TSTP Solution File: ALG066+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG066+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 : n016.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 18:25:31 EDT 2024
% Result : Theorem 2.87s 0.79s
% Output : Refutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 556
% Syntax : Number of formulae : 3072 ( 248 unt; 0 def)
% Number of atoms : 13907 (6276 equ)
% Maximal formula atoms : 425 ( 4 avg)
% Number of connectives : 18488 (7653 ~;8980 |;1435 &)
% ( 420 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 552 ( 550 usr; 551 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25662,plain,
$false,
inference(avatar_sat_refutation,[],[f1038,f1043,f1048,f1053,f1058,f1063,f1069,f1074,f1079,f1084,f1089,f1094,f1099,f1104,f1109,f1114,f1119,f1124,f1130,f1135,f1140,f1146,f1152,f1157,f1162,f1168,f1174,f1179,f1184,f1190,f1195,f1201,f1206,f1212,f1217,f1224,f1230,f1235,f1240,f1246,f1253,f1259,f1265,f1271,f1276,f1283,f1290,f1296,f1301,f1306,f1311,f1316,f1321,f1326,f1332,f1338,f1343,f1348,f1353,f1359,f1364,f1369,f1375,f1380,f1386,f1391,f1397,f1403,f1409,f1414,f1421,f1426,f1431,f1440,f1445,f1450,f1455,f1461,f1467,f1473,f1479,f1484,f1491,f1497,f1502,f1507,f1514,f1519,f1525,f1530,f1535,f1541,f1546,f1551,f1556,f1561,f1566,f1572,f1578,f1583,f1588,f1593,f1598,f1603,f1609,f1615,f1620,f1625,f1630,f1636,f1645,f1650,f1656,f1663,f1669,f1674,f1680,f1685,f1691,f1698,f1707,f1716,f1725,f1734,f1743,f1752,f1762,f1772,f1782,f1791,f1800,f1809,f1819,f1828,f1837,f1846,f1855,f1864,f1873,f1883,f1888,f1893,f1898,f1903,f1908,f1913,f1918,f1923,f1928,f1933,f1938,f1943,f1948,f1953,f1958,f1963,f1968,f1973,f1978,f1983,f1988,f1993,f1998,f2003,f2008,f2009,f2014,f2019,f2025,f2031,f2036,f2042,f2048,f2053,f2058,f2063,f2069,f2074,f2080,f2085,f2091,f2096,f2101,f2106,f2111,f2117,f2122,f2127,f2132,f2138,f2143,f2149,f2154,f2160,f2165,f2170,f2175,f2180,f2185,f2190,f2195,f2201,f2206,f2211,f2216,f2222,f2227,f2233,f2239,f2244,f2249,f2255,f2260,f2265,f2270,f2276,f2281,f2286,f2291,f2297,f2303,f2308,f2313,f2319,f2324,f2329,f2334,f2340,f2345,f2350,f2355,f2361,f2367,f2372,f2377,f2382,f2387,f2392,f2397,f2402,f2407,f2412,f2417,f2422,f2428,f2434,f2440,f2446,f2452,f2458,f2463,f2469,f2474,f2480,f2485,f2490,f2495,f2500,f2505,f2510,f2516,f2521,f2527,f2532,f2537,f2543,f2548,f2554,f2559,f2565,f2571,f2577,f2583,f2588,f2593,f2598,f2603,f2608,f2613,f2618,f2623,f2628,f2633,f2638,f2644,f2649,f2654,f2660,f2665,f2670,f2675,f2681,f2686,f2692,f2701,f2706,f2715,f2724,f2733,f2742,f2747,f2757,f2766,f2771,f2780,f2789,f2794,f2804,f2813,f2818,f2827,f2832,f2838,f2843,f2849,f2851,f2945,f2954,f2959,f2964,f2970,f2975,f2980,f2985,f2990,f2995,f3000,f3005,f3010,f3015,f3020,f3025,f3043,f3045,f3051,f3056,f3077,f3088,f3098,f3102,f3118,f3120,f3123,f3143,f3181,f3344,f3386,f3406,f3427,f3435,f3541,f3559,f3583,f3596,f3619,f3667,f3686,f3687,f3742,f3743,f3744,f3745,f3746,f3788,f3789,f3790,f3791,f3792,f4071,f4101,f4107,f4113,f4122,f4289,f4290,f4294,f4298,f4326,f4333,f4334,f4337,f4436,f4513,f4554,f4589,f4590,f4591,f4592,f4593,f4635,f4673,f4729,f4746,f4749,f4755,f4861,f4866,f4878,f4880,f4888,f4896,f4908,f4909,f4928,f4938,f4950,f4959,f4975,f5002,f5004,f5055,f5073,f5085,f5090,f5259,f5364,f5401,f5403,f5405,f5407,f5498,f5529,f5711,f5712,f5737,f5777,f5778,f5816,f5825,f5830,f5833,f5873,f5879,f5886,f5887,f5888,f6144,f6267,f6290,f6404,f6507,f6545,f6552,f6554,f6555,f6751,f6826,f6828,f6829,f6854,f6855,f6874,f7117,f7172,f7201,f7208,f7261,f7335,f7468,f7875,f7876,f8061,f8219,f8506,f8527,f8617,f8664,f8709,f8734,f8737,f8773,f8833,f8853,f8855,f8861,f8866,f8937,f8945,f8949,f8982,f9045,f9124,f9126,f9141,f9162,f9163,f9168,f9176,f9179,f9185,f9188,f9207,f9210,f9248,f9294,f9373,f9374,f9412,f9456,f9510,f9534,f9542,f9552,f9563,f9581,f9610,f9629,f9662,f9672,f9677,f9678,f9690,f9696,f9701,f9704,f9706,f9723,f9730,f9733,f9745,f9757,f9767,f9773,f9776,f9783,f9827,f9887,f9889,f10039,f10141,f10326,f10356,f10381,f10429,f10592,f10612,f10654,f10657,f10782,f10847,f10931,f11058,f11076,f11114,f11119,f11122,f11146,f11150,f11164,f11172,f11174,f11204,f11211,f11213,f11219,f11221,f11227,f11234,f11242,f11251,f11260,f11261,f11313,f11325,f11346,f11358,f11423,f11626,f11641,f11659,f11681,f11695,f11698,f11703,f11941,f12109,f12227,f12228,f12233,f12276,f12362,f12365,f12405,f12417,f12479,f12838,f12962,f13021,f13022,f13043,f13044,f13055,f13056,f13072,f13103,f13201,f13217,f13264,f13271,f13303,f13572,f13672,f13731,f13732,f13985,f14070,f14257,f14358,f14397,f14398,f15094,f15522,f15910,f16037,f16038,f16337,f16595,f16636,f16684,f16715,f16718,f16724,f16736,f16994,f17025,f17026,f17166,f17167,f17241,f17368,f17411,f17435,f17469,f17538,f17575,f17641,f17692,f17696,f18380,f18571,f18748,f19055,f19085,f19441,f19442,f19443,f19646,f20376,f20380,f20385,f20413,f20778,f20780,f20916,f21326,f21484,f21601,f21681,f21918,f22113,f22143,f22182,f22226,f22261,f22327,f22429,f22469,f22496,f22507,f22508,f22536,f22537,f22554,f22566,f22568,f22573,f22574,f22621,f22627,f22701,f22802,f22820,f22887,f22967,f23039,f23073,f23233,f23284,f23295,f23299,f23300,f23309,f23370,f23603,f23697,f23757,f23761,f23812,f23822,f23847,f23974,f24016,f24041,f24406,f24768,f24918,f25045,f25391,f25392,f25580,f25649,f25651,f25654,f25661]) ).
fof(f25661,plain,
( spl130_217
| spl130_157
| spl130_165
| spl130_168
| spl130_175
| ~ spl130_164
| ~ spl130_176
| ~ spl130_335 ),
inference(avatar_split_clause,[],[f23730,f2773,f1940,f1880,f1935,f1900,f1885,f1848,f2157]) ).
fof(f2157,plain,
( spl130_217
<=> e0 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_217])]) ).
fof(f1848,plain,
( spl130_157
<=> e0 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_157])]) ).
fof(f1885,plain,
( spl130_165
<=> e0 = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_165])]) ).
fof(f1900,plain,
( spl130_168
<=> e0 = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_168])]) ).
fof(f1935,plain,
( spl130_175
<=> e0 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_175])]) ).
fof(f1880,plain,
( spl130_164
<=> e4 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_164])]) ).
fof(f1940,plain,
( spl130_176
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_176])]) ).
fof(f2773,plain,
( spl130_335
<=> e3 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_335])]) ).
fof(f23730,plain,
( e0 = unit
| e0 = e4
| e0 = e1
| e0 = op(e4,e4)
| e0 = op(e4,e1)
| ~ spl130_164
| ~ spl130_176
| ~ spl130_335 ),
inference(forward_demodulation,[],[f22002,f23700]) ).
fof(f23700,plain,
( op(e4,e0) = unit
| ~ spl130_176
| ~ spl130_335 ),
inference(forward_demodulation,[],[f2774,f1941]) ).
fof(f1941,plain,
( e3 = unit
| ~ spl130_176 ),
inference(avatar_component_clause,[],[f1940]) ).
fof(f2774,plain,
( e3 = op(e4,e0)
| ~ spl130_335 ),
inference(avatar_component_clause,[],[f2773]) ).
fof(f22002,plain,
( e0 = e4
| e0 = e1
| e0 = op(e4,e4)
| e0 = op(e4,e1)
| e0 = op(e4,e0)
| ~ spl130_164 ),
inference(forward_demodulation,[],[f1004,f1882]) ).
fof(f1882,plain,
( e4 = op(e4,e3)
| ~ spl130_164 ),
inference(avatar_component_clause,[],[f1880]) ).
fof(f1004,plain,
( e0 = e1
| e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e1)
| e0 = op(e4,e0) ),
inference(forward_demodulation,[],[f836,f794]) ).
fof(f794,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e3 = op(e2,e4)
& e1 = op(e4,e2)
& e0 = op(op(e4,e2),op(e4,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f836,plain,
( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) )
& ( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) )
& ( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) )
& ( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) )
& ( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) )
& ( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) )
& ( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) )
& ( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) )
& ( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) )
& ( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) )
& ( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) )
& ( e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) )
& ( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e4)
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) )
& ( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) )
& ( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 )
& ( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 )
& ( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 )
& ( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f25654,plain,
( spl130_125
| spl130_333
| spl130_165
| spl130_177
| ~ spl130_130
| ~ spl130_176
| ~ spl130_340
| ~ spl130_342 ),
inference(avatar_split_clause,[],[f25630,f2806,f2797,f1940,f1722,f1945,f1885,f2763,f1700]) ).
fof(f1700,plain,
( spl130_125
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_125])]) ).
fof(f2763,plain,
( spl130_333
<=> e1 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_333])]) ).
fof(f1945,plain,
( spl130_177
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_177])]) ).
fof(f1722,plain,
( spl130_130
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_130])]) ).
fof(f2797,plain,
( spl130_340
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_340])]) ).
fof(f2806,plain,
( spl130_342
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_342])]) ).
fof(f25630,plain,
( e1 = unit
| e0 = e1
| e1 = op(e0,e4)
| op(e0,e0) = e1
| ~ spl130_130
| ~ spl130_176
| ~ spl130_340
| ~ spl130_342 ),
inference(duplicate_literal_removal,[],[f25629]) ).
fof(f25629,plain,
( e1 = unit
| e1 = unit
| e0 = e1
| e1 = op(e0,e4)
| op(e0,e0) = e1
| ~ spl130_130
| ~ spl130_176
| ~ spl130_340
| ~ spl130_342 ),
inference(forward_demodulation,[],[f24095,f24921]) ).
fof(f24921,plain,
( op(e0,e2) = unit
| ~ spl130_176
| ~ spl130_340 ),
inference(forward_demodulation,[],[f2798,f1941]) ).
fof(f2798,plain,
( e3 = op(e0,e2)
| ~ spl130_340 ),
inference(avatar_component_clause,[],[f2797]) ).
fof(f24095,plain,
( e1 = unit
| e0 = e1
| e1 = op(e0,e4)
| e1 = op(e0,e2)
| op(e0,e0) = e1
| ~ spl130_130
| ~ spl130_176
| ~ spl130_342 ),
inference(forward_demodulation,[],[f22509,f23689]) ).
