption_resolution,[],[f3031,f1066]) ).

fof(f1066,plain,
    ( e21 = op2(e22,e20)
    | ~ spl18_153 ),
    inference(avatar_component_clause,[],[f1064]) ).

fof(f1064,plain,
    ( spl18_153
  <=> e21 = op2(e22,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_153])]) ).

fof(f3031,plain,
    ( e21 != op2(e22,e20)
    | ~ spl18_285 ),
    inference(forward_demodulation,[],[f187,f1784]) ).

fof(f1784,plain,
    ( e21 = op2(e23,e20)
    | ~ spl18_285 ),
    inference(avatar_component_clause,[],[f1782]) ).

fof(f1782,plain,
    ( spl18_285
  <=> e21 = op2(e23,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_285])]) ).

fof(f187,plain,
    op2(e22,e20) != op2(e23,e20),
    inference(cnf_transformation,[],[f6]) ).

fof(f3016,plain,
    ( ~ spl18_180
    | ~ spl18_260 ),
    inference(avatar_contradiction_clause,[],[f3015]) ).

fof(f3015,plain,
    ( $false
    | ~ spl18_180
    | ~ spl18_260 ),
    inference(subsumption_resolution,[],[f3014,f223]) ).

fof(f223,plain,
    e22 != e23,
    inference(cnf_transformation,[],[f8]) ).

fof(f3014,plain,
    ( e22 = e23
    | ~ spl18_180
    | ~ spl18_260 ),
    inference(backward_demodulation,[],[f1605,f1193]) ).

fof(f1193,plain,
    ( e22 = op2(e21,e20)
    | ~ spl18_180 ),
    inference(avatar_component_clause,[],[f1191]) ).

fof(f1191,plain,
    ( spl18_180
  <=> e22 = op2(e21,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_180])]) ).

fof(f3013,plain,
    ( ~ spl18_222
    | ~ spl18_251 ),
    inference(avatar_contradiction_clause,[],[f3012]) ).

fof(f3012,plain,
    ( $false
    | ~ spl18_222
    | ~ spl18_251 ),
    inference(subsumption_resolution,[],[f3011,f268]) ).

fof(f3011,plain,
    ( e10 = e13
    | ~ spl18_222
    | ~ spl18_251 ),
    inference(forward_demodulation,[],[f1385,f1551]) ).

fof(f1385,plain,
    ( e13 = op1(e13,e13)
    | ~ spl18_222 ),
    inference(avatar_component_clause,[],[f1383]) ).

fof(f1383,plain,
    ( spl18_222
  <=> e13 = op1(e13,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_222])]) ).

fof(f2949,plain,
    ( ~ spl18_1
    | ~ spl18_282 ),
    inference(avatar_contradiction_clause,[],[f2948]) ).

fof(f2948,plain,
    ( $false
    | ~ spl18_1
    | ~ spl18_282 ),
    inference(subsumption_resolution,[],[f2947,f1753]) ).

fof(f2947,plain,
    ( e13 != op1(e11,e10)
    | ~ spl18_1 ),
    inference(forward_demodulation,[],[f381,f401]) ).

fof(f401,plain,
    ( e13 = op1(e13,e10)
    | ~ spl18_1 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f399,plain,
    ( spl18_1
  <=> e13 = op1(e13,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).

fof(f381,plain,
    op1(e11,e10) != op1(e13,e10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2928,plain,
    ( ~ spl18_212
    | ~ spl18_213 ),
    inference(avatar_contradiction_clause,[],[f2927]) ).

fof(f2927,plain,
    ( $false
    | ~ spl18_212
    | ~ spl18_213 ),
    inference(subsumption_resolution,[],[f2925,f266]) ).

fof(f266,plain,
    e10 != e12,
    inference(cnf_transformation,[],[f7]) ).

fof(f2925,plain,
    ( e10 = e12
    | ~ spl18_212
    | ~ spl18_213 ),
    inference(backward_demodulation,[],[f1340,f1336]) ).

fof(f1340,plain,
    ( op1(e10,e10) = e12
    | ~ spl18_213 ),
    inference(avatar_component_clause,[],[f1338]) ).

fof(f1338,plain,
    ( spl18_213
  <=> op1(e10,e10) = e12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_213])]) ).

fof(f2920,plain,
    ( ~ spl18_261
    | ~ spl18_266 ),
    inference(avatar_contradiction_clause,[],[f2919]) ).

fof(f2919,plain,
    ( $false
    | ~ spl18_261
    | ~ spl18_266 ),
    inference(subsumption_resolution,[],[f2918,f219]) ).

fof(f2918,plain,
    ( e20 = e21
    | ~ spl18_261
    | ~ spl18_266 ),
    inference(backward_demodulation,[],[f1643,f1612]) ).

fof(f1643,plain,
    ( e21 = op2(e23,e23)
    | ~ spl18_266 ),
    inference(avatar_component_clause,[],[f1641]) ).

fof(f1641,plain,
    ( spl18_266
  <=> e21 = op2(e23,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_266])]) ).

fof(f2896,plain,
    ( ~ spl18_174
    | spl18_175
    | ~ spl18_214 ),
    inference(avatar_contradiction_clause,[],[f2895]) ).

fof(f2895,plain,
    ( $false
    | ~ spl18_174
    | spl18_175
    | ~ spl18_214 ),
    inference(subsumption_resolution,[],[f2894,f1165]) ).

fof(f2894,plain,
    ( e10 = e11
    | ~ spl18_174
    | ~ spl18_214 ),
    inference(forward_demodulation,[],[f1160,f1348]) ).

fof(f1160,plain,
    ( e11 = op1(e11,e11)
    | ~ spl18_174 ),
    inference(avatar_component_clause,[],[f1158]) ).

fof(f1158,plain,
    ( spl18_174
  <=> e11 = op1(e11,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_174])]) ).

fof(f2836,plain,
    ( ~ spl18_100
    | ~ spl18_242 ),
    inference(avatar_split_clause,[],[f2741,f1498,f828]) ).

fof(f2741,plain,
    ( e20 != op2(e20,e22)
    | ~ spl18_242 ),
    inference(forward_demodulation,[],[f1897,f1499]) ).

fof(f1897,plain,
    op2(e20,e22) != h3(e10),
    inference(backward_demodulation,[],[f207,f218]) ).

fof(f218,plain,
    op2(e22,e22) = h3(e10),
    inference(cnf_transformation,[],[f16]) ).

fof(f207,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f2823,plain,
    ( ~ spl18_2
    | spl18_212
    | ~ spl18_297 ),
    inference(avatar_contradiction_clause,[],[f2822]) ).

fof(f2822,plain,
    ( $false
    | ~ spl18_2
    | spl18_212
    | ~ spl18_297 ),
    inference(subsumption_resolution,[],[f2821,f1335]) ).

fof(f1335,plain,
    ( e10 != op1(e10,e10)
    | spl18_212 ),
    inference(avatar_component_clause,[],[f1334]) ).

fof(f2821,plain,
    ( e10 = op1(e10,e10)
    | ~ spl18_2
    | ~ spl18_297 ),
    inference(forward_demodulation,[],[f1853,f405]) ).

fof(f405,plain,
    ( e10 = op1(e13,e10)
    | ~ spl18_2 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f403,plain,
    ( spl18_2
  <=> e10 = op1(e13,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).

fof(f2809,plain,
    ( ~ spl18_147
    | ~ spl18_176 ),
    inference(avatar_contradiction_clause,[],[f2808]) ).

fof(f2808,plain,
    ( $false
    | ~ spl18_147
    | ~ spl18_176 ),
    inference(subsumption_resolution,[],[f2807,f222]) ).

fof(f2807,plain,
    ( e20 = e22
    | ~ spl18_147
    | ~ spl18_176 ),
    inference(forward_demodulation,[],[f1171,f1040]) ).

fof(f1040,plain,
    ( e20 = op2(e23,e20)
    | ~ spl18_147 ),
    inference(avatar_component_clause,[],[f1038]) ).

fof(f1038,plain,
    ( spl18_147
  <=> e20 = op2(e23,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_147])]) ).

fof(f2780,plain,
    ( ~ spl18_145
    | ~ spl18_147 ),
    inference(avatar_contradiction_clause,[],[f2779]) ).

fof(f2779,plain,
    ( $false
    | ~ spl18_145
    | ~ spl18_147 ),
    inference(subsumption_resolution,[],[f2778,f1040]) ).

fof(f2778,plain,
    ( e20 != op2(e23,e20)
    | ~ spl18_145 ),
    inference(forward_demodulation,[],[f1289,f1032]) ).

fof(f1289,plain,
    op2(e23,e20) != h1(e10),
    inference(forward_demodulation,[],[f189,f263]) ).

fof(f189,plain,
    op2(e20,e20) != op2(e23,e20),
    inference(cnf_transformation,[],[f6]) ).

fof(f2775,plain,
    ( ~ spl18_168
    | ~ spl18_237 ),
    inference(avatar_split_clause,[],[f2630,f1471,f1133]) ).

fof(f2630,plain,
    ( e22 != op2(e20,e23)
    | ~ spl18_237 ),
    inference(forward_demodulation,[],[f208,f1473]) ).

fof(f208,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2763,plain,
    ( ~ spl18_138
    | ~ spl18_201 ),
    inference(avatar_split_clause,[],[f2762,f1281,f994]) ).

fof(f994,plain,
    ( spl18_138
  <=> e23 = op2(e23,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_138])]) ).

fof(f2762,plain,
    ( e23 != op2(e23,e21)
    | ~ spl18_201 ),
    inference(forward_demodulation,[],[f201,f1283]) ).

fof(f201,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f2730,plain,
    ( ~ spl18_68
    | spl18_175
    | ~ spl18_199
    | ~ spl18_214 ),
    inference(avatar_contradiction_clause,[],[f2729]) ).

fof(f2729,plain,
    ( $false
    | ~ spl18_68
    | spl18_175
    | ~ spl18_199
    | ~ spl18_214 ),
    inference(subsumption_resolution,[],[f2728,f1165]) ).

fof(f2728,plain,
    ( e10 = e11
    | ~ spl18_68
    | ~ spl18_199
    | ~ spl18_214 ),
    inference(forward_demodulation,[],[f2727,f1348]) ).

fof(f2727,plain,
    ( e11 = op1(e11,e11)
    | ~ spl18_68
    | ~ spl18_199 ),
    inference(forward_demodulation,[],[f1273,f688]) ).

fof(f688,plain,
    ( e11 = op1(e10,e11)
    | ~ spl18_68 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f686,plain,
    ( spl18_68
  <=> e11 = op1(e10,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_68])]) ).

fof(f2720,plain,
    ( ~ spl18_213
    | ~ spl18_281 ),
    inference(avatar_contradiction_clause,[],[f2719]) ).

fof(f2719,plain,
    ( $false
    | ~ spl18_213
    | ~ spl18_281 ),
    inference(subsumption_resolution,[],[f2718,f793]) ).

fof(f2718,plain,
    ( e10 = op1(e10,e12)
    | ~ spl18_213
    | ~ spl18_281 ),
    inference(forward_demodulation,[],[f1743,f1340]) ).

fof(f1743,plain,
    ( e10 = op1(e10,op1(e10,e10))
    | ~ spl18_281 ),
    inference(avatar_component_clause,[],[f1741]) ).

fof(f1741,plain,
    ( spl18_281
  <=> e10 = op1(e10,op1(e10,e10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_281])]) ).

fof(f2702,plain,
    ( ~ spl18_274
    | ~ spl18_260 ),
    inference(avatar_split_clause,[],[f2701,f1603,f1687]) ).

fof(f2701,plain,
    ( e23 != h2(e10)
    | ~ spl18_260 ),
    inference(backward_demodulation,[],[f1709,f1605]) ).

fof(f1709,plain,
    op2(e21,e20) != h2(e10),
    inference(forward_demodulation,[],[f199,f70]) ).

fof(f199,plain,
    op2(e21,e20) != op2(e21,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f2683,plain,
    ( ~ spl18_212
    | ~ spl18_181 ),
    inference(avatar_split_clause,[],[f2538,f1196,f1334]) ).

fof(f1196,plain,
    ( spl18_181
  <=> e10 = op1(e10,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_181])]) ).

fof(f2538,plain,
    ( e10 != op1(e10,e10)
    | ~ spl18_181 ),
    inference(forward_demodulation,[],[f378,f1198]) ).

fof(f1198,plain,
    ( e10 = op1(e10,e13)
    | ~ spl18_181 ),
    inference(avatar_component_clause,[],[f1196]) ).

fof(f378,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2678,plain,
    ( ~ spl18_208
    | ~ spl18_268 ),
    inference(avatar_split_clause,[],[f2677,f1651,f1314]) ).

fof(f1314,plain,
    ( spl18_208
  <=> e13 = op1(e13,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_208])]) ).

fof(f2677,plain,
    ( e13 != op1(e13,e11)
    | ~ spl18_268 ),
    inference(forward_demodulation,[],[f395,f1653]) ).

fof(f395,plain,
    op1(e13,e11) != op1(e13,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2654,plain,
    ( ~ spl18_145
    | ~ spl18_170 ),
    inference(avatar_contradiction_clause,[],[f2653]) ).

fof(f2653,plain,
    ( $false
    | ~ spl18_145
    | ~ spl18_170 ),
    inference(subsumption_resolution,[],[f2339,f1032]) ).

fof(f2339,plain,
    ( e20 != h1(e10)
    | ~ spl18_170 ),
    inference(forward_demodulation,[],[f1100,f1143]) ).

fof(f1143,plain,
    ( e20 = op2(e20,e23)
    | ~ spl18_170 ),
    inference(avatar_component_clause,[],[f1141]) ).

fof(f1100,plain,
    op2(e20,e23) != h1(e10),
    inference(forward_demodulation,[],[f204,f263]) ).

fof(f204,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2636,plain,
    ( ~ spl18_279
    | ~ spl18_242 ),
    inference(avatar_split_clause,[],[f2635,f1498,f1728]) ).

fof(f1728,plain,
    ( spl18_279
  <=> e20 = op2(e22,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_279])]) ).

fof(f2635,plain,
    ( e20 != op2(e22,e23)
    | ~ spl18_242 ),
    inference(forward_demodulation,[],[f1894,f1499]) ).

fof(f1894,plain,
    op2(e22,e23) != h3(e10),
    inference(backward_demodulation,[],[f182,f218]) ).

fof(f182,plain,
    op2(e22,e22) != op2(e22,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2634,plain,
    ( ~ spl18_153
    | ~ spl18_154 ),
    inference(avatar_contradiction_clause,[],[f2633]) ).

fof(f2633,plain,
    ( $false
    | ~ spl18_153
    | ~ spl18_154 ),
    inference(subsumption_resolution,[],[f2632,f221]) ).

fof(f221,plain,
    e21 != e22,
    inference(cnf_transformation,[],[f8]) ).

fof(f2632,plain,
    ( e21 = e22
    | ~ spl18_153
    | ~ spl18_154 ),
    inference(forward_demodulation,[],[f1070,f1066]) ).

fof(f1070,plain,
    ( e22 = op2(e22,e20)
    | ~ spl18_154 ),
    inference(avatar_component_clause,[],[f1068]) ).

fof(f1068,plain,
    ( spl18_154
  <=> e22 = op2(e22,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_154])]) ).

fof(f2628,plain,
    ( ~ spl18_206
    | ~ spl18_235 ),
    inference(avatar_split_clause,[],[f2627,f1456,f1305]) ).

fof(f1305,plain,
    ( spl18_206
  <=> e23 = op2(e22,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_206])]) ).

fof(f2627,plain,
    ( e23 != op2(e22,e21)
    | ~ spl18_235 ),
    inference(forward_demodulation,[],[f183,f1458]) ).

fof(f2618,plain,
    ( ~ spl18_151
    | ~ spl18_153 ),
    inference(avatar_split_clause,[],[f2617,f1064,f1055]) ).

fof(f2617,plain,
    ( e21 != op2(e21,e20)
    | ~ spl18_153 ),
    inference(forward_demodulation,[],[f167,f1066]) ).

