TSTP Solution File: ALG127+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG127+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 : Mon May 20 18:32:10 EDT 2024
% Result : Theorem 2.60s 0.85s
% Output : Refutation 3.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 661
% Syntax : Number of formulae : 4477 ( 330 unt; 0 def)
% Number of atoms : 18823 (7077 equ)
% Maximal formula atoms : 180 ( 4 avg)
% Number of connectives : 25800 (11454 ~;12768 |; 986 &)
% ( 592 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 646 ( 644 usr; 645 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17512,plain,
$false,
inference(avatar_sat_refutation,[],[f868,f873,f878,f883,f888,f893,f898,f903,f908,f913,f918,f923,f928,f933,f938,f943,f948,f953,f958,f963,f968,f973,f978,f983,f988,f993,f998,f1003,f1008,f1013,f1018,f1023,f1040,f1057,f1062,f1067,f1076,f1085,f1094,f1103,f1112,f1121,f1130,f1139,f1148,f1157,f1166,f1175,f1180,f1185,f1190,f1195,f1204,f1213,f1218,f1227,f1232,f1237,f1242,f1247,f1252,f1257,f1262,f1267,f1273,f1278,f1284,f1294,f1303,f1312,f1321,f1330,f1339,f1348,f1353,f1358,f1359,f1360,f1369,f1378,f1387,f1396,f1405,f1414,f1423,f1432,f1437,f1446,f1455,f1464,f1473,f1478,f1483,f1488,f1493,f1498,f1504,f1509,f1515,f1520,f1526,f1531,f1537,f1543,f1549,f1554,f1559,f1564,f1569,f1574,f1579,f1585,f1590,f1596,f1601,f1607,f1612,f1618,f1623,f1629,f1634,f1640,f1645,f1650,f1655,f1660,f1665,f1671,f1679,f1684,f1690,f1695,f1701,f1706,f1712,f1717,f1722,f1727,f1732,f1737,f1742,f1747,f1752,f1757,f1762,f1767,f1773,f1778,f1783,f1789,f1794,f1799,f1805,f1810,f1816,f1821,f1827,f1832,f1837,f1843,f1848,f1854,f1860,f1866,f1871,f1876,f1881,f1886,f1891,f1896,f1901,f1906,f1911,f1916,f1922,f1927,f1933,f1939,f1944,f1950,f1955,f1961,f1967,f1972,f1977,f1982,f1987,f1992,f1997,f2002,f2007,f2012,f2017,f2022,f2027,f2032,f2037,f2042,f2047,f2053,f2059,f2064,f2069,f2074,f2079,f2084,f2089,f2094,f2099,f2105,f2110,f2116,f2121,f2126,f2131,f2136,f2141,f2146,f2149,f2156,f2159,f2167,f2173,f2183,f2188,f2199,f2204,f2210,f2215,f2221,f2226,f2234,f2239,f2247,f2256,f2265,f2271,f2272,f2273,f2278,f2279,f2284,f2288,f2293,f2298,f2301,f2304,f2312,f2321,f2326,f2333,f2337,f2346,f2352,f2353,f2355,f2369,f2370,f2380,f2381,f2387,f2390,f2393,f2408,f2409,f2431,f2450,f2464,f2469,f2489,f2507,f2525,f2527,f2544,f2559,f2571,f2574,f2604,f2612,f2617,f2622,f2628,f2635,f2638,f2673,f2689,f2692,f2710,f2716,f2737,f2742,f2743,f2747,f2782,f2784,f2785,f2811,f2823,f2827,f2839,f2861,f2874,f2899,f2905,f2910,f2917,f2920,f2926,f2935,f2940,f2958,f2966,f2975,f2984,f2986,f2993,f3023,f3044,f3046,f3050,f3053,f3055,f3079,f3090,f3111,f3119,f3126,f3138,f3145,f3150,f3155,f3160,f3183,f3213,f3247,f3255,f3270,f3278,f3286,f3290,f3300,f3307,f3328,f3334,f3336,f3341,f3346,f3357,f3373,f3400,f3452,f3460,f3495,f3500,f3503,f3512,f3518,f3519,f3554,f3563,f3584,f3603,f3610,f3612,f3633,f3647,f3650,f3654,f3657,f3661,f3671,f3683,f3687,f3705,f3718,f3733,f3765,f3770,f3776,f3783,f3788,f3836,f3851,f3891,f3912,f3918,f3929,f3930,f3932,f3940,f3943,f3951,f3969,f3981,f3985,f3994,f4001,f4029,f4049,f4058,f4074,f4086,f4088,f4100,f4106,f4108,f4118,f4157,f4187,f4242,f4265,f4268,f4284,f4298,f4300,f4307,f4328,f4366,f4388,f4418,f4424,f4425,f4448,f4454,f4471,f4473,f4493,f4503,f4504,f4516,f4549,f4555,f4559,f4594,f4698,f4723,f4727,f4756,f4758,f4763,f4766,f4867,f4885,f4911,f4916,f4955,f4994,f5007,f5015,f5021,f5035,f5040,f5044,f5055,f5057,f5070,f5106,f5116,f5117,f5152,f5158,f5202,f5217,f5229,f5233,f5234,f5244,f5258,f5259,f5266,f5272,f5274,f5284,f5374,f5382,f5446,f5487,f5510,f5516,f5542,f5547,f5562,f5564,f5570,f5583,f5585,f5593,f5599,f5602,f5623,f5628,f5638,f5652,f5677,f5701,f5708,f5715,f5736,f5742,f5750,f5764,f5781,f5811,f5828,f5830,f5843,f5866,f5873,f5874,f5882,f5885,f5903,f5906,f5926,f5929,f5930,f5944,f5949,f5963,f6105,f6123,f6134,f6141,f6145,f6159,f6166,f6194,f6195,f6204,f6205,f6228,f6251,f6277,f6304,f6319,f6324,f6341,f6351,f6364,f6390,f6440,f6466,f6475,f6490,f6550,f6560,f6578,f6599,f6617,f6628,f6641,f6651,f6696,f6697,f6736,f6739,f6757,f6789,f6808,f6828,f6853,f6868,f6905,f6956,f6990,f6995,f7042,f7073,f7108,f7117,f7153,f7208,f7213,f7225,f7227,f7250,f7258,f7281,f7285,f7288,f7303,f7314,f7360,f7366,f7397,f7399,f7415,f7426,f7428,f7503,f7521,f7530,f7563,f7567,f7571,f7576,f7581,f7583,f7587,f7647,f7688,f7693,f7697,f7700,f7769,f7823,f7826,f7830,f7834,f7838,f7842,f7846,f7851,f7856,f7860,f7865,f7869,f7874,f7878,f7883,f7888,f7894,f7901,f7935,f7936,f7956,f7957,f7978,f7987,f7992,f7996,f8131,f8157,f8168,f8179,f8184,f8188,f8192,f8197,f8202,f8207,f8212,f8216,f8226,f8236,f8237,f8247,f8281,f8287,f8292,f8351,f8358,f8418,f8470,f8481,f8530,f8536,f8577,f8587,f8588,f8624,f8648,f8654,f8660,f8663,f8675,f8682,f8689,f8692,f8708,f8717,f8723,f8729,f8775,f8776,f8827,f8934,f8936,f8940,f8943,f8945,f8951,f8958,f8961,f8980,f9001,f9017,f9018,f9021,f9025,f9029,f9030,f9046,f9055,f9061,f9062,f9068,f9075,f9082,f9089,f9095,f9101,f9109,f9114,f9121,f9122,f9154,f9159,f9164,f9169,f9180,f9215,f9322,f9323,f9328,f9329,f9334,f9364,f9365,f9376,f9382,f9824,f9969,f10015,f10032,f10097,f10160,f10177,f10223,f10238,f10243,f10244,f10245,f10251,f10253,f10254,f10255,f10256,f10257,f10259,f10279,f10280,f10290,f10291,f10292,f10298,f10305,f10308,f10315,f10319,f10337,f10343,f10381,f10412,f10417,f10456,f10471,f10473,f10474,f10516,f10521,f10526,f10527,f10535,f10640,f10645,f10650,f10652,f10658,f10664,f10670,f10675,f10680,f10686,f10687,f10693,f10702,f10711,f10853,f10874,f10876,f10895,f10900,f10905,f10911,f10917,f10925,f10927,f10956,f10959,f10969,f10972,f10981,f10983,f10998,f11000,f11005,f11008,f11031,f11037,f11044,f11050,f11056,f11058,f11071,f11073,f11110,f11157,f11339,f11371,f11393,f11399,f11403,f11479,f11508,f11536,f11614,f11616,f11629,f11631,f11638,f11640,f11660,f11662,f11675,f11718,f11729,f11743,f11744,f11753,f11758,f11759,f11806,f11815,f11869,f11892,f11893,f11902,f11903,f12012,f12019,f12025,f12029,f12036,f12071,f12085,f12092,f12107,f12110,f12117,f12118,f12120,f12185,f12200,f12225,f12246,f12248,f12256,f12283,f12363,f12373,f12376,f12392,f12423,f12441,f12492,f12503,f12522,f12524,f12526,f12542,f12659,f12666,f12676,f12683,f12712,f12723,f12779,f12862,f12867,f12873,f12899,f13030,f13390,f13445,f13493,f13499,f13500,f13504,f13508,f13589,f13612,f13614,f13616,f13618,f13629,f13635,f13664,f13698,f13700,f13798,f13801,f13812,f13813,f13814,f13816,f13833,f13835,f13852,f13854,f13856,f13858,f13876,f13877,f13906,f13908,f13918,f13958,f13969,f14024,f14039,f14058,f14128,f14183,f14239,f14283,f14288,f14291,f14364,f14419,f14423,f14427,f14432,f14436,f14440,f14444,f14448,f14453,f14508,f14549,f14553,f14558,f14563,f14567,f14610,f14638,f14643,f14648,f14652,f14817,f14850,f14859,f14865,f14877,f14879,f14891,f14897,f14903,f14909,f14911,f14916,f14924,f14937,f14939,f14954,f14961,f14963,f14973,f14975,f14980,f15003,f15033,f15069,f15084,f15085,f15091,f15096,f15098,f15269,f15288,f15294,f15301,f15304,f15307,f15310,f15314,f15517,f15558,f16088,f16190,f16245,f16289,f16298,f16391,f16456,f16515,f16632,f16708,f16735,f16736,f16808,f16813,f16818,f16832,f16854,f16878,f16881,f16893,f16895,f16910,f16912,f16914,f16932,f16934,f16940,f16941,f16942,f16944,f16982,f16984,f17035,f17040,f17052,f17059,f17071,f17118,f17126,f17130,f17135,f17141,f17143,f17146,f17148,f17157,f17163,f17165,f17172,f17181,f17188,f17195,f17201,f17207,f17213,f17220,f17226,f17230,f17234,f17236,f17271,f17284,f17285,f17293,f17306,f17312,f17318,f17325,f17331,f17333,f17342,f17349,f17352,f17360,f17372,f17380,f17385,f17392,f17407,f17427,f17428,f17429,f17473,f17511]) ).
fof(f17511,plain,
( spl52_354
| spl52_27
| spl52_23
| spl52_26
| ~ spl52_112
| ~ spl52_290
| ~ spl52_342 ),
inference(avatar_split_clause,[],[f15958,f3978,f2447,f1393,f990,f975,f995,f6638]) ).
fof(f6638,plain,
( spl52_354
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_354])]) ).
fof(f995,plain,
( spl52_27
<=> e11 = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_27])]) ).
fof(f975,plain,
( spl52_23
<=> e10 = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_23])]) ).
fof(f990,plain,
( spl52_26
<=> e11 = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_26])]) ).
fof(f1393,plain,
( spl52_112
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_112])]) ).
fof(f2447,plain,
( spl52_290
<=> e12 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_290])]) ).
fof(f3978,plain,
( spl52_342
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_342])]) ).
fof(f15958,plain,
( e11 = e12
| e10 = e11
| e11 = e13
| e11 = op1(e13,e12)
| ~ spl52_112
| ~ spl52_290
| ~ spl52_342 ),
inference(forward_demodulation,[],[f12785,f2449]) ).
fof(f2449,plain,
( e12 = op1(e13,e13)
| ~ spl52_290 ),
inference(avatar_component_clause,[],[f2447]) ).
fof(f12785,plain,
( e10 = e11
| e11 = e13
| e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| ~ spl52_112
| ~ spl52_342 ),
inference(forward_demodulation,[],[f12444,f3980]) ).
fof(f3980,plain,
( e10 = op1(e13,e11)
| ~ spl52_342 ),
inference(avatar_component_clause,[],[f3978]) ).
fof(f12444,plain,
( e11 = e13
| e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| ~ spl52_112 ),
inference(forward_demodulation,[],[f412,f1395]) ).
fof(f1395,plain,
( e13 = op1(e13,e10)
| ~ spl52_112 ),
inference(avatar_component_clause,[],[f1393]) ).
fof(f412,plain,
( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) ),
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/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f17473,plain,
( spl52_6
| ~ spl52_66
| ~ spl52_67
| ~ spl52_118
| ~ spl52_266
| ~ spl52_313
| ~ spl52_345
| ~ spl52_519 ),
inference(avatar_split_clause,[],[f17435,f14325,f5052,f2734,f2218,f1420,f1177,f1172,f890]) ).
fof(f890,plain,
( spl52_6
<=> e22 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_6])]) ).
fof(f1172,plain,
( spl52_66
<=> e20 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_66])]) ).
fof(f1177,plain,
( spl52_67
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_67])]) ).
fof(f1420,plain,
( spl52_118
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_118])]) ).
fof(f2218,plain,
( spl52_266
<=> h1(e11) = op2(e20,h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_266])]) ).
fof(f2734,plain,
( spl52_313
<=> op2(e20,e20) = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_313])]) ).
fof(f5052,plain,
( spl52_345
<=> e22 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_345])]) ).
fof(f14325,plain,
( spl52_519
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_519])]) ).
fof(f17435,plain,
( e22 = e23
| ~ spl52_66
| ~ spl52_67
| ~ spl52_118
| ~ spl52_266
| ~ spl52_313
| ~ spl52_345
| ~ spl52_519 ),
inference(forward_demodulation,[],[f17434,f1179]) ).
fof(f1179,plain,
( e23 = op2(e22,e22)
| ~ spl52_67 ),
inference(avatar_component_clause,[],[f1177]) ).
fof(f17434,plain,
( e22 = op2(e22,e22)
| ~ spl52_66
| ~ spl52_118
| ~ spl52_266
| ~ spl52_313
| ~ spl52_345
| ~ spl52_519 ),
inference(forward_demodulation,[],[f17433,f17244]) ).
fof(f17244,plain,
( e22 = h1(e11)
| ~ spl52_66
| ~ spl52_266
| ~ spl52_313 ),
inference(forward_demodulation,[],[f8255,f2736]) ).
fof(f2736,plain,
( op2(e20,e20) = e22
| ~ spl52_313 ),
inference(avatar_component_clause,[],[f2734]) ).
fof(f8255,plain,
( op2(e20,e20) = h1(e11)
| ~ spl52_66
| ~ spl52_266 ),
inference(superposition,[],[f2220,f1173]) ).
fof(f1173,plain,
( e20 = h1(e10)
| ~ spl52_66 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f2220,plain,
( h1(e11) = op2(e20,h1(e10))
| ~ spl52_266 ),
inference(avatar_component_clause,[],[f2218]) ).
fof(f17433,plain,
( op2(e22,e22) = h1(e11)
| ~ spl52_66
| ~ spl52_118
| ~ spl52_266
| ~ spl52_313
| ~ spl52_345
| ~ spl52_519 ),
inference(forward_demodulation,[],[f17402,f1422]) ).
fof(f1422,plain,
( e11 = op1(e11,e13)
| ~ spl52_118 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f17402,plain,
( op2(e22,e22) = h1(op1(e11,e13))
| ~ spl52_66
| ~ spl52_266
| ~ spl52_313
| ~ spl52_345
| ~ spl52_519 ),
inference(forward_demodulation,[],[f17397,f17244]) ).
fof(f17397,plain,
( h1(op1(e11,e13)) = op2(h1(e11),e22)
| ~ spl52_345
| ~ spl52_519 ),
inference(superposition,[],[f14326,f5054]) ).
fof(f5054,plain,
( e22 = h1(e13)
| ~ spl52_345 ),
inference(avatar_component_clause,[],[f5052]) ).
fof(f14326,plain,
( h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
| ~ spl52_519 ),
inference(avatar_component_clause,[],[f14325]) ).
fof(f17429,plain,
( spl52_480
| ~ spl52_118
| ~ spl52_553 ),
inference(avatar_split_clause,[],[f17425,f14862,f1420,f13496]) ).
fof(f13496,plain,
( spl52_480
<=> e20 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_480])]) ).
fof(f14862,plain,
( spl52_553
<=> e20 = h1(op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_553])]) ).
fof(f17425,plain,
( e20 = h1(e11)
| ~ spl52_118
| ~ spl52_553 ),
inference(superposition,[],[f14864,f1422]) ).
fof(f14864,plain,
( e20 = h1(op1(e11,e13))
| ~ spl52_553 ),
inference(avatar_component_clause,[],[f14862]) ).
fof(f17428,plain,
( ~ spl52_160
| ~ spl52_70
| spl52_159 ),
inference(avatar_split_clause,[],[f1635,f1631,f1192,f1637]) ).
fof(f1637,plain,
( spl52_160
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_160])]) ).
fof(f1192,plain,
( spl52_70
<=> e21 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_70])]) ).
fof(f1631,plain,
( spl52_159
<=> op2(e20,e21) = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_159])]) ).
fof(f1635,plain,
( e21 != op2(e20,e21)
| ~ spl52_70
| spl52_159 ),
inference(forward_demodulation,[],[f1633,f1194]) ).
fof(f1194,plain,
( e21 = h2(e13)
| ~ spl52_70 ),
inference(avatar_component_clause,[],[f1192]) ).
fof(f1633,plain,
( op2(e20,e21) != h2(e13)
| spl52_159 ),
inference(avatar_component_clause,[],[f1631]) ).
fof(f17427,plain,
( ~ spl52_94
| ~ spl52_70
| spl52_140 ),
inference(avatar_split_clause,[],[f1532,f1528,f1192,f1309]) ).
fof(f1309,plain,
( spl52_94
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_94])]) ).
fof(f1528,plain,
( spl52_140
<=> op2(e21,e23) = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_140])]) ).
fof(f1532,plain,
( e21 != op2(e21,e23)
| ~ spl52_70
| spl52_140 ),
inference(forward_demodulation,[],[f1530,f1194]) ).
fof(f1530,plain,
( op2(e21,e23) != h2(e13)
| spl52_140 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f17407,plain,
( spl52_86
| ~ spl52_70
| ~ spl52_85 ),
inference(avatar_split_clause,[],[f1268,f1264,f1192,f1270]) ).
fof(f1270,plain,
( spl52_86
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_86])]) ).
fof(f1264,plain,
( spl52_85
<=> op2(e21,e21) = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_85])]) ).
fof(f1268,plain,
( e21 = op2(e21,e21)
| ~ spl52_70
| ~ spl52_85 ),
inference(forward_demodulation,[],[f1266,f1194]) ).
fof(f1266,plain,
( op2(e21,e21) = h2(e13)
| ~ spl52_85 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f17392,plain,
( ~ spl52_592
| ~ spl52_260
| ~ spl52_345
| spl52_591 ),
inference(avatar_split_clause,[],[f17387,f17382,f5052,f2180,f17389]) ).
fof(f17389,plain,
( spl52_592
<=> e21 = h1(op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_592])]) ).
fof(f2180,plain,
( spl52_260
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_260])]) ).
fof(f17382,plain,
( spl52_591
<=> h1(op1(e13,e12)) = op2(h1(e13),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_591])]) ).
fof(f17387,plain,
( e21 != h1(op1(e13,e12))
| ~ spl52_260
| ~ spl52_345
| spl52_591 ),
inference(forward_demodulation,[],[f17386,f2182]) ).
fof(f2182,plain,
( e21 = op2(e22,e20)
| ~ spl52_260 ),
inference(avatar_component_clause,[],[f2180]) ).
fof(f17386,plain,
( op2(e22,e20) != h1(op1(e13,e12))
| ~ spl52_345
| spl52_591 ),
inference(forward_demodulation,[],[f17384,f5054]) ).
fof(f17384,plain,
( h1(op1(e13,e12)) != op2(h1(e13),e20)
| spl52_591 ),
inference(avatar_component_clause,[],[f17382]) ).
fof(f17385,plain,
( ~ spl52_591
| ~ spl52_30
| spl52_540 ),
inference(avatar_split_clause,[],[f15076,f14501,f1010,f17382]) ).
fof(f1010,plain,
( spl52_30
<=> e20 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_30])]) ).
fof(f14501,plain,
( spl52_540
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_540])]) ).
fof(f15076,plain,
( h1(op1(e13,e12)) != op2(h1(e13),e20)
| ~ spl52_30
| spl52_540 ),
inference(forward_demodulation,[],[f14503,f1012]) ).
fof(f1012,plain,
( e20 = h1(e12)
| ~ spl52_30 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f14503,plain,
( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| spl52_540 ),
inference(avatar_component_clause,[],[f14501]) ).
fof(f17380,plain,
( ~ spl52_590
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281
| spl52_589 ),
inference(avatar_split_clause,[],[f17375,f17369,f2330,f2231,f1264,f17377]) ).
fof(f17377,plain,
( spl52_590
<=> e21 = h2(op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_590])]) ).
fof(f2231,plain,
( spl52_268
<=> e21 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_268])]) ).
fof(f2330,plain,
( spl52_281
<=> op2(e21,e21) = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_281])]) ).
fof(f17369,plain,
( spl52_589
<=> h2(op1(e13,e12)) = op2(h2(e13),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_589])]) ).
fof(f17375,plain,
( e21 != h2(op1(e13,e12))
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281
| spl52_589 ),
inference(forward_demodulation,[],[f17374,f4665]) ).
fof(f4665,plain,
( e21 = h2(e13)
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281 ),
inference(forward_demodulation,[],[f2334,f2233]) ).
fof(f2233,plain,
( e21 = h2(e11)
| ~ spl52_268 ),
inference(avatar_component_clause,[],[f2231]) ).
fof(f2334,plain,
( h2(e11) = h2(e13)
| ~ spl52_85
| ~ spl52_281 ),
inference(superposition,[],[f2332,f1266]) ).
fof(f2332,plain,
( op2(e21,e21) = h2(e11)
| ~ spl52_281 ),
inference(avatar_component_clause,[],[f2330]) ).
fof(f17374,plain,
( h2(e13) != h2(op1(e13,e12))
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281
| spl52_589 ),
inference(forward_demodulation,[],[f17373,f1266]) ).
fof(f17373,plain,
( op2(e21,e21) != h2(op1(e13,e12))
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281
| spl52_589 ),
inference(forward_demodulation,[],[f17371,f4665]) ).
fof(f17371,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e21)
| spl52_589 ),
inference(avatar_component_clause,[],[f17369]) ).
fof(f17372,plain,
( ~ spl52_589
| ~ spl52_31
| spl52_510 ),
inference(avatar_split_clause,[],[f14241,f14232,f1015,f17369]) ).
fof(f1015,plain,
( spl52_31
<=> e21 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_31])]) ).
fof(f14232,plain,
( spl52_510
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_510])]) ).
fof(f14241,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e21)
| ~ spl52_31
| spl52_510 ),
inference(forward_demodulation,[],[f14234,f1017]) ).
fof(f1017,plain,
( e21 = h2(e12)
| ~ spl52_31 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f14234,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl52_510 ),
inference(avatar_component_clause,[],[f14232]) ).
fof(f17360,plain,
( spl52_588
| ~ spl52_352
| ~ spl52_517 ),
inference(avatar_split_clause,[],[f15616,f14317,f6191,f17357]) ).
fof(f17357,plain,
( spl52_588
<=> h1(e13) = op2(h1(e11),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_588])]) ).
fof(f6191,plain,
( spl52_352
<=> e13 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_352])]) ).
fof(f14317,plain,
( spl52_517
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_517])]) ).
fof(f15616,plain,
( h1(e13) = op2(h1(e11),h1(e11))
| ~ spl52_352
| ~ spl52_517 ),
inference(forward_demodulation,[],[f14318,f6193]) ).
fof(f6193,plain,
( e13 = op1(e11,e11)
| ~ spl52_352 ),
inference(avatar_component_clause,[],[f6191]) ).
fof(f14318,plain,
( h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
| ~ spl52_517 ),
inference(avatar_component_clause,[],[f14317]) ).
fof(f17352,plain,
( ~ spl52_86
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281
| ~ spl52_318
| ~ spl52_321
| spl52_587 ),
inference(avatar_split_clause,[],[f17351,f17346,f2914,f2896,f2330,f2231,f1264,f1270]) ).
fof(f2896,plain,
( spl52_318
<=> e21 = op2(e21,h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_318])]) ).
fof(f2914,plain,
( spl52_321
<=> h2(e11) = op2(e21,h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_321])]) ).
fof(f17346,plain,
( spl52_587
<=> h2(e13) = op2(h2(e11),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_587])]) ).
fof(f17351,plain,
( e21 != op2(e21,e21)
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281
| ~ spl52_318
| ~ spl52_321
| spl52_587 ),
inference(forward_demodulation,[],[f17350,f4665]) ).
fof(f17350,plain,
( op2(e21,e21) != h2(e13)
| ~ spl52_318
| ~ spl52_321
| spl52_587 ),
inference(forward_demodulation,[],[f17348,f4453]) ).
fof(f4453,plain,
( e21 = h2(e11)
| ~ spl52_318
| ~ spl52_321 ),
inference(superposition,[],[f2916,f2897]) ).
fof(f2897,plain,
( e21 = op2(e21,h2(e10))
| ~ spl52_318 ),
inference(avatar_component_clause,[],[f2896]) ).
fof(f2916,plain,
( h2(e11) = op2(e21,h2(e10))
| ~ spl52_321 ),
inference(avatar_component_clause,[],[f2914]) ).
fof(f17348,plain,
( h2(e13) != op2(h2(e11),h2(e11))
| spl52_587 ),
inference(avatar_component_clause,[],[f17346]) ).
fof(f17349,plain,
( ~ spl52_587
| ~ spl52_352
| spl52_487 ),
inference(avatar_split_clause,[],[f15596,f14081,f6191,f17346]) ).
fof(f14081,plain,
( spl52_487
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_487])]) ).
fof(f15596,plain,
( h2(e13) != op2(h2(e11),h2(e11))
| ~ spl52_352
| spl52_487 ),
inference(forward_demodulation,[],[f14083,f6193]) ).
fof(f14083,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl52_487 ),
inference(avatar_component_clause,[],[f14081]) ).
fof(f17342,plain,
( ~ spl52_586
| ~ spl52_329
| spl52_543 ),
inference(avatar_split_clause,[],[f15613,f14575,f3131,f17339]) ).
fof(f17339,plain,
( spl52_586
<=> h1(e11) = op2(e23,h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_586])]) ).
fof(f3131,plain,
( spl52_329
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_329])]) ).
fof(f14575,plain,
( spl52_543
<=> h1(op1(e10,e11)) = op2(e23,h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_543])]) ).
fof(f15613,plain,
( h1(e11) != op2(e23,h1(e11))
| ~ spl52_329
| spl52_543 ),
inference(forward_demodulation,[],[f14577,f3133]) ).
fof(f3133,plain,
( e11 = op1(e10,e11)
| ~ spl52_329 ),
inference(avatar_component_clause,[],[f3131]) ).
fof(f14577,plain,
( h1(op1(e10,e11)) != op2(e23,h1(e11))
| spl52_543 ),
inference(avatar_component_clause,[],[f14575]) ).
fof(f17333,plain,
( ~ spl52_86
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281
| spl52_585 ),
inference(avatar_split_clause,[],[f17332,f17328,f2330,f2231,f1264,f1270]) ).
fof(f17328,plain,
( spl52_585
<=> h2(e13) = op2(h2(e13),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_585])]) ).
fof(f17332,plain,
( e21 != op2(e21,e21)
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281
| spl52_585 ),
inference(forward_demodulation,[],[f17330,f4665]) ).
fof(f17330,plain,
( h2(e13) != op2(h2(e13),e21)
| spl52_585 ),
inference(avatar_component_clause,[],[f17328]) ).
fof(f17331,plain,
( ~ spl52_585
| ~ spl52_58
| ~ spl52_112
| spl52_494 ),
inference(avatar_split_clause,[],[f15605,f14109,f1393,f1136,f17328]) ).
fof(f1136,plain,
( spl52_58
<=> e21 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_58])]) ).
fof(f14109,plain,
( spl52_494
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_494])]) ).
fof(f15605,plain,
( h2(e13) != op2(h2(e13),e21)
| ~ spl52_58
| ~ spl52_112
| spl52_494 ),
inference(forward_demodulation,[],[f14140,f1395]) ).
fof(f14140,plain,
( h2(op1(e13,e10)) != op2(h2(e13),e21)
| ~ spl52_58
| spl52_494 ),
inference(forward_demodulation,[],[f14111,f1137]) ).
fof(f1137,plain,
( e21 = h2(e10)
| ~ spl52_58 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f14111,plain,
( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| spl52_494 ),
inference(avatar_component_clause,[],[f14109]) ).
fof(f17325,plain,
( ~ spl52_584
| ~ spl52_112
| spl52_509 ),
inference(avatar_split_clause,[],[f15590,f14228,f1393,f17322]) ).
fof(f17322,plain,
( spl52_584
<=> h2(e13) = op2(h2(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_584])]) ).
fof(f14228,plain,
( spl52_509
<=> h2(op1(e13,e10)) = op2(h2(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_509])]) ).
fof(f15590,plain,
( h2(e13) != op2(h2(e13),e23)
| ~ spl52_112
| spl52_509 ),
inference(forward_demodulation,[],[f14230,f1395]) ).
fof(f14230,plain,
( h2(op1(e13,e10)) != op2(h2(e13),e23)
| spl52_509 ),
inference(avatar_component_clause,[],[f14228]) ).
fof(f17318,plain,
( ~ spl52_583
| ~ spl52_329
| spl52_500 ),
inference(avatar_split_clause,[],[f15585,f14192,f3131,f17315]) ).
fof(f17315,plain,
( spl52_583
<=> h2(e11) = op2(e23,h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_583])]) ).
fof(f14192,plain,
( spl52_500
<=> h2(op1(e10,e11)) = op2(e23,h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_500])]) ).
fof(f15585,plain,
( h2(e11) != op2(e23,h2(e11))
| ~ spl52_329
| spl52_500 ),
inference(forward_demodulation,[],[f14194,f3133]) ).
fof(f14194,plain,
( h2(op1(e10,e11)) != op2(e23,h2(e11))
| spl52_500 ),
inference(avatar_component_clause,[],[f14192]) ).
fof(f17312,plain,
( ~ spl52_582
| ~ spl52_30
| ~ spl52_102
| ~ spl52_255
| ~ spl52_334
| ~ spl52_345
| spl52_516 ),
inference(avatar_split_clause,[],[f17241,f14313,f5052,f3488,f2138,f1345,f1010,f17309]) ).
fof(f17309,plain,
( spl52_582
<=> e20 = op2(h1(e11),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_582])]) ).
fof(f1345,plain,
( spl52_102
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_102])]) ).
fof(f2138,plain,
( spl52_255
<=> h1(e10) = op2(e20,h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_255])]) ).
fof(f3488,plain,
( spl52_334
<=> e12 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_334])]) ).
fof(f14313,plain,
( spl52_516
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_516])]) ).
fof(f17241,plain,
( e20 != op2(h1(e11),e20)
| ~ spl52_30
| ~ spl52_102
| ~ spl52_255
| ~ spl52_334
| ~ spl52_345
| spl52_516 ),
inference(forward_demodulation,[],[f17240,f1012]) ).
fof(f17240,plain,
( h1(e12) != op2(h1(e11),e20)
| ~ spl52_102
| ~ spl52_255
| ~ spl52_334
| ~ spl52_345
| spl52_516 ),
inference(forward_demodulation,[],[f17122,f3490]) ).
fof(f3490,plain,
( e12 = op1(e11,e10)
| ~ spl52_334 ),
inference(avatar_component_clause,[],[f3488]) ).
fof(f17122,plain,
( h1(op1(e11,e10)) != op2(h1(e11),e20)
| ~ spl52_102
| ~ spl52_255
| ~ spl52_345
| spl52_516 ),
inference(forward_demodulation,[],[f14315,f5063]) ).
fof(f5063,plain,
( e20 = h1(e10)
| ~ spl52_102
| ~ spl52_255
| ~ spl52_345 ),
inference(forward_demodulation,[],[f5061,f1347]) ).
fof(f1347,plain,
( e20 = op2(e20,e22)
| ~ spl52_102 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f5061,plain,
( op2(e20,e22) = h1(e10)
| ~ spl52_255
| ~ spl52_345 ),
inference(superposition,[],[f2140,f5054]) ).
fof(f2140,plain,
( h1(e10) = op2(e20,h1(e13))
| ~ spl52_255 ),
inference(avatar_component_clause,[],[f2138]) ).
fof(f14315,plain,
( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| spl52_516 ),
inference(avatar_component_clause,[],[f14313]) ).
fof(f17306,plain,
( ~ spl52_581
| ~ spl52_345
| spl52_525
| ~ spl52_567 ),
inference(avatar_split_clause,[],[f17239,f15291,f14349,f5052,f17303]) ).
fof(f17303,plain,
( spl52_581
<=> e20 = op2(e22,h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_581])]) ).
fof(f14349,plain,
( spl52_525
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_525])]) ).
fof(f15291,plain,
( spl52_567
<=> e20 = h1(op1(e13,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_567])]) ).
fof(f17239,plain,
( e20 != op2(e22,h1(e11))
| ~ spl52_345
| spl52_525
| ~ spl52_567 ),
inference(forward_demodulation,[],[f17238,f15293]) ).
fof(f15293,plain,
( e20 = h1(op1(e13,e11))
| ~ spl52_567 ),
inference(avatar_component_clause,[],[f15291]) ).
fof(f17238,plain,
( h1(op1(e13,e11)) != op2(e22,h1(e11))
| ~ spl52_345
| spl52_525 ),
inference(forward_demodulation,[],[f14351,f5054]) ).
fof(f14351,plain,
( h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| spl52_525 ),
inference(avatar_component_clause,[],[f14349]) ).
fof(f17293,plain,
( ~ spl52_102
| ~ spl52_30
| ~ spl52_66
| ~ spl52_114
| ~ spl52_266
| ~ spl52_313
| spl52_549 ),
inference(avatar_split_clause,[],[f17274,f14599,f2734,f2218,f1402,f1172,f1010,f1345]) ).
fof(f1402,plain,
( spl52_114
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_114])]) ).
fof(f14599,plain,
( spl52_549
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_549])]) ).
fof(f17274,plain,
( e20 != op2(e20,e22)
| ~ spl52_30
| ~ spl52_66
| ~ spl52_114
| ~ spl52_266
| ~ spl52_313
| spl52_549 ),
inference(forward_demodulation,[],[f17273,f1012]) ).
fof(f17273,plain,
( op2(e20,e22) != h1(e12)
| ~ spl52_30
| ~ spl52_66
| ~ spl52_114
| ~ spl52_266
| ~ spl52_313
| spl52_549 ),
inference(forward_demodulation,[],[f17272,f1404]) ).
fof(f1404,plain,
( e12 = op1(e12,e11)
| ~ spl52_114 ),
inference(avatar_component_clause,[],[f1402]) ).
fof(f17272,plain,
( op2(e20,e22) != h1(op1(e12,e11))
| ~ spl52_30
| ~ spl52_66
| ~ spl52_266
| ~ spl52_313
| spl52_549 ),
inference(forward_demodulation,[],[f17257,f1012]) ).
fof(f17257,plain,
( h1(op1(e12,e11)) != op2(h1(e12),e22)
| ~ spl52_66
| ~ spl52_266
| ~ spl52_313
| spl52_549 ),
inference(forward_demodulation,[],[f14601,f17244]) ).
fof(f14601,plain,
( h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| spl52_549 ),
inference(avatar_component_clause,[],[f14599]) ).
fof(f17285,plain,
( spl52_248
| ~ spl52_30
| ~ spl52_66
| ~ spl52_266
| ~ spl52_313
| ~ spl52_338
| ~ spl52_547 ),
inference(avatar_split_clause,[],[f17252,f14591,f3607,f2734,f2218,f1172,f1010,f2102]) ).
fof(f2102,plain,
( spl52_248
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_248])]) ).
fof(f3607,plain,
( spl52_338
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_338])]) ).
fof(f14591,plain,
( spl52_547
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_547])]) ).
fof(f17252,plain,
( e20 = op2(e22,e20)
| ~ spl52_30
| ~ spl52_66
| ~ spl52_266
| ~ spl52_313
| ~ spl52_338
| ~ spl52_547 ),
inference(forward_demodulation,[],[f15609,f17244]) ).
fof(f15609,plain,
( e20 = op2(h1(e11),e20)
| ~ spl52_30
| ~ spl52_66
| ~ spl52_338
| ~ spl52_547 ),
inference(forward_demodulation,[],[f15608,f1173]) ).
fof(f15608,plain,
( h1(e10) = op2(h1(e11),e20)
| ~ spl52_30
| ~ spl52_338
| ~ spl52_547 ),
inference(forward_demodulation,[],[f14644,f3609]) ).
fof(f3609,plain,
( e10 = op1(e11,e12)
| ~ spl52_338 ),
inference(avatar_component_clause,[],[f3607]) ).
fof(f14644,plain,
( h1(op1(e11,e12)) = op2(h1(e11),e20)
| ~ spl52_30
| ~ spl52_547 ),
inference(forward_demodulation,[],[f14592,f1012]) ).
fof(f14592,plain,
( h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
| ~ spl52_547 ),
inference(avatar_component_clause,[],[f14591]) ).
fof(f17284,plain,
( ~ spl52_580
| ~ spl52_304
| spl52_570 ),
inference(avatar_split_clause,[],[f17237,f17138,f2552,f17281]) ).
fof(f17281,plain,
( spl52_580
<=> e21 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_580])]) ).
fof(f2552,plain,
( spl52_304
<=> e21 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_304])]) ).
fof(f17138,plain,
( spl52_570
<=> op2(e20,e23) = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_570])]) ).
fof(f17237,plain,
( e21 != h1(e11)
| ~ spl52_304
| spl52_570 ),
inference(forward_demodulation,[],[f17140,f2554]) ).
fof(f2554,plain,
( e21 = op2(e20,e23)
| ~ spl52_304 ),
inference(avatar_component_clause,[],[f2552]) ).
fof(f17140,plain,
( op2(e20,e23) != h1(e11)
| spl52_570 ),
inference(avatar_component_clause,[],[f17138]) ).
fof(f17271,plain,
( spl52_2
| ~ spl52_66
| ~ spl52_102
| ~ spl52_266
| ~ spl52_313
| ~ spl52_329
| ~ spl52_513 ),
inference(avatar_split_clause,[],[f17256,f14301,f3131,f2734,f2218,f1345,f1172,f870]) ).
fof(f870,plain,
( spl52_2
<=> e20 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_2])]) ).
fof(f14301,plain,
( spl52_513
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_513])]) ).
fof(f17256,plain,
( e20 = e22
| ~ spl52_66
| ~ spl52_102
| ~ spl52_266
| ~ spl52_313
| ~ spl52_329
| ~ spl52_513 ),
inference(forward_demodulation,[],[f17255,f1347]) ).
fof(f17255,plain,
( e22 = op2(e20,e22)
| ~ spl52_66
| ~ spl52_266
| ~ spl52_313
| ~ spl52_329
| ~ spl52_513 ),
inference(forward_demodulation,[],[f17254,f17244]) ).
fof(f17254,plain,
( op2(e20,e22) = h1(e11)
| ~ spl52_66
| ~ spl52_266
| ~ spl52_313
| ~ spl52_329
| ~ spl52_513 ),
inference(forward_demodulation,[],[f17253,f3133]) ).
fof(f17253,plain,
( op2(e20,e22) = h1(op1(e10,e11))
| ~ spl52_66
| ~ spl52_266
| ~ spl52_313
| ~ spl52_513 ),
inference(forward_demodulation,[],[f15619,f17244]) ).
fof(f15619,plain,
( h1(op1(e10,e11)) = op2(e20,h1(e11))
| ~ spl52_66
| ~ spl52_513 ),
inference(forward_demodulation,[],[f14302,f1173]) ).
fof(f14302,plain,
( h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
| ~ spl52_513 ),
inference(avatar_component_clause,[],[f14301]) ).
fof(f17236,plain,
( spl52_323
| ~ spl52_66
| ~ spl52_266
| ~ spl52_480 ),
inference(avatar_split_clause,[],[f17117,f13496,f2218,f1172,f3041]) ).
fof(f3041,plain,
( spl52_323
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_323])]) ).
fof(f17117,plain,
( e20 = op2(e20,e20)
| ~ spl52_66
| ~ spl52_266
| ~ spl52_480 ),
inference(forward_demodulation,[],[f8255,f13497]) ).
fof(f13497,plain,
( e20 = h1(e11)
| ~ spl52_480 ),
inference(avatar_component_clause,[],[f13496]) ).
fof(f17234,plain,
( spl52_400
| ~ spl52_345
| ~ spl52_579 ),
inference(avatar_split_clause,[],[f17227,f17217,f5052,f7989]) ).
fof(f7989,plain,
( spl52_400
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_400])]) ).
fof(f17217,plain,
( spl52_579
<=> e20 = op2(h1(e13),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_579])]) ).
fof(f17227,plain,
( e20 = op2(e22,e22)
| ~ spl52_345
| ~ spl52_579 ),
inference(forward_demodulation,[],[f17219,f5054]) ).
fof(f17219,plain,
( e20 = op2(h1(e13),h1(e13))
| ~ spl52_579 ),
inference(avatar_component_clause,[],[f17217]) ).
fof(f17230,plain,
( spl52_400
| ~ spl52_30
| ~ spl52_290
| ~ spl52_345
| ~ spl52_527 ),
inference(avatar_split_clause,[],[f17223,f14357,f5052,f2447,f1010,f7989]) ).
fof(f14357,plain,
( spl52_527
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_527])]) ).
fof(f17223,plain,
( e20 = op2(e22,e22)
| ~ spl52_30
| ~ spl52_290
| ~ spl52_345
| ~ spl52_527 ),
inference(forward_demodulation,[],[f17222,f1012]) ).
fof(f17222,plain,
( op2(e22,e22) = h1(e12)
| ~ spl52_290
| ~ spl52_345
| ~ spl52_527 ),
inference(forward_demodulation,[],[f17221,f2449]) ).
fof(f17221,plain,
( op2(e22,e22) = h1(op1(e13,e13))
| ~ spl52_345
| ~ spl52_527 ),
inference(forward_demodulation,[],[f14358,f5054]) ).
fof(f14358,plain,
( h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
| ~ spl52_527 ),
inference(avatar_component_clause,[],[f14357]) ).
fof(f17226,plain,
( ~ spl52_30
| ~ spl52_290
| spl52_555 ),
inference(avatar_split_clause,[],[f17225,f14894,f2447,f1010]) ).
fof(f14894,plain,
( spl52_555
<=> e20 = h1(op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_555])]) ).
fof(f17225,plain,
( e20 != h1(e12)
| ~ spl52_290
| spl52_555 ),
inference(forward_demodulation,[],[f14895,f2449]) ).
fof(f14895,plain,
( e20 != h1(op1(e13,e13))
| spl52_555 ),
inference(avatar_component_clause,[],[f14894]) ).
fof(f17220,plain,
( spl52_579
| ~ spl52_527
| ~ spl52_555 ),
inference(avatar_split_clause,[],[f15569,f14894,f14357,f17217]) ).
fof(f15569,plain,
( e20 = op2(h1(e13),h1(e13))
| ~ spl52_527
| ~ spl52_555 ),
inference(forward_demodulation,[],[f14358,f14896]) ).
fof(f14896,plain,
( e20 = h1(op1(e13,e13))
| ~ spl52_555 ),
inference(avatar_component_clause,[],[f14894]) ).
fof(f17213,plain,
( ~ spl52_578
| ~ spl52_112
| spl52_550 ),
inference(avatar_split_clause,[],[f15564,f14603,f1393,f17210]) ).
fof(f17210,plain,
( spl52_578
<=> h1(e13) = op2(h1(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_578])]) ).
fof(f14603,plain,
( spl52_550
<=> h1(op1(e13,e10)) = op2(h1(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_550])]) ).
fof(f15564,plain,
( h1(e13) != op2(h1(e13),e23)
| ~ spl52_112
| spl52_550 ),
inference(forward_demodulation,[],[f14605,f1395]) ).
fof(f14605,plain,
( h1(op1(e13,e10)) != op2(h1(e13),e23)
| spl52_550 ),
inference(avatar_component_clause,[],[f14603]) ).
fof(f17207,plain,
( ~ spl52_577
| ~ spl52_30
| ~ spl52_114
| spl52_521 ),
inference(avatar_split_clause,[],[f16580,f14333,f1402,f1010,f17204]) ).
fof(f17204,plain,
( spl52_577
<=> e20 = op2(e23,h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_577])]) ).
fof(f14333,plain,
( spl52_521
<=> h1(op1(e12,e11)) = op2(e23,h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_521])]) ).
fof(f16580,plain,
( e20 != op2(e23,h1(e11))
| ~ spl52_30
| ~ spl52_114
| spl52_521 ),
inference(forward_demodulation,[],[f16579,f1012]) ).
fof(f16579,plain,
( h1(e12) != op2(e23,h1(e11))
| ~ spl52_114
| spl52_521 ),
inference(forward_demodulation,[],[f14335,f1404]) ).
fof(f14335,plain,
( h1(op1(e12,e11)) != op2(e23,h1(e11))
| spl52_521 ),
inference(avatar_component_clause,[],[f14333]) ).
fof(f17201,plain,
( ~ spl52_576
| ~ spl52_30
| ~ spl52_294
| spl52_530 ),
inference(avatar_split_clause,[],[f16572,f14461,f2478,f1010,f17198]) ).
fof(f17198,plain,
( spl52_576
<=> e20 = op2(h1(e10),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_576])]) ).
fof(f2478,plain,
( spl52_294
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_294])]) ).
fof(f14461,plain,
( spl52_530
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_530])]) ).
fof(f16572,plain,
( e20 != op2(h1(e10),e20)
| ~ spl52_30
| ~ spl52_294
| spl52_530 ),
inference(forward_demodulation,[],[f16571,f1012]) ).
fof(f16571,plain,
( h1(e12) != op2(h1(e10),e20)
| ~ spl52_30
| ~ spl52_294
| spl52_530 ),
inference(forward_demodulation,[],[f16452,f2480]) ).
fof(f2480,plain,
( e12 = op1(e10,e12)
| ~ spl52_294 ),
inference(avatar_component_clause,[],[f2478]) ).
fof(f16452,plain,
( h1(op1(e10,e12)) != op2(h1(e10),e20)
| ~ spl52_30
| spl52_530 ),
inference(forward_demodulation,[],[f14463,f1012]) ).
fof(f14463,plain,
( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| spl52_530 ),
inference(avatar_component_clause,[],[f14461]) ).
fof(f17195,plain,
( ~ spl52_575
| ~ spl52_30
| ~ spl52_334
| spl52_546 ),
inference(avatar_split_clause,[],[f15615,f14587,f3488,f1010,f17192]) ).
fof(f17192,plain,
( spl52_575
<=> e20 = op2(h1(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_575])]) ).
fof(f14587,plain,
( spl52_546
<=> h1(op1(e11,e10)) = op2(h1(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_546])]) ).
fof(f15615,plain,
( e20 != op2(h1(e11),e23)
| ~ spl52_30
| ~ spl52_334
| spl52_546 ),
inference(forward_demodulation,[],[f15614,f1012]) ).
fof(f15614,plain,
( h1(e12) != op2(h1(e11),e23)
| ~ spl52_334
| spl52_546 ),
inference(forward_demodulation,[],[f14589,f3490]) ).
fof(f14589,plain,
( h1(op1(e11,e10)) != op2(h1(e11),e23)
| spl52_546 ),
inference(avatar_component_clause,[],[f14587]) ).
fof(f17188,plain,
( ~ spl52_574
| ~ spl52_58
| ~ spl52_69
| spl52_493 ),
inference(avatar_split_clause,[],[f15604,f14105,f1187,f1136,f17185]) ).
fof(f17185,plain,
( spl52_574
<=> e21 = op2(e23,h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_574])]) ).
fof(f1187,plain,
( spl52_69
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_69])]) ).
fof(f14105,plain,
( spl52_493
<=> h2(op1(e12,e13)) = op2(e23,h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_493])]) ).
fof(f15604,plain,
( e21 != op2(e23,h2(e13))
| ~ spl52_58
| ~ spl52_69
| spl52_493 ),
inference(forward_demodulation,[],[f15603,f1137]) ).
fof(f15603,plain,
( h2(e10) != op2(e23,h2(e13))
| ~ spl52_69
| spl52_493 ),
inference(forward_demodulation,[],[f14107,f1189]) ).
fof(f1189,plain,
( e10 = op1(e12,e13)
| ~ spl52_69 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f14107,plain,
( h2(op1(e12,e13)) != op2(e23,h2(e13))
| spl52_493 ),
inference(avatar_component_clause,[],[f14105]) ).
fof(f17181,plain,
( ~ spl52_573
| ~ spl52_31
| ~ spl52_114
| spl52_491 ),
inference(avatar_split_clause,[],[f15601,f14097,f1402,f1015,f17178]) ).
fof(f17178,plain,
( spl52_573
<=> e21 = op2(e23,h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_573])]) ).
fof(f14097,plain,
( spl52_491
<=> h2(op1(e12,e11)) = op2(e23,h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_491])]) ).
fof(f15601,plain,
( e21 != op2(e23,h2(e11))
| ~ spl52_31
| ~ spl52_114
| spl52_491 ),
inference(forward_demodulation,[],[f15600,f1017]) ).
fof(f15600,plain,
( h2(e12) != op2(e23,h2(e11))
| ~ spl52_114
| spl52_491 ),
inference(forward_demodulation,[],[f14099,f1404]) ).
fof(f14099,plain,
( h2(op1(e12,e11)) != op2(e23,h2(e11))
| spl52_491 ),
inference(avatar_component_clause,[],[f14097]) ).
fof(f17172,plain,
( ~ spl52_86
| ~ spl52_31
| ~ spl52_58
| ~ spl52_318
| ~ spl52_321
| ~ spl52_334
| spl52_486 ),
inference(avatar_split_clause,[],[f17166,f14077,f3488,f2914,f2896,f1136,f1015,f1270]) ).
fof(f14077,plain,
( spl52_486
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_486])]) ).
fof(f17166,plain,
( e21 != op2(e21,e21)
| ~ spl52_31
| ~ spl52_58
| ~ spl52_318
| ~ spl52_321
| ~ spl52_334
| spl52_486 ),
inference(forward_demodulation,[],[f15595,f4453]) ).
fof(f15595,plain,
( e21 != op2(h2(e11),e21)
| ~ spl52_31
| ~ spl52_58
| ~ spl52_334
| spl52_486 ),
inference(forward_demodulation,[],[f15594,f1017]) ).
fof(f15594,plain,
( h2(e12) != op2(h2(e11),e21)
| ~ spl52_58
| ~ spl52_334
| spl52_486 ),
inference(forward_demodulation,[],[f14164,f3490]) ).
fof(f14164,plain,
( h2(op1(e11,e10)) != op2(h2(e11),e21)
| ~ spl52_58
| spl52_486 ),
inference(forward_demodulation,[],[f14079,f1137]) ).
fof(f14079,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| spl52_486 ),
inference(avatar_component_clause,[],[f14077]) ).
fof(f17165,plain,
( ~ spl52_86
| ~ spl52_318
| ~ spl52_321
| spl52_572 ),
inference(avatar_split_clause,[],[f17164,f17160,f2914,f2896,f1270]) ).
fof(f17160,plain,
( spl52_572
<=> e21 = op2(h2(e11),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_572])]) ).
fof(f17164,plain,
( e21 != op2(e21,e21)
| ~ spl52_318
| ~ spl52_321
| spl52_572 ),
inference(forward_demodulation,[],[f17162,f4453]) ).
fof(f17162,plain,
( e21 != op2(h2(e11),e21)
| spl52_572 ),
inference(avatar_component_clause,[],[f17160]) ).
fof(f17163,plain,
( ~ spl52_572
| ~ spl52_31
| ~ spl52_58
| ~ spl52_338
| spl52_504 ),
inference(avatar_split_clause,[],[f15589,f14208,f3607,f1136,f1015,f17160]) ).
fof(f14208,plain,
( spl52_504
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_504])]) ).
fof(f15589,plain,
( e21 != op2(h2(e11),e21)
| ~ spl52_31
| ~ spl52_58
| ~ spl52_338
| spl52_504 ),
inference(forward_demodulation,[],[f15588,f1137]) ).
fof(f15588,plain,
( h2(e10) != op2(h2(e11),e21)
| ~ spl52_31
| ~ spl52_338
| spl52_504 ),
inference(forward_demodulation,[],[f14263,f3609]) ).
fof(f14263,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e21)
| ~ spl52_31
| spl52_504 ),
inference(forward_demodulation,[],[f14210,f1017]) ).
fof(f14210,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl52_504 ),
inference(avatar_component_clause,[],[f14208]) ).
fof(f17157,plain,
( ~ spl52_571
| ~ spl52_31
| ~ spl52_334
| spl52_503 ),
inference(avatar_split_clause,[],[f15587,f14204,f3488,f1015,f17154]) ).
fof(f17154,plain,
( spl52_571
<=> e21 = op2(h2(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_571])]) ).
fof(f14204,plain,
( spl52_503
<=> h2(op1(e11,e10)) = op2(h2(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_503])]) ).
fof(f15587,plain,
( e21 != op2(h2(e11),e23)
| ~ spl52_31
| ~ spl52_334
| spl52_503 ),
inference(forward_demodulation,[],[f15586,f1017]) ).
fof(f15586,plain,
( h2(e12) != op2(h2(e11),e23)
| ~ spl52_334
| spl52_503 ),
inference(forward_demodulation,[],[f14206,f3490]) ).
fof(f14206,plain,
( h2(op1(e11,e10)) != op2(h2(e11),e23)
| spl52_503 ),
inference(avatar_component_clause,[],[f14204]) ).
fof(f17148,plain,
( ~ spl52_70
| ~ spl52_350
| spl52_560 ),
inference(avatar_split_clause,[],[f17147,f14958,f6152,f1192]) ).
fof(f6152,plain,
( spl52_350
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_350])]) ).
fof(f14958,plain,
( spl52_560
<=> e21 = h2(op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_560])]) ).
fof(f17147,plain,
( e21 != h2(e13)
| ~ spl52_350
| spl52_560 ),
inference(forward_demodulation,[],[f14960,f6154]) ).
fof(f6154,plain,
( e13 = op1(e10,e13)
| ~ spl52_350 ),
inference(avatar_component_clause,[],[f6152]) ).
fof(f14960,plain,
( e21 != h2(op1(e10,e13))
| spl52_560 ),
inference(avatar_component_clause,[],[f14958]) ).
fof(f17146,plain,
( ~ spl52_560
| ~ spl52_58
| ~ spl52_256
| spl52_485 ),
inference(avatar_split_clause,[],[f15579,f14073,f2143,f1136,f14958]) ).
fof(f2143,plain,
( spl52_256
<=> h2(e10) = op2(e21,h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_256])]) ).
fof(f14073,plain,
( spl52_485
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_485])]) ).
fof(f15579,plain,
( e21 != h2(op1(e10,e13))
| ~ spl52_58
| ~ spl52_256
| spl52_485 ),
inference(forward_demodulation,[],[f15578,f1137]) ).
fof(f15578,plain,
( h2(e10) != h2(op1(e10,e13))
| ~ spl52_58
| ~ spl52_256
| spl52_485 ),
inference(forward_demodulation,[],[f15577,f2145]) ).
fof(f2145,plain,
( h2(e10) = op2(e21,h2(e13))
| ~ spl52_256 ),
inference(avatar_component_clause,[],[f2143]) ).
fof(f15577,plain,
( h2(op1(e10,e13)) != op2(e21,h2(e13))
| ~ spl52_58
| spl52_485 ),
inference(forward_demodulation,[],[f14075,f1137]) ).
fof(f14075,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl52_485 ),
inference(avatar_component_clause,[],[f14073]) ).
fof(f17143,plain,
( ~ spl52_310
| ~ spl52_46
| spl52_412 ),
inference(avatar_split_clause,[],[f10352,f8948,f1082,f2609]) ).
fof(f2609,plain,
( spl52_310
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_310])]) ).
fof(f1082,plain,
( spl52_46
<=> e21 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_46])]) ).
fof(f8948,plain,
( spl52_412
<=> e20 = op2(h4(e10),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_412])]) ).
fof(f10352,plain,
( e20 != op2(e21,e22)
| ~ spl52_46
| spl52_412 ),
inference(superposition,[],[f8950,f1083]) ).
fof(f1083,plain,
( e21 = h4(e10)
| ~ spl52_46 ),
inference(avatar_component_clause,[],[f1082]) ).
fof(f8950,plain,
( e20 != op2(h4(e10),e22)
| spl52_412 ),
inference(avatar_component_clause,[],[f8948]) ).
fof(f17141,plain,
( ~ spl52_570
| ~ spl52_30
| ~ spl52_259
| spl52_548 ),
inference(avatar_split_clause,[],[f14619,f14595,f2170,f1010,f17138]) ).
fof(f2170,plain,
( spl52_259
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_259])]) ).
fof(f14595,plain,
( spl52_548
<=> h1(op1(e12,e10)) = op2(h1(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_548])]) ).
fof(f14619,plain,
( op2(e20,e23) != h1(e11)
| ~ spl52_30
| ~ spl52_259
| spl52_548 ),
inference(forward_demodulation,[],[f14618,f2172]) ).
fof(f2172,plain,
( e11 = op1(e12,e10)
| ~ spl52_259 ),
inference(avatar_component_clause,[],[f2170]) ).
fof(f14618,plain,
( op2(e20,e23) != h1(op1(e12,e10))
| ~ spl52_30
| spl52_548 ),
inference(forward_demodulation,[],[f14597,f1012]) ).
fof(f14597,plain,
( h1(op1(e12,e10)) != op2(h1(e12),e23)
| spl52_548 ),
inference(avatar_component_clause,[],[f14595]) ).
fof(f17135,plain,
( ~ spl52_569
| ~ spl52_31
| ~ spl52_259
| spl52_505 ),
inference(avatar_split_clause,[],[f14260,f14212,f2170,f1015,f17132]) ).
fof(f17132,plain,
( spl52_569
<=> op2(e21,e23) = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_569])]) ).
fof(f14212,plain,
( spl52_505
<=> h2(op1(e12,e10)) = op2(h2(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_505])]) ).
fof(f14260,plain,
( op2(e21,e23) != h2(e11)
| ~ spl52_31
| ~ spl52_259
| spl52_505 ),
inference(forward_demodulation,[],[f14259,f2172]) ).
fof(f14259,plain,
( op2(e21,e23) != h2(op1(e12,e10))
| ~ spl52_31
| spl52_505 ),
inference(forward_demodulation,[],[f14214,f1017]) ).
fof(f14214,plain,
( h2(op1(e12,e10)) != op2(h2(e12),e23)
| spl52_505 ),
inference(avatar_component_clause,[],[f14212]) ).
fof(f17130,plain,
( spl52_298
| ~ spl52_29
| ~ spl52_46
| ~ spl52_294
| ~ spl52_372 ),
inference(avatar_split_clause,[],[f17074,f7600,f2478,f1082,f1005,f2504]) ).
fof(f2504,plain,
( spl52_298
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_298])]) ).
fof(f1005,plain,
( spl52_29
<=> e23 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_29])]) ).
fof(f7600,plain,
( spl52_372
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_372])]) ).
fof(f17074,plain,
( e23 = op2(e21,e23)
| ~ spl52_29
| ~ spl52_46
| ~ spl52_294
| ~ spl52_372 ),
inference(forward_demodulation,[],[f17073,f1007]) ).
fof(f1007,plain,
( e23 = h4(e12)
| ~ spl52_29 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f17073,plain,
( op2(e21,e23) = h4(e12)
| ~ spl52_29
| ~ spl52_46
| ~ spl52_294
| ~ spl52_372 ),
inference(forward_demodulation,[],[f17072,f2480]) ).
fof(f17072,plain,
( op2(e21,e23) = h4(op1(e10,e12))
| ~ spl52_29
| ~ spl52_46
| ~ spl52_372 ),
inference(forward_demodulation,[],[f16904,f1083]) ).
fof(f16904,plain,
( h4(op1(e10,e12)) = op2(h4(e10),e23)
| ~ spl52_29
| ~ spl52_372 ),
inference(forward_demodulation,[],[f7601,f1007]) ).
fof(f7601,plain,
( h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
| ~ spl52_372 ),
inference(avatar_component_clause,[],[f7600]) ).
fof(f17126,plain,
( spl52_248
| ~ spl52_345
| ~ spl52_480
| ~ spl52_525
| ~ spl52_567 ),
inference(avatar_split_clause,[],[f16936,f15291,f14349,f13496,f5052,f2102]) ).
fof(f16936,plain,
( e20 = op2(e22,e20)
| ~ spl52_345
| ~ spl52_480
| ~ spl52_525
| ~ spl52_567 ),
inference(forward_demodulation,[],[f16935,f15293]) ).
fof(f16935,plain,
( op2(e22,e20) = h1(op1(e13,e11))
| ~ spl52_345
| ~ spl52_480
| ~ spl52_525 ),
inference(forward_demodulation,[],[f16915,f5054]) ).
fof(f16915,plain,
( h1(op1(e13,e11)) = op2(h1(e13),e20)
| ~ spl52_480
| ~ spl52_525 ),
inference(forward_demodulation,[],[f14350,f13497]) ).
fof(f14350,plain,
( h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
| ~ spl52_525 ),
inference(avatar_component_clause,[],[f14349]) ).
fof(f17118,plain,
( spl52_323
| ~ spl52_30
| ~ spl52_102
| ~ spl52_255
| ~ spl52_334
| ~ spl52_345
| ~ spl52_480
| ~ spl52_516 ),
inference(avatar_split_clause,[],[f16921,f14313,f13496,f5052,f3488,f2138,f1345,f1010,f3041]) ).
fof(f16921,plain,
( e20 = op2(e20,e20)
| ~ spl52_30
| ~ spl52_102
| ~ spl52_255
| ~ spl52_334
| ~ spl52_345
| ~ spl52_480
| ~ spl52_516 ),
inference(forward_demodulation,[],[f16920,f1012]) ).
fof(f16920,plain,
( op2(e20,e20) = h1(e12)
| ~ spl52_102
| ~ spl52_255
| ~ spl52_334
| ~ spl52_345
| ~ spl52_480
| ~ spl52_516 ),
inference(forward_demodulation,[],[f16919,f3490]) ).
fof(f16919,plain,
( op2(e20,e20) = h1(op1(e11,e10))
| ~ spl52_102
| ~ spl52_255
| ~ spl52_345
| ~ spl52_480
| ~ spl52_516 ),
inference(forward_demodulation,[],[f16609,f13497]) ).
fof(f16609,plain,
( h1(op1(e11,e10)) = op2(h1(e11),e20)
| ~ spl52_102
| ~ spl52_255
| ~ spl52_345
| ~ spl52_516 ),
inference(forward_demodulation,[],[f14314,f5063]) ).
fof(f14314,plain,
( h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
| ~ spl52_516 ),
inference(avatar_component_clause,[],[f14313]) ).
fof(f17071,plain,
( spl52_314
| ~ spl52_46
| ~ spl52_67
| ~ spl52_338
| ~ spl52_346
| ~ spl52_361
| ~ spl52_400 ),
inference(avatar_split_clause,[],[f16891,f7989,f7464,f5149,f3607,f1177,f1082,f2739]) ).
fof(f2739,plain,
( spl52_314
<=> op2(e20,e20) = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_314])]) ).
fof(f5149,plain,
( spl52_346
<=> e20 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_346])]) ).
fof(f7464,plain,
( spl52_361
<=> h4(op1(e11,e12)) = op2(h4(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_361])]) ).
fof(f16891,plain,
( op2(e20,e20) = e21
| ~ spl52_46
| ~ spl52_67
| ~ spl52_338
| ~ spl52_346
| ~ spl52_361
| ~ spl52_400 ),
inference(forward_demodulation,[],[f16890,f1083]) ).
fof(f16890,plain,
( op2(e20,e20) = h4(e10)
| ~ spl52_67
| ~ spl52_338
| ~ spl52_346
| ~ spl52_361
| ~ spl52_400 ),
inference(forward_demodulation,[],[f16889,f3609]) ).
fof(f16889,plain,
( op2(e20,e20) = h4(op1(e11,e12))
| ~ spl52_67
| ~ spl52_346
| ~ spl52_361
| ~ spl52_400 ),
inference(forward_demodulation,[],[f16888,f5151]) ).
fof(f5151,plain,
( e20 = h4(e11)
| ~ spl52_346 ),
inference(avatar_component_clause,[],[f5149]) ).
fof(f16888,plain,
( h4(op1(e11,e12)) = op2(h4(e11),e20)
| ~ spl52_67
| ~ spl52_361
| ~ spl52_400 ),
inference(forward_demodulation,[],[f7465,f7993]) ).
fof(f7993,plain,
( e20 = e23
| ~ spl52_67
| ~ spl52_400 ),
inference(superposition,[],[f7991,f1179]) ).
fof(f7991,plain,
( e20 = op2(e22,e22)
| ~ spl52_400 ),
inference(avatar_component_clause,[],[f7989]) ).
fof(f7465,plain,
( h4(op1(e11,e12)) = op2(h4(e11),e23)
| ~ spl52_361 ),
inference(avatar_component_clause,[],[f7464]) ).
fof(f17059,plain,
( ~ spl52_86
| ~ spl52_31
| ~ spl52_114
| ~ spl52_318
| ~ spl52_321
| spl52_506 ),
inference(avatar_split_clause,[],[f16831,f14216,f2914,f2896,f1402,f1015,f1270]) ).
fof(f14216,plain,
( spl52_506
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_506])]) ).
fof(f16831,plain,
( e21 != op2(e21,e21)
| ~ spl52_31
| ~ spl52_114
| ~ spl52_318
| ~ spl52_321
| spl52_506 ),
inference(forward_demodulation,[],[f16830,f1017]) ).
fof(f16830,plain,
( op2(e21,e21) != h2(e12)
| ~ spl52_31
| ~ spl52_114
| ~ spl52_318
| ~ spl52_321
| spl52_506 ),
inference(forward_demodulation,[],[f16829,f1404]) ).
fof(f16829,plain,
( op2(e21,e21) != h2(op1(e12,e11))
| ~ spl52_31
| ~ spl52_318
| ~ spl52_321
| spl52_506 ),
inference(forward_demodulation,[],[f16828,f1017]) ).
fof(f16828,plain,
( h2(op1(e12,e11)) != op2(h2(e12),e21)
| ~ spl52_318
| ~ spl52_321
| spl52_506 ),
inference(forward_demodulation,[],[f14218,f4453]) ).
fof(f14218,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl52_506 ),
inference(avatar_component_clause,[],[f14216]) ).
fof(f17052,plain,
( spl52_2
| ~ spl52_46
| ~ spl52_301
| ~ spl52_312
| ~ spl52_417 ),
inference(avatar_split_clause,[],[f17041,f9065,f2619,f2522,f1082,f870]) ).
fof(f2522,plain,
( spl52_301
<=> e22 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_301])]) ).
fof(f2619,plain,
( spl52_312
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_312])]) ).
fof(f9065,plain,
( spl52_417
<=> h4(e13) = op2(h4(e10),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_417])]) ).
fof(f17041,plain,
( e20 = e22
| ~ spl52_46
| ~ spl52_301
| ~ spl52_312
| ~ spl52_417 ),
inference(forward_demodulation,[],[f14915,f2620]) ).
fof(f2620,plain,
( e20 = op2(e21,e20)
| ~ spl52_312 ),
inference(avatar_component_clause,[],[f2619]) ).
fof(f14915,plain,
( e22 = op2(e21,e20)
| ~ spl52_46
| ~ spl52_301
| ~ spl52_417 ),
inference(forward_demodulation,[],[f14914,f2524]) ).
fof(f2524,plain,
( e22 = h4(e13)
| ~ spl52_301 ),
inference(avatar_component_clause,[],[f2522]) ).
fof(f14914,plain,
( op2(e21,e20) = h4(e13)
| ~ spl52_46
| ~ spl52_417 ),
inference(forward_demodulation,[],[f9066,f1083]) ).
fof(f9066,plain,
( h4(e13) = op2(h4(e10),e20)
| ~ spl52_417 ),
inference(avatar_component_clause,[],[f9065]) ).
fof(f17040,plain,
( spl52_322
| ~ spl52_46
| ~ spl52_301
| ~ spl52_346
| ~ spl52_437 ),
inference(avatar_split_clause,[],[f14919,f10340,f5149,f2522,f1082,f3020]) ).
fof(f3020,plain,
( spl52_322
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_322])]) ).
fof(f10340,plain,
( spl52_437
<=> h4(e13) = op2(h4(e10),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_437])]) ).
fof(f14919,plain,
( e22 = op2(e21,e20)
| ~ spl52_46
| ~ spl52_301
| ~ spl52_346
| ~ spl52_437 ),
inference(forward_demodulation,[],[f14918,f2524]) ).
fof(f14918,plain,
( op2(e21,e20) = h4(e13)
| ~ spl52_46
| ~ spl52_346
| ~ spl52_437 ),
inference(forward_demodulation,[],[f14917,f1083]) ).
fof(f14917,plain,
( h4(e13) = op2(h4(e10),e20)
| ~ spl52_346
| ~ spl52_437 ),
inference(forward_demodulation,[],[f10341,f5151]) ).
fof(f10341,plain,
( h4(e13) = op2(h4(e10),h4(e11))
| ~ spl52_437 ),
inference(avatar_component_clause,[],[f10340]) ).
fof(f17035,plain,
( ~ spl52_86
| ~ spl52_58
| ~ spl52_103
| spl52_482 ),
inference(avatar_split_clause,[],[f14182,f14061,f1350,f1136,f1270]) ).
fof(f1350,plain,
( spl52_103
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_103])]) ).
fof(f14061,plain,
( spl52_482
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_482])]) ).
fof(f14182,plain,
( e21 != op2(e21,e21)
| ~ spl52_58
| ~ spl52_103
| spl52_482 ),
inference(forward_demodulation,[],[f14181,f1137]) ).
fof(f14181,plain,
( op2(e21,e21) != h2(e10)
| ~ spl52_58
| ~ spl52_103
| spl52_482 ),
inference(forward_demodulation,[],[f14180,f1352]) ).
fof(f1352,plain,
( e10 = op1(e10,e10)
| ~ spl52_103 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f14180,plain,
( op2(e21,e21) != h2(op1(e10,e10))
| ~ spl52_58
| spl52_482 ),
inference(forward_demodulation,[],[f14063,f1137]) ).
fof(f14063,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| spl52_482 ),
inference(avatar_component_clause,[],[f14061]) ).
fof(f16984,plain,
( spl52_476
| ~ spl52_54
| ~ spl52_270
| ~ spl52_312
| ~ spl52_334
| ~ spl52_388 ),
inference(avatar_split_clause,[],[f15994,f7722,f3488,f2619,f2244,f1118,f11889]) ).
fof(f11889,plain,
( spl52_476
<=> e20 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_476])]) ).
fof(f1118,plain,
( spl52_54
<=> e20 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_54])]) ).
fof(f2244,plain,
( spl52_270
<=> e21 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_270])]) ).
fof(f7722,plain,
( spl52_388
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_388])]) ).
fof(f15994,plain,
( e20 = h3(e12)
| ~ spl52_54
| ~ spl52_270
| ~ spl52_312
| ~ spl52_334
| ~ spl52_388 ),
inference(forward_demodulation,[],[f10741,f3490]) ).
fof(f10741,plain,
( e20 = h3(op1(e11,e10))
| ~ spl52_54
| ~ spl52_270
| ~ spl52_312
| ~ spl52_388 ),
inference(forward_demodulation,[],[f9447,f2620]) ).
fof(f9447,plain,
( op2(e21,e20) = h3(op1(e11,e10))
| ~ spl52_54
| ~ spl52_270
| ~ spl52_388 ),
inference(forward_demodulation,[],[f9446,f2246]) ).
fof(f2246,plain,
( e21 = h3(e11)
| ~ spl52_270 ),
inference(avatar_component_clause,[],[f2244]) ).
fof(f9446,plain,
( h3(op1(e11,e10)) = op2(h3(e11),e20)
| ~ spl52_54
| ~ spl52_388 ),
inference(forward_demodulation,[],[f7723,f1119]) ).
fof(f1119,plain,
( e20 = h3(e10)
| ~ spl52_54 ),
inference(avatar_component_clause,[],[f1118]) ).
fof(f7723,plain,
( h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
| ~ spl52_388 ),
inference(avatar_component_clause,[],[f7722]) ).
fof(f16982,plain,
( ~ spl52_476
| ~ spl52_32
| ~ spl52_54
| ~ spl52_102
| ~ spl52_294
| spl52_386 ),
inference(avatar_split_clause,[],[f16946,f7714,f2478,f1345,f1118,f1020,f11889]) ).
fof(f1020,plain,
( spl52_32
<=> e22 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_32])]) ).
fof(f7714,plain,
( spl52_386
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_386])]) ).
fof(f16946,plain,
( e20 != h3(e12)
| ~ spl52_32
| ~ spl52_54
| ~ spl52_102
| ~ spl52_294
| spl52_386 ),
inference(forward_demodulation,[],[f12913,f2480]) ).
fof(f12913,plain,
( e20 != h3(op1(e10,e12))
| ~ spl52_32
| ~ spl52_54
| ~ spl52_102
| spl52_386 ),
inference(forward_demodulation,[],[f12438,f1347]) ).
fof(f12438,plain,
( op2(e20,e22) != h3(op1(e10,e12))
| ~ spl52_32
| ~ spl52_54
| spl52_386 ),
inference(forward_demodulation,[],[f12437,f1119]) ).
fof(f12437,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e22)
| ~ spl52_32
| spl52_386 ),
inference(forward_demodulation,[],[f7716,f1022]) ).
fof(f1022,plain,
( e22 = h3(e12)
| ~ spl52_32 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f7716,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl52_386 ),
inference(avatar_component_clause,[],[f7714]) ).
fof(f16944,plain,
( spl52_285
| ~ spl52_32
| ~ spl52_54
| ~ spl52_294
| ~ spl52_386 ),
inference(avatar_split_clause,[],[f13832,f7714,f2478,f1118,f1020,f2420]) ).
fof(f2420,plain,
( spl52_285
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_285])]) ).
fof(f13832,plain,
( e22 = op2(e20,e22)
| ~ spl52_32
| ~ spl52_54
| ~ spl52_294
| ~ spl52_386 ),
inference(forward_demodulation,[],[f13831,f1022]) ).
fof(f13831,plain,
( op2(e20,e22) = h3(e12)
| ~ spl52_32
| ~ spl52_54
| ~ spl52_294
| ~ spl52_386 ),
inference(forward_demodulation,[],[f13830,f2480]) ).
fof(f13830,plain,
( op2(e20,e22) = h3(op1(e10,e12))
| ~ spl52_32
| ~ spl52_54
| ~ spl52_386 ),
inference(forward_demodulation,[],[f13829,f1119]) ).
fof(f13829,plain,
( h3(op1(e10,e12)) = op2(h3(e10),e22)
| ~ spl52_32
| ~ spl52_386 ),
inference(forward_demodulation,[],[f7715,f1022]) ).
fof(f7715,plain,
( h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
| ~ spl52_386 ),
inference(avatar_component_clause,[],[f7714]) ).
fof(f16942,plain,
( spl52_324
| ~ spl52_29
| ~ spl52_46
| ~ spl52_334
| ~ spl52_346
| ~ spl52_359 ),
inference(avatar_split_clause,[],[f12722,f7456,f5149,f3488,f1082,f1005,f3087]) ).
fof(f3087,plain,
( spl52_324
<=> e23 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_324])]) ).
fof(f7456,plain,
( spl52_359
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_359])]) ).
fof(f12722,plain,
( e23 = op2(e20,e21)
| ~ spl52_29
| ~ spl52_46
| ~ spl52_334
| ~ spl52_346
| ~ spl52_359 ),
inference(forward_demodulation,[],[f12721,f1007]) ).
fof(f12721,plain,
( op2(e20,e21) = h4(e12)
| ~ spl52_46
| ~ spl52_334
| ~ spl52_346
| ~ spl52_359 ),
inference(forward_demodulation,[],[f12720,f3490]) ).
fof(f12720,plain,
( op2(e20,e21) = h4(op1(e11,e10))
| ~ spl52_46
| ~ spl52_346
| ~ spl52_359 ),
inference(forward_demodulation,[],[f12719,f5151]) ).
fof(f12719,plain,
( h4(op1(e11,e10)) = op2(h4(e11),e21)
| ~ spl52_46
| ~ spl52_359 ),
inference(forward_demodulation,[],[f7457,f1083]) ).
fof(f7457,plain,
( h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
| ~ spl52_359 ),
inference(avatar_component_clause,[],[f7456]) ).
fof(f16941,plain,
( spl52_286
| ~ spl52_46
| ~ spl52_301
| ~ spl52_358
| ~ spl52_460 ),
inference(avatar_split_clause,[],[f12591,f10978,f7452,f2522,f1082,f2424]) ).
fof(f2424,plain,
( spl52_286
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_286])]) ).
fof(f7452,plain,
( spl52_358
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_358])]) ).
fof(f10978,plain,
( spl52_460
<=> e22 = h4(op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_460])]) ).
fof(f12591,plain,
( e22 = op2(e21,e22)
| ~ spl52_46
| ~ spl52_301
| ~ spl52_358
| ~ spl52_460 ),
inference(forward_demodulation,[],[f12590,f10979]) ).
fof(f10979,plain,
( e22 = h4(op1(e10,e13))
| ~ spl52_460 ),
inference(avatar_component_clause,[],[f10978]) ).
fof(f12590,plain,
( op2(e21,e22) = h4(op1(e10,e13))
| ~ spl52_46
| ~ spl52_301
| ~ spl52_358 ),
inference(forward_demodulation,[],[f12589,f1083]) ).
fof(f12589,plain,
( h4(op1(e10,e13)) = op2(h4(e10),e22)
| ~ spl52_301
| ~ spl52_358 ),
inference(forward_demodulation,[],[f7453,f2524]) ).
fof(f7453,plain,
( h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
| ~ spl52_358 ),
inference(avatar_component_clause,[],[f7452]) ).
fof(f16940,plain,
( spl52_312
| ~ spl52_46
| ~ spl52_414 ),
inference(avatar_split_clause,[],[f10382,f9014,f1082,f2619]) ).
fof(f9014,plain,
( spl52_414
<=> e20 = op2(h4(e10),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_414])]) ).
fof(f10382,plain,
( e20 = op2(e21,e20)
| ~ spl52_46
| ~ spl52_414 ),
inference(forward_demodulation,[],[f9015,f1083]) ).
fof(f9015,plain,
( e20 = op2(h4(e10),e20)
| ~ spl52_414 ),
inference(avatar_component_clause,[],[f9014]) ).
fof(f16934,plain,
( spl52_2
| ~ spl52_102
| ~ spl52_112
| ~ spl52_255
| ~ spl52_345
| ~ spl52_480
| ~ spl52_524
| ~ spl52_525
| ~ spl52_567 ),
inference(avatar_split_clause,[],[f16933,f15291,f14349,f14345,f13496,f5052,f2138,f1393,f1345,f870]) ).
fof(f14345,plain,
( spl52_524
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_524])]) ).
fof(f16933,plain,
( e20 = e22
| ~ spl52_102
| ~ spl52_112
| ~ spl52_255
| ~ spl52_345
| ~ spl52_480
| ~ spl52_524
| ~ spl52_525
| ~ spl52_567 ),
inference(forward_demodulation,[],[f5054,f16917]) ).
fof(f16917,plain,
( e20 = h1(e13)
| ~ spl52_102
| ~ spl52_112
| ~ spl52_255
| ~ spl52_345
| ~ spl52_480
| ~ spl52_524
| ~ spl52_525
| ~ spl52_567 ),
inference(forward_demodulation,[],[f16916,f15293]) ).
fof(f16916,plain,
( h1(e13) = h1(op1(e13,e11))
| ~ spl52_102
| ~ spl52_112
| ~ spl52_255
| ~ spl52_345
| ~ spl52_480
| ~ spl52_524
| ~ spl52_525 ),
inference(forward_demodulation,[],[f16915,f16636]) ).
fof(f16636,plain,
( h1(e13) = op2(h1(e13),e20)
| ~ spl52_102
| ~ spl52_112
| ~ spl52_255
| ~ spl52_345
| ~ spl52_524 ),
inference(forward_demodulation,[],[f16613,f1395]) ).
fof(f16613,plain,
( h1(op1(e13,e10)) = op2(h1(e13),e20)
| ~ spl52_102
| ~ spl52_255
| ~ spl52_345
| ~ spl52_524 ),
inference(forward_demodulation,[],[f14346,f5063]) ).
fof(f14346,plain,
( h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
| ~ spl52_524 ),
inference(avatar_component_clause,[],[f14345]) ).
fof(f16932,plain,
( spl52_345
| ~ spl52_327
| ~ spl52_352
| ~ spl52_532 ),
inference(avatar_split_clause,[],[f16855,f14469,f6191,f3104,f5052]) ).
fof(f3104,plain,
( spl52_327
<=> e22 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_327])]) ).
fof(f14469,plain,
( spl52_532
<=> op2(e23,e23) = h1(op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_532])]) ).
fof(f16855,plain,
( e22 = h1(e13)
| ~ spl52_327
| ~ spl52_352
| ~ spl52_532 ),
inference(forward_demodulation,[],[f16815,f3106]) ).
fof(f3106,plain,
( e22 = op2(e23,e23)
| ~ spl52_327 ),
inference(avatar_component_clause,[],[f3104]) ).
fof(f16815,plain,
( op2(e23,e23) = h1(e13)
| ~ spl52_352
| ~ spl52_532 ),
inference(forward_demodulation,[],[f14470,f6193]) ).
fof(f14470,plain,
( op2(e23,e23) = h1(op1(e11,e11))
| ~ spl52_532 ),
inference(avatar_component_clause,[],[f14469]) ).
fof(f16914,plain,
( spl52_77
| ~ spl52_30
| ~ spl52_102
| ~ spl52_112
| ~ spl52_114
| ~ spl52_255
| ~ spl52_329
| ~ spl52_345
| ~ spl52_513
| ~ spl52_524
| ~ spl52_525
| ~ spl52_549
| ~ spl52_567 ),
inference(avatar_split_clause,[],[f16647,f15291,f14599,f14349,f14345,f14301,f5052,f3131,f2138,f1402,f1393,f1345,f1010,f1224]) ).
fof(f1224,plain,
( spl52_77
<=> e20 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_77])]) ).
fof(f16647,plain,
( e20 = h1(e13)
| ~ spl52_30
| ~ spl52_102
| ~ spl52_112
| ~ spl52_114
| ~ spl52_255
| ~ spl52_329
| ~ spl52_345
| ~ spl52_513
| ~ spl52_524
| ~ spl52_525
| ~ spl52_549
| ~ spl52_567 ),
inference(forward_demodulation,[],[f16646,f15293]) ).
fof(f16646,plain,
( h1(e13) = h1(op1(e13,e11))
| ~ spl52_30
| ~ spl52_102
| ~ spl52_112
| ~ spl52_114
| ~ spl52_255
| ~ spl52_329
| ~ spl52_345
| ~ spl52_513
| ~ spl52_524
| ~ spl52_525
| ~ spl52_549 ),
inference(forward_demodulation,[],[f16645,f16636]) ).
fof(f16645,plain,
( h1(op1(e13,e11)) = op2(h1(e13),e20)
| ~ spl52_30
| ~ spl52_102
| ~ spl52_114
| ~ spl52_255
| ~ spl52_329
| ~ spl52_345
| ~ spl52_513
| ~ spl52_525
| ~ spl52_549 ),
inference(forward_demodulation,[],[f14350,f16587]) ).
fof(f16587,plain,
( e20 = h1(e11)
| ~ spl52_30
| ~ spl52_102
| ~ spl52_114
| ~ spl52_255
| ~ spl52_329
| ~ spl52_345
| ~ spl52_513
| ~ spl52_549 ),
inference(forward_demodulation,[],[f16586,f3133]) ).
fof(f16586,plain,
( e20 = h1(op1(e10,e11))
| ~ spl52_30
| ~ spl52_102
| ~ spl52_114
| ~ spl52_255
| ~ spl52_345
| ~ spl52_513
| ~ spl52_549 ),
inference(forward_demodulation,[],[f16585,f15612]) ).
fof(f15612,plain,
( e20 = op2(e20,h1(e11))
| ~ spl52_30
| ~ spl52_114
| ~ spl52_549 ),
inference(forward_demodulation,[],[f15611,f1012]) ).
fof(f15611,plain,
( h1(e12) = op2(e20,h1(e11))
| ~ spl52_30
| ~ spl52_114
| ~ spl52_549 ),
inference(forward_demodulation,[],[f15610,f1404]) ).
fof(f15610,plain,
( h1(op1(e12,e11)) = op2(e20,h1(e11))
| ~ spl52_30
| ~ spl52_549 ),
inference(forward_demodulation,[],[f14600,f1012]) ).
fof(f14600,plain,
( h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
| ~ spl52_549 ),
inference(avatar_component_clause,[],[f14599]) ).
fof(f16585,plain,
( h1(op1(e10,e11)) = op2(e20,h1(e11))
| ~ spl52_102
| ~ spl52_255
| ~ spl52_345
| ~ spl52_513 ),
inference(forward_demodulation,[],[f14302,f5063]) ).
fof(f16912,plain,
( spl52_480
| ~ spl52_30
| ~ spl52_102
| ~ spl52_114
| ~ spl52_255
| ~ spl52_329
| ~ spl52_345
| ~ spl52_513
| ~ spl52_549 ),
inference(avatar_split_clause,[],[f16587,f14599,f14301,f5052,f3131,f2138,f1402,f1345,f1010,f13496]) ).
fof(f16910,plain,
( spl52_77
| ~ spl52_350
| ~ spl52_558 ),
inference(avatar_split_clause,[],[f16577,f14921,f6152,f1224]) ).
fof(f14921,plain,
( spl52_558
<=> e20 = h1(op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_558])]) ).
fof(f16577,plain,
( e20 = h1(e13)
| ~ spl52_350
| ~ spl52_558 ),
inference(forward_demodulation,[],[f14923,f6154]) ).
fof(f14923,plain,
( e20 = h1(op1(e10,e13))
| ~ spl52_558 ),
inference(avatar_component_clause,[],[f14921]) ).
fof(f16895,plain,
( ~ spl52_29
| ~ spl52_29
| ~ spl52_46
| ~ spl52_294
| ~ spl52_298
| spl52_372 ),
inference(avatar_split_clause,[],[f16009,f7600,f2504,f2478,f1082,f1005,f1005]) ).
fof(f16009,plain,
( e23 != h4(e12)
| ~ spl52_29
| ~ spl52_46
| ~ spl52_294
| ~ spl52_298
| spl52_372 ),
inference(forward_demodulation,[],[f10539,f2480]) ).
fof(f10539,plain,
( e23 != h4(op1(e10,e12))
| ~ spl52_29
| ~ spl52_46
| ~ spl52_298
| spl52_372 ),
inference(forward_demodulation,[],[f7683,f2506]) ).
fof(f2506,plain,
( e23 = op2(e21,e23)
| ~ spl52_298 ),
inference(avatar_component_clause,[],[f2504]) ).
fof(f7683,plain,
( op2(e21,e23) != h4(op1(e10,e12))
| ~ spl52_29
| ~ spl52_46
| spl52_372 ),
inference(forward_demodulation,[],[f7682,f1083]) ).
fof(f7682,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| ~ spl52_29
| spl52_372 ),
inference(forward_demodulation,[],[f7602,f1007]) ).
fof(f7602,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| spl52_372 ),
inference(avatar_component_clause,[],[f7600]) ).
fof(f16893,plain,
( spl52_1
| ~ spl52_46
| ~ spl52_67
| ~ spl52_338
| ~ spl52_346
| ~ spl52_361
| ~ spl52_400
| ~ spl52_409 ),
inference(avatar_split_clause,[],[f16892,f8720,f7989,f7464,f5149,f3607,f1177,f1082,f865]) ).
fof(f865,plain,
( spl52_1
<=> e20 = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1])]) ).
fof(f8720,plain,
( spl52_409
<=> h4(e11) = op2(h4(e11),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_409])]) ).
fof(f16892,plain,
( e20 = e21
| ~ spl52_46
| ~ spl52_67
| ~ spl52_338
| ~ spl52_346
| ~ spl52_361
| ~ spl52_400
| ~ spl52_409 ),
inference(forward_demodulation,[],[f16891,f8724]) ).
fof(f8724,plain,
( e20 = op2(e20,e20)
| ~ spl52_346
| ~ spl52_409 ),
inference(forward_demodulation,[],[f8722,f5151]) ).
fof(f8722,plain,
( h4(e11) = op2(h4(e11),h4(e11))
| ~ spl52_409 ),
inference(avatar_component_clause,[],[f8720]) ).
fof(f16881,plain,
( ~ spl52_46
| ~ spl52_304
| ~ spl52_338
| ~ spl52_346
| spl52_361 ),
inference(avatar_split_clause,[],[f15999,f7464,f5149,f3607,f2552,f1082]) ).
fof(f15999,plain,
( e21 != h4(e10)
| ~ spl52_304
| ~ spl52_338
| ~ spl52_346
| spl52_361 ),
inference(forward_demodulation,[],[f10767,f3609]) ).
fof(f10767,plain,
( e21 != h4(op1(e11,e12))
| ~ spl52_304
| ~ spl52_346
| spl52_361 ),
inference(forward_demodulation,[],[f7535,f2554]) ).
fof(f7535,plain,
( op2(e20,e23) != h4(op1(e11,e12))
| ~ spl52_346
| spl52_361 ),
inference(forward_demodulation,[],[f7466,f5151]) ).
fof(f7466,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e23)
| spl52_361 ),
inference(avatar_component_clause,[],[f7464]) ).
fof(f16878,plain,
( ~ spl52_345
| ~ spl52_68
| ~ spl52_327
| spl52_522 ),
inference(avatar_split_clause,[],[f15570,f14337,f3104,f1182,f5052]) ).
fof(f1182,plain,
( spl52_68
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_68])]) ).
fof(f14337,plain,
( spl52_522
<=> op2(e23,e23) = h1(op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_522])]) ).
fof(f15570,plain,
( e22 != h1(e13)
| ~ spl52_68
| ~ spl52_327
| spl52_522 ),
inference(forward_demodulation,[],[f14383,f3106]) ).
fof(f14383,plain,
( op2(e23,e23) != h1(e13)
| ~ spl52_68
| spl52_522 ),
inference(forward_demodulation,[],[f14339,f1184]) ).
fof(f1184,plain,
( e13 = op1(e12,e12)
| ~ spl52_68 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f14339,plain,
( op2(e23,e23) != h1(op1(e12,e12))
| spl52_522 ),
inference(avatar_component_clause,[],[f14337]) ).
fof(f16854,plain,
( spl52_2
| ~ spl52_84
| ~ spl52_102
| ~ spl52_255
| ~ spl52_313
| ~ spl52_345
| ~ spl52_350
| ~ spl52_515 ),
inference(avatar_split_clause,[],[f16678,f14309,f6152,f5052,f2734,f2138,f1345,f1259,f870]) ).
fof(f1259,plain,
( spl52_84
<=> op2(e20,e20) = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_84])]) ).
fof(f14309,plain,
( spl52_515
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_515])]) ).
fof(f16678,plain,
( e20 = e22
| ~ spl52_84
| ~ spl52_102
| ~ spl52_255
| ~ spl52_313
| ~ spl52_345
| ~ spl52_350
| ~ spl52_515 ),
inference(forward_demodulation,[],[f2772,f16640]) ).
fof(f16640,plain,
( e20 = h1(e13)
| ~ spl52_102
| ~ spl52_255
| ~ spl52_345
| ~ spl52_350
| ~ spl52_515 ),
inference(forward_demodulation,[],[f16639,f5063]) ).
fof(f16639,plain,
( h1(e10) = h1(e13)
| ~ spl52_102
| ~ spl52_255
| ~ spl52_345
| ~ spl52_350
| ~ spl52_515 ),
inference(forward_demodulation,[],[f16638,f6154]) ).
fof(f16638,plain,
( h1(e10) = h1(op1(e10,e13))
| ~ spl52_102
| ~ spl52_255
| ~ spl52_345
| ~ spl52_515 ),
inference(forward_demodulation,[],[f16637,f2140]) ).
fof(f16637,plain,
( h1(op1(e10,e13)) = op2(e20,h1(e13))
| ~ spl52_102
| ~ spl52_255
| ~ spl52_345
| ~ spl52_515 ),
inference(forward_demodulation,[],[f14310,f5063]) ).
fof(f14310,plain,
( h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
| ~ spl52_515 ),
inference(avatar_component_clause,[],[f14309]) ).
fof(f2772,plain,
( e22 = h1(e13)
| ~ spl52_84
| ~ spl52_313 ),
inference(superposition,[],[f2736,f1261]) ).
fof(f1261,plain,
( op2(e20,e20) = h1(e13)
| ~ spl52_84 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f16832,plain,
( ~ spl52_346
| ~ spl52_46
| ~ spl52_312
| ~ spl52_329
| ~ spl52_346
| spl52_356 ),
inference(avatar_split_clause,[],[f15995,f7444,f5149,f3131,f2619,f1082,f5149]) ).
fof(f7444,plain,
( spl52_356
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_356])]) ).
fof(f15995,plain,
( e20 != h4(e11)
| ~ spl52_46
| ~ spl52_312
| ~ spl52_329
| ~ spl52_346
| spl52_356 ),
inference(forward_demodulation,[],[f10565,f3133]) ).
fof(f10565,plain,
( e20 != h4(op1(e10,e11))
| ~ spl52_46
| ~ spl52_312
| ~ spl52_346
| spl52_356 ),
inference(forward_demodulation,[],[f10564,f2620]) ).
fof(f10564,plain,
( op2(e21,e20) != h4(op1(e10,e11))
| ~ spl52_46
| ~ spl52_346
| spl52_356 ),
inference(forward_demodulation,[],[f10563,f1083]) ).
fof(f10563,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e20)
| ~ spl52_346
| spl52_356 ),
inference(forward_demodulation,[],[f7446,f5151]) ).
fof(f7446,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| spl52_356 ),
inference(avatar_component_clause,[],[f7444]) ).
fof(f16818,plain,
( ~ spl52_268
| ~ spl52_31
| ~ spl52_58
| ~ spl52_114
| ~ spl52_329
| spl52_483
| ~ spl52_506 ),
inference(avatar_split_clause,[],[f15593,f14216,f14065,f3131,f1402,f1136,f1015,f2231]) ).
fof(f14065,plain,
( spl52_483
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_483])]) ).
fof(f15593,plain,
( e21 != h2(e11)
| ~ spl52_31
| ~ spl52_58
| ~ spl52_114
| ~ spl52_329
| spl52_483
| ~ spl52_506 ),
inference(forward_demodulation,[],[f15592,f3133]) ).
fof(f15592,plain,
( e21 != h2(op1(e10,e11))
| ~ spl52_31
| ~ spl52_58
| ~ spl52_114
| spl52_483
| ~ spl52_506 ),
inference(forward_demodulation,[],[f15591,f15582]) ).
fof(f15582,plain,
( e21 = op2(e21,h2(e11))
| ~ spl52_31
| ~ spl52_114
| ~ spl52_506 ),
inference(forward_demodulation,[],[f15581,f1017]) ).
fof(f15581,plain,
( h2(e12) = op2(e21,h2(e11))
| ~ spl52_31
| ~ spl52_114
| ~ spl52_506 ),
inference(forward_demodulation,[],[f15580,f1404]) ).
fof(f15580,plain,
( h2(op1(e12,e11)) = op2(e21,h2(e11))
| ~ spl52_31
| ~ spl52_506 ),
inference(forward_demodulation,[],[f14217,f1017]) ).
fof(f14217,plain,
( h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
| ~ spl52_506 ),
inference(avatar_component_clause,[],[f14216]) ).
fof(f15591,plain,
( h2(op1(e10,e11)) != op2(e21,h2(e11))
| ~ spl52_58
| spl52_483 ),
inference(forward_demodulation,[],[f14067,f1137]) ).
fof(f14067,plain,
( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| spl52_483 ),
inference(avatar_component_clause,[],[f14065]) ).
fof(f16813,plain,
( ~ spl52_345
| ~ spl52_327
| ~ spl52_352
| spl52_532 ),
inference(avatar_split_clause,[],[f15567,f14469,f6191,f3104,f5052]) ).
fof(f15567,plain,
( e22 != h1(e13)
| ~ spl52_327
| ~ spl52_352
| spl52_532 ),
inference(forward_demodulation,[],[f14537,f3106]) ).
fof(f14537,plain,
( op2(e23,e23) != h1(e13)
| ~ spl52_352
| spl52_532 ),
inference(forward_demodulation,[],[f14471,f6193]) ).
fof(f14471,plain,
( op2(e23,e23) != h1(op1(e11,e11))
| spl52_532 ),
inference(avatar_component_clause,[],[f14469]) ).
fof(f16808,plain,
( spl52_1
| ~ spl52_46
| ~ spl52_67
| ~ spl52_400
| ~ spl52_407
| ~ spl52_414 ),
inference(avatar_split_clause,[],[f16740,f9014,f8686,f7989,f1177,f1082,f865]) ).
fof(f8686,plain,
( spl52_407
<=> h4(e10) = op2(h4(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_407])]) ).
fof(f16740,plain,
( e20 = e21
| ~ spl52_46
| ~ spl52_67
| ~ spl52_400
| ~ spl52_407
| ~ spl52_414 ),
inference(forward_demodulation,[],[f16739,f10382]) ).
fof(f16739,plain,
( e21 = op2(e21,e20)
| ~ spl52_46
| ~ spl52_67
| ~ spl52_400
| ~ spl52_407 ),
inference(forward_demodulation,[],[f14059,f7993]) ).