fof(f23689,plain,
( op(e0,e1) = unit
| ~ spl130_176
| ~ spl130_342 ),
inference(forward_demodulation,[],[f2807,f1941]) ).
fof(f2807,plain,
( e3 = op(e0,e1)
| ~ spl130_342 ),
inference(avatar_component_clause,[],[f2806]) ).
fof(f22509,plain,
( e0 = e1
| e1 = op(e0,e4)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1
| ~ spl130_130 ),
inference(forward_demodulation,[],[f798,f1724]) ).
fof(f1724,plain,
( e0 = op(e0,e3)
| ~ spl130_130 ),
inference(avatar_component_clause,[],[f1722]) ).
fof(f798,plain,
( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f25651,plain,
( spl130_127
| spl130_331
| spl130_166
| spl130_319
| ~ spl130_130
| ~ spl130_176
| ~ spl130_340
| ~ spl130_342 ),
inference(avatar_split_clause,[],[f24929,f2806,f2797,f1940,f1722,f2698,f1890,f2754,f1709]) ).
fof(f1709,plain,
( spl130_127
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_127])]) ).
fof(f2754,plain,
( spl130_331
<=> e2 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_331])]) ).
fof(f1890,plain,
( spl130_166
<=> e0 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_166])]) ).
fof(f2698,plain,
( spl130_319
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_319])]) ).
fof(f24929,plain,
( e2 = unit
| e0 = e2
| e2 = op(e0,e4)
| op(e0,e0) = e2
| ~ spl130_130
| ~ spl130_176
| ~ spl130_340
| ~ spl130_342 ),
inference(forward_demodulation,[],[f17753,f1941]) ).
fof(f17753,plain,
( e2 = e3
| e0 = e2
| e2 = op(e0,e4)
| op(e0,e0) = e2
| ~ spl130_130
| ~ spl130_340
| ~ spl130_342 ),
inference(duplicate_literal_removal,[],[f17752]) ).
fof(f17752,plain,
( e2 = e3
| e2 = e3
| e0 = e2
| e2 = op(e0,e4)
| op(e0,e0) = e2
| ~ spl130_130
| ~ spl130_340
| ~ spl130_342 ),
inference(forward_demodulation,[],[f17751,f2807]) ).
fof(f17751,plain,
( e2 = e3
| e0 = e2
| e2 = op(e0,e4)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_130
| ~ spl130_340 ),
inference(forward_demodulation,[],[f17750,f2798]) ).
fof(f17750,plain,
( e0 = e2
| e2 = op(e0,e4)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_130 ),
inference(forward_demodulation,[],[f800,f1724]) ).
fof(f800,plain,
( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f25649,plain,
( spl130_131
| spl130_369
| spl130_168
| spl130_318
| ~ spl130_130
| ~ spl130_176
| ~ spl130_340
| ~ spl130_342 ),
inference(avatar_split_clause,[],[f24926,f2806,f2797,f1940,f1722,f2694,f1900,f3028,f1727]) ).
fof(f1727,plain,
( spl130_131
<=> op(e0,e0) = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_131])]) ).
fof(f3028,plain,
( spl130_369
<=> e4 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_369])]) ).
fof(f2694,plain,
( spl130_318
<=> e4 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_318])]) ).
fof(f24926,plain,
( e4 = unit
| e0 = e4
| e4 = op(e0,e4)
| op(e0,e0) = e4
| ~ spl130_130
| ~ spl130_176
| ~ spl130_340
| ~ spl130_342 ),
inference(forward_demodulation,[],[f17749,f1941]) ).
fof(f17749,plain,
( e3 = e4
| e0 = e4
| e4 = op(e0,e4)
| op(e0,e0) = e4
| ~ spl130_130
| ~ spl130_340
| ~ spl130_342 ),
inference(duplicate_literal_removal,[],[f17748]) ).
fof(f17748,plain,
( e3 = e4
| e3 = e4
| e0 = e4
| e4 = op(e0,e4)
| op(e0,e0) = e4
| ~ spl130_130
| ~ spl130_340
| ~ spl130_342 ),
inference(forward_demodulation,[],[f17747,f2807]) ).
fof(f17747,plain,
( e3 = e4
| e0 = e4
| e4 = op(e0,e4)
| e4 = op(e0,e1)
| op(e0,e0) = e4
| ~ spl130_130
| ~ spl130_340 ),
inference(forward_demodulation,[],[f17746,f2798]) ).
fof(f17746,plain,
( e0 = e4
| e4 = op(e0,e4)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4
| ~ spl130_130 ),
inference(forward_demodulation,[],[f804,f1724]) ).
fof(f804,plain,
( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f3]) ).
fof(f25580,plain,
( spl130_319
| spl130_175
| spl130_177
| spl130_380
| ~ spl130_134
| ~ spl130_142
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(avatar_split_clause,[],[f23246,f4999,f1950,f1940,f1779,f1740,f4110,f1945,f1935,f2698]) ).
fof(f4110,plain,
( spl130_380
<=> op(e0,e0) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_380])]) ).
fof(f1740,plain,
( spl130_134
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_134])]) ).
fof(f1779,plain,
( spl130_142
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_142])]) ).
fof(f1950,plain,
( spl130_178
<=> e0 = op(unit,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_178])]) ).
fof(f4999,plain,
( spl130_393
<=> e0 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_393])]) ).
fof(f23246,plain,
( op(e0,e0) = unit
| e1 = unit
| e0 = unit
| e2 = unit
| ~ spl130_134
| ~ spl130_142
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(forward_demodulation,[],[f23245,f1941]) ).
fof(f23245,plain,
( e1 = unit
| e0 = unit
| e2 = unit
| op(e0,e0) = e3
| ~ spl130_134
| ~ spl130_142
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(forward_demodulation,[],[f23244,f1941]) ).
fof(f23244,plain,
( e1 = e3
| e0 = unit
| e2 = unit
| op(e0,e0) = e3
| ~ spl130_134
| ~ spl130_142
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(forward_demodulation,[],[f23243,f1742]) ).
fof(f1742,plain,
( e1 = op(e1,e0)
| ~ spl130_134 ),
inference(avatar_component_clause,[],[f1740]) ).
fof(f23243,plain,
( e0 = unit
| e2 = unit
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl130_142
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(duplicate_literal_removal,[],[f23242]) ).
fof(f23242,plain,
( e0 = unit
| e0 = unit
| e2 = unit
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl130_142
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(forward_demodulation,[],[f23241,f1952]) ).
fof(f1952,plain,
( e0 = op(unit,e0)
| ~ spl130_178 ),
inference(avatar_component_clause,[],[f1950]) ).
fof(f23241,plain,
( unit = op(unit,e0)
| e0 = unit
| e2 = unit
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl130_142
| ~ spl130_176
| ~ spl130_393 ),
inference(forward_demodulation,[],[f23240,f1941]) ).
fof(f23240,plain,
( e0 = unit
| e2 = unit
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl130_142
| ~ spl130_176
| ~ spl130_393 ),
inference(forward_demodulation,[],[f23239,f1941]) ).
fof(f23239,plain,
( e0 = e3
| e2 = unit
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl130_142
| ~ spl130_176
| ~ spl130_393 ),
inference(forward_demodulation,[],[f22953,f5001]) ).
fof(f5001,plain,
( e0 = op(e4,e0)
| ~ spl130_393 ),
inference(avatar_component_clause,[],[f4999]) ).
fof(f22953,plain,
( e2 = unit
| e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl130_142
| ~ spl130_176 ),
inference(forward_demodulation,[],[f17769,f1941]) ).
fof(f17769,plain,
( e2 = e3
| e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl130_142 ),
inference(forward_demodulation,[],[f803,f1781]) ).
fof(f1781,plain,
( e2 = op(e2,e0)
| ~ spl130_142 ),
inference(avatar_component_clause,[],[f1779]) ).
fof(f803,plain,
( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f25392,plain,
( spl130_171
| ~ spl130_176
| ~ spl130_181
| ~ spl130_239 ),
inference(avatar_split_clause,[],[f24292,f2273,f1965,f1940,f1915]) ).
fof(f1915,plain,
( spl130_171
<=> e1 = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_171])]) ).
fof(f1965,plain,
( spl130_181
<=> e1 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_181])]) ).
fof(f2273,plain,
( spl130_239
<=> e4 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_239])]) ).
fof(f24292,plain,
( e1 = e4
| ~ spl130_176
| ~ spl130_181
| ~ spl130_239 ),
inference(forward_demodulation,[],[f24291,f1967]) ).
fof(f1967,plain,
( e1 = op(e1,unit)
| ~ spl130_181 ),
inference(avatar_component_clause,[],[f1965]) ).
fof(f24291,plain,
( e4 = op(e1,unit)
| ~ spl130_176
| ~ spl130_239 ),
inference(forward_demodulation,[],[f2274,f1941]) ).
fof(f2274,plain,
( e4 = op(e1,e3)
| ~ spl130_239 ),
inference(avatar_component_clause,[],[f2273]) ).
fof(f25391,plain,
( ~ spl130_380
| spl130_129
| ~ spl130_176 ),
inference(avatar_split_clause,[],[f24895,f1940,f1718,f4110]) ).
fof(f1718,plain,
( spl130_129
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_129])]) ).
fof(f24895,plain,
( op(e0,e0) != unit
| spl130_129
| ~ spl130_176 ),
inference(forward_demodulation,[],[f1720,f1941]) ).
fof(f1720,plain,
( op(e0,e0) != e3
| spl130_129 ),
inference(avatar_component_clause,[],[f1718]) ).
fof(f25045,plain,
( spl130_127
| spl130_166
| spl130_319
| ~ spl130_132
| ~ spl130_176
| ~ spl130_179
| ~ spl130_340
| ~ spl130_342 ),
inference(avatar_split_clause,[],[f19654,f2806,f2797,f1955,f1940,f1731,f2698,f1890,f1709]) ).
fof(f1731,plain,
( spl130_132
<=> e0 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_132])]) ).
fof(f1955,plain,
( spl130_179
<=> e0 = op(e0,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_179])]) ).
fof(f19654,plain,
( e2 = unit
| e0 = e2
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_176
| ~ spl130_179
| ~ spl130_340
| ~ spl130_342 ),
inference(duplicate_literal_removal,[],[f16755]) ).
fof(f16755,plain,
( e2 = unit
| e2 = unit
| e0 = e2
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_176
| ~ spl130_179
| ~ spl130_340
| ~ spl130_342 ),
inference(forward_demodulation,[],[f16754,f1941]) ).
fof(f16754,plain,
( e2 = e3
| e2 = unit
| e0 = e2
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_176
| ~ spl130_179
| ~ spl130_340
| ~ spl130_342 ),
inference(forward_demodulation,[],[f16753,f2807]) ).
fof(f16753,plain,
( e2 = unit
| e0 = e2
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_176
| ~ spl130_179
| ~ spl130_340 ),
inference(forward_demodulation,[],[f16752,f1941]) ).
fof(f16752,plain,
( e2 = e3
| e0 = e2
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_176
| ~ spl130_179
| ~ spl130_340 ),
inference(forward_demodulation,[],[f16751,f2798]) ).
fof(f16751,plain,
( e0 = e2
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_176
| ~ spl130_179 ),
inference(duplicate_literal_removal,[],[f16750]) ).
fof(f16750,plain,
( e0 = e2
| e0 = e2
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_176
| ~ spl130_179 ),
inference(forward_demodulation,[],[f16749,f1957]) ).
fof(f1957,plain,
( e0 = op(e0,unit)
| ~ spl130_179 ),
inference(avatar_component_clause,[],[f1955]) ).
fof(f16749,plain,
( e2 = op(e0,unit)
| e0 = e2
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_176 ),
inference(forward_demodulation,[],[f16548,f1941]) ).
fof(f16548,plain,
( e0 = e2
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132 ),
inference(forward_demodulation,[],[f800,f1733]) ).
fof(f1733,plain,
( e0 = op(e0,e4)
| ~ spl130_132 ),
inference(avatar_component_clause,[],[f1731]) ).
fof(f24918,plain,
( spl130_390
| ~ spl130_132
| ~ spl130_321
| ~ spl130_346 ),
inference(avatar_split_clause,[],[f24867,f2824,f2708,f1731,f4987]) ).
fof(f4987,plain,
( spl130_390
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_390])]) ).
fof(f2708,plain,
( spl130_321
<=> e4 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_321])]) ).