fof(f167,plain,
    op2(e21,e20) != op2(e22,e20),
    inference(cnf_transformation,[],[f6]) ).

fof(f2616,plain,
    ( ~ spl18_144
    | ~ spl18_221 ),
    inference(avatar_contradiction_clause,[],[f2615]) ).

fof(f2615,plain,
    ( $false
    | ~ spl18_144
    | ~ spl18_221 ),
    inference(subsumption_resolution,[],[f2614,f266]) ).

fof(f2614,plain,
    ( e10 = e12
    | ~ spl18_144
    | ~ spl18_221 ),
    inference(forward_demodulation,[],[f2613,f64]) ).

fof(f2613,plain,
    ( e12 = op1(e12,e12)
    | ~ spl18_144
    | ~ spl18_221 ),
    inference(forward_demodulation,[],[f1026,f1380]) ).

fof(f1380,plain,
    ( e12 = op1(e10,e12)
    | ~ spl18_221 ),
    inference(avatar_component_clause,[],[f1378]) ).

fof(f1378,plain,
    ( spl18_221
  <=> e12 = op1(e10,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_221])]) ).

fof(f2610,plain,
    ( ~ spl18_205
    | ~ spl18_153 ),
    inference(avatar_split_clause,[],[f2609,f1064,f1301]) ).

fof(f1301,plain,
    ( spl18_205
  <=> e21 = op2(e22,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_205])]) ).

fof(f2609,plain,
    ( e21 != op2(e22,e21)
    | ~ spl18_153 ),
    inference(forward_demodulation,[],[f168,f1066]) ).

fof(f168,plain,
    op2(e22,e20) != op2(e22,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f2603,plain,
    ( spl18_239
    | ~ spl18_95 ),
    inference(avatar_split_clause,[],[f2602,f806,f1481]) ).

fof(f2602,plain,
    ( e20 = h2(e10)
    | ~ spl18_95 ),
    inference(forward_demodulation,[],[f70,f808]) ).

fof(f2590,plain,
    ( ~ spl18_207
    | ~ spl18_282 ),
    inference(avatar_split_clause,[],[f2358,f1751,f1310]) ).

fof(f1310,plain,
    ( spl18_207
  <=> e13 = op1(e11,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_207])]) ).

fof(f2358,plain,
    ( e13 != op1(e11,e11)
    | ~ spl18_282 ),
    inference(forward_demodulation,[],[f375,f1753]) ).

fof(f375,plain,
    op1(e11,e10) != op1(e11,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2583,plain,
    ( spl18_7
    | ~ spl18_147
    | ~ spl18_257 ),
    inference(avatar_contradiction_clause,[],[f2582]) ).

fof(f2582,plain,
    ( $false
    | spl18_7
    | ~ spl18_147
    | ~ spl18_257 ),
    inference(subsumption_resolution,[],[f2581,f426]) ).

fof(f426,plain,
    ( e20 != op2(e20,e20)
    | spl18_7 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f2581,plain,
    ( e20 = op2(e20,e20)
    | ~ spl18_147
    | ~ spl18_257 ),
    inference(forward_demodulation,[],[f1587,f1040]) ).

fof(f1587,plain,
    ( e20 = op2(e20,op2(e23,e20))
    | ~ spl18_257 ),
    inference(avatar_component_clause,[],[f1585]) ).

fof(f1585,plain,
    ( spl18_257
  <=> e20 = op2(e20,op2(e23,e20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_257])]) ).

fof(f2575,plain,
    ( ~ spl18_101
    | ~ spl18_242 ),
    inference(avatar_contradiction_clause,[],[f2574]) ).

fof(f2574,plain,
    ( $false
    | ~ spl18_101
    | ~ spl18_242 ),
    inference(subsumption_resolution,[],[f2573,f834]) ).

fof(f834,plain,
    ( e20 = op2(e21,e22)
    | ~ spl18_101 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f832,plain,
    ( spl18_101
  <=> e20 = op2(e21,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_101])]) ).

fof(f2573,plain,
    ( e20 != op2(e21,e22)
    | ~ spl18_242 ),
    inference(forward_demodulation,[],[f1896,f1499]) ).

fof(f1896,plain,
    op2(e21,e22) != h3(e10),
    inference(backward_demodulation,[],[f200,f218]) ).

fof(f200,plain,
    op2(e21,e22) != op2(e22,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f2570,plain,
    ( ~ spl18_215
    | ~ spl18_282 ),
    inference(avatar_contradiction_clause,[],[f2569]) ).

fof(f2569,plain,
    ( $false
    | ~ spl18_215
    | ~ spl18_282 ),
    inference(subsumption_resolution,[],[f2567,f268]) ).

fof(f2567,plain,
    ( e10 = e13
    | ~ spl18_215
    | ~ spl18_282 ),
    inference(backward_demodulation,[],[f1753,f1352]) ).

fof(f1352,plain,
    ( e10 = op1(e11,e10)
    | ~ spl18_215 ),
    inference(avatar_component_clause,[],[f1350]) ).

fof(f1350,plain,
    ( spl18_215
  <=> e10 = op1(e11,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_215])]) ).

fof(f2548,plain,
    ( ~ spl18_95
    | ~ spl18_149 ),
    inference(avatar_contradiction_clause,[],[f2547]) ).

fof(f2547,plain,
    ( $false
    | ~ spl18_95
    | ~ spl18_149 ),
    inference(subsumption_resolution,[],[f2546,f219]) ).

fof(f2546,plain,
    ( e20 = e21
    | ~ spl18_95
    | ~ spl18_149 ),
    inference(backward_demodulation,[],[f1049,f808]) ).

fof(f1049,plain,
    ( e21 = op2(e21,e21)
    | ~ spl18_149 ),
    inference(avatar_component_clause,[],[f1047]) ).

fof(f1047,plain,
    ( spl18_149
  <=> e21 = op2(e21,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_149])]) ).

fof(f2537,plain,
    ( ~ spl18_99
    | ~ spl18_242 ),
    inference(avatar_split_clause,[],[f2401,f1498,f824]) ).

fof(f824,plain,
    ( spl18_99
  <=> e20 = op2(e23,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_99])]) ).

fof(f2401,plain,
    ( e20 != op2(e23,e22)
    | ~ spl18_242 ),
    inference(forward_demodulation,[],[f1893,f1499]) ).

fof(f1893,plain,
    op2(e23,e22) != h3(e10),
    inference(backward_demodulation,[],[f177,f218]) ).

fof(f177,plain,
    op2(e22,e22) != op2(e23,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f2532,plain,
    ( ~ spl18_153
    | ~ spl18_209 ),
    inference(avatar_split_clause,[],[f2531,f1319,f1064]) ).

fof(f1319,plain,
    ( spl18_209
  <=> e21 = op2(e22,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_209])]) ).

fof(f2531,plain,
    ( e21 != op2(e22,e20)
    | ~ spl18_209 ),
    inference(forward_demodulation,[],[f203,f1321]) ).

fof(f1321,plain,
    ( e21 = op2(e22,e23)
    | ~ spl18_209 ),
    inference(avatar_component_clause,[],[f1319]) ).

fof(f203,plain,
    op2(e22,e20) != op2(e22,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2495,plain,
    ( ~ spl18_102
    | ~ spl18_157 ),
    inference(avatar_contradiction_clause,[],[f2494]) ).

fof(f2494,plain,
    ( $false
    | ~ spl18_102
    | ~ spl18_157 ),
    inference(subsumption_resolution,[],[f2493,f222]) ).

fof(f2493,plain,
    ( e20 = e22
    | ~ spl18_102
    | ~ spl18_157 ),
    inference(forward_demodulation,[],[f1086,f838]) ).

fof(f1086,plain,
    ( e22 = op2(e22,e22)
    | ~ spl18_157 ),
    inference(avatar_component_clause,[],[f1084]) ).

fof(f1084,plain,
    ( spl18_157
  <=> e22 = op2(e22,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_157])]) ).

fof(f2456,plain,
    ( ~ spl18_67
    | ~ spl18_212 ),
    inference(avatar_split_clause,[],[f2455,f1334,f682]) ).

fof(f682,plain,
    ( spl18_67
  <=> e10 = op1(e10,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_67])]) ).

fof(f2455,plain,
    ( e10 != op1(e10,e11)
    | ~ spl18_212 ),
    inference(forward_demodulation,[],[f359,f1336]) ).

fof(f359,plain,
    op1(e10,e10) != op1(e10,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2454,plain,
    ( ~ spl18_148
    | ~ spl18_242 ),
    inference(avatar_split_clause,[],[f2453,f1498,f1042]) ).

fof(f1042,plain,
    ( spl18_148
  <=> e20 = op2(e22,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_148])]) ).

fof(f2453,plain,
    ( e20 != op2(e22,e20)
    | ~ spl18_242 ),
    inference(forward_demodulation,[],[f1892,f1499]) ).

fof(f1892,plain,
    op2(e22,e20) != h3(e10),
    inference(backward_demodulation,[],[f172,f218]) ).

fof(f172,plain,
    op2(e22,e20) != op2(e22,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f2443,plain,
    ( ~ spl18_53
    | ~ spl18_282 ),
    inference(avatar_split_clause,[],[f2442,f1751,f621]) ).

fof(f621,plain,
    ( spl18_53
  <=> e13 = op1(e11,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_53])]) ).

fof(f2442,plain,
    ( e13 != op1(e11,e13)
    | ~ spl18_282 ),
    inference(forward_demodulation,[],[f394,f1753]) ).

fof(f394,plain,
    op1(e11,e10) != op1(e11,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2440,plain,
    ( ~ spl18_243
    | ~ spl18_3 ),
    inference(avatar_split_clause,[],[f2439,f407,f1505]) ).

fof(f1505,plain,
    ( spl18_243
  <=> e12 = op1(e13,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_243])]) ).

fof(f2439,plain,
    ( e12 != op1(e13,e12)
    | ~ spl18_3 ),
    inference(forward_demodulation,[],[f374,f409]) ).

fof(f374,plain,
    op1(e13,e10) != op1(e13,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2417,plain,
    ( spl18_260
    | ~ spl18_242 ),
    inference(avatar_split_clause,[],[f2310,f1498,f1603]) ).

fof(f2310,plain,
    ( e23 = op2(e21,e20)
    | ~ spl18_242 ),
    inference(backward_demodulation,[],[f1899,f1499]) ).

fof(f1899,plain,
    e23 = op2(e21,h3(e10)),
    inference(backward_demodulation,[],[f1595,f218]) ).

fof(f1595,plain,
    e23 = op2(e21,op2(e22,e22)),
    inference(backward_demodulation,[],[f226,f227]) ).

fof(f226,plain,
    e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22)),
    inference(cnf_transformation,[],[f13]) ).

fof(f2409,plain,
    ( ~ spl18_94
    | ~ spl18_170 ),
    inference(avatar_split_clause,[],[f2334,f1141,f802]) ).

fof(f802,plain,
    ( spl18_94
  <=> e20 = op2(e20,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_94])]) ).

fof(f2334,plain,
    ( e20 != op2(e20,e21)
    | ~ spl18_170 ),
    inference(forward_demodulation,[],[f212,f1143]) ).

fof(f212,plain,
    op2(e20,e21) != op2(e20,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2369,plain,
    ( spl18_100
    | ~ spl18_176
    | ~ spl18_257 ),
    inference(avatar_contradiction_clause,[],[f2368]) ).

fof(f2368,plain,
    ( $false
    | spl18_100
    | ~ spl18_176
    | ~ spl18_257 ),
    inference(subsumption_resolution,[],[f2367,f829]) ).

fof(f2367,plain,
    ( e20 = op2(e20,e22)
    | ~ spl18_176
    | ~ spl18_257 ),
    inference(forward_demodulation,[],[f1587,f1171]) ).

fof(f2366,plain,
    ( spl18_173
    | ~ spl18_178
    | ~ spl18_214 ),
    inference(avatar_contradiction_clause,[],[f2365]) ).

fof(f2365,plain,
    ( $false
    | spl18_173
    | ~ spl18_178
    | ~ spl18_214 ),
    inference(subsumption_resolution,[],[f2362,f1155]) ).

fof(f1155,plain,
    ( e11 != op1(e11,e10)
    | spl18_173 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f1154,plain,
    ( spl18_173
  <=> e11 = op1(e11,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_173])]) ).

fof(f2362,plain,
    ( e11 = op1(e11,e10)
    | ~ spl18_178
    | ~ spl18_214 ),
    inference(backward_demodulation,[],[f1182,f1348]) ).

fof(f1182,plain,
    ( e11 = op1(e11,op1(e11,e11))
    | ~ spl18_178 ),
    inference(avatar_component_clause,[],[f1180]) ).

fof(f1180,plain,
    ( spl18_178
  <=> e11 = op1(e11,op1(e11,e11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_178])]) ).

fof(f2315,plain,
    ( ~ spl18_146
    | ~ spl18_242 ),
    inference(avatar_contradiction_clause,[],[f2314]) ).

fof(f2314,plain,
    ( $false
    | ~ spl18_146
    | ~ spl18_242 ),
    inference(subsumption_resolution,[],[f2313,f220]) ).

fof(f2313,plain,
    ( e20 = e23
    | ~ spl18_146
    | ~ spl18_242 ),
    inference(forward_demodulation,[],[f2310,f1036]) ).

fof(f1036,plain,
    ( e20 = op2(e21,e20)
    | ~ spl18_146 ),
    inference(avatar_component_clause,[],[f1034]) ).

fof(f1034,plain,
    ( spl18_146
  <=> e20 = op2(e21,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_146])]) ).

fof(f2312,plain,
    ( spl18_153
    | ~ spl18_242 ),
    inference(avatar_split_clause,[],[f2309,f1498,f1064]) ).

fof(f2309,plain,
    ( e21 = op2(e22,e20)
    | ~ spl18_242 ),
    inference(backward_demodulation,[],[f1898,f1499]) ).

fof(f1898,plain,
    e21 = op2(e22,h3(e10)),
    inference(backward_demodulation,[],[f227,f218]) ).

fof(f2303,plain,
    ( ~ spl18_179
    | ~ spl18_176 ),
    inference(avatar_split_clause,[],[f2302,f1169,f1185]) ).

fof(f2302,plain,
    ( e22 != h1(e10)
    | ~ spl18_176 ),
    inference(backward_demodulation,[],[f1289,f1171]) ).

fof(f2301,plain,
    ( ~ spl18_158
    | ~ spl18_159 ),
    inference(avatar_contradiction_clause,[],[f2300]) ).

fof(f2300,plain,
    ( $false
    | ~ spl18_158
    | ~ spl18_159 ),
    inference(subsumption_resolution,[],[f2299,f1094]) ).

fof(f2299,plain,
    ( e22 != op2(e21,e22)
    | ~ spl18_158 ),
    inference(forward_demodulation,[],[f197,f1090]) ).

fof(f1090,plain,
    ( e22 = op2(e23,e22)
    | ~ spl18_158 ),
    inference(avatar_component_clause,[],[f1088]) ).

fof(f1088,plain,
    ( spl18_158
  <=> e22 = op2(e23,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_158])]) ).

fof(f197,plain,
    op2(e21,e22) != op2(e23,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f2296,plain,
    ( ~ spl18_55
    | ~ spl18_172 ),
    inference(avatar_contradiction_clause,[],[f2295]) ).

fof(f2295,plain,
    ( $false
    | ~ spl18_55
    | ~ spl18_172 ),
    inference(subsumption_resolution,[],[f2294,f1152]) ).

fof(f1152,plain,
    ( e11 = op1(e11,e12)
    | ~ spl18_172 ),
    inference(avatar_component_clause,[],[f1150]) ).

fof(f2294,plain,
    ( e11 != op1(e11,e12)
    | ~ spl18_55 ),
    inference(forward_demodulation,[],[f383,f631]) ).

fof(f2277,plain,
    ( ~ spl18_106
    | ~ spl18_107 ),
    inference(avatar_contradiction_clause,[],[f2276]) ).

fof(f2276,plain,
    ( $false
    | ~ spl18_106
    | ~ spl18_107 ),
    inference(subsumption_resolution,[],[f2275,f264]) ).

