TSTP Solution File: ALG123+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG123+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 : Sun May 5 04:24:13 EDT 2024
% Result : Theorem 1.92s 0.61s
% Output : Refutation 1.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 637
% Syntax : Number of formulae : 3330 ( 335 unt; 0 def)
% Number of atoms : 13522 (5521 equ)
% Maximal formula atoms : 180 ( 4 avg)
% Number of connectives : 18516 (8324 ~;8676 |; 939 &)
% ( 577 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 623 ( 621 usr; 622 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10319,plain,
$false,
inference(avatar_sat_refutation,[],[f856,f861,f866,f871,f876,f881,f886,f891,f896,f901,f906,f911,f916,f921,f926,f931,f936,f941,f946,f951,f956,f961,f966,f971,f976,f981,f986,f991,f996,f1001,f1006,f1011,f1016,f1021,f1030,f1039,f1048,f1057,f1066,f1075,f1084,f1093,f1102,f1111,f1120,f1129,f1134,f1139,f1144,f1149,f1154,f1159,f1164,f1169,f1174,f1179,f1184,f1189,f1194,f1199,f1208,f1213,f1218,f1223,f1229,f1234,f1239,f1244,f1246,f1258,f1267,f1276,f1285,f1294,f1303,f1312,f1321,f1330,f1339,f1348,f1357,f1366,f1375,f1380,f1389,f1394,f1403,f1412,f1421,f1430,f1439,f1448,f1457,f1466,f1475,f1480,f1486,f1492,f1497,f1503,f1508,f1514,f1519,f1525,f1530,f1535,f1540,f1545,f1550,f1555,f1561,f1566,f1571,f1577,f1582,f1588,f1593,f1599,f1605,f1610,f1615,f1620,f1625,f1630,f1635,f1640,f1645,f1650,f1656,f1664,f1669,f1674,f1679,f1684,f1689,f1694,f1699,f1704,f1709,f1714,f1719,f1724,f1729,f1734,f1739,f1744,f1749,f1754,f1760,f1765,f1770,f1775,f1781,f1786,f1791,f1797,f1802,f1808,f1813,f1818,f1823,f1828,f1833,f1838,f1843,f1848,f1853,f1858,f1863,f1868,f1873,f1878,f1883,f1888,f1893,f1898,f1903,f1908,f1913,f1919,f1924,f1930,f1935,f1940,f1945,f1951,f1956,f1962,f1967,f1972,f1977,f1982,f1987,f1992,f1997,f2002,f2007,f2012,f2017,f2022,f2028,f2033,f2039,f2044,f2050,f2055,f2061,f2066,f2073,f2079,f2084,f2093,f2098,f2103,f2112,f2122,f2132,f2138,f2151,f2156,f2165,f2174,f2179,f2188,f2193,f2198,f2200,f2207,f2214,f2219,f2231,f2238,f2245,f2247,f2253,f2268,f2271,f2289,f2308,f2310,f2316,f2327,f2347,f2350,f2354,f2357,f2360,f2364,f2371,f2374,f2391,f2419,f2434,f2451,f2453,f2482,f2496,f2521,f2540,f2546,f2553,f2560,f2565,f2577,f2586,f2594,f2596,f2603,f2621,f2630,f2632,f2639,f2646,f2652,f2661,f2685,f2694,f2704,f2739,f2765,f2782,f2824,f2829,f2836,f2852,f2908,f2916,f2966,f2986,f2994,f3008,f3013,f3021,f3029,f3037,f3043,f3063,f3085,f3094,f3112,f3131,f3136,f3142,f3160,f3165,f3172,f3182,f3189,f3216,f3254,f3273,f3286,f3329,f3332,f3336,f3343,f3357,f3376,f3382,f3434,f3456,f3467,f3479,f3484,f3495,f3508,f3524,f3548,f3549,f3562,f3576,f3618,f3640,f3662,f3666,f3685,f3690,f3695,f3705,f3716,f3717,f3728,f3759,f3787,f3796,f3801,f3824,f3850,f3866,f3872,f3883,f3890,f3898,f3903,f3904,f3915,f3925,f3928,f3954,f3956,f3960,f3975,f3984,f3989,f4010,f4017,f4023,f4027,f4043,f4049,f4052,f4061,f4069,f4092,f4104,f4110,f4113,f4123,f4149,f4153,f4180,f4193,f4196,f4203,f4230,f4237,f4240,f4244,f4258,f4269,f4272,f4277,f4289,f4320,f4323,f4327,f4355,f4383,f4396,f4420,f4441,f4460,f4473,f4486,f4497,f4552,f4561,f4574,f4580,f4652,f4705,f4708,f4711,f4715,f4719,f4723,f4727,f4732,f4737,f4741,f4746,f4750,f4755,f4759,f4764,f4773,f4827,f4872,f4876,f4881,f4886,f4889,f4894,f4899,f4905,f4910,f4925,f4931,f4949,f4959,f4965,f4972,f4979,f4982,f4988,f4991,f5002,f5024,f5031,f5037,f5045,f5073,f5079,f5084,f5087,f5098,f5119,f5120,f5125,f5143,f5149,f5155,f5161,f5182,f5209,f5307,f5373,f5380,f5381,f5385,f5390,f5394,f5399,f5403,f5458,f5502,f5508,f5511,f5516,f5521,f5525,f5569,f5584,f5607,f5678,f5743,f5745,f5748,f5751,f5755,f5757,f5764,f5769,f5773,f5830,f5873,f5879,f5882,f5885,f5932,f5946,f5966,f6038,f6093,f6098,f6103,f6108,f6113,f6116,f6119,f6122,f6127,f6132,f6133,f6188,f6226,f6232,f6235,f6238,f6243,f6248,f6293,f6306,f6326,f6331,f6335,f6492,f6541,f6590,f6669,f6732,f6768,f6833,f6932,f6975,f6978,f7015,f7016,f7017,f7053,f7089,f7091,f7111,f7126,f7171,f7176,f7177,f7189,f7208,f7213,f7218,f7224,f7230,f7236,f7242,f7249,f7254,f7259,f7264,f7272,f7277,f7282,f7287,f7292,f7297,f7302,f7307,f7312,f7317,f7322,f7328,f7333,f7338,f7343,f7348,f7355,f7360,f7365,f7370,f7375,f7384,f7390,f7395,f7401,f7407,f7412,f7418,f7424,f7430,f7431,f7455,f7460,f7465,f7470,f7475,f7480,f7485,f7490,f7495,f7500,f7505,f7510,f7515,f7520,f7525,f7526,f7531,f7536,f7541,f7546,f7547,f7623,f7683,f7685,f7688,f7764,f7838,f7878,f7914,f7949,f7970,f7971,f7978,f8005,f8009,f8010,f8020,f8025,f8026,f8032,f8037,f8042,f8047,f8052,f8057,f8063,f8069,f8078,f8080,f8096,f8102,f8108,f8114,f8120,f8125,f8130,f8135,f8140,f8150,f8153,f8164,f8167,f8168,f8174,f8186,f8256,f8299,f8300,f8324,f8330,f8331,f8332,f8336,f8356,f8358,f8375,f8392,f8393,f8398,f8403,f8408,f8418,f8423,f8424,f8429,f8438,f8443,f8452,f8454,f8468,f8488,f8500,f8510,f8525,f8532,f8536,f8538,f8543,f8551,f8555,f8559,f8567,f8573,f8578,f8584,f8601,f8633,f8639,f8656,f9680,f9732,f9760,f9920,f9974,f10007,f10008,f10009,f10010,f10059,f10064,f10071,f10072,f10075,f10077,f10174,f10184,f10187,f10188,f10193,f10198,f10199,f10204,f10205,f10212,f10215,f10225,f10236,f10241,f10246,f10251,f10272,f10274,f10294,f10318]) ).
fof(f10318,plain,
( ~ spl44_325
| ~ spl44_29
| ~ spl44_46
| ~ spl44_109
| ~ spl44_262
| ~ spl44_264
| ~ spl44_306
| ~ spl44_345
| spl44_471 ),
inference(avatar_split_clause,[],[f10317,f6282,f5034,f4200,f2167,f2158,f1372,f1072,f993,f4770]) ).
fof(f4770,plain,
( spl44_325
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_325])]) ).
fof(f993,plain,
( spl44_29
<=> e20 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_29])]) ).
fof(f1072,plain,
( spl44_46
<=> e20 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_46])]) ).
fof(f1372,plain,
( spl44_109
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_109])]) ).
fof(f2158,plain,
( spl44_262
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_262])]) ).
fof(f2167,plain,
( spl44_264
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_264])]) ).
fof(f4200,plain,
( spl44_306
<=> e23 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_306])]) ).
fof(f5034,plain,
( spl44_345
<=> e20 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_345])]) ).
fof(f6282,plain,
( spl44_471
<=> h1(op1(e13,e11)) = op2(h1(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_471])]) ).
fof(f10317,plain,
( e20 != op2(e20,e20)
| ~ spl44_29
| ~ spl44_46
| ~ spl44_109
| ~ spl44_262
| ~ spl44_264
| ~ spl44_306
| ~ spl44_345
| spl44_471 ),
inference(forward_demodulation,[],[f10316,f5036]) ).
fof(f5036,plain,
( e20 = h1(e11)
| ~ spl44_345 ),
inference(avatar_component_clause,[],[f5034]) ).
fof(f10316,plain,
( op2(e20,e20) != h1(e11)
| ~ spl44_29
| ~ spl44_46
| ~ spl44_109
| ~ spl44_262
| ~ spl44_264
| ~ spl44_306
| spl44_471 ),
inference(forward_demodulation,[],[f10315,f1374]) ).
fof(f1374,plain,
( e11 = op1(e13,e11)
| ~ spl44_109 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f10315,plain,
( op2(e20,e20) != h1(op1(e13,e11))
| ~ spl44_29
| ~ spl44_46
| ~ spl44_262
| ~ spl44_264
| ~ spl44_306
| spl44_471 ),
inference(forward_demodulation,[],[f10314,f995]) ).
fof(f995,plain,
( e20 = h1(e13)
| ~ spl44_29 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f10314,plain,
( h1(op1(e13,e11)) != op2(h1(e13),e20)
| ~ spl44_46
| ~ spl44_262
| ~ spl44_264
| ~ spl44_306
| spl44_471 ),
inference(forward_demodulation,[],[f6284,f10074]) ).
fof(f10074,plain,
( e20 = e23
| ~ spl44_46
| ~ spl44_262
| ~ spl44_264
| ~ spl44_306 ),
inference(forward_demodulation,[],[f10073,f1073]) ).
fof(f1073,plain,
( e20 = h3(e10)
| ~ spl44_46 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f10073,plain,
( e23 = h3(e10)
| ~ spl44_262
| ~ spl44_264
| ~ spl44_306 ),
inference(forward_demodulation,[],[f4202,f4037]) ).
fof(f4037,plain,
( e10 = e12
| ~ spl44_262
| ~ spl44_264 ),
inference(superposition,[],[f2168,f2159]) ).
fof(f2159,plain,
( e10 = op1(e11,e11)
| ~ spl44_262 ),
inference(avatar_component_clause,[],[f2158]) ).
fof(f2168,plain,
( e12 = op1(e11,e11)
| ~ spl44_264 ),
inference(avatar_component_clause,[],[f2167]) ).
fof(f4202,plain,
( e23 = h3(e12)
| ~ spl44_306 ),
inference(avatar_component_clause,[],[f4200]) ).
fof(f6284,plain,
( h1(op1(e13,e11)) != op2(h1(e13),e23)
| spl44_471 ),
inference(avatar_component_clause,[],[f6282]) ).
fof(f10294,plain,
( spl44_2
| ~ spl44_29
| ~ spl44_78
| ~ spl44_133
| ~ spl44_233
| ~ spl44_268
| ~ spl44_297
| ~ spl44_325
| ~ spl44_442
| ~ spl44_460
| ~ spl44_471 ),
inference(avatar_split_clause,[],[f10281,f6282,f6173,f6003,f4770,f3659,f2185,f2004,f1483,f1226,f993,f858]) ).
fof(f858,plain,
( spl44_2
<=> e20 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_2])]) ).
fof(f1226,plain,
( spl44_78
<=> op2(e20,e20) = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_78])]) ).
fof(f1483,plain,
( spl44_133
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_133])]) ).
fof(f2004,plain,
( spl44_233
<=> h1(e11) = op2(h1(e12),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_233])]) ).
fof(f2185,plain,
( spl44_268
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_268])]) ).
fof(f3659,plain,
( spl44_297
<=> e20 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_297])]) ).
fof(f6003,plain,
( spl44_442
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_442])]) ).
fof(f6173,plain,
( spl44_460
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_460])]) ).
fof(f10281,plain,
( e20 = e22
| ~ spl44_29
| ~ spl44_78
| ~ spl44_133
| ~ spl44_233
| ~ spl44_268
| ~ spl44_297
| ~ spl44_325
| ~ spl44_442
| ~ spl44_460
| ~ spl44_471 ),
inference(forward_demodulation,[],[f10280,f4771]) ).
fof(f4771,plain,
( e20 = op2(e20,e20)
| ~ spl44_325 ),
inference(avatar_component_clause,[],[f4770]) ).
fof(f10280,plain,
( op2(e20,e20) = e22
| ~ spl44_29
| ~ spl44_78
| ~ spl44_133
| ~ spl44_233
| ~ spl44_268
| ~ spl44_297
| ~ spl44_325
| ~ spl44_442
| ~ spl44_460
| ~ spl44_471 ),
inference(forward_demodulation,[],[f7729,f8703]) ).
fof(f8703,plain,
( e22 = h1(op1(e13,e11))
| ~ spl44_29
| ~ spl44_133
| ~ spl44_471 ),
inference(forward_demodulation,[],[f8333,f1485]) ).
fof(f1485,plain,
( e22 = op2(e20,e23)
| ~ spl44_133 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f8333,plain,
( op2(e20,e23) = h1(op1(e13,e11))
| ~ spl44_29
| ~ spl44_471 ),
inference(forward_demodulation,[],[f6283,f995]) ).
fof(f6283,plain,
( h1(op1(e13,e11)) = op2(h1(e13),e23)
| ~ spl44_471 ),
inference(avatar_component_clause,[],[f6282]) ).
fof(f7729,plain,
( op2(e20,e20) = h1(op1(e13,e11))
| ~ spl44_29
| ~ spl44_78
| ~ spl44_233
| ~ spl44_268
| ~ spl44_297
| ~ spl44_325
| ~ spl44_442
| ~ spl44_460 ),
inference(forward_demodulation,[],[f7728,f995]) ).
fof(f7728,plain,
( h1(op1(e13,e11)) = op2(h1(e13),e20)
| ~ spl44_78
| ~ spl44_233
| ~ spl44_268
| ~ spl44_297
| ~ spl44_325
| ~ spl44_442
| ~ spl44_460 ),
inference(forward_demodulation,[],[f6174,f7717]) ).
fof(f7717,plain,
( e20 = h1(e11)
| ~ spl44_78
| ~ spl44_233
| ~ spl44_268
| ~ spl44_297
| ~ spl44_325
| ~ spl44_442 ),
inference(forward_demodulation,[],[f7716,f3661]) ).
fof(f3661,plain,
( e20 = h1(e12)
| ~ spl44_297 ),
inference(avatar_component_clause,[],[f3659]) ).
fof(f7716,plain,
( h1(e11) = h1(e12)
| ~ spl44_78
| ~ spl44_233
| ~ spl44_268
| ~ spl44_325
| ~ spl44_442 ),
inference(forward_demodulation,[],[f7715,f2187]) ).
fof(f2187,plain,
( e12 = op1(e12,e10)
| ~ spl44_268 ),
inference(avatar_component_clause,[],[f2185]) ).
fof(f7715,plain,
( h1(e11) = h1(op1(e12,e10))
| ~ spl44_78
| ~ spl44_233
| ~ spl44_325
| ~ spl44_442 ),
inference(forward_demodulation,[],[f7714,f2006]) ).
fof(f2006,plain,
( h1(e11) = op2(h1(e12),e20)
| ~ spl44_233 ),
inference(avatar_component_clause,[],[f2004]) ).
fof(f7714,plain,
( h1(op1(e12,e10)) = op2(h1(e12),e20)
| ~ spl44_78
| ~ spl44_325
| ~ spl44_442 ),
inference(forward_demodulation,[],[f6004,f7687]) ).
fof(f7687,plain,
( e20 = h1(e10)
| ~ spl44_78
| ~ spl44_325 ),
inference(superposition,[],[f1228,f4771]) ).
fof(f1228,plain,
( op2(e20,e20) = h1(e10)
| ~ spl44_78 ),
inference(avatar_component_clause,[],[f1226]) ).
fof(f6004,plain,
( h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
| ~ spl44_442 ),
inference(avatar_component_clause,[],[f6003]) ).
fof(f6174,plain,
( h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
| ~ spl44_460 ),
inference(avatar_component_clause,[],[f6173]) ).
fof(f10274,plain,
( ~ spl44_345
| ~ spl44_109
| spl44_577 ),
inference(avatar_split_clause,[],[f10273,f10269,f1372,f5034]) ).
fof(f10269,plain,
( spl44_577
<=> e20 = h1(op1(e13,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_577])]) ).
fof(f10273,plain,
( e20 != h1(e11)
| ~ spl44_109
| spl44_577 ),
inference(forward_demodulation,[],[f10271,f1374]) ).
fof(f10271,plain,
( e20 != h1(op1(e13,e11))
| spl44_577 ),
inference(avatar_component_clause,[],[f10269]) ).
fof(f10272,plain,
( ~ spl44_577
| ~ spl44_29
| spl44_460
| ~ spl44_547 ),
inference(avatar_split_clause,[],[f8382,f8066,f6173,f993,f10269]) ).
fof(f8066,plain,
( spl44_547
<=> e20 = op2(e20,h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_547])]) ).
fof(f8382,plain,
( e20 != h1(op1(e13,e11))
| ~ spl44_29
| spl44_460
| ~ spl44_547 ),
inference(forward_demodulation,[],[f8381,f8068]) ).
fof(f8068,plain,
( e20 = op2(e20,h1(e11))
| ~ spl44_547 ),
inference(avatar_component_clause,[],[f8066]) ).
fof(f8381,plain,
( h1(op1(e13,e11)) != op2(e20,h1(e11))
| ~ spl44_29
| spl44_460 ),
inference(forward_demodulation,[],[f6175,f995]) ).
fof(f6175,plain,
( h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| spl44_460 ),
inference(avatar_component_clause,[],[f6173]) ).
fof(f10251,plain,
( ~ spl44_325
| ~ spl44_345
| spl44_548 ),
inference(avatar_split_clause,[],[f10173,f8093,f5034,f4770]) ).
fof(f8093,plain,
( spl44_548
<=> e20 = op2(h1(e11),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_548])]) ).
fof(f10173,plain,
( e20 != op2(e20,e20)
| ~ spl44_345
| spl44_548 ),
inference(forward_demodulation,[],[f8094,f5036]) ).
fof(f8094,plain,
( e20 != op2(h1(e11),e20)
| spl44_548 ),
inference(avatar_component_clause,[],[f8093]) ).
fof(f10246,plain,
( ~ spl44_253
| ~ spl44_31
| ~ spl44_276
| ~ spl44_277
| ~ spl44_307
| spl44_402 ),
inference(avatar_split_clause,[],[f9784,f5647,f4558,f2313,f2305,f1003,f2109]) ).
fof(f2109,plain,
( spl44_253
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_253])]) ).
fof(f1003,plain,
( spl44_31
<=> e21 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_31])]) ).
fof(f2305,plain,
( spl44_276
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_276])]) ).
fof(f2313,plain,
( spl44_277
<=> e21 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_277])]) ).
fof(f4558,plain,
( spl44_307
<=> e20 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_307])]) ).
fof(f5647,plain,
( spl44_402
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_402])]) ).
fof(f9784,plain,
( e21 != op2(e21,e20)
| ~ spl44_31
| ~ spl44_276
| ~ spl44_277
| ~ spl44_307
| spl44_402 ),
inference(forward_demodulation,[],[f9783,f1005]) ).
fof(f1005,plain,
( e21 = h2(e13)
| ~ spl44_31 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f9783,plain,
( op2(e21,e20) != h2(e13)
| ~ spl44_276
| ~ spl44_277
| ~ spl44_307
| spl44_402 ),
inference(forward_demodulation,[],[f9782,f2307]) ).
fof(f2307,plain,
( e13 = op1(e12,e11)
| ~ spl44_276 ),
inference(avatar_component_clause,[],[f2305]) ).
fof(f9782,plain,
( op2(e21,e20) != h2(op1(e12,e11))
| ~ spl44_277
| ~ spl44_307
| spl44_402 ),
inference(forward_demodulation,[],[f5698,f2315]) ).
fof(f2315,plain,
( e21 = h2(e12)
| ~ spl44_277 ),
inference(avatar_component_clause,[],[f2313]) ).
fof(f5698,plain,
( h2(op1(e12,e11)) != op2(h2(e12),e20)
| ~ spl44_307
| spl44_402 ),
inference(forward_demodulation,[],[f5649,f4560]) ).
fof(f4560,plain,
( e20 = h2(e11)
| ~ spl44_307 ),
inference(avatar_component_clause,[],[f4558]) ).
fof(f5649,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl44_402 ),
inference(avatar_component_clause,[],[f5647]) ).
fof(f10241,plain,
( ~ spl44_253
| ~ spl44_40
| ~ spl44_80
| ~ spl44_237
| ~ spl44_262
| ~ spl44_268
| ~ spl44_277
| ~ spl44_314
| spl44_401 ),
inference(avatar_split_clause,[],[f7024,f5643,f4609,f2313,f2185,f2158,f2025,f1236,f1045,f2109]) ).
fof(f1045,plain,
( spl44_40
<=> e20 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_40])]) ).
fof(f1236,plain,
( spl44_80
<=> op2(e21,e21) = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_80])]) ).
fof(f2025,plain,
( spl44_237
<=> e21 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_237])]) ).
fof(f4609,plain,
( spl44_314
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_314])]) ).
fof(f5643,plain,
( spl44_401
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_401])]) ).
fof(f7024,plain,
( e21 != op2(e21,e20)
| ~ spl44_40
| ~ spl44_80
| ~ spl44_237
| ~ spl44_262
| ~ spl44_268
| ~ spl44_277
| ~ spl44_314
| spl44_401 ),
inference(forward_demodulation,[],[f7023,f2315]) ).
fof(f7023,plain,
( op2(e21,e20) != h2(e12)
| ~ spl44_40
| ~ spl44_80
| ~ spl44_237
| ~ spl44_262
| ~ spl44_268
| ~ spl44_277
| ~ spl44_314
| spl44_401 ),
inference(forward_demodulation,[],[f7022,f2187]) ).
fof(f7022,plain,
( op2(e21,e20) != h2(op1(e12,e10))
| ~ spl44_40
| ~ spl44_80
| ~ spl44_237
| ~ spl44_262
| ~ spl44_277
| ~ spl44_314
| spl44_401 ),
inference(forward_demodulation,[],[f7021,f2315]) ).
fof(f7021,plain,
( h2(op1(e12,e10)) != op2(h2(e12),e20)
| ~ spl44_40
| ~ spl44_80
| ~ spl44_237
| ~ spl44_262
| ~ spl44_314
| spl44_401 ),
inference(forward_demodulation,[],[f5645,f6973]) ).
fof(f6973,plain,
( e20 = h2(e10)
| ~ spl44_40
| ~ spl44_80
| ~ spl44_237
| ~ spl44_262
| ~ spl44_314 ),
inference(forward_demodulation,[],[f6972,f1046]) ).
fof(f1046,plain,
( e20 = h4(e10)
| ~ spl44_40 ),
inference(avatar_component_clause,[],[f1045]) ).
fof(f6972,plain,
( h2(e10) = h4(e10)
| ~ spl44_80
| ~ spl44_237
| ~ spl44_262
| ~ spl44_314 ),
inference(forward_demodulation,[],[f5049,f2159]) ).
fof(f5049,plain,
( h2(e10) = h4(op1(e11,e11))
| ~ spl44_80
| ~ spl44_237
| ~ spl44_314 ),
inference(forward_demodulation,[],[f4747,f1238]) ).
fof(f1238,plain,
( op2(e21,e21) = h2(e10)
| ~ spl44_80 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f4747,plain,
( op2(e21,e21) = h4(op1(e11,e11))
| ~ spl44_237
| ~ spl44_314 ),
inference(forward_demodulation,[],[f4610,f2027]) ).
fof(f2027,plain,
( e21 = h4(e11)
| ~ spl44_237 ),
inference(avatar_component_clause,[],[f2025]) ).
fof(f4610,plain,
( h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
| ~ spl44_314 ),
inference(avatar_component_clause,[],[f4609]) ).
fof(f5645,plain,
( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| spl44_401 ),
inference(avatar_component_clause,[],[f5643]) ).
fof(f10236,plain,
( ~ spl44_253
| ~ spl44_59
| ~ spl44_234
| ~ spl44_262
| ~ spl44_263
| ~ spl44_281
| ~ spl44_306
| spl44_357
| ~ spl44_385 ),
inference(avatar_split_clause,[],[f10040,f5538,f5256,f4200,f2416,f2162,f2158,f2009,f1131,f2109]) ).
fof(f1131,plain,
( spl44_59
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_59])]) ).
fof(f2009,plain,
( spl44_234
<=> h3(e11) = op2(h3(e12),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_234])]) ).
fof(f2162,plain,
( spl44_263
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_263])]) ).
fof(f2416,plain,
( spl44_281
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_281])]) ).
fof(f5256,plain,
( spl44_357
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_357])]) ).
fof(f5538,plain,
( spl44_385
<=> op2(e23,e23) = h3(op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_385])]) ).
fof(f10040,plain,
( e21 != op2(e21,e20)
| ~ spl44_59
| ~ spl44_234
| ~ spl44_262
| ~ spl44_263
| ~ spl44_281
| ~ spl44_306
| spl44_357
| ~ spl44_385 ),
inference(forward_demodulation,[],[f10039,f4417]) ).
fof(f4417,plain,
( e21 = h3(e11)
| ~ spl44_234
| ~ spl44_281
| ~ spl44_306 ),
inference(forward_demodulation,[],[f4416,f2418]) ).
fof(f2418,plain,
( e21 = op2(e23,e22)
| ~ spl44_281 ),
inference(avatar_component_clause,[],[f2416]) ).
fof(f4416,plain,
( op2(e23,e22) = h3(e11)
| ~ spl44_234
| ~ spl44_306 ),
inference(superposition,[],[f2011,f4202]) ).
fof(f2011,plain,
( h3(e11) = op2(h3(e12),e22)
| ~ spl44_234 ),
inference(avatar_component_clause,[],[f2009]) ).
fof(f10039,plain,
( op2(e21,e20) != h3(e11)
| ~ spl44_59
| ~ spl44_234
| ~ spl44_262
| ~ spl44_263
| ~ spl44_281
| ~ spl44_306
| spl44_357
| ~ spl44_385 ),
inference(forward_demodulation,[],[f10038,f2164]) ).
fof(f2164,plain,
( e11 = op1(e11,e10)
| ~ spl44_263 ),
inference(avatar_component_clause,[],[f2162]) ).
fof(f10038,plain,
( op2(e21,e20) != h3(op1(e11,e10))
| ~ spl44_59
| ~ spl44_234
| ~ spl44_262
| ~ spl44_281
| ~ spl44_306
| spl44_357
| ~ spl44_385 ),
inference(forward_demodulation,[],[f6371,f4417]) ).
fof(f6371,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| ~ spl44_59
| ~ spl44_262
| spl44_357
| ~ spl44_385 ),
inference(forward_demodulation,[],[f5258,f6336]) ).
fof(f6336,plain,
( e20 = h3(e10)
| ~ spl44_59
| ~ spl44_262
| ~ spl44_385 ),
inference(forward_demodulation,[],[f5608,f1133]) ).
fof(f1133,plain,
( e20 = op2(e23,e23)
| ~ spl44_59 ),
inference(avatar_component_clause,[],[f1131]) ).
fof(f5608,plain,
( op2(e23,e23) = h3(e10)
| ~ spl44_262
| ~ spl44_385 ),
inference(forward_demodulation,[],[f5539,f2159]) ).
fof(f5539,plain,
( op2(e23,e23) = h3(op1(e11,e11))
| ~ spl44_385 ),
inference(avatar_component_clause,[],[f5538]) ).
fof(f5258,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl44_357 ),
inference(avatar_component_clause,[],[f5256]) ).
fof(f10225,plain,
( ~ spl44_252
| ~ spl44_59
| ~ spl44_234
| ~ spl44_262
| ~ spl44_281
| ~ spl44_306
| spl44_358
| ~ spl44_385 ),
inference(avatar_split_clause,[],[f9392,f5538,f5260,f4200,f2416,f2158,f2009,f1131,f2105]) ).
fof(f2105,plain,
( spl44_252
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_252])]) ).
fof(f5260,plain,
( spl44_358
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_358])]) ).
fof(f9392,plain,
( e20 != op2(e21,e21)
| ~ spl44_59
| ~ spl44_234
| ~ spl44_262
| ~ spl44_281
| ~ spl44_306
| spl44_358
| ~ spl44_385 ),
inference(forward_demodulation,[],[f5348,f6336]) ).
fof(f5348,plain,
( op2(e21,e21) != h3(e10)
| ~ spl44_234
| ~ spl44_262
| ~ spl44_281
| ~ spl44_306
| spl44_358 ),
inference(forward_demodulation,[],[f5347,f2159]) ).
fof(f5347,plain,
( op2(e21,e21) != h3(op1(e11,e11))
| ~ spl44_234
| ~ spl44_281
| ~ spl44_306
| spl44_358 ),
inference(forward_demodulation,[],[f5262,f4417]) ).
fof(f5262,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl44_358 ),
inference(avatar_component_clause,[],[f5260]) ).
fof(f10215,plain,
( ~ spl44_105
| ~ spl44_31
| ~ spl44_117
| ~ spl44_307
| spl44_414 ),
inference(avatar_split_clause,[],[f9211,f5791,f4558,f1409,f1003,f1354]) ).
fof(f1354,plain,
( spl44_105
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_105])]) ).
fof(f1409,plain,
( spl44_117
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_117])]) ).
fof(f5791,plain,
( spl44_414
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_414])]) ).
fof(f9211,plain,
( e21 != op2(e20,e21)
| ~ spl44_31
| ~ spl44_117
| ~ spl44_307
| spl44_414 ),
inference(forward_demodulation,[],[f9210,f1005]) ).
fof(f9210,plain,
( op2(e20,e21) != h2(e13)
| ~ spl44_31
| ~ spl44_117
| ~ spl44_307
| spl44_414 ),
inference(forward_demodulation,[],[f6542,f1411]) ).
fof(f1411,plain,
( e13 = op1(e11,e13)
| ~ spl44_117 ),
inference(avatar_component_clause,[],[f1409]) ).
fof(f6542,plain,
( op2(e20,e21) != h2(op1(e11,e13))
| ~ spl44_31
| ~ spl44_307
| spl44_414 ),
inference(forward_demodulation,[],[f6535,f4560]) ).
fof(f6535,plain,
( h2(op1(e11,e13)) != op2(h2(e11),e21)
| ~ spl44_31
| spl44_414 ),
inference(forward_demodulation,[],[f5793,f1005]) ).
fof(f5793,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl44_414 ),
inference(avatar_component_clause,[],[f5791]) ).
fof(f10212,plain,
( spl44_576
| ~ spl44_59
| ~ spl44_233
| ~ spl44_267
| ~ spl44_268
| ~ spl44_442
| ~ spl44_457 ),
inference(avatar_split_clause,[],[f7863,f6161,f6003,f2185,f2181,f2004,f1131,f10209]) ).
fof(f10209,plain,
( spl44_576
<=> h1(e11) = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_576])]) ).
fof(f2181,plain,
( spl44_267
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_267])]) ).
fof(f6161,plain,
( spl44_457
<=> op2(e23,e23) = h1(op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_457])]) ).
fof(f7863,plain,
( h1(e11) = h1(e12)
| ~ spl44_59
| ~ spl44_233
| ~ spl44_267
| ~ spl44_268
| ~ spl44_442
| ~ spl44_457 ),
inference(forward_demodulation,[],[f7862,f2187]) ).
fof(f7862,plain,
( h1(e11) = h1(op1(e12,e10))
| ~ spl44_59
| ~ spl44_233
| ~ spl44_267
| ~ spl44_442
| ~ spl44_457 ),
inference(forward_demodulation,[],[f7861,f2006]) ).
fof(f7861,plain,
( h1(op1(e12,e10)) = op2(h1(e12),e20)
| ~ spl44_59
| ~ spl44_267
| ~ spl44_442
| ~ spl44_457 ),
inference(forward_demodulation,[],[f6004,f7848]) ).
fof(f7848,plain,
( e20 = h1(e10)
| ~ spl44_59
| ~ spl44_267
| ~ spl44_457 ),
inference(forward_demodulation,[],[f6236,f1133]) ).
fof(f6236,plain,
( op2(e23,e23) = h1(e10)
| ~ spl44_267
| ~ spl44_457 ),
inference(forward_demodulation,[],[f6162,f2182]) ).
fof(f2182,plain,
( e10 = op1(e12,e12)
| ~ spl44_267 ),
inference(avatar_component_clause,[],[f2181]) ).
fof(f6162,plain,
( op2(e23,e23) = h1(op1(e12,e12))
| ~ spl44_457 ),
inference(avatar_component_clause,[],[f6161]) ).
fof(f10205,plain,
( spl44_325
| ~ spl44_29
| ~ spl44_59
| ~ spl44_262
| ~ spl44_269
| ~ spl44_459
| ~ spl44_466 ),
inference(avatar_split_clause,[],[f7573,f6262,f6169,f2190,f2158,f1131,f993,f4770]) ).
fof(f2190,plain,
( spl44_269
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_269])]) ).
fof(f6169,plain,
( spl44_459
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_459])]) ).
fof(f6262,plain,
( spl44_466
<=> op2(e23,e23) = h1(op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_466])]) ).
fof(f7573,plain,
( e20 = op2(e20,e20)
| ~ spl44_29
| ~ spl44_59
| ~ spl44_262
| ~ spl44_269
| ~ spl44_459
| ~ spl44_466 ),
inference(forward_demodulation,[],[f7572,f995]) ).
fof(f7572,plain,
( op2(e20,e20) = h1(e13)
| ~ spl44_29
| ~ spl44_59
| ~ spl44_262
| ~ spl44_269
| ~ spl44_459
| ~ spl44_466 ),
inference(forward_demodulation,[],[f7571,f2192]) ).
fof(f2192,plain,
( e13 = op1(e13,e10)
| ~ spl44_269 ),
inference(avatar_component_clause,[],[f2190]) ).
fof(f7571,plain,
( op2(e20,e20) = h1(op1(e13,e10))
| ~ spl44_29
| ~ spl44_59
| ~ spl44_262
| ~ spl44_459
| ~ spl44_466 ),
inference(forward_demodulation,[],[f7570,f995]) ).
fof(f7570,plain,
( h1(op1(e13,e10)) = op2(h1(e13),e20)
| ~ spl44_59
| ~ spl44_262
| ~ spl44_459
| ~ spl44_466 ),
inference(forward_demodulation,[],[f6170,f7563]) ).
fof(f7563,plain,
( e20 = h1(e10)
| ~ spl44_59
| ~ spl44_262
| ~ spl44_466 ),
inference(forward_demodulation,[],[f6332,f1133]) ).
fof(f6332,plain,
( op2(e23,e23) = h1(e10)
| ~ spl44_262
| ~ spl44_466 ),
inference(forward_demodulation,[],[f6263,f2159]) ).
fof(f6263,plain,
( op2(e23,e23) = h1(op1(e11,e11))
| ~ spl44_466 ),
inference(avatar_component_clause,[],[f6262]) ).
fof(f6170,plain,
( h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
| ~ spl44_459 ),
inference(avatar_component_clause,[],[f6169]) ).
fof(f10204,plain,
( spl44_253
| ~ spl44_40
| ~ spl44_237
| ~ spl44_263
| ~ spl44_313 ),
inference(avatar_split_clause,[],[f6586,f4605,f2162,f2025,f1045,f2109]) ).
fof(f4605,plain,
( spl44_313
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_313])]) ).
fof(f6586,plain,
( e21 = op2(e21,e20)
| ~ spl44_40
| ~ spl44_237
| ~ spl44_263
| ~ spl44_313 ),
inference(forward_demodulation,[],[f6585,f2027]) ).
fof(f6585,plain,
( op2(e21,e20) = h4(e11)
| ~ spl44_40
| ~ spl44_237
| ~ spl44_263
| ~ spl44_313 ),
inference(forward_demodulation,[],[f4752,f2164]) ).
fof(f4752,plain,
( op2(e21,e20) = h4(op1(e11,e10))
| ~ spl44_40
| ~ spl44_237
| ~ spl44_313 ),
inference(forward_demodulation,[],[f4751,f2027]) ).
fof(f4751,plain,
( h4(op1(e11,e10)) = op2(h4(e11),e20)
| ~ spl44_40
| ~ spl44_313 ),
inference(forward_demodulation,[],[f4606,f1046]) ).
fof(f4606,plain,
( h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
| ~ spl44_313 ),
inference(avatar_component_clause,[],[f4605]) ).
fof(f10199,plain,
( ~ spl44_253
| ~ spl44_31
| ~ spl44_59
| ~ spl44_262
| ~ spl44_269
| spl44_419
| ~ spl44_426 ),
inference(avatar_split_clause,[],[f6396,f5901,f5811,f2190,f2158,f1131,f1003,f2109]) ).
fof(f5811,plain,
( spl44_419
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_419])]) ).
fof(f5901,plain,
( spl44_426
<=> op2(e23,e23) = h2(op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_426])]) ).
fof(f6396,plain,
( e21 != op2(e21,e20)
| ~ spl44_31
| ~ spl44_59
| ~ spl44_262
| ~ spl44_269
| spl44_419
| ~ spl44_426 ),
inference(forward_demodulation,[],[f6395,f1005]) ).
fof(f6395,plain,
( op2(e21,e20) != h2(e13)
| ~ spl44_31
| ~ spl44_59
| ~ spl44_262
| ~ spl44_269
| spl44_419
| ~ spl44_426 ),
inference(forward_demodulation,[],[f6394,f2192]) ).
fof(f6394,plain,
( op2(e21,e20) != h2(op1(e13,e10))
| ~ spl44_31
| ~ spl44_59
| ~ spl44_262
| spl44_419
| ~ spl44_426 ),
inference(forward_demodulation,[],[f6393,f1005]) ).
fof(f6393,plain,
( h2(op1(e13,e10)) != op2(h2(e13),e20)
| ~ spl44_59
| ~ spl44_262
| spl44_419
| ~ spl44_426 ),
inference(forward_demodulation,[],[f5813,f6379]) ).
fof(f6379,plain,
( e20 = h2(e10)
| ~ spl44_59
| ~ spl44_262
| ~ spl44_426 ),
inference(forward_demodulation,[],[f5967,f1133]) ).
fof(f5967,plain,
( op2(e23,e23) = h2(e10)
| ~ spl44_262
| ~ spl44_426 ),
inference(forward_demodulation,[],[f5902,f2159]) ).
fof(f5902,plain,
( op2(e23,e23) = h2(op1(e11,e11))
| ~ spl44_426 ),
inference(avatar_component_clause,[],[f5901]) ).
fof(f5813,plain,
( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| spl44_419 ),
inference(avatar_component_clause,[],[f5811]) ).
fof(f10198,plain,
( spl44_255
| ~ spl44_30
| ~ spl44_46
| ~ spl44_269
| ~ spl44_379 ),
inference(avatar_split_clause,[],[f5515,f5443,f2190,f1072,f998,f2119]) ).
fof(f2119,plain,
( spl44_255
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_255])]) ).
fof(f998,plain,
( spl44_30
<=> e22 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_30])]) ).
fof(f5443,plain,
( spl44_379
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_379])]) ).
fof(f5515,plain,
( e22 = op2(e22,e20)
| ~ spl44_30
| ~ spl44_46
| ~ spl44_269
| ~ spl44_379 ),
inference(forward_demodulation,[],[f5514,f1000]) ).
fof(f1000,plain,
( e22 = h3(e13)
| ~ spl44_30 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f5514,plain,
( op2(e22,e20) = h3(e13)
| ~ spl44_30
| ~ spl44_46
| ~ spl44_269
| ~ spl44_379 ),
inference(forward_demodulation,[],[f5513,f2192]) ).
fof(f5513,plain,
( op2(e22,e20) = h3(op1(e13,e10))
| ~ spl44_30
| ~ spl44_46
| ~ spl44_379 ),
inference(forward_demodulation,[],[f5512,f1000]) ).
fof(f5512,plain,
( h3(op1(e13,e10)) = op2(h3(e13),e20)
| ~ spl44_46
| ~ spl44_379 ),
inference(forward_demodulation,[],[f5444,f1073]) ).
fof(f5444,plain,
( h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
| ~ spl44_379 ),
inference(avatar_component_clause,[],[f5443]) ).
fof(f10193,plain,
( ~ spl44_97
| ~ spl44_30
| ~ spl44_117
| ~ spl44_234
| ~ spl44_281
| ~ spl44_306
| spl44_374 ),
inference(avatar_split_clause,[],[f5491,f5423,f4200,f2416,f2009,f1409,f998,f1318]) ).
fof(f1318,plain,
( spl44_97
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_97])]) ).
fof(f5423,plain,
( spl44_374
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_374])]) ).
fof(f5491,plain,
( e22 != op2(e21,e22)
| ~ spl44_30
| ~ spl44_117
| ~ spl44_234
| ~ spl44_281
| ~ spl44_306
| spl44_374 ),
inference(forward_demodulation,[],[f5490,f1000]) ).
fof(f5490,plain,
( op2(e21,e22) != h3(e13)
| ~ spl44_30
| ~ spl44_117
| ~ spl44_234
| ~ spl44_281
| ~ spl44_306
| spl44_374 ),
inference(forward_demodulation,[],[f5489,f1411]) ).
fof(f5489,plain,
( op2(e21,e22) != h3(op1(e11,e13))
| ~ spl44_30
| ~ spl44_234
| ~ spl44_281
| ~ spl44_306
| spl44_374 ),
inference(forward_demodulation,[],[f5488,f4417]) ).
fof(f5488,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e22)
| ~ spl44_30
| spl44_374 ),
inference(forward_demodulation,[],[f5425,f1000]) ).
fof(f5425,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl44_374 ),
inference(avatar_component_clause,[],[f5423]) ).
fof(f10188,plain,
( ~ spl44_272
| ~ spl44_30
| ~ spl44_234
| ~ spl44_276
| ~ spl44_281
| ~ spl44_306
| spl44_376 ),
inference(avatar_split_clause,[],[f5483,f5431,f4200,f2416,f2305,f2009,f998,f2265]) ).
fof(f2265,plain,
( spl44_272
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_272])]) ).
fof(f5431,plain,
( spl44_376
<=> h3(op1(e12,e11)) = op2(e23,h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_376])]) ).
fof(f5483,plain,
( e22 != op2(e23,e21)
| ~ spl44_30
| ~ spl44_234
| ~ spl44_276
| ~ spl44_281
| ~ spl44_306
| spl44_376 ),
inference(forward_demodulation,[],[f5482,f1000]) ).
fof(f5482,plain,
( op2(e23,e21) != h3(e13)
| ~ spl44_234
| ~ spl44_276
| ~ spl44_281
| ~ spl44_306
| spl44_376 ),
inference(forward_demodulation,[],[f5481,f2307]) ).
fof(f5481,plain,
( op2(e23,e21) != h3(op1(e12,e11))
| ~ spl44_234
| ~ spl44_281
| ~ spl44_306
| spl44_376 ),
inference(forward_demodulation,[],[f5433,f4417]) ).
fof(f5433,plain,
( h3(op1(e12,e11)) != op2(e23,h3(e11))
| spl44_376 ),
inference(avatar_component_clause,[],[f5431]) ).
fof(f10187,plain,
( spl44_252
| ~ spl44_40
| ~ spl44_237
| ~ spl44_262
| ~ spl44_314 ),
inference(avatar_split_clause,[],[f5199,f4609,f2158,f2025,f1045,f2105]) ).
fof(f5199,plain,
( e20 = op2(e21,e21)
| ~ spl44_40
| ~ spl44_237
| ~ spl44_262
| ~ spl44_314 ),
inference(forward_demodulation,[],[f4748,f1046]) ).
fof(f4748,plain,
( op2(e21,e21) = h4(e10)
| ~ spl44_237
| ~ spl44_262
| ~ spl44_314 ),
inference(forward_demodulation,[],[f4747,f2159]) ).
fof(f10184,plain,
( ~ spl44_30
| ~ spl44_59
| ~ spl44_133
| ~ spl44_262
| ~ spl44_302
| spl44_383
| ~ spl44_385 ),
inference(avatar_split_clause,[],[f9841,f5538,f5530,f4003,f2158,f1483,f1131,f998]) ).
fof(f4003,plain,
( spl44_302
<=> e13 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_302])]) ).
fof(f5530,plain,
( spl44_383
<=> h3(op1(e10,e11)) = op2(h3(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_383])]) ).
fof(f9841,plain,
( e22 != h3(e13)
| ~ spl44_59
| ~ spl44_133
| ~ spl44_262
| ~ spl44_302
| spl44_383
| ~ spl44_385 ),
inference(forward_demodulation,[],[f8890,f4005]) ).
fof(f4005,plain,
( e13 = op1(e10,e11)
| ~ spl44_302 ),
inference(avatar_component_clause,[],[f4003]) ).
fof(f8890,plain,
( e22 != h3(op1(e10,e11))
| ~ spl44_59
| ~ spl44_133
| ~ spl44_262
| spl44_383
| ~ spl44_385 ),
inference(forward_demodulation,[],[f6337,f1485]) ).
fof(f6337,plain,
( op2(e20,e23) != h3(op1(e10,e11))
| ~ spl44_59
| ~ spl44_262
| spl44_383
| ~ spl44_385 ),
inference(forward_demodulation,[],[f5532,f6336]) ).
fof(f5532,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e23)
| spl44_383 ),
inference(avatar_component_clause,[],[f5530]) ).
fof(f10174,plain,
( ~ spl44_345
| ~ spl44_59
| ~ spl44_78
| ~ spl44_262
| ~ spl44_265
| ~ spl44_297
| ~ spl44_345
| spl44_440
| ~ spl44_466 ),
inference(avatar_split_clause,[],[f9775,f6262,f5995,f5034,f3659,f2171,f2158,f1226,f1131,f5034]) ).
fof(f2171,plain,
( spl44_265
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_265])]) ).
fof(f5995,plain,
( spl44_440
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_440])]) ).
fof(f9775,plain,
( e20 != h1(e11)
| ~ spl44_59
| ~ spl44_78
| ~ spl44_262
| ~ spl44_265
| ~ spl44_297
| ~ spl44_345
| spl44_440
| ~ spl44_466 ),
inference(forward_demodulation,[],[f9357,f2173]) ).
fof(f2173,plain,
( e11 = op1(e11,e12)
| ~ spl44_265 ),
inference(avatar_component_clause,[],[f2171]) ).
fof(f9357,plain,
( e20 != h1(op1(e11,e12))
| ~ spl44_59
| ~ spl44_78
| ~ spl44_262
| ~ spl44_297
| ~ spl44_345
| spl44_440
| ~ spl44_466 ),
inference(forward_demodulation,[],[f9356,f7563]) ).
fof(f9356,plain,
( h1(e10) != h1(op1(e11,e12))
| ~ spl44_78
| ~ spl44_297
| ~ spl44_345
| spl44_440 ),
inference(forward_demodulation,[],[f6069,f1228]) ).
fof(f6069,plain,
( op2(e20,e20) != h1(op1(e11,e12))
| ~ spl44_297
| ~ spl44_345
| spl44_440 ),
inference(forward_demodulation,[],[f6068,f5036]) ).
fof(f6068,plain,
( h1(op1(e11,e12)) != op2(h1(e11),e20)
| ~ spl44_297
| spl44_440 ),
inference(forward_demodulation,[],[f5997,f3661]) ).
fof(f5997,plain,
( h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| spl44_440 ),
inference(avatar_component_clause,[],[f5995]) ).
fof(f10077,plain,
( ~ spl44_345
| ~ spl44_265
| ~ spl44_297
| spl44_440
| ~ spl44_548 ),
inference(avatar_split_clause,[],[f9774,f8093,f5995,f3659,f2171,f5034]) ).
fof(f9774,plain,
( e20 != h1(e11)
| ~ spl44_265
| ~ spl44_297
| spl44_440
| ~ spl44_548 ),
inference(forward_demodulation,[],[f9358,f2173]) ).
fof(f9358,plain,
( e20 != h1(op1(e11,e12))
| ~ spl44_297
| spl44_440
| ~ spl44_548 ),
inference(forward_demodulation,[],[f6068,f8095]) ).
fof(f8095,plain,
( e20 = op2(h1(e11),e20)
| ~ spl44_548 ),
inference(avatar_component_clause,[],[f8093]) ).
fof(f10075,plain,
( spl44_297
| ~ spl44_59
| ~ spl44_239
| ~ spl44_263
| ~ spl44_267
| ~ spl44_345
| ~ spl44_435
| ~ spl44_438
| ~ spl44_457
| ~ spl44_548
| ~ spl44_557 ),
inference(avatar_split_clause,[],[f8984,f8147,f8093,f6161,f5987,f5975,f5034,f2181,f2162,f2036,f1131,f3659]) ).
fof(f2036,plain,
( spl44_239
<=> h1(e12) = op2(h1(e10),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_239])]) ).
fof(f5975,plain,
( spl44_435
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_435])]) ).
fof(f5987,plain,
( spl44_438
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_438])]) ).
fof(f8147,plain,
( spl44_557
<=> h1(e11) = op2(h1(e10),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_557])]) ).
fof(f8984,plain,
( e20 = h1(e12)
| ~ spl44_59
| ~ spl44_239
| ~ spl44_263
| ~ spl44_267
| ~ spl44_345
| ~ spl44_435
| ~ spl44_438
| ~ spl44_457
| ~ spl44_548
| ~ spl44_557 ),
inference(forward_demodulation,[],[f6110,f8787]) ).
fof(f8787,plain,
( e20 = h1(op1(e10,e11))
| ~ spl44_59
| ~ spl44_263
| ~ spl44_267
| ~ spl44_435
| ~ spl44_438
| ~ spl44_457
| ~ spl44_548
| ~ spl44_557 ),
inference(forward_demodulation,[],[f8786,f8780]) ).
fof(f8780,plain,
( e20 = h1(e11)
| ~ spl44_59
| ~ spl44_263
| ~ spl44_267
| ~ spl44_438
| ~ spl44_457
| ~ spl44_548 ),
inference(forward_demodulation,[],[f8779,f2164]) ).
fof(f8779,plain,
( e20 = h1(op1(e11,e10))
| ~ spl44_59
| ~ spl44_267
| ~ spl44_438
| ~ spl44_457
| ~ spl44_548 ),
inference(forward_demodulation,[],[f7855,f8095]) ).
fof(f7855,plain,
( h1(op1(e11,e10)) = op2(h1(e11),e20)
| ~ spl44_59
| ~ spl44_267
| ~ spl44_438
| ~ spl44_457 ),
inference(forward_demodulation,[],[f5988,f7848]) ).
fof(f5988,plain,
( h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
| ~ spl44_438 ),
inference(avatar_component_clause,[],[f5987]) ).
fof(f8786,plain,
( h1(e11) = h1(op1(e10,e11))
| ~ spl44_435
| ~ spl44_557 ),
inference(forward_demodulation,[],[f5976,f8149]) ).
fof(f8149,plain,
( h1(e11) = op2(h1(e10),h1(e11))
| ~ spl44_557 ),
inference(avatar_component_clause,[],[f8147]) ).
fof(f5976,plain,
( h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
| ~ spl44_435 ),
inference(avatar_component_clause,[],[f5975]) ).
fof(f6110,plain,
( h1(e12) = h1(op1(e10,e11))
| ~ spl44_239
| ~ spl44_345
| ~ spl44_435 ),
inference(forward_demodulation,[],[f6109,f2038]) ).
fof(f2038,plain,
( h1(e12) = op2(h1(e10),e20)
| ~ spl44_239 ),
inference(avatar_component_clause,[],[f2036]) ).
fof(f6109,plain,
( h1(op1(e10,e11)) = op2(h1(e10),e20)
| ~ spl44_345
| ~ spl44_435 ),
inference(forward_demodulation,[],[f5976,f5036]) ).
fof(f10072,plain,
( spl44_306
| ~ spl44_59
| ~ spl44_258
| ~ spl44_262
| ~ spl44_268
| ~ spl44_375
| ~ spl44_385 ),
inference(avatar_split_clause,[],[f8921,f5538,f5427,f2185,f2158,f2135,f1131,f4200]) ).
fof(f2135,plain,
( spl44_258
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_258])]) ).
fof(f5427,plain,
( spl44_375
<=> h3(op1(e12,e10)) = op2(e23,h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_375])]) ).
fof(f8921,plain,
( e23 = h3(e12)
| ~ spl44_59
| ~ spl44_258
| ~ spl44_262
| ~ spl44_268
| ~ spl44_375
| ~ spl44_385 ),
inference(forward_demodulation,[],[f6347,f2137]) ).
fof(f2137,plain,
( e23 = op2(e23,e20)
| ~ spl44_258 ),
inference(avatar_component_clause,[],[f2135]) ).
fof(f6347,plain,
( op2(e23,e20) = h3(e12)
| ~ spl44_59
| ~ spl44_262
| ~ spl44_268
| ~ spl44_375
| ~ spl44_385 ),
inference(forward_demodulation,[],[f6346,f2187]) ).
fof(f6346,plain,
( op2(e23,e20) = h3(op1(e12,e10))
| ~ spl44_59
| ~ spl44_262
| ~ spl44_375
| ~ spl44_385 ),
inference(forward_demodulation,[],[f5428,f6336]) ).
fof(f5428,plain,
( h3(op1(e12,e10)) = op2(e23,h3(e10))
| ~ spl44_375 ),
inference(avatar_component_clause,[],[f5427]) ).
fof(f10071,plain,
( spl44_345
| ~ spl44_59
| ~ spl44_263
| ~ spl44_267
| ~ spl44_438
| ~ spl44_457
| ~ spl44_548 ),
inference(avatar_split_clause,[],[f8780,f8093,f6161,f5987,f2181,f2162,f1131,f5034]) ).
fof(f10064,plain,
( spl44_4
| ~ spl44_234
| ~ spl44_281
| ~ spl44_299
| ~ spl44_306
| ~ spl44_355
| ~ spl44_483 ),
inference(avatar_split_clause,[],[f10018,f7239,f5248,f4200,f3895,f2416,f2009,f868]) ).
fof(f868,plain,
( spl44_4
<=> e21 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_4])]) ).
fof(f3895,plain,
( spl44_299
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_299])]) ).
fof(f5248,plain,
( spl44_355
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_355])]) ).
fof(f7239,plain,
( spl44_483
<=> e22 = op2(h3(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_483])]) ).
fof(f10018,plain,
( e21 = e22
| ~ spl44_234
| ~ spl44_281
| ~ spl44_299
| ~ spl44_306
| ~ spl44_355
| ~ spl44_483 ),
inference(forward_demodulation,[],[f9777,f4417]) ).
fof(f9777,plain,
( e22 = h3(e11)
| ~ spl44_299
| ~ spl44_306
| ~ spl44_355
| ~ spl44_483 ),
inference(forward_demodulation,[],[f9271,f3897]) ).
fof(f3897,plain,
( e11 = op1(e10,e12)
| ~ spl44_299 ),
inference(avatar_component_clause,[],[f3895]) ).
fof(f9271,plain,
( e22 = h3(op1(e10,e12))
| ~ spl44_306
| ~ spl44_355
| ~ spl44_483 ),
inference(forward_demodulation,[],[f5395,f7241]) ).
fof(f7241,plain,
( e22 = op2(h3(e10),e23)
| ~ spl44_483 ),
inference(avatar_component_clause,[],[f7239]) ).
fof(f5395,plain,
( h3(op1(e10,e12)) = op2(h3(e10),e23)
| ~ spl44_306
| ~ spl44_355 ),
inference(forward_demodulation,[],[f5249,f4202]) ).
fof(f5249,plain,
( h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
| ~ spl44_355 ),
inference(avatar_component_clause,[],[f5248]) ).
fof(f10059,plain,
( spl44_4
| ~ spl44_59
| ~ spl44_133
| ~ spl44_234
| ~ spl44_262
| ~ spl44_281
| ~ spl44_299
| ~ spl44_306
| ~ spl44_371
| ~ spl44_385 ),
inference(avatar_split_clause,[],[f10012,f5538,f5411,f4200,f3895,f2416,f2158,f2009,f1483,f1131,f868]) ).
fof(f5411,plain,
( spl44_371
<=> h3(op1(e10,e12)) = op2(h3(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_371])]) ).
fof(f10012,plain,
( e21 = e22
| ~ spl44_59
| ~ spl44_133
| ~ spl44_234
| ~ spl44_262
| ~ spl44_281
| ~ spl44_299
| ~ spl44_306
| ~ spl44_371
| ~ spl44_385 ),
inference(forward_demodulation,[],[f9840,f4417]) ).
fof(f9840,plain,
( e22 = h3(e11)
| ~ spl44_59
| ~ spl44_133
| ~ spl44_262
| ~ spl44_299
| ~ spl44_371
| ~ spl44_385 ),
inference(forward_demodulation,[],[f8925,f3897]) ).
fof(f8925,plain,
( e22 = h3(op1(e10,e12))
| ~ spl44_59
| ~ spl44_133
| ~ spl44_262
| ~ spl44_371
| ~ spl44_385 ),
inference(forward_demodulation,[],[f6343,f1485]) ).
fof(f6343,plain,
( op2(e20,e23) = h3(op1(e10,e12))
| ~ spl44_59
| ~ spl44_262
| ~ spl44_371
| ~ spl44_385 ),
inference(forward_demodulation,[],[f5412,f6336]) ).
fof(f5412,plain,
( h3(op1(e10,e12)) = op2(h3(e10),e23)
| ~ spl44_371 ),
inference(avatar_component_clause,[],[f5411]) ).
fof(f10010,plain,
( spl44_475
| ~ spl44_30
| ~ spl44_61
| ~ spl44_117
| ~ spl44_378
| ~ spl44_387 ),
inference(avatar_split_clause,[],[f8677,f5546,f5439,f1409,f1141,f998,f7168]) ).
fof(f7168,plain,
( spl44_475
<=> e22 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_475])]) ).
fof(f1141,plain,
( spl44_61
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_61])]) ).
fof(f5439,plain,
( spl44_378
<=> h3(op1(e12,e13)) = op2(e23,h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_378])]) ).
fof(f5546,plain,
( spl44_387
<=> h3(op1(e11,e13)) = op2(e23,h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_387])]) ).
fof(f8677,plain,
( e22 = h3(e11)
| ~ spl44_30
| ~ spl44_61
| ~ spl44_117
| ~ spl44_378
| ~ spl44_387 ),
inference(forward_demodulation,[],[f8561,f8558]) ).
fof(f8558,plain,
( e22 = op2(e23,e22)
| ~ spl44_30
| ~ spl44_117
| ~ spl44_387 ),
inference(forward_demodulation,[],[f8557,f1000]) ).
fof(f8557,plain,
( op2(e23,e22) = h3(e13)
| ~ spl44_30
| ~ spl44_117
| ~ spl44_387 ),
inference(forward_demodulation,[],[f8556,f1411]) ).
fof(f8556,plain,
( op2(e23,e22) = h3(op1(e11,e13))
| ~ spl44_30
| ~ spl44_387 ),
inference(forward_demodulation,[],[f5547,f1000]) ).
fof(f5547,plain,
( h3(op1(e11,e13)) = op2(e23,h3(e13))
| ~ spl44_387 ),
inference(avatar_component_clause,[],[f5546]) ).
fof(f8561,plain,
( op2(e23,e22) = h3(e11)
| ~ spl44_30
| ~ spl44_61
| ~ spl44_378 ),
inference(forward_demodulation,[],[f8560,f1143]) ).
fof(f1143,plain,
( e11 = op1(e12,e13)
| ~ spl44_61 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f8560,plain,
( op2(e23,e22) = h3(op1(e12,e13))
| ~ spl44_30
| ~ spl44_378 ),
inference(forward_demodulation,[],[f5440,f1000]) ).
fof(f5440,plain,
( h3(op1(e12,e13)) = op2(e23,h3(e13))
| ~ spl44_378 ),
inference(avatar_component_clause,[],[f5439]) ).
fof(f10009,plain,
( spl44_58
| ~ spl44_59
| ~ spl44_262
| ~ spl44_466 ),
inference(avatar_split_clause,[],[f7563,f6262,f2158,f1131,f1126]) ).
fof(f1126,plain,
( spl44_58
<=> e20 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_58])]) ).
fof(f10008,plain,
( spl44_52
| ~ spl44_59
| ~ spl44_262
| ~ spl44_426 ),
inference(avatar_split_clause,[],[f6379,f5901,f2158,f1131,f1099]) ).
fof(f1099,plain,
( spl44_52
<=> e20 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_52])]) ).
fof(f10007,plain,
( spl44_46
| ~ spl44_59
| ~ spl44_262
| ~ spl44_385 ),
inference(avatar_split_clause,[],[f6336,f5538,f2158,f1131,f1072]) ).
fof(f9974,plain,
( spl44_4
| ~ spl44_31
| ~ spl44_117
| ~ spl44_272
| ~ spl44_428 ),
inference(avatar_split_clause,[],[f9494,f5909,f2265,f1409,f1003,f868]) ).
fof(f5909,plain,
( spl44_428
<=> h2(op1(e11,e13)) = op2(e23,h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_428])]) ).
fof(f9494,plain,
( e21 = e22
| ~ spl44_31
| ~ spl44_117
| ~ spl44_272
| ~ spl44_428 ),
inference(forward_demodulation,[],[f2267,f8535]) ).
fof(f8535,plain,
( e21 = op2(e23,e21)
| ~ spl44_31
| ~ spl44_117
| ~ spl44_428 ),
inference(forward_demodulation,[],[f8534,f1005]) ).
fof(f8534,plain,
( op2(e23,e21) = h2(e13)
| ~ spl44_31
| ~ spl44_117
| ~ spl44_428 ),
inference(forward_demodulation,[],[f8533,f1411]) ).
fof(f8533,plain,
( op2(e23,e21) = h2(op1(e11,e13))
| ~ spl44_31
| ~ spl44_428 ),
inference(forward_demodulation,[],[f5910,f1005]) ).
fof(f5910,plain,
( h2(op1(e11,e13)) = op2(e23,h2(e13))
| ~ spl44_428 ),
inference(avatar_component_clause,[],[f5909]) ).
fof(f2267,plain,
( e22 = op2(e23,e21)
| ~ spl44_272 ),
inference(avatar_component_clause,[],[f2265]) ).
fof(f9920,plain,
( ~ spl44_29
| ~ spl44_31
| ~ spl44_52
| ~ spl44_59
| ~ spl44_262
| ~ spl44_263
| ~ spl44_265
| ~ spl44_269
| ~ spl44_277
| ~ spl44_302
| ~ spl44_307
| ~ spl44_394
| ~ spl44_397
| spl44_399
| ~ spl44_426
| ~ spl44_459
| ~ spl44_466 ),
inference(avatar_contradiction_clause,[],[f9919]) ).
fof(f9919,plain,
( $false
| ~ spl44_29
| ~ spl44_31
| ~ spl44_52
| ~ spl44_59
| ~ spl44_262
| ~ spl44_263
| ~ spl44_265
| ~ spl44_269
| ~ spl44_277
| ~ spl44_302
| ~ spl44_307
| ~ spl44_394
| ~ spl44_397
| spl44_399
| ~ spl44_426
| ~ spl44_459
| ~ spl44_466 ),
inference(trivial_inequality_removal,[],[f9918]) ).
fof(f9918,plain,
( h2(e11) != h2(e11)
| ~ spl44_29
| ~ spl44_31
| ~ spl44_52
| ~ spl44_59
| ~ spl44_262
| ~ spl44_263
| ~ spl44_265
| ~ spl44_269
| ~ spl44_277
| ~ spl44_302
| ~ spl44_307
| ~ spl44_394
| ~ spl44_397
| spl44_399
| ~ spl44_426
| ~ spl44_459
| ~ spl44_466 ),
inference(forward_demodulation,[],[f9917,f2173]) ).
fof(f9917,plain,
( h2(e11) != h2(op1(e11,e12))
| ~ spl44_29
| ~ spl44_31
| ~ spl44_52
| ~ spl44_59
| ~ spl44_262
| ~ spl44_263
| ~ spl44_269
| ~ spl44_277
| ~ spl44_302
| ~ spl44_307
| ~ spl44_394
| ~ spl44_397
| spl44_399
| ~ spl44_426
| ~ spl44_459
| ~ spl44_466 ),
inference(forward_demodulation,[],[f9916,f8806]) ).
fof(f8806,plain,
( h2(e11) = op2(h2(e11),e20)
| ~ spl44_59
| ~ spl44_262
| ~ spl44_263
| ~ spl44_397
| ~ spl44_426 ),
inference(forward_demodulation,[],[f6398,f2164]) ).
fof(f6398,plain,
( h2(op1(e11,e10)) = op2(h2(e11),e20)
| ~ spl44_59
| ~ spl44_262
| ~ spl44_397
| ~ spl44_426 ),
inference(forward_demodulation,[],[f5628,f6379]) ).
fof(f5628,plain,
( h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
| ~ spl44_397 ),
inference(avatar_component_clause,[],[f5627]) ).
fof(f5627,plain,
( spl44_397
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_397])]) ).
fof(f9916,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e20)
| ~ spl44_29
| ~ spl44_31
| ~ spl44_52
| ~ spl44_59
| ~ spl44_262
| ~ spl44_269
| ~ spl44_277
| ~ spl44_302
| ~ spl44_307
| ~ spl44_394
| spl44_399
| ~ spl44_459
| ~ spl44_466 ),
inference(forward_demodulation,[],[f9915,f9714]) ).
fof(f9714,plain,
( e20 = e21
| ~ spl44_29
| ~ spl44_31
| ~ spl44_52
| ~ spl44_59
| ~ spl44_262
| ~ spl44_269
| ~ spl44_302
| ~ spl44_307
| ~ spl44_394
| ~ spl44_459
| ~ spl44_466 ),
inference(forward_demodulation,[],[f9713,f7573]) ).
fof(f9713,plain,
( op2(e20,e20) = e21
| ~ spl44_31
| ~ spl44_52
| ~ spl44_302
| ~ spl44_307
| ~ spl44_394 ),
inference(forward_demodulation,[],[f9712,f1005]) ).
fof(f9712,plain,
( op2(e20,e20) = h2(e13)
| ~ spl44_52
| ~ spl44_302
| ~ spl44_307
| ~ spl44_394 ),
inference(forward_demodulation,[],[f5766,f4005]) ).
fof(f5766,plain,
( op2(e20,e20) = h2(op1(e10,e11))
| ~ spl44_52
| ~ spl44_307
| ~ spl44_394 ),
inference(forward_demodulation,[],[f5765,f1100]) ).
fof(f1100,plain,
( e20 = h2(e10)
| ~ spl44_52 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f5765,plain,
( h2(op1(e10,e11)) = op2(h2(e10),e20)
| ~ spl44_307
| ~ spl44_394 ),
inference(forward_demodulation,[],[f5616,f4560]) ).
fof(f5616,plain,
( h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
| ~ spl44_394 ),
inference(avatar_component_clause,[],[f5615]) ).
fof(f5615,plain,
( spl44_394
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_394])]) ).
fof(f9915,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e21)
| ~ spl44_277
| spl44_399 ),
inference(forward_demodulation,[],[f5637,f2315]) ).
fof(f5637,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl44_399 ),
inference(avatar_component_clause,[],[f5635]) ).
fof(f5635,plain,
( spl44_399
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_399])]) ).
fof(f9760,plain,
( ~ spl44_29
| ~ spl44_31
| ~ spl44_52
| ~ spl44_59
| ~ spl44_262
| ~ spl44_263
| ~ spl44_265
| ~ spl44_269
| ~ spl44_277
| ~ spl44_302
| ~ spl44_307
| ~ spl44_394
| ~ spl44_397
| spl44_399
| ~ spl44_426
| ~ spl44_459
| ~ spl44_466 ),
inference(avatar_contradiction_clause,[],[f9759]) ).