fof(f2824,plain,
( spl130_346
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_346])]) ).
fof(f24867,plain,
( e0 = op(e0,e0)
| ~ spl130_132
| ~ spl130_321
| ~ spl130_346 ),
inference(forward_demodulation,[],[f1733,f18154]) ).
fof(f18154,plain,
( e0 = e4
| ~ spl130_321
| ~ spl130_346 ),
inference(forward_demodulation,[],[f2709,f2826]) ).
fof(f2826,plain,
( e0 = op(e3,e2)
| ~ spl130_346 ),
inference(avatar_component_clause,[],[f2824]) ).
fof(f2709,plain,
( e4 = op(e3,e2)
| ~ spl130_321 ),
inference(avatar_component_clause,[],[f2708]) ).
fof(f24768,plain,
( spl130_318
| ~ spl130_131
| ~ spl130_380 ),
inference(avatar_split_clause,[],[f24411,f4110,f1727,f2694]) ).
fof(f24411,plain,
( e4 = unit
| ~ spl130_131
| ~ spl130_380 ),
inference(forward_demodulation,[],[f1728,f4111]) ).
fof(f4111,plain,
( op(e0,e0) = unit
| ~ spl130_380 ),
inference(avatar_component_clause,[],[f4110]) ).
fof(f1728,plain,
( op(e0,e0) = e4
| ~ spl130_131 ),
inference(avatar_component_clause,[],[f1727]) ).
fof(f24406,plain,
( spl130_177
| ~ spl130_176
| ~ spl130_342
| ~ spl130_406 ),
inference(avatar_split_clause,[],[f24118,f9196,f2806,f1940,f1945]) ).
fof(f9196,plain,
( spl130_406
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_406])]) ).
fof(f24118,plain,
( e1 = unit
| ~ spl130_176
| ~ spl130_342
| ~ spl130_406 ),
inference(forward_demodulation,[],[f9198,f23689]) ).
fof(f9198,plain,
( e1 = op(e0,e1)
| ~ spl130_406 ),
inference(avatar_component_clause,[],[f9196]) ).
fof(f24041,plain,
( spl130_399
| ~ spl130_154
| ~ spl130_176 ),
inference(avatar_split_clause,[],[f22495,f1940,f1834,f8731]) ).
fof(f8731,plain,
( spl130_399
<=> unit = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_399])]) ).
fof(f1834,plain,
( spl130_154
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_154])]) ).
fof(f22495,plain,
( unit = op(unit,e2)
| ~ spl130_154
| ~ spl130_176 ),
inference(forward_demodulation,[],[f1836,f1941]) ).
fof(f1836,plain,
( e3 = op(e3,e2)
| ~ spl130_154 ),
inference(avatar_component_clause,[],[f1834]) ).
fof(f24016,plain,
( spl130_165
| ~ spl130_133
| ~ spl130_181
| ~ spl130_327
| ~ spl130_328
| ~ spl130_366
| ~ spl130_383 ),
inference(avatar_split_clause,[],[f24015,f4319,f3012,f2739,f2735,f1965,f1736,f1885]) ).
fof(f1736,plain,
( spl130_133
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_133])]) ).
fof(f2735,plain,
( spl130_327
<=> e4 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_327])]) ).
fof(f2739,plain,
( spl130_328
<=> e2 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_328])]) ).
fof(f3012,plain,
( spl130_366
<=> op(e1,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_366])]) ).
fof(f4319,plain,
( spl130_383
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_383])]) ).
fof(f24015,plain,
( e0 = e1
| ~ spl130_133
| ~ spl130_181
| ~ spl130_327
| ~ spl130_328
| ~ spl130_366
| ~ spl130_383 ),
inference(forward_demodulation,[],[f24014,f1737]) ).
fof(f1737,plain,
( e0 = op(e1,e1)
| ~ spl130_133 ),
inference(avatar_component_clause,[],[f1736]) ).
fof(f24014,plain,
( e1 = op(e1,e1)
| ~ spl130_181
| ~ spl130_327
| ~ spl130_328
| ~ spl130_366
| ~ spl130_383 ),
inference(forward_demodulation,[],[f4321,f23999]) ).
fof(f23999,plain,
( e1 = e2
| ~ spl130_181
| ~ spl130_327
| ~ spl130_328
| ~ spl130_366 ),
inference(forward_demodulation,[],[f23998,f1967]) ).
fof(f23998,plain,
( e2 = op(e1,unit)
| ~ spl130_327
| ~ spl130_328
| ~ spl130_366 ),
inference(forward_demodulation,[],[f2741,f23973]) ).
fof(f23973,plain,
( e4 = unit
| ~ spl130_327
| ~ spl130_366 ),
inference(forward_demodulation,[],[f2736,f3013]) ).
fof(f3013,plain,
( op(e1,e2) = unit
| ~ spl130_366 ),
inference(avatar_component_clause,[],[f3012]) ).
fof(f2736,plain,
( e4 = op(e1,e2)
| ~ spl130_327 ),
inference(avatar_component_clause,[],[f2735]) ).
fof(f2741,plain,
( e2 = op(e1,e4)
| ~ spl130_328 ),
inference(avatar_component_clause,[],[f2739]) ).
fof(f4321,plain,
( e2 = op(e2,e2)
| ~ spl130_383 ),
inference(avatar_component_clause,[],[f4319]) ).
fof(f23974,plain,
( spl130_166
| ~ spl130_128
| ~ spl130_381 ),
inference(avatar_split_clause,[],[f23946,f4311,f1713,f1890]) ).
fof(f1713,plain,
( spl130_128
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_128])]) ).
fof(f4311,plain,
( spl130_381
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_381])]) ).
fof(f23946,plain,
( e0 = e2
| ~ spl130_128
| ~ spl130_381 ),
inference(forward_demodulation,[],[f4313,f1715]) ).
fof(f1715,plain,
( e0 = op(e0,e2)
| ~ spl130_128 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f4313,plain,
( e2 = op(e0,e2)
| ~ spl130_381 ),
inference(avatar_component_clause,[],[f4311]) ).
fof(f23847,plain,
( spl130_168
| ~ spl130_128
| ~ spl130_330 ),
inference(avatar_split_clause,[],[f22642,f2750,f1713,f1900]) ).
fof(f2750,plain,
( spl130_330
<=> e4 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_330])]) ).
fof(f22642,plain,
( e0 = e4
| ~ spl130_128
| ~ spl130_330 ),
inference(superposition,[],[f1715,f2751]) ).
fof(f2751,plain,
( e4 = op(e0,e2)
| ~ spl130_330 ),
inference(avatar_component_clause,[],[f2750]) ).
fof(f23822,plain,
( spl130_319
| ~ spl130_127
| ~ spl130_380 ),
inference(avatar_split_clause,[],[f23811,f4110,f1709,f2698]) ).
fof(f23811,plain,
( e2 = unit
| ~ spl130_127
| ~ spl130_380 ),
inference(forward_demodulation,[],[f1710,f4111]) ).
fof(f1710,plain,
( op(e0,e0) = e2
| ~ spl130_127 ),
inference(avatar_component_clause,[],[f1709]) ).
fof(f23812,plain,
( spl130_175
| ~ spl130_128
| ~ spl130_388 ),
inference(avatar_split_clause,[],[f23810,f4893,f1713,f1935]) ).
fof(f4893,plain,
( spl130_388
<=> op(e0,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_388])]) ).
fof(f23810,plain,
( e0 = unit
| ~ spl130_128
| ~ spl130_388 ),
inference(forward_demodulation,[],[f1715,f4895]) ).
fof(f4895,plain,
( op(e0,e2) = unit
| ~ spl130_388 ),
inference(avatar_component_clause,[],[f4893]) ).
fof(f23761,plain,
( spl130_319
| ~ spl130_176
| ~ spl130_320
| ~ spl130_335 ),
inference(avatar_split_clause,[],[f23760,f2773,f2703,f1940,f2698]) ).
fof(f2703,plain,
( spl130_320
<=> e2 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_320])]) ).
fof(f23760,plain,
( e2 = unit
| ~ spl130_176
| ~ spl130_320
| ~ spl130_335 ),
inference(forward_demodulation,[],[f2704,f23700]) ).
fof(f2704,plain,
( e2 = op(e4,e0)
| ~ spl130_320 ),
inference(avatar_component_clause,[],[f2703]) ).
fof(f23757,plain,
( spl130_171
| spl130_168
| spl130_173
| spl130_318
| ~ spl130_134
| ~ spl130_142
| ~ spl130_176
| ~ spl130_178
| ~ spl130_335
| ~ spl130_380 ),
inference(avatar_split_clause,[],[f23706,f4110,f2773,f1950,f1940,f1779,f1740,f2694,f1925,f1900,f1915]) ).
fof(f1925,plain,
( spl130_173
<=> e2 = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_173])]) ).
fof(f23706,plain,
( e4 = unit
| e2 = e4
| e0 = e4
| e1 = e4
| ~ spl130_134
| ~ spl130_142
| ~ spl130_176
| ~ spl130_178
| ~ spl130_335
| ~ spl130_380 ),
inference(duplicate_literal_removal,[],[f23705]) ).
fof(f23705,plain,
( e4 = unit
| e2 = e4
| e0 = e4
| e4 = unit
| e1 = e4
| ~ spl130_134
| ~ spl130_142
| ~ spl130_176
| ~ spl130_178
| ~ spl130_335
| ~ spl130_380 ),
inference(forward_demodulation,[],[f23704,f4111]) ).
fof(f23704,plain,
( e2 = e4
| e0 = e4
| e4 = unit
| e1 = e4
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_142
| ~ spl130_176
| ~ spl130_178
| ~ spl130_335 ),
inference(forward_demodulation,[],[f23703,f1781]) ).
fof(f23703,plain,
( e0 = e4
| e4 = unit
| e1 = e4
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_335 ),
inference(forward_demodulation,[],[f23702,f1952]) ).
fof(f23702,plain,
( e4 = op(unit,e0)
| e4 = unit
| e1 = e4
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_176
| ~ spl130_335 ),
inference(forward_demodulation,[],[f23701,f1941]) ).
fof(f23701,plain,
( e4 = unit
| e1 = e4
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_176
| ~ spl130_335 ),
inference(forward_demodulation,[],[f6892,f1941]) ).
fof(f6892,plain,
( e3 = e4
| e1 = e4
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_335 ),
inference(forward_demodulation,[],[f3553,f2774]) ).
fof(f3553,plain,
( e1 = e4
| e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134 ),
inference(forward_demodulation,[],[f805,f1742]) ).
fof(f805,plain,
( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f3]) ).
fof(f23697,plain,
( spl130_177
| ~ spl130_134
| ~ spl130_176
| ~ spl130_180
| ~ spl130_323
| ~ spl130_335 ),
inference(avatar_split_clause,[],[f23693,f2773,f2717,f1960,f1940,f1740,f1945]) ).
fof(f1960,plain,
( spl130_180
<=> e1 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_180])]) ).
fof(f2717,plain,
( spl130_323
<=> e4 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_323])]) ).
fof(f23693,plain,
( e1 = unit
| ~ spl130_134
| ~ spl130_176
| ~ spl130_180
| ~ spl130_323
| ~ spl130_335 ),
inference(forward_demodulation,[],[f23692,f1941]) ).
fof(f23692,plain,
( e1 = e3
| ~ spl130_134
| ~ spl130_176
| ~ spl130_180
| ~ spl130_323
| ~ spl130_335 ),
inference(forward_demodulation,[],[f23691,f1742]) ).
fof(f23691,plain,
( e3 = op(e1,e0)
| ~ spl130_176
| ~ spl130_180
| ~ spl130_323
| ~ spl130_335 ),
inference(forward_demodulation,[],[f2774,f17595]) ).
fof(f17595,plain,
( e1 = e4
| ~ spl130_176
| ~ spl130_180
| ~ spl130_323 ),
inference(forward_demodulation,[],[f17587,f1962]) ).
fof(f1962,plain,
( e1 = op(unit,e1)
| ~ spl130_180 ),
inference(avatar_component_clause,[],[f1960]) ).
fof(f17587,plain,
( e4 = op(unit,e1)
| ~ spl130_176
| ~ spl130_323 ),
inference(superposition,[],[f2718,f1941]) ).