fof(f264,plain,
    e11 != e12,
    inference(cnf_transformation,[],[f7]) ).

fof(f2275,plain,
    ( e11 = e12
    | ~ spl18_106
    | ~ spl18_107 ),
    inference(forward_demodulation,[],[f862,f858]) ).

fof(f858,plain,
    ( e11 = op1(e12,e10)
    | ~ spl18_106 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f856,plain,
    ( spl18_106
  <=> e11 = op1(e12,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_106])]) ).

fof(f862,plain,
    ( e12 = op1(e12,e10)
    | ~ spl18_107 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f860,plain,
    ( spl18_107
  <=> e12 = op1(e12,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_107])]) ).

fof(f2269,plain,
    ( spl18_181
    | ~ spl18_98
    | ~ spl18_282 ),
    inference(avatar_split_clause,[],[f2268,f1751,f819,f1196]) ).

fof(f819,plain,
    ( spl18_98
  <=> e10 = op1(e10,op1(e11,e10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_98])]) ).

fof(f2268,plain,
    ( e10 = op1(e10,e13)
    | ~ spl18_98
    | ~ spl18_282 ),
    inference(backward_demodulation,[],[f821,f1753]) ).

fof(f821,plain,
    ( e10 = op1(e10,op1(e11,e10))
    | ~ spl18_98 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f2209,plain,
    ( ~ spl18_156
    | ~ spl18_208 ),
    inference(avatar_contradiction_clause,[],[f2208]) ).

fof(f2208,plain,
    ( $false
    | ~ spl18_156
    | ~ spl18_208 ),
    inference(subsumption_resolution,[],[f2207,f269]) ).

fof(f269,plain,
    e11 != e13,
    inference(cnf_transformation,[],[f7]) ).

fof(f2207,plain,
    ( e11 = e13
    | ~ spl18_156
    | ~ spl18_208 ),
    inference(backward_demodulation,[],[f1316,f1079]) ).

fof(f1316,plain,
    ( e13 = op1(e13,e11)
    | ~ spl18_208 ),
    inference(avatar_component_clause,[],[f1314]) ).

fof(f2201,plain,
    ( ~ spl18_212
    | ~ spl18_2 ),
    inference(avatar_split_clause,[],[f2200,f403,f1334]) ).

fof(f2200,plain,
    ( e10 != op1(e10,e10)
    | ~ spl18_2 ),
    inference(forward_demodulation,[],[f364,f405]) ).

fof(f364,plain,
    op1(e10,e10) != op1(e13,e10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2179,plain,
    ( ~ spl18_2
    | ~ spl18_54
    | ~ spl18_59 ),
    inference(avatar_contradiction_clause,[],[f2178]) ).

fof(f2178,plain,
    ( $false
    | ~ spl18_2
    | ~ spl18_54
    | ~ spl18_59 ),
    inference(subsumption_resolution,[],[f2177,f268]) ).

fof(f2177,plain,
    ( e10 = e13
    | ~ spl18_2
    | ~ spl18_54
    | ~ spl18_59 ),
    inference(forward_demodulation,[],[f2176,f405]) ).

fof(f2176,plain,
    ( e13 = op1(e13,e10)
    | ~ spl18_54
    | ~ spl18_59 ),
    inference(forward_demodulation,[],[f650,f627]) ).

fof(f650,plain,
    ( e13 = op1(e13,op1(e11,e13))
    | ~ spl18_59 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f648,plain,
    ( spl18_59
  <=> e13 = op1(e13,op1(e11,e13)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_59])]) ).

fof(f2172,plain,
    ( spl18_73
    | ~ spl18_106
    | ~ spl18_246 ),
    inference(avatar_contradiction_clause,[],[f2171]) ).

fof(f2171,plain,
    ( $false
    | spl18_73
    | ~ spl18_106
    | ~ spl18_246 ),
    inference(subsumption_resolution,[],[f2170,f1898]) ).

fof(f2170,plain,
    ( e21 != op2(e22,h3(e10))
    | spl18_73
    | ~ spl18_106
    | ~ spl18_246 ),
    inference(backward_demodulation,[],[f2070,f1522]) ).

fof(f2070,plain,
    ( e21 != op2(h3(e12),h3(e10))
    | spl18_73
    | ~ spl18_106 ),
    inference(forward_demodulation,[],[f2069,f1601]) ).

fof(f2069,plain,
    ( h3(e11) != op2(h3(e12),h3(e10))
    | spl18_73
    | ~ spl18_106 ),
    inference(forward_demodulation,[],[f712,f858]) ).

fof(f712,plain,
    ( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
    | spl18_73 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f710,plain,
    ( spl18_73
  <=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_73])]) ).

fof(f2159,plain,
    ( ~ spl18_282
    | ~ spl18_142 ),
    inference(avatar_split_clause,[],[f2157,f1015,f1751]) ).

fof(f1015,plain,
    ( spl18_142
  <=> op1(e10,e10) = e13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_142])]) ).

fof(f2157,plain,
    ( e13 != op1(e11,e10)
    | ~ spl18_142 ),
    inference(backward_demodulation,[],[f373,f1017]) ).

fof(f1017,plain,
    ( op1(e10,e10) = e13
    | ~ spl18_142 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f373,plain,
    op1(e10,e10) != op1(e11,e10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2153,plain,
    ( ~ spl18_62
    | ~ spl18_64 ),
    inference(avatar_contradiction_clause,[],[f2152]) ).

fof(f2152,plain,
    ( $false
    | ~ spl18_62
    | ~ spl18_64 ),
    inference(subsumption_resolution,[],[f2151,f265]) ).

fof(f265,plain,
    e12 != e13,
    inference(cnf_transformation,[],[f7]) ).

fof(f2151,plain,
    ( e12 = e13
    | ~ spl18_62
    | ~ spl18_64 ),
    inference(backward_demodulation,[],[f663,f671]) ).

fof(f663,plain,
    ( e13 = op1(e12,e11)
    | ~ spl18_62 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f661,plain,
    ( spl18_62
  <=> e13 = op1(e12,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_62])]) ).

fof(f2128,plain,
    ( ~ spl18_268
    | ~ spl18_141 ),
    inference(avatar_split_clause,[],[f2123,f1011,f1651]) ).

fof(f1011,plain,
    ( spl18_141
  <=> e13 = op1(e10,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_141])]) ).

fof(f2123,plain,
    ( e13 != op1(e13,e12)
    | ~ spl18_141 ),
    inference(backward_demodulation,[],[f363,f1013]) ).

fof(f1013,plain,
    ( e13 = op1(e10,e12)
    | ~ spl18_141 ),
    inference(avatar_component_clause,[],[f1011]) ).

fof(f363,plain,
    op1(e10,e12) != op1(e13,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2115,plain,
    ( ~ spl18_242
    | ~ spl18_96 ),
    inference(avatar_split_clause,[],[f2112,f810,f1498]) ).

fof(f810,plain,
    ( spl18_96
  <=> e20 = op2(e22,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_96])]) ).

fof(f2112,plain,
    ( e20 != h3(e10)
    | ~ spl18_96 ),
    inference(backward_demodulation,[],[f1895,f812]) ).

fof(f812,plain,
    ( e20 = op2(e22,e21)
    | ~ spl18_96 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f1895,plain,
    op2(e22,e21) != h3(e10),
    inference(backward_demodulation,[],[f191,f218]) ).

fof(f191,plain,
    op2(e22,e21) != op2(e22,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f2111,plain,
    ( spl18_301
    | ~ spl18_135 ),
    inference(avatar_split_clause,[],[f2110,f982,f1887]) ).

fof(f982,plain,
    ( spl18_135
  <=> e23 = op2(e23,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_135])]) ).

fof(f2110,plain,
    ( e23 = h4(e10)
    | ~ spl18_135 ),
    inference(backward_demodulation,[],[f63,f984]) ).

fof(f984,plain,
    ( e23 = op2(e23,e23)
    | ~ spl18_135 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f2104,plain,
    ( ~ spl18_145
    | ~ spl18_94 ),
    inference(avatar_split_clause,[],[f2102,f802,f1030]) ).

fof(f2102,plain,
    ( e20 != h1(e10)
    | ~ spl18_94 ),
    inference(backward_demodulation,[],[f1081,f804]) ).

fof(f804,plain,
    ( e20 = op2(e20,e21)
    | ~ spl18_94 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f1081,plain,
    op2(e20,e21) != h1(e10),
    inference(forward_demodulation,[],[f181,f263]) ).

fof(f181,plain,
    op2(e20,e20) != op2(e20,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f2098,plain,
    ( spl18_175
    | ~ spl18_54
    | ~ spl18_55 ),
    inference(avatar_split_clause,[],[f2097,f629,f625,f1164]) ).

fof(f2097,plain,
    ( e10 = e11
    | ~ spl18_54
    | ~ spl18_55 ),
    inference(forward_demodulation,[],[f631,f627]) ).

fof(f2094,plain,
    ( spl18_242
    | ~ spl18_102 ),
    inference(avatar_split_clause,[],[f2093,f836,f1498]) ).

fof(f2093,plain,
    ( e20 = h3(e10)
    | ~ spl18_102 ),
    inference(backward_demodulation,[],[f218,f838]) ).

fof(f2068,plain,
    ( ~ spl18_97
    | ~ spl18_138 ),
    inference(avatar_contradiction_clause,[],[f2067]) ).

fof(f2067,plain,
    ( $false
    | ~ spl18_97
    | ~ spl18_138 ),
    inference(subsumption_resolution,[],[f2066,f220]) ).

fof(f2066,plain,
    ( e20 = e23
    | ~ spl18_97
    | ~ spl18_138 ),
    inference(forward_demodulation,[],[f996,f816]) ).

fof(f996,plain,
    ( e23 = op2(e23,e21)
    | ~ spl18_138 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f2025,plain,
    ( ~ spl18_214
    | ~ spl18_54 ),
    inference(avatar_split_clause,[],[f2020,f625,f1346]) ).

fof(f2020,plain,
    ( e10 != op1(e11,e11)
    | ~ spl18_54 ),
    inference(backward_demodulation,[],[f382,f627]) ).

fof(f382,plain,
    op1(e11,e11) != op1(e11,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2011,plain,
    ( ~ spl18_147
    | ~ spl18_97 ),
    inference(avatar_split_clause,[],[f2003,f814,f1038]) ).

fof(f2003,plain,
    ( e20 != op2(e23,e20)
    | ~ spl18_97 ),
    inference(backward_demodulation,[],[f211,f816]) ).

fof(f211,plain,
    op2(e23,e20) != op2(e23,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f2007,plain,
    ( ~ spl18_296
    | ~ spl18_97 ),
    inference(avatar_split_clause,[],[f2006,f814,f1844]) ).

fof(f2006,plain,
    ( e20 != h4(e10)
    | ~ spl18_97 ),
    inference(backward_demodulation,[],[f1884,f816]) ).

fof(f1884,plain,
    op2(e23,e21) != h4(e10),
    inference(forward_demodulation,[],[f192,f63]) ).

fof(f192,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f1976,plain,
    ( ~ spl18_229
    | ~ spl18_37 ),
    inference(avatar_split_clause,[],[f1967,f550,f1419]) ).

fof(f550,plain,
    ( spl18_37
  <=> e21 = op2(e23,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_37])]) ).

fof(f1967,plain,
    ( e21 != op2(e23,e21)
    | ~ spl18_37 ),
    inference(backward_demodulation,[],[f169,f552]) ).

fof(f552,plain,
    ( e21 = op2(e23,e22)
    | ~ spl18_37 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f169,plain,
    op2(e23,e21) != op2(e23,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f1974,plain,
    ( ~ spl18_39
    | ~ spl18_37 ),
    inference(avatar_split_clause,[],[f1969,f550,f558]) ).

fof(f1969,plain,
    ( e21 != op2(e20,e22)
    | ~ spl18_37 ),
    inference(backward_demodulation,[],[f176,f552]) ).

fof(f1964,plain,
    ( ~ spl18_4
    | ~ spl18_106 ),
    inference(avatar_split_clause,[],[f1956,f856,f411]) ).

fof(f411,plain,
    ( spl18_4
  <=> e11 = op1(e13,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_4])]) ).

fof(f1956,plain,
    ( e11 != op1(e13,e10)
    | ~ spl18_106 ),
    inference(backward_demodulation,[],[f392,f858]) ).

fof(f392,plain,
    op1(e12,e10) != op1(e13,e10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1963,plain,
    ( spl18_282
    | ~ spl18_106 ),
    inference(avatar_split_clause,[],[f1958,f856,f1751]) ).

fof(f1958,plain,
    ( e13 = op1(e11,e10)
    | ~ spl18_106 ),
    inference(backward_demodulation,[],[f1871,f858]) ).

fof(f1871,plain,
    e13 = op1(op1(e12,e10),e10),
    inference(forward_demodulation,[],[f65,f64]) ).

fof(f65,plain,
    e13 = op1(op1(e12,op1(e12,e12)),op1(e12,e12)),
    inference(cnf_transformation,[],[f12]) ).

fof(f1962,plain,
    ( ~ spl18_211
    | ~ spl18_106 ),
    inference(avatar_split_clause,[],[f1957,f856,f1330]) ).

fof(f1330,plain,
    ( spl18_211
  <=> op1(e10,e10) = e11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_211])]) ).

fof(f1957,plain,
    ( op1(e10,e10) != e11
    | ~ spl18_106 ),
    inference(backward_demodulation,[],[f397,f858]) ).

fof(f397,plain,
    op1(e10,e10) != op1(e12,e10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1961,plain,
    ( ~ spl18_173
    | ~ spl18_106 ),
    inference(avatar_split_clause,[],[f1954,f856,f1154]) ).

fof(f1954,plain,
    ( e11 != op1(e11,e10)
    | ~ spl18_106 ),
    inference(backward_demodulation,[],[f362,f858]) ).

fof(f362,plain,
    op1(e11,e10) != op1(e12,e10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1960,plain,
    ( ~ spl18_61
    | ~ spl18_106 ),
    inference(avatar_split_clause,[],[f1955,f856,f657]) ).

fof(f657,plain,
    ( spl18_61
  <=> e11 = op1(e12,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_61])]) ).

fof(f1955,plain,
    ( e11 != op1(e12,e11)
    | ~ spl18_106 ),
    inference(backward_demodulation,[],[f365,f858]) ).

fof(f365,plain,
    op1(e12,e10) != op1(e12,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f1959,plain,
    ( ~ spl18_131
    | ~ spl18_106 ),
    inference(avatar_split_clause,[],[f1953,f856,f962]) ).

fof(f962,plain,
    ( spl18_131
  <=> e11 = op1(e12,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_131])]) ).

fof(f1953,plain,
    ( e11 != op1(e12,e13)
    | ~ spl18_106 ),
    inference(backward_demodulation,[],[f360,f858]) ).

fof(f360,plain,
    op1(e12,e10) != op1(e12,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f1951,plain,
    ( ~ spl18_262
    | ~ spl18_168 ),
    inference(avatar_split_clause,[],[f1941,f1133,f1615]) ).

fof(f1941,plain,
    ( e22 != op2(e22,e23)
    | ~ spl18_168 ),
    inference(backward_demodulation,[],[f214,f1135]) ).

fof(f214,plain,
    op2(e20,e23) != op2(e22,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f1940,plain,
    ( spl18_145
    | ~ spl18_7 ),
    inference(avatar_split_clause,[],[f1939,f425,f1030]) ).

fof(f1939,plain,
    ( e20 = h1(e10)
    | ~ spl18_7 ),
    inference(backward_demodulation,[],[f263,f427]) ).

fof(f1937,plain,
    ( spl18_176
    | spl18_285
    | spl18_147
    | spl18_137 ),
    inference(avatar_split_clause,[],[f253,f990,f1038,f1782,f1169]) ).