fof(f14059,plain,
( e21 = op2(e21,e23)
| ~ spl52_46
| ~ spl52_407 ),
inference(forward_demodulation,[],[f8688,f1083]) ).
fof(f8688,plain,
( h4(e10) = op2(h4(e10),e23)
| ~ spl52_407 ),
inference(avatar_component_clause,[],[f8686]) ).
fof(f16736,plain,
( spl52_293
| ~ spl52_85
| ~ spl52_88
| ~ spl52_270
| ~ spl52_352
| ~ spl52_389 ),
inference(avatar_split_clause,[],[f13804,f7726,f6191,f2244,f1281,f1264,f2466]) ).
fof(f2466,plain,
( spl52_293
<=> e23 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_293])]) ).
fof(f1281,plain,
( spl52_88
<=> e23 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_88])]) ).
fof(f7726,plain,
( spl52_389
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_389])]) ).
fof(f13804,plain,
( e23 = h2(e13)
| ~ spl52_85
| ~ spl52_88
| ~ spl52_270
| ~ spl52_352
| ~ spl52_389 ),
inference(forward_demodulation,[],[f13803,f1283]) ).
fof(f1283,plain,
( e23 = h3(e13)
| ~ spl52_88 ),
inference(avatar_component_clause,[],[f1281]) ).
fof(f13803,plain,
( h2(e13) = h3(e13)
| ~ spl52_85
| ~ spl52_270
| ~ spl52_352
| ~ spl52_389 ),
inference(forward_demodulation,[],[f10721,f6193]) ).
fof(f10721,plain,
( h2(e13) = h3(op1(e11,e11))
| ~ spl52_85
| ~ spl52_270
| ~ spl52_389 ),
inference(forward_demodulation,[],[f9438,f1266]) ).
fof(f9438,plain,
( op2(e21,e21) = h3(op1(e11,e11))
| ~ spl52_270
| ~ spl52_389 ),
inference(forward_demodulation,[],[f7727,f2246]) ).
fof(f7727,plain,
( h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
| ~ spl52_389 ),
inference(avatar_component_clause,[],[f7726]) ).
fof(f16735,plain,
( ~ spl52_77
| ~ spl52_54
| ~ spl52_103
| spl52_434 ),
inference(avatar_split_clause,[],[f11114,f10302,f1350,f1118,f1224]) ).
fof(f10302,plain,
( spl52_434
<=> h1(e13) = h3(op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_434])]) ).
fof(f11114,plain,
( e20 != h1(e13)
| ~ spl52_54
| ~ spl52_103
| spl52_434 ),
inference(forward_demodulation,[],[f11113,f1119]) ).
fof(f11113,plain,
( h1(e13) != h3(e10)
| ~ spl52_103
| spl52_434 ),
inference(forward_demodulation,[],[f10304,f1352]) ).
fof(f10304,plain,
( h1(e13) != h3(op1(e10,e10))
| spl52_434 ),
inference(avatar_component_clause,[],[f10302]) ).
fof(f16708,plain,
( spl52_2
| ~ spl52_102
| ~ spl52_103
| ~ spl52_255
| ~ spl52_301
| ~ spl52_345
| ~ spl52_346
| ~ spl52_352
| ~ spl52_360
| ~ spl52_512 ),
inference(avatar_split_clause,[],[f16648,f14297,f7460,f6191,f5149,f5052,f2522,f2138,f1350,f1345,f870]) ).
fof(f7460,plain,
( spl52_360
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_360])]) ).
fof(f14297,plain,
( spl52_512
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_512])]) ).
fof(f16648,plain,
( e20 = e22
| ~ spl52_102
| ~ spl52_103
| ~ spl52_255
| ~ spl52_301
| ~ spl52_345
| ~ spl52_346
| ~ spl52_352
| ~ spl52_360
| ~ spl52_512 ),
inference(forward_demodulation,[],[f15838,f16618]) ).
fof(f16618,plain,
( e20 = op2(e20,e20)
| ~ spl52_102
| ~ spl52_103
| ~ spl52_255
| ~ spl52_345
| ~ spl52_512 ),
inference(forward_demodulation,[],[f16617,f5063]) ).
fof(f16617,plain,
( op2(e20,e20) = h1(e10)
| ~ spl52_102
| ~ spl52_103
| ~ spl52_255
| ~ spl52_345
| ~ spl52_512 ),
inference(forward_demodulation,[],[f16616,f1352]) ).
fof(f16616,plain,
( op2(e20,e20) = h1(op1(e10,e10))
| ~ spl52_102
| ~ spl52_255
| ~ spl52_345
| ~ spl52_512 ),
inference(forward_demodulation,[],[f14298,f5063]) ).
fof(f14298,plain,
( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
| ~ spl52_512 ),
inference(avatar_component_clause,[],[f14297]) ).
fof(f15838,plain,
( op2(e20,e20) = e22
| ~ spl52_301
| ~ spl52_346
| ~ spl52_352
| ~ spl52_360 ),
inference(forward_demodulation,[],[f12871,f2524]) ).
fof(f12871,plain,
( op2(e20,e20) = h4(e13)
| ~ spl52_346
| ~ spl52_352
| ~ spl52_360 ),
inference(forward_demodulation,[],[f12870,f6193]) ).
fof(f12870,plain,
( op2(e20,e20) = h4(op1(e11,e11))
| ~ spl52_346
| ~ spl52_360 ),
inference(forward_demodulation,[],[f7461,f5151]) ).
fof(f7461,plain,
( h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
| ~ spl52_360 ),
inference(avatar_component_clause,[],[f7460]) ).
fof(f16632,plain,
( spl52_2
| ~ spl52_46
| ~ spl52_301
| ~ spl52_346
| ~ spl52_358
| ~ spl52_406
| ~ spl52_460 ),
inference(avatar_split_clause,[],[f16523,f10978,f8679,f7452,f5149,f2522,f1082,f870]) ).
fof(f8679,plain,
( spl52_406
<=> h4(e11) = op2(h4(e10),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_406])]) ).
fof(f16523,plain,
( e20 = e22
| ~ spl52_46
| ~ spl52_301
| ~ spl52_346
| ~ spl52_358
| ~ spl52_406
| ~ spl52_460 ),
inference(forward_demodulation,[],[f12591,f14854]) ).
fof(f14854,plain,
( e20 = op2(e21,e22)
| ~ spl52_46
| ~ spl52_346
| ~ spl52_406 ),
inference(forward_demodulation,[],[f14853,f5151]) ).
fof(f14853,plain,
( op2(e21,e22) = h4(e11)
| ~ spl52_46
| ~ spl52_406 ),
inference(forward_demodulation,[],[f8680,f1083]) ).
fof(f8680,plain,
( h4(e11) = op2(h4(e10),e22)
| ~ spl52_406 ),
inference(avatar_component_clause,[],[f8679]) ).
fof(f16515,plain,
( spl52_2
| ~ spl52_66
| ~ spl52_103
| ~ spl52_301
| ~ spl52_346
| ~ spl52_352
| ~ spl52_360
| ~ spl52_512 ),
inference(avatar_split_clause,[],[f16457,f14297,f7460,f6191,f5149,f2522,f1350,f1172,f870]) ).
fof(f16457,plain,
( e20 = e22
| ~ spl52_66
| ~ spl52_103
| ~ spl52_301
| ~ spl52_346
| ~ spl52_352
| ~ spl52_360
| ~ spl52_512 ),
inference(forward_demodulation,[],[f15838,f14426]) ).
fof(f14426,plain,
( e20 = op2(e20,e20)
| ~ spl52_66
| ~ spl52_103
| ~ spl52_512 ),
inference(forward_demodulation,[],[f14425,f1173]) ).
fof(f14425,plain,
( op2(e20,e20) = h1(e10)
| ~ spl52_66
| ~ spl52_103
| ~ spl52_512 ),
inference(forward_demodulation,[],[f14424,f1352]) ).
fof(f14424,plain,
( op2(e20,e20) = h1(op1(e10,e10))
| ~ spl52_66
| ~ spl52_512 ),
inference(forward_demodulation,[],[f14298,f1173]) ).
fof(f16456,plain,
( spl52_2
| ~ spl52_46
| ~ spl52_301
| ~ spl52_358
| ~ spl52_419
| ~ spl52_460 ),
inference(avatar_split_clause,[],[f16399,f10978,f9079,f7452,f2522,f1082,f870]) ).
fof(f9079,plain,
( spl52_419
<=> e20 = op2(h4(e10),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_419])]) ).
fof(f16399,plain,
( e20 = e22
| ~ spl52_46
| ~ spl52_301
| ~ spl52_358
| ~ spl52_419
| ~ spl52_460 ),
inference(forward_demodulation,[],[f12591,f15309]) ).
fof(f15309,plain,
( e20 = op2(e21,e22)
| ~ spl52_46
| ~ spl52_301
| ~ spl52_419 ),
inference(forward_demodulation,[],[f15308,f1083]) ).
fof(f15308,plain,
( e20 = op2(h4(e10),e22)
| ~ spl52_301
| ~ spl52_419 ),
inference(forward_demodulation,[],[f9080,f2524]) ).
fof(f9080,plain,
( e20 = op2(h4(e10),h4(e13))
| ~ spl52_419 ),
inference(avatar_component_clause,[],[f9079]) ).
fof(f16391,plain,
( spl52_2
| ~ spl52_30
| ~ spl52_66
| ~ spl52_294
| ~ spl52_301
| ~ spl52_346
| ~ spl52_352
| ~ spl52_360
| ~ spl52_530 ),
inference(avatar_split_clause,[],[f16326,f14461,f7460,f6191,f5149,f2522,f2478,f1172,f1010,f870]) ).
fof(f16326,plain,
( e20 = e22
| ~ spl52_30
| ~ spl52_66
| ~ spl52_294
| ~ spl52_301
| ~ spl52_346
| ~ spl52_352
| ~ spl52_360
| ~ spl52_530 ),
inference(forward_demodulation,[],[f15838,f14557]) ).
fof(f14557,plain,
( e20 = op2(e20,e20)
| ~ spl52_30
| ~ spl52_66
| ~ spl52_294
| ~ spl52_530 ),
inference(forward_demodulation,[],[f14556,f1012]) ).
fof(f14556,plain,
( op2(e20,e20) = h1(e12)
| ~ spl52_30
| ~ spl52_66
| ~ spl52_294
| ~ spl52_530 ),
inference(forward_demodulation,[],[f14555,f2480]) ).
fof(f14555,plain,
( op2(e20,e20) = h1(op1(e10,e12))
| ~ spl52_30
| ~ spl52_66
| ~ spl52_530 ),
inference(forward_demodulation,[],[f14554,f1173]) ).
fof(f14554,plain,
( h1(op1(e10,e12)) = op2(h1(e10),e20)
| ~ spl52_30
| ~ spl52_530 ),
inference(forward_demodulation,[],[f14462,f1012]) ).
fof(f14462,plain,
( h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
| ~ spl52_530 ),
inference(avatar_component_clause,[],[f14461]) ).
fof(f16298,plain,
( spl52_2
| ~ spl52_46
| ~ spl52_286
| ~ spl52_301
| ~ spl52_346
| ~ spl52_436 ),
inference(avatar_split_clause,[],[f16030,f10334,f5149,f2522,f2424,f1082,f870]) ).
fof(f10334,plain,
( spl52_436
<=> h4(e11) = op2(h4(e10),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_436])]) ).
fof(f16030,plain,
( e20 = e22
| ~ spl52_46
| ~ spl52_286
| ~ spl52_301
| ~ spl52_346
| ~ spl52_436 ),
inference(forward_demodulation,[],[f2426,f15313]) ).
fof(f15313,plain,
( e20 = op2(e21,e22)
| ~ spl52_46
| ~ spl52_301
| ~ spl52_346
| ~ spl52_436 ),
inference(forward_demodulation,[],[f15312,f5151]) ).
fof(f15312,plain,
( op2(e21,e22) = h4(e11)
| ~ spl52_46
| ~ spl52_301
| ~ spl52_436 ),
inference(forward_demodulation,[],[f15311,f1083]) ).
fof(f15311,plain,
( h4(e11) = op2(h4(e10),e22)
| ~ spl52_301
| ~ spl52_436 ),
inference(forward_demodulation,[],[f10335,f2524]) ).
fof(f10335,plain,
( h4(e11) = op2(h4(e10),h4(e13))
| ~ spl52_436 ),
inference(avatar_component_clause,[],[f10334]) ).
fof(f2426,plain,
( e22 = op2(e21,e22)
| ~ spl52_286 ),
inference(avatar_component_clause,[],[f2424]) ).
fof(f16289,plain,
( spl52_5
| ~ spl52_46
| ~ spl52_103
| ~ spl52_355
| ~ spl52_408 ),
inference(avatar_split_clause,[],[f15940,f8714,f7440,f1350,f1082,f885]) ).
fof(f885,plain,
( spl52_5
<=> e21 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_5])]) ).
fof(f7440,plain,
( spl52_355
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_355])]) ).
fof(f8714,plain,
( spl52_408
<=> e23 = op2(h4(e10),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_408])]) ).
fof(f15940,plain,
( e21 = e23
| ~ spl52_46
| ~ spl52_103
| ~ spl52_355
| ~ spl52_408 ),
inference(forward_demodulation,[],[f15939,f1083]) ).
fof(f15939,plain,
( e23 = h4(e10)
| ~ spl52_103
| ~ spl52_355
| ~ spl52_408 ),
inference(forward_demodulation,[],[f9403,f1352]) ).
fof(f9403,plain,
( e23 = h4(op1(e10,e10))
| ~ spl52_355
| ~ spl52_408 ),
inference(forward_demodulation,[],[f7441,f8716]) ).
fof(f8716,plain,
( e23 = op2(h4(e10),h4(e10))
| ~ spl52_408 ),
inference(avatar_component_clause,[],[f8714]) ).
fof(f7441,plain,
( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
| ~ spl52_355 ),
inference(avatar_component_clause,[],[f7440]) ).
fof(f16245,plain,
( spl52_5
| ~ spl52_46
| ~ spl52_324
| ~ spl52_346
| ~ spl52_410 ),
inference(avatar_split_clause,[],[f15982,f8726,f5149,f3087,f1082,f885]) ).
fof(f8726,plain,
( spl52_410
<=> h4(e10) = op2(h4(e11),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_410])]) ).
fof(f15982,plain,
( e21 = e23
| ~ spl52_46
| ~ spl52_324
| ~ spl52_346
| ~ spl52_410 ),
inference(forward_demodulation,[],[f3089,f14651]) ).
fof(f14651,plain,
( e21 = op2(e20,e21)
| ~ spl52_46
| ~ spl52_346
| ~ spl52_410 ),
inference(forward_demodulation,[],[f14650,f5151]) ).
fof(f14650,plain,
( e21 = op2(h4(e11),e21)
| ~ spl52_46
| ~ spl52_410 ),
inference(forward_demodulation,[],[f8727,f1083]) ).
fof(f8727,plain,
( h4(e10) = op2(h4(e11),h4(e10))
| ~ spl52_410 ),
inference(avatar_component_clause,[],[f8726]) ).
fof(f3089,plain,
( e23 = op2(e20,e21)
| ~ spl52_324 ),
inference(avatar_component_clause,[],[f3087]) ).
fof(f16190,plain,
( spl52_5
| ~ spl52_31
| ~ spl52_46
| ~ spl52_58
| ~ spl52_294
| ~ spl52_429
| ~ spl52_484 ),
inference(avatar_split_clause,[],[f15678,f14069,f9166,f2478,f1136,f1082,f1015,f885]) ).
fof(f9166,plain,
( spl52_429
<=> e23 = op2(h4(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_429])]) ).
fof(f14069,plain,
( spl52_484
<=> h2(op1(e10,e12)) = op2(h2(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_484])]) ).
fof(f15678,plain,
( e21 = e23
| ~ spl52_31
| ~ spl52_46
| ~ spl52_58
| ~ spl52_294
| ~ spl52_429
| ~ spl52_484 ),
inference(forward_demodulation,[],[f10457,f14186]) ).
fof(f14186,plain,
( e21 = op2(e21,e23)
| ~ spl52_31
| ~ spl52_58
| ~ spl52_294
| ~ spl52_484 ),
inference(forward_demodulation,[],[f14185,f1017]) ).
fof(f14185,plain,
( op2(e21,e23) = h2(e12)
| ~ spl52_58
| ~ spl52_294
| ~ spl52_484 ),
inference(forward_demodulation,[],[f14184,f2480]) ).
fof(f14184,plain,
( op2(e21,e23) = h2(op1(e10,e12))
| ~ spl52_58
| ~ spl52_484 ),
inference(forward_demodulation,[],[f14070,f1137]) ).
fof(f14070,plain,
( h2(op1(e10,e12)) = op2(h2(e10),e23)
| ~ spl52_484 ),
inference(avatar_component_clause,[],[f14069]) ).
fof(f10457,plain,
( e23 = op2(e21,e23)
| ~ spl52_46
| ~ spl52_429 ),
inference(forward_demodulation,[],[f9167,f1083]) ).
fof(f9167,plain,
( e23 = op2(h4(e10),e23)
| ~ spl52_429 ),
inference(avatar_component_clause,[],[f9166]) ).
fof(f16088,plain,
( spl52_2
| ~ spl52_54
| ~ spl52_338
| ~ spl52_462 ),
inference(avatar_split_clause,[],[f15668,f11002,f3607,f1118,f870]) ).
fof(f11002,plain,
( spl52_462
<=> e22 = h3(op1(e11,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_462])]) ).
fof(f15668,plain,
( e20 = e22
| ~ spl52_54
| ~ spl52_338
| ~ spl52_462 ),
inference(forward_demodulation,[],[f15667,f1119]) ).
fof(f15667,plain,
( e22 = h3(e10)
| ~ spl52_338
| ~ spl52_462 ),
inference(forward_demodulation,[],[f11004,f3609]) ).
fof(f11004,plain,
( e22 = h3(op1(e11,e12))
| ~ spl52_462 ),
inference(avatar_component_clause,[],[f11002]) ).
fof(f15558,plain,
( spl52_2
| ~ spl52_68
| ~ spl52_329
| ~ spl52_346
| ~ spl52_347
| ~ spl52_460 ),
inference(avatar_split_clause,[],[f15385,f10978,f5580,f5149,f3131,f1182,f870]) ).
fof(f5580,plain,
( spl52_347
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_347])]) ).
fof(f15385,plain,
( e20 = e22
| ~ spl52_68
| ~ spl52_329
| ~ spl52_346
| ~ spl52_347
| ~ spl52_460 ),
inference(forward_demodulation,[],[f15384,f5151]) ).
fof(f15384,plain,
( e22 = h4(e11)
| ~ spl52_68
| ~ spl52_329
| ~ spl52_347
| ~ spl52_460 ),
inference(forward_demodulation,[],[f12108,f3133]) ).
fof(f12108,plain,
( e22 = h4(op1(e10,e11))
| ~ spl52_68
| ~ spl52_347
| ~ spl52_460 ),
inference(forward_demodulation,[],[f10979,f5625]) ).
fof(f5625,plain,
( e11 = e13
| ~ spl52_68
| ~ spl52_347 ),
inference(superposition,[],[f5582,f1184]) ).
fof(f5582,plain,
( e11 = op1(e12,e12)
| ~ spl52_347 ),
inference(avatar_component_clause,[],[f5580]) ).
fof(f15517,plain,
( spl52_5
| ~ spl52_58
| ~ spl52_68
| ~ spl52_85
| ~ spl52_256
| ~ spl52_281
| ~ spl52_293
| ~ spl52_329
| ~ spl52_347
| ~ spl52_485 ),
inference(avatar_split_clause,[],[f15362,f14073,f5580,f3131,f2466,f2330,f2143,f1264,f1182,f1136,f885]) ).
fof(f15362,plain,
( e21 = e23
| ~ spl52_58
| ~ spl52_68
| ~ spl52_85
| ~ spl52_256
| ~ spl52_281
| ~ spl52_293
| ~ spl52_329
| ~ spl52_347
| ~ spl52_485 ),
inference(forward_demodulation,[],[f15361,f13333]) ).
fof(f13333,plain,
( e21 = op2(e21,e23)
| ~ spl52_58
| ~ spl52_256
| ~ spl52_293 ),
inference(forward_demodulation,[],[f8739,f1137]) ).
fof(f8739,plain,
( op2(e21,e23) = h2(e10)
| ~ spl52_256
| ~ spl52_293 ),
inference(superposition,[],[f2145,f2467]) ).
fof(f2467,plain,
( e23 = h2(e13)
| ~ spl52_293 ),
inference(avatar_component_clause,[],[f2466]) ).
fof(f15361,plain,
( e23 = op2(e21,e23)
| ~ spl52_58
| ~ spl52_68
| ~ spl52_85
| ~ spl52_281
| ~ spl52_293
| ~ spl52_329
| ~ spl52_347
| ~ spl52_485 ),
inference(forward_demodulation,[],[f15360,f6033]) ).
fof(f6033,plain,
( e23 = h2(e11)
| ~ spl52_85
| ~ spl52_281
| ~ spl52_293 ),
inference(forward_demodulation,[],[f2334,f2467]) ).
fof(f15360,plain,
( op2(e21,e23) = h2(e11)
| ~ spl52_58
| ~ spl52_68
| ~ spl52_293
| ~ spl52_329
| ~ spl52_347
| ~ spl52_485 ),
inference(forward_demodulation,[],[f15359,f3133]) ).
fof(f15359,plain,
( op2(e21,e23) = h2(op1(e10,e11))
| ~ spl52_58
| ~ spl52_68
| ~ spl52_293
| ~ spl52_347
| ~ spl52_485 ),
inference(forward_demodulation,[],[f14966,f5625]) ).
fof(f14966,plain,
( op2(e21,e23) = h2(op1(e10,e13))
| ~ spl52_58
| ~ spl52_293
| ~ spl52_485 ),
inference(forward_demodulation,[],[f14965,f1137]) ).
fof(f14965,plain,
( h2(op1(e10,e13)) = op2(h2(e10),e23)
| ~ spl52_293
| ~ spl52_485 ),
inference(forward_demodulation,[],[f14074,f2467]) ).
fof(f14074,plain,
( h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
| ~ spl52_485 ),
inference(avatar_component_clause,[],[f14073]) ).
fof(f15314,plain,
( spl52_26
| ~ spl52_68
| ~ spl52_288
| ~ spl52_329
| ~ spl52_347 ),
inference(avatar_split_clause,[],[f15172,f5580,f3131,f2439,f1182,f990]) ).
fof(f2439,plain,
( spl52_288
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_288])]) ).
fof(f15172,plain,
( e11 = e12
| ~ spl52_68
| ~ spl52_288
| ~ spl52_329
| ~ spl52_347 ),
inference(forward_demodulation,[],[f11998,f3133]) ).
fof(f11998,plain,
( e12 = op1(e10,e11)
| ~ spl52_68
| ~ spl52_288
| ~ spl52_347 ),
inference(forward_demodulation,[],[f2441,f5625]) ).
fof(f2441,plain,
( e12 = op1(e10,e13)
| ~ spl52_288 ),
inference(avatar_component_clause,[],[f2439]) ).
fof(f15310,plain,
( ~ spl52_310
| ~ spl52_46
| ~ spl52_301
| ~ spl52_346
| spl52_436 ),
inference(avatar_split_clause,[],[f14852,f10334,f5149,f2522,f1082,f2609]) ).
fof(f14852,plain,
( e20 != op2(e21,e22)
| ~ spl52_46
| ~ spl52_301
| ~ spl52_346
| spl52_436 ),
inference(forward_demodulation,[],[f14851,f5151]) ).
fof(f14851,plain,
( op2(e21,e22) != h4(e11)
| ~ spl52_46
| ~ spl52_301
| spl52_436 ),
inference(forward_demodulation,[],[f10338,f1083]) ).
fof(f10338,plain,
( h4(e11) != op2(h4(e10),e22)
| ~ spl52_301
| spl52_436 ),
inference(forward_demodulation,[],[f10336,f2524]) ).
fof(f10336,plain,
( h4(e11) != op2(h4(e10),h4(e13))
| spl52_436 ),
inference(avatar_component_clause,[],[f10334]) ).
fof(f15307,plain,
( ~ spl52_310
| ~ spl52_46
| ~ spl52_301
| spl52_419 ),
inference(avatar_split_clause,[],[f10368,f9079,f2522,f1082,f2609]) ).
fof(f10368,plain,
( e20 != op2(e21,e22)
| ~ spl52_46
| ~ spl52_301
| spl52_419 ),
inference(forward_demodulation,[],[f10357,f2524]) ).
fof(f10357,plain,
( e20 != op2(e21,h4(e13))
| ~ spl52_46
| spl52_419 ),
inference(superposition,[],[f9081,f1083]) ).
fof(f9081,plain,
( e20 != op2(h4(e10),h4(e13))
| spl52_419 ),
inference(avatar_component_clause,[],[f9079]) ).
fof(f15304,plain,
( spl52_553
| ~ spl52_66
| ~ spl52_77
| ~ spl52_84
| ~ spl52_266
| ~ spl52_323
| ~ spl52_519 ),
inference(avatar_split_clause,[],[f15119,f14325,f3041,f2218,f1259,f1224,f1172,f14862]) ).
fof(f15119,plain,
( e20 = h1(op1(e11,e13))
| ~ spl52_66
| ~ spl52_77
| ~ spl52_84
| ~ spl52_266
| ~ spl52_323
| ~ spl52_519 ),
inference(forward_demodulation,[],[f15118,f1225]) ).
fof(f1225,plain,
( e20 = h1(e13)
| ~ spl52_77 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f15118,plain,
( h1(e13) = h1(op1(e11,e13))
| ~ spl52_66
| ~ spl52_77
| ~ spl52_84
| ~ spl52_266
| ~ spl52_323
| ~ spl52_519 ),
inference(forward_demodulation,[],[f14885,f1261]) ).
fof(f14885,plain,
( op2(e20,e20) = h1(op1(e11,e13))
| ~ spl52_66
| ~ spl52_77
| ~ spl52_266
| ~ spl52_323
| ~ spl52_519 ),
inference(forward_demodulation,[],[f14884,f5546]) ).
fof(f5546,plain,
( e20 = h1(e11)
| ~ spl52_66
| ~ spl52_266
| ~ spl52_323 ),
inference(forward_demodulation,[],[f5543,f3042]) ).
fof(f3042,plain,
( e20 = op2(e20,e20)
| ~ spl52_323 ),
inference(avatar_component_clause,[],[f3041]) ).
fof(f5543,plain,
( op2(e20,e20) = h1(e11)
| ~ spl52_66
| ~ spl52_266 ),
inference(superposition,[],[f2220,f1173]) ).
fof(f14884,plain,
( h1(op1(e11,e13)) = op2(h1(e11),e20)
| ~ spl52_77
| ~ spl52_519 ),
inference(forward_demodulation,[],[f14326,f1225]) ).
fof(f15301,plain,
( ~ spl52_568
| ~ spl52_83
| ~ spl52_85
| ~ spl52_281
| ~ spl52_293
| ~ spl52_301
| spl52_495 ),
inference(avatar_split_clause,[],[f15114,f14113,f2522,f2466,f2330,f1264,f1254,f15298]) ).
fof(f15298,plain,
( spl52_568
<=> e22 = h2(op1(e13,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_568])]) ).
fof(f1254,plain,
( spl52_83
<=> op2(e23,e23) = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_83])]) ).
fof(f14113,plain,
( spl52_495
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_495])]) ).
fof(f15114,plain,
( e22 != h2(op1(e13,e11))
| ~ spl52_83
| ~ spl52_85
| ~ spl52_281
| ~ spl52_293
| ~ spl52_301
| spl52_495 ),
inference(forward_demodulation,[],[f15113,f2524]) ).
fof(f15113,plain,
( h4(e13) != h2(op1(e13,e11))
| ~ spl52_83
| ~ spl52_85
| ~ spl52_281
| ~ spl52_293
| spl52_495 ),
inference(forward_demodulation,[],[f14137,f1256]) ).
fof(f1256,plain,
( op2(e23,e23) = h4(e13)
| ~ spl52_83 ),
inference(avatar_component_clause,[],[f1254]) ).
fof(f14137,plain,
( op2(e23,e23) != h2(op1(e13,e11))
| ~ spl52_85
| ~ spl52_281
| ~ spl52_293
| spl52_495 ),
inference(forward_demodulation,[],[f14136,f2467]) ).
fof(f14136,plain,
( h2(op1(e13,e11)) != op2(h2(e13),e23)
| ~ spl52_85
| ~ spl52_281
| ~ spl52_293
| spl52_495 ),
inference(forward_demodulation,[],[f14115,f6033]) ).
fof(f14115,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl52_495 ),
inference(avatar_component_clause,[],[f14113]) ).
fof(f15294,plain,
( spl52_567
| ~ spl52_66
| ~ spl52_77
| ~ spl52_84
| ~ spl52_266
| ~ spl52_323
| ~ spl52_525 ),
inference(avatar_split_clause,[],[f15112,f14349,f3041,f2218,f1259,f1224,f1172,f15291]) ).
fof(f15112,plain,
( e20 = h1(op1(e13,e11))
| ~ spl52_66
| ~ spl52_77
| ~ spl52_84
| ~ spl52_266
| ~ spl52_323
| ~ spl52_525 ),
inference(forward_demodulation,[],[f15111,f1225]) ).
fof(f15111,plain,
( h1(e13) = h1(op1(e13,e11))
| ~ spl52_66
| ~ spl52_77
| ~ spl52_84
| ~ spl52_266
| ~ spl52_323
| ~ spl52_525 ),
inference(forward_demodulation,[],[f14429,f1261]) ).
fof(f14429,plain,
( op2(e20,e20) = h1(op1(e13,e11))
| ~ spl52_66
| ~ spl52_77
| ~ spl52_266
| ~ spl52_323
| ~ spl52_525 ),
inference(forward_demodulation,[],[f14428,f1225]) ).
fof(f14428,plain,
( h1(op1(e13,e11)) = op2(h1(e13),e20)
| ~ spl52_66
| ~ spl52_266
| ~ spl52_323
| ~ spl52_525 ),
inference(forward_demodulation,[],[f14350,f5546]) ).
fof(f15288,plain,
( ~ spl52_566
| ~ spl52_77
| ~ spl52_297
| spl52_539 ),
inference(avatar_split_clause,[],[f15110,f14497,f2500,f1224,f15285]) ).
fof(f15285,plain,
( spl52_566
<=> e23 = h1(op1(e13,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_566])]) ).
fof(f2500,plain,
( spl52_297
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_297])]) ).
fof(f14497,plain,
( spl52_539
<=> h1(op1(e13,e11)) = op2(h1(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_539])]) ).
fof(f15110,plain,
( e23 != h1(op1(e13,e11))
| ~ spl52_77
| ~ spl52_297
| spl52_539 ),
inference(forward_demodulation,[],[f14514,f2502]) ).
fof(f2502,plain,
( e23 = op2(e20,e23)
| ~ spl52_297 ),
inference(avatar_component_clause,[],[f2500]) ).
fof(f14514,plain,
( op2(e20,e23) != h1(op1(e13,e11))
| ~ spl52_77
| spl52_539 ),
inference(forward_demodulation,[],[f14499,f1225]) ).
fof(f14499,plain,
( h1(op1(e13,e11)) != op2(h1(e13),e23)
| spl52_539 ),
inference(avatar_component_clause,[],[f14497]) ).
fof(f15269,plain,
( spl52_309
| ~ spl52_32
| ~ spl52_54
| ~ spl52_339
| ~ spl52_398 ),
inference(avatar_split_clause,[],[f11259,f7762,f3630,f1118,f1020,f2601]) ).
fof(f2601,plain,
( spl52_309
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_309])]) ).
fof(f3630,plain,
( spl52_339
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_339])]) ).
fof(f7762,plain,
( spl52_398
<=> h3(op1(e13,e12)) = op2(e23,h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_398])]) ).
fof(f11259,plain,
( e20 = op2(e23,e22)
| ~ spl52_32
| ~ spl52_54
| ~ spl52_339
| ~ spl52_398 ),
inference(forward_demodulation,[],[f11258,f1119]) ).
fof(f11258,plain,
( op2(e23,e22) = h3(e10)
| ~ spl52_32
| ~ spl52_339
| ~ spl52_398 ),
inference(forward_demodulation,[],[f7827,f3632]) ).
fof(f3632,plain,
( e10 = op1(e13,e12)
| ~ spl52_339 ),
inference(avatar_component_clause,[],[f3630]) ).
fof(f7827,plain,
( op2(e23,e22) = h3(op1(e13,e12))
| ~ spl52_32
| ~ spl52_398 ),
inference(forward_demodulation,[],[f7763,f1022]) ).
fof(f7763,plain,
( h3(op1(e13,e12)) = op2(e23,h3(e12))
| ~ spl52_398 ),
inference(avatar_component_clause,[],[f7762]) ).
fof(f15098,plain,
( spl52_104
| spl52_27
| spl52_23
| spl52_26
| ~ spl52_334
| ~ spl52_338
| ~ spl52_351 ),
inference(avatar_split_clause,[],[f12485,f6156,f3607,f3488,f990,f975,f995,f1355]) ).
fof(f1355,plain,
( spl52_104
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_104])]) ).
fof(f6156,plain,
( spl52_351
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_351])]) ).
fof(f12485,plain,
( e11 = e12
| e10 = e11
| e11 = e13
| e11 = op1(e11,e11)
| ~ spl52_334
| ~ spl52_338
| ~ spl52_351 ),
inference(forward_demodulation,[],[f12484,f3490]) ).
fof(f12484,plain,
( e10 = e11
| e11 = e13
| e11 = op1(e11,e11)
| e11 = op1(e11,e10)
| ~ spl52_338
| ~ spl52_351 ),
inference(forward_demodulation,[],[f6311,f3609]) ).
fof(f6311,plain,
( e11 = e13
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10)
| ~ spl52_351 ),
inference(forward_demodulation,[],[f396,f6158]) ).
fof(f6158,plain,
( e13 = op1(e11,e13)
| ~ spl52_351 ),
inference(avatar_component_clause,[],[f6156]) ).
fof(f396,plain,
( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f15096,plain,
( ~ spl52_565
| ~ spl52_77
| ~ spl52_297
| spl52_526 ),
inference(avatar_split_clause,[],[f15070,f14353,f2500,f1224,f15093]) ).
fof(f15093,plain,
( spl52_565
<=> e23 = h1(op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_565])]) ).
fof(f14353,plain,
( spl52_526
<=> h1(op1(e13,e12)) = op2(h1(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_526])]) ).
fof(f15070,plain,
( e23 != h1(op1(e13,e12))
| ~ spl52_77
| ~ spl52_297
| spl52_526 ),
inference(forward_demodulation,[],[f14369,f2502]) ).
fof(f14369,plain,
( op2(e20,e23) != h1(op1(e13,e12))
| ~ spl52_77
| spl52_526 ),
inference(forward_demodulation,[],[f14355,f1225]) ).
fof(f14355,plain,
( h1(op1(e13,e12)) != op2(h1(e13),e23)
| spl52_526 ),
inference(avatar_component_clause,[],[f14353]) ).
fof(f15091,plain,
( ~ spl52_564
| ~ spl52_83
| ~ spl52_293
| ~ spl52_301
| spl52_496 ),
inference(avatar_split_clause,[],[f15041,f14117,f2522,f2466,f1254,f15088]) ).
fof(f15088,plain,
( spl52_564
<=> e22 = h2(op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_564])]) ).
fof(f14117,plain,
( spl52_496
<=> h2(op1(e13,e12)) = op2(h2(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_496])]) ).
fof(f15041,plain,
( e22 != h2(op1(e13,e12))
| ~ spl52_83
| ~ spl52_293
| ~ spl52_301
| spl52_496 ),
inference(forward_demodulation,[],[f15040,f2524]) ).
fof(f15040,plain,
( h4(e13) != h2(op1(e13,e12))
| ~ spl52_83
| ~ spl52_293
| spl52_496 ),
inference(forward_demodulation,[],[f14133,f1256]) ).
fof(f14133,plain,
( op2(e23,e23) != h2(op1(e13,e12))
| ~ spl52_293
| spl52_496 ),
inference(forward_demodulation,[],[f14119,f2467]) ).
fof(f14119,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e23)
| spl52_496 ),
inference(avatar_component_clause,[],[f14117]) ).
fof(f15085,plain,
( ~ spl52_88
| ~ spl52_351
| spl52_467 ),
inference(avatar_split_clause,[],[f15030,f11053,f6156,f1281]) ).
fof(f11053,plain,
( spl52_467
<=> e23 = h3(op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_467])]) ).
fof(f15030,plain,
( e23 != h3(e13)
| ~ spl52_351
| spl52_467 ),
inference(superposition,[],[f11054,f6158]) ).
fof(f11054,plain,
( e23 != h3(op1(e11,e13))
| spl52_467 ),
inference(avatar_component_clause,[],[f11053]) ).
fof(f15084,plain,
( ~ spl52_563
| ~ spl52_31
| ~ spl52_293
| ~ spl52_308
| spl52_510 ),
inference(avatar_split_clause,[],[f15039,f14232,f2597,f2466,f1015,f15081]) ).
fof(f15081,plain,
( spl52_563
<=> e20 = h2(op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_563])]) ).
fof(f2597,plain,
( spl52_308
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_308])]) ).
fof(f15039,plain,
( e20 != h2(op1(e13,e12))
| ~ spl52_31
| ~ spl52_293
| ~ spl52_308
| spl52_510 ),
inference(forward_demodulation,[],[f14242,f2599]) ).
fof(f2599,plain,
( e20 = op2(e23,e21)
| ~ spl52_308 ),
inference(avatar_component_clause,[],[f2597]) ).
fof(f14242,plain,
( op2(e23,e21) != h2(op1(e13,e12))
| ~ spl52_31
| ~ spl52_293
| spl52_510 ),
inference(forward_demodulation,[],[f14241,f2467]) ).
fof(f15069,plain,
( spl52_562
| ~ spl52_30
| ~ spl52_77
| ~ spl52_84
| ~ spl52_540 ),
inference(avatar_split_clause,[],[f15037,f14501,f1259,f1224,f1010,f15066]) ).
fof(f15066,plain,
( spl52_562
<=> e20 = h1(op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_562])]) ).
fof(f15037,plain,
( e20 = h1(op1(e13,e12))
| ~ spl52_30
| ~ spl52_77
| ~ spl52_84
| ~ spl52_540 ),
inference(forward_demodulation,[],[f15036,f1225]) ).
fof(f15036,plain,
( h1(e13) = h1(op1(e13,e12))
| ~ spl52_30
| ~ spl52_77
| ~ spl52_84
| ~ spl52_540 ),
inference(forward_demodulation,[],[f14551,f1261]) ).
fof(f14551,plain,
( op2(e20,e20) = h1(op1(e13,e12))
| ~ spl52_30
| ~ spl52_77
| ~ spl52_540 ),
inference(forward_demodulation,[],[f14550,f1225]) ).
fof(f14550,plain,
( h1(op1(e13,e12)) = op2(h1(e13),e20)
| ~ spl52_30
| ~ spl52_540 ),
inference(forward_demodulation,[],[f14502,f1012]) ).
fof(f14502,plain,
( h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
| ~ spl52_540 ),
inference(avatar_component_clause,[],[f14501]) ).
fof(f15033,plain,
( spl52_26
| spl52_24
| spl52_28
| ~ spl52_112
| ~ spl52_292
| ~ spl52_342
| ~ spl52_354 ),
inference(avatar_split_clause,[],[f14778,f6638,f3978,f2461,f1393,f1000,f980,f990]) ).
fof(f980,plain,
( spl52_24
<=> e10 = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_24])]) ).
fof(f1000,plain,
( spl52_28
<=> e12 = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_28])]) ).
fof(f2461,plain,
( spl52_292
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_292])]) ).
fof(f14778,plain,
( e12 = e13
| e10 = e12
| e11 = e12
| ~ spl52_112
| ~ spl52_292
| ~ spl52_342
| ~ spl52_354 ),
inference(forward_demodulation,[],[f14777,f1395]) ).
fof(f14777,plain,
( e10 = e12
| e11 = e12
| e12 = op1(e13,e10)
| ~ spl52_292
| ~ spl52_342
| ~ spl52_354 ),
inference(forward_demodulation,[],[f14776,f3980]) ).
fof(f14776,plain,
( e11 = e12
| e12 = op1(e13,e11)
| e12 = op1(e13,e10)
| ~ spl52_292
| ~ spl52_354 ),
inference(duplicate_literal_removal,[],[f14775]) ).
fof(f14775,plain,
( e11 = e12
| e11 = e12
| e12 = op1(e13,e11)
| e12 = op1(e13,e10)
| ~ spl52_292
| ~ spl52_354 ),
inference(forward_demodulation,[],[f7048,f6640]) ).
fof(f6640,plain,
( e11 = op1(e13,e12)
| ~ spl52_354 ),
inference(avatar_component_clause,[],[f6638]) ).
fof(f7048,plain,
( e11 = e12
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10)
| ~ spl52_292 ),
inference(forward_demodulation,[],[f414,f2463]) ).
fof(f2463,plain,
( e11 = op1(e13,e13)
| ~ spl52_292 ),
inference(avatar_component_clause,[],[f2461]) ).
fof(f414,plain,
( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f15003,plain,
( ~ spl52_451
| ~ spl52_288
| spl52_561 ),
inference(avatar_split_clause,[],[f14981,f14970,f2439,f10871]) ).
fof(f10871,plain,
( spl52_451
<=> e23 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_451])]) ).
fof(f14970,plain,
( spl52_561
<=> e23 = h3(op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_561])]) ).
fof(f14981,plain,
( e23 != h3(e12)
| ~ spl52_288
| spl52_561 ),
inference(forward_demodulation,[],[f14971,f2441]) ).
fof(f14971,plain,
( e23 != h3(op1(e10,e13))
| spl52_561 ),
inference(avatar_component_clause,[],[f14970]) ).
fof(f14980,plain,
( spl52_6
| ~ spl52_32
| ~ spl52_451 ),
inference(avatar_split_clause,[],[f14976,f10871,f1020,f890]) ).
fof(f14976,plain,
( e22 = e23
| ~ spl52_32
| ~ spl52_451 ),
inference(superposition,[],[f10872,f1022]) ).
fof(f10872,plain,
( e23 = h3(e12)
| ~ spl52_451 ),
inference(avatar_component_clause,[],[f10871]) ).
fof(f14975,plain,
( spl52_451
| ~ spl52_288
| ~ spl52_561 ),
inference(avatar_split_clause,[],[f14974,f14970,f2439,f10871]) ).
fof(f14974,plain,
( e23 = h3(e12)
| ~ spl52_288
| ~ spl52_561 ),
inference(forward_demodulation,[],[f14972,f2441]) ).
fof(f14972,plain,
( e23 = h3(op1(e10,e13))
| ~ spl52_561 ),
inference(avatar_component_clause,[],[f14970]) ).
fof(f14973,plain,
( spl52_561
| ~ spl52_54
| ~ spl52_297
| ~ spl52_387 ),
inference(avatar_split_clause,[],[f14671,f7718,f2500,f1118,f14970]) ).
fof(f7718,plain,
( spl52_387
<=> h3(op1(e10,e13)) = op2(h3(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_387])]) ).
fof(f14671,plain,
( e23 = h3(op1(e10,e13))
| ~ spl52_54
| ~ spl52_297
| ~ spl52_387 ),
inference(forward_demodulation,[],[f14031,f2502]) ).
fof(f14031,plain,
( op2(e20,e23) = h3(op1(e10,e13))
| ~ spl52_54
| ~ spl52_387 ),
inference(forward_demodulation,[],[f7719,f1119]) ).
fof(f7719,plain,
( h3(op1(e10,e13)) = op2(h3(e10),e23)
| ~ spl52_387 ),
inference(avatar_component_clause,[],[f7718]) ).
fof(f14963,plain,
( ~ spl52_31
| ~ spl52_288
| spl52_560 ),
inference(avatar_split_clause,[],[f14962,f14958,f2439,f1015]) ).
fof(f14962,plain,
( e21 != h2(e12)
| ~ spl52_288
| spl52_560 ),
inference(forward_demodulation,[],[f14960,f2441]) ).
fof(f14961,plain,
( ~ spl52_560
| ~ spl52_58
| ~ spl52_256
| ~ spl52_293
| spl52_485 ),
inference(avatar_split_clause,[],[f14670,f14073,f2466,f2143,f1136,f14958]) ).
fof(f14670,plain,
( e21 != h2(op1(e10,e13))
| ~ spl52_58
| ~ spl52_256
| ~ spl52_293
| spl52_485 ),
inference(forward_demodulation,[],[f14170,f13333]) ).
fof(f14170,plain,
( op2(e21,e23) != h2(op1(e10,e13))
| ~ spl52_58
| ~ spl52_293
| spl52_485 ),
inference(forward_demodulation,[],[f14169,f1137]) ).
fof(f14169,plain,
( h2(op1(e10,e13)) != op2(h2(e10),e23)
| ~ spl52_293
| spl52_485 ),
inference(forward_demodulation,[],[f14075,f2467]) ).
fof(f14954,plain,
( ~ spl52_559
| ~ spl52_83
| ~ spl52_293
| ~ spl52_301
| spl52_502 ),
inference(avatar_split_clause,[],[f14669,f14200,f2522,f2466,f1254,f14951]) ).
fof(f14951,plain,
( spl52_559
<=> e22 = h2(op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_559])]) ).
fof(f14200,plain,
( spl52_502
<=> h2(op1(e10,e13)) = op2(e23,h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_502])]) ).
fof(f14669,plain,
( e22 != h2(op1(e10,e13))
| ~ spl52_83
| ~ spl52_293
| ~ spl52_301
| spl52_502 ),
inference(forward_demodulation,[],[f14668,f2524]) ).
fof(f14668,plain,
( h4(e13) != h2(op1(e10,e13))
| ~ spl52_83
| ~ spl52_293
| spl52_502 ),
inference(forward_demodulation,[],[f14271,f1256]) ).
fof(f14271,plain,
( op2(e23,e23) != h2(op1(e10,e13))
| ~ spl52_293
| spl52_502 ),
inference(forward_demodulation,[],[f14202,f2467]) ).
fof(f14202,plain,
( h2(op1(e10,e13)) != op2(e23,h2(e13))
| spl52_502 ),
inference(avatar_component_clause,[],[f14200]) ).
fof(f14939,plain,
( ~ spl52_323
| ~ spl52_30
| ~ spl52_66
| ~ spl52_77
| ~ spl52_288
| spl52_515 ),
inference(avatar_split_clause,[],[f14929,f14309,f2439,f1224,f1172,f1010,f3041]) ).
fof(f14929,plain,
( e20 != op2(e20,e20)
| ~ spl52_30
| ~ spl52_66
| ~ spl52_77
| ~ spl52_288
| spl52_515 ),
inference(forward_demodulation,[],[f14928,f1012]) ).
fof(f14928,plain,
( op2(e20,e20) != h1(e12)
| ~ spl52_66
| ~ spl52_77
| ~ spl52_288
| spl52_515 ),
inference(forward_demodulation,[],[f14406,f2441]) ).
fof(f14406,plain,
( op2(e20,e20) != h1(op1(e10,e13))
| ~ spl52_66
| ~ spl52_77
| spl52_515 ),
inference(forward_demodulation,[],[f14405,f1173]) ).
fof(f14405,plain,
( h1(op1(e10,e13)) != op2(h1(e10),e20)
| ~ spl52_77
| spl52_515 ),
inference(forward_demodulation,[],[f14311,f1225]) ).
fof(f14311,plain,
( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| spl52_515 ),
inference(avatar_component_clause,[],[f14309]) ).
fof(f14937,plain,
( ~ spl52_30
| ~ spl52_288
| spl52_558 ),
inference(avatar_split_clause,[],[f14927,f14921,f2439,f1010]) ).
fof(f14927,plain,
( e20 != h1(e12)
| ~ spl52_288
| spl52_558 ),
inference(forward_demodulation,[],[f14922,f2441]) ).
fof(f14922,plain,
( e20 != h1(op1(e10,e13))
| spl52_558 ),
inference(avatar_component_clause,[],[f14921]) ).
fof(f14924,plain,
( spl52_558
| ~ spl52_66
| ~ spl52_77
| ~ spl52_84
| ~ spl52_515 ),
inference(avatar_split_clause,[],[f14667,f14309,f1259,f1224,f1172,f14921]) ).
fof(f14667,plain,
( e20 = h1(op1(e10,e13))
| ~ spl52_66
| ~ spl52_77
| ~ spl52_84
| ~ spl52_515 ),
inference(forward_demodulation,[],[f14666,f1225]) ).
fof(f14666,plain,
( h1(e13) = h1(op1(e10,e13))
| ~ spl52_66
| ~ spl52_77
| ~ spl52_84
| ~ spl52_515 ),
inference(forward_demodulation,[],[f14442,f1261]) ).
fof(f14442,plain,
( op2(e20,e20) = h1(op1(e10,e13))
| ~ spl52_66
| ~ spl52_77
| ~ spl52_515 ),
inference(forward_demodulation,[],[f14441,f1173]) ).
fof(f14441,plain,
( h1(op1(e10,e13)) = op2(h1(e10),e20)
| ~ spl52_77
| ~ spl52_515 ),
inference(forward_demodulation,[],[f14310,f1225]) ).
fof(f14916,plain,
( ~ spl52_322
| ~ spl52_46
| ~ spl52_301
| ~ spl52_346
| spl52_437 ),
inference(avatar_split_clause,[],[f14913,f10340,f5149,f2522,f1082,f3020]) ).
fof(f14913,plain,
( e22 != op2(e21,e20)
| ~ spl52_46
| ~ spl52_301
| ~ spl52_346
| spl52_437 ),
inference(forward_demodulation,[],[f14912,f2524]) ).
fof(f14912,plain,
( op2(e21,e20) != h4(e13)
| ~ spl52_46
| ~ spl52_346
| spl52_437 ),
inference(forward_demodulation,[],[f10344,f1083]) ).
fof(f10344,plain,
( h4(e13) != op2(h4(e10),e20)
| ~ spl52_346
| spl52_437 ),
inference(forward_demodulation,[],[f10342,f5151]) ).
fof(f10342,plain,
( h4(e13) != op2(h4(e10),h4(e11))
| spl52_437 ),
inference(avatar_component_clause,[],[f10340]) ).
fof(f14911,plain,
( ~ spl52_322
| ~ spl52_46
| ~ spl52_301
| spl52_417 ),
inference(avatar_split_clause,[],[f10367,f9065,f2522,f1082,f3020]) ).
fof(f10367,plain,
( e22 != op2(e21,e20)
| ~ spl52_46
| ~ spl52_301
| spl52_417 ),
inference(forward_demodulation,[],[f10356,f2524]) ).
fof(f10356,plain,
( op2(e21,e20) != h4(e13)
| ~ spl52_46
| spl52_417 ),
inference(superposition,[],[f9067,f1083]) ).
fof(f9067,plain,
( h4(e13) != op2(h4(e10),e20)
| spl52_417 ),
inference(avatar_component_clause,[],[f9065]) ).
fof(f14909,plain,
( ~ spl52_557
| ~ spl52_77
| ~ spl52_277
| spl52_545 ),
inference(avatar_split_clause,[],[f14665,f14583,f2295,f1224,f14906]) ).
fof(f14906,plain,
( spl52_557
<=> e23 = h1(op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_557])]) ).
fof(f2295,plain,
( spl52_277
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_277])]) ).
fof(f14583,plain,
( spl52_545
<=> h1(op1(e10,e13)) = op2(e23,h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_545])]) ).
fof(f14665,plain,
( e23 != h1(op1(e10,e13))
| ~ spl52_77
| ~ spl52_277
| spl52_545 ),
inference(forward_demodulation,[],[f14628,f2297]) ).
fof(f2297,plain,
( e23 = op2(e23,e20)
| ~ spl52_277 ),
inference(avatar_component_clause,[],[f2295]) ).
fof(f14628,plain,
( op2(e23,e20) != h1(op1(e10,e13))
| ~ spl52_77
| spl52_545 ),
inference(forward_demodulation,[],[f14585,f1225]) ).
fof(f14585,plain,
( h1(op1(e10,e13)) != op2(e23,h1(e13))
| spl52_545 ),
inference(avatar_component_clause,[],[f14583]) ).
fof(f14903,plain,
( ~ spl52_556
| ~ spl52_83
| ~ spl52_293
| ~ spl52_301
| spl52_497 ),
inference(avatar_split_clause,[],[f14664,f14121,f2522,f2466,f1254,f14900]) ).
fof(f14900,plain,
( spl52_556
<=> e22 = h2(op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_556])]) ).
fof(f14121,plain,
( spl52_497
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_497])]) ).
fof(f14664,plain,
( e22 != h2(op1(e13,e13))
| ~ spl52_83
| ~ spl52_293
| ~ spl52_301
| spl52_497 ),
inference(forward_demodulation,[],[f14663,f2524]) ).
fof(f14663,plain,
( h4(e13) != h2(op1(e13,e13))
| ~ spl52_83
| ~ spl52_293
| spl52_497 ),
inference(forward_demodulation,[],[f14130,f1256]) ).
fof(f14130,plain,
( op2(e23,e23) != h2(op1(e13,e13))
| ~ spl52_293
| spl52_497 ),
inference(forward_demodulation,[],[f14123,f2467]) ).
fof(f14123,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl52_497 ),
inference(avatar_component_clause,[],[f14121]) ).
fof(f14897,plain,
( spl52_555
| ~ spl52_77
| ~ spl52_84
| ~ spl52_527 ),
inference(avatar_split_clause,[],[f14662,f14357,f1259,f1224,f14894]) ).
fof(f14662,plain,
( e20 = h1(op1(e13,e13))
| ~ spl52_77
| ~ spl52_84
| ~ spl52_527 ),
inference(forward_demodulation,[],[f14661,f1225]) ).
fof(f14661,plain,
( h1(e13) = h1(op1(e13,e13))
| ~ spl52_77
| ~ spl52_84
| ~ spl52_527 ),
inference(forward_demodulation,[],[f14420,f1261]) ).
fof(f14420,plain,
( op2(e20,e20) = h1(op1(e13,e13))
| ~ spl52_77
| ~ spl52_527 ),
inference(forward_demodulation,[],[f14358,f1225]) ).
fof(f14891,plain,
( ~ spl52_554
| ~ spl52_83
| ~ spl52_85
| ~ spl52_281
| ~ spl52_293
| ~ spl52_301
| spl52_489 ),
inference(avatar_split_clause,[],[f14659,f14089,f2522,f2466,f2330,f1264,f1254,f14888]) ).
fof(f14888,plain,
( spl52_554
<=> e22 = h2(op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_554])]) ).
fof(f14089,plain,
( spl52_489
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_489])]) ).
fof(f14659,plain,
( e22 != h2(op1(e11,e13))
| ~ spl52_83
| ~ spl52_85
| ~ spl52_281
| ~ spl52_293
| ~ spl52_301
| spl52_489 ),
inference(forward_demodulation,[],[f14658,f2524]) ).
fof(f14658,plain,
( h4(e13) != h2(op1(e11,e13))
| ~ spl52_83
| ~ spl52_85
| ~ spl52_281
| ~ spl52_293
| spl52_489 ),
inference(forward_demodulation,[],[f14155,f1256]) ).
fof(f14155,plain,
( op2(e23,e23) != h2(op1(e11,e13))
| ~ spl52_85
| ~ spl52_281
| ~ spl52_293
| spl52_489 ),
inference(forward_demodulation,[],[f14154,f6033]) ).
fof(f14154,plain,
( h2(op1(e11,e13)) != op2(h2(e11),e23)
| ~ spl52_293
| spl52_489 ),
inference(forward_demodulation,[],[f14091,f2467]) ).
fof(f14091,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl52_489 ),
inference(avatar_component_clause,[],[f14089]) ).
fof(f14879,plain,
( ~ spl52_323
| ~ spl52_66
| ~ spl52_77
| ~ spl52_266
| ~ spl52_323
| ~ spl52_351
| spl52_519 ),
inference(avatar_split_clause,[],[f14869,f14325,f6156,f3041,f2218,f1224,f1172,f3041]) ).
fof(f14869,plain,
( e20 != op2(e20,e20)
| ~ spl52_66
| ~ spl52_77
| ~ spl52_266
| ~ spl52_323
| ~ spl52_351
| spl52_519 ),
inference(forward_demodulation,[],[f14868,f1225]) ).
fof(f14868,plain,
( op2(e20,e20) != h1(e13)
| ~ spl52_66
| ~ spl52_77
| ~ spl52_266
| ~ spl52_323
| ~ spl52_351
| spl52_519 ),
inference(forward_demodulation,[],[f14392,f6158]) ).
fof(f14392,plain,
( op2(e20,e20) != h1(op1(e11,e13))
| ~ spl52_66
| ~ spl52_77
| ~ spl52_266
| ~ spl52_323
| spl52_519 ),
inference(forward_demodulation,[],[f14391,f5546]) ).
fof(f14391,plain,
( h1(op1(e11,e13)) != op2(h1(e11),e20)
| ~ spl52_77
| spl52_519 ),
inference(forward_demodulation,[],[f14327,f1225]) ).
fof(f14327,plain,
( h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| spl52_519 ),
inference(avatar_component_clause,[],[f14325]) ).
fof(f14877,plain,
( ~ spl52_77
| ~ spl52_351
| spl52_553 ),
inference(avatar_split_clause,[],[f14867,f14862,f6156,f1224]) ).
fof(f14867,plain,
( e20 != h1(e13)
| ~ spl52_351
| spl52_553 ),
inference(forward_demodulation,[],[f14863,f6158]) ).
fof(f14863,plain,
( e20 != h1(op1(e11,e13))
| spl52_553 ),
inference(avatar_component_clause,[],[f14862]) ).
fof(f14865,plain,
( spl52_553
| ~ spl52_66
| ~ spl52_77
| ~ spl52_84
| ~ spl52_266
| ~ spl52_323
| ~ spl52_519 ),
inference(avatar_split_clause,[],[f14657,f14325,f3041,f2218,f1259,f1224,f1172,f14862]) ).
fof(f14657,plain,
( e20 = h1(op1(e11,e13))
| ~ spl52_66
| ~ spl52_77
| ~ spl52_84
| ~ spl52_266
| ~ spl52_323
| ~ spl52_519 ),
inference(forward_demodulation,[],[f14656,f1225]) ).
fof(f14656,plain,
( h1(e13) = h1(op1(e11,e13))
| ~ spl52_66
| ~ spl52_77
| ~ spl52_84
| ~ spl52_266
| ~ spl52_323
| ~ spl52_519 ),
inference(forward_demodulation,[],[f14446,f1261]) ).
fof(f14446,plain,
( op2(e20,e20) = h1(op1(e11,e13))
| ~ spl52_66
| ~ spl52_77
| ~ spl52_266
| ~ spl52_323
| ~ spl52_519 ),
inference(forward_demodulation,[],[f14445,f5546]) ).
fof(f14445,plain,
( h1(op1(e11,e13)) = op2(h1(e11),e20)
| ~ spl52_77
| ~ spl52_519 ),
inference(forward_demodulation,[],[f14326,f1225]) ).
fof(f14859,plain,
( ~ spl52_552
| ~ spl52_77
| ~ spl52_277
| spl52_534 ),
inference(avatar_split_clause,[],[f14655,f14477,f2295,f1224,f14856]) ).
fof(f14856,plain,
( spl52_552
<=> e23 = h1(op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_552])]) ).
fof(f14477,plain,
( spl52_534
<=> h1(op1(e11,e13)) = op2(e23,h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_534])]) ).
fof(f14655,plain,
( e23 != h1(op1(e11,e13))
| ~ spl52_77
| ~ spl52_277
| spl52_534 ),
inference(forward_demodulation,[],[f14531,f2297]) ).
fof(f14531,plain,
( op2(e23,e20) != h1(op1(e11,e13))
| ~ spl52_77
| spl52_534 ),
inference(forward_demodulation,[],[f14479,f1225]) ).
fof(f14479,plain,
( h1(op1(e11,e13)) != op2(e23,h1(e13))
| spl52_534 ),
inference(avatar_component_clause,[],[f14477]) ).
fof(f14850,plain,
( ~ spl52_310
| ~ spl52_46
| ~ spl52_346
| spl52_406 ),
inference(avatar_split_clause,[],[f10366,f8679,f5149,f1082,f2609]) ).
fof(f10366,plain,
( e20 != op2(e21,e22)
| ~ spl52_46
| ~ spl52_346
| spl52_406 ),
inference(forward_demodulation,[],[f10350,f5151]) ).
fof(f10350,plain,
( op2(e21,e22) != h4(e11)
| ~ spl52_46
| spl52_406 ),
inference(superposition,[],[f8681,f1083]) ).
fof(f8681,plain,
( h4(e11) != op2(h4(e10),e22)
| spl52_406 ),
inference(avatar_component_clause,[],[f8679]) ).
fof(f14817,plain,
( spl52_2
| ~ spl52_301
| ~ spl52_362
| ~ spl52_403
| ~ spl52_465 ),
inference(avatar_split_clause,[],[f14736,f11041,f8651,f7468,f2522,f870]) ).
fof(f7468,plain,
( spl52_362
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_362])]) ).
fof(f8651,plain,
( spl52_403
<=> e22 = op2(h4(e11),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_403])]) ).
fof(f11041,plain,
( spl52_465
<=> e20 = h4(op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_465])]) ).
fof(f14736,plain,
( e20 = e22
| ~ spl52_301
| ~ spl52_362
| ~ spl52_403
| ~ spl52_465 ),
inference(forward_demodulation,[],[f9612,f11042]) ).
fof(f11042,plain,
( e20 = h4(op1(e11,e13))
| ~ spl52_465 ),
inference(avatar_component_clause,[],[f11041]) ).
fof(f9612,plain,
( e22 = h4(op1(e11,e13))
| ~ spl52_301
| ~ spl52_362
| ~ spl52_403 ),
inference(forward_demodulation,[],[f8180,f8653]) ).
fof(f8653,plain,
( e22 = op2(h4(e11),e22)
| ~ spl52_403 ),
inference(avatar_component_clause,[],[f8651]) ).
fof(f8180,plain,
( h4(op1(e11,e13)) = op2(h4(e11),e22)
| ~ spl52_301
| ~ spl52_362 ),
inference(forward_demodulation,[],[f7469,f2524]) ).
fof(f7469,plain,
( h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
| ~ spl52_362 ),
inference(avatar_component_clause,[],[f7468]) ).
fof(f14652,plain,
( ~ spl52_160
| ~ spl52_54
| ~ spl52_270
| ~ spl52_329
| spl52_385 ),
inference(avatar_split_clause,[],[f13771,f7710,f3131,f2244,f1118,f1637]) ).
fof(f7710,plain,
( spl52_385
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_385])]) ).
fof(f13771,plain,
( e21 != op2(e20,e21)
| ~ spl52_54
| ~ spl52_270
| ~ spl52_329
| spl52_385 ),
inference(forward_demodulation,[],[f13770,f2246]) ).
fof(f13770,plain,
( op2(e20,e21) != h3(e11)
| ~ spl52_54
| ~ spl52_270
| ~ spl52_329
| spl52_385 ),
inference(forward_demodulation,[],[f13175,f3133]) ).
fof(f13175,plain,
( op2(e20,e21) != h3(op1(e10,e11))
| ~ spl52_54
| ~ spl52_270
| spl52_385 ),
inference(forward_demodulation,[],[f10584,f1119]) ).
fof(f10584,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e21)
| ~ spl52_270
| spl52_385 ),
inference(forward_demodulation,[],[f7712,f2246]) ).
fof(f7712,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl52_385 ),
inference(avatar_component_clause,[],[f7710]) ).
fof(f14648,plain,
( ~ spl52_160
| ~ spl52_46
| spl52_416 ),
inference(avatar_split_clause,[],[f10355,f9058,f1082,f1637]) ).
fof(f9058,plain,
( spl52_416
<=> h4(e10) = op2(e20,h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_416])]) ).
fof(f10355,plain,
( e21 != op2(e20,e21)
| ~ spl52_46
| spl52_416 ),
inference(superposition,[],[f9060,f1083]) ).
fof(f9060,plain,
( h4(e10) != op2(e20,h4(e10))
| spl52_416 ),
inference(avatar_component_clause,[],[f9058]) ).
fof(f14643,plain,
( ~ spl52_323
| ~ spl52_30
| ~ spl52_66
| ~ spl52_266
| ~ spl52_323
| ~ spl52_338
| spl52_547 ),
inference(avatar_split_clause,[],[f14624,f14591,f3607,f3041,f2218,f1172,f1010,f3041]) ).
fof(f14624,plain,
( e20 != op2(e20,e20)
| ~ spl52_30
| ~ spl52_66
| ~ spl52_266
| ~ spl52_323
| ~ spl52_338
| spl52_547 ),
inference(forward_demodulation,[],[f14623,f1173]) ).
fof(f14623,plain,
( op2(e20,e20) != h1(e10)
| ~ spl52_30
| ~ spl52_66
| ~ spl52_266
| ~ spl52_323
| ~ spl52_338
| spl52_547 ),
inference(forward_demodulation,[],[f14622,f3609]) ).
fof(f14622,plain,
( op2(e20,e20) != h1(op1(e11,e12))
| ~ spl52_30
| ~ spl52_66
| ~ spl52_266
| ~ spl52_323
| spl52_547 ),
inference(forward_demodulation,[],[f14621,f5546]) ).
fof(f14621,plain,
( h1(op1(e11,e12)) != op2(h1(e11),e20)
| ~ spl52_30
| spl52_547 ),
inference(forward_demodulation,[],[f14593,f1012]) ).
fof(f14593,plain,
( h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| spl52_547 ),
inference(avatar_component_clause,[],[f14591]) ).
fof(f14638,plain,
( ~ spl52_323
| ~ spl52_30
| ~ spl52_66
| ~ spl52_114
| ~ spl52_266
| ~ spl52_323
| spl52_549 ),
inference(avatar_split_clause,[],[f14617,f14599,f3041,f2218,f1402,f1172,f1010,f3041]) ).
fof(f14617,plain,
( e20 != op2(e20,e20)
| ~ spl52_30
| ~ spl52_66
| ~ spl52_114
| ~ spl52_266
| ~ spl52_323
| spl52_549 ),
inference(forward_demodulation,[],[f14616,f1012]) ).
fof(f14616,plain,
( op2(e20,e20) != h1(e12)
| ~ spl52_30
| ~ spl52_66
| ~ spl52_114
| ~ spl52_266
| ~ spl52_323
| spl52_549 ),
inference(forward_demodulation,[],[f14615,f1404]) ).
fof(f14615,plain,
( op2(e20,e20) != h1(op1(e12,e11))
| ~ spl52_30
| ~ spl52_66
| ~ spl52_266
| ~ spl52_323
| spl52_549 ),
inference(forward_demodulation,[],[f14614,f1012]) ).
fof(f14614,plain,
( h1(op1(e12,e11)) != op2(h1(e12),e20)
| ~ spl52_66
| ~ spl52_266
| ~ spl52_323
| spl52_549 ),
inference(forward_demodulation,[],[f14601,f5546]) ).
fof(f14610,plain,
( ~ spl52_542
| ~ spl52_543
| ~ spl52_544
| ~ spl52_545
| ~ spl52_546
| ~ spl52_517
| ~ spl52_547
| ~ spl52_519
| ~ spl52_548
| ~ spl52_549
| ~ spl52_537
| ~ spl52_538
| ~ spl52_550
| ~ spl52_525
| ~ spl52_540
| ~ spl52_527
| spl52_65
| spl52_63
| spl52_61
| ~ spl52_551 ),
inference(avatar_split_clause,[],[f685,f14607,f1150,f1159,f1168,f14357,f14501,f14349,f14603,f14493,f14489,f14599,f14595,f14325,f14591,f14317,f14587,f14583,f14579,f14575,f14571]) ).
fof(f14571,plain,
( spl52_542
<=> op2(e23,e23) = h1(op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_542])]) ).
fof(f14579,plain,
( spl52_544
<=> h1(op1(e10,e12)) = op2(e23,h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_544])]) ).
fof(f14489,plain,
( spl52_537
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_537])]) ).
fof(f14493,plain,
( spl52_538
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_538])]) ).
fof(f1168,plain,
( spl52_65
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_65])]) ).
fof(f1159,plain,
( spl52_63
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_63])]) ).
fof(f1150,plain,
( spl52_61
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_61])]) ).
fof(f14607,plain,
( spl52_551
<=> e23 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_551])]) ).
fof(f685,plain,
( 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),e23)
| 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),e23)
| 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),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10)) ),
inference(inner_rewriting,[],[f176]) ).
fof(f176,plain,
( 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(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/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f14567,plain,
( ~ spl52_323
| ~ spl52_30
| ~ spl52_68
| ~ spl52_77
| spl52_537 ),
inference(avatar_split_clause,[],[f14523,f14489,f1224,f1182,f1010,f3041]) ).
fof(f14523,plain,
( e20 != op2(e20,e20)
| ~ spl52_30
| ~ spl52_68
| ~ spl52_77
| spl52_537 ),
inference(forward_demodulation,[],[f14522,f1225]) ).
fof(f14522,plain,
( op2(e20,e20) != h1(e13)
| ~ spl52_30
| ~ spl52_68
| spl52_537 ),
inference(forward_demodulation,[],[f14521,f1184]) ).
fof(f14521,plain,
( op2(e20,e20) != h1(op1(e12,e12))
| ~ spl52_30
| spl52_537 ),
inference(forward_demodulation,[],[f14491,f1012]) ).
fof(f14491,plain,
( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| spl52_537 ),
inference(avatar_component_clause,[],[f14489]) ).
fof(f14563,plain,
( ~ spl52_323
| ~ spl52_30
| ~ spl52_66
| ~ spl52_259
| ~ spl52_266
| ~ spl52_323
| spl52_535 ),
inference(avatar_split_clause,[],[f14530,f14481,f3041,f2218,f2170,f1172,f1010,f3041]) ).
fof(f14481,plain,
( spl52_535
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_535])]) ).
fof(f14530,plain,
( e20 != op2(e20,e20)
| ~ spl52_30
| ~ spl52_66
| ~ spl52_259
| ~ spl52_266
| ~ spl52_323
| spl52_535 ),
inference(forward_demodulation,[],[f14529,f5546]) ).
fof(f14529,plain,
( op2(e20,e20) != h1(e11)
| ~ spl52_30
| ~ spl52_66
| ~ spl52_259
| spl52_535 ),
inference(forward_demodulation,[],[f14528,f2172]) ).
fof(f14528,plain,
( op2(e20,e20) != h1(op1(e12,e10))
| ~ spl52_30
| ~ spl52_66
| spl52_535 ),
inference(forward_demodulation,[],[f14527,f1012]) ).
fof(f14527,plain,
( h1(op1(e12,e10)) != op2(h1(e12),e20)
| ~ spl52_66
| spl52_535 ),
inference(forward_demodulation,[],[f14483,f1173]) ).
fof(f14483,plain,
( h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| spl52_535 ),
inference(avatar_component_clause,[],[f14481]) ).
fof(f14558,plain,
( ~ spl52_323
| ~ spl52_30
| ~ spl52_66
| ~ spl52_69
| ~ spl52_77
| spl52_538 ),
inference(avatar_split_clause,[],[f14520,f14493,f1224,f1187,f1172,f1010,f3041]) ).
fof(f14520,plain,
( e20 != op2(e20,e20)
| ~ spl52_30
| ~ spl52_66
| ~ spl52_69
| ~ spl52_77
| spl52_538 ),
inference(forward_demodulation,[],[f14519,f1173]) ).
fof(f14519,plain,
( op2(e20,e20) != h1(e10)
| ~ spl52_30
| ~ spl52_69
| ~ spl52_77
| spl52_538 ),
inference(forward_demodulation,[],[f14518,f1189]) ).
fof(f14518,plain,
( op2(e20,e20) != h1(op1(e12,e13))
| ~ spl52_30
| ~ spl52_77
| spl52_538 ),
inference(forward_demodulation,[],[f14517,f1012]) ).
fof(f14517,plain,
( h1(op1(e12,e13)) != op2(h1(e12),e20)
| ~ spl52_77
| spl52_538 ),
inference(forward_demodulation,[],[f14495,f1225]) ).
fof(f14495,plain,
( h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| spl52_538 ),
inference(avatar_component_clause,[],[f14493]) ).
fof(f14553,plain,
( ~ spl52_323
| ~ spl52_30
| ~ spl52_66
| ~ spl52_294
| spl52_530 ),
inference(avatar_split_clause,[],[f14545,f14461,f2478,f1172,f1010,f3041]) ).
fof(f14545,plain,
( e20 != op2(e20,e20)
| ~ spl52_30
| ~ spl52_66
| ~ spl52_294
| spl52_530 ),
inference(forward_demodulation,[],[f14544,f1012]) ).
fof(f14544,plain,
( op2(e20,e20) != h1(e12)
| ~ spl52_30
| ~ spl52_66
| ~ spl52_294
| spl52_530 ),
inference(forward_demodulation,[],[f14543,f2480]) ).
fof(f14543,plain,
( op2(e20,e20) != h1(op1(e10,e12))
| ~ spl52_30
| ~ spl52_66
| spl52_530 ),
inference(forward_demodulation,[],[f14542,f1173]) ).
fof(f14542,plain,
( h1(op1(e10,e12)) != op2(h1(e10),e20)
| ~ spl52_30
| spl52_530 ),
inference(forward_demodulation,[],[f14463,f1012]) ).
fof(f14549,plain,
( ~ spl52_323
| ~ spl52_30
| ~ spl52_66
| ~ spl52_77
| ~ spl52_266
| ~ spl52_323
| ~ spl52_354
| spl52_540 ),
inference(avatar_split_clause,[],[f14513,f14501,f6638,f3041,f2218,f1224,f1172,f1010,f3041]) ).
fof(f14513,plain,
( e20 != op2(e20,e20)
| ~ spl52_30
| ~ spl52_66
| ~ spl52_77
| ~ spl52_266
| ~ spl52_323
| ~ spl52_354
| spl52_540 ),
inference(forward_demodulation,[],[f14512,f5546]) ).
fof(f14512,plain,
( op2(e20,e20) != h1(e11)
| ~ spl52_30
| ~ spl52_77
| ~ spl52_354
| spl52_540 ),
inference(forward_demodulation,[],[f14511,f6640]) ).
fof(f14511,plain,
( op2(e20,e20) != h1(op1(e13,e12))
| ~ spl52_30
| ~ spl52_77
| spl52_540 ),
inference(forward_demodulation,[],[f14510,f1225]) ).
fof(f14510,plain,
( h1(op1(e13,e12)) != op2(h1(e13),e20)
| ~ spl52_30
| spl52_540 ),
inference(forward_demodulation,[],[f14503,f1012]) ).
fof(f14508,plain,
( ~ spl52_512
| ~ spl52_529
| ~ spl52_530
| ~ spl52_515
| ~ spl52_531
| ~ spl52_532
| ~ spl52_533
| ~ spl52_534
| ~ spl52_535
| ~ spl52_536
| ~ spl52_537
| ~ spl52_538
| ~ spl52_524
| ~ spl52_539
| ~ spl52_540
| ~ spl52_527
| spl52_65
| spl52_63
| spl52_61
| ~ spl52_541 ),
inference(avatar_split_clause,[],[f684,f14505,f1150,f1159,f1168,f14357,f14501,f14497,f14345,f14493,f14489,f14485,f14481,f14477,f14473,f14469,f14465,f14309,f14461,f14457,f14297]) ).
fof(f14457,plain,
( spl52_529
<=> h1(op1(e10,e11)) = op2(h1(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_529])]) ).
fof(f14465,plain,
( spl52_531
<=> h1(op1(e11,e10)) = op2(e23,h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_531])]) ).
fof(f14473,plain,
( spl52_533
<=> h1(op1(e11,e12)) = op2(e23,h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_533])]) ).
fof(f14485,plain,
( spl52_536
<=> h1(op1(e12,e11)) = op2(h1(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_536])]) ).
fof(f14505,plain,
( spl52_541
<=> e23 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_541])]) ).
fof(f684,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,[],[f177]) ).
fof(f177,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(f14453,plain,
( ~ spl52_323
| ~ spl52_66
| ~ spl52_77
| ~ spl52_266
| ~ spl52_323
| ~ spl52_352
| spl52_517 ),
inference(avatar_split_clause,[],[f14400,f14317,f6191,f3041,f2218,f1224,f1172,f3041]) ).
fof(f14400,plain,
( e20 != op2(e20,e20)
| ~ spl52_66
| ~ spl52_77
| ~ spl52_266
| ~ spl52_323
| ~ spl52_352
| spl52_517 ),
inference(forward_demodulation,[],[f14399,f1225]) ).
fof(f14399,plain,
( op2(e20,e20) != h1(e13)
| ~ spl52_66
| ~ spl52_266
| ~ spl52_323
| ~ spl52_352
| spl52_517 ),
inference(forward_demodulation,[],[f14398,f6193]) ).
fof(f14398,plain,
( op2(e20,e20) != h1(op1(e11,e11))
| ~ spl52_66
| ~ spl52_266
| ~ spl52_323
| spl52_517 ),
inference(forward_demodulation,[],[f14319,f5546]) ).
fof(f14319,plain,
( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| spl52_517 ),
inference(avatar_component_clause,[],[f14317]) ).
fof(f14448,plain,
( ~ spl52_323
| ~ spl52_30
| ~ spl52_66
| ~ spl52_266
| ~ spl52_323
| ~ spl52_334
| spl52_516 ),
inference(avatar_split_clause,[],[f14404,f14313,f3488,f3041,f2218,f1172,f1010,f3041]) ).
fof(f14404,plain,
( e20 != op2(e20,e20)
| ~ spl52_30
| ~ spl52_66
| ~ spl52_266
| ~ spl52_323
| ~ spl52_334
| spl52_516 ),
inference(forward_demodulation,[],[f14403,f1012]) ).
fof(f14403,plain,
( op2(e20,e20) != h1(e12)
| ~ spl52_66
| ~ spl52_266
| ~ spl52_323
| ~ spl52_334
| spl52_516 ),
inference(forward_demodulation,[],[f14402,f3490]) ).
fof(f14402,plain,
( op2(e20,e20) != h1(op1(e11,e10))
| ~ spl52_66
| ~ spl52_266
| ~ spl52_323
| spl52_516 ),
inference(forward_demodulation,[],[f14401,f5546]) ).
fof(f14401,plain,
( h1(op1(e11,e10)) != op2(h1(e11),e20)
| ~ spl52_66
| spl52_516 ),
inference(forward_demodulation,[],[f14315,f1173]) ).
fof(f14444,plain,
( ~ spl52_323
| ~ spl52_66
| ~ spl52_77
| ~ spl52_118
| ~ spl52_266
| ~ spl52_323
| spl52_519 ),
inference(avatar_split_clause,[],[f14394,f14325,f3041,f2218,f1420,f1224,f1172,f3041]) ).
fof(f14394,plain,
( e20 != op2(e20,e20)
| ~ spl52_66
| ~ spl52_77
| ~ spl52_118
| ~ spl52_266
| ~ spl52_323
| spl52_519 ),
inference(forward_demodulation,[],[f14393,f5546]) ).
fof(f14393,plain,
( op2(e20,e20) != h1(e11)
| ~ spl52_66
| ~ spl52_77
| ~ spl52_118
| ~ spl52_266
| ~ spl52_323
| spl52_519 ),
inference(forward_demodulation,[],[f14392,f1422]) ).
fof(f14440,plain,
( ~ spl52_323
| ~ spl52_66
| ~ spl52_77
| ~ spl52_350
| spl52_515 ),
inference(avatar_split_clause,[],[f14408,f14309,f6152,f1224,f1172,f3041]) ).
fof(f14408,plain,
( e20 != op2(e20,e20)
| ~ spl52_66
| ~ spl52_77
| ~ spl52_350
| spl52_515 ),
inference(forward_demodulation,[],[f14407,f1225]) ).
fof(f14407,plain,
( op2(e20,e20) != h1(e13)
| ~ spl52_66
| ~ spl52_77
| ~ spl52_350
| spl52_515 ),
inference(forward_demodulation,[],[f14406,f6154]) ).
fof(f14436,plain,
( ~ spl52_323
| ~ spl52_66
| ~ spl52_77
| ~ spl52_112
| spl52_524 ),
inference(avatar_split_clause,[],[f14379,f14345,f1393,f1224,f1172,f3041]) ).
fof(f14379,plain,
( e20 != op2(e20,e20)
| ~ spl52_66
| ~ spl52_77
| ~ spl52_112
| spl52_524 ),
inference(forward_demodulation,[],[f14378,f1225]) ).
fof(f14378,plain,
( op2(e20,e20) != h1(e13)
| ~ spl52_66
| ~ spl52_77
| ~ spl52_112
| spl52_524 ),
inference(forward_demodulation,[],[f14377,f1395]) ).
fof(f14377,plain,
( op2(e20,e20) != h1(op1(e13,e10))
| ~ spl52_66
| ~ spl52_77
| spl52_524 ),
inference(forward_demodulation,[],[f14376,f1225]) ).
fof(f14376,plain,
( h1(op1(e13,e10)) != op2(h1(e13),e20)
| ~ spl52_66
| spl52_524 ),
inference(forward_demodulation,[],[f14347,f1173]) ).
fof(f14347,plain,
( h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| spl52_524 ),
inference(avatar_component_clause,[],[f14345]) ).
fof(f14432,plain,
( ~ spl52_323
| ~ spl52_66
| ~ spl52_266
| ~ spl52_323
| ~ spl52_329
| spl52_513 ),
inference(avatar_split_clause,[],[f14415,f14301,f3131,f3041,f2218,f1172,f3041]) ).
fof(f14415,plain,
( e20 != op2(e20,e20)
| ~ spl52_66
| ~ spl52_266
| ~ spl52_323
| ~ spl52_329
| spl52_513 ),
inference(forward_demodulation,[],[f14414,f5546]) ).
fof(f14414,plain,
( op2(e20,e20) != h1(e11)
| ~ spl52_66
| ~ spl52_266
| ~ spl52_323
| ~ spl52_329
| spl52_513 ),
inference(forward_demodulation,[],[f14413,f3133]) ).
fof(f14413,plain,
( op2(e20,e20) != h1(op1(e10,e11))
| ~ spl52_66
| ~ spl52_266
| ~ spl52_323
| spl52_513 ),
inference(forward_demodulation,[],[f14412,f1173]) ).
fof(f14412,plain,
( h1(op1(e10,e11)) != op2(h1(e10),e20)
| ~ spl52_66
| ~ spl52_266
| ~ spl52_323
| spl52_513 ),
inference(forward_demodulation,[],[f14303,f5546]) ).
fof(f14303,plain,
( h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| spl52_513 ),
inference(avatar_component_clause,[],[f14301]) ).
fof(f14427,plain,
( ~ spl52_323
| ~ spl52_66
| ~ spl52_77
| ~ spl52_266
| ~ spl52_323
| ~ spl52_342
| spl52_525 ),
inference(avatar_split_clause,[],[f14375,f14349,f3978,f3041,f2218,f1224,f1172,f3041]) ).
fof(f14375,plain,
( e20 != op2(e20,e20)
| ~ spl52_66
| ~ spl52_77
| ~ spl52_266
| ~ spl52_323
| ~ spl52_342
| spl52_525 ),
inference(forward_demodulation,[],[f14374,f1173]) ).
fof(f14374,plain,
( op2(e20,e20) != h1(e10)
| ~ spl52_66
| ~ spl52_77
| ~ spl52_266
| ~ spl52_323
| ~ spl52_342
| spl52_525 ),
inference(forward_demodulation,[],[f14373,f3980]) ).
fof(f14373,plain,
( op2(e20,e20) != h1(op1(e13,e11))
| ~ spl52_66
| ~ spl52_77
| ~ spl52_266
| ~ spl52_323
| spl52_525 ),
inference(forward_demodulation,[],[f14372,f1225]) ).
fof(f14372,plain,
( h1(op1(e13,e11)) != op2(h1(e13),e20)
| ~ spl52_66
| ~ spl52_266
| ~ spl52_323
| spl52_525 ),
inference(forward_demodulation,[],[f14351,f5546]) ).
fof(f14423,plain,
( ~ spl52_323
| ~ spl52_66
| ~ spl52_103
| spl52_512 ),
inference(avatar_split_clause,[],[f14418,f14297,f1350,f1172,f3041]) ).
fof(f14418,plain,
( e20 != op2(e20,e20)
| ~ spl52_66
| ~ spl52_103
| spl52_512 ),
inference(forward_demodulation,[],[f14417,f1173]) ).
fof(f14417,plain,
( op2(e20,e20) != h1(e10)
| ~ spl52_66
| ~ spl52_103
| spl52_512 ),
inference(forward_demodulation,[],[f14416,f1352]) ).
fof(f14416,plain,
( op2(e20,e20) != h1(op1(e10,e10))
| ~ spl52_66
| spl52_512 ),
inference(forward_demodulation,[],[f14299,f1173]) ).
fof(f14299,plain,
( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| spl52_512 ),
inference(avatar_component_clause,[],[f14297]) ).
fof(f14419,plain,
( ~ spl52_323
| ~ spl52_30
| ~ spl52_77
| ~ spl52_290
| spl52_527 ),
inference(avatar_split_clause,[],[f14368,f14357,f2447,f1224,f1010,f3041]) ).
fof(f14368,plain,
( e20 != op2(e20,e20)
| ~ spl52_30
| ~ spl52_77
| ~ spl52_290
| spl52_527 ),
inference(forward_demodulation,[],[f14367,f1012]) ).
fof(f14367,plain,
( op2(e20,e20) != h1(e12)
| ~ spl52_77
| ~ spl52_290
| spl52_527 ),
inference(forward_demodulation,[],[f14366,f2449]) ).
fof(f14366,plain,
( op2(e20,e20) != h1(op1(e13,e13))
| ~ spl52_77
| spl52_527 ),
inference(forward_demodulation,[],[f14359,f1225]) ).
fof(f14359,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl52_527 ),
inference(avatar_component_clause,[],[f14357]) ).
fof(f14364,plain,
( ~ spl52_512
| ~ spl52_513
| ~ spl52_514
| ~ spl52_515
| ~ spl52_516
| ~ spl52_517
| ~ spl52_518
| ~ spl52_519
| ~ spl52_520
| ~ spl52_521
| ~ spl52_522
| ~ spl52_523
| ~ spl52_524
| ~ spl52_525
| ~ spl52_526
| ~ spl52_527
| spl52_65
| spl52_63
| spl52_61
| ~ spl52_528 ),
inference(avatar_split_clause,[],[f683,f14361,f1150,f1159,f1168,f14357,f14353,f14349,f14345,f14341,f14337,f14333,f14329,f14325,f14321,f14317,f14313,f14309,f14305,f14301,f14297]) ).
fof(f14305,plain,
( spl52_514
<=> h1(op1(e10,e12)) = op2(h1(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_514])]) ).
fof(f14321,plain,
( spl52_518
<=> h1(op1(e11,e12)) = op2(h1(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_518])]) ).
fof(f14329,plain,
( spl52_520
<=> h1(op1(e12,e10)) = op2(e23,h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_520])]) ).
fof(f14341,plain,
( spl52_523
<=> h1(op1(e12,e13)) = op2(e23,h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_523])]) ).
fof(f14361,plain,
( spl52_528
<=> e23 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_528])]) ).
fof(f683,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,[],[f178]) ).
fof(f178,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(f14291,plain,
( ~ spl52_94
| ~ spl52_31
| ~ spl52_85
| ~ spl52_114
| ~ spl52_281
| ~ spl52_293
| spl52_506 ),
inference(avatar_split_clause,[],[f14258,f14216,f2466,f2330,f1402,f1264,f1015,f1309]) ).
fof(f14258,plain,
( e21 != op2(e21,e23)
| ~ spl52_31
| ~ spl52_85
| ~ spl52_114
| ~ spl52_281
| ~ spl52_293
| spl52_506 ),
inference(forward_demodulation,[],[f14257,f1017]) ).
fof(f14257,plain,
( op2(e21,e23) != h2(e12)
| ~ spl52_31
| ~ spl52_85
| ~ spl52_114
| ~ spl52_281
| ~ spl52_293
| spl52_506 ),
inference(forward_demodulation,[],[f14256,f1404]) ).
fof(f14256,plain,
( op2(e21,e23) != h2(op1(e12,e11))
| ~ spl52_31
| ~ spl52_85
| ~ spl52_281
| ~ spl52_293
| spl52_506 ),
inference(forward_demodulation,[],[f14255,f1017]) ).
fof(f14255,plain,
( h2(op1(e12,e11)) != op2(h2(e12),e23)
| ~ spl52_85
| ~ spl52_281
| ~ spl52_293
| spl52_506 ),
inference(forward_demodulation,[],[f14218,f6033]) ).
fof(f14288,plain,
( ~ spl52_401
| ~ spl52_31
| ~ spl52_68
| ~ spl52_293
| spl52_507 ),
inference(avatar_split_clause,[],[f14254,f14220,f2466,f1182,f1015,f8233]) ).
fof(f8233,plain,
( spl52_401
<=> e23 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_401])]) ).
fof(f14220,plain,
( spl52_507
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_507])]) ).
fof(f14254,plain,
( e23 != op2(e21,e21)
| ~ spl52_31
| ~ spl52_68
| ~ spl52_293
| spl52_507 ),
inference(forward_demodulation,[],[f14253,f2467]) ).
fof(f14253,plain,
( op2(e21,e21) != h2(e13)
| ~ spl52_31
| ~ spl52_68
| spl52_507 ),
inference(forward_demodulation,[],[f14252,f1184]) ).
fof(f14252,plain,
( op2(e21,e21) != h2(op1(e12,e12))
| ~ spl52_31
| spl52_507 ),
inference(forward_demodulation,[],[f14222,f1017]) ).
fof(f14222,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl52_507 ),
inference(avatar_component_clause,[],[f14220]) ).
fof(f14283,plain,
( ~ spl52_94
| ~ spl52_31
| ~ spl52_58
| ~ spl52_69
| ~ spl52_293
| spl52_508 ),
inference(avatar_split_clause,[],[f14251,f14224,f2466,f1187,f1136,f1015,f1309]) ).
fof(f14224,plain,
( spl52_508
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_508])]) ).
fof(f14251,plain,
( e21 != op2(e21,e23)
| ~ spl52_31
| ~ spl52_58
| ~ spl52_69
| ~ spl52_293
| spl52_508 ),
inference(forward_demodulation,[],[f14250,f1137]) ).
fof(f14250,plain,
( op2(e21,e23) != h2(e10)
| ~ spl52_31
| ~ spl52_69
| ~ spl52_293
| spl52_508 ),
inference(forward_demodulation,[],[f14249,f1189]) ).
fof(f14249,plain,
( op2(e21,e23) != h2(op1(e12,e13))
| ~ spl52_31
| ~ spl52_293
| spl52_508 ),
inference(forward_demodulation,[],[f14248,f1017]) ).
fof(f14248,plain,
( h2(op1(e12,e13)) != op2(h2(e12),e23)
| ~ spl52_293
| spl52_508 ),
inference(forward_demodulation,[],[f14226,f2467]) ).
fof(f14226,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl52_508 ),
inference(avatar_component_clause,[],[f14224]) ).
fof(f14239,plain,
( ~ spl52_499
| ~ spl52_500
| ~ spl52_501
| ~ spl52_502
| ~ spl52_503
| ~ spl52_487
| ~ spl52_504
| ~ spl52_489
| ~ spl52_505
| ~ spl52_506
| ~ spl52_507
| ~ spl52_508
| ~ spl52_509
| ~ spl52_495
| ~ spl52_510
| ~ spl52_497
| spl52_59
| spl52_57
| spl52_55
| ~ spl52_511 ),
inference(avatar_split_clause,[],[f681,f14236,f1123,f1132,f1141,f14121,f14232,f14113,f14228,f14224,f14220,f14216,f14212,f14089,f14208,f14081,f14204,f14200,f14196,f14192,f14188]) ).
fof(f14188,plain,
( spl52_499
<=> op2(e23,e23) = h2(op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_499])]) ).
fof(f14196,plain,
( spl52_501
<=> h2(op1(e10,e12)) = op2(e23,h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_501])]) ).
fof(f1141,plain,
( spl52_59
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_59])]) ).
fof(f1132,plain,
( spl52_57
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_57])]) ).
fof(f1123,plain,
( spl52_55
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_55])]) ).
fof(f14236,plain,
( spl52_511
<=> e23 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_511])]) ).
fof(f681,plain,
( 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),e23)
| 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),e23)
| 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),e23)
| h2(op1(e10,e13)) != op2(e23,h2(e13))
| h2(op1(e10,e12)) != op2(e23,h2(e12))
| h2(op1(e10,e11)) != op2(e23,h2(e11))
| op2(e23,e23) != h2(op1(e10,e10)) ),
inference(inner_rewriting,[],[f180]) ).
fof(f180,plain,
( 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)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f14183,plain,
( ~ spl52_94
| ~ spl52_31
| ~ spl52_58
| ~ spl52_294
| spl52_484 ),
inference(avatar_split_clause,[],[f14174,f14069,f2478,f1136,f1015,f1309]) ).
fof(f14174,plain,
( e21 != op2(e21,e23)
| ~ spl52_31
| ~ spl52_58
| ~ spl52_294
| spl52_484 ),
inference(forward_demodulation,[],[f14173,f1017]) ).
fof(f14173,plain,
( op2(e21,e23) != h2(e12)
| ~ spl52_58
| ~ spl52_294
| spl52_484 ),
inference(forward_demodulation,[],[f14172,f2480]) ).
fof(f14172,plain,
( op2(e21,e23) != h2(op1(e10,e12))
| ~ spl52_58
| spl52_484 ),
inference(forward_demodulation,[],[f14071,f1137]) ).
fof(f14071,plain,
( h2(op1(e10,e12)) != op2(h2(e10),e23)
| spl52_484 ),
inference(avatar_component_clause,[],[f14069]) ).
fof(f14128,plain,
( ~ spl52_482
| ~ spl52_483
| ~ spl52_484
| ~ spl52_485
| ~ spl52_486
| ~ spl52_487
| ~ spl52_488
| ~ spl52_489
| ~ spl52_490
| ~ spl52_491
| ~ spl52_492
| ~ spl52_493
| ~ spl52_494
| ~ spl52_495
| ~ spl52_496
| ~ spl52_497
| spl52_59
| spl52_57
| spl52_55
| ~ spl52_498 ),
inference(avatar_split_clause,[],[f679,f14125,f1123,f1132,f1141,f14121,f14117,f14113,f14109,f14105,f14101,f14097,f14093,f14089,f14085,f14081,f14077,f14073,f14069,f14065,f14061]) ).
fof(f14085,plain,
( spl52_488
<=> h2(op1(e11,e12)) = op2(h2(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_488])]) ).
fof(f14093,plain,
( spl52_490
<=> h2(op1(e12,e10)) = op2(e23,h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_490])]) ).
fof(f14101,plain,
( spl52_492
<=> op2(e23,e23) = h2(op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_492])]) ).
fof(f14125,plain,
( spl52_498
<=> e23 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_498])]) ).
fof(f679,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,[],[f182]) ).
fof(f182,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(f14058,plain,
( ~ spl52_94
| ~ spl52_46
| spl52_407 ),
inference(avatar_split_clause,[],[f10351,f8686,f1082,f1309]) ).
fof(f10351,plain,
( e21 != op2(e21,e23)
| ~ spl52_46
| spl52_407 ),
inference(superposition,[],[f8687,f1083]) ).
fof(f8687,plain,
( h4(e10) != op2(h4(e10),e23)
| spl52_407 ),
inference(avatar_component_clause,[],[f8686]) ).
fof(f14039,plain,
( ~ spl52_481
| ~ spl52_46
| ~ spl52_301
| ~ spl52_310
| spl52_358 ),
inference(avatar_split_clause,[],[f13995,f7452,f2609,f2522,f1082,f14036]) ).
fof(f14036,plain,
( spl52_481
<=> e20 = h4(op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_481])]) ).
fof(f13995,plain,
( e20 != h4(op1(e10,e13))
| ~ spl52_46
| ~ spl52_301
| ~ spl52_310
| spl52_358 ),
inference(forward_demodulation,[],[f12279,f2610]) ).
fof(f2610,plain,
( e20 = op2(e21,e22)
| ~ spl52_310 ),
inference(avatar_component_clause,[],[f2609]) ).
fof(f12279,plain,
( op2(e21,e22) != h4(op1(e10,e13))
| ~ spl52_46
| ~ spl52_301
| spl52_358 ),
inference(forward_demodulation,[],[f12278,f1083]) ).
fof(f12278,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e22)
| ~ spl52_301
| spl52_358 ),
inference(forward_demodulation,[],[f7454,f2524]) ).
fof(f7454,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| spl52_358 ),
inference(avatar_component_clause,[],[f7452]) ).
fof(f14024,plain,
( ~ spl52_297
| ~ spl52_54
| ~ spl52_88
| ~ spl52_350
| spl52_387 ),
inference(avatar_split_clause,[],[f12596,f7718,f6152,f1281,f1118,f2500]) ).
fof(f12596,plain,
( e23 != op2(e20,e23)
| ~ spl52_54
| ~ spl52_88
| ~ spl52_350
| spl52_387 ),
inference(forward_demodulation,[],[f11498,f1283]) ).
fof(f11498,plain,
( op2(e20,e23) != h3(e13)
| ~ spl52_54
| ~ spl52_350
| spl52_387 ),
inference(forward_demodulation,[],[f8251,f6154]) ).
fof(f8251,plain,
( op2(e20,e23) != h3(op1(e10,e13))
| ~ spl52_54
| spl52_387 ),
inference(forward_demodulation,[],[f7720,f1119]) ).
fof(f7720,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e23)
| spl52_387 ),
inference(avatar_component_clause,[],[f7718]) ).
fof(f13969,plain,
( spl52_26
| spl52_24
| spl52_28
| ~ spl52_106
| ~ spl52_112
| ~ spl52_342
| ~ spl52_354 ),
inference(avatar_split_clause,[],[f12979,f6638,f3978,f1393,f1366,f1000,f980,f990]) ).
fof(f1366,plain,
( spl52_106
<=> e13 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_106])]) ).
fof(f12979,plain,
( e12 = e13
| e10 = e12
| e11 = e12
| ~ spl52_106
| ~ spl52_112
| ~ spl52_342
| ~ spl52_354 ),
inference(duplicate_literal_removal,[],[f12978]) ).
fof(f12978,plain,
( e12 = e13
| e10 = e12
| e12 = e13
| e11 = e12
| ~ spl52_106
| ~ spl52_112
| ~ spl52_342
| ~ spl52_354 ),
inference(forward_demodulation,[],[f12977,f1395]) ).