fof(f2718,plain,
( e4 = op(e3,e1)
| ~ spl130_323 ),
inference(avatar_component_clause,[],[f2717]) ).
fof(f23603,plain,
( spl130_177
| ~ spl130_131
| ~ spl130_176
| ~ spl130_180
| ~ spl130_323
| ~ spl130_380 ),
inference(avatar_split_clause,[],[f23602,f4110,f2717,f1960,f1940,f1727,f1945]) ).
fof(f23602,plain,
( e1 = unit
| ~ spl130_131
| ~ spl130_176
| ~ spl130_180
| ~ spl130_323
| ~ spl130_380 ),
inference(forward_demodulation,[],[f23601,f4111]) ).
fof(f23601,plain,
( op(e0,e0) = e1
| ~ spl130_131
| ~ spl130_176
| ~ spl130_180
| ~ spl130_323 ),
inference(forward_demodulation,[],[f1728,f17595]) ).
fof(f23370,plain,
( spl130_131
| spl130_171
| spl130_173
| spl130_168
| ~ spl130_134
| ~ spl130_142
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(avatar_split_clause,[],[f23317,f4999,f1950,f1940,f1779,f1740,f1900,f1925,f1915,f1727]) ).
fof(f23317,plain,
( e0 = e4
| e2 = e4
| e1 = e4
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_142
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(duplicate_literal_removal,[],[f23316]) ).
fof(f23316,plain,
( e0 = e4
| e0 = e4
| e2 = e4
| e1 = e4
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_142
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(forward_demodulation,[],[f23315,f1952]) ).
fof(f23315,plain,
( e4 = op(unit,e0)
| e0 = e4
| e2 = e4
| e1 = e4
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_142
| ~ spl130_176
| ~ spl130_393 ),
inference(forward_demodulation,[],[f23314,f1941]) ).
fof(f23314,plain,
( e0 = e4
| e2 = e4
| e1 = e4
| e4 = op(e3,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_142
| ~ spl130_393 ),
inference(forward_demodulation,[],[f17754,f5001]) ).
fof(f17754,plain,
( e2 = e4
| e1 = e4
| e4 = op(e4,e0)
| e4 = op(e3,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_142 ),
inference(forward_demodulation,[],[f3553,f1781]) ).
fof(f23309,plain,
( spl130_380
| ~ spl130_129
| ~ spl130_176 ),
inference(avatar_split_clause,[],[f23232,f1940,f1718,f4110]) ).
fof(f23232,plain,
( op(e0,e0) = unit
| ~ spl130_129
| ~ spl130_176 ),
inference(forward_demodulation,[],[f1719,f1941]) ).
fof(f1719,plain,
( op(e0,e0) = e3
| ~ spl130_129 ),
inference(avatar_component_clause,[],[f1718]) ).
fof(f23300,plain,
( spl130_166
| spl130_169
| spl130_319
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_325
| ~ spl130_333
| ~ spl130_380 ),
inference(avatar_split_clause,[],[f23236,f4110,f2763,f2726,f1950,f1940,f1740,f2698,f1905,f1890]) ).
fof(f1905,plain,
( spl130_169
<=> e1 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_169])]) ).
fof(f2726,plain,
( spl130_325
<=> e4 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_325])]) ).
fof(f23236,plain,
( e2 = unit
| e1 = e2
| e0 = e2
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_325
| ~ spl130_333
| ~ spl130_380 ),
inference(duplicate_literal_removal,[],[f23235]) ).
fof(f23235,plain,
( e2 = unit
| e1 = e2
| e0 = e2
| e2 = unit
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_325
| ~ spl130_333
| ~ spl130_380 ),
inference(forward_demodulation,[],[f23111,f4111]) ).
fof(f23111,plain,
( e1 = e2
| e0 = e2
| op(e0,e0) = e2
| e2 = unit
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_325
| ~ spl130_333 ),
inference(duplicate_literal_removal,[],[f23110]) ).
fof(f23110,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| op(e0,e0) = e2
| e2 = unit
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_325
| ~ spl130_333 ),
inference(forward_demodulation,[],[f23109,f2765]) ).
fof(f2765,plain,
( e1 = op(e0,e4)
| ~ spl130_333 ),
inference(avatar_component_clause,[],[f2763]) ).
fof(f23109,plain,
( e1 = e2
| e0 = e2
| op(e0,e0) = e2
| e2 = unit
| e2 = op(e0,e4)
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_325 ),
inference(forward_demodulation,[],[f23108,f1742]) ).
fof(f23108,plain,
( e2 = op(e1,e0)
| e0 = e2
| op(e0,e0) = e2
| e2 = unit
| e2 = op(e0,e4)
| ~ spl130_176
| ~ spl130_178
| ~ spl130_325 ),
inference(forward_demodulation,[],[f23107,f22940]) ).
fof(f22940,plain,
( e0 = e4
| ~ spl130_176
| ~ spl130_178
| ~ spl130_325 ),
inference(forward_demodulation,[],[f22939,f1952]) ).
fof(f22939,plain,
( e4 = op(unit,e0)
| ~ spl130_176
| ~ spl130_325 ),
inference(forward_demodulation,[],[f2727,f1941]) ).
fof(f2727,plain,
( e4 = op(e3,e0)
| ~ spl130_325 ),
inference(avatar_component_clause,[],[f2726]) ).
fof(f23107,plain,
( e0 = e2
| op(e0,e0) = e2
| e2 = unit
| e2 = op(e1,e4)
| e2 = op(e0,e4)
| ~ spl130_176
| ~ spl130_178
| ~ spl130_325 ),
inference(forward_demodulation,[],[f23106,f1952]) ).
fof(f23106,plain,
( e2 = op(unit,e0)
| op(e0,e0) = e2
| e2 = unit
| e2 = op(e1,e4)
| e2 = op(e0,e4)
| ~ spl130_176
| ~ spl130_178
| ~ spl130_325 ),
inference(forward_demodulation,[],[f23105,f1941]) ).
fof(f23105,plain,
( e2 = op(e3,e0)
| op(e0,e0) = e2
| e2 = unit
| e2 = op(e1,e4)
| e2 = op(e0,e4)
| ~ spl130_176
| ~ spl130_178
| ~ spl130_325 ),
inference(forward_demodulation,[],[f23104,f22940]) ).
fof(f23104,plain,
( op(e0,e0) = e2
| e2 = unit
| e2 = op(e3,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4)
| ~ spl130_176
| ~ spl130_178
| ~ spl130_325 ),
inference(forward_demodulation,[],[f20613,f22940]) ).
fof(f20613,plain,
( e2 = unit
| e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4)
| ~ spl130_176 ),
inference(forward_demodulation,[],[f1000,f1941]) ).
fof(f1000,plain,
( e2 = e3
| e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(forward_demodulation,[],[f841,f795]) ).
fof(f795,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f6]) ).
fof(f841,plain,
( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f23299,plain,
( ~ spl130_1
| spl130_351 ),
inference(avatar_split_clause,[],[f395,f2938,f1019]) ).
fof(f1019,plain,
( spl130_1
<=> sP125 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_1])]) ).
fof(f2938,plain,
( spl130_351
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_351])]) ).
fof(f395,plain,
( sP24
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ( sP24
& sP23
& sP22
& sP21
& sP20
& sP19
& sP18
& sP17
& sP16
& sP15
& sP14
& sP13
& sP12
& sP11
& sP10
& sP9
& sP8
& sP7
& sP6
& sP5
& sP4
& sP3
& sP2
& sP1
& sP0 )
| ~ sP125 ),
inference(nnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( sP24
& sP23
& sP22
& sP21
& sP20
& sP19
& sP18
& sP17
& sP16
& sP15
& sP14
& sP13
& sP12
& sP11
& sP10
& sP9
& sP8
& sP7
& sP6
& sP5
& sP4
& sP3
& sP2
& sP1
& sP0 )
| ~ sP125 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])]) ).
fof(f23295,plain,
( ~ spl130_1
| spl130_353 ),
inference(avatar_split_clause,[],[f394,f2947,f1019]) ).
fof(f2947,plain,
( spl130_353
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_353])]) ).
fof(f394,plain,
( sP23
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f23284,plain,
( spl130_166
| ~ spl130_142
| ~ spl130_391 ),
inference(avatar_split_clause,[],[f17427,f4991,f1779,f1890]) ).
fof(f4991,plain,
( spl130_391
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_391])]) ).
fof(f17427,plain,
( e0 = e2
| ~ spl130_142
| ~ spl130_391 ),
inference(superposition,[],[f4993,f1781]) ).
fof(f4993,plain,
( e0 = op(e2,e0)
| ~ spl130_391 ),
inference(avatar_component_clause,[],[f4991]) ).
fof(f23233,plain,
( spl130_166
| ~ spl130_320
| ~ spl130_393 ),
inference(avatar_split_clause,[],[f22809,f4999,f2703,f1890]) ).
fof(f22809,plain,
( e0 = e2
| ~ spl130_320
| ~ spl130_393 ),
inference(forward_demodulation,[],[f2704,f5001]) ).
fof(f23073,plain,
( spl130_419
| ~ spl130_142
| ~ spl130_176
| ~ spl130_191
| ~ spl130_334 ),
inference(avatar_split_clause,[],[f23048,f2768,f2016,f1940,f1779,f16721]) ).
fof(f16721,plain,
( spl130_419
<=> unit = op(unit,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_419])]) ).
fof(f2016,plain,
( spl130_191
<=> e2 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_191])]) ).
fof(f2768,plain,
( spl130_334
<=> e3 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_334])]) ).
fof(f23048,plain,
( unit = op(unit,e0)
| ~ spl130_142
| ~ spl130_176
| ~ spl130_191
| ~ spl130_334 ),
inference(forward_demodulation,[],[f1781,f22799]) ).
fof(f22799,plain,
( e2 = unit
| ~ spl130_176
| ~ spl130_191
| ~ spl130_334 ),
inference(forward_demodulation,[],[f3103,f1941]) ).
fof(f3103,plain,
( e2 = e3
| ~ spl130_191
| ~ spl130_334 ),
inference(superposition,[],[f2769,f2018]) ).
fof(f2018,plain,
( e2 = op(e4,e1)
| ~ spl130_191 ),
inference(avatar_component_clause,[],[f2016]) ).
fof(f2769,plain,
( e3 = op(e4,e1)
| ~ spl130_334 ),
inference(avatar_component_clause,[],[f2768]) ).
fof(f23039,plain,
( spl130_175
| spl130_165
| ~ spl130_176
| ~ spl130_178
| ~ spl130_185
| ~ spl130_191
| ~ spl130_325
| ~ spl130_334
| ~ spl130_407
| ~ spl130_420 ),
inference(avatar_split_clause,[],[f22984,f22624,f9200,f2768,f2726,f2016,f1985,f1950,f1940,f1885,f1935]) ).
fof(f1985,plain,
( spl130_185
<=> e3 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_185])]) ).
fof(f9200,plain,
( spl130_407
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_407])]) ).
fof(f22624,plain,
( spl130_420
<=> op(e2,e0) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_420])]) ).
fof(f22984,plain,
( e0 = e1
| e0 = unit
| ~ spl130_176
| ~ spl130_178
| ~ spl130_185
| ~ spl130_191
| ~ spl130_325
| ~ spl130_334
| ~ spl130_407
| ~ spl130_420 ),
inference(forward_demodulation,[],[f22983,f22940]) ).
fof(f22983,plain,
( e0 = unit
| e1 = e4
| ~ spl130_176
| ~ spl130_178
| ~ spl130_185
| ~ spl130_191
| ~ spl130_325
| ~ spl130_334
| ~ spl130_407
| ~ spl130_420 ),
inference(forward_demodulation,[],[f22839,f22940]) ).
fof(f22839,plain,
( e4 = unit
| e1 = e4
| ~ spl130_176
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_407
| ~ spl130_420 ),
inference(duplicate_literal_removal,[],[f22838]) ).
fof(f22838,plain,
( e4 = unit
| e1 = e4
| e4 = unit
| ~ spl130_176
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_407
| ~ spl130_420 ),
inference(forward_demodulation,[],[f22837,f22626]) ).
fof(f22626,plain,
( op(e2,e0) = unit
| ~ spl130_420 ),
inference(avatar_component_clause,[],[f22624]) ).
fof(f22837,plain,
( e1 = e4
| e4 = unit
| e4 = op(e2,e0)
| ~ spl130_176
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_407 ),
inference(forward_demodulation,[],[f22836,f9202]) ).