fof(f253,plain,
    ( e23 = op2(e23,e20)
    | e20 = op2(e23,e20)
    | e21 = op2(e23,e20)
    | e22 = op2(e23,e20) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( ( e21 = op2(e22,e23)
      | e22 = op2(e22,e23)
      | e23 = op2(e22,e23)
      | e20 = op2(e22,e23) )
    & ( e22 = op2(e21,e23)
      | e23 = op2(e21,e23)
      | e20 = op2(e21,e23)
      | e21 = op2(e21,e23) )
    & ( e22 = op2(e20,e21)
      | e21 = op2(e20,e21)
      | e23 = op2(e20,e21)
      | e20 = op2(e20,e21) )
    & ( e21 = op2(e23,e23)
      | e23 = op2(e23,e23)
      | e22 = op2(e23,e23)
      | e20 = op2(e23,e23) )
    & ( e23 = op2(e22,e22)
      | e21 = op2(e22,e22)
      | e22 = op2(e22,e22)
      | e20 = op2(e22,e22) )
    & ( e21 = op2(e23,e21)
      | e23 = op2(e23,e21)
      | e20 = op2(e23,e21)
      | e22 = op2(e23,e21) )
    & ( e23 = op2(e23,e20)
      | e22 = op2(e23,e20)
      | e20 = op2(e23,e20)
      | e21 = op2(e23,e20) )
    & ( e21 = op2(e23,e22)
      | e20 = op2(e23,e22)
      | e22 = op2(e23,e22)
      | e23 = op2(e23,e22) )
    & ( op2(e20,e20) = e22
      | op2(e20,e20) = e21
      | e20 = op2(e20,e20)
      | op2(e20,e20) = e23 )
    & ( e20 = op2(e22,e20)
      | e21 = op2(e22,e20)
      | e22 = op2(e22,e20)
      | e23 = op2(e22,e20) )
    & ( e23 = op2(e21,e22)
      | e20 = op2(e21,e22)
      | e22 = op2(e21,e22)
      | e21 = op2(e21,e22) )
    & ( e21 = op2(e21,e20)
      | e23 = op2(e21,e20)
      | e20 = op2(e21,e20)
      | e22 = op2(e21,e20) )
    & ( e20 = op2(e20,e22)
      | e21 = op2(e20,e22)
      | e22 = op2(e20,e22)
      | e23 = op2(e20,e22) )
    & ( e22 = op2(e21,e21)
      | e21 = op2(e21,e21)
      | e23 = op2(e21,e21)
      | e20 = op2(e21,e21) )
    & ( e21 = op2(e22,e21)
      | e22 = op2(e22,e21)
      | e20 = op2(e22,e21)
      | e23 = op2(e22,e21) )
    & ( e22 = op2(e20,e23)
      | e21 = op2(e20,e23)
      | e20 = op2(e20,e23)
      | e23 = op2(e20,e23) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(f1936,plain,
    ( spl18_131
    | spl18_270
    | spl18_223
    | spl18_49 ),
    inference(avatar_split_clause,[],[f242,f604,f1387,f1665,f962]) ).

fof(f1665,plain,
    ( spl18_270
  <=> e10 = op1(e12,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_270])]) ).

fof(f242,plain,
    ( e12 = op1(e12,e13)
    | e13 = op1(e12,e13)
    | e10 = op1(e12,e13)
    | e11 = op1(e12,e13) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( ( e12 = op1(e11,e13)
      | e10 = op1(e11,e13)
      | e13 = op1(e11,e13)
      | e11 = op1(e11,e13) )
    & ( e10 = op1(e12,e13)
      | e13 = op1(e12,e13)
      | e11 = op1(e12,e13)
      | e12 = op1(e12,e13) )
    & ( e12 = op1(e11,e11)
      | e10 = op1(e11,e11)
      | e13 = op1(e11,e11)
      | e11 = op1(e11,e11) )
    & ( e10 = op1(e10,e13)
      | e12 = op1(e10,e13)
      | e13 = op1(e10,e13)
      | e11 = op1(e10,e13) )
    & ( e11 = op1(e12,e12)
      | e10 = op1(e12,e12)
      | e12 = op1(e12,e12)
      | e13 = op1(e12,e12) )
    & ( e10 = op1(e10,e12)
      | e12 = op1(e10,e12)
      | e11 = op1(e10,e12)
      | e13 = op1(e10,e12) )
    & ( e11 = op1(e13,e10)
      | e10 = op1(e13,e10)
      | e13 = op1(e13,e10)
      | e12 = op1(e13,e10) )
    & ( e11 = op1(e12,e11)
      | e10 = op1(e12,e11)
      | e12 = op1(e12,e11)
      | e13 = op1(e12,e11) )
    & ( e11 = op1(e13,e12)
      | e13 = op1(e13,e12)
      | e10 = op1(e13,e12)
      | e12 = op1(e13,e12) )
    & ( e11 = op1(e12,e10)
      | e13 = op1(e12,e10)
      | e12 = op1(e12,e10)
      | e10 = op1(e12,e10) )
    & ( e10 = op1(e13,e13)
      | e13 = op1(e13,e13)
      | e11 = op1(e13,e13)
      | e12 = op1(e13,e13) )
    & ( e12 = op1(e13,e11)
      | e11 = op1(e13,e11)
      | e13 = op1(e13,e11)
      | e10 = op1(e13,e11) )
    & ( e11 = op1(e11,e10)
      | e13 = op1(e11,e10)
      | e12 = op1(e11,e10)
      | e10 = op1(e11,e10) )
    & ( e10 = op1(e10,e11)
      | e13 = op1(e10,e11)
      | e11 = op1(e10,e11)
      | e12 = op1(e10,e11) )
    & ( e10 = op1(e10,e10)
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( e13 = op1(e11,e12)
      | e11 = op1(e11,e12)
      | e10 = op1(e11,e12)
      | e12 = op1(e11,e12) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(f1905,plain,
    ( ~ spl18_162
    | spl18_302 ),
    inference(avatar_split_clause,[],[f140,f1902,f1106]) ).

fof(f1106,plain,
    ( spl18_162
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_162])]) ).

fof(f140,plain,
    ( e21 = op2(e21,op2(e20,e21))
    | ~ sP13 ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ( ( e20 = op2(e20,op2(e20,e20))
      & e22 = op2(e22,op2(e20,e22))
      & e21 = op2(e21,op2(e20,e21))
      & e23 = op2(e23,op2(e20,e23)) )
    | ~ sP13 ),
    inference(nnf_transformation,[],[f35]) ).

fof(f35,plain,
    ( ( e20 = op2(e20,op2(e20,e20))
      & e22 = op2(e22,op2(e20,e22))
      & e21 = op2(e21,op2(e20,e21))
      & e23 = op2(e23,op2(e20,e23)) )
    | ~ sP13 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f1900,plain,
    ( spl18_156
    | spl18_174
    | spl18_61
    | spl18_68 ),
    inference(avatar_split_clause,[],[f315,f686,f657,f1158,f1077]) ).

fof(f315,plain,
    ( e11 = op1(e10,e11)
    | e11 = op1(e12,e11)
    | e11 = op1(e11,e11)
    | e11 = op1(e13,e11) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( ( e13 = op1(e11,e12)
      | e13 = op1(e11,e11)
      | e13 = op1(e11,e13)
      | e13 = op1(e11,e10) )
    & ( e10 = op1(e13,e13)
      | e10 = op1(e13,e12)
      | e10 = op1(e13,e11)
      | e10 = op1(e13,e10) )
    & ( e11 = op1(e12,e11)
      | e11 = op1(e13,e11)
      | e11 = op1(e10,e11)
      | e11 = op1(e11,e11) )
    & ( e13 = op1(e11,e11)
      | e13 = op1(e10,e11)
      | e13 = op1(e13,e11)
      | e13 = op1(e12,e11) )
    & ( e11 = op1(e13,e13)
      | e11 = op1(e13,e12)
      | e11 = op1(e13,e10)
      | e11 = op1(e13,e11) )
    & ( e11 = op1(e12,e12)
      | e11 = op1(e11,e12)
      | e11 = op1(e13,e12)
      | e11 = op1(e10,e12) )
    & ( e11 = op1(e11,e12)
      | e11 = op1(e11,e13)
      | e11 = op1(e11,e10)
      | e11 = op1(e11,e11) )
    & ( e12 = op1(e12,e10)
      | e12 = op1(e13,e10)
      | e12 = op1(e11,e10)
      | op1(e10,e10) = e12 )
    & ( e13 = op1(e10,e12)
      | op1(e10,e10) = e13
      | e13 = op1(e10,e11)
      | e13 = op1(e10,e13) )
    & ( e10 = op1(e10,e12)
      | e10 = op1(e10,e10)
      | e10 = op1(e10,e11)
      | e10 = op1(e10,e13) )
    & ( e10 = op1(e13,e13)
      | e10 = op1(e12,e13)
      | e10 = op1(e11,e13)
      | e10 = op1(e10,e13) )
    & ( e11 = op1(e10,e12)
      | e11 = op1(e10,e11)
      | e11 = op1(e10,e13)
      | op1(e10,e10) = e11 )
    & ( e12 = op1(e12,e12)
      | e12 = op1(e12,e11)
      | e12 = op1(e12,e13)
      | e12 = op1(e12,e10) )
    & ( e13 = op1(e12,e12)
      | e13 = op1(e12,e13)
      | e13 = op1(e12,e10)
      | e13 = op1(e12,e11) )
    & ( e12 = op1(e11,e12)
      | e12 = op1(e12,e12)
      | e12 = op1(e10,e12)
      | e12 = op1(e13,e12) )
    & ( e12 = op1(e10,e12)
      | e12 = op1(e10,e11)
      | e12 = op1(e10,e13)
      | op1(e10,e10) = e12 )
    & ( e10 = op1(e12,e13)
      | e10 = op1(e12,e11)
      | e10 = op1(e12,e12)
      | e10 = op1(e12,e10) )
    & ( e12 = op1(e11,e10)
      | e12 = op1(e11,e12)
      | e12 = op1(e11,e13)
      | e12 = op1(e11,e11) )
    & ( e11 = op1(e13,e13)
      | e11 = op1(e11,e13)
      | e11 = op1(e12,e13)
      | e11 = op1(e10,e13) )
    & ( e12 = op1(e13,e13)
      | e12 = op1(e12,e13)
      | e12 = op1(e10,e13)
      | e12 = op1(e11,e13) )
    & ( e11 = op1(e12,e11)
      | e11 = op1(e12,e10)
      | e11 = op1(e12,e13)
      | e11 = op1(e12,e12) )
    & ( e13 = op1(e13,e12)
      | e13 = op1(e13,e10)
      | e13 = op1(e13,e11)
      | e13 = op1(e13,e13) )
    & ( e12 = op1(e13,e11)
      | e12 = op1(e13,e10)
      | e12 = op1(e13,e13)
      | e12 = op1(e13,e12) )
    & ( e10 = op1(e11,e11)
      | e10 = op1(e11,e12)
      | e10 = op1(e11,e10)
      | e10 = op1(e11,e13) )
    & ( e13 = op1(e13,e13)
      | e13 = op1(e10,e13)
      | e13 = op1(e12,e13)
      | e13 = op1(e11,e13) )
    & ( e13 = op1(e13,e10)
      | e13 = op1(e12,e10)
      | op1(e10,e10) = e13
      | e13 = op1(e11,e10) )
    & ( e10 = op1(e13,e12)
      | e10 = op1(e10,e12)
      | e10 = op1(e12,e12)
      | e10 = op1(e11,e12) )
    & ( e10 = op1(e11,e10)
      | e10 = op1(e12,e10)
      | e10 = op1(e10,e10)
      | e10 = op1(e13,e10) )
    & ( e13 = op1(e13,e12)
      | e13 = op1(e10,e12)
      | e13 = op1(e11,e12)
      | e13 = op1(e12,e12) )
    & ( e10 = op1(e11,e11)
      | e10 = op1(e12,e11)
      | e10 = op1(e13,e11)
      | e10 = op1(e10,e11) )
    & ( e12 = op1(e13,e11)
      | e12 = op1(e11,e11)
      | e12 = op1(e12,e11)
      | e12 = op1(e10,e11) )
    & ( e11 = op1(e11,e10)
      | e11 = op1(e12,e10)
      | e11 = op1(e13,e10)
      | op1(e10,e10) = e11 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(f1885,plain,
    ( spl18_279
    | spl18_240
    | spl18_261
    | spl18_170 ),
    inference(avatar_split_clause,[],[f348,f1141,f1610,f1485,f1728]) ).

fof(f348,plain,
    ( e20 = op2(e20,e23)
    | e20 = op2(e23,e23)
    | e20 = op2(e21,e23)
    | e20 = op2(e22,e23) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( ( e21 = op2(e22,e21)
      | e21 = op2(e22,e23)
      | e21 = op2(e22,e20)
      | e21 = op2(e22,e22) )
    & ( e20 = op2(e21,e23)
      | e20 = op2(e22,e23)
      | e20 = op2(e23,e23)
      | e20 = op2(e20,e23) )
    & ( e21 = op2(e20,e22)
      | e21 = op2(e20,e23)
      | e21 = op2(e20,e21)
      | op2(e20,e20) = e21 )
    & ( e20 = op2(e20,e20)
      | e20 = op2(e20,e22)
      | e20 = op2(e20,e21)
      | e20 = op2(e20,e23) )
    & ( e22 = op2(e23,e21)
      | e22 = op2(e21,e21)
      | e22 = op2(e22,e21)
      | e22 = op2(e20,e21) )
    & ( e21 = op2(e23,e20)
      | e21 = op2(e23,e21)
      | e21 = op2(e23,e23)
      | e21 = op2(e23,e22) )
    & ( e20 = op2(e23,e20)
      | e20 = op2(e23,e23)
      | e20 = op2(e23,e22)
      | e20 = op2(e23,e21) )
    & ( op2(e20,e20) = e22
      | e22 = op2(e21,e20)
      | e22 = op2(e22,e20)
      | e22 = op2(e23,e20) )
    & ( e20 = op2(e23,e22)
      | e20 = op2(e20,e22)
      | e20 = op2(e21,e22)
      | e20 = op2(e22,e22) )
    & ( e21 = op2(e21,e23)
      | e21 = op2(e20,e23)
      | e21 = op2(e22,e23)
      | e21 = op2(e23,e23) )
    & ( e22 = op2(e21,e21)
      | e22 = op2(e21,e20)
      | e22 = op2(e21,e23)
      | e22 = op2(e21,e22) )
    & ( e23 = op2(e23,e21)
      | e23 = op2(e23,e22)
      | e23 = op2(e23,e20)
      | e23 = op2(e23,e23) )
    & ( e20 = op2(e22,e20)
      | e20 = op2(e23,e20)
      | e20 = op2(e21,e20)
      | e20 = op2(e20,e20) )
    & ( e22 = op2(e22,e23)
      | e22 = op2(e20,e23)
      | e22 = op2(e23,e23)
      | e22 = op2(e21,e23) )
    & ( e21 = op2(e23,e20)
      | op2(e20,e20) = e21
      | e21 = op2(e21,e20)
      | e21 = op2(e22,e20) )
    & ( e22 = op2(e22,e22)
      | e22 = op2(e20,e22)
      | e22 = op2(e23,e22)
      | e22 = op2(e21,e22) )
    & ( e21 = op2(e20,e22)
      | e21 = op2(e23,e22)
      | e21 = op2(e21,e22)
      | e21 = op2(e22,e22) )
    & ( e23 = op2(e22,e23)
      | e23 = op2(e20,e23)
      | e23 = op2(e21,e23)
      | e23 = op2(e23,e23) )
    & ( e23 = op2(e20,e22)
      | e23 = op2(e20,e23)
      | e23 = op2(e20,e21)
      | op2(e20,e20) = e23 )
    & ( e22 = op2(e23,e21)
      | e22 = op2(e23,e20)
      | e22 = op2(e23,e23)
      | e22 = op2(e23,e22) )
    & ( e23 = op2(e21,e20)
      | e23 = op2(e21,e23)
      | e23 = op2(e21,e22)
      | e23 = op2(e21,e21) )
    & ( e23 = op2(e20,e21)
      | e23 = op2(e21,e21)
      | e23 = op2(e23,e21)
      | e23 = op2(e22,e21) )
    & ( e20 = op2(e22,e20)
      | e20 = op2(e22,e22)
      | e20 = op2(e22,e21)
      | e20 = op2(e22,e23) )
    & ( e23 = op2(e21,e20)
      | op2(e20,e20) = e23
      | e23 = op2(e22,e20)
      | e23 = op2(e23,e20) )
    & ( e22 = op2(e20,e22)
      | op2(e20,e20) = e22
      | e22 = op2(e20,e21)
      | e22 = op2(e20,e23) )
    & ( e20 = op2(e21,e20)
      | e20 = op2(e21,e21)
      | e20 = op2(e21,e23)
      | e20 = op2(e21,e22) )
    & ( e21 = op2(e20,e21)
      | e21 = op2(e23,e21)
      | e21 = op2(e21,e21)
      | e21 = op2(e22,e21) )
    & ( e22 = op2(e22,e21)
      | e22 = op2(e22,e23)
      | e22 = op2(e22,e22)
      | e22 = op2(e22,e20) )
    & ( e21 = op2(e21,e20)
      | e21 = op2(e21,e21)
      | e21 = op2(e21,e23)
      | e21 = op2(e21,e22) )
    & ( e20 = op2(e20,e21)
      | e20 = op2(e22,e21)
      | e20 = op2(e23,e21)
      | e20 = op2(e21,e21) )
    & ( e23 = op2(e22,e21)
      | e23 = op2(e22,e23)
      | e23 = op2(e22,e20)
      | e23 = op2(e22,e22) )
    & ( e23 = op2(e22,e22)
      | e23 = op2(e20,e22)
      | e23 = op2(e23,e22)
      | e23 = op2(e21,e22) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

fof(f1870,plain,
    ~ spl18_44,
    inference(avatar_split_clause,[],[f1869,f580]) ).