fof(f12977,plain,
( e10 = e12
| e12 = e13
| e11 = e12
| e12 = op1(e13,e10)
| ~ spl52_106
| ~ spl52_342
| ~ spl52_354 ),
inference(forward_demodulation,[],[f12976,f3980]) ).
fof(f12976,plain,
( e12 = e13
| e11 = e12
| e12 = op1(e13,e11)
| e12 = op1(e13,e10)
| ~ spl52_106
| ~ spl52_354 ),
inference(forward_demodulation,[],[f10749,f1368]) ).
fof(f1368,plain,
( e13 = op1(e13,e13)
| ~ spl52_106 ),
inference(avatar_component_clause,[],[f1366]) ).
fof(f10749,plain,
( e11 = e12
| e12 = op1(e13,e13)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10)
| ~ spl52_354 ),
inference(forward_demodulation,[],[f414,f6640]) ).
fof(f13958,plain,
( ~ spl52_270
| ~ spl52_329
| spl52_473 ),
inference(avatar_split_clause,[],[f13956,f11740,f3131,f2244]) ).
fof(f11740,plain,
( spl52_473
<=> e21 = h3(op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_473])]) ).
fof(f13956,plain,
( e21 != h3(e11)
| ~ spl52_329
| spl52_473 ),
inference(superposition,[],[f11741,f3133]) ).
fof(f11741,plain,
( e21 != h3(op1(e10,e11))
| spl52_473 ),
inference(avatar_component_clause,[],[f11740]) ).
fof(f13918,plain,
( spl52_293
| ~ spl52_85
| ~ spl52_401 ),
inference(avatar_split_clause,[],[f13609,f8233,f1264,f2466]) ).
fof(f13609,plain,
( e23 = h2(e13)
| ~ spl52_85
| ~ spl52_401 ),
inference(superposition,[],[f1266,f8234]) ).
fof(f8234,plain,
( e23 = op2(e21,e21)
| ~ spl52_401 ),
inference(avatar_component_clause,[],[f8233]) ).
fof(f13908,plain,
( spl52_472
| ~ spl52_32
| ~ spl52_306
| ~ spl52_398 ),
inference(avatar_split_clause,[],[f12919,f7762,f2568,f1020,f11672]) ).
fof(f11672,plain,
( spl52_472
<=> e21 = h3(op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_472])]) ).
fof(f2568,plain,
( spl52_306
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_306])]) ).
fof(f12919,plain,
( e21 = h3(op1(e13,e12))
| ~ spl52_32
| ~ spl52_306
| ~ spl52_398 ),
inference(forward_demodulation,[],[f8883,f2570]) ).
fof(f2570,plain,
( e21 = op2(e23,e22)
| ~ spl52_306 ),
inference(avatar_component_clause,[],[f2568]) ).
fof(f8883,plain,
( op2(e23,e22) = h3(op1(e13,e12))
| ~ spl52_32
| ~ spl52_398 ),
inference(forward_demodulation,[],[f7763,f1022]) ).
fof(f13906,plain,
( spl52_471
| ~ spl52_29
| ~ spl52_382
| ~ spl52_413 ),
inference(avatar_split_clause,[],[f9497,f8955,f7640,f1005,f11657]) ).
fof(f11657,plain,
( spl52_471
<=> e20 = h4(op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_471])]) ).
fof(f7640,plain,
( spl52_382
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_382])]) ).
fof(f8955,plain,
( spl52_413
<=> e20 = op2(h4(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_413])]) ).
fof(f9497,plain,
( e20 = h4(op1(e13,e12))
| ~ spl52_29
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f9496,f8957]) ).
fof(f8957,plain,
( e20 = op2(h4(e13),e23)
| ~ spl52_413 ),
inference(avatar_component_clause,[],[f8955]) ).
fof(f9496,plain,
( h4(op1(e13,e12)) = op2(h4(e13),e23)
| ~ spl52_29
| ~ spl52_382 ),
inference(forward_demodulation,[],[f7641,f1007]) ).
fof(f7641,plain,
( h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
| ~ spl52_382 ),
inference(avatar_component_clause,[],[f7640]) ).
fof(f13877,plain,
( spl52_312
| ~ spl52_46
| ~ spl52_329
| ~ spl52_346
| ~ spl52_356 ),
inference(avatar_split_clause,[],[f13731,f7444,f5149,f3131,f1082,f2619]) ).
fof(f13731,plain,
( e20 = op2(e21,e20)
| ~ spl52_46
| ~ spl52_329
| ~ spl52_346
| ~ spl52_356 ),
inference(forward_demodulation,[],[f13730,f5151]) ).
fof(f13730,plain,
( op2(e21,e20) = h4(e11)
| ~ spl52_46
| ~ spl52_329
| ~ spl52_346
| ~ spl52_356 ),
inference(forward_demodulation,[],[f13292,f3133]) ).
fof(f13292,plain,
( op2(e21,e20) = h4(op1(e10,e11))
| ~ spl52_46
| ~ spl52_346
| ~ spl52_356 ),
inference(forward_demodulation,[],[f13291,f1083]) ).
fof(f13291,plain,
( h4(op1(e10,e11)) = op2(h4(e10),e20)
| ~ spl52_346
| ~ spl52_356 ),
inference(forward_demodulation,[],[f7445,f5151]) ).
fof(f7445,plain,
( h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
| ~ spl52_356 ),
inference(avatar_component_clause,[],[f7444]) ).
fof(f13876,plain,
( spl52_297
| ~ spl52_346
| ~ spl52_402 ),
inference(avatar_split_clause,[],[f13509,f8645,f5149,f2500]) ).
fof(f8645,plain,
( spl52_402
<=> e23 = op2(h4(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_402])]) ).
fof(f13509,plain,
( e23 = op2(e20,e23)
| ~ spl52_346
| ~ spl52_402 ),
inference(forward_demodulation,[],[f8647,f5151]) ).
fof(f8647,plain,
( e23 = op2(h4(e11),e23)
| ~ spl52_402 ),
inference(avatar_component_clause,[],[f8645]) ).
fof(f13858,plain,
( ~ spl52_322
| ~ spl52_32
| ~ spl52_54
| ~ spl52_270
| ~ spl52_334
| spl52_388 ),
inference(avatar_split_clause,[],[f13130,f7722,f3488,f2244,f1118,f1020,f3020]) ).
fof(f13130,plain,
( e22 != op2(e21,e20)
| ~ spl52_32
| ~ spl52_54
| ~ spl52_270
| ~ spl52_334
| spl52_388 ),
inference(forward_demodulation,[],[f13129,f1022]) ).
fof(f13129,plain,
( op2(e21,e20) != h3(e12)
| ~ spl52_54
| ~ spl52_270
| ~ spl52_334
| spl52_388 ),
inference(forward_demodulation,[],[f10929,f3490]) ).
fof(f10929,plain,
( op2(e21,e20) != h3(op1(e11,e10))
| ~ spl52_54
| ~ spl52_270
| spl52_388 ),
inference(forward_demodulation,[],[f8243,f2246]) ).
fof(f8243,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| ~ spl52_54
| spl52_388 ),
inference(forward_demodulation,[],[f7724,f1119]) ).
fof(f7724,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl52_388 ),
inference(avatar_component_clause,[],[f7722]) ).
fof(f13856,plain,
( ~ spl52_299
| ~ spl52_32
| ~ spl52_54
| ~ spl52_288
| spl52_387 ),
inference(avatar_split_clause,[],[f13124,f7718,f2439,f1118,f1020,f2514]) ).
fof(f2514,plain,
( spl52_299
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_299])]) ).
fof(f13124,plain,
( e22 != op2(e20,e23)
| ~ spl52_32
| ~ spl52_54
| ~ spl52_288
| spl52_387 ),
inference(forward_demodulation,[],[f13123,f1022]) ).
fof(f13123,plain,
( op2(e20,e23) != h3(e12)
| ~ spl52_54
| ~ spl52_288
| spl52_387 ),
inference(forward_demodulation,[],[f12565,f2441]) ).
fof(f12565,plain,
( op2(e20,e23) != h3(op1(e10,e13))
| ~ spl52_54
| spl52_387 ),
inference(forward_demodulation,[],[f7720,f1119]) ).
fof(f13854,plain,
( ~ spl52_346
| ~ spl52_329
| spl52_446 ),
inference(avatar_split_clause,[],[f11125,f10667,f3131,f5149]) ).
fof(f10667,plain,
( spl52_446
<=> e20 = h4(op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_446])]) ).
fof(f11125,plain,
( e20 != h4(e11)
| ~ spl52_329
| spl52_446 ),
inference(superposition,[],[f10669,f3133]) ).
fof(f10669,plain,
( e20 != h4(op1(e10,e11))
| spl52_446 ),
inference(avatar_component_clause,[],[f10667]) ).
fof(f13852,plain,
( ~ spl52_298
| ~ spl52_29
| ~ spl52_46
| ~ spl52_294
| spl52_357 ),
inference(avatar_split_clause,[],[f13114,f7448,f2478,f1082,f1005,f2504]) ).
fof(f7448,plain,
( spl52_357
<=> h4(op1(e10,e12)) = op2(h4(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_357])]) ).
fof(f13114,plain,
( e23 != op2(e21,e23)
| ~ spl52_29
| ~ spl52_46
| ~ spl52_294
| spl52_357 ),
inference(forward_demodulation,[],[f13113,f1007]) ).
fof(f13113,plain,
( op2(e21,e23) != h4(e12)
| ~ spl52_46
| ~ spl52_294
| spl52_357 ),
inference(forward_demodulation,[],[f10545,f2480]) ).
fof(f10545,plain,
( op2(e21,e23) != h4(op1(e10,e12))
| ~ spl52_46
| spl52_357 ),
inference(forward_demodulation,[],[f7450,f1083]) ).
fof(f7450,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| spl52_357 ),
inference(avatar_component_clause,[],[f7448]) ).
fof(f13835,plain,
( ~ spl52_310
| ~ spl52_32
| ~ spl52_54
| ~ spl52_270
| ~ spl52_338
| spl52_390 ),
inference(avatar_split_clause,[],[f13095,f7730,f3607,f2244,f1118,f1020,f2609]) ).
fof(f7730,plain,
( spl52_390
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_390])]) ).
fof(f13095,plain,
( e20 != op2(e21,e22)
| ~ spl52_32
| ~ spl52_54
| ~ spl52_270
| ~ spl52_338
| spl52_390 ),
inference(forward_demodulation,[],[f13094,f1119]) ).
fof(f13094,plain,
( op2(e21,e22) != h3(e10)
| ~ spl52_32
| ~ spl52_270
| ~ spl52_338
| spl52_390 ),
inference(forward_demodulation,[],[f11011,f3609]) ).
fof(f11011,plain,
( op2(e21,e22) != h3(op1(e11,e12))
| ~ spl52_32
| ~ spl52_270
| spl52_390 ),
inference(forward_demodulation,[],[f8222,f2246]) ).
fof(f8222,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e22)
| ~ spl52_32
| spl52_390 ),
inference(forward_demodulation,[],[f7732,f1022]) ).
fof(f7732,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl52_390 ),
inference(avatar_component_clause,[],[f7730]) ).
fof(f13833,plain,
( ~ spl52_285
| ~ spl52_301
| spl52_420 ),
inference(avatar_split_clause,[],[f10418,f9086,f2522,f2420]) ).
fof(f9086,plain,
( spl52_420
<=> h4(e13) = op2(e20,h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_420])]) ).
fof(f10418,plain,
( e22 != op2(e20,e22)
| ~ spl52_301
| spl52_420 ),
inference(forward_demodulation,[],[f9087,f2524]) ).
fof(f9087,plain,
( h4(e13) != op2(e20,h4(e13))
| spl52_420 ),
inference(avatar_component_clause,[],[f9086]) ).
fof(f13816,plain,
( ~ spl52_285
| ~ spl52_32
| ~ spl52_54
| ~ spl52_294
| spl52_386 ),
inference(avatar_split_clause,[],[f13050,f7714,f2478,f1118,f1020,f2420]) ).
fof(f13050,plain,
( e22 != op2(e20,e22)
| ~ spl52_32
| ~ spl52_54
| ~ spl52_294
| spl52_386 ),
inference(forward_demodulation,[],[f13049,f1022]) ).
fof(f13049,plain,
( op2(e20,e22) != h3(e12)
| ~ spl52_32
| ~ spl52_54
| ~ spl52_294
| spl52_386 ),
inference(forward_demodulation,[],[f7939,f2480]) ).
fof(f7939,plain,
( op2(e20,e22) != h3(op1(e10,e12))
| ~ spl52_32
| ~ spl52_54
| spl52_386 ),
inference(forward_demodulation,[],[f7812,f1119]) ).
fof(f7812,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e22)
| ~ spl52_32
| spl52_386 ),
inference(forward_demodulation,[],[f7716,f1022]) ).
fof(f13814,plain,
( ~ spl52_345
| ~ spl52_29
| ~ spl52_84
| ~ spl52_301
| ~ spl52_352
| ~ spl52_354
| spl52_360
| ~ spl52_382
| ~ spl52_413 ),
inference(avatar_split_clause,[],[f13648,f8955,f7640,f7460,f6638,f6191,f2522,f1259,f1005,f5052]) ).
fof(f13648,plain,
( e22 != h1(e13)
| ~ spl52_29
| ~ spl52_84
| ~ spl52_301
| ~ spl52_352
| ~ spl52_354
| spl52_360
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f13647,f2524]) ).
fof(f13647,plain,
( h1(e13) != h4(e13)
| ~ spl52_29
| ~ spl52_84
| ~ spl52_352
| ~ spl52_354
| spl52_360
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f10716,f6193]) ).
fof(f10716,plain,
( h1(e13) != h4(op1(e11,e11))
| ~ spl52_29
| ~ spl52_84
| ~ spl52_354
| spl52_360
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f10239,f1261]) ).
fof(f10239,plain,
( op2(e20,e20) != h4(op1(e11,e11))
| ~ spl52_29
| ~ spl52_354
| spl52_360
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f7462,f9490]) ).
fof(f9490,plain,
( e20 = h4(e11)
| ~ spl52_29
| ~ spl52_354
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f9489,f6640]) ).
fof(f9489,plain,
( e20 = h4(op1(e13,e12))
| ~ spl52_29
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f9042,f8957]) ).
fof(f9042,plain,
( h4(op1(e13,e12)) = op2(h4(e13),e23)
| ~ spl52_29
| ~ spl52_382 ),
inference(forward_demodulation,[],[f7641,f1007]) ).
fof(f7462,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl52_360 ),
inference(avatar_component_clause,[],[f7460]) ).
fof(f13813,plain,
( spl52_77
| ~ spl52_54
| ~ spl52_84
| ~ spl52_103
| ~ spl52_384 ),
inference(avatar_split_clause,[],[f13622,f7706,f1350,f1259,f1118,f1224]) ).
fof(f7706,plain,
( spl52_384
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_384])]) ).
fof(f13622,plain,
( e20 = h1(e13)
| ~ spl52_54
| ~ spl52_84
| ~ spl52_103
| ~ spl52_384 ),
inference(forward_demodulation,[],[f13621,f1119]) ).
fof(f13621,plain,
( h1(e13) = h3(e10)
| ~ spl52_54
| ~ spl52_84
| ~ spl52_103
| ~ spl52_384 ),
inference(forward_demodulation,[],[f10587,f1352]) ).
fof(f10587,plain,
( h1(e13) = h3(op1(e10,e10))
| ~ spl52_54
| ~ spl52_84
| ~ spl52_384 ),
inference(forward_demodulation,[],[f7891,f1261]) ).
fof(f7891,plain,
( op2(e20,e20) = h3(op1(e10,e10))
| ~ spl52_54
| ~ spl52_384 ),
inference(forward_demodulation,[],[f7707,f1119]) ).
fof(f7707,plain,
( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
| ~ spl52_384 ),
inference(avatar_component_clause,[],[f7706]) ).
fof(f13812,plain,
( ~ spl52_70
| ~ spl52_46
| ~ spl52_85
| ~ spl52_103
| spl52_355 ),
inference(avatar_split_clause,[],[f13580,f7440,f1350,f1264,f1082,f1192]) ).
fof(f13580,plain,
( e21 != h2(e13)
| ~ spl52_46
| ~ spl52_85
| ~ spl52_103
| spl52_355 ),
inference(forward_demodulation,[],[f13579,f1083]) ).
fof(f13579,plain,
( h2(e13) != h4(e10)
| ~ spl52_46
| ~ spl52_85
| ~ spl52_103
| spl52_355 ),
inference(forward_demodulation,[],[f10552,f1352]) ).
fof(f10552,plain,
( h2(e13) != h4(op1(e10,e10))
| ~ spl52_46
| ~ spl52_85
| spl52_355 ),
inference(forward_demodulation,[],[f10219,f1266]) ).
fof(f10219,plain,
( op2(e21,e21) != h4(op1(e10,e10))
| ~ spl52_46
| spl52_355 ),
inference(forward_demodulation,[],[f7442,f1083]) ).
fof(f7442,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl52_355 ),
inference(avatar_component_clause,[],[f7440]) ).
fof(f13801,plain,
( ~ spl52_293
| ~ spl52_85
| ~ spl52_88
| ~ spl52_270
| ~ spl52_352
| spl52_389 ),
inference(avatar_split_clause,[],[f13041,f7726,f6191,f2244,f1281,f1264,f2466]) ).
fof(f13041,plain,
( e23 != h2(e13)
| ~ spl52_85
| ~ spl52_88
| ~ spl52_270
| ~ spl52_352
| spl52_389 ),
inference(forward_demodulation,[],[f13040,f1283]) ).
fof(f13040,plain,
( h2(e13) != h3(e13)
| ~ spl52_85
| ~ spl52_270
| ~ spl52_352
| spl52_389 ),
inference(forward_demodulation,[],[f11896,f6193]) ).
fof(f11896,plain,
( h2(e13) != h3(op1(e11,e11))
| ~ spl52_85
| ~ spl52_270
| spl52_389 ),
inference(forward_demodulation,[],[f11389,f1266]) ).
fof(f11389,plain,
( op2(e21,e21) != h3(op1(e11,e11))
| ~ spl52_270
| spl52_389 ),
inference(forward_demodulation,[],[f7728,f2246]) ).
fof(f7728,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl52_389 ),
inference(avatar_component_clause,[],[f7726]) ).
fof(f13798,plain,
( ~ spl52_77
| ~ spl52_54
| ~ spl52_103
| spl52_434 ),
inference(avatar_split_clause,[],[f11114,f10302,f1350,f1118,f1224]) ).
fof(f13700,plain,
( spl52_309
| ~ spl52_32
| ~ spl52_54
| ~ spl52_329
| ~ spl52_338
| ~ spl52_349
| ~ spl52_398 ),
inference(avatar_split_clause,[],[f13014,f7762,f5923,f3607,f3131,f1118,f1020,f2601]) ).
fof(f5923,plain,
( spl52_349
<=> e13 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_349])]) ).
fof(f13014,plain,
( e20 = op2(e23,e22)
| ~ spl52_32
| ~ spl52_54
| ~ spl52_329
| ~ spl52_338
| ~ spl52_349
| ~ spl52_398 ),
inference(forward_demodulation,[],[f13013,f1119]) ).
fof(f13013,plain,
( op2(e23,e22) = h3(e10)
| ~ spl52_32
| ~ spl52_329
| ~ spl52_338
| ~ spl52_349
| ~ spl52_398 ),
inference(forward_demodulation,[],[f11463,f3609]) ).
fof(f11463,plain,
( op2(e23,e22) = h3(op1(e11,e12))
| ~ spl52_32
| ~ spl52_329
| ~ spl52_349
| ~ spl52_398 ),
inference(forward_demodulation,[],[f7827,f11146]) ).
fof(f11146,plain,
( e11 = e13
| ~ spl52_329
| ~ spl52_349 ),
inference(superposition,[],[f3133,f5925]) ).
fof(f5925,plain,
( e13 = op1(e10,e11)
| ~ spl52_349 ),
inference(avatar_component_clause,[],[f5923]) ).
fof(f13698,plain,
( ~ spl52_29
| ~ spl52_294
| spl52_442 ),
inference(avatar_split_clause,[],[f11107,f10642,f2478,f1005]) ).
fof(f10642,plain,
( spl52_442
<=> e23 = h4(op1(e10,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_442])]) ).
fof(f11107,plain,
( e23 != h4(e12)
| ~ spl52_294
| spl52_442 ),
inference(superposition,[],[f10644,f2480]) ).
fof(f10644,plain,
( e23 != h4(op1(e10,e12))
| spl52_442 ),
inference(avatar_component_clause,[],[f10642]) ).
fof(f13664,plain,
( spl52_324
| ~ spl52_29
| ~ spl52_46
| ~ spl52_334
| ~ spl52_354
| ~ spl52_359
| ~ spl52_382
| ~ spl52_413 ),
inference(avatar_split_clause,[],[f12950,f8955,f7640,f7456,f6638,f3488,f1082,f1005,f3087]) ).
fof(f12950,plain,
( e23 = op2(e20,e21)
| ~ spl52_29
| ~ spl52_46
| ~ spl52_334
| ~ spl52_354
| ~ spl52_359
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f12949,f1007]) ).
fof(f12949,plain,
( op2(e20,e21) = h4(e12)
| ~ spl52_29
| ~ spl52_46
| ~ spl52_334
| ~ spl52_354
| ~ spl52_359
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f9834,f3490]) ).
fof(f9834,plain,
( op2(e20,e21) = h4(op1(e11,e10))
| ~ spl52_29
| ~ spl52_46
| ~ spl52_354
| ~ spl52_359
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f8193,f9490]) ).
fof(f8193,plain,
( h4(op1(e11,e10)) = op2(h4(e11),e21)
| ~ spl52_46
| ~ spl52_359 ),
inference(forward_demodulation,[],[f7457,f1083]) ).
fof(f13635,plain,
( spl52_313
| ~ spl52_301
| ~ spl52_346
| ~ spl52_352
| ~ spl52_360 ),
inference(avatar_split_clause,[],[f12872,f7460,f6191,f5149,f2522,f2734]) ).
fof(f12872,plain,
( op2(e20,e20) = e22
| ~ spl52_301
| ~ spl52_346
| ~ spl52_352
| ~ spl52_360 ),
inference(forward_demodulation,[],[f12871,f2524]) ).
fof(f13629,plain,
( ~ spl52_94
| ~ spl52_270
| spl52_391
| ~ spl52_470 ),
inference(avatar_split_clause,[],[f12562,f11635,f7734,f2244,f1309]) ).
fof(f7734,plain,
( spl52_391
<=> h3(op1(e11,e13)) = op2(h3(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_391])]) ).
fof(f11635,plain,
( spl52_470
<=> e21 = h3(op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_470])]) ).
fof(f12562,plain,
( e21 != op2(e21,e23)
| ~ spl52_270
| spl52_391
| ~ spl52_470 ),
inference(forward_demodulation,[],[f12561,f11636]) ).
fof(f11636,plain,
( e21 = h3(op1(e11,e13))
| ~ spl52_470 ),
inference(avatar_component_clause,[],[f11635]) ).
fof(f12561,plain,
( op2(e21,e23) != h3(op1(e11,e13))
| ~ spl52_270
| spl52_391 ),
inference(forward_demodulation,[],[f7736,f2246]) ).
fof(f7736,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e23)
| spl52_391 ),
inference(avatar_component_clause,[],[f7734]) ).
fof(f13618,plain,
( ~ spl52_323
| ~ spl52_54
| ~ spl52_103
| spl52_384 ),
inference(avatar_split_clause,[],[f11118,f7706,f1350,f1118,f3041]) ).
fof(f11118,plain,
( e20 != op2(e20,e20)
| ~ spl52_54
| ~ spl52_103
| spl52_384 ),
inference(forward_demodulation,[],[f11117,f1119]) ).
fof(f11117,plain,
( op2(e20,e20) != h3(e10)
| ~ spl52_54
| ~ spl52_103
| spl52_384 ),
inference(forward_demodulation,[],[f8164,f1352]) ).
fof(f8164,plain,
( op2(e20,e20) != h3(op1(e10,e10))
| ~ spl52_54
| spl52_384 ),
inference(forward_demodulation,[],[f7708,f1119]) ).
fof(f7708,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl52_384 ),
inference(avatar_component_clause,[],[f7706]) ).
fof(f13616,plain,
( spl52_298
| ~ spl52_46
| ~ spl52_429 ),
inference(avatar_split_clause,[],[f10457,f9166,f1082,f2504]) ).
fof(f13614,plain,
( ~ spl52_323
| ~ spl52_29
| ~ spl52_354
| ~ spl52_382
| spl52_409
| ~ spl52_413 ),
inference(avatar_split_clause,[],[f10242,f8955,f8720,f7640,f6638,f1005,f3041]) ).
fof(f10242,plain,
( e20 != op2(e20,e20)
| ~ spl52_29
| ~ spl52_354
| ~ spl52_382
| spl52_409
| ~ spl52_413 ),
inference(forward_demodulation,[],[f8721,f9490]) ).
fof(f8721,plain,
( h4(e11) != op2(h4(e11),h4(e11))
| spl52_409 ),
inference(avatar_component_clause,[],[f8720]) ).
fof(f13612,plain,
( ~ spl52_401
| ~ spl52_46
| spl52_408 ),
inference(avatar_split_clause,[],[f10014,f8714,f1082,f8233]) ).
fof(f10014,plain,
( e23 != op2(e21,e21)
| ~ spl52_46
| spl52_408 ),
inference(forward_demodulation,[],[f8715,f1083]) ).
fof(f8715,plain,
( e23 != op2(h4(e10),h4(e10))
| spl52_408 ),
inference(avatar_component_clause,[],[f8714]) ).
fof(f13589,plain,
( spl52_5
| ~ spl52_46
| ~ spl52_338
| ~ spl52_346
| ~ spl52_361
| ~ spl52_402 ),
inference(avatar_split_clause,[],[f13510,f8645,f7464,f5149,f3607,f1082,f885]) ).
fof(f13510,plain,
( e21 = e23
| ~ spl52_46
| ~ spl52_338
| ~ spl52_346
| ~ spl52_361
| ~ spl52_402 ),
inference(forward_demodulation,[],[f13509,f12039]) ).
fof(f12039,plain,
( e21 = op2(e20,e23)
| ~ spl52_46
| ~ spl52_338
| ~ spl52_346
| ~ spl52_361 ),
inference(forward_demodulation,[],[f12038,f1083]) ).
fof(f12038,plain,
( op2(e20,e23) = h4(e10)
| ~ spl52_338
| ~ spl52_346
| ~ spl52_361 ),
inference(forward_demodulation,[],[f12037,f3609]) ).
fof(f12037,plain,
( op2(e20,e23) = h4(op1(e11,e12))
| ~ spl52_346
| ~ spl52_361 ),
inference(forward_demodulation,[],[f7465,f5151]) ).
fof(f13508,plain,
( spl52_5
| ~ spl52_29
| ~ spl52_46
| ~ spl52_58
| ~ spl52_85
| ~ spl52_103
| ~ spl52_166
| ~ spl52_260
| ~ spl52_301
| ~ spl52_321
| ~ spl52_329
| ~ spl52_342
| ~ spl52_349
| ~ spl52_354
| ~ spl52_355
| ~ spl52_368
| ~ spl52_382
| ~ spl52_401 ),
inference(avatar_split_clause,[],[f13173,f8233,f7640,f7492,f7440,f6638,f5923,f3978,f3131,f2914,f2522,f2180,f1668,f1350,f1264,f1136,f1082,f1005,f885]) ).
fof(f1668,plain,
( spl52_166
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_166])]) ).
fof(f7492,plain,
( spl52_368
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_368])]) ).
fof(f13173,plain,
( e21 = e23
| ~ spl52_29
| ~ spl52_46
| ~ spl52_58
| ~ spl52_85
| ~ spl52_103
| ~ spl52_166
| ~ spl52_260
| ~ spl52_301
| ~ spl52_321
| ~ spl52_329
| ~ spl52_342
| ~ spl52_349
| ~ spl52_354
| ~ spl52_355
| ~ spl52_368
| ~ spl52_382
| ~ spl52_401 ),
inference(forward_demodulation,[],[f13172,f13062]) ).
fof(f13062,plain,
( e21 = h2(e11)
| ~ spl52_29
| ~ spl52_46
| ~ spl52_58
| ~ spl52_103
| ~ spl52_166
| ~ spl52_260
| ~ spl52_301
| ~ spl52_321
| ~ spl52_342
| ~ spl52_354
| ~ spl52_355
| ~ spl52_368
| ~ spl52_382 ),
inference(forward_demodulation,[],[f10373,f12975]) ).
fof(f12975,plain,
( e21 = op2(e21,e21)
| ~ spl52_29
| ~ spl52_46
| ~ spl52_103
| ~ spl52_166
| ~ spl52_260
| ~ spl52_301
| ~ spl52_342
| ~ spl52_354
| ~ spl52_355
| ~ spl52_368
| ~ spl52_382 ),
inference(forward_demodulation,[],[f12974,f1083]) ).
fof(f12974,plain,
( op2(e21,e21) = h4(e10)
| ~ spl52_29
| ~ spl52_103
| ~ spl52_166
| ~ spl52_260
| ~ spl52_301
| ~ spl52_342
| ~ spl52_354
| ~ spl52_355
| ~ spl52_368
| ~ spl52_382 ),
inference(forward_demodulation,[],[f8449,f1352]) ).
fof(f8449,plain,
( op2(e21,e21) = h4(op1(e10,e10))
| ~ spl52_29
| ~ spl52_166
| ~ spl52_260
| ~ spl52_301
| ~ spl52_342
| ~ spl52_354
| ~ spl52_355
| ~ spl52_368
| ~ spl52_382 ),
inference(forward_demodulation,[],[f7441,f8436]) ).
fof(f8436,plain,
( e21 = h4(e10)
| ~ spl52_29
| ~ spl52_166
| ~ spl52_260
| ~ spl52_301
| ~ spl52_342
| ~ spl52_354
| ~ spl52_368
| ~ spl52_382 ),
inference(forward_demodulation,[],[f8435,f2182]) ).
fof(f8435,plain,
( op2(e22,e20) = h4(e10)
| ~ spl52_29
| ~ spl52_166
| ~ spl52_301
| ~ spl52_342
| ~ spl52_354
| ~ spl52_368
| ~ spl52_382 ),
inference(forward_demodulation,[],[f8434,f3980]) ).
fof(f8434,plain,
( op2(e22,e20) = h4(op1(e13,e11))
| ~ spl52_29
| ~ spl52_166
| ~ spl52_301
| ~ spl52_354
| ~ spl52_368
| ~ spl52_382 ),
inference(forward_demodulation,[],[f8433,f2524]) ).
fof(f8433,plain,
( h4(op1(e13,e11)) = op2(h4(e13),e20)
| ~ spl52_29
| ~ spl52_166
| ~ spl52_301
| ~ spl52_354
| ~ spl52_368
| ~ spl52_382 ),
inference(forward_demodulation,[],[f7493,f8426]) ).
fof(f8426,plain,
( e20 = h4(e11)
| ~ spl52_29
| ~ spl52_166
| ~ spl52_301
| ~ spl52_354
| ~ spl52_382 ),
inference(forward_demodulation,[],[f7691,f1670]) ).
fof(f1670,plain,
( e20 = op2(e22,e23)
| ~ spl52_166 ),
inference(avatar_component_clause,[],[f1668]) ).
fof(f7691,plain,
( op2(e22,e23) = h4(e11)
| ~ spl52_29
| ~ spl52_301
| ~ spl52_354
| ~ spl52_382 ),
inference(forward_demodulation,[],[f7690,f6640]) ).
fof(f7690,plain,
( op2(e22,e23) = h4(op1(e13,e12))
| ~ spl52_29
| ~ spl52_301
| ~ spl52_382 ),
inference(forward_demodulation,[],[f7689,f2524]) ).
fof(f7689,plain,
( h4(op1(e13,e12)) = op2(h4(e13),e23)
| ~ spl52_29
| ~ spl52_382 ),
inference(forward_demodulation,[],[f7641,f1007]) ).
fof(f7493,plain,
( h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
| ~ spl52_368 ),
inference(avatar_component_clause,[],[f7492]) ).
fof(f10373,plain,
( op2(e21,e21) = h2(e11)
| ~ spl52_58
| ~ spl52_321 ),
inference(superposition,[],[f2916,f1137]) ).
fof(f13172,plain,
( e23 = h2(e11)
| ~ spl52_85
| ~ spl52_329
| ~ spl52_349
| ~ spl52_401 ),
inference(forward_demodulation,[],[f8643,f11146]) ).
fof(f8643,plain,
( e23 = h2(e13)
| ~ spl52_85
| ~ spl52_401 ),
inference(superposition,[],[f1266,f8234]) ).
fof(f13504,plain,
( ~ spl52_285
| ~ spl52_29
| ~ spl52_354
| ~ spl52_382
| spl52_403
| ~ spl52_413 ),
inference(avatar_split_clause,[],[f10178,f8955,f8651,f7640,f6638,f1005,f2420]) ).
fof(f10178,plain,
( e22 != op2(e20,e22)
| ~ spl52_29
| ~ spl52_354
| ~ spl52_382
| spl52_403
| ~ spl52_413 ),
inference(forward_demodulation,[],[f8652,f9490]) ).
fof(f8652,plain,
( e22 != op2(h4(e11),e22)
| spl52_403 ),
inference(avatar_component_clause,[],[f8651]) ).
fof(f13500,plain,
( ~ spl52_297
| ~ spl52_29
| ~ spl52_354
| ~ spl52_382
| spl52_402
| ~ spl52_413 ),
inference(avatar_split_clause,[],[f10036,f8955,f8645,f7640,f6638,f1005,f2500]) ).
fof(f10036,plain,
( e23 != op2(e20,e23)
| ~ spl52_29
| ~ spl52_354
| ~ spl52_382
| spl52_402
| ~ spl52_413 ),
inference(forward_demodulation,[],[f8646,f9490]) ).
fof(f8646,plain,
( e23 != op2(h4(e11),e23)
| spl52_402 ),
inference(avatar_component_clause,[],[f8645]) ).
fof(f13499,plain,
( ~ spl52_480
| ~ spl52_54
| ~ spl52_84
| ~ spl52_103
| ~ spl52_329
| ~ spl52_349
| spl52_384 ),
inference(avatar_split_clause,[],[f13046,f7706,f5923,f3131,f1350,f1259,f1118,f13496]) ).
fof(f13046,plain,
( e20 != h1(e11)
| ~ spl52_54
| ~ spl52_84
| ~ spl52_103
| ~ spl52_329
| ~ spl52_349
| spl52_384 ),
inference(forward_demodulation,[],[f11116,f11146]) ).
fof(f11116,plain,
( e20 != h1(e13)
| ~ spl52_54
| ~ spl52_84
| ~ spl52_103
| spl52_384 ),
inference(forward_demodulation,[],[f11115,f1119]) ).
fof(f11115,plain,
( h1(e13) != h3(e10)
| ~ spl52_54
| ~ spl52_84
| ~ spl52_103
| spl52_384 ),
inference(forward_demodulation,[],[f9404,f1352]) ).
fof(f9404,plain,
( h1(e13) != h3(op1(e10,e10))
| ~ spl52_54
| ~ spl52_84
| spl52_384 ),
inference(forward_demodulation,[],[f8164,f1261]) ).
fof(f13493,plain,
( ~ spl52_479
| ~ spl52_85
| ~ spl52_88
| ~ spl52_270
| ~ spl52_329
| ~ spl52_349
| ~ spl52_352
| spl52_389 ),
inference(avatar_split_clause,[],[f13036,f7726,f6191,f5923,f3131,f2244,f1281,f1264,f13490]) ).
fof(f13490,plain,
( spl52_479
<=> e23 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_479])]) ).
fof(f13036,plain,
( e23 != h2(e11)
| ~ spl52_85
| ~ spl52_88
| ~ spl52_270
| ~ spl52_329
| ~ spl52_349
| ~ spl52_352
| spl52_389 ),
inference(forward_demodulation,[],[f13035,f11146]) ).
fof(f13035,plain,
( e23 != h2(e13)
| ~ spl52_85
| ~ spl52_88
| ~ spl52_270
| ~ spl52_352
| spl52_389 ),
inference(forward_demodulation,[],[f13034,f1283]) ).
fof(f13034,plain,
( h2(e13) != h3(e13)
| ~ spl52_85
| ~ spl52_270
| ~ spl52_352
| spl52_389 ),
inference(forward_demodulation,[],[f11900,f6193]) ).
fof(f11900,plain,
( h2(e13) != h3(op1(e11,e11))
| ~ spl52_85
| ~ spl52_270
| spl52_389 ),
inference(forward_demodulation,[],[f8229,f1266]) ).
fof(f8229,plain,
( op2(e21,e21) != h3(op1(e11,e11))
| ~ spl52_270
| spl52_389 ),
inference(forward_demodulation,[],[f7728,f2246]) ).
fof(f13445,plain,
( spl52_2
| ~ spl52_118
| ~ spl52_285
| ~ spl52_301
| ~ spl52_346
| ~ spl52_362 ),
inference(avatar_split_clause,[],[f13349,f7468,f5149,f2522,f2420,f1420,f870]) ).
fof(f13349,plain,
( e20 = e22
| ~ spl52_118
| ~ spl52_285
| ~ spl52_301
| ~ spl52_346
| ~ spl52_362 ),
inference(forward_demodulation,[],[f2422,f11619]) ).
fof(f11619,plain,
( e20 = op2(e20,e22)
| ~ spl52_118
| ~ spl52_301
| ~ spl52_346
| ~ spl52_362 ),
inference(forward_demodulation,[],[f11618,f5151]) ).
fof(f11618,plain,
( op2(e20,e22) = h4(e11)
| ~ spl52_118
| ~ spl52_301
| ~ spl52_346
| ~ spl52_362 ),
inference(forward_demodulation,[],[f11617,f1422]) ).
fof(f11617,plain,
( op2(e20,e22) = h4(op1(e11,e13))
| ~ spl52_301
| ~ spl52_346
| ~ spl52_362 ),
inference(forward_demodulation,[],[f8853,f2524]) ).
fof(f8853,plain,
( h4(op1(e11,e13)) = op2(e20,h4(e13))
| ~ spl52_346
| ~ spl52_362 ),
inference(forward_demodulation,[],[f7469,f5151]) ).
fof(f2422,plain,
( e22 = op2(e20,e22)
| ~ spl52_285 ),
inference(avatar_component_clause,[],[f2420]) ).
fof(f13390,plain,
( spl52_2
| ~ spl52_46
| ~ spl52_301
| ~ spl52_346
| ~ spl52_349
| ~ spl52_356
| ~ spl52_414 ),
inference(avatar_split_clause,[],[f13259,f9014,f7444,f5923,f5149,f2522,f1082,f870]) ).
fof(f13259,plain,
( e20 = e22
| ~ spl52_46
| ~ spl52_301
| ~ spl52_346
| ~ spl52_349
| ~ spl52_356
| ~ spl52_414 ),
inference(forward_demodulation,[],[f13258,f10382]) ).
fof(f13258,plain,
( e22 = op2(e21,e20)
| ~ spl52_46
| ~ spl52_301
| ~ spl52_346
| ~ spl52_349
| ~ spl52_356 ),
inference(forward_demodulation,[],[f13257,f1083]) ).
fof(f13257,plain,
( e22 = op2(h4(e10),e20)
| ~ spl52_301
| ~ spl52_346
| ~ spl52_349
| ~ spl52_356 ),
inference(forward_demodulation,[],[f8502,f5151]) ).
fof(f8502,plain,
( e22 = op2(h4(e10),h4(e11))
| ~ spl52_301
| ~ spl52_349
| ~ spl52_356 ),
inference(forward_demodulation,[],[f8501,f2524]) ).
fof(f8501,plain,
( h4(e13) = op2(h4(e10),h4(e11))
| ~ spl52_349
| ~ spl52_356 ),
inference(forward_demodulation,[],[f7445,f5925]) ).
fof(f13030,plain,
( spl52_310
| ~ spl52_32
| ~ spl52_54
| ~ spl52_270
| ~ spl52_329
| ~ spl52_338
| ~ spl52_349
| ~ spl52_398
| ~ spl52_449 ),
inference(avatar_split_clause,[],[f13005,f10683,f7762,f5923,f3607,f3131,f2244,f1118,f1020,f2609]) ).
fof(f10683,plain,
( spl52_449
<=> e23 = h3(op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_449])]) ).
fof(f13005,plain,
( e20 = op2(e21,e22)
| ~ spl52_32
| ~ spl52_54
| ~ spl52_270
| ~ spl52_329
| ~ spl52_338
| ~ spl52_349
| ~ spl52_398
| ~ spl52_449 ),
inference(forward_demodulation,[],[f11469,f12994]) ).
fof(f12994,plain,
( e21 = e23
| ~ spl52_270
| ~ spl52_329
| ~ spl52_449 ),
inference(forward_demodulation,[],[f12249,f2246]) ).
fof(f12249,plain,
( e23 = h3(e11)
| ~ spl52_329
| ~ spl52_449 ),
inference(superposition,[],[f10684,f3133]) ).
fof(f10684,plain,
( e23 = h3(op1(e10,e11))
| ~ spl52_449 ),
inference(avatar_component_clause,[],[f10683]) ).
fof(f11469,plain,
( e20 = op2(e23,e22)
| ~ spl52_32
| ~ spl52_54
| ~ spl52_329
| ~ spl52_338
| ~ spl52_349
| ~ spl52_398 ),
inference(forward_demodulation,[],[f11468,f1119]) ).
fof(f11468,plain,
( op2(e23,e22) = h3(e10)
| ~ spl52_32
| ~ spl52_329
| ~ spl52_338
| ~ spl52_349
| ~ spl52_398 ),
inference(forward_demodulation,[],[f11467,f3609]) ).
fof(f11467,plain,
( op2(e23,e22) = h3(op1(e11,e12))
| ~ spl52_32
| ~ spl52_329
| ~ spl52_349
| ~ spl52_398 ),
inference(forward_demodulation,[],[f8883,f11146]) ).
fof(f12899,plain,
( spl52_354
| spl52_23
| spl52_27
| ~ spl52_106
| ~ spl52_112
| ~ spl52_342 ),
inference(avatar_split_clause,[],[f12832,f3978,f1393,f1366,f995,f975,f6638]) ).
fof(f12832,plain,
( e11 = e13
| e10 = e11
| e11 = op1(e13,e12)
| ~ spl52_106
| ~ spl52_112
| ~ spl52_342 ),
inference(duplicate_literal_removal,[],[f12831]) ).
fof(f12831,plain,
( e11 = e13
| e10 = e11
| e11 = e13
| e11 = op1(e13,e12)
| ~ spl52_106
| ~ spl52_112
| ~ spl52_342 ),
inference(forward_demodulation,[],[f12296,f1395]) ).
fof(f12296,plain,
( e10 = e11
| e11 = e13
| e11 = op1(e13,e12)
| e11 = op1(e13,e10)
| ~ spl52_106
| ~ spl52_342 ),
inference(forward_demodulation,[],[f12295,f3980]) ).
fof(f12295,plain,
( e11 = e13
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10)
| ~ spl52_106 ),
inference(forward_demodulation,[],[f412,f1368]) ).
fof(f12873,plain,
( ~ spl52_301
| ~ spl52_83
| ~ spl52_301
| ~ spl52_352
| spl52_374 ),
inference(avatar_split_clause,[],[f12865,f7608,f6191,f2522,f1254,f2522]) ).
fof(f7608,plain,
( spl52_374
<=> op2(e23,e23) = h4(op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_374])]) ).
fof(f12865,plain,
( e22 != h4(e13)
| ~ spl52_83
| ~ spl52_301
| ~ spl52_352
| spl52_374 ),
inference(forward_demodulation,[],[f10725,f6193]) ).
fof(f10725,plain,
( e22 != h4(op1(e11,e11))
| ~ spl52_83
| ~ spl52_301
| spl52_374 ),
inference(forward_demodulation,[],[f10724,f2524]) ).
fof(f10724,plain,
( h4(e13) != h4(op1(e11,e11))
| ~ spl52_83
| spl52_374 ),
inference(forward_demodulation,[],[f7610,f1256]) ).
fof(f7610,plain,
( op2(e23,e23) != h4(op1(e11,e11))
| spl52_374 ),
inference(avatar_component_clause,[],[f7608]) ).
fof(f12867,plain,
( ~ spl52_301
| ~ spl52_84
| ~ spl52_345
| ~ spl52_346
| ~ spl52_352
| spl52_360 ),
inference(avatar_split_clause,[],[f12863,f7460,f6191,f5149,f5052,f1259,f2522]) ).
fof(f12863,plain,
( e22 != h4(e13)
| ~ spl52_84
| ~ spl52_345
| ~ spl52_346
| ~ spl52_352
| spl52_360 ),
inference(forward_demodulation,[],[f11208,f6193]) ).
fof(f11208,plain,
( e22 != h4(op1(e11,e11))
| ~ spl52_84
| ~ spl52_345
| ~ spl52_346
| spl52_360 ),
inference(forward_demodulation,[],[f11207,f5054]) ).
fof(f11207,plain,
( h1(e13) != h4(op1(e11,e11))
| ~ spl52_84
| ~ spl52_346
| spl52_360 ),
inference(forward_demodulation,[],[f11206,f1261]) ).
fof(f11206,plain,
( op2(e20,e20) != h4(op1(e11,e11))
| ~ spl52_346
| spl52_360 ),
inference(forward_demodulation,[],[f7462,f5151]) ).
fof(f12862,plain,
( ~ spl52_301
| ~ spl52_352
| spl52_452 ),
inference(avatar_split_clause,[],[f12681,f10892,f6191,f2522]) ).
fof(f10892,plain,
( spl52_452
<=> e22 = h4(op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_452])]) ).
fof(f12681,plain,
( e22 != h4(e13)
| ~ spl52_352
| spl52_452 ),
inference(superposition,[],[f10894,f6193]) ).
fof(f10894,plain,
( e22 != h4(op1(e11,e11))
| spl52_452 ),
inference(avatar_component_clause,[],[f10892]) ).
fof(f12779,plain,
( spl52_104
| spl52_23
| spl52_26
| ~ spl52_289
| ~ spl52_334
| ~ spl52_338 ),
inference(avatar_split_clause,[],[f12747,f3607,f3488,f2443,f990,f975,f1355]) ).
fof(f2443,plain,
( spl52_289
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_289])]) ).
fof(f12747,plain,
( e11 = e12
| e10 = e11
| e11 = op1(e11,e11)
| ~ spl52_289
| ~ spl52_334
| ~ spl52_338 ),
inference(duplicate_literal_removal,[],[f12746]) ).
fof(f12746,plain,
( e11 = e12
| e10 = e11
| e11 = e12
| e11 = op1(e11,e11)
| ~ spl52_289
| ~ spl52_334
| ~ spl52_338 ),
inference(forward_demodulation,[],[f11862,f3490]) ).
fof(f11862,plain,
( e10 = e11
| e11 = e12
| e11 = op1(e11,e11)
| e11 = op1(e11,e10)
| ~ spl52_289
| ~ spl52_338 ),
inference(forward_demodulation,[],[f6793,f3609]) ).
fof(f6793,plain,
( e11 = e12
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10)
| ~ spl52_289 ),
inference(forward_demodulation,[],[f396,f2445]) ).
fof(f2445,plain,
( e12 = op1(e11,e13)
| ~ spl52_289 ),
inference(avatar_component_clause,[],[f2443]) ).
fof(f12723,plain,
( spl52_353
| spl52_23
| spl52_27
| spl52_26
| ~ spl52_342
| ~ spl52_352
| ~ spl52_478 ),
inference(avatar_split_clause,[],[f12685,f12663,f6191,f3978,f990,f995,f975,f6338]) ).
fof(f6338,plain,
( spl52_353
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_353])]) ).
fof(f12663,plain,
( spl52_478
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_478])]) ).
fof(f12685,plain,
( e11 = e12
| e11 = e13
| e10 = e11
| e11 = op1(e12,e11)
| ~ spl52_342
| ~ spl52_352
| ~ spl52_478 ),
inference(forward_demodulation,[],[f12684,f12665]) ).
fof(f12665,plain,
( e12 = op1(e10,e11)
| ~ spl52_478 ),
inference(avatar_component_clause,[],[f12663]) ).
fof(f12684,plain,
( e11 = e13
| e10 = e11
| e11 = op1(e12,e11)
| e11 = op1(e10,e11)
| ~ spl52_342
| ~ spl52_352 ),
inference(forward_demodulation,[],[f12291,f6193]) ).
fof(f12291,plain,
( e10 = e11
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11)
| ~ spl52_342 ),
inference(forward_demodulation,[],[f397,f3980]) ).
fof(f397,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f12712,plain,
( ~ spl52_29
| ~ spl52_334
| spl52_454 ),
inference(avatar_split_clause,[],[f12418,f10902,f3488,f1005]) ).
fof(f10902,plain,
( spl52_454
<=> e23 = h4(op1(e11,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_454])]) ).
fof(f12418,plain,
( e23 != h4(e12)
| ~ spl52_334
| spl52_454 ),
inference(superposition,[],[f10904,f3490]) ).
fof(f10904,plain,
( e23 != h4(op1(e11,e10))
| spl52_454 ),
inference(avatar_component_clause,[],[f10902]) ).
fof(f12683,plain,
( spl52_342
| spl52_339
| spl52_24
| spl52_25
| ~ spl52_112
| ~ spl52_290 ),
inference(avatar_split_clause,[],[f12606,f2447,f1393,f985,f980,f3630,f3978]) ).
fof(f985,plain,
( spl52_25
<=> e10 = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_25])]) ).
fof(f12606,plain,
( e10 = e13
| e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| ~ spl52_112
| ~ spl52_290 ),
inference(forward_demodulation,[],[f11749,f1395]) ).
fof(f11749,plain,
( e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10)
| ~ spl52_290 ),
inference(forward_demodulation,[],[f410,f2449]) ).
fof(f410,plain,
( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f12676,plain,
( spl52_352
| spl52_27
| spl52_25
| spl52_28
| ~ spl52_118
| ~ spl52_334
| ~ spl52_338 ),
inference(avatar_split_clause,[],[f12623,f3607,f3488,f1420,f1000,f985,f995,f6191]) ).
fof(f12623,plain,
( e12 = e13
| e10 = e13
| e11 = e13
| e13 = op1(e11,e11)
| ~ spl52_118
| ~ spl52_334
| ~ spl52_338 ),
inference(forward_demodulation,[],[f12622,f3490]) ).
fof(f12622,plain,
( e10 = e13
| e11 = e13
| e13 = op1(e11,e11)
| e13 = op1(e11,e10)
| ~ spl52_118
| ~ spl52_338 ),
inference(forward_demodulation,[],[f12306,f3609]) ).
fof(f12306,plain,
( e11 = e13
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10)
| ~ spl52_118 ),
inference(forward_demodulation,[],[f400,f1422]) ).
fof(f400,plain,
( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f12666,plain,
( spl52_478
| spl52_26
| spl52_28
| spl52_24
| ~ spl52_103
| ~ spl52_330
| ~ spl52_350 ),
inference(avatar_split_clause,[],[f11730,f6152,f3135,f1350,f980,f1000,f990,f12663]) ).
fof(f3135,plain,
( spl52_330
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_330])]) ).
fof(f11730,plain,
( e10 = e12
| e12 = e13
| e11 = e12
| e12 = op1(e10,e11)
| ~ spl52_103
| ~ spl52_330
| ~ spl52_350 ),
inference(forward_demodulation,[],[f11602,f1352]) ).
fof(f11602,plain,
( e12 = e13
| e11 = e12
| e12 = op1(e10,e11)
| op1(e10,e10) = e12
| ~ spl52_330
| ~ spl52_350 ),
inference(forward_demodulation,[],[f5847,f6154]) ).
fof(f5847,plain,
( e11 = e12
| e12 = op1(e10,e13)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12
| ~ spl52_330 ),
inference(forward_demodulation,[],[f390,f3137]) ).
fof(f3137,plain,
( e11 = op1(e10,e12)
| ~ spl52_330 ),
inference(avatar_component_clause,[],[f3135]) ).
fof(f390,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f12659,plain,
( spl52_351
| spl52_25
| spl52_28
| ~ spl52_334
| ~ spl52_338
| ~ spl52_340 ),
inference(avatar_split_clause,[],[f12452,f3644,f3607,f3488,f1000,f985,f6156]) ).
fof(f3644,plain,
( spl52_340
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_340])]) ).
fof(f12452,plain,
( e12 = e13
| e10 = e13
| e13 = op1(e11,e13)
| ~ spl52_334
| ~ spl52_338
| ~ spl52_340 ),
inference(duplicate_literal_removal,[],[f12451]) ).
fof(f12451,plain,
( e12 = e13
| e12 = e13
| e10 = e13
| e13 = op1(e11,e13)
| ~ spl52_334
| ~ spl52_338
| ~ spl52_340 ),
inference(forward_demodulation,[],[f12450,f3490]) ).
fof(f12450,plain,
( e12 = e13
| e10 = e13
| e13 = op1(e11,e13)
| e13 = op1(e11,e10)
| ~ spl52_338
| ~ spl52_340 ),
inference(forward_demodulation,[],[f12449,f3646]) ).
fof(f3646,plain,
( e12 = op1(e11,e11)
| ~ spl52_340 ),
inference(avatar_component_clause,[],[f3644]) ).
fof(f12449,plain,
( e10 = e13
| e13 = op1(e11,e13)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10)
| ~ spl52_338 ),
inference(forward_demodulation,[],[f400,f3609]) ).
fof(f12542,plain,
( spl52_118
| spl52_23
| spl52_26
| ~ spl52_334
| ~ spl52_338
| ~ spl52_340 ),
inference(avatar_split_clause,[],[f12456,f3644,f3607,f3488,f990,f975,f1420]) ).
fof(f12456,plain,
( e11 = e12
| e10 = e11
| e11 = op1(e11,e13)
| ~ spl52_334
| ~ spl52_338
| ~ spl52_340 ),
inference(duplicate_literal_removal,[],[f12455]) ).
fof(f12455,plain,
( e11 = e12
| e11 = e12
| e10 = e11
| e11 = op1(e11,e13)
| ~ spl52_334
| ~ spl52_338
| ~ spl52_340 ),
inference(forward_demodulation,[],[f12454,f3490]) ).
fof(f12454,plain,
( e11 = e12
| e10 = e11
| e11 = op1(e11,e13)
| e11 = op1(e11,e10)
| ~ spl52_338
| ~ spl52_340 ),
inference(forward_demodulation,[],[f12453,f3646]) ).
fof(f12453,plain,
( e10 = e11
| e11 = op1(e11,e13)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10)
| ~ spl52_338 ),
inference(forward_demodulation,[],[f396,f3609]) ).
fof(f12526,plain,
( ~ spl52_459
| ~ spl52_83
| ~ spl52_301
| spl52_399 ),
inference(avatar_split_clause,[],[f12446,f7766,f2522,f1254,f10966]) ).
fof(f10966,plain,
( spl52_459
<=> e22 = h3(op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_459])]) ).
fof(f7766,plain,
( spl52_399
<=> op2(e23,e23) = h3(op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_399])]) ).
fof(f12446,plain,
( e22 != h3(op1(e13,e13))
| ~ spl52_83
| ~ spl52_301
| spl52_399 ),
inference(forward_demodulation,[],[f12445,f2524]) ).
fof(f12445,plain,
( h4(e13) != h3(op1(e13,e13))
| ~ spl52_83
| spl52_399 ),
inference(forward_demodulation,[],[f7768,f1256]) ).
fof(f7768,plain,
( op2(e23,e23) != h3(op1(e13,e13))
| spl52_399 ),
inference(avatar_component_clause,[],[f7766]) ).
fof(f12524,plain,
( ~ spl52_458
| spl52_370
| ~ spl52_421 ),
inference(avatar_split_clause,[],[f12129,f9092,f7500,f10953]) ).
fof(f10953,plain,
( spl52_458
<=> e23 = h4(op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_458])]) ).
fof(f7500,plain,
( spl52_370
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_370])]) ).
fof(f9092,plain,
( spl52_421
<=> e23 = op2(h4(e13),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_421])]) ).
fof(f12129,plain,
( e23 != h4(op1(e13,e13))
| spl52_370
| ~ spl52_421 ),
inference(forward_demodulation,[],[f7502,f9094]) ).
fof(f9094,plain,
( e23 = op2(h4(e13),h4(e13))
| ~ spl52_421 ),
inference(avatar_component_clause,[],[f9092]) ).
fof(f7502,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| spl52_370 ),
inference(avatar_component_clause,[],[f7500]) ).
fof(f12522,plain,
( ~ spl52_465
| ~ spl52_102
| ~ spl52_301
| ~ spl52_346
| spl52_362 ),
inference(avatar_split_clause,[],[f10775,f7468,f5149,f2522,f1345,f11041]) ).
fof(f10775,plain,
( e20 != h4(op1(e11,e13))
| ~ spl52_102
| ~ spl52_301
| ~ spl52_346
| spl52_362 ),
inference(forward_demodulation,[],[f7532,f1347]) ).
fof(f7532,plain,
( op2(e20,e22) != h4(op1(e11,e13))
| ~ spl52_301
| ~ spl52_346
| spl52_362 ),
inference(forward_demodulation,[],[f7531,f5151]) ).
fof(f7531,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e22)
| ~ spl52_301
| spl52_362 ),
inference(forward_demodulation,[],[f7470,f2524]) ).
fof(f7470,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| spl52_362 ),
inference(avatar_component_clause,[],[f7468]) ).
fof(f12503,plain,
( ~ spl52_102
| ~ spl52_301
| ~ spl52_346
| spl52_362
| ~ spl52_465 ),
inference(avatar_split_clause,[],[f12469,f11041,f7468,f5149,f2522,f1345]) ).
fof(f12469,plain,
( e20 != op2(e20,e22)
| ~ spl52_301
| ~ spl52_346
| spl52_362
| ~ spl52_465 ),
inference(forward_demodulation,[],[f11212,f11042]) ).
fof(f11212,plain,
( op2(e20,e22) != h4(op1(e11,e13))
| ~ spl52_301
| ~ spl52_346
| spl52_362 ),
inference(forward_demodulation,[],[f7531,f5151]) ).
fof(f12492,plain,
( spl52_5
| ~ spl52_467
| ~ spl52_470 ),
inference(avatar_split_clause,[],[f11919,f11635,f11053,f885]) ).
fof(f11919,plain,
( e21 = e23
| ~ spl52_467
| ~ spl52_470 ),
inference(forward_demodulation,[],[f11055,f11636]) ).
fof(f11055,plain,
( e23 = h3(op1(e11,e13))
| ~ spl52_467 ),
inference(avatar_component_clause,[],[f11053]) ).
fof(f12441,plain,
( spl52_342
| spl52_339
| spl52_25
| ~ spl52_106
| ~ spl52_112 ),
inference(avatar_split_clause,[],[f12395,f1393,f1366,f985,f3630,f3978]) ).
fof(f12395,plain,
( e10 = e13
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| ~ spl52_106
| ~ spl52_112 ),
inference(duplicate_literal_removal,[],[f12394]) ).
fof(f12394,plain,
( e10 = e13
| e10 = e13
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| ~ spl52_106
| ~ spl52_112 ),
inference(forward_demodulation,[],[f12393,f1395]) ).
fof(f12393,plain,
( e10 = e13
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10)
| ~ spl52_106 ),
inference(forward_demodulation,[],[f410,f1368]) ).
fof(f12423,plain,
( spl52_1
| ~ spl52_270
| ~ spl52_474 ),
inference(avatar_split_clause,[],[f12384,f11755,f2244,f865]) ).
fof(f11755,plain,
( spl52_474
<=> e20 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_474])]) ).
fof(f12384,plain,
( e20 = e21
| ~ spl52_270
| ~ spl52_474 ),
inference(superposition,[],[f11757,f2246]) ).
fof(f11757,plain,
( e20 = h3(e11)
| ~ spl52_474 ),
inference(avatar_component_clause,[],[f11755]) ).
fof(f12392,plain,
( spl52_104
| ~ spl52_114
| ~ spl52_353 ),
inference(avatar_split_clause,[],[f12341,f6338,f1402,f1355]) ).
fof(f12341,plain,
( e11 = op1(e11,e11)
| ~ spl52_114
| ~ spl52_353 ),
inference(forward_demodulation,[],[f6340,f6342]) ).
fof(f6342,plain,
( e11 = e12
| ~ spl52_114
| ~ spl52_353 ),
inference(superposition,[],[f6340,f1404]) ).
fof(f6340,plain,
( e11 = op1(e12,e11)
| ~ spl52_353 ),
inference(avatar_component_clause,[],[f6338]) ).
fof(f12376,plain,
( ~ spl52_455
| ~ spl52_54
| ~ spl52_270
| ~ spl52_312
| spl52_388 ),
inference(avatar_split_clause,[],[f12299,f7722,f2619,f2244,f1118,f10908]) ).
fof(f10908,plain,
( spl52_455
<=> e20 = h3(op1(e11,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_455])]) ).
fof(f12299,plain,
( e20 != h3(op1(e11,e10))
| ~ spl52_54
| ~ spl52_270
| ~ spl52_312
| spl52_388 ),
inference(forward_demodulation,[],[f10947,f2620]) ).
fof(f10947,plain,
( op2(e21,e20) != h3(op1(e11,e10))
| ~ spl52_54
| ~ spl52_270
| spl52_388 ),
inference(forward_demodulation,[],[f10946,f2246]) ).
fof(f10946,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| ~ spl52_54
| spl52_388 ),
inference(forward_demodulation,[],[f7724,f1119]) ).
fof(f12373,plain,
( ~ spl52_454
| ~ spl52_46
| ~ spl52_324
| ~ spl52_346
| spl52_359 ),
inference(avatar_split_clause,[],[f10729,f7456,f5149,f3087,f1082,f10902]) ).
fof(f10729,plain,
( e23 != h4(op1(e11,e10))
| ~ spl52_46
| ~ spl52_324
| ~ spl52_346
| spl52_359 ),
inference(forward_demodulation,[],[f10276,f3089]) ).
fof(f10276,plain,
( op2(e20,e21) != h4(op1(e11,e10))
| ~ spl52_46
| ~ spl52_346
| spl52_359 ),
inference(forward_demodulation,[],[f10275,f5151]) ).
fof(f10275,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e21)
| ~ spl52_46
| spl52_359 ),
inference(forward_demodulation,[],[f7458,f1083]) ).
fof(f7458,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| spl52_359 ),
inference(avatar_component_clause,[],[f7456]) ).
fof(f12363,plain,
( spl52_2
| ~ spl52_46
| ~ spl52_260
| ~ spl52_288
| ~ spl52_301
| ~ spl52_367
| ~ spl52_450
| ~ spl52_461
| ~ spl52_476 ),
inference(avatar_split_clause,[],[f12319,f11889,f10995,f10690,f7488,f2522,f2439,f2180,f1082,f870]) ).
fof(f7488,plain,
( spl52_367
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_367])]) ).
fof(f10690,plain,
( spl52_450
<=> e22 = h4(op1(e13,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_450])]) ).
fof(f10995,plain,
( spl52_461
<=> e21 = h3(op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_461])]) ).
fof(f12319,plain,
( e20 = e22
| ~ spl52_46
| ~ spl52_260
| ~ spl52_288
| ~ spl52_301
| ~ spl52_367
| ~ spl52_450
| ~ spl52_461
| ~ spl52_476 ),
inference(forward_demodulation,[],[f12318,f12155]) ).
fof(f12155,plain,
( e20 = e21
| ~ spl52_288
| ~ spl52_461
| ~ spl52_476 ),
inference(forward_demodulation,[],[f12153,f11891]) ).
fof(f11891,plain,
( e20 = h3(e12)
| ~ spl52_476 ),
inference(avatar_component_clause,[],[f11889]) ).
fof(f12153,plain,
( e21 = h3(e12)
| ~ spl52_288
| ~ spl52_461 ),
inference(superposition,[],[f10997,f2441]) ).
fof(f10997,plain,
( e21 = h3(op1(e10,e13))
| ~ spl52_461 ),
inference(avatar_component_clause,[],[f10995]) ).
fof(f12318,plain,
( e21 = e22
| ~ spl52_46
| ~ spl52_260
| ~ spl52_288
| ~ spl52_301
| ~ spl52_367
| ~ spl52_450
| ~ spl52_461
| ~ spl52_476 ),
inference(forward_demodulation,[],[f12317,f2182]) ).
fof(f12317,plain,
( e22 = op2(e22,e20)
| ~ spl52_46
| ~ spl52_288
| ~ spl52_301
| ~ spl52_367
| ~ spl52_450
| ~ spl52_461
| ~ spl52_476 ),
inference(forward_demodulation,[],[f12316,f10692]) ).
fof(f10692,plain,
( e22 = h4(op1(e13,e10))
| ~ spl52_450 ),
inference(avatar_component_clause,[],[f10690]) ).
fof(f12316,plain,
( op2(e22,e20) = h4(op1(e13,e10))
| ~ spl52_46
| ~ spl52_288
| ~ spl52_301
| ~ spl52_367
| ~ spl52_461
| ~ spl52_476 ),
inference(forward_demodulation,[],[f12315,f2524]) ).
fof(f12315,plain,
( h4(op1(e13,e10)) = op2(h4(e13),e20)
| ~ spl52_46
| ~ spl52_288
| ~ spl52_367
| ~ spl52_461
| ~ spl52_476 ),
inference(forward_demodulation,[],[f10597,f12155]) ).
fof(f10597,plain,
( h4(op1(e13,e10)) = op2(h4(e13),e21)
| ~ spl52_46
| ~ spl52_367 ),
inference(forward_demodulation,[],[f7489,f1083]) ).
fof(f7489,plain,
( h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
| ~ spl52_367 ),
inference(avatar_component_clause,[],[f7488]) ).
fof(f12283,plain,
( spl52_216
| spl52_27
| spl52_25
| spl52_28
| ~ spl52_329
| ~ spl52_340
| ~ spl52_342 ),
inference(avatar_split_clause,[],[f12238,f3978,f3644,f3131,f1000,f985,f995,f1936]) ).
fof(f1936,plain,
( spl52_216
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_216])]) ).
fof(f12238,plain,
( e12 = e13
| e10 = e13
| e11 = e13
| e13 = op1(e12,e11)
| ~ spl52_329
| ~ spl52_340
| ~ spl52_342 ),
inference(forward_demodulation,[],[f12237,f3646]) ).
fof(f12237,plain,
( e10 = e13
| e11 = e13
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| ~ spl52_329
| ~ spl52_342 ),
inference(forward_demodulation,[],[f11895,f3980]) ).
fof(f11895,plain,
( e11 = e13
| e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| ~ spl52_329 ),
inference(forward_demodulation,[],[f401,f3133]) ).
fof(f401,plain,
( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f12256,plain,
( spl52_6
| ~ spl52_29
| ~ spl52_288
| ~ spl52_460 ),
inference(avatar_split_clause,[],[f12154,f10978,f2439,f1005,f890]) ).
fof(f12154,plain,
( e22 = e23
| ~ spl52_29
| ~ spl52_288
| ~ spl52_460 ),
inference(forward_demodulation,[],[f12152,f1007]) ).
fof(f12152,plain,
( e22 = h4(e12)
| ~ spl52_288
| ~ spl52_460 ),
inference(superposition,[],[f10979,f2441]) ).
fof(f12248,plain,
( ~ spl52_474
| ~ spl52_329
| spl52_477 ),
inference(avatar_split_clause,[],[f12247,f12243,f3131,f11755]) ).
fof(f12243,plain,
( spl52_477
<=> e20 = h3(op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_477])]) ).
fof(f12247,plain,
( e20 != h3(e11)
| ~ spl52_329
| spl52_477 ),
inference(forward_demodulation,[],[f12245,f3133]) ).
fof(f12245,plain,
( e20 != h3(op1(e10,e11))
| spl52_477 ),
inference(avatar_component_clause,[],[f12243]) ).
fof(f12246,plain,
( ~ spl52_477
| ~ spl52_288
| ~ spl52_461
| spl52_473
| ~ spl52_476 ),
inference(avatar_split_clause,[],[f12230,f11889,f11740,f10995,f2439,f12243]) ).
fof(f12230,plain,
( e20 != h3(op1(e10,e11))
| ~ spl52_288
| ~ spl52_461
| spl52_473
| ~ spl52_476 ),
inference(forward_demodulation,[],[f11741,f12155]) ).
fof(f12225,plain,
( spl52_353
| spl52_23
| spl52_26
| spl52_27
| ~ spl52_340
| ~ spl52_342
| ~ spl52_349 ),
inference(avatar_split_clause,[],[f12202,f5923,f3978,f3644,f995,f990,f975,f6338]) ).
fof(f12202,plain,
( e11 = e13
| e11 = e12
| e10 = e11
| e11 = op1(e12,e11)
| ~ spl52_340
| ~ spl52_342
| ~ spl52_349 ),
inference(forward_demodulation,[],[f12201,f5925]) ).
fof(f12201,plain,
( e11 = e12
| e10 = e11
| e11 = op1(e12,e11)
| e11 = op1(e10,e11)
| ~ spl52_340
| ~ spl52_342 ),
inference(forward_demodulation,[],[f10727,f3646]) ).
fof(f10727,plain,
( e10 = e11
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11)
| ~ spl52_342 ),
inference(forward_demodulation,[],[f397,f3980]) ).
fof(f12200,plain,
( spl52_342
| spl52_339
| spl52_25
| spl52_24
| ~ spl52_106
| ~ spl52_335 ),
inference(avatar_split_clause,[],[f12112,f3492,f1366,f980,f985,f3630,f3978]) ).
fof(f3492,plain,
( spl52_335
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_335])]) ).
fof(f12112,plain,
( e10 = e12
| e10 = e13
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| ~ spl52_106
| ~ spl52_335 ),
inference(forward_demodulation,[],[f3613,f3494]) ).
fof(f3494,plain,
( e12 = op1(e13,e10)
| ~ spl52_335 ),
inference(avatar_component_clause,[],[f3492]) ).
fof(f3613,plain,
( e10 = e13
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10)
| ~ spl52_106 ),
inference(forward_demodulation,[],[f410,f1368]) ).
fof(f12185,plain,
( spl52_6
| ~ spl52_88
| ~ spl52_106
| ~ spl52_459 ),
inference(avatar_split_clause,[],[f12139,f10966,f1366,f1281,f890]) ).
fof(f12139,plain,
( e22 = e23
| ~ spl52_88
| ~ spl52_106
| ~ spl52_459 ),
inference(forward_demodulation,[],[f12137,f1283]) ).
fof(f12137,plain,
( e22 = h3(e13)
| ~ spl52_106
| ~ spl52_459 ),
inference(superposition,[],[f10968,f1368]) ).
fof(f10968,plain,
( e22 = h3(op1(e13,e13))
| ~ spl52_459 ),
inference(avatar_component_clause,[],[f10966]) ).
fof(f12120,plain,
( spl52_72
| ~ spl52_106
| ~ spl52_458 ),
inference(avatar_split_clause,[],[f12119,f10953,f1366,f1201]) ).
fof(f1201,plain,
( spl52_72
<=> e23 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_72])]) ).
fof(f12119,plain,
( e23 = h4(e13)
| ~ spl52_106
| ~ spl52_458 ),
inference(forward_demodulation,[],[f10955,f1368]) ).
fof(f10955,plain,
( e23 = h4(op1(e13,e13))
| ~ spl52_458 ),
inference(avatar_component_clause,[],[f10953]) ).
fof(f12118,plain,
( spl52_458
| ~ spl52_370
| ~ spl52_421 ),
inference(avatar_split_clause,[],[f12104,f9092,f7500,f10953]) ).
fof(f12104,plain,
( e23 = h4(op1(e13,e13))
| ~ spl52_370
| ~ spl52_421 ),
inference(forward_demodulation,[],[f7501,f9094]) ).
fof(f7501,plain,
( h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
| ~ spl52_370 ),
inference(avatar_component_clause,[],[f7500]) ).
fof(f12117,plain,
( ~ spl52_274
| ~ spl52_349
| spl52_473 ),
inference(avatar_split_clause,[],[f12089,f11740,f5923,f2262]) ).
fof(f2262,plain,
( spl52_274
<=> e21 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_274])]) ).
fof(f12089,plain,
( e21 != h3(e13)
| ~ spl52_349
| spl52_473 ),
inference(forward_demodulation,[],[f11741,f5925]) ).
fof(f12110,plain,
( spl52_24
| ~ spl52_68
| ~ spl52_296
| ~ spl52_338
| ~ spl52_347 ),
inference(avatar_split_clause,[],[f11994,f5580,f3607,f2486,f1182,f980]) ).
fof(f2486,plain,
( spl52_296
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_296])]) ).
fof(f11994,plain,
( e10 = e12
| ~ spl52_68
| ~ spl52_296
| ~ spl52_338
| ~ spl52_347 ),
inference(forward_demodulation,[],[f11993,f3609]) ).
fof(f11993,plain,
( e12 = op1(e11,e12)
| ~ spl52_68
| ~ spl52_296
| ~ spl52_347 ),
inference(forward_demodulation,[],[f2488,f5625]) ).
fof(f2488,plain,
( e12 = op1(e13,e12)
| ~ spl52_296 ),
inference(avatar_component_clause,[],[f2486]) ).
fof(f12107,plain,
( spl52_460
| ~ spl52_46
| ~ spl52_286
| ~ spl52_301
| ~ spl52_358 ),
inference(avatar_split_clause,[],[f11915,f7452,f2522,f2424,f1082,f10978]) ).
fof(f11915,plain,
( e22 = h4(op1(e10,e13))
| ~ spl52_46
| ~ spl52_286
| ~ spl52_301
| ~ spl52_358 ),
inference(forward_demodulation,[],[f10991,f2426]) ).
fof(f10991,plain,
( op2(e21,e22) = h4(op1(e10,e13))
| ~ spl52_46
| ~ spl52_301
| ~ spl52_358 ),
inference(forward_demodulation,[],[f10990,f1083]) ).
fof(f10990,plain,
( h4(op1(e10,e13)) = op2(h4(e10),e22)
| ~ spl52_301
| ~ spl52_358 ),
inference(forward_demodulation,[],[f7453,f2524]) ).
fof(f12092,plain,
( ~ spl52_67
| ~ spl52_29
| ~ spl52_68
| ~ spl52_301
| ~ spl52_340
| ~ spl52_347
| spl52_370 ),
inference(avatar_split_clause,[],[f12047,f7500,f5580,f3644,f2522,f1182,f1005,f1177]) ).
fof(f12047,plain,
( e23 != op2(e22,e22)
| ~ spl52_29
| ~ spl52_68
| ~ spl52_301
| ~ spl52_340
| ~ spl52_347
| spl52_370 ),
inference(forward_demodulation,[],[f12046,f1007]) ).
fof(f12046,plain,
( op2(e22,e22) != h4(e12)
| ~ spl52_68
| ~ spl52_301
| ~ spl52_340
| ~ spl52_347
| spl52_370 ),
inference(forward_demodulation,[],[f12045,f3646]) ).
fof(f12045,plain,
( op2(e22,e22) != h4(op1(e11,e11))
| ~ spl52_68
| ~ spl52_301
| ~ spl52_347
| spl52_370 ),
inference(forward_demodulation,[],[f7504,f5625]) ).
fof(f7504,plain,
( op2(e22,e22) != h4(op1(e13,e13))
| ~ spl52_301
| spl52_370 ),
inference(forward_demodulation,[],[f7502,f2524]) ).
fof(f12085,plain,
( spl52_5
| ~ spl52_449
| ~ spl52_473 ),
inference(avatar_split_clause,[],[f12066,f11740,f10683,f885]) ).
fof(f12066,plain,
( e21 = e23
| ~ spl52_449
| ~ spl52_473 ),
inference(forward_demodulation,[],[f10684,f11742]) ).
fof(f11742,plain,
( e21 = h3(op1(e10,e11))
| ~ spl52_473 ),
inference(avatar_component_clause,[],[f11740]) ).
fof(f12071,plain,
( spl52_5
| ~ spl52_118
| ~ spl52_270
| ~ spl52_467 ),
inference(avatar_split_clause,[],[f12004,f11053,f2244,f1420,f885]) ).
fof(f12004,plain,
( e21 = e23
| ~ spl52_118
| ~ spl52_270
| ~ spl52_467 ),
inference(forward_demodulation,[],[f11642,f2246]) ).
fof(f11642,plain,
( e23 = h3(e11)
| ~ spl52_118
| ~ spl52_467 ),
inference(forward_demodulation,[],[f11055,f1422]) ).
fof(f12036,plain,
( spl52_160
| ~ spl52_54
| ~ spl52_88
| ~ spl52_274
| ~ spl52_387
| ~ spl52_461 ),
inference(avatar_split_clause,[],[f12024,f10995,f7718,f2262,f1281,f1118,f1637]) ).
fof(f12024,plain,
( e21 = op2(e20,e21)
| ~ spl52_54
| ~ spl52_88
| ~ spl52_274
| ~ spl52_387
| ~ spl52_461 ),
inference(forward_demodulation,[],[f12023,f10997]) ).
fof(f12023,plain,
( op2(e20,e21) = h3(op1(e10,e13))
| ~ spl52_54
| ~ spl52_88
| ~ spl52_274
| ~ spl52_387 ),
inference(forward_demodulation,[],[f12022,f1119]) ).
fof(f12022,plain,
( h3(op1(e10,e13)) = op2(h3(e10),e21)
| ~ spl52_88
| ~ spl52_274
| ~ spl52_387 ),
inference(forward_demodulation,[],[f7719,f11075]) ).
fof(f11075,plain,
( e21 = e23
| ~ spl52_88
| ~ spl52_274 ),
inference(superposition,[],[f2263,f1283]) ).
fof(f2263,plain,
( e21 = h3(e13)
| ~ spl52_274 ),
inference(avatar_component_clause,[],[f2262]) ).
fof(f12029,plain,
( ~ spl52_46
| ~ spl52_88
| ~ spl52_274
| ~ spl52_324
| ~ spl52_338
| ~ spl52_346
| spl52_361 ),
inference(avatar_split_clause,[],[f12026,f7464,f5149,f3607,f3087,f2262,f1281,f1082]) ).
fof(f12026,plain,
( e21 != h4(e10)
| ~ spl52_88
| ~ spl52_274
| ~ spl52_324
| ~ spl52_338
| ~ spl52_346
| spl52_361 ),
inference(forward_demodulation,[],[f11222,f3609]) ).
fof(f11222,plain,
( e21 != h4(op1(e11,e12))
| ~ spl52_88
| ~ spl52_274
| ~ spl52_324
| ~ spl52_346
| spl52_361 ),
inference(forward_demodulation,[],[f11221,f11075]) ).
fof(f11221,plain,
( e23 != h4(op1(e11,e12))
| ~ spl52_88
| ~ spl52_274
| ~ spl52_324
| ~ spl52_346
| spl52_361 ),
inference(forward_demodulation,[],[f11220,f3089]) ).
fof(f11220,plain,
( op2(e20,e21) != h4(op1(e11,e12))
| ~ spl52_88
| ~ spl52_274
| ~ spl52_346
| spl52_361 ),
inference(forward_demodulation,[],[f11219,f5151]) ).
fof(f11219,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e21)
| ~ spl52_88
| ~ spl52_274
| spl52_361 ),
inference(forward_demodulation,[],[f7466,f11075]) ).
fof(f12025,plain,
( ~ spl52_46
| ~ spl52_338
| spl52_463 ),
inference(avatar_split_clause,[],[f11716,f11028,f3607,f1082]) ).
fof(f11028,plain,
( spl52_463
<=> e21 = h4(op1(e11,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_463])]) ).
fof(f11716,plain,
( e21 != h4(e10)
| ~ spl52_338
| spl52_463 ),
inference(superposition,[],[f11030,f3609]) ).
fof(f11030,plain,
( e21 != h4(op1(e11,e12))
| spl52_463 ),
inference(avatar_component_clause,[],[f11028]) ).
fof(f12019,plain,
( ~ spl52_461
| ~ spl52_54
| ~ spl52_88
| ~ spl52_274
| ~ spl52_324
| spl52_387 ),
inference(avatar_split_clause,[],[f11909,f7718,f3087,f2262,f1281,f1118,f10995]) ).
fof(f11909,plain,
( e21 != h3(op1(e10,e13))
| ~ spl52_54
| ~ spl52_88
| ~ spl52_274
| ~ spl52_324
| spl52_387 ),
inference(forward_demodulation,[],[f11908,f11075]) ).
fof(f11908,plain,
( e23 != h3(op1(e10,e13))
| ~ spl52_54
| ~ spl52_88
| ~ spl52_274
| ~ spl52_324
| spl52_387 ),
inference(forward_demodulation,[],[f11587,f3089]) ).
fof(f11587,plain,
( op2(e20,e21) != h3(op1(e10,e13))
| ~ spl52_54
| ~ spl52_88
| ~ spl52_274
| spl52_387 ),
inference(forward_demodulation,[],[f11586,f1119]) ).
fof(f11586,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e21)
| ~ spl52_88
| ~ spl52_274
| spl52_387 ),
inference(forward_demodulation,[],[f7720,f11075]) ).
fof(f12012,plain,
( spl52_337
| ~ spl52_88
| ~ spl52_274
| ~ spl52_301
| ~ spl52_370
| ~ spl52_458 ),
inference(avatar_split_clause,[],[f11937,f10953,f7500,f2522,f2262,f1281,f3600]) ).
fof(f3600,plain,
( spl52_337
<=> e21 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_337])]) ).
fof(f11937,plain,
( e21 = op2(e22,e22)
| ~ spl52_88
| ~ spl52_274
| ~ spl52_301
| ~ spl52_370
| ~ spl52_458 ),
inference(forward_demodulation,[],[f7564,f11920]) ).
fof(f11920,plain,
( e21 = h4(op1(e13,e13))
| ~ spl52_88
| ~ spl52_274
| ~ spl52_458 ),
inference(forward_demodulation,[],[f10955,f11075]) ).
fof(f7564,plain,
( op2(e22,e22) = h4(op1(e13,e13))
| ~ spl52_301
| ~ spl52_370 ),
inference(forward_demodulation,[],[f7501,f2524]) ).
fof(f11903,plain,
( spl52_104
| spl52_26
| spl52_27
| spl52_23
| ~ spl52_289
| ~ spl52_338
| ~ spl52_348 ),
inference(avatar_split_clause,[],[f11861,f5900,f3607,f2443,f975,f995,f990,f1355]) ).
fof(f5900,plain,
( spl52_348
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_348])]) ).
fof(f11861,plain,
( e10 = e11
| e11 = e13
| e11 = e12
| e11 = op1(e11,e11)
| ~ spl52_289
| ~ spl52_338
| ~ spl52_348 ),
inference(forward_demodulation,[],[f6794,f3609]) ).
fof(f6794,plain,
( e11 = e13
| e11 = e12
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| ~ spl52_289
| ~ spl52_348 ),
inference(forward_demodulation,[],[f6793,f5902]) ).
fof(f5902,plain,
( e13 = op1(e11,e10)
| ~ spl52_348 ),
inference(avatar_component_clause,[],[f5900]) ).
fof(f11902,plain,
( ~ spl52_453
| ~ spl52_70
| ~ spl52_85
| ~ spl52_270
| spl52_389 ),
inference(avatar_split_clause,[],[f11897,f7726,f2244,f1264,f1192,f10897]) ).
fof(f10897,plain,
( spl52_453
<=> e21 = h3(op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_453])]) ).
fof(f11897,plain,
( e21 != h3(op1(e11,e11))
| ~ spl52_70
| ~ spl52_85
| ~ spl52_270
| spl52_389 ),
inference(forward_demodulation,[],[f11896,f1194]) ).
fof(f11893,plain,
( spl52_118
| spl52_27
| spl52_23
| spl52_26
| ~ spl52_338
| ~ spl52_340
| ~ spl52_348 ),
inference(avatar_split_clause,[],[f11823,f5900,f3644,f3607,f990,f975,f995,f1420]) ).
fof(f11823,plain,
( e11 = e12
| e10 = e11
| e11 = e13
| e11 = op1(e11,e13)
| ~ spl52_338
| ~ spl52_340
| ~ spl52_348 ),
inference(forward_demodulation,[],[f11822,f3646]) ).
fof(f11822,plain,
( e10 = e11
| e11 = e13
| e11 = op1(e11,e13)
| e11 = op1(e11,e11)
| ~ spl52_338
| ~ spl52_348 ),
inference(forward_demodulation,[],[f11171,f3609]) ).
fof(f11171,plain,
( e11 = e13
| e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| ~ spl52_348 ),
inference(forward_demodulation,[],[f396,f5902]) ).
fof(f11892,plain,
( spl52_476
| ~ spl52_294
| ~ spl52_441 ),
inference(avatar_split_clause,[],[f11106,f10637,f2478,f11889]) ).
fof(f10637,plain,
( spl52_441
<=> e20 = h3(op1(e10,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_441])]) ).
fof(f11106,plain,
( e20 = h3(e12)
| ~ spl52_294
| ~ spl52_441 ),
inference(superposition,[],[f10639,f2480]) ).
fof(f10639,plain,
( e20 = h3(op1(e10,e12))
| ~ spl52_441 ),
inference(avatar_component_clause,[],[f10637]) ).
fof(f11869,plain,
( ~ spl52_475
| ~ spl52_88
| ~ spl52_274
| spl52_458 ),
inference(avatar_split_clause,[],[f11833,f10953,f2262,f1281,f11866]) ).
fof(f11866,plain,
( spl52_475
<=> e21 = h4(op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_475])]) ).
fof(f11833,plain,
( e21 != h4(op1(e13,e13))
| ~ spl52_88
| ~ spl52_274
| spl52_458 ),
inference(forward_demodulation,[],[f10954,f11075]) ).
fof(f10954,plain,
( e23 != h4(op1(e13,e13))
| spl52_458 ),
inference(avatar_component_clause,[],[f10953]) ).
fof(f11815,plain,
( spl52_218
| spl52_24
| spl52_23
| ~ spl52_68
| ~ spl52_329
| ~ spl52_340
| ~ spl52_347 ),
inference(avatar_split_clause,[],[f11809,f5580,f3644,f3131,f1182,f975,f980,f1947]) ).
fof(f1947,plain,
( spl52_218
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_218])]) ).
fof(f11809,plain,
( e10 = e11
| e10 = e12
| e10 = op1(e12,e11)
| ~ spl52_68
| ~ spl52_329
| ~ spl52_340
| ~ spl52_347 ),
inference(forward_demodulation,[],[f11808,f3133]) ).
fof(f11808,plain,
( e10 = e12
| e10 = op1(e12,e11)
| e10 = op1(e10,e11)
| ~ spl52_68
| ~ spl52_340
| ~ spl52_347 ),
inference(forward_demodulation,[],[f7292,f3646]) ).
fof(f7292,plain,
( e10 = op1(e11,e11)
| e10 = op1(e12,e11)
| e10 = op1(e10,e11)
| ~ spl52_68
| ~ spl52_347 ),
inference(duplicate_literal_removal,[],[f7291]) ).
fof(f7291,plain,
( e10 = op1(e11,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11)
| ~ spl52_68
| ~ spl52_347 ),
inference(forward_demodulation,[],[f395,f5625]) ).
fof(f395,plain,
( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f11806,plain,
( spl52_347
| spl52_23
| spl52_26
| ~ spl52_294
| ~ spl52_338
| ~ spl52_339 ),
inference(avatar_split_clause,[],[f11300,f3630,f3607,f2478,f990,f975,f5580]) ).
fof(f11300,plain,
( e11 = e12
| e10 = e11
| e11 = op1(e12,e12)
| ~ spl52_294
| ~ spl52_338
| ~ spl52_339 ),
inference(forward_demodulation,[],[f11299,f2480]) ).
fof(f11299,plain,
( e10 = e11
| e11 = op1(e12,e12)
| e11 = op1(e10,e12)
| ~ spl52_338
| ~ spl52_339 ),
inference(duplicate_literal_removal,[],[f11298]) ).
fof(f11298,plain,
( e10 = e11
| e10 = e11
| e11 = op1(e12,e12)
| e11 = op1(e10,e12)
| ~ spl52_338
| ~ spl52_339 ),
inference(forward_demodulation,[],[f7306,f3632]) ).
fof(f7306,plain,
( e10 = e11
| e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e10,e12)
| ~ spl52_338 ),
inference(forward_demodulation,[],[f405,f3609]) ).
fof(f405,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f11759,plain,
( spl52_342
| spl52_339
| spl52_24
| ~ spl52_290
| ~ spl52_335 ),
inference(avatar_split_clause,[],[f10497,f3492,f2447,f980,f3630,f3978]) ).
fof(f10497,plain,
( e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| ~ spl52_290
| ~ spl52_335 ),
inference(duplicate_literal_removal,[],[f10496]) ).
fof(f10496,plain,
( e10 = e12
| e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| ~ spl52_290
| ~ spl52_335 ),
inference(forward_demodulation,[],[f10495,f3494]) ).
fof(f10495,plain,
( e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10)
| ~ spl52_290 ),
inference(forward_demodulation,[],[f410,f2449]) ).
fof(f11758,plain,
( spl52_474
| ~ spl52_330
| ~ spl52_441 ),
inference(avatar_split_clause,[],[f11708,f10637,f3135,f11755]) ).
fof(f11708,plain,
( e20 = h3(e11)
| ~ spl52_330
| ~ spl52_441 ),
inference(superposition,[],[f10639,f3137]) ).
fof(f11753,plain,
( ~ spl52_129
| ~ spl52_103
| spl52_199 ),
inference(avatar_split_clause,[],[f1849,f1845,f1350,f1470]) ).
fof(f1470,plain,
( spl52_129
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_129])]) ).
fof(f1845,plain,
( spl52_199
<=> op1(e10,e10) = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_199])]) ).
fof(f1849,plain,
( e10 != op1(e10,e11)
| ~ spl52_103
| spl52_199 ),
inference(forward_demodulation,[],[f1847,f1352]) ).
fof(f1847,plain,
( op1(e10,e10) != op1(e10,e11)
| spl52_199 ),
inference(avatar_component_clause,[],[f1845]) ).
fof(f11744,plain,
( spl52_108
| spl52_25
| spl52_28
| ~ spl52_290
| ~ spl52_335
| ~ spl52_342 ),
inference(avatar_split_clause,[],[f11559,f3978,f3492,f2447,f1000,f985,f1375]) ).
fof(f1375,plain,
( spl52_108
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_108])]) ).
fof(f11559,plain,
( e12 = e13
| e10 = e13
| e13 = op1(e13,e12)
| ~ spl52_290
| ~ spl52_335
| ~ spl52_342 ),
inference(duplicate_literal_removal,[],[f11558]) ).
fof(f11558,plain,
( e12 = e13
| e12 = e13
| e10 = e13
| e13 = op1(e13,e12)
| ~ spl52_290
| ~ spl52_335
| ~ spl52_342 ),
inference(forward_demodulation,[],[f10627,f3494]) ).
fof(f10627,plain,
( e12 = e13
| e10 = e13
| e13 = op1(e13,e12)
| e13 = op1(e13,e10)
| ~ spl52_290
| ~ spl52_342 ),
inference(forward_demodulation,[],[f7317,f2449]) ).
fof(f7317,plain,
( e10 = e13
| e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e10)
| ~ spl52_342 ),
inference(forward_demodulation,[],[f416,f3980]) ).
fof(f416,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f11743,plain,
( spl52_473
| ~ spl52_88
| ~ spl52_274
| ~ spl52_449 ),
inference(avatar_split_clause,[],[f11737,f10683,f2262,f1281,f11740]) ).
fof(f11737,plain,
( e21 = h3(op1(e10,e11))
| ~ spl52_88
| ~ spl52_274
| ~ spl52_449 ),
inference(forward_demodulation,[],[f10684,f11075]) ).
fof(f11729,plain,
( spl52_26
| spl52_24
| spl52_28
| ~ spl52_103
| ~ spl52_330
| ~ spl52_349
| ~ spl52_350 ),
inference(avatar_split_clause,[],[f11598,f6152,f5923,f3135,f1350,f1000,f980,f990]) ).
fof(f11598,plain,
( e12 = e13
| e10 = e12
| e11 = e12
| ~ spl52_103
| ~ spl52_330
| ~ spl52_349
| ~ spl52_350 ),
inference(duplicate_literal_removal,[],[f11597]) ).
fof(f11597,plain,
( e12 = e13
| e10 = e12
| e12 = e13
| e11 = e12
| ~ spl52_103
| ~ spl52_330
| ~ spl52_349
| ~ spl52_350 ),
inference(forward_demodulation,[],[f6800,f5925]) ).
fof(f6800,plain,
( e10 = e12
| e12 = e13
| e11 = e12
| e12 = op1(e10,e11)
| ~ spl52_103
| ~ spl52_330
| ~ spl52_350 ),
inference(forward_demodulation,[],[f6799,f1352]) ).
fof(f6799,plain,
( e12 = e13
| e11 = e12
| e12 = op1(e10,e11)
| op1(e10,e10) = e12
| ~ spl52_330
| ~ spl52_350 ),
inference(forward_demodulation,[],[f5847,f6154]) ).
fof(f11718,plain,
( ~ spl52_346
| ~ spl52_118
| spl52_465 ),
inference(avatar_split_clause,[],[f11685,f11041,f1420,f5149]) ).
fof(f11685,plain,
( e20 != h4(e11)
| ~ spl52_118
| spl52_465 ),
inference(superposition,[],[f11043,f1422]) ).
fof(f11043,plain,
( e20 != h4(op1(e11,e13))
| spl52_465 ),
inference(avatar_component_clause,[],[f11041]) ).
fof(f11675,plain,
( ~ spl52_472
| ~ spl52_32
| ~ spl52_306
| spl52_398 ),
inference(avatar_split_clause,[],[f11546,f7762,f2568,f1020,f11672]) ).
fof(f11546,plain,
( e21 != h3(op1(e13,e12))
| ~ spl52_32
| ~ spl52_306
| spl52_398 ),
inference(forward_demodulation,[],[f11518,f2570]) ).
fof(f11518,plain,
( op2(e23,e22) != h3(op1(e13,e12))
| ~ spl52_32
| spl52_398 ),
inference(forward_demodulation,[],[f7764,f1022]) ).
fof(f7764,plain,
( h3(op1(e13,e12)) != op2(e23,h3(e12))
| spl52_398 ),
inference(avatar_component_clause,[],[f7762]) ).
fof(f11662,plain,
( ~ spl52_46
| ~ spl52_103
| spl52_444 ),
inference(avatar_split_clause,[],[f11078,f10655,f1350,f1082]) ).
fof(f10655,plain,
( spl52_444
<=> e21 = h4(op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_444])]) ).
fof(f11078,plain,
( e21 != h4(e10)
| ~ spl52_103
| spl52_444 ),
inference(superposition,[],[f10657,f1352]) ).
fof(f10657,plain,
( e21 != h4(op1(e10,e10))
| spl52_444 ),
inference(avatar_component_clause,[],[f10655]) ).
fof(f11660,plain,
( ~ spl52_471
| ~ spl52_29
| spl52_382
| ~ spl52_413 ),
inference(avatar_split_clause,[],[f11351,f8955,f7640,f1005,f11657]) ).
fof(f11351,plain,
( e20 != h4(op1(e13,e12))
| ~ spl52_29
| spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f9143,f8957]) ).
fof(f9143,plain,
( h4(op1(e13,e12)) != op2(h4(e13),e23)
| ~ spl52_29
| spl52_382 ),
inference(forward_demodulation,[],[f7642,f1007]) ).
fof(f7642,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| spl52_382 ),
inference(avatar_component_clause,[],[f7640]) ).
fof(f11640,plain,
( ~ spl52_270
| ~ spl52_118
| spl52_470 ),
inference(avatar_split_clause,[],[f11639,f11635,f1420,f2244]) ).
fof(f11639,plain,
( e21 != h3(e11)
| ~ spl52_118
| spl52_470 ),
inference(forward_demodulation,[],[f11637,f1422]) ).
fof(f11637,plain,
( e21 != h3(op1(e11,e13))
| spl52_470 ),
inference(avatar_component_clause,[],[f11635]) ).
fof(f11638,plain,
( ~ spl52_470
| ~ spl52_88
| ~ spl52_270
| ~ spl52_274
| ~ spl52_298
| spl52_391 ),
inference(avatar_split_clause,[],[f11173,f7734,f2504,f2262,f2244,f1281,f11635]) ).
fof(f11173,plain,
( e21 != h3(op1(e11,e13))
| ~ spl52_88
| ~ spl52_270
| ~ spl52_274
| ~ spl52_298
| spl52_391 ),
inference(forward_demodulation,[],[f11172,f11075]) ).
fof(f11172,plain,
( e23 != h3(op1(e11,e13))
| ~ spl52_270
| ~ spl52_298
| spl52_391 ),
inference(forward_demodulation,[],[f11064,f2506]) ).
fof(f11064,plain,
( op2(e21,e23) != h3(op1(e11,e13))
| ~ spl52_270
| spl52_391 ),
inference(forward_demodulation,[],[f7736,f2246]) ).
fof(f11631,plain,
( ~ spl52_467
| ~ spl52_270
| ~ spl52_298
| spl52_391 ),
inference(avatar_split_clause,[],[f11172,f7734,f2504,f2244,f11053]) ).
fof(f11629,plain,
( ~ spl52_462
| ~ spl52_32
| ~ spl52_270
| ~ spl52_286
| spl52_390 ),
inference(avatar_split_clause,[],[f11164,f7730,f2424,f2244,f1020,f11002]) ).
fof(f11164,plain,
( e22 != h3(op1(e11,e12))
| ~ spl52_32
| ~ spl52_270
| ~ spl52_286
| spl52_390 ),
inference(forward_demodulation,[],[f11024,f2426]) ).
fof(f11024,plain,
( op2(e21,e22) != h3(op1(e11,e12))
| ~ spl52_32
| ~ spl52_270
| spl52_390 ),
inference(forward_demodulation,[],[f11023,f2246]) ).
fof(f11023,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e22)
| ~ spl52_32
| spl52_390 ),
inference(forward_demodulation,[],[f7732,f1022]) ).
fof(f11616,plain,
( ~ spl52_102
| ~ spl52_118
| ~ spl52_301
| ~ spl52_346
| spl52_362 ),
inference(avatar_split_clause,[],[f11578,f7468,f5149,f2522,f1420,f1345]) ).