fof(f9202,plain,
( e1 = op(e2,e1)
| ~ spl130_407 ),
inference(avatar_component_clause,[],[f9200]) ).
fof(f22836,plain,
( e4 = unit
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| ~ spl130_176
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334 ),
inference(duplicate_literal_removal,[],[f22835]) ).
fof(f22835,plain,
( e4 = unit
| e4 = unit
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| ~ spl130_176
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334 ),
inference(forward_demodulation,[],[f22787,f1941]) ).
fof(f22787,plain,
( e4 = unit
| e3 = e4
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| ~ spl130_176
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334 ),
inference(forward_demodulation,[],[f22786,f20796]) ).
fof(f20796,plain,
( unit = op(unit,unit)
| ~ spl130_176
| ~ spl130_185 ),
inference(superposition,[],[f1987,f1941]) ).
fof(f1987,plain,
( e3 = op(e3,unit)
| ~ spl130_185 ),
inference(avatar_component_clause,[],[f1985]) ).
fof(f22786,plain,
( e4 = op(unit,unit)
| e3 = e4
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| ~ spl130_176
| ~ spl130_191
| ~ spl130_334 ),
inference(forward_demodulation,[],[f22707,f1941]) ).
fof(f22707,plain,
( e4 = op(e3,e3)
| e3 = e4
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| ~ spl130_191
| ~ spl130_334 ),
inference(duplicate_literal_removal,[],[f3155]) ).
fof(f3155,plain,
( e4 = op(e3,e3)
| e4 = op(e3,e3)
| e3 = e4
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| ~ spl130_191
| ~ spl130_334 ),
inference(forward_demodulation,[],[f3154,f3103]) ).
fof(f3154,plain,
( e4 = op(e3,e3)
| e3 = e4
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| ~ spl130_191
| ~ spl130_334 ),
inference(forward_demodulation,[],[f1006,f3103]) ).
fof(f1006,plain,
( e3 = e4
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) ),
inference(forward_demodulation,[],[f824,f795]) ).
fof(f824,plain,
( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f22967,plain,
( spl130_175
| spl130_165
| ~ spl130_128
| ~ spl130_176
| ~ spl130_185
| ~ spl130_191
| ~ spl130_330
| ~ spl130_334
| ~ spl130_407
| ~ spl130_420 ),
inference(avatar_split_clause,[],[f22938,f22624,f9200,f2768,f2750,f2016,f1985,f1940,f1713,f1885,f1935]) ).
fof(f22938,plain,
( e0 = e1
| e0 = unit
| ~ spl130_128
| ~ spl130_176
| ~ spl130_185
| ~ spl130_191
| ~ spl130_330
| ~ spl130_334
| ~ spl130_407
| ~ spl130_420 ),
inference(forward_demodulation,[],[f22937,f22642]) ).
fof(f22937,plain,
( e0 = unit
| e1 = e4
| ~ spl130_128
| ~ spl130_176
| ~ spl130_185
| ~ spl130_191
| ~ spl130_330
| ~ spl130_334
| ~ spl130_407
| ~ spl130_420 ),
inference(forward_demodulation,[],[f22839,f22642]) ).
fof(f22887,plain,
( spl130_175
| ~ spl130_176
| ~ spl130_191
| ~ spl130_320
| ~ spl130_334
| ~ spl130_393 ),
inference(avatar_split_clause,[],[f22810,f4999,f2768,f2703,f2016,f1940,f1935]) ).
fof(f22810,plain,
( e0 = unit
| ~ spl130_176
| ~ spl130_191
| ~ spl130_320
| ~ spl130_334
| ~ spl130_393 ),
inference(forward_demodulation,[],[f22809,f22799]) ).
fof(f22820,plain,
( spl130_175
| ~ spl130_128
| ~ spl130_330
| ~ spl130_364
| ~ spl130_370 ),
inference(avatar_split_clause,[],[f22727,f3032,f3002,f2750,f1713,f1935]) ).
fof(f3002,plain,
( spl130_364
<=> op(e1,e4) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_364])]) ).
fof(f3032,plain,
( spl130_370
<=> e4 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_370])]) ).
fof(f22727,plain,
( e0 = unit
| ~ spl130_128
| ~ spl130_330
| ~ spl130_364
| ~ spl130_370 ),
inference(forward_demodulation,[],[f22642,f22677]) ).
fof(f22677,plain,
( e4 = unit
| ~ spl130_364
| ~ spl130_370 ),
inference(superposition,[],[f3003,f3034]) ).
fof(f3034,plain,
( e4 = op(e1,e4)
| ~ spl130_370 ),
inference(avatar_component_clause,[],[f3032]) ).
fof(f3003,plain,
( op(e1,e4) = unit
| ~ spl130_364 ),
inference(avatar_component_clause,[],[f3002]) ).
fof(f22802,plain,
( spl130_169
| ~ spl130_134
| ~ spl130_347 ),
inference(avatar_split_clause,[],[f22759,f2829,f1740,f1905]) ).
fof(f2829,plain,
( spl130_347
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_347])]) ).
fof(f22759,plain,
( e1 = e2
| ~ spl130_134
| ~ spl130_347 ),
inference(forward_demodulation,[],[f2830,f1742]) ).
fof(f2830,plain,
( e2 = op(e1,e0)
| ~ spl130_347 ),
inference(avatar_component_clause,[],[f2829]) ).
fof(f22701,plain,
( spl130_318
| ~ spl130_284
| ~ spl130_420 ),
inference(avatar_split_clause,[],[f22634,f22624,f2513,f2694]) ).
fof(f2513,plain,
( spl130_284
<=> e4 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_284])]) ).
fof(f22634,plain,
( e4 = unit
| ~ spl130_284
| ~ spl130_420 ),
inference(superposition,[],[f2514,f22626]) ).
fof(f2514,plain,
( e4 = op(e2,e0)
| ~ spl130_284 ),
inference(avatar_component_clause,[],[f2513]) ).
fof(f22627,plain,
( spl130_175
| spl130_420
| spl130_177
| spl130_319
| ~ spl130_127
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(avatar_split_clause,[],[f22586,f4999,f1950,f1940,f1740,f1709,f2698,f1945,f22624,f1935]) ).
fof(f22586,plain,
( e2 = unit
| e1 = unit
| op(e2,e0) = unit
| e0 = unit
| ~ spl130_127
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(forward_demodulation,[],[f22356,f1710]) ).
fof(f22356,plain,
( op(e0,e0) = unit
| e1 = unit
| op(e2,e0) = unit
| e0 = unit
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(forward_demodulation,[],[f22355,f1941]) ).
fof(f22355,plain,
( e1 = unit
| op(e2,e0) = unit
| e0 = unit
| op(e0,e0) = e3
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(forward_demodulation,[],[f22354,f1941]) ).
fof(f22354,plain,
( e1 = e3
| op(e2,e0) = unit
| e0 = unit
| op(e0,e0) = e3
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(forward_demodulation,[],[f22353,f1742]) ).
fof(f22353,plain,
( op(e2,e0) = unit
| e0 = unit
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(forward_demodulation,[],[f22352,f1941]) ).
fof(f22352,plain,
( e0 = unit
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(duplicate_literal_removal,[],[f22351]) ).
fof(f22351,plain,
( e0 = unit
| e0 = unit
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(forward_demodulation,[],[f22350,f1952]) ).
fof(f22350,plain,
( unit = op(unit,e0)
| e0 = unit
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl130_176
| ~ spl130_393 ),
inference(forward_demodulation,[],[f22349,f1941]) ).
fof(f22349,plain,
( e0 = unit
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl130_176
| ~ spl130_393 ),
inference(forward_demodulation,[],[f22348,f1941]) ).
fof(f22348,plain,
( e0 = e3
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl130_393 ),
inference(forward_demodulation,[],[f803,f5001]) ).
fof(f22621,plain,
( spl130_284
| spl130_171
| spl130_168
| spl130_173
| ~ spl130_127
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(avatar_split_clause,[],[f22577,f4999,f1950,f1940,f1740,f1709,f1925,f1900,f1915,f2513]) ).
fof(f22577,plain,
( e2 = e4
| e0 = e4
| e1 = e4
| e4 = op(e2,e0)
| ~ spl130_127
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(forward_demodulation,[],[f22360,f1710]) ).
fof(f22360,plain,
( e0 = e4
| e1 = e4
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(duplicate_literal_removal,[],[f22359]) ).
fof(f22359,plain,
( e0 = e4
| e0 = e4
| e1 = e4
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_393 ),
inference(forward_demodulation,[],[f22358,f1952]) ).
fof(f22358,plain,
( e4 = op(unit,e0)
| e0 = e4
| e1 = e4
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_176
| ~ spl130_393 ),
inference(forward_demodulation,[],[f22357,f1941]) ).
fof(f22357,plain,
( e0 = e4
| e1 = e4
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_393 ),
inference(forward_demodulation,[],[f3553,f5001]) ).
fof(f22574,plain,
( spl130_393
| spl130_157
| spl130_165
| spl130_168
| spl130_175
| ~ spl130_164
| ~ spl130_176
| ~ spl130_334 ),
inference(avatar_split_clause,[],[f22467,f2768,f1940,f1880,f1935,f1900,f1885,f1848,f4999]) ).
fof(f22467,plain,
( e0 = unit
| e0 = e4
| e0 = e1
| e0 = op(e4,e4)
| e0 = op(e4,e0)
| ~ spl130_164
| ~ spl130_176
| ~ spl130_334 ),
inference(forward_demodulation,[],[f22002,f22144]) ).
fof(f22144,plain,
( op(e4,e1) = unit
| ~ spl130_176
| ~ spl130_334 ),
inference(forward_demodulation,[],[f2769,f1941]) ).
fof(f22573,plain,
( spl130_175
| spl130_364
| spl130_366
| spl130_177
| ~ spl130_134
| ~ spl130_176
| ~ spl130_181 ),
inference(avatar_split_clause,[],[f22480,f1965,f1940,f1740,f1945,f3012,f3002,f1935]) ).
fof(f22480,plain,
( e1 = unit
| op(e1,e2) = unit
| op(e1,e4) = unit
| e0 = unit
| ~ spl130_134
| ~ spl130_176
| ~ spl130_181 ),
inference(duplicate_literal_removal,[],[f22479]) ).
fof(f22479,plain,
( e1 = unit
| op(e1,e2) = unit
| e1 = unit
| op(e1,e4) = unit
| e0 = unit
| ~ spl130_134
| ~ spl130_176
| ~ spl130_181 ),
inference(forward_demodulation,[],[f22478,f1941]) ).
fof(f22478,plain,
( e1 = e3
| op(e1,e2) = unit
| e1 = unit
| op(e1,e4) = unit
| e0 = unit
| ~ spl130_134
| ~ spl130_176
| ~ spl130_181 ),
inference(forward_demodulation,[],[f22477,f1742]) ).
fof(f22477,plain,
( op(e1,e2) = unit
| e1 = unit
| op(e1,e4) = unit
| e0 = unit
| e3 = op(e1,e0)
| ~ spl130_176
| ~ spl130_181 ),
inference(forward_demodulation,[],[f22030,f1941]) ).
fof(f22030,plain,
( e1 = unit
| op(e1,e4) = unit
| e0 = unit
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl130_176
| ~ spl130_181 ),
inference(forward_demodulation,[],[f22029,f1967]) ).
fof(f22029,plain,
( unit = op(e1,unit)
| op(e1,e4) = unit
| e0 = unit
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl130_176 ),
inference(forward_demodulation,[],[f22028,f1941]) ).
fof(f22028,plain,
( op(e1,e4) = unit
| e0 = unit
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl130_176 ),
inference(forward_demodulation,[],[f20578,f1941]) ).
fof(f20578,plain,
( e0 = unit
| e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl130_176 ),
inference(forward_demodulation,[],[f1013,f1941]) ).
fof(f1013,plain,
( e0 = e3
| e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0) ),
inference(forward_demodulation,[],[f812,f996]) ).
fof(f996,plain,
e0 = op(e1,e1),
inference(forward_demodulation,[],[f793,f794]) ).
fof(f793,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f812,plain,
( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f22568,plain,
( spl130_382
| spl130_328
| spl130_166
| spl130_169
| ~ spl130_134
| ~ spl130_176
| ~ spl130_181 ),
inference(avatar_split_clause,[],[f22475,f1965,f1940,f1740,f1905,f1890,f2739,f4315]) ).