fof(f580,plain,
    ( spl18_44
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_44])]) ).

fof(f1869,plain,
    ~ sP12,
    inference(subsumption_resolution,[],[f1868,f221]) ).

fof(f1868,plain,
    ( e21 = e22
    | ~ sP12 ),
    inference(forward_demodulation,[],[f143,f227]) ).

fof(f143,plain,
    ( ~ sP12
    | e22 = op2(e22,op2(e22,e22)) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ( ( e21 = op2(e21,op2(e22,e21))
      & e23 = op2(e23,op2(e22,e23))
      & e20 = op2(e20,op2(e22,e20))
      & e22 = op2(e22,op2(e22,e22)) )
    | ~ sP12 ),
    inference(nnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( ( e21 = op2(e21,op2(e22,e21))
      & e23 = op2(e23,op2(e22,e23))
      & e20 = op2(e20,op2(e22,e20))
      & e22 = op2(e22,op2(e22,e22)) )
    | ~ sP12 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f1867,plain,
    ( spl18_229
    | spl18_266
    | spl18_37
    | spl18_285 ),
    inference(avatar_split_clause,[],[f344,f1782,f550,f1641,f1419]) ).

fof(f344,plain,
    ( e21 = op2(e23,e20)
    | e21 = op2(e23,e22)
    | e21 = op2(e23,e23)
    | e21 = op2(e23,e21) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f1864,plain,
    ( spl18_243
    | spl18_155
    | spl18_268 ),
    inference(avatar_split_clause,[],[f1863,f1651,f1073,f1505]) ).

fof(f1863,plain,
    ( e13 = op1(e13,e12)
    | e11 = op1(e13,e12)
    | e12 = op1(e13,e12) ),
    inference(subsumption_resolution,[],[f235,f1417]) ).

fof(f1417,plain,
    e10 != op1(e13,e12),
    inference(forward_demodulation,[],[f368,f64]) ).

fof(f368,plain,
    op1(e12,e12) != op1(e13,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f235,plain,
    ( e11 = op1(e13,e12)
    | e13 = op1(e13,e12)
    | e10 = op1(e13,e12)
    | e12 = op1(e13,e12) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1854,plain,
    ( ~ spl18_35
    | spl18_297 ),
    inference(avatar_split_clause,[],[f275,f1851,f541]) ).

fof(f541,plain,
    ( spl18_35
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_35])]) ).

fof(f275,plain,
    ( e10 = op1(e10,op1(e13,e10))
    | ~ sP16 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ( ( e12 = op1(e12,op1(e13,e12))
      & e11 = op1(e11,op1(e13,e11))
      & e10 = op1(e10,op1(e13,e10))
      & e13 = op1(e13,op1(e13,e13)) )
    | ~ sP16 ),
    inference(nnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( ( e12 = op1(e12,op1(e13,e12))
      & e11 = op1(e11,op1(e13,e11))
      & e10 = op1(e10,op1(e13,e10))
      & e13 = op1(e13,op1(e13,e13)) )
    | ~ sP16 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f1849,plain,
    ( spl18_236
    | spl18_240
    | spl18_237
    | spl18_150 ),
    inference(avatar_split_clause,[],[f258,f1051,f1471,f1485,f1460]) ).

fof(f258,plain,
    ( e21 = op2(e21,e23)
    | e22 = op2(e21,e23)
    | e20 = op2(e21,e23)
    | e23 = op2(e21,e23) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1777,plain,
    ( spl18_160
    | spl18_39
    | spl18_100
    | spl18_264 ),
    inference(avatar_split_clause,[],[f247,f1627,f828,f558,f1096]) ).

fof(f247,plain,
    ( e23 = op2(e20,e22)
    | e20 = op2(e20,e22)
    | e21 = op2(e20,e22)
    | e22 = op2(e20,e22) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1776,plain,
    spl18_41,
    inference(avatar_split_clause,[],[f1775,f567]) ).

fof(f1775,plain,
    e23 = h3(e13),
    inference(forward_demodulation,[],[f1774,f1595]) ).

fof(f1774,plain,
    h3(e13) = op2(e21,op2(e22,e22)),
    inference(forward_demodulation,[],[f215,f227]) ).

fof(f215,plain,
    op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = h3(e13),
    inference(cnf_transformation,[],[f16]) ).

fof(f1773,plain,
    ( spl18_168
    | spl18_166
    | spl18_179
    | spl18_160 ),
    inference(avatar_split_clause,[],[f1772,f1096,f1185,f1124,f1133]) ).

fof(f1772,plain,
    ( e22 = op2(e20,e22)
    | e22 = h1(e10)
    | e22 = op2(e20,e21)
    | e22 = op2(e20,e23) ),
    inference(forward_demodulation,[],[f325,f263]) ).

fof(f325,plain,
    ( e22 = op2(e20,e23)
    | e22 = op2(e20,e21)
    | e22 = op2(e20,e22)
    | op2(e20,e20) = e22 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f1766,plain,
    ( spl18_209
    | spl18_262
    | spl18_235
    | spl18_279 ),
    inference(avatar_split_clause,[],[f259,f1728,f1456,f1615,f1319]) ).

fof(f259,plain,
    ( e20 = op2(e22,e23)
    | e23 = op2(e22,e23)
    | e22 = op2(e22,e23)
    | e21 = op2(e22,e23) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1744,plain,
    ( spl18_281
    | ~ spl18_57 ),
    inference(avatar_split_clause,[],[f270,f639,f1741]) ).

fof(f639,plain,
    ( spl18_57
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_57])]) ).

fof(f270,plain,
    ( ~ sP17
    | e10 = op1(e10,op1(e10,e10)) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ( ( e11 = op1(e11,op1(e10,e11))
      & e13 = op1(e13,op1(e10,e13))
      & e12 = op1(e12,op1(e10,e12))
      & e10 = op1(e10,op1(e10,e10)) )
    | ~ sP17 ),
    inference(nnf_transformation,[],[f40]) ).

fof(f40,plain,
    ( ( e11 = op1(e11,op1(e10,e11))
      & e13 = op1(e13,op1(e10,e13))
      & e12 = op1(e12,op1(e10,e12))
      & e10 = op1(e10,op1(e10,e10)) )
    | ~ sP17 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f1732,plain,
    ( spl18_158
    | spl18_37
    | spl18_99
    | spl18_136 ),
    inference(avatar_split_clause,[],[f252,f986,f824,f550,f1088]) ).

fof(f252,plain,
    ( e23 = op2(e23,e22)
    | e20 = op2(e23,e22)
    | e21 = op2(e23,e22)
    | e22 = op2(e23,e22) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1725,plain,
    ~ spl18_11,
    inference(avatar_split_clause,[],[f1724,f442]) ).

fof(f442,plain,
    ( spl18_11
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_11])]) ).

fof(f1724,plain,
    ~ sP0,
    inference(subsumption_resolution,[],[f118,f1601]) ).

fof(f118,plain,
    ( e21 != h3(e11)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( ( e21 != h3(e11)
      & e21 != h3(e10)
      & e21 != h3(e13)
      & e21 != h3(e12) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f21]) ).

fof(f21,plain,
    ( ( e21 != h3(e11)
      & e21 != h3(e10)
      & e21 != h3(e13)
      & e21 != h3(e12) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f1711,plain,
    ~ spl18_175,
    inference(avatar_split_clause,[],[f267,f1164]) ).

fof(f267,plain,
    e10 != e11,
    inference(cnf_transformation,[],[f7]) ).

fof(f1707,plain,
    ~ spl18_270,
    inference(avatar_split_clause,[],[f1706,f1665]) ).

fof(f1706,plain,
    e10 != op1(e12,e13),
    inference(forward_demodulation,[],[f354,f64]) ).

fof(f354,plain,
    op1(e12,e12) != op1(e12,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f1692,plain,
    spl18_246,
    inference(avatar_split_clause,[],[f216,f1521]) ).

fof(f216,plain,
    e22 = h3(e12),
    inference(cnf_transformation,[],[f16]) ).

fof(f1685,plain,
    ( spl18_92
    | spl18_273
    | spl18_44
    | spl18_162 ),
    inference(avatar_split_clause,[],[f150,f1106,f580,f1682,f788]) ).

fof(f788,plain,
    ( spl18_92
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_92])]) ).

fof(f150,plain,
    ( sP13
    | sP12
    | e22 = op2(e22,op2(e21,e22))
    | sP14 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( ( e22 = op2(e22,op2(e21,e22))
      & e20 = op2(e20,op2(e21,e20))
      & e23 = op2(e23,op2(e21,e23))
      & e21 = op2(e21,op2(e21,e21)) )
    | sP14
    | sP13
    | sP12 ),
    inference(definition_folding,[],[f11,f36,f35,f34]) ).

fof(f36,plain,
    ( ( e23 = op2(e23,op2(e23,e23))
      & e21 = op2(e21,op2(e23,e21))
      & e22 = op2(e22,op2(e23,e22))
      & e20 = op2(e20,op2(e23,e20)) )
    | ~ sP14 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f11,axiom,
    ( ( e22 = op2(e22,op2(e21,e22))
      & e20 = op2(e20,op2(e21,e20))
      & e23 = op2(e23,op2(e21,e23))
      & e21 = op2(e21,op2(e21,e21)) )
    | ( e23 = op2(e23,op2(e23,e23))
      & e21 = op2(e21,op2(e23,e21))
      & e22 = op2(e22,op2(e23,e22))
      & e20 = op2(e20,op2(e23,e20)) )
    | ( e20 = op2(e20,op2(e20,e20))
      & e22 = op2(e22,op2(e20,e22))
      & e21 = op2(e21,op2(e20,e21))
      & e23 = op2(e23,op2(e20,e23)) )
    | ( e21 = op2(e21,op2(e22,e21))
      & e23 = op2(e23,op2(e22,e23))
      & e20 = op2(e20,op2(e22,e20))
      & e22 = op2(e22,op2(e22,e22)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).

fof(f1663,plain,
    spl18_102,
    inference(avatar_split_clause,[],[f225,f836]) ).

fof(f225,plain,
    e20 = op2(e22,e22),
    inference(cnf_transformation,[],[f13]) ).

fof(f1654,plain,
    ( spl18_222
    | spl18_208
    | spl18_1
    | spl18_268 ),
    inference(avatar_split_clause,[],[f296,f1651,f399,f1314,f1383]) ).

fof(f296,plain,
    ( e13 = op1(e13,e12)
    | e13 = op1(e13,e10)
    | e13 = op1(e13,e11)
    | e13 = op1(e13,e13) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1638,plain,
    ( ~ spl18_162
    | spl18_265 ),
    inference(avatar_split_clause,[],[f139,f1635,f1106]) ).

fof(f139,plain,
    ( e23 = op2(e23,op2(e20,e23))
    | ~ sP13 ),
    inference(cnf_transformation,[],[f55]) ).

fof(f1618,plain,
    ( spl18_154
    | spl18_167
    | spl18_262
    | spl18_157 ),
    inference(avatar_split_clause,[],[f322,f1084,f1615,f1128,f1068]) ).

fof(f322,plain,
    ( e22 = op2(e22,e22)
    | e22 = op2(e22,e23)
    | e22 = op2(e22,e21)
    | e22 = op2(e22,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f1613,plain,
    ( spl18_97
    | spl18_261
    | spl18_99
    | spl18_147 ),
    inference(avatar_split_clause,[],[f343,f1038,f824,f1610,f814]) ).

fof(f343,plain,
    ( e20 = op2(e23,e20)
    | e20 = op2(e23,e22)
    | e20 = op2(e23,e23)
    | e20 = op2(e23,e21) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f1608,plain,
    ( spl18_215
    | spl18_212
    | spl18_2 ),
    inference(avatar_split_clause,[],[f1607,f403,f1334,f1350]) ).

fof(f1607,plain,
    ( e10 = op1(e13,e10)
    | e10 = op1(e10,e10)
    | e10 = op1(e11,e10) ),
    inference(subsumption_resolution,[],[f290,f792]) ).

fof(f792,plain,
    e10 != op1(e12,e10),
    inference(backward_demodulation,[],[f366,f64]) ).

fof(f366,plain,
    op1(e12,e10) != op1(e12,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f290,plain,
    ( e10 = op1(e11,e10)
    | e10 = op1(e12,e10)
    | e10 = op1(e13,e10)
    | e10 = op1(e10,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1593,plain,
    ( spl18_92
    | spl18_44
    | spl18_162
    | spl18_258 ),
    inference(avatar_split_clause,[],[f149,f1590,f1106,f580,f788]) ).

fof(f149,plain,
    ( e20 = op2(e20,op2(e21,e20))
    | sP13
    | sP12
    | sP14 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f1588,plain,
    ( ~ spl18_92
    | spl18_257 ),
    inference(avatar_split_clause,[],[f135,f1585,f788]) ).

fof(f135,plain,
    ( e20 = op2(e20,op2(e23,e20))
    | ~ sP14 ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ( ( e23 = op2(e23,op2(e23,e23))
      & e21 = op2(e21,op2(e23,e21))
      & e22 = op2(e22,op2(e23,e22))
      & e20 = op2(e20,op2(e23,e20)) )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f36]) ).

fof(f1572,plain,
    spl18_106,
    inference(avatar_split_clause,[],[f1571,f856]) ).

fof(f1571,plain,
    e11 = op1(e12,e10),
    inference(forward_demodulation,[],[f66,f64]) ).

fof(f66,plain,
    e11 = op1(e12,op1(e12,e12)),
    inference(cnf_transformation,[],[f12]) ).

fof(f1559,plain,
    ( ~ spl18_162
    | spl18_252 ),
    inference(avatar_split_clause,[],[f1554,f1556,f1106]) ).

fof(f1554,plain,
    ( e20 = h1(e11)
    | ~ sP13 ),
    inference(forward_demodulation,[],[f1553,f952]) ).

fof(f1553,plain,
    ( ~ sP13
    | e20 = op2(e20,h1(e10)) ),
    inference(forward_demodulation,[],[f142,f263]) ).

fof(f142,plain,
    ( e20 = op2(e20,op2(e20,e20))
    | ~ sP13 ),
    inference(cnf_transformation,[],[f55]) ).

fof(f1552,plain,
    ( spl18_2
    | spl18_225
    | spl18_251 ),
    inference(avatar_split_clause,[],[f1547,f1549,f1396,f403]) ).