fof(f9759,plain,
( $false
| ~ spl44_29
| ~ spl44_31
| ~ spl44_52
| ~ spl44_59
| ~ spl44_262
| ~ spl44_263
| ~ spl44_265
| ~ spl44_269
| ~ spl44_277
| ~ spl44_302
| ~ spl44_307
| ~ spl44_394
| ~ spl44_397
| spl44_399
| ~ spl44_426
| ~ spl44_459
| ~ spl44_466 ),
inference(trivial_inequality_removal,[],[f9758]) ).
fof(f9758,plain,
( h2(e11) != h2(e11)
| ~ spl44_29
| ~ spl44_31
| ~ spl44_52
| ~ spl44_59
| ~ spl44_262
| ~ spl44_263
| ~ spl44_265
| ~ spl44_269
| ~ spl44_277
| ~ spl44_302
| ~ spl44_307
| ~ spl44_394
| ~ spl44_397
| spl44_399
| ~ spl44_426
| ~ spl44_459
| ~ spl44_466 ),
inference(forward_demodulation,[],[f9757,f2173]) ).
fof(f9757,plain,
( h2(e11) != h2(op1(e11,e12))
| ~ spl44_29
| ~ spl44_31
| ~ spl44_52
| ~ spl44_59
| ~ spl44_262
| ~ spl44_263
| ~ spl44_269
| ~ spl44_277
| ~ spl44_302
| ~ spl44_307
| ~ spl44_394
| ~ spl44_397
| spl44_399
| ~ spl44_426
| ~ spl44_459
| ~ spl44_466 ),
inference(forward_demodulation,[],[f9756,f8806]) ).
fof(f9756,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e20)
| ~ spl44_29
| ~ spl44_31
| ~ spl44_52
| ~ spl44_59
| ~ spl44_262
| ~ spl44_269
| ~ spl44_277
| ~ spl44_302
| ~ spl44_307
| ~ spl44_394
| spl44_399
| ~ spl44_459
| ~ spl44_466 ),
inference(forward_demodulation,[],[f6762,f9714]) ).
fof(f6762,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e21)
| ~ spl44_277
| spl44_399 ),
inference(forward_demodulation,[],[f5637,f2315]) ).
fof(f9732,plain,
( ~ spl44_29
| ~ spl44_31
| ~ spl44_52
| ~ spl44_59
| ~ spl44_262
| ~ spl44_263
| ~ spl44_265
| ~ spl44_269
| ~ spl44_277
| ~ spl44_302
| ~ spl44_307
| ~ spl44_394
| ~ spl44_397
| spl44_399
| ~ spl44_426
| ~ spl44_459
| ~ spl44_466 ),
inference(avatar_contradiction_clause,[],[f9731]) ).
fof(f9731,plain,
( $false
| ~ spl44_29
| ~ spl44_31
| ~ spl44_52
| ~ spl44_59
| ~ spl44_262
| ~ spl44_263
| ~ spl44_265
| ~ spl44_269
| ~ spl44_277
| ~ spl44_302
| ~ spl44_307
| ~ spl44_394
| ~ spl44_397
| spl44_399
| ~ spl44_426
| ~ spl44_459
| ~ spl44_466 ),
inference(trivial_inequality_removal,[],[f9730]) ).
fof(f9730,plain,
( h2(e11) != h2(e11)
| ~ spl44_29
| ~ spl44_31
| ~ spl44_52
| ~ spl44_59
| ~ spl44_262
| ~ spl44_263
| ~ spl44_265
| ~ spl44_269
| ~ spl44_277
| ~ spl44_302
| ~ spl44_307
| ~ spl44_394
| ~ spl44_397
| spl44_399
| ~ spl44_426
| ~ spl44_459
| ~ spl44_466 ),
inference(forward_demodulation,[],[f9729,f2173]) ).
fof(f9729,plain,
( h2(e11) != h2(op1(e11,e12))
| ~ spl44_29
| ~ spl44_31
| ~ spl44_52
| ~ spl44_59
| ~ spl44_262
| ~ spl44_263
| ~ spl44_269
| ~ spl44_277
| ~ spl44_302
| ~ spl44_307
| ~ spl44_394
| ~ spl44_397
| spl44_399
| ~ spl44_426
| ~ spl44_459
| ~ spl44_466 ),
inference(forward_demodulation,[],[f9728,f8806]) ).
fof(f9728,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e20)
| ~ spl44_29
| ~ spl44_31
| ~ spl44_52
| ~ spl44_59
| ~ spl44_262
| ~ spl44_269
| ~ spl44_277
| ~ spl44_302
| ~ spl44_307
| ~ spl44_394
| spl44_399
| ~ spl44_459
| ~ spl44_466 ),
inference(forward_demodulation,[],[f5711,f9714]) ).
fof(f5711,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e21)
| ~ spl44_277
| spl44_399 ),
inference(forward_demodulation,[],[f5637,f2315]) ).
fof(f9680,plain,
( spl44_2
| ~ spl44_29
| ~ spl44_48
| ~ spl44_59
| ~ spl44_131
| ~ spl44_262
| ~ spl44_269
| ~ spl44_393
| ~ spl44_426
| ~ spl44_459
| ~ spl44_466 ),
inference(avatar_split_clause,[],[f8805,f6262,f6169,f5901,f5611,f2190,f2158,f1472,f1131,f1081,f993,f858]) ).
fof(f1081,plain,
( spl44_48
<=> e22 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_48])]) ).
fof(f1472,plain,
( spl44_131
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_131])]) ).
fof(f5611,plain,
( spl44_393
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_393])]) ).
fof(f8805,plain,
( e20 = e22
| ~ spl44_29
| ~ spl44_48
| ~ spl44_59
| ~ spl44_131
| ~ spl44_262
| ~ spl44_269
| ~ spl44_393
| ~ spl44_426
| ~ spl44_459
| ~ spl44_466 ),
inference(forward_demodulation,[],[f8804,f7573]) ).
fof(f8804,plain,
( op2(e20,e20) = e22
| ~ spl44_48
| ~ spl44_59
| ~ spl44_131
| ~ spl44_262
| ~ spl44_393
| ~ spl44_426 ),
inference(forward_demodulation,[],[f8803,f1082]) ).
fof(f1082,plain,
( e22 = h2(e10)
| ~ spl44_48 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f8803,plain,
( op2(e20,e20) = h2(e10)
| ~ spl44_59
| ~ spl44_131
| ~ spl44_262
| ~ spl44_393
| ~ spl44_426 ),
inference(forward_demodulation,[],[f6406,f1474]) ).
fof(f1474,plain,
( e10 = op1(e10,e10)
| ~ spl44_131 ),
inference(avatar_component_clause,[],[f1472]) ).
fof(f6406,plain,
( op2(e20,e20) = h2(op1(e10,e10))
| ~ spl44_59
| ~ spl44_262
| ~ spl44_393
| ~ spl44_426 ),
inference(forward_demodulation,[],[f5612,f6379]) ).
fof(f5612,plain,
( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
| ~ spl44_393 ),
inference(avatar_component_clause,[],[f5611]) ).
fof(f8656,plain,
( spl44_248
| spl44_1
| spl44_4
| ~ spl44_48
| ~ spl44_287
| ~ spl44_290 ),
inference(avatar_split_clause,[],[f8635,f2627,f2583,f1081,f868,f853,f2086]) ).
fof(f2086,plain,
( spl44_248
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_248])]) ).
fof(f853,plain,
( spl44_1
<=> e20 = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_1])]) ).
fof(f2583,plain,
( spl44_287
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_287])]) ).
fof(f2627,plain,
( spl44_290
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_290])]) ).
fof(f8635,plain,
( e21 = e22
| e20 = e21
| e21 = op2(e21,e23)
| ~ spl44_48
| ~ spl44_287
| ~ spl44_290 ),
inference(duplicate_literal_removal,[],[f8634]) ).
fof(f8634,plain,
( e21 = e22
| e21 = e22
| e20 = e21
| e21 = op2(e21,e23)
| ~ spl44_48
| ~ spl44_287
| ~ spl44_290 ),
inference(forward_demodulation,[],[f2968,f1082]) ).
fof(f2968,plain,
( e21 = e22
| e20 = e21
| e21 = h2(e10)
| e21 = op2(e21,e23)
| ~ spl44_287
| ~ spl44_290 ),
inference(forward_demodulation,[],[f2967,f2585]) ).
fof(f2585,plain,
( e22 = op2(e21,e20)
| ~ spl44_287 ),
inference(avatar_component_clause,[],[f2583]) ).
fof(f2967,plain,
( e20 = e21
| e21 = h2(e10)
| e21 = op2(e21,e23)
| e21 = op2(e21,e20)
| ~ spl44_290 ),
inference(forward_demodulation,[],[f723,f2629]) ).
fof(f2629,plain,
( e20 = op2(e21,e22)
| ~ spl44_290 ),
inference(avatar_component_clause,[],[f2627]) ).
fof(f723,plain,
( e21 = h2(e10)
| e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e20) ),
inference(forward_demodulation,[],[f332,f213]) ).
fof(f213,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( op2(op2(e21,e21),e21) = h2(e12)
& h2(e11) = op2(op2(op2(e21,e21),e21),e21)
& op2(e21,e21) = h2(e10)
& e21 = h2(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f332,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) )
& ( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) )
& ( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) )
& ( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) )
& ( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) )
& ( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) )
& ( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) )
& ( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) )
& ( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) )
& ( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) )
& ( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) )
& ( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) )
& ( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) )
& ( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) )
& ( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) )
& ( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) )
& ( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) )
& ( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) )
& ( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) )
& ( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) )
& ( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 )
& ( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 )
& ( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 )
& ( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 )
& ( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 )
& ( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) )
& ( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f8639,plain,
( ~ spl44_290
| ~ spl44_29
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| ~ spl44_303
| spl44_436 ),
inference(avatar_split_clause,[],[f8347,f5979,f4007,f2583,f2036,f1117,f993,f2627]) ).
fof(f1117,plain,
( spl44_56
<=> e21 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_56])]) ).
fof(f4007,plain,
( spl44_303
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_303])]) ).
fof(f5979,plain,
( spl44_436
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_436])]) ).
fof(f8347,plain,
( e20 != op2(e21,e22)
| ~ spl44_29
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| ~ spl44_303
| spl44_436 ),
inference(forward_demodulation,[],[f8346,f995]) ).
fof(f8346,plain,
( op2(e21,e22) != h1(e13)
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| ~ spl44_303
| spl44_436 ),
inference(forward_demodulation,[],[f8345,f4009]) ).
fof(f4009,plain,
( e13 = op1(e10,e12)
| ~ spl44_303 ),
inference(avatar_component_clause,[],[f4007]) ).
fof(f8345,plain,
( op2(e21,e22) != h1(op1(e10,e12))
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| spl44_436 ),
inference(forward_demodulation,[],[f8344,f1118]) ).
fof(f1118,plain,
( e21 = h1(e10)
| ~ spl44_56 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f8344,plain,
( h1(op1(e10,e12)) != op2(h1(e10),e22)
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| spl44_436 ),
inference(forward_demodulation,[],[f5981,f2602]) ).
fof(f2602,plain,
( e22 = h1(e12)
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287 ),
inference(forward_demodulation,[],[f2601,f2585]) ).
fof(f2601,plain,
( op2(e21,e20) = h1(e12)
| ~ spl44_56
| ~ spl44_239 ),
inference(superposition,[],[f2038,f1118]) ).
fof(f5981,plain,
( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| spl44_436 ),
inference(avatar_component_clause,[],[f5979]) ).
fof(f8633,plain,
( spl44_290
| spl44_136
| spl44_2
| spl44_3
| ~ spl44_79
| ~ spl44_278
| ~ spl44_293 ),
inference(avatar_split_clause,[],[f8471,f3179,f2336,f1231,f863,f858,f1500,f2627]) ).
fof(f1500,plain,
( spl44_136
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_136])]) ).
fof(f863,plain,
( spl44_3
<=> e20 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_3])]) ).
fof(f1231,plain,
( spl44_79
<=> op2(e22,e22) = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_79])]) ).
fof(f2336,plain,
( spl44_278
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_278])]) ).
fof(f3179,plain,
( spl44_293
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_293])]) ).
fof(f8471,plain,
( e20 = e23
| e20 = e22
| e20 = op2(e23,e22)
| e20 = op2(e21,e22)
| ~ spl44_79
| ~ spl44_278
| ~ spl44_293 ),
inference(forward_demodulation,[],[f3464,f2338]) ).
fof(f2338,plain,
( e23 = op2(e20,e22)
| ~ spl44_278 ),
inference(avatar_component_clause,[],[f2336]) ).
fof(f3464,plain,
( e20 = e22
| e20 = op2(e23,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22)
| ~ spl44_79
| ~ spl44_293 ),
inference(forward_demodulation,[],[f716,f3186]) ).
fof(f3186,plain,
( e22 = h3(e10)
| ~ spl44_79
| ~ spl44_293 ),
inference(superposition,[],[f1233,f3181]) ).
fof(f3181,plain,
( e22 = op2(e22,e22)
| ~ spl44_293 ),
inference(avatar_component_clause,[],[f3179]) ).
fof(f1233,plain,
( op2(e22,e22) = h3(e10)
| ~ spl44_79 ),
inference(avatar_component_clause,[],[f1231]) ).
fof(f716,plain,
( e20 = h3(e10)
| e20 = op2(e23,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) ),
inference(forward_demodulation,[],[f339,f209]) ).
fof(f209,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( op2(op2(e22,e22),e22) = h3(e12)
& h3(e11) = op2(op2(op2(e22,e22),e22),e22)
& op2(e22,e22) = h3(e10)
& e22 = h3(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f339,plain,
( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f8601,plain,
( spl44_48
| spl44_6
| spl44_4
| spl44_2
| ~ spl44_85
| ~ spl44_284
| ~ spl44_289 ),
inference(avatar_split_clause,[],[f8512,f2618,f2448,f1264,f858,f868,f878,f1081]) ).
fof(f878,plain,
( spl44_6
<=> e22 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_6])]) ).
fof(f1264,plain,
( spl44_85
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_85])]) ).
fof(f2448,plain,
( spl44_284
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_284])]) ).
fof(f2618,plain,
( spl44_289
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_289])]) ).
fof(f8512,plain,
( e20 = e22
| e21 = e22
| e22 = e23
| e22 = h2(e10)
| ~ spl44_85
| ~ spl44_284
| ~ spl44_289 ),
inference(forward_demodulation,[],[f8511,f2620]) ).
fof(f2620,plain,
( e20 = op2(e20,e21)
| ~ spl44_289 ),
inference(avatar_component_clause,[],[f2618]) ).
fof(f8511,plain,
( e21 = e22
| e22 = e23
| e22 = h2(e10)
| e22 = op2(e20,e21)
| ~ spl44_85
| ~ spl44_284 ),
inference(forward_demodulation,[],[f3734,f1266]) ).
fof(f1266,plain,
( e21 = op2(e23,e21)
| ~ spl44_85 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f3734,plain,
( e22 = e23
| e22 = h2(e10)
| e22 = op2(e23,e21)
| e22 = op2(e20,e21)
| ~ spl44_284 ),
inference(forward_demodulation,[],[f720,f2450]) ).
fof(f2450,plain,
( e23 = op2(e22,e21)
| ~ spl44_284 ),
inference(avatar_component_clause,[],[f2448]) ).
fof(f720,plain,
( e22 = h2(e10)
| e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e20,e21) ),
inference(forward_demodulation,[],[f335,f213]) ).
fof(f335,plain,
( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f8584,plain,
( ~ spl44_575
| ~ spl44_56
| ~ spl44_239
| ~ spl44_274
| ~ spl44_287
| spl44_448 ),
inference(avatar_split_clause,[],[f8365,f6027,f2583,f2286,f2036,f1117,f8581]) ).
fof(f8581,plain,
( spl44_575
<=> op2(e23,e22) = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_575])]) ).
fof(f2286,plain,
( spl44_274
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_274])]) ).
fof(f6027,plain,
( spl44_448
<=> h1(op1(e13,e12)) = op2(e23,h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_448])]) ).
fof(f8365,plain,
( op2(e23,e22) != h1(e11)
| ~ spl44_56
| ~ spl44_239
| ~ spl44_274
| ~ spl44_287
| spl44_448 ),
inference(forward_demodulation,[],[f8257,f2602]) ).
fof(f8257,plain,
( h1(e11) != op2(e23,h1(e12))
| ~ spl44_274
| spl44_448 ),
inference(forward_demodulation,[],[f6029,f2288]) ).
fof(f2288,plain,
( e11 = op1(e13,e12)
| ~ spl44_274 ),
inference(avatar_component_clause,[],[f2286]) ).
fof(f6029,plain,
( h1(op1(e13,e12)) != op2(e23,h1(e12))
| spl44_448 ),
inference(avatar_component_clause,[],[f6027]) ).
fof(f8578,plain,
( ~ spl44_574
| ~ spl44_56
| ~ spl44_263
| spl44_465 ),
inference(avatar_split_clause,[],[f7984,f6258,f2162,f1117,f8575]) ).
fof(f8575,plain,
( spl44_574
<=> op2(e23,e21) = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_574])]) ).
fof(f6258,plain,
( spl44_465
<=> h1(op1(e11,e10)) = op2(e23,h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_465])]) ).
fof(f7984,plain,
( op2(e23,e21) != h1(e11)
| ~ spl44_56
| ~ spl44_263
| spl44_465 ),
inference(forward_demodulation,[],[f7843,f1118]) ).
fof(f7843,plain,
( h1(e11) != op2(e23,h1(e10))
| ~ spl44_263
| spl44_465 ),
inference(forward_demodulation,[],[f6260,f2164]) ).
fof(f6260,plain,
( h1(op1(e11,e10)) != op2(e23,h1(e10))
| spl44_465 ),
inference(avatar_component_clause,[],[f6258]) ).
fof(f8573,plain,
( ~ spl44_573
| ~ spl44_85
| spl44_572 ),
inference(avatar_split_clause,[],[f8568,f8564,f1264,f8570]) ).
fof(f8570,plain,
( spl44_573
<=> e21 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_573])]) ).
fof(f8564,plain,
( spl44_572
<=> op2(e23,e21) = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_572])]) ).
fof(f8568,plain,
( e21 != h2(e11)
| ~ spl44_85
| spl44_572 ),
inference(forward_demodulation,[],[f8566,f1266]) ).
fof(f8566,plain,
( op2(e23,e21) != h2(e11)
| spl44_572 ),
inference(avatar_component_clause,[],[f8564]) ).
fof(f8567,plain,
( ~ spl44_572
| ~ spl44_31
| ~ spl44_61
| spl44_418 ),
inference(avatar_split_clause,[],[f5850,f5807,f1141,f1003,f8564]) ).
fof(f5807,plain,
( spl44_418
<=> h2(op1(e12,e13)) = op2(e23,h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_418])]) ).
fof(f5850,plain,
( op2(e23,e21) != h2(e11)
| ~ spl44_31
| ~ spl44_61
| spl44_418 ),
inference(forward_demodulation,[],[f5849,f1143]) ).
fof(f5849,plain,
( op2(e23,e21) != h2(op1(e12,e13))
| ~ spl44_31
| spl44_418 ),
inference(forward_demodulation,[],[f5809,f1005]) ).
fof(f5809,plain,
( h2(op1(e12,e13)) != op2(e23,h2(e13))
| spl44_418 ),
inference(avatar_component_clause,[],[f5807]) ).
fof(f8559,plain,
( ~ spl44_83
| ~ spl44_30
| ~ spl44_61
| ~ spl44_79
| ~ spl44_234
| ~ spl44_270
| ~ spl44_293
| spl44_378 ),
inference(avatar_split_clause,[],[f8496,f5439,f3179,f2250,f2009,f1231,f1141,f998,f1255]) ).
fof(f1255,plain,
( spl44_83
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_83])]) ).
fof(f2250,plain,
( spl44_270
<=> e22 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_270])]) ).
fof(f8496,plain,
( e22 != op2(e23,e22)
| ~ spl44_30
| ~ spl44_61
| ~ spl44_79
| ~ spl44_234
| ~ spl44_270
| ~ spl44_293
| spl44_378 ),
inference(forward_demodulation,[],[f5476,f8482]) ).
fof(f8482,plain,
( e22 = h3(e11)
| ~ spl44_79
| ~ spl44_234
| ~ spl44_270
| ~ spl44_293 ),
inference(forward_demodulation,[],[f8481,f3186]) ).
fof(f8481,plain,
( h3(e10) = h3(e11)
| ~ spl44_79
| ~ spl44_234
| ~ spl44_270 ),
inference(forward_demodulation,[],[f3559,f1233]) ).
fof(f3559,plain,
( op2(e22,e22) = h3(e11)
| ~ spl44_234
| ~ spl44_270 ),
inference(superposition,[],[f2011,f2252]) ).
fof(f2252,plain,
( e22 = h3(e12)
| ~ spl44_270 ),
inference(avatar_component_clause,[],[f2250]) ).
fof(f5476,plain,
( op2(e23,e22) != h3(e11)
| ~ spl44_30
| ~ spl44_61
| spl44_378 ),
inference(forward_demodulation,[],[f5475,f1143]) ).
fof(f5475,plain,
( op2(e23,e22) != h3(op1(e12,e13))
| ~ spl44_30
| spl44_378 ),
inference(forward_demodulation,[],[f5441,f1000]) ).
fof(f5441,plain,
( h3(op1(e12,e13)) != op2(e23,h3(e13))
| spl44_378 ),
inference(avatar_component_clause,[],[f5439]) ).
fof(f8555,plain,
( ~ spl44_83
| ~ spl44_30
| ~ spl44_117
| spl44_387 ),
inference(avatar_split_clause,[],[f5591,f5546,f1409,f998,f1255]) ).
fof(f5591,plain,
( e22 != op2(e23,e22)
| ~ spl44_30
| ~ spl44_117
| spl44_387 ),
inference(forward_demodulation,[],[f5590,f1000]) ).
fof(f5590,plain,
( op2(e23,e22) != h3(e13)
| ~ spl44_30
| ~ spl44_117
| spl44_387 ),
inference(forward_demodulation,[],[f5589,f1411]) ).
fof(f5589,plain,
( op2(e23,e22) != h3(op1(e11,e13))
| ~ spl44_30
| spl44_387 ),
inference(forward_demodulation,[],[f5548,f1000]) ).
fof(f5548,plain,
( h3(op1(e11,e13)) != op2(e23,h3(e13))
| spl44_387 ),
inference(avatar_component_clause,[],[f5546]) ).
fof(f8551,plain,
( ~ spl44_83
| ~ spl44_56
| ~ spl44_119
| ~ spl44_239
| ~ spl44_287
| spl44_467 ),
inference(avatar_split_clause,[],[f8313,f6266,f2583,f2036,f1418,f1117,f1255]) ).
fof(f1418,plain,
( spl44_119
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_119])]) ).
fof(f6266,plain,
( spl44_467
<=> h1(op1(e11,e12)) = op2(e23,h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_467])]) ).
fof(f8313,plain,
( e22 != op2(e23,e22)
| ~ spl44_56
| ~ spl44_119
| ~ spl44_239
| ~ spl44_287
| spl44_467 ),
inference(forward_demodulation,[],[f8312,f2602]) ).
fof(f8312,plain,
( op2(e23,e22) != h1(e12)
| ~ spl44_56
| ~ spl44_119
| ~ spl44_239
| ~ spl44_287
| spl44_467 ),
inference(forward_demodulation,[],[f8311,f1420]) ).
fof(f1420,plain,
( e12 = op1(e11,e12)
| ~ spl44_119 ),
inference(avatar_component_clause,[],[f1418]) ).
fof(f8311,plain,
( op2(e23,e22) != h1(op1(e11,e12))
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| spl44_467 ),
inference(forward_demodulation,[],[f6268,f2602]) ).
fof(f6268,plain,
( h1(op1(e11,e12)) != op2(e23,h1(e12))
| spl44_467 ),
inference(avatar_component_clause,[],[f6266]) ).
fof(f8543,plain,
( ~ spl44_237
| ~ spl44_274
| spl44_351 ),
inference(avatar_split_clause,[],[f8542,f5152,f2286,f2025]) ).
fof(f5152,plain,
( spl44_351
<=> e21 = h4(op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_351])]) ).
fof(f8542,plain,
( e21 != h4(e11)
| ~ spl44_274
| spl44_351 ),
inference(forward_demodulation,[],[f5153,f2288]) ).
fof(f5153,plain,
( e21 != h4(op1(e13,e12))
| spl44_351 ),
inference(avatar_component_clause,[],[f5152]) ).
fof(f8538,plain,
( spl44_281
| ~ spl44_245
| ~ spl44_323
| ~ spl44_351 ),
inference(avatar_split_clause,[],[f8480,f5152,f4645,f2070,f2416]) ).
fof(f2070,plain,
( spl44_245
<=> e22 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_245])]) ).
fof(f4645,plain,
( spl44_323
<=> h4(op1(e13,e12)) = op2(e23,h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_323])]) ).
fof(f8480,plain,
( e21 = op2(e23,e22)
| ~ spl44_245
| ~ spl44_323
| ~ spl44_351 ),
inference(forward_demodulation,[],[f4712,f5154]) ).
fof(f5154,plain,
( e21 = h4(op1(e13,e12))
| ~ spl44_351 ),
inference(avatar_component_clause,[],[f5152]) ).
fof(f4712,plain,
( op2(e23,e22) = h4(op1(e13,e12))
| ~ spl44_245
| ~ spl44_323 ),
inference(forward_demodulation,[],[f4646,f2072]) ).
fof(f2072,plain,
( e22 = h4(e12)
| ~ spl44_245 ),
inference(avatar_component_clause,[],[f2070]) ).
fof(f4646,plain,
( h4(op1(e13,e12)) = op2(e23,h4(e12))
| ~ spl44_323 ),
inference(avatar_component_clause,[],[f4645]) ).
fof(f8536,plain,
( ~ spl44_272
| ~ spl44_56
| ~ spl44_239
| ~ spl44_268
| ~ spl44_287
| spl44_455 ),
inference(avatar_split_clause,[],[f8475,f6153,f2583,f2185,f2036,f1117,f2265]) ).
fof(f6153,plain,
( spl44_455
<=> h1(op1(e12,e10)) = op2(e23,h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_455])]) ).
fof(f8475,plain,
( e22 != op2(e23,e21)
| ~ spl44_56
| ~ spl44_239
| ~ spl44_268
| ~ spl44_287
| spl44_455 ),
inference(forward_demodulation,[],[f8208,f2602]) ).
fof(f8208,plain,
( op2(e23,e21) != h1(e12)
| ~ spl44_56
| ~ spl44_268
| spl44_455 ),
inference(forward_demodulation,[],[f7919,f1118]) ).
fof(f7919,plain,
( h1(e12) != op2(e23,h1(e10))
| ~ spl44_268
| spl44_455 ),
inference(forward_demodulation,[],[f6155,f2187]) ).
fof(f6155,plain,
( h1(op1(e12,e10)) != op2(e23,h1(e10))
| spl44_455 ),
inference(avatar_component_clause,[],[f6153]) ).
fof(f8532,plain,
( ~ spl44_85
| ~ spl44_31
| ~ spl44_117
| spl44_428 ),
inference(avatar_split_clause,[],[f5952,f5909,f1409,f1003,f1264]) ).
fof(f5952,plain,
( e21 != op2(e23,e21)
| ~ spl44_31
| ~ spl44_117
| spl44_428 ),
inference(forward_demodulation,[],[f5951,f1005]) ).
fof(f5951,plain,
( op2(e23,e21) != h2(e13)
| ~ spl44_31
| ~ spl44_117
| spl44_428 ),
inference(forward_demodulation,[],[f5950,f1411]) ).
fof(f5950,plain,
( op2(e23,e21) != h2(op1(e11,e13))
| ~ spl44_31
| spl44_428 ),
inference(forward_demodulation,[],[f5911,f1005]) ).
fof(f5911,plain,
( h2(op1(e11,e13)) != op2(e23,h2(e13))
| spl44_428 ),
inference(avatar_component_clause,[],[f5909]) ).
fof(f8525,plain,
( spl44_4
| ~ spl44_85
| ~ spl44_237
| ~ spl44_245
| ~ spl44_308
| ~ spl44_322 ),
inference(avatar_split_clause,[],[f8513,f4641,f4571,f2070,f2025,f1264,f868]) ).
fof(f4571,plain,
( spl44_308
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_308])]) ).
fof(f4641,plain,
( spl44_322
<=> h4(op1(e13,e11)) = op2(e23,h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_322])]) ).
fof(f8513,plain,
( e21 = e22
| ~ spl44_85
| ~ spl44_237
| ~ spl44_245
| ~ spl44_308
| ~ spl44_322 ),
inference(forward_demodulation,[],[f4718,f1266]) ).
fof(f4718,plain,
( e22 = op2(e23,e21)
| ~ spl44_237
| ~ spl44_245
| ~ spl44_308
| ~ spl44_322 ),
inference(forward_demodulation,[],[f4717,f2072]) ).
fof(f4717,plain,
( op2(e23,e21) = h4(e12)
| ~ spl44_237
| ~ spl44_308
| ~ spl44_322 ),
inference(forward_demodulation,[],[f4716,f4573]) ).
fof(f4573,plain,
( e12 = op1(e13,e11)
| ~ spl44_308 ),
inference(avatar_component_clause,[],[f4571]) ).
fof(f4716,plain,
( op2(e23,e21) = h4(op1(e13,e11))
| ~ spl44_237
| ~ spl44_322 ),
inference(forward_demodulation,[],[f4642,f2027]) ).
fof(f4642,plain,
( h4(op1(e13,e11)) = op2(e23,h4(e11))
| ~ spl44_322 ),
inference(avatar_component_clause,[],[f4641]) ).
fof(f8510,plain,
( spl44_272
| ~ spl44_32
| ~ spl44_237
| ~ spl44_245
| ~ spl44_308
| ~ spl44_335 ),
inference(avatar_split_clause,[],[f4880,f4812,f4571,f2070,f2025,f1008,f2265]) ).
fof(f1008,plain,
( spl44_32
<=> e23 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_32])]) ).
fof(f4812,plain,
( spl44_335
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_335])]) ).
fof(f4880,plain,
( e22 = op2(e23,e21)
| ~ spl44_32
| ~ spl44_237
| ~ spl44_245
| ~ spl44_308
| ~ spl44_335 ),
inference(forward_demodulation,[],[f4879,f2072]) ).
fof(f4879,plain,
( op2(e23,e21) = h4(e12)
| ~ spl44_32
| ~ spl44_237
| ~ spl44_308
| ~ spl44_335 ),
inference(forward_demodulation,[],[f4878,f4573]) ).
fof(f4878,plain,
( op2(e23,e21) = h4(op1(e13,e11))
| ~ spl44_32
| ~ spl44_237
| ~ spl44_335 ),
inference(forward_demodulation,[],[f4877,f1010]) ).
fof(f1010,plain,
( e23 = h4(e13)
| ~ spl44_32 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f4877,plain,
( h4(op1(e13,e11)) = op2(h4(e13),e21)
| ~ spl44_237
| ~ spl44_335 ),
inference(forward_demodulation,[],[f4813,f2027]) ).
fof(f4813,plain,
( h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
| ~ spl44_335 ),
inference(avatar_component_clause,[],[f4812]) ).
fof(f8500,plain,
( spl44_97
| ~ spl44_119
| ~ spl44_237
| ~ spl44_245
| ~ spl44_315 ),
inference(avatar_split_clause,[],[f4745,f4613,f2070,f2025,f1418,f1318]) ).
fof(f4613,plain,
( spl44_315
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_315])]) ).
fof(f4745,plain,
( e22 = op2(e21,e22)
| ~ spl44_119
| ~ spl44_237
| ~ spl44_245
| ~ spl44_315 ),
inference(forward_demodulation,[],[f4744,f2072]) ).
fof(f4744,plain,
( op2(e21,e22) = h4(e12)
| ~ spl44_119
| ~ spl44_237
| ~ spl44_245
| ~ spl44_315 ),
inference(forward_demodulation,[],[f4743,f1420]) ).
fof(f4743,plain,
( op2(e21,e22) = h4(op1(e11,e12))
| ~ spl44_237
| ~ spl44_245
| ~ spl44_315 ),
inference(forward_demodulation,[],[f4742,f2027]) ).
fof(f4742,plain,
( h4(op1(e11,e12)) = op2(h4(e11),e22)
| ~ spl44_245
| ~ spl44_315 ),
inference(forward_demodulation,[],[f4614,f2072]) ).
fof(f4614,plain,
( h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
| ~ spl44_315 ),
inference(avatar_component_clause,[],[f4613]) ).
fof(f8488,plain,
( spl44_4
| ~ spl44_56
| ~ spl44_83
| ~ spl44_239
| ~ spl44_287
| ~ spl44_561 ),
inference(avatar_split_clause,[],[f8487,f8353,f2583,f2036,f1255,f1117,f868]) ).
fof(f8353,plain,
( spl44_561
<=> e21 = op2(e23,h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_561])]) ).
fof(f8487,plain,
( e21 = e22
| ~ spl44_56
| ~ spl44_83
| ~ spl44_239
| ~ spl44_287
| ~ spl44_561 ),
inference(forward_demodulation,[],[f1257,f8373]) ).
fof(f8373,plain,
( e21 = op2(e23,e22)
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| ~ spl44_561 ),
inference(forward_demodulation,[],[f8354,f2602]) ).
fof(f8354,plain,
( e21 = op2(e23,h1(e12))
| ~ spl44_561 ),
inference(avatar_component_clause,[],[f8353]) ).
fof(f1257,plain,
( e22 = op2(e23,e22)
| ~ spl44_83 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f8468,plain,
( spl44_136
| spl44_2
| spl44_3
| ~ spl44_79
| ~ spl44_97
| ~ spl44_278
| ~ spl44_293 ),
inference(avatar_split_clause,[],[f7609,f3179,f2336,f1318,f1231,f863,f858,f1500]) ).
fof(f7609,plain,
( e20 = e23
| e20 = e22
| e20 = op2(e23,e22)
| ~ spl44_79
| ~ spl44_97
| ~ spl44_278
| ~ spl44_293 ),
inference(forward_demodulation,[],[f7608,f2338]) ).
fof(f7608,plain,
( e20 = e22
| e20 = op2(e23,e22)
| e20 = op2(e20,e22)
| ~ spl44_79
| ~ spl44_97
| ~ spl44_293 ),
inference(duplicate_literal_removal,[],[f7607]) ).
fof(f7607,plain,
( e20 = e22
| e20 = e22
| e20 = op2(e23,e22)
| e20 = op2(e20,e22)
| ~ spl44_79
| ~ spl44_97
| ~ spl44_293 ),
inference(forward_demodulation,[],[f3464,f1320]) ).
fof(f1320,plain,
( e22 = op2(e21,e22)
| ~ spl44_97 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f8454,plain,
( spl44_257
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| ~ spl44_571 ),
inference(avatar_split_clause,[],[f8453,f8449,f2583,f2036,f1117,f2129]) ).
fof(f2129,plain,
( spl44_257
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_257])]) ).
fof(f8449,plain,
( spl44_571
<=> h1(e12) = op2(h1(e12),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_571])]) ).
fof(f8453,plain,
( e22 = op2(e22,e21)
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| ~ spl44_571 ),
inference(forward_demodulation,[],[f8451,f2602]) ).
fof(f8451,plain,
( h1(e12) = op2(h1(e12),e21)
| ~ spl44_571 ),
inference(avatar_component_clause,[],[f8449]) ).
fof(f8452,plain,
( spl44_571
| ~ spl44_56
| ~ spl44_268
| ~ spl44_442 ),
inference(avatar_split_clause,[],[f8305,f6003,f2185,f1117,f8449]) ).
fof(f8305,plain,
( h1(e12) = op2(h1(e12),e21)
| ~ spl44_56
| ~ spl44_268
| ~ spl44_442 ),
inference(forward_demodulation,[],[f7961,f2187]) ).
fof(f7961,plain,
( h1(op1(e12,e10)) = op2(h1(e12),e21)
| ~ spl44_56
| ~ spl44_442 ),
inference(forward_demodulation,[],[f6004,f1118]) ).
fof(f8443,plain,
( spl44_570
| ~ spl44_56
| ~ spl44_267
| ~ spl44_444 ),
inference(avatar_split_clause,[],[f8265,f6011,f2181,f1117,f8440]) ).
fof(f8440,plain,
( spl44_570
<=> e21 = op2(h1(e12),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_570])]) ).
fof(f6011,plain,
( spl44_444
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_444])]) ).
fof(f8265,plain,
( e21 = op2(h1(e12),h1(e12))
| ~ spl44_56
| ~ spl44_267
| ~ spl44_444 ),
inference(forward_demodulation,[],[f8264,f1118]) ).
fof(f8264,plain,
( h1(e10) = op2(h1(e12),h1(e12))
| ~ spl44_267
| ~ spl44_444 ),
inference(forward_demodulation,[],[f6012,f2182]) ).
fof(f6012,plain,
( h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
| ~ spl44_444 ),
inference(avatar_component_clause,[],[f6011]) ).
fof(f8438,plain,
( ~ spl44_569
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| spl44_568 ),
inference(avatar_split_clause,[],[f8430,f8426,f2583,f2036,f1117,f8435]) ).
fof(f8435,plain,
( spl44_569
<=> e20 = op2(e22,h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_569])]) ).
fof(f8426,plain,
( spl44_568
<=> e20 = op2(h1(e12),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_568])]) ).
fof(f8430,plain,
( e20 != op2(e22,h1(e11))
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| spl44_568 ),
inference(forward_demodulation,[],[f8427,f2602]) ).
fof(f8427,plain,
( e20 != op2(h1(e12),h1(e11))
| spl44_568 ),
inference(avatar_component_clause,[],[f8426]) ).
fof(f8429,plain,
( spl44_568
| ~ spl44_29
| ~ spl44_276
| ~ spl44_443 ),
inference(avatar_split_clause,[],[f8195,f6007,f2305,f993,f8426]) ).
fof(f6007,plain,
( spl44_443
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_443])]) ).
fof(f8195,plain,
( e20 = op2(h1(e12),h1(e11))
| ~ spl44_29
| ~ spl44_276
| ~ spl44_443 ),
inference(forward_demodulation,[],[f8194,f995]) ).
fof(f8194,plain,
( h1(e13) = op2(h1(e12),h1(e11))
| ~ spl44_276
| ~ spl44_443 ),
inference(forward_demodulation,[],[f6008,f2307]) ).
fof(f6008,plain,
( h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
| ~ spl44_443 ),
inference(avatar_component_clause,[],[f6007]) ).
fof(f8424,plain,
( ~ spl44_556
| ~ spl44_56
| ~ spl44_263
| spl44_438 ),
inference(avatar_split_clause,[],[f8193,f5987,f2162,f1117,f8137]) ).
fof(f8137,plain,
( spl44_556
<=> h1(e11) = op2(h1(e11),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_556])]) ).
fof(f8193,plain,
( h1(e11) != op2(h1(e11),e21)
| ~ spl44_56
| ~ spl44_263
| spl44_438 ),
inference(forward_demodulation,[],[f8142,f2164]) ).
fof(f8142,plain,
( h1(op1(e11,e10)) != op2(h1(e11),e21)
| ~ spl44_56
| spl44_438 ),
inference(forward_demodulation,[],[f5989,f1118]) ).
fof(f5989,plain,
( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| spl44_438 ),
inference(avatar_component_clause,[],[f5987]) ).
fof(f8423,plain,
( ~ spl44_567
| ~ spl44_56
| ~ spl44_129
| spl44_435 ),
inference(avatar_split_clause,[],[f8191,f5975,f1463,f1117,f8420]) ).
fof(f8420,plain,
( spl44_567
<=> h1(e11) = op2(e21,h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_567])]) ).
fof(f1463,plain,
( spl44_129
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_129])]) ).
fof(f8191,plain,
( h1(e11) != op2(e21,h1(e11))
| ~ spl44_56
| ~ spl44_129
| spl44_435 ),
inference(forward_demodulation,[],[f8190,f1465]) ).
fof(f1465,plain,
( e11 = op1(e10,e11)
| ~ spl44_129 ),
inference(avatar_component_clause,[],[f1463]) ).
fof(f8190,plain,
( h1(op1(e10,e11)) != op2(e21,h1(e11))
| ~ spl44_56
| spl44_435 ),
inference(forward_demodulation,[],[f5977,f1118]) ).
fof(f5977,plain,
( h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| spl44_435 ),
inference(avatar_component_clause,[],[f5975]) ).
fof(f8418,plain,
( ~ spl44_566
| ~ spl44_56
| ~ spl44_262
| spl44_439 ),
inference(avatar_split_clause,[],[f8188,f5991,f2158,f1117,f8415]) ).
fof(f8415,plain,
( spl44_566
<=> e21 = op2(h1(e11),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_566])]) ).
fof(f5991,plain,
( spl44_439
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_439])]) ).
fof(f8188,plain,
( e21 != op2(h1(e11),h1(e11))
| ~ spl44_56
| ~ spl44_262
| spl44_439 ),
inference(forward_demodulation,[],[f8187,f1118]) ).
fof(f8187,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| ~ spl44_262
| spl44_439 ),
inference(forward_demodulation,[],[f5993,f2159]) ).
fof(f5993,plain,
( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| spl44_439 ),
inference(avatar_component_clause,[],[f5991]) ).
fof(f8408,plain,
( spl44_565
| ~ spl44_56
| ~ spl44_119
| ~ spl44_239
| ~ spl44_287
| ~ spl44_440 ),
inference(avatar_split_clause,[],[f8385,f5995,f2583,f2036,f1418,f1117,f8405]) ).
fof(f8405,plain,
( spl44_565
<=> e22 = op2(h1(e11),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_565])]) ).
fof(f8385,plain,
( e22 = op2(h1(e11),e22)
| ~ spl44_56
| ~ spl44_119
| ~ spl44_239
| ~ spl44_287
| ~ spl44_440 ),
inference(forward_demodulation,[],[f8384,f2602]) ).
fof(f8384,plain,
( h1(e12) = op2(h1(e11),e22)
| ~ spl44_56
| ~ spl44_119
| ~ spl44_239
| ~ spl44_287
| ~ spl44_440 ),
inference(forward_demodulation,[],[f8340,f1420]) ).
fof(f8340,plain,
( h1(op1(e11,e12)) = op2(h1(e11),e22)
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| ~ spl44_440 ),
inference(forward_demodulation,[],[f5996,f2602]) ).
fof(f5996,plain,
( h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
| ~ spl44_440 ),
inference(avatar_component_clause,[],[f5995]) ).
fof(f8403,plain,
( ~ spl44_564
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| ~ spl44_308
| spl44_447 ),
inference(avatar_split_clause,[],[f8378,f6023,f4571,f2583,f2036,f1117,f8400]) ).
fof(f8400,plain,
( spl44_564
<=> e22 = op2(e23,h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_564])]) ).
fof(f6023,plain,
( spl44_447
<=> h1(op1(e13,e11)) = op2(e23,h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_447])]) ).
fof(f8378,plain,
( e22 != op2(e23,h1(e11))
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| ~ spl44_308
| spl44_447 ),
inference(forward_demodulation,[],[f7766,f2602]) ).
fof(f7766,plain,
( h1(e12) != op2(e23,h1(e11))
| ~ spl44_308
| spl44_447 ),
inference(forward_demodulation,[],[f6025,f4573]) ).
fof(f6025,plain,
( h1(op1(e13,e11)) != op2(e23,h1(e11))
| spl44_447 ),
inference(avatar_component_clause,[],[f6023]) ).
fof(f8398,plain,
( ~ spl44_563
| ~ spl44_56
| ~ spl44_119
| ~ spl44_239
| ~ spl44_287
| spl44_453 ),
inference(avatar_split_clause,[],[f8377,f6145,f2583,f2036,f1418,f1117,f8395]) ).
fof(f8395,plain,
( spl44_563
<=> e22 = op2(h1(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_563])]) ).
fof(f6145,plain,
( spl44_453
<=> h1(op1(e11,e12)) = op2(h1(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_453])]) ).
fof(f8377,plain,
( e22 != op2(h1(e11),e23)
| ~ spl44_56
| ~ spl44_119
| ~ spl44_239
| ~ spl44_287
| spl44_453 ),
inference(forward_demodulation,[],[f7784,f2602]) ).
fof(f7784,plain,
( h1(e12) != op2(h1(e11),e23)
| ~ spl44_119
| spl44_453 ),
inference(forward_demodulation,[],[f6147,f1420]) ).
fof(f6147,plain,
( h1(op1(e11,e12)) != op2(h1(e11),e23)
| spl44_453 ),
inference(avatar_component_clause,[],[f6145]) ).
fof(f8393,plain,
( ~ spl44_559
| ~ spl44_56
| spl44_537 ),
inference(avatar_split_clause,[],[f8376,f7975,f1117,f8296]) ).
fof(f8296,plain,
( spl44_559
<=> e21 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_559])]) ).
fof(f7975,plain,
( spl44_537
<=> h1(e10) = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_537])]) ).
fof(f8376,plain,
( e21 != h1(e11)
| ~ spl44_56
| spl44_537 ),
inference(forward_demodulation,[],[f7976,f1118]) ).
fof(f7976,plain,
( h1(e10) != h1(e11)
| spl44_537 ),
inference(avatar_component_clause,[],[f7975]) ).
fof(f8392,plain,
( ~ spl44_562
| ~ spl44_56
| ~ spl44_263
| ~ spl44_272
| spl44_465 ),
inference(avatar_split_clause,[],[f7985,f6258,f2265,f2162,f1117,f8389]) ).
fof(f8389,plain,
( spl44_562
<=> e22 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_562])]) ).
fof(f7985,plain,
( e22 != h1(e11)
| ~ spl44_56
| ~ spl44_263
| ~ spl44_272
| spl44_465 ),
inference(forward_demodulation,[],[f7984,f2267]) ).
fof(f8375,plain,
( ~ spl44_56
| spl44_537
| ~ spl44_559 ),
inference(avatar_split_clause,[],[f8374,f8296,f7975,f1117]) ).
fof(f8374,plain,
( e21 != h1(e10)
| spl44_537
| ~ spl44_559 ),
inference(forward_demodulation,[],[f7976,f8298]) ).
fof(f8298,plain,
( e21 = h1(e11)
| ~ spl44_559 ),
inference(avatar_component_clause,[],[f8296]) ).
fof(f8358,plain,
( ~ spl44_281
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| spl44_561 ),
inference(avatar_split_clause,[],[f8357,f8353,f2583,f2036,f1117,f2416]) ).
fof(f8357,plain,
( e21 != op2(e23,e22)
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| spl44_561 ),
inference(forward_demodulation,[],[f8355,f2602]) ).
fof(f8355,plain,
( e21 != op2(e23,h1(e12))
| spl44_561 ),
inference(avatar_component_clause,[],[f8353]) ).
fof(f8356,plain,
( ~ spl44_561
| ~ spl44_56
| ~ spl44_274
| spl44_448
| ~ spl44_537 ),
inference(avatar_split_clause,[],[f8258,f7975,f6027,f2286,f1117,f8353]) ).
fof(f8258,plain,
( e21 != op2(e23,h1(e12))
| ~ spl44_56
| ~ spl44_274
| spl44_448
| ~ spl44_537 ),
inference(forward_demodulation,[],[f8257,f8198]) ).
fof(f8198,plain,
( e21 = h1(e11)
| ~ spl44_56
| ~ spl44_537 ),
inference(forward_demodulation,[],[f7977,f1118]) ).
fof(f7977,plain,
( h1(e10) = h1(e11)
| ~ spl44_537 ),
inference(avatar_component_clause,[],[f7975]) ).
fof(f8336,plain,
( ~ spl44_97
| ~ spl44_56
| ~ spl44_119
| ~ spl44_239
| ~ spl44_287
| spl44_440
| ~ spl44_559 ),
inference(avatar_split_clause,[],[f8322,f8296,f5995,f2583,f2036,f1418,f1117,f1318]) ).
fof(f8322,plain,
( e22 != op2(e21,e22)
| ~ spl44_56
| ~ spl44_119
| ~ spl44_239
| ~ spl44_287
| spl44_440
| ~ spl44_559 ),
inference(forward_demodulation,[],[f8321,f2602]) ).
fof(f8321,plain,
( op2(e21,e22) != h1(e12)
| ~ spl44_56
| ~ spl44_119
| ~ spl44_239
| ~ spl44_287
| spl44_440
| ~ spl44_559 ),
inference(forward_demodulation,[],[f8320,f1420]) ).
fof(f8320,plain,
( op2(e21,e22) != h1(op1(e11,e12))
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| spl44_440
| ~ spl44_559 ),
inference(forward_demodulation,[],[f8319,f8298]) ).
fof(f8319,plain,
( h1(op1(e11,e12)) != op2(h1(e11),e22)
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| spl44_440 ),
inference(forward_demodulation,[],[f5997,f2602]) ).
fof(f8332,plain,
( ~ spl44_133
| ~ spl44_29
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| ~ spl44_308
| spl44_471 ),
inference(avatar_split_clause,[],[f8318,f6282,f4571,f2583,f2036,f1117,f993,f1483]) ).
fof(f8318,plain,
( e22 != op2(e20,e23)
| ~ spl44_29
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| ~ spl44_308
| spl44_471 ),
inference(forward_demodulation,[],[f6300,f2602]) ).
fof(f6300,plain,
( op2(e20,e23) != h1(e12)
| ~ spl44_29
| ~ spl44_308
| spl44_471 ),
inference(forward_demodulation,[],[f6299,f4573]) ).
fof(f6299,plain,
( op2(e20,e23) != h1(op1(e13,e11))
| ~ spl44_29
| spl44_471 ),
inference(forward_demodulation,[],[f6284,f995]) ).
fof(f8331,plain,
( ~ spl44_253
| ~ spl44_40
| ~ spl44_237
| ~ spl44_263
| spl44_313 ),
inference(avatar_split_clause,[],[f6730,f4605,f2162,f2025,f1045,f2109]) ).
fof(f6730,plain,
( e21 != op2(e21,e20)
| ~ spl44_40
| ~ spl44_237
| ~ spl44_263
| spl44_313 ),
inference(forward_demodulation,[],[f6729,f2027]) ).
fof(f6729,plain,
( op2(e21,e20) != h4(e11)
| ~ spl44_40
| ~ spl44_237
| ~ spl44_263
| spl44_313 ),
inference(forward_demodulation,[],[f6728,f2164]) ).
fof(f6728,plain,
( op2(e21,e20) != h4(op1(e11,e10))
| ~ spl44_40
| ~ spl44_237
| spl44_313 ),
inference(forward_demodulation,[],[f6727,f2027]) ).
fof(f6727,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e20)
| ~ spl44_40
| spl44_313 ),
inference(forward_demodulation,[],[f4607,f1046]) ).
fof(f4607,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| spl44_313 ),
inference(avatar_component_clause,[],[f4605]) ).
fof(f8330,plain,
( ~ spl44_560
| ~ spl44_56
| ~ spl44_268
| ~ spl44_272
| spl44_455 ),
inference(avatar_split_clause,[],[f8307,f6153,f2265,f2185,f1117,f8327]) ).
fof(f8327,plain,
( spl44_560
<=> e22 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_560])]) ).
fof(f8307,plain,
( e22 != h1(e12)
| ~ spl44_56
| ~ spl44_268
| ~ spl44_272
| spl44_455 ),
inference(forward_demodulation,[],[f8208,f2267]) ).
fof(f8324,plain,
( ~ spl44_463
| ~ spl44_56
| ~ spl44_95
| ~ spl44_165
| spl44_437 ),
inference(avatar_split_clause,[],[f8306,f5983,f1653,f1309,f1117,f6185]) ).
fof(f6185,plain,
( spl44_463
<=> e23 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_463])]) ).
fof(f1309,plain,
( spl44_95
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_95])]) ).
fof(f1653,plain,
( spl44_165
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_165])]) ).
fof(f5983,plain,
( spl44_437
<=> h1(op1(e10,e13)) = op2(h1(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_437])]) ).
fof(f8306,plain,
( e23 != h1(e12)
| ~ spl44_56
| ~ spl44_95
| ~ spl44_165
| spl44_437 ),
inference(forward_demodulation,[],[f7959,f1311]) ).
fof(f1311,plain,
( e23 = op2(e21,e23)
| ~ spl44_95 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f7959,plain,
( op2(e21,e23) != h1(e12)
| ~ spl44_56
| ~ spl44_165
| spl44_437 ),
inference(forward_demodulation,[],[f7958,f1655]) ).
fof(f1655,plain,
( e12 = op1(e10,e13)
| ~ spl44_165 ),
inference(avatar_component_clause,[],[f1653]) ).
fof(f7958,plain,
( op2(e21,e23) != h1(op1(e10,e13))
| ~ spl44_56
| spl44_437 ),
inference(forward_demodulation,[],[f5985,f1118]) ).
fof(f5985,plain,
( h1(op1(e10,e13)) != op2(h1(e10),e23)
| spl44_437 ),
inference(avatar_component_clause,[],[f5983]) ).
fof(f8300,plain,
( spl44_297
| ~ spl44_29
| ~ spl44_56
| ~ spl44_119
| ~ spl44_303
| ~ spl44_436
| ~ spl44_440
| ~ spl44_537 ),
inference(avatar_split_clause,[],[f8268,f7975,f5995,f5979,f4007,f1418,f1117,f993,f3659]) ).
fof(f8268,plain,
( e20 = h1(e12)
| ~ spl44_29
| ~ spl44_56
| ~ spl44_119
| ~ spl44_303
| ~ spl44_436
| ~ spl44_440
| ~ spl44_537 ),
inference(forward_demodulation,[],[f8267,f1420]) ).
fof(f8267,plain,
( e20 = h1(op1(e11,e12))
| ~ spl44_29
| ~ spl44_56
| ~ spl44_303
| ~ spl44_436
| ~ spl44_440
| ~ spl44_537 ),
inference(forward_demodulation,[],[f8266,f8263]) ).
fof(f8263,plain,
( e20 = op2(e21,h1(e12))
| ~ spl44_29
| ~ spl44_56
| ~ spl44_303
| ~ spl44_436 ),
inference(forward_demodulation,[],[f8262,f995]) ).
fof(f8262,plain,
( h1(e13) = op2(e21,h1(e12))
| ~ spl44_56
| ~ spl44_303
| ~ spl44_436 ),
inference(forward_demodulation,[],[f8261,f4009]) ).
fof(f8261,plain,
( h1(op1(e10,e12)) = op2(e21,h1(e12))
| ~ spl44_56
| ~ spl44_436 ),
inference(forward_demodulation,[],[f5980,f1118]) ).
fof(f5980,plain,
( h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
| ~ spl44_436 ),
inference(avatar_component_clause,[],[f5979]) ).
fof(f8266,plain,
( h1(op1(e11,e12)) = op2(e21,h1(e12))
| ~ spl44_56
| ~ spl44_440
| ~ spl44_537 ),
inference(forward_demodulation,[],[f5996,f8198]) ).
fof(f8299,plain,
( spl44_559
| ~ spl44_56
| ~ spl44_537 ),
inference(avatar_split_clause,[],[f8198,f7975,f1117,f8296]) ).
fof(f8256,plain,
( spl44_2
| ~ spl44_29
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| ~ spl44_308
| ~ spl44_460
| ~ spl44_547 ),
inference(avatar_split_clause,[],[f8228,f8066,f6173,f4571,f2583,f2036,f1117,f993,f858]) ).
fof(f8228,plain,
( e20 = e22
| ~ spl44_29
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| ~ spl44_308
| ~ spl44_460
| ~ spl44_547 ),
inference(forward_demodulation,[],[f2602,f8197]) ).
fof(f8197,plain,
( e20 = h1(e12)
| ~ spl44_29
| ~ spl44_308
| ~ spl44_460
| ~ spl44_547 ),
inference(forward_demodulation,[],[f8196,f4573]) ).
fof(f8196,plain,
( e20 = h1(op1(e13,e11))
| ~ spl44_29
| ~ spl44_460
| ~ spl44_547 ),
inference(forward_demodulation,[],[f7788,f8068]) ).
fof(f7788,plain,
( h1(op1(e13,e11)) = op2(e20,h1(e11))
| ~ spl44_29
| ~ spl44_460 ),
inference(forward_demodulation,[],[f6174,f995]) ).
fof(f8186,plain,
( spl44_325
| ~ spl44_56
| ~ spl44_93
| ~ spl44_239
| ~ spl44_287
| ~ spl44_297 ),
inference(avatar_split_clause,[],[f7622,f3659,f2583,f2036,f1300,f1117,f4770]) ).
fof(f1300,plain,
( spl44_93
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_93])]) ).
fof(f7622,plain,
( e20 = op2(e20,e20)
| ~ spl44_56
| ~ spl44_93
| ~ spl44_239
| ~ spl44_287
| ~ spl44_297 ),
inference(forward_demodulation,[],[f1302,f7620]) ).
fof(f7620,plain,
( e20 = e22
| ~ spl44_56
| ~ spl44_239
| ~ spl44_287
| ~ spl44_297 ),
inference(forward_demodulation,[],[f2602,f3661]) ).
fof(f1302,plain,
( e20 = op2(e22,e20)
| ~ spl44_93 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f8174,plain,
( ~ spl44_296
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_297
| spl44_558 ),
inference(avatar_split_clause,[],[f8170,f8161,f3659,f2004,f1226,f1117,f3545]) ).
fof(f3545,plain,
( spl44_296
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_296])]) ).
fof(f8161,plain,
( spl44_558
<=> h1(e10) = op2(h1(e11),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_558])]) ).
fof(f8170,plain,
( e21 != op2(e21,e21)
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_297
| spl44_558 ),
inference(forward_demodulation,[],[f8169,f1118]) ).
fof(f8169,plain,
( op2(e21,e21) != h1(e10)
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_297
| spl44_558 ),
inference(forward_demodulation,[],[f8162,f7989]) ).
fof(f7989,plain,
( e21 = h1(e11)
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_297 ),
inference(forward_demodulation,[],[f4135,f1118]) ).
fof(f4135,plain,
( h1(e10) = h1(e11)
| ~ spl44_78
| ~ spl44_233
| ~ spl44_297 ),
inference(forward_demodulation,[],[f4134,f1228]) ).
fof(f4134,plain,
( op2(e20,e20) = h1(e11)
| ~ spl44_233
| ~ spl44_297 ),
inference(superposition,[],[f2006,f3661]) ).
fof(f8162,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| spl44_558 ),
inference(avatar_component_clause,[],[f8161]) ).
fof(f8168,plain,
( ~ spl44_296
| ~ spl44_56
| ~ spl44_78
| ~ spl44_129
| ~ spl44_233
| ~ spl44_297
| spl44_435 ),
inference(avatar_split_clause,[],[f8159,f5975,f3659,f2004,f1463,f1226,f1117,f3545]) ).
fof(f8159,plain,
( e21 != op2(e21,e21)
| ~ spl44_56
| ~ spl44_78
| ~ spl44_129
| ~ spl44_233
| ~ spl44_297
| spl44_435 ),
inference(forward_demodulation,[],[f8158,f7989]) ).
fof(f8158,plain,
( op2(e21,e21) != h1(e11)
| ~ spl44_56
| ~ spl44_78
| ~ spl44_129
| ~ spl44_233
| ~ spl44_297
| spl44_435 ),
inference(forward_demodulation,[],[f8157,f1465]) ).
fof(f8157,plain,
( op2(e21,e21) != h1(op1(e10,e11))
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_297
| spl44_435 ),
inference(forward_demodulation,[],[f8156,f1118]) ).
fof(f8156,plain,
( h1(op1(e10,e11)) != op2(h1(e10),e21)
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_297
| spl44_435 ),
inference(forward_demodulation,[],[f5977,f7989]) ).
fof(f8167,plain,
( spl44_296
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_297
| ~ spl44_558 ),
inference(avatar_split_clause,[],[f8166,f8161,f3659,f2004,f1226,f1117,f3545]) ).
fof(f8166,plain,
( e21 = op2(e21,e21)
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_297
| ~ spl44_558 ),
inference(forward_demodulation,[],[f8165,f1118]) ).
fof(f8165,plain,
( op2(e21,e21) = h1(e10)
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_297
| ~ spl44_558 ),
inference(forward_demodulation,[],[f8163,f7989]) ).
fof(f8163,plain,
( h1(e10) = op2(h1(e11),h1(e11))
| ~ spl44_558 ),
inference(avatar_component_clause,[],[f8161]) ).
fof(f8164,plain,
( spl44_558
| ~ spl44_262
| ~ spl44_439 ),
inference(avatar_split_clause,[],[f7778,f5991,f2158,f8161]) ).
fof(f7778,plain,
( h1(e10) = op2(h1(e11),h1(e11))
| ~ spl44_262
| ~ spl44_439 ),
inference(forward_demodulation,[],[f5992,f2159]) ).
fof(f5992,plain,
( h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
| ~ spl44_439 ),
inference(avatar_component_clause,[],[f5991]) ).
fof(f8153,plain,
( spl44_296
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_297
| ~ spl44_557 ),
inference(avatar_split_clause,[],[f8152,f8147,f3659,f2004,f1226,f1117,f3545]) ).
fof(f8152,plain,
( e21 = op2(e21,e21)
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_297
| ~ spl44_557 ),
inference(forward_demodulation,[],[f8151,f1118]) ).
fof(f8151,plain,
( e21 = op2(h1(e10),e21)
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_297
| ~ spl44_557 ),
inference(forward_demodulation,[],[f8149,f7989]) ).
fof(f8150,plain,
( spl44_557
| ~ spl44_129
| ~ spl44_435 ),
inference(avatar_split_clause,[],[f7775,f5975,f1463,f8147]) ).
fof(f7775,plain,
( h1(e11) = op2(h1(e10),h1(e11))
| ~ spl44_129
| ~ spl44_435 ),
inference(forward_demodulation,[],[f5976,f1465]) ).
fof(f8140,plain,
( spl44_556
| ~ spl44_56
| ~ spl44_263
| ~ spl44_438 ),
inference(avatar_split_clause,[],[f7983,f5987,f2162,f1117,f8137]) ).
fof(f7983,plain,
( h1(e11) = op2(h1(e11),e21)
| ~ spl44_56
| ~ spl44_263
| ~ spl44_438 ),
inference(forward_demodulation,[],[f7982,f2164]) ).
fof(f7982,plain,
( h1(op1(e11,e10)) = op2(h1(e11),e21)
| ~ spl44_56
| ~ spl44_438 ),
inference(forward_demodulation,[],[f5988,f1118]) ).
fof(f8135,plain,
( ~ spl44_555
| ~ spl44_31
| ~ spl44_308
| spl44_420 ),
inference(avatar_split_clause,[],[f7554,f5815,f4571,f1003,f8132]) ).
fof(f8132,plain,
( spl44_555
<=> h2(e12) = op2(e21,h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_555])]) ).
fof(f5815,plain,
( spl44_420
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_420])]) ).
fof(f7554,plain,
( h2(e12) != op2(e21,h2(e11))
| ~ spl44_31
| ~ spl44_308
| spl44_420 ),
inference(forward_demodulation,[],[f6864,f4573]) ).
fof(f6864,plain,
( h2(op1(e13,e11)) != op2(e21,h2(e11))
| ~ spl44_31
| spl44_420 ),
inference(forward_demodulation,[],[f5817,f1005]) ).
fof(f5817,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl44_420 ),
inference(avatar_component_clause,[],[f5815]) ).
fof(f8130,plain,
( ~ spl44_554
| ~ spl44_31
| ~ spl44_274
| spl44_432 ),
inference(avatar_split_clause,[],[f7548,f5925,f2286,f1003,f8127]) ).
fof(f8127,plain,
( spl44_554
<=> h2(e11) = op2(e21,h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_554])]) ).
fof(f5925,plain,
( spl44_432
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_432])]) ).
fof(f7548,plain,
( h2(e11) != op2(e21,h2(e12))
| ~ spl44_31
| ~ spl44_274
| spl44_432 ),
inference(forward_demodulation,[],[f7445,f2288]) ).
fof(f7445,plain,
( h2(op1(e13,e12)) != op2(e21,h2(e12))
| ~ spl44_31
| spl44_432 ),
inference(forward_demodulation,[],[f5927,f1005]) ).
fof(f5927,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl44_432 ),
inference(avatar_component_clause,[],[f5925]) ).
fof(f8125,plain,
( ~ spl44_553
| ~ spl44_31
| ~ spl44_303
| spl44_395 ),
inference(avatar_split_clause,[],[f7450,f5619,f4007,f1003,f8122]) ).
fof(f8122,plain,
( spl44_553
<=> e21 = op2(h2(e10),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_553])]) ).
fof(f5619,plain,
( spl44_395
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_395])]) ).
fof(f7450,plain,
( e21 != op2(h2(e10),h2(e12))
| ~ spl44_31
| ~ spl44_303
| spl44_395 ),
inference(forward_demodulation,[],[f7449,f1005]) ).
fof(f7449,plain,
( h2(e13) != op2(h2(e10),h2(e12))
| ~ spl44_303
| spl44_395 ),
inference(forward_demodulation,[],[f5621,f4009]) ).
fof(f5621,plain,
( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| spl44_395 ),
inference(avatar_component_clause,[],[f5619]) ).
fof(f8120,plain,
( ~ spl44_552
| ~ spl44_31
| ~ spl44_276
| spl44_402 ),
inference(avatar_split_clause,[],[f7437,f5647,f2305,f1003,f8117]) ).
fof(f8117,plain,
( spl44_552
<=> e21 = op2(h2(e12),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_552])]) ).
fof(f7437,plain,
( e21 != op2(h2(e12),h2(e11))
| ~ spl44_31
| ~ spl44_276
| spl44_402 ),
inference(forward_demodulation,[],[f7436,f1005]) ).
fof(f7436,plain,
( h2(e13) != op2(h2(e12),h2(e11))
| ~ spl44_276
| spl44_402 ),
inference(forward_demodulation,[],[f5649,f2307]) ).
fof(f8114,plain,
( ~ spl44_551
| ~ spl44_268
| ~ spl44_297
| spl44_455 ),
inference(avatar_split_clause,[],[f7920,f6153,f3659,f2185,f8111]) ).
fof(f8111,plain,
( spl44_551
<=> e20 = op2(e23,h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_551])]) ).
fof(f7920,plain,
( e20 != op2(e23,h1(e10))
| ~ spl44_268
| ~ spl44_297
| spl44_455 ),
inference(forward_demodulation,[],[f7919,f3661]) ).
fof(f8108,plain,
( ~ spl44_550
| ~ spl44_29
| ~ spl44_303
| spl44_451 ),
inference(avatar_split_clause,[],[f7918,f6137,f4007,f993,f8105]) ).
fof(f8105,plain,
( spl44_550
<=> e20 = op2(h1(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_550])]) ).
fof(f6137,plain,
( spl44_451
<=> h1(op1(e10,e12)) = op2(h1(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_451])]) ).
fof(f7918,plain,
( e20 != op2(h1(e10),e23)
| ~ spl44_29
| ~ spl44_303
| spl44_451 ),
inference(forward_demodulation,[],[f7917,f995]) ).
fof(f7917,plain,
( h1(e13) != op2(h1(e10),e23)
| ~ spl44_303
| spl44_451 ),
inference(forward_demodulation,[],[f6139,f4009]) ).
fof(f6139,plain,
( h1(op1(e10,e12)) != op2(h1(e10),e23)
| spl44_451 ),
inference(avatar_component_clause,[],[f6137]) ).
fof(f8102,plain,
( spl44_549
| ~ spl44_29
| ~ spl44_269
| ~ spl44_459 ),
inference(avatar_split_clause,[],[f7847,f6169,f2190,f993,f8099]) ).
fof(f8099,plain,
( spl44_549
<=> e20 = op2(e20,h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_549])]) ).
fof(f7847,plain,
( e20 = op2(e20,h1(e10))
| ~ spl44_29
| ~ spl44_269
| ~ spl44_459 ),
inference(forward_demodulation,[],[f7846,f995]) ).
fof(f7846,plain,
( h1(e13) = op2(e20,h1(e10))
| ~ spl44_29
| ~ spl44_269
| ~ spl44_459 ),
inference(forward_demodulation,[],[f7845,f2192]) ).
fof(f7845,plain,
( h1(op1(e13,e10)) = op2(e20,h1(e10))
| ~ spl44_29
| ~ spl44_459 ),
inference(forward_demodulation,[],[f6170,f995]) ).
fof(f8096,plain,
( spl44_548
| ~ spl44_119
| ~ spl44_297
| ~ spl44_440 ),
inference(avatar_split_clause,[],[f7777,f5995,f3659,f1418,f8093]) ).
fof(f7777,plain,
( e20 = op2(h1(e11),e20)
| ~ spl44_119
| ~ spl44_297
| ~ spl44_440 ),
inference(forward_demodulation,[],[f7776,f3661]) ).