fof(f4315,plain,
( spl130_382
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_382])]) ).
fof(f22475,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e4)
| e2 = op(e1,e2)
| ~ spl130_134
| ~ spl130_176
| ~ spl130_181 ),
inference(duplicate_literal_removal,[],[f22474]) ).
fof(f22474,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e1,e4)
| e2 = op(e1,e2)
| ~ spl130_134
| ~ spl130_176
| ~ spl130_181 ),
inference(forward_demodulation,[],[f22070,f1742]) ).
fof(f22070,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e4)
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl130_176
| ~ spl130_181 ),
inference(forward_demodulation,[],[f22069,f1967]) ).
fof(f22069,plain,
( e2 = op(e1,unit)
| e0 = e2
| e2 = op(e1,e4)
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl130_176 ),
inference(forward_demodulation,[],[f1015,f1941]) ).
fof(f1015,plain,
( e0 = e2
| e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0) ),
inference(forward_demodulation,[],[f810,f996]) ).
fof(f810,plain,
( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f22566,plain,
( spl130_389
| spl130_175
| spl130_318
| spl130_319
| ~ spl130_127
| ~ spl130_130
| ~ spl130_176
| ~ spl130_330
| ~ spl130_332 ),
inference(avatar_split_clause,[],[f22523,f2759,f2750,f1940,f1722,f1709,f2698,f2694,f1935,f4905]) ).
fof(f4905,plain,
( spl130_389
<=> op(e0,e4) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_389])]) ).
fof(f2759,plain,
( spl130_332
<=> e4 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_332])]) ).
fof(f22523,plain,
( e2 = unit
| e4 = unit
| e0 = unit
| op(e0,e4) = unit
| ~ spl130_127
| ~ spl130_130
| ~ spl130_176
| ~ spl130_330
| ~ spl130_332 ),
inference(forward_demodulation,[],[f22522,f1710]) ).
fof(f22522,plain,
( op(e0,e0) = unit
| e4 = unit
| e0 = unit
| op(e0,e4) = unit
| ~ spl130_130
| ~ spl130_176
| ~ spl130_330
| ~ spl130_332 ),
inference(forward_demodulation,[],[f22521,f1941]) ).
fof(f22521,plain,
( e4 = unit
| e0 = unit
| op(e0,e4) = unit
| op(e0,e0) = e3
| ~ spl130_130
| ~ spl130_176
| ~ spl130_330
| ~ spl130_332 ),
inference(duplicate_literal_removal,[],[f22520]) ).
fof(f22520,plain,
( e4 = unit
| e4 = unit
| e0 = unit
| op(e0,e4) = unit
| op(e0,e0) = e3
| ~ spl130_130
| ~ spl130_176
| ~ spl130_330
| ~ spl130_332 ),
inference(forward_demodulation,[],[f22519,f1941]) ).
fof(f22519,plain,
( e3 = e4
| e4 = unit
| e0 = unit
| op(e0,e4) = unit
| op(e0,e0) = e3
| ~ spl130_130
| ~ spl130_176
| ~ spl130_330
| ~ spl130_332 ),
inference(forward_demodulation,[],[f22518,f2760]) ).
fof(f2760,plain,
( e4 = op(e0,e1)
| ~ spl130_332 ),
inference(avatar_component_clause,[],[f2759]) ).
fof(f22518,plain,
( e4 = unit
| e0 = unit
| op(e0,e4) = unit
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl130_130
| ~ spl130_176
| ~ spl130_330 ),
inference(forward_demodulation,[],[f22517,f1941]) ).
fof(f22517,plain,
( e3 = e4
| e0 = unit
| op(e0,e4) = unit
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl130_130
| ~ spl130_176
| ~ spl130_330 ),
inference(forward_demodulation,[],[f22516,f2751]) ).
fof(f22516,plain,
( e0 = unit
| op(e0,e4) = unit
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl130_130
| ~ spl130_176 ),
inference(forward_demodulation,[],[f22515,f1941]) ).
fof(f22515,plain,
( e0 = e3
| op(e0,e4) = unit
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl130_130
| ~ spl130_176 ),
inference(forward_demodulation,[],[f22514,f1724]) ).
fof(f22514,plain,
( op(e0,e4) = unit
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl130_176 ),
inference(forward_demodulation,[],[f802,f1941]) ).
fof(f802,plain,
( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f22554,plain,
( spl130_173
| spl130_318
| spl130_171
| spl130_168
| ~ spl130_130
| ~ spl130_146
| ~ spl130_176
| ~ spl130_181
| ~ spl130_185
| ~ spl130_373 ),
inference(avatar_split_clause,[],[f22548,f3053,f1985,f1965,f1940,f1797,f1722,f1900,f1915,f2694,f1925]) ).
fof(f1797,plain,
( spl130_146
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_146])]) ).
fof(f3053,plain,
( spl130_373
<=> e3 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_373])]) ).
fof(f22548,plain,
( e0 = e4
| e1 = e4
| e4 = unit
| e2 = e4
| ~ spl130_130
| ~ spl130_146
| ~ spl130_176
| ~ spl130_181
| ~ spl130_185
| ~ spl130_373 ),
inference(forward_demodulation,[],[f22547,f1724]) ).
fof(f22547,plain,
( e1 = e4
| e4 = unit
| e2 = e4
| e4 = op(e0,e3)
| ~ spl130_146
| ~ spl130_176
| ~ spl130_181
| ~ spl130_185
| ~ spl130_373 ),
inference(forward_demodulation,[],[f22546,f1967]) ).
fof(f22546,plain,
( e4 = op(e1,unit)
| e4 = unit
| e2 = e4
| e4 = op(e0,e3)
| ~ spl130_146
| ~ spl130_176
| ~ spl130_185
| ~ spl130_373 ),
inference(forward_demodulation,[],[f22545,f1941]) ).
fof(f22545,plain,
( e4 = unit
| e2 = e4
| e4 = op(e1,e3)
| e4 = op(e0,e3)
| ~ spl130_146
| ~ spl130_176
| ~ spl130_185
| ~ spl130_373 ),
inference(duplicate_literal_removal,[],[f22544]) ).
fof(f22544,plain,
( e4 = unit
| e4 = unit
| e2 = e4
| e4 = op(e1,e3)
| e4 = op(e0,e3)
| ~ spl130_146
| ~ spl130_176
| ~ spl130_185
| ~ spl130_373 ),
inference(forward_demodulation,[],[f22543,f20796]) ).
fof(f22543,plain,
( e4 = op(unit,unit)
| e4 = unit
| e2 = e4
| e4 = op(e1,e3)
| e4 = op(e0,e3)
| ~ spl130_146
| ~ spl130_176
| ~ spl130_373 ),
inference(forward_demodulation,[],[f22542,f1941]) ).
fof(f22542,plain,
( e4 = unit
| e2 = e4
| e4 = op(e3,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3)
| ~ spl130_146
| ~ spl130_176
| ~ spl130_373 ),
inference(forward_demodulation,[],[f13297,f1941]) ).
fof(f13297,plain,
( e2 = e4
| e3 = e4
| e4 = op(e3,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3)
| ~ spl130_146
| ~ spl130_373 ),
inference(forward_demodulation,[],[f12568,f1799]) ).
fof(f1799,plain,
( e2 = op(e2,e3)
| ~ spl130_146 ),
inference(avatar_component_clause,[],[f1797]) ).
fof(f12568,plain,
( e3 = e4
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3)
| ~ spl130_373 ),
inference(forward_demodulation,[],[f835,f3055]) ).
fof(f3055,plain,
( e3 = op(e4,e3)
| ~ spl130_373 ),
inference(avatar_component_clause,[],[f3053]) ).
fof(f835,plain,
( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f22537,plain,
( ~ spl130_183
| spl130_146
| ~ spl130_176 ),
inference(avatar_split_clause,[],[f3185,f1940,f1797,f1975]) ).
fof(f1975,plain,
( spl130_183
<=> e2 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_183])]) ).
fof(f3185,plain,
( e2 != op(e2,unit)
| spl130_146
| ~ spl130_176 ),
inference(superposition,[],[f1798,f1941]) ).
fof(f1798,plain,
( e2 != op(e2,e3)
| spl130_146 ),
inference(avatar_component_clause,[],[f1797]) ).
fof(f22536,plain,
( spl130_333
| spl130_165
| spl130_171
| spl130_169
| ~ spl130_127
| ~ spl130_130
| ~ spl130_330
| ~ spl130_332 ),
inference(avatar_split_clause,[],[f22513,f2759,f2750,f1722,f1709,f1905,f1915,f1885,f2763]) ).
fof(f22513,plain,
( e1 = e2
| e1 = e4
| e0 = e1
| e1 = op(e0,e4)
| ~ spl130_127
| ~ spl130_130
| ~ spl130_330
| ~ spl130_332 ),
inference(forward_demodulation,[],[f22512,f1710]) ).
fof(f22512,plain,
( e1 = e4
| e0 = e1
| e1 = op(e0,e4)
| op(e0,e0) = e1
| ~ spl130_130
| ~ spl130_330
| ~ spl130_332 ),
inference(duplicate_literal_removal,[],[f22511]) ).
fof(f22511,plain,
( e1 = e4
| e1 = e4
| e0 = e1
| e1 = op(e0,e4)
| op(e0,e0) = e1
| ~ spl130_130
| ~ spl130_330
| ~ spl130_332 ),
inference(forward_demodulation,[],[f22510,f2760]) ).
fof(f22510,plain,
( e1 = e4
| e0 = e1
| e1 = op(e0,e4)
| e1 = op(e0,e1)
| op(e0,e0) = e1
| ~ spl130_130
| ~ spl130_330 ),
inference(forward_demodulation,[],[f22509,f2751]) ).
fof(f22508,plain,
( spl130_125
| spl130_225
| spl130_165
| spl130_171
| ~ spl130_130
| ~ spl130_132
| ~ spl130_332 ),
inference(avatar_split_clause,[],[f22177,f2759,f1731,f1722,f1915,f1885,f2198,f1700]) ).
fof(f2198,plain,
( spl130_225
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_225])]) ).
fof(f22177,plain,
( e1 = e4
| e0 = e1
| e1 = op(e0,e2)
| op(e0,e0) = e1
| ~ spl130_130
| ~ spl130_132
| ~ spl130_332 ),
inference(forward_demodulation,[],[f22176,f2760]) ).
fof(f22176,plain,
( e0 = e1
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1
| ~ spl130_130
| ~ spl130_132 ),
inference(duplicate_literal_removal,[],[f22175]) ).
fof(f22175,plain,
( e0 = e1
| e0 = e1
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1
| ~ spl130_130
| ~ spl130_132 ),
inference(forward_demodulation,[],[f7340,f1724]) ).
fof(f7340,plain,
( e0 = e1
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1
| ~ spl130_132 ),
inference(forward_demodulation,[],[f798,f1733]) ).
fof(f22507,plain,
( spl130_175
| spl130_388
| spl130_318
| spl130_380
| ~ spl130_130
| ~ spl130_132
| ~ spl130_176
| ~ spl130_332 ),
inference(avatar_split_clause,[],[f22158,f2759,f1940,f1731,f1722,f4110,f2694,f4893,f1935]) ).
fof(f22158,plain,
( op(e0,e0) = unit
| e4 = unit
| op(e0,e2) = unit
| e0 = unit
| ~ spl130_130
| ~ spl130_132
| ~ spl130_176
| ~ spl130_332 ),
inference(forward_demodulation,[],[f22157,f1941]) ).
fof(f22157,plain,
( e4 = unit
| op(e0,e2) = unit
| e0 = unit
| op(e0,e0) = e3
| ~ spl130_130
| ~ spl130_132
| ~ spl130_176
| ~ spl130_332 ),
inference(forward_demodulation,[],[f22156,f1941]) ).
fof(f22156,plain,
( e3 = e4
| op(e0,e2) = unit
| e0 = unit
| op(e0,e0) = e3
| ~ spl130_130
| ~ spl130_132
| ~ spl130_176
| ~ spl130_332 ),
inference(forward_demodulation,[],[f22087,f2760]) ).
fof(f22087,plain,
( op(e0,e2) = unit
| e0 = unit
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl130_130
| ~ spl130_132
| ~ spl130_176 ),
inference(forward_demodulation,[],[f22086,f1941]) ).