fof(f1547,plain,
    ( e10 = op1(e13,e13)
    | e10 = op1(e13,e11)
    | e10 = op1(e13,e10) ),
    inference(subsumption_resolution,[],[f316,f1417]) ).

fof(f316,plain,
    ( e10 = op1(e13,e11)
    | e10 = op1(e13,e13)
    | e10 = op1(e13,e12)
    | e10 = op1(e13,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1546,plain,
    ( spl18_162
    | spl18_44
    | spl18_250
    | spl18_92 ),
    inference(avatar_split_clause,[],[f1541,f788,f1543,f580,f1106]) ).

fof(f1541,plain,
    ( sP14
    | e21 = op2(e21,h2(e10))
    | sP12
    | sP13 ),
    inference(forward_demodulation,[],[f147,f70]) ).

fof(f147,plain,
    ( sP14
    | e21 = op2(e21,op2(e21,e21))
    | sP12
    | sP13 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f1528,plain,
    ( ~ spl18_73
    | spl18_47
    | spl18_42
    | ~ spl18_246
    | ~ spl18_76
    | ~ spl18_84
    | ~ spl18_86
    | ~ spl18_82
    | ~ spl18_79
    | ~ spl18_81
    | spl18_11
    | ~ spl18_83
    | ~ spl18_77
    | ~ spl18_247
    | ~ spl18_85
    | ~ spl18_75
    | ~ spl18_88
    | ~ spl18_74
    | ~ spl18_87
    | ~ spl18_78 ),
    inference(avatar_split_clause,[],[f1519,f730,f766,f714,f770,f718,f758,f1525,f726,f750,f442,f742,f734,f746,f762,f754,f722,f1521,f571,f594,f710]) ).

fof(f594,plain,
    ( spl18_47
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_47])]) ).

fof(f571,plain,
    ( spl18_42
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_42])]) ).

fof(f1519,plain,
    ( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
    | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
    | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(e10) != op2(h3(e12),h3(e12))
    | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
    | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
    | sP0
    | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
    | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
    | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
    | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
    | e22 != h3(e12)
    | sP2
    | sP1
    | h3(op1(e12,e10)) != op2(h3(e12),h3(e10)) ),
    inference(forward_demodulation,[],[f120,f64]) ).

fof(f120,plain,
    ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
    | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
    | e22 != h3(e12)
    | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
    | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
    | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
    | sP1
    | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
    | sP0
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
    | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
    | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
    | sP2
    | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
    | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
    | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
    | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10)) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ( ( ( e21 != h4(e10)
        & e21 != h4(e11)
        & e21 != h4(e13)
        & e21 != h4(e12) )
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | sP11
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | sP10
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | sP9
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12)) )
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | ( e23 != h1(e13)
        & e23 != h1(e11)
        & e23 != h1(e12)
        & e23 != h1(e10) )
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | sP8
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | sP7
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | sP6 )
    & ( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | ( e22 != h2(e10)
        & e22 != h2(e13)
        & e22 != h2(e12)
        & e22 != h2(e11) )
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | sP5
      | h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | sP4
      | sP3
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10)) )
    & ( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | ( e22 != h3(e10)
        & e22 != h3(e11)
        & e22 != h3(e12)
        & e22 != h3(e13) )
      | sP2
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | sP1
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | sP0 ) ),
    inference(definition_folding,[],[f20,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).

fof(f22,plain,
    ( ( e20 != h3(e10)
      & e20 != h3(e11)
      & e20 != h3(e13)
      & e20 != h3(e12) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f23,plain,
    ( ( e23 != h3(e11)
      & e23 != h3(e12)
      & e23 != h3(e13)
      & e23 != h3(e10) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f24,plain,
    ( ( e20 != h2(e12)
      & e20 != h2(e10)
      & e20 != h2(e13)
      & e20 != h2(e11) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f25,plain,
    ( ( e23 != h2(e13)
      & e23 != h2(e10)
      & e23 != h2(e11)
      & e23 != h2(e12) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f26,plain,
    ( ( e21 != h2(e12)
      & e21 != h2(e10)
      & e21 != h2(e13)
      & e21 != h2(e11) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f27,plain,
    ( ( e21 != h1(e10)
      & e21 != h1(e13)
      & e21 != h1(e12)
      & e21 != h1(e11) )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f28,plain,
    ( ( e22 != h1(e11)
      & e22 != h1(e13)
      & e22 != h1(e10)
      & e22 != h1(e12) )
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f29,plain,
    ( ( e20 != h1(e13)
      & e20 != h1(e12)
      & e20 != h1(e11)
      & e20 != h1(e10) )
    | ~ sP8 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f30,plain,
    ( ( e20 != h4(e12)
      & e20 != h4(e11)
      & e20 != h4(e13)
      & e20 != h4(e10) )
    | ~ sP9 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f31,plain,
    ( ( e23 != h4(e11)
      & e23 != h4(e12)
      & e23 != h4(e10)
      & e23 != h4(e13) )
    | ~ sP10 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f32,plain,
    ( ( e22 != h4(e13)
      & e22 != h4(e10)
      & e22 != h4(e12)
      & e22 != h4(e11) )
    | ~ sP11 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f20,plain,
    ( ( ( e21 != h4(e10)
        & e21 != h4(e11)
        & e21 != h4(e13)
        & e21 != h4(e12) )
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | ( e22 != h4(e13)
        & e22 != h4(e10)
        & e22 != h4(e12)
        & e22 != h4(e11) )
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | ( e23 != h4(e11)
        & e23 != h4(e12)
        & e23 != h4(e10)
        & e23 != h4(e13) )
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | ( e20 != h4(e12)
        & e20 != h4(e11)
        & e20 != h4(e13)
        & e20 != h4(e10) )
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12)) )
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | ( e23 != h1(e13)
        & e23 != h1(e11)
        & e23 != h1(e12)
        & e23 != h1(e10) )
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( e20 != h1(e13)
        & e20 != h1(e12)
        & e20 != h1(e11)
        & e20 != h1(e10) )
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | ( e22 != h1(e11)
        & e22 != h1(e13)
        & e22 != h1(e10)
        & e22 != h1(e12) )
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | ( e21 != h1(e10)
        & e21 != h1(e13)
        & e21 != h1(e12)
        & e21 != h1(e11) ) )
    & ( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | ( e22 != h2(e10)
        & e22 != h2(e13)
        & e22 != h2(e12)
        & e22 != h2(e11) )
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | ( e21 != h2(e12)
        & e21 != h2(e10)
        & e21 != h2(e13)
        & e21 != h2(e11) )
      | h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | ( e23 != h2(e13)
        & e23 != h2(e10)
        & e23 != h2(e11)
        & e23 != h2(e12) )
      | ( e20 != h2(e12)
        & e20 != h2(e10)
        & e20 != h2(e13)
        & e20 != h2(e11) )
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10)) )
    & ( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | ( e22 != h3(e10)
        & e22 != h3(e11)
        & e22 != h3(e12)
        & e22 != h3(e13) )
      | ( e23 != h3(e11)
        & e23 != h3(e12)
        & e23 != h3(e13)
        & e23 != h3(e10) )
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | ( e20 != h3(e10)
        & e20 != h3(e11)
        & e20 != h3(e13)
        & e20 != h3(e12) )
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | ( e21 != h3(e11)
        & e21 != h3(e10)
        & e21 != h3(e13)
        & e21 != h3(e12) ) ) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ( ( h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
        & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
        & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
        & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
        & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
        & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
        & ( e22 = h3(e13)
          | e22 = h3(e10)
          | e22 = h3(e11)
          | e22 = h3(e12) )
        & ( e23 = h3(e10)
          | e23 = h3(e12)
          | e23 = h3(e11)
          | e23 = h3(e13) )
        & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
        & ( e21 = h3(e10)
          | e21 = h3(e12)
          | e21 = h3(e11)
          | e21 = h3(e13) )
        & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
        & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
        & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
        & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
        & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
        & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
        & ( e20 = h3(e10)
          | e20 = h3(e12)
          | e20 = h3(e11)
          | e20 = h3(e13) )
        & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
        & h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
        & h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) )
      | ( h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & ( e22 = h4(e11)
          | e22 = h4(e10)
          | e22 = h4(e12)
          | e22 = h4(e13) )
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
        & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
        & ( e23 = h4(e12)
          | e23 = h4(e10)
          | e23 = h4(e13)
          | e23 = h4(e11) )
        & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & ( e21 = h4(e13)
          | e21 = h4(e12)
          | e21 = h4(e11)
          | e21 = h4(e10) )
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
        & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
        & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
        & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & ( e20 = h4(e11)
          | e20 = h4(e13)
          | e20 = h4(e10)
          | e20 = h4(e12) ) )
      | ( h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
        & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
        & ( e21 = h2(e12)
          | e21 = h2(e13)
          | e21 = h2(e10)
          | e21 = h2(e11) )
        & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
        & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
        & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
        & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
        & ( e20 = h2(e11)
          | e20 = h2(e10)
          | e20 = h2(e12)
          | e20 = h2(e13) )
        & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
        & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
        & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
        & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
        & ( e23 = h2(e10)
          | e23 = h2(e12)
          | e23 = h2(e13)
          | e23 = h2(e11) )
        & h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
        & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
        & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
        & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
        & ( e22 = h2(e12)
          | e22 = h2(e11)
          | e22 = h2(e10)
          | e22 = h2(e13) )
        & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
        & h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) )
      | ( h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
        & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
        & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
        & ( e20 = h1(e10)
          | e20 = h1(e11)
          | e20 = h1(e12)
          | e20 = h1(e13) )
        & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
        & ( e21 = h1(e10)
          | e21 = h1(e13)
          | e21 = h1(e12)
          | e21 = h1(e11) )
        & h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
        & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
        & ( e23 = h1(e10)
          | e23 = h1(e13)
          | e23 = h1(e12)
          | e23 = h1(e11) )
        & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
        & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
        & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
        & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
        & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
        & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
        & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
        & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
        & ( e22 = h1(e13)
          | e22 = h1(e11)
          | e22 = h1(e10)
          | e22 = h1(e12) )
        & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
        & h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ) ),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ( ( h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
      & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
      & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
      & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
      & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
      & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
      & ( e22 = h3(e13)
        | e22 = h3(e10)
        | e22 = h3(e11)
        | e22 = h3(e12) )
      & ( e23 = h3(e10)
        | e23 = h3(e12)
        | e23 = h3(e11)
        | e23 = h3(e13) )
      & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
      & ( e21 = h3(e10)
        | e21 = h3(e12)
        | e21 = h3(e11)
        | e21 = h3(e13) )
      & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
      & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
      & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
      & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
      & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
      & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
      & ( e20 = h3(e10)
        | e20 = h3(e12)
        | e20 = h3(e11)
        | e20 = h3(e13) )
      & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
      & h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
      & h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) )
    | ( h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & ( e22 = h4(e11)
        | e22 = h4(e10)
        | e22 = h4(e12)
        | e22 = h4(e13) )
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
      & ( e23 = h4(e12)
        | e23 = h4(e10)
        | e23 = h4(e13)
        | e23 = h4(e11) )
      & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & ( e21 = h4(e13)
        | e21 = h4(e12)
        | e21 = h4(e11)
        | e21 = h4(e10) )
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
      & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
      & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & ( e20 = h4(e11)
        | e20 = h4(e13)
        | e20 = h4(e10)
        | e20 = h4(e12) ) )
    | ( h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
      & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
      & ( e21 = h2(e12)
        | e21 = h2(e13)
        | e21 = h2(e10)
        | e21 = h2(e11) )
      & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
      & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
      & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
      & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
      & ( e20 = h2(e11)
        | e20 = h2(e10)
        | e20 = h2(e12)
        | e20 = h2(e13) )
      & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
      & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
      & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
      & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
      & ( e23 = h2(e10)
        | e23 = h2(e12)
        | e23 = h2(e13)
        | e23 = h2(e11) )
      & h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
      & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
      & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
      & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
      & ( e22 = h2(e12)
        | e22 = h2(e11)
        | e22 = h2(e10)
        | e22 = h2(e13) )
      & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
      & h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) )
    | ( h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
      & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
      & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
      & ( e20 = h1(e10)
        | e20 = h1(e11)
        | e20 = h1(e12)
        | e20 = h1(e13) )
      & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
      & ( e21 = h1(e10)
        | e21 = h1(e13)
        | e21 = h1(e12)
        | e21 = h1(e11) )
      & h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
      & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
      & ( e23 = h1(e10)
        | e23 = h1(e13)
        | e23 = h1(e12)
        | e23 = h1(e11) )
      & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
      & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
      & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
      & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
      & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
      & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
      & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
      & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
      & ( e22 = h1(e13)
        | e22 = h1(e11)
        | e22 = h1(e10)
        | e22 = h1(e12) )
      & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
      & h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1508,plain,
    ( spl18_220
    | spl18_243
    | spl18_221 ),
    inference(avatar_split_clause,[],[f1503,f1378,f1505,f1373]) ).

fof(f1503,plain,
    ( e12 = op1(e10,e12)
    | e12 = op1(e13,e12)
    | e12 = op1(e11,e12) ),
    inference(subsumption_resolution,[],[f1502,f266]) ).

fof(f1502,plain,
    ( e12 = op1(e11,e12)
    | e12 = op1(e13,e12)
    | e10 = e12
    | e12 = op1(e10,e12) ),
    inference(forward_demodulation,[],[f303,f64]) ).

fof(f303,plain,
    ( e12 = op1(e10,e12)
    | e12 = op1(e12,e12)
    | e12 = op1(e11,e12)
    | e12 = op1(e13,e12) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1501,plain,
    ( ~ spl18_47
    | ~ spl18_242 ),
    inference(avatar_split_clause,[],[f114,f1498,f594]) ).

fof(f114,plain,
    ( e20 != h3(e10)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( ( e20 != h3(e10)
      & e20 != h3(e11)
      & e20 != h3(e13)
      & e20 != h3(e12) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f22]) ).

fof(f1488,plain,
    ( spl18_101
    | spl18_239
    | spl18_146
    | spl18_240 ),
    inference(avatar_split_clause,[],[f1479,f1485,f1034,f1481,f832]) ).

fof(f1479,plain,
    ( e20 = op2(e21,e23)
    | e20 = op2(e21,e20)
    | e20 = h2(e10)
    | e20 = op2(e21,e22) ),
    inference(forward_demodulation,[],[f324,f70]) ).

fof(f324,plain,
    ( e20 = op2(e21,e20)
    | e20 = op2(e21,e21)
    | e20 = op2(e21,e22)
    | e20 = op2(e21,e23) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f1478,plain,
    ( spl18_237
    | spl18_238
    | spl18_159
    | spl18_180 ),
    inference(avatar_split_clause,[],[f1469,f1191,f1092,f1475,f1471]) ).

fof(f1469,plain,
    ( e22 = op2(e21,e20)
    | e22 = op2(e21,e22)
    | e22 = h2(e10)
    | e22 = op2(e21,e23) ),
    inference(forward_demodulation,[],[f339,f70]) ).

fof(f339,plain,
    ( e22 = op2(e21,e21)
    | e22 = op2(e21,e20)
    | e22 = op2(e21,e22)
    | e22 = op2(e21,e23) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f1436,plain,
    ( spl18_129
    | spl18_228
    | spl18_211
    | spl18_68 ),
    inference(avatar_split_clause,[],[f306,f686,f1330,f1413,f954]) ).

fof(f306,plain,
    ( e11 = op1(e10,e11)
    | op1(e10,e10) = e11
    | e11 = op1(e10,e12)
    | e11 = op1(e10,e13) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1433,plain,
    ( spl18_225
    | spl18_63
    | spl18_214
    | spl18_67 ),
    inference(avatar_split_clause,[],[f288,f682,f1346,f665,f1396]) ).

fof(f665,plain,
    ( spl18_63
  <=> e10 = op1(e12,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_63])]) ).

fof(f288,plain,
    ( e10 = op1(e10,e11)
    | e10 = op1(e11,e11)
    | e10 = op1(e12,e11)
    | e10 = op1(e13,e11) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1422,plain,
    ( spl18_149
    | spl18_202
    | spl18_229
    | spl18_205 ),
    inference(avatar_split_clause,[],[f323,f1301,f1419,f1285,f1047]) ).