fof(f7776,plain,
( h1(e12) = op2(h1(e11),e20)
| ~ spl44_119
| ~ spl44_297
| ~ spl44_440 ),
inference(forward_demodulation,[],[f6123,f1420]) ).
fof(f6123,plain,
( h1(op1(e11,e12)) = op2(h1(e11),e20)
| ~ spl44_297
| ~ spl44_440 ),
inference(forward_demodulation,[],[f5996,f3661]) ).
fof(f8080,plain,
( ~ spl44_289
| ~ spl44_29
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_276
| ~ spl44_297
| spl44_443 ),
inference(avatar_split_clause,[],[f8077,f6007,f3659,f2305,f2004,f1226,f1117,f993,f2618]) ).
fof(f8077,plain,
( e20 != op2(e20,e21)
| ~ spl44_29
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_276
| ~ spl44_297
| spl44_443 ),
inference(forward_demodulation,[],[f8076,f995]) ).
fof(f8076,plain,
( op2(e20,e21) != h1(e13)
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_276
| ~ spl44_297
| spl44_443 ),
inference(forward_demodulation,[],[f8075,f2307]) ).
fof(f8075,plain,
( op2(e20,e21) != h1(op1(e12,e11))
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_297
| spl44_443 ),
inference(forward_demodulation,[],[f8074,f3661]) ).
fof(f8074,plain,
( h1(op1(e12,e11)) != op2(h1(e12),e21)
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_297
| spl44_443 ),
inference(forward_demodulation,[],[f6009,f7989]) ).
fof(f6009,plain,
( h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| spl44_443 ),
inference(avatar_component_clause,[],[f6007]) ).
fof(f8078,plain,
( ~ spl44_289
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_297
| spl44_547 ),
inference(avatar_split_clause,[],[f8073,f8066,f3659,f2004,f1226,f1117,f2618]) ).
fof(f8073,plain,
( e20 != op2(e20,e21)
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_297
| spl44_547 ),
inference(forward_demodulation,[],[f8067,f7989]) ).
fof(f8067,plain,
( e20 != op2(e20,h1(e11))
| spl44_547 ),
inference(avatar_component_clause,[],[f8066]) ).
fof(f8069,plain,
( spl44_547
| ~ spl44_29
| ~ spl44_276
| ~ spl44_297
| ~ spl44_443 ),
inference(avatar_split_clause,[],[f7774,f6007,f3659,f2305,f993,f8066]) ).
fof(f7774,plain,
( e20 = op2(e20,h1(e11))
| ~ spl44_29
| ~ spl44_276
| ~ spl44_297
| ~ spl44_443 ),
inference(forward_demodulation,[],[f7773,f995]) ).
fof(f7773,plain,
( h1(e13) = op2(e20,h1(e11))
| ~ spl44_276
| ~ spl44_297
| ~ spl44_443 ),
inference(forward_demodulation,[],[f7772,f2307]) ).
fof(f7772,plain,
( h1(op1(e12,e11)) = op2(e20,h1(e11))
| ~ spl44_297
| ~ spl44_443 ),
inference(forward_demodulation,[],[f6008,f3661]) ).
fof(f8063,plain,
( ~ spl44_546
| ~ spl44_29
| ~ spl44_117
| spl44_441 ),
inference(avatar_split_clause,[],[f7771,f5999,f1409,f993,f8060]) ).
fof(f8060,plain,
( spl44_546
<=> e20 = op2(h1(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_546])]) ).
fof(f5999,plain,
( spl44_441
<=> h1(op1(e11,e13)) = op2(h1(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_441])]) ).
fof(f7771,plain,
( e20 != op2(h1(e11),e23)
| ~ spl44_29
| ~ spl44_117
| spl44_441 ),
inference(forward_demodulation,[],[f7770,f995]) ).
fof(f7770,plain,
( h1(e13) != op2(h1(e11),e23)
| ~ spl44_117
| spl44_441 ),
inference(forward_demodulation,[],[f6001,f1411]) ).
fof(f6001,plain,
( h1(op1(e11,e13)) != op2(h1(e11),e23)
| spl44_441 ),
inference(avatar_component_clause,[],[f5999]) ).
fof(f8057,plain,
( ~ spl44_545
| ~ spl44_297
| ~ spl44_308
| spl44_447 ),
inference(avatar_split_clause,[],[f7767,f6023,f4571,f3659,f8054]) ).
fof(f8054,plain,
( spl44_545
<=> e20 = op2(e23,h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_545])]) ).
fof(f7767,plain,
( e20 != op2(e23,h1(e11))
| ~ spl44_297
| ~ spl44_308
| spl44_447 ),
inference(forward_demodulation,[],[f7766,f3661]) ).
fof(f8052,plain,
( ~ spl44_544
| ~ spl44_31
| ~ spl44_117
| spl44_414 ),
inference(avatar_split_clause,[],[f7556,f5791,f1409,f1003,f8049]) ).
fof(f8049,plain,
( spl44_544
<=> e21 = op2(h2(e11),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_544])]) ).
fof(f7556,plain,
( e21 != op2(h2(e11),e21)
| ~ spl44_31
| ~ spl44_117
| spl44_414 ),
inference(forward_demodulation,[],[f7555,f1005]) ).
fof(f7555,plain,
( h2(e13) != op2(h2(e11),e21)
| ~ spl44_31
| ~ spl44_117
| spl44_414 ),
inference(forward_demodulation,[],[f6535,f1411]) ).
fof(f8047,plain,
( ~ spl44_543
| ~ spl44_31
| ~ spl44_269
| spl44_419 ),
inference(avatar_split_clause,[],[f7550,f5811,f2190,f1003,f8044]) ).
fof(f8044,plain,
( spl44_543
<=> e21 = op2(e21,h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_543])]) ).
fof(f7550,plain,
( e21 != op2(e21,h2(e10))
| ~ spl44_31
| ~ spl44_269
| spl44_419 ),
inference(forward_demodulation,[],[f7549,f1005]) ).
fof(f7549,plain,
( h2(e13) != op2(e21,h2(e10))
| ~ spl44_31
| ~ spl44_269
| spl44_419 ),
inference(forward_demodulation,[],[f7062,f2192]) ).
fof(f7062,plain,
( h2(op1(e13,e10)) != op2(e21,h2(e10))
| ~ spl44_31
| spl44_419 ),
inference(forward_demodulation,[],[f5813,f1005]) ).
fof(f8042,plain,
( ~ spl44_542
| ~ spl44_31
| ~ spl44_276
| spl44_429 ),
inference(avatar_split_clause,[],[f7442,f5913,f2305,f1003,f8039]) ).
fof(f8039,plain,
( spl44_542
<=> e21 = op2(h2(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_542])]) ).
fof(f5913,plain,
( spl44_429
<=> h2(op1(e12,e11)) = op2(h2(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_429])]) ).
fof(f7442,plain,
( e21 != op2(h2(e12),e23)
| ~ spl44_31
| ~ spl44_276
| spl44_429 ),
inference(forward_demodulation,[],[f7441,f1005]) ).
fof(f7441,plain,
( h2(e13) != op2(h2(e12),e23)
| ~ spl44_276
| spl44_429 ),
inference(forward_demodulation,[],[f5915,f2307]) ).
fof(f5915,plain,
( h2(op1(e12,e11)) != op2(h2(e12),e23)
| spl44_429 ),
inference(avatar_component_clause,[],[f5913]) ).
fof(f8037,plain,
( ~ spl44_541
| ~ spl44_31
| ~ spl44_269
| spl44_405 ),
inference(avatar_split_clause,[],[f7113,f5659,f2190,f1003,f8034]) ).
fof(f8034,plain,
( spl44_541
<=> e21 = op2(e23,h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_541])]) ).
fof(f5659,plain,
( spl44_405
<=> h2(op1(e13,e10)) = op2(e23,h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_405])]) ).
fof(f7113,plain,
( e21 != op2(e23,h2(e10))
| ~ spl44_31
| ~ spl44_269
| spl44_405 ),
inference(forward_demodulation,[],[f7112,f1005]) ).
fof(f7112,plain,
( h2(e13) != op2(e23,h2(e10))
| ~ spl44_269
| spl44_405 ),
inference(forward_demodulation,[],[f5661,f2192]) ).
fof(f5661,plain,
( h2(op1(e13,e10)) != op2(e23,h2(e10))
| spl44_405 ),
inference(avatar_component_clause,[],[f5659]) ).
fof(f8032,plain,
( ~ spl44_540
| ~ spl44_31
| ~ spl44_303
| spl44_411 ),
inference(avatar_split_clause,[],[f7057,f5779,f4007,f1003,f8029]) ).
fof(f8029,plain,
( spl44_540
<=> e21 = op2(h2(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_540])]) ).
fof(f5779,plain,
( spl44_411
<=> h2(op1(e10,e12)) = op2(h2(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_411])]) ).
fof(f7057,plain,
( e21 != op2(h2(e10),e23)
| ~ spl44_31
| ~ spl44_303
| spl44_411 ),
inference(forward_demodulation,[],[f7056,f1005]) ).
fof(f7056,plain,
( h2(e13) != op2(h2(e10),e23)
| ~ spl44_303
| spl44_411 ),
inference(forward_demodulation,[],[f5781,f4009]) ).
fof(f5781,plain,
( h2(op1(e10,e12)) != op2(h2(e10),e23)
| spl44_411 ),
inference(avatar_component_clause,[],[f5779]) ).
fof(f8026,plain,
( ~ spl44_237
| ~ spl44_129
| spl44_340 ),
inference(avatar_split_clause,[],[f5212,f4956,f1463,f2025]) ).
fof(f4956,plain,
( spl44_340
<=> e21 = h4(op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_340])]) ).
fof(f5212,plain,
( e21 != h4(e11)
| ~ spl44_129
| spl44_340 ),
inference(superposition,[],[f4957,f1465]) ).
fof(f4957,plain,
( e21 != h4(op1(e10,e11))
| spl44_340 ),
inference(avatar_component_clause,[],[f4956]) ).
fof(f8025,plain,
( ~ spl44_539
| ~ spl44_31
| ~ spl44_276
| spl44_416 ),
inference(avatar_split_clause,[],[f6871,f5799,f2305,f1003,f8022]) ).
fof(f8022,plain,
( spl44_539
<=> e21 = op2(e23,h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_539])]) ).
fof(f5799,plain,
( spl44_416
<=> h2(op1(e12,e11)) = op2(e23,h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_416])]) ).
fof(f6871,plain,
( e21 != op2(e23,h2(e11))
| ~ spl44_31
| ~ spl44_276
| spl44_416 ),
inference(forward_demodulation,[],[f6870,f1005]) ).
fof(f6870,plain,
( h2(e13) != op2(e23,h2(e11))
| ~ spl44_276
| spl44_416 ),
inference(forward_demodulation,[],[f5801,f2307]) ).
fof(f5801,plain,
( h2(op1(e12,e11)) != op2(e23,h2(e11))
| spl44_416 ),
inference(avatar_component_clause,[],[f5799]) ).
fof(f8020,plain,
( ~ spl44_538
| ~ spl44_31
| ~ spl44_117
| spl44_400 ),
inference(avatar_split_clause,[],[f6859,f5639,f1409,f1003,f8017]) ).
fof(f8017,plain,
( spl44_538
<=> e21 = op2(h2(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_538])]) ).
fof(f5639,plain,
( spl44_400
<=> h2(op1(e11,e13)) = op2(h2(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_400])]) ).
fof(f6859,plain,
( e21 != op2(h2(e11),e23)
| ~ spl44_31
| ~ spl44_117
| spl44_400 ),
inference(forward_demodulation,[],[f6858,f1005]) ).
fof(f6858,plain,
( h2(e13) != op2(h2(e11),e23)
| ~ spl44_117
| spl44_400 ),
inference(forward_demodulation,[],[f5641,f1411]) ).
fof(f5641,plain,
( h2(op1(e11,e13)) != op2(h2(e11),e23)
| spl44_400 ),
inference(avatar_component_clause,[],[f5639]) ).
fof(f8010,plain,
( spl44_296
| ~ spl44_56
| ~ spl44_131
| ~ spl44_434 ),
inference(avatar_split_clause,[],[f7981,f5971,f1472,f1117,f3545]) ).
fof(f5971,plain,
( spl44_434
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_434])]) ).
fof(f7981,plain,
( e21 = op2(e21,e21)
| ~ spl44_56
| ~ spl44_131
| ~ spl44_434 ),
inference(forward_demodulation,[],[f7980,f1118]) ).
fof(f7980,plain,
( op2(e21,e21) = h1(e10)
| ~ spl44_56
| ~ spl44_131
| ~ spl44_434 ),
inference(forward_demodulation,[],[f7979,f1474]) ).
fof(f7979,plain,
( op2(e21,e21) = h1(op1(e10,e10))
| ~ spl44_56
| ~ spl44_434 ),
inference(forward_demodulation,[],[f5972,f1118]) ).
fof(f5972,plain,
( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
| ~ spl44_434 ),
inference(avatar_component_clause,[],[f5971]) ).
fof(f8009,plain,
( ~ spl44_94
| ~ spl44_56
| ~ spl44_289 ),
inference(avatar_split_clause,[],[f8007,f2618,f1117,f1305]) ).
fof(f1305,plain,
( spl44_94
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_94])]) ).
fof(f8007,plain,
( ~ sP19
| ~ spl44_56
| ~ spl44_289 ),
inference(trivial_inequality_removal,[],[f8006]) ).
fof(f8006,plain,
( e21 != e21
| ~ sP19
| ~ spl44_56
| ~ spl44_289 ),
inference(forward_demodulation,[],[f7951,f1118]) ).
fof(f7951,plain,
( e21 != h1(e10)
| ~ sP19
| ~ spl44_289 ),
inference(trivial_inequality_removal,[],[f7950]) ).
fof(f7950,plain,
( e20 != e20
| e21 != h1(e10)
| ~ sP19
| ~ spl44_289 ),
inference(forward_demodulation,[],[f780,f2620]) ).
fof(f780,plain,
( e21 != h1(e10)
| e20 != op2(e20,e21)
| ~ sP19 ),
inference(forward_demodulation,[],[f459,f205]) ).
fof(f205,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( op2(op2(e20,e20),e20) = h1(e12)
& h1(e11) = op2(op2(op2(e20,e20),e20),e20)
& op2(e20,e20) = h1(e10)
& e20 = h1(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f459,plain,
( e20 != op2(e20,e21)
| op2(e20,e20) != e21
| ~ sP19 ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e23 = op2(e21,e23) )
| ~ sP19 ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e23 = op2(e21,e23) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f8005,plain,
( ~ spl44_56
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_297
| spl44_537 ),
inference(avatar_split_clause,[],[f7990,f7975,f3659,f2004,f1226,f1117,f1117]) ).
fof(f7990,plain,
( e21 != h1(e10)
| ~ spl44_56
| ~ spl44_78
| ~ spl44_233
| ~ spl44_297
| spl44_537 ),
inference(forward_demodulation,[],[f7976,f7989]) ).
fof(f7978,plain,
( spl44_537
| ~ spl44_29
| ~ spl44_78
| ~ spl44_274
| ~ spl44_297
| ~ spl44_472 ),
inference(avatar_split_clause,[],[f7791,f6286,f3659,f2286,f1226,f993,f7975]) ).
fof(f6286,plain,
( spl44_472
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_472])]) ).
fof(f7791,plain,
( h1(e10) = h1(e11)
| ~ spl44_29
| ~ spl44_78
| ~ spl44_274
| ~ spl44_297
| ~ spl44_472 ),
inference(forward_demodulation,[],[f6329,f1228]) ).
fof(f6329,plain,
( op2(e20,e20) = h1(e11)
| ~ spl44_29
| ~ spl44_274
| ~ spl44_297
| ~ spl44_472 ),
inference(forward_demodulation,[],[f6328,f2288]) ).
fof(f6328,plain,
( op2(e20,e20) = h1(op1(e13,e12))
| ~ spl44_29
| ~ spl44_297
| ~ spl44_472 ),
inference(forward_demodulation,[],[f6327,f995]) ).
fof(f6327,plain,
( h1(op1(e13,e12)) = op2(h1(e13),e20)
| ~ spl44_297
| ~ spl44_472 ),
inference(forward_demodulation,[],[f6287,f3661]) ).
fof(f6287,plain,
( h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
| ~ spl44_472 ),
inference(avatar_component_clause,[],[f6286]) ).
fof(f7971,plain,
( ~ spl44_40
| ~ spl44_131
| spl44_339 ),
inference(avatar_split_clause,[],[f7877,f4922,f1472,f1045]) ).
fof(f4922,plain,
( spl44_339
<=> e20 = h4(op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_339])]) ).
fof(f7877,plain,
( e20 != h4(e10)
| ~ spl44_131
| spl44_339 ),
inference(forward_demodulation,[],[f4924,f1474]) ).
fof(f4924,plain,
( e20 != h4(op1(e10,e10))
| spl44_339 ),
inference(avatar_component_clause,[],[f4922]) ).
fof(f7970,plain,
( ~ spl44_473
| ~ spl44_258
| ~ spl44_274
| ~ spl44_297
| spl44_448 ),
inference(avatar_split_clause,[],[f7765,f6027,f3659,f2286,f2135,f6290]) ).
fof(f6290,plain,
( spl44_473
<=> e23 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_473])]) ).
fof(f7765,plain,
( e23 != h1(e11)
| ~ spl44_258
| ~ spl44_274
| ~ spl44_297
| spl44_448 ),
inference(forward_demodulation,[],[f6043,f2137]) ).
fof(f6043,plain,
( op2(e23,e20) != h1(e11)
| ~ spl44_274
| ~ spl44_297
| spl44_448 ),
inference(forward_demodulation,[],[f6042,f2288]) ).
fof(f6042,plain,
( op2(e23,e20) != h1(op1(e13,e12))
| ~ spl44_297
| spl44_448 ),
inference(forward_demodulation,[],[f6029,f3661]) ).
fof(f7949,plain,
( spl44_1
| ~ spl44_56
| ~ spl44_59
| ~ spl44_60
| ~ spl44_449 ),
inference(avatar_split_clause,[],[f7936,f6031,f1136,f1131,f1117,f853]) ).
fof(f1136,plain,
( spl44_60
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_60])]) ).
fof(f6031,plain,
( spl44_449
<=> op2(e23,e23) = h1(op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_449])]) ).
fof(f7936,plain,
( e20 = e21
| ~ spl44_56
| ~ spl44_59
| ~ spl44_60
| ~ spl44_449 ),
inference(forward_demodulation,[],[f1118,f7925]) ).
fof(f7925,plain,
( e20 = h1(e10)
| ~ spl44_59
| ~ spl44_60
| ~ spl44_449 ),
inference(forward_demodulation,[],[f6114,f1133]) ).
fof(f6114,plain,
( op2(e23,e23) = h1(e10)
| ~ spl44_60
| ~ spl44_449 ),
inference(forward_demodulation,[],[f6032,f1138]) ).
fof(f1138,plain,
( e10 = op1(e13,e13)
| ~ spl44_60 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f6032,plain,
( op2(e23,e23) = h1(op1(e13,e13))
| ~ spl44_449 ),
inference(avatar_component_clause,[],[f6031]) ).
fof(f7914,plain,
( spl44_1
| ~ spl44_40
| ~ spl44_56
| ~ spl44_78
| ~ spl44_131
| ~ spl44_309 ),
inference(avatar_split_clause,[],[f7888,f4589,f1472,f1226,f1117,f1045,f853]) ).
fof(f4589,plain,
( spl44_309
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_309])]) ).
fof(f7888,plain,
( e20 = e21
| ~ spl44_40
| ~ spl44_56
| ~ spl44_78
| ~ spl44_131
| ~ spl44_309 ),
inference(forward_demodulation,[],[f1118,f7874]) ).
fof(f7874,plain,
( e20 = h1(e10)
| ~ spl44_40
| ~ spl44_78
| ~ spl44_131
| ~ spl44_309 ),
inference(forward_demodulation,[],[f7873,f1046]) ).
fof(f7873,plain,
( h1(e10) = h4(e10)
| ~ spl44_40
| ~ spl44_78
| ~ spl44_131
| ~ spl44_309 ),
inference(forward_demodulation,[],[f4945,f1474]) ).
fof(f4945,plain,
( h1(e10) = h4(op1(e10,e10))
| ~ spl44_40
| ~ spl44_78
| ~ spl44_309 ),
inference(forward_demodulation,[],[f4902,f1228]) ).
fof(f4902,plain,
( op2(e20,e20) = h4(op1(e10,e10))
| ~ spl44_40
| ~ spl44_309 ),
inference(forward_demodulation,[],[f4590,f1046]) ).
fof(f4590,plain,
( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
| ~ spl44_309 ),
inference(avatar_component_clause,[],[f4589]) ).
fof(f7878,plain,
( spl44_1
| ~ spl44_56
| ~ spl44_59
| ~ spl44_267
| ~ spl44_457 ),
inference(avatar_split_clause,[],[f7871,f6161,f2181,f1131,f1117,f853]) ).
fof(f7871,plain,
( e20 = e21
| ~ spl44_56
| ~ spl44_59
| ~ spl44_267
| ~ spl44_457 ),
inference(forward_demodulation,[],[f1118,f7848]) ).
fof(f7838,plain,
( spl44_1
| ~ spl44_40
| ~ spl44_56
| ~ spl44_78
| ~ spl44_309
| ~ spl44_339 ),
inference(avatar_split_clause,[],[f7801,f4922,f4589,f1226,f1117,f1045,f853]) ).
fof(f7801,plain,
( e20 = e21
| ~ spl44_40
| ~ spl44_56
| ~ spl44_78
| ~ spl44_309
| ~ spl44_339 ),
inference(forward_demodulation,[],[f1118,f7601]) ).
fof(f7601,plain,
( e20 = h1(e10)
| ~ spl44_40
| ~ spl44_78
| ~ spl44_309
| ~ spl44_339 ),
inference(forward_demodulation,[],[f4945,f4923]) ).
fof(f4923,plain,
( e20 = h4(op1(e10,e10))
| ~ spl44_339 ),
inference(avatar_component_clause,[],[f4922]) ).
fof(f7764,plain,
( spl44_1
| ~ spl44_56
| ~ spl44_78
| ~ spl44_325 ),
inference(avatar_split_clause,[],[f7724,f4770,f1226,f1117,f853]) ).
fof(f7724,plain,
( e20 = e21
| ~ spl44_56
| ~ spl44_78
| ~ spl44_325 ),
inference(forward_demodulation,[],[f1118,f7687]) ).
fof(f7688,plain,
( ~ spl44_59
| ~ spl44_78
| ~ spl44_233
| ~ spl44_262
| ~ spl44_297
| ~ spl44_345
| spl44_466 ),
inference(avatar_split_clause,[],[f7675,f6262,f5034,f3659,f2158,f2004,f1226,f1131]) ).
fof(f7675,plain,
( e20 != op2(e23,e23)
| ~ spl44_78
| ~ spl44_233
| ~ spl44_262
| ~ spl44_297
| ~ spl44_345
| spl44_466 ),
inference(forward_demodulation,[],[f6316,f7602]) ).
fof(f7602,plain,
( e20 = h1(e10)
| ~ spl44_78
| ~ spl44_233
| ~ spl44_297
| ~ spl44_345 ),
inference(forward_demodulation,[],[f4135,f5036]) ).
fof(f6316,plain,
( op2(e23,e23) != h1(e10)
| ~ spl44_262
| spl44_466 ),
inference(forward_demodulation,[],[f6264,f2159]) ).
fof(f6264,plain,
( op2(e23,e23) != h1(op1(e11,e11))
| spl44_466 ),
inference(avatar_component_clause,[],[f6262]) ).
fof(f7685,plain,
( spl44_325
| ~ spl44_29
| ~ spl44_274
| ~ spl44_297
| ~ spl44_345
| ~ spl44_472 ),
inference(avatar_split_clause,[],[f6330,f6286,f5034,f3659,f2286,f993,f4770]) ).
fof(f6330,plain,
( e20 = op2(e20,e20)
| ~ spl44_29
| ~ spl44_274
| ~ spl44_297
| ~ spl44_345
| ~ spl44_472 ),
inference(forward_demodulation,[],[f6329,f5036]) ).
fof(f7683,plain,
( ~ spl44_536
| ~ spl44_30
| ~ spl44_251
| ~ spl44_274
| spl44_381 ),
inference(avatar_split_clause,[],[f7152,f5451,f2286,f2100,f998,f7680]) ).
fof(f7680,plain,
( spl44_536
<=> e21 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_536])]) ).
fof(f2100,plain,
( spl44_251
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_251])]) ).
fof(f5451,plain,
( spl44_381
<=> h3(op1(e13,e12)) = op2(h3(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_381])]) ).
fof(f7152,plain,
( e21 != h3(e11)
| ~ spl44_30
| ~ spl44_251
| ~ spl44_274
| spl44_381 ),
inference(forward_demodulation,[],[f5463,f2102]) ).
fof(f2102,plain,
( e21 = op2(e22,e23)
| ~ spl44_251 ),
inference(avatar_component_clause,[],[f2100]) ).
fof(f5463,plain,
( op2(e22,e23) != h3(e11)
| ~ spl44_30
| ~ spl44_274
| spl44_381 ),
inference(forward_demodulation,[],[f5462,f2288]) ).
fof(f5462,plain,
( op2(e22,e23) != h3(op1(e13,e12))
| ~ spl44_30
| spl44_381 ),
inference(forward_demodulation,[],[f5453,f1000]) ).
fof(f5453,plain,
( h3(op1(e13,e12)) != op2(h3(e13),e23)
| spl44_381 ),
inference(avatar_component_clause,[],[f5451]) ).
fof(f7623,plain,
( spl44_1
| ~ spl44_56
| ~ spl44_59
| ~ spl44_262
| ~ spl44_466 ),
inference(avatar_split_clause,[],[f7598,f6262,f2158,f1131,f1117,f853]) ).
fof(f7598,plain,
( e20 = e21
| ~ spl44_56
| ~ spl44_59
| ~ spl44_262
| ~ spl44_466 ),
inference(forward_demodulation,[],[f1118,f7563]) ).
fof(f7547,plain,
( spl44_1
| ~ spl44_56
| ~ spl44_58 ),
inference(avatar_split_clause,[],[f5208,f1126,f1117,f853]) ).
fof(f5208,plain,
( e20 = e21
| ~ spl44_56
| ~ spl44_58 ),
inference(forward_demodulation,[],[f1118,f1127]) ).
fof(f1127,plain,
( e20 = h1(e10)
| ~ spl44_58 ),
inference(avatar_component_clause,[],[f1126]) ).
fof(f7546,plain,
( spl44_535
| ~ spl44_267
| ~ spl44_403 ),
inference(avatar_split_clause,[],[f7448,f5651,f2181,f7543]) ).
fof(f7543,plain,
( spl44_535
<=> h2(e10) = op2(h2(e12),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_535])]) ).
fof(f5651,plain,
( spl44_403
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_403])]) ).
fof(f7448,plain,
( h2(e10) = op2(h2(e12),h2(e12))
| ~ spl44_267
| ~ spl44_403 ),
inference(forward_demodulation,[],[f5652,f2182]) ).
fof(f5652,plain,
( h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
| ~ spl44_403 ),
inference(avatar_component_clause,[],[f5651]) ).
fof(f7541,plain,
( ~ spl44_534
| ~ spl44_119
| spl44_399 ),
inference(avatar_split_clause,[],[f7439,f5635,f1418,f7538]) ).
fof(f7538,plain,
( spl44_534
<=> h2(e12) = op2(h2(e11),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_534])]) ).
fof(f7439,plain,
( h2(e12) != op2(h2(e11),h2(e12))
| ~ spl44_119
| spl44_399 ),
inference(forward_demodulation,[],[f5637,f1420]) ).
fof(f7536,plain,
( spl44_533
| ~ spl44_263
| ~ spl44_397 ),
inference(avatar_split_clause,[],[f7435,f5627,f2162,f7533]) ).
fof(f7533,plain,
( spl44_533
<=> h2(e11) = op2(h2(e11),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_533])]) ).
fof(f7435,plain,
( h2(e11) = op2(h2(e11),h2(e10))
| ~ spl44_263
| ~ spl44_397 ),
inference(forward_demodulation,[],[f5628,f2164]) ).
fof(f7531,plain,
( ~ spl44_532
| ~ spl44_268
| spl44_401 ),
inference(avatar_split_clause,[],[f7433,f5643,f2185,f7528]) ).
fof(f7528,plain,
( spl44_532
<=> h2(e12) = op2(h2(e12),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_532])]) ).
fof(f7433,plain,
( h2(e12) != op2(h2(e12),h2(e10))
| ~ spl44_268
| spl44_401 ),
inference(forward_demodulation,[],[f5645,f2187]) ).
fof(f7526,plain,
( ~ spl44_508
| ~ spl44_129
| spl44_394 ),
inference(avatar_split_clause,[],[f7432,f5615,f1463,f7372]) ).
fof(f7372,plain,
( spl44_508
<=> h2(e11) = op2(h2(e10),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_508])]) ).
fof(f7432,plain,
( h2(e11) != op2(h2(e10),h2(e11))
| ~ spl44_129
| spl44_394 ),
inference(forward_demodulation,[],[f5617,f1465]) ).
fof(f5617,plain,
( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| spl44_394 ),
inference(avatar_component_clause,[],[f5615]) ).
fof(f7525,plain,
( ~ spl44_531
| ~ spl44_274
| spl44_407 ),
inference(avatar_split_clause,[],[f7453,f5667,f2286,f7522]) ).
fof(f7522,plain,
( spl44_531
<=> h2(e11) = op2(e23,h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_531])]) ).
fof(f5667,plain,
( spl44_407
<=> h2(op1(e13,e12)) = op2(e23,h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_407])]) ).
fof(f7453,plain,
( h2(e11) != op2(e23,h2(e12))
| ~ spl44_274
| spl44_407 ),
inference(forward_demodulation,[],[f5669,f2288]) ).
fof(f5669,plain,
( h2(op1(e13,e12)) != op2(e23,h2(e12))
| spl44_407 ),
inference(avatar_component_clause,[],[f5667]) ).
fof(f7520,plain,
( ~ spl44_530
| ~ spl44_61
| spl44_404 ),
inference(avatar_split_clause,[],[f7452,f5655,f1141,f7517]) ).
fof(f7517,plain,
( spl44_530
<=> h2(e11) = op2(h2(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_530])]) ).
fof(f5655,plain,
( spl44_404
<=> h2(op1(e12,e13)) = op2(h2(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_404])]) ).
fof(f7452,plain,
( h2(e11) != op2(h2(e12),e23)
| ~ spl44_61
| spl44_404 ),
inference(forward_demodulation,[],[f5657,f1143]) ).
fof(f5657,plain,
( h2(op1(e12,e13)) != op2(h2(e12),e23)
| spl44_404 ),
inference(avatar_component_clause,[],[f5655]) ).
fof(f7515,plain,
( ~ spl44_529
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_303
| spl44_395 ),
inference(avatar_split_clause,[],[f7451,f5619,f4007,f1126,f1117,f1003,f7512]) ).
fof(f7512,plain,
( spl44_529
<=> e20 = op2(h2(e10),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_529])]) ).
fof(f7451,plain,
( e20 != op2(h2(e10),h2(e12))
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_303
| spl44_395 ),
inference(forward_demodulation,[],[f7450,f5208]) ).
fof(f7510,plain,
( ~ spl44_528
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_274
| spl44_432 ),
inference(avatar_split_clause,[],[f7447,f5925,f2286,f1126,f1117,f1003,f7507]) ).
fof(f7507,plain,
( spl44_528
<=> h2(e11) = op2(e20,h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_528])]) ).
fof(f7447,plain,
( h2(e11) != op2(e20,h2(e12))
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_274
| spl44_432 ),
inference(forward_demodulation,[],[f7446,f2288]) ).
fof(f7446,plain,
( h2(op1(e13,e12)) != op2(e20,h2(e12))
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| spl44_432 ),
inference(forward_demodulation,[],[f7445,f5208]) ).
fof(f7505,plain,
( ~ spl44_527
| ~ spl44_119
| spl44_427 ),
inference(avatar_split_clause,[],[f7440,f5905,f1418,f7502]) ).
fof(f7502,plain,
( spl44_527
<=> h2(e12) = op2(e23,h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_527])]) ).
fof(f5905,plain,
( spl44_427
<=> h2(op1(e11,e12)) = op2(e23,h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_427])]) ).
fof(f7440,plain,
( h2(e12) != op2(e23,h2(e12))
| ~ spl44_119
| spl44_427 ),
inference(forward_demodulation,[],[f5907,f1420]) ).
fof(f5907,plain,
( h2(op1(e11,e12)) != op2(e23,h2(e12))
| spl44_427 ),
inference(avatar_component_clause,[],[f5905]) ).
fof(f7500,plain,
( ~ spl44_526
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_276
| spl44_402 ),
inference(avatar_split_clause,[],[f7438,f5647,f2305,f1126,f1117,f1003,f7497]) ).
fof(f7497,plain,
( spl44_526
<=> e20 = op2(h2(e12),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_526])]) ).
fof(f7438,plain,
( e20 != op2(h2(e12),h2(e11))
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_276
| spl44_402 ),
inference(forward_demodulation,[],[f7437,f5208]) ).
fof(f7495,plain,
( ~ spl44_525
| ~ spl44_165
| spl44_396 ),
inference(avatar_split_clause,[],[f7120,f5623,f1653,f7492]) ).
fof(f7492,plain,
( spl44_525
<=> h2(e12) = op2(h2(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_525])]) ).
fof(f5623,plain,
( spl44_396
<=> h2(op1(e10,e13)) = op2(h2(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_396])]) ).
fof(f7120,plain,
( h2(e12) != op2(h2(e10),e23)
| ~ spl44_165
| spl44_396 ),
inference(forward_demodulation,[],[f5625,f1655]) ).
fof(f5625,plain,
( h2(op1(e10,e13)) != op2(h2(e10),e23)
| spl44_396 ),
inference(avatar_component_clause,[],[f5623]) ).
fof(f7490,plain,
( ~ spl44_524
| ~ spl44_268
| spl44_415 ),
inference(avatar_split_clause,[],[f7059,f5795,f2185,f7487]) ).
fof(f7487,plain,
( spl44_524
<=> h2(e12) = op2(e23,h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_524])]) ).
fof(f5795,plain,
( spl44_415
<=> h2(op1(e12,e10)) = op2(e23,h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_415])]) ).
fof(f7059,plain,
( h2(e12) != op2(e23,h2(e10))
| ~ spl44_268
| spl44_415 ),
inference(forward_demodulation,[],[f5797,f2187]) ).
fof(f5797,plain,
( h2(op1(e12,e10)) != op2(e23,h2(e10))
| spl44_415 ),
inference(avatar_component_clause,[],[f5795]) ).
fof(f7485,plain,
( ~ spl44_523
| ~ spl44_263
| spl44_425 ),
inference(avatar_split_clause,[],[f6937,f5897,f2162,f7482]) ).
fof(f7482,plain,
( spl44_523
<=> h2(e11) = op2(e23,h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_523])]) ).
fof(f5897,plain,
( spl44_425
<=> h2(op1(e11,e10)) = op2(e23,h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_425])]) ).
fof(f6937,plain,
( h2(e11) != op2(e23,h2(e10))
| ~ spl44_263
| spl44_425 ),
inference(forward_demodulation,[],[f5899,f2164]) ).
fof(f5899,plain,
( h2(op1(e11,e10)) != op2(e23,h2(e10))
| spl44_425 ),
inference(avatar_component_clause,[],[f5897]) ).
fof(f7480,plain,
( ~ spl44_522
| ~ spl44_129
| spl44_424 ),
inference(avatar_split_clause,[],[f6935,f5893,f1463,f7477]) ).
fof(f7477,plain,
( spl44_522
<=> h2(e11) = op2(h2(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_522])]) ).
fof(f5893,plain,
( spl44_424
<=> h2(op1(e10,e11)) = op2(h2(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_424])]) ).
fof(f6935,plain,
( h2(e11) != op2(h2(e10),e23)
| ~ spl44_129
| spl44_424 ),
inference(forward_demodulation,[],[f5895,f1465]) ).
fof(f5895,plain,
( h2(op1(e10,e11)) != op2(h2(e10),e23)
| spl44_424 ),
inference(avatar_component_clause,[],[f5893]) ).
fof(f7475,plain,
( ~ spl44_521
| ~ spl44_119
| spl44_413 ),
inference(avatar_split_clause,[],[f6873,f5787,f1418,f7472]) ).
fof(f7472,plain,
( spl44_521
<=> h2(e12) = op2(h2(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_521])]) ).
fof(f5787,plain,
( spl44_413
<=> h2(op1(e11,e12)) = op2(h2(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_413])]) ).
fof(f6873,plain,
( h2(e12) != op2(h2(e11),e23)
| ~ spl44_119
| spl44_413 ),
inference(forward_demodulation,[],[f5789,f1420]) ).
fof(f5789,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e23)
| spl44_413 ),
inference(avatar_component_clause,[],[f5787]) ).
fof(f7470,plain,
( ~ spl44_520
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_308
| spl44_420 ),
inference(avatar_split_clause,[],[f6866,f5815,f4571,f1126,f1117,f1003,f7467]) ).
fof(f7467,plain,
( spl44_520
<=> h2(e12) = op2(e20,h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_520])]) ).
fof(f6866,plain,
( h2(e12) != op2(e20,h2(e11))
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_308
| spl44_420 ),
inference(forward_demodulation,[],[f6865,f4573]) ).
fof(f6865,plain,
( h2(op1(e13,e11)) != op2(e20,h2(e11))
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| spl44_420 ),
inference(forward_demodulation,[],[f6864,f5208]) ).
fof(f7465,plain,
( ~ spl44_519
| ~ spl44_308
| spl44_406 ),
inference(avatar_split_clause,[],[f6849,f5663,f4571,f7462]) ).
fof(f7462,plain,
( spl44_519
<=> h2(e12) = op2(e23,h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_519])]) ).
fof(f5663,plain,
( spl44_406
<=> h2(op1(e13,e11)) = op2(e23,h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_406])]) ).
fof(f6849,plain,
( h2(e12) != op2(e23,h2(e11))
| ~ spl44_308
| spl44_406 ),
inference(forward_demodulation,[],[f5665,f4573]) ).
fof(f5665,plain,
( h2(op1(e13,e11)) != op2(e23,h2(e11))
| spl44_406 ),
inference(avatar_component_clause,[],[f5663]) ).
fof(f7460,plain,
( ~ spl44_518
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_276
| spl44_429 ),
inference(avatar_split_clause,[],[f7443,f5913,f2305,f1126,f1117,f1003,f7457]) ).
fof(f7457,plain,
( spl44_518
<=> e20 = op2(h2(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_518])]) ).
fof(f7443,plain,
( e20 != op2(h2(e12),e23)
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_276
| spl44_429 ),
inference(forward_demodulation,[],[f7442,f5208]) ).
fof(f7455,plain,
( ~ spl44_423
| ~ spl44_31
| ~ spl44_95
| ~ spl44_308
| spl44_431 ),
inference(avatar_split_clause,[],[f7444,f5921,f4571,f1309,f1003,f5827]) ).
fof(f5827,plain,
( spl44_423
<=> e23 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_423])]) ).
fof(f5921,plain,
( spl44_431
<=> h2(op1(e13,e11)) = op2(h2(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_431])]) ).
fof(f7444,plain,
( e23 != h2(e12)
| ~ spl44_31
| ~ spl44_95
| ~ spl44_308
| spl44_431 ),
inference(forward_demodulation,[],[f5940,f1311]) ).
fof(f5940,plain,
( op2(e21,e23) != h2(e12)
| ~ spl44_31
| ~ spl44_308
| spl44_431 ),
inference(forward_demodulation,[],[f5939,f4573]) ).
fof(f5939,plain,
( op2(e21,e23) != h2(op1(e13,e11))
| ~ spl44_31
| spl44_431 ),
inference(forward_demodulation,[],[f5923,f1005]) ).
fof(f5923,plain,
( h2(op1(e13,e11)) != op2(h2(e13),e23)
| spl44_431 ),
inference(avatar_component_clause,[],[f5921]) ).
fof(f7431,plain,
( ~ spl44_510
| ~ spl44_80
| ~ spl44_235
| ~ spl44_277
| spl44_508 ),
inference(avatar_split_clause,[],[f7376,f7372,f2313,f2014,f1236,f7387]) ).
fof(f7387,plain,
( spl44_510
<=> h2(e10) = op2(h2(e10),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_510])]) ).
fof(f2014,plain,
( spl44_235
<=> h2(e11) = op2(h2(e12),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_235])]) ).
fof(f7376,plain,
( h2(e10) != op2(h2(e10),h2(e10))
| ~ spl44_80
| ~ spl44_235
| ~ spl44_277
| spl44_508 ),
inference(forward_demodulation,[],[f7373,f6876]) ).
fof(f6876,plain,
( h2(e10) = h2(e11)
| ~ spl44_80
| ~ spl44_235
| ~ spl44_277 ),
inference(forward_demodulation,[],[f3944,f1238]) ).
fof(f3944,plain,
( op2(e21,e21) = h2(e11)
| ~ spl44_235
| ~ spl44_277 ),
inference(superposition,[],[f2016,f2315]) ).
fof(f2016,plain,
( h2(e11) = op2(h2(e12),e21)
| ~ spl44_235 ),
inference(avatar_component_clause,[],[f2014]) ).
fof(f7373,plain,
( h2(e11) != op2(h2(e10),h2(e11))
| spl44_508 ),
inference(avatar_component_clause,[],[f7372]) ).
fof(f7430,plain,
( ~ spl44_517
| ~ spl44_119
| spl44_359 ),
inference(avatar_split_clause,[],[f7159,f5264,f1418,f7427]) ).
fof(f7427,plain,
( spl44_517
<=> h3(e12) = op2(h3(e11),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_517])]) ).
fof(f5264,plain,
( spl44_359
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_359])]) ).
fof(f7159,plain,
( h3(e12) != op2(h3(e11),h3(e12))
| ~ spl44_119
| spl44_359 ),
inference(forward_demodulation,[],[f5266,f1420]) ).
fof(f5266,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl44_359 ),
inference(avatar_component_clause,[],[f5264]) ).
fof(f7424,plain,
( spl44_516
| ~ spl44_267
| ~ spl44_363 ),
inference(avatar_split_clause,[],[f7158,f5280,f2181,f7421]) ).
fof(f7421,plain,
( spl44_516
<=> h3(e10) = op2(h3(e12),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_516])]) ).
fof(f5280,plain,
( spl44_363
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_363])]) ).
fof(f7158,plain,
( h3(e10) = op2(h3(e12),h3(e12))
| ~ spl44_267
| ~ spl44_363 ),
inference(forward_demodulation,[],[f5281,f2182]) ).
fof(f5281,plain,
( h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
| ~ spl44_363 ),
inference(avatar_component_clause,[],[f5280]) ).
fof(f7418,plain,
( spl44_515
| ~ spl44_262
| ~ spl44_358 ),
inference(avatar_split_clause,[],[f7157,f5260,f2158,f7415]) ).
fof(f7415,plain,
( spl44_515
<=> h3(e10) = op2(h3(e11),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_515])]) ).
fof(f7157,plain,
( h3(e10) = op2(h3(e11),h3(e11))
| ~ spl44_262
| ~ spl44_358 ),
inference(forward_demodulation,[],[f5261,f2159]) ).
fof(f5261,plain,
( h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
| ~ spl44_358 ),
inference(avatar_component_clause,[],[f5260]) ).
fof(f7412,plain,
( spl44_514
| ~ spl44_129
| ~ spl44_354 ),
inference(avatar_split_clause,[],[f7154,f5244,f1463,f7409]) ).
fof(f7409,plain,
( spl44_514
<=> h3(e11) = op2(h3(e10),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_514])]) ).
fof(f5244,plain,
( spl44_354
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_354])]) ).
fof(f7154,plain,
( h3(e11) = op2(h3(e10),h3(e11))
| ~ spl44_129
| ~ spl44_354 ),
inference(forward_demodulation,[],[f5245,f1465]) ).
fof(f5245,plain,
( h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
| ~ spl44_354 ),
inference(avatar_component_clause,[],[f5244]) ).
fof(f7407,plain,
( ~ spl44_513
| ~ spl44_263
| spl44_357 ),
inference(avatar_split_clause,[],[f7136,f5256,f2162,f7404]) ).
fof(f7404,plain,
( spl44_513
<=> h3(e11) = op2(h3(e11),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_513])]) ).
fof(f7136,plain,
( h3(e11) != op2(h3(e11),h3(e10))
| ~ spl44_263
| spl44_357 ),
inference(forward_demodulation,[],[f5258,f2164]) ).
fof(f7401,plain,
( spl44_512
| ~ spl44_268
| ~ spl44_361 ),
inference(avatar_split_clause,[],[f7133,f5272,f2185,f7398]) ).
fof(f7398,plain,
( spl44_512
<=> h3(e12) = op2(h3(e12),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_512])]) ).
fof(f5272,plain,
( spl44_361
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_361])]) ).
fof(f7133,plain,
( h3(e12) = op2(h3(e12),h3(e10))
| ~ spl44_268
| ~ spl44_361 ),
inference(forward_demodulation,[],[f5273,f2187]) ).
fof(f5273,plain,
( h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
| ~ spl44_361 ),
inference(avatar_component_clause,[],[f5272]) ).
fof(f7395,plain,
( spl44_511
| ~ spl44_131
| ~ spl44_353 ),
inference(avatar_split_clause,[],[f7132,f5240,f1472,f7392]) ).
fof(f7392,plain,
( spl44_511
<=> h3(e10) = op2(h3(e10),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_511])]) ).
fof(f5240,plain,
( spl44_353
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_353])]) ).
fof(f7132,plain,
( h3(e10) = op2(h3(e10),h3(e10))
| ~ spl44_131
| ~ spl44_353 ),
inference(forward_demodulation,[],[f5241,f1474]) ).
fof(f5241,plain,
( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
| ~ spl44_353 ),
inference(avatar_component_clause,[],[f5240]) ).
fof(f7390,plain,
( spl44_510
| ~ spl44_80
| ~ spl44_235
| ~ spl44_263
| ~ spl44_277
| ~ spl44_397 ),
inference(avatar_split_clause,[],[f7069,f5627,f2313,f2162,f2014,f1236,f7387]) ).
fof(f7069,plain,
( h2(e10) = op2(h2(e10),h2(e10))
| ~ spl44_80
| ~ spl44_235
| ~ spl44_263
| ~ spl44_277
| ~ spl44_397 ),
inference(forward_demodulation,[],[f7068,f6876]) ).
fof(f7068,plain,
( h2(e11) = op2(h2(e10),h2(e10))
| ~ spl44_80
| ~ spl44_235
| ~ spl44_263
| ~ spl44_277
| ~ spl44_397 ),
inference(forward_demodulation,[],[f7067,f2164]) ).
fof(f7067,plain,
( op2(h2(e10),h2(e10)) = h2(op1(e11,e10))
| ~ spl44_80
| ~ spl44_235
| ~ spl44_277
| ~ spl44_397 ),
inference(forward_demodulation,[],[f5628,f6876]) ).
fof(f7384,plain,
( spl44_509
| ~ spl44_262
| ~ spl44_398 ),
inference(avatar_split_clause,[],[f6862,f5631,f2158,f7381]) ).
fof(f7381,plain,
( spl44_509
<=> h2(e10) = op2(h2(e11),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_509])]) ).
fof(f5631,plain,
( spl44_398
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_398])]) ).
fof(f6862,plain,
( h2(e10) = op2(h2(e11),h2(e11))
| ~ spl44_262
| ~ spl44_398 ),
inference(forward_demodulation,[],[f5632,f2159]) ).
fof(f5632,plain,
( h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
| ~ spl44_398 ),
inference(avatar_component_clause,[],[f5631]) ).
fof(f7375,plain,
( spl44_508
| ~ spl44_129
| ~ spl44_394 ),
inference(avatar_split_clause,[],[f6861,f5615,f1463,f7372]) ).
fof(f6861,plain,
( h2(e11) = op2(h2(e10),h2(e11))
| ~ spl44_129
| ~ spl44_394 ),
inference(forward_demodulation,[],[f5616,f1465]) ).
fof(f7370,plain,
( ~ spl44_507
| ~ spl44_274
| spl44_367 ),
inference(avatar_split_clause,[],[f7166,f5296,f2286,f7367]) ).
fof(f7367,plain,
( spl44_507
<=> h3(e11) = op2(e23,h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_507])]) ).
fof(f5296,plain,
( spl44_367
<=> h3(op1(e13,e12)) = op2(e23,h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_367])]) ).
fof(f7166,plain,
( h3(e11) != op2(e23,h3(e12))
| ~ spl44_274
| spl44_367 ),
inference(forward_demodulation,[],[f5298,f2288]) ).
fof(f5298,plain,
( h3(op1(e13,e12)) != op2(e23,h3(e12))
| spl44_367 ),
inference(avatar_component_clause,[],[f5296]) ).
fof(f7365,plain,
( ~ spl44_506
| ~ spl44_308
| spl44_366 ),
inference(avatar_split_clause,[],[f7165,f5292,f4571,f7362]) ).
fof(f7362,plain,
( spl44_506
<=> h3(e12) = op2(e23,h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_506])]) ).
fof(f5292,plain,
( spl44_366
<=> h3(op1(e13,e11)) = op2(e23,h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_366])]) ).
fof(f7165,plain,
( h3(e12) != op2(e23,h3(e11))
| ~ spl44_308
| spl44_366 ),
inference(forward_demodulation,[],[f5294,f4573]) ).
fof(f5294,plain,
( h3(op1(e13,e11)) != op2(e23,h3(e11))
| spl44_366 ),
inference(avatar_component_clause,[],[f5292]) ).
fof(f7360,plain,
( ~ spl44_505
| ~ spl44_61
| spl44_364 ),
inference(avatar_split_clause,[],[f7164,f5284,f1141,f7357]) ).
fof(f7357,plain,
( spl44_505
<=> h3(e11) = op2(h3(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_505])]) ).
fof(f5284,plain,
( spl44_364
<=> h3(op1(e12,e13)) = op2(h3(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_364])]) ).
fof(f7164,plain,
( h3(e11) != op2(h3(e12),e23)
| ~ spl44_61
| spl44_364 ),
inference(forward_demodulation,[],[f5286,f1143]) ).
fof(f5286,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e23)
| spl44_364 ),
inference(avatar_component_clause,[],[f5284]) ).
fof(f7355,plain,
( ~ spl44_504
| ~ spl44_30
| ~ spl44_276
| spl44_362 ),
inference(avatar_split_clause,[],[f7163,f5276,f2305,f998,f7352]) ).
fof(f7352,plain,
( spl44_504
<=> e22 = op2(h3(e12),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_504])]) ).
fof(f5276,plain,
( spl44_362
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_362])]) ).
fof(f7163,plain,
( e22 != op2(h3(e12),h3(e11))
| ~ spl44_30
| ~ spl44_276
| spl44_362 ),
inference(forward_demodulation,[],[f7162,f1000]) ).
fof(f7162,plain,
( h3(e13) != op2(h3(e12),h3(e11))
| ~ spl44_276
| spl44_362 ),
inference(forward_demodulation,[],[f5278,f2307]) ).
fof(f5278,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl44_362 ),
inference(avatar_component_clause,[],[f5276]) ).
fof(f7348,plain,
( spl44_503
| ~ spl44_30
| ~ spl44_303
| ~ spl44_355 ),
inference(avatar_split_clause,[],[f7156,f5248,f4007,f998,f7345]) ).
fof(f7345,plain,
( spl44_503
<=> e22 = op2(h3(e10),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_503])]) ).
fof(f7156,plain,
( e22 = op2(h3(e10),h3(e12))
| ~ spl44_30
| ~ spl44_303
| ~ spl44_355 ),
inference(forward_demodulation,[],[f7155,f1000]) ).
fof(f7155,plain,
( h3(e13) = op2(h3(e10),h3(e12))
| ~ spl44_303
| ~ spl44_355 ),
inference(forward_demodulation,[],[f5249,f4009]) ).
fof(f7343,plain,
( ~ spl44_502
| ~ spl44_30
| ~ spl44_308
| spl44_380 ),
inference(avatar_split_clause,[],[f7151,f5447,f4571,f998,f7340]) ).
fof(f7340,plain,
( spl44_502
<=> h3(e12) = op2(e22,h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_502])]) ).
fof(f5447,plain,
( spl44_380
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_380])]) ).
fof(f7151,plain,
( h3(e12) != op2(e22,h3(e11))
| ~ spl44_30
| ~ spl44_308
| spl44_380 ),
inference(forward_demodulation,[],[f7150,f4573]) ).
fof(f7150,plain,
( h3(op1(e13,e11)) != op2(e22,h3(e11))
| ~ spl44_30
| spl44_380 ),
inference(forward_demodulation,[],[f5449,f1000]) ).
fof(f5449,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl44_380 ),
inference(avatar_component_clause,[],[f5447]) ).
fof(f7338,plain,
( ~ spl44_501
| ~ spl44_119
| spl44_373 ),
inference(avatar_split_clause,[],[f7143,f5419,f1418,f7335]) ).
fof(f7335,plain,
( spl44_501
<=> h3(e12) = op2(h3(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_501])]) ).
fof(f5419,plain,
( spl44_373
<=> h3(op1(e11,e12)) = op2(h3(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_373])]) ).
fof(f7143,plain,
( h3(e12) != op2(h3(e11),e23)
| ~ spl44_119
| spl44_373 ),
inference(forward_demodulation,[],[f5421,f1420]) ).
fof(f5421,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e23)
| spl44_373 ),
inference(avatar_component_clause,[],[f5419]) ).
fof(f7333,plain,
( ~ spl44_500
| ~ spl44_30
| ~ spl44_274
| spl44_391 ),
inference(avatar_split_clause,[],[f7142,f5562,f2286,f998,f7330]) ).
fof(f7330,plain,
( spl44_500
<=> h3(e11) = op2(e22,h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_500])]) ).
fof(f5562,plain,
( spl44_391
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_391])]) ).
fof(f7142,plain,
( h3(e11) != op2(e22,h3(e12))
| ~ spl44_30
| ~ spl44_274
| spl44_391 ),
inference(forward_demodulation,[],[f7141,f2288]) ).
fof(f7141,plain,
( h3(op1(e13,e12)) != op2(e22,h3(e12))
| ~ spl44_30
| spl44_391 ),
inference(forward_demodulation,[],[f5564,f1000]) ).
fof(f5564,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl44_391 ),
inference(avatar_component_clause,[],[f5562]) ).
fof(f7328,plain,
( ~ spl44_499
| ~ spl44_119
| spl44_386 ),
inference(avatar_split_clause,[],[f7137,f5542,f1418,f7325]) ).
fof(f7325,plain,
( spl44_499
<=> h3(e12) = op2(e23,h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_499])]) ).
fof(f5542,plain,
( spl44_386
<=> h3(op1(e11,e12)) = op2(e23,h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_386])]) ).
fof(f7137,plain,
( h3(e12) != op2(e23,h3(e12))
| ~ spl44_119
| spl44_386 ),
inference(forward_demodulation,[],[f5544,f1420]) ).
fof(f5544,plain,
( h3(op1(e11,e12)) != op2(e23,h3(e12))
| spl44_386 ),
inference(avatar_component_clause,[],[f5542]) ).
fof(f7322,plain,
( spl44_498
| ~ spl44_268
| ~ spl44_375 ),
inference(avatar_split_clause,[],[f6989,f5427,f2185,f7319]) ).
fof(f7319,plain,
( spl44_498
<=> h3(e12) = op2(e23,h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_498])]) ).
fof(f6989,plain,
( h3(e12) = op2(e23,h3(e10))
| ~ spl44_268
| ~ spl44_375 ),
inference(forward_demodulation,[],[f5428,f2187]) ).
fof(f7317,plain,
( ~ spl44_497
| ~ spl44_263
| spl44_384 ),
inference(avatar_split_clause,[],[f6984,f5534,f2162,f7314]) ).
fof(f7314,plain,
( spl44_497
<=> h3(e11) = op2(e23,h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_497])]) ).
fof(f5534,plain,
( spl44_384
<=> h3(op1(e11,e10)) = op2(e23,h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_384])]) ).
fof(f6984,plain,
( h3(e11) != op2(e23,h3(e10))
| ~ spl44_263
| spl44_384 ),
inference(forward_demodulation,[],[f5536,f2164]) ).
fof(f5536,plain,
( h3(op1(e11,e10)) != op2(e23,h3(e10))
| spl44_384 ),
inference(avatar_component_clause,[],[f5534]) ).
fof(f7312,plain,
( ~ spl44_496
| ~ spl44_129
| spl44_383 ),
inference(avatar_split_clause,[],[f6981,f5530,f1463,f7309]) ).
fof(f7309,plain,
( spl44_496
<=> h3(e11) = op2(h3(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_496])]) ).
fof(f6981,plain,
( h3(e11) != op2(h3(e10),e23)
| ~ spl44_129
| spl44_383 ),
inference(forward_demodulation,[],[f5532,f1465]) ).
fof(f7307,plain,
( ~ spl44_495
| ~ spl44_80
| ~ spl44_235
| ~ spl44_263
| ~ spl44_277
| spl44_425 ),
inference(avatar_split_clause,[],[f6938,f5897,f2313,f2162,f2014,f1236,f7304]) ).
fof(f7304,plain,
( spl44_495
<=> h2(e10) = op2(e23,h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_495])]) ).
fof(f6938,plain,
( h2(e10) != op2(e23,h2(e10))
| ~ spl44_80
| ~ spl44_235
| ~ spl44_263
| ~ spl44_277
| spl44_425 ),
inference(forward_demodulation,[],[f6937,f6876]) ).
fof(f7302,plain,
( ~ spl44_494
| ~ spl44_80
| ~ spl44_129
| ~ spl44_235
| ~ spl44_277
| spl44_424 ),
inference(avatar_split_clause,[],[f6936,f5893,f2313,f2014,f1463,f1236,f7299]) ).
fof(f7299,plain,
( spl44_494
<=> h2(e10) = op2(h2(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_494])]) ).
fof(f6936,plain,
( h2(e10) != op2(h2(e10),e23)
| ~ spl44_80
| ~ spl44_129
| ~ spl44_235
| ~ spl44_277
| spl44_424 ),
inference(forward_demodulation,[],[f6935,f6876]) ).
fof(f7297,plain,
( ~ spl44_493
| ~ spl44_165
| spl44_356 ),
inference(avatar_split_clause,[],[f6797,f5252,f1653,f7294]) ).
fof(f7294,plain,
( spl44_493
<=> h3(e12) = op2(h3(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_493])]) ).
fof(f5252,plain,
( spl44_356
<=> h3(op1(e10,e13)) = op2(h3(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_356])]) ).
fof(f6797,plain,
( h3(e12) != op2(h3(e10),e23)
| ~ spl44_165
| spl44_356 ),
inference(forward_demodulation,[],[f5254,f1655]) ).
fof(f5254,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e23)
| spl44_356 ),
inference(avatar_component_clause,[],[f5252]) ).
fof(f7292,plain,
( ~ spl44_492
| ~ spl44_80
| ~ spl44_235
| ~ spl44_277
| spl44_479 ),
inference(avatar_split_clause,[],[f7219,f7215,f2313,f2014,f1236,f7289]) ).
fof(f7289,plain,
( spl44_492
<=> e20 = op2(h2(e10),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_492])]) ).
fof(f7215,plain,
( spl44_479
<=> e20 = op2(h2(e11),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_479])]) ).
fof(f7219,plain,
( e20 != op2(h2(e10),e20)
| ~ spl44_80
| ~ spl44_235
| ~ spl44_277
| spl44_479 ),
inference(forward_demodulation,[],[f7217,f6876]) ).
fof(f7217,plain,
( e20 != op2(h2(e11),e20)
| spl44_479 ),
inference(avatar_component_clause,[],[f7215]) ).
fof(f7287,plain,
( ~ spl44_491
| ~ spl44_30
| ~ spl44_117
| spl44_360 ),
inference(avatar_split_clause,[],[f7161,f5268,f1409,f998,f7284]) ).
fof(f7284,plain,
( spl44_491
<=> e22 = op2(h3(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_491])]) ).
fof(f5268,plain,
( spl44_360
<=> h3(op1(e11,e13)) = op2(h3(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_360])]) ).
fof(f7161,plain,
( e22 != op2(h3(e11),e23)
| ~ spl44_30
| ~ spl44_117
| spl44_360 ),
inference(forward_demodulation,[],[f7160,f1000]) ).
fof(f7160,plain,
( h3(e13) != op2(h3(e11),e23)
| ~ spl44_117
| spl44_360 ),
inference(forward_demodulation,[],[f5270,f1411]) ).
fof(f5270,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e23)
| spl44_360 ),
inference(avatar_component_clause,[],[f5268]) ).
fof(f7282,plain,
( ~ spl44_490
| ~ spl44_30
| ~ spl44_276
| spl44_376 ),
inference(avatar_split_clause,[],[f7147,f5431,f2305,f998,f7279]) ).
fof(f7279,plain,
( spl44_490
<=> e22 = op2(e23,h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_490])]) ).
fof(f7147,plain,
( e22 != op2(e23,h3(e11))
| ~ spl44_30
| ~ spl44_276
| spl44_376 ),
inference(forward_demodulation,[],[f7146,f1000]) ).
fof(f7146,plain,
( h3(e13) != op2(e23,h3(e11))
| ~ spl44_276
| spl44_376 ),
inference(forward_demodulation,[],[f5433,f2307]) ).
fof(f7277,plain,
( ~ spl44_489
| ~ spl44_30
| ~ spl44_117
| spl44_374 ),
inference(avatar_split_clause,[],[f7145,f5423,f1409,f998,f7274]) ).
fof(f7274,plain,
( spl44_489
<=> e22 = op2(h3(e11),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_489])]) ).
fof(f7145,plain,
( e22 != op2(h3(e11),e22)
| ~ spl44_30
| ~ spl44_117
| spl44_374 ),
inference(forward_demodulation,[],[f7144,f1000]) ).
fof(f7144,plain,
( h3(e13) != op2(h3(e11),e22)
| ~ spl44_30
| ~ spl44_117
| spl44_374 ),
inference(forward_demodulation,[],[f5488,f1411]) ).
fof(f7272,plain,
( ~ spl44_488
| ~ spl44_30
| ~ spl44_276
| spl44_388 ),
inference(avatar_split_clause,[],[f7139,f5550,f2305,f998,f7269]) ).
fof(f7269,plain,
( spl44_488
<=> e22 = op2(h3(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_488])]) ).
fof(f5550,plain,
( spl44_388
<=> h3(op1(e12,e11)) = op2(h3(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_388])]) ).
fof(f7139,plain,
( e22 != op2(h3(e12),e23)
| ~ spl44_30
| ~ spl44_276
| spl44_388 ),
inference(forward_demodulation,[],[f7138,f1000]) ).
fof(f7138,plain,
( h3(e13) != op2(h3(e12),e23)
| ~ spl44_276
| spl44_388 ),
inference(forward_demodulation,[],[f5552,f2307]) ).
fof(f5552,plain,
( h3(op1(e12,e11)) != op2(h3(e12),e23)
| spl44_388 ),
inference(avatar_component_clause,[],[f5550]) ).
fof(f7264,plain,
( spl44_487
| ~ spl44_30
| ~ spl44_269
| ~ spl44_379 ),
inference(avatar_split_clause,[],[f7131,f5443,f2190,f998,f7261]) ).
fof(f7261,plain,
( spl44_487
<=> e22 = op2(e22,h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_487])]) ).
fof(f7131,plain,
( e22 = op2(e22,h3(e10))
| ~ spl44_30
| ~ spl44_269
| ~ spl44_379 ),
inference(forward_demodulation,[],[f7130,f1000]) ).
fof(f7130,plain,
( h3(e13) = op2(e22,h3(e10))
| ~ spl44_30
| ~ spl44_269
| ~ spl44_379 ),
inference(forward_demodulation,[],[f7129,f2192]) ).
fof(f7129,plain,
( h3(op1(e13,e10)) = op2(e22,h3(e10))
| ~ spl44_30
| ~ spl44_379 ),
inference(forward_demodulation,[],[f5444,f1000]) ).
fof(f7259,plain,
( ~ spl44_486
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_269
| spl44_419 ),
inference(avatar_split_clause,[],[f7066,f5811,f2190,f1126,f1117,f1003,f7256]) ).
fof(f7256,plain,
( spl44_486
<=> e20 = op2(e20,h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_486])]) ).
fof(f7066,plain,
( e20 != op2(e20,h2(e10))
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_269
| spl44_419 ),
inference(forward_demodulation,[],[f7065,f5208]) ).
fof(f7065,plain,
( e21 != op2(e20,h2(e10))
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_269
| spl44_419 ),
inference(forward_demodulation,[],[f7064,f1005]) ).
fof(f7064,plain,
( h2(e13) != op2(e20,h2(e10))
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_269
| spl44_419 ),
inference(forward_demodulation,[],[f7063,f2192]) ).
fof(f7063,plain,
( h2(op1(e13,e10)) != op2(e20,h2(e10))
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| spl44_419 ),
inference(forward_demodulation,[],[f7062,f5208]) ).
fof(f7254,plain,
( ~ spl44_485
| ~ spl44_56
| ~ spl44_58
| ~ spl44_268
| ~ spl44_277
| spl44_415 ),
inference(avatar_split_clause,[],[f7061,f5795,f2313,f2185,f1126,f1117,f7251]) ).
fof(f7251,plain,
( spl44_485
<=> e20 = op2(e23,h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_485])]) ).
fof(f7061,plain,
( e20 != op2(e23,h2(e10))
| ~ spl44_56
| ~ spl44_58
| ~ spl44_268
| ~ spl44_277
| spl44_415 ),
inference(forward_demodulation,[],[f7060,f5208]) ).
fof(f7060,plain,
( e21 != op2(e23,h2(e10))
| ~ spl44_268
| ~ spl44_277
| spl44_415 ),
inference(forward_demodulation,[],[f7059,f2315]) ).
fof(f7249,plain,
( ~ spl44_484
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_303
| spl44_411 ),
inference(avatar_split_clause,[],[f7058,f5779,f4007,f1126,f1117,f1003,f7246]) ).
fof(f7246,plain,
( spl44_484
<=> e20 = op2(h2(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_484])]) ).
fof(f7058,plain,
( e20 != op2(h2(e10),e23)
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_303
| spl44_411 ),
inference(forward_demodulation,[],[f7057,f5208]) ).
fof(f7242,plain,
( spl44_483
| ~ spl44_30
| ~ spl44_303
| ~ spl44_371 ),
inference(avatar_split_clause,[],[f6988,f5411,f4007,f998,f7239]) ).
fof(f6988,plain,
( e22 = op2(h3(e10),e23)
| ~ spl44_30
| ~ spl44_303
| ~ spl44_371 ),
inference(forward_demodulation,[],[f6987,f1000]) ).
fof(f6987,plain,
( h3(e13) = op2(h3(e10),e23)
| ~ spl44_303
| ~ spl44_371 ),
inference(forward_demodulation,[],[f5412,f4009]) ).
fof(f7236,plain,
( ~ spl44_482
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_117
| spl44_400 ),
inference(avatar_split_clause,[],[f6860,f5639,f1409,f1126,f1117,f1003,f7233]) ).
fof(f7233,plain,
( spl44_482
<=> e20 = op2(h2(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_482])]) ).
fof(f6860,plain,
( e20 != op2(h2(e11),e23)
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_117
| spl44_400 ),
inference(forward_demodulation,[],[f6859,f5208]) ).
fof(f7230,plain,
( ~ spl44_481
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_276
| ~ spl44_277
| spl44_402 ),
inference(avatar_split_clause,[],[f6857,f5647,f2313,f2305,f1126,f1117,f1003,f7227]) ).
fof(f7227,plain,
( spl44_481
<=> e20 = op2(e20,h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_481])]) ).
fof(f6857,plain,
( e20 != op2(e20,h2(e11))
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_276
| ~ spl44_277
| spl44_402 ),
inference(forward_demodulation,[],[f6856,f5208]) ).
fof(f6856,plain,
( e21 != op2(e20,h2(e11))
| ~ spl44_31
| ~ spl44_56
| ~ spl44_58
| ~ spl44_276
| ~ spl44_277
| spl44_402 ),
inference(forward_demodulation,[],[f6855,f1005]) ).
fof(f6855,plain,
( h2(e13) != op2(e20,h2(e11))
| ~ spl44_56
| ~ spl44_58
| ~ spl44_276
| ~ spl44_277
| spl44_402 ),
inference(forward_demodulation,[],[f6854,f2307]) ).