fof(f22086,plain,
( e0 = unit
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl130_130
| ~ spl130_132
| ~ spl130_176 ),
inference(duplicate_literal_removal,[],[f22085]) ).
fof(f22085,plain,
( e0 = unit
| e0 = unit
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl130_130
| ~ spl130_132
| ~ spl130_176 ),
inference(forward_demodulation,[],[f22084,f1941]) ).
fof(f22084,plain,
( e0 = e3
| e0 = unit
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl130_130
| ~ spl130_132
| ~ spl130_176 ),
inference(forward_demodulation,[],[f22083,f1724]) ).
fof(f22083,plain,
( e0 = unit
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl130_132
| ~ spl130_176 ),
inference(forward_demodulation,[],[f22082,f1941]) ).
fof(f22082,plain,
( e0 = e3
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl130_132 ),
inference(forward_demodulation,[],[f802,f1733]) ).
fof(f22496,plain,
( spl130_379
| spl130_175
| spl130_177
| spl130_319
| ~ spl130_127
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_391 ),
inference(avatar_split_clause,[],[f22437,f4991,f1950,f1940,f1740,f1709,f2698,f1945,f1935,f4104]) ).
fof(f4104,plain,
( spl130_379
<=> op(e4,e0) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_379])]) ).
fof(f22437,plain,
( e2 = unit
| e1 = unit
| e0 = unit
| op(e4,e0) = unit
| ~ spl130_127
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_391 ),
inference(forward_demodulation,[],[f22436,f1710]) ).
fof(f22436,plain,
( op(e0,e0) = unit
| e1 = unit
| e0 = unit
| op(e4,e0) = unit
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_391 ),
inference(forward_demodulation,[],[f22435,f1941]) ).
fof(f22435,plain,
( e1 = unit
| e0 = unit
| op(e4,e0) = unit
| op(e0,e0) = e3
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_391 ),
inference(forward_demodulation,[],[f22434,f1941]) ).
fof(f22434,plain,
( e1 = e3
| e0 = unit
| op(e4,e0) = unit
| op(e0,e0) = e3
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_391 ),
inference(forward_demodulation,[],[f22433,f1742]) ).
fof(f22433,plain,
( e0 = unit
| op(e4,e0) = unit
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl130_176
| ~ spl130_178
| ~ spl130_391 ),
inference(duplicate_literal_removal,[],[f22432]) ).
fof(f22432,plain,
( e0 = unit
| op(e4,e0) = unit
| e0 = unit
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl130_176
| ~ spl130_178
| ~ spl130_391 ),
inference(forward_demodulation,[],[f22431,f1952]) ).
fof(f22431,plain,
( unit = op(unit,e0)
| op(e4,e0) = unit
| e0 = unit
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl130_176
| ~ spl130_391 ),
inference(forward_demodulation,[],[f22430,f1941]) ).
fof(f22430,plain,
( op(e4,e0) = unit
| e0 = unit
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl130_176
| ~ spl130_391 ),
inference(forward_demodulation,[],[f22401,f1941]) ).
fof(f22401,plain,
( e0 = unit
| e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl130_176
| ~ spl130_391 ),
inference(forward_demodulation,[],[f5066,f1941]) ).
fof(f5066,plain,
( e0 = e3
| e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl130_391 ),
inference(forward_demodulation,[],[f803,f4993]) ).
fof(f22469,plain,
( spl130_328
| spl130_166
| spl130_319
| spl130_169
| ~ spl130_134
| ~ spl130_176
| ~ spl130_181
| ~ spl130_337 ),
inference(avatar_split_clause,[],[f22184,f2782,f1965,f1940,f1740,f1905,f2698,f1890,f2739]) ).
fof(f2782,plain,
( spl130_337
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_337])]) ).
fof(f22184,plain,
( e1 = e2
| e2 = unit
| e0 = e2
| e2 = op(e1,e4)
| ~ spl130_134
| ~ spl130_176
| ~ spl130_181
| ~ spl130_337 ),
inference(duplicate_literal_removal,[],[f22183]) ).
fof(f22183,plain,
( e1 = e2
| e2 = unit
| e1 = e2
| e0 = e2
| e2 = op(e1,e4)
| ~ spl130_134
| ~ spl130_176
| ~ spl130_181
| ~ spl130_337 ),
inference(forward_demodulation,[],[f22071,f1742]) ).
fof(f22071,plain,
( e2 = unit
| e1 = e2
| e0 = e2
| e2 = op(e1,e4)
| e2 = op(e1,e0)
| ~ spl130_176
| ~ spl130_181
| ~ spl130_337 ),
inference(forward_demodulation,[],[f22070,f21067]) ).
fof(f21067,plain,
( op(e1,e2) = unit
| ~ spl130_176
| ~ spl130_337 ),
inference(forward_demodulation,[],[f2783,f1941]) ).
fof(f2783,plain,
( e3 = op(e1,e2)
| ~ spl130_337 ),
inference(avatar_component_clause,[],[f2782]) ).
fof(f22429,plain,
( spl130_177
| spl130_175
| spl130_380
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_391
| ~ spl130_393 ),
inference(avatar_split_clause,[],[f22391,f4999,f4991,f1950,f1940,f1740,f4110,f1935,f1945]) ).
fof(f22391,plain,
( op(e0,e0) = unit
| e0 = unit
| e1 = unit
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_391
| ~ spl130_393 ),
inference(forward_demodulation,[],[f22390,f1941]) ).
fof(f22390,plain,
( e0 = unit
| e1 = unit
| op(e0,e0) = e3
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_391
| ~ spl130_393 ),
inference(duplicate_literal_removal,[],[f22389]) ).
fof(f22389,plain,
( e0 = unit
| e0 = unit
| e1 = unit
| op(e0,e0) = e3
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_391
| ~ spl130_393 ),
inference(forward_demodulation,[],[f22388,f1952]) ).
fof(f22388,plain,
( unit = op(unit,e0)
| e0 = unit
| e1 = unit
| op(e0,e0) = e3
| ~ spl130_134
| ~ spl130_176
| ~ spl130_391
| ~ spl130_393 ),
inference(forward_demodulation,[],[f22387,f1941]) ).
fof(f22387,plain,
( e0 = unit
| e1 = unit
| e3 = op(e3,e0)
| op(e0,e0) = e3
| ~ spl130_134
| ~ spl130_176
| ~ spl130_391
| ~ spl130_393 ),
inference(duplicate_literal_removal,[],[f22386]) ).
fof(f22386,plain,
( e0 = unit
| e0 = unit
| e1 = unit
| e3 = op(e3,e0)
| op(e0,e0) = e3
| ~ spl130_134
| ~ spl130_176
| ~ spl130_391
| ~ spl130_393 ),
inference(forward_demodulation,[],[f22385,f1941]) ).
fof(f22385,plain,
( e0 = e3
| e0 = unit
| e1 = unit
| e3 = op(e3,e0)
| op(e0,e0) = e3
| ~ spl130_134
| ~ spl130_176
| ~ spl130_391
| ~ spl130_393 ),
inference(forward_demodulation,[],[f22384,f5001]) ).
fof(f22384,plain,
( e0 = unit
| e1 = unit
| e3 = op(e4,e0)
| e3 = op(e3,e0)
| op(e0,e0) = e3
| ~ spl130_134
| ~ spl130_176
| ~ spl130_391 ),
inference(forward_demodulation,[],[f17396,f1941]) ).
fof(f17396,plain,
( e1 = unit
| e0 = e3
| e3 = op(e4,e0)
| e3 = op(e3,e0)
| op(e0,e0) = e3
| ~ spl130_134
| ~ spl130_176
| ~ spl130_391 ),
inference(forward_demodulation,[],[f5067,f1941]) ).
fof(f5067,plain,
( e1 = e3
| e0 = e3
| e3 = op(e4,e0)
| e3 = op(e3,e0)
| op(e0,e0) = e3
| ~ spl130_134
| ~ spl130_391 ),
inference(forward_demodulation,[],[f5066,f1742]) ).
fof(f22327,plain,
( spl130_318
| spl130_168
| spl130_171
| spl130_173
| ~ spl130_141
| ~ spl130_142
| ~ spl130_176
| ~ spl130_183
| ~ spl130_407 ),
inference(avatar_split_clause,[],[f22228,f9200,f1975,f1940,f1779,f1775,f1925,f1915,f1900,f2694]) ).
fof(f1775,plain,
( spl130_141
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_141])]) ).
fof(f22228,plain,
( e2 = e4
| e1 = e4
| e0 = e4
| e4 = unit
| ~ spl130_141
| ~ spl130_142
| ~ spl130_176
| ~ spl130_183
| ~ spl130_407 ),
inference(duplicate_literal_removal,[],[f22227]) ).
fof(f22227,plain,
( e2 = e4
| e1 = e4
| e0 = e4
| e2 = e4
| e4 = unit
| ~ spl130_141
| ~ spl130_142
| ~ spl130_176
| ~ spl130_183
| ~ spl130_407 ),
inference(forward_demodulation,[],[f22225,f1781]) ).
fof(f22225,plain,
( e1 = e4
| e0 = e4
| e2 = e4
| e4 = unit
| e4 = op(e2,e0)
| ~ spl130_141
| ~ spl130_176
| ~ spl130_183
| ~ spl130_407 ),
inference(forward_demodulation,[],[f22224,f9202]) ).
fof(f22224,plain,
( e0 = e4
| e2 = e4
| e4 = unit
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| ~ spl130_141
| ~ spl130_176
| ~ spl130_183 ),
inference(forward_demodulation,[],[f22223,f1776]) ).
fof(f1776,plain,
( e0 = op(e2,e2)
| ~ spl130_141 ),
inference(avatar_component_clause,[],[f1775]) ).
fof(f22223,plain,
( e2 = e4
| e4 = unit
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| ~ spl130_176
| ~ spl130_183 ),
inference(forward_demodulation,[],[f22222,f1977]) ).
fof(f1977,plain,
( e2 = op(e2,unit)
| ~ spl130_183 ),
inference(avatar_component_clause,[],[f1975]) ).
fof(f22222,plain,
( e4 = op(e2,unit)
| e4 = unit
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| ~ spl130_176 ),
inference(forward_demodulation,[],[f22221,f1941]) ).
fof(f22221,plain,
( e4 = unit
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| ~ spl130_176 ),
inference(forward_demodulation,[],[f1006,f1941]) ).
fof(f22261,plain,
( ~ spl130_178
| ~ spl130_176
| spl130_392 ),
inference(avatar_split_clause,[],[f16402,f4995,f1940,f1950]) ).
fof(f4995,plain,
( spl130_392
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_392])]) ).
fof(f16402,plain,
( e0 != op(unit,e0)
| ~ spl130_176
| spl130_392 ),
inference(forward_demodulation,[],[f4996,f1941]) ).
fof(f4996,plain,
( e0 != op(e3,e0)
| spl130_392 ),
inference(avatar_component_clause,[],[f4995]) ).
fof(f22226,plain,
( spl130_318
| spl130_173
| spl130_171
| spl130_168
| ~ spl130_176
| ~ spl130_180
| ~ spl130_324
| ~ spl130_367
| ~ spl130_384
| ~ spl130_392 ),
inference(avatar_split_clause,[],[f22078,f4995,f4323,f3017,f2721,f1960,f1940,f1900,f1915,f1925,f2694]) ).
fof(f2721,plain,
( spl130_324
<=> e1 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_324])]) ).
fof(f3017,plain,
( spl130_367
<=> unit = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_367])]) ).
fof(f4323,plain,
( spl130_384
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_384])]) ).
fof(f22078,plain,
( e0 = e4
| e1 = e4
| e2 = e4
| e4 = unit
| ~ spl130_176
| ~ spl130_180
| ~ spl130_324
| ~ spl130_367
| ~ spl130_384
| ~ spl130_392 ),
inference(forward_demodulation,[],[f22077,f4997]) ).
fof(f4997,plain,
( e0 = op(e3,e0)
| ~ spl130_392 ),
inference(avatar_component_clause,[],[f4995]) ).
fof(f22077,plain,
( e1 = e4
| e2 = e4
| e4 = unit
| e4 = op(e3,e0)
| ~ spl130_176
| ~ spl130_180
| ~ spl130_324
| ~ spl130_367
| ~ spl130_384 ),
inference(duplicate_literal_removal,[],[f22076]) ).