fof(f11578,plain,
( e20 != op2(e20,e22)
| ~ spl52_118
| ~ spl52_301
| ~ spl52_346
| spl52_362 ),
inference(forward_demodulation,[],[f11577,f5151]) ).
fof(f11577,plain,
( op2(e20,e22) != h4(e11)
| ~ spl52_118
| ~ spl52_301
| ~ spl52_346
| spl52_362 ),
inference(forward_demodulation,[],[f11212,f1422]) ).
fof(f11614,plain,
( ~ spl52_469
| ~ spl52_340
| spl52_453 ),
inference(avatar_split_clause,[],[f11381,f10897,f3644,f11611]) ).
fof(f11611,plain,
( spl52_469
<=> e21 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_469])]) ).
fof(f11381,plain,
( e21 != h3(e12)
| ~ spl52_340
| spl52_453 ),
inference(forward_demodulation,[],[f10898,f3646]) ).
fof(f10898,plain,
( e21 != h3(op1(e11,e11))
| spl52_453 ),
inference(avatar_component_clause,[],[f10897]) ).
fof(f11536,plain,
( spl52_5
| ~ spl52_29
| ~ spl52_445 ),
inference(avatar_split_clause,[],[f11402,f10661,f1005,f885]) ).
fof(f10661,plain,
( spl52_445
<=> e21 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_445])]) ).
fof(f11402,plain,
( e21 = e23
| ~ spl52_29
| ~ spl52_445 ),
inference(superposition,[],[f1007,f10662]) ).
fof(f10662,plain,
( e21 = h4(e12)
| ~ spl52_445 ),
inference(avatar_component_clause,[],[f10661]) ).
fof(f11508,plain,
( ~ spl52_270
| ~ spl52_329
| ~ spl52_349
| ~ spl52_350
| spl52_461 ),
inference(avatar_split_clause,[],[f11497,f10995,f6152,f5923,f3131,f2244]) ).
fof(f11497,plain,
( e21 != h3(e11)
| ~ spl52_329
| ~ spl52_349
| ~ spl52_350
| spl52_461 ),
inference(forward_demodulation,[],[f11496,f11146]) ).
fof(f11496,plain,
( e21 != h3(e13)
| ~ spl52_350
| spl52_461 ),
inference(forward_demodulation,[],[f10996,f6154]) ).
fof(f10996,plain,
( e21 != h3(op1(e10,e13))
| spl52_461 ),
inference(avatar_component_clause,[],[f10995]) ).
fof(f11479,plain,
( spl52_310
| ~ spl52_32
| ~ spl52_54
| ~ spl52_88
| ~ spl52_274
| ~ spl52_329
| ~ spl52_338
| ~ spl52_349
| ~ spl52_398 ),
inference(avatar_split_clause,[],[f11466,f7762,f5923,f3607,f3131,f2262,f1281,f1118,f1020,f2609]) ).
fof(f11466,plain,
( e20 = op2(e21,e22)
| ~ spl52_32
| ~ spl52_54
| ~ spl52_88
| ~ spl52_274
| ~ spl52_329
| ~ spl52_338
| ~ spl52_349
| ~ spl52_398 ),
inference(forward_demodulation,[],[f11465,f11075]) ).
fof(f11465,plain,
( e20 = op2(e23,e22)
| ~ spl52_32
| ~ spl52_54
| ~ spl52_329
| ~ spl52_338
| ~ spl52_349
| ~ spl52_398 ),
inference(forward_demodulation,[],[f11464,f1119]) ).
fof(f11464,plain,
( op2(e23,e22) = h3(e10)
| ~ spl52_32
| ~ spl52_329
| ~ spl52_338
| ~ spl52_349
| ~ spl52_398 ),
inference(forward_demodulation,[],[f11463,f3609]) ).
fof(f11403,plain,
( spl52_310
| ~ spl52_32
| ~ spl52_54
| ~ spl52_88
| ~ spl52_274
| ~ spl52_339
| ~ spl52_398 ),
inference(avatar_split_clause,[],[f11260,f7762,f3630,f2262,f1281,f1118,f1020,f2609]) ).
fof(f11260,plain,
( e20 = op2(e21,e22)
| ~ spl52_32
| ~ spl52_54
| ~ spl52_88
| ~ spl52_274
| ~ spl52_339
| ~ spl52_398 ),
inference(forward_demodulation,[],[f11259,f11075]) ).
fof(f11399,plain,
( spl52_445
| ~ spl52_88
| ~ spl52_274
| ~ spl52_329
| ~ spl52_340
| ~ spl52_349
| ~ spl52_458 ),
inference(avatar_split_clause,[],[f11346,f10953,f5923,f3644,f3131,f2262,f1281,f10661]) ).
fof(f11346,plain,
( e21 = h4(e12)
| ~ spl52_88
| ~ spl52_274
| ~ spl52_329
| ~ spl52_340
| ~ spl52_349
| ~ spl52_458 ),
inference(forward_demodulation,[],[f11272,f3646]) ).
fof(f11272,plain,
( e21 = h4(op1(e11,e11))
| ~ spl52_88
| ~ spl52_274
| ~ spl52_329
| ~ spl52_349
| ~ spl52_458 ),
inference(forward_demodulation,[],[f11271,f11075]) ).
fof(f11271,plain,
( e23 = h4(op1(e11,e11))
| ~ spl52_329
| ~ spl52_349
| ~ spl52_458 ),
inference(forward_demodulation,[],[f10955,f11146]) ).
fof(f11393,plain,
( spl52_1
| ~ spl52_46
| ~ spl52_166
| ~ spl52_301
| ~ spl52_339
| ~ spl52_369 ),
inference(avatar_split_clause,[],[f11237,f7496,f3630,f2522,f1668,f1082,f865]) ).
fof(f7496,plain,
( spl52_369
<=> h4(op1(e13,e12)) = op2(h4(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_369])]) ).
fof(f11237,plain,
( e20 = e21
| ~ spl52_46
| ~ spl52_166
| ~ spl52_301
| ~ spl52_339
| ~ spl52_369 ),
inference(forward_demodulation,[],[f11236,f1670]) ).
fof(f11236,plain,
( e21 = op2(e22,e23)
| ~ spl52_46
| ~ spl52_301
| ~ spl52_339
| ~ spl52_369 ),
inference(forward_demodulation,[],[f11235,f1083]) ).
fof(f11235,plain,
( op2(e22,e23) = h4(e10)
| ~ spl52_301
| ~ spl52_339
| ~ spl52_369 ),
inference(forward_demodulation,[],[f7568,f3632]) ).
fof(f7568,plain,
( op2(e22,e23) = h4(op1(e13,e12))
| ~ spl52_301
| ~ spl52_369 ),
inference(forward_demodulation,[],[f7497,f2524]) ).
fof(f7497,plain,
( h4(op1(e13,e12)) = op2(h4(e13),e23)
| ~ spl52_369 ),
inference(avatar_component_clause,[],[f7496]) ).
fof(f11371,plain,
( spl52_1
| ~ spl52_83
| ~ spl52_329
| ~ spl52_346
| ~ spl52_349
| ~ spl52_399
| ~ spl52_453 ),
inference(avatar_split_clause,[],[f11279,f10897,f7766,f5923,f5149,f3131,f1254,f865]) ).
fof(f11279,plain,
( e20 = e21
| ~ spl52_83
| ~ spl52_329
| ~ spl52_346
| ~ spl52_349
| ~ spl52_399
| ~ spl52_453 ),
inference(forward_demodulation,[],[f11278,f5151]) ).
fof(f11278,plain,
( e21 = h4(e11)
| ~ spl52_83
| ~ spl52_329
| ~ spl52_349
| ~ spl52_399
| ~ spl52_453 ),
inference(forward_demodulation,[],[f11277,f10899]) ).
fof(f10899,plain,
( e21 = h3(op1(e11,e11))
| ~ spl52_453 ),
inference(avatar_component_clause,[],[f10897]) ).
fof(f11277,plain,
( h4(e11) = h3(op1(e11,e11))
| ~ spl52_83
| ~ spl52_329
| ~ spl52_349
| ~ spl52_399 ),
inference(forward_demodulation,[],[f10752,f11146]) ).
fof(f10752,plain,
( h4(e13) = h3(op1(e13,e13))
| ~ spl52_83
| ~ spl52_399 ),
inference(forward_demodulation,[],[f7767,f1256]) ).
fof(f7767,plain,
( op2(e23,e23) = h3(op1(e13,e13))
| ~ spl52_399 ),
inference(avatar_component_clause,[],[f7766]) ).
fof(f11339,plain,
( spl52_1
| ~ spl52_29
| ~ spl52_46
| ~ spl52_166
| ~ spl52_301
| ~ spl52_339
| ~ spl52_382 ),
inference(avatar_split_clause,[],[f11231,f7640,f3630,f2522,f1668,f1082,f1005,f865]) ).
fof(f11231,plain,
( e20 = e21
| ~ spl52_29
| ~ spl52_46
| ~ spl52_166
| ~ spl52_301
| ~ spl52_339
| ~ spl52_382 ),
inference(forward_demodulation,[],[f11230,f1670]) ).
fof(f11230,plain,
( e21 = op2(e22,e23)
| ~ spl52_29
| ~ spl52_46
| ~ spl52_301
| ~ spl52_339
| ~ spl52_382 ),
inference(forward_demodulation,[],[f11229,f1083]) ).
fof(f11229,plain,
( op2(e22,e23) = h4(e10)
| ~ spl52_29
| ~ spl52_301
| ~ spl52_339
| ~ spl52_382 ),
inference(forward_demodulation,[],[f8547,f3632]) ).
fof(f8547,plain,
( op2(e22,e23) = h4(op1(e13,e12))
| ~ spl52_29
| ~ spl52_301
| ~ spl52_382 ),
inference(forward_demodulation,[],[f7689,f2524]) ).
fof(f11157,plain,
( spl52_169
| spl52_275
| spl52_338
| spl52_195 ),
inference(avatar_split_clause,[],[f394,f1824,f3607,f2268,f1687]) ).
fof(f1687,plain,
( spl52_169
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_169])]) ).
fof(f2268,plain,
( spl52_275
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_275])]) ).
fof(f1824,plain,
( spl52_195
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_195])]) ).
fof(f394,plain,
( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f11110,plain,
( spl52_2
| ~ spl52_54
| ~ spl52_103
| ~ spl52_443 ),
inference(avatar_split_clause,[],[f11082,f10647,f1350,f1118,f870]) ).
fof(f10647,plain,
( spl52_443
<=> e22 = h3(op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_443])]) ).
fof(f11082,plain,
( e20 = e22
| ~ spl52_54
| ~ spl52_103
| ~ spl52_443 ),
inference(forward_demodulation,[],[f11079,f1119]) ).
fof(f11079,plain,
( e22 = h3(e10)
| ~ spl52_103
| ~ spl52_443 ),
inference(superposition,[],[f10648,f1352]) ).
fof(f10648,plain,
( e22 = h3(op1(e10,e10))
| ~ spl52_443 ),
inference(avatar_component_clause,[],[f10647]) ).
fof(f11073,plain,
( spl52_449
| ~ spl52_54
| ~ spl52_270
| ~ spl52_324
| ~ spl52_385 ),
inference(avatar_split_clause,[],[f10785,f7710,f3087,f2244,f1118,f10683]) ).
fof(f10785,plain,
( e23 = h3(op1(e10,e11))
| ~ spl52_54
| ~ spl52_270
| ~ spl52_324
| ~ spl52_385 ),
inference(forward_demodulation,[],[f9476,f3089]) ).
fof(f9476,plain,
( op2(e20,e21) = h3(op1(e10,e11))
| ~ spl52_54
| ~ spl52_270
| ~ spl52_385 ),
inference(forward_demodulation,[],[f7952,f1119]) ).
fof(f7952,plain,
( h3(op1(e10,e11)) = op2(h3(e10),e21)
| ~ spl52_270
| ~ spl52_385 ),
inference(forward_demodulation,[],[f7711,f2246]) ).
fof(f7711,plain,
( h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
| ~ spl52_385 ),
inference(avatar_component_clause,[],[f7710]) ).
fof(f11071,plain,
( ~ spl52_468
| ~ spl52_46
| ~ spl52_254
| spl52_376 ),
inference(avatar_split_clause,[],[f10778,f7616,f2133,f1082,f11068]) ).
fof(f11068,plain,
( spl52_468
<=> e21 = h4(op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_468])]) ).
fof(f2133,plain,
( spl52_254
<=> h4(e10) = op2(e23,h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_254])]) ).
fof(f7616,plain,
( spl52_376
<=> h4(op1(e11,e13)) = op2(e23,h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_376])]) ).
fof(f10778,plain,
( e21 != h4(op1(e11,e13))
| ~ spl52_46
| ~ spl52_254
| spl52_376 ),
inference(forward_demodulation,[],[f7671,f1083]) ).
fof(f7671,plain,
( h4(e10) != h4(op1(e11,e13))
| ~ spl52_254
| spl52_376 ),
inference(forward_demodulation,[],[f7618,f2135]) ).
fof(f2135,plain,
( h4(e10) = op2(e23,h4(e13))
| ~ spl52_254 ),
inference(avatar_component_clause,[],[f2133]) ).
fof(f7618,plain,
( h4(op1(e11,e13)) != op2(e23,h4(e13))
| spl52_376 ),
inference(avatar_component_clause,[],[f7616]) ).
fof(f11058,plain,
( spl52_451
| ~ spl52_289
| ~ spl52_467 ),
inference(avatar_split_clause,[],[f11057,f11053,f2443,f10871]) ).
fof(f11057,plain,
( e23 = h3(e12)
| ~ spl52_289
| ~ spl52_467 ),
inference(forward_demodulation,[],[f11055,f2445]) ).
fof(f11056,plain,
( spl52_467
| ~ spl52_270
| ~ spl52_298
| ~ spl52_391 ),
inference(avatar_split_clause,[],[f10776,f7734,f2504,f2244,f11053]) ).
fof(f10776,plain,
( e23 = h3(op1(e11,e13))
| ~ spl52_270
| ~ spl52_298
| ~ spl52_391 ),
inference(forward_demodulation,[],[f9418,f2506]) ).
fof(f9418,plain,
( op2(e21,e23) = h3(op1(e11,e13))
| ~ spl52_270
| ~ spl52_391 ),
inference(forward_demodulation,[],[f7735,f2246]) ).
fof(f7735,plain,
( h3(op1(e11,e13)) = op2(h3(e11),e23)
| ~ spl52_391 ),
inference(avatar_component_clause,[],[f7734]) ).
fof(f11050,plain,
( ~ spl52_466
| ~ spl52_289
| spl52_465 ),
inference(avatar_split_clause,[],[f11045,f11041,f2443,f11047]) ).
fof(f11047,plain,
( spl52_466
<=> e20 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_466])]) ).
fof(f11045,plain,
( e20 != h4(e12)
| ~ spl52_289
| spl52_465 ),
inference(forward_demodulation,[],[f11043,f2445]) ).
fof(f11044,plain,
( ~ spl52_465
| ~ spl52_29
| ~ spl52_102
| ~ spl52_301
| ~ spl52_354
| spl52_362
| ~ spl52_382
| ~ spl52_413 ),
inference(avatar_split_clause,[],[f10773,f8955,f7640,f7468,f6638,f2522,f1345,f1005,f11041]) ).
fof(f10773,plain,
( e20 != h4(op1(e11,e13))
| ~ spl52_29
| ~ spl52_102
| ~ spl52_301
| ~ spl52_354
| spl52_362
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f10184,f1347]) ).
fof(f10184,plain,
( op2(e20,e22) != h4(op1(e11,e13))
| ~ spl52_29
| ~ spl52_301
| ~ spl52_354
| spl52_362
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f10093,f9490]) ).
fof(f10093,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e22)
| ~ spl52_301
| spl52_362 ),
inference(forward_demodulation,[],[f7470,f2524]) ).
fof(f11037,plain,
( ~ spl52_464
| ~ spl52_29
| ~ spl52_83
| ~ spl52_301
| spl52_375 ),
inference(avatar_split_clause,[],[f10769,f7612,f2522,f1254,f1005,f11034]) ).
fof(f11034,plain,
( spl52_464
<=> e22 = h4(op1(e11,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_464])]) ).
fof(f7612,plain,
( spl52_375
<=> h4(op1(e11,e12)) = op2(e23,h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_375])]) ).
fof(f10769,plain,
( e22 != h4(op1(e11,e12))
| ~ spl52_29
| ~ spl52_83
| ~ spl52_301
| spl52_375 ),
inference(forward_demodulation,[],[f10768,f2524]) ).
fof(f10768,plain,
( h4(e13) != h4(op1(e11,e12))
| ~ spl52_29
| ~ spl52_83
| spl52_375 ),
inference(forward_demodulation,[],[f9501,f1256]) ).
fof(f9501,plain,
( op2(e23,e23) != h4(op1(e11,e12))
| ~ spl52_29
| spl52_375 ),
inference(forward_demodulation,[],[f7614,f1007]) ).
fof(f7614,plain,
( h4(op1(e11,e12)) != op2(e23,h4(e12))
| spl52_375 ),
inference(avatar_component_clause,[],[f7612]) ).
fof(f11031,plain,
( ~ spl52_463
| ~ spl52_29
| ~ spl52_304
| ~ spl52_354
| spl52_361
| ~ spl52_382
| ~ spl52_413 ),
inference(avatar_split_clause,[],[f10766,f8955,f7640,f7464,f6638,f2552,f1005,f11028]) ).
fof(f10766,plain,
( e21 != h4(op1(e11,e12))
| ~ spl52_29
| ~ spl52_304
| ~ spl52_354
| spl52_361
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f10033,f2554]) ).
fof(f10033,plain,
( op2(e20,e23) != h4(op1(e11,e12))
| ~ spl52_29
| ~ spl52_354
| spl52_361
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f7466,f9490]) ).
fof(f11008,plain,
( spl52_4
| ~ spl52_120
| ~ spl52_270
| ~ spl52_462 ),
inference(avatar_split_clause,[],[f11007,f11002,f2244,f1429,f880]) ).
fof(f880,plain,
( spl52_4
<=> e21 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_4])]) ).
fof(f1429,plain,
( spl52_120
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_120])]) ).
fof(f11007,plain,
( e21 = e22
| ~ spl52_120
| ~ spl52_270
| ~ spl52_462 ),
inference(forward_demodulation,[],[f11006,f2246]) ).
fof(f11006,plain,
( e22 = h3(e11)
| ~ spl52_120
| ~ spl52_462 ),
inference(forward_demodulation,[],[f11004,f1431]) ).
fof(f1431,plain,
( e11 = op1(e11,e12)
| ~ spl52_120 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f11005,plain,
( spl52_462
| ~ spl52_32
| ~ spl52_270
| ~ spl52_286
| ~ spl52_390 ),
inference(avatar_split_clause,[],[f10764,f7730,f2424,f2244,f1020,f11002]) ).
fof(f10764,plain,
( e22 = h3(op1(e11,e12))
| ~ spl52_32
| ~ spl52_270
| ~ spl52_286
| ~ spl52_390 ),
inference(forward_demodulation,[],[f10194,f2426]) ).
fof(f10194,plain,
( op2(e21,e22) = h3(op1(e11,e12))
| ~ spl52_32
| ~ spl52_270
| ~ spl52_390 ),
inference(forward_demodulation,[],[f9430,f2246]) ).
fof(f9430,plain,
( h3(op1(e11,e12)) = op2(h3(e11),e22)
| ~ spl52_32
| ~ spl52_390 ),
inference(forward_demodulation,[],[f7731,f1022]) ).
fof(f7731,plain,
( h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
| ~ spl52_390 ),
inference(avatar_component_clause,[],[f7730]) ).
fof(f11000,plain,
( spl52_274
| ~ spl52_350
| ~ spl52_461 ),
inference(avatar_split_clause,[],[f10999,f10995,f6152,f2262]) ).
fof(f10999,plain,
( e21 = h3(e13)
| ~ spl52_350
| ~ spl52_461 ),
inference(forward_demodulation,[],[f10997,f6154]) ).
fof(f10998,plain,
( spl52_461
| ~ spl52_54
| ~ spl52_304
| ~ spl52_387 ),
inference(avatar_split_clause,[],[f10759,f7718,f2552,f1118,f10995]) ).
fof(f10759,plain,
( e21 = h3(op1(e10,e13))
| ~ spl52_54
| ~ spl52_304
| ~ spl52_387 ),
inference(forward_demodulation,[],[f9453,f2554]) ).
fof(f9453,plain,
( op2(e20,e23) = h3(op1(e10,e13))
| ~ spl52_54
| ~ spl52_387 ),
inference(forward_demodulation,[],[f7719,f1119]) ).
fof(f10983,plain,
( ~ spl52_301
| ~ spl52_350
| spl52_460 ),
inference(avatar_split_clause,[],[f10982,f10978,f6152,f2522]) ).
fof(f10982,plain,
( e22 != h4(e13)
| ~ spl52_350
| spl52_460 ),
inference(forward_demodulation,[],[f10980,f6154]) ).
fof(f10980,plain,
( e22 != h4(op1(e10,e13))
| spl52_460 ),
inference(avatar_component_clause,[],[f10978]) ).
fof(f10981,plain,
( ~ spl52_460
| ~ spl52_46
| ~ spl52_286
| ~ spl52_301
| spl52_358 ),
inference(avatar_split_clause,[],[f10755,f7452,f2522,f2424,f1082,f10978]) ).
fof(f10755,plain,
( e22 != h4(op1(e10,e13))
| ~ spl52_46
| ~ spl52_286
| ~ spl52_301
| spl52_358 ),
inference(forward_demodulation,[],[f10230,f2426]) ).
fof(f10230,plain,
( op2(e21,e22) != h4(op1(e10,e13))
| ~ spl52_46
| ~ spl52_301
| spl52_358 ),
inference(forward_demodulation,[],[f8412,f1083]) ).
fof(f8412,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e22)
| ~ spl52_301
| spl52_358 ),
inference(forward_demodulation,[],[f7454,f2524]) ).
fof(f10972,plain,
( spl52_4
| ~ spl52_270
| ~ spl52_292
| ~ spl52_459 ),
inference(avatar_split_clause,[],[f10971,f10966,f2461,f2244,f880]) ).
fof(f10971,plain,
( e21 = e22
| ~ spl52_270
| ~ spl52_292
| ~ spl52_459 ),
inference(forward_demodulation,[],[f10970,f2246]) ).
fof(f10970,plain,
( e22 = h3(e11)
| ~ spl52_292
| ~ spl52_459 ),
inference(forward_demodulation,[],[f10968,f2463]) ).
fof(f10969,plain,
( spl52_459
| ~ spl52_83
| ~ spl52_301
| ~ spl52_399 ),
inference(avatar_split_clause,[],[f10753,f7766,f2522,f1254,f10966]) ).
fof(f10753,plain,
( e22 = h3(op1(e13,e13))
| ~ spl52_83
| ~ spl52_301
| ~ spl52_399 ),
inference(forward_demodulation,[],[f10752,f2524]) ).
fof(f10959,plain,
( spl52_3
| ~ spl52_292
| ~ spl52_346
| ~ spl52_458 ),
inference(avatar_split_clause,[],[f10958,f10953,f5149,f2461,f875]) ).
fof(f875,plain,
( spl52_3
<=> e20 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_3])]) ).
fof(f10958,plain,
( e20 = e23
| ~ spl52_292
| ~ spl52_346
| ~ spl52_458 ),
inference(forward_demodulation,[],[f10957,f5151]) ).
fof(f10957,plain,
( e23 = h4(e11)
| ~ spl52_292
| ~ spl52_458 ),
inference(forward_demodulation,[],[f10955,f2463]) ).
fof(f10956,plain,
( spl52_458
| ~ spl52_67
| ~ spl52_301
| ~ spl52_370 ),
inference(avatar_split_clause,[],[f10751,f7500,f2522,f1177,f10953]) ).
fof(f10751,plain,
( e23 = h4(op1(e13,e13))
| ~ spl52_67
| ~ spl52_301
| ~ spl52_370 ),
inference(forward_demodulation,[],[f7564,f1179]) ).
fof(f10927,plain,
( spl52_3
| ~ spl52_88
| ~ spl52_456 ),
inference(avatar_split_clause,[],[f10918,f10914,f1281,f875]) ).
fof(f10914,plain,
( spl52_456
<=> e20 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_456])]) ).
fof(f10918,plain,
( e20 = e23
| ~ spl52_88
| ~ spl52_456 ),
inference(superposition,[],[f10916,f1283]) ).
fof(f10916,plain,
( e20 = h3(e13)
| ~ spl52_456 ),
inference(avatar_component_clause,[],[f10914]) ).
fof(f10925,plain,
( ~ spl52_457
| ~ spl52_264
| ~ spl52_346
| spl52_373 ),
inference(avatar_split_clause,[],[f10744,f7604,f5149,f2207,f10922]) ).
fof(f10922,plain,
( spl52_457
<=> e20 = h4(op1(e11,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_457])]) ).
fof(f2207,plain,
( spl52_264
<=> h4(e11) = op2(e23,h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_264])]) ).
fof(f7604,plain,
( spl52_373
<=> h4(op1(e11,e10)) = op2(e23,h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_373])]) ).
fof(f10744,plain,
( e20 != h4(op1(e11,e10))
| ~ spl52_264
| ~ spl52_346
| spl52_373 ),
inference(forward_demodulation,[],[f7679,f5151]) ).
fof(f7679,plain,
( h4(e11) != h4(op1(e11,e10))
| ~ spl52_264
| spl52_373 ),
inference(forward_demodulation,[],[f7606,f2209]) ).
fof(f2209,plain,
( h4(e11) = op2(e23,h4(e10))
| ~ spl52_264 ),
inference(avatar_component_clause,[],[f2207]) ).
fof(f7606,plain,
( h4(op1(e11,e10)) != op2(e23,h4(e10))
| spl52_373 ),
inference(avatar_component_clause,[],[f7604]) ).
fof(f10917,plain,
( spl52_456
| ~ spl52_348
| ~ spl52_455 ),
inference(avatar_split_clause,[],[f10912,f10908,f5900,f10914]) ).
fof(f10912,plain,
( e20 = h3(e13)
| ~ spl52_348
| ~ spl52_455 ),
inference(forward_demodulation,[],[f10910,f5902]) ).
fof(f10910,plain,
( e20 = h3(op1(e11,e10))
| ~ spl52_455 ),
inference(avatar_component_clause,[],[f10908]) ).
fof(f10911,plain,
( spl52_455
| ~ spl52_54
| ~ spl52_270
| ~ spl52_312
| ~ spl52_388 ),
inference(avatar_split_clause,[],[f10741,f7722,f2619,f2244,f1118,f10908]) ).
fof(f10905,plain,
( ~ spl52_454
| ~ spl52_29
| ~ spl52_166
| ~ spl52_260
| ~ spl52_301
| ~ spl52_324
| ~ spl52_342
| ~ spl52_354
| spl52_359
| ~ spl52_368
| ~ spl52_382 ),
inference(avatar_split_clause,[],[f10728,f7640,f7492,f7456,f6638,f3978,f3087,f2522,f2180,f1668,f1005,f10902]) ).
fof(f10728,plain,
( e23 != h4(op1(e11,e10))
| ~ spl52_29
| ~ spl52_166
| ~ spl52_260
| ~ spl52_301
| ~ spl52_324
| ~ spl52_342
| ~ spl52_354
| spl52_359
| ~ spl52_368
| ~ spl52_382 ),
inference(forward_demodulation,[],[f8442,f3089]) ).
fof(f8442,plain,
( op2(e20,e21) != h4(op1(e11,e10))
| ~ spl52_29
| ~ spl52_166
| ~ spl52_260
| ~ spl52_301
| ~ spl52_342
| ~ spl52_354
| spl52_359
| ~ spl52_368
| ~ spl52_382 ),
inference(forward_demodulation,[],[f8441,f8426]) ).
fof(f8441,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e21)
| ~ spl52_29
| ~ spl52_166
| ~ spl52_260
| ~ spl52_301
| ~ spl52_342
| ~ spl52_354
| spl52_359
| ~ spl52_368
| ~ spl52_382 ),
inference(forward_demodulation,[],[f7458,f8436]) ).
fof(f10900,plain,
( spl52_453
| ~ spl52_70
| ~ spl52_85
| ~ spl52_270
| ~ spl52_389 ),
inference(avatar_split_clause,[],[f10722,f7726,f2244,f1264,f1192,f10897]) ).
fof(f10722,plain,
( e21 = h3(op1(e11,e11))
| ~ spl52_70
| ~ spl52_85
| ~ spl52_270
| ~ spl52_389 ),
inference(forward_demodulation,[],[f10721,f1194]) ).
fof(f10895,plain,
( ~ spl52_452
| ~ spl52_29
| ~ spl52_84
| ~ spl52_345
| ~ spl52_354
| spl52_360
| ~ spl52_382
| ~ spl52_413 ),
inference(avatar_split_clause,[],[f10717,f8955,f7640,f7460,f6638,f5052,f1259,f1005,f10892]) ).
fof(f10717,plain,
( e22 != h4(op1(e11,e11))
| ~ spl52_29
| ~ spl52_84
| ~ spl52_345
| ~ spl52_354
| spl52_360
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f10716,f5054]) ).
fof(f10876,plain,
( ~ spl52_273
| ~ spl52_46
| ~ spl52_301
| spl52_367
| ~ spl52_450 ),
inference(avatar_split_clause,[],[f10800,f10690,f7488,f2522,f1082,f2258]) ).
fof(f2258,plain,
( spl52_273
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_273])]) ).
fof(f10800,plain,
( e22 != op2(e22,e21)
| ~ spl52_46
| ~ spl52_301
| spl52_367
| ~ spl52_450 ),
inference(forward_demodulation,[],[f10287,f10692]) ).
fof(f10287,plain,
( op2(e22,e21) != h4(op1(e13,e10))
| ~ spl52_46
| ~ spl52_301
| spl52_367 ),
inference(forward_demodulation,[],[f10286,f2524]) ).
fof(f10286,plain,
( h4(op1(e13,e10)) != op2(h4(e13),e21)
| ~ spl52_46
| spl52_367 ),
inference(forward_demodulation,[],[f7490,f1083]) ).
fof(f7490,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| spl52_367 ),
inference(avatar_component_clause,[],[f7488]) ).
fof(f10874,plain,
( ~ spl52_451
| ~ spl52_335
| spl52_448 ),
inference(avatar_split_clause,[],[f10869,f10677,f3492,f10871]) ).
fof(f10677,plain,
( spl52_448
<=> e23 = h3(op1(e13,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_448])]) ).
fof(f10869,plain,
( e23 != h3(e12)
| ~ spl52_335
| spl52_448 ),
inference(forward_demodulation,[],[f10678,f3494]) ).
fof(f10678,plain,
( e23 != h3(op1(e13,e10))
| spl52_448 ),
inference(avatar_component_clause,[],[f10677]) ).
fof(f10853,plain,
( ~ spl52_277
| spl52_435
| ~ spl52_448 ),
inference(avatar_split_clause,[],[f10779,f10677,f10312,f2295]) ).
fof(f10312,plain,
( spl52_435
<=> op2(e23,e20) = h3(op1(e13,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_435])]) ).
fof(f10779,plain,
( e23 != op2(e23,e20)
| spl52_435
| ~ spl52_448 ),
inference(forward_demodulation,[],[f10313,f10679]) ).
fof(f10679,plain,
( e23 = h3(op1(e13,e10))
| ~ spl52_448 ),
inference(avatar_component_clause,[],[f10677]) ).
fof(f10313,plain,
( op2(e23,e20) != h3(op1(e13,e10))
| spl52_435 ),
inference(avatar_component_clause,[],[f10312]) ).
fof(f10711,plain,
( spl52_349
| spl52_185
| spl52_28
| spl52_27
| ~ spl52_291
| ~ spl52_333 ),
inference(avatar_split_clause,[],[f7320,f3484,f2457,f995,f1000,f1770,f5923]) ).
fof(f1770,plain,
( spl52_185
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_185])]) ).
fof(f2457,plain,
( spl52_291
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_291])]) ).
fof(f3484,plain,
( spl52_333
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_333])]) ).
fof(f7320,plain,
( e11 = e13
| e12 = e13
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| ~ spl52_291
| ~ spl52_333 ),
inference(forward_demodulation,[],[f7054,f2459]) ).
fof(f2459,plain,
( e11 = op1(e10,e13)
| ~ spl52_291 ),
inference(avatar_component_clause,[],[f2457]) ).
fof(f7054,plain,
( e12 = e13
| e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| ~ spl52_333 ),
inference(forward_demodulation,[],[f392,f3486]) ).
fof(f3486,plain,
( op1(e10,e10) = e12
| ~ spl52_333 ),
inference(avatar_component_clause,[],[f3484]) ).
fof(f392,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f10702,plain,
( ~ spl52_77
| ~ spl52_84
| spl52_323 ),
inference(avatar_split_clause,[],[f5034,f3041,f1259,f1224]) ).
fof(f5034,plain,
( e20 != h1(e13)
| ~ spl52_84
| spl52_323 ),
inference(superposition,[],[f3043,f1261]) ).
fof(f3043,plain,
( e20 != op2(e20,e20)
| spl52_323 ),
inference(avatar_component_clause,[],[f3041]) ).
fof(f10693,plain,
( spl52_450
| ~ spl52_46
| ~ spl52_273
| ~ spl52_301
| ~ spl52_367 ),
inference(avatar_split_clause,[],[f10591,f7488,f2522,f2258,f1082,f10690]) ).
fof(f10591,plain,
( e22 = h4(op1(e13,e10))
| ~ spl52_46
| ~ spl52_273
| ~ spl52_301
| ~ spl52_367 ),
inference(forward_demodulation,[],[f10155,f2260]) ).
fof(f2260,plain,
( e22 = op2(e22,e21)
| ~ spl52_273 ),
inference(avatar_component_clause,[],[f2258]) ).
fof(f10155,plain,
( op2(e22,e21) = h4(op1(e13,e10))
| ~ spl52_46
| ~ spl52_301
| ~ spl52_367 ),
inference(forward_demodulation,[],[f8485,f1083]) ).
fof(f8485,plain,
( h4(op1(e13,e10)) = op2(e22,h4(e10))
| ~ spl52_301
| ~ spl52_367 ),
inference(forward_demodulation,[],[f7489,f2524]) ).
fof(f10687,plain,
( spl52_443
| ~ spl52_54
| ~ spl52_84
| ~ spl52_345
| ~ spl52_384 ),
inference(avatar_split_clause,[],[f10588,f7706,f5052,f1259,f1118,f10647]) ).
fof(f10588,plain,
( e22 = h3(op1(e10,e10))
| ~ spl52_54
| ~ spl52_84
| ~ spl52_345
| ~ spl52_384 ),
inference(forward_demodulation,[],[f10587,f5054]) ).
fof(f10686,plain,
( ~ spl52_449
| ~ spl52_54
| ~ spl52_270
| ~ spl52_324
| spl52_385 ),
inference(avatar_split_clause,[],[f10572,f7710,f3087,f2244,f1118,f10683]) ).
fof(f10572,plain,
( e23 != h3(op1(e10,e11))
| ~ spl52_54
| ~ spl52_270
| ~ spl52_324
| spl52_385 ),
inference(forward_demodulation,[],[f7975,f3089]) ).
fof(f7975,plain,
( op2(e20,e21) != h3(op1(e10,e11))
| ~ spl52_54
| ~ spl52_270
| spl52_385 ),
inference(forward_demodulation,[],[f7974,f1119]) ).
fof(f7974,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e21)
| ~ spl52_270
| spl52_385 ),
inference(forward_demodulation,[],[f7712,f2246]) ).
fof(f10680,plain,
( spl52_448
| ~ spl52_277
| ~ spl52_435 ),
inference(avatar_split_clause,[],[f10568,f10312,f2295,f10677]) ).
fof(f10568,plain,
( e23 = h3(op1(e13,e10))
| ~ spl52_277
| ~ spl52_435 ),
inference(forward_demodulation,[],[f10314,f2297]) ).
fof(f10314,plain,
( op2(e23,e20) = h3(op1(e13,e10))
| ~ spl52_435 ),
inference(avatar_component_clause,[],[f10312]) ).
fof(f10675,plain,
( ~ spl52_447
| ~ spl52_46
| ~ spl52_298
| spl52_371 ),
inference(avatar_split_clause,[],[f10558,f7596,f2504,f1082,f10672]) ).
fof(f10672,plain,
( spl52_447
<=> e23 = h4(op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_447])]) ).
fof(f7596,plain,
( spl52_371
<=> h4(op1(e10,e11)) = op2(h4(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_371])]) ).
fof(f10558,plain,
( e23 != h4(op1(e10,e11))
| ~ spl52_46
| ~ spl52_298
| spl52_371 ),
inference(forward_demodulation,[],[f7686,f2506]) ).
fof(f7686,plain,
( op2(e21,e23) != h4(op1(e10,e11))
| ~ spl52_46
| spl52_371 ),
inference(forward_demodulation,[],[f7598,f1083]) ).
fof(f7598,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e23)
| spl52_371 ),
inference(avatar_component_clause,[],[f7596]) ).
fof(f10670,plain,
( ~ spl52_446
| ~ spl52_29
| ~ spl52_46
| ~ spl52_166
| ~ spl52_301
| ~ spl52_312
| ~ spl52_354
| spl52_356
| ~ spl52_382 ),
inference(avatar_split_clause,[],[f10556,f7640,f7444,f6638,f2619,f2522,f1668,f1082,f1005,f10667]) ).
fof(f10556,plain,
( e20 != h4(op1(e10,e11))
| ~ spl52_29
| ~ spl52_46
| ~ spl52_166
| ~ spl52_301
| ~ spl52_312
| ~ spl52_354
| spl52_356
| ~ spl52_382 ),
inference(forward_demodulation,[],[f9903,f2620]) ).
fof(f9903,plain,
( op2(e21,e20) != h4(op1(e10,e11))
| ~ spl52_29
| ~ spl52_46
| ~ spl52_166
| ~ spl52_301
| ~ spl52_354
| spl52_356
| ~ spl52_382 ),
inference(forward_demodulation,[],[f8582,f1083]) ).
fof(f8582,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e20)
| ~ spl52_29
| ~ spl52_166
| ~ spl52_301
| ~ spl52_354
| spl52_356
| ~ spl52_382 ),
inference(forward_demodulation,[],[f7446,f8426]) ).
fof(f10664,plain,
( ~ spl52_445
| ~ spl52_333
| spl52_444 ),
inference(avatar_split_clause,[],[f10659,f10655,f3484,f10661]) ).
fof(f10659,plain,
( e21 != h4(e12)
| ~ spl52_333
| spl52_444 ),
inference(forward_demodulation,[],[f10657,f3486]) ).
fof(f10658,plain,
( ~ spl52_444
| ~ spl52_46
| ~ spl52_70
| ~ spl52_85
| spl52_355 ),
inference(avatar_split_clause,[],[f10553,f7440,f1264,f1192,f1082,f10655]) ).
fof(f10553,plain,
( e21 != h4(op1(e10,e10))
| ~ spl52_46
| ~ spl52_70
| ~ spl52_85
| spl52_355 ),
inference(forward_demodulation,[],[f10552,f1194]) ).
fof(f10652,plain,
( ~ spl52_32
| ~ spl52_333
| spl52_443 ),
inference(avatar_split_clause,[],[f10651,f10647,f3484,f1020]) ).
fof(f10651,plain,
( e22 != h3(e12)
| ~ spl52_333
| spl52_443 ),
inference(forward_demodulation,[],[f10649,f3486]) ).
fof(f10649,plain,
( e22 != h3(op1(e10,e10))
| spl52_443 ),
inference(avatar_component_clause,[],[f10647]) ).
fof(f10650,plain,
( ~ spl52_443
| ~ spl52_345
| spl52_434 ),
inference(avatar_split_clause,[],[f10551,f10302,f5052,f10647]) ).
fof(f10551,plain,
( e22 != h3(op1(e10,e10))
| ~ spl52_345
| spl52_434 ),
inference(forward_demodulation,[],[f10304,f5054]) ).
fof(f10645,plain,
( ~ spl52_442
| ~ spl52_46
| ~ spl52_298
| spl52_357 ),
inference(avatar_split_clause,[],[f10538,f7448,f2504,f1082,f10642]) ).
fof(f10538,plain,
( e23 != h4(op1(e10,e12))
| ~ spl52_46
| ~ spl52_298
| spl52_357 ),
inference(forward_demodulation,[],[f7550,f2506]) ).
fof(f7550,plain,
( op2(e21,e23) != h4(op1(e10,e12))
| ~ spl52_46
| spl52_357 ),
inference(forward_demodulation,[],[f7450,f1083]) ).
fof(f10640,plain,
( spl52_441
| ~ spl52_32
| ~ spl52_54
| ~ spl52_102
| ~ spl52_386 ),
inference(avatar_split_clause,[],[f10536,f7714,f1345,f1118,f1020,f10637]) ).
fof(f10536,plain,
( e20 = h3(op1(e10,e12))
| ~ spl52_32
| ~ spl52_54
| ~ spl52_102
| ~ spl52_386 ),
inference(forward_demodulation,[],[f10200,f1347]) ).
fof(f10200,plain,
( op2(e20,e22) = h3(op1(e10,e12))
| ~ spl52_32
| ~ spl52_54
| ~ spl52_386 ),
inference(forward_demodulation,[],[f9464,f1119]) ).
fof(f9464,plain,
( h3(op1(e10,e12)) = op2(h3(e10),e22)
| ~ spl52_32
| ~ spl52_386 ),
inference(forward_demodulation,[],[f7715,f1022]) ).
fof(f10535,plain,
( spl52_26
| spl52_24
| spl52_28
| ~ spl52_127
| ~ spl52_129
| ~ spl52_291
| ~ spl52_336 ),
inference(avatar_split_clause,[],[f7298,f3551,f2457,f1470,f1461,f1000,f980,f990]) ).
fof(f1461,plain,
( spl52_127
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_127])]) ).
fof(f3551,plain,
( spl52_336
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_336])]) ).
fof(f7298,plain,
( e12 = e13
| e10 = e12
| e11 = e12
| ~ spl52_127
| ~ spl52_129
| ~ spl52_291
| ~ spl52_336 ),
inference(forward_demodulation,[],[f7297,f3553]) ).
fof(f3553,plain,
( op1(e10,e10) = e13
| ~ spl52_336 ),
inference(avatar_component_clause,[],[f3551]) ).
fof(f7297,plain,
( e10 = e12
| e11 = e12
| op1(e10,e10) = e12
| ~ spl52_127
| ~ spl52_129
| ~ spl52_291 ),
inference(duplicate_literal_removal,[],[f7296]) ).
fof(f7296,plain,
( e10 = e12
| e11 = e12
| e10 = e12
| op1(e10,e10) = e12
| ~ spl52_127
| ~ spl52_129
| ~ spl52_291 ),
inference(forward_demodulation,[],[f7295,f1463]) ).
fof(f1463,plain,
( e10 = op1(e10,e12)
| ~ spl52_127 ),
inference(avatar_component_clause,[],[f1461]) ).
fof(f7295,plain,
( e11 = e12
| e10 = e12
| e12 = op1(e10,e12)
| op1(e10,e10) = e12
| ~ spl52_129
| ~ spl52_291 ),
inference(forward_demodulation,[],[f5786,f2459]) ).
fof(f5786,plain,
( e10 = e12
| e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| op1(e10,e10) = e12
| ~ spl52_129 ),
inference(forward_demodulation,[],[f390,f1472]) ).
fof(f1472,plain,
( e10 = op1(e10,e11)
| ~ spl52_129 ),
inference(avatar_component_clause,[],[f1470]) ).
fof(f10527,plain,
( ~ spl52_273
| ~ spl52_46
| ~ spl52_301
| spl52_424 ),
inference(avatar_split_clause,[],[f10369,f9111,f2522,f1082,f2258]) ).
fof(f9111,plain,
( spl52_424
<=> h4(e13) = op2(h4(e13),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_424])]) ).
fof(f10369,plain,
( e22 != op2(e22,e21)
| ~ spl52_46
| ~ spl52_301
| spl52_424 ),
inference(forward_demodulation,[],[f10359,f2524]) ).
fof(f10359,plain,
( h4(e13) != op2(h4(e13),e21)
| ~ spl52_46
| spl52_424 ),
inference(superposition,[],[f9113,f1083]) ).
fof(f9113,plain,
( h4(e13) != op2(h4(e13),h4(e10))
| spl52_424 ),
inference(avatar_component_clause,[],[f9111]) ).
fof(f10526,plain,
( spl52_440
| ~ spl52_270
| ~ spl52_308
| ~ spl52_397 ),
inference(avatar_split_clause,[],[f10493,f7758,f2597,f2244,f10523]) ).
fof(f10523,plain,
( spl52_440
<=> e20 = h3(op1(e13,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_440])]) ).
fof(f7758,plain,
( spl52_397
<=> h3(op1(e13,e11)) = op2(e23,h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_397])]) ).
fof(f10493,plain,
( e20 = h3(op1(e13,e11))
| ~ spl52_270
| ~ spl52_308
| ~ spl52_397 ),
inference(forward_demodulation,[],[f8889,f2599]) ).
fof(f8889,plain,
( op2(e23,e21) = h3(op1(e13,e11))
| ~ spl52_270
| ~ spl52_397 ),
inference(forward_demodulation,[],[f7759,f2246]) ).
fof(f7759,plain,
( h3(op1(e13,e11)) = op2(e23,h3(e11))
| ~ spl52_397 ),
inference(avatar_component_clause,[],[f7758]) ).
fof(f10521,plain,
( spl52_439
| ~ spl52_260
| ~ spl52_301
| ~ spl52_346
| ~ spl52_368 ),
inference(avatar_split_clause,[],[f10478,f7492,f5149,f2522,f2180,f10518]) ).
fof(f10518,plain,
( spl52_439
<=> e21 = h4(op1(e13,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_439])]) ).
fof(f10478,plain,
( e21 = h4(op1(e13,e11))
| ~ spl52_260
| ~ spl52_301
| ~ spl52_346
| ~ spl52_368 ),
inference(forward_demodulation,[],[f7573,f2182]) ).
fof(f7573,plain,
( op2(e22,e20) = h4(op1(e13,e11))
| ~ spl52_301
| ~ spl52_346
| ~ spl52_368 ),
inference(forward_demodulation,[],[f7572,f2524]) ).
fof(f7572,plain,
( h4(op1(e13,e11)) = op2(h4(e13),e20)
| ~ spl52_346
| ~ spl52_368 ),
inference(forward_demodulation,[],[f7493,f5151]) ).
fof(f10516,plain,
( ~ spl52_438
| ~ spl52_29
| ~ spl52_346
| ~ spl52_354
| spl52_381
| ~ spl52_382 ),
inference(avatar_split_clause,[],[f8857,f7640,f7636,f6638,f5149,f1005,f10513]) ).
fof(f10513,plain,
( spl52_438
<=> e20 = h4(op1(e13,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_438])]) ).
fof(f7636,plain,
( spl52_381
<=> h4(op1(e13,e11)) = op2(h4(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_381])]) ).
fof(f8857,plain,
( e20 != h4(op1(e13,e11))
| ~ spl52_29
| ~ spl52_346
| ~ spl52_354
| spl52_381
| ~ spl52_382 ),
inference(forward_demodulation,[],[f7638,f8841]) ).
fof(f8841,plain,
( e20 = op2(h4(e13),e23)
| ~ spl52_29
| ~ spl52_346
| ~ spl52_354
| ~ spl52_382 ),
inference(forward_demodulation,[],[f8840,f5151]) ).
fof(f8840,plain,
( h4(e11) = op2(h4(e13),e23)
| ~ spl52_29
| ~ spl52_354
| ~ spl52_382 ),
inference(forward_demodulation,[],[f8550,f6640]) ).
fof(f8550,plain,
( h4(op1(e13,e12)) = op2(h4(e13),e23)
| ~ spl52_29
| ~ spl52_382 ),
inference(forward_demodulation,[],[f7641,f1007]) ).
fof(f7638,plain,
( h4(op1(e13,e11)) != op2(h4(e13),e23)
| spl52_381 ),
inference(avatar_component_clause,[],[f7636]) ).
fof(f10474,plain,
( spl52_112
| spl52_25
| spl52_28
| spl52_27
| ~ spl52_290
| ~ spl52_342
| ~ spl52_354 ),
inference(avatar_split_clause,[],[f9389,f6638,f3978,f2447,f995,f1000,f985,f1393]) ).
fof(f9389,plain,
( e11 = e13
| e12 = e13
| e10 = e13
| e13 = op1(e13,e10)
| ~ spl52_290
| ~ spl52_342
| ~ spl52_354 ),
inference(forward_demodulation,[],[f9388,f6640]) ).
fof(f9388,plain,
( e12 = e13
| e10 = e13
| e13 = op1(e13,e12)
| e13 = op1(e13,e10)
| ~ spl52_290
| ~ spl52_342 ),
inference(forward_demodulation,[],[f7317,f2449]) ).
fof(f10473,plain,
( ~ spl52_126
| ~ spl52_333
| ~ spl52_127 ),
inference(avatar_split_clause,[],[f7400,f1461,f3484,f1457]) ).
fof(f1457,plain,
( spl52_126
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_126])]) ).
fof(f7400,plain,
( op1(e10,e10) != e12
| ~ sP34
| ~ spl52_127 ),
inference(trivial_inequality_removal,[],[f5586]) ).
fof(f5586,plain,
( e10 != e10
| op1(e10,e10) != e12
| ~ sP34
| ~ spl52_127 ),
inference(forward_demodulation,[],[f622,f1463]) ).
fof(f622,plain,
( e10 != op1(e10,e12)
| op1(e10,e10) != e12
| ~ sP34 ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,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(e10,e12) )
| ~ sP34 ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,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(e10,e12) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f10471,plain,
( spl52_279
| ~ spl52_58
| ~ spl52_256 ),
inference(avatar_split_clause,[],[f2282,f2143,f1136,f2318]) ).
fof(f2318,plain,
( spl52_279
<=> e21 = op2(e21,h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_279])]) ).
fof(f2282,plain,
( e21 = op2(e21,h2(e13))
| ~ spl52_58
| ~ spl52_256 ),
inference(forward_demodulation,[],[f2145,f1137]) ).
fof(f10456,plain,
( ~ spl52_298
| ~ spl52_46
| spl52_429 ),
inference(avatar_split_clause,[],[f10364,f9166,f1082,f2504]) ).
fof(f10364,plain,
( e23 != op2(e21,e23)
| ~ spl52_46
| spl52_429 ),
inference(superposition,[],[f9168,f1083]) ).
fof(f9168,plain,
( e23 != op2(h4(e10),e23)
| spl52_429 ),
inference(avatar_component_clause,[],[f9166]) ).
fof(f10417,plain,
( spl52_2
| ~ spl52_102
| ~ spl52_301
| ~ spl52_420 ),
inference(avatar_split_clause,[],[f10395,f9086,f2522,f1345,f870]) ).
fof(f10395,plain,
( e20 = e22
| ~ spl52_102
| ~ spl52_301
| ~ spl52_420 ),
inference(forward_demodulation,[],[f10390,f1347]) ).
fof(f10390,plain,
( e22 = op2(e20,e22)
| ~ spl52_301
| ~ spl52_420 ),
inference(superposition,[],[f9088,f2524]) ).
fof(f9088,plain,
( h4(e13) = op2(e20,h4(e13))
| ~ spl52_420 ),
inference(avatar_component_clause,[],[f9086]) ).
fof(f10412,plain,
( ~ spl52_160
| ~ spl52_70
| spl52_159 ),
inference(avatar_split_clause,[],[f1635,f1631,f1192,f1637]) ).
fof(f10381,plain,
( ~ spl52_312
| ~ spl52_46
| spl52_414 ),
inference(avatar_split_clause,[],[f10353,f9014,f1082,f2619]) ).
fof(f10353,plain,
( e20 != op2(e21,e20)
| ~ spl52_46
| spl52_414 ),
inference(superposition,[],[f9016,f1083]) ).
fof(f9016,plain,
( e20 != op2(h4(e10),e20)
| spl52_414 ),
inference(avatar_component_clause,[],[f9014]) ).
fof(f10343,plain,
( ~ spl52_437
| ~ spl52_349
| spl52_356 ),
inference(avatar_split_clause,[],[f9387,f7444,f5923,f10340]) ).
fof(f9387,plain,
( h4(e13) != op2(h4(e10),h4(e11))
| ~ spl52_349
| spl52_356 ),
inference(forward_demodulation,[],[f7446,f5925]) ).
fof(f10337,plain,
( ~ spl52_436
| ~ spl52_291
| spl52_358 ),
inference(avatar_split_clause,[],[f8849,f7452,f2457,f10334]) ).
fof(f8849,plain,
( h4(e11) != op2(h4(e10),h4(e13))
| ~ spl52_291
| spl52_358 ),
inference(forward_demodulation,[],[f7454,f2459]) ).
fof(f10319,plain,
( spl52_6
| ~ spl52_32
| ~ spl52_277
| ~ spl52_335
| ~ spl52_435 ),
inference(avatar_split_clause,[],[f10318,f10312,f3492,f2295,f1020,f890]) ).
fof(f10318,plain,
( e22 = e23
| ~ spl52_32
| ~ spl52_277
| ~ spl52_335
| ~ spl52_435 ),
inference(forward_demodulation,[],[f10317,f2297]) ).
fof(f10317,plain,
( e22 = op2(e23,e20)
| ~ spl52_32
| ~ spl52_335
| ~ spl52_435 ),
inference(forward_demodulation,[],[f10316,f1022]) ).
fof(f10316,plain,
( op2(e23,e20) = h3(e12)
| ~ spl52_335
| ~ spl52_435 ),
inference(forward_demodulation,[],[f10314,f3494]) ).
fof(f10315,plain,
( spl52_435
| ~ spl52_54
| ~ spl52_396 ),
inference(avatar_split_clause,[],[f7835,f7754,f1118,f10312]) ).
fof(f7754,plain,
( spl52_396
<=> h3(op1(e13,e10)) = op2(e23,h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_396])]) ).
fof(f7835,plain,
( op2(e23,e20) = h3(op1(e13,e10))
| ~ spl52_54
| ~ spl52_396 ),
inference(forward_demodulation,[],[f7755,f1119]) ).
fof(f7755,plain,
( h3(op1(e13,e10)) = op2(e23,h3(e10))
| ~ spl52_396 ),
inference(avatar_component_clause,[],[f7754]) ).
fof(f10308,plain,
( spl52_418
| ~ spl52_29
| ~ spl52_342
| ~ spl52_354
| ~ spl52_368
| ~ spl52_382
| ~ spl52_413 ),
inference(avatar_split_clause,[],[f9508,f8955,f7640,f7492,f6638,f3978,f1005,f9072]) ).
fof(f9072,plain,
( spl52_418
<=> h4(e10) = op2(h4(e13),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_418])]) ).
fof(f9508,plain,
( h4(e10) = op2(h4(e13),e20)
| ~ spl52_29
| ~ spl52_342
| ~ spl52_354
| ~ spl52_368
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f9507,f3980]) ).
fof(f9507,plain,
( h4(op1(e13,e11)) = op2(h4(e13),e20)
| ~ spl52_29
| ~ spl52_354
| ~ spl52_368
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f7493,f9490]) ).
fof(f10305,plain,
( ~ spl52_434
| ~ spl52_54
| ~ spl52_84
| spl52_384 ),
inference(avatar_split_clause,[],[f9404,f7706,f1259,f1118,f10302]) ).
fof(f10298,plain,
( ~ spl52_433
| ~ spl52_104
| spl52_374 ),
inference(avatar_split_clause,[],[f7677,f7608,f1355,f10295]) ).
fof(f10295,plain,
( spl52_433
<=> op2(e23,e23) = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_433])]) ).
fof(f7677,plain,
( op2(e23,e23) != h4(e11)
| ~ spl52_104
| spl52_374 ),
inference(forward_demodulation,[],[f7610,f1357]) ).
fof(f1357,plain,
( e11 = op1(e11,e11)
| ~ spl52_104 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f10292,plain,
( ~ spl52_273
| ~ spl52_46
| spl52_404 ),
inference(avatar_split_clause,[],[f10158,f8657,f1082,f2258]) ).
fof(f8657,plain,
( spl52_404
<=> e22 = op2(e22,h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_404])]) ).
fof(f10158,plain,
( e22 != op2(e22,e21)
| ~ spl52_46
| spl52_404 ),
inference(forward_demodulation,[],[f8658,f1083]) ).
fof(f8658,plain,
( e22 != op2(e22,h4(e10))
| spl52_404 ),
inference(avatar_component_clause,[],[f8657]) ).
fof(f10291,plain,
( ~ spl52_94
| ~ spl52_46
| ~ spl52_127
| spl52_357 ),
inference(avatar_split_clause,[],[f9825,f7448,f1461,f1082,f1309]) ).
fof(f9825,plain,
( e21 != op2(e21,e23)
| ~ spl52_46
| ~ spl52_127
| spl52_357 ),
inference(forward_demodulation,[],[f9812,f1083]) ).
fof(f9812,plain,
( op2(e21,e23) != h4(e10)
| ~ spl52_46
| ~ spl52_127
| spl52_357 ),
inference(forward_demodulation,[],[f7550,f1463]) ).
fof(f10290,plain,
( ~ spl52_310
| ~ spl52_29
| ~ spl52_46
| ~ spl52_291
| ~ spl52_301
| ~ spl52_354
| spl52_358
| ~ spl52_382
| ~ spl52_413 ),
inference(avatar_split_clause,[],[f9818,f8955,f7640,f7452,f6638,f2522,f2457,f1082,f1005,f2609]) ).
fof(f9818,plain,
( e20 != op2(e21,e22)
| ~ spl52_29
| ~ spl52_46
| ~ spl52_291
| ~ spl52_301
| ~ spl52_354
| spl52_358
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f9817,f9490]) ).
fof(f9817,plain,
( op2(e21,e22) != h4(e11)
| ~ spl52_46
| ~ spl52_291
| ~ spl52_301
| spl52_358 ),
inference(forward_demodulation,[],[f7547,f2459]) ).
fof(f7547,plain,
( op2(e21,e22) != h4(op1(e10,e13))
| ~ spl52_46
| ~ spl52_301
| spl52_358 ),
inference(forward_demodulation,[],[f7546,f1083]) ).
fof(f7546,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e22)
| ~ spl52_301
| spl52_358 ),
inference(forward_demodulation,[],[f7454,f2524]) ).
fof(f10280,plain,
( spl52_137
| ~ spl52_29
| ~ spl52_46
| ~ spl52_301
| ~ spl52_335
| ~ spl52_367 ),
inference(avatar_split_clause,[],[f9800,f7488,f3492,f2522,f1082,f1005,f1512]) ).
fof(f1512,plain,
( spl52_137
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_137])]) ).
fof(f9800,plain,
( e23 = op2(e22,e21)
| ~ spl52_29
| ~ spl52_46
| ~ spl52_301
| ~ spl52_335
| ~ spl52_367 ),
inference(forward_demodulation,[],[f9799,f1007]) ).
fof(f9799,plain,
( op2(e22,e21) = h4(e12)
| ~ spl52_46
| ~ spl52_301
| ~ spl52_335
| ~ spl52_367 ),
inference(forward_demodulation,[],[f7578,f3494]) ).
fof(f7578,plain,
( op2(e22,e21) = h4(op1(e13,e10))
| ~ spl52_46
| ~ spl52_301
| ~ spl52_367 ),
inference(forward_demodulation,[],[f7577,f2524]) ).
fof(f7577,plain,
( h4(op1(e13,e10)) = op2(h4(e13),e21)
| ~ spl52_46
| ~ spl52_367 ),
inference(forward_demodulation,[],[f7489,f1083]) ).
fof(f10279,plain,
( spl52_277
| ~ spl52_29
| ~ spl52_114
| ~ spl52_354
| ~ spl52_364
| ~ spl52_382
| ~ spl52_413 ),
inference(avatar_split_clause,[],[f9511,f8955,f7640,f7476,f6638,f1402,f1005,f2295]) ).
fof(f7476,plain,
( spl52_364
<=> h4(op1(e12,e11)) = op2(e23,h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_364])]) ).
fof(f9511,plain,
( e23 = op2(e23,e20)
| ~ spl52_29
| ~ spl52_114
| ~ spl52_354
| ~ spl52_364
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f9510,f1007]) ).
fof(f9510,plain,
( op2(e23,e20) = h4(e12)
| ~ spl52_29
| ~ spl52_114
| ~ spl52_354
| ~ spl52_364
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f9509,f1404]) ).
fof(f9509,plain,
( op2(e23,e20) = h4(op1(e12,e11))
| ~ spl52_29
| ~ spl52_354
| ~ spl52_364
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f7477,f9490]) ).
fof(f7477,plain,
( h4(op1(e12,e11)) = op2(e23,h4(e11))
| ~ spl52_364 ),
inference(avatar_component_clause,[],[f7476]) ).
fof(f10259,plain,
( spl52_5
| ~ spl52_29
| ~ spl52_46
| ~ spl52_169
| ~ spl52_324
| ~ spl52_354
| ~ spl52_359
| ~ spl52_382
| ~ spl52_413 ),
inference(avatar_split_clause,[],[f10258,f8955,f7640,f7456,f6638,f3087,f1687,f1082,f1005,f885]) ).
fof(f10258,plain,
( e21 = e23
| ~ spl52_29
| ~ spl52_46
| ~ spl52_169
| ~ spl52_324
| ~ spl52_354
| ~ spl52_359
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f3089,f9836]) ).
fof(f9836,plain,
( e21 = op2(e20,e21)
| ~ spl52_29
| ~ spl52_46
| ~ spl52_169
| ~ spl52_354
| ~ spl52_359
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f9835,f1083]) ).
fof(f9835,plain,
( op2(e20,e21) = h4(e10)
| ~ spl52_29
| ~ spl52_46
| ~ spl52_169
| ~ spl52_354
| ~ spl52_359
| ~ spl52_382
| ~ spl52_413 ),
inference(forward_demodulation,[],[f9834,f1688]) ).
fof(f1688,plain,
( e10 = op1(e11,e10)
| ~ spl52_169 ),
inference(avatar_component_clause,[],[f1687]) ).
fof(f10257,plain,
( spl52_324
| ~ spl52_54
| ~ spl52_88
| ~ spl52_270
| ~ spl52_349
| ~ spl52_385 ),
inference(avatar_split_clause,[],[f9469,f7710,f5923,f2244,f1281,f1118,f3087]) ).
fof(f9469,plain,
( e23 = op2(e20,e21)
| ~ spl52_54
| ~ spl52_88
| ~ spl52_270
| ~ spl52_349
| ~ spl52_385 ),
inference(forward_demodulation,[],[f7954,f1283]) ).
fof(f7954,plain,
( op2(e20,e21) = h3(e13)
| ~ spl52_54
| ~ spl52_270
| ~ spl52_349
| ~ spl52_385 ),
inference(forward_demodulation,[],[f7953,f5925]) ).
fof(f7953,plain,
( op2(e20,e21) = h3(op1(e10,e11))
| ~ spl52_54
| ~ spl52_270
| ~ spl52_385 ),
inference(forward_demodulation,[],[f7952,f1119]) ).
fof(f10256,plain,
( spl52_304
| ~ spl52_54
| ~ spl52_270
| ~ spl52_291
| ~ spl52_387 ),
inference(avatar_split_clause,[],[f7877,f7718,f2457,f2244,f1118,f2552]) ).
fof(f7877,plain,
( e21 = op2(e20,e23)
| ~ spl52_54
| ~ spl52_270
| ~ spl52_291
| ~ spl52_387 ),
inference(forward_demodulation,[],[f7876,f2246]) ).
fof(f7876,plain,
( op2(e20,e23) = h3(e11)
| ~ spl52_54
| ~ spl52_291
| ~ spl52_387 ),
inference(forward_demodulation,[],[f7875,f2459]) ).
fof(f7875,plain,
( op2(e20,e23) = h3(op1(e10,e13))
| ~ spl52_54
| ~ spl52_387 ),
inference(forward_demodulation,[],[f7719,f1119]) ).
fof(f10255,plain,
( spl52_312
| ~ spl52_54
| ~ spl52_169
| ~ spl52_270
| ~ spl52_388 ),
inference(avatar_split_clause,[],[f7873,f7722,f2244,f1687,f1118,f2619]) ).
fof(f7873,plain,
( e20 = op2(e21,e20)
| ~ spl52_54
| ~ spl52_169
| ~ spl52_270
| ~ spl52_388 ),
inference(forward_demodulation,[],[f7872,f1119]) ).
fof(f7872,plain,
( op2(e21,e20) = h3(e10)
| ~ spl52_54
| ~ spl52_169
| ~ spl52_270
| ~ spl52_388 ),
inference(forward_demodulation,[],[f7871,f1688]) ).
fof(f7871,plain,
( op2(e21,e20) = h3(op1(e11,e10))
| ~ spl52_54
| ~ spl52_270
| ~ spl52_388 ),
inference(forward_demodulation,[],[f7870,f2246]) ).
fof(f7870,plain,
( h3(op1(e11,e10)) = op2(h3(e11),e20)
| ~ spl52_54
| ~ spl52_388 ),
inference(forward_demodulation,[],[f7723,f1119]) ).
fof(f10254,plain,
( spl52_86
| ~ spl52_104
| ~ spl52_270
| ~ spl52_389 ),
inference(avatar_split_clause,[],[f7868,f7726,f2244,f1355,f1270]) ).
fof(f7868,plain,
( e21 = op2(e21,e21)
| ~ spl52_104
| ~ spl52_270
| ~ spl52_389 ),
inference(forward_demodulation,[],[f7867,f2246]) ).
fof(f7867,plain,
( op2(e21,e21) = h3(e11)
| ~ spl52_104
| ~ spl52_270
| ~ spl52_389 ),
inference(forward_demodulation,[],[f7866,f1357]) ).
fof(f7866,plain,
( op2(e21,e21) = h3(op1(e11,e11))
| ~ spl52_270
| ~ spl52_389 ),
inference(forward_demodulation,[],[f7727,f2246]) ).
fof(f10253,plain,
( spl52_298
| ~ spl52_88
| ~ spl52_270
| ~ spl52_351
| ~ spl52_391 ),
inference(avatar_split_clause,[],[f7859,f7734,f6156,f2244,f1281,f2504]) ).
fof(f7859,plain,
( e23 = op2(e21,e23)
| ~ spl52_88
| ~ spl52_270
| ~ spl52_351
| ~ spl52_391 ),
inference(forward_demodulation,[],[f7858,f1283]) ).
fof(f7858,plain,
( op2(e21,e23) = h3(e13)
| ~ spl52_270
| ~ spl52_351
| ~ spl52_391 ),
inference(forward_demodulation,[],[f7857,f6158]) ).
fof(f7857,plain,
( op2(e21,e23) = h3(op1(e11,e13))
| ~ spl52_270
| ~ spl52_391 ),
inference(forward_demodulation,[],[f7735,f2246]) ).
fof(f10251,plain,
( ~ spl52_432
| ~ spl52_169
| ~ spl52_264
| spl52_373 ),
inference(avatar_split_clause,[],[f7680,f7604,f2207,f1687,f10248]) ).
fof(f10248,plain,
( spl52_432
<=> h4(e10) = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_432])]) ).
fof(f7680,plain,
( h4(e10) != h4(e11)
| ~ spl52_169
| ~ spl52_264
| spl52_373 ),
inference(forward_demodulation,[],[f7679,f1688]) ).
fof(f10245,plain,
( ~ spl52_293
| ~ spl52_85
| spl52_401 ),
inference(avatar_split_clause,[],[f9381,f8233,f1264,f2466]) ).
fof(f9381,plain,
( e23 != h2(e13)
| ~ spl52_85
| spl52_401 ),
inference(superposition,[],[f8235,f1266]) ).
fof(f8235,plain,
( e23 != op2(e21,e21)
| spl52_401 ),
inference(avatar_component_clause,[],[f8233]) ).
fof(f10244,plain,
( ~ spl52_328
| ~ spl52_29
| ~ spl52_295
| spl52_375 ),
inference(avatar_split_clause,[],[f7676,f7612,f2482,f1005,f3108]) ).
fof(f3108,plain,
( spl52_328
<=> e23 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_328])]) ).
fof(f2482,plain,
( spl52_295
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_295])]) ).
fof(f7676,plain,
( e23 != op2(e23,e23)
| ~ spl52_29
| ~ spl52_295
| spl52_375 ),
inference(forward_demodulation,[],[f7675,f1007]) ).
fof(f7675,plain,
( op2(e23,e23) != h4(e12)
| ~ spl52_29
| ~ spl52_295
| spl52_375 ),
inference(forward_demodulation,[],[f7674,f2484]) ).
fof(f2484,plain,
( e12 = op1(e11,e12)
| ~ spl52_295 ),
inference(avatar_component_clause,[],[f2482]) ).
fof(f7674,plain,
( op2(e23,e23) != h4(op1(e11,e12))
| ~ spl52_29
| spl52_375 ),
inference(forward_demodulation,[],[f7614,f1007]) ).
fof(f10243,plain,
( spl52_346
| ~ spl52_29
| ~ spl52_354
| ~ spl52_382
| ~ spl52_413 ),
inference(avatar_split_clause,[],[f9490,f8955,f7640,f6638,f1005,f5149]) ).
fof(f10238,plain,
( ~ spl52_104
| spl52_360
| ~ spl52_409 ),
inference(avatar_contradiction_clause,[],[f10237]) ).
fof(f10237,plain,
( $false
| ~ spl52_104
| spl52_360
| ~ spl52_409 ),
inference(trivial_inequality_removal,[],[f10236]) ).
fof(f10236,plain,
( h4(e11) != h4(e11)
| ~ spl52_104
| spl52_360
| ~ spl52_409 ),
inference(forward_demodulation,[],[f10235,f1357]) ).
fof(f10235,plain,
( h4(e11) != h4(op1(e11,e11))
| spl52_360
| ~ spl52_409 ),
inference(forward_demodulation,[],[f7462,f8722]) ).
fof(f10223,plain,
( spl52_2
| ~ spl52_104
| ~ spl52_313
| ~ spl52_346
| ~ spl52_360 ),
inference(avatar_split_clause,[],[f10203,f7460,f5149,f2734,f1355,f870]) ).
fof(f10203,plain,
( e20 = e22
| ~ spl52_104
| ~ spl52_313
| ~ spl52_346
| ~ spl52_360 ),
inference(forward_demodulation,[],[f2736,f8839]) ).
fof(f8839,plain,
( e20 = op2(e20,e20)
| ~ spl52_104
| ~ spl52_346
| ~ spl52_360 ),
inference(forward_demodulation,[],[f8558,f5151]) ).
fof(f8558,plain,
( op2(e20,e20) = h4(e11)
| ~ spl52_104
| ~ spl52_346
| ~ spl52_360 ),
inference(forward_demodulation,[],[f8189,f1357]) ).
fof(f8189,plain,
( op2(e20,e20) = h4(op1(e11,e11))
| ~ spl52_346
| ~ spl52_360 ),
inference(forward_demodulation,[],[f7461,f5151]) ).
fof(f10177,plain,
( spl52_4
| ~ spl52_46
| ~ spl52_104
| ~ spl52_270
| ~ spl52_301
| ~ spl52_336
| ~ spl52_355
| ~ spl52_389 ),
inference(avatar_split_clause,[],[f10012,f7726,f7440,f3551,f2522,f2244,f1355,f1082,f880]) ).
fof(f10012,plain,
( e21 = e22
| ~ spl52_46
| ~ spl52_104
| ~ spl52_270
| ~ spl52_301
| ~ spl52_336
| ~ spl52_355
| ~ spl52_389 ),
inference(forward_demodulation,[],[f10011,f7868]) ).
fof(f10011,plain,
( e22 = op2(e21,e21)
| ~ spl52_46
| ~ spl52_301
| ~ spl52_336
| ~ spl52_355 ),
inference(forward_demodulation,[],[f10010,f2524]) ).
fof(f10010,plain,
( op2(e21,e21) = h4(e13)
| ~ spl52_46
| ~ spl52_336
| ~ spl52_355 ),
inference(forward_demodulation,[],[f10009,f3553]) ).
fof(f10009,plain,
( op2(e21,e21) = h4(op1(e10,e10))
| ~ spl52_46
| ~ spl52_355 ),
inference(forward_demodulation,[],[f7441,f1083]) ).
fof(f10160,plain,
( spl52_2
| ~ spl52_102
| ~ spl52_346
| ~ spl52_403 ),
inference(avatar_split_clause,[],[f9933,f8651,f5149,f1345,f870]) ).
fof(f9933,plain,
( e20 = e22
| ~ spl52_102
| ~ spl52_346
| ~ spl52_403 ),
inference(forward_demodulation,[],[f8655,f1347]) ).
fof(f8655,plain,
( e22 = op2(e20,e22)
| ~ spl52_346
| ~ spl52_403 ),
inference(forward_demodulation,[],[f8653,f5151]) ).
fof(f10097,plain,
( spl52_6
| ~ spl52_29
| ~ spl52_301
| ~ spl52_335
| ~ spl52_367
| ~ spl52_404 ),
inference(avatar_split_clause,[],[f9578,f8657,f7488,f3492,f2522,f1005,f890]) ).
fof(f9578,plain,
( e22 = e23
| ~ spl52_29
| ~ spl52_301
| ~ spl52_335
| ~ spl52_367
| ~ spl52_404 ),
inference(forward_demodulation,[],[f9577,f1007]) ).
fof(f9577,plain,
( e22 = h4(e12)
| ~ spl52_301
| ~ spl52_335
| ~ spl52_367
| ~ spl52_404 ),
inference(forward_demodulation,[],[f9576,f3494]) ).
fof(f9576,plain,
( e22 = h4(op1(e13,e10))
| ~ spl52_301
| ~ spl52_367
| ~ spl52_404 ),
inference(forward_demodulation,[],[f8485,f8659]) ).
fof(f8659,plain,
( e22 = op2(e22,h4(e10))
| ~ spl52_404 ),
inference(avatar_component_clause,[],[f8657]) ).
fof(f10032,plain,
( spl52_2
| ~ spl52_102
| ~ spl52_301
| ~ spl52_346
| ~ spl52_351
| ~ spl52_362 ),
inference(avatar_split_clause,[],[f9881,f7468,f6156,f5149,f2522,f1345,f870]) ).
fof(f9881,plain,
( e20 = e22
| ~ spl52_102
| ~ spl52_301
| ~ spl52_346
| ~ spl52_351
| ~ spl52_362 ),
inference(forward_demodulation,[],[f8564,f1347]) ).
fof(f8564,plain,
( e22 = op2(e20,e22)
| ~ spl52_301
| ~ spl52_346
| ~ spl52_351
| ~ spl52_362 ),
inference(forward_demodulation,[],[f8563,f2524]) ).
fof(f8563,plain,
( op2(e20,e22) = h4(e13)
| ~ spl52_301
| ~ spl52_346
| ~ spl52_351
| ~ spl52_362 ),
inference(forward_demodulation,[],[f8181,f6158]) ).
fof(f8181,plain,
( op2(e20,e22) = h4(op1(e11,e13))
| ~ spl52_301
| ~ spl52_346
| ~ spl52_362 ),
inference(forward_demodulation,[],[f8180,f5151]) ).
fof(f10015,plain,
( spl52_5
| ~ spl52_54
| ~ spl52_270
| ~ spl52_291
| ~ spl52_346
| ~ spl52_387
| ~ spl52_402 ),
inference(avatar_split_clause,[],[f9517,f8645,f7718,f5149,f2457,f2244,f1118,f885]) ).
fof(f9517,plain,
( e21 = e23
| ~ spl52_54
| ~ spl52_270
| ~ spl52_291
| ~ spl52_346
| ~ spl52_387
| ~ spl52_402 ),
inference(forward_demodulation,[],[f8649,f7877]) ).
fof(f8649,plain,
( e23 = op2(e20,e23)
| ~ spl52_346
| ~ spl52_402 ),
inference(forward_demodulation,[],[f8647,f5151]) ).
fof(f9969,plain,
( spl52_5
| ~ spl52_46
| ~ spl52_104
| ~ spl52_270
| ~ spl52_355
| ~ spl52_389
| ~ spl52_408 ),
inference(avatar_split_clause,[],[f9776,f8714,f7726,f7440,f2244,f1355,f1082,f885]) ).
fof(f9776,plain,
( e21 = e23
| ~ spl52_46
| ~ spl52_104
| ~ spl52_270
| ~ spl52_355
| ~ spl52_389
| ~ spl52_408 ),
inference(forward_demodulation,[],[f9775,f7868]) ).
fof(f9775,plain,
( e23 = op2(e21,e21)
| ~ spl52_46
| ~ spl52_355
| ~ spl52_408 ),
inference(forward_demodulation,[],[f8284,f9403]) ).
fof(f8284,plain,
( op2(e21,e21) = h4(op1(e10,e10))
| ~ spl52_46
| ~ spl52_355 ),
inference(forward_demodulation,[],[f7441,f1083]) ).
fof(f9824,plain,
( spl52_6
| ~ spl52_29
| ~ spl52_32
| ~ spl52_114
| ~ spl52_290
| ~ spl52_378
| ~ spl52_399 ),
inference(avatar_split_clause,[],[f9408,f7766,f7624,f2447,f1402,f1020,f1005,f890]) ).
fof(f7624,plain,
( spl52_378
<=> h4(op1(e12,e11)) = op2(h4(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_378])]) ).
fof(f9408,plain,
( e22 = e23
| ~ spl52_29
| ~ spl52_32
| ~ spl52_114
| ~ spl52_290
| ~ spl52_378
| ~ spl52_399 ),
inference(forward_demodulation,[],[f7825,f9028]) ).
fof(f9028,plain,
( e23 = op2(e23,e23)
| ~ spl52_29
| ~ spl52_114
| ~ spl52_378 ),
inference(forward_demodulation,[],[f9027,f1007]) ).
fof(f9027,plain,
( op2(e23,e23) = h4(e12)
| ~ spl52_29
| ~ spl52_114
| ~ spl52_378 ),
inference(forward_demodulation,[],[f9026,f1404]) ).
fof(f9026,plain,
( op2(e23,e23) = h4(op1(e12,e11))
| ~ spl52_29
| ~ spl52_378 ),
inference(forward_demodulation,[],[f7625,f1007]) ).
fof(f7625,plain,
( h4(op1(e12,e11)) = op2(h4(e12),e23)
| ~ spl52_378 ),
inference(avatar_component_clause,[],[f7624]) ).
fof(f7825,plain,
( e22 = op2(e23,e23)
| ~ spl52_32
| ~ spl52_290
| ~ spl52_399 ),
inference(forward_demodulation,[],[f7824,f1022]) ).
fof(f7824,plain,
( op2(e23,e23) = h3(e12)
| ~ spl52_290
| ~ spl52_399 ),
inference(forward_demodulation,[],[f7767,f2449]) ).
fof(f9382,plain,
( spl52_282
| spl52_4
| spl52_2
| spl52_6
| ~ spl52_94
| ~ spl52_310
| ~ spl52_316 ),
inference(avatar_split_clause,[],[f9368,f2816,f2609,f1309,f890,f870,f880,f2366]) ).
fof(f2366,plain,
( spl52_282
<=> e22 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_282])]) ).
fof(f2816,plain,
( spl52_316
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_316])]) ).
fof(f9368,plain,
( e22 = e23
| e20 = e22
| e21 = e22
| e22 = h2(e13)
| ~ spl52_94
| ~ spl52_310
| ~ spl52_316 ),
inference(forward_demodulation,[],[f9367,f2818]) ).
fof(f2818,plain,
( e23 = op2(e21,e20)
| ~ spl52_316 ),
inference(avatar_component_clause,[],[f2816]) ).
fof(f9367,plain,
( e20 = e22
| e21 = e22
| e22 = h2(e13)
| e22 = op2(e21,e20)
| ~ spl52_94
| ~ spl52_310 ),
inference(forward_demodulation,[],[f2863,f2610]) ).
fof(f2863,plain,
( e21 = e22
| e22 = h2(e13)
| e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| ~ spl52_94 ),
inference(forward_demodulation,[],[f736,f1311]) ).
fof(f1311,plain,
( e21 = op2(e21,e23)
| ~ spl52_94 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f736,plain,
( e22 = h2(e13)
| e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e20) ),
inference(forward_demodulation,[],[f350,f231]) ).
fof(f231,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( op2(e21,e21) = h2(e13)
& h2(e11) = op2(e21,op2(e21,op2(e21,e21)))
& h2(e10) = op2(e21,op2(e21,e21))
& e21 = h2(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f350,plain,
( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = 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/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f9376,plain,
( spl52_6
| spl52_4
| spl52_2
| ~ spl52_85
| ~ spl52_94
| ~ spl52_310
| ~ spl52_316
| ~ spl52_401 ),
inference(avatar_split_clause,[],[f9375,f8233,f2816,f2609,f1309,f1264,f870,f880,f890]) ).
fof(f9375,plain,
( e20 = e22
| e21 = e22
| e22 = e23
| ~ spl52_85
| ~ spl52_94
| ~ spl52_310
| ~ spl52_316
| ~ spl52_401 ),
inference(forward_demodulation,[],[f9374,f2610]) ).
fof(f9374,plain,
( e21 = e22
| e22 = e23
| e22 = op2(e21,e22)
| ~ spl52_85
| ~ spl52_94
| ~ spl52_316
| ~ spl52_401 ),
inference(forward_demodulation,[],[f9373,f1311]) ).
fof(f9373,plain,
( e22 = e23
| e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| ~ spl52_85
| ~ spl52_316
| ~ spl52_401 ),
inference(duplicate_literal_removal,[],[f9372]) ).
fof(f9372,plain,
( e22 = e23
| e22 = e23
| e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| ~ spl52_85
| ~ spl52_316
| ~ spl52_401 ),
inference(forward_demodulation,[],[f2876,f8643]) ).
fof(f2876,plain,
( e22 = e23
| e22 = h2(e13)
| e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| ~ spl52_316 ),
inference(forward_demodulation,[],[f736,f2818]) ).
fof(f9365,plain,
( spl52_4
| spl52_2
| spl52_6
| ~ spl52_94
| ~ spl52_293
| ~ spl52_310
| ~ spl52_316 ),
inference(avatar_split_clause,[],[f8873,f2816,f2609,f2466,f1309,f890,f870,f880]) ).
fof(f8873,plain,
( e22 = e23
| e20 = e22
| e21 = e22
| ~ spl52_94
| ~ spl52_293
| ~ spl52_310
| ~ spl52_316 ),
inference(duplicate_literal_removal,[],[f8872]) ).
fof(f8872,plain,
( e22 = e23
| e20 = e22
| e22 = e23
| e21 = e22
| ~ spl52_94
| ~ spl52_293
| ~ spl52_310
| ~ spl52_316 ),
inference(forward_demodulation,[],[f8803,f2818]) ).
fof(f8803,plain,
( e20 = e22
| e22 = e23
| e21 = e22
| e22 = op2(e21,e20)
| ~ spl52_94
| ~ spl52_293
| ~ spl52_310 ),
inference(forward_demodulation,[],[f8802,f2610]) ).
fof(f8802,plain,
( e22 = e23
| e21 = e22
| e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| ~ spl52_94
| ~ spl52_293 ),
inference(forward_demodulation,[],[f2863,f2467]) ).
fof(f9364,plain,
( ~ spl52_58
| ~ spl52_256
| spl52_279 ),
inference(avatar_split_clause,[],[f2912,f2318,f2143,f1136]) ).
fof(f2912,plain,
( e21 != h2(e10)
| ~ spl52_256
| spl52_279 ),
inference(superposition,[],[f2319,f2145]) ).
fof(f2319,plain,
( e21 != op2(e21,h2(e13))
| spl52_279 ),
inference(avatar_component_clause,[],[f2318]) ).
fof(f9334,plain,
( ~ spl52_383
| ~ spl52_264
| spl52_428 ),
inference(avatar_split_clause,[],[f9170,f9161,f2207,f7644]) ).
fof(f7644,plain,
( spl52_383
<=> e23 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_383])]) ).
fof(f9161,plain,
( spl52_428
<=> e23 = op2(e23,h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_428])]) ).
fof(f9170,plain,
( e23 != h4(e11)
| ~ spl52_264
| spl52_428 ),
inference(superposition,[],[f9163,f2209]) ).
fof(f9163,plain,
( e23 != op2(e23,h4(e10))
| spl52_428 ),
inference(avatar_component_clause,[],[f9161]) ).
fof(f9329,plain,
( ~ spl52_402
| ~ spl52_72
| ~ spl52_254
| ~ spl52_328
| spl52_410 ),
inference(avatar_split_clause,[],[f9306,f8726,f3108,f2133,f1201,f8645]) ).
fof(f9306,plain,
( e23 != op2(h4(e11),e23)
| ~ spl52_72
| ~ spl52_254
| ~ spl52_328
| spl52_410 ),
inference(forward_demodulation,[],[f8728,f9214]) ).
fof(f9214,plain,
( e23 = h4(e10)
| ~ spl52_72
| ~ spl52_254
| ~ spl52_328 ),
inference(forward_demodulation,[],[f5134,f3110]) ).
fof(f3110,plain,
( e23 = op2(e23,e23)
| ~ spl52_328 ),
inference(avatar_component_clause,[],[f3108]) ).
fof(f5134,plain,
( op2(e23,e23) = h4(e10)
| ~ spl52_72
| ~ spl52_254 ),
inference(superposition,[],[f2135,f1202]) ).
fof(f1202,plain,
( e23 = h4(e13)
| ~ spl52_72 ),
inference(avatar_component_clause,[],[f1201]) ).
fof(f8728,plain,
( h4(e10) != op2(h4(e11),h4(e10))
| spl52_410 ),
inference(avatar_component_clause,[],[f8726]) ).
fof(f9328,plain,
( ~ spl52_431
| ~ spl52_72
| ~ spl52_83
| ~ spl52_254
| ~ spl52_328
| ~ spl52_342
| spl52_368 ),
inference(avatar_split_clause,[],[f9300,f7492,f3978,f3108,f2133,f1254,f1201,f9325]) ).
fof(f9325,plain,
( spl52_431
<=> e23 = op2(e23,h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_431])]) ).
fof(f9300,plain,
( e23 != op2(e23,h4(e11))
| ~ spl52_72
| ~ spl52_83
| ~ spl52_254
| ~ spl52_328
| ~ spl52_342
| spl52_368 ),
inference(forward_demodulation,[],[f9299,f9214]) ).
fof(f9299,plain,
( h4(e10) != op2(e23,h4(e11))
| ~ spl52_83
| ~ spl52_328
| ~ spl52_342
| spl52_368 ),
inference(forward_demodulation,[],[f9298,f3980]) ).
fof(f9298,plain,
( h4(op1(e13,e11)) != op2(e23,h4(e11))
| ~ spl52_83
| ~ spl52_328
| spl52_368 ),
inference(forward_demodulation,[],[f7494,f3115]) ).
fof(f3115,plain,
( e23 = h4(e13)
| ~ spl52_83
| ~ spl52_328 ),
inference(superposition,[],[f3110,f1256]) ).
fof(f7494,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| spl52_368 ),
inference(avatar_component_clause,[],[f7492]) ).
fof(f9323,plain,
( spl52_402
| ~ spl52_83
| ~ spl52_328
| ~ spl52_351
| ~ spl52_362 ),
inference(avatar_split_clause,[],[f9292,f7468,f6156,f3108,f1254,f8645]) ).
fof(f9292,plain,
( e23 = op2(h4(e11),e23)
| ~ spl52_83
| ~ spl52_328
| ~ spl52_351
| ~ spl52_362 ),
inference(forward_demodulation,[],[f9291,f3115]) ).
fof(f9291,plain,
( h4(e13) = op2(h4(e11),e23)
| ~ spl52_83
| ~ spl52_328
| ~ spl52_351
| ~ spl52_362 ),
inference(forward_demodulation,[],[f9290,f6158]) ).
fof(f9290,plain,
( h4(op1(e11,e13)) = op2(h4(e11),e23)
| ~ spl52_83
| ~ spl52_328
| ~ spl52_362 ),
inference(forward_demodulation,[],[f7469,f3115]) ).
fof(f9322,plain,
( ~ spl52_430
| ~ spl52_72
| ~ spl52_254
| ~ spl52_306
| ~ spl52_328
| spl52_406 ),
inference(avatar_split_clause,[],[f9305,f8679,f3108,f2568,f2133,f1201,f9319]) ).
fof(f9319,plain,
( spl52_430
<=> e21 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_430])]) ).
fof(f9305,plain,
( e21 != h4(e11)
| ~ spl52_72
| ~ spl52_254
| ~ spl52_306
| ~ spl52_328
| spl52_406 ),
inference(forward_demodulation,[],[f9304,f2570]) ).
fof(f9304,plain,
( op2(e23,e22) != h4(e11)
| ~ spl52_72
| ~ spl52_254
| ~ spl52_328
| spl52_406 ),
inference(forward_demodulation,[],[f8681,f9214]) ).
fof(f9215,plain,
( spl52_6
| ~ spl52_83
| ~ spl52_299
| ~ spl52_328
| ~ spl52_420 ),
inference(avatar_split_clause,[],[f9212,f9086,f3108,f2514,f1254,f890]) ).
fof(f9212,plain,
( e22 = e23
| ~ spl52_83
| ~ spl52_299
| ~ spl52_328
| ~ spl52_420 ),
inference(forward_demodulation,[],[f2516,f9090]) ).
fof(f9090,plain,
( e23 = op2(e20,e23)
| ~ spl52_83
| ~ spl52_328
| ~ spl52_420 ),
inference(forward_demodulation,[],[f9088,f3115]) ).
fof(f2516,plain,
( e22 = op2(e20,e23)
| ~ spl52_299 ),
inference(avatar_component_clause,[],[f2514]) ).
fof(f9180,plain,
( spl52_1
| ~ spl52_96
| ~ spl52_310 ),
inference(avatar_split_clause,[],[f3013,f2609,f1318,f865]) ).
fof(f1318,plain,
( spl52_96
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_96])]) ).
fof(f3013,plain,
( e20 = e21
| ~ spl52_96
| ~ spl52_310 ),
inference(superposition,[],[f1320,f2610]) ).
fof(f1320,plain,
( e21 = op2(e21,e22)
| ~ spl52_96 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f9169,plain,
( ~ spl52_429
| ~ spl52_83
| ~ spl52_328
| spl52_415 ),
inference(avatar_split_clause,[],[f9125,f9052,f3108,f1254,f9166]) ).
fof(f9052,plain,
( spl52_415
<=> h4(e13) = op2(h4(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_415])]) ).
fof(f9125,plain,
( e23 != op2(h4(e10),e23)
| ~ spl52_83
| ~ spl52_328
| spl52_415 ),
inference(forward_demodulation,[],[f9054,f3115]) ).
fof(f9054,plain,
( h4(e13) != op2(h4(e10),e23)
| spl52_415 ),
inference(avatar_component_clause,[],[f9052]) ).
fof(f9164,plain,
( ~ spl52_428
| ~ spl52_83
| ~ spl52_328
| spl52_424 ),
inference(avatar_split_clause,[],[f9115,f9111,f3108,f1254,f9161]) ).
fof(f9115,plain,
( e23 != op2(e23,h4(e10))
| ~ spl52_83
| ~ spl52_328
| spl52_424 ),
inference(forward_demodulation,[],[f9113,f3115]) ).
fof(f9159,plain,
( ~ spl52_427
| ~ spl52_83
| ~ spl52_328
| spl52_419 ),
inference(avatar_split_clause,[],[f9083,f9079,f3108,f1254,f9156]) ).
fof(f9156,plain,
( spl52_427
<=> e20 = op2(h4(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_427])]) ).
fof(f9083,plain,
( e20 != op2(h4(e10),e23)
| ~ spl52_83
| ~ spl52_328
| spl52_419 ),
inference(forward_demodulation,[],[f9081,f3115]) ).
fof(f9154,plain,
( ~ spl52_426
| ~ spl52_83
| ~ spl52_328
| spl52_417 ),
inference(avatar_split_clause,[],[f9069,f9065,f3108,f1254,f9151]) ).
fof(f9151,plain,
( spl52_426
<=> e23 = op2(h4(e10),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_426])]) ).
fof(f9069,plain,
( e23 != op2(h4(e10),e20)
| ~ spl52_83
| ~ spl52_328
| spl52_417 ),
inference(forward_demodulation,[],[f9067,f3115]) ).
fof(f9122,plain,
( spl52_3
| ~ spl52_83
| ~ spl52_96
| ~ spl52_306
| ~ spl52_308
| ~ spl52_310
| ~ spl52_325 ),
inference(avatar_split_clause,[],[f9011,f3096,f2609,f2597,f2568,f1318,f1254,f875]) ).
fof(f3096,plain,
( spl52_325
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_325])]) ).
fof(f9011,plain,
( e20 = e23
| ~ spl52_83
| ~ spl52_96
| ~ spl52_306
| ~ spl52_308
| ~ spl52_310
| ~ spl52_325 ),
inference(duplicate_literal_removal,[],[f9010]) ).
fof(f9010,plain,
( e20 = e23
| e20 = e23
| ~ spl52_83
| ~ spl52_96
| ~ spl52_306
| ~ spl52_308
| ~ spl52_310
| ~ spl52_325 ),
inference(forward_demodulation,[],[f9009,f8944]) ).
fof(f8944,plain,
( e20 = op2(e23,e20)
| ~ spl52_96
| ~ spl52_308
| ~ spl52_310 ),
inference(forward_demodulation,[],[f2599,f3013]) ).
fof(f9009,plain,
( e20 = e23
| e23 = op2(e23,e20)
| ~ spl52_83
| ~ spl52_96
| ~ spl52_306
| ~ spl52_308
| ~ spl52_310
| ~ spl52_325 ),
inference(duplicate_literal_removal,[],[f9008]) ).
fof(f9008,plain,
( e20 = e23
| e20 = e23
| e23 = op2(e23,e20)
| ~ spl52_83
| ~ spl52_96
| ~ spl52_306
| ~ spl52_308
| ~ spl52_310
| ~ spl52_325 ),
inference(forward_demodulation,[],[f4892,f3013]) ).
fof(f4892,plain,
( e20 = e23
| e21 = e23
| e23 = op2(e23,e20)
| ~ spl52_83
| ~ spl52_306
| ~ spl52_308
| ~ spl52_325 ),
inference(duplicate_literal_removal,[],[f4891]) ).
fof(f4891,plain,
( e20 = e23
| e21 = e23
| e20 = e23
| e23 = op2(e23,e20)
| ~ spl52_83
| ~ spl52_306
| ~ spl52_308
| ~ spl52_325 ),
inference(forward_demodulation,[],[f4890,f2599]) ).
fof(f4890,plain,
( e21 = e23
| e20 = e23
| e23 = op2(e23,e21)
| e23 = op2(e23,e20)
| ~ spl52_83
| ~ spl52_306
| ~ spl52_325 ),
inference(forward_demodulation,[],[f4889,f2570]) ).
fof(f4889,plain,
( e20 = e23
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20)
| ~ spl52_83
| ~ spl52_325 ),
inference(forward_demodulation,[],[f724,f3886]) ).
fof(f3886,plain,
( e20 = h4(e13)
| ~ spl52_83
| ~ spl52_325 ),
inference(superposition,[],[f3098,f1256]) ).
fof(f3098,plain,
( e20 = op2(e23,e23)
| ~ spl52_325 ),
inference(avatar_component_clause,[],[f3096]) ).
fof(f724,plain,
( e23 = h4(e13)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(forward_demodulation,[],[f368,f223]) ).
fof(f223,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( op2(e23,e23) = h4(e13)
& h4(e11) = op2(e23,op2(e23,op2(e23,e23)))
& h4(e10) = op2(e23,op2(e23,e23))
& e23 = h4(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f368,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f9121,plain,
( ~ spl52_425
| ~ spl52_83
| ~ spl52_96
| ~ spl52_306
| ~ spl52_308
| ~ spl52_310
| ~ spl52_325
| ~ spl52_328
| spl52_424 ),
inference(avatar_split_clause,[],[f9116,f9111,f3108,f3096,f2609,f2597,f2568,f1318,f1254,f9118]) ).
fof(f9118,plain,
( spl52_425
<=> e20 = op2(e20,h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_425])]) ).
fof(f9116,plain,
( e20 != op2(e20,h4(e10))
| ~ spl52_83
| ~ spl52_96
| ~ spl52_306
| ~ spl52_308
| ~ spl52_310
| ~ spl52_325
| ~ spl52_328
| spl52_424 ),
inference(forward_demodulation,[],[f9115,f9011]) ).
fof(f9114,plain,
( ~ spl52_424
| ~ spl52_112
| spl52_367 ),
inference(avatar_split_clause,[],[f8834,f7488,f1393,f9111]) ).
fof(f8834,plain,
( h4(e13) != op2(h4(e13),h4(e10))
| ~ spl52_112
| spl52_367 ),
inference(forward_demodulation,[],[f7490,f1395]) ).
fof(f9109,plain,
( ~ spl52_423
| ~ spl52_83
| ~ spl52_96
| ~ spl52_306
| ~ spl52_308
| ~ spl52_310
| ~ spl52_325
| spl52_407 ),
inference(avatar_split_clause,[],[f9063,f8686,f3096,f2609,f2597,f2568,f1318,f1254,f9106]) ).
fof(f9106,plain,
( spl52_423
<=> h4(e10) = op2(h4(e10),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_423])]) ).
fof(f9063,plain,
( h4(e10) != op2(h4(e10),e20)
| ~ spl52_83
| ~ spl52_96
| ~ spl52_306
| ~ spl52_308
| ~ spl52_310
| ~ spl52_325
| spl52_407 ),
inference(forward_demodulation,[],[f8687,f9011]) ).
fof(f9101,plain,
( ~ spl52_422
| ~ spl52_342
| spl52_381 ),
inference(avatar_split_clause,[],[f8987,f7636,f3978,f9098]) ).
fof(f9098,plain,
( spl52_422
<=> h4(e10) = op2(h4(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_422])]) ).
fof(f8987,plain,
( h4(e10) != op2(h4(e13),e23)
| ~ spl52_342
| spl52_381 ),
inference(forward_demodulation,[],[f7638,f3980]) ).
fof(f9095,plain,
( spl52_421
| ~ spl52_29
| ~ spl52_290
| ~ spl52_370 ),
inference(avatar_split_clause,[],[f8862,f7500,f2447,f1005,f9092]) ).
fof(f8862,plain,
( e23 = op2(h4(e13),h4(e13))
| ~ spl52_29
| ~ spl52_290
| ~ spl52_370 ),
inference(forward_demodulation,[],[f8861,f1007]) ).