fof(f6854,plain,
( h2(op1(e12,e11)) != op2(e20,h2(e11))
| ~ spl44_56
| ~ spl44_58
| ~ spl44_277
| spl44_402 ),
inference(forward_demodulation,[],[f6853,f5208]) ).
fof(f6853,plain,
( h2(op1(e12,e11)) != op2(e21,h2(e11))
| ~ spl44_277
| spl44_402 ),
inference(forward_demodulation,[],[f5649,f2315]) ).
fof(f7224,plain,
( ~ spl44_480
| ~ spl44_56
| ~ spl44_58
| ~ spl44_277
| ~ spl44_308
| spl44_406 ),
inference(avatar_split_clause,[],[f6851,f5663,f4571,f2313,f1126,f1117,f7221]) ).
fof(f7221,plain,
( spl44_480
<=> e20 = op2(e23,h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_480])]) ).
fof(f6851,plain,
( e20 != op2(e23,h2(e11))
| ~ spl44_56
| ~ spl44_58
| ~ spl44_277
| ~ spl44_308
| spl44_406 ),
inference(forward_demodulation,[],[f6850,f5208]) ).
fof(f6850,plain,
( e21 != op2(e23,h2(e11))
| ~ spl44_277
| ~ spl44_308
| spl44_406 ),
inference(forward_demodulation,[],[f6849,f2315]) ).
fof(f7218,plain,
( ~ spl44_479
| ~ spl44_56
| ~ spl44_58
| ~ spl44_119
| ~ spl44_277
| spl44_399 ),
inference(avatar_split_clause,[],[f6836,f5635,f2313,f1418,f1126,f1117,f7215]) ).
fof(f6836,plain,
( e20 != op2(h2(e11),e20)
| ~ spl44_56
| ~ spl44_58
| ~ spl44_119
| ~ spl44_277
| spl44_399 ),
inference(forward_demodulation,[],[f6835,f5208]) ).
fof(f6835,plain,
( e21 != op2(h2(e11),e20)
| ~ spl44_56
| ~ spl44_58
| ~ spl44_119
| ~ spl44_277
| spl44_399 ),
inference(forward_demodulation,[],[f6834,f2315]) ).
fof(f6834,plain,
( h2(e12) != op2(h2(e11),e20)
| ~ spl44_56
| ~ spl44_58
| ~ spl44_119
| ~ spl44_277
| spl44_399 ),
inference(forward_demodulation,[],[f6763,f1420]) ).
fof(f6763,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e20)
| ~ spl44_56
| ~ spl44_58
| ~ spl44_277
| spl44_399 ),
inference(forward_demodulation,[],[f6762,f5208]) ).
fof(f7213,plain,
( ~ spl44_478
| ~ spl44_30
| ~ spl44_269
| spl44_365 ),
inference(avatar_split_clause,[],[f6791,f5288,f2190,f998,f7210]) ).
fof(f7210,plain,
( spl44_478
<=> e22 = op2(e23,h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_478])]) ).
fof(f5288,plain,
( spl44_365
<=> h3(op1(e13,e10)) = op2(e23,h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_365])]) ).
fof(f6791,plain,
( e22 != op2(e23,h3(e10))
| ~ spl44_30
| ~ spl44_269
| spl44_365 ),
inference(forward_demodulation,[],[f6790,f1000]) ).
fof(f6790,plain,
( h3(e13) != op2(e23,h3(e10))
| ~ spl44_269
| spl44_365 ),
inference(forward_demodulation,[],[f5290,f2192]) ).
fof(f5290,plain,
( h3(op1(e13,e10)) != op2(e23,h3(e10))
| spl44_365 ),
inference(avatar_component_clause,[],[f5288]) ).
fof(f7208,plain,
( ~ spl44_477
| ~ spl44_31
| ~ spl44_80
| ~ spl44_274
| ~ spl44_277
| spl44_432 ),
inference(avatar_split_clause,[],[f6626,f5925,f2313,f2286,f1236,f1003,f7205]) ).
fof(f7205,plain,
( spl44_477
<=> h2(e10) = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_477])]) ).
fof(f6626,plain,
( h2(e10) != h2(e11)
| ~ spl44_31
| ~ spl44_80
| ~ spl44_274
| ~ spl44_277
| spl44_432 ),
inference(forward_demodulation,[],[f6445,f1238]) ).
fof(f6445,plain,
( op2(e21,e21) != h2(e11)
| ~ spl44_31
| ~ spl44_274
| ~ spl44_277
| spl44_432 ),
inference(forward_demodulation,[],[f6444,f2288]) ).
fof(f6444,plain,
( op2(e21,e21) != h2(op1(e13,e12))
| ~ spl44_31
| ~ spl44_277
| spl44_432 ),
inference(forward_demodulation,[],[f5934,f1005]) ).
fof(f5934,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e21)
| ~ spl44_277
| spl44_432 ),
inference(forward_demodulation,[],[f5927,f2315]) ).
fof(f7189,plain,
( spl44_254
| ~ spl44_40
| ~ spl44_245
| ~ spl44_267
| ~ spl44_319 ),
inference(avatar_split_clause,[],[f5030,f4629,f2181,f2070,f1045,f2115]) ).
fof(f2115,plain,
( spl44_254
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_254])]) ).
fof(f4629,plain,
( spl44_319
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_319])]) ).
fof(f5030,plain,
( e20 = op2(e22,e22)
| ~ spl44_40
| ~ spl44_245
| ~ spl44_267
| ~ spl44_319 ),
inference(forward_demodulation,[],[f4725,f1046]) ).
fof(f4725,plain,
( op2(e22,e22) = h4(e10)
| ~ spl44_245
| ~ spl44_267
| ~ spl44_319 ),
inference(forward_demodulation,[],[f4724,f2182]) ).
fof(f4724,plain,
( op2(e22,e22) = h4(op1(e12,e12))
| ~ spl44_245
| ~ spl44_319 ),
inference(forward_demodulation,[],[f4630,f2072]) ).
fof(f4630,plain,
( h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
| ~ spl44_319 ),
inference(avatar_component_clause,[],[f4629]) ).
fof(f7177,plain,
( spl44_255
| ~ spl44_40
| ~ spl44_245
| ~ spl44_268
| ~ spl44_317 ),
inference(avatar_split_clause,[],[f4736,f4621,f2185,f2070,f1045,f2119]) ).
fof(f4621,plain,
( spl44_317
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_317])]) ).
fof(f4736,plain,
( e22 = op2(e22,e20)
| ~ spl44_40
| ~ spl44_245
| ~ spl44_268
| ~ spl44_317 ),
inference(forward_demodulation,[],[f4735,f2072]) ).
fof(f4735,plain,
( op2(e22,e20) = h4(e12)
| ~ spl44_40
| ~ spl44_245
| ~ spl44_268
| ~ spl44_317 ),
inference(forward_demodulation,[],[f4734,f2187]) ).
fof(f4734,plain,
( op2(e22,e20) = h4(op1(e12,e10))
| ~ spl44_40
| ~ spl44_245
| ~ spl44_317 ),
inference(forward_demodulation,[],[f4733,f2072]) ).
fof(f4733,plain,
( h4(op1(e12,e10)) = op2(h4(e12),e20)
| ~ spl44_40
| ~ spl44_317 ),
inference(forward_demodulation,[],[f4622,f1046]) ).
fof(f4622,plain,
( h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
| ~ spl44_317 ),
inference(avatar_component_clause,[],[f4621]) ).
fof(f7176,plain,
( ~ spl44_476
| ~ spl44_30
| ~ spl44_56
| ~ spl44_58
| ~ spl44_61
| ~ spl44_281
| spl44_378 ),
inference(avatar_split_clause,[],[f7149,f5439,f2416,f1141,f1126,f1117,f998,f7173]) ).
fof(f7173,plain,
( spl44_476
<=> e20 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_476])]) ).
fof(f7149,plain,
( e20 != h3(e11)
| ~ spl44_30
| ~ spl44_56
| ~ spl44_58
| ~ spl44_61
| ~ spl44_281
| spl44_378 ),
inference(forward_demodulation,[],[f7148,f5208]) ).
fof(f7148,plain,
( e21 != h3(e11)
| ~ spl44_30
| ~ spl44_61
| ~ spl44_281
| spl44_378 ),
inference(forward_demodulation,[],[f5476,f2418]) ).
fof(f7171,plain,
( ~ spl44_475
| ~ spl44_30
| ~ spl44_129
| ~ spl44_303
| ~ spl44_371
| spl44_383 ),
inference(avatar_split_clause,[],[f7134,f5530,f5411,f4007,f1463,f998,f7168]) ).
fof(f7134,plain,
( e22 != h3(e11)
| ~ spl44_30
| ~ spl44_129
| ~ spl44_303
| ~ spl44_371
| spl44_383 ),
inference(forward_demodulation,[],[f6981,f6988]) ).
fof(f7126,plain,
( spl44_46
| ~ spl44_59
| ~ spl44_267
| ~ spl44_306
| ~ spl44_363 ),
inference(avatar_split_clause,[],[f7094,f5280,f4200,f2181,f1131,f1072]) ).
fof(f7094,plain,
( e20 = h3(e10)
| ~ spl44_59
| ~ spl44_267
| ~ spl44_306
| ~ spl44_363 ),
inference(forward_demodulation,[],[f5383,f1133]) ).
fof(f5383,plain,
( op2(e23,e23) = h3(e10)
| ~ spl44_267
| ~ spl44_306
| ~ spl44_363 ),
inference(forward_demodulation,[],[f5382,f2182]) ).
fof(f5382,plain,
( op2(e23,e23) = h3(op1(e12,e12))
| ~ spl44_306
| ~ spl44_363 ),
inference(forward_demodulation,[],[f5281,f4202]) ).
fof(f7111,plain,
( spl44_52
| ~ spl44_59
| ~ spl44_60
| ~ spl44_408 ),
inference(avatar_split_clause,[],[f7071,f5671,f1136,f1131,f1099]) ).
fof(f5671,plain,
( spl44_408
<=> op2(e23,e23) = h2(op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_408])]) ).
fof(f7071,plain,
( e20 = h2(e10)
| ~ spl44_59
| ~ spl44_60
| ~ spl44_408 ),
inference(forward_demodulation,[],[f5746,f1133]) ).
fof(f5746,plain,
( op2(e23,e23) = h2(e10)
| ~ spl44_60
| ~ spl44_408 ),
inference(forward_demodulation,[],[f5672,f1138]) ).
fof(f5672,plain,
( op2(e23,e23) = h2(op1(e13,e13))
| ~ spl44_408 ),
inference(avatar_component_clause,[],[f5671]) ).
fof(f7091,plain,
( spl44_46
| ~ spl44_59
| ~ spl44_267
| ~ spl44_377 ),
inference(avatar_split_clause,[],[f6991,f5435,f2181,f1131,f1072]) ).
fof(f5435,plain,
( spl44_377
<=> op2(e23,e23) = h3(op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_377])]) ).
fof(f6991,plain,
( e20 = h3(e10)
| ~ spl44_59
| ~ spl44_267
| ~ spl44_377 ),
inference(forward_demodulation,[],[f5517,f1133]) ).
fof(f5517,plain,
( op2(e23,e23) = h3(e10)
| ~ spl44_267
| ~ spl44_377 ),
inference(forward_demodulation,[],[f5436,f2182]) ).
fof(f5436,plain,
( op2(e23,e23) = h3(op1(e12,e12))
| ~ spl44_377 ),
inference(avatar_component_clause,[],[f5435]) ).
fof(f7089,plain,
( ~ spl44_40
| ~ spl44_262
| spl44_346 ),
inference(avatar_split_clause,[],[f6974,f5076,f2158,f1045]) ).
fof(f5076,plain,
( spl44_346
<=> e20 = h4(op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_346])]) ).
fof(f6974,plain,
( e20 != h4(e10)
| ~ spl44_262
| spl44_346 ),
inference(forward_demodulation,[],[f5077,f2159]) ).
fof(f5077,plain,
( e20 != h4(op1(e11,e11))
| spl44_346 ),
inference(avatar_component_clause,[],[f5076]) ).
fof(f7053,plain,
( spl44_52
| ~ spl44_40
| ~ spl44_80
| ~ spl44_237
| ~ spl44_262
| ~ spl44_314 ),
inference(avatar_split_clause,[],[f6973,f4609,f2158,f2025,f1236,f1045,f1099]) ).
fof(f7017,plain,
( spl44_52
| ~ spl44_59
| ~ spl44_267
| ~ spl44_417 ),
inference(avatar_split_clause,[],[f6939,f5803,f2181,f1131,f1099]) ).
fof(f5803,plain,
( spl44_417
<=> op2(e23,e23) = h2(op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_417])]) ).
fof(f6939,plain,
( e20 = h2(e10)
| ~ spl44_59
| ~ spl44_267
| ~ spl44_417 ),
inference(forward_demodulation,[],[f5883,f1133]) ).
fof(f5883,plain,
( op2(e23,e23) = h2(e10)
| ~ spl44_267
| ~ spl44_417 ),
inference(forward_demodulation,[],[f5804,f2182]) ).
fof(f5804,plain,
( op2(e23,e23) = h2(op1(e12,e12))
| ~ spl44_417 ),
inference(avatar_component_clause,[],[f5803]) ).
fof(f7016,plain,
( ~ spl44_433
| ~ spl44_61
| ~ spl44_95
| ~ spl44_277
| spl44_404 ),
inference(avatar_split_clause,[],[f6852,f5655,f2313,f1309,f1141,f5929]) ).
fof(f5929,plain,
( spl44_433
<=> e23 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_433])]) ).
fof(f6852,plain,
( e23 != h2(e11)
| ~ spl44_61
| ~ spl44_95
| ~ spl44_277
| spl44_404 ),
inference(forward_demodulation,[],[f5692,f1311]) ).
fof(f5692,plain,
( op2(e21,e23) != h2(e11)
| ~ spl44_61
| ~ spl44_277
| spl44_404 ),
inference(forward_demodulation,[],[f5691,f1143]) ).
fof(f5691,plain,
( op2(e21,e23) != h2(op1(e12,e13))
| ~ spl44_277
| spl44_404 ),
inference(forward_demodulation,[],[f5657,f2315]) ).
fof(f7015,plain,
( ~ spl44_474
| ~ spl44_272
| ~ spl44_274
| ~ spl44_277
| spl44_407 ),
inference(avatar_split_clause,[],[f6848,f5667,f2313,f2286,f2265,f7012]) ).
fof(f7012,plain,
( spl44_474
<=> e22 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_474])]) ).
fof(f6848,plain,
( e22 != h2(e11)
| ~ spl44_272
| ~ spl44_274
| ~ spl44_277
| spl44_407 ),
inference(forward_demodulation,[],[f5683,f2267]) ).
fof(f5683,plain,
( op2(e23,e21) != h2(e11)
| ~ spl44_274
| ~ spl44_277
| spl44_407 ),
inference(forward_demodulation,[],[f5682,f2288]) ).
fof(f5682,plain,
( op2(e23,e21) != h2(op1(e13,e12))
| ~ spl44_277
| spl44_407 ),
inference(forward_demodulation,[],[f5669,f2315]) ).
fof(f6978,plain,
( spl44_46
| ~ spl44_59
| ~ spl44_60
| ~ spl44_368 ),
inference(avatar_split_clause,[],[f6799,f5300,f1136,f1131,f1072]) ).
fof(f5300,plain,
( spl44_368
<=> op2(e23,e23) = h3(op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_368])]) ).
fof(f6799,plain,
( e20 = h3(e10)
| ~ spl44_59
| ~ spl44_60
| ~ spl44_368 ),
inference(forward_demodulation,[],[f5374,f1133]) ).
fof(f5374,plain,
( op2(e23,e23) = h3(e10)
| ~ spl44_60
| ~ spl44_368 ),
inference(forward_demodulation,[],[f5301,f1138]) ).
fof(f5301,plain,
( op2(e23,e23) = h3(op1(e13,e13))
| ~ spl44_368 ),
inference(avatar_component_clause,[],[f5300]) ).
fof(f6975,plain,
( ~ spl44_237
| ~ spl44_263
| spl44_347 ),
inference(avatar_split_clause,[],[f6588,f5081,f2162,f2025]) ).
fof(f5081,plain,
( spl44_347
<=> e21 = h4(op1(e11,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_347])]) ).
fof(f6588,plain,
( e21 != h4(e11)
| ~ spl44_263
| spl44_347 ),
inference(forward_demodulation,[],[f5082,f2164]) ).
fof(f5082,plain,
( e21 != h4(op1(e11,e10))
| spl44_347 ),
inference(avatar_component_clause,[],[f5081]) ).
fof(f6932,plain,
( spl44_52
| ~ spl44_80
| ~ spl44_237
| ~ spl44_314
| ~ spl44_346 ),
inference(avatar_split_clause,[],[f6436,f5076,f4609,f2025,f1236,f1099]) ).
fof(f6436,plain,
( e20 = h2(e10)
| ~ spl44_80
| ~ spl44_237
| ~ spl44_314
| ~ spl44_346 ),
inference(forward_demodulation,[],[f5049,f5078]) ).
fof(f5078,plain,
( e20 = h4(op1(e11,e11))
| ~ spl44_346 ),
inference(avatar_component_clause,[],[f5076]) ).
fof(f6833,plain,
( spl44_52
| ~ spl44_59
| ~ spl44_262
| ~ spl44_426 ),
inference(avatar_split_clause,[],[f6379,f5901,f2158,f1131,f1099]) ).
fof(f6768,plain,
( spl44_46
| ~ spl44_59
| ~ spl44_262
| ~ spl44_385 ),
inference(avatar_split_clause,[],[f6336,f5538,f2158,f1131,f1072]) ).
fof(f6732,plain,
( spl44_1
| ~ spl44_59
| ~ spl44_80
| ~ spl44_119
| ~ spl44_235
| ~ spl44_262
| ~ spl44_277
| ~ spl44_289
| ~ spl44_399
| ~ spl44_426 ),
inference(avatar_split_clause,[],[f6684,f5901,f5635,f2618,f2313,f2158,f2014,f1418,f1236,f1131,f853]) ).
fof(f6684,plain,
( e20 = e21
| ~ spl44_59
| ~ spl44_80
| ~ spl44_119
| ~ spl44_235
| ~ spl44_262
| ~ spl44_277
| ~ spl44_289
| ~ spl44_399
| ~ spl44_426 ),
inference(forward_demodulation,[],[f6683,f2620]) ).
fof(f6683,plain,
( e21 = op2(e20,e21)
| ~ spl44_59
| ~ spl44_80
| ~ spl44_119
| ~ spl44_235
| ~ spl44_262
| ~ spl44_277
| ~ spl44_399
| ~ spl44_426 ),
inference(forward_demodulation,[],[f6682,f2315]) ).
fof(f6682,plain,
( op2(e20,e21) = h2(e12)
| ~ spl44_59
| ~ spl44_80
| ~ spl44_119
| ~ spl44_235
| ~ spl44_262
| ~ spl44_277
| ~ spl44_399
| ~ spl44_426 ),
inference(forward_demodulation,[],[f6681,f1420]) ).
fof(f6681,plain,
( op2(e20,e21) = h2(op1(e11,e12))
| ~ spl44_59
| ~ spl44_80
| ~ spl44_235
| ~ spl44_262
| ~ spl44_277
| ~ spl44_399
| ~ spl44_426 ),
inference(forward_demodulation,[],[f5758,f6628]) ).
fof(f6628,plain,
( e20 = h2(e11)
| ~ spl44_59
| ~ spl44_80
| ~ spl44_235
| ~ spl44_262
| ~ spl44_277
| ~ spl44_426 ),
inference(forward_demodulation,[],[f2805,f6379]) ).
fof(f2805,plain,
( h2(e10) = h2(e11)
| ~ spl44_80
| ~ spl44_235
| ~ spl44_277 ),
inference(forward_demodulation,[],[f2804,f1238]) ).
fof(f2804,plain,
( op2(e21,e21) = h2(e11)
| ~ spl44_235
| ~ spl44_277 ),
inference(superposition,[],[f2016,f2315]) ).
fof(f5758,plain,
( h2(op1(e11,e12)) = op2(h2(e11),e21)
| ~ spl44_277
| ~ spl44_399 ),
inference(forward_demodulation,[],[f5636,f2315]) ).
fof(f5636,plain,
( h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
| ~ spl44_399 ),
inference(avatar_component_clause,[],[f5635]) ).
fof(f6669,plain,
( spl44_1
| ~ spl44_40
| ~ spl44_56
| ~ spl44_237
| ~ spl44_239
| ~ spl44_263
| ~ spl44_297
| ~ spl44_313 ),
inference(avatar_split_clause,[],[f6587,f4605,f3659,f2162,f2036,f2025,f1117,f1045,f853]) ).
fof(f6587,plain,
( e20 = e21
| ~ spl44_40
| ~ spl44_56
| ~ spl44_237
| ~ spl44_239
| ~ spl44_263
| ~ spl44_297
| ~ spl44_313 ),
inference(forward_demodulation,[],[f6586,f5205]) ).
fof(f5205,plain,
( e20 = op2(e21,e20)
| ~ spl44_56
| ~ spl44_239
| ~ spl44_297 ),
inference(forward_demodulation,[],[f3571,f3661]) ).
fof(f3571,plain,
( op2(e21,e20) = h1(e12)
| ~ spl44_56
| ~ spl44_239 ),
inference(superposition,[],[f2038,f1118]) ).
fof(f6590,plain,
( spl44_1
| ~ spl44_119
| ~ spl44_277
| ~ spl44_289
| ~ spl44_307
| ~ spl44_399 ),
inference(avatar_split_clause,[],[f6553,f5635,f4558,f2618,f2313,f1418,f853]) ).
fof(f6553,plain,
( e20 = e21
| ~ spl44_119
| ~ spl44_277
| ~ spl44_289
| ~ spl44_307
| ~ spl44_399 ),
inference(forward_demodulation,[],[f6552,f2620]) ).
fof(f6552,plain,
( e21 = op2(e20,e21)
| ~ spl44_119
| ~ spl44_277
| ~ spl44_307
| ~ spl44_399 ),
inference(forward_demodulation,[],[f6551,f2315]) ).
fof(f6551,plain,
( op2(e20,e21) = h2(e12)
| ~ spl44_119
| ~ spl44_277
| ~ spl44_307
| ~ spl44_399 ),
inference(forward_demodulation,[],[f6550,f1420]) ).
fof(f6550,plain,
( op2(e20,e21) = h2(op1(e11,e12))
| ~ spl44_277
| ~ spl44_307
| ~ spl44_399 ),
inference(forward_demodulation,[],[f5758,f4560]) ).
fof(f6541,plain,
( spl44_1
| ~ spl44_40
| ~ spl44_56
| ~ spl44_237
| ~ spl44_239
| ~ spl44_297
| ~ spl44_313
| ~ spl44_347 ),
inference(avatar_split_clause,[],[f6484,f5081,f4605,f3659,f2036,f2025,f1117,f1045,f853]) ).
fof(f6484,plain,
( e20 = e21
| ~ spl44_40
| ~ spl44_56
| ~ spl44_237
| ~ spl44_239
| ~ spl44_297
| ~ spl44_313
| ~ spl44_347 ),
inference(forward_demodulation,[],[f5189,f5205]) ).
fof(f5189,plain,
( e21 = op2(e21,e20)
| ~ spl44_40
| ~ spl44_237
| ~ spl44_313
| ~ spl44_347 ),
inference(forward_demodulation,[],[f4752,f5083]) ).
fof(f5083,plain,
( e21 = h4(op1(e11,e10))
| ~ spl44_347 ),
inference(avatar_component_clause,[],[f5081]) ).
fof(f6492,plain,
( spl44_1
| ~ spl44_31
| ~ spl44_117
| ~ spl44_289
| ~ spl44_307
| ~ spl44_414 ),
inference(avatar_split_clause,[],[f6450,f5791,f4558,f2618,f1409,f1003,f853]) ).
fof(f6450,plain,
( e20 = e21
| ~ spl44_31
| ~ spl44_117
| ~ spl44_289
| ~ spl44_307
| ~ spl44_414 ),
inference(forward_demodulation,[],[f6449,f2620]) ).
fof(f6449,plain,
( e21 = op2(e20,e21)
| ~ spl44_31
| ~ spl44_117
| ~ spl44_307
| ~ spl44_414 ),
inference(forward_demodulation,[],[f6448,f1005]) ).
fof(f6448,plain,
( op2(e20,e21) = h2(e13)
| ~ spl44_31
| ~ spl44_117
| ~ spl44_307
| ~ spl44_414 ),
inference(forward_demodulation,[],[f6447,f1411]) ).
fof(f6447,plain,
( op2(e20,e21) = h2(op1(e11,e13))
| ~ spl44_31
| ~ spl44_307
| ~ spl44_414 ),
inference(forward_demodulation,[],[f5886,f4560]) ).
fof(f5886,plain,
( h2(op1(e11,e13)) = op2(h2(e11),e21)
| ~ spl44_31
| ~ spl44_414 ),
inference(forward_demodulation,[],[f5792,f1005]) ).
fof(f5792,plain,
( h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
| ~ spl44_414 ),
inference(avatar_component_clause,[],[f5791]) ).
fof(f6335,plain,
( spl44_1
| ~ spl44_56
| ~ spl44_239
| ~ spl44_253
| ~ spl44_297 ),
inference(avatar_split_clause,[],[f5207,f3659,f2109,f2036,f1117,f853]) ).
fof(f5207,plain,
( e20 = e21
| ~ spl44_56
| ~ spl44_239
| ~ spl44_253
| ~ spl44_297 ),
inference(forward_demodulation,[],[f3303,f3661]) ).
fof(f3303,plain,
( e21 = h1(e12)
| ~ spl44_56
| ~ spl44_239
| ~ spl44_253 ),
inference(forward_demodulation,[],[f2601,f2111]) ).
fof(f2111,plain,
( e21 = op2(e21,e20)
| ~ spl44_253 ),
inference(avatar_component_clause,[],[f2109]) ).
fof(f6331,plain,
( ~ spl44_59
| ~ spl44_58
| ~ spl44_262
| spl44_466 ),
inference(avatar_split_clause,[],[f6317,f6262,f2158,f1126,f1131]) ).
fof(f6317,plain,
( e20 != op2(e23,e23)
| ~ spl44_58
| ~ spl44_262
| spl44_466 ),
inference(forward_demodulation,[],[f6316,f1127]) ).
fof(f6326,plain,
( ~ spl44_325
| ~ spl44_29
| ~ spl44_274
| ~ spl44_297
| ~ spl44_345
| spl44_472 ),
inference(avatar_split_clause,[],[f6298,f6286,f5034,f3659,f2286,f993,f4770]) ).
fof(f6298,plain,
( e20 != op2(e20,e20)
| ~ spl44_29
| ~ spl44_274
| ~ spl44_297
| ~ spl44_345
| spl44_472 ),
inference(forward_demodulation,[],[f6297,f5036]) ).
fof(f6297,plain,
( op2(e20,e20) != h1(e11)
| ~ spl44_29
| ~ spl44_274
| ~ spl44_297
| spl44_472 ),
inference(forward_demodulation,[],[f6296,f2288]) ).
fof(f6296,plain,
( op2(e20,e20) != h1(op1(e13,e12))
| ~ spl44_29
| ~ spl44_297
| spl44_472 ),
inference(forward_demodulation,[],[f6295,f995]) ).
fof(f6295,plain,
( h1(op1(e13,e12)) != op2(h1(e13),e20)
| ~ spl44_297
| spl44_472 ),
inference(forward_demodulation,[],[f6288,f3661]) ).
fof(f6288,plain,
( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| spl44_472 ),
inference(avatar_component_clause,[],[f6286]) ).
fof(f6306,plain,
( ~ spl44_29
| ~ spl44_61
| ~ spl44_233
| spl44_470 ),
inference(avatar_contradiction_clause,[],[f6305]) ).
fof(f6305,plain,
( $false
| ~ spl44_29
| ~ spl44_61
| ~ spl44_233
| spl44_470 ),
inference(trivial_inequality_removal,[],[f6304]) ).
fof(f6304,plain,
( h1(e11) != h1(e11)
| ~ spl44_29
| ~ spl44_61
| ~ spl44_233
| spl44_470 ),
inference(forward_demodulation,[],[f6303,f1143]) ).
fof(f6303,plain,
( h1(e11) != h1(op1(e12,e13))
| ~ spl44_29
| ~ spl44_233
| spl44_470 ),
inference(forward_demodulation,[],[f6302,f2006]) ).
fof(f6302,plain,
( h1(op1(e12,e13)) != op2(h1(e12),e20)
| ~ spl44_29
| spl44_470 ),
inference(forward_demodulation,[],[f6280,f995]) ).
fof(f6280,plain,
( h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| spl44_470 ),
inference(avatar_component_clause,[],[f6278]) ).
fof(f6278,plain,
( spl44_470
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_470])]) ).
fof(f6293,plain,
( ~ spl44_434
| ~ spl44_464
| ~ spl44_436
| ~ spl44_452
| ~ spl44_465
| ~ spl44_466
| ~ spl44_467
| ~ spl44_468
| ~ spl44_442
| ~ spl44_469
| ~ spl44_444
| ~ spl44_470
| ~ spl44_459
| ~ spl44_471
| ~ spl44_472
| ~ spl44_462
| spl44_57
| spl44_55
| spl44_53
| ~ spl44_473 ),
inference(avatar_split_clause,[],[f660,f6290,f1104,f1113,f1122,f6181,f6286,f6282,f6169,f6278,f6011,f6274,f6003,f6270,f6266,f6262,f6258,f6141,f5979,f6254,f5971]) ).
fof(f6254,plain,
( spl44_464
<=> h1(op1(e10,e11)) = op2(h1(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_464])]) ).
fof(f6141,plain,
( spl44_452
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_452])]) ).
fof(f6270,plain,
( spl44_468
<=> h1(op1(e11,e13)) = op2(e23,h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_468])]) ).
fof(f6274,plain,
( spl44_469
<=> h1(op1(e12,e11)) = op2(h1(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_469])]) ).
fof(f6181,plain,
( spl44_462
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_462])]) ).
fof(f1122,plain,
( spl44_57
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_57])]) ).
fof(f1113,plain,
( spl44_55
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_55])]) ).
fof(f1104,plain,
( spl44_53
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_53])]) ).
fof(f660,plain,
( e23 != h1(e11)
| sP2
| sP1
| sP0
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),e23)
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),e23)
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(e23,h1(e13))
| h1(op1(e11,e12)) != op2(e23,h1(e12))
| op2(e23,e23) != h1(op1(e11,e11))
| h1(op1(e11,e10)) != op2(e23,h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),e23)
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(inner_rewriting,[],[f161]) ).
fof(f161,plain,
( e23 != h1(e11)
| sP2
| sP1
| sP0
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| sP11
| sP10
| sP9
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| sP8
| sP7
| sP6
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| sP5
| sP4
| sP3
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| sP2
| sP1
| sP0
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(definition_folding,[],[f20,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f21,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f31,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f6248,plain,
( ~ spl44_325
| ~ spl44_29
| ~ spl44_58
| ~ spl44_269
| spl44_459 ),
inference(avatar_split_clause,[],[f6203,f6169,f2190,f1126,f993,f4770]) ).
fof(f6203,plain,
( e20 != op2(e20,e20)
| ~ spl44_29
| ~ spl44_58
| ~ spl44_269
| spl44_459 ),
inference(forward_demodulation,[],[f6202,f995]) ).
fof(f6202,plain,
( op2(e20,e20) != h1(e13)
| ~ spl44_29
| ~ spl44_58
| ~ spl44_269
| spl44_459 ),
inference(forward_demodulation,[],[f6201,f2192]) ).
fof(f6201,plain,
( op2(e20,e20) != h1(op1(e13,e10))
| ~ spl44_29
| ~ spl44_58
| spl44_459 ),
inference(forward_demodulation,[],[f6200,f995]) ).
fof(f6200,plain,
( h1(op1(e13,e10)) != op2(h1(e13),e20)
| ~ spl44_58
| spl44_459 ),
inference(forward_demodulation,[],[f6171,f1127]) ).
fof(f6171,plain,
( h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| spl44_459 ),
inference(avatar_component_clause,[],[f6169]) ).
fof(f6243,plain,
( ~ spl44_325
| ~ spl44_29
| ~ spl44_297
| ~ spl44_308
| ~ spl44_345
| spl44_460 ),
inference(avatar_split_clause,[],[f6199,f6173,f5034,f4571,f3659,f993,f4770]) ).
fof(f6199,plain,
( e20 != op2(e20,e20)
| ~ spl44_29
| ~ spl44_297
| ~ spl44_308
| ~ spl44_345
| spl44_460 ),
inference(forward_demodulation,[],[f6198,f3661]) ).
fof(f6198,plain,
( op2(e20,e20) != h1(e12)
| ~ spl44_29
| ~ spl44_308
| ~ spl44_345
| spl44_460 ),
inference(forward_demodulation,[],[f6197,f4573]) ).
fof(f6197,plain,
( op2(e20,e20) != h1(op1(e13,e11))
| ~ spl44_29
| ~ spl44_345
| spl44_460 ),
inference(forward_demodulation,[],[f6196,f995]) ).
fof(f6196,plain,
( h1(op1(e13,e11)) != op2(h1(e13),e20)
| ~ spl44_345
| spl44_460 ),
inference(forward_demodulation,[],[f6175,f5036]) ).
fof(f6238,plain,
( ~ spl44_325
| ~ spl44_29
| ~ spl44_117
| ~ spl44_345
| spl44_454 ),
inference(avatar_split_clause,[],[f6218,f6149,f5034,f1409,f993,f4770]) ).
fof(f6149,plain,
( spl44_454
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_454])]) ).
fof(f6218,plain,
( e20 != op2(e20,e20)
| ~ spl44_29
| ~ spl44_117
| ~ spl44_345
| spl44_454 ),
inference(forward_demodulation,[],[f6217,f995]) ).
fof(f6217,plain,
( op2(e20,e20) != h1(e13)
| ~ spl44_29
| ~ spl44_117
| ~ spl44_345
| spl44_454 ),
inference(forward_demodulation,[],[f6216,f1411]) ).
fof(f6216,plain,
( op2(e20,e20) != h1(op1(e11,e13))
| ~ spl44_29
| ~ spl44_345
| spl44_454 ),
inference(forward_demodulation,[],[f6215,f5036]) ).
fof(f6215,plain,
( h1(op1(e11,e13)) != op2(h1(e11),e20)
| ~ spl44_29
| spl44_454 ),
inference(forward_demodulation,[],[f6151,f995]) ).
fof(f6151,plain,
( h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| spl44_454 ),
inference(avatar_component_clause,[],[f6149]) ).
fof(f6235,plain,
( ~ spl44_59
| ~ spl44_58
| ~ spl44_267
| spl44_457 ),
inference(avatar_split_clause,[],[f6208,f6161,f2181,f1126,f1131]) ).
fof(f6208,plain,
( e20 != op2(e23,e23)
| ~ spl44_58
| ~ spl44_267
| spl44_457 ),
inference(forward_demodulation,[],[f6207,f1127]) ).
fof(f6207,plain,
( op2(e23,e23) != h1(e10)
| ~ spl44_267
| spl44_457 ),
inference(forward_demodulation,[],[f6163,f2182]) ).
fof(f6163,plain,
( op2(e23,e23) != h1(op1(e12,e12))
| spl44_457 ),
inference(avatar_component_clause,[],[f6161]) ).
fof(f6232,plain,
( ~ spl44_325
| ~ spl44_29
| ~ spl44_58
| ~ spl44_60
| spl44_462 ),
inference(avatar_split_clause,[],[f6192,f6181,f1136,f1126,f993,f4770]) ).
fof(f6192,plain,
( e20 != op2(e20,e20)
| ~ spl44_29
| ~ spl44_58
| ~ spl44_60
| spl44_462 ),
inference(forward_demodulation,[],[f6191,f1127]) ).
fof(f6191,plain,
( op2(e20,e20) != h1(e10)
| ~ spl44_29
| ~ spl44_60
| spl44_462 ),
inference(forward_demodulation,[],[f6190,f1138]) ).
fof(f6190,plain,
( op2(e20,e20) != h1(op1(e13,e13))
| ~ spl44_29
| spl44_462 ),
inference(forward_demodulation,[],[f6183,f995]) ).
fof(f6183,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl44_462 ),
inference(avatar_component_clause,[],[f6181]) ).
fof(f6226,plain,
( ~ spl44_29
| ~ spl44_165
| ~ spl44_239
| spl44_452 ),
inference(avatar_contradiction_clause,[],[f6225]) ).
fof(f6225,plain,
( $false
| ~ spl44_29
| ~ spl44_165
| ~ spl44_239
| spl44_452 ),
inference(trivial_inequality_removal,[],[f6224]) ).
fof(f6224,plain,
( h1(e12) != h1(e12)
| ~ spl44_29
| ~ spl44_165
| ~ spl44_239
| spl44_452 ),
inference(forward_demodulation,[],[f6223,f1655]) ).
fof(f6223,plain,
( h1(e12) != h1(op1(e10,e13))
| ~ spl44_29
| ~ spl44_239
| spl44_452 ),
inference(forward_demodulation,[],[f6222,f2038]) ).
fof(f6222,plain,
( h1(op1(e10,e13)) != op2(h1(e10),e20)
| ~ spl44_29
| spl44_452 ),
inference(forward_demodulation,[],[f6143,f995]) ).
fof(f6143,plain,
( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| spl44_452 ),
inference(avatar_component_clause,[],[f6141]) ).
fof(f6188,plain,
( ~ spl44_434
| ~ spl44_435
| ~ spl44_451
| ~ spl44_452
| ~ spl44_438
| ~ spl44_439
| ~ spl44_453
| ~ spl44_454
| ~ spl44_455
| ~ spl44_456
| ~ spl44_457
| ~ spl44_458
| ~ spl44_459
| ~ spl44_460
| ~ spl44_461
| ~ spl44_462
| spl44_57
| spl44_55
| spl44_53
| ~ spl44_463 ),
inference(avatar_split_clause,[],[f659,f6185,f1104,f1113,f1122,f6181,f6177,f6173,f6169,f6165,f6161,f6157,f6153,f6149,f6145,f5991,f5987,f6141,f6137,f5975,f5971]) ).
fof(f6157,plain,
( spl44_456
<=> h1(op1(e12,e11)) = op2(e23,h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_456])]) ).
fof(f6165,plain,
( spl44_458
<=> h1(op1(e12,e13)) = op2(e23,h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_458])]) ).
fof(f6177,plain,
( spl44_461
<=> h1(op1(e13,e12)) = op2(h1(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_461])]) ).
fof(f659,plain,
( e23 != h1(e12)
| sP2
| sP1
| sP0
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),e23)
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(e23,h1(e13))
| op2(e23,e23) != h1(op1(e12,e12))
| h1(op1(e12,e11)) != op2(e23,h1(e11))
| h1(op1(e12,e10)) != op2(e23,h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),e23)
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),e23)
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(inner_rewriting,[],[f162]) ).
fof(f162,plain,
( e23 != h1(e12)
| sP2
| sP1
| sP0
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f6133,plain,
( ~ spl44_325
| ~ spl44_58
| ~ spl44_262
| ~ spl44_345
| spl44_439 ),
inference(avatar_split_clause,[],[f6074,f5991,f5034,f2158,f1126,f4770]) ).
fof(f6074,plain,
( e20 != op2(e20,e20)
| ~ spl44_58
| ~ spl44_262
| ~ spl44_345
| spl44_439 ),
inference(forward_demodulation,[],[f6073,f1127]) ).
fof(f6073,plain,
( op2(e20,e20) != h1(e10)
| ~ spl44_262
| ~ spl44_345
| spl44_439 ),
inference(forward_demodulation,[],[f6072,f2159]) ).
fof(f6072,plain,
( op2(e20,e20) != h1(op1(e11,e11))
| ~ spl44_345
| spl44_439 ),
inference(forward_demodulation,[],[f5993,f5036]) ).
fof(f6132,plain,
( ~ spl44_348
| ~ spl44_56
| ~ spl44_129
| ~ spl44_239
| ~ spl44_253
| ~ spl44_297
| spl44_340 ),
inference(avatar_split_clause,[],[f5756,f4956,f3659,f2109,f2036,f1463,f1117,f5116]) ).
fof(f5116,plain,
( spl44_348
<=> e20 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_348])]) ).
fof(f5756,plain,
( e20 != h4(e11)
| ~ spl44_56
| ~ spl44_129
| ~ spl44_239
| ~ spl44_253
| ~ spl44_297
| spl44_340 ),
inference(forward_demodulation,[],[f5212,f5207]) ).
fof(f6127,plain,
( ~ spl44_325
| ~ spl44_58
| ~ spl44_263
| ~ spl44_345
| spl44_438 ),
inference(avatar_split_clause,[],[f6078,f5987,f5034,f2162,f1126,f4770]) ).
fof(f6078,plain,
( e20 != op2(e20,e20)
| ~ spl44_58
| ~ spl44_263
| ~ spl44_345
| spl44_438 ),
inference(forward_demodulation,[],[f6077,f5036]) ).
fof(f6077,plain,
( op2(e20,e20) != h1(e11)
| ~ spl44_58
| ~ spl44_263
| ~ spl44_345
| spl44_438 ),
inference(forward_demodulation,[],[f6076,f2164]) ).
fof(f6076,plain,
( op2(e20,e20) != h1(op1(e11,e10))
| ~ spl44_58
| ~ spl44_345
| spl44_438 ),
inference(forward_demodulation,[],[f6075,f5036]) ).
fof(f6075,plain,
( h1(op1(e11,e10)) != op2(h1(e11),e20)
| ~ spl44_58
| spl44_438 ),
inference(forward_demodulation,[],[f5989,f1127]) ).
fof(f6122,plain,
( ~ spl44_325
| ~ spl44_119
| ~ spl44_297
| ~ spl44_345
| spl44_440 ),
inference(avatar_split_clause,[],[f6071,f5995,f5034,f3659,f1418,f4770]) ).
fof(f6071,plain,
( e20 != op2(e20,e20)
| ~ spl44_119
| ~ spl44_297
| ~ spl44_345
| spl44_440 ),
inference(forward_demodulation,[],[f6070,f3661]) ).
fof(f6070,plain,
( op2(e20,e20) != h1(e12)
| ~ spl44_119
| ~ spl44_297
| ~ spl44_345
| spl44_440 ),
inference(forward_demodulation,[],[f6069,f1420]) ).
fof(f6119,plain,
( ~ spl44_325
| ~ spl44_58
| ~ spl44_131
| spl44_434 ),
inference(avatar_split_clause,[],[f6092,f5971,f1472,f1126,f4770]) ).
fof(f6092,plain,
( e20 != op2(e20,e20)
| ~ spl44_58
| ~ spl44_131
| spl44_434 ),
inference(forward_demodulation,[],[f6091,f1127]) ).
fof(f6091,plain,
( op2(e20,e20) != h1(e10)
| ~ spl44_58
| ~ spl44_131
| spl44_434 ),
inference(forward_demodulation,[],[f6090,f1474]) ).
fof(f6090,plain,
( op2(e20,e20) != h1(op1(e10,e10))
| ~ spl44_58
| spl44_434 ),
inference(forward_demodulation,[],[f5973,f1127]) ).
fof(f5973,plain,
( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| spl44_434 ),
inference(avatar_component_clause,[],[f5971]) ).
fof(f6116,plain,
( ~ spl44_325
| ~ spl44_58
| ~ spl44_267
| ~ spl44_297
| spl44_444 ),
inference(avatar_split_clause,[],[f6056,f6011,f3659,f2181,f1126,f4770]) ).
fof(f6056,plain,
( e20 != op2(e20,e20)
| ~ spl44_58
| ~ spl44_267
| ~ spl44_297
| spl44_444 ),
inference(forward_demodulation,[],[f6055,f1127]) ).
fof(f6055,plain,
( op2(e20,e20) != h1(e10)
| ~ spl44_267
| ~ spl44_297
| spl44_444 ),
inference(forward_demodulation,[],[f6054,f2182]) ).
fof(f6054,plain,
( op2(e20,e20) != h1(op1(e12,e12))
| ~ spl44_297
| spl44_444 ),
inference(forward_demodulation,[],[f6013,f3661]) ).
fof(f6013,plain,
( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| spl44_444 ),
inference(avatar_component_clause,[],[f6011]) ).
fof(f6113,plain,
( ~ spl44_59
| ~ spl44_58
| ~ spl44_60
| spl44_449 ),
inference(avatar_split_clause,[],[f6041,f6031,f1136,f1126,f1131]) ).
fof(f6041,plain,
( e20 != op2(e23,e23)
| ~ spl44_58
| ~ spl44_60
| spl44_449 ),
inference(forward_demodulation,[],[f6040,f1127]) ).
fof(f6040,plain,
( op2(e23,e23) != h1(e10)
| ~ spl44_60
| spl44_449 ),
inference(forward_demodulation,[],[f6033,f1138]) ).
fof(f6033,plain,
( op2(e23,e23) != h1(op1(e13,e13))
| spl44_449 ),
inference(avatar_component_clause,[],[f6031]) ).
fof(f6108,plain,
( ~ spl44_345
| ~ spl44_129
| ~ spl44_239
| ~ spl44_297
| ~ spl44_345
| spl44_435 ),
inference(avatar_split_clause,[],[f6089,f5975,f5034,f3659,f2036,f1463,f5034]) ).
fof(f6089,plain,
( e20 != h1(e11)
| ~ spl44_129
| ~ spl44_239
| ~ spl44_297
| ~ spl44_345
| spl44_435 ),
inference(forward_demodulation,[],[f6088,f3661]) ).
fof(f6088,plain,
( h1(e11) != h1(e12)
| ~ spl44_129
| ~ spl44_239
| ~ spl44_345
| spl44_435 ),
inference(forward_demodulation,[],[f6087,f1465]) ).
fof(f6087,plain,
( h1(e12) != h1(op1(e10,e11))
| ~ spl44_239
| ~ spl44_345
| spl44_435 ),
inference(forward_demodulation,[],[f6086,f2038]) ).
fof(f6086,plain,
( h1(op1(e10,e11)) != op2(h1(e10),e20)
| ~ spl44_345
| spl44_435 ),
inference(forward_demodulation,[],[f5977,f5036]) ).
fof(f6103,plain,
( ~ spl44_29
| ~ spl44_239
| ~ spl44_297
| ~ spl44_303
| spl44_436 ),
inference(avatar_split_clause,[],[f6085,f5979,f4007,f3659,f2036,f993]) ).
fof(f6085,plain,
( e20 != h1(e13)
| ~ spl44_239
| ~ spl44_297
| ~ spl44_303
| spl44_436 ),
inference(forward_demodulation,[],[f6084,f3661]) ).
fof(f6084,plain,
( h1(e13) != h1(e12)
| ~ spl44_239
| ~ spl44_297
| ~ spl44_303
| spl44_436 ),
inference(forward_demodulation,[],[f6083,f4009]) ).
fof(f6083,plain,
( h1(e12) != h1(op1(e10,e12))
| ~ spl44_239
| ~ spl44_297
| spl44_436 ),
inference(forward_demodulation,[],[f6082,f2038]) ).
fof(f6082,plain,
( h1(op1(e10,e12)) != op2(h1(e10),e20)
| ~ spl44_297
| spl44_436 ),
inference(forward_demodulation,[],[f5981,f3661]) ).
fof(f6098,plain,
( ~ spl44_345
| ~ spl44_58
| ~ spl44_233
| ~ spl44_268
| ~ spl44_297
| spl44_442 ),
inference(avatar_split_clause,[],[f6064,f6003,f3659,f2185,f2004,f1126,f5034]) ).
fof(f6064,plain,
( e20 != h1(e11)
| ~ spl44_58
| ~ spl44_233
| ~ spl44_268
| ~ spl44_297
| spl44_442 ),
inference(forward_demodulation,[],[f6063,f3661]) ).
fof(f6063,plain,
( h1(e11) != h1(e12)
| ~ spl44_58
| ~ spl44_233
| ~ spl44_268
| spl44_442 ),
inference(forward_demodulation,[],[f6062,f2187]) ).
fof(f6062,plain,
( h1(e11) != h1(op1(e12,e10))
| ~ spl44_58
| ~ spl44_233
| spl44_442 ),
inference(forward_demodulation,[],[f6061,f2006]) ).
fof(f6061,plain,
( h1(op1(e12,e10)) != op2(h1(e12),e20)
| ~ spl44_58
| spl44_442 ),
inference(forward_demodulation,[],[f6005,f1127]) ).
fof(f6005,plain,
( h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| spl44_442 ),
inference(avatar_component_clause,[],[f6003]) ).
fof(f6093,plain,
( ~ spl44_29
| ~ spl44_233
| ~ spl44_276
| ~ spl44_345
| spl44_443 ),
inference(avatar_split_clause,[],[f6060,f6007,f5034,f2305,f2004,f993]) ).
fof(f6060,plain,
( e20 != h1(e13)
| ~ spl44_233
| ~ spl44_276
| ~ spl44_345
| spl44_443 ),
inference(forward_demodulation,[],[f6059,f5036]) ).
fof(f6059,plain,
( h1(e13) != h1(e11)
| ~ spl44_233
| ~ spl44_276
| ~ spl44_345
| spl44_443 ),
inference(forward_demodulation,[],[f6058,f2307]) ).
fof(f6058,plain,
( h1(e11) != h1(op1(e12,e11))
| ~ spl44_233
| ~ spl44_345
| spl44_443 ),
inference(forward_demodulation,[],[f6057,f2006]) ).
fof(f6057,plain,
( h1(op1(e12,e11)) != op2(h1(e12),e20)
| ~ spl44_345
| spl44_443 ),
inference(forward_demodulation,[],[f6009,f5036]) ).
fof(f6038,plain,
( ~ spl44_434
| ~ spl44_435
| ~ spl44_436
| ~ spl44_437
| ~ spl44_438
| ~ spl44_439
| ~ spl44_440
| ~ spl44_441
| ~ spl44_442
| ~ spl44_443
| ~ spl44_444
| ~ spl44_445
| ~ spl44_446
| ~ spl44_447
| ~ spl44_448
| ~ spl44_449
| spl44_57
| spl44_55
| spl44_53
| ~ spl44_450 ),
inference(avatar_split_clause,[],[f658,f6035,f1104,f1113,f1122,f6031,f6027,f6023,f6019,f6015,f6011,f6007,f6003,f5999,f5995,f5991,f5987,f5983,f5979,f5975,f5971]) ).
fof(f6015,plain,
( spl44_445
<=> h1(op1(e12,e13)) = op2(h1(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_445])]) ).
fof(f6019,plain,
( spl44_446
<=> h1(op1(e13,e10)) = op2(e23,h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_446])]) ).
fof(f6035,plain,
( spl44_450
<=> e23 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_450])]) ).
fof(f658,plain,
( e23 != h1(e13)
| sP2
| sP1
| sP0
| op2(e23,e23) != h1(op1(e13,e13))
| h1(op1(e13,e12)) != op2(e23,h1(e12))
| h1(op1(e13,e11)) != op2(e23,h1(e11))
| h1(op1(e13,e10)) != op2(e23,h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),e23)
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),e23)
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),e23)
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(inner_rewriting,[],[f163]) ).
fof(f163,plain,
( e23 != h1(e13)
| sP2
| sP1
| sP0
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f5966,plain,
( ~ spl44_59
| ~ spl44_52
| ~ spl44_262
| spl44_426 ),
inference(avatar_split_clause,[],[f5957,f5901,f2158,f1099,f1131]) ).
fof(f5957,plain,
( e20 != op2(e23,e23)
| ~ spl44_52
| ~ spl44_262
| spl44_426 ),
inference(forward_demodulation,[],[f5956,f1100]) ).
fof(f5956,plain,
( op2(e23,e23) != h2(e10)
| ~ spl44_262
| spl44_426 ),
inference(forward_demodulation,[],[f5903,f2159]) ).
fof(f5903,plain,
( op2(e23,e23) != h2(op1(e11,e11))
| spl44_426 ),
inference(avatar_component_clause,[],[f5901]) ).
fof(f5946,plain,
( ~ spl44_31
| ~ spl44_61
| ~ spl44_235
| spl44_430 ),
inference(avatar_contradiction_clause,[],[f5945]) ).
fof(f5945,plain,
( $false
| ~ spl44_31
| ~ spl44_61
| ~ spl44_235
| spl44_430 ),
inference(trivial_inequality_removal,[],[f5944]) ).
fof(f5944,plain,
( h2(e11) != h2(e11)
| ~ spl44_31
| ~ spl44_61
| ~ spl44_235
| spl44_430 ),
inference(forward_demodulation,[],[f5943,f1143]) ).
fof(f5943,plain,
( h2(e11) != h2(op1(e12,e13))
| ~ spl44_31
| ~ spl44_235
| spl44_430 ),
inference(forward_demodulation,[],[f5942,f2016]) ).
fof(f5942,plain,
( h2(op1(e12,e13)) != op2(h2(e12),e21)
| ~ spl44_31
| spl44_430 ),
inference(forward_demodulation,[],[f5919,f1005]) ).
fof(f5919,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl44_430 ),
inference(avatar_component_clause,[],[f5917]) ).
fof(f5917,plain,
( spl44_430
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_430])]) ).
fof(f5932,plain,
( ~ spl44_393
| ~ spl44_424
| ~ spl44_395
| ~ spl44_412
| ~ spl44_425
| ~ spl44_426
| ~ spl44_427
| ~ spl44_428
| ~ spl44_401
| ~ spl44_429
| ~ spl44_403
| ~ spl44_430
| ~ spl44_419
| ~ spl44_431
| ~ spl44_432
| ~ spl44_422
| spl44_51
| spl44_49
| spl44_47
| ~ spl44_433 ),
inference(avatar_split_clause,[],[f656,f5929,f1077,f1086,f1095,f5823,f5925,f5921,f5811,f5917,f5651,f5913,f5643,f5909,f5905,f5901,f5897,f5783,f5619,f5893,f5611]) ).
fof(f5783,plain,
( spl44_412
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_412])]) ).
fof(f5823,plain,
( spl44_422
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_422])]) ).
fof(f1095,plain,
( spl44_51
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_51])]) ).
fof(f1086,plain,
( spl44_49
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_49])]) ).
fof(f1077,plain,
( spl44_47
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_47])]) ).
fof(f656,plain,
( e23 != h2(e11)
| sP5
| sP4
| sP3
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),e23)
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),e23)
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(e23,h2(e13))
| h2(op1(e11,e12)) != op2(e23,h2(e12))
| op2(e23,e23) != h2(op1(e11,e11))
| h2(op1(e11,e10)) != op2(e23,h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),e23)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(inner_rewriting,[],[f165]) ).
fof(f165,plain,
( e23 != h2(e11)
| sP5
| sP4
| sP3
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f5885,plain,
( ~ spl44_325
| ~ spl44_31
| ~ spl44_56
| ~ spl44_117
| ~ spl44_239
| ~ spl44_253
| ~ spl44_297
| ~ spl44_307
| spl44_414 ),
inference(avatar_split_clause,[],[f5865,f5791,f4558,f3659,f2109,f2036,f1409,f1117,f1003,f4770]) ).
fof(f5865,plain,
( e20 != op2(e20,e20)
| ~ spl44_31
| ~ spl44_56
| ~ spl44_117
| ~ spl44_239
| ~ spl44_253
| ~ spl44_297
| ~ spl44_307
| spl44_414 ),
inference(forward_demodulation,[],[f5864,f5207]) ).
fof(f5864,plain,
( op2(e20,e20) != e21
| ~ spl44_31
| ~ spl44_56
| ~ spl44_117
| ~ spl44_239
| ~ spl44_253
| ~ spl44_297
| ~ spl44_307
| spl44_414 ),
inference(forward_demodulation,[],[f5863,f1005]) ).
fof(f5863,plain,
( op2(e20,e20) != h2(e13)
| ~ spl44_31
| ~ spl44_56
| ~ spl44_117
| ~ spl44_239
| ~ spl44_253
| ~ spl44_297
| ~ spl44_307
| spl44_414 ),
inference(forward_demodulation,[],[f5862,f1411]) ).
fof(f5862,plain,
( op2(e20,e20) != h2(op1(e11,e13))
| ~ spl44_31
| ~ spl44_56
| ~ spl44_239
| ~ spl44_253
| ~ spl44_297
| ~ spl44_307
| spl44_414 ),
inference(forward_demodulation,[],[f5861,f4560]) ).
fof(f5861,plain,
( h2(op1(e11,e13)) != op2(h2(e11),e20)
| ~ spl44_31
| ~ spl44_56
| ~ spl44_239
| ~ spl44_253
| ~ spl44_297
| spl44_414 ),
inference(forward_demodulation,[],[f5860,f5207]) ).
fof(f5860,plain,
( h2(op1(e11,e13)) != op2(h2(e11),e21)
| ~ spl44_31
| spl44_414 ),
inference(forward_demodulation,[],[f5793,f1005]) ).
fof(f5882,plain,
( ~ spl44_59
| ~ spl44_52
| ~ spl44_267
| spl44_417 ),
inference(avatar_split_clause,[],[f5853,f5803,f2181,f1099,f1131]) ).
fof(f5853,plain,
( e20 != op2(e23,e23)
| ~ spl44_52
| ~ spl44_267
| spl44_417 ),
inference(forward_demodulation,[],[f5852,f1100]) ).
fof(f5852,plain,
( op2(e23,e23) != h2(e10)
| ~ spl44_267
| spl44_417 ),
inference(forward_demodulation,[],[f5805,f2182]) ).
fof(f5805,plain,
( op2(e23,e23) != h2(op1(e12,e12))
| spl44_417 ),
inference(avatar_component_clause,[],[f5803]) ).
fof(f5879,plain,
( ~ spl44_325
| ~ spl44_31
| ~ spl44_52
| ~ spl44_56
| ~ spl44_60
| ~ spl44_239
| ~ spl44_253
| ~ spl44_297
| spl44_422 ),
inference(avatar_split_clause,[],[f5835,f5823,f3659,f2109,f2036,f1136,f1117,f1099,f1003,f4770]) ).
fof(f5835,plain,
( e20 != op2(e20,e20)
| ~ spl44_31
| ~ spl44_52
| ~ spl44_56
| ~ spl44_60
| ~ spl44_239
| ~ spl44_253
| ~ spl44_297
| spl44_422 ),
inference(forward_demodulation,[],[f5834,f5207]) ).
fof(f5834,plain,
( e20 != op2(e21,e21)
| ~ spl44_31
| ~ spl44_52
| ~ spl44_60
| spl44_422 ),
inference(forward_demodulation,[],[f5833,f1100]) ).
fof(f5833,plain,
( op2(e21,e21) != h2(e10)
| ~ spl44_31
| ~ spl44_60
| spl44_422 ),
inference(forward_demodulation,[],[f5832,f1138]) ).
fof(f5832,plain,
( op2(e21,e21) != h2(op1(e13,e13))
| ~ spl44_31
| spl44_422 ),
inference(forward_demodulation,[],[f5825,f1005]) ).
fof(f5825,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl44_422 ),
inference(avatar_component_clause,[],[f5823]) ).
fof(f5873,plain,
( ~ spl44_31
| ~ spl44_165
| ~ spl44_243
| spl44_412 ),
inference(avatar_contradiction_clause,[],[f5872]) ).
fof(f5872,plain,
( $false
| ~ spl44_31
| ~ spl44_165
| ~ spl44_243
| spl44_412 ),
inference(trivial_inequality_removal,[],[f5871]) ).
fof(f5871,plain,
( h2(e12) != h2(e12)
| ~ spl44_31
| ~ spl44_165
| ~ spl44_243
| spl44_412 ),
inference(forward_demodulation,[],[f5870,f1655]) ).
fof(f5870,plain,
( h2(e12) != h2(op1(e10,e13))
| ~ spl44_31
| ~ spl44_243
| spl44_412 ),
inference(forward_demodulation,[],[f5869,f2060]) ).
fof(f2060,plain,
( h2(e12) = op2(h2(e10),e21)
| ~ spl44_243 ),
inference(avatar_component_clause,[],[f2058]) ).
fof(f2058,plain,
( spl44_243
<=> h2(e12) = op2(h2(e10),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_243])]) ).
fof(f5869,plain,
( h2(op1(e10,e13)) != op2(h2(e10),e21)
| ~ spl44_31
| spl44_412 ),
inference(forward_demodulation,[],[f5785,f1005]) ).
fof(f5785,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl44_412 ),
inference(avatar_component_clause,[],[f5783]) ).
fof(f5830,plain,
( ~ spl44_393
| ~ spl44_394
| ~ spl44_411
| ~ spl44_412
| ~ spl44_397
| ~ spl44_398
| ~ spl44_413
| ~ spl44_414
| ~ spl44_415
| ~ spl44_416
| ~ spl44_417
| ~ spl44_418
| ~ spl44_419
| ~ spl44_420
| ~ spl44_421
| ~ spl44_422
| spl44_51
| spl44_49
| spl44_47
| ~ spl44_423 ),
inference(avatar_split_clause,[],[f655,f5827,f1077,f1086,f1095,f5823,f5819,f5815,f5811,f5807,f5803,f5799,f5795,f5791,f5787,f5631,f5627,f5783,f5779,f5615,f5611]) ).
fof(f5819,plain,
( spl44_421
<=> h2(op1(e13,e12)) = op2(h2(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_421])]) ).
fof(f655,plain,
( e23 != h2(e12)
| sP5
| sP4
| sP3
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),e23)
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(e23,h2(e13))
| op2(e23,e23) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(e23,h2(e11))
| h2(op1(e12,e10)) != op2(e23,h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),e23)
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),e23)
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(inner_rewriting,[],[f166]) ).
fof(f166,plain,
( e23 != h2(e12)
| sP5
| sP4
| sP3
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f5773,plain,
( ~ spl44_325
| ~ spl44_52
| ~ spl44_263
| ~ spl44_307
| spl44_397 ),
inference(avatar_split_clause,[],[f5723,f5627,f4558,f2162,f1099,f4770]) ).
fof(f5723,plain,
( e20 != op2(e20,e20)
| ~ spl44_52
| ~ spl44_263
| ~ spl44_307
| spl44_397 ),
inference(forward_demodulation,[],[f5722,f4560]) ).
fof(f5722,plain,
( op2(e20,e20) != h2(e11)
| ~ spl44_52
| ~ spl44_263
| ~ spl44_307
| spl44_397 ),
inference(forward_demodulation,[],[f5721,f2164]) ).
fof(f5721,plain,
( op2(e20,e20) != h2(op1(e11,e10))
| ~ spl44_52
| ~ spl44_307
| spl44_397 ),
inference(forward_demodulation,[],[f5720,f4560]) ).
fof(f5720,plain,
( h2(op1(e11,e10)) != op2(h2(e11),e20)
| ~ spl44_52
| spl44_397 ),
inference(forward_demodulation,[],[f5629,f1100]) ).
fof(f5629,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| spl44_397 ),
inference(avatar_component_clause,[],[f5627]) ).
fof(f5769,plain,
( ~ spl44_325
| ~ spl44_52
| ~ spl44_262
| ~ spl44_307
| spl44_398 ),
inference(avatar_split_clause,[],[f5719,f5631,f4558,f2158,f1099,f4770]) ).
fof(f5719,plain,
( e20 != op2(e20,e20)
| ~ spl44_52
| ~ spl44_262
| ~ spl44_307
| spl44_398 ),
inference(forward_demodulation,[],[f5718,f1100]) ).
fof(f5718,plain,
( op2(e20,e20) != h2(e10)
| ~ spl44_262
| ~ spl44_307
| spl44_398 ),
inference(forward_demodulation,[],[f5717,f2159]) ).
fof(f5717,plain,
( op2(e20,e20) != h2(op1(e11,e11))
| ~ spl44_307
| spl44_398 ),
inference(forward_demodulation,[],[f5633,f4560]) ).
fof(f5633,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl44_398 ),
inference(avatar_component_clause,[],[f5631]) ).
fof(f5764,plain,
( ~ spl44_325
| ~ spl44_52
| ~ spl44_129
| ~ spl44_307
| spl44_394 ),
inference(avatar_split_clause,[],[f5735,f5615,f4558,f1463,f1099,f4770]) ).
fof(f5735,plain,
( e20 != op2(e20,e20)
| ~ spl44_52
| ~ spl44_129
| ~ spl44_307
| spl44_394 ),
inference(forward_demodulation,[],[f5734,f4560]) ).
fof(f5734,plain,
( op2(e20,e20) != h2(e11)
| ~ spl44_52
| ~ spl44_129
| ~ spl44_307
| spl44_394 ),
inference(forward_demodulation,[],[f5733,f1465]) ).
fof(f5733,plain,
( op2(e20,e20) != h2(op1(e10,e11))
| ~ spl44_52
| ~ spl44_307
| spl44_394 ),
inference(forward_demodulation,[],[f5732,f1100]) ).
fof(f5732,plain,
( h2(op1(e10,e11)) != op2(h2(e10),e20)
| ~ spl44_307
| spl44_394 ),
inference(forward_demodulation,[],[f5617,f4560]) ).
fof(f5757,plain,
( ~ spl44_325
| ~ spl44_56
| ~ spl44_119
| ~ spl44_239
| ~ spl44_253
| ~ spl44_277
| ~ spl44_297
| ~ spl44_307
| spl44_399 ),
inference(avatar_split_clause,[],[f5716,f5635,f4558,f3659,f2313,f2109,f2036,f1418,f1117,f4770]) ).
fof(f5716,plain,
( e20 != op2(e20,e20)
| ~ spl44_56
| ~ spl44_119
| ~ spl44_239
| ~ spl44_253
| ~ spl44_277
| ~ spl44_297
| ~ spl44_307
| spl44_399 ),
inference(forward_demodulation,[],[f5715,f5207]) ).
fof(f5715,plain,
( op2(e20,e20) != e21
| ~ spl44_56
| ~ spl44_119
| ~ spl44_239
| ~ spl44_253
| ~ spl44_277
| ~ spl44_297
| ~ spl44_307
| spl44_399 ),
inference(forward_demodulation,[],[f5714,f2315]) ).
fof(f5714,plain,
( op2(e20,e20) != h2(e12)
| ~ spl44_56
| ~ spl44_119
| ~ spl44_239
| ~ spl44_253
| ~ spl44_277
| ~ spl44_297
| ~ spl44_307
| spl44_399 ),
inference(forward_demodulation,[],[f5713,f1420]) ).
fof(f5713,plain,
( op2(e20,e20) != h2(op1(e11,e12))
| ~ spl44_56
| ~ spl44_239
| ~ spl44_253
| ~ spl44_277
| ~ spl44_297
| ~ spl44_307
| spl44_399 ),
inference(forward_demodulation,[],[f5712,f4560]) ).
fof(f5712,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e20)
| ~ spl44_56
| ~ spl44_239
| ~ spl44_253
| ~ spl44_277
| ~ spl44_297
| spl44_399 ),
inference(forward_demodulation,[],[f5711,f5207]) ).
fof(f5755,plain,
( ~ spl44_348
| ~ spl44_274
| spl44_349 ),
inference(avatar_split_clause,[],[f5234,f5140,f2286,f5116]) ).
fof(f5140,plain,
( spl44_349
<=> e20 = h4(op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_349])]) ).
fof(f5234,plain,
( e20 != h4(e11)
| ~ spl44_274
| spl44_349 ),
inference(superposition,[],[f5142,f2288]) ).
fof(f5142,plain,
( e20 != h4(op1(e13,e12))
| spl44_349 ),
inference(avatar_component_clause,[],[f5140]) ).
fof(f5751,plain,
( ~ spl44_325
| ~ spl44_52
| ~ spl44_131
| spl44_393 ),
inference(avatar_split_clause,[],[f5738,f5611,f1472,f1099,f4770]) ).
fof(f5738,plain,
( e20 != op2(e20,e20)
| ~ spl44_52
| ~ spl44_131
| spl44_393 ),
inference(forward_demodulation,[],[f5737,f1100]) ).
fof(f5737,plain,
( op2(e20,e20) != h2(e10)
| ~ spl44_52
| ~ spl44_131
| spl44_393 ),
inference(forward_demodulation,[],[f5736,f1474]) ).
fof(f5736,plain,
( op2(e20,e20) != h2(op1(e10,e10))
| ~ spl44_52
| spl44_393 ),
inference(forward_demodulation,[],[f5613,f1100]) ).
fof(f5613,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| spl44_393 ),
inference(avatar_component_clause,[],[f5611]) ).
fof(f5748,plain,
( ~ spl44_325
| ~ spl44_52
| ~ spl44_56
| ~ spl44_239
| ~ spl44_253
| ~ spl44_267
| ~ spl44_277
| ~ spl44_297
| spl44_403 ),
inference(avatar_split_clause,[],[f5697,f5651,f3659,f2313,f2181,f2109,f2036,f1117,f1099,f4770]) ).