fof(f323,plain,
    ( e21 = op2(e22,e21)
    | e21 = op2(e23,e21)
    | e21 = op2(e20,e21)
    | e21 = op2(e21,e21) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f1416,plain,
    ( spl18_141
    | spl18_228
    | spl18_221 ),
    inference(avatar_split_clause,[],[f1411,f1378,f1413,f1011]) ).

fof(f1411,plain,
    ( e12 = op1(e10,e12)
    | e11 = op1(e10,e12)
    | e13 = op1(e10,e12) ),
    inference(subsumption_resolution,[],[f238,f793]) ).

fof(f238,plain,
    ( e13 = op1(e10,e12)
    | e11 = op1(e10,e12)
    | e12 = op1(e10,e12)
    | e10 = op1(e10,e12) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1400,plain,
    ( spl18_201
    | spl18_216
    | spl18_138
    | spl18_206 ),
    inference(avatar_split_clause,[],[f328,f1305,f994,f1355,f1281]) ).

fof(f328,plain,
    ( e23 = op2(e22,e21)
    | e23 = op2(e23,e21)
    | e23 = op2(e21,e21)
    | e23 = op2(e20,e21) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f1381,plain,
    ( spl18_50
    | spl18_213
    | spl18_65
    | spl18_221 ),
    inference(avatar_split_clause,[],[f302,f1378,f674,f1338,f608]) ).

fof(f302,plain,
    ( e12 = op1(e10,e12)
    | e12 = op1(e10,e11)
    | op1(e10,e10) = e12
    | e12 = op1(e10,e13) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1353,plain,
    ( spl18_214
    | spl18_54
    | spl18_215 ),
    inference(avatar_split_clause,[],[f1344,f1350,f625,f1346]) ).

fof(f1344,plain,
    ( e10 = op1(e11,e10)
    | e10 = op1(e11,e13)
    | e10 = op1(e11,e11) ),
    inference(subsumption_resolution,[],[f294,f1082]) ).

fof(f1082,plain,
    e10 != op1(e11,e12),
    inference(forward_demodulation,[],[f358,f64]) ).

fof(f358,plain,
    op1(e11,e12) != op1(e12,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f294,plain,
    ( e10 = op1(e11,e12)
    | e10 = op1(e11,e10)
    | e10 = op1(e11,e11)
    | e10 = op1(e11,e13) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1341,plain,
    ( spl18_211
    | spl18_142
    | spl18_212
    | spl18_213 ),
    inference(avatar_split_clause,[],[f229,f1338,f1334,f1015,f1330]) ).

fof(f229,plain,
    ( op1(e10,e10) = e12
    | e10 = op1(e10,e10)
    | op1(e10,e10) = e13
    | op1(e10,e10) = e11 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1317,plain,
    ( spl18_207
    | spl18_62
    | spl18_66
    | spl18_208 ),
    inference(avatar_split_clause,[],[f314,f1314,f678,f661,f1310]) ).

fof(f314,plain,
    ( e13 = op1(e13,e11)
    | e13 = op1(e10,e11)
    | e13 = op1(e12,e11)
    | e13 = op1(e11,e11) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1288,plain,
    ( spl18_94
    | spl18_201
    | spl18_202
    | spl18_166 ),
    inference(avatar_split_clause,[],[f257,f1124,f1285,f1281,f802]) ).

fof(f257,plain,
    ( e22 = op2(e20,e21)
    | e21 = op2(e20,e21)
    | e23 = op2(e20,e21)
    | e20 = op2(e20,e21) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1274,plain,
    ( ~ spl18_57
    | spl18_199 ),
    inference(avatar_split_clause,[],[f273,f1271,f639]) ).

fof(f273,plain,
    ( e11 = op1(e11,op1(e10,e11))
    | ~ sP17 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f1194,plain,
    ( spl18_176
    | spl18_154
    | spl18_179
    | spl18_180 ),
    inference(avatar_split_clause,[],[f1189,f1191,f1185,f1068,f1169]) ).

fof(f1189,plain,
    ( e22 = op2(e21,e20)
    | e22 = h1(e10)
    | e22 = op2(e22,e20)
    | e22 = op2(e23,e20) ),
    inference(forward_demodulation,[],[f342,f263]) ).

fof(f342,plain,
    ( e22 = op2(e21,e20)
    | e22 = op2(e23,e20)
    | op2(e20,e20) = e22
    | e22 = op2(e22,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f1183,plain,
    ( spl18_57
    | spl18_60
    | spl18_178
    | spl18_35 ),
    inference(avatar_split_clause,[],[f283,f541,f1180,f652,f639]) ).

fof(f652,plain,
    ( spl18_60
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_60])]) ).

fof(f283,plain,
    ( sP16
    | e11 = op1(e11,op1(e11,e11))
    | sP15
    | sP17 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ( ( e10 = op1(e10,op1(e11,e10))
      & e12 = op1(e12,op1(e11,e12))
      & e11 = op1(e11,op1(e11,e11))
      & e13 = op1(e13,op1(e11,e13)) )
    | sP17
    | sP16
    | sP15 ),
    inference(definition_folding,[],[f10,f40,f39,f38]) ).

fof(f38,plain,
    ( ( e12 = op1(e12,op1(e12,e12))
      & e11 = op1(e11,op1(e12,e11))
      & e13 = op1(e13,op1(e12,e13))
      & e10 = op1(e10,op1(e12,e10)) )
    | ~ sP15 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f10,axiom,
    ( ( e10 = op1(e10,op1(e11,e10))
      & e12 = op1(e12,op1(e11,e12))
      & e11 = op1(e11,op1(e11,e11))
      & e13 = op1(e13,op1(e11,e13)) )
    | ( e11 = op1(e11,op1(e10,e11))
      & e13 = op1(e13,op1(e10,e13))
      & e12 = op1(e12,op1(e10,e12))
      & e10 = op1(e10,op1(e10,e10)) )
    | ( e12 = op1(e12,op1(e13,e12))
      & e11 = op1(e11,op1(e13,e11))
      & e10 = op1(e10,op1(e13,e10))
      & e13 = op1(e13,op1(e13,e13)) )
    | ( e12 = op1(e12,op1(e12,e12))
      & e11 = op1(e11,op1(e12,e11))
      & e13 = op1(e13,op1(e12,e13))
      & e10 = op1(e10,op1(e12,e10)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

fof(f1148,plain,
    ( spl18_168
    | spl18_169
    | spl18_170
    | spl18_171 ),
    inference(avatar_split_clause,[],[f244,f1145,f1141,f1137,f1133]) ).

fof(f244,plain,
    ( e21 = op2(e20,e23)
    | e20 = op2(e20,e23)
    | e23 = op2(e20,e23)
    | e22 = op2(e20,e23) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1109,plain,
    ( spl18_161
    | ~ spl18_162 ),
    inference(avatar_split_clause,[],[f141,f1106,f1102]) ).

fof(f141,plain,
    ( ~ sP13
    | e22 = op2(e22,op2(e20,e22)) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f1045,plain,
    ( spl18_145
    | spl18_146
    | spl18_147
    | spl18_148 ),
    inference(avatar_split_clause,[],[f1028,f1042,f1038,f1034,f1030]) ).

fof(f1028,plain,
    ( e20 = op2(e22,e20)
    | e20 = op2(e23,e20)
    | e20 = op2(e21,e20)
    | e20 = h1(e10) ),
    inference(forward_demodulation,[],[f337,f263]) ).

fof(f337,plain,
    ( e20 = op2(e22,e20)
    | e20 = op2(e23,e20)
    | e20 = op2(e21,e20)
    | e20 = op2(e20,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f1027,plain,
    ( spl18_144
    | ~ spl18_57 ),
    inference(avatar_split_clause,[],[f271,f639,f1024]) ).

fof(f271,plain,
    ( ~ sP17
    | e12 = op1(e12,op1(e10,e12)) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f999,plain,
    ( spl18_107
    | ~ spl18_60 ),
    inference(avatar_split_clause,[],[f998,f652,f860]) ).

fof(f998,plain,
    ( ~ sP15
    | e12 = op1(e12,e10) ),
    inference(forward_demodulation,[],[f281,f64]) ).

fof(f281,plain,
    ( ~ sP15
    | e12 = op1(e12,op1(e12,e12)) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ( ( e12 = op1(e12,op1(e12,e12))
      & e11 = op1(e11,op1(e12,e11))
      & e13 = op1(e13,op1(e12,e13))
      & e10 = op1(e10,op1(e12,e10)) )
    | ~ sP15 ),
    inference(nnf_transformation,[],[f38]) ).

fof(f997,plain,
    ( spl18_135
    | spl18_136
    | spl18_137
    | spl18_138 ),
    inference(avatar_split_clause,[],[f338,f994,f990,f986,f982]) ).

fof(f338,plain,
    ( e23 = op2(e23,e21)
    | e23 = op2(e23,e20)
    | e23 = op2(e23,e22)
    | e23 = op2(e23,e23) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f965,plain,
    ( spl18_129
    | spl18_130
    | spl18_131
    | spl18_55 ),
    inference(avatar_split_clause,[],[f299,f629,f962,f958,f954]) ).

fof(f299,plain,
    ( e11 = op1(e11,e13)
    | e11 = op1(e12,e13)
    | e11 = op1(e13,e13)
    | e11 = op1(e10,e13) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f822,plain,
    ( spl18_35
    | spl18_60
    | spl18_57
    | spl18_98 ),
    inference(avatar_split_clause,[],[f285,f819,f639,f652,f541]) ).

fof(f285,plain,
    ( e10 = op1(e10,op1(e11,e10))
    | sP17
    | sP15
    | sP16 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f817,plain,
    ( spl18_94
    | spl18_95
    | spl18_96
    | spl18_97 ),
    inference(avatar_split_clause,[],[f320,f814,f810,f806,f802]) ).

fof(f320,plain,
    ( e20 = op2(e23,e21)
    | e20 = op2(e22,e21)
    | e20 = op2(e21,e21)
    | e20 = op2(e20,e21) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f795,plain,
    ~ spl18_63,
    inference(avatar_split_clause,[],[f794,f665]) ).

fof(f794,plain,
    e10 != op1(e12,e11),
    inference(backward_demodulation,[],[f367,f64]) ).

fof(f367,plain,
    op1(e12,e11) != op1(e12,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f689,plain,
    ( spl18_65
    | spl18_66
    | spl18_67
    | spl18_68 ),
    inference(avatar_split_clause,[],[f230,f686,f682,f678,f674]) ).

fof(f230,plain,
    ( e11 = op1(e10,e11)
    | e10 = op1(e10,e11)
    | e13 = op1(e10,e11)
    | e12 = op1(e10,e11) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f655,plain,
    ( spl18_35
    | spl18_57
    | spl18_59
    | spl18_60 ),
    inference(avatar_split_clause,[],[f282,f652,f648,f639,f541]) ).

fof(f282,plain,
    ( sP15
    | e13 = op1(e13,op1(e11,e13))
    | sP17
    | sP16 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f646,plain,
    ( ~ spl18_57
    | spl18_58 ),
    inference(avatar_split_clause,[],[f272,f643,f639]) ).

fof(f272,plain,
    ( e13 = op1(e13,op1(e10,e13))
    | ~ sP17 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f632,plain,
    ( spl18_51
    | spl18_53
    | spl18_54
    | spl18_55 ),
    inference(avatar_split_clause,[],[f243,f629,f625,f621,f612]) ).

fof(f243,plain,
    ( e11 = op1(e11,e13)
    | e10 = op1(e11,e13)
    | e13 = op1(e11,e13)
    | e12 = op1(e11,e13) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f574,plain,
    ( ~ spl18_41
    | ~ spl18_42 ),
    inference(avatar_split_clause,[],[f108,f571,f567]) ).

fof(f108,plain,
    ( ~ sP2
    | e23 != h3(e13) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ( ( e23 != h3(e11)
      & e23 != h3(e12)
      & e23 != h3(e13)
      & e23 != h3(e10) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f23]) ).

fof(f414,plain,
    ( spl18_1
    | spl18_2
    | spl18_3
    | spl18_4 ),
    inference(avatar_split_clause,[],[f237,f411,f407,f403,f399]) ).