fof(f8861,plain,
( h4(e12) = op2(h4(e13),h4(e13))
| ~ spl52_290
| ~ spl52_370 ),
inference(forward_demodulation,[],[f7501,f2449]) ).
fof(f9089,plain,
( spl52_420
| ~ spl52_346
| ~ spl52_351
| ~ spl52_362 ),
inference(avatar_split_clause,[],[f8854,f7468,f6156,f5149,f9086]) ).
fof(f8854,plain,
( h4(e13) = op2(e20,h4(e13))
| ~ spl52_346
| ~ spl52_351
| ~ spl52_362 ),
inference(forward_demodulation,[],[f8853,f6158]) ).
fof(f9082,plain,
( ~ spl52_419
| ~ spl52_291
| ~ spl52_346
| spl52_358 ),
inference(avatar_split_clause,[],[f8850,f7452,f5149,f2457,f9079]) ).
fof(f8850,plain,
( e20 != op2(h4(e10),h4(e13))
| ~ spl52_291
| ~ spl52_346
| spl52_358 ),
inference(forward_demodulation,[],[f8849,f5151]) ).
fof(f9075,plain,
( ~ spl52_418
| ~ spl52_342
| ~ spl52_346
| spl52_368 ),
inference(avatar_split_clause,[],[f8838,f7492,f5149,f3978,f9072]) ).
fof(f8838,plain,
( h4(e10) != op2(h4(e13),e20)
| ~ spl52_342
| ~ spl52_346
| spl52_368 ),
inference(forward_demodulation,[],[f7510,f3980]) ).
fof(f7510,plain,
( h4(op1(e13,e11)) != op2(h4(e13),e20)
| ~ spl52_346
| spl52_368 ),
inference(forward_demodulation,[],[f7494,f5151]) ).
fof(f9068,plain,
( ~ spl52_417
| ~ spl52_346
| ~ spl52_349
| spl52_356 ),
inference(avatar_split_clause,[],[f8835,f7444,f5923,f5149,f9065]) ).
fof(f8835,plain,
( h4(e13) != op2(h4(e10),e20)
| ~ spl52_346
| ~ spl52_349
| spl52_356 ),
inference(forward_demodulation,[],[f7553,f5925]) ).
fof(f7553,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e20)
| ~ spl52_346
| spl52_356 ),
inference(forward_demodulation,[],[f7446,f5151]) ).
fof(f9062,plain,
( ~ spl52_407
| ~ spl52_127
| spl52_357 ),
inference(avatar_split_clause,[],[f8830,f7448,f1461,f8686]) ).
fof(f8830,plain,
( h4(e10) != op2(h4(e10),e23)
| ~ spl52_127
| spl52_357 ),
inference(forward_demodulation,[],[f7450,f1463]) ).
fof(f9061,plain,
( ~ spl52_416
| ~ spl52_346
| spl52_410 ),
inference(avatar_split_clause,[],[f8829,f8726,f5149,f9058]) ).
fof(f8829,plain,
( h4(e10) != op2(e20,h4(e10))
| ~ spl52_346
| spl52_410 ),
inference(forward_demodulation,[],[f8728,f5151]) ).
fof(f9055,plain,
( ~ spl52_415
| ~ spl52_349
| spl52_371 ),
inference(avatar_split_clause,[],[f8489,f7596,f5923,f9052]) ).
fof(f8489,plain,
( h4(e13) != op2(h4(e10),e23)
| ~ spl52_349
| spl52_371 ),
inference(forward_demodulation,[],[f7598,f5925]) ).
fof(f9046,plain,
( spl52_325
| ~ spl52_83
| ~ spl52_328
| ~ spl52_413 ),
inference(avatar_split_clause,[],[f9031,f8955,f3108,f1254,f3096]) ).
fof(f9031,plain,
( e20 = op2(e23,e23)
| ~ spl52_83
| ~ spl52_328
| ~ spl52_413 ),
inference(forward_demodulation,[],[f8957,f3115]) ).
fof(f9030,plain,
( spl52_413
| ~ spl52_346
| ~ spl52_354
| ~ spl52_369 ),
inference(avatar_split_clause,[],[f8989,f7496,f6638,f5149,f8955]) ).
fof(f8989,plain,
( e20 = op2(h4(e13),e23)
| ~ spl52_346
| ~ spl52_354
| ~ spl52_369 ),
inference(forward_demodulation,[],[f8988,f5151]) ).
fof(f8988,plain,
( h4(e11) = op2(h4(e13),e23)
| ~ spl52_354
| ~ spl52_369 ),
inference(forward_demodulation,[],[f7497,f6640]) ).
fof(f9029,plain,
( spl52_328
| ~ spl52_29
| ~ spl52_295
| ~ spl52_375 ),
inference(avatar_split_clause,[],[f9024,f7612,f2482,f1005,f3108]) ).
fof(f9024,plain,
( e23 = op2(e23,e23)
| ~ spl52_29
| ~ spl52_295
| ~ spl52_375 ),
inference(forward_demodulation,[],[f9023,f1007]) ).
fof(f9023,plain,
( op2(e23,e23) = h4(e12)
| ~ spl52_29
| ~ spl52_295
| ~ spl52_375 ),
inference(forward_demodulation,[],[f9022,f2484]) ).
fof(f9022,plain,
( op2(e23,e23) = h4(op1(e11,e12))
| ~ spl52_29
| ~ spl52_375 ),
inference(forward_demodulation,[],[f7613,f1007]) ).
fof(f7613,plain,
( h4(op1(e11,e12)) = op2(e23,h4(e12))
| ~ spl52_375 ),
inference(avatar_component_clause,[],[f7612]) ).
fof(f9025,plain,
( ~ spl52_328
| ~ spl52_29
| ~ spl52_114
| spl52_378 ),
inference(avatar_split_clause,[],[f7666,f7624,f1402,f1005,f3108]) ).
fof(f7666,plain,
( e23 != op2(e23,e23)
| ~ spl52_29
| ~ spl52_114
| spl52_378 ),
inference(forward_demodulation,[],[f7665,f1007]) ).
fof(f7665,plain,
( op2(e23,e23) != h4(e12)
| ~ spl52_29
| ~ spl52_114
| spl52_378 ),
inference(forward_demodulation,[],[f7664,f1404]) ).
fof(f7664,plain,
( op2(e23,e23) != h4(op1(e12,e11))
| ~ spl52_29
| spl52_378 ),
inference(forward_demodulation,[],[f7626,f1007]) ).
fof(f7626,plain,
( h4(op1(e12,e11)) != op2(h4(e12),e23)
| spl52_378 ),
inference(avatar_component_clause,[],[f7624]) ).
fof(f9021,plain,
( ~ spl52_323
| ~ spl52_83
| ~ spl52_96
| ~ spl52_306
| ~ spl52_308
| ~ spl52_310
| ~ spl52_325
| spl52_413 ),
inference(avatar_split_clause,[],[f9020,f8955,f3096,f2609,f2597,f2568,f1318,f1254,f3041]) ).
fof(f9020,plain,
( e20 != op2(e20,e20)
| ~ spl52_83
| ~ spl52_96
| ~ spl52_306
| ~ spl52_308
| ~ spl52_310
| ~ spl52_325
| spl52_413 ),
inference(forward_demodulation,[],[f9019,f3886]) ).
fof(f9019,plain,
( e20 != op2(h4(e13),e20)
| ~ spl52_83
| ~ spl52_96
| ~ spl52_306
| ~ spl52_308
| ~ spl52_310
| ~ spl52_325
| spl52_413 ),
inference(forward_demodulation,[],[f8956,f9011]) ).
fof(f8956,plain,
( e20 != op2(h4(e13),e23)
| spl52_413 ),
inference(avatar_component_clause,[],[f8955]) ).
fof(f9018,plain,
( ~ spl52_413
| ~ spl52_29
| ~ spl52_346
| ~ spl52_354
| spl52_382 ),
inference(avatar_split_clause,[],[f8982,f7640,f6638,f5149,f1005,f8955]) ).
fof(f8982,plain,
( e20 != op2(h4(e13),e23)
| ~ spl52_29
| ~ spl52_346
| ~ spl52_354
| spl52_382 ),
inference(forward_demodulation,[],[f8981,f5151]) ).
fof(f8981,plain,
( h4(e11) != op2(h4(e13),e23)
| ~ spl52_29
| ~ spl52_354
| spl52_382 ),
inference(forward_demodulation,[],[f8976,f6640]) ).
fof(f8976,plain,
( h4(op1(e13,e12)) != op2(h4(e13),e23)
| ~ spl52_29
| spl52_382 ),
inference(forward_demodulation,[],[f7642,f1007]) ).
fof(f9017,plain,
( ~ spl52_414
| ~ spl52_94
| ~ spl52_96
| ~ spl52_300
| ~ spl52_310
| spl52_412 ),
inference(avatar_split_clause,[],[f8953,f8948,f2609,f2518,f1318,f1309,f9014]) ).
fof(f2518,plain,
( spl52_300
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_300])]) ).
fof(f8953,plain,
( e20 != op2(h4(e10),e20)
| ~ spl52_94
| ~ spl52_96
| ~ spl52_300
| ~ spl52_310
| spl52_412 ),
inference(forward_demodulation,[],[f8952,f3013]) ).
fof(f8952,plain,
( e20 != op2(h4(e10),e21)
| ~ spl52_94
| ~ spl52_300
| spl52_412 ),
inference(forward_demodulation,[],[f8950,f4320]) ).
fof(f4320,plain,
( e21 = e22
| ~ spl52_94
| ~ spl52_300 ),
inference(superposition,[],[f1311,f2520]) ).
fof(f2520,plain,
( e22 = op2(e21,e23)
| ~ spl52_300 ),
inference(avatar_component_clause,[],[f2518]) ).
fof(f9001,plain,
( ~ spl52_328
| ~ spl52_29
| ~ spl52_295
| spl52_375 ),
inference(avatar_split_clause,[],[f7676,f7612,f2482,f1005,f3108]) ).
fof(f8980,plain,
( spl52_100
| ~ spl52_83
| ~ spl52_96
| ~ spl52_310
| ~ spl52_326
| ~ spl52_346
| ~ spl52_354
| ~ spl52_369 ),
inference(avatar_split_clause,[],[f8965,f7496,f6638,f5149,f3100,f2609,f1318,f1254,f1336]) ).
fof(f1336,plain,
( spl52_100
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_100])]) ).
fof(f3100,plain,
( spl52_326
<=> e21 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_326])]) ).
fof(f8965,plain,
( e20 = op2(e20,e23)
| ~ spl52_83
| ~ spl52_96
| ~ spl52_310
| ~ spl52_326
| ~ spl52_346
| ~ spl52_354
| ~ spl52_369 ),
inference(forward_demodulation,[],[f8964,f3013]) ).
fof(f8964,plain,
( e20 = op2(e21,e23)
| ~ spl52_83
| ~ spl52_326
| ~ spl52_346
| ~ spl52_354
| ~ spl52_369 ),
inference(forward_demodulation,[],[f8963,f5151]) ).
fof(f8963,plain,
( op2(e21,e23) = h4(e11)
| ~ spl52_83
| ~ spl52_326
| ~ spl52_354
| ~ spl52_369 ),
inference(forward_demodulation,[],[f8962,f6640]) ).
fof(f8962,plain,
( op2(e21,e23) = h4(op1(e13,e12))
| ~ spl52_83
| ~ spl52_326
| ~ spl52_369 ),
inference(forward_demodulation,[],[f7497,f4306]) ).
fof(f4306,plain,
( e21 = h4(e13)
| ~ spl52_83
| ~ spl52_326 ),
inference(superposition,[],[f1256,f3102]) ).
fof(f3102,plain,
( e21 = op2(e23,e23)
| ~ spl52_326 ),
inference(avatar_component_clause,[],[f3100]) ).
fof(f8961,plain,
( spl52_100
| ~ spl52_83
| ~ spl52_96
| ~ spl52_310
| ~ spl52_326
| ~ spl52_413 ),
inference(avatar_split_clause,[],[f8960,f8955,f3100,f2609,f1318,f1254,f1336]) ).
fof(f8960,plain,
( e20 = op2(e20,e23)
| ~ spl52_83
| ~ spl52_96
| ~ spl52_310
| ~ spl52_326
| ~ spl52_413 ),
inference(forward_demodulation,[],[f8959,f3013]) ).
fof(f8959,plain,
( e20 = op2(e21,e23)
| ~ spl52_83
| ~ spl52_326
| ~ spl52_413 ),
inference(forward_demodulation,[],[f8957,f4306]) ).
fof(f8958,plain,
( spl52_413
| ~ spl52_29
| ~ spl52_346
| ~ spl52_354
| ~ spl52_382 ),
inference(avatar_split_clause,[],[f8841,f7640,f6638,f5149,f1005,f8955]) ).
fof(f8951,plain,
( ~ spl52_412
| ~ spl52_346
| spl52_406 ),
inference(avatar_split_clause,[],[f8833,f8679,f5149,f8948]) ).
fof(f8833,plain,
( e20 != op2(h4(e10),e22)
| ~ spl52_346
| spl52_406 ),
inference(forward_demodulation,[],[f8681,f5151]) ).
fof(f8945,plain,
( ~ spl52_277
| ~ spl52_29
| ~ spl52_114
| ~ spl52_346
| spl52_364 ),
inference(avatar_split_clause,[],[f8639,f7476,f5149,f1402,f1005,f2295]) ).
fof(f8639,plain,
( e23 != op2(e23,e20)
| ~ spl52_29
| ~ spl52_114
| ~ spl52_346
| spl52_364 ),
inference(forward_demodulation,[],[f8638,f1007]) ).
fof(f8638,plain,
( op2(e23,e20) != h4(e12)
| ~ spl52_114
| ~ spl52_346
| spl52_364 ),
inference(forward_demodulation,[],[f8637,f1404]) ).
fof(f8637,plain,
( op2(e23,e20) != h4(op1(e12,e11))
| ~ spl52_346
| spl52_364 ),
inference(forward_demodulation,[],[f7478,f5151]) ).
fof(f7478,plain,
( h4(op1(e12,e11)) != op2(e23,h4(e11))
| spl52_364 ),
inference(avatar_component_clause,[],[f7476]) ).
fof(f8943,plain,
( spl52_308
| ~ spl52_54
| ~ spl52_270
| ~ spl52_342
| ~ spl52_397 ),
inference(avatar_split_clause,[],[f7833,f7758,f3978,f2244,f1118,f2597]) ).
fof(f7833,plain,
( e20 = op2(e23,e21)
| ~ spl52_54
| ~ spl52_270
| ~ spl52_342
| ~ spl52_397 ),
inference(forward_demodulation,[],[f7832,f1119]) ).
fof(f7832,plain,
( op2(e23,e21) = h3(e10)
| ~ spl52_270
| ~ spl52_342
| ~ spl52_397 ),
inference(forward_demodulation,[],[f7831,f3980]) ).
fof(f7831,plain,
( op2(e23,e21) = h3(op1(e13,e11))
| ~ spl52_270
| ~ spl52_397 ),
inference(forward_demodulation,[],[f7759,f2246]) ).
fof(f8940,plain,
( spl52_306
| ~ spl52_32
| ~ spl52_270
| ~ spl52_354
| ~ spl52_398 ),
inference(avatar_split_clause,[],[f7829,f7762,f6638,f2244,f1020,f2568]) ).
fof(f7829,plain,
( e21 = op2(e23,e22)
| ~ spl52_32
| ~ spl52_270
| ~ spl52_354
| ~ spl52_398 ),
inference(forward_demodulation,[],[f7828,f2246]) ).
fof(f7828,plain,
( op2(e23,e22) = h3(e11)
| ~ spl52_32
| ~ spl52_354
| ~ spl52_398 ),
inference(forward_demodulation,[],[f7827,f6640]) ).
fof(f8936,plain,
( spl52_327
| ~ spl52_32
| ~ spl52_290
| ~ spl52_399 ),
inference(avatar_split_clause,[],[f7825,f7766,f2447,f1020,f3104]) ).
fof(f8934,plain,
( ~ spl52_411
| ~ spl52_254
| ~ spl52_351
| spl52_376 ),
inference(avatar_split_clause,[],[f7672,f7616,f6156,f2133,f8931]) ).
fof(f8931,plain,
( spl52_411
<=> h4(e10) = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_411])]) ).
fof(f7672,plain,
( h4(e10) != h4(e13)
| ~ spl52_254
| ~ spl52_351
| spl52_376 ),
inference(forward_demodulation,[],[f7671,f6158]) ).
fof(f8827,plain,
( spl52_4
| spl52_6
| spl52_2
| ~ spl52_77
| ~ spl52_260
| ~ spl52_307
| ~ spl52_316 ),
inference(avatar_split_clause,[],[f8630,f2816,f2593,f2180,f1224,f870,f890,f880]) ).
fof(f2593,plain,
( spl52_307
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_307])]) ).
fof(f8630,plain,
( e20 = e22
| e22 = e23
| e21 = e22
| ~ spl52_77
| ~ spl52_260
| ~ spl52_307
| ~ spl52_316 ),
inference(duplicate_literal_removal,[],[f8629]) ).
fof(f8629,plain,
( e20 = e22
| e22 = e23
| e21 = e22
| e20 = e22
| ~ spl52_77
| ~ spl52_260
| ~ spl52_307
| ~ spl52_316 ),
inference(forward_demodulation,[],[f4189,f2595]) ).
fof(f2595,plain,
( e20 = op2(e23,e20)
| ~ spl52_307 ),
inference(avatar_component_clause,[],[f2593]) ).
fof(f4189,plain,
( e22 = e23
| e21 = e22
| e20 = e22
| e22 = op2(e23,e20)
| ~ spl52_77
| ~ spl52_260
| ~ spl52_316 ),
inference(forward_demodulation,[],[f4188,f2818]) ).
fof(f4188,plain,
( e21 = e22
| e20 = e22
| e22 = op2(e23,e20)
| e22 = op2(e21,e20)
| ~ spl52_77
| ~ spl52_260 ),
inference(forward_demodulation,[],[f4173,f2182]) ).
fof(f4173,plain,
( e20 = e22
| e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| ~ spl52_77 ),
inference(forward_demodulation,[],[f743,f1225]) ).
fof(f743,plain,
( e22 = h1(e13)
| e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20) ),
inference(forward_demodulation,[],[f343,f227]) ).
fof(f227,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( op2(e20,e20) = h1(e13)
& h1(e11) = op2(e20,op2(e20,op2(e20,e20)))
& h1(e10) = op2(e20,op2(e20,e20))
& e20 = h1(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f343,plain,
( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f8776,plain,
( spl52_6
| ~ spl52_316
| ~ spl52_322 ),
inference(avatar_split_clause,[],[f8765,f3020,f2816,f890]) ).
fof(f8765,plain,
( e22 = e23
| ~ spl52_316
| ~ spl52_322 ),
inference(superposition,[],[f3022,f2818]) ).
fof(f3022,plain,
( e22 = op2(e21,e20)
| ~ spl52_322 ),
inference(avatar_component_clause,[],[f3020]) ).
fof(f8775,plain,
( ~ spl52_86
| ~ spl52_268
| spl52_331 ),
inference(avatar_split_clause,[],[f4449,f3331,f2231,f1270]) ).
fof(f3331,plain,
( spl52_331
<=> e21 = op2(e21,h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_331])]) ).
fof(f4449,plain,
( e21 != op2(e21,e21)
| ~ spl52_268
| spl52_331 ),
inference(forward_demodulation,[],[f3332,f2233]) ).
fof(f3332,plain,
( e21 != op2(e21,h2(e11))
| spl52_331 ),
inference(avatar_component_clause,[],[f3331]) ).
fof(f8729,plain,
( ~ spl52_410
| ~ spl52_169
| spl52_359 ),
inference(avatar_split_clause,[],[f8503,f7456,f1687,f8726]) ).
fof(f8503,plain,
( h4(e10) != op2(h4(e11),h4(e10))
| ~ spl52_169
| spl52_359 ),
inference(forward_demodulation,[],[f7458,f1688]) ).
fof(f8723,plain,
( spl52_409
| ~ spl52_104
| ~ spl52_360 ),
inference(avatar_split_clause,[],[f8421,f7460,f1355,f8720]) ).
fof(f8421,plain,
( h4(e11) = op2(h4(e11),h4(e11))
| ~ spl52_104
| ~ spl52_360 ),
inference(forward_demodulation,[],[f7461,f1357]) ).
fof(f8717,plain,
( spl52_408
| ~ spl52_29
| ~ spl52_333
| ~ spl52_355 ),
inference(avatar_split_clause,[],[f8498,f7440,f3484,f1005,f8714]) ).
fof(f8498,plain,
( e23 = op2(h4(e10),h4(e10))
| ~ spl52_29
| ~ spl52_333
| ~ spl52_355 ),
inference(forward_demodulation,[],[f8497,f1007]) ).
fof(f8497,plain,
( h4(e12) = op2(h4(e10),h4(e10))
| ~ spl52_333
| ~ spl52_355 ),
inference(forward_demodulation,[],[f7441,f3486]) ).
fof(f8708,plain,
( spl52_2
| ~ spl52_127
| ~ spl52_166
| ~ spl52_254
| ~ spl52_287
| ~ spl52_301
| ~ spl52_357 ),
inference(avatar_split_clause,[],[f8696,f7448,f2522,f2428,f2133,f1668,f1461,f870]) ).
fof(f2428,plain,
( spl52_287
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_287])]) ).
fof(f8696,plain,
( e20 = e22
| ~ spl52_127
| ~ spl52_166
| ~ spl52_254
| ~ spl52_287
| ~ spl52_301
| ~ spl52_357 ),
inference(forward_demodulation,[],[f8695,f1670]) ).
fof(f8695,plain,
( e22 = op2(e22,e23)
| ~ spl52_127
| ~ spl52_254
| ~ spl52_287
| ~ spl52_301
| ~ spl52_357 ),
inference(forward_demodulation,[],[f8694,f3404]) ).
fof(f3404,plain,
( e22 = h4(e10)
| ~ spl52_254
| ~ spl52_287
| ~ spl52_301 ),
inference(forward_demodulation,[],[f2729,f2430]) ).
fof(f2430,plain,
( e22 = op2(e23,e22)
| ~ spl52_287 ),
inference(avatar_component_clause,[],[f2428]) ).
fof(f2729,plain,
( op2(e23,e22) = h4(e10)
| ~ spl52_254
| ~ spl52_301 ),
inference(superposition,[],[f2135,f2524]) ).
fof(f8694,plain,
( op2(e22,e23) = h4(e10)
| ~ spl52_127
| ~ spl52_254
| ~ spl52_287
| ~ spl52_301
| ~ spl52_357 ),
inference(forward_demodulation,[],[f8693,f1463]) ).
fof(f8693,plain,
( op2(e22,e23) = h4(op1(e10,e12))
| ~ spl52_254
| ~ spl52_287
| ~ spl52_301
| ~ spl52_357 ),
inference(forward_demodulation,[],[f7449,f3404]) ).
fof(f7449,plain,
( h4(op1(e10,e12)) = op2(h4(e10),e23)
| ~ spl52_357 ),
inference(avatar_component_clause,[],[f7448]) ).
fof(f8692,plain,
( spl52_2
| ~ spl52_166
| ~ spl52_254
| ~ spl52_287
| ~ spl52_301
| ~ spl52_407 ),
inference(avatar_split_clause,[],[f8691,f8686,f2522,f2428,f2133,f1668,f870]) ).
fof(f8691,plain,
( e20 = e22
| ~ spl52_166
| ~ spl52_254
| ~ spl52_287
| ~ spl52_301
| ~ spl52_407 ),
inference(forward_demodulation,[],[f8690,f1670]) ).
fof(f8690,plain,
( e22 = op2(e22,e23)
| ~ spl52_254
| ~ spl52_287
| ~ spl52_301
| ~ spl52_407 ),
inference(forward_demodulation,[],[f8688,f3404]) ).
fof(f8689,plain,
( spl52_407
| ~ spl52_29
| ~ spl52_127
| ~ spl52_372 ),
inference(avatar_split_clause,[],[f8495,f7600,f1461,f1005,f8686]) ).
fof(f8495,plain,
( h4(e10) = op2(h4(e10),e23)
| ~ spl52_29
| ~ spl52_127
| ~ spl52_372 ),
inference(forward_demodulation,[],[f8208,f1463]) ).
fof(f8208,plain,
( h4(op1(e10,e12)) = op2(h4(e10),e23)
| ~ spl52_29
| ~ spl52_372 ),
inference(forward_demodulation,[],[f7601,f1007]) ).
fof(f8682,plain,
( ~ spl52_406
| ~ spl52_291
| ~ spl52_301
| spl52_358 ),
inference(avatar_split_clause,[],[f8419,f7452,f2522,f2457,f8679]) ).
fof(f8419,plain,
( h4(e11) != op2(h4(e10),e22)
| ~ spl52_291
| ~ spl52_301
| spl52_358 ),
inference(forward_demodulation,[],[f8412,f2459]) ).
fof(f8675,plain,
( ~ spl52_405
| ~ spl52_301
| ~ spl52_349
| spl52_371 ),
inference(avatar_split_clause,[],[f8490,f7596,f5923,f2522,f8672]) ).
fof(f8672,plain,
( spl52_405
<=> e22 = op2(h4(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_405])]) ).
fof(f8490,plain,
( e22 != op2(h4(e10),e23)
| ~ spl52_301
| ~ spl52_349
| spl52_371 ),
inference(forward_demodulation,[],[f8489,f2524]) ).
fof(f8663,plain,
( spl52_6
| ~ spl52_67
| ~ spl52_254
| ~ spl52_287
| ~ spl52_301
| ~ spl52_404 ),
inference(avatar_split_clause,[],[f8662,f8657,f2522,f2428,f2133,f1177,f890]) ).
fof(f8662,plain,
( e22 = e23
| ~ spl52_67
| ~ spl52_254
| ~ spl52_287
| ~ spl52_301
| ~ spl52_404 ),
inference(forward_demodulation,[],[f8661,f1179]) ).
fof(f8661,plain,
( e22 = op2(e22,e22)
| ~ spl52_254
| ~ spl52_287
| ~ spl52_301
| ~ spl52_404 ),
inference(forward_demodulation,[],[f8659,f3404]) ).
fof(f8660,plain,
( spl52_404
| ~ spl52_112
| ~ spl52_301
| ~ spl52_367 ),
inference(avatar_split_clause,[],[f8487,f7488,f2522,f1393,f8657]) ).
fof(f8487,plain,
( e22 = op2(e22,h4(e10))
| ~ spl52_112
| ~ spl52_301
| ~ spl52_367 ),
inference(forward_demodulation,[],[f8486,f2524]) ).
fof(f8486,plain,
( h4(e13) = op2(e22,h4(e10))
| ~ spl52_112
| ~ spl52_301
| ~ spl52_367 ),
inference(forward_demodulation,[],[f8485,f1395]) ).
fof(f8654,plain,
( spl52_403
| ~ spl52_301
| ~ spl52_351
| ~ spl52_362 ),
inference(avatar_split_clause,[],[f8425,f7468,f6156,f2522,f8651]) ).
fof(f8425,plain,
( e22 = op2(h4(e11),e22)
| ~ spl52_301
| ~ spl52_351
| ~ spl52_362 ),
inference(forward_demodulation,[],[f8424,f2524]) ).
fof(f8424,plain,
( h4(e13) = op2(h4(e11),e22)
| ~ spl52_301
| ~ spl52_351
| ~ spl52_362 ),
inference(forward_demodulation,[],[f8180,f6158]) ).
fof(f8648,plain,
( spl52_402
| ~ spl52_29
| ~ spl52_295
| ~ spl52_361 ),
inference(avatar_split_clause,[],[f8423,f7464,f2482,f1005,f8645]) ).
fof(f8423,plain,
( e23 = op2(h4(e11),e23)
| ~ spl52_29
| ~ spl52_295
| ~ spl52_361 ),
inference(forward_demodulation,[],[f8422,f1007]) ).
fof(f8422,plain,
( h4(e12) = op2(h4(e11),e23)
| ~ spl52_295
| ~ spl52_361 ),
inference(forward_demodulation,[],[f7465,f2484]) ).
fof(f8624,plain,
( spl52_3
| ~ spl52_29
| ~ spl52_114
| ~ spl52_307
| ~ spl52_346
| ~ spl52_364 ),
inference(avatar_split_clause,[],[f8589,f7476,f5149,f2593,f1402,f1005,f875]) ).
fof(f8589,plain,
( e20 = e23
| ~ spl52_29
| ~ spl52_114
| ~ spl52_307
| ~ spl52_346
| ~ spl52_364 ),
inference(forward_demodulation,[],[f8567,f2595]) ).
fof(f8567,plain,
( e23 = op2(e23,e20)
| ~ spl52_29
| ~ spl52_114
| ~ spl52_346
| ~ spl52_364 ),
inference(forward_demodulation,[],[f8566,f1007]) ).
fof(f8566,plain,
( op2(e23,e20) = h4(e12)
| ~ spl52_114
| ~ spl52_346
| ~ spl52_364 ),
inference(forward_demodulation,[],[f7584,f1404]) ).
fof(f7584,plain,
( op2(e23,e20) = h4(op1(e12,e11))
| ~ spl52_346
| ~ spl52_364 ),
inference(forward_demodulation,[],[f7477,f5151]) ).
fof(f8588,plain,
( spl52_277
| ~ spl52_54
| ~ spl52_88
| ~ spl52_112
| ~ spl52_396 ),
inference(avatar_split_clause,[],[f7837,f7754,f1393,f1281,f1118,f2295]) ).
fof(f7837,plain,
( e23 = op2(e23,e20)
| ~ spl52_54
| ~ spl52_88
| ~ spl52_112
| ~ spl52_396 ),
inference(forward_demodulation,[],[f7836,f1283]) ).
fof(f7836,plain,
( op2(e23,e20) = h3(e13)
| ~ spl52_54
| ~ spl52_112
| ~ spl52_396 ),
inference(forward_demodulation,[],[f7835,f1395]) ).
fof(f8587,plain,
( spl52_346
| ~ spl52_29
| ~ spl52_166
| ~ spl52_301
| ~ spl52_354
| ~ spl52_382 ),
inference(avatar_split_clause,[],[f8426,f7640,f6638,f2522,f1668,f1005,f5149]) ).
fof(f8577,plain,
( spl52_4
| ~ spl52_29
| ~ spl52_166
| ~ spl52_254
| ~ spl52_260
| ~ spl52_287
| ~ spl52_301
| ~ spl52_349
| ~ spl52_354
| ~ spl52_356
| ~ spl52_382 ),
inference(avatar_split_clause,[],[f8541,f7640,f7444,f6638,f5923,f2522,f2428,f2180,f2133,f1668,f1005,f880]) ).
fof(f8541,plain,
( e21 = e22
| ~ spl52_29
| ~ spl52_166
| ~ spl52_254
| ~ spl52_260
| ~ spl52_287
| ~ spl52_301
| ~ spl52_349
| ~ spl52_354
| ~ spl52_356
| ~ spl52_382 ),
inference(forward_demodulation,[],[f8540,f2182]) ).
fof(f8540,plain,
( e22 = op2(e22,e20)
| ~ spl52_29
| ~ spl52_166
| ~ spl52_254
| ~ spl52_287
| ~ spl52_301
| ~ spl52_349
| ~ spl52_354
| ~ spl52_356
| ~ spl52_382 ),
inference(forward_demodulation,[],[f8539,f2524]) ).
fof(f8539,plain,
( op2(e22,e20) = h4(e13)
| ~ spl52_29
| ~ spl52_166
| ~ spl52_254
| ~ spl52_287
| ~ spl52_301
| ~ spl52_349
| ~ spl52_354
| ~ spl52_356
| ~ spl52_382 ),
inference(forward_demodulation,[],[f8538,f5925]) ).
fof(f8538,plain,
( op2(e22,e20) = h4(op1(e10,e11))
| ~ spl52_29
| ~ spl52_166
| ~ spl52_254
| ~ spl52_287
| ~ spl52_301
| ~ spl52_354
| ~ spl52_356
| ~ spl52_382 ),
inference(forward_demodulation,[],[f8445,f3404]) ).
fof(f8445,plain,
( h4(op1(e10,e11)) = op2(h4(e10),e20)
| ~ spl52_29
| ~ spl52_166
| ~ spl52_301
| ~ spl52_354
| ~ spl52_356
| ~ spl52_382 ),
inference(forward_demodulation,[],[f7445,f8426]) ).
fof(f8536,plain,
( spl52_346
| ~ spl52_166
| ~ spl52_301
| ~ spl52_354
| ~ spl52_369 ),
inference(avatar_split_clause,[],[f8504,f7496,f6638,f2522,f1668,f5149]) ).
fof(f8504,plain,
( e20 = h4(e11)
| ~ spl52_166
| ~ spl52_301
| ~ spl52_354
| ~ spl52_369 ),
inference(forward_demodulation,[],[f7569,f1670]) ).
fof(f7569,plain,
( op2(e22,e23) = h4(e11)
| ~ spl52_301
| ~ spl52_354
| ~ spl52_369 ),
inference(forward_demodulation,[],[f7568,f6640]) ).
fof(f8530,plain,
( spl52_4
| ~ spl52_166
| ~ spl52_254
| ~ spl52_260
| ~ spl52_287
| ~ spl52_301
| ~ spl52_342
| ~ spl52_354
| ~ spl52_368
| ~ spl52_369 ),
inference(avatar_split_clause,[],[f8509,f7496,f7492,f6638,f3978,f2522,f2428,f2180,f2133,f1668,f880]) ).
fof(f8509,plain,
( e21 = e22
| ~ spl52_166
| ~ spl52_254
| ~ spl52_260
| ~ spl52_287
| ~ spl52_301
| ~ spl52_342
| ~ spl52_354
| ~ spl52_368
| ~ spl52_369 ),
inference(forward_demodulation,[],[f8508,f2182]) ).
fof(f8508,plain,
( e22 = op2(e22,e20)
| ~ spl52_166
| ~ spl52_254
| ~ spl52_287
| ~ spl52_301
| ~ spl52_342
| ~ spl52_354
| ~ spl52_368
| ~ spl52_369 ),
inference(forward_demodulation,[],[f8507,f3404]) ).
fof(f8507,plain,
( op2(e22,e20) = h4(e10)
| ~ spl52_166
| ~ spl52_301
| ~ spl52_342
| ~ spl52_354
| ~ spl52_368
| ~ spl52_369 ),
inference(forward_demodulation,[],[f8506,f3980]) ).
fof(f8506,plain,
( op2(e22,e20) = h4(op1(e13,e11))
| ~ spl52_166
| ~ spl52_301
| ~ spl52_354
| ~ spl52_368
| ~ spl52_369 ),
inference(forward_demodulation,[],[f8505,f2524]) ).
fof(f8505,plain,
( h4(op1(e13,e11)) = op2(h4(e13),e20)
| ~ spl52_166
| ~ spl52_301
| ~ spl52_354
| ~ spl52_368
| ~ spl52_369 ),
inference(forward_demodulation,[],[f7493,f8504]) ).
fof(f8481,plain,
( spl52_346
| ~ spl52_29
| ~ spl52_166
| ~ spl52_301
| ~ spl52_354
| ~ spl52_382 ),
inference(avatar_split_clause,[],[f8426,f7640,f6638,f2522,f1668,f1005,f5149]) ).
fof(f8470,plain,
( spl52_4
| ~ spl52_32
| ~ spl52_270
| ~ spl52_287
| ~ spl52_354
| ~ spl52_398 ),
inference(avatar_split_clause,[],[f8344,f7762,f6638,f2428,f2244,f1020,f880]) ).
fof(f8344,plain,
( e21 = e22
| ~ spl52_32
| ~ spl52_270
| ~ spl52_287
| ~ spl52_354
| ~ spl52_398 ),
inference(forward_demodulation,[],[f2430,f7829]) ).
fof(f8418,plain,
( spl52_1
| ~ spl52_46
| ~ spl52_156
| ~ spl52_166
| ~ spl52_264
| ~ spl52_301
| ~ spl52_354
| ~ spl52_369 ),
inference(avatar_split_clause,[],[f8373,f7496,f6638,f2522,f2207,f1668,f1615,f1082,f865]) ).
fof(f1615,plain,
( spl52_156
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_156])]) ).
fof(f8373,plain,
( e20 = e21
| ~ spl52_46
| ~ spl52_156
| ~ spl52_166
| ~ spl52_264
| ~ spl52_301
| ~ spl52_354
| ~ spl52_369 ),
inference(forward_demodulation,[],[f8372,f1670]) ).
fof(f8372,plain,
( e21 = op2(e22,e23)
| ~ spl52_46
| ~ spl52_156
| ~ spl52_264
| ~ spl52_301
| ~ spl52_354
| ~ spl52_369 ),
inference(forward_demodulation,[],[f7569,f8369]) ).
fof(f8369,plain,
( e21 = h4(e11)
| ~ spl52_46
| ~ spl52_156
| ~ spl52_264 ),
inference(forward_demodulation,[],[f4956,f1616]) ).
fof(f1616,plain,
( e21 = op2(e23,e21)
| ~ spl52_156 ),
inference(avatar_component_clause,[],[f1615]) ).
fof(f4956,plain,
( op2(e23,e21) = h4(e11)
| ~ spl52_46
| ~ spl52_264 ),
inference(superposition,[],[f2209,f1083]) ).
fof(f8358,plain,
( spl52_346
| ~ spl52_46
| ~ spl52_291
| ~ spl52_301
| ~ spl52_310
| ~ spl52_358 ),
inference(avatar_split_clause,[],[f8303,f7452,f2609,f2522,f2457,f1082,f5149]) ).
fof(f8303,plain,
( e20 = h4(e11)
| ~ spl52_46
| ~ spl52_291
| ~ spl52_301
| ~ spl52_310
| ~ spl52_358 ),
inference(forward_demodulation,[],[f8200,f2610]) ).
fof(f8200,plain,
( op2(e21,e22) = h4(e11)
| ~ spl52_46
| ~ spl52_291
| ~ spl52_301
| ~ spl52_358 ),
inference(forward_demodulation,[],[f8199,f2459]) ).
fof(f8199,plain,
( op2(e21,e22) = h4(op1(e10,e13))
| ~ spl52_46
| ~ spl52_301
| ~ spl52_358 ),
inference(forward_demodulation,[],[f8198,f1083]) ).
fof(f8198,plain,
( h4(op1(e10,e13)) = op2(h4(e10),e22)
| ~ spl52_301
| ~ spl52_358 ),
inference(forward_demodulation,[],[f7453,f2524]) ).
fof(f8351,plain,
( spl52_1
| ~ spl52_54
| ~ spl52_156
| ~ spl52_270
| ~ spl52_342
| ~ spl52_397 ),
inference(avatar_split_clause,[],[f8350,f7758,f3978,f2244,f1615,f1118,f865]) ).
fof(f8350,plain,
( e20 = e21
| ~ spl52_54
| ~ spl52_156
| ~ spl52_270
| ~ spl52_342
| ~ spl52_397 ),
inference(forward_demodulation,[],[f1616,f7833]) ).
fof(f8292,plain,
( ~ spl52_43
| ~ spl52_301 ),
inference(avatar_split_clause,[],[f8291,f2522,f1069]) ).
fof(f1069,plain,
( spl52_43
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_43])]) ).
fof(f8291,plain,
( ~ sP11
| ~ spl52_301 ),
inference(trivial_inequality_removal,[],[f8290]) ).
fof(f8290,plain,
( e22 != e22
| ~ sP11
| ~ spl52_301 ),
inference(forward_demodulation,[],[f131,f2524]) ).
fof(f131,plain,
( e22 != h4(e13)
| ~ sP11 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP11 ),
inference(nnf_transformation,[],[f32]) ).
fof(f8287,plain,
( ~ spl52_47
| ~ spl52_346 ),
inference(avatar_split_clause,[],[f8283,f5149,f1087]) ).
fof(f1087,plain,
( spl52_47
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_47])]) ).
fof(f8283,plain,
( ~ sP9
| ~ spl52_346 ),
inference(trivial_inequality_removal,[],[f8282]) ).
fof(f8282,plain,
( e20 != e20
| ~ sP9
| ~ spl52_346 ),
inference(forward_demodulation,[],[f137,f5151]) ).
fof(f137,plain,
( e20 != h4(e11)
| ~ sP9 ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP9 ),
inference(nnf_transformation,[],[f30]) ).
fof(f8281,plain,
( ~ spl52_293
| ~ spl52_85
| spl52_401 ),
inference(avatar_split_clause,[],[f8254,f8233,f1264,f2466]) ).
fof(f8254,plain,
( e23 != h2(e13)
| ~ spl52_85
| spl52_401 ),
inference(superposition,[],[f8235,f1266]) ).
fof(f8247,plain,
( spl52_304
| ~ spl52_54
| ~ spl52_270
| ~ spl52_291
| ~ spl52_387 ),
inference(avatar_split_clause,[],[f7877,f7718,f2457,f2244,f1118,f2552]) ).
fof(f8237,plain,
( spl52_312
| ~ spl52_54
| ~ spl52_169
| ~ spl52_270
| ~ spl52_388 ),
inference(avatar_split_clause,[],[f7873,f7722,f2244,f1687,f1118,f2619]) ).
fof(f8236,plain,
( ~ spl52_401
| ~ spl52_29
| ~ spl52_46
| ~ spl52_333
| spl52_355 ),
inference(avatar_split_clause,[],[f7559,f7440,f3484,f1082,f1005,f8233]) ).
fof(f7559,plain,
( e23 != op2(e21,e21)
| ~ spl52_29
| ~ spl52_46
| ~ spl52_333
| spl52_355 ),
inference(forward_demodulation,[],[f7558,f1007]) ).
fof(f7558,plain,
( op2(e21,e21) != h4(e12)
| ~ spl52_46
| ~ spl52_333
| spl52_355 ),
inference(forward_demodulation,[],[f7557,f3486]) ).
fof(f7557,plain,
( op2(e21,e21) != h4(op1(e10,e10))
| ~ spl52_46
| spl52_355 ),
inference(forward_demodulation,[],[f7442,f1083]) ).
fof(f8226,plain,
( spl52_86
| ~ spl52_104
| ~ spl52_270
| ~ spl52_389 ),
inference(avatar_split_clause,[],[f7868,f7726,f2244,f1355,f1270]) ).
fof(f8216,plain,
( spl52_286
| ~ spl52_32
| ~ spl52_270
| ~ spl52_295
| ~ spl52_390 ),
inference(avatar_split_clause,[],[f7864,f7730,f2482,f2244,f1020,f2424]) ).
fof(f7864,plain,
( e22 = op2(e21,e22)
| ~ spl52_32
| ~ spl52_270
| ~ spl52_295
| ~ spl52_390 ),
inference(forward_demodulation,[],[f7863,f1022]) ).
fof(f7863,plain,
( op2(e21,e22) = h3(e12)
| ~ spl52_32
| ~ spl52_270
| ~ spl52_295
| ~ spl52_390 ),
inference(forward_demodulation,[],[f7862,f2484]) ).
fof(f7862,plain,
( op2(e21,e22) = h3(op1(e11,e12))
| ~ spl52_32
| ~ spl52_270
| ~ spl52_390 ),
inference(forward_demodulation,[],[f7861,f2246]) ).
fof(f7861,plain,
( h3(op1(e11,e12)) = op2(h3(e11),e22)
| ~ spl52_32
| ~ spl52_390 ),
inference(forward_demodulation,[],[f7731,f1022]) ).
fof(f8212,plain,
( ~ spl52_94
| ~ spl52_46
| ~ spl52_127
| spl52_357 ),
inference(avatar_split_clause,[],[f7552,f7448,f1461,f1082,f1309]) ).
fof(f7552,plain,
( e21 != op2(e21,e23)
| ~ spl52_46
| ~ spl52_127
| spl52_357 ),
inference(forward_demodulation,[],[f7551,f1083]) ).
fof(f7551,plain,
( op2(e21,e23) != h4(e10)
| ~ spl52_46
| ~ spl52_127
| spl52_357 ),
inference(forward_demodulation,[],[f7550,f1463]) ).
fof(f8207,plain,
( ~ spl52_94
| ~ spl52_29
| ~ spl52_46
| ~ spl52_127
| spl52_372 ),
inference(avatar_split_clause,[],[f7685,f7600,f1461,f1082,f1005,f1309]) ).
fof(f7685,plain,
( e21 != op2(e21,e23)
| ~ spl52_29
| ~ spl52_46
| ~ spl52_127
| spl52_372 ),
inference(forward_demodulation,[],[f7684,f1083]) ).
fof(f7684,plain,
( op2(e21,e23) != h4(e10)
| ~ spl52_29
| ~ spl52_46
| ~ spl52_127
| spl52_372 ),
inference(forward_demodulation,[],[f7683,f1463]) ).
fof(f8202,plain,
( ~ spl52_322
| ~ spl52_46
| ~ spl52_301
| ~ spl52_346
| ~ spl52_349
| spl52_356 ),
inference(avatar_split_clause,[],[f7556,f7444,f5923,f5149,f2522,f1082,f3020]) ).
fof(f7556,plain,
( e22 != op2(e21,e20)
| ~ spl52_46
| ~ spl52_301
| ~ spl52_346
| ~ spl52_349
| spl52_356 ),
inference(forward_demodulation,[],[f7555,f2524]) ).
fof(f7555,plain,
( op2(e21,e20) != h4(e13)
| ~ spl52_46
| ~ spl52_346
| ~ spl52_349
| spl52_356 ),
inference(forward_demodulation,[],[f7554,f5925]) ).
fof(f7554,plain,
( op2(e21,e20) != h4(op1(e10,e11))
| ~ spl52_46
| ~ spl52_346
| spl52_356 ),
inference(forward_demodulation,[],[f7553,f1083]) ).
fof(f8197,plain,
( ~ spl52_310
| ~ spl52_46
| ~ spl52_291
| ~ spl52_301
| ~ spl52_346
| spl52_358 ),
inference(avatar_split_clause,[],[f7549,f7452,f5149,f2522,f2457,f1082,f2609]) ).
fof(f7549,plain,
( e20 != op2(e21,e22)
| ~ spl52_46
| ~ spl52_291
| ~ spl52_301
| ~ spl52_346
| spl52_358 ),
inference(forward_demodulation,[],[f7548,f5151]) ).
fof(f7548,plain,
( op2(e21,e22) != h4(e11)
| ~ spl52_46
| ~ spl52_291
| ~ spl52_301
| spl52_358 ),
inference(forward_demodulation,[],[f7547,f2459]) ).
fof(f8192,plain,
( ~ spl52_160
| ~ spl52_46
| ~ spl52_169
| ~ spl52_346
| spl52_359 ),
inference(avatar_split_clause,[],[f7545,f7456,f5149,f1687,f1082,f1637]) ).
fof(f7545,plain,
( e21 != op2(e20,e21)
| ~ spl52_46
| ~ spl52_169
| ~ spl52_346
| spl52_359 ),
inference(forward_demodulation,[],[f7544,f1083]) ).
fof(f7544,plain,
( op2(e20,e21) != h4(e10)
| ~ spl52_46
| ~ spl52_169
| ~ spl52_346
| spl52_359 ),
inference(forward_demodulation,[],[f7543,f1688]) ).
fof(f7543,plain,
( op2(e20,e21) != h4(op1(e11,e10))
| ~ spl52_46
| ~ spl52_346
| spl52_359 ),
inference(forward_demodulation,[],[f7542,f5151]) ).
fof(f7542,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e21)
| ~ spl52_46
| spl52_359 ),
inference(forward_demodulation,[],[f7458,f1083]) ).
fof(f8188,plain,
( ~ spl52_323
| ~ spl52_104
| ~ spl52_346
| spl52_360 ),
inference(avatar_split_clause,[],[f7541,f7460,f5149,f1355,f3041]) ).
fof(f7541,plain,
( e20 != op2(e20,e20)
| ~ spl52_104
| ~ spl52_346
| spl52_360 ),
inference(forward_demodulation,[],[f7540,f5151]) ).
fof(f7540,plain,
( op2(e20,e20) != h4(e11)
| ~ spl52_104
| ~ spl52_346
| spl52_360 ),
inference(forward_demodulation,[],[f7539,f1357]) ).
fof(f7539,plain,
( op2(e20,e20) != h4(op1(e11,e11))
| ~ spl52_346
| spl52_360 ),
inference(forward_demodulation,[],[f7462,f5151]) ).
fof(f8184,plain,
( ~ spl52_297
| ~ spl52_29
| ~ spl52_295
| ~ spl52_346
| spl52_361 ),
inference(avatar_split_clause,[],[f7537,f7464,f5149,f2482,f1005,f2500]) ).
fof(f7537,plain,
( e23 != op2(e20,e23)
| ~ spl52_29
| ~ spl52_295
| ~ spl52_346
| spl52_361 ),
inference(forward_demodulation,[],[f7536,f1007]) ).
fof(f7536,plain,
( op2(e20,e23) != h4(e12)
| ~ spl52_295
| ~ spl52_346
| spl52_361 ),
inference(forward_demodulation,[],[f7535,f2484]) ).
fof(f8179,plain,
( ~ spl52_285
| ~ spl52_301
| ~ spl52_346
| ~ spl52_351
| spl52_362 ),
inference(avatar_split_clause,[],[f7534,f7468,f6156,f5149,f2522,f2420]) ).
fof(f7534,plain,
( e22 != op2(e20,e22)
| ~ spl52_301
| ~ spl52_346
| ~ spl52_351
| spl52_362 ),
inference(forward_demodulation,[],[f7533,f2524]) ).
fof(f7533,plain,
( op2(e20,e22) != h4(e13)
| ~ spl52_301
| ~ spl52_346
| ~ spl52_351
| spl52_362 ),
inference(forward_demodulation,[],[f7532,f6158]) ).
fof(f8168,plain,
( spl52_5
| ~ spl52_88
| ~ spl52_94
| ~ spl52_270
| ~ spl52_351
| ~ spl52_391 ),
inference(avatar_split_clause,[],[f8152,f7734,f6156,f2244,f1309,f1281,f885]) ).
fof(f8152,plain,
( e21 = e23
| ~ spl52_88
| ~ spl52_94
| ~ spl52_270
| ~ spl52_351
| ~ spl52_391 ),
inference(forward_demodulation,[],[f7859,f1311]) ).
fof(f8157,plain,
( spl52_2
| ~ spl52_32
| ~ spl52_54
| ~ spl52_323
| ~ spl52_333
| ~ spl52_384 ),
inference(avatar_split_clause,[],[f8151,f7706,f3484,f3041,f1118,f1020,f870]) ).
fof(f8151,plain,
( e20 = e22
| ~ spl52_32
| ~ spl52_54
| ~ spl52_323
| ~ spl52_333
| ~ spl52_384 ),
inference(forward_demodulation,[],[f7893,f3042]) ).
fof(f7893,plain,
( op2(e20,e20) = e22
| ~ spl52_32
| ~ spl52_54
| ~ spl52_333
| ~ spl52_384 ),
inference(forward_demodulation,[],[f7892,f1022]) ).
fof(f7892,plain,
( op2(e20,e20) = h3(e12)
| ~ spl52_54
| ~ spl52_333
| ~ spl52_384 ),
inference(forward_demodulation,[],[f7891,f3486]) ).
fof(f8131,plain,
( spl52_4
| ~ spl52_32
| ~ spl52_54
| ~ spl52_67
| ~ spl52_270
| ~ spl52_291
| ~ spl52_333
| ~ spl52_384
| ~ spl52_387
| ~ spl52_400 ),
inference(avatar_split_clause,[],[f8020,f7989,f7718,f7706,f3484,f2457,f2244,f1177,f1118,f1020,f880]) ).
fof(f8020,plain,
( e21 = e22
| ~ spl52_32
| ~ spl52_54
| ~ spl52_67
| ~ spl52_270
| ~ spl52_291
| ~ spl52_333
| ~ spl52_384
| ~ spl52_387
| ~ spl52_400 ),
inference(forward_demodulation,[],[f7893,f8012]) ).
fof(f8012,plain,
( op2(e20,e20) = e21
| ~ spl52_54
| ~ spl52_67
| ~ spl52_270
| ~ spl52_291
| ~ spl52_387
| ~ spl52_400 ),
inference(forward_demodulation,[],[f7877,f7993]) ).
fof(f7996,plain,
( spl52_324
| spl52_154
| spl52_6
| spl52_5
| ~ spl52_304
| ~ spl52_345 ),
inference(avatar_split_clause,[],[f7923,f5052,f2552,f885,f890,f1604,f3087]) ).
fof(f1604,plain,
( spl52_154
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_154])]) ).
fof(f7923,plain,
( e21 = e23
| e22 = e23
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| ~ spl52_304
| ~ spl52_345 ),
inference(forward_demodulation,[],[f7922,f2554]) ).
fof(f7922,plain,
( e22 = e23
| e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| ~ spl52_345 ),
inference(forward_demodulation,[],[f742,f5054]) ).
fof(f742,plain,
( e23 = h1(e13)
| e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21) ),
inference(forward_demodulation,[],[f344,f227]) ).
fof(f344,plain,
( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f7992,plain,
( spl52_400
| spl52_2
| spl52_1
| spl52_66
| ~ spl52_255
| ~ spl52_286
| ~ spl52_306
| ~ spl52_345 ),
inference(avatar_split_clause,[],[f7980,f5052,f2568,f2424,f2138,f1172,f865,f870,f7989]) ).
fof(f7980,plain,
( e20 = h1(e10)
| e20 = e21
| e20 = e22
| e20 = op2(e22,e22)
| ~ spl52_255
| ~ spl52_286
| ~ spl52_306
| ~ spl52_345 ),
inference(forward_demodulation,[],[f5252,f6077]) ).
fof(f6077,plain,
( op2(e20,e22) = h1(e10)
| ~ spl52_255
| ~ spl52_345 ),
inference(superposition,[],[f2140,f5054]) ).
fof(f5252,plain,
( e20 = e21
| e20 = e22
| e20 = op2(e22,e22)
| e20 = op2(e20,e22)
| ~ spl52_286
| ~ spl52_306 ),
inference(forward_demodulation,[],[f4114,f2570]) ).
fof(f4114,plain,
( e20 = e22
| e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e20,e22)
| ~ spl52_286 ),
inference(forward_demodulation,[],[f355,f2426]) ).
fof(f355,plain,
( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f7987,plain,
( ~ spl52_344
| spl52_230
| ~ spl52_273 ),
inference(avatar_split_clause,[],[f2341,f2258,f2009,f4262]) ).
fof(f4262,plain,
( spl52_344
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_344])]) ).
fof(f2009,plain,
( spl52_230
<=> op2(e20,e21) = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_230])]) ).
fof(f2341,plain,
( e22 != op2(e20,e21)
| spl52_230
| ~ spl52_273 ),
inference(superposition,[],[f2011,f2260]) ).
fof(f2011,plain,
( op2(e20,e21) != op2(e22,e21)
| spl52_230 ),
inference(avatar_component_clause,[],[f2009]) ).
fof(f7978,plain,
( spl52_324
| spl52_6
| spl52_5
| spl52_3
| ~ spl52_66
| ~ spl52_255
| ~ spl52_304
| ~ spl52_345 ),
inference(avatar_split_clause,[],[f7924,f5052,f2552,f2138,f1172,f875,f885,f890,f3087]) ).
fof(f7924,plain,
( e20 = e23
| e21 = e23
| e22 = e23
| e23 = op2(e20,e21)
| ~ spl52_66
| ~ spl52_255
| ~ spl52_304
| ~ spl52_345 ),
inference(forward_demodulation,[],[f7923,f6013]) ).
fof(f6013,plain,
( e20 = op2(e20,e22)
| ~ spl52_66
| ~ spl52_255
| ~ spl52_345 ),
inference(forward_demodulation,[],[f5061,f1173]) ).
fof(f7957,plain,
( spl52_324
| ~ spl52_54
| ~ spl52_88
| ~ spl52_270
| ~ spl52_349
| ~ spl52_385 ),
inference(avatar_split_clause,[],[f7887,f7710,f5923,f2244,f1281,f1118,f3087]) ).
fof(f7887,plain,
( e23 = op2(e20,e21)
| ~ spl52_54
| ~ spl52_88
| ~ spl52_270
| ~ spl52_349
| ~ spl52_385 ),
inference(forward_demodulation,[],[f7886,f1283]) ).
fof(f7886,plain,
( op2(e20,e21) = h3(e13)
| ~ spl52_54
| ~ spl52_270
| ~ spl52_349
| ~ spl52_385 ),
inference(forward_demodulation,[],[f7885,f5925]) ).
fof(f7885,plain,
( op2(e20,e21) = h3(op1(e10,e11))
| ~ spl52_54
| ~ spl52_270
| ~ spl52_385 ),
inference(forward_demodulation,[],[f7884,f1119]) ).
fof(f7884,plain,
( h3(op1(e10,e11)) = op2(h3(e10),e21)
| ~ spl52_270
| ~ spl52_385 ),
inference(forward_demodulation,[],[f7711,f2246]) ).
fof(f7956,plain,
( ~ spl52_102
| ~ spl52_32
| ~ spl52_54
| ~ spl52_127
| spl52_386 ),
inference(avatar_split_clause,[],[f7815,f7714,f1461,f1118,f1020,f1345]) ).
fof(f7815,plain,
( e20 != op2(e20,e22)
| ~ spl52_32
| ~ spl52_54
| ~ spl52_127
| spl52_386 ),
inference(forward_demodulation,[],[f7814,f1119]) ).
fof(f7814,plain,
( op2(e20,e22) != h3(e10)
| ~ spl52_32
| ~ spl52_54
| ~ spl52_127
| spl52_386 ),
inference(forward_demodulation,[],[f7813,f1463]) ).
fof(f7813,plain,
( op2(e20,e22) != h3(op1(e10,e12))
| ~ spl52_32
| ~ spl52_54
| spl52_386 ),
inference(forward_demodulation,[],[f7812,f1119]) ).
fof(f7936,plain,
( spl52_324
| spl52_3
| spl52_5
| spl52_6
| ~ spl52_102
| ~ spl52_304
| ~ spl52_345 ),
inference(avatar_split_clause,[],[f7909,f5052,f2552,f1345,f890,f885,f875,f3087]) ).
fof(f7909,plain,
( e22 = e23
| e21 = e23
| e20 = e23
| e23 = op2(e20,e21)
| ~ spl52_102
| ~ spl52_304
| ~ spl52_345 ),
inference(forward_demodulation,[],[f5023,f5054]) ).
fof(f5023,plain,
( e21 = e23
| e20 = e23
| e23 = h1(e13)
| e23 = op2(e20,e21)
| ~ spl52_102
| ~ spl52_304 ),
inference(forward_demodulation,[],[f4831,f2554]) ).
fof(f4831,plain,
( e20 = e23
| e23 = h1(e13)
| e23 = op2(e20,e23)
| e23 = op2(e20,e21)
| ~ spl52_102 ),
inference(forward_demodulation,[],[f742,f1347]) ).
fof(f7935,plain,
( ~ spl52_324
| ~ spl52_54
| ~ spl52_88
| ~ spl52_270
| ~ spl52_349
| spl52_385 ),
inference(avatar_split_clause,[],[f7819,f7710,f5923,f2244,f1281,f1118,f3087]) ).
fof(f7819,plain,
( e23 != op2(e20,e21)
| ~ spl52_54
| ~ spl52_88
| ~ spl52_270
| ~ spl52_349
| spl52_385 ),
inference(forward_demodulation,[],[f7818,f1283]) ).
fof(f7818,plain,
( op2(e20,e21) != h3(e13)
| ~ spl52_54
| ~ spl52_270
| ~ spl52_349
| spl52_385 ),
inference(forward_demodulation,[],[f7817,f5925]) ).
fof(f7817,plain,
( op2(e20,e21) != h3(op1(e10,e11))
| ~ spl52_54
| ~ spl52_270
| spl52_385 ),
inference(forward_demodulation,[],[f7816,f1119]) ).
fof(f7816,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e21)
| ~ spl52_270
| spl52_385 ),
inference(forward_demodulation,[],[f7712,f2246]) ).
fof(f7901,plain,
( ~ spl52_49
| ~ spl52_32 ),
inference(avatar_split_clause,[],[f7897,f1020,f1096]) ).
fof(f1096,plain,
( spl52_49
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_49])]) ).
fof(f7897,plain,
( ~ sP8
| ~ spl52_32 ),
inference(trivial_inequality_removal,[],[f7896]) ).
fof(f7896,plain,
( e22 != e22
| ~ sP8
| ~ spl52_32 ),
inference(forward_demodulation,[],[f142,f1022]) ).
fof(f142,plain,
( e22 != h3(e12)
| ~ sP8 ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
fof(f7894,plain,
( ~ spl52_51
| ~ spl52_270 ),
inference(avatar_split_clause,[],[f7890,f2244,f1105]) ).
fof(f1105,plain,
( spl52_51
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_51])]) ).
fof(f7890,plain,
( ~ sP7
| ~ spl52_270 ),
inference(trivial_inequality_removal,[],[f7889]) ).
fof(f7889,plain,
( e21 != e21
| ~ sP7
| ~ spl52_270 ),
inference(forward_demodulation,[],[f145,f2246]) ).
fof(f145,plain,
( e21 != h3(e11)
| ~ sP7 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f7888,plain,
( ~ spl52_313
| ~ spl52_32
| ~ spl52_54
| ~ spl52_333
| spl52_384 ),
inference(avatar_split_clause,[],[f7822,f7706,f3484,f1118,f1020,f2734]) ).
fof(f7822,plain,
( op2(e20,e20) != e22
| ~ spl52_32
| ~ spl52_54
| ~ spl52_333
| spl52_384 ),
inference(forward_demodulation,[],[f7821,f1022]) ).
fof(f7821,plain,
( op2(e20,e20) != h3(e12)
| ~ spl52_54
| ~ spl52_333
| spl52_384 ),
inference(forward_demodulation,[],[f7820,f3486]) ).
fof(f7820,plain,
( op2(e20,e20) != h3(op1(e10,e10))
| ~ spl52_54
| spl52_384 ),
inference(forward_demodulation,[],[f7708,f1119]) ).
fof(f7883,plain,
( ~ spl52_324
| ~ spl52_54
| ~ spl52_88
| ~ spl52_270
| ~ spl52_349
| spl52_385 ),
inference(avatar_split_clause,[],[f7819,f7710,f5923,f2244,f1281,f1118,f3087]) ).
fof(f7878,plain,
( ~ spl52_102
| ~ spl52_32
| ~ spl52_54
| ~ spl52_127
| spl52_386 ),
inference(avatar_split_clause,[],[f7815,f7714,f1461,f1118,f1020,f1345]) ).
fof(f7874,plain,
( ~ spl52_304
| ~ spl52_54
| ~ spl52_270
| ~ spl52_291
| spl52_387 ),
inference(avatar_split_clause,[],[f7811,f7718,f2457,f2244,f1118,f2552]) ).
fof(f7811,plain,
( e21 != op2(e20,e23)
| ~ spl52_54
| ~ spl52_270
| ~ spl52_291
| spl52_387 ),
inference(forward_demodulation,[],[f7810,f2246]) ).
fof(f7810,plain,
( op2(e20,e23) != h3(e11)
| ~ spl52_54
| ~ spl52_291
| spl52_387 ),
inference(forward_demodulation,[],[f7809,f2459]) ).
fof(f7809,plain,
( op2(e20,e23) != h3(op1(e10,e13))
| ~ spl52_54
| spl52_387 ),
inference(forward_demodulation,[],[f7720,f1119]) ).
fof(f7869,plain,
( ~ spl52_312
| ~ spl52_54
| ~ spl52_169
| ~ spl52_270
| spl52_388 ),
inference(avatar_split_clause,[],[f7808,f7722,f2244,f1687,f1118,f2619]) ).
fof(f7808,plain,
( e20 != op2(e21,e20)
| ~ spl52_54
| ~ spl52_169
| ~ spl52_270
| spl52_388 ),
inference(forward_demodulation,[],[f7807,f1119]) ).
fof(f7807,plain,
( op2(e21,e20) != h3(e10)
| ~ spl52_54
| ~ spl52_169
| ~ spl52_270
| spl52_388 ),
inference(forward_demodulation,[],[f7806,f1688]) ).
fof(f7806,plain,
( op2(e21,e20) != h3(op1(e11,e10))
| ~ spl52_54
| ~ spl52_270
| spl52_388 ),
inference(forward_demodulation,[],[f7805,f2246]) ).
fof(f7805,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| ~ spl52_54
| spl52_388 ),
inference(forward_demodulation,[],[f7724,f1119]) ).
fof(f7865,plain,
( ~ spl52_86
| ~ spl52_104
| ~ spl52_270
| spl52_389 ),
inference(avatar_split_clause,[],[f7804,f7726,f2244,f1355,f1270]) ).
fof(f7804,plain,
( e21 != op2(e21,e21)
| ~ spl52_104
| ~ spl52_270
| spl52_389 ),
inference(forward_demodulation,[],[f7803,f2246]) ).
fof(f7803,plain,
( op2(e21,e21) != h3(e11)
| ~ spl52_104
| ~ spl52_270
| spl52_389 ),
inference(forward_demodulation,[],[f7802,f1357]) ).
fof(f7802,plain,
( op2(e21,e21) != h3(op1(e11,e11))
| ~ spl52_270
| spl52_389 ),
inference(forward_demodulation,[],[f7728,f2246]) ).
fof(f7860,plain,
( ~ spl52_286
| ~ spl52_32
| ~ spl52_270
| ~ spl52_295
| spl52_390 ),
inference(avatar_split_clause,[],[f7801,f7730,f2482,f2244,f1020,f2424]) ).
fof(f7801,plain,
( e22 != op2(e21,e22)
| ~ spl52_32
| ~ spl52_270
| ~ spl52_295
| spl52_390 ),
inference(forward_demodulation,[],[f7800,f1022]) ).
fof(f7800,plain,
( op2(e21,e22) != h3(e12)
| ~ spl52_32
| ~ spl52_270
| ~ spl52_295
| spl52_390 ),
inference(forward_demodulation,[],[f7799,f2484]) ).
fof(f7799,plain,
( op2(e21,e22) != h3(op1(e11,e12))
| ~ spl52_32
| ~ spl52_270
| spl52_390 ),
inference(forward_demodulation,[],[f7798,f2246]) ).
fof(f7798,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e22)
| ~ spl52_32
| spl52_390 ),
inference(forward_demodulation,[],[f7732,f1022]) ).
fof(f7856,plain,
( ~ spl52_298
| ~ spl52_88
| ~ spl52_270
| ~ spl52_351
| spl52_391 ),
inference(avatar_split_clause,[],[f7797,f7734,f6156,f2244,f1281,f2504]) ).
fof(f7797,plain,
( e23 != op2(e21,e23)
| ~ spl52_88
| ~ spl52_270
| ~ spl52_351
| spl52_391 ),
inference(forward_demodulation,[],[f7796,f1283]) ).
fof(f7796,plain,
( op2(e21,e23) != h3(e13)
| ~ spl52_270
| ~ spl52_351
| spl52_391 ),
inference(forward_demodulation,[],[f7795,f6158]) ).
fof(f7795,plain,
( op2(e21,e23) != h3(op1(e11,e13))
| ~ spl52_270
| spl52_391 ),
inference(forward_demodulation,[],[f7736,f2246]) ).
fof(f7851,plain,
( ~ spl52_260
| ~ spl52_32
| ~ spl52_54
| ~ spl52_259
| ~ spl52_270
| spl52_392 ),
inference(avatar_split_clause,[],[f7794,f7738,f2244,f2170,f1118,f1020,f2180]) ).
fof(f7738,plain,
( spl52_392
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_392])]) ).
fof(f7794,plain,
( e21 != op2(e22,e20)
| ~ spl52_32
| ~ spl52_54
| ~ spl52_259
| ~ spl52_270
| spl52_392 ),
inference(forward_demodulation,[],[f7793,f2246]) ).
fof(f7793,plain,
( op2(e22,e20) != h3(e11)
| ~ spl52_32
| ~ spl52_54
| ~ spl52_259
| spl52_392 ),
inference(forward_demodulation,[],[f7792,f2172]) ).
fof(f7792,plain,
( op2(e22,e20) != h3(op1(e12,e10))
| ~ spl52_32
| ~ spl52_54
| spl52_392 ),
inference(forward_demodulation,[],[f7791,f1022]) ).
fof(f7791,plain,
( h3(op1(e12,e10)) != op2(h3(e12),e20)
| ~ spl52_54
| spl52_392 ),
inference(forward_demodulation,[],[f7740,f1119]) ).
fof(f7740,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl52_392 ),
inference(avatar_component_clause,[],[f7738]) ).
fof(f7846,plain,
( ~ spl52_273
| ~ spl52_32
| ~ spl52_114
| ~ spl52_270
| spl52_393 ),
inference(avatar_split_clause,[],[f7790,f7742,f2244,f1402,f1020,f2258]) ).
fof(f7742,plain,
( spl52_393
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_393])]) ).
fof(f7790,plain,
( e22 != op2(e22,e21)
| ~ spl52_32
| ~ spl52_114
| ~ spl52_270
| spl52_393 ),
inference(forward_demodulation,[],[f7789,f1022]) ).
fof(f7789,plain,
( op2(e22,e21) != h3(e12)
| ~ spl52_32
| ~ spl52_114
| ~ spl52_270
| spl52_393 ),
inference(forward_demodulation,[],[f7788,f1404]) ).
fof(f7788,plain,
( op2(e22,e21) != h3(op1(e12,e11))
| ~ spl52_32
| ~ spl52_270
| spl52_393 ),
inference(forward_demodulation,[],[f7787,f1022]) ).
fof(f7787,plain,
( h3(op1(e12,e11)) != op2(h3(e12),e21)
| ~ spl52_270
| spl52_393 ),
inference(forward_demodulation,[],[f7744,f2246]) ).
fof(f7744,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl52_393 ),
inference(avatar_component_clause,[],[f7742]) ).
fof(f7842,plain,
( ~ spl52_67
| ~ spl52_32
| ~ spl52_68
| ~ spl52_88
| spl52_394 ),
inference(avatar_split_clause,[],[f7786,f7746,f1281,f1182,f1020,f1177]) ).
fof(f7746,plain,
( spl52_394
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_394])]) ).
fof(f7786,plain,
( e23 != op2(e22,e22)
| ~ spl52_32
| ~ spl52_68
| ~ spl52_88
| spl52_394 ),
inference(forward_demodulation,[],[f7785,f1283]) ).
fof(f7785,plain,
( op2(e22,e22) != h3(e13)
| ~ spl52_32
| ~ spl52_68
| spl52_394 ),
inference(forward_demodulation,[],[f7784,f1184]) ).
fof(f7784,plain,
( op2(e22,e22) != h3(op1(e12,e12))
| ~ spl52_32
| spl52_394 ),
inference(forward_demodulation,[],[f7748,f1022]) ).
fof(f7748,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl52_394 ),
inference(avatar_component_clause,[],[f7746]) ).
fof(f7838,plain,
( ~ spl52_166
| ~ spl52_32
| ~ spl52_54
| ~ spl52_69
| spl52_395 ),
inference(avatar_split_clause,[],[f7783,f7750,f1187,f1118,f1020,f1668]) ).
fof(f7750,plain,
( spl52_395
<=> h3(op1(e12,e13)) = op2(h3(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_395])]) ).
fof(f7783,plain,
( e20 != op2(e22,e23)
| ~ spl52_32
| ~ spl52_54
| ~ spl52_69
| spl52_395 ),
inference(forward_demodulation,[],[f7782,f1119]) ).
fof(f7782,plain,
( op2(e22,e23) != h3(e10)
| ~ spl52_32
| ~ spl52_69
| spl52_395 ),
inference(forward_demodulation,[],[f7781,f1189]) ).
fof(f7781,plain,
( op2(e22,e23) != h3(op1(e12,e13))
| ~ spl52_32
| spl52_395 ),
inference(forward_demodulation,[],[f7752,f1022]) ).
fof(f7752,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e23)
| spl52_395 ),
inference(avatar_component_clause,[],[f7750]) ).
fof(f7834,plain,
( ~ spl52_277
| ~ spl52_54
| ~ spl52_88
| ~ spl52_112
| spl52_396 ),
inference(avatar_split_clause,[],[f7780,f7754,f1393,f1281,f1118,f2295]) ).
fof(f7780,plain,
( e23 != op2(e23,e20)
| ~ spl52_54
| ~ spl52_88
| ~ spl52_112
| spl52_396 ),
inference(forward_demodulation,[],[f7779,f1283]) ).
fof(f7779,plain,
( op2(e23,e20) != h3(e13)
| ~ spl52_54
| ~ spl52_112
| spl52_396 ),
inference(forward_demodulation,[],[f7778,f1395]) ).
fof(f7778,plain,
( op2(e23,e20) != h3(op1(e13,e10))
| ~ spl52_54
| spl52_396 ),
inference(forward_demodulation,[],[f7756,f1119]) ).
fof(f7756,plain,
( h3(op1(e13,e10)) != op2(e23,h3(e10))
| spl52_396 ),
inference(avatar_component_clause,[],[f7754]) ).
fof(f7830,plain,
( ~ spl52_308
| ~ spl52_54
| ~ spl52_270
| ~ spl52_342
| spl52_397 ),
inference(avatar_split_clause,[],[f7777,f7758,f3978,f2244,f1118,f2597]) ).
fof(f7777,plain,
( e20 != op2(e23,e21)
| ~ spl52_54
| ~ spl52_270
| ~ spl52_342
| spl52_397 ),
inference(forward_demodulation,[],[f7776,f1119]) ).
fof(f7776,plain,
( op2(e23,e21) != h3(e10)
| ~ spl52_270
| ~ spl52_342
| spl52_397 ),
inference(forward_demodulation,[],[f7775,f3980]) ).
fof(f7775,plain,
( op2(e23,e21) != h3(op1(e13,e11))
| ~ spl52_270
| spl52_397 ),
inference(forward_demodulation,[],[f7760,f2246]) ).
fof(f7760,plain,
( h3(op1(e13,e11)) != op2(e23,h3(e11))
| spl52_397 ),
inference(avatar_component_clause,[],[f7758]) ).
fof(f7826,plain,
( ~ spl52_306
| ~ spl52_32
| ~ spl52_270
| ~ spl52_354
| spl52_398 ),
inference(avatar_split_clause,[],[f7774,f7762,f6638,f2244,f1020,f2568]) ).
fof(f7774,plain,
( e21 != op2(e23,e22)
| ~ spl52_32
| ~ spl52_270
| ~ spl52_354
| spl52_398 ),
inference(forward_demodulation,[],[f7773,f2246]) ).
fof(f7773,plain,
( op2(e23,e22) != h3(e11)
| ~ spl52_32
| ~ spl52_354
| spl52_398 ),
inference(forward_demodulation,[],[f7772,f6640]) ).
fof(f7772,plain,
( op2(e23,e22) != h3(op1(e13,e12))
| ~ spl52_32
| spl52_398 ),
inference(forward_demodulation,[],[f7764,f1022]) ).
fof(f7823,plain,
( ~ spl52_327
| ~ spl52_32
| ~ spl52_290
| spl52_399 ),
inference(avatar_split_clause,[],[f7771,f7766,f2447,f1020,f3104]) ).
fof(f7771,plain,
( e22 != op2(e23,e23)
| ~ spl52_32
| ~ spl52_290
| spl52_399 ),
inference(forward_demodulation,[],[f7770,f1022]) ).
fof(f7770,plain,
( op2(e23,e23) != h3(e12)
| ~ spl52_290
| spl52_399 ),
inference(forward_demodulation,[],[f7768,f2449]) ).
fof(f7769,plain,
( ~ spl52_384
| ~ spl52_385
| ~ spl52_386
| ~ spl52_387
| ~ spl52_388
| ~ spl52_389
| ~ spl52_390
| ~ spl52_391
| ~ spl52_392
| ~ spl52_393
| ~ spl52_394
| ~ spl52_395
| ~ spl52_396
| ~ spl52_397
| ~ spl52_398
| ~ spl52_399
| spl52_53
| spl52_51
| spl52_49
| ~ spl52_88 ),
inference(avatar_split_clause,[],[f674,f1281,f1096,f1105,f1114,f7766,f7762,f7758,f7754,f7750,f7746,f7742,f7738,f7734,f7730,f7726,f7722,f7718,f7714,f7710,f7706]) ).
fof(f1114,plain,
( spl52_53
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_53])]) ).
fof(f674,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,[],[f187]) ).
fof(f187,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(f7700,plain,
( ~ spl52_308
| ~ spl52_29
| ~ spl52_46
| ~ spl52_259
| ~ spl52_346
| spl52_377 ),
inference(avatar_split_clause,[],[f7670,f7620,f5149,f2170,f1082,f1005,f2597]) ).
fof(f7620,plain,
( spl52_377
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_377])]) ).
fof(f7670,plain,
( e20 != op2(e23,e21)
| ~ spl52_29
| ~ spl52_46
| ~ spl52_259
| ~ spl52_346
| spl52_377 ),
inference(forward_demodulation,[],[f7669,f5151]) ).
fof(f7669,plain,
( op2(e23,e21) != h4(e11)
| ~ spl52_29
| ~ spl52_46
| ~ spl52_259
| spl52_377 ),
inference(forward_demodulation,[],[f7668,f2172]) ).
fof(f7668,plain,
( op2(e23,e21) != h4(op1(e12,e10))
| ~ spl52_29
| ~ spl52_46
| spl52_377 ),
inference(forward_demodulation,[],[f7667,f1007]) ).
fof(f7667,plain,
( h4(op1(e12,e10)) != op2(h4(e12),e21)
| ~ spl52_46
| spl52_377 ),
inference(forward_demodulation,[],[f7622,f1083]) ).
fof(f7622,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| spl52_377 ),
inference(avatar_component_clause,[],[f7620]) ).
fof(f7697,plain,
( ~ spl52_327
| ~ spl52_29
| ~ spl52_68
| ~ spl52_301
| spl52_379 ),
inference(avatar_split_clause,[],[f7663,f7628,f2522,f1182,f1005,f3104]) ).
fof(f7628,plain,
( spl52_379
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_379])]) ).
fof(f7663,plain,
( e22 != op2(e23,e23)
| ~ spl52_29
| ~ spl52_68
| ~ spl52_301
| spl52_379 ),
inference(forward_demodulation,[],[f7662,f2524]) ).
fof(f7662,plain,
( op2(e23,e23) != h4(e13)
| ~ spl52_29
| ~ spl52_68
| spl52_379 ),
inference(forward_demodulation,[],[f7661,f1184]) ).
fof(f7661,plain,
( op2(e23,e23) != h4(op1(e12,e12))
| ~ spl52_29
| spl52_379 ),
inference(forward_demodulation,[],[f7630,f1007]) ).
fof(f7630,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl52_379 ),
inference(avatar_component_clause,[],[f7628]) ).
fof(f7693,plain,
( ~ spl52_306
| ~ spl52_29
| ~ spl52_46
| ~ spl52_69
| ~ spl52_301
| spl52_380 ),
inference(avatar_split_clause,[],[f7660,f7632,f2522,f1187,f1082,f1005,f2568]) ).
fof(f7632,plain,
( spl52_380
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_380])]) ).
fof(f7660,plain,
( e21 != op2(e23,e22)
| ~ spl52_29
| ~ spl52_46
| ~ spl52_69
| ~ spl52_301
| spl52_380 ),
inference(forward_demodulation,[],[f7659,f1083]) ).
fof(f7659,plain,
( op2(e23,e22) != h4(e10)
| ~ spl52_29
| ~ spl52_69
| ~ spl52_301
| spl52_380 ),
inference(forward_demodulation,[],[f7658,f1189]) ).
fof(f7658,plain,
( op2(e23,e22) != h4(op1(e12,e13))
| ~ spl52_29
| ~ spl52_301
| spl52_380 ),
inference(forward_demodulation,[],[f7657,f1007]) ).
fof(f7657,plain,
( h4(op1(e12,e13)) != op2(h4(e12),e22)
| ~ spl52_301
| spl52_380 ),
inference(forward_demodulation,[],[f7634,f2524]) ).
fof(f7634,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| spl52_380 ),
inference(avatar_component_clause,[],[f7632]) ).
fof(f7688,plain,
( ~ spl52_166
| ~ spl52_29
| ~ spl52_301
| ~ spl52_346
| ~ spl52_354
| spl52_382 ),
inference(avatar_split_clause,[],[f7652,f7640,f6638,f5149,f2522,f1005,f1668]) ).
fof(f7652,plain,
( e20 != op2(e22,e23)
| ~ spl52_29
| ~ spl52_301
| ~ spl52_346
| ~ spl52_354
| spl52_382 ),
inference(forward_demodulation,[],[f7651,f5151]) ).
fof(f7651,plain,
( op2(e22,e23) != h4(e11)
| ~ spl52_29
| ~ spl52_301
| ~ spl52_354
| spl52_382 ),
inference(forward_demodulation,[],[f7650,f6640]) ).
fof(f7650,plain,
( op2(e22,e23) != h4(op1(e13,e12))
| ~ spl52_29
| ~ spl52_301
| spl52_382 ),
inference(forward_demodulation,[],[f7649,f2524]) ).
fof(f7649,plain,
( h4(op1(e13,e12)) != op2(h4(e13),e23)
| ~ spl52_29
| spl52_382 ),
inference(forward_demodulation,[],[f7642,f1007]) ).
fof(f7647,plain,
( ~ spl52_355
| ~ spl52_371
| ~ spl52_372
| ~ spl52_358
| ~ spl52_373
| ~ spl52_374
| ~ spl52_375
| ~ spl52_376
| ~ spl52_377
| ~ spl52_378
| ~ spl52_379
| ~ spl52_380
| ~ spl52_367
| ~ spl52_381
| ~ spl52_382
| ~ spl52_370
| spl52_47
| spl52_45
| spl52_43
| ~ spl52_383 ),
inference(avatar_split_clause,[],[f672,f7644,f1069,f1078,f1087,f7500,f7640,f7636,f7488,f7632,f7628,f7624,f7620,f7616,f7612,f7608,f7604,f7452,f7600,f7596,f7440]) ).
fof(f1078,plain,
( spl52_45
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_45])]) ).
fof(f672,plain,
( e23 != h4(e11)
| 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),e23)
| 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),e23)
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(e23,h4(e13))
| h4(op1(e11,e12)) != op2(e23,h4(e12))
| op2(e23,e23) != h4(op1(e11,e11))
| h4(op1(e11,e10)) != op2(e23,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),e23)
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(inner_rewriting,[],[f189]) ).
fof(f189,plain,
( e23 != h4(e11)
| 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(f7587,plain,
( spl52_6
| ~ spl52_83
| ~ spl52_301
| ~ spl52_328 ),
inference(avatar_split_clause,[],[f3774,f3108,f2522,f1254,f890]) ).
fof(f3774,plain,
( e22 = e23
| ~ spl52_83
| ~ spl52_301
| ~ spl52_328 ),
inference(forward_demodulation,[],[f2524,f3115]) ).
fof(f7583,plain,
( ~ spl52_277
| ~ spl52_29
| ~ spl52_114
| ~ spl52_346
| spl52_364 ),
inference(avatar_split_clause,[],[f7526,f7476,f5149,f1402,f1005,f2295]) ).
fof(f7526,plain,
( e23 != op2(e23,e20)
| ~ spl52_29
| ~ spl52_114
| ~ spl52_346
| spl52_364 ),
inference(forward_demodulation,[],[f7525,f1007]) ).
fof(f7525,plain,
( op2(e23,e20) != h4(e12)
| ~ spl52_114
| ~ spl52_346
| spl52_364 ),
inference(forward_demodulation,[],[f7524,f1404]) ).
fof(f7524,plain,
( op2(e23,e20) != h4(op1(e12,e11))
| ~ spl52_346
| spl52_364 ),
inference(forward_demodulation,[],[f7478,f5151]) ).
fof(f7581,plain,
( ~ spl52_327
| ~ spl52_68
| ~ spl52_301
| spl52_365 ),
inference(avatar_split_clause,[],[f7523,f7480,f2522,f1182,f3104]) ).
fof(f7480,plain,
( spl52_365
<=> op2(e23,e23) = h4(op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_365])]) ).
fof(f7523,plain,
( e22 != op2(e23,e23)
| ~ spl52_68
| ~ spl52_301
| spl52_365 ),
inference(forward_demodulation,[],[f7522,f2524]) ).
fof(f7522,plain,
( op2(e23,e23) != h4(e13)
| ~ spl52_68
| spl52_365 ),
inference(forward_demodulation,[],[f7482,f1184]) ).
fof(f7482,plain,
( op2(e23,e23) != h4(op1(e12,e12))
| spl52_365 ),
inference(avatar_component_clause,[],[f7480]) ).
fof(f7576,plain,
( ~ spl52_273
| ~ spl52_46
| ~ spl52_112
| ~ spl52_301
| spl52_367 ),
inference(avatar_split_clause,[],[f7517,f7488,f2522,f1393,f1082,f2258]) ).
fof(f7517,plain,
( e22 != op2(e22,e21)
| ~ spl52_46
| ~ spl52_112
| ~ spl52_301
| spl52_367 ),
inference(forward_demodulation,[],[f7516,f2524]) ).
fof(f7516,plain,
( op2(e22,e21) != h4(e13)
| ~ spl52_46
| ~ spl52_112
| ~ spl52_301
| spl52_367 ),
inference(forward_demodulation,[],[f7515,f1395]) ).
fof(f7515,plain,
( op2(e22,e21) != h4(op1(e13,e10))
| ~ spl52_46
| ~ spl52_301
| spl52_367 ),
inference(forward_demodulation,[],[f7514,f2524]) ).
fof(f7514,plain,
( h4(op1(e13,e10)) != op2(h4(e13),e21)
| ~ spl52_46
| spl52_367 ),
inference(forward_demodulation,[],[f7490,f1083]) ).
fof(f7571,plain,
( ~ spl52_260
| ~ spl52_46
| ~ spl52_301
| ~ spl52_342
| ~ spl52_346
| spl52_368 ),
inference(avatar_split_clause,[],[f7513,f7492,f5149,f3978,f2522,f1082,f2180]) ).
fof(f7513,plain,
( e21 != op2(e22,e20)
| ~ spl52_46
| ~ spl52_301
| ~ spl52_342
| ~ spl52_346
| spl52_368 ),
inference(forward_demodulation,[],[f7512,f1083]) ).
fof(f7512,plain,
( op2(e22,e20) != h4(e10)
| ~ spl52_301
| ~ spl52_342
| ~ spl52_346
| spl52_368 ),
inference(forward_demodulation,[],[f7511,f3980]) ).
fof(f7511,plain,
( op2(e22,e20) != h4(op1(e13,e11))
| ~ spl52_301
| ~ spl52_346
| spl52_368 ),
inference(forward_demodulation,[],[f7510,f2524]) ).
fof(f7567,plain,
( ~ spl52_166
| ~ spl52_301
| ~ spl52_346
| ~ spl52_354
| spl52_369 ),
inference(avatar_split_clause,[],[f7509,f7496,f6638,f5149,f2522,f1668]) ).
fof(f7509,plain,
( e20 != op2(e22,e23)
| ~ spl52_301
| ~ spl52_346
| ~ spl52_354
| spl52_369 ),
inference(forward_demodulation,[],[f7508,f5151]) ).
fof(f7508,plain,
( op2(e22,e23) != h4(e11)
| ~ spl52_301
| ~ spl52_354
| spl52_369 ),
inference(forward_demodulation,[],[f7507,f6640]) ).
fof(f7507,plain,
( op2(e22,e23) != h4(op1(e13,e12))
| ~ spl52_301
| spl52_369 ),
inference(forward_demodulation,[],[f7498,f2524]) ).
fof(f7498,plain,
( h4(op1(e13,e12)) != op2(h4(e13),e23)
| spl52_369 ),
inference(avatar_component_clause,[],[f7496]) ).
fof(f7563,plain,
( ~ spl52_67
| ~ spl52_29
| ~ spl52_290
| ~ spl52_301
| spl52_370 ),
inference(avatar_split_clause,[],[f7506,f7500,f2522,f2447,f1005,f1177]) ).
fof(f7506,plain,
( e23 != op2(e22,e22)
| ~ spl52_29
| ~ spl52_290
| ~ spl52_301
| spl52_370 ),
inference(forward_demodulation,[],[f7505,f1007]) ).
fof(f7505,plain,
( op2(e22,e22) != h4(e12)
| ~ spl52_290
| ~ spl52_301
| spl52_370 ),
inference(forward_demodulation,[],[f7504,f2449]) ).
fof(f7530,plain,
( ~ spl52_259
| ~ spl52_264
| spl52_363 ),
inference(avatar_contradiction_clause,[],[f7529]) ).
fof(f7529,plain,
( $false
| ~ spl52_259
| ~ spl52_264
| spl52_363 ),
inference(trivial_inequality_removal,[],[f7528]) ).
fof(f7528,plain,
( h4(e11) != h4(e11)
| ~ spl52_259
| ~ spl52_264
| spl52_363 ),
inference(forward_demodulation,[],[f7527,f2172]) ).
fof(f7527,plain,
( h4(e11) != h4(op1(e12,e10))
| ~ spl52_264
| spl52_363 ),
inference(forward_demodulation,[],[f7474,f2209]) ).
fof(f7474,plain,
( h4(op1(e12,e10)) != op2(e23,h4(e10))
| spl52_363 ),
inference(avatar_component_clause,[],[f7472]) ).
fof(f7472,plain,
( spl52_363
<=> h4(op1(e12,e10)) = op2(e23,h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_363])]) ).
fof(f7521,plain,
( ~ spl52_69
| ~ spl52_254
| spl52_366 ),
inference(avatar_contradiction_clause,[],[f7520]) ).
fof(f7520,plain,
( $false
| ~ spl52_69
| ~ spl52_254
| spl52_366 ),
inference(trivial_inequality_removal,[],[f7519]) ).
fof(f7519,plain,
( h4(e10) != h4(e10)
| ~ spl52_69
| ~ spl52_254
| spl52_366 ),
inference(forward_demodulation,[],[f7518,f1189]) ).
fof(f7518,plain,
( h4(e10) != h4(op1(e12,e13))
| ~ spl52_254
| spl52_366 ),
inference(forward_demodulation,[],[f7486,f2135]) ).
fof(f7486,plain,
( h4(op1(e12,e13)) != op2(e23,h4(e13))
| spl52_366 ),
inference(avatar_component_clause,[],[f7484]) ).
fof(f7484,plain,
( spl52_366
<=> h4(op1(e12,e13)) = op2(e23,h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_366])]) ).
fof(f7503,plain,
( ~ spl52_355
| ~ spl52_356
| ~ spl52_357
| ~ spl52_358
| ~ spl52_359
| ~ spl52_360
| ~ spl52_361
| ~ spl52_362
| ~ spl52_363
| ~ spl52_364
| ~ spl52_365
| ~ spl52_366
| ~ spl52_367
| ~ spl52_368
| ~ spl52_369
| ~ spl52_370
| spl52_47
| spl52_45
| spl52_43
| ~ spl52_29 ),
inference(avatar_split_clause,[],[f671,f1005,f1069,f1078,f1087,f7500,f7496,f7492,f7488,f7484,f7480,f7476,f7472,f7468,f7464,f7460,f7456,f7452,f7448,f7444,f7440]) ).
fof(f671,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,[],[f190]) ).
fof(f190,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(f7428,plain,
( spl52_347
| spl52_354
| spl52_23
| spl52_26
| ~ spl52_127
| ~ spl52_295 ),
inference(avatar_split_clause,[],[f7416,f2482,f1461,f990,f975,f6638,f5580]) ).
fof(f7416,plain,
( e11 = e12
| e10 = e11
| e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| ~ spl52_127
| ~ spl52_295 ),
inference(forward_demodulation,[],[f5678,f2484]) ).
fof(f5678,plain,
( e10 = e11
| e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| ~ spl52_127 ),
inference(forward_demodulation,[],[f405,f1463]) ).
fof(f7426,plain,
( spl52_349
| spl52_25
| spl52_27
| spl52_28
| ~ spl52_127
| ~ spl52_291
| ~ spl52_333 ),
inference(avatar_split_clause,[],[f7407,f3484,f2457,f1461,f1000,f995,f985,f5923]) ).
fof(f7407,plain,
( e12 = e13
| e11 = e13
| e10 = e13
| e13 = op1(e10,e11)
| ~ spl52_127
| ~ spl52_291
| ~ spl52_333 ),
inference(forward_demodulation,[],[f7406,f3486]) ).
fof(f7406,plain,
( e11 = e13
| e10 = e13
| e13 = op1(e10,e11)
| op1(e10,e10) = e13
| ~ spl52_127
| ~ spl52_291 ),
inference(forward_demodulation,[],[f5709,f2459]) ).
fof(f5709,plain,
( e10 = e13
| e13 = op1(e10,e13)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13
| ~ spl52_127 ),
inference(forward_demodulation,[],[f392,f1463]) ).
fof(f7415,plain,
( spl52_347
| spl52_23
| spl52_26
| ~ spl52_127
| ~ spl52_295
| ~ spl52_296 ),
inference(avatar_split_clause,[],[f7405,f2486,f2482,f1461,f990,f975,f5580]) ).
fof(f7405,plain,
( e11 = e12
| e10 = e11
| e11 = op1(e12,e12)
| ~ spl52_127
| ~ spl52_295
| ~ spl52_296 ),
inference(duplicate_literal_removal,[],[f7404]) ).
fof(f7404,plain,
( e11 = e12
| e11 = e12
| e10 = e11
| e11 = op1(e12,e12)
| ~ spl52_127
| ~ spl52_295
| ~ spl52_296 ),
inference(forward_demodulation,[],[f7264,f2484]) ).
fof(f7264,plain,
( e11 = e12
| e10 = e11
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| ~ spl52_127
| ~ spl52_296 ),
inference(forward_demodulation,[],[f5678,f2488]) ).
fof(f7399,plain,
( spl52_127
| spl52_220
| spl52_24
| ~ spl52_295
| ~ spl52_296 ),
inference(avatar_split_clause,[],[f6272,f2486,f2482,f980,f1958,f1461]) ).
fof(f1958,plain,
( spl52_220
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_220])]) ).
fof(f6272,plain,
( e10 = e12
| e10 = op1(e12,e12)
| e10 = op1(e10,e12)
| ~ spl52_295
| ~ spl52_296 ),
inference(duplicate_literal_removal,[],[f6271]) ).
fof(f6271,plain,
( e10 = e12
| e10 = e12
| e10 = op1(e12,e12)
| e10 = op1(e10,e12)
| ~ spl52_295
| ~ spl52_296 ),
inference(forward_demodulation,[],[f5792,f2488]) ).
fof(f5792,plain,
( e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e10,e12)
| ~ spl52_295 ),
inference(forward_demodulation,[],[f403,f2484]) ).
fof(f403,plain,
( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f7397,plain,
( ~ spl52_123
| spl52_174
| ~ spl52_259 ),
inference(avatar_split_clause,[],[f2177,f2170,f1714,f1443]) ).
fof(f1443,plain,
( spl52_123
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_123])]) ).
fof(f1714,plain,
( spl52_174
<=> op1(e11,e10) = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_174])]) ).
fof(f2177,plain,
( e11 != op1(e11,e10)
| spl52_174
| ~ spl52_259 ),
inference(superposition,[],[f1716,f2172]) ).
fof(f1716,plain,
( op1(e11,e10) != op1(e12,e10)
| spl52_174 ),
inference(avatar_component_clause,[],[f1714]) ).
fof(f7366,plain,
( spl52_188
| spl52_27
| spl52_28
| spl52_25
| ~ spl52_104
| ~ spl52_169
| ~ spl52_289 ),
inference(avatar_split_clause,[],[f7361,f2443,f1687,f1355,f985,f1000,f995,f1786]) ).
fof(f1786,plain,
( spl52_188
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_188])]) ).
fof(f7361,plain,
( e10 = e13
| e12 = e13
| e11 = e13
| e13 = op1(e11,e12)
| ~ spl52_104
| ~ spl52_169
| ~ spl52_289 ),
inference(forward_demodulation,[],[f7222,f1688]) ).
fof(f7222,plain,
( e12 = e13
| e11 = e13
| e13 = op1(e11,e12)
| e13 = op1(e11,e10)
| ~ spl52_104
| ~ spl52_289 ),
inference(forward_demodulation,[],[f6907,f2445]) ).
fof(f6907,plain,
( e11 = e13
| e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e10)
| ~ spl52_104 ),
inference(forward_demodulation,[],[f400,f1357]) ).
fof(f7360,plain,
( spl52_348
| spl52_27
| spl52_28
| spl52_25
| ~ spl52_104
| ~ spl52_289
| ~ spl52_338 ),
inference(avatar_split_clause,[],[f7324,f3607,f2443,f1355,f985,f1000,f995,f5900]) ).
fof(f7324,plain,
( e10 = e13
| e12 = e13
| e11 = e13
| e13 = op1(e11,e10)
| ~ spl52_104
| ~ spl52_289
| ~ spl52_338 ),
inference(forward_demodulation,[],[f7222,f3609]) ).
fof(f7314,plain,
( spl52_24
| ~ spl52_127
| ~ spl52_294 ),
inference(avatar_split_clause,[],[f5572,f2478,f1461,f980]) ).
fof(f5572,plain,
( e10 = e12
| ~ spl52_127
| ~ spl52_294 ),
inference(superposition,[],[f1463,f2480]) ).
fof(f7303,plain,
( spl52_24
| spl52_26
| ~ spl52_68
| ~ spl52_127
| ~ spl52_129
| ~ spl52_291
| ~ spl52_336
| ~ spl52_347 ),
inference(avatar_split_clause,[],[f7300,f5580,f3551,f2457,f1470,f1461,f1182,f990,f980]) ).
fof(f7300,plain,
( e11 = e12
| e10 = e12
| ~ spl52_68
| ~ spl52_127
| ~ spl52_129
| ~ spl52_291
| ~ spl52_336
| ~ spl52_347 ),
inference(duplicate_literal_removal,[],[f7299]) ).
fof(f7299,plain,
( e11 = e12
| e10 = e12
| e11 = e12
| ~ spl52_68
| ~ spl52_127
| ~ spl52_129
| ~ spl52_291
| ~ spl52_336
| ~ spl52_347 ),
inference(forward_demodulation,[],[f7298,f5625]) ).
fof(f7288,plain,
( spl52_275
| ~ spl52_68
| ~ spl52_342
| ~ spl52_347 ),
inference(avatar_split_clause,[],[f7287,f5580,f3978,f1182,f2268]) ).
fof(f7287,plain,
( e10 = op1(e11,e11)
| ~ spl52_68
| ~ spl52_342
| ~ spl52_347 ),
inference(forward_demodulation,[],[f3980,f5625]) ).