fof(f5697,plain,
( e20 != op2(e20,e20)
| ~ spl44_52
| ~ spl44_56
| ~ spl44_239
| ~ spl44_253
| ~ spl44_267
| ~ spl44_277
| ~ spl44_297
| spl44_403 ),
inference(forward_demodulation,[],[f5696,f5207]) ).
fof(f5696,plain,
( e20 != op2(e21,e21)
| ~ spl44_52
| ~ spl44_267
| ~ spl44_277
| spl44_403 ),
inference(forward_demodulation,[],[f5695,f1100]) ).
fof(f5695,plain,
( op2(e21,e21) != h2(e10)
| ~ spl44_267
| ~ spl44_277
| spl44_403 ),
inference(forward_demodulation,[],[f5694,f2182]) ).
fof(f5694,plain,
( op2(e21,e21) != h2(op1(e12,e12))
| ~ spl44_277
| spl44_403 ),
inference(forward_demodulation,[],[f5653,f2315]) ).
fof(f5653,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl44_403 ),
inference(avatar_component_clause,[],[f5651]) ).
fof(f5745,plain,
( ~ spl44_59
| ~ spl44_52
| ~ spl44_60
| spl44_408 ),
inference(avatar_split_clause,[],[f5681,f5671,f1136,f1099,f1131]) ).
fof(f5681,plain,
( e20 != op2(e23,e23)
| ~ spl44_52
| ~ spl44_60
| spl44_408 ),
inference(forward_demodulation,[],[f5680,f1100]) ).
fof(f5680,plain,
( op2(e23,e23) != h2(e10)
| ~ spl44_60
| spl44_408 ),
inference(forward_demodulation,[],[f5673,f1138]) ).
fof(f5673,plain,
( op2(e23,e23) != h2(op1(e13,e13))
| spl44_408 ),
inference(avatar_component_clause,[],[f5671]) ).
fof(f5743,plain,
( ~ spl44_410
| ~ spl44_56
| ~ spl44_239
| ~ spl44_243
| ~ spl44_253
| ~ spl44_277
| ~ spl44_297
| ~ spl44_303
| spl44_395 ),
inference(avatar_split_clause,[],[f5731,f5619,f4007,f3659,f2313,f2109,f2058,f2036,f1117,f5740]) ).
fof(f5740,plain,
( spl44_410
<=> e20 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_410])]) ).
fof(f5731,plain,
( e20 != h2(e13)
| ~ spl44_56
| ~ spl44_239
| ~ spl44_243
| ~ spl44_253
| ~ spl44_277
| ~ spl44_297
| ~ spl44_303
| spl44_395 ),
inference(forward_demodulation,[],[f5730,f5207]) ).
fof(f5730,plain,
( e21 != h2(e13)
| ~ spl44_243
| ~ spl44_277
| ~ spl44_303
| spl44_395 ),
inference(forward_demodulation,[],[f5729,f2315]) ).
fof(f5729,plain,
( h2(e13) != h2(e12)
| ~ spl44_243
| ~ spl44_277
| ~ spl44_303
| spl44_395 ),
inference(forward_demodulation,[],[f5728,f4009]) ).
fof(f5728,plain,
( h2(e12) != h2(op1(e10,e12))
| ~ spl44_243
| ~ spl44_277
| spl44_395 ),
inference(forward_demodulation,[],[f5727,f2060]) ).
fof(f5727,plain,
( h2(op1(e10,e12)) != op2(h2(e10),e21)
| ~ spl44_277
| spl44_395 ),
inference(forward_demodulation,[],[f5621,f2315]) ).
fof(f5678,plain,
( ~ spl44_393
| ~ spl44_394
| ~ spl44_395
| ~ spl44_396
| ~ spl44_397
| ~ spl44_398
| ~ spl44_399
| ~ spl44_400
| ~ spl44_401
| ~ spl44_402
| ~ spl44_403
| ~ spl44_404
| ~ spl44_405
| ~ spl44_406
| ~ spl44_407
| ~ spl44_408
| spl44_51
| spl44_49
| spl44_47
| ~ spl44_409 ),
inference(avatar_split_clause,[],[f654,f5675,f1077,f1086,f1095,f5671,f5667,f5663,f5659,f5655,f5651,f5647,f5643,f5639,f5635,f5631,f5627,f5623,f5619,f5615,f5611]) ).
fof(f5675,plain,
( spl44_409
<=> e23 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_409])]) ).
fof(f654,plain,
( e23 != h2(e13)
| sP5
| sP4
| sP3
| op2(e23,e23) != h2(op1(e13,e13))
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,h2(e11))
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),e23)
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),e23)
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(inner_rewriting,[],[f167]) ).
fof(f167,plain,
( e23 != h2(e13)
| sP5
| sP4
| sP3
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f5607,plain,
( ~ spl44_59
| ~ spl44_46
| ~ spl44_262
| spl44_385 ),
inference(avatar_split_clause,[],[f5598,f5538,f2158,f1072,f1131]) ).
fof(f5598,plain,
( e20 != op2(e23,e23)
| ~ spl44_46
| ~ spl44_262
| spl44_385 ),
inference(forward_demodulation,[],[f5597,f1073]) ).
fof(f5597,plain,
( op2(e23,e23) != h3(e10)
| ~ spl44_262
| spl44_385 ),
inference(forward_demodulation,[],[f5540,f2159]) ).
fof(f5540,plain,
( op2(e23,e23) != h3(op1(e11,e11))
| spl44_385 ),
inference(avatar_component_clause,[],[f5538]) ).
fof(f5584,plain,
( ~ spl44_30
| ~ spl44_61
| ~ spl44_234
| spl44_389 ),
inference(avatar_contradiction_clause,[],[f5583]) ).
fof(f5583,plain,
( $false
| ~ spl44_30
| ~ spl44_61
| ~ spl44_234
| spl44_389 ),
inference(trivial_inequality_removal,[],[f5582]) ).
fof(f5582,plain,
( h3(e11) != h3(e11)
| ~ spl44_30
| ~ spl44_61
| ~ spl44_234
| spl44_389 ),
inference(forward_demodulation,[],[f5581,f1143]) ).
fof(f5581,plain,
( h3(e11) != h3(op1(e12,e13))
| ~ spl44_30
| ~ spl44_234
| spl44_389 ),
inference(forward_demodulation,[],[f5580,f2011]) ).
fof(f5580,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e22)
| ~ spl44_30
| spl44_389 ),
inference(forward_demodulation,[],[f5556,f1000]) ).
fof(f5556,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl44_389 ),
inference(avatar_component_clause,[],[f5554]) ).
fof(f5554,plain,
( spl44_389
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_389])]) ).
fof(f5569,plain,
( ~ spl44_353
| ~ spl44_383
| ~ spl44_355
| ~ spl44_372
| ~ spl44_384
| ~ spl44_385
| ~ spl44_386
| ~ spl44_387
| ~ spl44_361
| ~ spl44_388
| ~ spl44_363
| ~ spl44_389
| ~ spl44_379
| ~ spl44_390
| ~ spl44_391
| ~ spl44_382
| spl44_45
| spl44_43
| spl44_41
| ~ spl44_392 ),
inference(avatar_split_clause,[],[f652,f5566,f1050,f1059,f1068,f5455,f5562,f5558,f5443,f5554,f5280,f5550,f5272,f5546,f5542,f5538,f5534,f5415,f5248,f5530,f5240]) ).
fof(f5415,plain,
( spl44_372
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_372])]) ).
fof(f5558,plain,
( spl44_390
<=> h3(op1(e13,e11)) = op2(h3(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_390])]) ).
fof(f5455,plain,
( spl44_382
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_382])]) ).
fof(f1068,plain,
( spl44_45
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_45])]) ).
fof(f1059,plain,
( spl44_43
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_43])]) ).
fof(f1050,plain,
( spl44_41
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_41])]) ).
fof(f5566,plain,
( spl44_392
<=> e23 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_392])]) ).
fof(f652,plain,
( e23 != h3(e11)
| sP8
| sP7
| sP6
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),e23)
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),e23)
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(e23,h3(e13))
| h3(op1(e11,e12)) != op2(e23,h3(e12))
| op2(e23,e23) != h3(op1(e11,e11))
| h3(op1(e11,e10)) != op2(e23,h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),e23)
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(inner_rewriting,[],[f169]) ).
fof(f169,plain,
( e23 != h3(e11)
| sP8
| sP7
| sP6
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f5525,plain,
( ~ spl44_133
| ~ spl44_30
| ~ spl44_46
| ~ spl44_303
| spl44_371 ),
inference(avatar_split_clause,[],[f5505,f5411,f4007,f1072,f998,f1483]) ).
fof(f5505,plain,
( e22 != op2(e20,e23)
| ~ spl44_30
| ~ spl44_46
| ~ spl44_303
| spl44_371 ),
inference(forward_demodulation,[],[f5504,f1000]) ).
fof(f5504,plain,
( op2(e20,e23) != h3(e13)
| ~ spl44_46
| ~ spl44_303
| spl44_371 ),
inference(forward_demodulation,[],[f5503,f4009]) ).
fof(f5503,plain,
( op2(e20,e23) != h3(op1(e10,e12))
| ~ spl44_46
| spl44_371 ),
inference(forward_demodulation,[],[f5413,f1073]) ).
fof(f5413,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e23)
| spl44_371 ),
inference(avatar_component_clause,[],[f5411]) ).
fof(f5521,plain,
( ~ spl44_258
| ~ spl44_46
| ~ spl44_268
| ~ spl44_306
| spl44_375 ),
inference(avatar_split_clause,[],[f5487,f5427,f4200,f2185,f1072,f2135]) ).
fof(f5487,plain,
( e23 != op2(e23,e20)
| ~ spl44_46
| ~ spl44_268
| ~ spl44_306
| spl44_375 ),
inference(forward_demodulation,[],[f5486,f4202]) ).
fof(f5486,plain,
( op2(e23,e20) != h3(e12)
| ~ spl44_46
| ~ spl44_268
| spl44_375 ),
inference(forward_demodulation,[],[f5485,f2187]) ).
fof(f5485,plain,
( op2(e23,e20) != h3(op1(e12,e10))
| ~ spl44_46
| spl44_375 ),
inference(forward_demodulation,[],[f5429,f1073]) ).
fof(f5429,plain,
( h3(op1(e12,e10)) != op2(e23,h3(e10))
| spl44_375 ),
inference(avatar_component_clause,[],[f5427]) ).
fof(f5516,plain,
( ~ spl44_59
| ~ spl44_46
| ~ spl44_267
| spl44_377 ),
inference(avatar_split_clause,[],[f5480,f5435,f2181,f1072,f1131]) ).
fof(f5480,plain,
( e20 != op2(e23,e23)
| ~ spl44_46
| ~ spl44_267
| spl44_377 ),
inference(forward_demodulation,[],[f5479,f1073]) ).
fof(f5479,plain,
( op2(e23,e23) != h3(e10)
| ~ spl44_267
| spl44_377 ),
inference(forward_demodulation,[],[f5437,f2182]) ).
fof(f5437,plain,
( op2(e23,e23) != h3(op1(e12,e12))
| spl44_377 ),
inference(avatar_component_clause,[],[f5435]) ).
fof(f5511,plain,
( ~ spl44_255
| ~ spl44_30
| ~ spl44_46
| ~ spl44_269
| spl44_379 ),
inference(avatar_split_clause,[],[f5474,f5443,f2190,f1072,f998,f2119]) ).
fof(f5474,plain,
( e22 != op2(e22,e20)
| ~ spl44_30
| ~ spl44_46
| ~ spl44_269
| spl44_379 ),
inference(forward_demodulation,[],[f5473,f1000]) ).
fof(f5473,plain,
( op2(e22,e20) != h3(e13)
| ~ spl44_30
| ~ spl44_46
| ~ spl44_269
| spl44_379 ),
inference(forward_demodulation,[],[f5472,f2192]) ).
fof(f5472,plain,
( op2(e22,e20) != h3(op1(e13,e10))
| ~ spl44_30
| ~ spl44_46
| spl44_379 ),
inference(forward_demodulation,[],[f5471,f1000]) ).
fof(f5471,plain,
( h3(op1(e13,e10)) != op2(h3(e13),e20)
| ~ spl44_46
| spl44_379 ),
inference(forward_demodulation,[],[f5445,f1073]) ).
fof(f5445,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl44_379 ),
inference(avatar_component_clause,[],[f5443]) ).
fof(f5508,plain,
( ~ spl44_254
| ~ spl44_30
| ~ spl44_46
| ~ spl44_60
| spl44_382 ),
inference(avatar_split_clause,[],[f5461,f5455,f1136,f1072,f998,f2115]) ).
fof(f5461,plain,
( e20 != op2(e22,e22)
| ~ spl44_30
| ~ spl44_46
| ~ spl44_60
| spl44_382 ),
inference(forward_demodulation,[],[f5460,f1073]) ).
fof(f5460,plain,
( op2(e22,e22) != h3(e10)
| ~ spl44_30
| ~ spl44_60
| spl44_382 ),
inference(forward_demodulation,[],[f5459,f1138]) ).
fof(f5459,plain,
( op2(e22,e22) != h3(op1(e13,e13))
| ~ spl44_30
| spl44_382 ),
inference(forward_demodulation,[],[f5457,f1000]) ).
fof(f5457,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl44_382 ),
inference(avatar_component_clause,[],[f5455]) ).
fof(f5502,plain,
( ~ spl44_30
| ~ spl44_165
| ~ spl44_241
| spl44_372 ),
inference(avatar_contradiction_clause,[],[f5501]) ).
fof(f5501,plain,
( $false
| ~ spl44_30
| ~ spl44_165
| ~ spl44_241
| spl44_372 ),
inference(trivial_inequality_removal,[],[f5500]) ).
fof(f5500,plain,
( h3(e12) != h3(e12)
| ~ spl44_30
| ~ spl44_165
| ~ spl44_241
| spl44_372 ),
inference(forward_demodulation,[],[f5499,f1655]) ).
fof(f5499,plain,
( h3(e12) != h3(op1(e10,e13))
| ~ spl44_30
| ~ spl44_241
| spl44_372 ),
inference(forward_demodulation,[],[f5498,f2049]) ).
fof(f2049,plain,
( h3(e12) = op2(h3(e10),e22)
| ~ spl44_241 ),
inference(avatar_component_clause,[],[f2047]) ).
fof(f2047,plain,
( spl44_241
<=> h3(e12) = op2(h3(e10),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_241])]) ).
fof(f5498,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e22)
| ~ spl44_30
| spl44_372 ),
inference(forward_demodulation,[],[f5417,f1000]) ).
fof(f5417,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl44_372 ),
inference(avatar_component_clause,[],[f5415]) ).
fof(f5458,plain,
( ~ spl44_353
| ~ spl44_354
| ~ spl44_371
| ~ spl44_372
| ~ spl44_357
| ~ spl44_358
| ~ spl44_373
| ~ spl44_374
| ~ spl44_375
| ~ spl44_376
| ~ spl44_377
| ~ spl44_378
| ~ spl44_379
| ~ spl44_380
| ~ spl44_381
| ~ spl44_382
| spl44_45
| spl44_43
| spl44_41
| ~ spl44_306 ),
inference(avatar_split_clause,[],[f651,f4200,f1050,f1059,f1068,f5455,f5451,f5447,f5443,f5439,f5435,f5431,f5427,f5423,f5419,f5260,f5256,f5415,f5411,f5244,f5240]) ).
fof(f651,plain,
( e23 != h3(e12)
| sP8
| sP7
| sP6
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),e23)
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(e23,h3(e13))
| op2(e23,e23) != h3(op1(e12,e12))
| h3(op1(e12,e11)) != op2(e23,h3(e11))
| h3(op1(e12,e10)) != op2(e23,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),e23)
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),e23)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(inner_rewriting,[],[f170]) ).
fof(f170,plain,
( e23 != h3(e12)
| sP8
| sP7
| sP6
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f5403,plain,
( ~ spl44_325
| ~ spl44_46
| ~ spl44_56
| ~ spl44_129
| ~ spl44_234
| ~ spl44_239
| ~ spl44_253
| ~ spl44_281
| ~ spl44_297
| ~ spl44_306
| spl44_354 ),
inference(avatar_split_clause,[],[f5369,f5244,f4200,f3659,f2416,f2109,f2036,f2009,f1463,f1117,f1072,f4770]) ).
fof(f5369,plain,
( e20 != op2(e20,e20)
| ~ spl44_46
| ~ spl44_56
| ~ spl44_129
| ~ spl44_234
| ~ spl44_239
| ~ spl44_253
| ~ spl44_281
| ~ spl44_297
| ~ spl44_306
| spl44_354 ),
inference(forward_demodulation,[],[f5368,f5207]) ).
fof(f5368,plain,
( op2(e20,e20) != e21
| ~ spl44_46
| ~ spl44_56
| ~ spl44_129
| ~ spl44_234
| ~ spl44_239
| ~ spl44_253
| ~ spl44_281
| ~ spl44_297
| ~ spl44_306
| spl44_354 ),
inference(forward_demodulation,[],[f5367,f4417]) ).
fof(f5367,plain,
( op2(e20,e20) != h3(e11)
| ~ spl44_46
| ~ spl44_56
| ~ spl44_129
| ~ spl44_234
| ~ spl44_239
| ~ spl44_253
| ~ spl44_281
| ~ spl44_297
| ~ spl44_306
| spl44_354 ),
inference(forward_demodulation,[],[f5366,f1465]) ).
fof(f5366,plain,
( op2(e20,e20) != h3(op1(e10,e11))
| ~ spl44_46
| ~ spl44_56
| ~ spl44_234
| ~ spl44_239
| ~ spl44_253
| ~ spl44_281
| ~ spl44_297
| ~ spl44_306
| spl44_354 ),
inference(forward_demodulation,[],[f5365,f1073]) ).
fof(f5365,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e20)
| ~ spl44_56
| ~ spl44_234
| ~ spl44_239
| ~ spl44_253
| ~ spl44_281
| ~ spl44_297
| ~ spl44_306
| spl44_354 ),
inference(forward_demodulation,[],[f5364,f5207]) ).
fof(f5364,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e21)
| ~ spl44_234
| ~ spl44_281
| ~ spl44_306
| spl44_354 ),
inference(forward_demodulation,[],[f5246,f4417]) ).
fof(f5246,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl44_354 ),
inference(avatar_component_clause,[],[f5244]) ).
fof(f5399,plain,
( ~ spl44_325
| ~ spl44_46
| ~ spl44_131
| spl44_353 ),
inference(avatar_split_clause,[],[f5372,f5240,f1472,f1072,f4770]) ).
fof(f5372,plain,
( e20 != op2(e20,e20)
| ~ spl44_46
| ~ spl44_131
| spl44_353 ),
inference(forward_demodulation,[],[f5371,f1073]) ).
fof(f5371,plain,
( op2(e20,e20) != h3(e10)
| ~ spl44_46
| ~ spl44_131
| spl44_353 ),
inference(forward_demodulation,[],[f5370,f1474]) ).
fof(f5370,plain,
( op2(e20,e20) != h3(op1(e10,e10))
| ~ spl44_46
| spl44_353 ),
inference(forward_demodulation,[],[f5242,f1073]) ).
fof(f5242,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl44_353 ),
inference(avatar_component_clause,[],[f5240]) ).
fof(f5394,plain,
( ~ spl44_133
| ~ spl44_30
| ~ spl44_46
| ~ spl44_303
| ~ spl44_306
| spl44_355 ),
inference(avatar_split_clause,[],[f5363,f5248,f4200,f4007,f1072,f998,f1483]) ).
fof(f5363,plain,
( e22 != op2(e20,e23)
| ~ spl44_30
| ~ spl44_46
| ~ spl44_303
| ~ spl44_306
| spl44_355 ),
inference(forward_demodulation,[],[f5362,f1000]) ).
fof(f5362,plain,
( op2(e20,e23) != h3(e13)
| ~ spl44_46
| ~ spl44_303
| ~ spl44_306
| spl44_355 ),
inference(forward_demodulation,[],[f5361,f4009]) ).
fof(f5361,plain,
( op2(e20,e23) != h3(op1(e10,e12))
| ~ spl44_46
| ~ spl44_306
| spl44_355 ),
inference(forward_demodulation,[],[f5360,f1073]) ).
fof(f5360,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e23)
| ~ spl44_306
| spl44_355 ),
inference(forward_demodulation,[],[f5250,f4202]) ).
fof(f5250,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl44_355 ),
inference(avatar_component_clause,[],[f5248]) ).
fof(f5390,plain,
( ~ spl44_325
| ~ spl44_46
| ~ spl44_56
| ~ spl44_234
| ~ spl44_239
| ~ spl44_253
| ~ spl44_262
| ~ spl44_281
| ~ spl44_297
| ~ spl44_306
| spl44_358 ),
inference(avatar_split_clause,[],[f5350,f5260,f4200,f3659,f2416,f2158,f2109,f2036,f2009,f1117,f1072,f4770]) ).
fof(f5350,plain,
( e20 != op2(e20,e20)
| ~ spl44_46
| ~ spl44_56
| ~ spl44_234
| ~ spl44_239
| ~ spl44_253
| ~ spl44_262
| ~ spl44_281
| ~ spl44_297
| ~ spl44_306
| spl44_358 ),
inference(forward_demodulation,[],[f5349,f5207]) ).
fof(f5349,plain,
( e20 != op2(e21,e21)
| ~ spl44_46
| ~ spl44_234
| ~ spl44_262
| ~ spl44_281
| ~ spl44_306
| spl44_358 ),
inference(forward_demodulation,[],[f5348,f1073]) ).
fof(f5385,plain,
( ~ spl44_258
| ~ spl44_46
| ~ spl44_268
| ~ spl44_306
| spl44_361 ),
inference(avatar_split_clause,[],[f5337,f5272,f4200,f2185,f1072,f2135]) ).
fof(f5337,plain,
( e23 != op2(e23,e20)
| ~ spl44_46
| ~ spl44_268
| ~ spl44_306
| spl44_361 ),
inference(forward_demodulation,[],[f5336,f4202]) ).
fof(f5336,plain,
( op2(e23,e20) != h3(e12)
| ~ spl44_46
| ~ spl44_268
| ~ spl44_306
| spl44_361 ),
inference(forward_demodulation,[],[f5335,f2187]) ).
fof(f5335,plain,
( op2(e23,e20) != h3(op1(e12,e10))
| ~ spl44_46
| ~ spl44_306
| spl44_361 ),
inference(forward_demodulation,[],[f5334,f4202]) ).
fof(f5334,plain,
( h3(op1(e12,e10)) != op2(h3(e12),e20)
| ~ spl44_46
| spl44_361 ),
inference(forward_demodulation,[],[f5274,f1073]) ).
fof(f5274,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl44_361 ),
inference(avatar_component_clause,[],[f5272]) ).
fof(f5381,plain,
( ~ spl44_59
| ~ spl44_46
| ~ spl44_267
| ~ spl44_306
| spl44_363 ),
inference(avatar_split_clause,[],[f5328,f5280,f4200,f2181,f1072,f1131]) ).
fof(f5328,plain,
( e20 != op2(e23,e23)
| ~ spl44_46
| ~ spl44_267
| ~ spl44_306
| spl44_363 ),
inference(forward_demodulation,[],[f5327,f1073]) ).
fof(f5327,plain,
( op2(e23,e23) != h3(e10)
| ~ spl44_267
| ~ spl44_306
| spl44_363 ),
inference(forward_demodulation,[],[f5326,f2182]) ).
fof(f5326,plain,
( op2(e23,e23) != h3(op1(e12,e12))
| ~ spl44_306
| spl44_363 ),
inference(forward_demodulation,[],[f5282,f4202]) ).
fof(f5282,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl44_363 ),
inference(avatar_component_clause,[],[f5280]) ).
fof(f5380,plain,
( ~ spl44_370
| ~ spl44_303
| spl44_342 ),
inference(avatar_split_clause,[],[f5113,f4969,f4007,f5377]) ).
fof(f5377,plain,
( spl44_370
<=> e22 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_370])]) ).
fof(f4969,plain,
( spl44_342
<=> e22 = h4(op1(e10,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_342])]) ).
fof(f5113,plain,
( e22 != h4(e13)
| ~ spl44_303
| spl44_342 ),
inference(superposition,[],[f4971,f4009]) ).
fof(f4971,plain,
( e22 != h4(op1(e10,e12))
| spl44_342 ),
inference(avatar_component_clause,[],[f4969]) ).
fof(f5373,plain,
( ~ spl44_59
| ~ spl44_46
| ~ spl44_60
| spl44_368 ),
inference(avatar_split_clause,[],[f5310,f5300,f1136,f1072,f1131]) ).
fof(f5310,plain,
( e20 != op2(e23,e23)
| ~ spl44_46
| ~ spl44_60
| spl44_368 ),
inference(forward_demodulation,[],[f5309,f1073]) ).
fof(f5309,plain,
( op2(e23,e23) != h3(e10)
| ~ spl44_60
| spl44_368 ),
inference(forward_demodulation,[],[f5302,f1138]) ).
fof(f5302,plain,
( op2(e23,e23) != h3(op1(e13,e13))
| spl44_368 ),
inference(avatar_component_clause,[],[f5300]) ).
fof(f5307,plain,
( ~ spl44_353
| ~ spl44_354
| ~ spl44_355
| ~ spl44_356
| ~ spl44_357
| ~ spl44_358
| ~ spl44_359
| ~ spl44_360
| ~ spl44_361
| ~ spl44_362
| ~ spl44_363
| ~ spl44_364
| ~ spl44_365
| ~ spl44_366
| ~ spl44_367
| ~ spl44_368
| spl44_45
| spl44_43
| spl44_41
| ~ spl44_369 ),
inference(avatar_split_clause,[],[f650,f5304,f1050,f1059,f1068,f5300,f5296,f5292,f5288,f5284,f5280,f5276,f5272,f5268,f5264,f5260,f5256,f5252,f5248,f5244,f5240]) ).
fof(f5304,plain,
( spl44_369
<=> e23 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_369])]) ).
fof(f650,plain,
( e23 != h3(e13)
| sP8
| sP7
| sP6
| op2(e23,e23) != h3(op1(e13,e13))
| h3(op1(e13,e12)) != op2(e23,h3(e12))
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),e23)
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),e23)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(inner_rewriting,[],[f171]) ).
fof(f171,plain,
( e23 != h3(e13)
| sP8
| sP7
| sP6
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f5209,plain,
( spl44_4
| ~ spl44_245
| ~ spl44_352 ),
inference(avatar_split_clause,[],[f5162,f5158,f2070,f868]) ).
fof(f5158,plain,
( spl44_352
<=> e21 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_352])]) ).
fof(f5162,plain,
( e21 = e22
| ~ spl44_245
| ~ spl44_352 ),
inference(superposition,[],[f5160,f2072]) ).
fof(f5160,plain,
( e21 = h4(e12)
| ~ spl44_352 ),
inference(avatar_component_clause,[],[f5158]) ).
fof(f5182,plain,
( spl44_121
| spl44_25
| spl44_23
| spl44_24
| ~ spl44_259
| ~ spl44_267 ),
inference(avatar_split_clause,[],[f5071,f2181,f2144,f968,f963,f973,f1427]) ).
fof(f1427,plain,
( spl44_121
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_121])]) ).
fof(f973,plain,
( spl44_25
<=> e10 = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_25])]) ).
fof(f963,plain,
( spl44_23
<=> e10 = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_23])]) ).
fof(f968,plain,
( spl44_24
<=> e10 = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_24])]) ).
fof(f2144,plain,
( spl44_259
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_259])]) ).
fof(f5071,plain,
( e10 = e12
| e10 = e11
| e10 = e13
| e11 = op1(e11,e11)
| ~ spl44_259
| ~ spl44_267 ),
inference(forward_demodulation,[],[f4125,f2182]) ).
fof(f4125,plain,
( e10 = e11
| e10 = e13
| e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| ~ spl44_259 ),
inference(forward_demodulation,[],[f851,f2145]) ).
fof(f2145,plain,
( op1(e10,e10) = e11
| ~ spl44_259 ),
inference(avatar_component_clause,[],[f2144]) ).
fof(f851,plain,
( e10 = e13
| e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| e10 = op1(e10,e10) ),
inference(forward_demodulation,[],[f597,f223]) ).
fof(f223,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e12 = op1(op1(e13,e13),e13)
& e11 = op1(op1(op1(e13,e13),e13),e13)
& e10 = op1(e13,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f597,plain,
( e13 = op1(e13,e13)
| e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e13 = op1(e13,e13)
| e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| e10 = op1(e10,e10) )
& ( sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28 ) ),
inference(definition_folding,[],[f10,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51]) ).
fof(f51,plain,
( ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e10,e10) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f52,plain,
( ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e11 = op1(e10,e11) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f53,plain,
( ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e12 = op1(e10,e12) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f54,plain,
( ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e10,e13) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f55,plain,
( ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e10 = op1(e11,e10) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f56,plain,
( ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e11 = op1(e11,e11) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f57,plain,
( ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e12 = op1(e11,e12) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f58,plain,
( ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e13 = op1(e11,e13) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f59,plain,
( ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e10 = op1(e12,e10) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f60,plain,
( ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e11 = op1(e12,e11) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f61,plain,
( ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e12,e12) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f62,plain,
( ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e13 = op1(e12,e13) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f63,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e10 = op1(e13,e10) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f64,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e11 = op1(e13,e11) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f65,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e12 = op1(e13,e12) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f66,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e13 = op1(e13,e13) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f10,axiom,
( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e13 = op1(e13,e13)
| e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| e10 = op1(e10,e10) )
& ( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e13 = op1(e13,e13) )
| ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e12 = op1(e13,e12) )
| ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e11 = op1(e13,e11) )
| ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e10 = op1(e13,e10) )
| ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e13 = op1(e12,e13) )
| ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e12,e12) )
| ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e11 = op1(e12,e11) )
| ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e10 = op1(e12,e10) )
| ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e13 = op1(e11,e13) )
| ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e12 = op1(e11,e12) )
| ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e11 = op1(e11,e11) )
| ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e10 = op1(e11,e10) )
| ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e10,e13) )
| ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e12 = op1(e10,e12) )
| ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e11 = op1(e10,e11) )
| ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e10,e10) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f5161,plain,
( spl44_352
| ~ spl44_107
| ~ spl44_351 ),
inference(avatar_split_clause,[],[f5156,f5152,f1363,f5158]) ).
fof(f1363,plain,
( spl44_107
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_107])]) ).
fof(f5156,plain,
( e21 = h4(e12)
| ~ spl44_107
| ~ spl44_351 ),
inference(forward_demodulation,[],[f5154,f1365]) ).
fof(f1365,plain,
( e12 = op1(e13,e12)
| ~ spl44_107 ),
inference(avatar_component_clause,[],[f1363]) ).
fof(f5155,plain,
( spl44_351
| ~ spl44_245
| ~ spl44_281
| ~ spl44_323 ),
inference(avatar_split_clause,[],[f5131,f4645,f2416,f2070,f5152]) ).
fof(f5131,plain,
( e21 = h4(op1(e13,e12))
| ~ spl44_245
| ~ spl44_281
| ~ spl44_323 ),
inference(forward_demodulation,[],[f4712,f2418]) ).
fof(f5149,plain,
( ~ spl44_350
| ~ spl44_107
| spl44_349 ),
inference(avatar_split_clause,[],[f5144,f5140,f1363,f5146]) ).
fof(f5146,plain,
( spl44_350
<=> e20 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_350])]) ).
fof(f5144,plain,
( e20 != h4(e12)
| ~ spl44_107
| spl44_349 ),
inference(forward_demodulation,[],[f5142,f1365]) ).
fof(f5143,plain,
( ~ spl44_349
| ~ spl44_32
| ~ spl44_59
| spl44_336 ),
inference(avatar_split_clause,[],[f5130,f4816,f1131,f1008,f5140]) ).
fof(f4816,plain,
( spl44_336
<=> h4(op1(e13,e12)) = op2(h4(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_336])]) ).
fof(f5130,plain,
( e20 != h4(op1(e13,e12))
| ~ spl44_32
| ~ spl44_59
| spl44_336 ),
inference(forward_demodulation,[],[f4832,f1133]) ).
fof(f4832,plain,
( op2(e23,e23) != h4(op1(e13,e12))
| ~ spl44_32
| spl44_336 ),
inference(forward_demodulation,[],[f4818,f1010]) ).
fof(f4818,plain,
( h4(op1(e13,e12)) != op2(h4(e13),e23)
| spl44_336 ),
inference(avatar_component_clause,[],[f4816]) ).
fof(f5125,plain,
( ~ spl44_118
| ~ spl44_259
| ~ spl44_260 ),
inference(avatar_split_clause,[],[f5124,f2148,f2144,f1414]) ).
fof(f1414,plain,
( spl44_118
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_118])]) ).
fof(f2148,plain,
( spl44_260
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_260])]) ).
fof(f5124,plain,
( ~ sP34
| ~ spl44_259
| ~ spl44_260 ),
inference(trivial_inequality_removal,[],[f5123]) ).
fof(f5123,plain,
( e11 != e11
| ~ sP34
| ~ spl44_259
| ~ spl44_260 ),
inference(forward_demodulation,[],[f5122,f2145]) ).
fof(f5122,plain,
( op1(e10,e10) != e11
| ~ sP34
| ~ spl44_260 ),
inference(trivial_inequality_removal,[],[f5121]) ).
fof(f5121,plain,
( e10 != e10
| op1(e10,e10) != e11
| ~ sP34
| ~ spl44_260 ),
inference(forward_demodulation,[],[f562,f2150]) ).
fof(f2150,plain,
( e10 = op1(e10,e11)
| ~ spl44_260 ),
inference(avatar_component_clause,[],[f2148]) ).
fof(f562,plain,
( e10 != op1(e10,e11)
| op1(e10,e10) != e11
| ~ sP34 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e12 = op1(e11,e12) )
| ~ sP34 ),
inference(nnf_transformation,[],[f57]) ).
fof(f5120,plain,
( ~ spl44_122
| ~ spl44_259
| ~ spl44_260 ),
inference(avatar_split_clause,[],[f572,f2148,f2144,f1432]) ).
fof(f1432,plain,
( spl44_122
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_122])]) ).
fof(f572,plain,
( e10 != op1(e10,e11)
| op1(e10,e10) != e11
| ~ sP32 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e10 = op1(e11,e10) )
| ~ sP32 ),
inference(nnf_transformation,[],[f55]) ).
fof(f5119,plain,
( spl44_348
| ~ spl44_259
| ~ spl44_339 ),
inference(avatar_split_clause,[],[f5102,f4922,f2144,f5116]) ).
fof(f5102,plain,
( e20 = h4(e11)
| ~ spl44_259
| ~ spl44_339 ),
inference(superposition,[],[f4923,f2145]) ).
fof(f5098,plain,
( ~ spl44_340
| ~ spl44_40
| ~ spl44_52
| ~ spl44_237
| ~ spl44_243
| ~ spl44_277
| spl44_310 ),
inference(avatar_split_clause,[],[f5056,f4593,f2313,f2058,f2025,f1099,f1045,f4956]) ).
fof(f4593,plain,
( spl44_310
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_310])]) ).
fof(f5056,plain,
( e21 != h4(op1(e10,e11))
| ~ spl44_40
| ~ spl44_52
| ~ spl44_237
| ~ spl44_243
| ~ spl44_277
| spl44_310 ),
inference(forward_demodulation,[],[f5055,f2315]) ).
fof(f5055,plain,
( h2(e12) != h4(op1(e10,e11))
| ~ spl44_40
| ~ spl44_52
| ~ spl44_237
| ~ spl44_243
| spl44_310 ),
inference(forward_demodulation,[],[f4999,f3602]) ).
fof(f3602,plain,
( op2(e20,e21) = h2(e12)
| ~ spl44_52
| ~ spl44_243 ),
inference(superposition,[],[f2060,f1100]) ).
fof(f4999,plain,
( op2(e20,e21) != h4(op1(e10,e11))
| ~ spl44_40
| ~ spl44_237
| spl44_310 ),
inference(forward_demodulation,[],[f4998,f1046]) ).
fof(f4998,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| ~ spl44_237
| spl44_310 ),
inference(forward_demodulation,[],[f4595,f2027]) ).
fof(f4595,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| spl44_310 ),
inference(avatar_component_clause,[],[f4593]) ).
fof(f5087,plain,
( spl44_1
| ~ spl44_40
| ~ spl44_123
| ~ spl44_347 ),
inference(avatar_split_clause,[],[f5086,f5081,f1436,f1045,f853]) ).
fof(f1436,plain,
( spl44_123
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_123])]) ).
fof(f5086,plain,
( e20 = e21
| ~ spl44_40
| ~ spl44_123
| ~ spl44_347 ),
inference(forward_demodulation,[],[f5085,f1046]) ).
fof(f5085,plain,
( e21 = h4(e10)
| ~ spl44_123
| ~ spl44_347 ),
inference(forward_demodulation,[],[f5083,f1438]) ).
fof(f1438,plain,
( e10 = op1(e11,e10)
| ~ spl44_123 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f5084,plain,
( spl44_347
| ~ spl44_40
| ~ spl44_237
| ~ spl44_253
| ~ spl44_313 ),
inference(avatar_split_clause,[],[f5053,f4605,f2109,f2025,f1045,f5081]) ).
fof(f5053,plain,
( e21 = h4(op1(e11,e10))
| ~ spl44_40
| ~ spl44_237
| ~ spl44_253
| ~ spl44_313 ),
inference(forward_demodulation,[],[f4752,f2111]) ).
fof(f5079,plain,
( spl44_346
| ~ spl44_52
| ~ spl44_80
| ~ spl44_237
| ~ spl44_314 ),
inference(avatar_split_clause,[],[f5050,f4609,f2025,f1236,f1099,f5076]) ).
fof(f5050,plain,
( e20 = h4(op1(e11,e11))
| ~ spl44_52
| ~ spl44_80
| ~ spl44_237
| ~ spl44_314 ),
inference(forward_demodulation,[],[f5049,f1100]) ).
fof(f5073,plain,
( ~ spl44_116
| ~ spl44_259
| ~ spl44_260 ),
inference(avatar_split_clause,[],[f4276,f2148,f2144,f1405]) ).
fof(f1405,plain,
( spl44_116
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_116])]) ).
fof(f4276,plain,
( ~ sP35
| ~ spl44_259
| ~ spl44_260 ),
inference(trivial_inequality_removal,[],[f4275]) ).
fof(f4275,plain,
( e11 != e11
| ~ sP35
| ~ spl44_259
| ~ spl44_260 ),
inference(forward_demodulation,[],[f4274,f2145]) ).
fof(f4274,plain,
( op1(e10,e10) != e11
| ~ sP35
| ~ spl44_260 ),
inference(trivial_inequality_removal,[],[f4273]) ).
fof(f4273,plain,
( e10 != e10
| op1(e10,e10) != e11
| ~ sP35
| ~ spl44_260 ),
inference(forward_demodulation,[],[f557,f2150]) ).
fof(f557,plain,
( e10 != op1(e10,e11)
| op1(e10,e10) != e11
| ~ sP35 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e13 = op1(e11,e13) )
| ~ sP35 ),
inference(nnf_transformation,[],[f58]) ).
fof(f5045,plain,
( spl44_129
| spl44_109
| spl44_23
| spl44_27
| ~ spl44_262
| ~ spl44_276 ),
inference(avatar_split_clause,[],[f4935,f2305,f2158,f983,f963,f1372,f1463]) ).
fof(f983,plain,
( spl44_27
<=> e11 = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_27])]) ).
fof(f4935,plain,
( e11 = e13
| e10 = e11
| e11 = op1(e13,e11)
| e11 = op1(e10,e11)
| ~ spl44_262
| ~ spl44_276 ),
inference(forward_demodulation,[],[f4503,f2307]) ).
fof(f4503,plain,
( e10 = e11
| e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e10,e11)
| ~ spl44_262 ),
inference(forward_demodulation,[],[f381,f2159]) ).
fof(f381,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) )
& ( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) )
& ( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) )
& ( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) )
& ( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) )
& ( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) )
& ( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) )
& ( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) )
& ( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) )
& ( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) )
& ( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) )
& ( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) )
& ( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) )
& ( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) )
& ( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) )
& ( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) )
& ( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) )
& ( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) )
& ( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) )
& ( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) )
& ( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) )
& ( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 )
& ( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 )
& ( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 )
& ( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 )
& ( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 )
& ( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) )
& ( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f5037,plain,
( spl44_345
| ~ spl44_58
| ~ spl44_78
| ~ spl44_233
| ~ spl44_239
| ~ spl44_297 ),
inference(avatar_split_clause,[],[f4136,f3659,f2036,f2004,f1226,f1126,f5034]) ).
fof(f4136,plain,
( e20 = h1(e11)
| ~ spl44_58
| ~ spl44_78
| ~ spl44_233
| ~ spl44_239
| ~ spl44_297 ),
inference(forward_demodulation,[],[f4135,f3747]) ).
fof(f3747,plain,
( e20 = h1(e10)
| ~ spl44_58
| ~ spl44_78
| ~ spl44_239
| ~ spl44_297 ),
inference(forward_demodulation,[],[f3589,f3661]) ).
fof(f3589,plain,
( h1(e10) = h1(e12)
| ~ spl44_58
| ~ spl44_78
| ~ spl44_239 ),
inference(forward_demodulation,[],[f3236,f1228]) ).
fof(f3236,plain,
( op2(e20,e20) = h1(e12)
| ~ spl44_58
| ~ spl44_239 ),
inference(superposition,[],[f2038,f1127]) ).
fof(f5031,plain,
( spl44_344
| ~ spl44_59
| ~ spl44_332 ),
inference(avatar_split_clause,[],[f4937,f4800,f1131,f4985]) ).
fof(f4985,plain,
( spl44_344
<=> e20 = h4(op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_344])]) ).
fof(f4800,plain,
( spl44_332
<=> op2(e23,e23) = h4(op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_332])]) ).
fof(f4937,plain,
( e20 = h4(op1(e12,e12))
| ~ spl44_59
| ~ spl44_332 ),
inference(forward_demodulation,[],[f4801,f1133]) ).
fof(f4801,plain,
( op2(e23,e23) = h4(op1(e12,e12))
| ~ spl44_332 ),
inference(avatar_component_clause,[],[f4800]) ).
fof(f5024,plain,
( spl44_267
| spl44_68
| spl44_25
| spl44_24
| ~ spl44_268
| ~ spl44_276 ),
inference(avatar_split_clause,[],[f4508,f2305,f2185,f968,f973,f1176,f2181]) ).
fof(f1176,plain,
( spl44_68
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_68])]) ).
fof(f4508,plain,
( e10 = e12
| e10 = e13
| e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| ~ spl44_268
| ~ spl44_276 ),
inference(forward_demodulation,[],[f4397,f2187]) ).
fof(f4397,plain,
( e10 = e13
| e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e10)
| ~ spl44_276 ),
inference(forward_demodulation,[],[f386,f2307]) ).
fof(f386,plain,
( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f5002,plain,
( spl44_5
| ~ spl44_237
| ~ spl44_299
| ~ spl44_343 ),
inference(avatar_split_clause,[],[f4981,f4976,f3895,f2025,f873]) ).
fof(f873,plain,
( spl44_5
<=> e21 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_5])]) ).
fof(f4976,plain,
( spl44_343
<=> e23 = h4(op1(e10,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_343])]) ).
fof(f4981,plain,
( e21 = e23
| ~ spl44_237
| ~ spl44_299
| ~ spl44_343 ),
inference(forward_demodulation,[],[f4980,f2027]) ).
fof(f4980,plain,
( e23 = h4(e11)
| ~ spl44_299
| ~ spl44_343 ),
inference(forward_demodulation,[],[f4978,f3897]) ).
fof(f4978,plain,
( e23 = h4(op1(e10,e12))
| ~ spl44_343 ),
inference(avatar_component_clause,[],[f4976]) ).
fof(f4991,plain,
( spl44_5
| ~ spl44_32
| ~ spl44_341 ),
inference(avatar_split_clause,[],[f4966,f4962,f1008,f873]) ).
fof(f4962,plain,
( spl44_341
<=> e21 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_341])]) ).
fof(f4966,plain,
( e21 = e23
| ~ spl44_32
| ~ spl44_341 ),
inference(superposition,[],[f4964,f1010]) ).
fof(f4964,plain,
( e21 = h4(e13)
| ~ spl44_341 ),
inference(avatar_component_clause,[],[f4962]) ).
fof(f4988,plain,
( ~ spl44_344
| ~ spl44_46
| ~ spl44_79
| ~ spl44_245
| spl44_319 ),
inference(avatar_split_clause,[],[f4951,f4629,f2070,f1231,f1072,f4985]) ).
fof(f4951,plain,
( e20 != h4(op1(e12,e12))
| ~ spl44_46
| ~ spl44_79
| ~ spl44_245
| spl44_319 ),
inference(forward_demodulation,[],[f4950,f1073]) ).
fof(f4950,plain,
( h3(e10) != h4(op1(e12,e12))
| ~ spl44_79
| ~ spl44_245
| spl44_319 ),
inference(forward_demodulation,[],[f4943,f1233]) ).
fof(f4943,plain,
( op2(e22,e22) != h4(op1(e12,e12))
| ~ spl44_245
| spl44_319 ),
inference(forward_demodulation,[],[f4631,f2072]) ).
fof(f4631,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl44_319 ),
inference(avatar_component_clause,[],[f4629]) ).
fof(f4982,plain,
( spl44_339
| ~ spl44_40
| ~ spl44_58
| ~ spl44_78
| ~ spl44_309 ),
inference(avatar_split_clause,[],[f4946,f4589,f1226,f1126,f1045,f4922]) ).
fof(f4946,plain,
( e20 = h4(op1(e10,e10))
| ~ spl44_40
| ~ spl44_58
| ~ spl44_78
| ~ spl44_309 ),
inference(forward_demodulation,[],[f4945,f1127]) ).
fof(f4979,plain,
( spl44_343
| ~ spl44_40
| ~ spl44_245
| ~ spl44_278
| ~ spl44_311 ),
inference(avatar_split_clause,[],[f4940,f4597,f2336,f2070,f1045,f4976]) ).
fof(f4597,plain,
( spl44_311
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_311])]) ).
fof(f4940,plain,
( e23 = h4(op1(e10,e12))
| ~ spl44_40
| ~ spl44_245
| ~ spl44_278
| ~ spl44_311 ),
inference(forward_demodulation,[],[f4761,f2338]) ).
fof(f4761,plain,
( op2(e20,e22) = h4(op1(e10,e12))
| ~ spl44_40
| ~ spl44_245
| ~ spl44_311 ),
inference(forward_demodulation,[],[f4760,f1046]) ).
fof(f4760,plain,
( h4(op1(e10,e12)) = op2(h4(e10),e22)
| ~ spl44_245
| ~ spl44_311 ),
inference(forward_demodulation,[],[f4598,f2072]) ).
fof(f4598,plain,
( h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
| ~ spl44_311 ),
inference(avatar_component_clause,[],[f4597]) ).
fof(f4972,plain,
( ~ spl44_342
| ~ spl44_40
| ~ spl44_133
| spl44_326 ),
inference(avatar_split_clause,[],[f4939,f4776,f1483,f1045,f4969]) ).
fof(f4776,plain,
( spl44_326
<=> h4(op1(e10,e12)) = op2(h4(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_326])]) ).
fof(f4939,plain,
( e22 != h4(op1(e10,e12))
| ~ spl44_40
| ~ spl44_133
| spl44_326 ),
inference(forward_demodulation,[],[f4868,f1485]) ).
fof(f4868,plain,
( op2(e20,e23) != h4(op1(e10,e12))
| ~ spl44_40
| spl44_326 ),
inference(forward_demodulation,[],[f4778,f1046]) ).
fof(f4778,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| spl44_326 ),
inference(avatar_component_clause,[],[f4776]) ).
fof(f4965,plain,
( spl44_341
| ~ spl44_302
| ~ spl44_340 ),
inference(avatar_split_clause,[],[f4960,f4956,f4003,f4962]) ).
fof(f4960,plain,
( e21 = h4(e13)
| ~ spl44_302
| ~ spl44_340 ),
inference(forward_demodulation,[],[f4958,f4005]) ).
fof(f4958,plain,
( e21 = h4(op1(e10,e11))
| ~ spl44_340 ),
inference(avatar_component_clause,[],[f4956]) ).
fof(f4959,plain,
( spl44_340
| ~ spl44_40
| ~ spl44_52
| ~ spl44_237
| ~ spl44_243
| ~ spl44_277
| ~ spl44_310 ),
inference(avatar_split_clause,[],[f4934,f4593,f2313,f2058,f2025,f1099,f1045,f4956]) ).
fof(f4934,plain,
( e21 = h4(op1(e10,e11))
| ~ spl44_40
| ~ spl44_52
| ~ spl44_237
| ~ spl44_243
| ~ spl44_277
| ~ spl44_310 ),
inference(forward_demodulation,[],[f4933,f2315]) ).
fof(f4933,plain,
( h2(e12) = h4(op1(e10,e11))
| ~ spl44_40
| ~ spl44_52
| ~ spl44_237
| ~ spl44_243
| ~ spl44_310 ),
inference(forward_demodulation,[],[f4766,f3602]) ).
fof(f4766,plain,
( op2(e20,e21) = h4(op1(e10,e11))
| ~ spl44_40
| ~ spl44_237
| ~ spl44_310 ),
inference(forward_demodulation,[],[f4765,f1046]) ).
fof(f4765,plain,
( h4(op1(e10,e11)) = op2(h4(e10),e21)
| ~ spl44_237
| ~ spl44_310 ),
inference(forward_demodulation,[],[f4594,f2027]) ).
fof(f4594,plain,
( h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
| ~ spl44_310 ),
inference(avatar_component_clause,[],[f4593]) ).
fof(f4949,plain,
( ~ spl44_254
| ~ spl44_59
| ~ spl44_245
| spl44_319
| ~ spl44_332 ),
inference(avatar_split_clause,[],[f4942,f4800,f4629,f2070,f1131,f2115]) ).
fof(f4942,plain,
( e20 != op2(e22,e22)
| ~ spl44_59
| ~ spl44_245
| spl44_319
| ~ spl44_332 ),
inference(forward_demodulation,[],[f4666,f4937]) ).
fof(f4666,plain,
( op2(e22,e22) != h4(op1(e12,e12))
| ~ spl44_245
| spl44_319 ),
inference(forward_demodulation,[],[f4631,f2072]) ).
fof(f4931,plain,
( spl44_25
| ~ spl44_298
| ~ spl44_303 ),
inference(avatar_split_clause,[],[f4926,f4007,f3887,f973]) ).
fof(f3887,plain,
( spl44_298
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_298])]) ).
fof(f4926,plain,
( e10 = e13
| ~ spl44_298
| ~ spl44_303 ),
inference(superposition,[],[f3889,f4009]) ).
fof(f3889,plain,
( e10 = op1(e10,e12)
| ~ spl44_298 ),
inference(avatar_component_clause,[],[f3887]) ).
fof(f4925,plain,
( ~ spl44_339
| ~ spl44_40
| ~ spl44_58
| ~ spl44_78
| spl44_309 ),
inference(avatar_split_clause,[],[f4917,f4589,f1226,f1126,f1045,f4922]) ).
fof(f4917,plain,
( e20 != h4(op1(e10,e10))
| ~ spl44_40
| ~ spl44_58
| ~ spl44_78
| spl44_309 ),
inference(forward_demodulation,[],[f4916,f1127]) ).
fof(f4916,plain,
( h1(e10) != h4(op1(e10,e10))
| ~ spl44_40
| ~ spl44_78
| spl44_309 ),
inference(forward_demodulation,[],[f4702,f1228]) ).
fof(f4702,plain,
( op2(e20,e20) != h4(op1(e10,e10))
| ~ spl44_40
| spl44_309 ),
inference(forward_demodulation,[],[f4591,f1046]) ).
fof(f4591,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl44_309 ),
inference(avatar_component_clause,[],[f4589]) ).
fof(f4910,plain,
( ~ spl44_35
| ~ spl44_245 ),
inference(avatar_split_clause,[],[f4908,f2070,f1023]) ).
fof(f1023,plain,
( spl44_35
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_35])]) ).
fof(f4908,plain,
( ~ sP11
| ~ spl44_245 ),
inference(trivial_inequality_removal,[],[f4907]) ).
fof(f4907,plain,
( e22 != e22
| ~ sP11
| ~ spl44_245 ),
inference(forward_demodulation,[],[f114,f2072]) ).
fof(f114,plain,
( e22 != h4(e12)
| ~ sP11 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP11 ),
inference(nnf_transformation,[],[f32]) ).
fof(f4905,plain,
( ~ spl44_37
| ~ spl44_237 ),
inference(avatar_split_clause,[],[f4901,f2025,f1032]) ).
fof(f1032,plain,
( spl44_37
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_37])]) ).
fof(f4901,plain,
( ~ sP10
| ~ spl44_237 ),
inference(trivial_inequality_removal,[],[f4900]) ).
fof(f4900,plain,
( e21 != e21
| ~ sP10
| ~ spl44_237 ),
inference(forward_demodulation,[],[f117,f2027]) ).
fof(f117,plain,
( e21 != h4(e11)
| ~ sP10 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP10 ),
inference(nnf_transformation,[],[f31]) ).
fof(f4899,plain,
( ~ spl44_58
| ~ spl44_78
| spl44_325 ),
inference(avatar_split_clause,[],[f4774,f4770,f1226,f1126]) ).
fof(f4774,plain,
( e20 != h1(e10)
| ~ spl44_78
| spl44_325 ),
inference(superposition,[],[f4772,f1228]) ).
fof(f4772,plain,
( e20 != op2(e20,e20)
| spl44_325 ),
inference(avatar_component_clause,[],[f4770]) ).
fof(f4894,plain,
( ~ spl44_133
| ~ spl44_32
| ~ spl44_40
| ~ spl44_165
| ~ spl44_245
| spl44_327 ),
inference(avatar_split_clause,[],[f4867,f4780,f2070,f1653,f1045,f1008,f1483]) ).
fof(f4780,plain,
( spl44_327
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_327])]) ).
fof(f4867,plain,
( e22 != op2(e20,e23)
| ~ spl44_32
| ~ spl44_40
| ~ spl44_165
| ~ spl44_245
| spl44_327 ),
inference(forward_demodulation,[],[f4866,f2072]) ).
fof(f4866,plain,
( op2(e20,e23) != h4(e12)
| ~ spl44_32
| ~ spl44_40
| ~ spl44_165
| spl44_327 ),
inference(forward_demodulation,[],[f4865,f1655]) ).
fof(f4865,plain,
( op2(e20,e23) != h4(op1(e10,e13))
| ~ spl44_32
| ~ spl44_40
| spl44_327 ),
inference(forward_demodulation,[],[f4864,f1046]) ).
fof(f4864,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e23)
| ~ spl44_32
| spl44_327 ),
inference(forward_demodulation,[],[f4782,f1010]) ).
fof(f4782,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| spl44_327 ),
inference(avatar_component_clause,[],[f4780]) ).
fof(f4889,plain,
( ~ spl44_95
| ~ spl44_32
| ~ spl44_117
| ~ spl44_237
| spl44_329 ),
inference(avatar_split_clause,[],[f4860,f4788,f2025,f1409,f1008,f1309]) ).
fof(f4788,plain,
( spl44_329
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_329])]) ).
fof(f4860,plain,
( e23 != op2(e21,e23)
| ~ spl44_32
| ~ spl44_117
| ~ spl44_237
| spl44_329 ),
inference(forward_demodulation,[],[f4859,f1010]) ).
fof(f4859,plain,
( op2(e21,e23) != h4(e13)
| ~ spl44_32
| ~ spl44_117
| ~ spl44_237
| spl44_329 ),
inference(forward_demodulation,[],[f4858,f1411]) ).
fof(f4858,plain,
( op2(e21,e23) != h4(op1(e11,e13))
| ~ spl44_32
| ~ spl44_237
| spl44_329 ),
inference(forward_demodulation,[],[f4857,f2027]) ).
fof(f4857,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e23)
| ~ spl44_32
| spl44_329 ),
inference(forward_demodulation,[],[f4790,f1010]) ).
fof(f4790,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| spl44_329 ),
inference(avatar_component_clause,[],[f4788]) ).
fof(f4886,plain,
( ~ spl44_59
| ~ spl44_40
| ~ spl44_267
| spl44_332 ),
inference(avatar_split_clause,[],[f4849,f4800,f2181,f1045,f1131]) ).
fof(f4849,plain,
( e20 != op2(e23,e23)
| ~ spl44_40
| ~ spl44_267
| spl44_332 ),
inference(forward_demodulation,[],[f4848,f1046]) ).
fof(f4848,plain,
( op2(e23,e23) != h4(e10)
| ~ spl44_267
| spl44_332 ),
inference(forward_demodulation,[],[f4802,f2182]) ).
fof(f4802,plain,
( op2(e23,e23) != h4(op1(e12,e12))
| spl44_332 ),
inference(avatar_component_clause,[],[f4800]) ).
fof(f4881,plain,
( ~ spl44_258
| ~ spl44_32
| ~ spl44_40
| ~ spl44_269
| spl44_334 ),
inference(avatar_split_clause,[],[f4843,f4808,f2190,f1045,f1008,f2135]) ).
fof(f4808,plain,
( spl44_334
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_334])]) ).
fof(f4843,plain,
( e23 != op2(e23,e20)
| ~ spl44_32
| ~ spl44_40
| ~ spl44_269
| spl44_334 ),
inference(forward_demodulation,[],[f4842,f1010]) ).
fof(f4842,plain,
( op2(e23,e20) != h4(e13)
| ~ spl44_32
| ~ spl44_40
| ~ spl44_269
| spl44_334 ),
inference(forward_demodulation,[],[f4841,f2192]) ).
fof(f4841,plain,
( op2(e23,e20) != h4(op1(e13,e10))
| ~ spl44_32
| ~ spl44_40
| spl44_334 ),
inference(forward_demodulation,[],[f4840,f1010]) ).
fof(f4840,plain,
( h4(op1(e13,e10)) != op2(h4(e13),e20)
| ~ spl44_40
| spl44_334 ),
inference(forward_demodulation,[],[f4810,f1046]) ).
fof(f4810,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| spl44_334 ),
inference(avatar_component_clause,[],[f4808]) ).
fof(f4876,plain,
( ~ spl44_272
| ~ spl44_32
| ~ spl44_237
| ~ spl44_245
| ~ spl44_308
| spl44_335 ),
inference(avatar_split_clause,[],[f4839,f4812,f4571,f2070,f2025,f1008,f2265]) ).
fof(f4839,plain,
( e22 != op2(e23,e21)
| ~ spl44_32
| ~ spl44_237
| ~ spl44_245
| ~ spl44_308
| spl44_335 ),
inference(forward_demodulation,[],[f4838,f2072]) ).
fof(f4838,plain,
( op2(e23,e21) != h4(e12)
| ~ spl44_32
| ~ spl44_237
| ~ spl44_308
| spl44_335 ),
inference(forward_demodulation,[],[f4837,f4573]) ).
fof(f4837,plain,
( op2(e23,e21) != h4(op1(e13,e11))
| ~ spl44_32
| ~ spl44_237
| spl44_335 ),
inference(forward_demodulation,[],[f4836,f1010]) ).
fof(f4836,plain,
( h4(op1(e13,e11)) != op2(h4(e13),e21)
| ~ spl44_237
| spl44_335 ),
inference(forward_demodulation,[],[f4814,f2027]) ).
fof(f4814,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| spl44_335 ),
inference(avatar_component_clause,[],[f4812]) ).
fof(f4872,plain,
( ~ spl44_59
| ~ spl44_32
| ~ spl44_40
| ~ spl44_60
| spl44_337 ),
inference(avatar_split_clause,[],[f4831,f4820,f1136,f1045,f1008,f1131]) ).
fof(f4820,plain,
( spl44_337
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_337])]) ).
fof(f4831,plain,
( e20 != op2(e23,e23)
| ~ spl44_32
| ~ spl44_40
| ~ spl44_60
| spl44_337 ),
inference(forward_demodulation,[],[f4830,f1046]) ).
fof(f4830,plain,
( op2(e23,e23) != h4(e10)
| ~ spl44_32
| ~ spl44_60
| spl44_337 ),
inference(forward_demodulation,[],[f4829,f1138]) ).
fof(f4829,plain,
( op2(e23,e23) != h4(op1(e13,e13))
| ~ spl44_32
| spl44_337 ),
inference(forward_demodulation,[],[f4822,f1010]) ).
fof(f4822,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| spl44_337 ),
inference(avatar_component_clause,[],[f4820]) ).
fof(f4827,plain,
( ~ spl44_309
| ~ spl44_310
| ~ spl44_326
| ~ spl44_327
| ~ spl44_313
| ~ spl44_314
| ~ spl44_328
| ~ spl44_329
| ~ spl44_330
| ~ spl44_331
| ~ spl44_332
| ~ spl44_333
| ~ spl44_334
| ~ spl44_335
| ~ spl44_336
| ~ spl44_337
| spl44_39
| spl44_37
| spl44_35
| ~ spl44_338 ),
inference(avatar_split_clause,[],[f647,f4824,f1023,f1032,f1041,f4820,f4816,f4812,f4808,f4804,f4800,f4796,f4792,f4788,f4784,f4609,f4605,f4780,f4776,f4593,f4589]) ).
fof(f4784,plain,
( spl44_328
<=> h4(op1(e11,e12)) = op2(h4(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_328])]) ).
fof(f4792,plain,
( spl44_330
<=> h4(op1(e12,e10)) = op2(e23,h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_330])]) ).
fof(f4796,plain,
( spl44_331
<=> h4(op1(e12,e11)) = op2(e23,h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_331])]) ).
fof(f4804,plain,
( spl44_333
<=> h4(op1(e12,e13)) = op2(e23,h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_333])]) ).
fof(f1041,plain,
( spl44_39
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_39])]) ).
fof(f4824,plain,
( spl44_338
<=> e23 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_338])]) ).
fof(f647,plain,
( e23 != h4(e12)
| sP11
| sP10
| sP9
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),e23)
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(e23,h4(e13))
| op2(e23,e23) != h4(op1(e12,e12))
| h4(op1(e12,e11)) != op2(e23,h4(e11))
| h4(op1(e12,e10)) != op2(e23,h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),e23)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(inner_rewriting,[],[f174]) ).
fof(f174,plain,
( e23 != h4(e12)
| sP11
| sP10
| sP9
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f4773,plain,
( ~ spl44_325
| ~ spl44_40
| ~ spl44_131
| spl44_309 ),
inference(avatar_split_clause,[],[f4704,f4589,f1472,f1045,f4770]) ).
fof(f4704,plain,
( e20 != op2(e20,e20)
| ~ spl44_40
| ~ spl44_131
| spl44_309 ),
inference(forward_demodulation,[],[f4703,f1046]) ).
fof(f4703,plain,
( op2(e20,e20) != h4(e10)
| ~ spl44_40
| ~ spl44_131
| spl44_309 ),
inference(forward_demodulation,[],[f4702,f1474]) ).
fof(f4764,plain,
( ~ spl44_105
| ~ spl44_40
| ~ spl44_129
| ~ spl44_237
| spl44_310 ),
inference(avatar_split_clause,[],[f4701,f4593,f2025,f1463,f1045,f1354]) ).
fof(f4701,plain,
( e21 != op2(e20,e21)
| ~ spl44_40
| ~ spl44_129
| ~ spl44_237
| spl44_310 ),
inference(forward_demodulation,[],[f4700,f2027]) ).
fof(f4700,plain,
( op2(e20,e21) != h4(e11)
| ~ spl44_40
| ~ spl44_129
| ~ spl44_237
| spl44_310 ),
inference(forward_demodulation,[],[f4699,f1465]) ).
fof(f4699,plain,
( op2(e20,e21) != h4(op1(e10,e11))
| ~ spl44_40
| ~ spl44_237
| spl44_310 ),
inference(forward_demodulation,[],[f4698,f1046]) ).
fof(f4698,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| ~ spl44_237
| spl44_310 ),
inference(forward_demodulation,[],[f4595,f2027]) ).
fof(f4759,plain,
( ~ spl44_278
| ~ spl44_32
| ~ spl44_40
| ~ spl44_245
| ~ spl44_303
| spl44_311 ),
inference(avatar_split_clause,[],[f4697,f4597,f4007,f2070,f1045,f1008,f2336]) ).
fof(f4697,plain,
( e23 != op2(e20,e22)
| ~ spl44_32
| ~ spl44_40
| ~ spl44_245
| ~ spl44_303
| spl44_311 ),
inference(forward_demodulation,[],[f4696,f1010]) ).
fof(f4696,plain,
( op2(e20,e22) != h4(e13)
| ~ spl44_40
| ~ spl44_245
| ~ spl44_303
| spl44_311 ),
inference(forward_demodulation,[],[f4695,f4009]) ).
fof(f4695,plain,
( op2(e20,e22) != h4(op1(e10,e12))
| ~ spl44_40
| ~ spl44_245
| spl44_311 ),
inference(forward_demodulation,[],[f4694,f1046]) ).
fof(f4694,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e22)
| ~ spl44_245
| spl44_311 ),
inference(forward_demodulation,[],[f4599,f2072]) ).
fof(f4599,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| spl44_311 ),
inference(avatar_component_clause,[],[f4597]) ).
fof(f4755,plain,
( ~ spl44_133
| ~ spl44_40
| ~ spl44_165
| ~ spl44_245
| spl44_312 ),
inference(avatar_split_clause,[],[f4693,f4601,f2070,f1653,f1045,f1483]) ).
fof(f4601,plain,
( spl44_312
<=> h4(op1(e10,e13)) = op2(h4(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_312])]) ).
fof(f4693,plain,
( e22 != op2(e20,e23)
| ~ spl44_40
| ~ spl44_165
| ~ spl44_245
| spl44_312 ),
inference(forward_demodulation,[],[f4692,f2072]) ).
fof(f4692,plain,
( op2(e20,e23) != h4(e12)
| ~ spl44_40
| ~ spl44_165
| spl44_312 ),
inference(forward_demodulation,[],[f4691,f1655]) ).
fof(f4691,plain,
( op2(e20,e23) != h4(op1(e10,e13))
| ~ spl44_40
| spl44_312 ),
inference(forward_demodulation,[],[f4603,f1046]) ).
fof(f4603,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e23)
| spl44_312 ),
inference(avatar_component_clause,[],[f4601]) ).
fof(f4750,plain,
( ~ spl44_253
| ~ spl44_40
| ~ spl44_237
| ~ spl44_263
| spl44_313 ),
inference(avatar_split_clause,[],[f4690,f4605,f2162,f2025,f1045,f2109]) ).
fof(f4690,plain,
( e21 != op2(e21,e20)
| ~ spl44_40
| ~ spl44_237
| ~ spl44_263
| spl44_313 ),
inference(forward_demodulation,[],[f4689,f2027]) ).
fof(f4689,plain,
( op2(e21,e20) != h4(e11)
| ~ spl44_40
| ~ spl44_237
| ~ spl44_263
| spl44_313 ),
inference(forward_demodulation,[],[f4688,f2164]) ).
fof(f4688,plain,
( op2(e21,e20) != h4(op1(e11,e10))
| ~ spl44_40
| ~ spl44_237
| spl44_313 ),
inference(forward_demodulation,[],[f4687,f2027]) ).
fof(f4687,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e20)
| ~ spl44_40
| spl44_313 ),
inference(forward_demodulation,[],[f4607,f1046]) ).
fof(f4746,plain,
( ~ spl44_252
| ~ spl44_40
| ~ spl44_237
| ~ spl44_262
| spl44_314 ),
inference(avatar_split_clause,[],[f4686,f4609,f2158,f2025,f1045,f2105]) ).
fof(f4686,plain,
( e20 != op2(e21,e21)
| ~ spl44_40
| ~ spl44_237
| ~ spl44_262
| spl44_314 ),
inference(forward_demodulation,[],[f4685,f1046]) ).
fof(f4685,plain,
( op2(e21,e21) != h4(e10)
| ~ spl44_237
| ~ spl44_262
| spl44_314 ),
inference(forward_demodulation,[],[f4684,f2159]) ).
fof(f4684,plain,
( op2(e21,e21) != h4(op1(e11,e11))
| ~ spl44_237
| spl44_314 ),
inference(forward_demodulation,[],[f4611,f2027]) ).
fof(f4611,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl44_314 ),
inference(avatar_component_clause,[],[f4609]) ).
fof(f4741,plain,
( ~ spl44_97
| ~ spl44_119
| ~ spl44_237
| ~ spl44_245
| spl44_315 ),
inference(avatar_split_clause,[],[f4683,f4613,f2070,f2025,f1418,f1318]) ).