fof(f237,plain,
    ( e11 = op1(e13,e10)
    | e12 = op1(e13,e10)
    | e10 = op1(e13,e10)
    | e13 = op1(e13,e10) ),
    inference(cnf_transformation,[],[f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : ALG107+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 14:52:35 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.20/0.51  % (21697)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (21711)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (21705)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.51  % (21694)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52  % (21715)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.52  % (21706)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (21711)Instruction limit reached!
% 0.20/0.52  % (21711)------------------------------
% 0.20/0.52  % (21711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (21711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (21711)Termination reason: Unknown
% 0.20/0.52  % (21711)Termination phase: Property scanning
% 0.20/0.52  
% 0.20/0.52  % (21711)Memory used [KB]: 1663
% 0.20/0.52  % (21711)Time elapsed: 0.004 s
% 0.20/0.52  % (21711)Instructions burned: 7 (million)
% 0.20/0.52  % (21711)------------------------------
% 0.20/0.52  % (21711)------------------------------
% 0.20/0.52  % (21696)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52  % (21696)Instruction limit reached!
% 0.20/0.52  % (21696)------------------------------
% 0.20/0.52  % (21696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (21696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (21696)Termination reason: Unknown
% 0.20/0.52  % (21696)Termination phase: Preprocessing 2
% 0.20/0.52  
% 0.20/0.52  % (21696)Memory used [KB]: 1535
% 0.20/0.52  % (21696)Time elapsed: 0.002 s
% 0.20/0.52  % (21696)Instructions burned: 3 (million)
% 0.20/0.52  % (21696)------------------------------
% 0.20/0.52  % (21696)------------------------------
% 0.20/0.52  % (21714)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (21714)Instruction limit reached!
% 0.20/0.52  % (21714)------------------------------
% 0.20/0.52  % (21714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (21714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (21714)Termination reason: Unknown
% 0.20/0.52  % (21714)Termination phase: SInE selection
% 0.20/0.52  
% 0.20/0.52  % (21701)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52  % (21714)Memory used [KB]: 1535
% 0.20/0.52  % (21714)Time elapsed: 0.003 s
% 0.20/0.52  % (21714)Instructions burned: 2 (million)
% 0.20/0.52  % (21714)------------------------------
% 0.20/0.52  % (21714)------------------------------
% 0.20/0.52  % (21708)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (21710)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (21710)Instruction limit reached!
% 0.20/0.53  % (21710)------------------------------
% 0.20/0.53  % (21710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (21710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (21710)Termination reason: Unknown
% 0.20/0.53  % (21710)Termination phase: Preprocessing 3
% 0.20/0.53  
% 0.20/0.53  % (21710)Memory used [KB]: 1535
% 0.20/0.53  % (21710)Time elapsed: 0.003 s
% 0.20/0.53  % (21710)Instructions burned: 4 (million)
% 0.20/0.53  % (21710)------------------------------
% 0.20/0.53  % (21710)------------------------------
% 0.20/0.53  % (21705)Instruction limit reached!
% 0.20/0.53  % (21705)------------------------------
% 0.20/0.53  % (21705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (21705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (21705)Termination reason: Unknown
% 0.20/0.53  % (21705)Termination phase: Equality proxy
% 0.20/0.53  
% 0.20/0.53  % (21705)Memory used [KB]: 1663
% 0.20/0.53  % (21705)Time elapsed: 0.008 s
% 0.20/0.53  % (21705)Instructions burned: 13 (million)
% 0.20/0.53  % (21705)------------------------------
% 0.20/0.53  % (21705)------------------------------
% 0.20/0.53  % (21706)Instruction limit reached!
% 0.20/0.53  % (21706)------------------------------
% 0.20/0.53  % (21706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (21706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (21706)Termination reason: Unknown
% 0.20/0.53  % (21706)Termination phase: Property scanning
% 0.20/0.53  
% 0.20/0.53  % (21706)Memory used [KB]: 1663
% 0.20/0.53  % (21706)Time elapsed: 0.005 s
% 0.20/0.53  % (21706)Instructions burned: 7 (million)
% 0.20/0.53  % (21706)------------------------------
% 0.20/0.53  % (21706)------------------------------
% 0.20/0.53  % (21726)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53  % (21715)Instruction limit reached!
% 0.20/0.53  % (21715)------------------------------
% 0.20/0.53  % (21715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (21715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (21715)Termination reason: Unknown
% 0.20/0.53  % (21715)Termination phase: Equality proxy
% 0.20/0.53  
% 0.20/0.53  % (21715)Memory used [KB]: 1663
% 0.20/0.53  % (21715)Time elapsed: 0.006 s
% 0.20/0.53  % (21715)Instructions burned: 13 (million)
% 0.20/0.53  % (21715)------------------------------
% 0.20/0.53  % (21715)------------------------------
% 0.20/0.53  % (21704)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.53  % (21699)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53  % (21726)Instruction limit reached!
% 0.20/0.53  % (21726)------------------------------
% 0.20/0.53  % (21726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (21726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (21726)Termination reason: Unknown
% 0.20/0.53  % (21726)Termination phase: Property scanning
% 0.20/0.53  
% 0.20/0.53  % (21726)Memory used [KB]: 1663
% 0.20/0.53  % (21726)Time elapsed: 0.004 s
% 0.20/0.53  % (21726)Instructions burned: 8 (million)
% 0.20/0.53  % (21726)------------------------------
% 0.20/0.53  % (21726)------------------------------
% 0.20/0.53  % (21716)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.54  % (21728)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.54  % (21723)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (21700)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.54  % (21719)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.54  % (21695)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.54  % (21712)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (21717)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (21695)Instruction limit reached!
% 0.20/0.54  % (21695)------------------------------
% 0.20/0.54  % (21695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (21695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (21695)Termination reason: Unknown
% 0.20/0.54  % (21695)Termination phase: shuffling
% 0.20/0.54  
% 0.20/0.54  % (21695)Memory used [KB]: 1663
% 0.20/0.54  % (21695)Time elapsed: 0.005 s
% 0.20/0.54  % (21695)Instructions burned: 13 (million)
% 0.20/0.54  % (21695)------------------------------
% 0.20/0.54  % (21695)------------------------------
% 0.20/0.54  % (21721)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (21722)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.55  % (21707)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.55  % (21713)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.55  % (21716)Instruction limit reached!
% 0.20/0.55  % (21716)------------------------------
% 0.20/0.55  % (21716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (21716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (21716)Termination reason: Unknown
% 0.20/0.55  % (21716)Termination phase: Property scanning
% 0.20/0.55  
% 0.20/0.55  % (21716)Memory used [KB]: 1918
% 0.20/0.55  % (21716)Time elapsed: 0.016 s
% 0.20/0.55  % (21716)Instructions burned: 33 (million)
% 0.20/0.55  % (21716)------------------------------
% 0.20/0.55  % (21716)------------------------------
% 0.20/0.55  % (21703)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.55  % (21713)Instruction limit reached!
% 0.20/0.55  % (21713)------------------------------
% 0.20/0.55  % (21713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (21713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (21713)Termination reason: Unknown
% 0.20/0.55  % (21713)Termination phase: Preprocessing 3
% 0.20/0.55  
% 0.20/0.55  % (21713)Memory used [KB]: 1535
% 0.20/0.55  % (21713)Time elapsed: 0.006 s
% 0.20/0.55  % (21713)Instructions burned: 4 (million)
% 0.20/0.55  % (21713)------------------------------
% 0.20/0.55  % (21713)------------------------------
% 0.20/0.55  % (21699)Instruction limit reached!
% 0.20/0.55  % (21699)------------------------------
% 0.20/0.55  % (21699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (21699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (21699)Termination reason: Unknown
% 0.20/0.55  % (21699)Termination phase: Property scanning
% 0.20/0.55  
% 0.20/0.55  % (21699)Memory used [KB]: 1918
% 0.20/0.55  % (21699)Time elapsed: 0.006 s
% 0.20/0.55  % (21699)Instructions burned: 14 (million)
% 0.20/0.55  % (21699)------------------------------
% 0.20/0.55  % (21699)------------------------------
% 0.20/0.55  % (21702)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.56  % (21701)Instruction limit reached!
% 0.20/0.56  % (21701)------------------------------
% 0.20/0.56  % (21701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (21701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (21701)Termination reason: Unknown
% 0.20/0.56  % (21701)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (21701)Memory used [KB]: 7036
% 0.20/0.56  % (21701)Time elapsed: 0.137 s
% 0.20/0.56  % (21701)Instructions burned: 40 (million)
% 0.20/0.56  % (21701)------------------------------
% 0.20/0.56  % (21701)------------------------------
% 0.20/0.56  % (21700)Instruction limit reached!
% 0.20/0.56  % (21700)------------------------------
% 0.20/0.56  % (21700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (21700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (21700)Termination reason: Unknown
% 0.20/0.56  % (21700)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (21700)Memory used [KB]: 1791
% 0.20/0.56  % (21700)Time elapsed: 0.008 s
% 0.20/0.56  % (21700)Instructions burned: 15 (million)
% 0.20/0.56  % (21700)------------------------------
% 0.20/0.56  % (21700)------------------------------
% 0.20/0.56  % (21724)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.56  % (21718)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.57  % (21707)Instruction limit reached!
% 0.20/0.57  % (21707)------------------------------
% 0.20/0.57  % (21707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (21707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (21707)Termination reason: Unknown
% 0.20/0.57  % (21707)Termination phase: Property scanning
% 0.20/0.57  
% 0.20/0.57  % (21707)Memory used [KB]: 1791
% 0.20/0.57  % (21707)Time elapsed: 0.007 s
% 0.20/0.57  % (21707)Instructions burned: 16 (million)
% 0.20/0.57  % (21707)------------------------------
% 0.20/0.57  % (21707)------------------------------
% 0.20/0.58  % (21728)Instruction limit reached!
% 0.20/0.58  % (21728)------------------------------
% 0.20/0.58  % (21728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (21728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (21728)Termination reason: Unknown
% 0.20/0.58  % (21728)Termination phase: Property scanning
% 0.20/0.58  
% 0.20/0.58  % (21728)Memory used [KB]: 1918
% 0.20/0.58  % (21728)Time elapsed: 0.009 s
% 0.20/0.58  % (21728)Instructions burned: 25 (million)
% 0.20/0.58  % (21728)------------------------------
% 0.20/0.58  % (21728)------------------------------
% 0.20/0.58  % (21724)Instruction limit reached!
% 0.20/0.58  % (21724)------------------------------
% 0.20/0.58  % (21724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (21724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (21724)Termination reason: Unknown
% 0.20/0.58  % (21724)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (21724)Memory used [KB]: 6908
% 0.20/0.58  % (21724)Time elapsed: 0.175 s
% 0.20/0.58  % (21724)Instructions burned: 26 (million)
% 0.20/0.58  % (21724)------------------------------
% 0.20/0.58  % (21724)------------------------------
% 0.20/0.59  % (21702)Instruction limit reached!
% 0.20/0.59  % (21702)------------------------------
% 0.20/0.59  % (21702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (21702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (21702)Termination reason: Unknown
% 0.20/0.59  % (21702)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (21702)Memory used [KB]: 6780
% 0.20/0.59  % (21702)Time elapsed: 0.020 s
% 0.20/0.59  % (21702)Instructions burned: 39 (million)
% 0.20/0.59  % (21702)------------------------------
% 0.20/0.59  % (21702)------------------------------
% 0.20/0.60  % (21704)Instruction limit reached!
% 0.20/0.60  % (21704)------------------------------
% 0.20/0.60  % (21704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (21704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (21704)Termination reason: Unknown
% 0.20/0.60  % (21704)Termination phase: Saturation
% 0.20/0.60  
% 0.20/0.60  % (21704)Memory used [KB]: 6652
% 0.20/0.60  % (21704)Time elapsed: 0.017 s
% 0.20/0.60  % (21704)Instructions burned: 34 (million)
% 0.20/0.60  % (21704)------------------------------
% 0.20/0.60  % (21704)------------------------------
% 0.20/0.60  % (21697)Instruction limit reached!
% 0.20/0.60  % (21697)------------------------------
% 0.20/0.60  % (21697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (21697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (21697)Termination reason: Unknown
% 0.20/0.60  % (21697)Termination phase: Saturation
% 0.20/0.60  
% 0.20/0.60  % (21697)Memory used [KB]: 6780
% 0.20/0.60  % (21697)Time elapsed: 0.027 s
% 0.20/0.60  % (21697)Instructions burned: 51 (million)
% 0.20/0.60  % (21697)------------------------------
% 0.20/0.60  % (21697)------------------------------
% 0.20/0.60  % (21721)Refutation not found, incomplete strategy% (21721)------------------------------
% 0.20/0.60  % (21721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (21721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (21721)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.60  
% 0.20/0.60  % (21721)Memory used [KB]: 7164
% 0.20/0.60  % (21721)Time elapsed: 0.198 s
% 0.20/0.60  % (21721)Instructions burned: 37 (million)
% 0.20/0.60  % (21721)------------------------------
% 0.20/0.60  % (21721)------------------------------
% 2.03/0.60  % (21719)Instruction limit reached!
% 2.03/0.60  % (21719)------------------------------
% 2.03/0.60  % (21719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.60  % (21719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.60  % (21719)Termination reason: Unknown
% 2.03/0.60  % (21719)Termination phase: Saturation
% 2.03/0.60  
% 2.03/0.60  % (21719)Memory used [KB]: 2174
% 2.03/0.60  % (21719)Time elapsed: 0.025 s
% 2.03/0.60  % (21719)Instructions burned: 45 (million)
% 2.03/0.60  % (21719)------------------------------
% 2.03/0.60  % (21719)------------------------------
% 2.03/0.61  % (21708)Instruction limit reached!
% 2.03/0.61  % (21708)------------------------------
% 2.03/0.61  % (21708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.61  % (21708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.61  % (21708)Termination reason: Unknown
% 2.03/0.61  % (21708)Termination phase: Saturation
% 2.03/0.61  
% 2.03/0.61  % (21708)Memory used [KB]: 6908
% 2.03/0.61  % (21708)Time elapsed: 0.023 s
% 2.03/0.61  % (21708)Instructions burned: 51 (million)
% 2.03/0.61  % (21708)------------------------------
% 2.03/0.61  % (21708)------------------------------
% 2.13/0.62  % (21703)Instruction limit reached!
% 2.13/0.62  % (21703)------------------------------
% 2.13/0.62  % (21703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.62  % (21703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.62  % (21703)Termination reason: Unknown
% 2.13/0.62  % (21703)Termination phase: Saturation
% 2.13/0.62  
% 2.13/0.62  % (21703)Memory used [KB]: 6908
% 2.13/0.62  % (21703)Time elapsed: 0.034 s
% 2.13/0.62  % (21703)Instructions burned: 51 (million)
% 2.13/0.62  % (21703)------------------------------
% 2.13/0.62  % (21703)------------------------------
% 2.14/0.62  % (21717)Refutation not found, incomplete strategy% (21717)------------------------------
% 2.14/0.62  % (21717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.62  % (21717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.62  % (21717)Termination reason: Refutation not found, incomplete strategy
% 2.14/0.62  
% 2.14/0.62  % (21717)Memory used [KB]: 6780
% 2.14/0.62  % (21717)Time elapsed: 0.226 s
% 2.14/0.62  % (21717)Instructions burned: 65 (million)
% 2.14/0.62  % (21717)------------------------------
% 2.14/0.62  % (21717)------------------------------
% 2.14/0.64  % (21718)Instruction limit reached!
% 2.14/0.64  % (21718)------------------------------
% 2.14/0.64  % (21718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.64  % (21718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.64  % (21718)Termination reason: Unknown
% 2.14/0.64  % (21718)Termination phase: Property scanning
% 2.14/0.64  
% 2.14/0.64  % (21718)Memory used [KB]: 1918
% 2.14/0.64  % (21718)Time elapsed: 0.028 s
% 2.14/0.64  % (21718)Instructions burned: 82 (million)
% 2.14/0.64  % (21718)------------------------------
% 2.14/0.64  % (21718)------------------------------
% 2.14/0.64  % (21712)Instruction limit reached!
% 2.14/0.64  % (21712)------------------------------
% 2.14/0.64  % (21712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.64  % (21712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.64  % (21712)Termination reason: Unknown
% 2.14/0.64  % (21712)Termination phase: Saturation
% 2.14/0.64  
% 2.14/0.64  % (21712)Memory used [KB]: 7036
% 2.14/0.64  % (21712)Time elapsed: 0.032 s
% 2.14/0.64  % (21712)Instructions burned: 51 (million)
% 2.14/0.64  % (21712)------------------------------
% 2.14/0.64  % (21712)------------------------------
% 2.14/0.64  % (21830)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.14/0.65  % (21723)Refutation not found, incomplete strategy% (21723)------------------------------
% 2.14/0.65  % (21723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.65  % (21723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.65  % (21723)Termination reason: Refutation not found, incomplete strategy
% 2.14/0.65  
% 2.14/0.65  % (21723)Memory used [KB]: 7036
% 2.14/0.65  % (21723)Time elapsed: 0.243 s
% 2.14/0.65  % (21723)Instructions burned: 63 (million)
% 2.14/0.65  % (21723)------------------------------
% 2.14/0.65  % (21723)------------------------------
% 2.14/0.65  % (21831)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.14/0.65  % (21831)Instruction limit reached!
% 2.14/0.65  % (21831)------------------------------
% 2.14/0.65  % (21831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.65  % (21831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.65  % (21831)Termination reason: Unknown
% 2.14/0.65  % (21831)Termination phase: Property scanning
% 2.14/0.65  
% 2.14/0.65  % (21831)Memory used [KB]: 1663
% 2.14/0.65  % (21831)Time elapsed: 0.004 s
% 2.14/0.65  % (21831)Instructions burned: 10 (million)
% 2.14/0.65  % (21831)------------------------------
% 2.14/0.65  % (21831)------------------------------
% 2.14/0.66  % (21838)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.14/0.66  % (21833)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.14/0.66  % (21842)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.14/0.66  % (21843)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.14/0.66  % (21853)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 2.14/0.67  % (21841)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.14/0.67  % (21865)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.14/0.68  % (21846)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.14/0.68  % (21869)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.14/0.69  % (21863)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.14/0.69  % (21722)First to succeed.
% 2.14/0.70  % (21853)Refutation not found, incomplete strategy% (21853)------------------------------
% 2.14/0.70  % (21853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.70  % (21871)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.60/0.71  % (21881)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.60/0.71  % (21853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.71  % (21853)Termination reason: Refutation not found, incomplete strategy
% 2.60/0.71  
% 2.60/0.71  % (21853)Memory used [KB]: 6652
% 2.60/0.71  % (21853)Time elapsed: 0.130 s
% 2.60/0.71  % (21853)Instructions burned: 25 (million)
% 2.60/0.71  % (21853)------------------------------
% 2.60/0.71  % (21853)------------------------------
% 2.60/0.71  % (21857)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.60/0.71  % (21877)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.60/0.72  % (21898)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/19Mi)
% 2.60/0.72  % (21892)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.60/0.72  % (21882)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.60/0.73  % (21722)Refutation found. Thanks to Tanya!
% 2.60/0.73  % SZS status Theorem for theBenchmark
% 2.60/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 2.60/0.73  % (21722)------------------------------
% 2.60/0.73  % (21722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.73  % (21722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.73  % (21722)Termination reason: Refutation
% 2.60/0.73  
% 2.60/0.73  % (21722)Memory used [KB]: 8571
% 2.60/0.73  % (21722)Time elapsed: 0.061 s
% 2.60/0.73  % (21722)Instructions burned: 93 (million)
% 2.60/0.73  % (21722)------------------------------
% 2.60/0.73  % (21722)------------------------------
% 2.60/0.73  % (21682)Success in time 0.393 s
%------------------------------------------------------------------------------