fof(f7285,plain,
( spl52_129
| spl52_218
| spl52_342
| spl52_23
| ~ spl52_104 ),
inference(avatar_split_clause,[],[f3971,f1355,f975,f3978,f1947,f1470]) ).
fof(f3971,plain,
( e10 = e11
| e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e10,e11)
| ~ spl52_104 ),
inference(forward_demodulation,[],[f395,f1357]) ).
fof(f7281,plain,
( spl52_347
| spl52_26
| spl52_23
| ~ spl52_127
| ~ spl52_296
| ~ spl52_338 ),
inference(avatar_split_clause,[],[f7266,f3607,f2486,f1461,f975,f990,f5580]) ).
fof(f7266,plain,
( e10 = e11
| e11 = e12
| e11 = op1(e12,e12)
| ~ spl52_127
| ~ spl52_296
| ~ spl52_338 ),
inference(duplicate_literal_removal,[],[f7265]) ).
fof(f7265,plain,
( e10 = e11
| e11 = e12
| e10 = e11
| e11 = op1(e12,e12)
| ~ spl52_127
| ~ spl52_296
| ~ spl52_338 ),
inference(forward_demodulation,[],[f7264,f3609]) ).
fof(f7258,plain,
( spl52_338
| spl52_23
| spl52_24
| spl52_25
| ~ spl52_104
| ~ spl52_334
| ~ spl52_351 ),
inference(avatar_split_clause,[],[f7233,f6156,f3488,f1355,f985,f980,f975,f3607]) ).
fof(f7233,plain,
( e10 = e13
| e10 = e12
| e10 = e11
| e10 = op1(e11,e12)
| ~ spl52_104
| ~ spl52_334
| ~ spl52_351 ),
inference(forward_demodulation,[],[f5785,f6158]) ).
fof(f5785,plain,
( e10 = e12
| e10 = e11
| e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| ~ spl52_104
| ~ spl52_334 ),
inference(forward_demodulation,[],[f5784,f3490]) ).
fof(f5784,plain,
( e10 = e11
| e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e10)
| ~ spl52_104 ),
inference(forward_demodulation,[],[f394,f1357]) ).
fof(f7250,plain,
( spl52_336
| spl52_27
| spl52_28
| spl52_25
| ~ spl52_173
| ~ spl52_259
| ~ spl52_334 ),
inference(avatar_split_clause,[],[f6961,f3488,f2170,f1709,f985,f1000,f995,f3551]) ).
fof(f1709,plain,
( spl52_173
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_173])]) ).
fof(f6961,plain,
( e10 = e13
| e12 = e13
| e11 = e13
| op1(e10,e10) = e13
| ~ spl52_173
| ~ spl52_259
| ~ spl52_334 ),
inference(forward_demodulation,[],[f5883,f1710]) ).
fof(f1710,plain,
( e10 = op1(e13,e10)
| ~ spl52_173 ),
inference(avatar_component_clause,[],[f1709]) ).
fof(f5883,plain,
( e12 = e13
| e11 = e13
| e13 = op1(e13,e10)
| op1(e10,e10) = e13
| ~ spl52_259
| ~ spl52_334 ),
inference(forward_demodulation,[],[f5600,f3490]) ).
fof(f5600,plain,
( e11 = e13
| e13 = op1(e13,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13
| ~ spl52_259 ),
inference(forward_demodulation,[],[f393,f2172]) ).
fof(f393,plain,
( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f7227,plain,
( spl52_348
| spl52_28
| spl52_27
| ~ spl52_104
| ~ spl52_120
| ~ spl52_289 ),
inference(avatar_split_clause,[],[f7224,f2443,f1429,f1355,f995,f1000,f5900]) ).
fof(f7224,plain,
( e11 = e13
| e12 = e13
| e13 = op1(e11,e10)
| ~ spl52_104
| ~ spl52_120
| ~ spl52_289 ),
inference(duplicate_literal_removal,[],[f7223]) ).
fof(f7223,plain,
( e11 = e13
| e12 = e13
| e11 = e13
| e13 = op1(e11,e10)
| ~ spl52_104
| ~ spl52_120
| ~ spl52_289 ),
inference(forward_demodulation,[],[f7222,f1431]) ).
fof(f7225,plain,
( ~ spl52_293
| spl52_159
| ~ spl52_324 ),
inference(avatar_split_clause,[],[f5242,f3087,f1631,f2466]) ).
fof(f5242,plain,
( e23 != h2(e13)
| spl52_159
| ~ spl52_324 ),
inference(superposition,[],[f1633,f3089]) ).
fof(f7213,plain,
( spl52_338
| spl52_24
| spl52_25
| spl52_23
| ~ spl52_104
| ~ spl52_289
| ~ spl52_348 ),
inference(avatar_split_clause,[],[f7164,f5900,f2443,f1355,f975,f985,f980,f3607]) ).
fof(f7164,plain,
( e10 = e11
| e10 = e13
| e10 = e12
| e10 = op1(e11,e12)
| ~ spl52_104
| ~ spl52_289
| ~ spl52_348 ),
inference(forward_demodulation,[],[f6472,f1357]) ).
fof(f6472,plain,
( e10 = e13
| e10 = e12
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| ~ spl52_289
| ~ spl52_348 ),
inference(forward_demodulation,[],[f4031,f5902]) ).
fof(f4031,plain,
( e10 = e12
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10)
| ~ spl52_289 ),
inference(forward_demodulation,[],[f394,f2445]) ).
fof(f7208,plain,
( spl52_127
| spl52_23
| spl52_25
| spl52_24
| ~ spl52_291
| ~ spl52_333
| ~ spl52_349 ),
inference(avatar_split_clause,[],[f7160,f5923,f3484,f2457,f980,f985,f975,f1461]) ).
fof(f7160,plain,
( e10 = e12
| e10 = e13
| e10 = e11
| e10 = op1(e10,e12)
| ~ spl52_291
| ~ spl52_333
| ~ spl52_349 ),
inference(forward_demodulation,[],[f7159,f3486]) ).
fof(f7159,plain,
( e10 = e13
| e10 = e11
| e10 = op1(e10,e12)
| e10 = op1(e10,e10)
| ~ spl52_291
| ~ spl52_349 ),
inference(forward_demodulation,[],[f3896,f5925]) ).
fof(f3896,plain,
( e10 = e11
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10)
| ~ spl52_291 ),
inference(forward_demodulation,[],[f386,f2459]) ).
fof(f386,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f7153,plain,
( spl52_28
| ~ spl52_334
| ~ spl52_348 ),
inference(avatar_split_clause,[],[f6992,f5900,f3488,f1000]) ).
fof(f6992,plain,
( e12 = e13
| ~ spl52_334
| ~ spl52_348 ),
inference(superposition,[],[f5902,f3490]) ).
fof(f7117,plain,
( ~ spl52_38
| spl52_110
| ~ spl52_292 ),
inference(avatar_split_clause,[],[f7051,f2461,f1384,f1046]) ).
fof(f1046,plain,
( spl52_38
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_38])]) ).
fof(f1384,plain,
( spl52_110
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_110])]) ).
fof(f7051,plain,
( e13 = op1(e13,e11)
| ~ sP49
| ~ spl52_292 ),
inference(trivial_inequality_removal,[],[f7050]) ).
fof(f7050,plain,
( e11 != e11
| e13 = op1(e13,e11)
| ~ sP49
| ~ spl52_292 ),
inference(forward_demodulation,[],[f550,f2463]) ).
fof(f550,plain,
( e13 = op1(e13,e11)
| e11 != op1(e13,e13)
| ~ sP49 ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,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) )
| ~ sP49 ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,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) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f7108,plain,
( ~ spl52_77
| ~ spl52_84
| spl52_323 ),
inference(avatar_split_clause,[],[f5034,f3041,f1259,f1224]) ).
fof(f7073,plain,
( spl52_58
| ~ spl52_70
| ~ spl52_256
| ~ spl52_268
| ~ spl52_331 ),
inference(avatar_split_clause,[],[f4682,f3331,f2231,f2143,f1192,f1136]) ).
fof(f4682,plain,
( e21 = h2(e10)
| ~ spl52_70
| ~ spl52_256
| ~ spl52_268
| ~ spl52_331 ),
inference(forward_demodulation,[],[f3279,f3335]) ).
fof(f3335,plain,
( e21 = op2(e21,e21)
| ~ spl52_268
| ~ spl52_331 ),
inference(forward_demodulation,[],[f3333,f2233]) ).
fof(f3333,plain,
( e21 = op2(e21,h2(e11))
| ~ spl52_331 ),
inference(avatar_component_clause,[],[f3331]) ).
fof(f3279,plain,
( op2(e21,e21) = h2(e10)
| ~ spl52_70
| ~ spl52_256 ),
inference(superposition,[],[f2145,f1194]) ).
fof(f7042,plain,
( spl52_24
| ~ spl52_103
| ~ spl52_333 ),
inference(avatar_split_clause,[],[f5607,f3484,f1350,f980]) ).
fof(f5607,plain,
( e10 = e12
| ~ spl52_103
| ~ spl52_333 ),
inference(superposition,[],[f1352,f3486]) ).
fof(f6995,plain,
( spl52_354
| spl52_27
| spl52_26
| spl52_23
| ~ spl52_110
| ~ spl52_173
| ~ spl52_290 ),
inference(avatar_split_clause,[],[f6963,f2447,f1709,f1384,f975,f990,f995,f6638]) ).
fof(f6963,plain,
( e10 = e11
| e11 = e12
| e11 = e13
| e11 = op1(e13,e12)
| ~ spl52_110
| ~ spl52_173
| ~ spl52_290 ),
inference(forward_demodulation,[],[f6629,f1710]) ).
fof(f6629,plain,
( e11 = e12
| e11 = e13
| e11 = op1(e13,e12)
| e11 = op1(e13,e10)
| ~ spl52_110
| ~ spl52_290 ),
inference(forward_demodulation,[],[f5855,f2449]) ).
fof(f5855,plain,
( e11 = e13
| e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e10)
| ~ spl52_110 ),
inference(forward_demodulation,[],[f412,f1386]) ).
fof(f1386,plain,
( e13 = op1(e13,e11)
| ~ spl52_110 ),
inference(avatar_component_clause,[],[f1384]) ).
fof(f6990,plain,
( spl52_348
| spl52_27
| spl52_25
| ~ spl52_104
| ~ spl52_118
| ~ spl52_338 ),
inference(avatar_split_clause,[],[f6967,f3607,f1420,f1355,f985,f995,f5900]) ).
fof(f6967,plain,
( e10 = e13
| e11 = e13
| e13 = op1(e11,e10)
| ~ spl52_104
| ~ spl52_118
| ~ spl52_338 ),
inference(forward_demodulation,[],[f6959,f3609]) ).
fof(f6959,plain,
( e11 = e13
| e13 = op1(e11,e12)
| e13 = op1(e11,e10)
| ~ spl52_104
| ~ spl52_118 ),
inference(duplicate_literal_removal,[],[f6875]) ).
fof(f6875,plain,
( e11 = e13
| e11 = e13
| e13 = op1(e11,e12)
| e13 = op1(e11,e10)
| ~ spl52_104
| ~ spl52_118 ),
inference(forward_demodulation,[],[f6874,f1357]) ).
fof(f6874,plain,
( e11 = e13
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10)
| ~ spl52_118 ),
inference(forward_demodulation,[],[f400,f1422]) ).
fof(f6956,plain,
( spl52_220
| spl52_24
| spl52_23
| ~ spl52_120
| ~ spl52_296
| ~ spl52_330 ),
inference(avatar_split_clause,[],[f6923,f3135,f2486,f1429,f975,f980,f1958]) ).
fof(f6923,plain,
( e10 = e11
| e10 = e12
| e10 = op1(e12,e12)
| ~ spl52_120
| ~ spl52_296
| ~ spl52_330 ),
inference(duplicate_literal_removal,[],[f6922]) ).
fof(f6922,plain,
( e10 = e11
| e10 = e11
| e10 = e12
| e10 = op1(e12,e12)
| ~ spl52_120
| ~ spl52_296
| ~ spl52_330 ),
inference(forward_demodulation,[],[f6450,f3137]) ).
fof(f6450,plain,
( e10 = e11
| e10 = e12
| e10 = op1(e12,e12)
| e10 = op1(e10,e12)
| ~ spl52_120
| ~ spl52_296 ),
inference(forward_demodulation,[],[f6174,f1431]) ).
fof(f6174,plain,
( e10 = e12
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12)
| ~ spl52_296 ),
inference(forward_demodulation,[],[f403,f2488]) ).
fof(f6905,plain,
( spl52_188
| spl52_27
| spl52_25
| ~ spl52_104
| ~ spl52_118
| ~ spl52_169 ),
inference(avatar_split_clause,[],[f6877,f1687,f1420,f1355,f985,f995,f1786]) ).
fof(f6877,plain,
( e10 = e13
| e11 = e13
| e13 = op1(e11,e12)
| ~ spl52_104
| ~ spl52_118
| ~ spl52_169 ),
inference(forward_demodulation,[],[f6876,f1688]) ).
fof(f6876,plain,
( e11 = e13
| e13 = op1(e11,e12)
| e13 = op1(e11,e10)
| ~ spl52_104
| ~ spl52_118 ),
inference(duplicate_literal_removal,[],[f6875]) ).
fof(f6868,plain,
( spl52_25
| ~ spl52_169
| ~ spl52_348 ),
inference(avatar_split_clause,[],[f6865,f5900,f1687,f985]) ).
fof(f6865,plain,
( e10 = e13
| ~ spl52_169
| ~ spl52_348 ),
inference(superposition,[],[f1688,f5902]) ).
fof(f6853,plain,
( spl52_23
| ~ spl52_104
| ~ spl52_275 ),
inference(avatar_split_clause,[],[f6852,f2268,f1355,f975]) ).
fof(f6852,plain,
( e10 = e11
| ~ spl52_104
| ~ spl52_275 ),
inference(forward_demodulation,[],[f1357,f2269]) ).
fof(f2269,plain,
( e10 = op1(e11,e11)
| ~ spl52_275 ),
inference(avatar_component_clause,[],[f2268]) ).
fof(f6828,plain,
( spl52_27
| ~ spl52_123
| ~ spl52_348 ),
inference(avatar_split_clause,[],[f6247,f5900,f1443,f995]) ).
fof(f6247,plain,
( e11 = e13
| ~ spl52_123
| ~ spl52_348 ),
inference(superposition,[],[f1445,f5902]) ).
fof(f1445,plain,
( e11 = op1(e11,e10)
| ~ spl52_123 ),
inference(avatar_component_clause,[],[f1443]) ).
fof(f6808,plain,
( ~ spl52_122
| ~ spl52_103 ),
inference(avatar_split_clause,[],[f6797,f1350,f1439]) ).
fof(f1439,plain,
( spl52_122
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_122])]) ).
fof(f6797,plain,
( ~ sP36
| ~ spl52_103 ),
inference(trivial_inequality_removal,[],[f6796]) ).
fof(f6796,plain,
( e10 != e10
| ~ sP36
| ~ spl52_103 ),
inference(forward_demodulation,[],[f642,f1352]) ).
fof(f642,plain,
( e10 != op1(e10,e10)
| ~ sP36 ),
inference(duplicate_literal_removal,[],[f612]) ).
fof(f612,plain,
( e10 != op1(e10,e10)
| e10 != op1(e10,e10)
| ~ sP36 ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,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(e11,e10) )
| ~ sP36 ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,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(e11,e10) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f6789,plain,
( spl52_275
| spl52_218
| spl52_25
| spl52_23
| ~ spl52_110
| ~ spl52_329 ),
inference(avatar_split_clause,[],[f6467,f3131,f1384,f975,f985,f1947,f2268]) ).
fof(f6467,plain,
( e10 = e11
| e10 = e13
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| ~ spl52_110
| ~ spl52_329 ),
inference(forward_demodulation,[],[f3701,f3133]) ).
fof(f3701,plain,
( e10 = e13
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11)
| ~ spl52_110 ),
inference(forward_demodulation,[],[f395,f1386]) ).
fof(f6757,plain,
( spl52_27
| ~ spl52_291
| ~ spl52_350 ),
inference(avatar_split_clause,[],[f6752,f6152,f2457,f995]) ).
fof(f6752,plain,
( e11 = e13
| ~ spl52_291
| ~ spl52_350 ),
inference(superposition,[],[f2459,f6154]) ).
fof(f6739,plain,
( spl52_339
| spl52_23
| spl52_25
| spl52_24
| ~ spl52_110
| ~ spl52_292
| ~ spl52_335 ),
inference(avatar_split_clause,[],[f6308,f3492,f2461,f1384,f980,f985,f975,f3630]) ).
fof(f6308,plain,
( e10 = e12
| e10 = e13
| e10 = e11
| e10 = op1(e13,e12)
| ~ spl52_110
| ~ spl52_292
| ~ spl52_335 ),
inference(forward_demodulation,[],[f5795,f3494]) ).
fof(f5795,plain,
( e10 = e13
| e10 = e11
| e10 = op1(e13,e12)
| e10 = op1(e13,e10)
| ~ spl52_110
| ~ spl52_292 ),
inference(forward_demodulation,[],[f5794,f1386]) ).
fof(f5794,plain,
( e10 = e11
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10)
| ~ spl52_292 ),
inference(forward_demodulation,[],[f410,f2463]) ).
fof(f6736,plain,
( spl52_338
| spl52_24
| spl52_25
| ~ spl52_289
| ~ spl52_340
| ~ spl52_348 ),
inference(avatar_split_clause,[],[f6700,f5900,f3644,f2443,f985,f980,f3607]) ).
fof(f6700,plain,
( e10 = e13
| e10 = e12
| e10 = op1(e11,e12)
| ~ spl52_289
| ~ spl52_340
| ~ spl52_348 ),
inference(forward_demodulation,[],[f6699,f5902]) ).
fof(f6699,plain,
( e10 = e12
| e10 = op1(e11,e12)
| e10 = op1(e11,e10)
| ~ spl52_289
| ~ spl52_340 ),
inference(duplicate_literal_removal,[],[f6698]) ).
fof(f6698,plain,
( e10 = e12
| e10 = e12
| e10 = op1(e11,e12)
| e10 = op1(e11,e10)
| ~ spl52_289
| ~ spl52_340 ),
inference(forward_demodulation,[],[f4031,f3646]) ).
fof(f6697,plain,
( spl52_26
| ~ spl52_296
| ~ spl52_354 ),
inference(avatar_split_clause,[],[f6660,f6638,f2486,f990]) ).
fof(f6660,plain,
( e11 = e12
| ~ spl52_296
| ~ spl52_354 ),
inference(forward_demodulation,[],[f2488,f6640]) ).
fof(f6696,plain,
( ~ spl52_109
| ~ spl52_110
| ~ spl52_292 ),
inference(avatar_split_clause,[],[f6323,f2461,f1384,f1380]) ).
fof(f1380,plain,
( spl52_109
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_109])]) ).
fof(f6323,plain,
( ~ sP45
| ~ spl52_110
| ~ spl52_292 ),
inference(trivial_inequality_removal,[],[f6322]) ).
fof(f6322,plain,
( e11 != e11
| ~ sP45
| ~ spl52_110
| ~ spl52_292 ),
inference(forward_demodulation,[],[f6321,f2463]) ).
fof(f6321,plain,
( e11 != op1(e13,e13)
| ~ sP45
| ~ spl52_110 ),
inference(trivial_inequality_removal,[],[f6320]) ).
fof(f6320,plain,
( e13 != e13
| e11 != op1(e13,e13)
| ~ sP45
| ~ spl52_110 ),
inference(forward_demodulation,[],[f570,f1386]) ).
fof(f570,plain,
( e13 != op1(e13,e11)
| e11 != op1(e13,e13)
| ~ sP45 ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,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(e13,e11) )
| ~ sP45 ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,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(e13,e11) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f6651,plain,
( spl52_339
| spl52_25
| spl52_24
| ~ spl52_110
| ~ spl52_290
| ~ spl52_335 ),
inference(avatar_split_clause,[],[f6633,f3492,f2447,f1384,f980,f985,f3630]) ).
fof(f6633,plain,
( e10 = e12
| e10 = e13
| e10 = op1(e13,e12)
| ~ spl52_110
| ~ spl52_290
| ~ spl52_335 ),
inference(duplicate_literal_removal,[],[f6632]) ).
fof(f6632,plain,
( e10 = e12
| e10 = e12
| e10 = e13
| e10 = op1(e13,e12)
| ~ spl52_110
| ~ spl52_290
| ~ spl52_335 ),
inference(forward_demodulation,[],[f6631,f3494]) ).
fof(f6631,plain,
( e10 = e12
| e10 = e13
| e10 = op1(e13,e12)
| e10 = op1(e13,e10)
| ~ spl52_110
| ~ spl52_290 ),
inference(forward_demodulation,[],[f5852,f2449]) ).
fof(f5852,plain,
( e10 = e13
| e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e10)
| ~ spl52_110 ),
inference(forward_demodulation,[],[f410,f1386]) ).
fof(f6641,plain,
( spl52_354
| spl52_27
| spl52_26
| ~ spl52_110
| ~ spl52_290
| ~ spl52_335 ),
inference(avatar_split_clause,[],[f6603,f3492,f2447,f1384,f990,f995,f6638]) ).
fof(f6603,plain,
( e11 = e12
| e11 = e13
| e11 = op1(e13,e12)
| ~ spl52_110
| ~ spl52_290
| ~ spl52_335 ),
inference(duplicate_literal_removal,[],[f6602]) ).
fof(f6602,plain,
( e11 = e12
| e11 = e12
| e11 = e13
| e11 = op1(e13,e12)
| ~ spl52_110
| ~ spl52_290
| ~ spl52_335 ),
inference(forward_demodulation,[],[f6210,f2449]) ).
fof(f6210,plain,
( e11 = e12
| e11 = e13
| e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| ~ spl52_110
| ~ spl52_335 ),
inference(forward_demodulation,[],[f5855,f3494]) ).
fof(f6628,plain,
( spl52_27
| spl52_26
| spl52_23
| ~ spl52_110
| ~ spl52_290
| ~ spl52_335
| ~ spl52_339 ),
inference(avatar_split_clause,[],[f6604,f3630,f3492,f2447,f1384,f975,f990,f995]) ).
fof(f6604,plain,
( e10 = e11
| e11 = e12
| e11 = e13
| ~ spl52_110
| ~ spl52_290
| ~ spl52_335
| ~ spl52_339 ),
inference(forward_demodulation,[],[f6603,f3632]) ).
fof(f6617,plain,
( spl52_70
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281 ),
inference(avatar_split_clause,[],[f4665,f2330,f2231,f1264,f1192]) ).
fof(f6599,plain,
( spl52_198
| ~ spl52_103
| ~ spl52_290
| ~ spl52_333 ),
inference(avatar_split_clause,[],[f6592,f3484,f2447,f1350,f1840]) ).
fof(f1840,plain,
( spl52_198
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_198])]) ).
fof(f6592,plain,
( e10 = op1(e13,e13)
| ~ spl52_103
| ~ spl52_290
| ~ spl52_333 ),
inference(forward_demodulation,[],[f2449,f5607]) ).
fof(f6578,plain,
( spl52_27
| spl52_25
| ~ spl52_103
| ~ spl52_288
| ~ spl52_329
| ~ spl52_333 ),
inference(avatar_split_clause,[],[f6575,f3484,f3131,f2439,f1350,f985,f995]) ).
fof(f6575,plain,
( e10 = e13
| e11 = e13
| ~ spl52_103
| ~ spl52_288
| ~ spl52_329
| ~ spl52_333 ),
inference(duplicate_literal_removal,[],[f6574]) ).
fof(f6574,plain,
( e10 = e13
| e10 = e13
| e11 = e13
| ~ spl52_103
| ~ spl52_288
| ~ spl52_329
| ~ spl52_333 ),
inference(forward_demodulation,[],[f6573,f1352]) ).
fof(f6573,plain,
( op1(e10,e10) = e13
| e10 = e13
| e11 = e13
| ~ spl52_103
| ~ spl52_288
| ~ spl52_329
| ~ spl52_333 ),
inference(forward_demodulation,[],[f6572,f5607]) ).
fof(f6572,plain,
( e10 = e13
| e11 = e13
| e13 = op1(e10,e12)
| ~ spl52_103
| ~ spl52_288
| ~ spl52_329
| ~ spl52_333 ),
inference(forward_demodulation,[],[f3731,f5607]) ).
fof(f3731,plain,
( e12 = e13
| e11 = e13
| e13 = op1(e10,e12)
| ~ spl52_288
| ~ spl52_329
| ~ spl52_333 ),
inference(duplicate_literal_removal,[],[f3730]) ).
fof(f3730,plain,
( e12 = e13
| e11 = e13
| e12 = e13
| e13 = op1(e10,e12)
| ~ spl52_288
| ~ spl52_329
| ~ spl52_333 ),
inference(forward_demodulation,[],[f3729,f3486]) ).
fof(f3729,plain,
( e11 = e13
| e12 = e13
| e13 = op1(e10,e12)
| op1(e10,e10) = e13
| ~ spl52_288
| ~ spl52_329 ),
inference(forward_demodulation,[],[f3728,f3133]) ).
fof(f3728,plain,
( e12 = e13
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13
| ~ spl52_288 ),
inference(forward_demodulation,[],[f392,f2441]) ).
fof(f6560,plain,
( spl52_26
| spl52_27
| spl52_23
| ~ spl52_106
| ~ spl52_110
| ~ spl52_335
| ~ spl52_339 ),
inference(avatar_split_clause,[],[f6505,f3630,f3492,f1384,f1366,f975,f995,f990]) ).
fof(f6505,plain,
( e10 = e11
| e11 = e13
| e11 = e12
| ~ spl52_106
| ~ spl52_110
| ~ spl52_335
| ~ spl52_339 ),
inference(forward_demodulation,[],[f6504,f3632]) ).
fof(f6504,plain,
( e11 = e13
| e11 = e12
| e11 = op1(e13,e12)
| ~ spl52_106
| ~ spl52_110
| ~ spl52_335 ),
inference(duplicate_literal_removal,[],[f6503]) ).
fof(f6503,plain,
( e11 = e13
| e11 = e12
| e11 = e13
| e11 = op1(e13,e12)
| ~ spl52_106
| ~ spl52_110
| ~ spl52_335 ),
inference(forward_demodulation,[],[f6210,f1368]) ).
fof(f6550,plain,
( spl52_268
| ~ spl52_318
| ~ spl52_321 ),
inference(avatar_split_clause,[],[f4453,f2914,f2896,f2231]) ).
fof(f6490,plain,
( spl52_27
| ~ spl52_106
| ~ spl52_292 ),
inference(avatar_split_clause,[],[f6489,f2461,f1366,f995]) ).
fof(f6489,plain,
( e11 = e13
| ~ spl52_106
| ~ spl52_292 ),
inference(forward_demodulation,[],[f1368,f2463]) ).
fof(f6475,plain,
( spl52_28
| ~ spl52_289
| ~ spl52_351 ),
inference(avatar_split_clause,[],[f6474,f6156,f2443,f1000]) ).
fof(f6474,plain,
( e12 = e13
| ~ spl52_289
| ~ spl52_351 ),
inference(forward_demodulation,[],[f2445,f6158]) ).
fof(f6466,plain,
( spl52_338
| spl52_25
| spl52_24
| ~ spl52_340
| ~ spl52_348
| ~ spl52_351 ),
inference(avatar_split_clause,[],[f6445,f6156,f5900,f3644,f980,f985,f3607]) ).
fof(f6445,plain,
( e10 = e12
| e10 = e13
| e10 = op1(e11,e12)
| ~ spl52_340
| ~ spl52_348
| ~ spl52_351 ),
inference(forward_demodulation,[],[f6417,f3646]) ).
fof(f6417,plain,
( e10 = e13
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| ~ spl52_348
| ~ spl52_351 ),
inference(duplicate_literal_removal,[],[f6416]) ).
fof(f6416,plain,
( e10 = e13
| e10 = e13
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| ~ spl52_348
| ~ spl52_351 ),
inference(forward_demodulation,[],[f6307,f6158]) ).
fof(f6307,plain,
( e10 = e13
| e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| ~ spl52_348 ),
inference(forward_demodulation,[],[f394,f5902]) ).
fof(f6440,plain,
( spl52_261
| ~ spl52_114
| ~ spl52_335
| ~ spl52_353 ),
inference(avatar_split_clause,[],[f6428,f6338,f3492,f1402,f2185]) ).
fof(f2185,plain,
( spl52_261
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_261])]) ).
fof(f6428,plain,
( e11 = op1(e13,e10)
| ~ spl52_114
| ~ spl52_335
| ~ spl52_353 ),
inference(forward_demodulation,[],[f3494,f6342]) ).
fof(f6390,plain,
( spl52_23
| ~ spl52_103
| ~ spl52_114
| ~ spl52_333
| ~ spl52_353 ),
inference(avatar_split_clause,[],[f6387,f6338,f3484,f1402,f1350,f975]) ).
fof(f6387,plain,
( e10 = e11
| ~ spl52_103
| ~ spl52_114
| ~ spl52_333
| ~ spl52_353 ),
inference(forward_demodulation,[],[f6386,f1352]) ).
fof(f6386,plain,
( op1(e10,e10) = e11
| ~ spl52_114
| ~ spl52_333
| ~ spl52_353 ),
inference(forward_demodulation,[],[f3486,f6342]) ).
fof(f6364,plain,
( spl52_25
| ~ spl52_103
| ~ spl52_336 ),
inference(avatar_split_clause,[],[f6363,f3551,f1350,f985]) ).
fof(f6363,plain,
( e10 = e13
| ~ spl52_103
| ~ spl52_336 ),
inference(forward_demodulation,[],[f3553,f1352]) ).
fof(f6351,plain,
( spl52_275
| spl52_218
| spl52_25
| ~ spl52_110
| ~ spl52_349 ),
inference(avatar_split_clause,[],[f6306,f5923,f1384,f985,f1947,f2268]) ).
fof(f6306,plain,
( e10 = e13
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| ~ spl52_110
| ~ spl52_349 ),
inference(duplicate_literal_removal,[],[f6305]) ).
fof(f6305,plain,
( e10 = e13
| e10 = e13
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| ~ spl52_110
| ~ spl52_349 ),
inference(forward_demodulation,[],[f3701,f5925]) ).
fof(f6341,plain,
( spl52_104
| spl52_353
| spl52_27
| ~ spl52_110
| ~ spl52_349 ),
inference(avatar_split_clause,[],[f6212,f5923,f1384,f995,f6338,f1355]) ).
fof(f6212,plain,
( e11 = e13
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| ~ spl52_110
| ~ spl52_349 ),
inference(duplicate_literal_removal,[],[f6211]) ).
fof(f6211,plain,
( e11 = e13
| e11 = e13
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| ~ spl52_110
| ~ spl52_349 ),
inference(forward_demodulation,[],[f5846,f5925]) ).
fof(f5846,plain,
( e11 = e13
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11)
| ~ spl52_110 ),
inference(forward_demodulation,[],[f397,f1386]) ).
fof(f6324,plain,
( ~ spl52_109
| ~ spl52_110
| ~ spl52_292 ),
inference(avatar_split_clause,[],[f6323,f2461,f1384,f1380]) ).
fof(f6319,plain,
( ~ spl52_113
| ~ spl52_292
| ~ spl52_110 ),
inference(avatar_split_clause,[],[f6243,f1384,f2461,f1398]) ).
fof(f1398,plain,
( spl52_113
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_113])]) ).
fof(f6243,plain,
( e11 != op1(e13,e13)
| ~ sP41
| ~ spl52_110 ),
inference(trivial_inequality_removal,[],[f6242]) ).
fof(f6242,plain,
( e13 != e13
| e11 != op1(e13,e13)
| ~ sP41
| ~ spl52_110 ),
inference(forward_demodulation,[],[f590,f1386]) ).
fof(f590,plain,
( e13 != op1(e13,e11)
| e11 != op1(e13,e13)
| ~ sP41 ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,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(e12,e11) )
| ~ sP41 ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,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(e12,e11) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f6304,plain,
( spl52_104
| ~ spl52_123
| ~ spl52_348
| ~ spl52_351 ),
inference(avatar_split_clause,[],[f6274,f6156,f5900,f1443,f1355]) ).
fof(f6274,plain,
( e11 = op1(e11,e11)
| ~ spl52_123
| ~ spl52_348
| ~ spl52_351 ),
inference(forward_demodulation,[],[f6158,f6247]) ).
fof(f6277,plain,
( spl52_23
| ~ spl52_123
| ~ spl52_275
| ~ spl52_348
| ~ spl52_351 ),
inference(avatar_split_clause,[],[f6275,f6156,f5900,f2268,f1443,f975]) ).
fof(f6275,plain,
( e10 = e11
| ~ spl52_123
| ~ spl52_275
| ~ spl52_348
| ~ spl52_351 ),
inference(forward_demodulation,[],[f6274,f2269]) ).
fof(f6251,plain,
( spl52_28
| ~ spl52_288
| ~ spl52_350 ),
inference(avatar_split_clause,[],[f6161,f6152,f2439,f1000]) ).
fof(f6161,plain,
( e12 = e13
| ~ spl52_288
| ~ spl52_350 ),
inference(superposition,[],[f6154,f2441]) ).
fof(f6228,plain,
( spl52_27
| ~ spl52_118
| ~ spl52_288
| ~ spl52_295
| ~ spl52_350 ),
inference(avatar_split_clause,[],[f6227,f6152,f2482,f2439,f1420,f995]) ).
fof(f6227,plain,
( e11 = e13
| ~ spl52_118
| ~ spl52_288
| ~ spl52_295
| ~ spl52_350 ),
inference(forward_demodulation,[],[f6226,f1422]) ).
fof(f6226,plain,
( e13 = op1(e11,e13)
| ~ spl52_288
| ~ spl52_295
| ~ spl52_350 ),
inference(forward_demodulation,[],[f2484,f6161]) ).
fof(f6205,plain,
( spl52_27
| ~ spl52_118
| ~ spl52_351 ),
inference(avatar_split_clause,[],[f6202,f6156,f1420,f995]) ).
fof(f6202,plain,
( e11 = e13
| ~ spl52_118
| ~ spl52_351 ),
inference(forward_demodulation,[],[f6158,f1422]) ).
fof(f6204,plain,
( spl52_28
| ~ spl52_340
| ~ spl52_352 ),
inference(avatar_split_clause,[],[f6200,f6191,f3644,f1000]) ).
fof(f6200,plain,
( e12 = e13
| ~ spl52_340
| ~ spl52_352 ),
inference(forward_demodulation,[],[f3646,f6193]) ).
fof(f6195,plain,
( spl52_195
| ~ spl52_288
| ~ spl52_338
| ~ spl52_350 ),
inference(avatar_split_clause,[],[f6189,f6152,f3607,f2439,f1824]) ).
fof(f6189,plain,
( e10 = op1(e11,e13)
| ~ spl52_288
| ~ spl52_338
| ~ spl52_350 ),
inference(forward_demodulation,[],[f3609,f6161]) ).
fof(f6194,plain,
( spl52_352
| ~ spl52_288
| ~ spl52_340
| ~ spl52_350 ),
inference(avatar_split_clause,[],[f6188,f6152,f3644,f2439,f6191]) ).
fof(f6188,plain,
( e13 = op1(e11,e11)
| ~ spl52_288
| ~ spl52_340
| ~ spl52_350 ),
inference(forward_demodulation,[],[f3646,f6161]) ).
fof(f6166,plain,
( spl52_169
| spl52_275
| spl52_338
| spl52_23
| ~ spl52_118 ),
inference(avatar_split_clause,[],[f3555,f1420,f975,f3607,f2268,f1687]) ).
fof(f3555,plain,
( e10 = e11
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10)
| ~ spl52_118 ),
inference(forward_demodulation,[],[f394,f1422]) ).
fof(f6159,plain,
( spl52_350
| spl52_351
| spl52_106
| spl52_25 ),
inference(avatar_split_clause,[],[f749,f985,f1366,f6156,f6152]) ).
fof(f749,plain,
( e10 = e13
| e13 = op1(e13,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(forward_demodulation,[],[f417,f722]) ).
fof(f722,plain,
e10 = op1(e12,e13),
inference(forward_demodulation,[],[f335,f337]) ).
fof(f337,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e13 = op1(e12,e12)
& e11 = op1(e12,op1(e12,op1(e12,e12)))
& e10 = op1(e12,op1(e12,e12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f335,plain,
e10 = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f417,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f6145,plain,
( spl52_46
| ~ spl52_254
| ~ spl52_301
| ~ spl52_306 ),
inference(avatar_split_clause,[],[f2732,f2568,f2522,f2133,f1082]) ).
fof(f2732,plain,
( e21 = h4(e10)
| ~ spl52_254
| ~ spl52_301
| ~ spl52_306 ),
inference(forward_demodulation,[],[f2729,f2570]) ).
fof(f6141,plain,
( spl52_312
| spl52_310
| spl52_3
| spl52_1
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281
| ~ spl52_298 ),
inference(avatar_split_clause,[],[f4923,f2504,f2330,f2231,f1264,f865,f875,f2609,f2619]) ).
fof(f4923,plain,
( e20 = e21
| e20 = e23
| e20 = op2(e21,e22)
| e20 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281
| ~ spl52_298 ),
inference(forward_demodulation,[],[f3746,f2233]) ).
fof(f3746,plain,
( e20 = h2(e11)
| e20 = e23
| e20 = op2(e21,e22)
| e20 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_281
| ~ spl52_298 ),
inference(forward_demodulation,[],[f2943,f2334]) ).
fof(f2943,plain,
( e20 = e23
| e20 = h2(e13)
| e20 = op2(e21,e22)
| e20 = op2(e21,e20)
| ~ spl52_298 ),
inference(forward_demodulation,[],[f740,f2506]) ).
fof(f740,plain,
( e20 = h2(e13)
| e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e20) ),
inference(forward_demodulation,[],[f346,f231]) ).
fof(f346,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f6134,plain,
( spl52_86
| ~ spl52_281
| ~ spl52_318
| ~ spl52_321 ),
inference(avatar_split_clause,[],[f6035,f2914,f2896,f2330,f1270]) ).
fof(f6035,plain,
( e21 = op2(e21,e21)
| ~ spl52_281
| ~ spl52_318
| ~ spl52_321 ),
inference(forward_demodulation,[],[f2332,f4453]) ).
fof(f6123,plain,
( ~ spl52_94
| ~ spl52_70
| spl52_140 ),
inference(avatar_split_clause,[],[f1532,f1528,f1192,f1309]) ).
fof(f6105,plain,
( spl52_5
| ~ spl52_85
| ~ spl52_281
| ~ spl52_293
| ~ spl52_318
| ~ spl52_321 ),
inference(avatar_split_clause,[],[f6034,f2914,f2896,f2466,f2330,f1264,f885]) ).
fof(f6034,plain,
( e21 = e23
| ~ spl52_85
| ~ spl52_281
| ~ spl52_293
| ~ spl52_318
| ~ spl52_321 ),
inference(forward_demodulation,[],[f6033,f4453]) ).
fof(f5963,plain,
( spl52_310
| spl52_320
| spl52_1
| spl52_2
| ~ spl52_94
| ~ spl52_322 ),
inference(avatar_split_clause,[],[f5938,f3020,f1309,f870,f865,f2907,f2609]) ).
fof(f2907,plain,
( spl52_320
<=> e20 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_320])]) ).
fof(f5938,plain,
( e20 = e22
| e20 = e21
| e20 = h2(e13)
| e20 = op2(e21,e22)
| ~ spl52_94
| ~ spl52_322 ),
inference(forward_demodulation,[],[f2864,f3022]) ).
fof(f2864,plain,
( e20 = e21
| e20 = h2(e13)
| e20 = op2(e21,e22)
| e20 = op2(e21,e20)
| ~ spl52_94 ),
inference(forward_demodulation,[],[f740,f1311]) ).
fof(f5949,plain,
( spl52_152
| spl52_293
| spl52_5
| spl52_6
| ~ spl52_94
| ~ spl52_322 ),
inference(avatar_split_clause,[],[f5936,f3020,f1309,f890,f885,f2466,f1593]) ).
fof(f1593,plain,
( spl52_152
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_152])]) ).
fof(f5936,plain,
( e22 = e23
| e21 = e23
| e23 = h2(e13)
| e23 = op2(e21,e22)
| ~ spl52_94
| ~ spl52_322 ),
inference(forward_demodulation,[],[f5318,f3022]) ).
fof(f5318,plain,
( e21 = e23
| e23 = h2(e13)
| e23 = op2(e21,e22)
| e23 = op2(e21,e20)
| ~ spl52_94 ),
inference(forward_demodulation,[],[f734,f1311]) ).
fof(f734,plain,
( e23 = h2(e13)
| e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e20) ),
inference(forward_demodulation,[],[f352,f231]) ).
fof(f352,plain,
( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f5944,plain,
( spl52_250
| spl52_320
| spl52_1
| spl52_2
| ~ spl52_156
| ~ spl52_344 ),
inference(avatar_split_clause,[],[f5932,f4262,f1615,f870,f865,f2907,f2113]) ).
fof(f2113,plain,
( spl52_250
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_250])]) ).
fof(f5932,plain,
( e20 = e22
| e20 = e21
| e20 = h2(e13)
| e20 = op2(e22,e21)
| ~ spl52_156
| ~ spl52_344 ),
inference(forward_demodulation,[],[f5931,f4264]) ).
fof(f4264,plain,
( e22 = op2(e20,e21)
| ~ spl52_344 ),
inference(avatar_component_clause,[],[f4262]) ).
fof(f5931,plain,
( e20 = e21
| e20 = h2(e13)
| e20 = op2(e22,e21)
| e20 = op2(e20,e21)
| ~ spl52_156 ),
inference(forward_demodulation,[],[f739,f1616]) ).
fof(f739,plain,
( e20 = h2(e13)
| e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e20,e21) ),
inference(forward_demodulation,[],[f347,f231]) ).
fof(f347,plain,
( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f5930,plain,
( ~ spl52_77
| spl52_163
| ~ spl52_312 ),
inference(avatar_split_clause,[],[f5157,f2619,f1652,f1224]) ).
fof(f1652,plain,
( spl52_163
<=> op2(e21,e20) = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_163])]) ).
fof(f5157,plain,
( e20 != h1(e13)
| spl52_163
| ~ spl52_312 ),
inference(superposition,[],[f1654,f2620]) ).
fof(f1654,plain,
( op2(e21,e20) != h1(e13)
| spl52_163 ),
inference(avatar_component_clause,[],[f1652]) ).
fof(f5929,plain,
( spl52_312
| spl52_310
| spl52_1
| spl52_284
| ~ spl52_85
| ~ spl52_94
| ~ spl52_281 ),
inference(avatar_split_clause,[],[f5473,f2330,f1309,f1264,f2405,f865,f2609,f2619]) ).
fof(f2405,plain,
( spl52_284
<=> e20 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_284])]) ).
fof(f5473,plain,
( e20 = h2(e11)
| e20 = e21
| e20 = op2(e21,e22)
| e20 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_94
| ~ spl52_281 ),
inference(forward_demodulation,[],[f2864,f2334]) ).
fof(f5926,plain,
( spl52_336
| spl52_349
| spl52_28
| spl52_27
| ~ spl52_288
| ~ spl52_330 ),
inference(avatar_split_clause,[],[f5804,f3135,f2439,f995,f1000,f5923,f3551]) ).
fof(f5804,plain,
( e11 = e13
| e12 = e13
| e13 = op1(e10,e11)
| op1(e10,e10) = e13
| ~ spl52_288
| ~ spl52_330 ),
inference(forward_demodulation,[],[f3728,f3137]) ).
fof(f5906,plain,
( spl52_160
| spl52_343
| spl52_1
| spl52_5
| ~ spl52_77
| ~ spl52_297 ),
inference(avatar_split_clause,[],[f4416,f2500,f1224,f885,f865,f4103,f1637]) ).
fof(f4103,plain,
( spl52_343
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_343])]) ).
fof(f4416,plain,
( e21 = e23
| e20 = e21
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| ~ spl52_77
| ~ spl52_297 ),
inference(forward_demodulation,[],[f2577,f2502]) ).
fof(f2577,plain,
( e20 = e21
| e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| ~ spl52_77 ),
inference(forward_demodulation,[],[f746,f1225]) ).
fof(f746,plain,
( e21 = h1(e13)
| e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21) ),
inference(forward_demodulation,[],[f340,f227]) ).
fof(f340,plain,
( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f5903,plain,
( spl52_348
| spl52_28
| spl52_27
| spl52_25
| ~ spl52_103
| ~ spl52_259
| ~ spl52_335 ),
inference(avatar_split_clause,[],[f5891,f3492,f2170,f1350,f985,f995,f1000,f5900]) ).
fof(f5891,plain,
( e10 = e13
| e11 = e13
| e12 = e13
| e13 = op1(e11,e10)
| ~ spl52_103
| ~ spl52_259
| ~ spl52_335 ),
inference(forward_demodulation,[],[f3505,f1352]) ).
fof(f3505,plain,
( e11 = e13
| e12 = e13
| e13 = op1(e11,e10)
| op1(e10,e10) = e13
| ~ spl52_259
| ~ spl52_335 ),
inference(forward_demodulation,[],[f3504,f2172]) ).
fof(f3504,plain,
( e12 = e13
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13
| ~ spl52_335 ),
inference(forward_demodulation,[],[f393,f3494]) ).
fof(f5885,plain,
( spl52_112
| spl52_27
| spl52_28
| spl52_25
| ~ spl52_103
| ~ spl52_259
| ~ spl52_334 ),
inference(avatar_split_clause,[],[f5884,f3488,f2170,f1350,f985,f1000,f995,f1393]) ).
fof(f5884,plain,
( e10 = e13
| e12 = e13
| e11 = e13
| e13 = op1(e13,e10)
| ~ spl52_103
| ~ spl52_259
| ~ spl52_334 ),
inference(forward_demodulation,[],[f5883,f1352]) ).
fof(f5882,plain,
( spl52_339
| spl52_198
| spl52_25
| ~ spl52_110
| ~ spl52_112 ),
inference(avatar_split_clause,[],[f5854,f1393,f1384,f985,f1840,f3630]) ).
fof(f5854,plain,
( e10 = e13
| e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| ~ spl52_110
| ~ spl52_112 ),
inference(duplicate_literal_removal,[],[f5853]) ).
fof(f5853,plain,
( e10 = e13
| e10 = e13
| e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| ~ spl52_110
| ~ spl52_112 ),
inference(forward_demodulation,[],[f5852,f1395]) ).
fof(f5874,plain,
( spl52_296
| spl52_290
| spl52_28
| ~ spl52_110
| ~ spl52_112 ),
inference(avatar_split_clause,[],[f5851,f1393,f1384,f1000,f2447,f2486]) ).
fof(f5851,plain,
( e12 = e13
| e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| ~ spl52_110
| ~ spl52_112 ),
inference(duplicate_literal_removal,[],[f5850]) ).
fof(f5850,plain,
( e12 = e13
| e12 = e13
| e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| ~ spl52_110
| ~ spl52_112 ),
inference(forward_demodulation,[],[f5849,f1395]) ).
fof(f5849,plain,
( e12 = e13
| e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e10)
| ~ spl52_110 ),
inference(forward_demodulation,[],[f414,f1386]) ).
fof(f5873,plain,
( ~ spl52_111
| ~ spl52_103 ),
inference(avatar_split_clause,[],[f650,f1350,f1389]) ).
fof(f1389,plain,
( spl52_111
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_111])]) ).
fof(f650,plain,
( e10 != op1(e10,e10)
| ~ sP44 ),
inference(duplicate_literal_removal,[],[f572]) ).
fof(f572,plain,
( e10 != op1(e10,e10)
| e10 != op1(e10,e10)
| ~ sP44 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,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(e13,e10) )
| ~ sP44 ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,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(e13,e10) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f5866,plain,
( ~ spl52_317
| ~ spl52_84
| spl52_332 ),
inference(avatar_split_clause,[],[f5069,f3449,f1259,f2820]) ).
fof(f2820,plain,
( spl52_317
<=> e23 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_317])]) ).
fof(f3449,plain,
( spl52_332
<=> op2(e20,e20) = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_332])]) ).
fof(f5069,plain,
( e23 != h1(e13)
| ~ spl52_84
| spl52_332 ),
inference(superposition,[],[f3450,f1261]) ).
fof(f3450,plain,
( op2(e20,e20) != e23
| spl52_332 ),
inference(avatar_component_clause,[],[f3449]) ).
fof(f5843,plain,
( spl52_339
| spl52_23
| spl52_25
| ~ spl52_110
| ~ spl52_112
| ~ spl52_292 ),
inference(avatar_split_clause,[],[f5797,f2461,f1393,f1384,f985,f975,f3630]) ).
fof(f5797,plain,
( e10 = e13
| e10 = e11
| e10 = op1(e13,e12)
| ~ spl52_110
| ~ spl52_112
| ~ spl52_292 ),
inference(duplicate_literal_removal,[],[f5796]) ).
fof(f5796,plain,
( e10 = e13
| e10 = e13
| e10 = e11
| e10 = op1(e13,e12)
| ~ spl52_110
| ~ spl52_112
| ~ spl52_292 ),
inference(forward_demodulation,[],[f5795,f1395]) ).
fof(f5830,plain,
( spl52_25
| spl52_28
| spl52_27
| ~ spl52_129
| ~ spl52_288
| ~ spl52_330
| ~ spl52_333 ),
inference(avatar_split_clause,[],[f5816,f3484,f3135,f2439,f1470,f995,f1000,f985]) ).
fof(f5816,plain,
( e11 = e13
| e12 = e13
| e10 = e13
| ~ spl52_129
| ~ spl52_288
| ~ spl52_330
| ~ spl52_333 ),
inference(forward_demodulation,[],[f5815,f3137]) ).
fof(f5815,plain,
( e12 = e13
| e10 = e13
| e13 = op1(e10,e12)
| ~ spl52_129
| ~ spl52_288
| ~ spl52_333 ),
inference(duplicate_literal_removal,[],[f5814]) ).
fof(f5814,plain,
( e12 = e13
| e12 = e13
| e10 = e13
| e13 = op1(e10,e12)
| ~ spl52_129
| ~ spl52_288
| ~ spl52_333 ),
inference(forward_demodulation,[],[f5718,f2441]) ).
fof(f5718,plain,
( e12 = e13
| e10 = e13
| e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| ~ spl52_129
| ~ spl52_333 ),
inference(forward_demodulation,[],[f5717,f3486]) ).
fof(f5717,plain,
( e10 = e13
| e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| op1(e10,e10) = e13
| ~ spl52_129 ),
inference(forward_demodulation,[],[f392,f1472]) ).
fof(f5828,plain,
( ~ spl52_72
| ~ spl52_83
| spl52_328 ),
inference(avatar_split_clause,[],[f4987,f3108,f1254,f1201]) ).
fof(f4987,plain,
( e23 != h4(e13)
| ~ spl52_83
| spl52_328 ),
inference(superposition,[],[f3109,f1256]) ).
fof(f3109,plain,
( e23 != op2(e23,e23)
| spl52_328 ),
inference(avatar_component_clause,[],[f3108]) ).
fof(f5811,plain,
( ~ spl52_129
| ~ spl52_103
| spl52_199 ),
inference(avatar_split_clause,[],[f1849,f1845,f1350,f1470]) ).
fof(f5781,plain,
( spl52_26
| ~ spl52_290
| ~ spl52_292 ),
inference(avatar_split_clause,[],[f5756,f2461,f2447,f990]) ).
fof(f5756,plain,
( e11 = e12
| ~ spl52_290
| ~ spl52_292 ),
inference(superposition,[],[f2463,f2449]) ).
fof(f5764,plain,
( spl52_185
| spl52_27
| spl52_25
| spl52_28
| ~ spl52_129
| ~ spl52_291
| ~ spl52_333 ),
inference(avatar_split_clause,[],[f5725,f3484,f2457,f1470,f1000,f985,f995,f1770]) ).
fof(f5725,plain,
( e12 = e13
| e10 = e13
| e11 = e13
| e13 = op1(e10,e12)
| ~ spl52_129
| ~ spl52_291
| ~ spl52_333 ),
inference(forward_demodulation,[],[f5724,f3486]) ).
fof(f5724,plain,
( e10 = e13
| e11 = e13
| e13 = op1(e10,e12)
| op1(e10,e10) = e13
| ~ spl52_129
| ~ spl52_291 ),
inference(forward_demodulation,[],[f3892,f1472]) ).
fof(f3892,plain,
( e11 = e13
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13
| ~ spl52_291 ),
inference(forward_demodulation,[],[f392,f2459]) ).
fof(f5750,plain,
( spl52_292
| spl52_23
| spl52_27
| ~ spl52_110
| ~ spl52_112
| ~ spl52_339 ),
inference(avatar_split_clause,[],[f5741,f3630,f1393,f1384,f995,f975,f2461]) ).
fof(f5741,plain,
( e11 = e13
| e10 = e11
| e11 = op1(e13,e13)
| ~ spl52_110
| ~ spl52_112
| ~ spl52_339 ),
inference(duplicate_literal_removal,[],[f5740]) ).
fof(f5740,plain,
( e11 = e13
| e11 = e13
| e10 = e11
| e11 = op1(e13,e13)
| ~ spl52_110
| ~ spl52_112
| ~ spl52_339 ),
inference(forward_demodulation,[],[f5739,f1395]) ).
fof(f5739,plain,
( e11 = e13
| e10 = e11
| e11 = op1(e13,e13)
| e11 = op1(e13,e10)
| ~ spl52_110
| ~ spl52_339 ),
inference(forward_demodulation,[],[f5738,f1386]) ).
fof(f5738,plain,
( e10 = e11
| e11 = op1(e13,e13)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10)
| ~ spl52_339 ),
inference(forward_demodulation,[],[f412,f3632]) ).
fof(f5742,plain,
( spl52_290
| spl52_24
| spl52_28
| ~ spl52_110
| ~ spl52_112
| ~ spl52_339 ),
inference(avatar_split_clause,[],[f5705,f3630,f1393,f1384,f1000,f980,f2447]) ).
fof(f5705,plain,
( e12 = e13
| e10 = e12
| e12 = op1(e13,e13)
| ~ spl52_110
| ~ spl52_112
| ~ spl52_339 ),
inference(duplicate_literal_removal,[],[f5704]) ).
fof(f5704,plain,
( e12 = e13
| e12 = e13
| e10 = e12
| e12 = op1(e13,e13)
| ~ spl52_110
| ~ spl52_112
| ~ spl52_339 ),
inference(forward_demodulation,[],[f5703,f1395]) ).
fof(f5703,plain,
( e12 = e13
| e10 = e12
| e12 = op1(e13,e13)
| e12 = op1(e13,e10)
| ~ spl52_110
| ~ spl52_339 ),
inference(forward_demodulation,[],[f5702,f1386]) ).
fof(f5702,plain,
( e10 = e12
| e12 = op1(e13,e13)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10)
| ~ spl52_339 ),
inference(forward_demodulation,[],[f414,f3632]) ).
fof(f5736,plain,
( spl52_25
| spl52_28
| spl52_27
| ~ spl52_289
| ~ spl52_291
| ~ spl52_292 ),
inference(avatar_split_clause,[],[f5723,f2461,f2457,f2443,f995,f1000,f985]) ).
fof(f5723,plain,
( e11 = e13
| e12 = e13
| e10 = e13
| ~ spl52_289
| ~ spl52_291
| ~ spl52_292 ),
inference(duplicate_literal_removal,[],[f5722]) ).
fof(f5722,plain,
( e11 = e13
| e11 = e13
| e12 = e13
| e10 = e13
| ~ spl52_289
| ~ spl52_291
| ~ spl52_292 ),
inference(forward_demodulation,[],[f5707,f2463]) ).
fof(f5707,plain,
( e11 = e13
| e12 = e13
| e10 = e13
| e13 = op1(e13,e13)
| ~ spl52_289
| ~ spl52_291 ),
inference(forward_demodulation,[],[f5706,f2459]) ).
fof(f5706,plain,
( e12 = e13
| e10 = e13
| e13 = op1(e13,e13)
| e13 = op1(e10,e13)
| ~ spl52_289 ),
inference(forward_demodulation,[],[f749,f2445]) ).
fof(f5715,plain,
( spl52_23
| ~ spl52_127
| ~ spl52_330 ),
inference(avatar_split_clause,[],[f5713,f3135,f1461,f975]) ).
fof(f5713,plain,
( e10 = e11
| ~ spl52_127
| ~ spl52_330 ),
inference(forward_demodulation,[],[f3137,f1463]) ).
fof(f5708,plain,
( spl52_336
| spl52_27
| spl52_25
| ~ spl52_127
| ~ spl52_129
| ~ spl52_291 ),
inference(avatar_split_clause,[],[f5675,f2457,f1470,f1461,f985,f995,f3551]) ).
fof(f5675,plain,
( e10 = e13
| e11 = e13
| op1(e10,e10) = e13
| ~ spl52_127
| ~ spl52_129
| ~ spl52_291 ),
inference(duplicate_literal_removal,[],[f5674]) ).
fof(f5674,plain,
( e10 = e13
| e10 = e13
| e11 = e13
| op1(e10,e10) = e13
| ~ spl52_127
| ~ spl52_129
| ~ spl52_291 ),
inference(forward_demodulation,[],[f5673,f1472]) ).
fof(f5673,plain,
( e10 = e13
| e11 = e13
| e13 = op1(e10,e11)
| op1(e10,e10) = e13
| ~ spl52_127
| ~ spl52_291 ),
inference(forward_demodulation,[],[f3892,f1463]) ).
fof(f5701,plain,
( spl52_24
| spl52_28
| ~ spl52_106
| ~ spl52_110
| ~ spl52_112
| ~ spl52_339 ),
inference(avatar_split_clause,[],[f5680,f3630,f1393,f1384,f1366,f1000,f980]) ).
fof(f5680,plain,
( e12 = e13
| e10 = e12
| ~ spl52_106
| ~ spl52_110
| ~ spl52_112
| ~ spl52_339 ),
inference(duplicate_literal_removal,[],[f5679]) ).
fof(f5679,plain,
( e12 = e13
| e12 = e13
| e10 = e12
| ~ spl52_106
| ~ spl52_110
| ~ spl52_112
| ~ spl52_339 ),
inference(forward_demodulation,[],[f3715,f1395]) ).
fof(f3715,plain,
( e12 = e13
| e10 = e12
| e12 = op1(e13,e10)
| ~ spl52_106
| ~ spl52_110
| ~ spl52_339 ),
inference(duplicate_literal_removal,[],[f3714]) ).
fof(f3714,plain,
( e12 = e13
| e10 = e12
| e12 = e13
| e12 = op1(e13,e10)
| ~ spl52_106
| ~ spl52_110
| ~ spl52_339 ),
inference(forward_demodulation,[],[f3713,f1386]) ).
fof(f3713,plain,
( e10 = e12
| e12 = e13
| e12 = op1(e13,e11)
| e12 = op1(e13,e10)
| ~ spl52_106
| ~ spl52_339 ),
inference(forward_demodulation,[],[f3712,f3632]) ).
fof(f3712,plain,
( e12 = e13
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10)
| ~ spl52_106 ),
inference(forward_demodulation,[],[f414,f1368]) ).
fof(f5677,plain,
( spl52_26
| ~ spl52_120
| ~ spl52_295 ),
inference(avatar_split_clause,[],[f5651,f2482,f1429,f990]) ).
fof(f5651,plain,
( e11 = e12
| ~ spl52_120
| ~ spl52_295 ),
inference(forward_demodulation,[],[f2484,f1431]) ).
fof(f5652,plain,
( spl52_26
| ~ spl52_68
| ~ spl52_106
| ~ spl52_110
| ~ spl52_112
| ~ spl52_120
| ~ spl52_347 ),
inference(avatar_split_clause,[],[f5647,f5580,f1429,f1393,f1384,f1366,f1182,f990]) ).
fof(f5647,plain,
( e11 = e12
| ~ spl52_68
| ~ spl52_106
| ~ spl52_110
| ~ spl52_112
| ~ spl52_120
| ~ spl52_347 ),
inference(duplicate_literal_removal,[],[f5646]) ).
fof(f5646,plain,
( e11 = e12
| e11 = e12
| ~ spl52_68
| ~ spl52_106
| ~ spl52_110
| ~ spl52_112
| ~ spl52_120
| ~ spl52_347 ),
inference(forward_demodulation,[],[f5645,f5625]) ).
fof(f5645,plain,
( e12 = e13
| e11 = e12
| ~ spl52_68
| ~ spl52_106
| ~ spl52_110
| ~ spl52_112
| ~ spl52_120
| ~ spl52_347 ),
inference(forward_demodulation,[],[f5644,f1395]) ).
fof(f5644,plain,
( e11 = e12
| e12 = op1(e13,e10)
| ~ spl52_68
| ~ spl52_106
| ~ spl52_110
| ~ spl52_120
| ~ spl52_347 ),
inference(duplicate_literal_removal,[],[f5643]) ).
fof(f5643,plain,
( e11 = e12
| e11 = e12
| e12 = op1(e13,e10)
| ~ spl52_68
| ~ spl52_106
| ~ spl52_110
| ~ spl52_120
| ~ spl52_347 ),
inference(forward_demodulation,[],[f5642,f1431]) ).
fof(f5642,plain,
( e12 = op1(e11,e12)
| e11 = e12
| e12 = op1(e13,e10)
| ~ spl52_68
| ~ spl52_106
| ~ spl52_110
| ~ spl52_347 ),
inference(forward_demodulation,[],[f5641,f5625]) ).
fof(f5641,plain,
( e11 = e12
| e12 = op1(e13,e12)
| e12 = op1(e13,e10)
| ~ spl52_68
| ~ spl52_106
| ~ spl52_110
| ~ spl52_347 ),
inference(forward_demodulation,[],[f3914,f5625]) ).
fof(f3914,plain,
( e12 = e13
| e12 = op1(e13,e12)
| e12 = op1(e13,e10)
| ~ spl52_106
| ~ spl52_110 ),
inference(duplicate_literal_removal,[],[f3913]) ).
fof(f3913,plain,
( e12 = e13
| e12 = e13
| e12 = op1(e13,e12)
| e12 = op1(e13,e10)
| ~ spl52_106
| ~ spl52_110 ),
inference(forward_demodulation,[],[f3712,f1386]) ).
fof(f5638,plain,
( spl52_24
| ~ spl52_296
| ~ spl52_339 ),
inference(avatar_split_clause,[],[f3634,f3630,f2486,f980]) ).
fof(f3634,plain,
( e10 = e12
| ~ spl52_296
| ~ spl52_339 ),
inference(superposition,[],[f3632,f2488]) ).
fof(f5628,plain,
( spl52_173
| spl52_339
| spl52_25
| ~ spl52_106
| ~ spl52_110 ),
inference(avatar_split_clause,[],[f3615,f1384,f1366,f985,f3630,f1709]) ).
fof(f3615,plain,
( e10 = e13
| e10 = op1(e13,e12)
| e10 = op1(e13,e10)
| ~ spl52_106
| ~ spl52_110 ),
inference(duplicate_literal_removal,[],[f3614]) ).
fof(f3614,plain,
( e10 = e13
| e10 = e13
| e10 = op1(e13,e12)
| e10 = op1(e13,e10)
| ~ spl52_106
| ~ spl52_110 ),
inference(forward_demodulation,[],[f3613,f1386]) ).
fof(f5623,plain,
( ~ spl52_127
| ~ spl52_103
| spl52_200 ),
inference(avatar_split_clause,[],[f1855,f1851,f1350,f1461]) ).
fof(f1851,plain,
( spl52_200
<=> op1(e10,e10) = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_200])]) ).
fof(f1855,plain,
( e10 != op1(e10,e12)
| ~ spl52_103
| spl52_200 ),
inference(forward_demodulation,[],[f1853,f1352]) ).
fof(f1853,plain,
( op1(e10,e10) != op1(e10,e12)
| spl52_200 ),
inference(avatar_component_clause,[],[f1851]) ).
fof(f5602,plain,
( spl52_301
| ~ spl52_83
| ~ spl52_327 ),
inference(avatar_split_clause,[],[f4985,f3104,f1254,f2522]) ).
fof(f4985,plain,
( e22 = h4(e13)
| ~ spl52_83
| ~ spl52_327 ),
inference(superposition,[],[f1256,f3106]) ).
fof(f5599,plain,
( ~ spl52_119
| ~ spl52_127
| ~ spl52_333 ),
inference(avatar_split_clause,[],[f5597,f3484,f1461,f1425]) ).
fof(f1425,plain,
( spl52_119
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_119])]) ).
fof(f5597,plain,
( ~ sP38
| ~ spl52_127
| ~ spl52_333 ),
inference(trivial_inequality_removal,[],[f5596]) ).
fof(f5596,plain,
( e12 != e12
| ~ sP38
| ~ spl52_127
| ~ spl52_333 ),
inference(forward_demodulation,[],[f5595,f3486]) ).
fof(f5595,plain,
( op1(e10,e10) != e12
| ~ sP38
| ~ spl52_127 ),
inference(trivial_inequality_removal,[],[f5594]) ).
fof(f5594,plain,
( e10 != e10
| op1(e10,e10) != e12
| ~ sP38
| ~ spl52_127 ),
inference(forward_demodulation,[],[f602,f1463]) ).
fof(f602,plain,
( e10 != op1(e10,e12)
| op1(e10,e10) != e12
| ~ sP38 ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,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(e11,e12) )
| ~ sP38 ),
inference(nnf_transformation,[],[f61]) ).
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 )
& e11 = op1(e11,e12) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f5593,plain,
( ~ spl52_126
| ~ spl52_127
| ~ spl52_333 ),
inference(avatar_split_clause,[],[f5589,f3484,f1461,f1457]) ).
fof(f5589,plain,
( ~ sP34
| ~ spl52_127
| ~ spl52_333 ),
inference(trivial_inequality_removal,[],[f5588]) ).
fof(f5588,plain,
( e12 != e12
| ~ sP34
| ~ spl52_127
| ~ spl52_333 ),
inference(forward_demodulation,[],[f5587,f3486]) ).
fof(f5587,plain,
( op1(e10,e10) != e12
| ~ sP34
| ~ spl52_127 ),
inference(trivial_inequality_removal,[],[f5586]) ).
fof(f5585,plain,
( spl52_283
| ~ spl52_127
| ~ spl52_294
| ~ spl52_347 ),
inference(avatar_split_clause,[],[f5584,f5580,f2478,f1461,f2377]) ).
fof(f2377,plain,
( spl52_283
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_283])]) ).
fof(f5584,plain,
( op1(e10,e10) = e11
| ~ spl52_127
| ~ spl52_294
| ~ spl52_347 ),
inference(forward_demodulation,[],[f5582,f5572]) ).
fof(f5583,plain,
( spl52_120
| spl52_347
| spl52_26
| ~ spl52_294
| ~ spl52_296 ),
inference(avatar_split_clause,[],[f5568,f2486,f2478,f990,f5580,f1429]) ).
fof(f5568,plain,
( e11 = e12
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| ~ spl52_294
| ~ spl52_296 ),
inference(duplicate_literal_removal,[],[f5567]) ).
fof(f5567,plain,
( e11 = e12
| e11 = e12
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| ~ spl52_294
| ~ spl52_296 ),
inference(forward_demodulation,[],[f4003,f2488]) ).
fof(f4003,plain,
( e11 = e12
| e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| ~ spl52_294 ),
inference(forward_demodulation,[],[f405,f2480]) ).
fof(f5570,plain,
( spl52_25
| ~ spl52_112
| ~ spl52_173 ),
inference(avatar_split_clause,[],[f5569,f1709,f1393,f985]) ).
fof(f5569,plain,
( e10 = e13
| ~ spl52_112
| ~ spl52_173 ),
inference(forward_demodulation,[],[f1395,f1710]) ).
fof(f5564,plain,
( spl52_220
| spl52_339
| spl52_24
| spl52_23
| ~ spl52_120
| ~ spl52_294 ),
inference(avatar_split_clause,[],[f4030,f2478,f1429,f975,f980,f3630,f1958]) ).
fof(f4030,plain,
( e10 = e11
| e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| ~ spl52_120
| ~ spl52_294 ),
inference(forward_demodulation,[],[f4004,f1431]) ).
fof(f4004,plain,
( e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| ~ spl52_294 ),
inference(forward_demodulation,[],[f403,f2480]) ).
fof(f5562,plain,
( spl52_129
| spl52_218
| spl52_25
| spl52_23
| ~ spl52_104
| ~ spl52_110 ),
inference(avatar_split_clause,[],[f3990,f1384,f1355,f975,f985,f1947,f1470]) ).
fof(f3990,plain,
( e10 = e11
| e10 = e13
| e10 = op1(e12,e11)
| e10 = op1(e10,e11)
| ~ spl52_104
| ~ spl52_110 ),
inference(forward_demodulation,[],[f3701,f1357]) ).
fof(f5547,plain,
( spl52_344
| spl52_2
| spl52_6
| spl52_4
| ~ spl52_77
| ~ spl52_297
| ~ spl52_343 ),
inference(avatar_split_clause,[],[f5499,f4103,f2500,f1224,f880,f890,f870,f4262]) ).
fof(f5499,plain,
( e21 = e22
| e22 = e23
| e20 = e22
| e22 = op2(e20,e21)
| ~ spl52_77
| ~ spl52_297
| ~ spl52_343 ),
inference(forward_demodulation,[],[f4564,f4105]) ).
fof(f4105,plain,
( e21 = op2(e20,e22)
| ~ spl52_343 ),
inference(avatar_component_clause,[],[f4103]) ).
fof(f4564,plain,
( e22 = e23
| e20 = e22
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| ~ spl52_77
| ~ spl52_297 ),
inference(forward_demodulation,[],[f4194,f2502]) ).
fof(f4194,plain,
( e20 = e22
| e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| ~ spl52_77 ),
inference(forward_demodulation,[],[f744,f1225]) ).
fof(f744,plain,
( e22 = h1(e13)
| e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21) ),
inference(forward_demodulation,[],[f342,f227]) ).
fof(f342,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f5542,plain,
( spl52_66
| ~ spl52_77
| ~ spl52_255
| ~ spl52_323 ),
inference(avatar_split_clause,[],[f4411,f3041,f2138,f1224,f1172]) ).
fof(f4411,plain,
( e20 = h1(e10)
| ~ spl52_77
| ~ spl52_255
| ~ spl52_323 ),
inference(forward_demodulation,[],[f4199,f3042]) ).
fof(f4199,plain,
( op2(e20,e20) = h1(e10)
| ~ spl52_77
| ~ spl52_255 ),
inference(superposition,[],[f2140,f1225]) ).
fof(f5516,plain,
( spl52_77
| ~ spl52_84
| ~ spl52_323 ),
inference(avatar_split_clause,[],[f4252,f3041,f1259,f1224]) ).
fof(f4252,plain,
( e20 = h1(e13)
| ~ spl52_84
| ~ spl52_323 ),
inference(superposition,[],[f1261,f3042]) ).
fof(f5510,plain,
( ~ spl52_80
| spl52_70 ),
inference(avatar_split_clause,[],[f818,f1192,f1239]) ).
fof(f1239,plain,
( spl52_80
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_80])]) ).
fof(f818,plain,
( e21 = h2(e13)
| ~ sP17 ),
inference(forward_demodulation,[],[f504,f231]) ).
fof(f504,plain,
( e21 = op2(e21,e21)
| ~ sP17 ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,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(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(f5487,plain,
( spl52_4
| ~ spl52_156
| ~ spl52_303 ),
inference(avatar_split_clause,[],[f5485,f2541,f1615,f880]) ).
fof(f2541,plain,
( spl52_303
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_303])]) ).
fof(f5485,plain,
( e21 = e22
| ~ spl52_156
| ~ spl52_303 ),
inference(forward_demodulation,[],[f2543,f1616]) ).
fof(f2543,plain,
( e22 = op2(e23,e21)
| ~ spl52_303 ),
inference(avatar_component_clause,[],[f2541]) ).
fof(f5446,plain,
( spl52_1
| ~ spl52_156
| ~ spl52_308 ),
inference(avatar_split_clause,[],[f5369,f2597,f1615,f865]) ).
fof(f5369,plain,
( e20 = e21
| ~ spl52_156
| ~ spl52_308 ),
inference(forward_demodulation,[],[f1616,f2599]) ).
fof(f5382,plain,
( spl52_1
| ~ spl52_158
| ~ spl52_273
| ~ spl52_287
| ~ spl52_308 ),
inference(avatar_split_clause,[],[f5344,f2597,f2428,f2258,f1626,f865]) ).
fof(f1626,plain,
( spl52_158
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_158])]) ).
fof(f5344,plain,
( e20 = e21
| ~ spl52_158
| ~ spl52_273
| ~ spl52_287
| ~ spl52_308 ),
inference(forward_demodulation,[],[f5343,f2599]) ).
fof(f5343,plain,
( e21 = op2(e23,e21)
| ~ spl52_158
| ~ spl52_273
| ~ spl52_287 ),
inference(forward_demodulation,[],[f2430,f5275]) ).
fof(f5275,plain,
( e21 = e22
| ~ spl52_158
| ~ spl52_273 ),
inference(superposition,[],[f1627,f2260]) ).
fof(f1627,plain,
( e21 = op2(e22,e21)
| ~ spl52_158 ),
inference(avatar_component_clause,[],[f1626]) ).
fof(f5374,plain,
( spl52_2
| ~ spl52_84
| ~ spl52_323
| ~ spl52_345 ),
inference(avatar_split_clause,[],[f5327,f5052,f3041,f1259,f870]) ).
fof(f5327,plain,
( e20 = e22
| ~ spl52_84
| ~ spl52_323
| ~ spl52_345 ),
inference(forward_demodulation,[],[f5054,f4252]) ).
fof(f5284,plain,
( spl52_310
| spl52_320
| spl52_1
| spl52_3
| ~ spl52_94
| ~ spl52_316 ),
inference(avatar_split_clause,[],[f5268,f2816,f1309,f875,f865,f2907,f2609]) ).
fof(f5268,plain,
( e20 = e23
| e20 = e21
| e20 = h2(e13)
| e20 = op2(e21,e22)
| ~ spl52_94
| ~ spl52_316 ),
inference(forward_demodulation,[],[f2864,f2818]) ).
fof(f5274,plain,
( spl52_158
| spl52_70
| spl52_5
| spl52_1
| ~ spl52_308
| ~ spl52_324 ),
inference(avatar_split_clause,[],[f5267,f3087,f2597,f865,f885,f1192,f1626]) ).
fof(f5267,plain,
( e20 = e21
| e21 = e23
| e21 = h2(e13)
| e21 = op2(e22,e21)
| ~ spl52_308
| ~ spl52_324 ),
inference(forward_demodulation,[],[f3163,f2599]) ).
fof(f3163,plain,
( e21 = e23
| e21 = h2(e13)
| e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| ~ spl52_324 ),
inference(forward_demodulation,[],[f737,f3089]) ).
fof(f737,plain,
( e21 = h2(e13)
| e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e20,e21) ),
inference(forward_demodulation,[],[f349,f231]) ).
fof(f349,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f5272,plain,
( ~ spl52_318
| ~ spl52_256
| spl52_280 ),
inference(avatar_split_clause,[],[f5225,f2323,f2143,f2896]) ).
fof(f2323,plain,
( spl52_280
<=> e21 = op2(e21,op2(e21,h2(e13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_280])]) ).
fof(f5225,plain,
( e21 != op2(e21,h2(e10))
| ~ spl52_256
| spl52_280 ),
inference(forward_demodulation,[],[f2324,f2145]) ).
fof(f2324,plain,
( e21 != op2(e21,op2(e21,h2(e13)))
| spl52_280 ),
inference(avatar_component_clause,[],[f2323]) ).
fof(f5266,plain,
( spl52_310
| spl52_1
| spl52_284
| spl52_3
| ~ spl52_85
| ~ spl52_94
| ~ spl52_281
| ~ spl52_316 ),
inference(avatar_split_clause,[],[f5218,f2816,f2330,f1309,f1264,f875,f2405,f865,f2609]) ).
fof(f5218,plain,
( e20 = e23
| e20 = h2(e11)
| e20 = e21
| e20 = op2(e21,e22)
| ~ spl52_85
| ~ spl52_94
| ~ spl52_281
| ~ spl52_316 ),
inference(forward_demodulation,[],[f5186,f2818]) ).
fof(f5186,plain,
( e20 = h2(e11)
| e20 = e21
| e20 = op2(e21,e22)
| e20 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_94
| ~ spl52_281 ),
inference(forward_demodulation,[],[f2864,f2334]) ).
fof(f5259,plain,
( ~ spl52_301
| spl52_133
| ~ spl52_302 ),
inference(avatar_split_clause,[],[f4224,f2537,f1490,f2522]) ).
fof(f1490,plain,
( spl52_133
<=> op2(e23,e20) = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_133])]) ).
fof(f2537,plain,
( spl52_302
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_302])]) ).
fof(f4224,plain,
( e22 != h4(e13)
| spl52_133
| ~ spl52_302 ),
inference(superposition,[],[f1492,f2539]) ).
fof(f2539,plain,
( e22 = op2(e23,e20)
| ~ spl52_302 ),
inference(avatar_component_clause,[],[f2537]) ).
fof(f1492,plain,
( op2(e23,e20) != h4(e13)
| spl52_133 ),
inference(avatar_component_clause,[],[f1490]) ).
fof(f5258,plain,
( spl52_343
| spl52_4
| spl52_5
| spl52_1
| ~ spl52_84
| ~ spl52_299
| ~ spl52_323
| ~ spl52_324 ),
inference(avatar_split_clause,[],[f5237,f3087,f3041,f2514,f1259,f865,f885,f880,f4103]) ).
fof(f5237,plain,
( e20 = e21
| e21 = e23
| e21 = e22
| e21 = op2(e20,e22)
| ~ spl52_84
| ~ spl52_299
| ~ spl52_323
| ~ spl52_324 ),
inference(forward_demodulation,[],[f3739,f4252]) ).
fof(f3739,plain,
( e21 = e23
| e21 = e22
| e21 = h1(e13)
| e21 = op2(e20,e22)
| ~ spl52_299
| ~ spl52_324 ),
inference(forward_demodulation,[],[f3738,f3089]) ).
fof(f3738,plain,
( e21 = e22
| e21 = h1(e13)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| ~ spl52_299 ),
inference(forward_demodulation,[],[f746,f2516]) ).
fof(f5244,plain,
( spl52_4
| spl52_5
| spl52_1
| ~ spl52_84
| ~ spl52_102
| ~ spl52_299
| ~ spl52_323
| ~ spl52_324 ),
inference(avatar_split_clause,[],[f5236,f3087,f3041,f2514,f1345,f1259,f865,f885,f880]) ).
fof(f5236,plain,
( e20 = e21
| e21 = e23
| e21 = e22
| ~ spl52_84
| ~ spl52_102
| ~ spl52_299
| ~ spl52_323
| ~ spl52_324 ),
inference(duplicate_literal_removal,[],[f5235]) ).
fof(f5235,plain,
( e20 = e21
| e20 = e21
| e21 = e23
| e21 = e22
| ~ spl52_84
| ~ spl52_102
| ~ spl52_299
| ~ spl52_323
| ~ spl52_324 ),
inference(forward_demodulation,[],[f3791,f1347]) ).
fof(f3791,plain,
( e20 = e21
| e21 = e23
| e21 = e22
| e21 = op2(e20,e22)
| ~ spl52_84
| ~ spl52_299
| ~ spl52_323
| ~ spl52_324 ),
inference(forward_demodulation,[],[f3739,f3542]) ).
fof(f3542,plain,
( e20 = h1(e13)
| ~ spl52_84
| ~ spl52_323 ),
inference(superposition,[],[f1261,f3042]) ).
fof(f5234,plain,
( spl52_324
| spl52_6
| spl52_3
| ~ spl52_84
| ~ spl52_102
| ~ spl52_299
| ~ spl52_323 ),
inference(avatar_split_clause,[],[f5179,f3041,f2514,f1345,f1259,f875,f890,f3087]) ).
fof(f5179,plain,
( e20 = e23
| e22 = e23
| e23 = op2(e20,e21)
| ~ spl52_84
| ~ spl52_102
| ~ spl52_299
| ~ spl52_323 ),
inference(duplicate_literal_removal,[],[f5178]) ).
fof(f5178,plain,
( e20 = e23
| e20 = e23
| e22 = e23
| e23 = op2(e20,e21)
| ~ spl52_84
| ~ spl52_102
| ~ spl52_299
| ~ spl52_323 ),
inference(forward_demodulation,[],[f5177,f1347]) ).
fof(f5177,plain,
( e20 = e23
| e22 = e23
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| ~ spl52_84
| ~ spl52_299
| ~ spl52_323 ),
inference(forward_demodulation,[],[f4137,f4252]) ).
fof(f4137,plain,
( e22 = e23
| e23 = h1(e13)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| ~ spl52_299 ),
inference(forward_demodulation,[],[f742,f2516]) ).
fof(f5233,plain,
( spl52_331
| ~ spl52_58
| ~ spl52_85
| ~ spl52_256
| ~ spl52_281 ),
inference(avatar_split_clause,[],[f3269,f2330,f2143,f1264,f1136,f3331]) ).
fof(f3269,plain,
( e21 = op2(e21,h2(e11))
| ~ spl52_58
| ~ spl52_85
| ~ spl52_256
| ~ spl52_281 ),
inference(forward_demodulation,[],[f2282,f2334]) ).
fof(f5229,plain,
( spl52_279
| ~ spl52_58
| ~ spl52_256 ),
inference(avatar_split_clause,[],[f2282,f2143,f1136,f2318]) ).
fof(f5217,plain,
( spl52_86
| ~ spl52_58
| ~ spl52_318 ),
inference(avatar_split_clause,[],[f3329,f2896,f1136,f1270]) ).
fof(f3329,plain,
( e21 = op2(e21,e21)
| ~ spl52_58
| ~ spl52_318 ),
inference(forward_demodulation,[],[f2897,f1137]) ).
fof(f5202,plain,
( ~ spl52_70
| ~ spl52_94
| spl52_140 ),
inference(avatar_split_clause,[],[f2753,f1528,f1309,f1192]) ).
fof(f2753,plain,
( e21 != h2(e13)
| ~ spl52_94
| spl52_140 ),
inference(superposition,[],[f1530,f1311]) ).
fof(f5158,plain,
( spl52_152
| spl52_6
| spl52_5
| spl52_3
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281
| ~ spl52_300
| ~ spl52_312 ),
inference(avatar_split_clause,[],[f5131,f2619,f2518,f2330,f2231,f1264,f875,f885,f890,f1593]) ).
fof(f5131,plain,
( e20 = e23
| e21 = e23
| e22 = e23
| e23 = op2(e21,e22)
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281
| ~ spl52_300
| ~ spl52_312 ),
inference(forward_demodulation,[],[f5130,f2620]) ).
fof(f5130,plain,
( e21 = e23
| e22 = e23
| e23 = op2(e21,e22)
| e23 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281
| ~ spl52_300 ),
inference(forward_demodulation,[],[f4511,f4665]) ).
fof(f4511,plain,
( e22 = e23
| e23 = h2(e13)
| e23 = op2(e21,e22)
| e23 = op2(e21,e20)
| ~ spl52_300 ),
inference(forward_demodulation,[],[f734,f2520]) ).
fof(f5152,plain,
( spl52_346
| ~ spl52_46
| ~ spl52_264
| ~ spl52_308 ),
inference(avatar_split_clause,[],[f3345,f2597,f2207,f1082,f5149]) ).
fof(f3345,plain,
( e20 = h4(e11)
| ~ spl52_46
| ~ spl52_264
| ~ spl52_308 ),
inference(forward_demodulation,[],[f3342,f2599]) ).
fof(f3342,plain,
( op2(e23,e21) = h4(e11)
| ~ spl52_46
| ~ spl52_264 ),
inference(superposition,[],[f2209,f1083]) ).
fof(f5117,plain,
( spl52_277
| spl52_6
| spl52_5
| spl52_3
| ~ spl52_301
| ~ spl52_306
| ~ spl52_308 ),
inference(avatar_split_clause,[],[f5078,f2597,f2568,f2522,f875,f885,f890,f2295]) ).
fof(f5078,plain,
( e20 = e23
| e21 = e23
| e22 = e23
| e23 = op2(e23,e20)
| ~ spl52_301
| ~ spl52_306
| ~ spl52_308 ),
inference(forward_demodulation,[],[f5077,f2599]) ).
fof(f5077,plain,
( e21 = e23
| e22 = e23
| e23 = op2(e23,e21)
| e23 = op2(e23,e20)
| ~ spl52_301
| ~ spl52_306 ),
inference(forward_demodulation,[],[f5076,f2570]) ).
fof(f5076,plain,
( e22 = e23
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20)
| ~ spl52_301 ),
inference(forward_demodulation,[],[f724,f2524]) ).
fof(f5116,plain,
( spl52_4
| spl52_6
| spl52_2
| ~ spl52_84
| ~ spl52_102
| ~ spl52_304
| ~ spl52_324
| ~ spl52_332 ),
inference(avatar_split_clause,[],[f5081,f3449,f3087,f2552,f1345,f1259,f870,f890,f880]) ).
fof(f5081,plain,
( e20 = e22
| e22 = e23
| e21 = e22
| ~ spl52_84
| ~ spl52_102
| ~ spl52_304
| ~ spl52_324
| ~ spl52_332 ),
inference(forward_demodulation,[],[f5080,f1347]) ).
fof(f5080,plain,
( e22 = e23
| e21 = e22
| e22 = op2(e20,e22)
| ~ spl52_84
| ~ spl52_304
| ~ spl52_324
| ~ spl52_332 ),
inference(duplicate_literal_removal,[],[f5079]) ).
fof(f5079,plain,
( e22 = e23
| e22 = e23
| e21 = e22
| e22 = op2(e20,e22)
| ~ spl52_84
| ~ spl52_304
| ~ spl52_324
| ~ spl52_332 ),
inference(forward_demodulation,[],[f3310,f3906]) ).
fof(f3906,plain,
( e23 = h1(e13)
| ~ spl52_84
| ~ spl52_332 ),
inference(superposition,[],[f1261,f3451]) ).
fof(f3451,plain,
( op2(e20,e20) = e23
| ~ spl52_332 ),
inference(avatar_component_clause,[],[f3449]) ).
fof(f3310,plain,
( e22 = e23
| e21 = e22
| e22 = h1(e13)
| e22 = op2(e20,e22)
| ~ spl52_304
| ~ spl52_324 ),
inference(forward_demodulation,[],[f3309,f3089]) ).
fof(f3309,plain,
( e21 = e22
| e22 = h1(e13)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| ~ spl52_304 ),
inference(forward_demodulation,[],[f744,f2554]) ).
fof(f5106,plain,
( ~ spl52_272
| spl52_131
| ~ spl52_306 ),
inference(avatar_split_clause,[],[f3220,f2568,f1480,f2253]) ).
fof(f2253,plain,
( spl52_272
<=> e21 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_272])]) ).
fof(f1480,plain,
( spl52_131
<=> op2(e23,e22) = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_131])]) ).
fof(f3220,plain,
( e21 != h4(e13)
| spl52_131
| ~ spl52_306 ),
inference(superposition,[],[f1482,f2570]) ).
fof(f1482,plain,
( op2(e23,e22) != h4(e13)
| spl52_131 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f5070,plain,
( ~ spl52_101
| ~ spl52_345
| ~ spl52_102 ),
inference(avatar_split_clause,[],[f5059,f1345,f5052,f1341]) ).
fof(f1341,plain,
( spl52_101
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_101])]) ).
fof(f5059,plain,
( e22 != h1(e13)
| ~ sP14
| ~ spl52_102 ),
inference(trivial_inequality_removal,[],[f5058]) ).
fof(f5058,plain,
( e20 != e20
| e22 != h1(e13)
| ~ sP14
| ~ spl52_102 ),
inference(forward_demodulation,[],[f830,f1347]) ).
fof(f830,plain,
( e22 != h1(e13)
| e20 != op2(e20,e22)
| ~ sP14 ),
inference(forward_demodulation,[],[f520,f227]) ).
fof(f520,plain,
( e20 != op2(e20,e22)
| op2(e20,e20) != e22
| ~ sP14 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,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(e20,e22) )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,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(e20,e22) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f5057,plain,
( spl52_6
| ~ spl52_84
| ~ spl52_332
| ~ spl52_345 ),
inference(avatar_split_clause,[],[f5056,f5052,f3449,f1259,f890]) ).
fof(f5056,plain,
( e22 = e23
| ~ spl52_84
| ~ spl52_332
| ~ spl52_345 ),
inference(forward_demodulation,[],[f5054,f3906]) ).
fof(f5055,plain,
( spl52_322
| spl52_345
| spl52_4
| spl52_6
| ~ spl52_260
| ~ spl52_277 ),
inference(avatar_split_clause,[],[f5026,f2295,f2180,f890,f880,f5052,f3020]) ).
fof(f5026,plain,
( e22 = e23
| e21 = e22
| e22 = h1(e13)
| e22 = op2(e21,e20)
| ~ spl52_260
| ~ spl52_277 ),
inference(forward_demodulation,[],[f4607,f2297]) ).
fof(f4607,plain,
( e21 = e22
| e22 = h1(e13)
| e22 = op2(e23,e20)
| e22 = op2(e21,e20)
| ~ spl52_260 ),
inference(forward_demodulation,[],[f743,f2182]) ).
fof(f5044,plain,
( ~ spl52_284
| spl52_319
| ~ spl52_321 ),
inference(avatar_split_clause,[],[f2918,f2914,f2902,f2405]) ).
fof(f2902,plain,
( spl52_319
<=> e20 = op2(e21,h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_319])]) ).
fof(f2918,plain,
( e20 != h2(e11)
| spl52_319
| ~ spl52_321 ),
inference(superposition,[],[f2903,f2916]) ).
fof(f2903,plain,
( e20 != op2(e21,h2(e10))
| spl52_319 ),
inference(avatar_component_clause,[],[f2902]) ).
fof(f5040,plain,
( spl52_344
| spl52_4
| spl52_2
| ~ spl52_84
| ~ spl52_102
| ~ spl52_304
| ~ spl52_314 ),
inference(avatar_split_clause,[],[f5038,f2739,f2552,f1345,f1259,f870,f880,f4262]) ).
fof(f5038,plain,
( e20 = e22
| e21 = e22
| e22 = op2(e20,e21)
| ~ spl52_84
| ~ spl52_102
| ~ spl52_304
| ~ spl52_314 ),
inference(forward_demodulation,[],[f5037,f1347]) ).
fof(f5037,plain,
( e21 = e22
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| ~ spl52_84
| ~ spl52_304
| ~ spl52_314 ),
inference(duplicate_literal_removal,[],[f5036]) ).
fof(f5036,plain,
( e21 = e22
| e21 = e22
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| ~ spl52_84
| ~ spl52_304
| ~ spl52_314 ),
inference(forward_demodulation,[],[f3309,f4239]) ).
fof(f4239,plain,
( e21 = h1(e13)
| ~ spl52_84
| ~ spl52_314 ),
inference(superposition,[],[f1261,f2740]) ).
fof(f2740,plain,
( op2(e20,e20) = e21
| ~ spl52_314 ),
inference(avatar_component_clause,[],[f2739]) ).
fof(f5035,plain,
( spl52_137
| spl52_5
| spl52_3
| spl52_6
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281
| ~ spl52_308
| ~ spl52_344 ),
inference(avatar_split_clause,[],[f4294,f4262,f2597,f2330,f2231,f1264,f890,f875,f885,f1512]) ).
fof(f4294,plain,
( e22 = e23
| e20 = e23
| e21 = e23
| e23 = op2(e22,e21)
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281
| ~ spl52_308
| ~ spl52_344 ),
inference(forward_demodulation,[],[f3340,f4264]) ).
fof(f3340,plain,
( e20 = e23
| e21 = e23
| e23 = op2(e22,e21)
| e23 = op2(e20,e21)
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281
| ~ spl52_308 ),
inference(forward_demodulation,[],[f3339,f2599]) ).
fof(f3339,plain,
( e21 = e23
| e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e20,e21)
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281 ),
inference(forward_demodulation,[],[f3338,f2233]) ).
fof(f3338,plain,
( e23 = h2(e11)
| e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e20,e21)
| ~ spl52_85
| ~ spl52_281 ),
inference(forward_demodulation,[],[f733,f2334]) ).
fof(f733,plain,
( e23 = h2(e13)
| e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e20,e21) ),
inference(forward_demodulation,[],[f353,f231]) ).
fof(f353,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f5021,plain,
( spl52_324
| spl52_5
| spl52_3
| ~ spl52_84
| ~ spl52_102
| ~ spl52_304
| ~ spl52_323 ),
inference(avatar_split_clause,[],[f5010,f3041,f2552,f1345,f1259,f875,f885,f3087]) ).
fof(f5010,plain,
( e20 = e23
| e21 = e23
| e23 = op2(e20,e21)
| ~ spl52_84
| ~ spl52_102
| ~ spl52_304
| ~ spl52_323 ),
inference(duplicate_literal_removal,[],[f5009]) ).
fof(f5009,plain,
( e20 = e23
| e20 = e23
| e21 = e23
| e23 = op2(e20,e21)
| ~ spl52_84
| ~ spl52_102
| ~ spl52_304
| ~ spl52_323 ),
inference(forward_demodulation,[],[f5008,f1347]) ).
fof(f5008,plain,
( e20 = e23
| e21 = e23
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| ~ spl52_84
| ~ spl52_304
| ~ spl52_323 ),
inference(forward_demodulation,[],[f3337,f4252]) ).
fof(f3337,plain,
( e21 = e23
| e23 = h1(e13)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| ~ spl52_304 ),
inference(forward_demodulation,[],[f742,f2554]) ).
fof(f5015,plain,
( spl52_344
| spl52_2
| spl52_4
| ~ spl52_84
| ~ spl52_102
| ~ spl52_304
| ~ spl52_323 ),
inference(avatar_split_clause,[],[f5005,f3041,f2552,f1345,f1259,f880,f870,f4262]) ).
fof(f5005,plain,
( e21 = e22
| e20 = e22
| e22 = op2(e20,e21)
| ~ spl52_84
| ~ spl52_102
| ~ spl52_304
| ~ spl52_323 ),
inference(forward_demodulation,[],[f5004,f2554]) ).
fof(f5004,plain,
( e20 = e22
| e22 = op2(e20,e23)
| e22 = op2(e20,e21)
| ~ spl52_84
| ~ spl52_102
| ~ spl52_323 ),
inference(duplicate_literal_removal,[],[f5003]) ).
fof(f5003,plain,
( e20 = e22
| e20 = e22
| e22 = op2(e20,e23)
| e22 = op2(e20,e21)
| ~ spl52_84
| ~ spl52_102
| ~ spl52_323 ),
inference(forward_demodulation,[],[f4830,f4252]) ).
fof(f4830,plain,
( e20 = e22
| e22 = h1(e13)
| e22 = op2(e20,e23)
| e22 = op2(e20,e21)
| ~ spl52_102 ),
inference(forward_demodulation,[],[f744,f1347]) ).
fof(f5007,plain,
( spl52_4
| spl52_6
| spl52_2
| ~ spl52_84
| ~ spl52_102
| ~ spl52_304
| ~ spl52_323
| ~ spl52_324 ),
inference(avatar_split_clause,[],[f4844,f3087,f3041,f2552,f1345,f1259,f870,f890,f880]) ).
fof(f4844,plain,
( e20 = e22
| e22 = e23
| e21 = e22
| ~ spl52_84
| ~ spl52_102
| ~ spl52_304
| ~ spl52_323
| ~ spl52_324 ),
inference(duplicate_literal_removal,[],[f4843]) ).
fof(f4843,plain,
( e20 = e22
| e20 = e22
| e22 = e23
| e21 = e22
| ~ spl52_84
| ~ spl52_102
| ~ spl52_304
| ~ spl52_323
| ~ spl52_324 ),
inference(forward_demodulation,[],[f4842,f1347]) ).
fof(f4842,plain,
( e20 = e22
| e22 = e23
| e21 = e22
| e22 = op2(e20,e22)
| ~ spl52_84
| ~ spl52_304
| ~ spl52_323
| ~ spl52_324 ),
inference(forward_demodulation,[],[f3310,f4252]) ).
fof(f4994,plain,
( spl52_6
| ~ spl52_324
| ~ spl52_344 ),
inference(avatar_split_clause,[],[f4988,f4262,f3087,f890]) ).
fof(f4988,plain,
( e22 = e23
| ~ spl52_324
| ~ spl52_344 ),
inference(superposition,[],[f4264,f3089]) ).
fof(f4955,plain,
( spl52_46
| ~ spl52_254
| ~ spl52_301
| ~ spl52_306 ),
inference(avatar_split_clause,[],[f2732,f2568,f2522,f2133,f1082]) ).
fof(f4916,plain,
( spl52_6
| ~ spl52_72
| ~ spl52_301 ),
inference(avatar_split_clause,[],[f4914,f2522,f1201,f890]) ).
fof(f4914,plain,
( e22 = e23
| ~ spl52_72
| ~ spl52_301 ),
inference(forward_demodulation,[],[f2524,f1202]) ).
fof(f4911,plain,
( spl52_2
| ~ spl52_83
| ~ spl52_301
| ~ spl52_325 ),
inference(avatar_split_clause,[],[f4894,f3096,f2522,f1254,f870]) ).
fof(f4894,plain,
( e20 = e22
| ~ spl52_83
| ~ spl52_301
| ~ spl52_325 ),
inference(forward_demodulation,[],[f2524,f3886]) ).
fof(f4885,plain,
( spl52_4
| ~ spl52_72
| ~ spl52_254
| ~ spl52_301
| ~ spl52_306
| ~ spl52_341 ),
inference(avatar_split_clause,[],[f4877,f3926,f2568,f2522,f2133,f1201,f880]) ).
fof(f3926,plain,
( spl52_341
<=> e23 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_341])]) ).
fof(f4877,plain,
( e21 = e22
| ~ spl52_72
| ~ spl52_254
| ~ spl52_301
| ~ spl52_306
| ~ spl52_341 ),
inference(forward_demodulation,[],[f2524,f4868]) ).
fof(f4868,plain,
( e21 = h4(e13)
| ~ spl52_72
| ~ spl52_254
| ~ spl52_301
| ~ spl52_306
| ~ spl52_341 ),
inference(forward_demodulation,[],[f1202,f4845]) ).