fof(f4683,plain,
( e22 != op2(e21,e22)
| ~ spl44_119
| ~ spl44_237
| ~ spl44_245
| spl44_315 ),
inference(forward_demodulation,[],[f4682,f2072]) ).
fof(f4682,plain,
( op2(e21,e22) != h4(e12)
| ~ spl44_119
| ~ spl44_237
| ~ spl44_245
| spl44_315 ),
inference(forward_demodulation,[],[f4681,f1420]) ).
fof(f4681,plain,
( op2(e21,e22) != h4(op1(e11,e12))
| ~ spl44_237
| ~ spl44_245
| spl44_315 ),
inference(forward_demodulation,[],[f4680,f2027]) ).
fof(f4680,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e22)
| ~ spl44_245
| spl44_315 ),
inference(forward_demodulation,[],[f4615,f2072]) ).
fof(f4615,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| spl44_315 ),
inference(avatar_component_clause,[],[f4613]) ).
fof(f4737,plain,
( ~ spl44_95
| ~ spl44_32
| ~ spl44_117
| ~ spl44_237
| spl44_316 ),
inference(avatar_split_clause,[],[f4679,f4617,f2025,f1409,f1008,f1309]) ).
fof(f4617,plain,
( spl44_316
<=> h4(op1(e11,e13)) = op2(h4(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_316])]) ).
fof(f4679,plain,
( e23 != op2(e21,e23)
| ~ spl44_32
| ~ spl44_117
| ~ spl44_237
| spl44_316 ),
inference(forward_demodulation,[],[f4678,f1010]) ).
fof(f4678,plain,
( op2(e21,e23) != h4(e13)
| ~ spl44_117
| ~ spl44_237
| spl44_316 ),
inference(forward_demodulation,[],[f4677,f1411]) ).
fof(f4677,plain,
( op2(e21,e23) != h4(op1(e11,e13))
| ~ spl44_237
| spl44_316 ),
inference(forward_demodulation,[],[f4619,f2027]) ).
fof(f4619,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e23)
| spl44_316 ),
inference(avatar_component_clause,[],[f4617]) ).
fof(f4732,plain,
( ~ spl44_255
| ~ spl44_40
| ~ spl44_245
| ~ spl44_268
| spl44_317 ),
inference(avatar_split_clause,[],[f4676,f4621,f2185,f2070,f1045,f2119]) ).
fof(f4676,plain,
( e22 != op2(e22,e20)
| ~ spl44_40
| ~ spl44_245
| ~ spl44_268
| spl44_317 ),
inference(forward_demodulation,[],[f4675,f2072]) ).
fof(f4675,plain,
( op2(e22,e20) != h4(e12)
| ~ spl44_40
| ~ spl44_245
| ~ spl44_268
| spl44_317 ),
inference(forward_demodulation,[],[f4674,f2187]) ).
fof(f4674,plain,
( op2(e22,e20) != h4(op1(e12,e10))
| ~ spl44_40
| ~ spl44_245
| spl44_317 ),
inference(forward_demodulation,[],[f4673,f2072]) ).
fof(f4673,plain,
( h4(op1(e12,e10)) != op2(h4(e12),e20)
| ~ spl44_40
| spl44_317 ),
inference(forward_demodulation,[],[f4623,f1046]) ).
fof(f4623,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| spl44_317 ),
inference(avatar_component_clause,[],[f4621]) ).
fof(f4727,plain,
( ~ spl44_284
| ~ spl44_32
| ~ spl44_237
| ~ spl44_245
| ~ spl44_276
| spl44_318 ),
inference(avatar_split_clause,[],[f4672,f4625,f2305,f2070,f2025,f1008,f2448]) ).
fof(f4625,plain,
( spl44_318
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_318])]) ).
fof(f4672,plain,
( e23 != op2(e22,e21)
| ~ spl44_32
| ~ spl44_237
| ~ spl44_245
| ~ spl44_276
| spl44_318 ),
inference(forward_demodulation,[],[f4671,f1010]) ).
fof(f4671,plain,
( op2(e22,e21) != h4(e13)
| ~ spl44_237
| ~ spl44_245
| ~ spl44_276
| spl44_318 ),
inference(forward_demodulation,[],[f4670,f2307]) ).
fof(f4670,plain,
( op2(e22,e21) != h4(op1(e12,e11))
| ~ spl44_237
| ~ spl44_245
| spl44_318 ),
inference(forward_demodulation,[],[f4669,f2072]) ).
fof(f4669,plain,
( h4(op1(e12,e11)) != op2(h4(e12),e21)
| ~ spl44_237
| spl44_318 ),
inference(forward_demodulation,[],[f4627,f2027]) ).
fof(f4627,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| spl44_318 ),
inference(avatar_component_clause,[],[f4625]) ).
fof(f4723,plain,
( ~ spl44_254
| ~ spl44_40
| ~ spl44_245
| ~ spl44_267
| spl44_319 ),
inference(avatar_split_clause,[],[f4668,f4629,f2181,f2070,f1045,f2115]) ).
fof(f4668,plain,
( e20 != op2(e22,e22)
| ~ spl44_40
| ~ spl44_245
| ~ spl44_267
| spl44_319 ),
inference(forward_demodulation,[],[f4667,f1046]) ).
fof(f4667,plain,
( op2(e22,e22) != h4(e10)
| ~ spl44_245
| ~ spl44_267
| spl44_319 ),
inference(forward_demodulation,[],[f4666,f2182]) ).
fof(f4719,plain,
( ~ spl44_258
| ~ spl44_32
| ~ spl44_40
| ~ spl44_269
| spl44_321 ),
inference(avatar_split_clause,[],[f4663,f4637,f2190,f1045,f1008,f2135]) ).
fof(f4637,plain,
( spl44_321
<=> h4(op1(e13,e10)) = op2(e23,h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_321])]) ).
fof(f4663,plain,
( e23 != op2(e23,e20)
| ~ spl44_32
| ~ spl44_40
| ~ spl44_269
| spl44_321 ),
inference(forward_demodulation,[],[f4662,f1010]) ).
fof(f4662,plain,
( op2(e23,e20) != h4(e13)
| ~ spl44_40
| ~ spl44_269
| spl44_321 ),
inference(forward_demodulation,[],[f4661,f2192]) ).
fof(f4661,plain,
( op2(e23,e20) != h4(op1(e13,e10))
| ~ spl44_40
| spl44_321 ),
inference(forward_demodulation,[],[f4639,f1046]) ).
fof(f4639,plain,
( h4(op1(e13,e10)) != op2(e23,h4(e10))
| spl44_321 ),
inference(avatar_component_clause,[],[f4637]) ).
fof(f4715,plain,
( ~ spl44_272
| ~ spl44_237
| ~ spl44_245
| ~ spl44_308
| spl44_322 ),
inference(avatar_split_clause,[],[f4660,f4641,f4571,f2070,f2025,f2265]) ).
fof(f4660,plain,
( e22 != op2(e23,e21)
| ~ spl44_237
| ~ spl44_245
| ~ spl44_308
| spl44_322 ),
inference(forward_demodulation,[],[f4659,f2072]) ).
fof(f4659,plain,
( op2(e23,e21) != h4(e12)
| ~ spl44_237
| ~ spl44_308
| spl44_322 ),
inference(forward_demodulation,[],[f4658,f4573]) ).
fof(f4658,plain,
( op2(e23,e21) != h4(op1(e13,e11))
| ~ spl44_237
| spl44_322 ),
inference(forward_demodulation,[],[f4643,f2027]) ).
fof(f4643,plain,
( h4(op1(e13,e11)) != op2(e23,h4(e11))
| spl44_322 ),
inference(avatar_component_clause,[],[f4641]) ).
fof(f4711,plain,
( ~ spl44_281
| ~ spl44_237
| ~ spl44_245
| ~ spl44_274
| spl44_323 ),
inference(avatar_split_clause,[],[f4657,f4645,f2286,f2070,f2025,f2416]) ).
fof(f4657,plain,
( e21 != op2(e23,e22)
| ~ spl44_237
| ~ spl44_245
| ~ spl44_274
| spl44_323 ),
inference(forward_demodulation,[],[f4656,f2027]) ).
fof(f4656,plain,
( op2(e23,e22) != h4(e11)
| ~ spl44_245
| ~ spl44_274
| spl44_323 ),
inference(forward_demodulation,[],[f4655,f2288]) ).
fof(f4655,plain,
( op2(e23,e22) != h4(op1(e13,e12))
| ~ spl44_245
| spl44_323 ),
inference(forward_demodulation,[],[f4647,f2072]) ).
fof(f4647,plain,
( h4(op1(e13,e12)) != op2(e23,h4(e12))
| spl44_323 ),
inference(avatar_component_clause,[],[f4645]) ).
fof(f4708,plain,
( ~ spl44_59
| ~ spl44_40
| ~ spl44_60
| spl44_324 ),
inference(avatar_split_clause,[],[f4654,f4649,f1136,f1045,f1131]) ).
fof(f4649,plain,
( spl44_324
<=> op2(e23,e23) = h4(op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_324])]) ).
fof(f4654,plain,
( e20 != op2(e23,e23)
| ~ spl44_40
| ~ spl44_60
| spl44_324 ),
inference(forward_demodulation,[],[f4653,f1046]) ).
fof(f4653,plain,
( op2(e23,e23) != h4(e10)
| ~ spl44_60
| spl44_324 ),
inference(forward_demodulation,[],[f4651,f1138]) ).
fof(f4651,plain,
( op2(e23,e23) != h4(op1(e13,e13))
| spl44_324 ),
inference(avatar_component_clause,[],[f4649]) ).
fof(f4705,plain,
( ~ spl44_237
| ~ spl44_61
| ~ spl44_134
| spl44_320 ),
inference(avatar_split_clause,[],[f4665,f4633,f1489,f1141,f2025]) ).
fof(f1489,plain,
( spl44_134
<=> e21 = op2(h4(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_134])]) ).
fof(f4633,plain,
( spl44_320
<=> h4(op1(e12,e13)) = op2(h4(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_320])]) ).
fof(f4665,plain,
( e21 != h4(e11)
| ~ spl44_61
| ~ spl44_134
| spl44_320 ),
inference(forward_demodulation,[],[f4664,f1143]) ).
fof(f4664,plain,
( e21 != h4(op1(e12,e13))
| ~ spl44_134
| spl44_320 ),
inference(forward_demodulation,[],[f4635,f1491]) ).
fof(f1491,plain,
( e21 = op2(h4(e12),e23)
| ~ spl44_134 ),
inference(avatar_component_clause,[],[f1489]) ).
fof(f4635,plain,
( h4(op1(e12,e13)) != op2(h4(e12),e23)
| spl44_320 ),
inference(avatar_component_clause,[],[f4633]) ).
fof(f4652,plain,
( ~ spl44_309
| ~ spl44_310
| ~ spl44_311
| ~ spl44_312
| ~ spl44_313
| ~ spl44_314
| ~ spl44_315
| ~ spl44_316
| ~ spl44_317
| ~ spl44_318
| ~ spl44_319
| ~ spl44_320
| ~ spl44_321
| ~ spl44_322
| ~ spl44_323
| ~ spl44_324
| spl44_39
| spl44_37
| spl44_35
| ~ spl44_32 ),
inference(avatar_split_clause,[],[f646,f1008,f1023,f1032,f1041,f4649,f4645,f4641,f4637,f4633,f4629,f4625,f4621,f4617,f4613,f4609,f4605,f4601,f4597,f4593,f4589]) ).
fof(f646,plain,
( e23 != h4(e13)
| sP11
| sP10
| sP9
| op2(e23,e23) != h4(op1(e13,e13))
| h4(op1(e13,e12)) != op2(e23,h4(e12))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(inner_rewriting,[],[f175]) ).
fof(f175,plain,
( e23 != h4(e13)
| sP11
| sP10
| sP9
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f4580,plain,
( spl44_267
| spl44_62
| spl44_24
| spl44_25
| ~ spl44_119
| ~ spl44_303 ),
inference(avatar_split_clause,[],[f4401,f4007,f1418,f973,f968,f1146,f2181]) ).
fof(f1146,plain,
( spl44_62
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_62])]) ).
fof(f4401,plain,
( e10 = e13
| e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| ~ spl44_119
| ~ spl44_303 ),
inference(forward_demodulation,[],[f4400,f4009]) ).
fof(f4400,plain,
( e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e10,e12)
| ~ spl44_119 ),
inference(forward_demodulation,[],[f387,f1420]) ).
fof(f387,plain,
( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f4574,plain,
( spl44_308
| spl44_24
| spl44_28
| spl44_26
| ~ spl44_269
| ~ spl44_274 ),
inference(avatar_split_clause,[],[f4245,f2286,f2190,f978,f988,f968,f4571]) ).
fof(f988,plain,
( spl44_28
<=> e12 = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_28])]) ).
fof(f978,plain,
( spl44_26
<=> e11 = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_26])]) ).
fof(f4245,plain,
( e11 = e12
| e12 = e13
| e10 = e12
| e12 = op1(e13,e11)
| ~ spl44_269
| ~ spl44_274 ),
inference(forward_demodulation,[],[f4186,f2288]) ).
fof(f4186,plain,
( e12 = e13
| e10 = e12
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| ~ spl44_269 ),
inference(forward_demodulation,[],[f739,f2192]) ).
fof(f739,plain,
( e10 = e12
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) ),
inference(forward_demodulation,[],[f398,f223]) ).
fof(f398,plain,
( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f4561,plain,
( spl44_307
| ~ spl44_52
| ~ spl44_80
| ~ spl44_235
| ~ spl44_277 ),
inference(avatar_split_clause,[],[f3884,f2313,f2014,f1236,f1099,f4558]) ).
fof(f3884,plain,
( e20 = h2(e11)
| ~ spl44_52
| ~ spl44_80
| ~ spl44_235
| ~ spl44_277 ),
inference(forward_demodulation,[],[f2805,f1100]) ).
fof(f4552,plain,
( spl44_28
| spl44_27
| ~ spl44_112
| ~ spl44_119
| ~ spl44_274
| ~ spl44_299 ),
inference(avatar_split_clause,[],[f4516,f3895,f2286,f1418,f1386,f983,f988]) ).
fof(f1386,plain,
( spl44_112
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_112])]) ).
fof(f4516,plain,
( e11 = e13
| e12 = e13
| ~ spl44_112
| ~ spl44_119
| ~ spl44_274
| ~ spl44_299 ),
inference(duplicate_literal_removal,[],[f4515]) ).
fof(f4515,plain,
( e11 = e13
| e12 = e13
| e11 = e13
| ~ spl44_112
| ~ spl44_119
| ~ spl44_274
| ~ spl44_299 ),
inference(forward_demodulation,[],[f4514,f3897]) ).
fof(f4514,plain,
( e12 = e13
| e11 = e13
| e13 = op1(e10,e12)
| ~ spl44_112
| ~ spl44_119
| ~ spl44_274 ),
inference(duplicate_literal_removal,[],[f4513]) ).
fof(f4513,plain,
( e12 = e13
| e11 = e13
| e12 = e13
| e13 = op1(e10,e12)
| ~ spl44_112
| ~ spl44_119
| ~ spl44_274 ),
inference(forward_demodulation,[],[f4512,f1420]) ).
fof(f4512,plain,
( e11 = e13
| e12 = e13
| e13 = op1(e11,e12)
| e13 = op1(e10,e12)
| ~ spl44_112
| ~ spl44_274 ),
inference(forward_demodulation,[],[f4346,f2288]) ).
fof(f4346,plain,
( e12 = e13
| e13 = op1(e13,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12)
| ~ spl44_112 ),
inference(forward_demodulation,[],[f393,f1388]) ).
fof(f1388,plain,
( e12 = op1(e12,e12)
| ~ spl44_112 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f393,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f4497,plain,
( spl44_28
| ~ spl44_268
| ~ spl44_275 ),
inference(avatar_split_clause,[],[f4494,f2301,f2185,f988]) ).
fof(f2301,plain,
( spl44_275
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_275])]) ).
fof(f4494,plain,
( e12 = e13
| ~ spl44_268
| ~ spl44_275 ),
inference(forward_demodulation,[],[f2303,f2187]) ).
fof(f2303,plain,
( e13 = op1(e12,e10)
| ~ spl44_275 ),
inference(avatar_component_clause,[],[f2301]) ).
fof(f4486,plain,
( spl44_246
| spl44_28
| spl44_27
| ~ spl44_107
| ~ spl44_119
| ~ spl44_299 ),
inference(avatar_split_clause,[],[f4476,f3895,f1418,f1363,f983,f988,f2076]) ).
fof(f2076,plain,
( spl44_246
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_246])]) ).
fof(f4476,plain,
( e11 = e13
| e12 = e13
| e13 = op1(e12,e12)
| ~ spl44_107
| ~ spl44_119
| ~ spl44_299 ),
inference(forward_demodulation,[],[f4475,f3897]) ).
fof(f4475,plain,
( e12 = e13
| e13 = op1(e12,e12)
| e13 = op1(e10,e12)
| ~ spl44_107
| ~ spl44_119 ),
inference(duplicate_literal_removal,[],[f4474]) ).
fof(f4474,plain,
( e12 = e13
| e12 = e13
| e13 = op1(e12,e12)
| e13 = op1(e10,e12)
| ~ spl44_107
| ~ spl44_119 ),
inference(forward_demodulation,[],[f4105,f1420]) ).
fof(f4105,plain,
( e12 = e13
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12)
| ~ spl44_107 ),
inference(forward_demodulation,[],[f393,f1365]) ).
fof(f4473,plain,
( spl44_107
| spl44_24
| spl44_28
| spl44_26
| ~ spl44_109
| ~ spl44_269 ),
inference(avatar_split_clause,[],[f4345,f2190,f1372,f978,f988,f968,f1363]) ).
fof(f4345,plain,
( e11 = e12
| e12 = e13
| e10 = e12
| e12 = op1(e13,e12)
| ~ spl44_109
| ~ spl44_269 ),
inference(forward_demodulation,[],[f4186,f1374]) ).
fof(f4460,plain,
( spl44_28
| spl44_24
| spl44_26
| ~ spl44_109
| ~ spl44_129
| ~ spl44_262
| ~ spl44_276 ),
inference(avatar_split_clause,[],[f4449,f2305,f2158,f1463,f1372,f978,f968,f988]) ).
fof(f4449,plain,
( e11 = e12
| e10 = e12
| e12 = e13
| ~ spl44_109
| ~ spl44_129
| ~ spl44_262
| ~ spl44_276 ),
inference(duplicate_literal_removal,[],[f4448]) ).
fof(f4448,plain,
( e11 = e12
| e10 = e12
| e11 = e12
| e12 = e13
| ~ spl44_109
| ~ spl44_129
| ~ spl44_262
| ~ spl44_276 ),
inference(forward_demodulation,[],[f4447,f1465]) ).
fof(f4447,plain,
( e10 = e12
| e11 = e12
| e12 = e13
| e12 = op1(e10,e11)
| ~ spl44_109
| ~ spl44_262
| ~ spl44_276 ),
inference(forward_demodulation,[],[f4446,f2159]) ).
fof(f4446,plain,
( e11 = e12
| e12 = e13
| e12 = op1(e11,e11)
| e12 = op1(e10,e11)
| ~ spl44_109
| ~ spl44_276 ),
inference(forward_demodulation,[],[f4188,f1374]) ).
fof(f4188,plain,
( e12 = e13
| e12 = op1(e13,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11)
| ~ spl44_276 ),
inference(forward_demodulation,[],[f383,f2307]) ).
fof(f383,plain,
( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f4441,plain,
( spl44_23
| ~ spl44_121
| ~ spl44_262 ),
inference(avatar_split_clause,[],[f4422,f2158,f1427,f963]) ).
fof(f4422,plain,
( e10 = e11
| ~ spl44_121
| ~ spl44_262 ),
inference(superposition,[],[f2159,f1429]) ).
fof(f1429,plain,
( e11 = op1(e11,e11)
| ~ spl44_121 ),
inference(avatar_component_clause,[],[f1427]) ).
fof(f4420,plain,
( ~ spl44_127
| ~ spl44_165
| spl44_193 ),
inference(avatar_split_clause,[],[f1803,f1799,f1653,f1454]) ).
fof(f1454,plain,
( spl44_127
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_127])]) ).
fof(f1799,plain,
( spl44_193
<=> op1(e10,e12) = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_193])]) ).
fof(f1803,plain,
( e12 != op1(e10,e12)
| ~ spl44_165
| spl44_193 ),
inference(forward_demodulation,[],[f1801,f1655]) ).
fof(f1801,plain,
( op1(e10,e12) != op1(e10,e13)
| spl44_193 ),
inference(avatar_component_clause,[],[f1799]) ).
fof(f4396,plain,
( spl44_24
| ~ spl44_119
| ~ spl44_304 ),
inference(avatar_split_clause,[],[f4354,f4014,f1418,f968]) ).
fof(f4014,plain,
( spl44_304
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_304])]) ).
fof(f4354,plain,
( e10 = e12
| ~ spl44_119
| ~ spl44_304 ),
inference(forward_demodulation,[],[f1420,f4016]) ).
fof(f4016,plain,
( e10 = op1(e11,e12)
| ~ spl44_304 ),
inference(avatar_component_clause,[],[f4014]) ).
fof(f4383,plain,
( spl44_24
| ~ spl44_115
| ~ spl44_268 ),
inference(avatar_split_clause,[],[f4351,f2185,f1400,f968]) ).
fof(f1400,plain,
( spl44_115
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_115])]) ).
fof(f4351,plain,
( e10 = e12
| ~ spl44_115
| ~ spl44_268 ),
inference(forward_demodulation,[],[f2187,f1402]) ).
fof(f1402,plain,
( e10 = op1(e12,e10)
| ~ spl44_115 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f4355,plain,
( spl44_27
| ~ spl44_129
| ~ spl44_302 ),
inference(avatar_split_clause,[],[f4350,f4003,f1463,f983]) ).
fof(f4350,plain,
( e11 = e13
| ~ spl44_129
| ~ spl44_302 ),
inference(forward_demodulation,[],[f4005,f1465]) ).
fof(f4327,plain,
( spl44_27
| ~ spl44_269
| ~ spl44_273 ),
inference(avatar_split_clause,[],[f3965,f2282,f2190,f983]) ).
fof(f2282,plain,
( spl44_273
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_273])]) ).
fof(f3965,plain,
( e11 = e13
| ~ spl44_269
| ~ spl44_273 ),
inference(superposition,[],[f2284,f2192]) ).
fof(f2284,plain,
( e11 = op1(e13,e10)
| ~ spl44_273 ),
inference(avatar_component_clause,[],[f2282]) ).
fof(f4323,plain,
( ~ spl44_128
| ~ spl44_269 ),
inference(avatar_split_clause,[],[f4322,f2190,f1459]) ).
fof(f1459,plain,
( spl44_128
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_128])]) ).
fof(f4322,plain,
( ~ sP29
| ~ spl44_269 ),
inference(trivial_inequality_removal,[],[f4321]) ).
fof(f4321,plain,
( e13 != e13
| ~ sP29
| ~ spl44_269 ),
inference(forward_demodulation,[],[f845,f2192]) ).
fof(f845,plain,
( e13 != op1(e13,e10)
| ~ sP29 ),
inference(trivial_inequality_removal,[],[f844]) ).
fof(f844,plain,
( e10 != e10
| e13 != op1(e13,e10)
| ~ sP29 ),
inference(forward_demodulation,[],[f590,f223]) ).
fof(f590,plain,
( e13 != op1(e13,e10)
| e10 != op1(e13,e13)
| ~ sP29 ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e11 = op1(e10,e11) )
| ~ sP29 ),
inference(nnf_transformation,[],[f52]) ).
fof(f4320,plain,
( ~ spl44_130
| ~ spl44_269 ),
inference(avatar_split_clause,[],[f4298,f2190,f1468]) ).
fof(f1468,plain,
( spl44_130
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_130])]) ).
fof(f4298,plain,
( ~ sP28
| ~ spl44_269 ),
inference(trivial_inequality_removal,[],[f4297]) ).
fof(f4297,plain,
( e13 != e13
| ~ sP28
| ~ spl44_269 ),
inference(forward_demodulation,[],[f847,f2192]) ).
fof(f847,plain,
( e13 != op1(e13,e10)
| ~ sP28 ),
inference(trivial_inequality_removal,[],[f846]) ).
fof(f846,plain,
( e10 != e10
| e13 != op1(e13,e10)
| ~ sP28 ),
inference(forward_demodulation,[],[f595,f223]) ).
fof(f595,plain,
( e13 != op1(e13,e10)
| e10 != op1(e13,e13)
| ~ sP28 ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e10,e10) )
| ~ sP28 ),
inference(nnf_transformation,[],[f51]) ).
fof(f4289,plain,
( spl44_24
| ~ spl44_107
| ~ spl44_269
| ~ spl44_273
| ~ spl44_304 ),
inference(avatar_split_clause,[],[f4288,f4014,f2282,f2190,f1363,f968]) ).
fof(f4288,plain,
( e10 = e12
| ~ spl44_107
| ~ spl44_269
| ~ spl44_273
| ~ spl44_304 ),
inference(forward_demodulation,[],[f4287,f4016]) ).
fof(f4287,plain,
( e12 = op1(e11,e12)
| ~ spl44_107
| ~ spl44_269
| ~ spl44_273 ),
inference(forward_demodulation,[],[f1365,f3965]) ).
fof(f4277,plain,
( ~ spl44_116
| ~ spl44_259
| ~ spl44_260 ),
inference(avatar_split_clause,[],[f4276,f2148,f2144,f1405]) ).
fof(f4272,plain,
( ~ spl44_120
| ~ spl44_121 ),
inference(avatar_split_clause,[],[f4271,f1427,f1423]) ).
fof(f1423,plain,
( spl44_120
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_120])]) ).
fof(f4271,plain,
( ~ sP33
| ~ spl44_121 ),
inference(trivial_inequality_removal,[],[f4270]) ).
fof(f4270,plain,
( e11 != e11
| ~ sP33
| ~ spl44_121 ),
inference(forward_demodulation,[],[f619,f1429]) ).
fof(f619,plain,
( e11 != op1(e11,e11)
| ~ sP33 ),
inference(duplicate_literal_removal,[],[f568]) ).
fof(f568,plain,
( e11 != op1(e11,e11)
| e11 != op1(e11,e11)
| ~ sP33 ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e11 = op1(e11,e11) )
| ~ sP33 ),
inference(nnf_transformation,[],[f56]) ).
fof(f4269,plain,
( ~ spl44_114
| ~ spl44_112 ),
inference(avatar_split_clause,[],[f4262,f1386,f1396]) ).
fof(f1396,plain,
( spl44_114
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_114])]) ).
fof(f4262,plain,
( ~ sP36
| ~ spl44_112 ),
inference(trivial_inequality_removal,[],[f4261]) ).
fof(f4261,plain,
( e12 != e12
| ~ sP36
| ~ spl44_112 ),
inference(forward_demodulation,[],[f622,f1388]) ).
fof(f622,plain,
( e12 != op1(e12,e12)
| ~ sP36 ),
inference(duplicate_literal_removal,[],[f554]) ).
fof(f554,plain,
( e12 != op1(e12,e12)
| e12 != op1(e12,e12)
| ~ sP36 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e10 = op1(e12,e10) )
| ~ sP36 ),
inference(nnf_transformation,[],[f59]) ).
fof(f4258,plain,
( spl44_25
| ~ spl44_115
| ~ spl44_275 ),
inference(avatar_split_clause,[],[f4257,f2301,f1400,f973]) ).
fof(f4257,plain,
( e10 = e13
| ~ spl44_115
| ~ spl44_275 ),
inference(forward_demodulation,[],[f2303,f1402]) ).
fof(f4244,plain,
( spl44_28
| ~ spl44_276
| ~ spl44_305 ),
inference(avatar_split_clause,[],[f4225,f4177,f2305,f988]) ).
fof(f4177,plain,
( spl44_305
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_305])]) ).
fof(f4225,plain,
( e12 = e13
| ~ spl44_276
| ~ spl44_305 ),
inference(superposition,[],[f2307,f4179]) ).
fof(f4179,plain,
( e12 = op1(e12,e11)
| ~ spl44_305 ),
inference(avatar_component_clause,[],[f4177]) ).
fof(f4240,plain,
( spl44_115
| spl44_64
| spl44_24
| spl44_23
| ~ spl44_259
| ~ spl44_300 ),
inference(avatar_split_clause,[],[f4239,f3947,f2144,f963,f968,f1156,f1400]) ).
fof(f1156,plain,
( spl44_64
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_64])]) ).
fof(f3947,plain,
( spl44_300
<=> e12 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_300])]) ).
fof(f4239,plain,
( e10 = e11
| e10 = e12
| e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| ~ spl44_259
| ~ spl44_300 ),
inference(forward_demodulation,[],[f4238,f2145]) ).
fof(f4238,plain,
( e10 = e12
| e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e10,e10)
| ~ spl44_300 ),
inference(forward_demodulation,[],[f371,f3949]) ).
fof(f3949,plain,
( e12 = op1(e11,e10)
| ~ spl44_300 ),
inference(avatar_component_clause,[],[f3947]) ).
fof(f371,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f4237,plain,
( spl44_115
| spl44_24
| spl44_23
| ~ spl44_127
| ~ spl44_259
| ~ spl44_300
| ~ spl44_303 ),
inference(avatar_split_clause,[],[f4234,f4007,f3947,f2144,f1454,f963,f968,f1400]) ).
fof(f4234,plain,
( e10 = e11
| e10 = e12
| e10 = op1(e12,e10)
| ~ spl44_127
| ~ spl44_259
| ~ spl44_300
| ~ spl44_303 ),
inference(forward_demodulation,[],[f4233,f2145]) ).
fof(f4233,plain,
( e10 = e12
| e10 = op1(e12,e10)
| e10 = op1(e10,e10)
| ~ spl44_127
| ~ spl44_300
| ~ spl44_303 ),
inference(forward_demodulation,[],[f4232,f3949]) ).
fof(f4232,plain,
( e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10)
| ~ spl44_127
| ~ spl44_303 ),
inference(duplicate_literal_removal,[],[f4231]) ).
fof(f4231,plain,
( e10 = op1(e12,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10)
| ~ spl44_127
| ~ spl44_303 ),
inference(forward_demodulation,[],[f371,f4210]) ).
fof(f4210,plain,
( e12 = e13
| ~ spl44_127
| ~ spl44_303 ),
inference(superposition,[],[f1456,f4009]) ).
fof(f1456,plain,
( e12 = op1(e10,e12)
| ~ spl44_127 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f4230,plain,
( spl44_64
| spl44_24
| spl44_23
| ~ spl44_259
| ~ spl44_268
| ~ spl44_300 ),
inference(avatar_split_clause,[],[f4159,f3947,f2185,f2144,f963,f968,f1156]) ).
fof(f4159,plain,
( e10 = e11
| e10 = e12
| e10 = op1(e13,e10)
| ~ spl44_259
| ~ spl44_268
| ~ spl44_300 ),
inference(forward_demodulation,[],[f4158,f2145]) ).
fof(f4158,plain,
( e10 = e12
| e10 = op1(e13,e10)
| e10 = op1(e10,e10)
| ~ spl44_268
| ~ spl44_300 ),
inference(duplicate_literal_removal,[],[f4157]) ).
fof(f4157,plain,
( e10 = e12
| e10 = e12
| e10 = op1(e13,e10)
| e10 = op1(e10,e10)
| ~ spl44_268
| ~ spl44_300 ),
inference(forward_demodulation,[],[f4156,f3949]) ).
fof(f4156,plain,
( e10 = e12
| e10 = op1(e13,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10)
| ~ spl44_268 ),
inference(forward_demodulation,[],[f371,f2187]) ).
fof(f4203,plain,
( spl44_306
| ~ spl44_46
| ~ spl44_241
| ~ spl44_278 ),
inference(avatar_split_clause,[],[f3855,f2336,f2047,f1072,f4200]) ).
fof(f3855,plain,
( e23 = h3(e12)
| ~ spl44_46
| ~ spl44_241
| ~ spl44_278 ),
inference(forward_demodulation,[],[f3597,f2338]) ).
fof(f3597,plain,
( op2(e20,e22) = h3(e12)
| ~ spl44_46
| ~ spl44_241 ),
inference(superposition,[],[f2049,f1073]) ).
fof(f4196,plain,
( ~ spl44_126
| ~ spl44_269 ),
inference(avatar_split_clause,[],[f4195,f2190,f1450]) ).
fof(f1450,plain,
( spl44_126
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_126])]) ).
fof(f4195,plain,
( ~ sP30
| ~ spl44_269 ),
inference(trivial_inequality_removal,[],[f4194]) ).
fof(f4194,plain,
( e13 != e13
| ~ sP30
| ~ spl44_269 ),
inference(forward_demodulation,[],[f843,f2192]) ).
fof(f843,plain,
( e13 != op1(e13,e10)
| ~ sP30 ),
inference(trivial_inequality_removal,[],[f842]) ).
fof(f842,plain,
( e10 != e10
| e13 != op1(e13,e10)
| ~ sP30 ),
inference(forward_demodulation,[],[f585,f223]) ).
fof(f585,plain,
( e13 != op1(e13,e10)
| e10 != op1(e13,e13)
| ~ sP30 ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e12 = op1(e10,e12) )
| ~ sP30 ),
inference(nnf_transformation,[],[f53]) ).
fof(f4193,plain,
( ~ spl44_111
| ~ spl44_112 ),
inference(avatar_split_clause,[],[f4185,f1386,f1382]) ).
fof(f1382,plain,
( spl44_111
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_111])]) ).
fof(f4185,plain,
( ~ sP38
| ~ spl44_112 ),
inference(trivial_inequality_removal,[],[f4184]) ).
fof(f4184,plain,
( e12 != e12
| ~ sP38
| ~ spl44_112 ),
inference(forward_demodulation,[],[f624,f1388]) ).
fof(f624,plain,
( e12 != op1(e12,e12)
| ~ sP38 ),
inference(duplicate_literal_removal,[],[f544]) ).
fof(f544,plain,
( e12 != op1(e12,e12)
| e12 != op1(e12,e12)
| ~ sP38 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e12,e12) )
| ~ sP38 ),
inference(nnf_transformation,[],[f61]) ).
fof(f4180,plain,
( spl44_305
| spl44_24
| spl44_26
| ~ spl44_109
| ~ spl44_121
| ~ spl44_260 ),
inference(avatar_split_clause,[],[f4155,f2148,f1427,f1372,f978,f968,f4177]) ).
fof(f4155,plain,
( e11 = e12
| e10 = e12
| e12 = op1(e12,e11)
| ~ spl44_109
| ~ spl44_121
| ~ spl44_260 ),
inference(duplicate_literal_removal,[],[f4154]) ).
fof(f4154,plain,
( e11 = e12
| e10 = e12
| e11 = e12
| e12 = op1(e12,e11)
| ~ spl44_109
| ~ spl44_121
| ~ spl44_260 ),
inference(forward_demodulation,[],[f4127,f1429]) ).
fof(f4127,plain,
( e10 = e12
| e11 = e12
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| ~ spl44_109
| ~ spl44_260 ),
inference(forward_demodulation,[],[f4126,f2150]) ).
fof(f4126,plain,
( e11 = e12
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11)
| ~ spl44_109 ),
inference(forward_demodulation,[],[f383,f1374]) ).
fof(f4153,plain,
( spl44_24
| ~ spl44_123
| ~ spl44_300 ),
inference(avatar_split_clause,[],[f4152,f3947,f1436,f968]) ).
fof(f4152,plain,
( e10 = e12
| ~ spl44_123
| ~ spl44_300 ),
inference(forward_demodulation,[],[f3949,f1438]) ).
fof(f4149,plain,
( spl44_62
| spl44_24
| spl44_25
| ~ spl44_112
| ~ spl44_119
| ~ spl44_303 ),
inference(avatar_split_clause,[],[f4133,f4007,f1418,f1386,f973,f968,f1146]) ).
fof(f4133,plain,
( e10 = e13
| e10 = e12
| e10 = op1(e13,e12)
| ~ spl44_112
| ~ spl44_119
| ~ spl44_303 ),
inference(forward_demodulation,[],[f4132,f4009]) ).
fof(f4132,plain,
( e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e10,e12)
| ~ spl44_112
| ~ spl44_119 ),
inference(duplicate_literal_removal,[],[f4131]) ).
fof(f4131,plain,
( e10 = e12
| e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e10,e12)
| ~ spl44_112
| ~ spl44_119 ),
inference(forward_demodulation,[],[f4065,f1420]) ).
fof(f4065,plain,
( e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12)
| ~ spl44_112 ),
inference(forward_demodulation,[],[f387,f1388]) ).
fof(f4123,plain,
( spl44_112
| spl44_25
| spl44_26
| spl44_23
| ~ spl44_259
| ~ spl44_264 ),
inference(avatar_split_clause,[],[f4117,f2167,f2144,f963,f978,f973,f1386]) ).
fof(f4117,plain,
( e10 = e11
| e11 = e12
| e10 = e13
| e12 = op1(e12,e12)
| ~ spl44_259
| ~ spl44_264 ),
inference(forward_demodulation,[],[f4116,f2145]) ).
fof(f4116,plain,
( e11 = e12
| e10 = e13
| e12 = op1(e12,e12)
| e10 = op1(e10,e10)
| ~ spl44_264 ),
inference(forward_demodulation,[],[f851,f2168]) ).
fof(f4113,plain,
( spl44_25
| ~ spl44_260
| ~ spl44_302 ),
inference(avatar_split_clause,[],[f4111,f4003,f2148,f973]) ).
fof(f4111,plain,
( e10 = e13
| ~ spl44_260
| ~ spl44_302 ),
inference(forward_demodulation,[],[f4005,f2150]) ).
fof(f4110,plain,
( spl44_28
| ~ spl44_125
| ~ spl44_165 ),
inference(avatar_split_clause,[],[f4012,f1653,f1445,f988]) ).
fof(f1445,plain,
( spl44_125
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_125])]) ).
fof(f4012,plain,
( e12 = e13
| ~ spl44_125
| ~ spl44_165 ),
inference(forward_demodulation,[],[f1447,f1655]) ).
fof(f1447,plain,
( e13 = op1(e10,e13)
| ~ spl44_125 ),
inference(avatar_component_clause,[],[f1445]) ).
fof(f4104,plain,
( spl44_62
| spl44_24
| spl44_23
| spl44_25
| ~ spl44_112
| ~ spl44_265
| ~ spl44_303 ),
inference(avatar_split_clause,[],[f4070,f4007,f2171,f1386,f973,f963,f968,f1146]) ).
fof(f4070,plain,
( e10 = e13
| e10 = e11
| e10 = e12
| e10 = op1(e13,e12)
| ~ spl44_112
| ~ spl44_265
| ~ spl44_303 ),
inference(forward_demodulation,[],[f4066,f4009]) ).
fof(f4066,plain,
( e10 = e11
| e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e10,e12)
| ~ spl44_112
| ~ spl44_265 ),
inference(forward_demodulation,[],[f4065,f2173]) ).
fof(f4092,plain,
( spl44_23
| ~ spl44_123
| ~ spl44_263 ),
inference(avatar_split_clause,[],[f4074,f2162,f1436,f963]) ).
fof(f4074,plain,
( e10 = e11
| ~ spl44_123
| ~ spl44_263 ),
inference(superposition,[],[f1438,f2164]) ).
fof(f4069,plain,
( spl44_23
| ~ spl44_129
| ~ spl44_260 ),
inference(avatar_split_clause,[],[f4060,f2148,f1463,f963]) ).
fof(f4060,plain,
( e10 = e11
| ~ spl44_129
| ~ spl44_260 ),
inference(forward_demodulation,[],[f1465,f2150]) ).
fof(f4061,plain,
( spl44_25
| ~ spl44_131
| ~ spl44_262
| ~ spl44_264
| ~ spl44_303 ),
inference(avatar_split_clause,[],[f4055,f4007,f2167,f2158,f1472,f973]) ).
fof(f4055,plain,
( e10 = e13
| ~ spl44_131
| ~ spl44_262
| ~ spl44_264
| ~ spl44_303 ),
inference(forward_demodulation,[],[f4054,f1474]) ).
fof(f4054,plain,
( op1(e10,e10) = e13
| ~ spl44_262
| ~ spl44_264
| ~ spl44_303 ),
inference(forward_demodulation,[],[f4009,f4037]) ).
fof(f4052,plain,
( spl44_27
| ~ spl44_299
| ~ spl44_303 ),
inference(avatar_split_clause,[],[f4050,f4007,f3895,f983]) ).
fof(f4050,plain,
( e11 = e13
| ~ spl44_299
| ~ spl44_303 ),
inference(forward_demodulation,[],[f4009,f3897]) ).
fof(f4049,plain,
( spl44_25
| ~ spl44_125
| ~ spl44_165
| ~ spl44_262
| ~ spl44_264 ),
inference(avatar_split_clause,[],[f4047,f2167,f2158,f1653,f1445,f973]) ).
fof(f4047,plain,
( e10 = e13
| ~ spl44_125
| ~ spl44_165
| ~ spl44_262
| ~ spl44_264 ),
inference(forward_demodulation,[],[f4012,f4037]) ).
fof(f4043,plain,
( spl44_28
| ~ spl44_269
| ~ spl44_301 ),
inference(avatar_split_clause,[],[f3996,f3951,f2190,f988]) ).
fof(f3951,plain,
( spl44_301
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_301])]) ).
fof(f3996,plain,
( e12 = e13
| ~ spl44_269
| ~ spl44_301 ),
inference(superposition,[],[f3953,f2192]) ).
fof(f3953,plain,
( e12 = op1(e13,e10)
| ~ spl44_301 ),
inference(avatar_component_clause,[],[f3951]) ).
fof(f4027,plain,
( spl44_23
| ~ spl44_265
| ~ spl44_304 ),
inference(avatar_split_clause,[],[f4024,f4014,f2171,f963]) ).
fof(f4024,plain,
( e10 = e11
| ~ spl44_265
| ~ spl44_304 ),
inference(forward_demodulation,[],[f2173,f4016]) ).
fof(f4023,plain,
( spl44_300
| spl44_264
| spl44_119
| spl44_185 ),
inference(avatar_split_clause,[],[f382,f1757,f1418,f2167,f3947]) ).
fof(f1757,plain,
( spl44_185
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_185])]) ).
fof(f382,plain,
( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f4017,plain,
( spl44_123
| spl44_262
| spl44_304
| spl44_69 ),
inference(avatar_split_clause,[],[f378,f1181,f4014,f2158,f1436]) ).
fof(f1181,plain,
( spl44_69
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_69])]) ).
fof(f378,plain,
( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f4010,plain,
( spl44_261
| spl44_302
| spl44_303
| spl44_125 ),
inference(avatar_split_clause,[],[f376,f1445,f4007,f4003,f2153]) ).
fof(f2153,plain,
( spl44_261
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_261])]) ).
fof(f376,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f3989,plain,
( spl44_46
| ~ spl44_79
| ~ spl44_254 ),
inference(avatar_split_clause,[],[f3644,f2115,f1231,f1072]) ).
fof(f3644,plain,
( e20 = h3(e10)
| ~ spl44_79
| ~ spl44_254 ),
inference(superposition,[],[f1233,f2116]) ).
fof(f2116,plain,
( e20 = op2(e22,e22)
| ~ spl44_254 ),
inference(avatar_component_clause,[],[f2115]) ).
fof(f3984,plain,
( spl44_26
| ~ spl44_273
| ~ spl44_301 ),
inference(avatar_split_clause,[],[f3982,f3951,f2282,f978]) ).
fof(f3982,plain,
( e11 = e12
| ~ spl44_273
| ~ spl44_301 ),
inference(forward_demodulation,[],[f3953,f2284]) ).
fof(f3975,plain,
( spl44_121
| spl44_265
| spl44_70
| spl44_26
| ~ spl44_300 ),
inference(avatar_split_clause,[],[f3958,f3947,f978,f1186,f2171,f1427]) ).
fof(f1186,plain,
( spl44_70
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_70])]) ).
fof(f3958,plain,
( e11 = e12
| e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| ~ spl44_300 ),
inference(forward_demodulation,[],[f380,f3949]) ).
fof(f380,plain,
( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3960,plain,
( spl44_23
| ~ spl44_131
| ~ spl44_259 ),
inference(avatar_split_clause,[],[f3959,f2144,f1472,f963]) ).
fof(f3959,plain,
( e10 = e11
| ~ spl44_131
| ~ spl44_259 ),
inference(forward_demodulation,[],[f2145,f1474]) ).
fof(f3956,plain,
( spl44_26
| ~ spl44_263
| ~ spl44_300 ),
inference(avatar_split_clause,[],[f3955,f3947,f2162,f978]) ).
fof(f3955,plain,
( e11 = e12
| ~ spl44_263
| ~ spl44_300 ),
inference(forward_demodulation,[],[f3949,f2164]) ).
fof(f3954,plain,
( spl44_189
| spl44_300
| spl44_268
| spl44_301 ),
inference(avatar_split_clause,[],[f375,f3951,f2185,f3947,f1778]) ).
fof(f1778,plain,
( spl44_189
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_189])]) ).
fof(f375,plain,
( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f3928,plain,
( spl44_255
| spl44_271
| spl44_2
| spl44_4
| ~ spl44_58
| ~ spl44_253 ),
inference(avatar_split_clause,[],[f3742,f2109,f1126,f868,f858,f2261,f2119]) ).
fof(f2261,plain,
( spl44_271
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_271])]) ).
fof(f3742,plain,
( e21 = e22
| e20 = e22
| e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| ~ spl44_58
| ~ spl44_253 ),
inference(forward_demodulation,[],[f3693,f2111]) ).
fof(f3693,plain,
( e20 = e22
| e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| ~ spl44_58 ),
inference(forward_demodulation,[],[f728,f1127]) ).
fof(f728,plain,
( e22 = h1(e10)
| e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20) ),
inference(forward_demodulation,[],[f327,f205]) ).
fof(f327,plain,
( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f3925,plain,
( spl44_150
| spl44_46
| spl44_3
| spl44_2
| ~ spl44_255
| ~ spl44_284 ),
inference(avatar_split_clause,[],[f3906,f2448,f2119,f858,f863,f1072,f1574]) ).
fof(f1574,plain,
( spl44_150
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_150])]) ).
fof(f3906,plain,
( e20 = e22
| e20 = e23
| e20 = h3(e10)
| e20 = op2(e22,e23)
| ~ spl44_255
| ~ spl44_284 ),
inference(forward_demodulation,[],[f3580,f2121]) ).
fof(f2121,plain,
( e22 = op2(e22,e20)
| ~ spl44_255 ),
inference(avatar_component_clause,[],[f2119]) ).
fof(f3580,plain,
( e20 = e23
| e20 = h3(e10)
| e20 = op2(e22,e23)
| e20 = op2(e22,e20)
| ~ spl44_284 ),
inference(forward_demodulation,[],[f717,f2450]) ).
fof(f717,plain,
( e20 = h3(e10)
| e20 = op2(e22,e23)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) ),
inference(forward_demodulation,[],[f338,f209]) ).
fof(f338,plain,
( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3915,plain,
( spl44_97
| spl44_42
| spl44_4
| spl44_6
| ~ spl44_278
| ~ spl44_281 ),
inference(avatar_split_clause,[],[f3583,f2416,f2336,f878,f868,f1054,f1318]) ).
fof(f1054,plain,
( spl44_42
<=> e22 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_42])]) ).
fof(f3583,plain,
( e22 = e23
| e21 = e22
| e22 = h3(e10)
| e22 = op2(e21,e22)
| ~ spl44_278
| ~ spl44_281 ),
inference(forward_demodulation,[],[f3582,f2338]) ).
fof(f3582,plain,
( e21 = e22
| e22 = h3(e10)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22)
| ~ spl44_281 ),
inference(forward_demodulation,[],[f712,f2418]) ).
fof(f712,plain,
( e22 = h3(e10)
| e22 = op2(e23,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(forward_demodulation,[],[f343,f209]) ).
fof(f343,plain,
( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3904,plain,
( spl44_6
| ~ spl44_97
| ~ spl44_279 ),
inference(avatar_split_clause,[],[f3874,f2340,f1318,f878]) ).
fof(f2340,plain,
( spl44_279
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_279])]) ).
fof(f3874,plain,
( e22 = e23
| ~ spl44_97
| ~ spl44_279 ),
inference(superposition,[],[f1320,f2342]) ).
fof(f2342,plain,
( e23 = op2(e21,e22)
| ~ spl44_279 ),
inference(avatar_component_clause,[],[f2340]) ).
fof(f3903,plain,
( spl44_259
| spl44_263
| spl44_67
| spl44_273 ),
inference(avatar_split_clause,[],[f373,f2282,f1171,f2162,f2144]) ).
fof(f1171,plain,
( spl44_67
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_67])]) ).
fof(f373,plain,
( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f3898,plain,
( spl44_259
| spl44_129
| spl44_299
| spl44_72 ),
inference(avatar_split_clause,[],[f372,f1196,f3895,f1463,f2144]) ).
fof(f1196,plain,
( spl44_72
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_72])]) ).
fof(f372,plain,
( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f3890,plain,
( spl44_131
| spl44_260
| spl44_298
| spl44_71 ),
inference(avatar_split_clause,[],[f370,f1191,f3887,f2148,f1472]) ).
fof(f1191,plain,
( spl44_71
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_71])]) ).
fof(f370,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3883,plain,
( spl44_85
| spl44_5
| spl44_1
| spl44_277
| ~ spl44_52
| ~ spl44_243
| ~ spl44_284 ),
inference(avatar_split_clause,[],[f3805,f2448,f2058,f1099,f2313,f853,f873,f1264]) ).
fof(f3805,plain,
( e21 = h2(e12)
| e20 = e21
| e21 = e23
| e21 = op2(e23,e21)
| ~ spl44_52
| ~ spl44_243
| ~ spl44_284 ),
inference(forward_demodulation,[],[f3804,f3602]) ).
fof(f3804,plain,
( e20 = e21
| e21 = e23
| e21 = op2(e23,e21)
| e21 = op2(e20,e21)
| ~ spl44_52
| ~ spl44_284 ),
inference(forward_demodulation,[],[f3563,f1100]) ).
fof(f3563,plain,
( e21 = e23
| e21 = h2(e10)
| e21 = op2(e23,e21)
| e21 = op2(e20,e21)
| ~ spl44_284 ),
inference(forward_demodulation,[],[f722,f2450]) ).
fof(f722,plain,
( e21 = h2(e10)
| e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e20,e21) ),
inference(forward_demodulation,[],[f333,f213]) ).
fof(f333,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3872,plain,
( spl44_97
| spl44_2
| spl44_4
| spl44_6
| ~ spl44_46
| ~ spl44_278
| ~ spl44_281 ),
inference(avatar_split_clause,[],[f3854,f2416,f2336,f1072,f878,f868,f858,f1318]) ).
fof(f3854,plain,
( e22 = e23
| e21 = e22
| e20 = e22
| e22 = op2(e21,e22)
| ~ spl44_46
| ~ spl44_278
| ~ spl44_281 ),
inference(forward_demodulation,[],[f3853,f2338]) ).
fof(f3853,plain,
( e21 = e22
| e20 = e22
| e22 = op2(e21,e22)
| e22 = op2(e20,e22)
| ~ spl44_46
| ~ spl44_281 ),
inference(forward_demodulation,[],[f3625,f2418]) ).
fof(f3625,plain,
( e20 = e22
| e22 = op2(e23,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22)
| ~ spl44_46 ),
inference(forward_demodulation,[],[f712,f1073]) ).
fof(f3866,plain,
( spl44_46
| ~ spl44_79
| ~ spl44_254 ),
inference(avatar_split_clause,[],[f3644,f2115,f1231,f1072]) ).
fof(f3850,plain,
( spl44_136
| spl44_46
| spl44_3
| ~ spl44_278
| ~ spl44_279 ),
inference(avatar_split_clause,[],[f3829,f2340,f2336,f863,f1072,f1500]) ).
fof(f3829,plain,
( e20 = e23
| e20 = h3(e10)
| e20 = op2(e23,e22)
| ~ spl44_278
| ~ spl44_279 ),
inference(duplicate_literal_removal,[],[f3828]) ).
fof(f3828,plain,
( e20 = e23
| e20 = e23
| e20 = h3(e10)
| e20 = op2(e23,e22)
| ~ spl44_278
| ~ spl44_279 ),
inference(forward_demodulation,[],[f3581,f2342]) ).
fof(f3581,plain,
( e20 = e23
| e20 = h3(e10)
| e20 = op2(e23,e22)
| e20 = op2(e21,e22)
| ~ spl44_278 ),
inference(forward_demodulation,[],[f716,f2338]) ).
fof(f3824,plain,
( spl44_85
| ~ spl44_253
| ~ spl44_272
| ~ spl44_287 ),
inference(avatar_split_clause,[],[f2644,f2583,f2265,f2109,f1264]) ).
fof(f2644,plain,
( e21 = op2(e23,e21)
| ~ spl44_253
| ~ spl44_272
| ~ spl44_287 ),
inference(forward_demodulation,[],[f2267,f2636]) ).
fof(f2636,plain,
( e21 = e22
| ~ spl44_253
| ~ spl44_287 ),
inference(superposition,[],[f2585,f2111]) ).
fof(f3801,plain,
( spl44_85
| spl44_50
| spl44_5
| ~ spl44_284
| ~ spl44_292 ),
inference(avatar_split_clause,[],[f3696,f3109,f2448,f873,f1090,f1264]) ).
fof(f1090,plain,
( spl44_50
<=> e21 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_50])]) ).
fof(f3109,plain,
( spl44_292
<=> e23 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_292])]) ).
fof(f3696,plain,
( e21 = e23
| e21 = h2(e10)
| e21 = op2(e23,e21)
| ~ spl44_284
| ~ spl44_292 ),
inference(duplicate_literal_removal,[],[f3513]) ).
fof(f3513,plain,
( e21 = e23
| e21 = e23
| e21 = h2(e10)
| e21 = op2(e23,e21)
| ~ spl44_284
| ~ spl44_292 ),
inference(forward_demodulation,[],[f3394,f2450]) ).
fof(f3394,plain,
( e21 = e23
| e21 = h2(e10)
| e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| ~ spl44_292 ),
inference(forward_demodulation,[],[f722,f3111]) ).
fof(f3111,plain,
( e23 = op2(e20,e21)
| ~ spl44_292 ),
inference(avatar_component_clause,[],[f3109]) ).
fof(f3796,plain,
( spl44_288
| spl44_1
| spl44_5
| ~ spl44_58
| ~ spl44_292
| ~ spl44_295 ),
inference(avatar_split_clause,[],[f3746,f3476,f3109,f1126,f873,f853,f2591]) ).
fof(f2591,plain,
( spl44_288
<=> e21 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_288])]) ).
fof(f3476,plain,
( spl44_295
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_295])]) ).
fof(f3746,plain,
( e21 = e23
| e20 = e21
| e21 = op2(e20,e23)
| ~ spl44_58
| ~ spl44_292
| ~ spl44_295 ),
inference(forward_demodulation,[],[f3745,f3111]) ).
fof(f3745,plain,
( e20 = e21
| e21 = op2(e20,e23)
| e21 = op2(e20,e21)
| ~ spl44_58
| ~ spl44_295 ),
inference(duplicate_literal_removal,[],[f3744]) ).
fof(f3744,plain,
( e20 = e21
| e20 = e21
| e21 = op2(e20,e23)
| e21 = op2(e20,e21)
| ~ spl44_58
| ~ spl44_295 ),
inference(forward_demodulation,[],[f3686,f3478]) ).
fof(f3478,plain,
( e20 = op2(e20,e22)
| ~ spl44_295 ),
inference(avatar_component_clause,[],[f3476]) ).
fof(f3686,plain,
( e20 = e21
| e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| ~ spl44_58 ),
inference(forward_demodulation,[],[f731,f1127]) ).
fof(f731,plain,
( e21 = h1(e10)
| e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21) ),
inference(forward_demodulation,[],[f324,f205]) ).
fof(f324,plain,
( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f3787,plain,
( spl44_6
| spl44_5
| spl44_3
| ~ spl44_52
| ~ spl44_58
| ~ spl44_133
| ~ spl44_243
| ~ spl44_277
| ~ spl44_295 ),
inference(avatar_split_clause,[],[f3753,f3476,f2313,f2058,f1483,f1126,f1099,f863,f873,f878]) ).
fof(f3753,plain,
( e20 = e23
| e21 = e23
| e22 = e23
| ~ spl44_52
| ~ spl44_58
| ~ spl44_133
| ~ spl44_243
| ~ spl44_277
| ~ spl44_295 ),
inference(duplicate_literal_removal,[],[f3752]) ).
fof(f3752,plain,
( e20 = e23
| e21 = e23
| e20 = e23
| e22 = e23
| ~ spl44_52
| ~ spl44_58
| ~ spl44_133
| ~ spl44_243
| ~ spl44_277
| ~ spl44_295 ),
inference(forward_demodulation,[],[f3672,f3478]) ).
fof(f3672,plain,
( e21 = e23
| e20 = e23
| e22 = e23
| e23 = op2(e20,e22)
| ~ spl44_52
| ~ spl44_58
| ~ spl44_133
| ~ spl44_243
| ~ spl44_277 ),
inference(forward_demodulation,[],[f3089,f3604]) ).
fof(f3604,plain,
( e21 = op2(e20,e21)
| ~ spl44_52
| ~ spl44_243
| ~ spl44_277 ),
inference(forward_demodulation,[],[f3602,f2315]) ).
fof(f3089,plain,
( e20 = e23
| e22 = e23
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| ~ spl44_58
| ~ spl44_133 ),
inference(forward_demodulation,[],[f2873,f1127]) ).
fof(f2873,plain,
( e22 = e23
| e23 = h1(e10)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| ~ spl44_133 ),
inference(forward_demodulation,[],[f727,f1485]) ).
fof(f727,plain,
( e23 = h1(e10)
| e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21) ),
inference(forward_demodulation,[],[f328,f205]) ).
fof(f328,plain,
( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f3759,plain,
( spl44_52
| ~ spl44_80
| ~ spl44_252 ),
inference(avatar_split_clause,[],[f2633,f2105,f1236,f1099]) ).
fof(f2633,plain,
( e20 = h2(e10)
| ~ spl44_80
| ~ spl44_252 ),
inference(superposition,[],[f2106,f1238]) ).
fof(f2106,plain,
( e20 = op2(e21,e21)
| ~ spl44_252 ),
inference(avatar_component_clause,[],[f2105]) ).
fof(f3728,plain,
( spl44_152
| spl44_52
| spl44_2
| spl44_3
| ~ spl44_279
| ~ spl44_287 ),
inference(avatar_split_clause,[],[f3718,f2583,f2340,f863,f858,f1099,f1585]) ).
fof(f1585,plain,
( spl44_152
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_152])]) ).
fof(f3718,plain,
( e20 = e23
| e20 = e22
| e20 = h2(e10)
| e20 = op2(e21,e23)
| ~ spl44_279
| ~ spl44_287 ),
inference(forward_demodulation,[],[f2991,f2342]) ).
fof(f2991,plain,
( e20 = e22
| e20 = h2(e10)
| e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| ~ spl44_287 ),
inference(forward_demodulation,[],[f725,f2585]) ).
fof(f725,plain,
( e20 = h2(e10)
| e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e20) ),
inference(forward_demodulation,[],[f330,f213]) ).
fof(f330,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3717,plain,
( spl44_93
| spl44_150
| spl44_2
| spl44_3
| ~ spl44_79
| ~ spl44_284
| ~ spl44_293 ),
inference(avatar_split_clause,[],[f3706,f3179,f2448,f1231,f863,f858,f1574,f1300]) ).
fof(f3706,plain,
( e20 = e23
| e20 = e22
| e20 = op2(e22,e23)
| e20 = op2(e22,e20)
| ~ spl44_79
| ~ spl44_284
| ~ spl44_293 ),
inference(forward_demodulation,[],[f3497,f2450]) ).
fof(f3497,plain,
( e20 = e22
| e20 = op2(e22,e23)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20)
| ~ spl44_79
| ~ spl44_293 ),
inference(forward_demodulation,[],[f717,f3186]) ).
fof(f3716,plain,
( ~ spl44_52
| ~ spl44_80
| spl44_252 ),
inference(avatar_split_clause,[],[f2803,f2105,f1236,f1099]) ).
fof(f2803,plain,
( e20 != h2(e10)
| ~ spl44_80
| spl44_252 ),
inference(superposition,[],[f2107,f1238]) ).
fof(f2107,plain,
( e20 != op2(e21,e21)
| spl44_252 ),
inference(avatar_component_clause,[],[f2105]) ).
fof(f3705,plain,
( spl44_138
| spl44_52
| spl44_3
| ~ spl44_284
| ~ spl44_292 ),
inference(avatar_split_clause,[],[f3700,f3109,f2448,f863,f1099,f1511]) ).
fof(f1511,plain,
( spl44_138
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_138])]) ).
fof(f3700,plain,
( e20 = e23
| e20 = h2(e10)
| e20 = op2(e23,e21)
| ~ spl44_284
| ~ spl44_292 ),
inference(duplicate_literal_removal,[],[f3699]) ).
fof(f3699,plain,
( e20 = e23
| e20 = e23
| e20 = h2(e10)
| e20 = op2(e23,e21)
| ~ spl44_284
| ~ spl44_292 ),
inference(forward_demodulation,[],[f3395,f2450]) ).
fof(f3395,plain,
( e20 = e23
| e20 = h2(e10)
| e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| ~ spl44_292 ),
inference(forward_demodulation,[],[f724,f3111]) ).
fof(f724,plain,
( e20 = h2(e10)
| e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e20,e21) ),
inference(forward_demodulation,[],[f331,f213]) ).
fof(f331,plain,
( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3695,plain,
( spl44_292
| spl44_278
| spl44_6
| spl44_3
| ~ spl44_58
| ~ spl44_133 ),
inference(avatar_split_clause,[],[f3673,f1483,f1126,f863,f878,f2336,f3109]) ).
fof(f3673,plain,
( e20 = e23
| e22 = e23
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| ~ spl44_58
| ~ spl44_133 ),
inference(forward_demodulation,[],[f2873,f1127]) ).
fof(f3690,plain,
( spl44_253
| spl44_291
| spl44_1
| spl44_4
| ~ spl44_58
| ~ spl44_255 ),
inference(avatar_split_clause,[],[f3669,f2119,f1126,f868,f853,f3010,f2109]) ).
fof(f3010,plain,
( spl44_291
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_291])]) ).
fof(f3669,plain,
( e21 = e22
| e20 = e21
| e21 = op2(e23,e20)
| e21 = op2(e21,e20)
| ~ spl44_58
| ~ spl44_255 ),
inference(forward_demodulation,[],[f3668,f2121]) ).
fof(f3668,plain,
( e20 = e21
| e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| ~ spl44_58 ),
inference(forward_demodulation,[],[f730,f1127]) ).
fof(f730,plain,
( e21 = h1(e10)
| e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20) ),
inference(forward_demodulation,[],[f325,f205]) ).
fof(f325,plain,
( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f3685,plain,
( spl44_222
| spl44_2
| spl44_6
| spl44_4
| ~ spl44_52
| ~ spl44_85
| ~ spl44_284 ),
inference(avatar_split_clause,[],[f3670,f2448,f1264,f1099,f868,f878,f858,f1948]) ).
fof(f1948,plain,
( spl44_222
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_222])]) ).
fof(f3670,plain,
( e21 = e22
| e22 = e23
| e20 = e22
| e22 = op2(e20,e21)
| ~ spl44_52
| ~ spl44_85
| ~ spl44_284 ),
inference(forward_demodulation,[],[f3623,f1266]) ).
fof(f3623,plain,
( e22 = e23
| e20 = e22
| e22 = op2(e23,e21)
| e22 = op2(e20,e21)
| ~ spl44_52
| ~ spl44_284 ),
inference(forward_demodulation,[],[f3622,f2450]) ).
fof(f3622,plain,
( e20 = e22
| e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e20,e21)
| ~ spl44_52 ),
inference(forward_demodulation,[],[f720,f1100]) ).
fof(f3666,plain,
( spl44_272
| spl44_4
| spl44_2
| spl44_6
| ~ spl44_52
| ~ spl44_105
| ~ spl44_284 ),
inference(avatar_split_clause,[],[f3621,f2448,f1354,f1099,f878,f858,f868,f2265]) ).
fof(f3621,plain,
( e22 = e23
| e20 = e22
| e21 = e22
| e22 = op2(e23,e21)
| ~ spl44_52
| ~ spl44_105
| ~ spl44_284 ),
inference(forward_demodulation,[],[f3620,f2450]) ).
fof(f3620,plain,
( e20 = e22
| e21 = e22
| e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| ~ spl44_52
| ~ spl44_105 ),
inference(forward_demodulation,[],[f2969,f1100]) ).
fof(f2969,plain,
( e21 = e22
| e22 = h2(e10)
| e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| ~ spl44_105 ),
inference(forward_demodulation,[],[f720,f1356]) ).
fof(f1356,plain,
( e21 = op2(e20,e21)
| ~ spl44_105 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f3662,plain,
( spl44_297
| ~ spl44_58
| ~ spl44_78
| ~ spl44_239 ),
inference(avatar_split_clause,[],[f2225,f2036,f1226,f1126,f3659]) ).
fof(f2225,plain,
( e20 = h1(e12)
| ~ spl44_58
| ~ spl44_78
| ~ spl44_239 ),
inference(forward_demodulation,[],[f2224,f1127]) ).
fof(f2224,plain,
( h1(e10) = h1(e12)
| ~ spl44_58
| ~ spl44_78
| ~ spl44_239 ),
inference(forward_demodulation,[],[f2221,f1228]) ).
fof(f2221,plain,
( op2(e20,e20) = h1(e12)
| ~ spl44_58
| ~ spl44_239 ),
inference(superposition,[],[f2038,f1127]) ).
fof(f3640,plain,
( ~ spl44_103
| ~ spl44_133
| spl44_223 ),
inference(avatar_split_clause,[],[f1957,f1953,f1483,f1345]) ).
fof(f1345,plain,
( spl44_103
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_103])]) ).
fof(f1953,plain,
( spl44_223
<=> op2(e20,e22) = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_223])]) ).
fof(f1957,plain,
( e22 != op2(e20,e22)
| ~ spl44_133
| spl44_223 ),
inference(forward_demodulation,[],[f1955,f1485]) ).
fof(f1955,plain,
( op2(e20,e22) != op2(e20,e23)
| spl44_223 ),
inference(avatar_component_clause,[],[f1953]) ).
fof(f3618,plain,
( spl44_6
| ~ spl44_103
| ~ spl44_278 ),
inference(avatar_split_clause,[],[f3609,f2336,f1345,f878]) ).
fof(f3609,plain,
( e22 = e23
| ~ spl44_103
| ~ spl44_278 ),
inference(superposition,[],[f1347,f2338]) ).
fof(f1347,plain,
( e22 = op2(e20,e22)
| ~ spl44_103 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f3576,plain,
( ~ spl44_98
| ~ spl44_289
| ~ spl44_56 ),
inference(avatar_split_clause,[],[f793,f1117,f2618,f1323]) ).
fof(f1323,plain,
( spl44_98
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_98])]) ).
fof(f793,plain,
( e21 != h1(e10)
| e20 != op2(e20,e21)
| ~ sP16 ),
inference(forward_demodulation,[],[f474,f205]) ).
fof(f474,plain,
( e20 != op2(e20,e21)
| op2(e20,e20) != e21
| ~ sP16 ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e20 = op2(e21,e20) )
| ~ sP16 ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e20 = op2(e21,e20) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f3562,plain,
( spl44_286
| spl44_248
| spl44_1
| ~ spl44_52
| ~ spl44_99 ),
inference(avatar_split_clause,[],[f3526,f1327,f1099,f853,f2086,f2574]) ).
fof(f2574,plain,
( spl44_286
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_286])]) ).
fof(f1327,plain,
( spl44_99
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_99])]) ).
fof(f3526,plain,
( e20 = e21
| e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| ~ spl44_52
| ~ spl44_99 ),
inference(duplicate_literal_removal,[],[f3525]) ).
fof(f3525,plain,
( e20 = e21
| e20 = e21
| e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| ~ spl44_52
| ~ spl44_99 ),
inference(forward_demodulation,[],[f3515,f1100]) ).
fof(f3515,plain,
( e20 = e21
| e21 = h2(e10)
| e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| ~ spl44_99 ),
inference(forward_demodulation,[],[f723,f1329]) ).
fof(f1329,plain,
( e20 = op2(e21,e20)
| ~ spl44_99 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f3549,plain,
( spl44_285
| ~ spl44_105
| ~ spl44_278
| ~ spl44_292 ),
inference(avatar_split_clause,[],[f3528,f3109,f2336,f1354,f2550]) ).
fof(f2550,plain,
( spl44_285
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_285])]) ).
fof(f3528,plain,
( e21 = op2(e20,e22)
| ~ spl44_105
| ~ spl44_278
| ~ spl44_292 ),
inference(forward_demodulation,[],[f2338,f3238]) ).
fof(f3238,plain,
( e21 = e23
| ~ spl44_105
| ~ spl44_292 ),
inference(superposition,[],[f1356,f3111]) ).
fof(f3548,plain,
( ~ spl44_296
| ~ spl44_105
| spl44_248
| ~ spl44_292 ),
inference(avatar_split_clause,[],[f3527,f3109,f2086,f1354,f3545]) ).
fof(f3527,plain,
( e21 != op2(e21,e21)
| ~ spl44_105
| spl44_248
| ~ spl44_292 ),
inference(forward_demodulation,[],[f2087,f3238]) ).
fof(f2087,plain,
( e21 != op2(e21,e23)
| spl44_248 ),
inference(avatar_component_clause,[],[f2086]) ).
fof(f3524,plain,
( spl44_3
| ~ spl44_278
| ~ spl44_295 ),
inference(avatar_split_clause,[],[f3516,f3476,f2336,f863]) ).
fof(f3516,plain,
( e20 = e23
| ~ spl44_278
| ~ spl44_295 ),
inference(forward_demodulation,[],[f2338,f3478]) ).
fof(f3508,plain,
( spl44_5
| ~ spl44_95
| ~ spl44_248 ),
inference(avatar_split_clause,[],[f3468,f2086,f1309,f873]) ).
fof(f3468,plain,
( e21 = e23
| ~ spl44_95
| ~ spl44_248 ),
inference(superposition,[],[f2088,f1311]) ).
fof(f2088,plain,
( e21 = op2(e21,e23)
| ~ spl44_248 ),
inference(avatar_component_clause,[],[f2086]) ).
fof(f3495,plain,
( spl44_3
| ~ spl44_282
| ~ spl44_284 ),
inference(avatar_split_clause,[],[f3494,f2448,f2431,f863]) ).
fof(f2431,plain,
( spl44_282
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_282])]) ).
fof(f3494,plain,
( e20 = e23
| ~ spl44_282
| ~ spl44_284 ),
inference(forward_demodulation,[],[f2450,f2433]) ).
fof(f2433,plain,
( e20 = op2(e22,e21)
| ~ spl44_282 ),
inference(avatar_component_clause,[],[f2431]) ).
fof(f3484,plain,
( spl44_287
| spl44_271
| spl44_54
| spl44_6
| ~ spl44_283 ),
inference(avatar_split_clause,[],[f3173,f2444,f878,f1108,f2261,f2583]) ).
fof(f1108,plain,
( spl44_54
<=> e22 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_54])]) ).
fof(f2444,plain,
( spl44_283
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_283])]) ).
fof(f3173,plain,
( e22 = e23
| e22 = h1(e10)
| e22 = op2(e23,e20)
| e22 = op2(e21,e20)
| ~ spl44_283 ),
inference(forward_demodulation,[],[f728,f2446]) ).
fof(f2446,plain,
( e23 = op2(e22,e20)
| ~ spl44_283 ),
inference(avatar_component_clause,[],[f2444]) ).
fof(f3479,plain,
( spl44_295
| spl44_136
| spl44_3
| spl44_2
| ~ spl44_79
| ~ spl44_279
| ~ spl44_293 ),
inference(avatar_split_clause,[],[f3449,f3179,f2340,f1231,f858,f863,f1500,f3476]) ).
fof(f3449,plain,
( e20 = e22
| e20 = e23
| e20 = op2(e23,e22)
| e20 = op2(e20,e22)
| ~ spl44_79
| ~ spl44_279
| ~ spl44_293 ),
inference(forward_demodulation,[],[f3162,f3186]) ).
fof(f3162,plain,
( e20 = e23
| e20 = h3(e10)
| e20 = op2(e23,e22)
| e20 = op2(e20,e22)
| ~ spl44_279 ),
inference(forward_demodulation,[],[f716,f2342]) ).
fof(f3467,plain,
( spl44_248
| spl44_50
| spl44_5
| spl44_1
| ~ spl44_99
| ~ spl44_279 ),
inference(avatar_split_clause,[],[f3463,f2340,f1327,f853,f873,f1090,f2086]) ).
fof(f3463,plain,
( e20 = e21
| e21 = e23
| e21 = h2(e10)
| e21 = op2(e21,e23)
| ~ spl44_99
| ~ spl44_279 ),
inference(forward_demodulation,[],[f3462,f1329]) ).
fof(f3462,plain,
( e21 = e23
| e21 = h2(e10)
| e21 = op2(e21,e23)
| e21 = op2(e21,e20)
| ~ spl44_279 ),
inference(forward_demodulation,[],[f723,f2342]) ).
fof(f3456,plain,
( spl44_4
| ~ spl44_270
| ~ spl44_294 ),
inference(avatar_split_clause,[],[f3401,f3326,f2250,f868]) ).
fof(f3326,plain,
( spl44_294
<=> e21 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_294])]) ).
fof(f3401,plain,
( e21 = e22
| ~ spl44_270
| ~ spl44_294 ),
inference(forward_demodulation,[],[f2252,f3328]) ).
fof(f3328,plain,
( e21 = h3(e12)
| ~ spl44_294 ),
inference(avatar_component_clause,[],[f3326]) ).
fof(f3434,plain,
( spl44_136
| spl44_46
| spl44_3
| spl44_1
| ~ spl44_279
| ~ spl44_285 ),
inference(avatar_split_clause,[],[f3385,f2550,f2340,f853,f863,f1072,f1500]) ).
fof(f3385,plain,
( e20 = e21
| e20 = e23
| e20 = h3(e10)
| e20 = op2(e23,e22)
| ~ spl44_279
| ~ spl44_285 ),
inference(forward_demodulation,[],[f3162,f2552]) ).
fof(f2552,plain,
( e21 = op2(e20,e22)
| ~ spl44_285 ),
inference(avatar_component_clause,[],[f2550]) ).
fof(f3382,plain,
( ~ spl44_46
| ~ spl44_79
| spl44_254 ),
inference(avatar_split_clause,[],[f2123,f2115,f1231,f1072]) ).
fof(f2123,plain,
( e20 != h3(e10)
| ~ spl44_79
| spl44_254 ),
inference(superposition,[],[f2117,f1233]) ).
fof(f2117,plain,
( e20 != op2(e22,e22)
| spl44_254 ),
inference(avatar_component_clause,[],[f2115]) ).
fof(f3376,plain,
( spl44_292
| spl44_6
| spl44_5
| ~ spl44_50
| ~ spl44_85
| ~ spl44_257 ),
inference(avatar_split_clause,[],[f3354,f2129,f1264,f1090,f873,f878,f3109]) ).
fof(f3354,plain,
( e21 = e23
| e22 = e23
| e23 = op2(e20,e21)
| ~ spl44_50
| ~ spl44_85
| ~ spl44_257 ),
inference(duplicate_literal_removal,[],[f3353]) ).
fof(f3353,plain,
( e21 = e23
| e22 = e23
| e21 = e23
| e23 = op2(e20,e21)
| ~ spl44_50
| ~ spl44_85
| ~ spl44_257 ),
inference(forward_demodulation,[],[f3087,f1091]) ).
fof(f1091,plain,
( e21 = h2(e10)
| ~ spl44_50 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f3087,plain,
( e22 = e23
| e21 = e23
| e23 = h2(e10)
| e23 = op2(e20,e21)
| ~ spl44_85
| ~ spl44_257 ),
inference(forward_demodulation,[],[f3086,f2131]) ).
fof(f2131,plain,
( e22 = op2(e22,e21)
| ~ spl44_257 ),
inference(avatar_component_clause,[],[f2129]) ).
fof(f3086,plain,
( e21 = e23
| e23 = h2(e10)
| e23 = op2(e22,e21)
| e23 = op2(e20,e21)
| ~ spl44_85 ),
inference(forward_demodulation,[],[f718,f1266]) ).
fof(f718,plain,
( e23 = h2(e10)
| e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e20,e21) ),
inference(forward_demodulation,[],[f337,f213]) ).
fof(f337,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3357,plain,
( spl44_3
| spl44_5
| spl44_6
| ~ spl44_50
| ~ spl44_85
| ~ spl44_257
| ~ spl44_289 ),
inference(avatar_split_clause,[],[f3298,f2618,f2129,f1264,f1090,f878,f873,f863]) ).
fof(f3298,plain,
( e22 = e23
| e21 = e23
| e20 = e23
| ~ spl44_50
| ~ spl44_85
| ~ spl44_257
| ~ spl44_289 ),
inference(forward_demodulation,[],[f3297,f2131]) ).
fof(f3297,plain,
( e21 = e23
| e20 = e23
| e23 = op2(e22,e21)
| ~ spl44_50
| ~ spl44_85
| ~ spl44_289 ),
inference(duplicate_literal_removal,[],[f3296]) ).
fof(f3296,plain,
( e21 = e23
| e20 = e23
| e21 = e23
| e23 = op2(e22,e21)
| ~ spl44_50
| ~ spl44_85
| ~ spl44_289 ),
inference(forward_demodulation,[],[f2783,f1266]) ).
fof(f2783,plain,
( e20 = e23
| e21 = e23
| e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| ~ spl44_50
| ~ spl44_289 ),
inference(forward_demodulation,[],[f2670,f2620]) ).
fof(f2670,plain,
( e21 = e23
| e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e20,e21)
| ~ spl44_50 ),
inference(forward_demodulation,[],[f718,f1091]) ).
fof(f3343,plain,
( spl44_3
| ~ spl44_289
| ~ spl44_292 ),
inference(avatar_split_clause,[],[f3315,f3109,f2618,f863]) ).
fof(f3315,plain,
( e20 = e23
| ~ spl44_289
| ~ spl44_292 ),
inference(superposition,[],[f2620,f3111]) ).
fof(f3336,plain,
( spl44_2
| ~ spl44_97
| ~ spl44_290 ),
inference(avatar_split_clause,[],[f3335,f2627,f1318,f858]) ).
fof(f3335,plain,
( e20 = e22
| ~ spl44_97
| ~ spl44_290 ),
inference(forward_demodulation,[],[f1320,f2629]) ).
fof(f3332,plain,
( spl44_97
| spl44_216
| spl44_4
| ~ spl44_50
| ~ spl44_253 ),
inference(avatar_split_clause,[],[f3292,f2109,f1090,f868,f1916,f1318]) ).
fof(f1916,plain,
( spl44_216
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_216])]) ).
fof(f3292,plain,
( e21 = e22
| e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| ~ spl44_50
| ~ spl44_253 ),
inference(duplicate_literal_removal,[],[f3291]) ).
fof(f3291,plain,
( e21 = e22
| e21 = e22
| e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| ~ spl44_50
| ~ spl44_253 ),
inference(forward_demodulation,[],[f2562,f2111]) ).
fof(f2562,plain,
( e21 = e22
| e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| ~ spl44_50 ),
inference(forward_demodulation,[],[f721,f1091]) ).
fof(f721,plain,
( e22 = h2(e10)
| e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e20) ),
inference(forward_demodulation,[],[f334,f213]) ).
fof(f334,plain,
( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3329,plain,
( spl44_281
| spl44_1
| spl44_294
| ~ spl44_46
| ~ spl44_241
| ~ spl44_290 ),
inference(avatar_split_clause,[],[f3295,f2627,f2047,f1072,f3326,f853,f2416]) ).
fof(f3295,plain,
( e21 = h3(e12)
| e20 = e21
| e21 = op2(e23,e22)
| ~ spl44_46
| ~ spl44_241
| ~ spl44_290 ),
inference(forward_demodulation,[],[f3294,f3156]) ).
fof(f3156,plain,
( op2(e20,e22) = h3(e12)
| ~ spl44_46
| ~ spl44_241 ),
inference(superposition,[],[f2049,f1073]) ).
fof(f3294,plain,
( e20 = e21
| e21 = op2(e23,e22)
| e21 = op2(e20,e22)
| ~ spl44_46
| ~ spl44_290 ),
inference(duplicate_literal_removal,[],[f3293]) ).
fof(f3293,plain,
( e20 = e21
| e20 = e21
| e21 = op2(e23,e22)
| e21 = op2(e20,e22)
| ~ spl44_46
| ~ spl44_290 ),
inference(forward_demodulation,[],[f2877,f1073]) ).
fof(f2877,plain,
( e20 = e21
| e21 = h3(e10)
| e21 = op2(e23,e22)
| e21 = op2(e20,e22)
| ~ spl44_290 ),
inference(forward_demodulation,[],[f714,f2629]) ).
fof(f714,plain,
( e21 = h3(e10)
| e21 = op2(e23,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(forward_demodulation,[],[f341,f209]) ).
fof(f341,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3286,plain,
( spl44_1
| ~ spl44_99
| ~ spl44_253 ),
inference(avatar_split_clause,[],[f3281,f2109,f1327,f853]) ).
fof(f3281,plain,
( e20 = e21
| ~ spl44_99
| ~ spl44_253 ),
inference(superposition,[],[f1329,f2111]) ).
fof(f3273,plain,
( spl44_1
| ~ spl44_50
| ~ spl44_52 ),
inference(avatar_split_clause,[],[f3272,f1099,f1090,f853]) ).
fof(f3272,plain,
( e20 = e21
| ~ spl44_50
| ~ spl44_52 ),
inference(forward_demodulation,[],[f1091,f1100]) ).
fof(f3254,plain,
( spl44_271
| spl44_2
| spl44_6
| spl44_4
| ~ spl44_58
| ~ spl44_253
| ~ spl44_283 ),
inference(avatar_split_clause,[],[f3222,f2444,f2109,f1126,f868,f878,f858,f2261]) ).
fof(f3222,plain,
( e21 = e22
| e22 = e23
| e20 = e22
| e22 = op2(e23,e20)
| ~ spl44_58
| ~ spl44_253
| ~ spl44_283 ),
inference(forward_demodulation,[],[f3068,f2111]) ).
fof(f3068,plain,
( e22 = e23
| e20 = e22
| e22 = op2(e23,e20)
| e22 = op2(e21,e20)
| ~ spl44_58
| ~ spl44_283 ),
inference(forward_demodulation,[],[f3067,f2446]) ).
fof(f3067,plain,
( e20 = e22
| e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| ~ spl44_58 ),
inference(forward_demodulation,[],[f728,f1127]) ).
fof(f3216,plain,
( spl44_2
| ~ spl44_46
| ~ spl44_79
| ~ spl44_293 ),
inference(avatar_split_clause,[],[f3187,f3179,f1231,f1072,f858]) ).
fof(f3187,plain,
( e20 = e22
| ~ spl44_46
| ~ spl44_79
| ~ spl44_293 ),
inference(forward_demodulation,[],[f3183,f1073]) ).
fof(f3183,plain,
( e22 = h3(e10)
| ~ spl44_79
| ~ spl44_293 ),
inference(superposition,[],[f3181,f1233]) ).
fof(f3189,plain,
( spl44_285
| spl44_281
| spl44_1
| spl44_5
| ~ spl44_46
| ~ spl44_279 ),
inference(avatar_split_clause,[],[f3150,f2340,f1072,f873,f853,f2416,f2550]) ).
fof(f3150,plain,
( e21 = e23
| e20 = e21
| e21 = op2(e23,e22)
| e21 = op2(e20,e22)
| ~ spl44_46
| ~ spl44_279 ),
inference(forward_demodulation,[],[f3149,f2342]) ).
fof(f3149,plain,
( e20 = e21
| e21 = op2(e23,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22)
| ~ spl44_46 ),
inference(forward_demodulation,[],[f714,f1073]) ).
fof(f3182,plain,
( spl44_293
| spl44_3
| spl44_50
| spl44_58 ),
inference(avatar_split_clause,[],[f821,f1126,f1090,f863,f3179]) ).
fof(f821,plain,
( e20 = h1(e10)
| e21 = h2(e10)
| e20 = e23
| e22 = op2(e22,e22) ),
inference(forward_demodulation,[],[f820,f205]) ).
fof(f820,plain,
( e21 = h2(e10)
| e20 = e23
| e22 = op2(e22,e22)
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[],[f819,f213]) ).
fof(f819,plain,
( e20 = e23
| e22 = op2(e22,e22)
| e21 = op2(e21,e21)
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[],[f499,f220]) ).
fof(f220,plain,
e20 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e22 = op2(op2(e23,e23),e23)
& e21 = op2(op2(op2(e23,e23),e23),e23)
& e20 = op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f499,plain,
( e23 = op2(e23,e23)
| e22 = op2(e22,e22)
| e21 = op2(e21,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e23 = op2(e23,e23)
| e22 = op2(e22,e22)
| e21 = op2(e21,e21)
| e20 = op2(e20,e20) )
& ( sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 ) ),
inference(definition_folding,[],[f11,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34]) ).
fof(f34,plain,
( ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e20,e20) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f35,plain,
( ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e21 = op2(e20,e21) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f36,plain,
( ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e22 = op2(e20,e22) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f37,plain,
( ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,e23) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f39,plain,
( ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e21,e21) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f40,plain,
( ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e22 = op2(e21,e22) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f42,plain,
( ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e20 = op2(e22,e20) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f43,plain,
( ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e21 = op2(e22,e21) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f44,plain,
( ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e22 = op2(e22,e22) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f45,plain,
( ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e23 = op2(e22,e23) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f46,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e20 = op2(e23,e20) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f47,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e21 = op2(e23,e21) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f48,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e22 = op2(e23,e22) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f49,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e23 = op2(e23,e23) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f11,axiom,
( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e23 = op2(e23,e23)
| e22 = op2(e22,e22)
| e21 = op2(e21,e21)
| e20 = op2(e20,e20) )
& ( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e23 = op2(e23,e23) )
| ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e22 = op2(e23,e22) )
| ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e21 = op2(e23,e21) )
| ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e20 = op2(e23,e20) )
| ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e23 = op2(e22,e23) )
| ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e22 = op2(e22,e22) )
| ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e21 = op2(e22,e21) )
| ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e20 = op2(e22,e20) )
| ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e23 = op2(e21,e23) )
| ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e22 = op2(e21,e22) )
| ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e21,e21) )
| ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e20 = op2(e21,e20) )
| ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,e23) )
| ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e22 = op2(e20,e22) )
| ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e21 = op2(e20,e21) )
| ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e20,e20) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f3172,plain,
( spl44_253
| spl44_291
| spl44_5
| spl44_1
| ~ spl44_58
| ~ spl44_283 ),
inference(avatar_split_clause,[],[f3066,f2444,f1126,f853,f873,f3010,f2109]) ).
fof(f3066,plain,
( e20 = e21
| e21 = e23
| e21 = op2(e23,e20)
| e21 = op2(e21,e20)
| ~ spl44_58
| ~ spl44_283 ),
inference(forward_demodulation,[],[f2867,f1127]) ).
fof(f2867,plain,
( e21 = e23
| e21 = h1(e10)
| e21 = op2(e23,e20)
| e21 = op2(e21,e20)
| ~ spl44_283 ),
inference(forward_demodulation,[],[f730,f2446]) ).
fof(f3165,plain,
( spl44_150
| spl44_46
| spl44_3
| spl44_2
| ~ spl44_257
| ~ spl44_283 ),
inference(avatar_split_clause,[],[f3164,f2444,f2129,f858,f863,f1072,f1574]) ).
fof(f3164,plain,
( e20 = e22
| e20 = e23
| e20 = h3(e10)
| e20 = op2(e22,e23)
| ~ spl44_257
| ~ spl44_283 ),
inference(forward_demodulation,[],[f2989,f2131]) ).
fof(f2989,plain,
( e20 = e23
| e20 = h3(e10)
| e20 = op2(e22,e23)
| e20 = op2(e22,e21)
| ~ spl44_283 ),
inference(forward_demodulation,[],[f717,f2446]) ).
fof(f3160,plain,
( spl44_281
| spl44_1
| spl44_5
| spl44_4
| ~ spl44_46
| ~ spl44_241
| ~ spl44_270
| ~ spl44_279 ),
inference(avatar_split_clause,[],[f3144,f2340,f2250,f2047,f1072,f868,f873,f853,f2416]) ).
fof(f3144,plain,
( e21 = e22
| e21 = e23
| e20 = e21
| e21 = op2(e23,e22)
| ~ spl44_46
| ~ spl44_241
| ~ spl44_270
| ~ spl44_279 ),
inference(forward_demodulation,[],[f3143,f3140]) ).
fof(f3140,plain,
( e22 = op2(e20,e22)
| ~ spl44_46
| ~ spl44_241
| ~ spl44_270 ),
inference(forward_demodulation,[],[f3040,f2252]) ).
fof(f3040,plain,
( op2(e20,e22) = h3(e12)
| ~ spl44_46
| ~ spl44_241 ),
inference(superposition,[],[f2049,f1073]) ).
fof(f3143,plain,
( e21 = e23
| e20 = e21
| e21 = op2(e23,e22)
| e21 = op2(e20,e22)
| ~ spl44_46
| ~ spl44_279 ),
inference(forward_demodulation,[],[f3095,f2342]) ).
fof(f3095,plain,
( e20 = e21
| e21 = op2(e23,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22)
| ~ spl44_46 ),
inference(forward_demodulation,[],[f714,f1073]) ).
fof(f3142,plain,
( spl44_4
| ~ spl44_133
| ~ spl44_288 ),
inference(avatar_split_clause,[],[f3105,f2591,f1483,f868]) ).
fof(f3105,plain,
( e21 = e22
| ~ spl44_133
| ~ spl44_288 ),
inference(superposition,[],[f2593,f1485]) ).
fof(f2593,plain,
( e21 = op2(e20,e23)
| ~ spl44_288 ),
inference(avatar_component_clause,[],[f2591]) ).
fof(f3136,plain,
( spl44_46
| spl44_3
| spl44_252
| ~ spl44_95
| ~ spl44_133
| ~ spl44_283
| ~ spl44_288 ),
inference(avatar_split_clause,[],[f3130,f2591,f2444,f1483,f1309,f2105,f863,f1072]) ).
fof(f3130,plain,
( e20 = op2(e21,e21)
| e20 = e23
| e20 = h3(e10)
| ~ spl44_95
| ~ spl44_133
| ~ spl44_283
| ~ spl44_288 ),
inference(forward_demodulation,[],[f3129,f3105]) ).
fof(f3129,plain,
( e20 = e23
| e20 = h3(e10)
| e20 = op2(e22,e21)
| ~ spl44_95
| ~ spl44_133
| ~ spl44_283
| ~ spl44_288 ),
inference(duplicate_literal_removal,[],[f3128]) ).
fof(f3128,plain,
( e20 = e23
| e20 = e23
| e20 = h3(e10)
| e20 = op2(e22,e21)
| ~ spl44_95
| ~ spl44_133
| ~ spl44_283
| ~ spl44_288 ),
inference(forward_demodulation,[],[f3127,f1311]) ).
fof(f3127,plain,
( e20 = op2(e21,e23)
| e20 = e23
| e20 = h3(e10)
| e20 = op2(e22,e21)
| ~ spl44_133
| ~ spl44_283
| ~ spl44_288 ),
inference(forward_demodulation,[],[f2989,f3105]) ).
fof(f3131,plain,
( spl44_3
| spl44_5
| spl44_292
| ~ spl44_58
| ~ spl44_133
| ~ spl44_288 ),
inference(avatar_split_clause,[],[f3121,f2591,f1483,f1126,f3109,f873,f863]) ).
fof(f3121,plain,
( e23 = op2(e20,e21)
| e21 = e23
| e20 = e23
| ~ spl44_58
| ~ spl44_133
| ~ spl44_288 ),
inference(duplicate_literal_removal,[],[f3120]) ).
fof(f3120,plain,
( e23 = op2(e20,e21)
| e21 = e23
| e20 = e23
| e23 = op2(e20,e21)
| ~ spl44_58
| ~ spl44_133
| ~ spl44_288 ),
inference(forward_demodulation,[],[f3119,f3105]) ).
fof(f3119,plain,
( e21 = e23
| e20 = e23
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| ~ spl44_58
| ~ spl44_133
| ~ spl44_288 ),
inference(forward_demodulation,[],[f3089,f3105]) ).
fof(f3112,plain,
( spl44_292
| spl44_3
| spl44_6
| ~ spl44_46
| ~ spl44_58
| ~ spl44_133
| ~ spl44_241
| ~ spl44_270 ),
inference(avatar_split_clause,[],[f3091,f2250,f2047,f1483,f1126,f1072,f878,f863,f3109]) ).
fof(f3091,plain,
( e22 = e23
| e20 = e23
| e23 = op2(e20,e21)
| ~ spl44_46
| ~ spl44_58
| ~ spl44_133
| ~ spl44_241
| ~ spl44_270 ),
inference(duplicate_literal_removal,[],[f3090]) ).
fof(f3090,plain,
( e22 = e23
| e20 = e23
| e22 = e23
| e23 = op2(e20,e21)
| ~ spl44_46
| ~ spl44_58
| ~ spl44_133
| ~ spl44_241
| ~ spl44_270 ),
inference(forward_demodulation,[],[f3089,f3042]) ).
fof(f3042,plain,
( e22 = op2(e20,e22)
| ~ spl44_46
| ~ spl44_241
| ~ spl44_270 ),
inference(forward_demodulation,[],[f3040,f2252]) ).
fof(f3094,plain,
( spl44_6
| ~ spl44_46
| ~ spl44_241
| ~ spl44_270
| ~ spl44_278 ),
inference(avatar_split_clause,[],[f3093,f2336,f2250,f2047,f1072,f878]) ).
fof(f3093,plain,
( e22 = e23
| ~ spl44_46
| ~ spl44_241
| ~ spl44_270
| ~ spl44_278 ),
inference(forward_demodulation,[],[f2338,f3042]) ).
fof(f3085,plain,
( spl44_5
| ~ spl44_279
| ~ spl44_286 ),
inference(avatar_split_clause,[],[f3061,f2574,f2340,f873]) ).
fof(f3061,plain,
( e21 = e23
| ~ spl44_279
| ~ spl44_286 ),
inference(forward_demodulation,[],[f2342,f2576]) ).
fof(f2576,plain,
( e21 = op2(e21,e22)
| ~ spl44_286 ),
inference(avatar_component_clause,[],[f2574]) ).
fof(f3063,plain,
( spl44_5
| ~ spl44_258
| ~ spl44_291 ),
inference(avatar_split_clause,[],[f3014,f3010,f2135,f873]) ).
fof(f3014,plain,
( e21 = e23
| ~ spl44_258
| ~ spl44_291 ),
inference(superposition,[],[f3012,f2137]) ).
fof(f3012,plain,
( e21 = op2(e23,e20)
| ~ spl44_291 ),
inference(avatar_component_clause,[],[f3010]) ).
fof(f3043,plain,
( spl44_282
| spl44_138
| spl44_52
| spl44_1
| ~ spl44_105 ),
inference(avatar_split_clause,[],[f2970,f1354,f853,f1099,f1511,f2431]) ).
fof(f2970,plain,
( e20 = e21
| e20 = h2(e10)
| e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| ~ spl44_105 ),
inference(forward_demodulation,[],[f724,f1356]) ).
fof(f3037,plain,
( spl44_136
| spl44_46
| spl44_1
| spl44_3
| ~ spl44_278
| ~ spl44_286 ),
inference(avatar_split_clause,[],[f2993,f2574,f2336,f863,f853,f1072,f1500]) ).
fof(f2993,plain,
( e20 = e23
| e20 = e21
| e20 = h3(e10)
| e20 = op2(e23,e22)
| ~ spl44_278
| ~ spl44_286 ),
inference(forward_demodulation,[],[f2992,f2338]) ).
fof(f2992,plain,
( e20 = e21
| e20 = h3(e10)
| e20 = op2(e23,e22)
| e20 = op2(e20,e22)
| ~ spl44_286 ),
inference(forward_demodulation,[],[f716,f2576]) ).
fof(f3029,plain,
( spl44_257
| spl44_42
| spl44_4
| spl44_6
| ~ spl44_251
| ~ spl44_283 ),
inference(avatar_split_clause,[],[f2987,f2444,f2100,f878,f868,f1054,f2129]) ).
fof(f2987,plain,
( e22 = e23
| e21 = e22
| e22 = h3(e10)
| e22 = op2(e22,e21)
| ~ spl44_251
| ~ spl44_283 ),
inference(forward_demodulation,[],[f2788,f2446]) ).
fof(f2788,plain,
( e21 = e22
| e22 = h3(e10)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20)
| ~ spl44_251 ),
inference(forward_demodulation,[],[f713,f2102]) ).
fof(f713,plain,
( e22 = h3(e10)
| e22 = op2(e22,e23)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(forward_demodulation,[],[f342,f209]) ).
fof(f342,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3021,plain,
( spl44_87
| spl44_58
| spl44_3
| spl44_2
| ~ spl44_283
| ~ spl44_287 ),
inference(avatar_split_clause,[],[f2870,f2583,f2444,f858,f863,f1126,f1273]) ).
fof(f1273,plain,
( spl44_87
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_87])]) ).
fof(f2870,plain,
( e20 = e22
| e20 = e23
| e20 = h1(e10)
| e20 = op2(e23,e20)
| ~ spl44_283
| ~ spl44_287 ),
inference(forward_demodulation,[],[f2869,f2585]) ).
fof(f2869,plain,
( e20 = e23
| e20 = h1(e10)
| e20 = op2(e23,e20)
| e20 = op2(e21,e20)
| ~ spl44_283 ),
inference(forward_demodulation,[],[f732,f2446]) ).
fof(f732,plain,
( e20 = h1(e10)
| e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20) ),
inference(forward_demodulation,[],[f323,f205]) ).
fof(f323,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3013,plain,
( spl44_291
| spl44_56
| spl44_5
| spl44_4
| ~ spl44_283
| ~ spl44_287 ),
inference(avatar_split_clause,[],[f2868,f2583,f2444,f868,f873,f1117,f3010]) ).
fof(f2868,plain,
( e21 = e22
| e21 = e23
| e21 = h1(e10)
| e21 = op2(e23,e20)
| ~ spl44_283
| ~ spl44_287 ),
inference(forward_demodulation,[],[f2867,f2585]) ).
fof(f3008,plain,
( ~ spl44_50
| ~ spl44_105
| spl44_160 ),
inference(avatar_split_clause,[],[f2958,f1627,f1354,f1090]) ).
fof(f1627,plain,
( spl44_160
<=> op2(e20,e21) = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_160])]) ).
fof(f2958,plain,
( e21 != h2(e10)
| ~ spl44_105
| spl44_160 ),
inference(superposition,[],[f1629,f1356]) ).
fof(f1629,plain,
( op2(e20,e21) != h2(e10)
| spl44_160 ),
inference(avatar_component_clause,[],[f1627]) ).
fof(f2994,plain,
( ~ spl44_42
| ~ spl44_83
| spl44_155 ),
inference(avatar_split_clause,[],[f2527,f1602,f1255,f1054]) ).
fof(f1602,plain,
( spl44_155
<=> op2(e23,e22) = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_155])]) ).
fof(f2527,plain,
( e22 != h3(e10)
| ~ spl44_83
| spl44_155 ),
inference(superposition,[],[f1604,f1257]) ).
fof(f1604,plain,
( op2(e23,e22) != h3(e10)
| spl44_155 ),
inference(avatar_component_clause,[],[f1602]) ).
fof(f2986,plain,
( spl44_1
| ~ spl44_286
| ~ spl44_290 ),
inference(avatar_split_clause,[],[f2910,f2627,f2574,f853]) ).
fof(f2910,plain,
( e20 = e21
| ~ spl44_286
| ~ spl44_290 ),
inference(forward_demodulation,[],[f2576,f2629]) ).
fof(f2966,plain,
( spl44_87
| ~ spl44_85
| ~ spl44_91
| ~ spl44_282 ),
inference(avatar_split_clause,[],[f2480,f2431,f1291,f1264,f1273]) ).
fof(f1291,plain,
( spl44_91
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_91])]) ).
fof(f2480,plain,
( e20 = op2(e23,e20)
| ~ spl44_85
| ~ spl44_91
| ~ spl44_282 ),
inference(forward_demodulation,[],[f1266,f2435]) ).
fof(f2435,plain,
( e20 = e21
| ~ spl44_91
| ~ spl44_282 ),
inference(superposition,[],[f2433,f1293]) ).
fof(f1293,plain,
( e21 = op2(e22,e21)
| ~ spl44_91 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f2916,plain,
( spl44_2
| ~ spl44_91
| ~ spl44_257
| ~ spl44_282 ),
inference(avatar_split_clause,[],[f2887,f2431,f2129,f1291,f858]) ).
fof(f2887,plain,
( e20 = e22
| ~ spl44_91
| ~ spl44_257
| ~ spl44_282 ),
inference(forward_demodulation,[],[f2886,f2435]) ).
fof(f2886,plain,
( e21 = e22
| ~ spl44_91
| ~ spl44_257 ),
inference(forward_demodulation,[],[f2131,f1293]) ).
fof(f2908,plain,
( spl44_3
| ~ spl44_279
| ~ spl44_290 ),
inference(avatar_split_clause,[],[f2882,f2627,f2340,f863]) ).
fof(f2882,plain,
( e20 = e23
| ~ spl44_279
| ~ spl44_290 ),
inference(forward_demodulation,[],[f2342,f2629]) ).
fof(f2852,plain,
( spl44_6
| ~ spl44_255
| ~ spl44_283 ),
inference(avatar_split_clause,[],[f2830,f2444,f2119,f878]) ).
fof(f2830,plain,
( e22 = e23
| ~ spl44_255
| ~ spl44_283 ),
inference(superposition,[],[f2121,f2446]) ).
fof(f2836,plain,
( spl44_87
| spl44_1
| spl44_2
| spl44_3
| ~ spl44_56
| ~ spl44_283
| ~ spl44_287 ),
inference(avatar_split_clause,[],[f2825,f2583,f2444,f1117,f863,f858,f853,f1273]) ).
fof(f2825,plain,
( e20 = e23
| e20 = e22
| e20 = e21
| e20 = op2(e23,e20)
| ~ spl44_56
| ~ spl44_283
| ~ spl44_287 ),
inference(forward_demodulation,[],[f2784,f2446]) ).
fof(f2784,plain,
( e20 = e22
| e20 = e21
| e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| ~ spl44_56
| ~ spl44_287 ),
inference(forward_demodulation,[],[f2733,f2585]) ).
fof(f2733,plain,
( e20 = e21
| e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| ~ spl44_56 ),
inference(forward_demodulation,[],[f732,f1118]) ).
fof(f2829,plain,
( spl44_255
| spl44_42
| spl44_4
| ~ spl44_91
| ~ spl44_251 ),
inference(avatar_split_clause,[],[f2790,f2100,f1291,f868,f1054,f2119]) ).
fof(f2790,plain,
( e21 = e22
| e22 = h3(e10)
| e22 = op2(e22,e20)
| ~ spl44_91
| ~ spl44_251 ),
inference(duplicate_literal_removal,[],[f2789]) ).
fof(f2789,plain,
( e21 = e22
| e21 = e22
| e22 = h3(e10)
| e22 = op2(e22,e20)
| ~ spl44_91
| ~ spl44_251 ),
inference(forward_demodulation,[],[f2788,f1293]) ).
fof(f2824,plain,
( spl44_103
| spl44_42
| spl44_4
| ~ spl44_281
| ~ spl44_286 ),
inference(avatar_split_clause,[],[f2787,f2574,f2416,f868,f1054,f1345]) ).
fof(f2787,plain,
( e21 = e22
| e22 = h3(e10)
| e22 = op2(e20,e22)
| ~ spl44_281
| ~ spl44_286 ),
inference(duplicate_literal_removal,[],[f2786]) ).
fof(f2786,plain,
( e21 = e22
| e21 = e22
| e22 = h3(e10)
| e22 = op2(e20,e22)
| ~ spl44_281
| ~ spl44_286 ),
inference(forward_demodulation,[],[f2785,f2576]) ).
fof(f2785,plain,
( e21 = e22
| e22 = h3(e10)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22)
| ~ spl44_281 ),
inference(forward_demodulation,[],[f712,f2418]) ).
fof(f2782,plain,
( spl44_5
| ~ spl44_253
| ~ spl44_283
| ~ spl44_287 ),
inference(avatar_split_clause,[],[f2747,f2583,f2444,f2109,f873]) ).
fof(f2747,plain,
( e21 = e23
| ~ spl44_253
| ~ spl44_283
| ~ spl44_287 ),
inference(forward_demodulation,[],[f2730,f2636]) ).
fof(f2730,plain,
( e22 = e23
| ~ spl44_253
| ~ spl44_283
| ~ spl44_287 ),
inference(forward_demodulation,[],[f2729,f2585]) ).
fof(f2729,plain,
( e23 = op2(e21,e20)
| ~ spl44_253
| ~ spl44_283
| ~ spl44_287 ),
inference(forward_demodulation,[],[f2446,f2636]) ).
fof(f2765,plain,
( spl44_1
| ~ spl44_103
| ~ spl44_253
| ~ spl44_287
| ~ spl44_289 ),
inference(avatar_split_clause,[],[f2660,f2618,f2583,f2109,f1345,f853]) ).
fof(f2660,plain,
( e20 = e21
| ~ spl44_103
| ~ spl44_253
| ~ spl44_287
| ~ spl44_289 ),
inference(forward_demodulation,[],[f2659,f2620]) ).
fof(f2659,plain,
( e21 = op2(e20,e21)
| ~ spl44_103
| ~ spl44_253
| ~ spl44_287 ),
inference(forward_demodulation,[],[f1347,f2636]) ).
fof(f2739,plain,
( spl44_1
| ~ spl44_91
| ~ spl44_252
| ~ spl44_253
| ~ spl44_287 ),
inference(avatar_split_clause,[],[f2698,f2583,f2109,f2105,f1291,f853]) ).
fof(f2698,plain,
( e20 = e21
| ~ spl44_91
| ~ spl44_252
| ~ spl44_253
| ~ spl44_287 ),
inference(forward_demodulation,[],[f2697,f2106]) ).
fof(f2697,plain,
( e21 = op2(e21,e21)
| ~ spl44_91
| ~ spl44_253
| ~ spl44_287 ),
inference(forward_demodulation,[],[f1293,f2636]) ).
fof(f2704,plain,
( spl44_3
| ~ spl44_93
| ~ spl44_283 ),
inference(avatar_split_clause,[],[f2681,f2444,f1300,f863]) ).
fof(f2681,plain,
( e20 = e23
| ~ spl44_93
| ~ spl44_283 ),
inference(forward_demodulation,[],[f2446,f1302]) ).
fof(f2694,plain,
( spl44_1
| ~ spl44_105
| ~ spl44_289 ),
inference(avatar_split_clause,[],[f2651,f2618,f1354,f853]) ).
fof(f2651,plain,
( e20 = e21
| ~ spl44_105
| ~ spl44_289 ),
inference(forward_demodulation,[],[f1356,f2620]) ).
fof(f2685,plain,
( ~ spl44_90
| ~ spl44_42 ),
inference(avatar_split_clause,[],[f2663,f1054,f1287]) ).
fof(f1287,plain,
( spl44_90
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_90])]) ).
fof(f2663,plain,
( ~ sP21
| ~ spl44_42 ),
inference(trivial_inequality_removal,[],[f2662]) ).
fof(f2662,plain,
( e22 != e22
| ~ sP21
| ~ spl44_42 ),
inference(forward_demodulation,[],[f770,f1055]) ).
fof(f1055,plain,
( e22 = h3(e10)
| ~ spl44_42 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f770,plain,
( e22 != h3(e10)
| ~ sP21 ),
inference(forward_demodulation,[],[f639,f209]) ).
fof(f639,plain,
( e22 != op2(e22,e22)
| ~ sP21 ),
inference(duplicate_literal_removal,[],[f451]) ).
fof(f451,plain,
( e22 != op2(e22,e22)
| e22 != op2(e22,e22)
| ~ sP21 ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e21 = op2(e22,e21) )
| ~ sP21 ),
inference(nnf_transformation,[],[f43]) ).
fof(f2661,plain,
( ~ spl44_102
| ~ spl44_40
| ~ spl44_258 ),
inference(avatar_split_clause,[],[f2656,f2135,f1045,f1341]) ).
fof(f1341,plain,
( spl44_102
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_102])]) ).
fof(f2656,plain,
( ~ sP14
| ~ spl44_40
| ~ spl44_258 ),
inference(trivial_inequality_removal,[],[f2655]) ).
fof(f2655,plain,
( e23 != e23
| ~ sP14
| ~ spl44_40
| ~ spl44_258 ),
inference(forward_demodulation,[],[f2654,f2137]) ).
fof(f2654,plain,
( e23 != op2(e23,e20)
| ~ sP14
| ~ spl44_40 ),
inference(trivial_inequality_removal,[],[f2653]) ).
fof(f2653,plain,
( e20 != e20
| e23 != op2(e23,e20)
| ~ sP14
| ~ spl44_40 ),
inference(forward_demodulation,[],[f798,f1046]) ).
fof(f798,plain,
( e20 != h4(e10)
| e23 != op2(e23,e20)
| ~ sP14 ),
inference(forward_demodulation,[],[f487,f217]) ).
fof(f217,plain,
op2(e23,e23) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( op2(op2(e23,e23),e23) = h4(e12)
& op2(op2(op2(e23,e23),e23),e23) = h4(e11)
& op2(e23,e23) = h4(e10)
& e23 = h4(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f487,plain,
( e23 != op2(e23,e20)
| e20 != op2(e23,e23)
| ~ sP14 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e22 = op2(e20,e22) )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f2652,plain,
( ~ spl44_104
| ~ spl44_40
| ~ spl44_258 ),
inference(avatar_split_clause,[],[f2650,f2135,f1045,f1350]) ).
fof(f1350,plain,
( spl44_104
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_104])]) ).
fof(f2650,plain,
( ~ sP13
| ~ spl44_40
| ~ spl44_258 ),
inference(trivial_inequality_removal,[],[f2649]) ).
fof(f2649,plain,
( e23 != e23
| ~ sP13
| ~ spl44_40
| ~ spl44_258 ),
inference(forward_demodulation,[],[f2648,f2137]) ).
fof(f2648,plain,
( e23 != op2(e23,e20)
| ~ sP13
| ~ spl44_40 ),
inference(trivial_inequality_removal,[],[f2647]) ).
fof(f2647,plain,
( e20 != e20
| e23 != op2(e23,e20)
| ~ sP13
| ~ spl44_40 ),
inference(forward_demodulation,[],[f802,f1046]) ).
fof(f802,plain,
( e20 != h4(e10)
| e23 != op2(e23,e20)
| ~ sP13 ),
inference(forward_demodulation,[],[f492,f217]) ).
fof(f492,plain,
( e23 != op2(e23,e20)
| e20 != op2(e23,e23)
| ~ sP13 ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e21 = op2(e20,e21) )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f2646,plain,
( ~ spl44_92
| ~ spl44_42 ),
inference(avatar_split_clause,[],[f2643,f1054,f1296]) ).
fof(f1296,plain,
( spl44_92
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_92])]) ).
fof(f2643,plain,
( ~ sP20
| ~ spl44_42 ),
inference(trivial_inequality_removal,[],[f2642]) ).
fof(f2642,plain,
( e22 != e22
| ~ sP20
| ~ spl44_42 ),
inference(forward_demodulation,[],[f774,f1055]) ).
fof(f774,plain,
( e22 != h3(e10)
| ~ sP20 ),
inference(forward_demodulation,[],[f638,f209]) ).
fof(f638,plain,
( e22 != op2(e22,e22)
| ~ sP20 ),
inference(duplicate_literal_removal,[],[f456]) ).
fof(f456,plain,
( e22 != op2(e22,e22)
| e22 != op2(e22,e22)
| ~ sP20 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e20 = op2(e22,e20) )
| ~ sP20 ),
inference(nnf_transformation,[],[f42]) ).
fof(f2639,plain,
( spl44_4
| ~ spl44_83
| ~ spl44_281 ),
inference(avatar_split_clause,[],[f2607,f2416,f1255,f868]) ).
fof(f2607,plain,
( e21 = e22
| ~ spl44_83
| ~ spl44_281 ),
inference(superposition,[],[f2418,f1257]) ).
fof(f2632,plain,
( spl44_252
| ~ spl44_83
| ~ spl44_281
| ~ spl44_290 ),
inference(avatar_split_clause,[],[f2631,f2627,f2416,f1255,f2105]) ).
fof(f2631,plain,
( e20 = op2(e21,e21)
| ~ spl44_83
| ~ spl44_281
| ~ spl44_290 ),
inference(forward_demodulation,[],[f2629,f2607]) ).
fof(f2630,plain,
( spl44_99
| spl44_290
| spl44_152
| spl44_1
| ~ spl44_50 ),
inference(avatar_split_clause,[],[f2547,f1090,f853,f1585,f2627,f1327]) ).
fof(f2547,plain,
( e20 = e21
| e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e20)
| ~ spl44_50 ),
inference(forward_demodulation,[],[f725,f1091]) ).
fof(f2621,plain,
( spl44_289
| ~ spl44_56 ),
inference(avatar_split_clause,[],[f818,f1117,f2618]) ).
fof(f818,plain,
( e21 != h1(e10)
| e20 = op2(e20,e21) ),
inference(forward_demodulation,[],[f501,f205]) ).
fof(f501,plain,
( e20 = op2(e20,e21)
| op2(e20,e20) != e21 ),
inference(cnf_transformation,[],[f50]) ).
fof(f2603,plain,
( spl44_6
| ~ spl44_257
| ~ spl44_284 ),
inference(avatar_split_clause,[],[f2566,f2448,f2129,f878]) ).
fof(f2566,plain,
( e22 = e23
| ~ spl44_257
| ~ spl44_284 ),
inference(superposition,[],[f2131,f2450]) ).
fof(f2596,plain,
( spl44_285
| ~ spl44_257
| ~ spl44_284
| ~ spl44_288 ),
inference(avatar_split_clause,[],[f2595,f2591,f2448,f2129,f2550]) ).
fof(f2595,plain,
( e21 = op2(e20,e22)
| ~ spl44_257
| ~ spl44_284
| ~ spl44_288 ),
inference(forward_demodulation,[],[f2593,f2566]) ).
fof(f2594,plain,
( spl44_105
| spl44_288
| spl44_56
| spl44_5
| ~ spl44_278 ),
inference(avatar_split_clause,[],[f2563,f2336,f873,f1117,f2591,f1354]) ).
fof(f2563,plain,
( e21 = e23
| e21 = h1(e10)
| e21 = op2(e20,e23)
| e21 = op2(e20,e21)
| ~ spl44_278 ),
inference(forward_demodulation,[],[f731,f2338]) ).
fof(f2586,plain,
( spl44_287
| spl44_271
| spl44_54
| spl44_2
| ~ spl44_93 ),
inference(avatar_split_clause,[],[f2522,f1300,f858,f1108,f2261,f2583]) ).
fof(f2522,plain,
( e20 = e22
| e22 = h1(e10)
| e22 = op2(e23,e20)
| e22 = op2(e21,e20)
| ~ spl44_93 ),
inference(forward_demodulation,[],[f728,f1302]) ).
fof(f2577,plain,
( spl44_286
| spl44_281
| spl44_4
| spl44_5
| ~ spl44_42
| ~ spl44_278 ),
inference(avatar_split_clause,[],[f2561,f2336,f1054,f873,f868,f2416,f2574]) ).
fof(f2561,plain,
( e21 = e23
| e21 = e22
| e21 = op2(e23,e22)
| e21 = op2(e21,e22)
| ~ spl44_42
| ~ spl44_278 ),
inference(forward_demodulation,[],[f2465,f2338]) ).
fof(f2465,plain,
( e21 = e22
| e21 = op2(e23,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22)
| ~ spl44_42 ),
inference(forward_demodulation,[],[f714,f1055]) ).
fof(f2565,plain,
( spl44_222
| spl44_257
| spl44_4
| ~ spl44_50
| ~ spl44_85 ),
inference(avatar_split_clause,[],[f2487,f1264,f1090,f868,f2129,f1948]) ).
fof(f2487,plain,
( e21 = e22
| e22 = op2(e22,e21)
| e22 = op2(e20,e21)
| ~ spl44_50
| ~ spl44_85 ),
inference(duplicate_literal_removal,[],[f2486]) ).
fof(f2486,plain,
( e21 = e22
| e21 = e22
| e22 = op2(e22,e21)
| e22 = op2(e20,e21)
| ~ spl44_50
| ~ spl44_85 ),
inference(forward_demodulation,[],[f2456,f1266]) ).
fof(f2456,plain,
( e21 = e22
| e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e20,e21)
| ~ spl44_50 ),
inference(forward_demodulation,[],[f720,f1091]) ).
fof(f2560,plain,
( spl44_5
| ~ spl44_278
| ~ spl44_285 ),
inference(avatar_split_clause,[],[f2554,f2550,f2336,f873]) ).
fof(f2554,plain,
( e21 = e23
| ~ spl44_278
| ~ spl44_285 ),
inference(superposition,[],[f2552,f2338]) ).
fof(f2553,plain,
( spl44_285
| spl44_281
| spl44_4
| ~ spl44_42
| ~ spl44_97 ),
inference(avatar_split_clause,[],[f2485,f1318,f1054,f868,f2416,f2550]) ).
fof(f2485,plain,
( e21 = e22
| e21 = op2(e23,e22)
| e21 = op2(e20,e22)
| ~ spl44_42
| ~ spl44_97 ),
inference(duplicate_literal_removal,[],[f2484]) ).
fof(f2484,plain,
( e21 = e22
| e21 = e22
| e21 = op2(e23,e22)
| e21 = op2(e20,e22)
| ~ spl44_42
| ~ spl44_97 ),
inference(forward_demodulation,[],[f2465,f1320]) ).
fof(f2546,plain,
( ~ spl44_54
| ~ spl44_133
| spl44_146 ),
inference(avatar_split_clause,[],[f1556,f1552,f1483,f1108]) ).
fof(f1552,plain,
( spl44_146
<=> op2(e20,e23) = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_146])]) ).
fof(f1556,plain,
( e22 != h1(e10)
| ~ spl44_133
| spl44_146 ),
inference(forward_demodulation,[],[f1554,f1485]) ).
fof(f1554,plain,
( op2(e20,e23) != h1(e10)
| spl44_146 ),
inference(avatar_component_clause,[],[f1552]) ).
fof(f2540,plain,
( spl44_271
| spl44_54
| spl44_2
| ~ spl44_93
| ~ spl44_99 ),
inference(avatar_split_clause,[],[f2524,f1327,f1300,f858,f1108,f2261]) ).
fof(f2524,plain,
( e20 = e22
| e22 = h1(e10)
| e22 = op2(e23,e20)
| ~ spl44_93
| ~ spl44_99 ),
inference(duplicate_literal_removal,[],[f2523]) ).
fof(f2523,plain,
( e20 = e22
| e20 = e22
| e22 = h1(e10)
| e22 = op2(e23,e20)
| ~ spl44_93
| ~ spl44_99 ),
inference(forward_demodulation,[],[f2522,f1329]) ).
fof(f2521,plain,
( spl44_6
| ~ spl44_258
| ~ spl44_271 ),
inference(avatar_split_clause,[],[f2506,f2261,f2135,f878]) ).
fof(f2506,plain,
( e22 = e23
| ~ spl44_258
| ~ spl44_271 ),
inference(superposition,[],[f2263,f2137]) ).
fof(f2263,plain,
( e22 = op2(e23,e20)
| ~ spl44_271 ),
inference(avatar_component_clause,[],[f2261]) ).
fof(f2496,plain,
( spl44_5
| ~ spl44_91
| ~ spl44_284 ),
inference(avatar_split_clause,[],[f2452,f2448,f1291,f873]) ).
fof(f2452,plain,
( e21 = e23
| ~ spl44_91
| ~ spl44_284 ),
inference(forward_demodulation,[],[f2450,f1293]) ).
fof(f2482,plain,
( spl44_3
| ~ spl44_91
| ~ spl44_282
| ~ spl44_284 ),
inference(avatar_split_clause,[],[f2464,f2448,f2431,f1291,f863]) ).
fof(f2464,plain,
( e20 = e23
| ~ spl44_91
| ~ spl44_282
| ~ spl44_284 ),
inference(forward_demodulation,[],[f2452,f2435]) ).
fof(f2453,plain,
( spl44_5
| ~ spl44_280
| ~ spl44_281 ),
inference(avatar_split_clause,[],[f2420,f2416,f2344,f873]) ).
fof(f2344,plain,
( spl44_280
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_280])]) ).
fof(f2420,plain,
( e21 = e23
| ~ spl44_280
| ~ spl44_281 ),
inference(superposition,[],[f2418,f2346]) ).
fof(f2346,plain,
( e23 = op2(e23,e22)
| ~ spl44_280 ),
inference(avatar_component_clause,[],[f2344]) ).
fof(f2451,plain,
( spl44_283
| spl44_284
| spl44_89
| spl44_247 ),
inference(avatar_split_clause,[],[f711,f2081,f1282,f2448,f2444]) ).
fof(f1282,plain,
( spl44_89
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_89])]) ).
fof(f2081,plain,
( spl44_247
<=> e23 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_247])]) ).
fof(f711,plain,
( e23 = h3(e10)
| e23 = op2(e22,e23)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(forward_demodulation,[],[f344,f209]) ).
fof(f344,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2434,plain,
( spl44_93
| spl44_282
| spl44_150
| spl44_2
| ~ spl44_42 ),
inference(avatar_split_clause,[],[f2375,f1054,f858,f1574,f2431,f1300]) ).
fof(f2375,plain,
( e20 = e22
| e20 = op2(e22,e23)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20)
| ~ spl44_42 ),
inference(forward_demodulation,[],[f717,f1055]) ).
fof(f2419,plain,
( spl44_85
| spl44_281
| spl44_1
| spl44_5
| ~ spl44_258 ),
inference(avatar_split_clause,[],[f2351,f2135,f873,f853,f2416,f1264]) ).
fof(f2351,plain,
( e21 = e23
| e20 = e21
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| ~ spl44_258 ),
inference(forward_demodulation,[],[f709,f2137]) ).
fof(f709,plain,
( e20 = e21
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) ),
inference(forward_demodulation,[],[f348,f220]) ).
fof(f348,plain,
( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2391,plain,
( ~ spl44_87
| ~ spl44_40
| spl44_139 ),
inference(avatar_split_clause,[],[f1520,f1516,f1045,f1273]) ).
fof(f1516,plain,
( spl44_139
<=> op2(e23,e20) = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_139])]) ).
fof(f1520,plain,
( e20 != op2(e23,e20)
| ~ spl44_40
| spl44_139 ),
inference(forward_demodulation,[],[f1518,f1046]) ).
fof(f1518,plain,
( op2(e23,e20) != h4(e10)
| spl44_139 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f2374,plain,
( spl44_6
| ~ spl44_101
| ~ spl44_133 ),
inference(avatar_split_clause,[],[f2363,f1483,f1336,f878]) ).
fof(f1336,plain,
( spl44_101
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_101])]) ).
fof(f2363,plain,
( e22 = e23
| ~ spl44_101
| ~ spl44_133 ),
inference(forward_demodulation,[],[f1338,f1485]) ).
fof(f1338,plain,
( e23 = op2(e20,e23)
| ~ spl44_101 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f2371,plain,
( ~ spl44_100
| ~ spl44_40
| ~ spl44_258 ),
inference(avatar_split_clause,[],[f2368,f2135,f1045,f1332]) ).
fof(f1332,plain,
( spl44_100
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_100])]) ).
fof(f2368,plain,
( ~ sP15
| ~ spl44_40
| ~ spl44_258 ),
inference(trivial_inequality_removal,[],[f2367]) ).
fof(f2367,plain,
( e23 != e23
| ~ sP15
| ~ spl44_40
| ~ spl44_258 ),
inference(forward_demodulation,[],[f2366,f2137]) ).
fof(f2366,plain,
( e23 != op2(e23,e20)
| ~ sP15
| ~ spl44_40 ),
inference(trivial_inequality_removal,[],[f2365]) ).
fof(f2365,plain,
( e20 != e20
| e23 != op2(e23,e20)
| ~ sP15
| ~ spl44_40 ),
inference(forward_demodulation,[],[f794,f1046]) ).
fof(f794,plain,
( e20 != h4(e10)
| e23 != op2(e23,e20)
| ~ sP15 ),
inference(forward_demodulation,[],[f482,f217]) ).
fof(f482,plain,
( e23 != op2(e23,e20)
| e20 != op2(e23,e23)
| ~ sP15 ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,e23) )
| ~ sP15 ),
inference(nnf_transformation,[],[f37]) ).
fof(f2364,plain,
( ~ spl44_100
| ~ spl44_58 ),
inference(avatar_split_clause,[],[f2362,f1126,f1332]) ).
fof(f2362,plain,
( ~ sP15
| ~ spl44_58 ),
inference(trivial_inequality_removal,[],[f2361]) ).
fof(f2361,plain,
( e20 != e20
| ~ sP15
| ~ spl44_58 ),
inference(forward_demodulation,[],[f797,f1127]) ).
fof(f797,plain,
( e20 != h1(e10)
| ~ sP15 ),
inference(forward_demodulation,[],[f633,f205]) ).
fof(f633,plain,
( e20 != op2(e20,e20)
| ~ sP15 ),
inference(duplicate_literal_removal,[],[f479]) ).
fof(f479,plain,
( e20 != op2(e20,e20)
| e20 != op2(e20,e20)
| ~ sP15 ),
inference(cnf_transformation,[],[f92]) ).
fof(f2360,plain,
( ~ spl44_98
| ~ spl44_50 ),
inference(avatar_split_clause,[],[f2359,f1090,f1323]) ).
fof(f2359,plain,
( ~ sP16
| ~ spl44_50 ),
inference(trivial_inequality_removal,[],[f2358]) ).
fof(f2358,plain,
( e21 != e21
| ~ sP16
| ~ spl44_50 ),
inference(forward_demodulation,[],[f792,f1091]) ).
fof(f792,plain,
( e21 != h2(e10)
| ~ sP16 ),
inference(forward_demodulation,[],[f634,f213]) ).
fof(f634,plain,
( e21 != op2(e21,e21)
| ~ sP16 ),
inference(duplicate_literal_removal,[],[f475]) ).
fof(f475,plain,
( e21 != op2(e21,e21)
| e21 != op2(e21,e21)
| ~ sP16 ),
inference(cnf_transformation,[],[f91]) ).
fof(f2357,plain,
( ~ spl44_96
| ~ spl44_50 ),
inference(avatar_split_clause,[],[f2356,f1090,f1314]) ).
fof(f1314,plain,
( spl44_96
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_96])]) ).
fof(f2356,plain,
( ~ sP18
| ~ spl44_50 ),
inference(trivial_inequality_removal,[],[f2355]) ).
fof(f2355,plain,
( e21 != e21
| ~ sP18
| ~ spl44_50 ),
inference(forward_demodulation,[],[f783,f1091]) ).
fof(f783,plain,
( e21 != h2(e10)
| ~ sP18 ),
inference(forward_demodulation,[],[f636,f213]) ).
fof(f636,plain,
( e21 != op2(e21,e21)
| ~ sP18 ),
inference(duplicate_literal_removal,[],[f465]) ).
fof(f465,plain,
( e21 != op2(e21,e21)
| e21 != op2(e21,e21)
| ~ sP18 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e22 = op2(e21,e22) )
| ~ sP18 ),
inference(nnf_transformation,[],[f40]) ).
fof(f2354,plain,
( ~ spl44_94
| ~ spl44_50 ),
inference(avatar_split_clause,[],[f2353,f1090,f1305]) ).
fof(f2353,plain,
( ~ sP19
| ~ spl44_50 ),
inference(trivial_inequality_removal,[],[f2352]) ).
fof(f2352,plain,
( e21 != e21
| ~ sP19
| ~ spl44_50 ),
inference(forward_demodulation,[],[f779,f1091]) ).
fof(f779,plain,
( e21 != h2(e10)
| ~ sP19 ),
inference(forward_demodulation,[],[f637,f213]) ).
fof(f637,plain,
( e21 != op2(e21,e21)
| ~ sP19 ),
inference(duplicate_literal_removal,[],[f460]) ).
fof(f460,plain,
( e21 != op2(e21,e21)
| e21 != op2(e21,e21)
| ~ sP19 ),
inference(cnf_transformation,[],[f88]) ).
fof(f2350,plain,
( spl44_6
| ~ spl44_83
| ~ spl44_280 ),
inference(avatar_split_clause,[],[f2348,f2344,f1255,f878]) ).
fof(f2348,plain,
( e22 = e23
| ~ spl44_83
| ~ spl44_280 ),
inference(forward_demodulation,[],[f2346,f1257]) ).
fof(f2347,plain,
( spl44_278
| spl44_279
| spl44_280
| spl44_247 ),
inference(avatar_split_clause,[],[f710,f2081,f2344,f2340,f2336]) ).
fof(f710,plain,
( e23 = h3(e10)
| e23 = op2(e23,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(forward_demodulation,[],[f345,f209]) ).
fof(f345,plain,
( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2327,plain,
( spl44_268
| spl44_112
| spl44_26
| spl44_28
| ~ spl44_276 ),
inference(avatar_split_clause,[],[f2311,f2305,f988,f978,f1386,f2185]) ).
fof(f2311,plain,
( e12 = e13
| e11 = e12
| e12 = op1(e12,e12)
| e12 = op1(e12,e10)
| ~ spl44_276 ),
inference(forward_demodulation,[],[f742,f2307]) ).
fof(f742,plain,
( e11 = e12
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(forward_demodulation,[],[f390,f668]) ).
fof(f668,plain,
e11 = op1(e12,e13),
inference(forward_demodulation,[],[f224,f225]) ).
fof(f225,plain,
e12 = op1(op1(e13,e13),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f224,plain,
e11 = op1(op1(op1(e13,e13),e13),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f390,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2316,plain,
( spl44_277
| ~ spl44_50
| ~ spl44_80
| ~ spl44_243 ),
inference(avatar_split_clause,[],[f2213,f2058,f1236,f1090,f2313]) ).
fof(f2213,plain,
( e21 = h2(e12)
| ~ spl44_50
| ~ spl44_80
| ~ spl44_243 ),
inference(forward_demodulation,[],[f2212,f1091]) ).
fof(f2212,plain,
( h2(e10) = h2(e12)
| ~ spl44_50
| ~ spl44_80
| ~ spl44_243 ),
inference(forward_demodulation,[],[f2209,f1238]) ).
fof(f2209,plain,
( op2(e21,e21) = h2(e12)
| ~ spl44_50
| ~ spl44_243 ),
inference(superposition,[],[f2060,f1091]) ).
fof(f2310,plain,
( spl44_266
| ~ spl44_107
| ~ spl44_274
| ~ spl44_276 ),
inference(avatar_split_clause,[],[f2309,f2305,f2286,f1363,f2176]) ).
fof(f2176,plain,
( spl44_266
<=> e13 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_266])]) ).
fof(f2309,plain,
( e13 = op1(e11,e11)
| ~ spl44_107
| ~ spl44_274
| ~ spl44_276 ),
inference(forward_demodulation,[],[f2307,f2291]) ).
fof(f2291,plain,
( e11 = e12
| ~ spl44_107
| ~ spl44_274 ),
inference(superposition,[],[f2288,f1365]) ).
fof(f2308,plain,
( spl44_275
| spl44_276
| spl44_246
| spl44_27 ),
inference(avatar_split_clause,[],[f741,f983,f2076,f2305,f2301]) ).
fof(f741,plain,
( e11 = e13
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) ),
inference(forward_demodulation,[],[f392,f668]) ).
fof(f392,plain,
( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2289,plain,
( spl44_273
| spl44_109
| spl44_274
| spl44_23 ),
inference(avatar_split_clause,[],[f740,f963,f2286,f1372,f2282]) ).
fof(f740,plain,
( e10 = e11
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) ),
inference(forward_demodulation,[],[f396,f223]) ).
fof(f396,plain,
( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2271,plain,
( spl44_4
| ~ spl44_85
| ~ spl44_272 ),
inference(avatar_split_clause,[],[f2269,f2265,f1264,f868]) ).
fof(f2269,plain,
( e21 = e22
| ~ spl44_85
| ~ spl44_272 ),
inference(forward_demodulation,[],[f2267,f1266]) ).
fof(f2268,plain,
( spl44_271
| spl44_272
| spl44_83
| spl44_2 ),
inference(avatar_split_clause,[],[f707,f858,f1255,f2265,f2261]) ).
fof(f707,plain,
( e20 = e22
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) ),
inference(forward_demodulation,[],[f350,f220]) ).
fof(f350,plain,
( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2253,plain,
( spl44_270
| ~ spl44_42
| ~ spl44_79
| ~ spl44_241 ),
inference(avatar_split_clause,[],[f2206,f2047,f1231,f1054,f2250]) ).
fof(f2206,plain,
( e22 = h3(e12)
| ~ spl44_42
| ~ spl44_79
| ~ spl44_241 ),
inference(forward_demodulation,[],[f2205,f1055]) ).
fof(f2205,plain,
( h3(e10) = h3(e12)
| ~ spl44_42
| ~ spl44_79
| ~ spl44_241 ),
inference(forward_demodulation,[],[f2202,f1233]) ).
fof(f2202,plain,
( op2(e22,e22) = h3(e12)
| ~ spl44_42
| ~ spl44_241 ),
inference(superposition,[],[f2049,f1055]) ).
fof(f2247,plain,
( spl44_5
| ~ spl44_89
| ~ spl44_251 ),
inference(avatar_split_clause,[],[f2246,f2100,f1282,f873]) ).
fof(f2246,plain,
( e21 = e23
| ~ spl44_89
| ~ spl44_251 ),
inference(forward_demodulation,[],[f1284,f2102]) ).
fof(f1284,plain,
( e23 = op2(e22,e23)
| ~ spl44_89 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f2245,plain,
( spl44_101
| spl44_95
| spl44_89
| spl44_3 ),
inference(avatar_split_clause,[],[f704,f863,f1282,f1309,f1336]) ).
fof(f704,plain,
( e20 = e23
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(forward_demodulation,[],[f353,f220]) ).
fof(f353,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2238,plain,
( spl44_125
| spl44_117
| spl44_25
| spl44_27 ),
inference(avatar_split_clause,[],[f735,f983,f973,f1409,f1445]) ).
fof(f735,plain,
( e11 = e13
| e10 = e13
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(forward_demodulation,[],[f734,f668]) ).
fof(f734,plain,
( e10 = e13
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(forward_demodulation,[],[f401,f223]) ).
fof(f401,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2231,plain,
( spl44_130
| spl44_128
| spl44_126
| spl44_124
| spl44_122
| spl44_120
| spl44_118
| spl44_116
| spl44_114
| spl44_113
| spl44_111
| spl44_34
| spl44_110
| spl44_108
| spl44_106
| spl44_33 ),
inference(avatar_split_clause,[],[f596,f1013,f1359,f1368,f1377,f1018,f1382,f1391,f1396,f1405,f1414,f1423,f1432,f1441,f1450,f1459,f1468]) ).
fof(f1441,plain,
( spl44_124
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_124])]) ).
fof(f1391,plain,
( spl44_113
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_113])]) ).
fof(f1018,plain,
( spl44_34
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_34])]) ).
fof(f1377,plain,
( spl44_110
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_110])]) ).
fof(f1368,plain,
( spl44_108
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_108])]) ).
fof(f1359,plain,
( spl44_106
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_106])]) ).
fof(f1013,plain,
( spl44_33
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_33])]) ).
fof(f596,plain,
( sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28 ),
inference(cnf_transformation,[],[f67]) ).
fof(f2219,plain,
( ~ spl44_77
| ~ spl44_40
| ~ spl44_258 ),
inference(avatar_split_clause,[],[f2218,f2135,f1045,f1220]) ).
fof(f1220,plain,
( spl44_77
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_77])]) ).
fof(f2218,plain,
( ~ sP12
| ~ spl44_40
| ~ spl44_258 ),
inference(trivial_inequality_removal,[],[f2217]) ).
fof(f2217,plain,
( e23 != e23
| ~ sP12
| ~ spl44_40
| ~ spl44_258 ),
inference(forward_demodulation,[],[f2216,f2137]) ).
fof(f2216,plain,
( e23 != op2(e23,e20)
| ~ sP12
| ~ spl44_40 ),
inference(trivial_inequality_removal,[],[f2215]) ).
fof(f2215,plain,
( e20 != e20
| e23 != op2(e23,e20)
| ~ sP12
| ~ spl44_40 ),
inference(forward_demodulation,[],[f806,f1046]) ).