fof(f4845,plain,
( e21 = e23
| ~ spl52_254
| ~ spl52_301
| ~ spl52_306
| ~ spl52_341 ),
inference(forward_demodulation,[],[f4116,f2570]) ).
fof(f4116,plain,
( e23 = op2(e23,e22)
| ~ spl52_254
| ~ spl52_301
| ~ spl52_341 ),
inference(forward_demodulation,[],[f2729,f3928]) ).
fof(f3928,plain,
( e23 = h4(e10)
| ~ spl52_341 ),
inference(avatar_component_clause,[],[f3926]) ).
fof(f4867,plain,
( spl52_4
| ~ spl52_83
| ~ spl52_301
| ~ spl52_326 ),
inference(avatar_split_clause,[],[f4848,f3100,f2522,f1254,f880]) ).
fof(f4848,plain,
( e21 = e22
| ~ spl52_83
| ~ spl52_301
| ~ spl52_326 ),
inference(forward_demodulation,[],[f2524,f4306]) ).
fof(f4766,plain,
( spl52_322
| spl52_2
| spl52_4
| spl52_6
| ~ spl52_260
| ~ spl52_307
| ~ spl52_317 ),
inference(avatar_split_clause,[],[f4638,f2820,f2593,f2180,f890,f880,f870,f3020]) ).
fof(f4638,plain,
( e22 = e23
| e21 = e22
| e20 = e22
| e22 = op2(e21,e20)
| ~ spl52_260
| ~ spl52_307
| ~ spl52_317 ),
inference(forward_demodulation,[],[f4136,f2822]) ).
fof(f2822,plain,
( e23 = h1(e13)
| ~ spl52_317 ),
inference(avatar_component_clause,[],[f2820]) ).
fof(f4136,plain,
( e21 = e22
| e20 = e22
| e22 = h1(e13)
| e22 = op2(e21,e20)
| ~ spl52_260
| ~ spl52_307 ),
inference(forward_demodulation,[],[f4135,f2182]) ).
fof(f4135,plain,
( e20 = e22
| e22 = h1(e13)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| ~ spl52_307 ),
inference(forward_demodulation,[],[f743,f2595]) ).
fof(f4763,plain,
( ~ spl52_311
| ~ spl52_58
| spl52_319 ),
inference(avatar_split_clause,[],[f4101,f2902,f1136,f2614]) ).
fof(f2614,plain,
( spl52_311
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_311])]) ).
fof(f4101,plain,
( e20 != op2(e21,e21)
| ~ spl52_58
| spl52_319 ),
inference(forward_demodulation,[],[f2903,f1137]) ).
fof(f4758,plain,
( ~ spl52_102
| ~ spl52_86
| spl52_310
| ~ spl52_311 ),
inference(avatar_split_clause,[],[f4746,f2614,f2609,f1270,f1345]) ).
fof(f4746,plain,
( e20 != op2(e20,e22)
| ~ spl52_86
| spl52_310
| ~ spl52_311 ),
inference(forward_demodulation,[],[f2611,f4084]) ).
fof(f4084,plain,
( e20 = e21
| ~ spl52_86
| ~ spl52_311 ),
inference(superposition,[],[f1272,f2616]) ).
fof(f2616,plain,
( e20 = op2(e21,e21)
| ~ spl52_311 ),
inference(avatar_component_clause,[],[f2614]) ).
fof(f1272,plain,
( e21 = op2(e21,e21)
| ~ spl52_86 ),
inference(avatar_component_clause,[],[f1270]) ).
fof(f2611,plain,
( e20 != op2(e21,e22)
| spl52_310 ),
inference(avatar_component_clause,[],[f2609]) ).
fof(f4756,plain,
( spl52_311
| ~ spl52_58
| ~ spl52_319 ),
inference(avatar_split_clause,[],[f4075,f2902,f1136,f2614]) ).
fof(f4075,plain,
( e20 = op2(e21,e21)
| ~ spl52_58
| ~ spl52_319 ),
inference(forward_demodulation,[],[f2904,f1137]) ).
fof(f2904,plain,
( e20 = op2(e21,h2(e10))
| ~ spl52_319 ),
inference(avatar_component_clause,[],[f2902]) ).
fof(f4727,plain,
( spl52_6
| spl52_4
| spl52_2
| ~ spl52_98
| ~ spl52_260
| ~ spl52_307
| ~ spl52_317 ),
inference(avatar_split_clause,[],[f4679,f2820,f2593,f2180,f1327,f870,f880,f890]) ).
fof(f1327,plain,
( spl52_98
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_98])]) ).
fof(f4679,plain,
( e20 = e22
| e21 = e22
| e22 = e23
| ~ spl52_98
| ~ spl52_260
| ~ spl52_307
| ~ spl52_317 ),
inference(forward_demodulation,[],[f4367,f2595]) ).
fof(f4367,plain,
( e21 = e22
| e22 = e23
| e22 = op2(e23,e20)
| ~ spl52_98
| ~ spl52_260
| ~ spl52_317 ),
inference(duplicate_literal_removal,[],[f4111]) ).
fof(f4111,plain,
( e21 = e22
| e21 = e22
| e22 = e23
| e22 = op2(e23,e20)
| ~ spl52_98
| ~ spl52_260
| ~ spl52_317 ),
inference(forward_demodulation,[],[f4110,f1329]) ).
fof(f1329,plain,
( e21 = op2(e21,e20)
| ~ spl52_98 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f4110,plain,
( e21 = e22
| e22 = e23
| e22 = op2(e23,e20)
| e22 = op2(e21,e20)
| ~ spl52_260
| ~ spl52_317 ),
inference(forward_demodulation,[],[f4109,f2182]) ).
fof(f4109,plain,
( e22 = e23
| e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| ~ spl52_317 ),
inference(forward_demodulation,[],[f743,f2822]) ).
fof(f4723,plain,
( spl52_86
| ~ spl52_268
| ~ spl52_331 ),
inference(avatar_split_clause,[],[f3335,f3331,f2231,f1270]) ).
fof(f4698,plain,
( ~ spl52_79
| ~ spl52_254
| ~ spl52_272
| ~ spl52_341 ),
inference(avatar_split_clause,[],[f4423,f3926,f2253,f2133,f1234]) ).
fof(f1234,plain,
( spl52_79
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_79])]) ).
fof(f4423,plain,
( ~ sP21
| ~ spl52_254
| ~ spl52_272
| ~ spl52_341 ),
inference(trivial_inequality_removal,[],[f4422]) ).
fof(f4422,plain,
( e23 != e23
| ~ sP21
| ~ spl52_254
| ~ spl52_272
| ~ spl52_341 ),
inference(forward_demodulation,[],[f4421,f3928]) ).
fof(f4421,plain,
( e23 != h4(e10)
| ~ sP21
| ~ spl52_254
| ~ spl52_272 ),
inference(forward_demodulation,[],[f4420,f3420]) ).
fof(f3420,plain,
( op2(e23,e21) = h4(e10)
| ~ spl52_254
| ~ spl52_272 ),
inference(superposition,[],[f2135,f2254]) ).
fof(f2254,plain,
( e21 = h4(e13)
| ~ spl52_272 ),
inference(avatar_component_clause,[],[f2253]) ).
fof(f4420,plain,
( e23 != op2(e23,e21)
| ~ sP21
| ~ spl52_272 ),
inference(trivial_inequality_removal,[],[f4419]) ).
fof(f4419,plain,
( e21 != e21
| e23 != op2(e23,e21)
| ~ sP21
| ~ spl52_272 ),
inference(forward_demodulation,[],[f798,f2254]) ).
fof(f798,plain,
( e21 != h4(e13)
| e23 != op2(e23,e21)
| ~ sP21 ),
inference(forward_demodulation,[],[f488,f223]) ).
fof(f488,plain,
( e23 != op2(e23,e21)
| e21 != op2(e23,e23)
| ~ sP21 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,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(e22,e21) )
| ~ sP21 ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,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(e22,e21) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f4594,plain,
( spl52_96
| spl52_70
| spl52_4
| ~ spl52_300
| ~ spl52_322 ),
inference(avatar_split_clause,[],[f4523,f3020,f2518,f880,f1192,f1318]) ).
fof(f4523,plain,
( e21 = e22
| e21 = h2(e13)
| e21 = op2(e21,e22)
| ~ spl52_300
| ~ spl52_322 ),
inference(duplicate_literal_removal,[],[f4522]) ).
fof(f4522,plain,
( e21 = e22
| e21 = e22
| e21 = h2(e13)
| e21 = op2(e21,e22)
| ~ spl52_300
| ~ spl52_322 ),
inference(forward_demodulation,[],[f4476,f3022]) ).
fof(f4476,plain,
( e21 = e22
| e21 = h2(e13)
| e21 = op2(e21,e22)
| e21 = op2(e21,e20)
| ~ spl52_300 ),
inference(forward_demodulation,[],[f738,f2520]) ).
fof(f738,plain,
( e21 = h2(e13)
| e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e20) ),
inference(forward_demodulation,[],[f348,f231]) ).
fof(f348,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4559,plain,
( spl52_310
| spl52_320
| spl52_2
| ~ spl52_300
| ~ spl52_322 ),
inference(avatar_split_clause,[],[f4521,f3020,f2518,f870,f2907,f2609]) ).
fof(f4521,plain,
( e20 = e22
| e20 = h2(e13)
| e20 = op2(e21,e22)
| ~ spl52_300
| ~ spl52_322 ),
inference(duplicate_literal_removal,[],[f4520]) ).
fof(f4520,plain,
( e20 = e22
| e20 = e22
| e20 = h2(e13)
| e20 = op2(e21,e22)
| ~ spl52_300
| ~ spl52_322 ),
inference(forward_demodulation,[],[f4461,f3022]) ).
fof(f4461,plain,
( e20 = e22
| e20 = h2(e13)
| e20 = op2(e21,e22)
| e20 = op2(e21,e20)
| ~ spl52_300 ),
inference(forward_demodulation,[],[f740,f2520]) ).
fof(f4555,plain,
( spl52_152
| spl52_293
| spl52_6
| ~ spl52_300
| ~ spl52_322 ),
inference(avatar_split_clause,[],[f4519,f3020,f2518,f890,f2466,f1593]) ).
fof(f4519,plain,
( e22 = e23
| e23 = h2(e13)
| e23 = op2(e21,e22)
| ~ spl52_300
| ~ spl52_322 ),
inference(duplicate_literal_removal,[],[f4518]) ).
fof(f4518,plain,
( e22 = e23
| e22 = e23
| e23 = h2(e13)
| e23 = op2(e21,e22)
| ~ spl52_300
| ~ spl52_322 ),
inference(forward_demodulation,[],[f4511,f3022]) ).
fof(f4549,plain,
( ~ spl52_284
| spl52_319
| ~ spl52_321 ),
inference(avatar_split_clause,[],[f2918,f2914,f2902,f2405]) ).
fof(f4516,plain,
( spl52_2
| ~ spl52_303
| ~ spl52_308 ),
inference(avatar_split_clause,[],[f4513,f2597,f2541,f870]) ).
fof(f4513,plain,
( e20 = e22
| ~ spl52_303
| ~ spl52_308 ),
inference(forward_demodulation,[],[f2543,f2599]) ).
fof(f4504,plain,
( spl52_96
| spl52_70
| spl52_4
| spl52_5
| ~ spl52_300
| ~ spl52_316 ),
inference(avatar_split_clause,[],[f4477,f2816,f2518,f885,f880,f1192,f1318]) ).
fof(f4477,plain,
( e21 = e23
| e21 = e22
| e21 = h2(e13)
| e21 = op2(e21,e22)
| ~ spl52_300
| ~ spl52_316 ),
inference(forward_demodulation,[],[f4476,f2818]) ).
fof(f4503,plain,
( ~ spl52_58
| ~ spl52_256
| spl52_279 ),
inference(avatar_split_clause,[],[f2912,f2318,f2143,f1136]) ).
fof(f4493,plain,
( spl52_337
| spl52_1
| spl52_4
| ~ spl52_285
| ~ spl52_309
| ~ spl52_310 ),
inference(avatar_split_clause,[],[f4481,f2609,f2601,f2420,f880,f865,f3600]) ).
fof(f4481,plain,
( e21 = e22
| e20 = e21
| e21 = op2(e22,e22)
| ~ spl52_285
| ~ spl52_309
| ~ spl52_310 ),
inference(forward_demodulation,[],[f3521,f2422]) ).
fof(f3521,plain,
( e20 = e21
| e21 = op2(e22,e22)
| e21 = op2(e20,e22)
| ~ spl52_309
| ~ spl52_310 ),
inference(duplicate_literal_removal,[],[f3520]) ).
fof(f3520,plain,
( e20 = e21
| e20 = e21
| e21 = op2(e22,e22)
| e21 = op2(e20,e22)
| ~ spl52_309
| ~ spl52_310 ),
inference(forward_demodulation,[],[f3188,f2610]) ).
fof(f3188,plain,
( e20 = e21
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22)
| ~ spl52_309 ),
inference(forward_demodulation,[],[f357,f2603]) ).
fof(f2603,plain,
( e20 = op2(e23,e22)
| ~ spl52_309 ),
inference(avatar_component_clause,[],[f2601]) ).
fof(f357,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4473,plain,
( spl52_310
| spl52_320
| spl52_3
| spl52_2
| ~ spl52_300
| ~ spl52_316 ),
inference(avatar_split_clause,[],[f4455,f2816,f2518,f870,f875,f2907,f2609]) ).
fof(f4455,plain,
( e20 = e22
| e20 = e23
| e20 = h2(e13)
| e20 = op2(e21,e22)
| ~ spl52_300
| ~ spl52_316 ),
inference(forward_demodulation,[],[f2875,f2520]) ).
fof(f2875,plain,
( e20 = e23
| e20 = h2(e13)
| e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| ~ spl52_316 ),
inference(forward_demodulation,[],[f740,f2818]) ).
fof(f4471,plain,
( spl52_343
| spl52_1
| spl52_5
| spl52_4
| ~ spl52_77
| ~ spl52_297
| ~ spl52_344 ),
inference(avatar_split_clause,[],[f4407,f4262,f2500,f1224,f880,f885,f865,f4103]) ).
fof(f4407,plain,
( e21 = e22
| e21 = e23
| e20 = e21
| e21 = op2(e20,e22)
| ~ spl52_77
| ~ spl52_297
| ~ spl52_344 ),
inference(forward_demodulation,[],[f4287,f4264]) ).
fof(f4287,plain,
( e21 = e23
| e20 = e21
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| ~ spl52_77
| ~ spl52_297 ),
inference(forward_demodulation,[],[f3574,f2502]) ).
fof(f3574,plain,
( e20 = e21
| e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| ~ spl52_77 ),
inference(forward_demodulation,[],[f746,f1225]) ).
fof(f4454,plain,
( ~ spl52_268
| spl52_86
| ~ spl52_281 ),
inference(avatar_split_clause,[],[f2336,f2330,f1270,f2231]) ).
fof(f2336,plain,
( e21 != h2(e11)
| spl52_86
| ~ spl52_281 ),
inference(superposition,[],[f1271,f2332]) ).
fof(f1271,plain,
( e21 != op2(e21,e21)
| spl52_86 ),
inference(avatar_component_clause,[],[f1270]) ).
fof(f4448,plain,
( spl52_86
| ~ spl52_268
| ~ spl52_331 ),
inference(avatar_split_clause,[],[f3335,f3331,f2231,f1270]) ).
fof(f4425,plain,
( ~ spl52_70
| ~ spl52_85
| spl52_86 ),
inference(avatar_split_clause,[],[f2315,f1270,f1264,f1192]) ).
fof(f2315,plain,
( e21 != h2(e13)
| ~ spl52_85
| spl52_86 ),
inference(superposition,[],[f1271,f1266]) ).
fof(f4424,plain,
( ~ spl52_79
| ~ spl52_254
| ~ spl52_272
| ~ spl52_341 ),
inference(avatar_split_clause,[],[f4423,f3926,f2253,f2133,f1234]) ).
fof(f4418,plain,
( ~ spl52_80
| ~ spl52_254
| ~ spl52_272
| ~ spl52_341 ),
inference(avatar_split_clause,[],[f4397,f3926,f2253,f2133,f1239]) ).
fof(f4397,plain,
( ~ sP17
| ~ spl52_254
| ~ spl52_272
| ~ spl52_341 ),
inference(trivial_inequality_removal,[],[f4396]) ).
fof(f4396,plain,
( e23 != e23
| ~ sP17
| ~ spl52_254
| ~ spl52_272
| ~ spl52_341 ),
inference(forward_demodulation,[],[f4395,f3928]) ).
fof(f4395,plain,
( e23 != h4(e10)
| ~ sP17
| ~ spl52_254
| ~ spl52_272 ),
inference(forward_demodulation,[],[f4394,f3420]) ).
fof(f4394,plain,
( e23 != op2(e23,e21)
| ~ sP17
| ~ spl52_272 ),
inference(trivial_inequality_removal,[],[f4393]) ).
fof(f4393,plain,
( e21 != e21
| e23 != op2(e23,e21)
| ~ sP17
| ~ spl52_272 ),
inference(forward_demodulation,[],[f814,f2254]) ).
fof(f814,plain,
( e21 != h4(e13)
| e23 != op2(e23,e21)
| ~ sP17 ),
inference(forward_demodulation,[],[f508,f223]) ).
fof(f508,plain,
( e23 != op2(e23,e21)
| e21 != op2(e23,e23)
| ~ sP17 ),
inference(cnf_transformation,[],[f102]) ).
fof(f4388,plain,
( spl52_1
| ~ spl52_98
| ~ spl52_312 ),
inference(avatar_split_clause,[],[f4095,f2619,f1327,f865]) ).
fof(f4095,plain,
( e20 = e21
| ~ spl52_98
| ~ spl52_312 ),
inference(superposition,[],[f2620,f1329]) ).
fof(f4366,plain,
( spl52_337
| spl52_4
| spl52_1
| ~ spl52_102
| ~ spl52_286
| ~ spl52_309 ),
inference(avatar_split_clause,[],[f4345,f2601,f2424,f1345,f865,f880,f3600]) ).
fof(f4345,plain,
( e20 = e21
| e21 = e22
| e21 = op2(e22,e22)
| ~ spl52_102
| ~ spl52_286
| ~ spl52_309 ),
inference(duplicate_literal_removal,[],[f4344]) ).
fof(f4344,plain,
( e20 = e21
| e20 = e21
| e21 = e22
| e21 = op2(e22,e22)
| ~ spl52_102
| ~ spl52_286
| ~ spl52_309 ),
inference(forward_demodulation,[],[f4286,f2603]) ).
fof(f4286,plain,
( e20 = e21
| e21 = e22
| e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| ~ spl52_102
| ~ spl52_286 ),
inference(forward_demodulation,[],[f4285,f1347]) ).
fof(f4285,plain,
( e21 = e22
| e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e20,e22)
| ~ spl52_286 ),
inference(forward_demodulation,[],[f357,f2426]) ).
fof(f4328,plain,
( ~ spl52_94
| ~ spl52_70
| spl52_140 ),
inference(avatar_split_clause,[],[f1532,f1528,f1192,f1309]) ).
fof(f4307,plain,
( spl52_160
| spl52_5
| spl52_1
| ~ spl52_77
| ~ spl52_102
| ~ spl52_297 ),
inference(avatar_split_clause,[],[f4289,f2500,f1345,f1224,f865,f885,f1637]) ).
fof(f4289,plain,
( e20 = e21
| e21 = e23
| e21 = op2(e20,e21)
| ~ spl52_77
| ~ spl52_102
| ~ spl52_297 ),
inference(duplicate_literal_removal,[],[f4288]) ).
fof(f4288,plain,
( e20 = e21
| e21 = e23
| e20 = e21
| e21 = op2(e20,e21)
| ~ spl52_77
| ~ spl52_102
| ~ spl52_297 ),
inference(forward_demodulation,[],[f4287,f1347]) ).
fof(f4300,plain,
( spl52_1
| ~ spl52_325
| ~ spl52_326 ),
inference(avatar_split_clause,[],[f4299,f3100,f3096,f865]) ).
fof(f4299,plain,
( e20 = e21
| ~ spl52_325
| ~ spl52_326 ),
inference(forward_demodulation,[],[f3102,f3098]) ).
fof(f4298,plain,
( ~ spl52_272
| ~ spl52_83
| spl52_326 ),
inference(avatar_split_clause,[],[f3114,f3100,f1254,f2253]) ).
fof(f3114,plain,
( e21 != h4(e13)
| ~ spl52_83
| spl52_326 ),
inference(superposition,[],[f3101,f1256]) ).
fof(f3101,plain,
( e21 != op2(e23,e23)
| spl52_326 ),
inference(avatar_component_clause,[],[f3100]) ).
fof(f4284,plain,
( spl52_160
| spl52_1
| ~ spl52_77
| ~ spl52_84
| ~ spl52_102
| ~ spl52_312
| ~ spl52_316 ),
inference(avatar_split_clause,[],[f4272,f2816,f2619,f1345,f1259,f1224,f865,f1637]) ).
fof(f4272,plain,
( e20 = e21
| e21 = op2(e20,e21)
| ~ spl52_77
| ~ spl52_84
| ~ spl52_102
| ~ spl52_312
| ~ spl52_316 ),
inference(duplicate_literal_removal,[],[f4271]) ).
fof(f4271,plain,
( e20 = e21
| e20 = e21
| e21 = op2(e20,e21)
| ~ spl52_77
| ~ spl52_84
| ~ spl52_102
| ~ spl52_312
| ~ spl52_316 ),
inference(forward_demodulation,[],[f4270,f1225]) ).
fof(f4270,plain,
( e21 = h1(e13)
| e20 = e21
| e21 = op2(e20,e21)
| ~ spl52_77
| ~ spl52_84
| ~ spl52_102
| ~ spl52_312
| ~ spl52_316 ),
inference(forward_demodulation,[],[f4269,f1261]) ).
fof(f4269,plain,
( op2(e20,e20) = e21
| e20 = e21
| e21 = op2(e20,e21)
| ~ spl52_77
| ~ spl52_102
| ~ spl52_312
| ~ spl52_316 ),
inference(forward_demodulation,[],[f3576,f4245]) ).
fof(f4245,plain,
( e20 = e23
| ~ spl52_312
| ~ spl52_316 ),
inference(superposition,[],[f2818,f2620]) ).
fof(f3576,plain,
( e20 = e21
| e21 = op2(e20,e23)
| e21 = op2(e20,e21)
| ~ spl52_77
| ~ spl52_102 ),
inference(duplicate_literal_removal,[],[f3575]) ).
fof(f3575,plain,
( e20 = e21
| e20 = e21
| e21 = op2(e20,e23)
| e21 = op2(e20,e21)
| ~ spl52_77
| ~ spl52_102 ),
inference(forward_demodulation,[],[f3574,f1347]) ).
fof(f4268,plain,
( spl52_2
| ~ spl52_102
| ~ spl52_323
| ~ spl52_343
| ~ spl52_344 ),
inference(avatar_split_clause,[],[f4267,f4262,f4103,f3041,f1345,f870]) ).
fof(f4267,plain,
( e20 = e22
| ~ spl52_102
| ~ spl52_323
| ~ spl52_343
| ~ spl52_344 ),
inference(forward_demodulation,[],[f4266,f3042]) ).
fof(f4266,plain,
( op2(e20,e20) = e22
| ~ spl52_102
| ~ spl52_343
| ~ spl52_344 ),
inference(forward_demodulation,[],[f4264,f4255]) ).
fof(f4255,plain,
( e20 = e21
| ~ spl52_102
| ~ spl52_343 ),
inference(superposition,[],[f4105,f1347]) ).
fof(f4265,plain,
( spl52_344
| spl52_299
| spl52_2
| ~ spl52_77
| ~ spl52_102 ),
inference(avatar_split_clause,[],[f3580,f1345,f1224,f870,f2514,f4262]) ).
fof(f3580,plain,
( e20 = e22
| e22 = op2(e20,e23)
| e22 = op2(e20,e21)
| ~ spl52_77
| ~ spl52_102 ),
inference(duplicate_literal_removal,[],[f3579]) ).
fof(f3579,plain,
( e20 = e22
| e20 = e22
| e22 = op2(e20,e23)
| e22 = op2(e20,e21)
| ~ spl52_77
| ~ spl52_102 ),
inference(forward_demodulation,[],[f3578,f1347]) ).
fof(f3578,plain,
( e20 = e22
| e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| ~ spl52_77 ),
inference(forward_demodulation,[],[f744,f1225]) ).
fof(f4242,plain,
( spl52_1
| ~ spl52_77
| ~ spl52_84
| ~ spl52_314 ),
inference(avatar_split_clause,[],[f4240,f2739,f1259,f1224,f865]) ).
fof(f4240,plain,
( e20 = e21
| ~ spl52_77
| ~ spl52_84
| ~ spl52_314 ),
inference(forward_demodulation,[],[f4236,f1225]) ).
fof(f4236,plain,
( e21 = h1(e13)
| ~ spl52_84
| ~ spl52_314 ),
inference(superposition,[],[f2740,f1261]) ).
fof(f4187,plain,
( spl52_5
| ~ spl52_72
| ~ spl52_272 ),
inference(avatar_split_clause,[],[f4156,f2253,f1201,f885]) ).
fof(f4156,plain,
( e21 = e23
| ~ spl52_72
| ~ spl52_272 ),
inference(forward_demodulation,[],[f1202,f2254]) ).
fof(f4157,plain,
( spl52_2
| ~ spl52_302
| ~ spl52_307 ),
inference(avatar_split_clause,[],[f4145,f2593,f2537,f870]) ).
fof(f4145,plain,
( e20 = e22
| ~ spl52_302
| ~ spl52_307 ),
inference(forward_demodulation,[],[f2539,f2595]) ).
fof(f4118,plain,
( spl52_4
| ~ spl52_272
| ~ spl52_301 ),
inference(avatar_split_clause,[],[f3419,f2522,f2253,f880]) ).
fof(f3419,plain,
( e21 = e22
| ~ spl52_272
| ~ spl52_301 ),
inference(superposition,[],[f2524,f2254]) ).
fof(f4108,plain,
( spl52_102
| ~ spl52_98
| ~ spl52_312
| ~ spl52_343 ),
inference(avatar_split_clause,[],[f4107,f4103,f2619,f1327,f1345]) ).
fof(f4107,plain,
( e20 = op2(e20,e22)
| ~ spl52_98
| ~ spl52_312
| ~ spl52_343 ),
inference(forward_demodulation,[],[f4105,f4095]) ).
fof(f4106,plain,
( spl52_160
| spl52_343
| spl52_4
| spl52_5
| ~ spl52_299
| ~ spl52_317 ),
inference(avatar_split_clause,[],[f3919,f2820,f2514,f885,f880,f4103,f1637]) ).
fof(f3919,plain,
( e21 = e23
| e21 = e22
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| ~ spl52_299
| ~ spl52_317 ),
inference(forward_demodulation,[],[f3738,f2822]) ).
fof(f4100,plain,
( spl52_311
| ~ spl52_58
| ~ spl52_319 ),
inference(avatar_split_clause,[],[f4075,f2902,f1136,f2614]) ).
fof(f4088,plain,
( spl52_323
| ~ spl52_268
| ~ spl52_284
| ~ spl52_312 ),
inference(avatar_split_clause,[],[f4087,f2619,f2405,f2231,f3041]) ).
fof(f4087,plain,
( e20 = op2(e20,e20)
| ~ spl52_268
| ~ spl52_284
| ~ spl52_312 ),
inference(forward_demodulation,[],[f2620,f4077]) ).
fof(f4077,plain,
( e20 = e21
| ~ spl52_268
| ~ spl52_284 ),
inference(superposition,[],[f2406,f2233]) ).
fof(f2406,plain,
( e20 = h2(e11)
| ~ spl52_284 ),
inference(avatar_component_clause,[],[f2405]) ).
fof(f4086,plain,
( spl52_312
| spl52_248
| spl52_3
| spl52_2
| ~ spl52_302
| ~ spl52_317 ),
inference(avatar_split_clause,[],[f3860,f2820,f2537,f870,f875,f2102,f2619]) ).
fof(f3860,plain,
( e20 = e22
| e20 = e23
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| ~ spl52_302
| ~ spl52_317 ),
inference(forward_demodulation,[],[f3859,f2539]) ).
fof(f3859,plain,
( e20 = e23
| e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| ~ spl52_317 ),
inference(forward_demodulation,[],[f747,f2822]) ).
fof(f747,plain,
( e20 = h1(e13)
| e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20) ),
inference(forward_demodulation,[],[f339,f227]) ).
fof(f339,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4074,plain,
( spl52_284
| ~ spl52_281
| ~ spl52_311 ),
inference(avatar_split_clause,[],[f2623,f2614,f2330,f2405]) ).
fof(f2623,plain,
( e20 = h2(e11)
| ~ spl52_281
| ~ spl52_311 ),
inference(superposition,[],[f2616,f2332]) ).
fof(f4058,plain,
( spl52_160
| spl52_4
| spl52_5
| spl52_1
| ~ spl52_102
| ~ spl52_299
| ~ spl52_317 ),
inference(avatar_split_clause,[],[f3920,f2820,f2514,f1345,f865,f885,f880,f1637]) ).
fof(f3920,plain,
( e20 = e21
| e21 = e23
| e21 = e22
| e21 = op2(e20,e21)
| ~ spl52_102
| ~ spl52_299
| ~ spl52_317 ),
inference(forward_demodulation,[],[f3919,f1347]) ).
fof(f4049,plain,
( spl52_338
| spl52_23
| spl52_24
| ~ spl52_104
| ~ spl52_289
| ~ spl52_334 ),
inference(avatar_split_clause,[],[f4034,f3488,f2443,f1355,f980,f975,f3607]) ).
fof(f4034,plain,
( e10 = e12
| e10 = e11
| e10 = op1(e11,e12)
| ~ spl52_104
| ~ spl52_289
| ~ spl52_334 ),
inference(duplicate_literal_removal,[],[f4033]) ).
fof(f4033,plain,
( e10 = e12
| e10 = e11
| e10 = e12
| e10 = op1(e11,e12)
| ~ spl52_104
| ~ spl52_289
| ~ spl52_334 ),
inference(forward_demodulation,[],[f4032,f3490]) ).
fof(f4032,plain,
( e10 = e11
| e10 = e12
| e10 = op1(e11,e12)
| e10 = op1(e11,e10)
| ~ spl52_104
| ~ spl52_289 ),
inference(forward_demodulation,[],[f4031,f1357]) ).
fof(f4029,plain,
( spl52_24
| ~ spl52_169
| ~ spl52_334 ),
inference(avatar_split_clause,[],[f4014,f3488,f1687,f980]) ).
fof(f4014,plain,
( e10 = e12
| ~ spl52_169
| ~ spl52_334 ),
inference(superposition,[],[f1688,f3490]) ).
fof(f4001,plain,
( ~ spl52_113
| ~ spl52_104 ),
inference(avatar_split_clause,[],[f3996,f1355,f1398]) ).
fof(f3996,plain,
( ~ sP41
| ~ spl52_104 ),
inference(trivial_inequality_removal,[],[f3995]) ).
fof(f3995,plain,
( e11 != e11
| ~ sP41
| ~ spl52_104 ),
inference(forward_demodulation,[],[f647,f1357]) ).
fof(f647,plain,
( e11 != op1(e11,e11)
| ~ sP41 ),
inference(duplicate_literal_removal,[],[f588]) ).
fof(f588,plain,
( e11 != op1(e11,e11)
| e11 != op1(e11,e11)
| ~ sP41 ),
inference(cnf_transformation,[],[f118]) ).
fof(f3994,plain,
( spl52_25
| ~ spl52_110
| ~ spl52_342 ),
inference(avatar_split_clause,[],[f3993,f3978,f1384,f985]) ).
fof(f3993,plain,
( e10 = e13
| ~ spl52_110
| ~ spl52_342 ),
inference(forward_demodulation,[],[f1386,f3980]) ).
fof(f3985,plain,
( spl52_216
| spl52_110
| spl52_27
| ~ spl52_104
| ~ spl52_329 ),
inference(avatar_split_clause,[],[f3976,f3131,f1355,f995,f1384,f1936]) ).
fof(f3976,plain,
( e11 = e13
| e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| ~ spl52_104
| ~ spl52_329 ),
inference(duplicate_literal_removal,[],[f3975]) ).
fof(f3975,plain,
( e11 = e13
| e11 = e13
| e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| ~ spl52_104
| ~ spl52_329 ),
inference(forward_demodulation,[],[f3974,f3133]) ).
fof(f3974,plain,
( e11 = e13
| e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e10,e11)
| ~ spl52_104 ),
inference(forward_demodulation,[],[f401,f1357]) ).
fof(f3981,plain,
( spl52_218
| spl52_342
| spl52_23
| ~ spl52_104
| ~ spl52_329 ),
inference(avatar_split_clause,[],[f3973,f3131,f1355,f975,f3978,f1947]) ).
fof(f3973,plain,
( e10 = e11
| e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| ~ spl52_104
| ~ spl52_329 ),
inference(duplicate_literal_removal,[],[f3972]) ).
fof(f3972,plain,
( e10 = e11
| e10 = e11
| e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| ~ spl52_104
| ~ spl52_329 ),
inference(forward_demodulation,[],[f3971,f3133]) ).
fof(f3969,plain,
( spl52_296
| spl52_28
| spl52_24
| ~ spl52_106
| ~ spl52_110
| ~ spl52_173 ),
inference(avatar_split_clause,[],[f3915,f1709,f1384,f1366,f980,f1000,f2486]) ).
fof(f3915,plain,
( e10 = e12
| e12 = e13
| e12 = op1(e13,e12)
| ~ spl52_106
| ~ spl52_110
| ~ spl52_173 ),
inference(forward_demodulation,[],[f3914,f1710]) ).
fof(f3951,plain,
( spl52_23
| ~ spl52_120
| ~ spl52_338 ),
inference(avatar_split_clause,[],[f3942,f3607,f1429,f975]) ).
fof(f3942,plain,
( e10 = e11
| ~ spl52_120
| ~ spl52_338 ),
inference(forward_demodulation,[],[f1431,f3609]) ).
fof(f3943,plain,
( spl52_28
| ~ spl52_106
| ~ spl52_290 ),
inference(avatar_split_clause,[],[f3938,f2447,f1366,f1000]) ).
fof(f3938,plain,
( e12 = e13
| ~ spl52_106
| ~ spl52_290 ),
inference(forward_demodulation,[],[f2449,f1368]) ).
fof(f3940,plain,
( ~ spl52_117
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f3937,f1366,f1416]) ).
fof(f1416,plain,
( spl52_117
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_117])]) ).
fof(f3937,plain,
( ~ sP39
| ~ spl52_106 ),
inference(trivial_inequality_removal,[],[f3936]) ).
fof(f3936,plain,
( e13 != e13
| ~ sP39
| ~ spl52_106 ),
inference(forward_demodulation,[],[f645,f1368]) ).
fof(f645,plain,
( e13 != op1(e13,e13)
| ~ sP39 ),
inference(duplicate_literal_removal,[],[f600]) ).
fof(f600,plain,
( e13 != op1(e13,e13)
| e13 != op1(e13,e13)
| ~ sP39 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,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(e11,e13) )
| ~ sP39 ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,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(e11,e13) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f3932,plain,
( spl52_26
| ~ spl52_123
| ~ spl52_334 ),
inference(avatar_split_clause,[],[f3931,f3488,f1443,f990]) ).
fof(f3931,plain,
( e11 = e12
| ~ spl52_123
| ~ spl52_334 ),
inference(forward_demodulation,[],[f3490,f1445]) ).
fof(f3930,plain,
( spl52_336
| spl52_25
| spl52_27
| ~ spl52_123
| ~ spl52_173
| ~ spl52_259 ),
inference(avatar_split_clause,[],[f3724,f2170,f1709,f1443,f995,f985,f3551]) ).
fof(f3724,plain,
( e11 = e13
| e10 = e13
| op1(e10,e10) = e13
| ~ spl52_123
| ~ spl52_173
| ~ spl52_259 ),
inference(duplicate_literal_removal,[],[f3723]) ).
fof(f3723,plain,
( e11 = e13
| e11 = e13
| e10 = e13
| op1(e10,e10) = e13
| ~ spl52_123
| ~ spl52_173
| ~ spl52_259 ),
inference(forward_demodulation,[],[f3722,f1445]) ).
fof(f3722,plain,
( e11 = e13
| e10 = e13
| e13 = op1(e11,e10)
| op1(e10,e10) = e13
| ~ spl52_173
| ~ spl52_259 ),
inference(forward_demodulation,[],[f3721,f2172]) ).
fof(f3721,plain,
( e10 = e13
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13
| ~ spl52_173 ),
inference(forward_demodulation,[],[f393,f1710]) ).
fof(f3929,plain,
( spl52_341
| ~ spl52_254
| ~ spl52_271
| ~ spl52_272 ),
inference(avatar_split_clause,[],[f2583,f2253,f2249,f2133,f3926]) ).
fof(f2249,plain,
( spl52_271
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_271])]) ).
fof(f2583,plain,
( e23 = h4(e10)
| ~ spl52_254
| ~ spl52_271
| ~ spl52_272 ),
inference(forward_demodulation,[],[f2580,f2251]) ).
fof(f2251,plain,
( e23 = op2(e23,e21)
| ~ spl52_271 ),
inference(avatar_component_clause,[],[f2249]) ).
fof(f2580,plain,
( op2(e23,e21) = h4(e10)
| ~ spl52_254
| ~ spl52_272 ),
inference(superposition,[],[f2135,f2254]) ).
fof(f3918,plain,
( spl52_4
| spl52_5
| spl52_1
| ~ spl52_102
| ~ spl52_299
| ~ spl52_317
| ~ spl52_324 ),
inference(avatar_split_clause,[],[f3863,f3087,f2820,f2514,f1345,f865,f885,f880]) ).
fof(f3863,plain,
( e20 = e21
| e21 = e23
| e21 = e22
| ~ spl52_102
| ~ spl52_299
| ~ spl52_317
| ~ spl52_324 ),
inference(forward_demodulation,[],[f3862,f1347]) ).
fof(f3862,plain,
( e21 = e23
| e21 = e22
| e21 = op2(e20,e22)
| ~ spl52_299
| ~ spl52_317
| ~ spl52_324 ),
inference(duplicate_literal_removal,[],[f3861]) ).
fof(f3861,plain,
( e21 = e23
| e21 = e23
| e21 = e22
| e21 = op2(e20,e22)
| ~ spl52_299
| ~ spl52_317
| ~ spl52_324 ),
inference(forward_demodulation,[],[f3739,f2822]) ).
fof(f3912,plain,
( spl52_28
| spl52_24
| ~ spl52_106
| ~ spl52_110
| ~ spl52_173
| ~ spl52_339 ),
inference(avatar_split_clause,[],[f3720,f3630,f1709,f1384,f1366,f980,f1000]) ).
fof(f3720,plain,
( e10 = e12
| e12 = e13
| ~ spl52_106
| ~ spl52_110
| ~ spl52_173
| ~ spl52_339 ),
inference(duplicate_literal_removal,[],[f3719]) ).
fof(f3719,plain,
( e10 = e12
| e12 = e13
| e10 = e12
| ~ spl52_106
| ~ spl52_110
| ~ spl52_173
| ~ spl52_339 ),
inference(forward_demodulation,[],[f3715,f1710]) ).
fof(f3891,plain,
( spl52_26
| ~ spl52_288
| ~ spl52_291 ),
inference(avatar_split_clause,[],[f3818,f2457,f2439,f990]) ).
fof(f3818,plain,
( e11 = e12
| ~ spl52_288
| ~ spl52_291 ),
inference(superposition,[],[f2459,f2441]) ).
fof(f3851,plain,
( spl52_3
| ~ spl52_84
| ~ spl52_317
| ~ spl52_323 ),
inference(avatar_split_clause,[],[f3843,f3041,f2820,f1259,f875]) ).
fof(f3843,plain,
( e20 = e23
| ~ spl52_84
| ~ spl52_317
| ~ spl52_323 ),
inference(forward_demodulation,[],[f2822,f3542]) ).
fof(f3836,plain,
( spl52_2
| ~ spl52_287
| ~ spl52_309 ),
inference(avatar_split_clause,[],[f3530,f2601,f2428,f870]) ).
fof(f3530,plain,
( e20 = e22
| ~ spl52_287
| ~ spl52_309 ),
inference(superposition,[],[f2603,f2430]) ).
fof(f3788,plain,
( spl52_3
| ~ spl52_254
| ~ spl52_271
| ~ spl52_272
| ~ spl52_301
| ~ spl52_309 ),
inference(avatar_split_clause,[],[f3177,f2601,f2522,f2253,f2249,f2133,f875]) ).
fof(f3177,plain,
( e20 = e23
| ~ spl52_254
| ~ spl52_271
| ~ spl52_272
| ~ spl52_301
| ~ spl52_309 ),
inference(forward_demodulation,[],[f2583,f3061]) ).
fof(f3061,plain,
( e20 = h4(e10)
| ~ spl52_254
| ~ spl52_301
| ~ spl52_309 ),
inference(forward_demodulation,[],[f2729,f2603]) ).
fof(f3783,plain,
( ~ spl52_96
| ~ spl52_70
| spl52_141 ),
inference(avatar_split_clause,[],[f1538,f1534,f1192,f1318]) ).
fof(f1534,plain,
( spl52_141
<=> op2(e21,e22) = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_141])]) ).
fof(f1538,plain,
( e21 != op2(e21,e22)
| ~ spl52_70
| spl52_141 ),
inference(forward_demodulation,[],[f1536,f1194]) ).
fof(f1536,plain,
( op2(e21,e22) != h2(e13)
| spl52_141 ),
inference(avatar_component_clause,[],[f1534]) ).
fof(f3776,plain,
( spl52_2
| ~ spl52_83
| ~ spl52_254
| ~ spl52_271
| ~ spl52_272
| ~ spl52_301
| ~ spl52_309
| ~ spl52_328 ),
inference(avatar_split_clause,[],[f3775,f3108,f2601,f2522,f2253,f2249,f2133,f1254,f870]) ).
fof(f3775,plain,
( e20 = e22
| ~ spl52_83
| ~ spl52_254
| ~ spl52_271
| ~ spl52_272
| ~ spl52_301
| ~ spl52_309
| ~ spl52_328 ),
inference(forward_demodulation,[],[f3774,f3177]) ).
fof(f3770,plain,
( spl52_6
| ~ spl52_271
| ~ spl52_303 ),
inference(avatar_split_clause,[],[f3768,f2541,f2249,f890]) ).
fof(f3768,plain,
( e22 = e23
| ~ spl52_271
| ~ spl52_303 ),
inference(forward_demodulation,[],[f2543,f2251]) ).
fof(f3765,plain,
( spl52_6
| ~ spl52_277
| ~ spl52_302 ),
inference(avatar_split_clause,[],[f3749,f2537,f2295,f890]) ).
fof(f3749,plain,
( e22 = e23
| ~ spl52_277
| ~ spl52_302 ),
inference(forward_demodulation,[],[f2539,f2297]) ).
fof(f3733,plain,
( spl52_5
| ~ spl52_67
| ~ spl52_337 ),
inference(avatar_split_clause,[],[f3604,f3600,f1177,f885]) ).
fof(f3604,plain,
( e21 = e23
| ~ spl52_67
| ~ spl52_337 ),
inference(superposition,[],[f3602,f1179]) ).
fof(f3602,plain,
( e21 = op2(e22,e22)
| ~ spl52_337 ),
inference(avatar_component_clause,[],[f3600]) ).
fof(f3718,plain,
( spl52_28
| ~ spl52_333
| ~ spl52_336 ),
inference(avatar_split_clause,[],[f3717,f3551,f3484,f1000]) ).
fof(f3717,plain,
( e12 = e13
| ~ spl52_333
| ~ spl52_336 ),
inference(forward_demodulation,[],[f3486,f3553]) ).
fof(f3705,plain,
( spl52_23
| ~ spl52_123
| ~ spl52_169 ),
inference(avatar_split_clause,[],[f3686,f1687,f1443,f975]) ).
fof(f3686,plain,
( e10 = e11
| ~ spl52_123
| ~ spl52_169 ),
inference(forward_demodulation,[],[f1445,f1688]) ).
fof(f3687,plain,
( spl52_23
| ~ spl52_129
| ~ spl52_329 ),
inference(avatar_split_clause,[],[f3670,f3131,f1470,f975]) ).
fof(f3670,plain,
( e10 = e11
| ~ spl52_129
| ~ spl52_329 ),
inference(forward_demodulation,[],[f3133,f1472]) ).
fof(f3683,plain,
( ~ spl52_121
| ~ spl52_104 ),
inference(avatar_split_clause,[],[f3677,f1355,f1434]) ).
fof(f1434,plain,
( spl52_121
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_121])]) ).
fof(f3677,plain,
( ~ sP37
| ~ spl52_104 ),
inference(trivial_inequality_removal,[],[f3676]) ).
fof(f3676,plain,
( e11 != e11
| ~ sP37
| ~ spl52_104 ),
inference(forward_demodulation,[],[f643,f1357]) ).
fof(f643,plain,
( e11 != op1(e11,e11)
| ~ sP37 ),
inference(duplicate_literal_removal,[],[f608]) ).
fof(f608,plain,
( e11 != op1(e11,e11)
| e11 != op1(e11,e11)
| ~ sP37 ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,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) )
| ~ sP37 ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,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) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f3671,plain,
( spl52_26
| ~ spl52_118
| ~ spl52_289 ),
inference(avatar_split_clause,[],[f3660,f2443,f1420,f990]) ).
fof(f3660,plain,
( e11 = e12
| ~ spl52_118
| ~ spl52_289 ),
inference(forward_demodulation,[],[f2445,f1422]) ).
fof(f3661,plain,
( spl52_26
| ~ spl52_294
| ~ spl52_330 ),
inference(avatar_split_clause,[],[f3659,f3135,f2478,f990]) ).
fof(f3659,plain,
( e11 = e12
| ~ spl52_294
| ~ spl52_330 ),
inference(forward_demodulation,[],[f2480,f3137]) ).
fof(f3657,plain,
( spl52_24
| ~ spl52_295
| ~ spl52_338 ),
inference(avatar_split_clause,[],[f3653,f3607,f2482,f980]) ).
fof(f3653,plain,
( e10 = e12
| ~ spl52_295
| ~ spl52_338 ),
inference(forward_demodulation,[],[f2484,f3609]) ).
fof(f3654,plain,
( spl52_26
| ~ spl52_104
| ~ spl52_340 ),
inference(avatar_split_clause,[],[f3648,f3644,f1355,f990]) ).
fof(f3648,plain,
( e11 = e12
| ~ spl52_104
| ~ spl52_340 ),
inference(forward_demodulation,[],[f3646,f1357]) ).
fof(f3650,plain,
( spl52_23
| ~ spl52_104
| ~ spl52_296
| ~ spl52_339
| ~ spl52_340 ),
inference(avatar_split_clause,[],[f3649,f3644,f3630,f2486,f1355,f975]) ).
fof(f3649,plain,
( e10 = e11
| ~ spl52_104
| ~ spl52_296
| ~ spl52_339
| ~ spl52_340 ),
inference(forward_demodulation,[],[f3648,f3634]) ).
fof(f3647,plain,
( spl52_334
| spl52_340
| spl52_295
| spl52_289 ),
inference(avatar_split_clause,[],[f398,f2443,f2482,f3644,f3488]) ).
fof(f398,plain,
( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3633,plain,
( spl52_339
| spl52_25
| spl52_24
| ~ spl52_106
| ~ spl52_110
| ~ spl52_335 ),
inference(avatar_split_clause,[],[f3616,f3492,f1384,f1366,f980,f985,f3630]) ).
fof(f3616,plain,
( e10 = e12
| e10 = e13
| e10 = op1(e13,e12)
| ~ spl52_106
| ~ spl52_110
| ~ spl52_335 ),
inference(forward_demodulation,[],[f3615,f3494]) ).
fof(f3612,plain,
( spl52_24
| ~ spl52_173
| ~ spl52_335 ),
inference(avatar_split_clause,[],[f3558,f3492,f1709,f980]) ).
fof(f3558,plain,
( e10 = e12
| ~ spl52_173
| ~ spl52_335 ),
inference(superposition,[],[f1710,f3494]) ).
fof(f3610,plain,
( spl52_169
| spl52_338
| spl52_23
| ~ spl52_104
| ~ spl52_118 ),
inference(avatar_split_clause,[],[f3557,f1420,f1355,f975,f3607,f1687]) ).
fof(f3557,plain,
( e10 = e11
| e10 = op1(e11,e12)
| e10 = op1(e11,e10)
| ~ spl52_104
| ~ spl52_118 ),
inference(duplicate_literal_removal,[],[f3556]) ).
fof(f3556,plain,
( e10 = e11
| e10 = e11
| e10 = op1(e11,e12)
| e10 = op1(e11,e10)
| ~ spl52_104
| ~ spl52_118 ),
inference(forward_demodulation,[],[f3555,f1357]) ).
fof(f3603,plain,
( spl52_337
| spl52_4
| spl52_1
| ~ spl52_102
| ~ spl52_287
| ~ spl52_310 ),
inference(avatar_split_clause,[],[f3403,f2609,f2428,f1345,f865,f880,f3600]) ).
fof(f3403,plain,
( e20 = e21
| e21 = e22
| e21 = op2(e22,e22)
| ~ spl52_102
| ~ spl52_287
| ~ spl52_310 ),
inference(duplicate_literal_removal,[],[f3402]) ).
fof(f3402,plain,
( e20 = e21
| e20 = e21
| e21 = e22
| e21 = op2(e22,e22)
| ~ spl52_102
| ~ spl52_287
| ~ spl52_310 ),
inference(forward_demodulation,[],[f3401,f1347]) ).
fof(f3401,plain,
( e20 = e21
| e21 = e22
| e21 = op2(e22,e22)
| e21 = op2(e20,e22)
| ~ spl52_287
| ~ spl52_310 ),
inference(forward_demodulation,[],[f3395,f2610]) ).
fof(f3395,plain,
( e21 = e22
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22)
| ~ spl52_287 ),
inference(forward_demodulation,[],[f357,f2430]) ).
fof(f3584,plain,
( ~ spl52_160
| ~ spl52_70
| spl52_159 ),
inference(avatar_split_clause,[],[f1635,f1631,f1192,f1637]) ).
fof(f3563,plain,
( spl52_2
| ~ spl52_254
| ~ spl52_272
| ~ spl52_287
| ~ spl52_301
| ~ spl52_309 ),
inference(avatar_split_clause,[],[f3525,f2601,f2522,f2428,f2253,f2133,f870]) ).
fof(f3525,plain,
( e20 = e22
| ~ spl52_254
| ~ spl52_272
| ~ spl52_287
| ~ spl52_301
| ~ spl52_309 ),
inference(forward_demodulation,[],[f3416,f3167]) ).
fof(f3167,plain,
( e20 = op2(e23,e21)
| ~ spl52_254
| ~ spl52_272
| ~ spl52_301
| ~ spl52_309 ),
inference(forward_demodulation,[],[f2580,f3061]) ).
fof(f3416,plain,
( e22 = op2(e23,e21)
| ~ spl52_254
| ~ spl52_272
| ~ spl52_287
| ~ spl52_301 ),
inference(forward_demodulation,[],[f2580,f3404]) ).
fof(f3554,plain,
( spl52_336
| spl52_28
| spl52_27
| spl52_25
| ~ spl52_169
| ~ spl52_259
| ~ spl52_335 ),
inference(avatar_split_clause,[],[f3506,f3492,f2170,f1687,f985,f995,f1000,f3551]) ).
fof(f3506,plain,
( e10 = e13
| e11 = e13
| e12 = e13
| op1(e10,e10) = e13
| ~ spl52_169
| ~ spl52_259
| ~ spl52_335 ),
inference(forward_demodulation,[],[f3505,f1688]) ).
fof(f3519,plain,
( spl52_3
| ~ spl52_77
| ~ spl52_84
| ~ spl52_332 ),
inference(avatar_split_clause,[],[f3458,f3449,f1259,f1224,f875]) ).
fof(f3458,plain,
( e20 = e23
| ~ spl52_77
| ~ spl52_84
| ~ spl52_332 ),
inference(forward_demodulation,[],[f3453,f1225]) ).
fof(f3453,plain,
( e23 = h1(e13)
| ~ spl52_84
| ~ spl52_332 ),
inference(superposition,[],[f3451,f1261]) ).
fof(f3518,plain,
( ~ spl52_125
| ~ spl52_69
| spl52_192 ),
inference(avatar_split_clause,[],[f1811,f1807,f1187,f1452]) ).
fof(f1452,plain,
( spl52_125
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_125])]) ).
fof(f1807,plain,
( spl52_192
<=> op1(e10,e13) = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_192])]) ).
fof(f1811,plain,
( e10 != op1(e10,e13)
| ~ spl52_69
| spl52_192 ),
inference(forward_demodulation,[],[f1809,f1189]) ).
fof(f1809,plain,
( op1(e10,e13) != op1(e12,e13)
| spl52_192 ),
inference(avatar_component_clause,[],[f1807]) ).
fof(f3512,plain,
( ~ spl52_124
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f3511,f1366,f1448]) ).
fof(f1448,plain,
( spl52_124
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_124])]) ).
fof(f3511,plain,
( ~ sP35
| ~ spl52_106 ),
inference(trivial_inequality_removal,[],[f3510]) ).
fof(f3510,plain,
( e13 != e13
| ~ sP35
| ~ spl52_106 ),
inference(forward_demodulation,[],[f641,f1368]) ).
fof(f641,plain,
( e13 != op1(e13,e13)
| ~ sP35 ),
inference(duplicate_literal_removal,[],[f620]) ).
fof(f620,plain,
( e13 != op1(e13,e13)
| e13 != op1(e13,e13)
| ~ sP35 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,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(e10,e13) )
| ~ sP35 ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,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(e10,e13) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f3503,plain,
( spl52_28
| ~ spl52_112
| ~ spl52_335 ),
inference(avatar_split_clause,[],[f3501,f3492,f1393,f1000]) ).
fof(f3501,plain,
( e12 = e13
| ~ spl52_112
| ~ spl52_335 ),
inference(forward_demodulation,[],[f3494,f1395]) ).
fof(f3500,plain,
( spl52_26
| ~ spl52_116
| ~ spl52_259 ),
inference(avatar_split_clause,[],[f3499,f2170,f1411,f990]) ).
fof(f1411,plain,
( spl52_116
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_116])]) ).
fof(f3499,plain,
( e11 = e12
| ~ spl52_116
| ~ spl52_259 ),
inference(forward_demodulation,[],[f1413,f2172]) ).
fof(f1413,plain,
( e12 = op1(e12,e10)
| ~ spl52_116 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f3495,plain,
( spl52_333
| spl52_334
| spl52_116
| spl52_335 ),
inference(avatar_split_clause,[],[f391,f3492,f1411,f3488,f3484]) ).
fof(f391,plain,
( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f3460,plain,
( spl52_2
| ~ spl52_254
| ~ spl52_272
| ~ spl52_287
| ~ spl52_301
| ~ spl52_308 ),
inference(avatar_split_clause,[],[f3417,f2597,f2522,f2428,f2253,f2133,f870]) ).
fof(f3417,plain,
( e20 = e22
| ~ spl52_254
| ~ spl52_272
| ~ spl52_287
| ~ spl52_301
| ~ spl52_308 ),
inference(forward_demodulation,[],[f3416,f2599]) ).
fof(f3452,plain,
( spl52_323
| spl52_314
| spl52_313
| spl52_332 ),
inference(avatar_split_clause,[],[f370,f3449,f2734,f2739,f3041]) ).
fof(f370,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) )
& ( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) )
& ( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) )
& ( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) )
& ( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) )
& ( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) )
& ( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) )
& ( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) )
& ( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) )
& ( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f3400,plain,
( spl52_167
| ~ spl52_46
| ~ spl52_254
| ~ spl52_272
| ~ spl52_308 ),
inference(avatar_split_clause,[],[f3383,f2597,f2253,f2133,f1082,f1676]) ).
fof(f1676,plain,
( spl52_167
<=> e20 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_167])]) ).
fof(f3383,plain,
( e20 = h4(e13)
| ~ spl52_46
| ~ spl52_254
| ~ spl52_272
| ~ spl52_308 ),
inference(forward_demodulation,[],[f2254,f3364]) ).
fof(f3364,plain,
( e20 = e21
| ~ spl52_46
| ~ spl52_254
| ~ spl52_272
| ~ spl52_308 ),
inference(forward_demodulation,[],[f3363,f2599]) ).
fof(f3363,plain,
( e21 = op2(e23,e21)
| ~ spl52_46
| ~ spl52_254
| ~ spl52_272 ),
inference(forward_demodulation,[],[f2580,f1083]) ).
fof(f3373,plain,
( spl52_4
| ~ spl52_287
| ~ spl52_306 ),
inference(avatar_split_clause,[],[f2655,f2568,f2428,f880]) ).
fof(f2655,plain,
( e21 = e22
| ~ spl52_287
| ~ spl52_306 ),
inference(superposition,[],[f2570,f2430]) ).
fof(f3357,plain,
( spl52_322
| spl52_4
| spl52_6
| spl52_2
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281
| ~ spl52_298
| ~ spl52_310 ),
inference(avatar_split_clause,[],[f3351,f2609,f2504,f2330,f2231,f1264,f870,f890,f880,f3020]) ).
fof(f3351,plain,
( e20 = e22
| e22 = e23
| e21 = e22
| e22 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281
| ~ spl52_298
| ~ spl52_310 ),
inference(forward_demodulation,[],[f3350,f2610]) ).
fof(f3350,plain,
( e22 = e23
| e21 = e22
| e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281
| ~ spl52_298 ),
inference(forward_demodulation,[],[f3349,f2506]) ).
fof(f3349,plain,
( e21 = e22
| e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_268
| ~ spl52_281 ),
inference(forward_demodulation,[],[f2675,f2233]) ).
fof(f2675,plain,
( e22 = h2(e11)
| e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_281 ),
inference(forward_demodulation,[],[f736,f2334]) ).
fof(f3346,plain,
( spl52_248
| spl52_77
| spl52_3
| spl52_2
| ~ spl52_277
| ~ spl52_322 ),
inference(avatar_split_clause,[],[f3314,f3020,f2295,f870,f875,f1224,f2102]) ).
fof(f3314,plain,
( e20 = e22
| e20 = e23
| e20 = h1(e13)
| e20 = op2(e22,e20)
| ~ spl52_277
| ~ spl52_322 ),
inference(forward_demodulation,[],[f3313,f3022]) ).
fof(f3313,plain,
( e20 = e23
| e20 = h1(e13)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| ~ spl52_277 ),
inference(forward_demodulation,[],[f747,f2297]) ).
fof(f3341,plain,
( spl52_46
| ~ spl52_254
| ~ spl52_301
| ~ spl52_306 ),
inference(avatar_split_clause,[],[f2732,f2568,f2522,f2133,f1082]) ).
fof(f3336,plain,
( spl52_102
| spl52_77
| spl52_1
| spl52_3
| ~ spl52_304
| ~ spl52_324 ),
inference(avatar_split_clause,[],[f3312,f3087,f2552,f875,f865,f1224,f1345]) ).
fof(f3312,plain,
( e20 = e23
| e20 = e21
| e20 = h1(e13)
| e20 = op2(e20,e22)
| ~ spl52_304
| ~ spl52_324 ),
inference(forward_demodulation,[],[f3311,f3089]) ).
fof(f3311,plain,
( e20 = e21
| e20 = h1(e13)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| ~ spl52_304 ),
inference(forward_demodulation,[],[f748,f2554]) ).
fof(f748,plain,
( e20 = h1(e13)
| e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21) ),
inference(forward_demodulation,[],[f338,f227]) ).
fof(f338,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3334,plain,
( spl52_331
| ~ spl52_85
| ~ spl52_279
| ~ spl52_281 ),
inference(avatar_split_clause,[],[f3260,f2330,f2318,f1264,f3331]) ).
fof(f3260,plain,
( e21 = op2(e21,h2(e11))
| ~ spl52_85
| ~ spl52_279
| ~ spl52_281 ),
inference(forward_demodulation,[],[f2320,f2334]) ).
fof(f2320,plain,
( e21 = op2(e21,h2(e13))
| ~ spl52_279 ),
inference(avatar_component_clause,[],[f2318]) ).
fof(f3328,plain,
( spl52_318
| ~ spl52_256
| ~ spl52_280 ),
inference(avatar_split_clause,[],[f3259,f2323,f2143,f2896]) ).
fof(f3259,plain,
( e21 = op2(e21,h2(e10))
| ~ spl52_256
| ~ spl52_280 ),
inference(forward_demodulation,[],[f2325,f2145]) ).
fof(f2325,plain,
( e21 = op2(e21,op2(e21,h2(e13)))
| ~ spl52_280 ),
inference(avatar_component_clause,[],[f2323]) ).
fof(f3307,plain,
( spl52_2
| ~ spl52_286
| ~ spl52_310 ),
inference(avatar_split_clause,[],[f3305,f2609,f2424,f870]) ).
fof(f3305,plain,
( e20 = e22
| ~ spl52_286
| ~ spl52_310 ),
inference(forward_demodulation,[],[f2426,f2610]) ).
fof(f3300,plain,
( ~ spl52_100
| ~ spl52_166
| spl52_237 ),
inference(avatar_split_clause,[],[f2048,f2044,f1668,f1336]) ).
fof(f2044,plain,
( spl52_237
<=> op2(e20,e23) = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_237])]) ).
fof(f2048,plain,
( e20 != op2(e20,e23)
| ~ spl52_166
| spl52_237 ),
inference(forward_demodulation,[],[f2046,f1670]) ).
fof(f2046,plain,
( op2(e20,e23) != op2(e22,e23)
| spl52_237 ),
inference(avatar_component_clause,[],[f2044]) ).
fof(f3290,plain,
( spl52_4
| ~ spl52_92
| ~ spl52_260 ),
inference(avatar_split_clause,[],[f3289,f2180,f1300,f880]) ).
fof(f1300,plain,
( spl52_92
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_92])]) ).
fof(f3289,plain,
( e21 = e22
| ~ spl52_92
| ~ spl52_260 ),
inference(forward_demodulation,[],[f1302,f2182]) ).
fof(f1302,plain,
( e22 = op2(e22,e20)
| ~ spl52_92 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f3286,plain,
( spl52_2
| ~ spl52_102
| ~ spl52_285 ),
inference(avatar_split_clause,[],[f3249,f2420,f1345,f870]) ).
fof(f3249,plain,
( e20 = e22
| ~ spl52_102
| ~ spl52_285 ),
inference(superposition,[],[f1347,f2422]) ).
fof(f3278,plain,
( spl52_70
| ~ spl52_85
| ~ spl52_86 ),
inference(avatar_split_clause,[],[f2283,f1270,f1264,f1192]) ).
fof(f2283,plain,
( e21 = h2(e13)
| ~ spl52_85
| ~ spl52_86 ),
inference(forward_demodulation,[],[f1266,f1272]) ).
fof(f3270,plain,
( spl52_58
| ~ spl52_70
| ~ spl52_86
| ~ spl52_256 ),
inference(avatar_split_clause,[],[f2148,f2143,f1270,f1192,f1136]) ).
fof(f2148,plain,
( e21 = h2(e10)
| ~ spl52_70
| ~ spl52_86
| ~ spl52_256 ),
inference(forward_demodulation,[],[f2147,f1272]) ).
fof(f2147,plain,
( op2(e21,e21) = h2(e10)
| ~ spl52_70
| ~ spl52_256 ),
inference(forward_demodulation,[],[f2145,f1194]) ).
fof(f3255,plain,
( spl52_98
| spl52_70
| spl52_5
| spl52_1
| ~ spl52_298
| ~ spl52_310 ),
inference(avatar_split_clause,[],[f3193,f2609,f2504,f865,f885,f1192,f1327]) ).
fof(f3193,plain,
( e20 = e21
| e21 = e23
| e21 = h2(e13)
| e21 = op2(e21,e20)
| ~ spl52_298
| ~ spl52_310 ),
inference(forward_demodulation,[],[f2945,f2610]) ).
fof(f2945,plain,
( e21 = e23
| e21 = h2(e13)
| e21 = op2(e21,e22)
| e21 = op2(e21,e20)
| ~ spl52_298 ),
inference(forward_demodulation,[],[f738,f2506]) ).
fof(f3247,plain,
( spl52_4
| ~ spl52_98
| ~ spl52_322 ),
inference(avatar_split_clause,[],[f3240,f3020,f1327,f880]) ).
fof(f3240,plain,
( e21 = e22
| ~ spl52_98
| ~ spl52_322 ),
inference(superposition,[],[f3022,f1329]) ).
fof(f3213,plain,
( spl52_1
| ~ spl52_306
| ~ spl52_309 ),
inference(avatar_split_clause,[],[f3003,f2601,f2568,f865]) ).
fof(f3003,plain,
( e20 = e21
| ~ spl52_306
| ~ spl52_309 ),
inference(superposition,[],[f2603,f2570]) ).
fof(f3183,plain,
( spl52_167
| ~ spl52_96
| ~ spl52_272
| ~ spl52_310 ),
inference(avatar_split_clause,[],[f3169,f2609,f2253,f1318,f1676]) ).
fof(f3169,plain,
( e20 = h4(e13)
| ~ spl52_96
| ~ spl52_272
| ~ spl52_310 ),
inference(forward_demodulation,[],[f2254,f3013]) ).
fof(f3160,plain,
( spl52_322
| spl52_2
| spl52_6
| spl52_4
| ~ spl52_77
| ~ spl52_260
| ~ spl52_277 ),
inference(avatar_split_clause,[],[f3158,f2295,f2180,f1224,f880,f890,f870,f3020]) ).
fof(f3158,plain,
( e21 = e22
| e22 = e23
| e20 = e22
| e22 = op2(e21,e20)
| ~ spl52_77
| ~ spl52_260
| ~ spl52_277 ),
inference(forward_demodulation,[],[f3157,f2182]) ).
fof(f3157,plain,
( e22 = e23
| e20 = e22
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| ~ spl52_77
| ~ spl52_277 ),
inference(forward_demodulation,[],[f3156,f2297]) ).
fof(f3156,plain,
( e20 = e22
| e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| ~ spl52_77 ),
inference(forward_demodulation,[],[f743,f1225]) ).
fof(f3155,plain,
( ~ spl52_33
| spl52_4
| ~ spl52_320
| ~ spl52_322 ),
inference(avatar_split_clause,[],[f3153,f3020,f2907,f880,f1025]) ).
fof(f1025,plain,
( spl52_33
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_33])]) ).
fof(f3153,plain,
( e21 = e22
| ~ sP28
| ~ spl52_320
| ~ spl52_322 ),
inference(forward_demodulation,[],[f2929,f3022]) ).
fof(f2929,plain,
( e21 = op2(e21,e20)
| ~ sP28
| ~ spl52_320 ),
inference(trivial_inequality_removal,[],[f2928]) ).
fof(f2928,plain,
( e20 != e20
| e21 = op2(e21,e20)
| ~ sP28
| ~ spl52_320 ),
inference(forward_demodulation,[],[f770,f2908]) ).
fof(f2908,plain,
( e20 = h2(e13)
| ~ spl52_320 ),
inference(avatar_component_clause,[],[f2907]) ).
fof(f770,plain,
( e20 != h2(e13)
| e21 = op2(e21,e20)
| ~ sP28 ),
inference(forward_demodulation,[],[f451,f231]) ).
fof(f451,plain,
( e21 = op2(e21,e20)
| e20 != op2(e21,e21)
| ~ sP28 ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,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) )
| ~ sP28 ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,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) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f3150,plain,
( spl52_310
| spl52_320
| spl52_3
| spl52_2
| ~ spl52_298
| ~ spl52_322 ),
inference(avatar_split_clause,[],[f3146,f3020,f2504,f870,f875,f2907,f2609]) ).
fof(f3146,plain,
( e20 = e22
| e20 = e23
| e20 = h2(e13)
| e20 = op2(e21,e22)
| ~ spl52_298
| ~ spl52_322 ),
inference(forward_demodulation,[],[f2943,f3022]) ).
fof(f3145,plain,
( spl52_320
| ~ spl52_85
| ~ spl52_311 ),
inference(avatar_split_clause,[],[f2924,f2614,f1264,f2907]) ).
fof(f2924,plain,
( e20 = h2(e13)
| ~ spl52_85
| ~ spl52_311 ),
inference(superposition,[],[f1266,f2616]) ).
fof(f3138,plain,
( spl52_283
| spl52_329
| spl52_330
| spl52_291 ),
inference(avatar_split_clause,[],[f388,f2457,f3135,f3131,f2377]) ).
fof(f388,plain,
( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f3126,plain,
( ~ spl52_171
| ~ spl52_69
| spl52_214 ),
inference(avatar_split_clause,[],[f1928,f1924,f1187,f1698]) ).
fof(f1698,plain,
( spl52_171
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_171])]) ).
fof(f1924,plain,
( spl52_214
<=> op1(e12,e10) = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_214])]) ).
fof(f1928,plain,
( e10 != op1(e12,e10)
| ~ spl52_69
| spl52_214 ),
inference(forward_demodulation,[],[f1926,f1189]) ).
fof(f1926,plain,
( op1(e12,e10) != op1(e12,e13)
| spl52_214 ),
inference(avatar_component_clause,[],[f1924]) ).
fof(f3119,plain,
( spl52_103
| spl52_169
| spl52_171
| spl52_173 ),
inference(avatar_split_clause,[],[f387,f1709,f1698,f1687,f1350]) ).
fof(f387,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3111,plain,
( spl52_325
| spl52_326
| spl52_327
| spl52_328 ),
inference(avatar_split_clause,[],[f385,f3108,f3104,f3100,f3096]) ).
fof(f385,plain,
( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3090,plain,
( spl52_324
| spl52_154
| spl52_3
| spl52_5
| ~ spl52_77
| ~ spl52_304 ),
inference(avatar_split_clause,[],[f2941,f2552,f1224,f885,f875,f1604,f3087]) ).
fof(f2941,plain,
( e21 = e23
| e20 = e23
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| ~ spl52_77
| ~ spl52_304 ),
inference(forward_demodulation,[],[f2639,f2554]) ).
fof(f2639,plain,
( e20 = e23
| e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| ~ spl52_77 ),
inference(forward_demodulation,[],[f742,f1225]) ).
fof(f3079,plain,
( ~ spl52_277
| ~ spl52_96
| spl52_271
| ~ spl52_310 ),
inference(avatar_split_clause,[],[f3066,f2609,f2249,f1318,f2295]) ).
fof(f3066,plain,
( e23 != op2(e23,e20)
| ~ spl52_96
| spl52_271
| ~ spl52_310 ),
inference(forward_demodulation,[],[f2250,f3013]) ).
fof(f2250,plain,
( e23 != op2(e23,e21)
| spl52_271 ),
inference(avatar_component_clause,[],[f2249]) ).
fof(f3055,plain,
( spl52_2
| ~ spl52_77
| ~ spl52_84
| ~ spl52_313 ),
inference(avatar_split_clause,[],[f2774,f2734,f1259,f1224,f870]) ).
fof(f2774,plain,
( e20 = e22
| ~ spl52_77
| ~ spl52_84
| ~ spl52_313 ),
inference(forward_demodulation,[],[f2772,f1225]) ).
fof(f3053,plain,
( spl52_323
| ~ spl52_77
| ~ spl52_84
| ~ spl52_313 ),
inference(avatar_split_clause,[],[f3049,f2734,f1259,f1224,f3041]) ).
fof(f3049,plain,
( e20 = op2(e20,e20)
| ~ spl52_77
| ~ spl52_84
| ~ spl52_313 ),
inference(forward_demodulation,[],[f2736,f2774]) ).
fof(f3050,plain,
( ~ spl52_313
| ~ spl52_306
| ~ spl52_309
| spl52_322 ),
inference(avatar_split_clause,[],[f3038,f3020,f2601,f2568,f2734]) ).
fof(f3038,plain,
( op2(e20,e20) != e22
| ~ spl52_306
| ~ spl52_309
| spl52_322 ),
inference(forward_demodulation,[],[f3021,f3003]) ).
fof(f3021,plain,
( e22 != op2(e21,e20)
| spl52_322 ),
inference(avatar_component_clause,[],[f3020]) ).
fof(f3046,plain,
( spl52_282
| spl52_6
| spl52_2
| spl52_313
| ~ spl52_96
| ~ spl52_298
| ~ spl52_306
| ~ spl52_309 ),
inference(avatar_split_clause,[],[f3026,f2601,f2568,f2504,f1318,f2734,f870,f890,f2366]) ).
fof(f3026,plain,
( op2(e20,e20) = e22
| e20 = e22
| e22 = e23
| e22 = h2(e13)
| ~ spl52_96
| ~ spl52_298
| ~ spl52_306
| ~ spl52_309 ),
inference(forward_demodulation,[],[f3025,f3003]) ).
fof(f3025,plain,
( e20 = e22
| e22 = e23
| e22 = h2(e13)
| e22 = op2(e21,e20)
| ~ spl52_96
| ~ spl52_298
| ~ spl52_306
| ~ spl52_309 ),
inference(forward_demodulation,[],[f3024,f3003]) ).
fof(f3024,plain,
( e21 = e22
| e22 = e23
| e22 = h2(e13)
| e22 = op2(e21,e20)
| ~ spl52_96
| ~ spl52_298 ),
inference(forward_demodulation,[],[f2944,f1320]) ).
fof(f2944,plain,
( e22 = e23
| e22 = h2(e13)
| e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| ~ spl52_298 ),
inference(forward_demodulation,[],[f736,f2506]) ).
fof(f3044,plain,
( ~ spl52_323
| ~ spl52_306
| ~ spl52_309
| spl52_311 ),
inference(avatar_split_clause,[],[f3039,f2614,f2601,f2568,f3041]) ).
fof(f3039,plain,
( e20 != op2(e20,e20)
| ~ spl52_306
| ~ spl52_309
| spl52_311 ),
inference(forward_demodulation,[],[f2615,f3003]) ).
fof(f2615,plain,
( e20 != op2(e21,e21)
| spl52_311 ),
inference(avatar_component_clause,[],[f2614]) ).
fof(f3023,plain,
( spl52_322
| spl52_6
| spl52_2
| spl52_4
| ~ spl52_85
| ~ spl52_96
| ~ spl52_298
| ~ spl52_311 ),
inference(avatar_split_clause,[],[f2995,f2614,f2504,f1318,f1264,f880,f870,f890,f3020]) ).
fof(f2995,plain,
( e21 = e22
| e20 = e22
| e22 = e23
| e22 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_96
| ~ spl52_298
| ~ spl52_311 ),
inference(forward_demodulation,[],[f2994,f1320]) ).
fof(f2994,plain,
( e20 = e22
| e22 = e23
| e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_298
| ~ spl52_311 ),
inference(forward_demodulation,[],[f2944,f2924]) ).
fof(f2993,plain,
( spl52_4
| ~ spl52_96
| ~ spl52_286 ),
inference(avatar_split_clause,[],[f2976,f2424,f1318,f880]) ).
fof(f2976,plain,
( e21 = e22
| ~ spl52_96
| ~ spl52_286 ),
inference(superposition,[],[f1320,f2426]) ).
fof(f2986,plain,
( spl52_311
| ~ spl52_96
| ~ spl52_286
| ~ spl52_310 ),
inference(avatar_split_clause,[],[f2985,f2609,f2424,f1318,f2614]) ).
fof(f2985,plain,
( e20 = op2(e21,e21)
| ~ spl52_96
| ~ spl52_286
| ~ spl52_310 ),
inference(forward_demodulation,[],[f2610,f2976]) ).
fof(f2984,plain,
( spl52_310
| spl52_320
| spl52_3
| ~ spl52_298
| ~ spl52_316 ),
inference(avatar_split_clause,[],[f2964,f2816,f2504,f875,f2907,f2609]) ).
fof(f2964,plain,
( e20 = e23
| e20 = h2(e13)
| e20 = op2(e21,e22)
| ~ spl52_298
| ~ spl52_316 ),
inference(duplicate_literal_removal,[],[f2963]) ).
fof(f2963,plain,
( e20 = e23
| e20 = e23
| e20 = h2(e13)
| e20 = op2(e21,e22)
| ~ spl52_298
| ~ spl52_316 ),
inference(forward_demodulation,[],[f2875,f2506]) ).
fof(f2975,plain,
( spl52_96
| spl52_70
| spl52_5
| ~ spl52_298
| ~ spl52_316 ),
inference(avatar_split_clause,[],[f2962,f2816,f2504,f885,f1192,f1318]) ).
fof(f2962,plain,
( e21 = e23
| e21 = h2(e13)
| e21 = op2(e21,e22)
| ~ spl52_298
| ~ spl52_316 ),
inference(duplicate_literal_removal,[],[f2961]) ).
fof(f2961,plain,
( e21 = e23
| e21 = e23
| e21 = h2(e13)
| e21 = op2(e21,e22)
| ~ spl52_298
| ~ spl52_316 ),
inference(forward_demodulation,[],[f2877,f2506]) ).
fof(f2877,plain,
( e21 = e23
| e21 = h2(e13)
| e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| ~ spl52_316 ),
inference(forward_demodulation,[],[f738,f2818]) ).
fof(f2966,plain,
( spl52_286
| spl52_282
| spl52_6
| ~ spl52_298
| ~ spl52_316 ),
inference(avatar_split_clause,[],[f2960,f2816,f2504,f890,f2366,f2424]) ).
fof(f2960,plain,
( e22 = e23
| e22 = h2(e13)
| e22 = op2(e21,e22)
| ~ spl52_298
| ~ spl52_316 ),
inference(duplicate_literal_removal,[],[f2959]) ).
fof(f2959,plain,
( e22 = e23
| e22 = e23
| e22 = h2(e13)
| e22 = op2(e21,e22)
| ~ spl52_298
| ~ spl52_316 ),
inference(forward_demodulation,[],[f2876,f2506]) ).
fof(f2958,plain,
( spl52_96
| spl52_1
| spl52_5
| ~ spl52_85
| ~ spl52_298
| ~ spl52_311
| ~ spl52_316 ),
inference(avatar_split_clause,[],[f2950,f2816,f2614,f2504,f1264,f885,f865,f1318]) ).
fof(f2950,plain,
( e21 = e23
| e20 = e21
| e21 = op2(e21,e22)
| ~ spl52_85
| ~ spl52_298
| ~ spl52_311
| ~ spl52_316 ),
inference(duplicate_literal_removal,[],[f2949]) ).
fof(f2949,plain,
( e21 = e23
| e20 = e21
| e21 = e23
| e21 = op2(e21,e22)
| ~ spl52_85
| ~ spl52_298
| ~ spl52_311
| ~ spl52_316 ),
inference(forward_demodulation,[],[f2948,f2506]) ).
fof(f2948,plain,
( e20 = e21
| e21 = e23
| e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| ~ spl52_85
| ~ spl52_311
| ~ spl52_316 ),
inference(forward_demodulation,[],[f2877,f2924]) ).
fof(f2940,plain,
( spl52_3
| ~ spl52_77
| ~ spl52_317 ),
inference(avatar_split_clause,[],[f2938,f2820,f1224,f875]) ).
fof(f2938,plain,
( e20 = e23
| ~ spl52_77
| ~ spl52_317 ),
inference(forward_demodulation,[],[f2822,f1225]) ).
fof(f2935,plain,
( spl52_3
| ~ spl52_277
| ~ spl52_307 ),
inference(avatar_split_clause,[],[f2934,f2593,f2295,f875]) ).
fof(f2934,plain,
( e20 = e23
| ~ spl52_277
| ~ spl52_307 ),
inference(forward_demodulation,[],[f2297,f2595]) ).
fof(f2926,plain,
( ~ spl52_33
| ~ spl52_320
| spl52_5
| ~ spl52_316 ),
inference(avatar_split_clause,[],[f2921,f2816,f885,f2907,f1025]) ).
fof(f2921,plain,
( e21 = e23
| e20 != h2(e13)
| ~ sP28
| ~ spl52_316 ),
inference(forward_demodulation,[],[f770,f2818]) ).
fof(f2920,plain,
( spl52_250
| spl52_320
| spl52_3
| spl52_1
| ~ spl52_160
| ~ spl52_271 ),
inference(avatar_split_clause,[],[f2862,f2249,f1637,f865,f875,f2907,f2113]) ).
fof(f2862,plain,
( e20 = e21
| e20 = e23
| e20 = h2(e13)
| e20 = op2(e22,e21)
| ~ spl52_160
| ~ spl52_271 ),
inference(forward_demodulation,[],[f2859,f1638]) ).
fof(f1638,plain,
( e21 = op2(e20,e21)
| ~ spl52_160 ),
inference(avatar_component_clause,[],[f1637]) ).
fof(f2859,plain,
( e20 = e23
| e20 = h2(e13)
| e20 = op2(e22,e21)
| e20 = op2(e20,e21)
| ~ spl52_271 ),
inference(forward_demodulation,[],[f739,f2251]) ).
fof(f2917,plain,
( spl52_321
| ~ spl52_256
| ~ spl52_267 ),
inference(avatar_split_clause,[],[f2847,f2223,f2143,f2914]) ).
fof(f2223,plain,
( spl52_267
<=> h2(e11) = op2(e21,op2(e21,h2(e13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_267])]) ).
fof(f2847,plain,
( h2(e11) = op2(e21,h2(e10))
| ~ spl52_256
| ~ spl52_267 ),
inference(forward_demodulation,[],[f2225,f2145]) ).
fof(f2225,plain,
( h2(e11) = op2(e21,op2(e21,h2(e13)))
| ~ spl52_267 ),
inference(avatar_component_clause,[],[f2223]) ).
fof(f2910,plain,
( ~ spl52_320
| ~ spl52_85
| spl52_311 ),
inference(avatar_split_clause,[],[f2709,f2614,f1264,f2907]) ).
fof(f2709,plain,
( e20 != h2(e13)
| ~ spl52_85
| spl52_311 ),
inference(superposition,[],[f2615,f1266]) ).
fof(f2905,plain,
( spl52_319
| ~ spl52_256
| ~ spl52_267
| ~ spl52_284 ),
inference(avatar_split_clause,[],[f2848,f2405,f2223,f2143,f2902]) ).
fof(f2848,plain,
( e20 = op2(e21,h2(e10))
| ~ spl52_256
| ~ spl52_267
| ~ spl52_284 ),
inference(forward_demodulation,[],[f2847,f2406]) ).
fof(f2899,plain,
( ~ spl52_318
| ~ spl52_256
| spl52_280 ),
inference(avatar_split_clause,[],[f2846,f2323,f2143,f2896]) ).
fof(f2846,plain,
( e21 != op2(e21,h2(e10))
| ~ spl52_256
| spl52_280 ),
inference(forward_demodulation,[],[f2324,f2145]) ).
fof(f2874,plain,
( spl52_6
| ~ spl52_297
| ~ spl52_299 ),
inference(avatar_split_clause,[],[f2806,f2514,f2500,f890]) ).
fof(f2806,plain,
( e22 = e23
| ~ spl52_297
| ~ spl52_299 ),
inference(superposition,[],[f2516,f2502]) ).
fof(f2861,plain,
( spl52_2
| ~ spl52_284
| ~ spl52_315 ),
inference(avatar_split_clause,[],[f2833,f2779,f2405,f870]) ).
fof(f2779,plain,
( spl52_315
<=> e22 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_315])]) ).
fof(f2833,plain,
( e20 = e22
| ~ spl52_284
| ~ spl52_315 ),
inference(forward_demodulation,[],[f2781,f2406]) ).
fof(f2781,plain,
( e22 = h2(e11)
| ~ spl52_315 ),
inference(avatar_component_clause,[],[f2779]) ).
fof(f2839,plain,
( spl52_5
| ~ spl52_98
| ~ spl52_316 ),
inference(avatar_split_clause,[],[f2825,f2816,f1327,f885]) ).
fof(f2825,plain,
( e21 = e23
| ~ spl52_98
| ~ spl52_316 ),
inference(forward_demodulation,[],[f2818,f1329]) ).
fof(f2827,plain,
( spl52_1
| ~ spl52_77
| ~ spl52_84
| ~ spl52_98
| ~ spl52_297
| ~ spl52_299
| ~ spl52_313
| ~ spl52_316 ),
inference(avatar_split_clause,[],[f2826,f2816,f2734,f2514,f2500,f1327,f1259,f1224,f865]) ).
fof(f2826,plain,
( e20 = e21
| ~ spl52_77
| ~ spl52_84
| ~ spl52_98
| ~ spl52_297
| ~ spl52_299
| ~ spl52_313
| ~ spl52_316 ),
inference(forward_demodulation,[],[f2825,f2808]) ).
fof(f2808,plain,
( e20 = e23
| ~ spl52_77
| ~ spl52_84
| ~ spl52_297
| ~ spl52_299
| ~ spl52_313 ),
inference(forward_demodulation,[],[f2801,f2774]) ).
fof(f2801,plain,
( e22 = e23
| ~ spl52_297
| ~ spl52_299 ),
inference(superposition,[],[f2502,f2516]) ).
fof(f2823,plain,
( spl52_316
| spl52_139
| spl52_277
| spl52_317 ),
inference(avatar_split_clause,[],[f741,f2820,f2295,f1523,f2816]) ).
fof(f1523,plain,
( spl52_139
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_139])]) ).
fof(f741,plain,
( e23 = h1(e13)
| e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20) ),
inference(forward_demodulation,[],[f345,f227]) ).
fof(f345,plain,
( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f2811,plain,
( spl52_5
| spl52_1
| spl52_160
| ~ spl52_77
| ~ spl52_84
| ~ spl52_85
| ~ spl52_271
| ~ spl52_281
| ~ spl52_284
| ~ spl52_313 ),
inference(avatar_split_clause,[],[f2788,f2734,f2405,f2330,f2249,f1264,f1259,f1224,f1637,f865,f885]) ).
fof(f2788,plain,
( e21 = op2(e20,e21)
| e20 = e21
| e21 = e23
| ~ spl52_77
| ~ spl52_84
| ~ spl52_85
| ~ spl52_271
| ~ spl52_281
| ~ spl52_284
| ~ spl52_313 ),
inference(duplicate_literal_removal,[],[f2787]) ).
fof(f2787,plain,
( e21 = op2(e20,e21)
| e20 = e21
| e21 = e23
| e21 = op2(e20,e21)
| ~ spl52_77
| ~ spl52_84
| ~ spl52_85
| ~ spl52_271
| ~ spl52_281
| ~ spl52_284
| ~ spl52_313 ),
inference(forward_demodulation,[],[f2786,f2774]) ).
fof(f2786,plain,
( e20 = e21
| e21 = e23
| e21 = op2(e22,e21)
| e21 = op2(e20,e21)
| ~ spl52_85
| ~ spl52_271
| ~ spl52_281
| ~ spl52_284 ),
inference(forward_demodulation,[],[f2699,f2406]) ).
fof(f2699,plain,
( e21 = e23
| e21 = h2(e11)
| e21 = op2(e22,e21)
| e21 = op2(e20,e21)
| ~ spl52_85
| ~ spl52_271
| ~ spl52_281 ),
inference(forward_demodulation,[],[f2631,f2251]) ).
fof(f2631,plain,
( e21 = h2(e11)
| e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e20,e21)
| ~ spl52_85
| ~ spl52_281 ),
inference(forward_demodulation,[],[f737,f2334]) ).
fof(f2785,plain,
( spl52_5
| ~ spl52_94
| ~ spl52_298 ),
inference(avatar_split_clause,[],[f2752,f2504,f1309,f885]) ).
fof(f2752,plain,
( e21 = e23
| ~ spl52_94
| ~ spl52_298 ),
inference(superposition,[],[f1311,f2506]) ).
fof(f2784,plain,
( spl52_284
| ~ spl52_77
| ~ spl52_84
| ~ spl52_313
| ~ spl52_315 ),
inference(avatar_split_clause,[],[f2783,f2779,f2734,f1259,f1224,f2405]) ).
fof(f2783,plain,
( e20 = h2(e11)
| ~ spl52_77
| ~ spl52_84
| ~ spl52_313
| ~ spl52_315 ),
inference(forward_demodulation,[],[f2781,f2774]) ).
fof(f2782,plain,
( spl52_286
| spl52_315
| spl52_6
| spl52_4
| ~ spl52_85
| ~ spl52_98
| ~ spl52_281
| ~ spl52_298 ),
inference(avatar_split_clause,[],[f2748,f2504,f2330,f1327,f1264,f880,f890,f2779,f2424]) ).
fof(f2748,plain,
( e21 = e22
| e22 = e23
| e22 = h2(e11)
| e22 = op2(e21,e22)
| ~ spl52_85
| ~ spl52_98
| ~ spl52_281
| ~ spl52_298 ),
inference(forward_demodulation,[],[f2711,f1329]) ).
fof(f2711,plain,
( e22 = e23
| e22 = h2(e11)
| e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_281
| ~ spl52_298 ),
inference(forward_demodulation,[],[f2675,f2506]) ).
fof(f2747,plain,
( spl52_3
| ~ spl52_271
| ~ spl52_308 ),
inference(avatar_split_clause,[],[f2665,f2597,f2249,f875]) ).
fof(f2665,plain,
( e20 = e23
| ~ spl52_271
| ~ spl52_308 ),
inference(superposition,[],[f2599,f2251]) ).
fof(f2743,plain,
( spl52_98
| ~ spl52_94
| ~ spl52_271
| ~ spl52_308 ),
inference(avatar_split_clause,[],[f2727,f2597,f2249,f1309,f1327]) ).
fof(f2727,plain,
( e21 = op2(e21,e20)
| ~ spl52_94
| ~ spl52_271
| ~ spl52_308 ),
inference(forward_demodulation,[],[f1311,f2665]) ).
fof(f2742,plain,
( ~ spl52_314
| ~ spl52_271
| spl52_304
| ~ spl52_308 ),
inference(avatar_split_clause,[],[f2726,f2597,f2552,f2249,f2739]) ).
fof(f2726,plain,
( op2(e20,e20) != e21
| ~ spl52_271
| spl52_304
| ~ spl52_308 ),
inference(forward_demodulation,[],[f2553,f2665]) ).
fof(f2553,plain,
( e21 != op2(e20,e23)
| spl52_304 ),
inference(avatar_component_clause,[],[f2552]) ).
fof(f2737,plain,
( spl52_313
| ~ spl52_271
| ~ spl52_299
| ~ spl52_308 ),
inference(avatar_split_clause,[],[f2717,f2597,f2514,f2249,f2734]) ).
fof(f2717,plain,
( op2(e20,e20) = e22
| ~ spl52_271
| ~ spl52_299
| ~ spl52_308 ),
inference(forward_demodulation,[],[f2516,f2665]) ).
fof(f2716,plain,
( spl52_4
| ~ spl52_299
| ~ spl52_304 ),
inference(avatar_split_clause,[],[f2691,f2552,f2514,f880]) ).
fof(f2691,plain,
( e21 = e22
| ~ spl52_299
| ~ spl52_304 ),
inference(forward_demodulation,[],[f2516,f2554]) ).
fof(f2710,plain,
( spl52_311
| spl52_86
| ~ spl52_271
| ~ spl52_287
| ~ spl52_306
| ~ spl52_308 ),
inference(avatar_split_clause,[],[f2705,f2597,f2568,f2428,f2249,f1270,f2614]) ).
fof(f2705,plain,
( e21 = op2(e21,e21)
| e20 = op2(e21,e21)
| ~ spl52_271
| ~ spl52_287
| ~ spl52_306
| ~ spl52_308 ),
inference(duplicate_literal_removal,[],[f2704]) ).
fof(f2704,plain,
( e21 = op2(e21,e21)
| e20 = op2(e21,e21)
| e21 = op2(e21,e21)
| ~ spl52_271
| ~ spl52_287
| ~ spl52_306
| ~ spl52_308 ),
inference(forward_demodulation,[],[f2703,f2655]) ).
fof(f2703,plain,
( e20 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| ~ spl52_271
| ~ spl52_308 ),
inference(duplicate_literal_removal,[],[f2702]) ).
fof(f2702,plain,
( e20 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21)
| ~ spl52_271
| ~ spl52_308 ),
inference(forward_demodulation,[],[f375,f2665]) ).
fof(f375,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2692,plain,
( spl52_1
| spl52_98
| ~ spl52_85
| ~ spl52_271
| ~ spl52_281
| ~ spl52_287
| ~ spl52_298
| ~ spl52_306
| ~ spl52_308
| ~ spl52_311 ),
inference(avatar_split_clause,[],[f2685,f2614,f2597,f2568,f2504,f2428,f2330,f2249,f1264,f1327,f865]) ).
fof(f2685,plain,
( e21 = op2(e21,e20)
| e20 = e21
| ~ spl52_85
| ~ spl52_271
| ~ spl52_281
| ~ spl52_287
| ~ spl52_298
| ~ spl52_306
| ~ spl52_308
| ~ spl52_311 ),
inference(forward_demodulation,[],[f2684,f2655]) ).
fof(f2684,plain,
( e20 = e21
| e22 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_271
| ~ spl52_281
| ~ spl52_287
| ~ spl52_298
| ~ spl52_306
| ~ spl52_308
| ~ spl52_311 ),
inference(duplicate_literal_removal,[],[f2683]) ).
fof(f2683,plain,
( e20 = e21
| e20 = e21
| e22 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_271
| ~ spl52_281
| ~ spl52_287
| ~ spl52_298
| ~ spl52_306
| ~ spl52_308
| ~ spl52_311 ),
inference(forward_demodulation,[],[f2682,f2616]) ).
fof(f2682,plain,
( e21 = op2(e21,e21)
| e20 = e21
| e22 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_271
| ~ spl52_281
| ~ spl52_287
| ~ spl52_298
| ~ spl52_306
| ~ spl52_308
| ~ spl52_311 ),
inference(forward_demodulation,[],[f2681,f2655]) ).
fof(f2681,plain,
( e20 = e21
| e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_271
| ~ spl52_281
| ~ spl52_287
| ~ spl52_298
| ~ spl52_306
| ~ spl52_308
| ~ spl52_311 ),
inference(duplicate_literal_removal,[],[f2680]) ).
fof(f2680,plain,
( e20 = e21
| e20 = e21
| e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_271
| ~ spl52_281
| ~ spl52_287
| ~ spl52_298
| ~ spl52_306
| ~ spl52_308
| ~ spl52_311 ),
inference(forward_demodulation,[],[f2679,f2655]) ).
fof(f2679,plain,
( e20 = e22
| e20 = e21
| e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_271
| ~ spl52_281
| ~ spl52_287
| ~ spl52_298
| ~ spl52_306
| ~ spl52_308
| ~ spl52_311 ),
inference(forward_demodulation,[],[f2678,f2665]) ).
fof(f2678,plain,
( e22 = e23
| e20 = e21
| e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_281
| ~ spl52_287
| ~ spl52_298
| ~ spl52_306
| ~ spl52_311 ),
inference(forward_demodulation,[],[f2677,f2506]) ).
fof(f2677,plain,
( e20 = e21
| e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_281
| ~ spl52_287
| ~ spl52_306
| ~ spl52_311 ),
inference(forward_demodulation,[],[f2676,f2655]) ).
fof(f2676,plain,
( e20 = e22
| e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| ~ spl52_85
| ~ spl52_281
| ~ spl52_311 ),
inference(forward_demodulation,[],[f2675,f2623]) ).
fof(f2689,plain,
( spl52_272
| ~ spl52_287
| ~ spl52_301
| ~ spl52_306 ),
inference(avatar_split_clause,[],[f2687,f2568,f2522,f2428,f2253]) ).
fof(f2687,plain,
( e21 = h4(e13)
| ~ spl52_287
| ~ spl52_301
| ~ spl52_306 ),
inference(forward_demodulation,[],[f2524,f2655]) ).
fof(f2673,plain,
( spl52_6
| ~ spl52_298
| ~ spl52_300 ),
inference(avatar_split_clause,[],[f2642,f2518,f2504,f890]) ).
fof(f2642,plain,
( e22 = e23
| ~ spl52_298
| ~ spl52_300 ),
inference(superposition,[],[f2506,f2520]) ).
fof(f2638,plain,
( spl52_1
| ~ spl52_166
| ~ spl52_305 ),
inference(avatar_split_clause,[],[f2636,f2556,f1668,f865]) ).
fof(f2556,plain,
( spl52_305
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_305])]) ).
fof(f2636,plain,
( e20 = e21
| ~ spl52_166
| ~ spl52_305 ),
inference(forward_demodulation,[],[f2558,f1670]) ).
fof(f2558,plain,
( e21 = op2(e22,e23)
| ~ spl52_305 ),
inference(avatar_component_clause,[],[f2556]) ).
fof(f2635,plain,
( ~ spl52_75
| ~ spl52_271
| ~ spl52_272 ),
inference(avatar_split_clause,[],[f2630,f2253,f2249,f1215]) ).
fof(f1215,plain,
( spl52_75
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_75])]) ).
fof(f2630,plain,
( ~ sP25
| ~ spl52_271
| ~ spl52_272 ),
inference(trivial_inequality_removal,[],[f2629]) ).
fof(f2629,plain,
( e21 != e21
| ~ sP25
| ~ spl52_271
| ~ spl52_272 ),
inference(forward_demodulation,[],[f2576,f2254]) ).
fof(f2576,plain,
( e21 != h4(e13)
| ~ sP25
| ~ spl52_271 ),
inference(trivial_inequality_removal,[],[f2575]) ).
fof(f2575,plain,
( e23 != e23
| e21 != h4(e13)
| ~ sP25
| ~ spl52_271 ),
inference(forward_demodulation,[],[f781,f2251]) ).
fof(f781,plain,
( e21 != h4(e13)
| e23 != op2(e23,e21)
| ~ sP25 ),
inference(forward_demodulation,[],[f468,f223]) ).
fof(f468,plain,
( e23 != op2(e23,e21)
| e21 != op2(e23,e23)
| ~ sP25 ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,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(e23,e21) )
| ~ sP25 ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,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(e23,e21) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f2628,plain,
( spl52_5
| ~ spl52_156
| ~ spl52_271 ),
inference(avatar_split_clause,[],[f2584,f2249,f1615,f885]) ).
fof(f2584,plain,
( e21 = e23
| ~ spl52_156
| ~ spl52_271 ),
inference(superposition,[],[f1616,f2251]) ).
fof(f2622,plain,
( ~ spl52_312
| ~ spl52_156
| ~ spl52_271
| spl52_307 ),
inference(avatar_split_clause,[],[f2607,f2593,f2249,f1615,f2619]) ).
fof(f2607,plain,
( e20 != op2(e21,e20)
| ~ spl52_156
| ~ spl52_271
| spl52_307 ),
inference(forward_demodulation,[],[f2594,f2584]) ).
fof(f2594,plain,
( e20 != op2(e23,e20)
| spl52_307 ),
inference(avatar_component_clause,[],[f2593]) ).
fof(f2617,plain,
( spl52_311
| ~ spl52_156
| ~ spl52_271
| ~ spl52_308 ),
inference(avatar_split_clause,[],[f2606,f2597,f2249,f1615,f2614]) ).
fof(f2606,plain,
( e20 = op2(e21,e21)
| ~ spl52_156
| ~ spl52_271
| ~ spl52_308 ),
inference(forward_demodulation,[],[f2599,f2584]) ).
fof(f2612,plain,
( ~ spl52_310
| ~ spl52_156
| ~ spl52_271
| spl52_309 ),
inference(avatar_split_clause,[],[f2605,f2601,f2249,f1615,f2609]) ).
fof(f2605,plain,
( e20 != op2(e21,e22)
| ~ spl52_156
| ~ spl52_271
| spl52_309 ),
inference(forward_demodulation,[],[f2602,f2584]) ).
fof(f2602,plain,
( e20 != op2(e23,e22)
| spl52_309 ),
inference(avatar_component_clause,[],[f2601]) ).
fof(f2604,plain,
( spl52_307
| spl52_308
| spl52_309
| spl52_167 ),
inference(avatar_split_clause,[],[f730,f1676,f2601,f2597,f2593]) ).
fof(f730,plain,
( e20 = h4(e13)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) ),
inference(forward_demodulation,[],[f362,f223]) ).
fof(f362,plain,
( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2574,plain,
( spl52_5
| ~ spl52_297
| ~ spl52_304 ),
inference(avatar_split_clause,[],[f2561,f2552,f2500,f885]) ).
fof(f2561,plain,
( e21 = e23
| ~ spl52_297
| ~ spl52_304 ),
inference(superposition,[],[f2554,f2502]) ).
fof(f2571,plain,
( spl52_276
| spl52_156
| spl52_306
| spl52_272 ),
inference(avatar_split_clause,[],[f728,f2253,f2568,f1615,f2275]) ).
fof(f2275,plain,
( spl52_276
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_276])]) ).
fof(f728,plain,
( e21 = h4(e13)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) ),
inference(forward_demodulation,[],[f364,f223]) ).
fof(f364,plain,
( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2559,plain,
( spl52_304
| spl52_94
| spl52_305
| spl52_272 ),
inference(avatar_split_clause,[],[f727,f2253,f2556,f1309,f2552]) ).
fof(f727,plain,
( e21 = h4(e13)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) ),
inference(forward_demodulation,[],[f365,f223]) ).
fof(f365,plain,
( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2544,plain,
( spl52_302
| spl52_303
| spl52_287
| spl52_301 ),
inference(avatar_split_clause,[],[f726,f2522,f2428,f2541,f2537]) ).
fof(f726,plain,
( e22 = h4(e13)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) ),
inference(forward_demodulation,[],[f366,f223]) ).
fof(f366,plain,
( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2527,plain,
( spl52_2
| ~ spl52_90
| ~ spl52_166 ),
inference(avatar_split_clause,[],[f2526,f1668,f1291,f870]) ).
fof(f1291,plain,
( spl52_90
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_90])]) ).
fof(f2526,plain,
( e20 = e22
| ~ spl52_90
| ~ spl52_166 ),
inference(forward_demodulation,[],[f1293,f1670]) ).
fof(f1293,plain,
( e22 = op2(e22,e23)
| ~ spl52_90 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f2525,plain,
( spl52_299
| spl52_300
| spl52_90
| spl52_301 ),
inference(avatar_split_clause,[],[f725,f2522,f1291,f2518,f2514]) ).
fof(f725,plain,
( e22 = h4(e13)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(forward_demodulation,[],[f367,f223]) ).
fof(f367,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2507,plain,
( spl52_297
| spl52_298
| spl52_135
| spl52_72 ),
inference(avatar_split_clause,[],[f723,f1201,f1501,f2504,f2500]) ).
fof(f1501,plain,
( spl52_135
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_135])]) ).
fof(f723,plain,
( e23 = h4(e13)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(forward_demodulation,[],[f369,f223]) ).
fof(f369,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2489,plain,
( spl52_294
| spl52_295
| spl52_296
| spl52_28 ),
inference(avatar_split_clause,[],[f752,f1000,f2486,f2482,f2478]) ).
fof(f752,plain,
( e12 = e13
| e12 = op1(e13,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(forward_demodulation,[],[f407,f337]) ).
fof(f407,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2469,plain,
( ~ spl52_293
| spl52_155
| ~ spl52_271 ),
inference(avatar_split_clause,[],[f2382,f2249,f1609,f2466]) ).
fof(f1609,plain,
( spl52_155
<=> op2(e23,e21) = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_155])]) ).
fof(f2382,plain,
( e23 != h2(e13)
| spl52_155
| ~ spl52_271 ),
inference(superposition,[],[f1611,f2251]) ).
fof(f1611,plain,
( op2(e23,e21) != h2(e13)
| spl52_155 ),
inference(avatar_component_clause,[],[f1609]) ).
fof(f2464,plain,
( spl52_291
| spl52_118
| spl52_292
| spl52_23 ),
inference(avatar_split_clause,[],[f751,f975,f2461,f1420,f2457]) ).
fof(f751,plain,
( e10 = e11
| e11 = op1(e13,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) ),
inference(forward_demodulation,[],[f413,f722]) ).
fof(f413,plain,
( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2450,plain,
( spl52_288
| spl52_289
| spl52_290
| spl52_24 ),
inference(avatar_split_clause,[],[f750,f980,f2447,f2443,f2439]) ).
fof(f750,plain,
( e10 = e12
| e12 = op1(e13,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(forward_demodulation,[],[f415,f722]) ).
fof(f415,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2431,plain,
( spl52_285
| spl52_286
| spl52_287
| spl52_6 ),
inference(avatar_split_clause,[],[f731,f890,f2428,f2424,f2420]) ).
fof(f731,plain,
( e22 = e23
| e22 = op2(e23,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(forward_demodulation,[],[f359,f334]) ).
fof(f334,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e23 = op2(e22,e22)
& e21 = op2(e22,op2(e22,op2(e22,e22)))
& e20 = op2(e22,op2(e22,e22)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f359,plain,
( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2409,plain,
( spl52_116
| spl52_114
| spl52_24
| spl52_28 ),
inference(avatar_split_clause,[],[f754,f1000,f980,f1402,f1411]) ).
fof(f754,plain,
( e12 = e13
| e10 = e12
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(forward_demodulation,[],[f753,f337]) ).
fof(f753,plain,
( e10 = e12
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(forward_demodulation,[],[f406,f722]) ).
fof(f406,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2408,plain,
( ~ spl52_33
| spl52_98
| ~ spl52_284
| ~ spl52_85
| ~ spl52_281 ),
inference(avatar_split_clause,[],[f2356,f2330,f1264,f2405,f1327,f1025]) ).
fof(f2356,plain,
( e20 != h2(e11)
| e21 = op2(e21,e20)
| ~ sP28
| ~ spl52_85
| ~ spl52_281 ),
inference(forward_demodulation,[],[f770,f2334]) ).
fof(f2393,plain,
( ~ spl52_128
| ~ spl52_104 ),
inference(avatar_split_clause,[],[f2392,f1355,f1466]) ).
fof(f1466,plain,
( spl52_128
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_128])]) ).
fof(f2392,plain,
( ~ sP33
| ~ spl52_104 ),
inference(trivial_inequality_removal,[],[f2391]) ).
fof(f2391,plain,
( e11 != e11
| ~ sP33
| ~ spl52_104 ),
inference(forward_demodulation,[],[f639,f1357]) ).
fof(f639,plain,
( e11 != op1(e11,e11)
| ~ sP33 ),
inference(duplicate_literal_removal,[],[f628]) ).
fof(f628,plain,
( e11 != op1(e11,e11)
| e11 != op1(e11,e11)
| ~ sP33 ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,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(e10,e11) )
| ~ sP33 ),
inference(nnf_transformation,[],[f56]) ).