fof(f806,plain,
( e20 != h4(e10)
| e23 != op2(e23,e20)
| ~ sP12 ),
inference(forward_demodulation,[],[f497,f217]) ).
fof(f497,plain,
( e23 != op2(e23,e20)
| e20 != op2(e23,e23)
| ~ sP12 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e20,e20) )
| ~ sP12 ),
inference(nnf_transformation,[],[f34]) ).
fof(f2214,plain,
( ~ spl44_76
| ~ spl44_50 ),
inference(avatar_split_clause,[],[f787,f1090,f1215]) ).
fof(f1215,plain,
( spl44_76
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_76])]) ).
fof(f787,plain,
( e21 != h2(e10)
| ~ sP17 ),
inference(forward_demodulation,[],[f635,f213]) ).
fof(f635,plain,
( e21 != op2(e21,e21)
| ~ sP17 ),
inference(duplicate_literal_removal,[],[f470]) ).
fof(f470,plain,
( e21 != op2(e21,e21)
| e21 != op2(e21,e21)
| ~ sP17 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e21,e21) )
| ~ sP17 ),
inference(nnf_transformation,[],[f39]) ).
fof(f2207,plain,
( ~ spl44_75
| ~ spl44_42 ),
inference(avatar_split_clause,[],[f765,f1054,f1210]) ).
fof(f1210,plain,
( spl44_75
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_75])]) ).
fof(f765,plain,
( e22 != h3(e10)
| ~ sP22 ),
inference(forward_demodulation,[],[f640,f209]) ).
fof(f640,plain,
( e22 != op2(e22,e22)
| ~ sP22 ),
inference(duplicate_literal_removal,[],[f446]) ).
fof(f446,plain,
( e22 != op2(e22,e22)
| e22 != op2(e22,e22)
| ~ sP22 ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e22 = op2(e22,e22) )
| ~ sP22 ),
inference(nnf_transformation,[],[f44]) ).
fof(f2200,plain,
( ~ spl44_73
| spl44_3
| ~ spl44_40 ),
inference(avatar_split_clause,[],[f2199,f1045,f863,f1201]) ).
fof(f1201,plain,
( spl44_73
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_73])]) ).
fof(f2199,plain,
( e20 = e23
| ~ sP27
| ~ spl44_40 ),
inference(forward_demodulation,[],[f747,f1046]) ).
fof(f747,plain,
( e23 = h4(e10)
| ~ sP27 ),
inference(forward_demodulation,[],[f418,f217]) ).
fof(f418,plain,
( e23 = op2(e23,e23)
| ~ sP27 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e23 = op2(e23,e23) )
| ~ sP27 ),
inference(nnf_transformation,[],[f49]) ).
fof(f2198,plain,
( spl44_77
| spl44_104
| spl44_102
| spl44_100
| spl44_98
| spl44_76
| spl44_96
| spl44_94
| spl44_92
| spl44_90
| spl44_75
| spl44_88
| spl44_86
| spl44_84
| spl44_82
| spl44_73 ),
inference(avatar_split_clause,[],[f498,f1201,f1251,f1260,f1269,f1278,f1210,f1287,f1296,f1305,f1314,f1215,f1323,f1332,f1341,f1350,f1220]) ).
fof(f1278,plain,
( spl44_88
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_88])]) ).
fof(f1269,plain,
( spl44_86
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_86])]) ).
fof(f1260,plain,
( spl44_84
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_84])]) ).
fof(f1251,plain,
( spl44_82
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_82])]) ).
fof(f498,plain,
( sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f50]) ).
fof(f2193,plain,
( ~ spl44_60
| spl44_269 ),
inference(avatar_split_clause,[],[f610,f2190,f1136]) ).
fof(f610,plain,
( e13 = op1(e13,e10)
| e10 != op1(e13,e13) ),
inference(cnf_transformation,[],[f67]) ).
fof(f2188,plain,
( ~ spl44_267
| spl44_268 ),
inference(avatar_split_clause,[],[f606,f2185,f2181]) ).
fof(f606,plain,
( e12 = op1(e12,e10)
| e10 != op1(e12,e12) ),
inference(cnf_transformation,[],[f67]) ).
fof(f2179,plain,
( ~ spl44_266
| spl44_70 ),
inference(avatar_split_clause,[],[f605,f1186,f2176]) ).
fof(f605,plain,
( e11 = op1(e11,e13)
| e13 != op1(e11,e11) ),
inference(cnf_transformation,[],[f67]) ).
fof(f2174,plain,
( ~ spl44_264
| spl44_265 ),
inference(avatar_split_clause,[],[f604,f2171,f2167]) ).
fof(f604,plain,
( e11 = op1(e11,e12)
| e12 != op1(e11,e11) ),
inference(cnf_transformation,[],[f67]) ).
fof(f2165,plain,
( ~ spl44_262
| spl44_263 ),
inference(avatar_split_clause,[],[f602,f2162,f2158]) ).
fof(f602,plain,
( e11 = op1(e11,e10)
| e10 != op1(e11,e11) ),
inference(cnf_transformation,[],[f67]) ).
fof(f2156,plain,
( ~ spl44_261
| spl44_71 ),
inference(avatar_split_clause,[],[f601,f1191,f2153]) ).
fof(f601,plain,
( e10 = op1(e10,e13)
| op1(e10,e10) != e13 ),
inference(cnf_transformation,[],[f67]) ).
fof(f2151,plain,
( ~ spl44_259
| spl44_260 ),
inference(avatar_split_clause,[],[f599,f2148,f2144]) ).
fof(f599,plain,
( e10 = op1(e10,e11)
| op1(e10,e10) != e11 ),
inference(cnf_transformation,[],[f67]) ).
fof(f2138,plain,
( ~ spl44_59
| spl44_258 ),
inference(avatar_split_clause,[],[f512,f2135,f1131]) ).
fof(f512,plain,
( e23 = op2(e23,e20)
| e20 != op2(e23,e23) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2132,plain,
( ~ spl44_256
| spl44_257 ),
inference(avatar_split_clause,[],[f509,f2129,f2125]) ).
fof(f2125,plain,
( spl44_256
<=> e21 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_256])]) ).
fof(f509,plain,
( e22 = op2(e22,e21)
| e21 != op2(e22,e22) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2122,plain,
( ~ spl44_254
| spl44_255 ),
inference(avatar_split_clause,[],[f508,f2119,f2115]) ).
fof(f508,plain,
( e22 = op2(e22,e20)
| e20 != op2(e22,e22) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2112,plain,
( ~ spl44_252
| spl44_253 ),
inference(avatar_split_clause,[],[f504,f2109,f2105]) ).
fof(f504,plain,
( e21 = op2(e21,e20)
| e20 != op2(e21,e21) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2103,plain,
( spl44_251
| ~ spl44_134
| ~ spl44_245 ),
inference(avatar_split_clause,[],[f2074,f2070,f1489,f2100]) ).
fof(f2074,plain,
( e21 = op2(e22,e23)
| ~ spl44_134
| ~ spl44_245 ),
inference(superposition,[],[f1491,f2072]) ).
fof(f2098,plain,
( spl44_154
| ~ spl44_250 ),
inference(avatar_split_clause,[],[f816,f2095,f1596]) ).
fof(f1596,plain,
( spl44_154
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_154])]) ).
fof(f2095,plain,
( spl44_250
<=> e23 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_250])]) ).
fof(f816,plain,
( e23 != h1(e10)
| e20 = op2(e20,e23) ),
inference(forward_demodulation,[],[f503,f205]) ).
fof(f503,plain,
( e20 = op2(e20,e23)
| op2(e20,e20) != e23 ),
inference(cnf_transformation,[],[f50]) ).
fof(f2093,plain,
( spl44_248
| ~ spl44_249 ),
inference(avatar_split_clause,[],[f814,f2090,f2086]) ).
fof(f2090,plain,
( spl44_249
<=> e23 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_249])]) ).
fof(f814,plain,
( e23 != h2(e10)
| e21 = op2(e21,e23) ),
inference(forward_demodulation,[],[f507,f213]) ).
fof(f507,plain,
( e21 = op2(e21,e23)
| e23 != op2(e21,e21) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2084,plain,
( spl44_218
| ~ spl44_247 ),
inference(avatar_split_clause,[],[f813,f2081,f1927]) ).
fof(f1927,plain,
( spl44_218
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_218])]) ).
fof(f813,plain,
( e23 != h3(e10)
| e22 = op2(e22,e23) ),
inference(forward_demodulation,[],[f511,f209]) ).
fof(f511,plain,
( e22 = op2(e22,e23)
| e23 != op2(e22,e22) ),
inference(cnf_transformation,[],[f50]) ).
fof(f2079,plain,
( ~ spl44_246
| spl44_26 ),
inference(avatar_split_clause,[],[f850,f978,f2076]) ).
fof(f850,plain,
( e11 = e12
| e13 != op1(e12,e12) ),
inference(forward_demodulation,[],[f609,f668]) ).
fof(f609,plain,
( e12 = op1(e12,e13)
| e13 != op1(e12,e12) ),
inference(cnf_transformation,[],[f67]) ).
fof(f2073,plain,
( spl44_245
| ~ spl44_59
| ~ spl44_133
| ~ spl44_244 ),
inference(avatar_split_clause,[],[f2068,f2063,f1483,f1131,f2070]) ).
fof(f2063,plain,
( spl44_244
<=> op2(op2(e23,e23),e23) = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_244])]) ).
fof(f2068,plain,
( e22 = h4(e12)
| ~ spl44_59
| ~ spl44_133
| ~ spl44_244 ),
inference(forward_demodulation,[],[f2067,f1485]) ).
fof(f2067,plain,
( op2(e20,e23) = h4(e12)
| ~ spl44_59
| ~ spl44_244 ),
inference(forward_demodulation,[],[f2065,f1133]) ).
fof(f2065,plain,
( op2(op2(e23,e23),e23) = h4(e12)
| ~ spl44_244 ),
inference(avatar_component_clause,[],[f2063]) ).
fof(f2066,plain,
spl44_244,
inference(avatar_split_clause,[],[f219,f2063]) ).
fof(f219,plain,
op2(op2(e23,e23),e23) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f2061,plain,
( spl44_243
| ~ spl44_80
| ~ spl44_242 ),
inference(avatar_split_clause,[],[f2056,f2052,f1236,f2058]) ).
fof(f2052,plain,
( spl44_242
<=> op2(op2(e21,e21),e21) = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_242])]) ).
fof(f2056,plain,
( h2(e12) = op2(h2(e10),e21)
| ~ spl44_80
| ~ spl44_242 ),
inference(forward_demodulation,[],[f2054,f1238]) ).
fof(f2054,plain,
( op2(op2(e21,e21),e21) = h2(e12)
| ~ spl44_242 ),
inference(avatar_component_clause,[],[f2052]) ).
fof(f2055,plain,
spl44_242,
inference(avatar_split_clause,[],[f215,f2052]) ).
fof(f215,plain,
op2(op2(e21,e21),e21) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f2050,plain,
( spl44_241
| ~ spl44_79
| ~ spl44_240 ),
inference(avatar_split_clause,[],[f2045,f2041,f1231,f2047]) ).
fof(f2041,plain,
( spl44_240
<=> op2(op2(e22,e22),e22) = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_240])]) ).
fof(f2045,plain,
( h3(e12) = op2(h3(e10),e22)
| ~ spl44_79
| ~ spl44_240 ),
inference(forward_demodulation,[],[f2043,f1233]) ).
fof(f2043,plain,
( op2(op2(e22,e22),e22) = h3(e12)
| ~ spl44_240 ),
inference(avatar_component_clause,[],[f2041]) ).
fof(f2044,plain,
spl44_240,
inference(avatar_split_clause,[],[f211,f2041]) ).
fof(f211,plain,
op2(op2(e22,e22),e22) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f2039,plain,
( spl44_239
| ~ spl44_78
| ~ spl44_238 ),
inference(avatar_split_clause,[],[f2034,f2030,f1226,f2036]) ).
fof(f2030,plain,
( spl44_238
<=> op2(op2(e20,e20),e20) = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_238])]) ).
fof(f2034,plain,
( h1(e12) = op2(h1(e10),e20)
| ~ spl44_78
| ~ spl44_238 ),
inference(forward_demodulation,[],[f2032,f1228]) ).
fof(f2032,plain,
( op2(op2(e20,e20),e20) = h1(e12)
| ~ spl44_238 ),
inference(avatar_component_clause,[],[f2030]) ).
fof(f2033,plain,
spl44_238,
inference(avatar_split_clause,[],[f207,f2030]) ).
fof(f207,plain,
op2(op2(e20,e20),e20) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f2028,plain,
( spl44_237
| ~ spl44_134
| ~ spl44_236 ),
inference(avatar_split_clause,[],[f2023,f2019,f1489,f2025]) ).
fof(f2019,plain,
( spl44_236
<=> h4(e11) = op2(h4(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_236])]) ).
fof(f2023,plain,
( e21 = h4(e11)
| ~ spl44_134
| ~ spl44_236 ),
inference(forward_demodulation,[],[f2021,f1491]) ).
fof(f2021,plain,
( h4(e11) = op2(h4(e12),e23)
| ~ spl44_236 ),
inference(avatar_component_clause,[],[f2019]) ).
fof(f2022,plain,
spl44_236,
inference(avatar_split_clause,[],[f665,f2019]) ).
fof(f665,plain,
h4(e11) = op2(h4(e12),e23),
inference(forward_demodulation,[],[f218,f219]) ).
fof(f218,plain,
op2(op2(op2(e23,e23),e23),e23) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f2017,plain,
spl44_235,
inference(avatar_split_clause,[],[f664,f2014]) ).
fof(f664,plain,
h2(e11) = op2(h2(e12),e21),
inference(forward_demodulation,[],[f214,f215]) ).
fof(f214,plain,
h2(e11) = op2(op2(op2(e21,e21),e21),e21),
inference(cnf_transformation,[],[f15]) ).
fof(f2012,plain,
spl44_234,
inference(avatar_split_clause,[],[f663,f2009]) ).
fof(f663,plain,
h3(e11) = op2(h3(e12),e22),
inference(forward_demodulation,[],[f210,f211]) ).
fof(f210,plain,
h3(e11) = op2(op2(op2(e22,e22),e22),e22),
inference(cnf_transformation,[],[f16]) ).
fof(f2007,plain,
spl44_233,
inference(avatar_split_clause,[],[f662,f2004]) ).
fof(f662,plain,
h1(e11) = op2(h1(e12),e20),
inference(forward_demodulation,[],[f206,f207]) ).
fof(f206,plain,
h1(e11) = op2(op2(op2(e20,e20),e20),e20),
inference(cnf_transformation,[],[f14]) ).
fof(f2002,plain,
~ spl44_232,
inference(avatar_split_clause,[],[f319,f1999]) ).
fof(f1999,plain,
( spl44_232
<=> op2(e23,e21) = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_232])]) ).
fof(f319,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f1997,plain,
~ spl44_231,
inference(avatar_split_clause,[],[f317,f1994]) ).
fof(f1994,plain,
( spl44_231
<=> op2(e23,e20) = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_231])]) ).
fof(f317,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1992,plain,
~ spl44_230,
inference(avatar_split_clause,[],[f316,f1989]) ).
fof(f1989,plain,
( spl44_230
<=> op2(e23,e20) = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_230])]) ).
fof(f316,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1987,plain,
~ spl44_229,
inference(avatar_split_clause,[],[f314,f1984]) ).
fof(f1984,plain,
( spl44_229
<=> op2(e22,e21) = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_229])]) ).
fof(f314,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1982,plain,
~ spl44_228,
inference(avatar_split_clause,[],[f312,f1979]) ).
fof(f1979,plain,
( spl44_228
<=> op2(e22,e20) = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_228])]) ).
fof(f312,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1977,plain,
~ spl44_227,
inference(avatar_split_clause,[],[f310,f1974]) ).
fof(f1974,plain,
( spl44_227
<=> op2(e22,e20) = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_227])]) ).
fof(f310,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1972,plain,
~ spl44_226,
inference(avatar_split_clause,[],[f309,f1969]) ).
fof(f1969,plain,
( spl44_226
<=> op2(e21,e22) = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_226])]) ).
fof(f309,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1967,plain,
~ spl44_225,
inference(avatar_split_clause,[],[f306,f1964]) ).
fof(f1964,plain,
( spl44_225
<=> op2(e21,e20) = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_225])]) ).
fof(f306,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1962,plain,
~ spl44_224,
inference(avatar_split_clause,[],[f305,f1959]) ).
fof(f1959,plain,
( spl44_224
<=> op2(e21,e20) = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_224])]) ).
fof(f305,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1956,plain,
~ spl44_223,
inference(avatar_split_clause,[],[f303,f1953]) ).
fof(f303,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1951,plain,
( ~ spl44_222
| ~ spl44_133
| spl44_221 ),
inference(avatar_split_clause,[],[f1946,f1942,f1483,f1948]) ).
fof(f1942,plain,
( spl44_221
<=> op2(e20,e21) = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_221])]) ).
fof(f1946,plain,
( e22 != op2(e20,e21)
| ~ spl44_133
| spl44_221 ),
inference(forward_demodulation,[],[f1944,f1485]) ).
fof(f1944,plain,
( op2(e20,e21) != op2(e20,e23)
| spl44_221 ),
inference(avatar_component_clause,[],[f1942]) ).
fof(f1945,plain,
~ spl44_221,
inference(avatar_split_clause,[],[f302,f1942]) ).
fof(f302,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1940,plain,
~ spl44_220,
inference(avatar_split_clause,[],[f301,f1937]) ).
fof(f1937,plain,
( spl44_220
<=> op2(e20,e21) = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_220])]) ).
fof(f301,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1935,plain,
~ spl44_219,
inference(avatar_split_clause,[],[f295,f1932]) ).
fof(f1932,plain,
( spl44_219
<=> op2(e21,e23) = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_219])]) ).
fof(f295,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1930,plain,
( ~ spl44_218
| ~ spl44_133
| spl44_217 ),
inference(avatar_split_clause,[],[f1925,f1921,f1483,f1927]) ).
fof(f1921,plain,
( spl44_217
<=> op2(e20,e23) = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_217])]) ).
fof(f1925,plain,
( e22 != op2(e22,e23)
| ~ spl44_133
| spl44_217 ),
inference(forward_demodulation,[],[f1923,f1485]) ).
fof(f1923,plain,
( op2(e20,e23) != op2(e22,e23)
| spl44_217 ),
inference(avatar_component_clause,[],[f1921]) ).
fof(f1924,plain,
~ spl44_217,
inference(avatar_split_clause,[],[f293,f1921]) ).
fof(f293,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1919,plain,
( ~ spl44_216
| ~ spl44_133
| spl44_215 ),
inference(avatar_split_clause,[],[f1914,f1910,f1483,f1916]) ).
fof(f1910,plain,
( spl44_215
<=> op2(e20,e23) = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_215])]) ).
fof(f1914,plain,
( e22 != op2(e21,e23)
| ~ spl44_133
| spl44_215 ),
inference(forward_demodulation,[],[f1912,f1485]) ).
fof(f1912,plain,
( op2(e20,e23) != op2(e21,e23)
| spl44_215 ),
inference(avatar_component_clause,[],[f1910]) ).
fof(f1913,plain,
~ spl44_215,
inference(avatar_split_clause,[],[f292,f1910]) ).
fof(f292,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1908,plain,
~ spl44_214,
inference(avatar_split_clause,[],[f290,f1905]) ).
fof(f1905,plain,
( spl44_214
<=> op2(e21,e22) = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_214])]) ).
fof(f290,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1903,plain,
~ spl44_213,
inference(avatar_split_clause,[],[f288,f1900]) ).
fof(f1900,plain,
( spl44_213
<=> op2(e20,e22) = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_213])]) ).
fof(f288,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1898,plain,
~ spl44_212,
inference(avatar_split_clause,[],[f286,f1895]) ).
fof(f1895,plain,
( spl44_212
<=> op2(e20,e22) = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_212])]) ).
fof(f286,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1893,plain,
~ spl44_211,
inference(avatar_split_clause,[],[f285,f1890]) ).
fof(f1890,plain,
( spl44_211
<=> op2(e22,e21) = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_211])]) ).
fof(f285,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1888,plain,
~ spl44_210,
inference(avatar_split_clause,[],[f282,f1885]) ).
fof(f1885,plain,
( spl44_210
<=> op2(e20,e21) = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_210])]) ).
fof(f282,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1883,plain,
~ spl44_209,
inference(avatar_split_clause,[],[f281,f1880]) ).
fof(f1880,plain,
( spl44_209
<=> op2(e20,e21) = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_209])]) ).
fof(f281,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1878,plain,
~ spl44_208,
inference(avatar_split_clause,[],[f279,f1875]) ).
fof(f1875,plain,
( spl44_208
<=> op2(e22,e20) = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_208])]) ).
fof(f279,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f1873,plain,
~ spl44_207,
inference(avatar_split_clause,[],[f278,f1870]) ).
fof(f1870,plain,
( spl44_207
<=> op2(e21,e20) = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_207])]) ).
fof(f278,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f1868,plain,
~ spl44_206,
inference(avatar_split_clause,[],[f277,f1865]) ).
fof(f1865,plain,
( spl44_206
<=> op2(e21,e20) = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_206])]) ).
fof(f277,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f1863,plain,
~ spl44_205,
inference(avatar_split_clause,[],[f271,f1860]) ).
fof(f1860,plain,
( spl44_205
<=> op1(e13,e11) = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_205])]) ).
fof(f271,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f1858,plain,
~ spl44_204,
inference(avatar_split_clause,[],[f269,f1855]) ).
fof(f1855,plain,
( spl44_204
<=> op1(e13,e10) = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_204])]) ).
fof(f269,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1853,plain,
~ spl44_203,
inference(avatar_split_clause,[],[f268,f1850]) ).
fof(f1850,plain,
( spl44_203
<=> op1(e13,e10) = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_203])]) ).
fof(f268,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1848,plain,
~ spl44_202,
inference(avatar_split_clause,[],[f265,f1845]) ).
fof(f1845,plain,
( spl44_202
<=> op1(e12,e11) = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_202])]) ).
fof(f265,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1843,plain,
~ spl44_201,
inference(avatar_split_clause,[],[f263,f1840]) ).
fof(f1840,plain,
( spl44_201
<=> op1(e12,e10) = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_201])]) ).
fof(f263,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1838,plain,
~ spl44_200,
inference(avatar_split_clause,[],[f262,f1835]) ).
fof(f1835,plain,
( spl44_200
<=> op1(e12,e10) = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_200])]) ).
fof(f262,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1833,plain,
~ spl44_199,
inference(avatar_split_clause,[],[f261,f1830]) ).
fof(f1830,plain,
( spl44_199
<=> op1(e11,e12) = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_199])]) ).
fof(f261,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1828,plain,
~ spl44_198,
inference(avatar_split_clause,[],[f260,f1825]) ).
fof(f1825,plain,
( spl44_198
<=> op1(e11,e11) = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_198])]) ).
fof(f260,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1823,plain,
~ spl44_197,
inference(avatar_split_clause,[],[f259,f1820]) ).
fof(f1820,plain,
( spl44_197
<=> op1(e11,e11) = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_197])]) ).
fof(f259,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1818,plain,
~ spl44_196,
inference(avatar_split_clause,[],[f258,f1815]) ).
fof(f1815,plain,
( spl44_196
<=> op1(e11,e10) = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_196])]) ).
fof(f258,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1813,plain,
~ spl44_195,
inference(avatar_split_clause,[],[f257,f1810]) ).
fof(f1810,plain,
( spl44_195
<=> op1(e11,e10) = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_195])]) ).
fof(f257,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1808,plain,
~ spl44_194,
inference(avatar_split_clause,[],[f256,f1805]) ).
fof(f1805,plain,
( spl44_194
<=> op1(e11,e10) = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_194])]) ).
fof(f256,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1802,plain,
~ spl44_193,
inference(avatar_split_clause,[],[f255,f1799]) ).
fof(f255,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1797,plain,
( ~ spl44_192
| ~ spl44_165
| spl44_191 ),
inference(avatar_split_clause,[],[f1792,f1788,f1653,f1794]) ).
fof(f1794,plain,
( spl44_192
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_192])]) ).
fof(f1788,plain,
( spl44_191
<=> op1(e10,e11) = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_191])]) ).
fof(f1792,plain,
( e12 != op1(e10,e11)
| ~ spl44_165
| spl44_191 ),
inference(forward_demodulation,[],[f1790,f1655]) ).
fof(f1790,plain,
( op1(e10,e11) != op1(e10,e13)
| spl44_191 ),
inference(avatar_component_clause,[],[f1788]) ).
fof(f1791,plain,
~ spl44_191,
inference(avatar_split_clause,[],[f254,f1788]) ).
fof(f254,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1786,plain,
~ spl44_190,
inference(avatar_split_clause,[],[f253,f1783]) ).
fof(f1783,plain,
( spl44_190
<=> op1(e10,e11) = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_190])]) ).
fof(f253,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1781,plain,
( ~ spl44_189
| ~ spl44_165
| spl44_188 ),
inference(avatar_split_clause,[],[f1776,f1772,f1653,f1778]) ).
fof(f1772,plain,
( spl44_188
<=> op1(e10,e10) = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_188])]) ).
fof(f1776,plain,
( op1(e10,e10) != e12
| ~ spl44_165
| spl44_188 ),
inference(forward_demodulation,[],[f1774,f1655]) ).
fof(f1774,plain,
( op1(e10,e10) != op1(e10,e13)
| spl44_188 ),
inference(avatar_component_clause,[],[f1772]) ).
fof(f1775,plain,
~ spl44_188,
inference(avatar_split_clause,[],[f252,f1772]) ).
fof(f252,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1770,plain,
~ spl44_187,
inference(avatar_split_clause,[],[f251,f1767]) ).
fof(f1767,plain,
( spl44_187
<=> op1(e10,e10) = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_187])]) ).
fof(f251,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1765,plain,
~ spl44_186,
inference(avatar_split_clause,[],[f250,f1762]) ).
fof(f1762,plain,
( spl44_186
<=> op1(e10,e10) = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_186])]) ).
fof(f250,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1760,plain,
( ~ spl44_185
| ~ spl44_165
| spl44_184 ),
inference(avatar_split_clause,[],[f1755,f1751,f1653,f1757]) ).
fof(f1751,plain,
( spl44_184
<=> op1(e10,e13) = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_184])]) ).
fof(f1755,plain,
( e12 != op1(e11,e13)
| ~ spl44_165
| spl44_184 ),
inference(forward_demodulation,[],[f1753,f1655]) ).
fof(f1753,plain,
( op1(e10,e13) != op1(e11,e13)
| spl44_184 ),
inference(avatar_component_clause,[],[f1751]) ).
fof(f1754,plain,
~ spl44_184,
inference(avatar_split_clause,[],[f244,f1751]) ).
fof(f244,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1749,plain,
~ spl44_183,
inference(avatar_split_clause,[],[f243,f1746]) ).
fof(f1746,plain,
( spl44_183
<=> op1(e12,e12) = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_183])]) ).
fof(f243,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1744,plain,
~ spl44_182,
inference(avatar_split_clause,[],[f242,f1741]) ).
fof(f1741,plain,
( spl44_182
<=> op1(e11,e12) = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_182])]) ).
fof(f242,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1739,plain,
~ spl44_181,
inference(avatar_split_clause,[],[f241,f1736]) ).
fof(f1736,plain,
( spl44_181
<=> op1(e11,e12) = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_181])]) ).
fof(f241,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1734,plain,
~ spl44_180,
inference(avatar_split_clause,[],[f240,f1731]) ).
fof(f1731,plain,
( spl44_180
<=> op1(e10,e12) = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_180])]) ).
fof(f240,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1729,plain,
~ spl44_179,
inference(avatar_split_clause,[],[f239,f1726]) ).
fof(f1726,plain,
( spl44_179
<=> op1(e10,e12) = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_179])]) ).
fof(f239,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1724,plain,
~ spl44_178,
inference(avatar_split_clause,[],[f238,f1721]) ).
fof(f1721,plain,
( spl44_178
<=> op1(e10,e12) = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_178])]) ).
fof(f238,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1719,plain,
~ spl44_177,
inference(avatar_split_clause,[],[f237,f1716]) ).
fof(f1716,plain,
( spl44_177
<=> op1(e12,e11) = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_177])]) ).
fof(f237,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1714,plain,
~ spl44_176,
inference(avatar_split_clause,[],[f236,f1711]) ).
fof(f1711,plain,
( spl44_176
<=> op1(e11,e11) = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_176])]) ).
fof(f236,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1709,plain,
~ spl44_175,
inference(avatar_split_clause,[],[f235,f1706]) ).
fof(f1706,plain,
( spl44_175
<=> op1(e11,e11) = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_175])]) ).
fof(f235,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1704,plain,
~ spl44_174,
inference(avatar_split_clause,[],[f234,f1701]) ).
fof(f1701,plain,
( spl44_174
<=> op1(e10,e11) = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_174])]) ).
fof(f234,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1699,plain,
~ spl44_173,
inference(avatar_split_clause,[],[f233,f1696]) ).
fof(f1696,plain,
( spl44_173
<=> op1(e10,e11) = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_173])]) ).
fof(f233,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1694,plain,
~ spl44_172,
inference(avatar_split_clause,[],[f232,f1691]) ).
fof(f1691,plain,
( spl44_172
<=> op1(e10,e11) = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_172])]) ).
fof(f232,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1689,plain,
~ spl44_171,
inference(avatar_split_clause,[],[f231,f1686]) ).
fof(f1686,plain,
( spl44_171
<=> op1(e12,e10) = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_171])]) ).
fof(f231,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f1684,plain,
~ spl44_170,
inference(avatar_split_clause,[],[f230,f1681]) ).
fof(f1681,plain,
( spl44_170
<=> op1(e11,e10) = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_170])]) ).
fof(f230,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f1679,plain,
~ spl44_169,
inference(avatar_split_clause,[],[f229,f1676]) ).
fof(f1676,plain,
( spl44_169
<=> op1(e11,e10) = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_169])]) ).
fof(f229,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f1674,plain,
~ spl44_168,
inference(avatar_split_clause,[],[f228,f1671]) ).
fof(f1671,plain,
( spl44_168
<=> op1(e10,e10) = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_168])]) ).
fof(f228,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f1669,plain,
~ spl44_167,
inference(avatar_split_clause,[],[f227,f1666]) ).
fof(f1666,plain,
( spl44_167
<=> op1(e10,e10) = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_167])]) ).
fof(f227,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f1664,plain,
~ spl44_166,
inference(avatar_split_clause,[],[f226,f1661]) ).
fof(f1661,plain,
( spl44_166
<=> op1(e10,e10) = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_166])]) ).
fof(f226,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f1656,plain,
( spl44_165
| ~ spl44_60
| ~ spl44_164 ),
inference(avatar_split_clause,[],[f1651,f1647,f1136,f1653]) ).
fof(f1647,plain,
( spl44_164
<=> e12 = op1(op1(e13,e13),e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_164])]) ).
fof(f1651,plain,
( e12 = op1(e10,e13)
| ~ spl44_60
| ~ spl44_164 ),
inference(forward_demodulation,[],[f1649,f1138]) ).
fof(f1649,plain,
( e12 = op1(op1(e13,e13),e13)
| ~ spl44_164 ),
inference(avatar_component_clause,[],[f1647]) ).
fof(f1650,plain,
spl44_164,
inference(avatar_split_clause,[],[f225,f1647]) ).
fof(f1645,plain,
~ spl44_163,
inference(avatar_split_clause,[],[f703,f1642]) ).
fof(f1642,plain,
( spl44_163
<=> op2(e21,e20) = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_163])]) ).
fof(f703,plain,
op2(e21,e20) != h1(e10),
inference(forward_demodulation,[],[f274,f205]) ).
fof(f274,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f1640,plain,
~ spl44_162,
inference(avatar_split_clause,[],[f702,f1637]) ).
fof(f1637,plain,
( spl44_162
<=> op2(e22,e20) = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_162])]) ).
fof(f702,plain,
op2(e22,e20) != h1(e10),
inference(forward_demodulation,[],[f275,f205]) ).
fof(f275,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f1635,plain,
~ spl44_161,
inference(avatar_split_clause,[],[f701,f1632]) ).
fof(f1632,plain,
( spl44_161
<=> op2(e23,e20) = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_161])]) ).
fof(f701,plain,
op2(e23,e20) != h1(e10),
inference(forward_demodulation,[],[f276,f205]) ).
fof(f276,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f1630,plain,
~ spl44_160,
inference(avatar_split_clause,[],[f700,f1627]) ).
fof(f700,plain,
op2(e20,e21) != h2(e10),
inference(forward_demodulation,[],[f280,f213]) ).
fof(f280,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1625,plain,
~ spl44_159,
inference(avatar_split_clause,[],[f699,f1622]) ).
fof(f1622,plain,
( spl44_159
<=> op2(e22,e21) = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_159])]) ).
fof(f699,plain,
op2(e22,e21) != h2(e10),
inference(forward_demodulation,[],[f283,f213]) ).
fof(f283,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1620,plain,
~ spl44_158,
inference(avatar_split_clause,[],[f698,f1617]) ).
fof(f1617,plain,
( spl44_158
<=> op2(e23,e21) = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_158])]) ).
fof(f698,plain,
op2(e23,e21) != h2(e10),
inference(forward_demodulation,[],[f284,f213]) ).
fof(f284,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1615,plain,
~ spl44_157,
inference(avatar_split_clause,[],[f697,f1612]) ).
fof(f1612,plain,
( spl44_157
<=> op2(e20,e22) = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_157])]) ).
fof(f697,plain,
op2(e20,e22) != h3(e10),
inference(forward_demodulation,[],[f287,f209]) ).
fof(f287,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1610,plain,
~ spl44_156,
inference(avatar_split_clause,[],[f696,f1607]) ).
fof(f1607,plain,
( spl44_156
<=> op2(e21,e22) = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_156])]) ).
fof(f696,plain,
op2(e21,e22) != h3(e10),
inference(forward_demodulation,[],[f289,f209]) ).
fof(f289,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1605,plain,
~ spl44_155,
inference(avatar_split_clause,[],[f695,f1602]) ).
fof(f695,plain,
op2(e23,e22) != h3(e10),
inference(forward_demodulation,[],[f291,f209]) ).
fof(f291,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1599,plain,
( ~ spl44_154
| ~ spl44_40
| spl44_153 ),
inference(avatar_split_clause,[],[f1594,f1590,f1045,f1596]) ).
fof(f1590,plain,
( spl44_153
<=> op2(e20,e23) = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_153])]) ).
fof(f1594,plain,
( e20 != op2(e20,e23)
| ~ spl44_40
| spl44_153 ),
inference(forward_demodulation,[],[f1592,f1046]) ).
fof(f1592,plain,
( op2(e20,e23) != h4(e10)
| spl44_153 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f1593,plain,
~ spl44_153,
inference(avatar_split_clause,[],[f694,f1590]) ).
fof(f694,plain,
op2(e20,e23) != h4(e10),
inference(forward_demodulation,[],[f294,f217]) ).
fof(f294,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1588,plain,
( ~ spl44_152
| ~ spl44_40
| spl44_151 ),
inference(avatar_split_clause,[],[f1583,f1579,f1045,f1585]) ).
fof(f1579,plain,
( spl44_151
<=> op2(e21,e23) = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_151])]) ).
fof(f1583,plain,
( e20 != op2(e21,e23)
| ~ spl44_40
| spl44_151 ),
inference(forward_demodulation,[],[f1581,f1046]) ).
fof(f1581,plain,
( op2(e21,e23) != h4(e10)
| spl44_151 ),
inference(avatar_component_clause,[],[f1579]) ).
fof(f1582,plain,
~ spl44_151,
inference(avatar_split_clause,[],[f693,f1579]) ).
fof(f693,plain,
op2(e21,e23) != h4(e10),
inference(forward_demodulation,[],[f296,f217]) ).
fof(f296,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1577,plain,
( ~ spl44_150
| ~ spl44_40
| spl44_149 ),
inference(avatar_split_clause,[],[f1572,f1568,f1045,f1574]) ).
fof(f1568,plain,
( spl44_149
<=> op2(e22,e23) = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_149])]) ).
fof(f1572,plain,
( e20 != op2(e22,e23)
| ~ spl44_40
| spl44_149 ),
inference(forward_demodulation,[],[f1570,f1046]) ).
fof(f1570,plain,
( op2(e22,e23) != h4(e10)
| spl44_149 ),
inference(avatar_component_clause,[],[f1568]) ).
fof(f1571,plain,
~ spl44_149,
inference(avatar_split_clause,[],[f692,f1568]) ).
fof(f692,plain,
op2(e22,e23) != h4(e10),
inference(forward_demodulation,[],[f297,f217]) ).
fof(f297,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1566,plain,
~ spl44_148,
inference(avatar_split_clause,[],[f691,f1563]) ).
fof(f1563,plain,
( spl44_148
<=> op2(e20,e21) = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_148])]) ).
fof(f691,plain,
op2(e20,e21) != h1(e10),
inference(forward_demodulation,[],[f298,f205]) ).
fof(f298,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1561,plain,
~ spl44_147,
inference(avatar_split_clause,[],[f690,f1558]) ).
fof(f1558,plain,
( spl44_147
<=> op2(e20,e22) = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_147])]) ).
fof(f690,plain,
op2(e20,e22) != h1(e10),
inference(forward_demodulation,[],[f299,f205]) ).
fof(f299,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1555,plain,
~ spl44_146,
inference(avatar_split_clause,[],[f689,f1552]) ).
fof(f689,plain,
op2(e20,e23) != h1(e10),
inference(forward_demodulation,[],[f300,f205]) ).
fof(f300,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1550,plain,
~ spl44_145,
inference(avatar_split_clause,[],[f688,f1547]) ).
fof(f1547,plain,
( spl44_145
<=> op2(e21,e20) = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_145])]) ).
fof(f688,plain,
op2(e21,e20) != h2(e10),
inference(forward_demodulation,[],[f304,f213]) ).
fof(f304,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1545,plain,
~ spl44_144,
inference(avatar_split_clause,[],[f687,f1542]) ).
fof(f1542,plain,
( spl44_144
<=> op2(e21,e22) = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_144])]) ).
fof(f687,plain,
op2(e21,e22) != h2(e10),
inference(forward_demodulation,[],[f307,f213]) ).
fof(f307,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1540,plain,
~ spl44_143,
inference(avatar_split_clause,[],[f686,f1537]) ).
fof(f1537,plain,
( spl44_143
<=> op2(e21,e23) = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_143])]) ).
fof(f686,plain,
op2(e21,e23) != h2(e10),
inference(forward_demodulation,[],[f308,f213]) ).
fof(f308,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1535,plain,
~ spl44_142,
inference(avatar_split_clause,[],[f685,f1532]) ).
fof(f1532,plain,
( spl44_142
<=> op2(e22,e20) = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_142])]) ).
fof(f685,plain,
op2(e22,e20) != h3(e10),
inference(forward_demodulation,[],[f311,f209]) ).
fof(f311,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1530,plain,
~ spl44_141,
inference(avatar_split_clause,[],[f684,f1527]) ).
fof(f1527,plain,
( spl44_141
<=> op2(e22,e21) = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_141])]) ).
fof(f684,plain,
op2(e22,e21) != h3(e10),
inference(forward_demodulation,[],[f313,f209]) ).
fof(f313,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1525,plain,
~ spl44_140,
inference(avatar_split_clause,[],[f683,f1522]) ).
fof(f1522,plain,
( spl44_140
<=> op2(e22,e23) = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_140])]) ).
fof(f683,plain,
op2(e22,e23) != h3(e10),
inference(forward_demodulation,[],[f315,f209]) ).
fof(f315,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1519,plain,
~ spl44_139,
inference(avatar_split_clause,[],[f682,f1516]) ).
fof(f682,plain,
op2(e23,e20) != h4(e10),
inference(forward_demodulation,[],[f318,f217]) ).
fof(f318,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1514,plain,
( ~ spl44_138
| ~ spl44_40
| spl44_137 ),
inference(avatar_split_clause,[],[f1509,f1505,f1045,f1511]) ).
fof(f1505,plain,
( spl44_137
<=> op2(e23,e21) = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_137])]) ).
fof(f1509,plain,
( e20 != op2(e23,e21)
| ~ spl44_40
| spl44_137 ),
inference(forward_demodulation,[],[f1507,f1046]) ).
fof(f1507,plain,
( op2(e23,e21) != h4(e10)
| spl44_137 ),
inference(avatar_component_clause,[],[f1505]) ).
fof(f1508,plain,
~ spl44_137,
inference(avatar_split_clause,[],[f681,f1505]) ).
fof(f681,plain,
op2(e23,e21) != h4(e10),
inference(forward_demodulation,[],[f320,f217]) ).
fof(f320,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1503,plain,
( ~ spl44_136
| ~ spl44_40
| spl44_135 ),
inference(avatar_split_clause,[],[f1498,f1494,f1045,f1500]) ).
fof(f1494,plain,
( spl44_135
<=> op2(e23,e22) = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_135])]) ).
fof(f1498,plain,
( e20 != op2(e23,e22)
| ~ spl44_40
| spl44_135 ),
inference(forward_demodulation,[],[f1496,f1046]) ).
fof(f1496,plain,
( op2(e23,e22) != h4(e10)
| spl44_135 ),
inference(avatar_component_clause,[],[f1494]) ).
fof(f1497,plain,
~ spl44_135,
inference(avatar_split_clause,[],[f680,f1494]) ).
fof(f680,plain,
op2(e23,e22) != h4(e10),
inference(forward_demodulation,[],[f321,f217]) ).
fof(f321,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1492,plain,
spl44_134,
inference(avatar_split_clause,[],[f667,f1489]) ).
fof(f667,plain,
e21 = op2(h4(e12),e23),
inference(forward_demodulation,[],[f221,f219]) ).
fof(f221,plain,
e21 = op2(op2(op2(e23,e23),e23),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f1486,plain,
( spl44_133
| ~ spl44_40
| ~ spl44_132 ),
inference(avatar_split_clause,[],[f1481,f1477,f1045,f1483]) ).
fof(f1477,plain,
( spl44_132
<=> e22 = op2(h4(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_132])]) ).
fof(f1481,plain,
( e22 = op2(e20,e23)
| ~ spl44_40
| ~ spl44_132 ),
inference(forward_demodulation,[],[f1479,f1046]) ).
fof(f1479,plain,
( e22 = op2(h4(e10),e23)
| ~ spl44_132 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f1480,plain,
spl44_132,
inference(avatar_split_clause,[],[f666,f1477]) ).
fof(f666,plain,
e22 = op2(h4(e10),e23),
inference(forward_demodulation,[],[f222,f217]) ).
fof(f222,plain,
e22 = op2(op2(e23,e23),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f1475,plain,
( ~ spl44_130
| spl44_131 ),
inference(avatar_split_clause,[],[f591,f1472,f1468]) ).
fof(f591,plain,
( e10 = op1(e10,e10)
| ~ sP28 ),
inference(cnf_transformation,[],[f111]) ).
fof(f1466,plain,
( ~ spl44_128
| spl44_129 ),
inference(avatar_split_clause,[],[f586,f1463,f1459]) ).
fof(f586,plain,
( e11 = op1(e10,e11)
| ~ sP29 ),
inference(cnf_transformation,[],[f110]) ).
fof(f1457,plain,
( ~ spl44_126
| spl44_127 ),
inference(avatar_split_clause,[],[f581,f1454,f1450]) ).
fof(f581,plain,
( e12 = op1(e10,e12)
| ~ sP30 ),
inference(cnf_transformation,[],[f109]) ).
fof(f1448,plain,
( ~ spl44_124
| spl44_125 ),
inference(avatar_split_clause,[],[f576,f1445,f1441]) ).
fof(f576,plain,
( e13 = op1(e10,e13)
| ~ sP31 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e10,e13) )
| ~ sP31 ),
inference(nnf_transformation,[],[f54]) ).
fof(f1439,plain,
( ~ spl44_122
| spl44_123 ),
inference(avatar_split_clause,[],[f571,f1436,f1432]) ).
fof(f571,plain,
( e10 = op1(e11,e10)
| ~ sP32 ),
inference(cnf_transformation,[],[f107]) ).
fof(f1430,plain,
( ~ spl44_120
| spl44_121 ),
inference(avatar_split_clause,[],[f566,f1427,f1423]) ).
fof(f566,plain,
( e11 = op1(e11,e11)
| ~ sP33 ),
inference(cnf_transformation,[],[f106]) ).
fof(f1421,plain,
( ~ spl44_118
| spl44_119 ),
inference(avatar_split_clause,[],[f561,f1418,f1414]) ).
fof(f561,plain,
( e12 = op1(e11,e12)
| ~ sP34 ),
inference(cnf_transformation,[],[f105]) ).
fof(f1412,plain,
( ~ spl44_116
| spl44_117 ),
inference(avatar_split_clause,[],[f556,f1409,f1405]) ).
fof(f556,plain,
( e13 = op1(e11,e13)
| ~ sP35 ),
inference(cnf_transformation,[],[f104]) ).
fof(f1403,plain,
( ~ spl44_114
| spl44_115 ),
inference(avatar_split_clause,[],[f551,f1400,f1396]) ).
fof(f551,plain,
( e10 = op1(e12,e10)
| ~ sP36 ),
inference(cnf_transformation,[],[f103]) ).
fof(f1394,plain,
( ~ spl44_113
| spl44_66 ),
inference(avatar_split_clause,[],[f546,f1166,f1391]) ).
fof(f1166,plain,
( spl44_66
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_66])]) ).
fof(f546,plain,
( e11 = op1(e12,e11)
| ~ sP37 ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e11 = op1(e12,e11) )
| ~ sP37 ),
inference(nnf_transformation,[],[f60]) ).
fof(f1389,plain,
( ~ spl44_111
| spl44_112 ),
inference(avatar_split_clause,[],[f541,f1386,f1382]) ).
fof(f541,plain,
( e12 = op1(e12,e12)
| ~ sP38 ),
inference(cnf_transformation,[],[f101]) ).
fof(f1380,plain,
( ~ spl44_110
| spl44_64 ),
inference(avatar_split_clause,[],[f531,f1156,f1377]) ).
fof(f531,plain,
( e10 = op1(e13,e10)
| ~ sP40 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e10 = op1(e13,e10) )
| ~ sP40 ),
inference(nnf_transformation,[],[f63]) ).
fof(f1375,plain,
( ~ spl44_108
| spl44_109 ),
inference(avatar_split_clause,[],[f526,f1372,f1368]) ).
fof(f526,plain,
( e11 = op1(e13,e11)
| ~ sP41 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e11 = op1(e13,e11) )
| ~ sP41 ),
inference(nnf_transformation,[],[f64]) ).
fof(f1366,plain,
( ~ spl44_106
| spl44_107 ),
inference(avatar_split_clause,[],[f521,f1363,f1359]) ).
fof(f521,plain,
( e12 = op1(e13,e12)
| ~ sP42 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e12 = op1(e13,e12) )
| ~ sP42 ),
inference(nnf_transformation,[],[f65]) ).
fof(f1357,plain,
( ~ spl44_104
| spl44_105 ),
inference(avatar_split_clause,[],[f488,f1354,f1350]) ).
fof(f488,plain,
( e21 = op2(e20,e21)
| ~ sP13 ),
inference(cnf_transformation,[],[f94]) ).
fof(f1348,plain,
( ~ spl44_102
| spl44_103 ),
inference(avatar_split_clause,[],[f483,f1345,f1341]) ).
fof(f483,plain,
( e22 = op2(e20,e22)
| ~ sP14 ),
inference(cnf_transformation,[],[f93]) ).
fof(f1339,plain,
( ~ spl44_100
| spl44_101 ),
inference(avatar_split_clause,[],[f478,f1336,f1332]) ).
fof(f478,plain,
( e23 = op2(e20,e23)
| ~ sP15 ),
inference(cnf_transformation,[],[f92]) ).
fof(f1330,plain,
( ~ spl44_98
| spl44_99 ),
inference(avatar_split_clause,[],[f473,f1327,f1323]) ).
fof(f473,plain,
( e20 = op2(e21,e20)
| ~ sP16 ),
inference(cnf_transformation,[],[f91]) ).
fof(f1321,plain,
( ~ spl44_96
| spl44_97 ),
inference(avatar_split_clause,[],[f463,f1318,f1314]) ).
fof(f463,plain,
( e22 = op2(e21,e22)
| ~ sP18 ),
inference(cnf_transformation,[],[f89]) ).
fof(f1312,plain,
( ~ spl44_94
| spl44_95 ),
inference(avatar_split_clause,[],[f458,f1309,f1305]) ).
fof(f458,plain,
( e23 = op2(e21,e23)
| ~ sP19 ),
inference(cnf_transformation,[],[f88]) ).
fof(f1303,plain,
( ~ spl44_92
| spl44_93 ),
inference(avatar_split_clause,[],[f453,f1300,f1296]) ).
fof(f453,plain,
( e20 = op2(e22,e20)
| ~ sP20 ),
inference(cnf_transformation,[],[f87]) ).
fof(f1294,plain,
( ~ spl44_90
| spl44_91 ),
inference(avatar_split_clause,[],[f448,f1291,f1287]) ).
fof(f448,plain,
( e21 = op2(e22,e21)
| ~ sP21 ),
inference(cnf_transformation,[],[f86]) ).
fof(f1285,plain,
( ~ spl44_88
| spl44_89 ),
inference(avatar_split_clause,[],[f438,f1282,f1278]) ).
fof(f438,plain,
( e23 = op2(e22,e23)
| ~ sP23 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e23 = op2(e22,e23) )
| ~ sP23 ),
inference(nnf_transformation,[],[f45]) ).
fof(f1276,plain,
( ~ spl44_86
| spl44_87 ),
inference(avatar_split_clause,[],[f433,f1273,f1269]) ).
fof(f433,plain,
( e20 = op2(e23,e20)
| ~ sP24 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e20 = op2(e23,e20) )
| ~ sP24 ),
inference(nnf_transformation,[],[f46]) ).
fof(f1267,plain,
( ~ spl44_84
| spl44_85 ),
inference(avatar_split_clause,[],[f428,f1264,f1260]) ).
fof(f428,plain,
( e21 = op2(e23,e21)
| ~ sP25 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e21 = op2(e23,e21) )
| ~ sP25 ),
inference(nnf_transformation,[],[f47]) ).
fof(f1258,plain,
( ~ spl44_82
| spl44_83 ),
inference(avatar_split_clause,[],[f423,f1255,f1251]) ).
fof(f423,plain,
( e22 = op2(e23,e22)
| ~ sP26 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e22 = op2(e23,e22) )
| ~ sP26 ),
inference(nnf_transformation,[],[f48]) ).
fof(f1246,plain,
( spl44_40
| ~ spl44_59
| ~ spl44_81 ),
inference(avatar_split_clause,[],[f1245,f1241,f1131,f1045]) ).
fof(f1241,plain,
( spl44_81
<=> op2(e23,e23) = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_81])]) ).
fof(f1245,plain,
( e20 = h4(e10)
| ~ spl44_59
| ~ spl44_81 ),
inference(forward_demodulation,[],[f1243,f1133]) ).
fof(f1243,plain,
( op2(e23,e23) = h4(e10)
| ~ spl44_81 ),
inference(avatar_component_clause,[],[f1241]) ).
fof(f1244,plain,
spl44_81,
inference(avatar_split_clause,[],[f217,f1241]) ).
fof(f1239,plain,
spl44_80,
inference(avatar_split_clause,[],[f213,f1236]) ).
fof(f1234,plain,
spl44_79,
inference(avatar_split_clause,[],[f209,f1231]) ).
fof(f1229,plain,
spl44_78,
inference(avatar_split_clause,[],[f205,f1226]) ).
fof(f1223,plain,
( ~ spl44_77
| spl44_58 ),
inference(avatar_split_clause,[],[f810,f1126,f1220]) ).
fof(f810,plain,
( e20 = h1(e10)
| ~ sP12 ),
inference(forward_demodulation,[],[f493,f205]) ).
fof(f493,plain,
( e20 = op2(e20,e20)
| ~ sP12 ),
inference(cnf_transformation,[],[f95]) ).
fof(f1218,plain,
( ~ spl44_76
| spl44_50 ),
inference(avatar_split_clause,[],[f789,f1090,f1215]) ).
fof(f789,plain,
( e21 = h2(e10)
| ~ sP17 ),
inference(forward_demodulation,[],[f468,f213]) ).
fof(f468,plain,
( e21 = op2(e21,e21)
| ~ sP17 ),
inference(cnf_transformation,[],[f90]) ).
fof(f1213,plain,
( ~ spl44_75
| spl44_42 ),
inference(avatar_split_clause,[],[f768,f1054,f1210]) ).
fof(f768,plain,
( e22 = h3(e10)
| ~ sP22 ),
inference(forward_demodulation,[],[f443,f209]) ).
fof(f443,plain,
( e22 = op2(e22,e22)
| ~ sP22 ),
inference(cnf_transformation,[],[f85]) ).
fof(f1208,plain,
( ~ spl44_73
| ~ spl44_74 ),
inference(avatar_split_clause,[],[f743,f1205,f1201]) ).
fof(f1205,plain,
( spl44_74
<=> e23 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_74])]) ).
fof(f743,plain,
( e23 != h4(e10)
| ~ sP27 ),
inference(forward_demodulation,[],[f645,f217]) ).
fof(f645,plain,
( e23 != op2(e23,e23)
| ~ sP27 ),
inference(duplicate_literal_removal,[],[f422]) ).
fof(f422,plain,
( e23 != op2(e23,e23)
| e23 != op2(e23,e23)
| ~ sP27 ),
inference(cnf_transformation,[],[f80]) ).
fof(f1199,plain,
~ spl44_72,
inference(avatar_split_clause,[],[f679,f1196]) ).
fof(f679,plain,
e11 != op1(e10,e13),
inference(forward_demodulation,[],[f245,f668]) ).
fof(f245,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1194,plain,
~ spl44_71,
inference(avatar_split_clause,[],[f678,f1191]) ).
fof(f678,plain,
e10 != op1(e10,e13),
inference(forward_demodulation,[],[f246,f223]) ).
fof(f246,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1189,plain,
~ spl44_70,
inference(avatar_split_clause,[],[f677,f1186]) ).
fof(f677,plain,
e11 != op1(e11,e13),
inference(forward_demodulation,[],[f247,f668]) ).
fof(f247,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1184,plain,
~ spl44_69,
inference(avatar_split_clause,[],[f676,f1181]) ).
fof(f676,plain,
e10 != op1(e11,e13),
inference(forward_demodulation,[],[f248,f223]) ).
fof(f248,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1179,plain,
~ spl44_68,
inference(avatar_split_clause,[],[f675,f1176]) ).
fof(f675,plain,
e10 != op1(e12,e13),
inference(forward_demodulation,[],[f249,f223]) ).
fof(f249,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1174,plain,
~ spl44_67,
inference(avatar_split_clause,[],[f674,f1171]) ).
fof(f674,plain,
e11 != op1(e12,e10),
inference(forward_demodulation,[],[f264,f668]) ).
fof(f264,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1169,plain,
~ spl44_66,
inference(avatar_split_clause,[],[f673,f1166]) ).
fof(f673,plain,
e11 != op1(e12,e11),
inference(forward_demodulation,[],[f266,f668]) ).
fof(f266,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1164,plain,
~ spl44_65,
inference(avatar_split_clause,[],[f672,f1161]) ).
fof(f1161,plain,
( spl44_65
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_65])]) ).
fof(f672,plain,
e11 != op1(e12,e12),
inference(forward_demodulation,[],[f267,f668]) ).
fof(f267,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1159,plain,
~ spl44_64,
inference(avatar_split_clause,[],[f671,f1156]) ).
fof(f671,plain,
e10 != op1(e13,e10),
inference(forward_demodulation,[],[f270,f223]) ).
fof(f270,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1154,plain,
~ spl44_63,
inference(avatar_split_clause,[],[f670,f1151]) ).
fof(f1151,plain,
( spl44_63
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_63])]) ).
fof(f670,plain,
e10 != op1(e13,e11),
inference(forward_demodulation,[],[f272,f223]) ).
fof(f272,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1149,plain,
~ spl44_62,
inference(avatar_split_clause,[],[f669,f1146]) ).
fof(f669,plain,
e10 != op1(e13,e12),
inference(forward_demodulation,[],[f273,f223]) ).
fof(f273,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1144,plain,
spl44_61,
inference(avatar_split_clause,[],[f668,f1141]) ).
fof(f1139,plain,
spl44_60,
inference(avatar_split_clause,[],[f223,f1136]) ).
fof(f1134,plain,
spl44_59,
inference(avatar_split_clause,[],[f220,f1131]) ).
fof(f1129,plain,
( ~ spl44_57
| ~ spl44_58 ),
inference(avatar_split_clause,[],[f156,f1126,f1122]) ).
fof(f156,plain,
( e20 != h1(e10)
| ~ sP0 ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f1120,plain,
( ~ spl44_55
| ~ spl44_56 ),
inference(avatar_split_clause,[],[f152,f1117,f1113]) ).
fof(f152,plain,
( e21 != h1(e10)
| ~ sP1 ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f1111,plain,
( ~ spl44_53
| ~ spl44_54 ),
inference(avatar_split_clause,[],[f148,f1108,f1104]) ).
fof(f148,plain,
( e22 != h1(e10)
| ~ sP2 ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f1102,plain,
( ~ spl44_51
| ~ spl44_52 ),
inference(avatar_split_clause,[],[f144,f1099,f1095]) ).
fof(f144,plain,
( e20 != h2(e10)
| ~ sP3 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f1093,plain,
( ~ spl44_49
| ~ spl44_50 ),
inference(avatar_split_clause,[],[f140,f1090,f1086]) ).
fof(f140,plain,
( e21 != h2(e10)
| ~ sP4 ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
fof(f1084,plain,
( ~ spl44_47
| ~ spl44_48 ),
inference(avatar_split_clause,[],[f136,f1081,f1077]) ).
fof(f136,plain,
( e22 != h2(e10)
| ~ sP5 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP5 ),
inference(nnf_transformation,[],[f26]) ).
fof(f1075,plain,
( ~ spl44_45
| ~ spl44_46 ),
inference(avatar_split_clause,[],[f132,f1072,f1068]) ).
fof(f132,plain,
( e20 != h3(e10)
| ~ sP6 ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f1066,plain,
( ~ spl44_43
| ~ spl44_44 ),
inference(avatar_split_clause,[],[f128,f1063,f1059]) ).
fof(f1063,plain,
( spl44_44
<=> e21 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_44])]) ).
fof(f128,plain,
( e21 != h3(e10)
| ~ sP7 ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f1057,plain,
( ~ spl44_41
| ~ spl44_42 ),
inference(avatar_split_clause,[],[f124,f1054,f1050]) ).
fof(f124,plain,
( e22 != h3(e10)
| ~ sP8 ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
fof(f1048,plain,
( ~ spl44_39
| ~ spl44_40 ),
inference(avatar_split_clause,[],[f120,f1045,f1041]) ).
fof(f120,plain,
( e20 != h4(e10)
| ~ sP9 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP9 ),
inference(nnf_transformation,[],[f30]) ).
fof(f1039,plain,
( ~ spl44_37
| ~ spl44_38 ),
inference(avatar_split_clause,[],[f116,f1036,f1032]) ).
fof(f1036,plain,
( spl44_38
<=> e21 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_38])]) ).
fof(f116,plain,
( e21 != h4(e10)
| ~ sP10 ),
inference(cnf_transformation,[],[f69]) ).
fof(f1030,plain,
( ~ spl44_35
| ~ spl44_36 ),
inference(avatar_split_clause,[],[f112,f1027,f1023]) ).
fof(f1027,plain,
( spl44_36
<=> e22 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_36])]) ).
fof(f112,plain,
( e22 != h4(e10)
| ~ sP11 ),
inference(cnf_transformation,[],[f68]) ).
fof(f1021,plain,
( ~ spl44_34
| spl44_27 ),
inference(avatar_split_clause,[],[f832,f983,f1018]) ).
fof(f832,plain,
( e11 = e13
| ~ sP39 ),
inference(forward_demodulation,[],[f536,f668]) ).
fof(f536,plain,
( e13 = op1(e12,e13)
| ~ sP39 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e13 = op1(e12,e13) )
| ~ sP39 ),
inference(nnf_transformation,[],[f62]) ).
fof(f1016,plain,
( ~ spl44_33
| spl44_25 ),
inference(avatar_split_clause,[],[f824,f973,f1013]) ).
fof(f824,plain,
( e10 = e13
| ~ sP43 ),
inference(forward_demodulation,[],[f516,f223]) ).
fof(f516,plain,
( e13 = op1(e13,e13)
| ~ sP43 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e13 = op1(e13,e13) )
| ~ sP43 ),
inference(nnf_transformation,[],[f66]) ).
fof(f1011,plain,
spl44_32,
inference(avatar_split_clause,[],[f216,f1008]) ).
fof(f216,plain,
e23 = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f1006,plain,
spl44_31,
inference(avatar_split_clause,[],[f212,f1003]) ).
fof(f212,plain,
e21 = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f1001,plain,
spl44_30,
inference(avatar_split_clause,[],[f208,f998]) ).
fof(f208,plain,
e22 = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f996,plain,
spl44_29,
inference(avatar_split_clause,[],[f204,f993]) ).
fof(f204,plain,
e20 = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f991,plain,
~ spl44_28,
inference(avatar_split_clause,[],[f203,f988]) ).
fof(f203,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f986,plain,
~ spl44_27,
inference(avatar_split_clause,[],[f202,f983]) ).
fof(f202,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f981,plain,
~ spl44_26,
inference(avatar_split_clause,[],[f201,f978]) ).
fof(f201,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f976,plain,
~ spl44_25,
inference(avatar_split_clause,[],[f200,f973]) ).
fof(f200,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f971,plain,
~ spl44_24,
inference(avatar_split_clause,[],[f199,f968]) ).
fof(f199,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f966,plain,
~ spl44_23,
inference(avatar_split_clause,[],[f198,f963]) ).
fof(f198,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f961,plain,
~ spl44_22,
inference(avatar_split_clause,[],[f197,f958]) ).
fof(f958,plain,
( spl44_22
<=> e13 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_22])]) ).
fof(f197,plain,
e13 != e23,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
( e13 != e23
& e13 != e22
& e13 != e21
& e13 != e20
& e12 != e23
& e12 != e22
& e12 != e21
& e12 != e20
& e11 != e23
& e11 != e22
& e11 != e21
& e11 != e20
& e10 != e23
& e10 != e22
& e10 != e21
& e10 != e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f956,plain,
~ spl44_21,
inference(avatar_split_clause,[],[f196,f953]) ).
fof(f953,plain,
( spl44_21
<=> e13 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_21])]) ).
fof(f196,plain,
e13 != e22,
inference(cnf_transformation,[],[f9]) ).
fof(f951,plain,
~ spl44_20,
inference(avatar_split_clause,[],[f195,f948]) ).
fof(f948,plain,
( spl44_20
<=> e13 = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_20])]) ).
fof(f195,plain,
e13 != e21,
inference(cnf_transformation,[],[f9]) ).
fof(f946,plain,
~ spl44_19,
inference(avatar_split_clause,[],[f194,f943]) ).
fof(f943,plain,
( spl44_19
<=> e13 = e20 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_19])]) ).
fof(f194,plain,
e13 != e20,
inference(cnf_transformation,[],[f9]) ).
fof(f941,plain,
~ spl44_18,
inference(avatar_split_clause,[],[f193,f938]) ).
fof(f938,plain,
( spl44_18
<=> e12 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_18])]) ).
fof(f193,plain,
e12 != e23,
inference(cnf_transformation,[],[f9]) ).
fof(f936,plain,
~ spl44_17,
inference(avatar_split_clause,[],[f192,f933]) ).
fof(f933,plain,
( spl44_17
<=> e12 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_17])]) ).
fof(f192,plain,
e12 != e22,
inference(cnf_transformation,[],[f9]) ).
fof(f931,plain,
~ spl44_16,
inference(avatar_split_clause,[],[f191,f928]) ).
fof(f928,plain,
( spl44_16
<=> e12 = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_16])]) ).
fof(f191,plain,
e12 != e21,
inference(cnf_transformation,[],[f9]) ).
fof(f926,plain,
~ spl44_15,
inference(avatar_split_clause,[],[f190,f923]) ).
fof(f923,plain,
( spl44_15
<=> e12 = e20 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_15])]) ).
fof(f190,plain,
e12 != e20,
inference(cnf_transformation,[],[f9]) ).
fof(f921,plain,
~ spl44_14,
inference(avatar_split_clause,[],[f189,f918]) ).
fof(f918,plain,
( spl44_14
<=> e11 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_14])]) ).
fof(f189,plain,
e11 != e23,
inference(cnf_transformation,[],[f9]) ).
fof(f916,plain,
~ spl44_13,
inference(avatar_split_clause,[],[f188,f913]) ).
fof(f913,plain,
( spl44_13
<=> e11 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_13])]) ).
fof(f188,plain,
e11 != e22,
inference(cnf_transformation,[],[f9]) ).
fof(f911,plain,
~ spl44_12,
inference(avatar_split_clause,[],[f187,f908]) ).
fof(f908,plain,
( spl44_12
<=> e11 = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_12])]) ).
fof(f187,plain,
e11 != e21,
inference(cnf_transformation,[],[f9]) ).
fof(f906,plain,
~ spl44_11,
inference(avatar_split_clause,[],[f186,f903]) ).
fof(f903,plain,
( spl44_11
<=> e11 = e20 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_11])]) ).
fof(f186,plain,
e11 != e20,
inference(cnf_transformation,[],[f9]) ).
fof(f901,plain,
~ spl44_10,
inference(avatar_split_clause,[],[f185,f898]) ).
fof(f898,plain,
( spl44_10
<=> e10 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_10])]) ).
fof(f185,plain,
e10 != e23,
inference(cnf_transformation,[],[f9]) ).
fof(f896,plain,
~ spl44_9,
inference(avatar_split_clause,[],[f184,f893]) ).
fof(f893,plain,
( spl44_9
<=> e10 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_9])]) ).
fof(f184,plain,
e10 != e22,
inference(cnf_transformation,[],[f9]) ).
fof(f891,plain,
~ spl44_8,
inference(avatar_split_clause,[],[f183,f888]) ).
fof(f888,plain,
( spl44_8
<=> e10 = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_8])]) ).
fof(f183,plain,
e10 != e21,
inference(cnf_transformation,[],[f9]) ).
fof(f886,plain,
~ spl44_7,
inference(avatar_split_clause,[],[f182,f883]) ).
fof(f883,plain,
( spl44_7
<=> e10 = e20 ),
introduced(avatar_definition,[new_symbols(naming,[spl44_7])]) ).
fof(f182,plain,
e10 != e20,
inference(cnf_transformation,[],[f9]) ).
fof(f881,plain,
~ spl44_6,
inference(avatar_split_clause,[],[f181,f878]) ).
fof(f181,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f876,plain,
~ spl44_5,
inference(avatar_split_clause,[],[f180,f873]) ).
fof(f180,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f871,plain,
~ spl44_4,
inference(avatar_split_clause,[],[f179,f868]) ).
fof(f179,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f866,plain,
~ spl44_3,
inference(avatar_split_clause,[],[f178,f863]) ).
fof(f178,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f861,plain,
~ spl44_2,
inference(avatar_split_clause,[],[f177,f858]) ).
fof(f177,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f856,plain,
~ spl44_1,
inference(avatar_split_clause,[],[f176,f853]) ).
fof(f176,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : ALG123+1 : TPTP v8.1.2. Released v2.7.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n007.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri May 3 19:57:37 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (24765)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.35 % (24768)WARNING: value z3 for option sas not known
% 0.16/0.35 % (24768)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.35 % (24772)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.35 % (24767)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.35 % (24766)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.35 % (24771)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.35 % (24769)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.35 % (24770)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.44 Detected minimum model sizes of [8]
% 0.16/0.44 Detected maximum model sizes of [max]
% 0.16/0.45 TRYING [8]
% 0.16/0.56 % (24770)First to succeed.
% 1.92/0.60 % (24770)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24765"
% 1.92/0.61 % (24770)Refutation found. Thanks to Tanya!
% 1.92/0.61 % SZS status Theorem for theBenchmark
% 1.92/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.92/0.63 % (24770)------------------------------
% 1.92/0.63 % (24770)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.92/0.63 % (24770)Termination reason: Refutation
% 1.92/0.63
% 1.92/0.63 % (24770)Memory used [KB]: 3503
% 1.92/0.63 % (24770)Time elapsed: 0.252 s
% 1.92/0.63 % (24770)Instructions burned: 515 (million)
% 1.92/0.63 % (24765)Success in time 0.294 s
%------------------------------------------------------------------------------