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 )
& e10 = op1(e10,e11) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f2390,plain,
( ~ spl52_109
| ~ spl52_104 ),
inference(avatar_split_clause,[],[f2389,f1355,f1380]) ).
fof(f2389,plain,
( ~ sP45
| ~ spl52_104 ),
inference(trivial_inequality_removal,[],[f2388]) ).
fof(f2388,plain,
( e11 != e11
| ~ sP45
| ~ spl52_104 ),
inference(forward_demodulation,[],[f651,f1357]) ).
fof(f651,plain,
( e11 != op1(e11,e11)
| ~ sP45 ),
inference(duplicate_literal_removal,[],[f568]) ).
fof(f568,plain,
( e11 != op1(e11,e11)
| e11 != op1(e11,e11)
| ~ sP45 ),
inference(cnf_transformation,[],[f114]) ).
fof(f2387,plain,
( ~ spl52_130
| spl52_103 ),
inference(avatar_split_clause,[],[f631,f1350,f1475]) ).
fof(f1475,plain,
( spl52_130
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_130])]) ).
fof(f631,plain,
( e10 = op1(e10,e10)
| ~ sP32 ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,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) )
| ~ sP32 ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,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) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f2381,plain,
( ~ spl52_75
| spl52_271 ),
inference(avatar_split_clause,[],[f464,f2249,f1215]) ).
fof(f464,plain,
( e23 = op2(e23,e21)
| ~ sP25 ),
inference(cnf_transformation,[],[f94]) ).
fof(f2380,plain,
( ~ spl52_283
| spl52_170
| ~ spl52_259 ),
inference(avatar_split_clause,[],[f2372,f2170,f1692,f2377]) ).
fof(f1692,plain,
( spl52_170
<=> op1(e10,e10) = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_170])]) ).
fof(f2372,plain,
( op1(e10,e10) != e11
| spl52_170
| ~ spl52_259 ),
inference(forward_demodulation,[],[f1694,f2172]) ).
fof(f1694,plain,
( op1(e10,e10) != op1(e12,e10)
| spl52_170 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f2370,plain,
( ~ spl52_108
| ~ spl52_68
| spl52_190 ),
inference(avatar_split_clause,[],[f1800,f1796,f1182,f1375]) ).
fof(f1796,plain,
( spl52_190
<=> op1(e12,e12) = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_190])]) ).
fof(f1800,plain,
( e13 != op1(e13,e12)
| ~ spl52_68
| spl52_190 ),
inference(forward_demodulation,[],[f1798,f1184]) ).
fof(f1798,plain,
( op1(e12,e12) != op1(e13,e12)
| spl52_190 ),
inference(avatar_component_clause,[],[f1796]) ).
fof(f2369,plain,
( ~ spl52_282
| spl52_157
| ~ spl52_273 ),
inference(avatar_split_clause,[],[f2339,f2258,f1620,f2366]) ).
fof(f1620,plain,
( spl52_157
<=> op2(e22,e21) = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_157])]) ).
fof(f2339,plain,
( e22 != h2(e13)
| spl52_157
| ~ spl52_273 ),
inference(superposition,[],[f1622,f2260]) ).
fof(f1622,plain,
( op2(e22,e21) != h2(e13)
| spl52_157 ),
inference(avatar_component_clause,[],[f1620]) ).
fof(f2355,plain,
( ~ spl52_35
| spl52_6
| ~ spl52_88 ),
inference(avatar_split_clause,[],[f2354,f1281,f890,f1033]) ).
fof(f1033,plain,
( spl52_35
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_35])]) ).
fof(f2354,plain,
( e22 = e23
| ~ sP30
| ~ spl52_88 ),
inference(forward_demodulation,[],[f763,f1283]) ).
fof(f763,plain,
( e22 = h3(e13)
| ~ sP30 ),
inference(forward_demodulation,[],[f439,f235]) ).
fof(f235,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( op2(e22,e22) = h3(e13)
& op2(e22,op2(e22,op2(e22,e22))) = h3(e11)
& op2(e22,op2(e22,e22)) = h3(e10)
& e22 = h3(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f439,plain,
( e22 = op2(e22,e22)
| ~ sP30 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,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) )
| ~ sP30 ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,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) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f2353,plain,
( ~ spl52_77
| spl52_145
| ~ spl52_278 ),
inference(avatar_split_clause,[],[f2313,f2309,f1556,f1224]) ).
fof(f1556,plain,
( spl52_145
<=> op2(e20,e21) = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_145])]) ).
fof(f2309,plain,
( spl52_278
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_278])]) ).
fof(f2313,plain,
( e20 != h1(e13)
| spl52_145
| ~ spl52_278 ),
inference(superposition,[],[f1558,f2311]) ).
fof(f2311,plain,
( e20 = op2(e20,e21)
| ~ spl52_278 ),
inference(avatar_component_clause,[],[f2309]) ).
fof(f1558,plain,
( op2(e20,e21) != h1(e13)
| spl52_145 ),
inference(avatar_component_clause,[],[f1556]) ).
fof(f2352,plain,
( ~ spl52_105
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f653,f1366,f1362]) ).
fof(f1362,plain,
( spl52_105
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_105])]) ).
fof(f653,plain,
( e13 != op1(e13,e13)
| ~ sP47 ),
inference(duplicate_literal_removal,[],[f560]) ).
fof(f560,plain,
( e13 != op1(e13,e13)
| e13 != op1(e13,e13)
| ~ sP47 ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,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) )
| ~ sP47 ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,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) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f2346,plain,
( spl52_130
| spl52_128
| spl52_126
| spl52_124
| spl52_122
| spl52_121
| spl52_119
| spl52_117
| spl52_115
| spl52_113
| spl52_42
| spl52_41
| spl52_111
| spl52_109
| spl52_107
| spl52_105 ),
inference(avatar_split_clause,[],[f636,f1362,f1371,f1380,f1389,f1059,f1064,f1398,f1407,f1416,f1425,f1434,f1439,f1448,f1457,f1466,f1475]) ).
fof(f1407,plain,
( spl52_115
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_115])]) ).
fof(f1064,plain,
( spl52_42
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_42])]) ).
fof(f1059,plain,
( spl52_41
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_41])]) ).
fof(f1371,plain,
( spl52_107
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_107])]) ).
fof(f636,plain,
( sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32 ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( sP51
| sP50
| sP49
| sP48 )
& ( sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32 ) ),
inference(definition_folding,[],[f10,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55]) ).
fof(f63,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(e12,e10) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f65,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) )
| ~ 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 )
& e12 = op1(e12,e13) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f69,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(e13,e12) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f71,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) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f73,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) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f74,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) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f10,axiom,
( ( ( ( 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,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,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,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) ) )
& ( ( ( 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,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(e13,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 )
& e13 = op1(e13,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) )
& e13 = op1(e13,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 )
& e12 = 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,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(e12,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) )
& e12 = op1(e12,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 )
& e11 = op1(e11,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 )
& e11 = 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,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(e11,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 )
& e10 = op1(e10,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 )
& e10 = op1(e10,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 )
& e10 = 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/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f2337,plain,
( spl52_273
| spl52_6
| spl52_2
| spl52_4
| ~ spl52_166
| ~ spl52_260 ),
inference(avatar_split_clause,[],[f2306,f2180,f1668,f880,f870,f890,f2258]) ).
fof(f2306,plain,
( e21 = e22
| e20 = e22
| e22 = e23
| e22 = op2(e22,e21)
| ~ spl52_166
| ~ spl52_260 ),
inference(forward_demodulation,[],[f2305,f2182]) ).
fof(f2305,plain,
( e20 = e22
| e22 = e23
| e22 = op2(e22,e21)
| e22 = op2(e22,e20)
| ~ spl52_166 ),
inference(forward_demodulation,[],[f732,f1670]) ).
fof(f732,plain,
( e22 = e23
| e22 = op2(e22,e23)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(forward_demodulation,[],[f358,f334]) ).
fof(f358,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2333,plain,
( spl52_281
| ~ spl52_267
| ~ spl52_279 ),
inference(avatar_split_clause,[],[f2327,f2318,f2223,f2330]) ).
fof(f2327,plain,
( op2(e21,e21) = h2(e11)
| ~ spl52_267
| ~ spl52_279 ),
inference(forward_demodulation,[],[f2225,f2320]) ).
fof(f2326,plain,
( spl52_280
| ~ spl52_267
| ~ spl52_268 ),
inference(avatar_split_clause,[],[f2281,f2231,f2223,f2323]) ).
fof(f2281,plain,
( e21 = op2(e21,op2(e21,h2(e13)))
| ~ spl52_267
| ~ spl52_268 ),
inference(forward_demodulation,[],[f2225,f2233]) ).
fof(f2321,plain,
( spl52_279
| ~ spl52_58
| ~ spl52_256 ),
inference(avatar_split_clause,[],[f2282,f2143,f1136,f2318]) ).
fof(f2312,plain,
( ~ spl52_81
| spl52_278 ),
inference(avatar_split_clause,[],[f524,f2309,f1244]) ).
fof(f1244,plain,
( spl52_81
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_81])]) ).
fof(f524,plain,
( e20 = op2(e20,e21)
| ~ sP13 ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,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(e20,e21) )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,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(e20,e21) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f2304,plain,
( spl52_6
| ~ spl52_74
| ~ spl52_88 ),
inference(avatar_split_clause,[],[f2303,f1281,f1210,f890]) ).
fof(f1210,plain,
( spl52_74
<=> e22 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_74])]) ).
fof(f2303,plain,
( e22 = e23
| ~ spl52_74
| ~ spl52_88 ),
inference(forward_demodulation,[],[f1211,f1283]) ).
fof(f1211,plain,
( e22 = h3(e13)
| ~ spl52_74 ),
inference(avatar_component_clause,[],[f1210]) ).
fof(f2301,plain,
( ~ spl52_82
| ~ spl52_77 ),
inference(avatar_split_clause,[],[f838,f1224,f1249]) ).
fof(f1249,plain,
( spl52_82
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_82])]) ).
fof(f838,plain,
( e20 != h1(e13)
| ~ sP12 ),
inference(forward_demodulation,[],[f654,f227]) ).
fof(f654,plain,
( e20 != op2(e20,e20)
| ~ sP12 ),
inference(duplicate_literal_removal,[],[f530]) ).
fof(f530,plain,
( e20 != op2(e20,e20)
| e20 != op2(e20,e20)
| ~ sP12 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,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(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(f2298,plain,
( ~ spl52_76
| spl52_277 ),
inference(avatar_split_clause,[],[f469,f2295,f1220]) ).
fof(f1220,plain,
( spl52_76
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_76])]) ).
fof(f469,plain,
( e23 = op2(e23,e20)
| ~ sP24 ),
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) )
& e23 = op2(e23,e20) )
| ~ sP24 ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,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(e23,e20) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f2293,plain,
( ~ spl52_36
| spl52_2
| ~ spl52_88
| ~ spl52_166 ),
inference(avatar_split_clause,[],[f2292,f1668,f1281,f870,f1037]) ).
fof(f1037,plain,
( spl52_36
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_36])]) ).
fof(f2292,plain,
( e20 = e22
| ~ sP31
| ~ spl52_88
| ~ spl52_166 ),
inference(forward_demodulation,[],[f2291,f1670]) ).
fof(f2291,plain,
( e22 = op2(e22,e23)
| ~ sP31
| ~ spl52_88 ),
inference(trivial_inequality_removal,[],[f2290]) ).
fof(f2290,plain,
( e23 != e23
| e22 = op2(e22,e23)
| ~ sP31
| ~ spl52_88 ),
inference(forward_demodulation,[],[f756,f1283]) ).
fof(f756,plain,
( e23 != h3(e13)
| e22 = op2(e22,e23)
| ~ sP31 ),
inference(forward_demodulation,[],[f437,f235]) ).
fof(f437,plain,
( e22 = op2(e22,e23)
| e23 != op2(e22,e22)
| ~ sP31 ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,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) )
| ~ sP31 ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,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) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f2288,plain,
( ~ spl52_33
| spl52_77 ),
inference(avatar_split_clause,[],[f771,f1224,f1025]) ).
fof(f771,plain,
( e20 = h1(e13)
| ~ sP28 ),
inference(forward_demodulation,[],[f449,f227]) ).
fof(f449,plain,
( e20 = op2(e20,e20)
| ~ sP28 ),
inference(cnf_transformation,[],[f91]) ).
fof(f2284,plain,
( spl52_70
| ~ spl52_85
| ~ spl52_86 ),
inference(avatar_split_clause,[],[f2283,f1270,f1264,f1192]) ).
fof(f2279,plain,
( ~ spl52_73
| spl52_150 ),
inference(avatar_split_clause,[],[f459,f1582,f1206]) ).
fof(f1206,plain,
( spl52_73
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_73])]) ).
fof(f1582,plain,
( spl52_150
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_150])]) ).
fof(f459,plain,
( e23 = op2(e23,e22)
| ~ sP26 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,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(e23,e22) )
| ~ sP26 ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,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(e23,e22) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f2278,plain,
( ~ spl52_276
| spl52_229
| ~ spl52_260 ),
inference(avatar_split_clause,[],[f2194,f2180,f2004,f2275]) ).
fof(f2004,plain,
( spl52_229
<=> op2(e22,e20) = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_229])]) ).
fof(f2194,plain,
( e21 != op2(e23,e20)
| spl52_229
| ~ spl52_260 ),
inference(superposition,[],[f2006,f2182]) ).
fof(f2006,plain,
( op2(e22,e20) != op2(e23,e20)
| spl52_229 ),
inference(avatar_component_clause,[],[f2004]) ).
fof(f2273,plain,
( ~ spl52_71
| spl52_72 ),
inference(avatar_split_clause,[],[f776,f1201,f1197]) ).
fof(f1197,plain,
( spl52_71
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_71])]) ).
fof(f776,plain,
( e23 = h4(e13)
| ~ sP27 ),
inference(forward_demodulation,[],[f454,f223]) ).
fof(f454,plain,
( e23 = op2(e23,e23)
| ~ sP27 ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,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(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(f2272,plain,
( spl52_82
| spl52_81
| spl52_101
| spl52_99
| spl52_97
| spl52_80
| spl52_95
| spl52_93
| spl52_91
| spl52_79
| spl52_78
| spl52_89
| spl52_76
| spl52_75
| spl52_73
| spl52_71 ),
inference(avatar_split_clause,[],[f534,f1197,f1206,f1215,f1220,f1287,f1229,f1234,f1296,f1305,f1314,f1239,f1323,f1332,f1341,f1244,f1249]) ).
fof(f1332,plain,
( spl52_99
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_99])]) ).
fof(f1323,plain,
( spl52_97
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_97])]) ).
fof(f1314,plain,
( spl52_95
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_95])]) ).
fof(f1305,plain,
( spl52_93
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_93])]) ).
fof(f1296,plain,
( spl52_91
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_91])]) ).
fof(f1229,plain,
( spl52_78
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_78])]) ).
fof(f1287,plain,
( spl52_89
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_89])]) ).
fof(f534,plain,
( sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( sP31
| sP30
| sP29
| sP28 )
& ( sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 ) ),
inference(definition_folding,[],[f11,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34]) ).
fof(f37,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(e20,e23) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f38,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(e21,e20) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f40,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(e21,e22) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f41,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(e21,e23) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f42,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(e22,e20) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
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,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(e22,e23) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f51,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) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f11,axiom,
( ( ( ( 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,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,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,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) ) )
& ( ( ( 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,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(e23,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 )
& e23 = op2(e23,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) )
& e23 = op2(e23,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 )
& e22 = 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,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(e22,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) )
& e22 = op2(e22,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 )
& e21 = op2(e21,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 )
& e21 = 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,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(e21,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 )
& e20 = op2(e20,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 )
& e20 = op2(e20,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 )
& e20 = 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/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f2271,plain,
( ~ spl52_37
| ~ spl52_275
| spl52_123 ),
inference(avatar_split_clause,[],[f553,f1443,f2268,f1042]) ).
fof(f1042,plain,
( spl52_37
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_37])]) ).
fof(f553,plain,
( e11 = op1(e11,e10)
| e10 != op1(e11,e11)
| ~ sP48 ),
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) )
| ~ sP48 ),
inference(nnf_transformation,[],[f71]) ).
fof(f2265,plain,
( ~ spl52_34
| spl52_273
| ~ spl52_274 ),
inference(avatar_split_clause,[],[f765,f2262,f2258,f1029]) ).
fof(f1029,plain,
( spl52_34
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_34])]) ).
fof(f765,plain,
( e21 != h3(e13)
| e22 = op2(e22,e21)
| ~ sP29 ),
inference(forward_demodulation,[],[f447,f235]) ).
fof(f447,plain,
( e22 = op2(e22,e21)
| e21 != op2(e22,e22)
| ~ sP29 ),
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) )
| ~ sP29 ),
inference(nnf_transformation,[],[f51]) ).
fof(f2256,plain,
( ~ spl52_34
| spl52_271
| ~ spl52_272 ),
inference(avatar_split_clause,[],[f764,f2253,f2249,f1029]) ).
fof(f764,plain,
( e21 != h4(e13)
| e23 = op2(e23,e21)
| ~ sP29 ),
inference(forward_demodulation,[],[f448,f223]) ).
fof(f448,plain,
( e23 = op2(e23,e21)
| e21 != op2(e23,e23)
| ~ sP29 ),
inference(cnf_transformation,[],[f90]) ).
fof(f2247,plain,
( spl52_270
| ~ spl52_88
| ~ spl52_166
| ~ spl52_260
| ~ spl52_269 ),
inference(avatar_split_clause,[],[f2242,f2236,f2180,f1668,f1281,f2244]) ).
fof(f2236,plain,
( spl52_269
<=> h3(e11) = op2(e22,op2(e22,h3(e13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_269])]) ).
fof(f2242,plain,
( e21 = h3(e11)
| ~ spl52_88
| ~ spl52_166
| ~ spl52_260
| ~ spl52_269 ),
inference(forward_demodulation,[],[f2241,f2182]) ).
fof(f2241,plain,
( op2(e22,e20) = h3(e11)
| ~ spl52_88
| ~ spl52_166
| ~ spl52_269 ),
inference(forward_demodulation,[],[f2240,f1670]) ).
fof(f2240,plain,
( h3(e11) = op2(e22,op2(e22,e23))
| ~ spl52_88
| ~ spl52_269 ),
inference(forward_demodulation,[],[f2238,f1283]) ).
fof(f2238,plain,
( h3(e11) = op2(e22,op2(e22,h3(e13)))
| ~ spl52_269 ),
inference(avatar_component_clause,[],[f2236]) ).
fof(f2239,plain,
spl52_269,
inference(avatar_split_clause,[],[f692,f2236]) ).
fof(f692,plain,
h3(e11) = op2(e22,op2(e22,h3(e13))),
inference(forward_demodulation,[],[f234,f235]) ).
fof(f234,plain,
op2(e22,op2(e22,op2(e22,e22))) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f2234,plain,
( spl52_268
| ~ spl52_70
| ~ spl52_86
| ~ spl52_267 ),
inference(avatar_split_clause,[],[f2229,f2223,f1270,f1192,f2231]) ).
fof(f2229,plain,
( e21 = h2(e11)
| ~ spl52_70
| ~ spl52_86
| ~ spl52_267 ),
inference(forward_demodulation,[],[f2228,f1272]) ).
fof(f2228,plain,
( op2(e21,e21) = h2(e11)
| ~ spl52_70
| ~ spl52_86
| ~ spl52_267 ),
inference(forward_demodulation,[],[f2227,f1272]) ).
fof(f2227,plain,
( op2(e21,op2(e21,e21)) = h2(e11)
| ~ spl52_70
| ~ spl52_267 ),
inference(forward_demodulation,[],[f2225,f1194]) ).
fof(f2226,plain,
spl52_267,
inference(avatar_split_clause,[],[f690,f2223]) ).
fof(f690,plain,
h2(e11) = op2(e21,op2(e21,h2(e13))),
inference(forward_demodulation,[],[f230,f231]) ).
fof(f230,plain,
h2(e11) = op2(e21,op2(e21,op2(e21,e21))),
inference(cnf_transformation,[],[f15]) ).
fof(f2221,plain,
( spl52_266
| ~ spl52_255
| ~ spl52_265 ),
inference(avatar_split_clause,[],[f2216,f2212,f2138,f2218]) ).
fof(f2212,plain,
( spl52_265
<=> h1(e11) = op2(e20,op2(e20,h1(e13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_265])]) ).
fof(f2216,plain,
( h1(e11) = op2(e20,h1(e10))
| ~ spl52_255
| ~ spl52_265 ),
inference(forward_demodulation,[],[f2214,f2140]) ).
fof(f2214,plain,
( h1(e11) = op2(e20,op2(e20,h1(e13)))
| ~ spl52_265 ),
inference(avatar_component_clause,[],[f2212]) ).
fof(f2215,plain,
spl52_265,
inference(avatar_split_clause,[],[f688,f2212]) ).
fof(f688,plain,
h1(e11) = op2(e20,op2(e20,h1(e13))),
inference(forward_demodulation,[],[f226,f227]) ).
fof(f226,plain,
h1(e11) = op2(e20,op2(e20,op2(e20,e20))),
inference(cnf_transformation,[],[f14]) ).
fof(f2210,plain,
( spl52_264
| ~ spl52_254
| ~ spl52_263 ),
inference(avatar_split_clause,[],[f2205,f2201,f2133,f2207]) ).
fof(f2201,plain,
( spl52_263
<=> h4(e11) = op2(e23,op2(e23,h4(e13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_263])]) ).
fof(f2205,plain,
( h4(e11) = op2(e23,h4(e10))
| ~ spl52_254
| ~ spl52_263 ),
inference(forward_demodulation,[],[f2203,f2135]) ).
fof(f2203,plain,
( h4(e11) = op2(e23,op2(e23,h4(e13)))
| ~ spl52_263 ),
inference(avatar_component_clause,[],[f2201]) ).
fof(f2204,plain,
spl52_263,
inference(avatar_split_clause,[],[f686,f2201]) ).
fof(f686,plain,
h4(e11) = op2(e23,op2(e23,h4(e13))),
inference(forward_demodulation,[],[f222,f223]) ).
fof(f222,plain,
h4(e11) = op2(e23,op2(e23,op2(e23,e23))),
inference(cnf_transformation,[],[f17]) ).
fof(f2199,plain,
( ~ spl52_262
| spl52_162
| ~ spl52_260 ),
inference(avatar_split_clause,[],[f2190,f2180,f1647,f2196]) ).
fof(f2196,plain,
( spl52_262
<=> e21 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_262])]) ).
fof(f1647,plain,
( spl52_162
<=> op2(e22,e20) = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_162])]) ).
fof(f2190,plain,
( e21 != h1(e13)
| spl52_162
| ~ spl52_260 ),
inference(superposition,[],[f1649,f2182]) ).
fof(f1649,plain,
( op2(e22,e20) != h1(e13)
| spl52_162 ),
inference(avatar_component_clause,[],[f1647]) ).
fof(f2188,plain,
( ~ spl52_261
| spl52_176
| ~ spl52_259 ),
inference(avatar_split_clause,[],[f2178,f2170,f1724,f2185]) ).
fof(f1724,plain,
( spl52_176
<=> op1(e12,e10) = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_176])]) ).
fof(f2178,plain,
( e11 != op1(e13,e10)
| spl52_176
| ~ spl52_259 ),
inference(superposition,[],[f1726,f2172]) ).
fof(f1726,plain,
( op1(e12,e10) != op1(e13,e10)
| spl52_176 ),
inference(avatar_component_clause,[],[f1724]) ).
fof(f2183,plain,
( spl52_260
| ~ spl52_54
| ~ spl52_164 ),
inference(avatar_split_clause,[],[f2160,f1657,f1118,f2180]) ).
fof(f1657,plain,
( spl52_164
<=> e21 = op2(e22,h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_164])]) ).
fof(f2160,plain,
( e21 = op2(e22,e20)
| ~ spl52_54
| ~ spl52_164 ),
inference(superposition,[],[f1659,f1119]) ).
fof(f1659,plain,
( e21 = op2(e22,h3(e10))
| ~ spl52_164 ),
inference(avatar_component_clause,[],[f1657]) ).
fof(f2173,plain,
( spl52_259
| ~ spl52_69
| ~ spl52_258 ),
inference(avatar_split_clause,[],[f2168,f2164,f1187,f2170]) ).
fof(f2164,plain,
( spl52_258
<=> e11 = op1(e12,op1(e12,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_258])]) ).
fof(f2168,plain,
( e11 = op1(e12,e10)
| ~ spl52_69
| ~ spl52_258 ),
inference(forward_demodulation,[],[f2166,f1189]) ).
fof(f2166,plain,
( e11 = op1(e12,op1(e12,e13))
| ~ spl52_258 ),
inference(avatar_component_clause,[],[f2164]) ).
fof(f2167,plain,
spl52_258,
inference(avatar_split_clause,[],[f721,f2164]) ).
fof(f721,plain,
e11 = op1(e12,op1(e12,e13)),
inference(forward_demodulation,[],[f336,f337]) ).
fof(f336,plain,
e11 = op1(e12,op1(e12,op1(e12,e12))),
inference(cnf_transformation,[],[f12]) ).
fof(f2159,plain,
( spl52_54
| ~ spl52_88
| ~ spl52_166
| ~ spl52_257 ),
inference(avatar_split_clause,[],[f2158,f2153,f1668,f1281,f1118]) ).
fof(f2153,plain,
( spl52_257
<=> h3(e10) = op2(e22,h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_257])]) ).
fof(f2158,plain,
( e20 = h3(e10)
| ~ spl52_88
| ~ spl52_166
| ~ spl52_257 ),
inference(forward_demodulation,[],[f2157,f1670]) ).
fof(f2157,plain,
( op2(e22,e23) = h3(e10)
| ~ spl52_88
| ~ spl52_257 ),
inference(forward_demodulation,[],[f2155,f1283]) ).
fof(f2155,plain,
( h3(e10) = op2(e22,h3(e13))
| ~ spl52_257 ),
inference(avatar_component_clause,[],[f2153]) ).
fof(f2156,plain,
spl52_257,
inference(avatar_split_clause,[],[f693,f2153]) ).
fof(f693,plain,
h3(e10) = op2(e22,h3(e13)),
inference(forward_demodulation,[],[f233,f235]) ).
fof(f233,plain,
op2(e22,op2(e22,e22)) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f2149,plain,
( spl52_58
| ~ spl52_70
| ~ spl52_86
| ~ spl52_256 ),
inference(avatar_split_clause,[],[f2148,f2143,f1270,f1192,f1136]) ).
fof(f2146,plain,
spl52_256,
inference(avatar_split_clause,[],[f691,f2143]) ).
fof(f691,plain,
h2(e10) = op2(e21,h2(e13)),
inference(forward_demodulation,[],[f229,f231]) ).
fof(f229,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[],[f15]) ).
fof(f2141,plain,
spl52_255,
inference(avatar_split_clause,[],[f689,f2138]) ).
fof(f689,plain,
h1(e10) = op2(e20,h1(e13)),
inference(forward_demodulation,[],[f225,f227]) ).
fof(f225,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[],[f14]) ).
fof(f2136,plain,
spl52_254,
inference(avatar_split_clause,[],[f687,f2133]) ).
fof(f687,plain,
h4(e10) = op2(e23,h4(e13)),
inference(forward_demodulation,[],[f221,f223]) ).
fof(f221,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f17]) ).
fof(f2131,plain,
~ spl52_253,
inference(avatar_split_clause,[],[f329,f2128]) ).
fof(f2128,plain,
( spl52_253
<=> op2(e23,e21) = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_253])]) ).
fof(f329,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/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f2126,plain,
~ spl52_252,
inference(avatar_split_clause,[],[f327,f2123]) ).
fof(f2123,plain,
( spl52_252
<=> op2(e23,e20) = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_252])]) ).
fof(f327,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2121,plain,
~ spl52_251,
inference(avatar_split_clause,[],[f326,f2118]) ).
fof(f2118,plain,
( spl52_251
<=> op2(e23,e20) = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_251])]) ).
fof(f326,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2116,plain,
( ~ spl52_250
| ~ spl52_166
| spl52_249 ),
inference(avatar_split_clause,[],[f2111,f2107,f1668,f2113]) ).
fof(f2107,plain,
( spl52_249
<=> op2(e22,e21) = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_249])]) ).
fof(f2111,plain,
( e20 != op2(e22,e21)
| ~ spl52_166
| spl52_249 ),
inference(forward_demodulation,[],[f2109,f1670]) ).
fof(f2109,plain,
( op2(e22,e21) != op2(e22,e23)
| spl52_249 ),
inference(avatar_component_clause,[],[f2107]) ).
fof(f2110,plain,
~ spl52_249,
inference(avatar_split_clause,[],[f324,f2107]) ).
fof(f324,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2105,plain,
( ~ spl52_248
| ~ spl52_166
| spl52_247 ),
inference(avatar_split_clause,[],[f2100,f2096,f1668,f2102]) ).
fof(f2096,plain,
( spl52_247
<=> op2(e22,e20) = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_247])]) ).
fof(f2100,plain,
( e20 != op2(e22,e20)
| ~ spl52_166
| spl52_247 ),
inference(forward_demodulation,[],[f2098,f1670]) ).
fof(f2098,plain,
( op2(e22,e20) != op2(e22,e23)
| spl52_247 ),
inference(avatar_component_clause,[],[f2096]) ).
fof(f2099,plain,
~ spl52_247,
inference(avatar_split_clause,[],[f322,f2096]) ).
fof(f322,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2094,plain,
~ spl52_246,
inference(avatar_split_clause,[],[f320,f2091]) ).
fof(f2091,plain,
( spl52_246
<=> op2(e22,e20) = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_246])]) ).
fof(f320,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2089,plain,
~ spl52_245,
inference(avatar_split_clause,[],[f319,f2086]) ).
fof(f2086,plain,
( spl52_245
<=> op2(e21,e22) = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_245])]) ).
fof(f319,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2084,plain,
~ spl52_244,
inference(avatar_split_clause,[],[f316,f2081]) ).
fof(f2081,plain,
( spl52_244
<=> op2(e21,e20) = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_244])]) ).
fof(f316,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2079,plain,
~ spl52_243,
inference(avatar_split_clause,[],[f315,f2076]) ).
fof(f2076,plain,
( spl52_243
<=> op2(e21,e20) = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_243])]) ).
fof(f315,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2074,plain,
~ spl52_242,
inference(avatar_split_clause,[],[f313,f2071]) ).
fof(f2071,plain,
( spl52_242
<=> op2(e20,e22) = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_242])]) ).
fof(f313,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2069,plain,
~ spl52_241,
inference(avatar_split_clause,[],[f312,f2066]) ).
fof(f2066,plain,
( spl52_241
<=> op2(e20,e21) = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_241])]) ).
fof(f312,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2064,plain,
~ spl52_240,
inference(avatar_split_clause,[],[f311,f2061]) ).
fof(f2061,plain,
( spl52_240
<=> op2(e20,e21) = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_240])]) ).
fof(f311,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2059,plain,
( ~ spl52_239
| ~ spl52_166
| spl52_238 ),
inference(avatar_split_clause,[],[f2054,f2050,f1668,f2056]) ).
fof(f2056,plain,
( spl52_239
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_239])]) ).
fof(f2050,plain,
( spl52_238
<=> op2(e21,e23) = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_238])]) ).
fof(f2054,plain,
( e20 != op2(e21,e23)
| ~ spl52_166
| spl52_238 ),
inference(forward_demodulation,[],[f2052,f1670]) ).
fof(f2052,plain,
( op2(e21,e23) != op2(e22,e23)
| spl52_238 ),
inference(avatar_component_clause,[],[f2050]) ).
fof(f2053,plain,
~ spl52_238,
inference(avatar_split_clause,[],[f305,f2050]) ).
fof(f305,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2047,plain,
~ spl52_237,
inference(avatar_split_clause,[],[f303,f2044]) ).
fof(f303,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2042,plain,
~ spl52_236,
inference(avatar_split_clause,[],[f302,f2039]) ).
fof(f2039,plain,
( spl52_236
<=> op2(e20,e23) = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_236])]) ).
fof(f302,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2037,plain,
~ spl52_235,
inference(avatar_split_clause,[],[f300,f2034]) ).
fof(f2034,plain,
( spl52_235
<=> op2(e21,e22) = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_235])]) ).
fof(f300,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2032,plain,
~ spl52_234,
inference(avatar_split_clause,[],[f298,f2029]) ).
fof(f2029,plain,
( spl52_234
<=> op2(e20,e22) = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_234])]) ).
fof(f298,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2027,plain,
~ spl52_233,
inference(avatar_split_clause,[],[f296,f2024]) ).
fof(f2024,plain,
( spl52_233
<=> op2(e20,e22) = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_233])]) ).
fof(f296,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2022,plain,
~ spl52_232,
inference(avatar_split_clause,[],[f295,f2019]) ).
fof(f2019,plain,
( spl52_232
<=> op2(e22,e21) = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_232])]) ).
fof(f295,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2017,plain,
~ spl52_231,
inference(avatar_split_clause,[],[f292,f2014]) ).
fof(f2014,plain,
( spl52_231
<=> op2(e20,e21) = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_231])]) ).
fof(f292,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2012,plain,
~ spl52_230,
inference(avatar_split_clause,[],[f291,f2009]) ).
fof(f291,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2007,plain,
~ spl52_229,
inference(avatar_split_clause,[],[f289,f2004]) ).
fof(f289,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2002,plain,
~ spl52_228,
inference(avatar_split_clause,[],[f288,f1999]) ).
fof(f1999,plain,
( spl52_228
<=> op2(e21,e20) = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_228])]) ).
fof(f288,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f1997,plain,
~ spl52_227,
inference(avatar_split_clause,[],[f287,f1994]) ).
fof(f1994,plain,
( spl52_227
<=> op2(e21,e20) = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_227])]) ).
fof(f287,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f1992,plain,
~ spl52_226,
inference(avatar_split_clause,[],[f283,f1989]) ).
fof(f1989,plain,
( spl52_226
<=> op1(e13,e12) = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_226])]) ).
fof(f283,plain,
op1(e13,e12) != op1(e13,e13),
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/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f1987,plain,
~ spl52_225,
inference(avatar_split_clause,[],[f282,f1984]) ).
fof(f1984,plain,
( spl52_225
<=> op1(e13,e11) = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_225])]) ).
fof(f282,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1982,plain,
~ spl52_224,
inference(avatar_split_clause,[],[f281,f1979]) ).
fof(f1979,plain,
( spl52_224
<=> op1(e13,e11) = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_224])]) ).
fof(f281,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1977,plain,
~ spl52_223,
inference(avatar_split_clause,[],[f280,f1974]) ).
fof(f1974,plain,
( spl52_223
<=> op1(e13,e10) = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_223])]) ).
fof(f280,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1972,plain,
~ spl52_222,
inference(avatar_split_clause,[],[f279,f1969]) ).
fof(f1969,plain,
( spl52_222
<=> op1(e13,e10) = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_222])]) ).
fof(f279,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1967,plain,
~ spl52_221,
inference(avatar_split_clause,[],[f278,f1964]) ).
fof(f1964,plain,
( spl52_221
<=> op1(e13,e10) = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_221])]) ).
fof(f278,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1961,plain,
( ~ spl52_220
| ~ spl52_69
| spl52_219 ),
inference(avatar_split_clause,[],[f1956,f1952,f1187,f1958]) ).
fof(f1952,plain,
( spl52_219
<=> op1(e12,e12) = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_219])]) ).
fof(f1956,plain,
( e10 != op1(e12,e12)
| ~ spl52_69
| spl52_219 ),
inference(forward_demodulation,[],[f1954,f1189]) ).
fof(f1954,plain,
( op1(e12,e12) != op1(e12,e13)
| spl52_219 ),
inference(avatar_component_clause,[],[f1952]) ).
fof(f1955,plain,
~ spl52_219,
inference(avatar_split_clause,[],[f277,f1952]) ).
fof(f277,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1950,plain,
( ~ spl52_218
| ~ spl52_69
| spl52_217 ),
inference(avatar_split_clause,[],[f1945,f1941,f1187,f1947]) ).
fof(f1941,plain,
( spl52_217
<=> op1(e12,e11) = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_217])]) ).
fof(f1945,plain,
( e10 != op1(e12,e11)
| ~ spl52_69
| spl52_217 ),
inference(forward_demodulation,[],[f1943,f1189]) ).
fof(f1943,plain,
( op1(e12,e11) != op1(e12,e13)
| spl52_217 ),
inference(avatar_component_clause,[],[f1941]) ).
fof(f1944,plain,
~ spl52_217,
inference(avatar_split_clause,[],[f276,f1941]) ).
fof(f276,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1939,plain,
( ~ spl52_216
| ~ spl52_68
| spl52_215 ),
inference(avatar_split_clause,[],[f1934,f1930,f1182,f1936]) ).
fof(f1930,plain,
( spl52_215
<=> op1(e12,e11) = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_215])]) ).
fof(f1934,plain,
( e13 != op1(e12,e11)
| ~ spl52_68
| spl52_215 ),
inference(forward_demodulation,[],[f1932,f1184]) ).
fof(f1932,plain,
( op1(e12,e11) != op1(e12,e12)
| spl52_215 ),
inference(avatar_component_clause,[],[f1930]) ).
fof(f1933,plain,
~ spl52_215,
inference(avatar_split_clause,[],[f275,f1930]) ).
fof(f275,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1927,plain,
~ spl52_214,
inference(avatar_split_clause,[],[f274,f1924]) ).
fof(f274,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1922,plain,
( ~ spl52_213
| ~ spl52_68
| spl52_212 ),
inference(avatar_split_clause,[],[f1917,f1913,f1182,f1919]) ).
fof(f1919,plain,
( spl52_213
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_213])]) ).
fof(f1913,plain,
( spl52_212
<=> op1(e12,e10) = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_212])]) ).
fof(f1917,plain,
( e13 != op1(e12,e10)
| ~ spl52_68
| spl52_212 ),
inference(forward_demodulation,[],[f1915,f1184]) ).
fof(f1915,plain,
( op1(e12,e10) != op1(e12,e12)
| spl52_212 ),
inference(avatar_component_clause,[],[f1913]) ).
fof(f1916,plain,
~ spl52_212,
inference(avatar_split_clause,[],[f273,f1913]) ).
fof(f273,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1911,plain,
~ spl52_211,
inference(avatar_split_clause,[],[f272,f1908]) ).
fof(f1908,plain,
( spl52_211
<=> op1(e12,e10) = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_211])]) ).
fof(f272,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1906,plain,
~ spl52_210,
inference(avatar_split_clause,[],[f271,f1903]) ).
fof(f1903,plain,
( spl52_210
<=> op1(e11,e12) = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_210])]) ).
fof(f271,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1901,plain,
~ spl52_209,
inference(avatar_split_clause,[],[f270,f1898]) ).
fof(f1898,plain,
( spl52_209
<=> op1(e11,e11) = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_209])]) ).
fof(f270,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1896,plain,
~ spl52_208,
inference(avatar_split_clause,[],[f269,f1893]) ).
fof(f1893,plain,
( spl52_208
<=> op1(e11,e11) = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_208])]) ).
fof(f269,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1891,plain,
~ spl52_207,
inference(avatar_split_clause,[],[f268,f1888]) ).
fof(f1888,plain,
( spl52_207
<=> op1(e11,e10) = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_207])]) ).
fof(f268,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1886,plain,
~ spl52_206,
inference(avatar_split_clause,[],[f267,f1883]) ).
fof(f1883,plain,
( spl52_206
<=> op1(e11,e10) = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_206])]) ).
fof(f267,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1881,plain,
~ spl52_205,
inference(avatar_split_clause,[],[f266,f1878]) ).
fof(f1878,plain,
( spl52_205
<=> op1(e11,e10) = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_205])]) ).
fof(f266,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1876,plain,
~ spl52_204,
inference(avatar_split_clause,[],[f265,f1873]) ).
fof(f1873,plain,
( spl52_204
<=> op1(e10,e12) = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_204])]) ).
fof(f265,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1871,plain,
~ spl52_203,
inference(avatar_split_clause,[],[f264,f1868]) ).
fof(f1868,plain,
( spl52_203
<=> op1(e10,e11) = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_203])]) ).
fof(f264,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1866,plain,
~ spl52_202,
inference(avatar_split_clause,[],[f263,f1863]) ).
fof(f1863,plain,
( spl52_202
<=> op1(e10,e11) = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_202])]) ).
fof(f263,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1860,plain,
~ spl52_201,
inference(avatar_split_clause,[],[f262,f1857]) ).
fof(f1857,plain,
( spl52_201
<=> op1(e10,e10) = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_201])]) ).
fof(f262,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1854,plain,
~ spl52_200,
inference(avatar_split_clause,[],[f261,f1851]) ).
fof(f261,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1848,plain,
~ spl52_199,
inference(avatar_split_clause,[],[f260,f1845]) ).
fof(f260,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1843,plain,
( ~ spl52_198
| ~ spl52_69
| spl52_197 ),
inference(avatar_split_clause,[],[f1838,f1834,f1187,f1840]) ).
fof(f1834,plain,
( spl52_197
<=> op1(e12,e13) = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_197])]) ).
fof(f1838,plain,
( e10 != op1(e13,e13)
| ~ spl52_69
| spl52_197 ),
inference(forward_demodulation,[],[f1836,f1189]) ).
fof(f1836,plain,
( op1(e12,e13) != op1(e13,e13)
| spl52_197 ),
inference(avatar_component_clause,[],[f1834]) ).
fof(f1837,plain,
~ spl52_197,
inference(avatar_split_clause,[],[f259,f1834]) ).
fof(f259,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1832,plain,
~ spl52_196,
inference(avatar_split_clause,[],[f258,f1829]) ).
fof(f1829,plain,
( spl52_196
<=> op1(e11,e13) = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_196])]) ).
fof(f258,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1827,plain,
( ~ spl52_195
| ~ spl52_69
| spl52_194 ),
inference(avatar_split_clause,[],[f1822,f1818,f1187,f1824]) ).
fof(f1818,plain,
( spl52_194
<=> op1(e11,e13) = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_194])]) ).
fof(f1822,plain,
( e10 != op1(e11,e13)
| ~ spl52_69
| spl52_194 ),
inference(forward_demodulation,[],[f1820,f1189]) ).
fof(f1820,plain,
( op1(e11,e13) != op1(e12,e13)
| spl52_194 ),
inference(avatar_component_clause,[],[f1818]) ).
fof(f1821,plain,
~ spl52_194,
inference(avatar_split_clause,[],[f257,f1818]) ).
fof(f257,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1816,plain,
~ spl52_193,
inference(avatar_split_clause,[],[f256,f1813]) ).
fof(f1813,plain,
( spl52_193
<=> op1(e10,e13) = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_193])]) ).
fof(f256,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1810,plain,
~ spl52_192,
inference(avatar_split_clause,[],[f255,f1807]) ).
fof(f255,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1805,plain,
~ spl52_191,
inference(avatar_split_clause,[],[f254,f1802]) ).
fof(f1802,plain,
( spl52_191
<=> op1(e10,e13) = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_191])]) ).
fof(f254,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1799,plain,
~ spl52_190,
inference(avatar_split_clause,[],[f253,f1796]) ).
fof(f253,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1794,plain,
~ spl52_189,
inference(avatar_split_clause,[],[f252,f1791]) ).
fof(f1791,plain,
( spl52_189
<=> op1(e11,e12) = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_189])]) ).
fof(f252,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1789,plain,
( ~ spl52_188
| ~ spl52_68
| spl52_187 ),
inference(avatar_split_clause,[],[f1784,f1780,f1182,f1786]) ).
fof(f1780,plain,
( spl52_187
<=> op1(e11,e12) = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_187])]) ).
fof(f1784,plain,
( e13 != op1(e11,e12)
| ~ spl52_68
| spl52_187 ),
inference(forward_demodulation,[],[f1782,f1184]) ).
fof(f1782,plain,
( op1(e11,e12) != op1(e12,e12)
| spl52_187 ),
inference(avatar_component_clause,[],[f1780]) ).
fof(f1783,plain,
~ spl52_187,
inference(avatar_split_clause,[],[f251,f1780]) ).
fof(f251,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1778,plain,
~ spl52_186,
inference(avatar_split_clause,[],[f250,f1775]) ).
fof(f1775,plain,
( spl52_186
<=> op1(e10,e12) = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_186])]) ).
fof(f250,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1773,plain,
( ~ spl52_185
| ~ spl52_68
| spl52_184 ),
inference(avatar_split_clause,[],[f1768,f1764,f1182,f1770]) ).
fof(f1764,plain,
( spl52_184
<=> op1(e10,e12) = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_184])]) ).
fof(f1768,plain,
( e13 != op1(e10,e12)
| ~ spl52_68
| spl52_184 ),
inference(forward_demodulation,[],[f1766,f1184]) ).
fof(f1766,plain,
( op1(e10,e12) != op1(e12,e12)
| spl52_184 ),
inference(avatar_component_clause,[],[f1764]) ).
fof(f1767,plain,
~ spl52_184,
inference(avatar_split_clause,[],[f249,f1764]) ).
fof(f249,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1762,plain,
~ spl52_183,
inference(avatar_split_clause,[],[f248,f1759]) ).
fof(f1759,plain,
( spl52_183
<=> op1(e10,e12) = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_183])]) ).
fof(f248,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1757,plain,
~ spl52_182,
inference(avatar_split_clause,[],[f247,f1754]) ).
fof(f1754,plain,
( spl52_182
<=> op1(e12,e11) = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_182])]) ).
fof(f247,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1752,plain,
~ spl52_181,
inference(avatar_split_clause,[],[f246,f1749]) ).
fof(f1749,plain,
( spl52_181
<=> op1(e11,e11) = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_181])]) ).
fof(f246,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1747,plain,
~ spl52_180,
inference(avatar_split_clause,[],[f245,f1744]) ).
fof(f1744,plain,
( spl52_180
<=> op1(e11,e11) = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_180])]) ).
fof(f245,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1742,plain,
~ spl52_179,
inference(avatar_split_clause,[],[f244,f1739]) ).
fof(f1739,plain,
( spl52_179
<=> op1(e10,e11) = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_179])]) ).
fof(f244,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1737,plain,
~ spl52_178,
inference(avatar_split_clause,[],[f243,f1734]) ).
fof(f1734,plain,
( spl52_178
<=> op1(e10,e11) = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_178])]) ).
fof(f243,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1732,plain,
~ spl52_177,
inference(avatar_split_clause,[],[f242,f1729]) ).
fof(f1729,plain,
( spl52_177
<=> op1(e10,e11) = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_177])]) ).
fof(f242,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1727,plain,
~ spl52_176,
inference(avatar_split_clause,[],[f241,f1724]) ).
fof(f241,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f1722,plain,
~ spl52_175,
inference(avatar_split_clause,[],[f240,f1719]) ).
fof(f1719,plain,
( spl52_175
<=> op1(e11,e10) = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_175])]) ).
fof(f240,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f1717,plain,
~ spl52_174,
inference(avatar_split_clause,[],[f239,f1714]) ).
fof(f239,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f1712,plain,
( ~ spl52_173
| ~ spl52_103
| spl52_172 ),
inference(avatar_split_clause,[],[f1707,f1703,f1350,f1709]) ).
fof(f1703,plain,
( spl52_172
<=> op1(e10,e10) = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_172])]) ).
fof(f1707,plain,
( e10 != op1(e13,e10)
| ~ spl52_103
| spl52_172 ),
inference(forward_demodulation,[],[f1705,f1352]) ).
fof(f1705,plain,
( op1(e10,e10) != op1(e13,e10)
| spl52_172 ),
inference(avatar_component_clause,[],[f1703]) ).
fof(f1706,plain,
~ spl52_172,
inference(avatar_split_clause,[],[f238,f1703]) ).
fof(f238,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f1701,plain,
( ~ spl52_171
| ~ spl52_103
| spl52_170 ),
inference(avatar_split_clause,[],[f1696,f1692,f1350,f1698]) ).
fof(f1696,plain,
( e10 != op1(e12,e10)
| ~ spl52_103
| spl52_170 ),
inference(forward_demodulation,[],[f1694,f1352]) ).
fof(f1695,plain,
~ spl52_170,
inference(avatar_split_clause,[],[f237,f1692]) ).
fof(f237,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f1690,plain,
( ~ spl52_169
| ~ spl52_103
| spl52_168 ),
inference(avatar_split_clause,[],[f1685,f1681,f1350,f1687]) ).
fof(f1681,plain,
( spl52_168
<=> op1(e10,e10) = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_168])]) ).
fof(f1685,plain,
( e10 != op1(e11,e10)
| ~ spl52_103
| spl52_168 ),
inference(forward_demodulation,[],[f1683,f1352]) ).
fof(f1683,plain,
( op1(e10,e10) != op1(e11,e10)
| spl52_168 ),
inference(avatar_component_clause,[],[f1681]) ).
fof(f1684,plain,
~ spl52_168,
inference(avatar_split_clause,[],[f236,f1681]) ).
fof(f236,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f1679,plain,
( ~ spl52_167
| spl52_146
| ~ spl52_166 ),
inference(avatar_split_clause,[],[f1674,f1668,f1561,f1676]) ).
fof(f1561,plain,
( spl52_146
<=> op2(e22,e23) = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_146])]) ).
fof(f1674,plain,
( e20 != h4(e13)
| spl52_146
| ~ spl52_166 ),
inference(superposition,[],[f1563,f1670]) ).
fof(f1563,plain,
( op2(e22,e23) != h4(e13)
| spl52_146 ),
inference(avatar_component_clause,[],[f1561]) ).
fof(f1671,plain,
( spl52_166
| ~ spl52_88
| ~ spl52_165 ),
inference(avatar_split_clause,[],[f1666,f1662,f1281,f1668]) ).
fof(f1662,plain,
( spl52_165
<=> e20 = op2(e22,h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_165])]) ).
fof(f1666,plain,
( e20 = op2(e22,e23)
| ~ spl52_88
| ~ spl52_165 ),
inference(forward_demodulation,[],[f1664,f1283]) ).
fof(f1664,plain,
( e20 = op2(e22,h3(e13))
| ~ spl52_165 ),
inference(avatar_component_clause,[],[f1662]) ).
fof(f1665,plain,
spl52_165,
inference(avatar_split_clause,[],[f720,f1662]) ).
fof(f720,plain,
e20 = op2(e22,h3(e13)),
inference(forward_demodulation,[],[f332,f235]) ).
fof(f332,plain,
e20 = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f1660,plain,
spl52_164,
inference(avatar_split_clause,[],[f719,f1657]) ).
fof(f719,plain,
e21 = op2(e22,h3(e10)),
inference(forward_demodulation,[],[f718,f693]) ).
fof(f718,plain,
e21 = op2(e22,op2(e22,h3(e13))),
inference(forward_demodulation,[],[f333,f235]) ).
fof(f333,plain,
e21 = op2(e22,op2(e22,op2(e22,e22))),
inference(cnf_transformation,[],[f13]) ).
fof(f1655,plain,
~ spl52_163,
inference(avatar_split_clause,[],[f717,f1652]) ).
fof(f717,plain,
op2(e21,e20) != h1(e13),
inference(forward_demodulation,[],[f284,f227]) ).
fof(f284,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f1650,plain,
~ spl52_162,
inference(avatar_split_clause,[],[f716,f1647]) ).
fof(f716,plain,
op2(e22,e20) != h1(e13),
inference(forward_demodulation,[],[f285,f227]) ).
fof(f285,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f1645,plain,
~ spl52_161,
inference(avatar_split_clause,[],[f715,f1642]) ).
fof(f1642,plain,
( spl52_161
<=> op2(e23,e20) = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_161])]) ).
fof(f715,plain,
op2(e23,e20) != h1(e13),
inference(forward_demodulation,[],[f286,f227]) ).
fof(f286,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f1640,plain,
( ~ spl52_160
| ~ spl52_70
| spl52_159 ),
inference(avatar_split_clause,[],[f1635,f1631,f1192,f1637]) ).
fof(f1634,plain,
~ spl52_159,
inference(avatar_split_clause,[],[f714,f1631]) ).
fof(f714,plain,
op2(e20,e21) != h2(e13),
inference(forward_demodulation,[],[f290,f231]) ).
fof(f290,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1629,plain,
( ~ spl52_158
| ~ spl52_70
| spl52_157 ),
inference(avatar_split_clause,[],[f1624,f1620,f1192,f1626]) ).
fof(f1624,plain,
( e21 != op2(e22,e21)
| ~ spl52_70
| spl52_157 ),
inference(forward_demodulation,[],[f1622,f1194]) ).
fof(f1623,plain,
~ spl52_157,
inference(avatar_split_clause,[],[f713,f1620]) ).
fof(f713,plain,
op2(e22,e21) != h2(e13),
inference(forward_demodulation,[],[f293,f231]) ).
fof(f293,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1618,plain,
( ~ spl52_156
| ~ spl52_70
| spl52_155 ),
inference(avatar_split_clause,[],[f1613,f1609,f1192,f1615]) ).
fof(f1613,plain,
( e21 != op2(e23,e21)
| ~ spl52_70
| spl52_155 ),
inference(forward_demodulation,[],[f1611,f1194]) ).
fof(f1612,plain,
~ spl52_155,
inference(avatar_split_clause,[],[f712,f1609]) ).
fof(f712,plain,
op2(e23,e21) != h2(e13),
inference(forward_demodulation,[],[f294,f231]) ).
fof(f294,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1607,plain,
( ~ spl52_154
| ~ spl52_88
| spl52_153 ),
inference(avatar_split_clause,[],[f1602,f1598,f1281,f1604]) ).
fof(f1598,plain,
( spl52_153
<=> op2(e20,e22) = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_153])]) ).
fof(f1602,plain,
( e23 != op2(e20,e22)
| ~ spl52_88
| spl52_153 ),
inference(forward_demodulation,[],[f1600,f1283]) ).
fof(f1600,plain,
( op2(e20,e22) != h3(e13)
| spl52_153 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f1601,plain,
~ spl52_153,
inference(avatar_split_clause,[],[f711,f1598]) ).
fof(f711,plain,
op2(e20,e22) != h3(e13),
inference(forward_demodulation,[],[f297,f235]) ).
fof(f297,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1596,plain,
( ~ spl52_152
| ~ spl52_88
| spl52_151 ),
inference(avatar_split_clause,[],[f1591,f1587,f1281,f1593]) ).
fof(f1587,plain,
( spl52_151
<=> op2(e21,e22) = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_151])]) ).
fof(f1591,plain,
( e23 != op2(e21,e22)
| ~ spl52_88
| spl52_151 ),
inference(forward_demodulation,[],[f1589,f1283]) ).
fof(f1589,plain,
( op2(e21,e22) != h3(e13)
| spl52_151 ),
inference(avatar_component_clause,[],[f1587]) ).
fof(f1590,plain,
~ spl52_151,
inference(avatar_split_clause,[],[f710,f1587]) ).
fof(f710,plain,
op2(e21,e22) != h3(e13),
inference(forward_demodulation,[],[f299,f235]) ).
fof(f299,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1585,plain,
( ~ spl52_150
| ~ spl52_88
| spl52_149 ),
inference(avatar_split_clause,[],[f1580,f1576,f1281,f1582]) ).
fof(f1576,plain,
( spl52_149
<=> op2(e23,e22) = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_149])]) ).
fof(f1580,plain,
( e23 != op2(e23,e22)
| ~ spl52_88
| spl52_149 ),
inference(forward_demodulation,[],[f1578,f1283]) ).
fof(f1578,plain,
( op2(e23,e22) != h3(e13)
| spl52_149 ),
inference(avatar_component_clause,[],[f1576]) ).
fof(f1579,plain,
~ spl52_149,
inference(avatar_split_clause,[],[f709,f1576]) ).
fof(f709,plain,
op2(e23,e22) != h3(e13),
inference(forward_demodulation,[],[f301,f235]) ).
fof(f301,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1574,plain,
~ spl52_148,
inference(avatar_split_clause,[],[f708,f1571]) ).
fof(f1571,plain,
( spl52_148
<=> op2(e20,e23) = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_148])]) ).
fof(f708,plain,
op2(e20,e23) != h4(e13),
inference(forward_demodulation,[],[f304,f223]) ).
fof(f304,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1569,plain,
~ spl52_147,
inference(avatar_split_clause,[],[f707,f1566]) ).
fof(f1566,plain,
( spl52_147
<=> op2(e21,e23) = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_147])]) ).
fof(f707,plain,
op2(e21,e23) != h4(e13),
inference(forward_demodulation,[],[f306,f223]) ).
fof(f306,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1564,plain,
~ spl52_146,
inference(avatar_split_clause,[],[f706,f1561]) ).
fof(f706,plain,
op2(e22,e23) != h4(e13),
inference(forward_demodulation,[],[f307,f223]) ).
fof(f307,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1559,plain,
~ spl52_145,
inference(avatar_split_clause,[],[f705,f1556]) ).
fof(f705,plain,
op2(e20,e21) != h1(e13),
inference(forward_demodulation,[],[f308,f227]) ).
fof(f308,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1554,plain,
~ spl52_144,
inference(avatar_split_clause,[],[f704,f1551]) ).
fof(f1551,plain,
( spl52_144
<=> op2(e20,e22) = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_144])]) ).
fof(f704,plain,
op2(e20,e22) != h1(e13),
inference(forward_demodulation,[],[f309,f227]) ).
fof(f309,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1549,plain,
~ spl52_143,
inference(avatar_split_clause,[],[f703,f1546]) ).
fof(f1546,plain,
( spl52_143
<=> op2(e20,e23) = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_143])]) ).
fof(f703,plain,
op2(e20,e23) != h1(e13),
inference(forward_demodulation,[],[f310,f227]) ).
fof(f310,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1543,plain,
~ spl52_142,
inference(avatar_split_clause,[],[f702,f1540]) ).
fof(f1540,plain,
( spl52_142
<=> op2(e21,e20) = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_142])]) ).
fof(f702,plain,
op2(e21,e20) != h2(e13),
inference(forward_demodulation,[],[f314,f231]) ).
fof(f314,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1537,plain,
~ spl52_141,
inference(avatar_split_clause,[],[f701,f1534]) ).
fof(f701,plain,
op2(e21,e22) != h2(e13),
inference(forward_demodulation,[],[f317,f231]) ).
fof(f317,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1531,plain,
~ spl52_140,
inference(avatar_split_clause,[],[f700,f1528]) ).
fof(f700,plain,
op2(e21,e23) != h2(e13),
inference(forward_demodulation,[],[f318,f231]) ).
fof(f318,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1526,plain,
( ~ spl52_139
| ~ spl52_88
| spl52_138 ),
inference(avatar_split_clause,[],[f1521,f1517,f1281,f1523]) ).
fof(f1517,plain,
( spl52_138
<=> op2(e22,e20) = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_138])]) ).
fof(f1521,plain,
( e23 != op2(e22,e20)
| ~ spl52_88
| spl52_138 ),
inference(forward_demodulation,[],[f1519,f1283]) ).
fof(f1519,plain,
( op2(e22,e20) != h3(e13)
| spl52_138 ),
inference(avatar_component_clause,[],[f1517]) ).
fof(f1520,plain,
~ spl52_138,
inference(avatar_split_clause,[],[f699,f1517]) ).
fof(f699,plain,
op2(e22,e20) != h3(e13),
inference(forward_demodulation,[],[f321,f235]) ).
fof(f321,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1515,plain,
( ~ spl52_137
| ~ spl52_88
| spl52_136 ),
inference(avatar_split_clause,[],[f1510,f1506,f1281,f1512]) ).
fof(f1506,plain,
( spl52_136
<=> op2(e22,e21) = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_136])]) ).
fof(f1510,plain,
( e23 != op2(e22,e21)
| ~ spl52_88
| spl52_136 ),
inference(forward_demodulation,[],[f1508,f1283]) ).
fof(f1508,plain,
( op2(e22,e21) != h3(e13)
| spl52_136 ),
inference(avatar_component_clause,[],[f1506]) ).
fof(f1509,plain,
~ spl52_136,
inference(avatar_split_clause,[],[f698,f1506]) ).
fof(f698,plain,
op2(e22,e21) != h3(e13),
inference(forward_demodulation,[],[f323,f235]) ).
fof(f323,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1504,plain,
( ~ spl52_135
| ~ spl52_88
| spl52_134 ),
inference(avatar_split_clause,[],[f1499,f1495,f1281,f1501]) ).
fof(f1495,plain,
( spl52_134
<=> op2(e22,e23) = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_134])]) ).
fof(f1499,plain,
( e23 != op2(e22,e23)
| ~ spl52_88
| spl52_134 ),
inference(forward_demodulation,[],[f1497,f1283]) ).
fof(f1497,plain,
( op2(e22,e23) != h3(e13)
| spl52_134 ),
inference(avatar_component_clause,[],[f1495]) ).
fof(f1498,plain,
~ spl52_134,
inference(avatar_split_clause,[],[f697,f1495]) ).
fof(f697,plain,
op2(e22,e23) != h3(e13),
inference(forward_demodulation,[],[f325,f235]) ).
fof(f325,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1493,plain,
~ spl52_133,
inference(avatar_split_clause,[],[f696,f1490]) ).
fof(f696,plain,
op2(e23,e20) != h4(e13),
inference(forward_demodulation,[],[f328,f223]) ).
fof(f328,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1488,plain,
~ spl52_132,
inference(avatar_split_clause,[],[f695,f1485]) ).
fof(f1485,plain,
( spl52_132
<=> op2(e23,e21) = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_132])]) ).
fof(f695,plain,
op2(e23,e21) != h4(e13),
inference(forward_demodulation,[],[f330,f223]) ).
fof(f330,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1483,plain,
~ spl52_131,
inference(avatar_split_clause,[],[f694,f1480]) ).
fof(f694,plain,
op2(e23,e22) != h4(e13),
inference(forward_demodulation,[],[f331,f223]) ).
fof(f331,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1478,plain,
( ~ spl52_130
| ~ spl52_103 ),
inference(avatar_split_clause,[],[f638,f1350,f1475]) ).
fof(f638,plain,
( e10 != op1(e10,e10)
| ~ sP32 ),
inference(duplicate_literal_removal,[],[f632]) ).
fof(f632,plain,
( e10 != op1(e10,e10)
| e10 != op1(e10,e10)
| ~ sP32 ),
inference(cnf_transformation,[],[f127]) ).
fof(f1473,plain,
( ~ spl52_128
| spl52_129 ),
inference(avatar_split_clause,[],[f626,f1470,f1466]) ).
fof(f626,plain,
( e10 = op1(e10,e11)
| ~ sP33 ),
inference(cnf_transformation,[],[f126]) ).
fof(f1464,plain,
( ~ spl52_126
| spl52_127 ),
inference(avatar_split_clause,[],[f621,f1461,f1457]) ).
fof(f621,plain,
( e10 = op1(e10,e12)
| ~ sP34 ),
inference(cnf_transformation,[],[f125]) ).
fof(f1455,plain,
( ~ spl52_124
| spl52_125 ),
inference(avatar_split_clause,[],[f616,f1452,f1448]) ).
fof(f616,plain,
( e10 = op1(e10,e13)
| ~ sP35 ),
inference(cnf_transformation,[],[f124]) ).
fof(f1446,plain,
( ~ spl52_122
| spl52_123 ),
inference(avatar_split_clause,[],[f611,f1443,f1439]) ).
fof(f611,plain,
( e11 = op1(e11,e10)
| ~ sP36 ),
inference(cnf_transformation,[],[f123]) ).
fof(f1437,plain,
( ~ spl52_121
| spl52_104 ),
inference(avatar_split_clause,[],[f606,f1355,f1434]) ).
fof(f606,plain,
( e11 = op1(e11,e11)
| ~ sP37 ),
inference(cnf_transformation,[],[f122]) ).
fof(f1432,plain,
( ~ spl52_119
| spl52_120 ),
inference(avatar_split_clause,[],[f601,f1429,f1425]) ).
fof(f601,plain,
( e11 = op1(e11,e12)
| ~ sP38 ),
inference(cnf_transformation,[],[f121]) ).
fof(f1423,plain,
( ~ spl52_117
| spl52_118 ),
inference(avatar_split_clause,[],[f596,f1420,f1416]) ).
fof(f596,plain,
( e11 = op1(e11,e13)
| ~ sP39 ),
inference(cnf_transformation,[],[f120]) ).
fof(f1414,plain,
( ~ spl52_115
| spl52_116 ),
inference(avatar_split_clause,[],[f591,f1411,f1407]) ).
fof(f591,plain,
( e12 = op1(e12,e10)
| ~ sP40 ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,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(e12,e10) )
| ~ sP40 ),
inference(nnf_transformation,[],[f63]) ).
fof(f1405,plain,
( ~ spl52_113
| spl52_114 ),
inference(avatar_split_clause,[],[f586,f1402,f1398]) ).
fof(f586,plain,
( e12 = op1(e12,e11)
| ~ sP41 ),
inference(cnf_transformation,[],[f118]) ).
fof(f1396,plain,
( ~ spl52_111
| spl52_112 ),
inference(avatar_split_clause,[],[f571,f1393,f1389]) ).
fof(f571,plain,
( e13 = op1(e13,e10)
| ~ sP44 ),
inference(cnf_transformation,[],[f115]) ).
fof(f1387,plain,
( ~ spl52_109
| spl52_110 ),
inference(avatar_split_clause,[],[f566,f1384,f1380]) ).
fof(f566,plain,
( e13 = op1(e13,e11)
| ~ sP45 ),
inference(cnf_transformation,[],[f114]) ).
fof(f1378,plain,
( ~ spl52_107
| spl52_108 ),
inference(avatar_split_clause,[],[f561,f1375,f1371]) ).
fof(f561,plain,
( e13 = op1(e13,e12)
| ~ sP46 ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,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(e13,e12) )
| ~ sP46 ),
inference(nnf_transformation,[],[f69]) ).
fof(f1369,plain,
( ~ spl52_105
| spl52_106 ),
inference(avatar_split_clause,[],[f556,f1366,f1362]) ).
fof(f556,plain,
( e13 = op1(e13,e13)
| ~ sP47 ),
inference(cnf_transformation,[],[f112]) ).
fof(f1360,plain,
( ~ spl52_40
| spl52_24 ),
inference(avatar_split_clause,[],[f842,f980,f1054]) ).
fof(f1054,plain,
( spl52_40
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_40])]) ).
fof(f842,plain,
( e10 = e12
| ~ sP51 ),
inference(trivial_inequality_removal,[],[f841]) ).
fof(f841,plain,
( e13 != e13
| e10 = e12
| ~ sP51 ),
inference(forward_demodulation,[],[f840,f337]) ).
fof(f840,plain,
( e10 = e12
| e13 != op1(e12,e12)
| ~ sP51 ),
inference(forward_demodulation,[],[f539,f722]) ).
fof(f539,plain,
( e12 = op1(e12,e13)
| e13 != op1(e12,e12)
| ~ sP51 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,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) )
| ~ sP51 ),
inference(nnf_transformation,[],[f74]) ).
fof(f1359,plain,
( ~ spl52_39
| spl52_28 ),
inference(avatar_split_clause,[],[f843,f1000,f1050]) ).
fof(f1050,plain,
( spl52_39
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_39])]) ).
fof(f843,plain,
( e12 = e13
| ~ sP50 ),
inference(forward_demodulation,[],[f541,f337]) ).
fof(f541,plain,
( e12 = op1(e12,e12)
| ~ sP50 ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,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) )
| ~ sP50 ),
inference(nnf_transformation,[],[f73]) ).
fof(f1358,plain,
( ~ spl52_38
| spl52_104 ),
inference(avatar_split_clause,[],[f546,f1355,f1046]) ).
fof(f546,plain,
( e11 = op1(e11,e11)
| ~ sP49 ),
inference(cnf_transformation,[],[f110]) ).
fof(f1353,plain,
( ~ spl52_37
| spl52_103 ),
inference(avatar_split_clause,[],[f551,f1350,f1042]) ).
fof(f551,plain,
( e10 = op1(e10,e10)
| ~ sP48 ),
inference(cnf_transformation,[],[f111]) ).
fof(f1348,plain,
( ~ spl52_101
| spl52_102 ),
inference(avatar_split_clause,[],[f519,f1345,f1341]) ).
fof(f519,plain,
( e20 = op2(e20,e22)
| ~ sP14 ),
inference(cnf_transformation,[],[f105]) ).
fof(f1339,plain,
( ~ spl52_99
| spl52_100 ),
inference(avatar_split_clause,[],[f514,f1336,f1332]) ).
fof(f514,plain,
( e20 = op2(e20,e23)
| ~ sP15 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,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(e20,e23) )
| ~ sP15 ),
inference(nnf_transformation,[],[f37]) ).
fof(f1330,plain,
( ~ spl52_97
| spl52_98 ),
inference(avatar_split_clause,[],[f509,f1327,f1323]) ).
fof(f509,plain,
( e21 = op2(e21,e20)
| ~ sP16 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,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(e21,e20) )
| ~ sP16 ),
inference(nnf_transformation,[],[f38]) ).
fof(f1321,plain,
( ~ spl52_95
| spl52_96 ),
inference(avatar_split_clause,[],[f499,f1318,f1314]) ).
fof(f499,plain,
( e21 = op2(e21,e22)
| ~ sP18 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,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(e21,e22) )
| ~ sP18 ),
inference(nnf_transformation,[],[f40]) ).
fof(f1312,plain,
( ~ spl52_93
| spl52_94 ),
inference(avatar_split_clause,[],[f494,f1309,f1305]) ).
fof(f494,plain,
( e21 = op2(e21,e23)
| ~ sP19 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,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(e21,e23) )
| ~ sP19 ),
inference(nnf_transformation,[],[f41]) ).
fof(f1303,plain,
( ~ spl52_91
| spl52_92 ),
inference(avatar_split_clause,[],[f489,f1300,f1296]) ).
fof(f489,plain,
( e22 = op2(e22,e20)
| ~ sP20 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,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(e22,e20) )
| ~ sP20 ),
inference(nnf_transformation,[],[f42]) ).
fof(f1294,plain,
( ~ spl52_89
| spl52_90 ),
inference(avatar_split_clause,[],[f474,f1291,f1287]) ).
fof(f474,plain,
( e22 = op2(e22,e23)
| ~ sP23 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,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(e22,e23) )
| ~ sP23 ),
inference(nnf_transformation,[],[f45]) ).
fof(f1284,plain,
( spl52_88
| ~ spl52_67
| ~ spl52_87 ),
inference(avatar_split_clause,[],[f1279,f1275,f1177,f1281]) ).
fof(f1275,plain,
( spl52_87
<=> op2(e22,e22) = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_87])]) ).
fof(f1279,plain,
( e23 = h3(e13)
| ~ spl52_67
| ~ spl52_87 ),
inference(forward_demodulation,[],[f1277,f1179]) ).
fof(f1277,plain,
( op2(e22,e22) = h3(e13)
| ~ spl52_87 ),
inference(avatar_component_clause,[],[f1275]) ).
fof(f1278,plain,
spl52_87,
inference(avatar_split_clause,[],[f235,f1275]) ).
fof(f1273,plain,
( spl52_86
| ~ spl52_70
| ~ spl52_85 ),
inference(avatar_split_clause,[],[f1268,f1264,f1192,f1270]) ).
fof(f1267,plain,
spl52_85,
inference(avatar_split_clause,[],[f231,f1264]) ).
fof(f1262,plain,
spl52_84,
inference(avatar_split_clause,[],[f227,f1259]) ).
fof(f1257,plain,
spl52_83,
inference(avatar_split_clause,[],[f223,f1254]) ).
fof(f1252,plain,
( ~ spl52_82
| spl52_77 ),
inference(avatar_split_clause,[],[f839,f1224,f1249]) ).
fof(f839,plain,
( e20 = h1(e13)
| ~ sP12 ),
inference(forward_demodulation,[],[f529,f227]) ).
fof(f529,plain,
( e20 = op2(e20,e20)
| ~ sP12 ),
inference(cnf_transformation,[],[f107]) ).
fof(f1247,plain,
( ~ spl52_81
| ~ spl52_70 ),
inference(avatar_split_clause,[],[f833,f1192,f1244]) ).
fof(f833,plain,
( e21 != h2(e13)
| ~ sP13 ),
inference(forward_demodulation,[],[f655,f231]) ).
fof(f655,plain,
( e21 != op2(e21,e21)
| ~ sP13 ),
inference(duplicate_literal_removal,[],[f526]) ).
fof(f526,plain,
( e21 != op2(e21,e21)
| e21 != op2(e21,e21)
| ~ sP13 ),
inference(cnf_transformation,[],[f106]) ).
fof(f1242,plain,
( ~ spl52_80
| ~ spl52_70 ),
inference(avatar_split_clause,[],[f816,f1192,f1239]) ).
fof(f816,plain,
( e21 != h2(e13)
| ~ sP17 ),
inference(forward_demodulation,[],[f659,f231]) ).
fof(f659,plain,
( e21 != op2(e21,e21)
| ~ sP17 ),
inference(duplicate_literal_removal,[],[f506]) ).
fof(f506,plain,
( e21 != op2(e21,e21)
| e21 != op2(e21,e21)
| ~ sP17 ),
inference(cnf_transformation,[],[f102]) ).
fof(f1237,plain,
( ~ spl52_79
| ~ spl52_70 ),
inference(avatar_split_clause,[],[f800,f1192,f1234]) ).
fof(f800,plain,
( e21 != h2(e13)
| ~ sP21 ),
inference(forward_demodulation,[],[f663,f231]) ).
fof(f663,plain,
( e21 != op2(e21,e21)
| ~ sP21 ),
inference(duplicate_literal_removal,[],[f486]) ).
fof(f486,plain,
( e21 != op2(e21,e21)
| e21 != op2(e21,e21)
| ~ sP21 ),
inference(cnf_transformation,[],[f98]) ).
fof(f1232,plain,
( ~ spl52_78
| spl52_74 ),
inference(avatar_split_clause,[],[f797,f1210,f1229]) ).
fof(f797,plain,
( e22 = h3(e13)
| ~ sP22 ),
inference(forward_demodulation,[],[f479,f235]) ).
fof(f479,plain,
( e22 = op2(e22,e22)
| ~ sP22 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,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(f1227,plain,
( ~ spl52_76
| ~ spl52_77 ),
inference(avatar_split_clause,[],[f788,f1224,f1220]) ).
fof(f788,plain,
( e20 != h1(e13)
| ~ sP24 ),
inference(forward_demodulation,[],[f666,f227]) ).
fof(f666,plain,
( e20 != op2(e20,e20)
| ~ sP24 ),
inference(duplicate_literal_removal,[],[f470]) ).
fof(f470,plain,
( e20 != op2(e20,e20)
| e20 != op2(e20,e20)
| ~ sP24 ),
inference(cnf_transformation,[],[f95]) ).
fof(f1218,plain,
( ~ spl52_75
| ~ spl52_70 ),
inference(avatar_split_clause,[],[f783,f1192,f1215]) ).
fof(f783,plain,
( e21 != h2(e13)
| ~ sP25 ),
inference(forward_demodulation,[],[f667,f231]) ).
fof(f667,plain,
( e21 != op2(e21,e21)
| ~ sP25 ),
inference(duplicate_literal_removal,[],[f466]) ).
fof(f466,plain,
( e21 != op2(e21,e21)
| e21 != op2(e21,e21)
| ~ sP25 ),
inference(cnf_transformation,[],[f94]) ).
fof(f1213,plain,
( ~ spl52_73
| ~ spl52_74 ),
inference(avatar_split_clause,[],[f778,f1210,f1206]) ).
fof(f778,plain,
( e22 != h3(e13)
| ~ sP26 ),
inference(forward_demodulation,[],[f668,f235]) ).
fof(f668,plain,
( e22 != op2(e22,e22)
| ~ sP26 ),
inference(duplicate_literal_removal,[],[f462]) ).
fof(f462,plain,
( e22 != op2(e22,e22)
| e22 != op2(e22,e22)
| ~ sP26 ),
inference(cnf_transformation,[],[f93]) ).
fof(f1204,plain,
( ~ spl52_71
| ~ spl52_72 ),
inference(avatar_split_clause,[],[f772,f1201,f1197]) ).
fof(f772,plain,
( e23 != h4(e13)
| ~ sP27 ),
inference(forward_demodulation,[],[f669,f223]) ).
fof(f669,plain,
( e23 != op2(e23,e23)
| ~ sP27 ),
inference(duplicate_literal_removal,[],[f458]) ).
fof(f458,plain,
( e23 != op2(e23,e23)
| e23 != op2(e23,e23)
| ~ sP27 ),
inference(cnf_transformation,[],[f92]) ).
fof(f1195,plain,
( ~ spl52_34
| spl52_70 ),
inference(avatar_split_clause,[],[f767,f1192,f1029]) ).
fof(f767,plain,
( e21 = h2(e13)
| ~ sP29 ),
inference(forward_demodulation,[],[f444,f231]) ).
fof(f444,plain,
( e21 = op2(e21,e21)
| ~ sP29 ),
inference(cnf_transformation,[],[f90]) ).
fof(f1190,plain,
spl52_69,
inference(avatar_split_clause,[],[f722,f1187]) ).
fof(f1185,plain,
spl52_68,
inference(avatar_split_clause,[],[f337,f1182]) ).
fof(f1180,plain,
spl52_67,
inference(avatar_split_clause,[],[f334,f1177]) ).
fof(f1175,plain,
( ~ spl52_65
| ~ spl52_66 ),
inference(avatar_split_clause,[],[f172,f1172,f1168]) ).
fof(f172,plain,
( e20 != h1(e10)
| ~ sP0 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f1166,plain,
( ~ spl52_63
| ~ spl52_64 ),
inference(avatar_split_clause,[],[f168,f1163,f1159]) ).
fof(f1163,plain,
( spl52_64
<=> e21 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_64])]) ).
fof(f168,plain,
( e21 != h1(e10)
| ~ sP1 ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f1157,plain,
( ~ spl52_61
| ~ spl52_62 ),
inference(avatar_split_clause,[],[f164,f1154,f1150]) ).
fof(f1154,plain,
( spl52_62
<=> e22 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_62])]) ).
fof(f164,plain,
( e22 != h1(e10)
| ~ sP2 ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f1148,plain,
( ~ spl52_59
| ~ spl52_60 ),
inference(avatar_split_clause,[],[f160,f1145,f1141]) ).
fof(f1145,plain,
( spl52_60
<=> e20 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_60])]) ).
fof(f160,plain,
( e20 != h2(e10)
| ~ sP3 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f1139,plain,
( ~ spl52_57
| ~ spl52_58 ),
inference(avatar_split_clause,[],[f156,f1136,f1132]) ).
fof(f156,plain,
( e21 != h2(e10)
| ~ sP4 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
fof(f1130,plain,
( ~ spl52_55
| ~ spl52_56 ),
inference(avatar_split_clause,[],[f152,f1127,f1123]) ).
fof(f1127,plain,
( spl52_56
<=> e22 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_56])]) ).
fof(f152,plain,
( e22 != h2(e10)
| ~ sP5 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP5 ),
inference(nnf_transformation,[],[f26]) ).
fof(f1121,plain,
( ~ spl52_53
| ~ spl52_54 ),
inference(avatar_split_clause,[],[f148,f1118,f1114]) ).
fof(f148,plain,
( e20 != h3(e10)
| ~ sP6 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f1112,plain,
( ~ spl52_51
| ~ spl52_52 ),
inference(avatar_split_clause,[],[f144,f1109,f1105]) ).
fof(f1109,plain,
( spl52_52
<=> e21 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_52])]) ).
fof(f144,plain,
( e21 != h3(e10)
| ~ sP7 ),
inference(cnf_transformation,[],[f80]) ).
fof(f1103,plain,
( ~ spl52_49
| ~ spl52_50 ),
inference(avatar_split_clause,[],[f140,f1100,f1096]) ).
fof(f1100,plain,
( spl52_50
<=> e22 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_50])]) ).
fof(f140,plain,
( e22 != h3(e10)
| ~ sP8 ),
inference(cnf_transformation,[],[f79]) ).
fof(f1094,plain,
( ~ spl52_47
| ~ spl52_48 ),
inference(avatar_split_clause,[],[f136,f1091,f1087]) ).
fof(f1091,plain,
( spl52_48
<=> e20 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_48])]) ).
fof(f136,plain,
( e20 != h4(e10)
| ~ sP9 ),
inference(cnf_transformation,[],[f78]) ).
fof(f1085,plain,
( ~ spl52_45
| ~ spl52_46 ),
inference(avatar_split_clause,[],[f132,f1082,f1078]) ).
fof(f132,plain,
( e21 != h4(e10)
| ~ sP10 ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP10 ),
inference(nnf_transformation,[],[f31]) ).
fof(f1076,plain,
( ~ spl52_43
| ~ spl52_44 ),
inference(avatar_split_clause,[],[f128,f1073,f1069]) ).
fof(f1073,plain,
( spl52_44
<=> e22 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_44])]) ).
fof(f128,plain,
( e22 != h4(e10)
| ~ sP11 ),
inference(cnf_transformation,[],[f76]) ).
fof(f1067,plain,
( ~ spl52_42
| spl52_28 ),
inference(avatar_split_clause,[],[f853,f1000,f1064]) ).
fof(f853,plain,
( e12 = e13
| ~ sP42 ),
inference(forward_demodulation,[],[f581,f337]) ).
fof(f581,plain,
( e12 = op1(e12,e12)
| ~ sP42 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,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) )
| ~ sP42 ),
inference(nnf_transformation,[],[f65]) ).
fof(f1062,plain,
( ~ spl52_41
| spl52_24 ),
inference(avatar_split_clause,[],[f851,f980,f1059]) ).
fof(f851,plain,
( e10 = e12
| ~ sP43 ),
inference(forward_demodulation,[],[f576,f722]) ).
fof(f576,plain,
( e12 = op1(e12,e13)
| ~ sP43 ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,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(e12,e13) )
| ~ sP43 ),
inference(nnf_transformation,[],[f66]) ).
fof(f1057,plain,
( spl52_37
| spl52_38
| spl52_39
| spl52_40 ),
inference(avatar_split_clause,[],[f637,f1054,f1050,f1046,f1042]) ).
fof(f637,plain,
( sP51
| sP50
| sP49
| sP48 ),
inference(cnf_transformation,[],[f75]) ).
fof(f1040,plain,
( spl52_33
| spl52_34
| spl52_35
| spl52_36 ),
inference(avatar_split_clause,[],[f535,f1037,f1033,f1029,f1025]) ).
fof(f535,plain,
( sP31
| sP30
| sP29
| sP28 ),
inference(cnf_transformation,[],[f54]) ).
fof(f1023,plain,
spl52_32,
inference(avatar_split_clause,[],[f232,f1020]) ).
fof(f232,plain,
e22 = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f1018,plain,
spl52_31,
inference(avatar_split_clause,[],[f228,f1015]) ).
fof(f228,plain,
e21 = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f1013,plain,
spl52_30,
inference(avatar_split_clause,[],[f224,f1010]) ).
fof(f224,plain,
e20 = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f1008,plain,
spl52_29,
inference(avatar_split_clause,[],[f220,f1005]) ).
fof(f220,plain,
e23 = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f1003,plain,
~ spl52_28,
inference(avatar_split_clause,[],[f219,f1000]) ).
fof(f219,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/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f998,plain,
~ spl52_27,
inference(avatar_split_clause,[],[f218,f995]) ).
fof(f218,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f993,plain,
~ spl52_26,
inference(avatar_split_clause,[],[f217,f990]) ).
fof(f217,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f988,plain,
~ spl52_25,
inference(avatar_split_clause,[],[f216,f985]) ).
fof(f216,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f983,plain,
~ spl52_24,
inference(avatar_split_clause,[],[f215,f980]) ).
fof(f215,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f978,plain,
~ spl52_23,
inference(avatar_split_clause,[],[f214,f975]) ).
fof(f214,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f973,plain,
~ spl52_22,
inference(avatar_split_clause,[],[f213,f970]) ).
fof(f970,plain,
( spl52_22
<=> e13 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_22])]) ).
fof(f213,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/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f968,plain,
~ spl52_21,
inference(avatar_split_clause,[],[f212,f965]) ).
fof(f965,plain,
( spl52_21
<=> e13 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_21])]) ).
fof(f212,plain,
e13 != e22,
inference(cnf_transformation,[],[f9]) ).
fof(f963,plain,
~ spl52_20,
inference(avatar_split_clause,[],[f211,f960]) ).
fof(f960,plain,
( spl52_20
<=> e13 = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_20])]) ).
fof(f211,plain,
e13 != e21,
inference(cnf_transformation,[],[f9]) ).
fof(f958,plain,
~ spl52_19,
inference(avatar_split_clause,[],[f210,f955]) ).
fof(f955,plain,
( spl52_19
<=> e13 = e20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_19])]) ).
fof(f210,plain,
e13 != e20,
inference(cnf_transformation,[],[f9]) ).
fof(f953,plain,
~ spl52_18,
inference(avatar_split_clause,[],[f209,f950]) ).
fof(f950,plain,
( spl52_18
<=> e12 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_18])]) ).
fof(f209,plain,
e12 != e23,
inference(cnf_transformation,[],[f9]) ).
fof(f948,plain,
~ spl52_17,
inference(avatar_split_clause,[],[f208,f945]) ).
fof(f945,plain,
( spl52_17
<=> e12 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_17])]) ).
fof(f208,plain,
e12 != e22,
inference(cnf_transformation,[],[f9]) ).
fof(f943,plain,
~ spl52_16,
inference(avatar_split_clause,[],[f207,f940]) ).
fof(f940,plain,
( spl52_16
<=> e12 = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_16])]) ).
fof(f207,plain,
e12 != e21,
inference(cnf_transformation,[],[f9]) ).
fof(f938,plain,
~ spl52_15,
inference(avatar_split_clause,[],[f206,f935]) ).
fof(f935,plain,
( spl52_15
<=> e12 = e20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_15])]) ).
fof(f206,plain,
e12 != e20,
inference(cnf_transformation,[],[f9]) ).
fof(f933,plain,
~ spl52_14,
inference(avatar_split_clause,[],[f205,f930]) ).
fof(f930,plain,
( spl52_14
<=> e11 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_14])]) ).
fof(f205,plain,
e11 != e23,
inference(cnf_transformation,[],[f9]) ).
fof(f928,plain,
~ spl52_13,
inference(avatar_split_clause,[],[f204,f925]) ).
fof(f925,plain,
( spl52_13
<=> e11 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_13])]) ).
fof(f204,plain,
e11 != e22,
inference(cnf_transformation,[],[f9]) ).
fof(f923,plain,
~ spl52_12,
inference(avatar_split_clause,[],[f203,f920]) ).
fof(f920,plain,
( spl52_12
<=> e11 = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_12])]) ).
fof(f203,plain,
e11 != e21,
inference(cnf_transformation,[],[f9]) ).
fof(f918,plain,
~ spl52_11,
inference(avatar_split_clause,[],[f202,f915]) ).
fof(f915,plain,
( spl52_11
<=> e11 = e20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_11])]) ).
fof(f202,plain,
e11 != e20,
inference(cnf_transformation,[],[f9]) ).
fof(f913,plain,
~ spl52_10,
inference(avatar_split_clause,[],[f201,f910]) ).
fof(f910,plain,
( spl52_10
<=> e10 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_10])]) ).
fof(f201,plain,
e10 != e23,
inference(cnf_transformation,[],[f9]) ).
fof(f908,plain,
~ spl52_9,
inference(avatar_split_clause,[],[f200,f905]) ).
fof(f905,plain,
( spl52_9
<=> e10 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_9])]) ).
fof(f200,plain,
e10 != e22,
inference(cnf_transformation,[],[f9]) ).
fof(f903,plain,
~ spl52_8,
inference(avatar_split_clause,[],[f199,f900]) ).
fof(f900,plain,
( spl52_8
<=> e10 = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_8])]) ).
fof(f199,plain,
e10 != e21,
inference(cnf_transformation,[],[f9]) ).
fof(f898,plain,
~ spl52_7,
inference(avatar_split_clause,[],[f198,f895]) ).
fof(f895,plain,
( spl52_7
<=> e10 = e20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_7])]) ).
fof(f198,plain,
e10 != e20,
inference(cnf_transformation,[],[f9]) ).
fof(f893,plain,
~ spl52_6,
inference(avatar_split_clause,[],[f197,f890]) ).
fof(f197,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/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f888,plain,
~ spl52_5,
inference(avatar_split_clause,[],[f196,f885]) ).
fof(f196,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f883,plain,
~ spl52_4,
inference(avatar_split_clause,[],[f195,f880]) ).
fof(f195,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f878,plain,
~ spl52_3,
inference(avatar_split_clause,[],[f194,f875]) ).
fof(f194,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f873,plain,
~ spl52_2,
inference(avatar_split_clause,[],[f193,f870]) ).
fof(f193,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f868,plain,
~ spl52_1,
inference(avatar_split_clause,[],[f192,f865]) ).
fof(f192,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.16 % Problem : ALG127+1 : TPTP v8.2.0. Released v2.7.0.
% 0.09/0.18 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.18/0.40 % Computer : n018.cluster.edu
% 0.18/0.40 % Model : x86_64 x86_64
% 0.18/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.40 % Memory : 8042.1875MB
% 0.18/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.40 % CPULimit : 300
% 0.18/0.40 % WCLimit : 300
% 0.18/0.40 % DateTime : Sat May 18 23:21:08 EDT 2024
% 0.18/0.40 % CPUTime :
% 0.26/0.41 % (18595)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.44 % (18598)WARNING: value z3 for option sas not known
% 0.26/0.44 % (18599)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.26/0.44 % (18602)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)
% 0.26/0.44 % (18598)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)
% 0.26/0.44 % (18601)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)
% 0.26/0.44 % (18596)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.26/0.45 % (18600)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)
% 0.26/0.46 % (18597)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.26/0.56 Detected minimum model sizes of [8]
% 0.26/0.56 Detected maximum model sizes of [max]
% 0.26/0.56 TRYING [8]
% 2.60/0.81 TRYING [9]
% 2.60/0.81 % (18600)First to succeed.
% 2.60/0.84 % (18600)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18595"
% 2.60/0.85 % (18600)Refutation found. Thanks to Tanya!
% 2.60/0.85 % SZS status Theorem for theBenchmark
% 2.60/0.85 % SZS output start Proof for theBenchmark
% See solution above
% 3.13/0.87 % (18600)------------------------------
% 3.13/0.87 % (18600)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.13/0.87 % (18600)Termination reason: Refutation
% 3.13/0.87
% 3.13/0.87 % (18600)Memory used [KB]: 4923
% 3.13/0.87 % (18600)Time elapsed: 0.409 s
% 3.13/0.87 % (18600)Instructions burned: 1020 (million)
% 3.13/0.87 % (18595)Success in time 0.456 s
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