fof(f22076,plain,
( e1 = e4
| e2 = e4
| e4 = unit
| e1 = e4
| e4 = op(e3,e0)
| ~ spl130_176
| ~ spl130_180
| ~ spl130_324
| ~ spl130_367
| ~ spl130_384 ),
inference(forward_demodulation,[],[f22075,f1962]) ).
fof(f22075,plain,
( e4 = op(unit,e1)
| e2 = e4
| e4 = unit
| e1 = e4
| e4 = op(e3,e0)
| ~ spl130_176
| ~ spl130_324
| ~ spl130_367
| ~ spl130_384 ),
inference(forward_demodulation,[],[f22074,f1941]) ).
fof(f22074,plain,
( e2 = e4
| e4 = unit
| e1 = e4
| e4 = op(e3,e1)
| e4 = op(e3,e0)
| ~ spl130_176
| ~ spl130_324
| ~ spl130_367
| ~ spl130_384 ),
inference(forward_demodulation,[],[f22073,f4325]) ).
fof(f4325,plain,
( e2 = op(e3,e2)
| ~ spl130_384 ),
inference(avatar_component_clause,[],[f4323]) ).
fof(f22073,plain,
( e4 = unit
| e1 = e4
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0)
| ~ spl130_176
| ~ spl130_324
| ~ spl130_367 ),
inference(forward_demodulation,[],[f22072,f3018]) ).
fof(f3018,plain,
( unit = op(unit,unit)
| ~ spl130_367 ),
inference(avatar_component_clause,[],[f3017]) ).
fof(f22072,plain,
( e4 = op(unit,unit)
| e1 = e4
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0)
| ~ spl130_176
| ~ spl130_324 ),
inference(forward_demodulation,[],[f19076,f1941]) ).
fof(f19076,plain,
( e1 = e4
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0)
| ~ spl130_324 ),
inference(forward_demodulation,[],[f834,f2723]) ).
fof(f2723,plain,
( e1 = op(e3,e4)
| ~ spl130_324 ),
inference(avatar_component_clause,[],[f2721]) ).
fof(f834,plain,
( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f22182,plain,
( spl130_319
| spl130_169
| spl130_166
| ~ spl130_130
| ~ spl130_176
| ~ spl130_181
| ~ spl130_350
| ~ spl130_367
| ~ spl130_373 ),
inference(avatar_split_clause,[],[f21929,f3053,f3017,f2846,f1965,f1940,f1722,f1890,f1905,f2698]) ).
fof(f2846,plain,
( spl130_350
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_350])]) ).
fof(f21929,plain,
( e0 = e2
| e1 = e2
| e2 = unit
| ~ spl130_130
| ~ spl130_176
| ~ spl130_181
| ~ spl130_350
| ~ spl130_367
| ~ spl130_373 ),
inference(duplicate_literal_removal,[],[f21928]) ).
fof(f21928,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = unit
| ~ spl130_130
| ~ spl130_176
| ~ spl130_181
| ~ spl130_350
| ~ spl130_367
| ~ spl130_373 ),
inference(forward_demodulation,[],[f21896,f1724]) ).
fof(f21896,plain,
( e1 = e2
| e0 = e2
| e2 = unit
| e2 = op(e0,e3)
| ~ spl130_176
| ~ spl130_181
| ~ spl130_350
| ~ spl130_367
| ~ spl130_373 ),
inference(forward_demodulation,[],[f21895,f1967]) ).
fof(f21895,plain,
( e2 = op(e1,unit)
| e0 = e2
| e2 = unit
| e2 = op(e0,e3)
| ~ spl130_176
| ~ spl130_350
| ~ spl130_367
| ~ spl130_373 ),
inference(forward_demodulation,[],[f21894,f1941]) ).
fof(f21894,plain,
( e0 = e2
| e2 = unit
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl130_176
| ~ spl130_350
| ~ spl130_367
| ~ spl130_373 ),
inference(forward_demodulation,[],[f21893,f2847]) ).
fof(f2847,plain,
( e0 = op(e2,e3)
| ~ spl130_350 ),
inference(avatar_component_clause,[],[f2846]) ).
fof(f21893,plain,
( e2 = unit
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl130_176
| ~ spl130_367
| ~ spl130_373 ),
inference(duplicate_literal_removal,[],[f21892]) ).
fof(f21892,plain,
( e2 = unit
| e2 = unit
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl130_176
| ~ spl130_367
| ~ spl130_373 ),
inference(forward_demodulation,[],[f21891,f3018]) ).
fof(f21891,plain,
( e2 = op(unit,unit)
| e2 = unit
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl130_176
| ~ spl130_373 ),
inference(forward_demodulation,[],[f21890,f1941]) ).
fof(f21890,plain,
( e2 = unit
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl130_176
| ~ spl130_373 ),
inference(forward_demodulation,[],[f21889,f16289]) ).
fof(f16289,plain,
( unit = op(e4,unit)
| ~ spl130_176
| ~ spl130_373 ),
inference(forward_demodulation,[],[f3055,f1941]) ).
fof(f21889,plain,
( e2 = op(e4,unit)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl130_176 ),
inference(forward_demodulation,[],[f831,f1941]) ).
fof(f831,plain,
( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f22143,plain,
( spl130_175
| ~ spl130_133
| ~ spl130_176
| ~ spl130_332
| ~ spl130_334
| ~ spl130_406 ),
inference(avatar_split_clause,[],[f22141,f9196,f2768,f2759,f1940,f1736,f1935]) ).
fof(f22141,plain,
( e0 = unit
| ~ spl130_133
| ~ spl130_176
| ~ spl130_332
| ~ spl130_334
| ~ spl130_406 ),
inference(forward_demodulation,[],[f22140,f1941]) ).
fof(f22140,plain,
( e0 = e3
| ~ spl130_133
| ~ spl130_332
| ~ spl130_334
| ~ spl130_406 ),
inference(forward_demodulation,[],[f22139,f1737]) ).
fof(f22139,plain,
( e3 = op(e1,e1)
| ~ spl130_332
| ~ spl130_334
| ~ spl130_406 ),
inference(forward_demodulation,[],[f2769,f22098]) ).
fof(f22098,plain,
( e1 = e4
| ~ spl130_332
| ~ spl130_406 ),
inference(forward_demodulation,[],[f2760,f9198]) ).
fof(f22113,plain,
( spl130_362
| ~ spl130_152
| ~ spl130_176 ),
inference(avatar_split_clause,[],[f22105,f1940,f1825,f2992]) ).
fof(f2992,plain,
( spl130_362
<=> unit = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_362])]) ).
fof(f1825,plain,
( spl130_152
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_152])]) ).
fof(f22105,plain,
( unit = op(unit,e1)
| ~ spl130_152
| ~ spl130_176 ),
inference(forward_demodulation,[],[f1827,f1941]) ).
fof(f1827,plain,
( e3 = op(e3,e1)
| ~ spl130_152 ),
inference(avatar_component_clause,[],[f1825]) ).
fof(f21918,plain,
( spl130_166
| spl130_169
| spl130_319
| ~ spl130_134
| ~ spl130_176
| ~ spl130_181
| ~ spl130_332
| ~ spl130_337
| ~ spl130_342 ),
inference(avatar_split_clause,[],[f21678,f2806,f2782,f2759,f1965,f1940,f1740,f2698,f1905,f1890]) ).
fof(f21678,plain,
( e2 = unit
| e1 = e2
| e0 = e2
| ~ spl130_134
| ~ spl130_176
| ~ spl130_181
| ~ spl130_332
| ~ spl130_337
| ~ spl130_342 ),
inference(forward_demodulation,[],[f20956,f21067]) ).
fof(f20956,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e2)
| ~ spl130_134
| ~ spl130_176
| ~ spl130_181
| ~ spl130_332
| ~ spl130_342 ),
inference(duplicate_literal_removal,[],[f20955]) ).
fof(f20955,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e1,e2)
| ~ spl130_134
| ~ spl130_176
| ~ spl130_181
| ~ spl130_332
| ~ spl130_342 ),
inference(forward_demodulation,[],[f20954,f1742]) ).
fof(f20954,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl130_176
| ~ spl130_181
| ~ spl130_332
| ~ spl130_342 ),
inference(duplicate_literal_removal,[],[f20953]) ).
fof(f20953,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl130_176
| ~ spl130_181
| ~ spl130_332
| ~ spl130_342 ),
inference(forward_demodulation,[],[f20952,f1967]) ).
fof(f20952,plain,
( e2 = op(e1,unit)
| e1 = e2
| e0 = e2
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl130_176
| ~ spl130_181
| ~ spl130_332
| ~ spl130_342 ),
inference(forward_demodulation,[],[f20951,f1941]) ).
fof(f20951,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl130_176
| ~ spl130_181
| ~ spl130_332
| ~ spl130_342 ),
inference(forward_demodulation,[],[f20950,f1967]) ).
fof(f20950,plain,
( e2 = op(e1,unit)
| e0 = e2
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl130_176
| ~ spl130_332
| ~ spl130_342 ),
inference(forward_demodulation,[],[f1015,f20738]) ).
fof(f20738,plain,
( e4 = unit
| ~ spl130_176
| ~ spl130_332
| ~ spl130_342 ),
inference(forward_demodulation,[],[f19081,f1941]) ).
fof(f19081,plain,
( e3 = e4
| ~ spl130_332
| ~ spl130_342 ),
inference(forward_demodulation,[],[f2760,f2807]) ).
fof(f21681,plain,
( spl130_169
| spl130_166
| spl130_319
| ~ spl130_132
| ~ spl130_176
| ~ spl130_324
| ~ spl130_332
| ~ spl130_342
| ~ spl130_358
| ~ spl130_370 ),
inference(avatar_split_clause,[],[f21649,f3032,f2972,f2806,f2759,f2721,f1940,f1731,f2698,f1890,f1905]) ).
fof(f2972,plain,
( spl130_358
<=> op(e3,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_358])]) ).
fof(f21649,plain,
( e2 = unit
| e0 = e2
| e1 = e2
| ~ spl130_132
| ~ spl130_176
| ~ spl130_324
| ~ spl130_332
| ~ spl130_342
| ~ spl130_358
| ~ spl130_370 ),
inference(duplicate_literal_removal,[],[f21648]) ).
fof(f21648,plain,
( e2 = unit
| e2 = unit
| e0 = e2
| e1 = e2
| ~ spl130_132
| ~ spl130_176
| ~ spl130_324
| ~ spl130_332
| ~ spl130_342
| ~ spl130_358
| ~ spl130_370 ),
inference(forward_demodulation,[],[f21647,f20843]) ).
fof(f20843,plain,
( unit = op(unit,unit)
| ~ spl130_176
| ~ spl130_358 ),
inference(superposition,[],[f2973,f1941]) ).
fof(f2973,plain,
( op(e3,e3) = unit
| ~ spl130_358 ),
inference(avatar_component_clause,[],[f2972]) ).
fof(f21647,plain,
( e2 = op(unit,unit)
| e2 = unit
| e0 = e2
| e1 = e2
| ~ spl130_132
| ~ spl130_176
| ~ spl130_324
| ~ spl130_332
| ~ spl130_342
| ~ spl130_370 ),
inference(forward_demodulation,[],[f21646,f20738]) ).
fof(f21646,plain,
( e2 = unit
| e0 = e2
| e1 = e2
| e2 = op(e4,e4)
| ~ spl130_132
| ~ spl130_176
| ~ spl130_324
| ~ spl130_332
| ~ spl130_342
| ~ spl130_370 ),
inference(duplicate_literal_removal,[],[f21645]) ).
fof(f21645,plain,
( e2 = unit
| e2 = unit
| e0 = e2
| e1 = e2
| e2 = op(e4,e4)
| ~ spl130_132
| ~ spl130_176
| ~ spl130_324
| ~ spl130_332
| ~ spl130_342
| ~ spl130_370 ),
inference(forward_demodulation,[],[f21644,f1941]) ).
fof(f21644,plain,
( e2 = unit
| e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e4,e4)
| ~ spl130_132
| ~ spl130_176
| ~ spl130_324
| ~ spl130_332
| ~ spl130_342
| ~ spl130_370 ),
inference(forward_demodulation,[],[f7476,f20738]) ).
fof(f7476,plain,
( e0 = e2
| e2 = e4
| e1 = e2
| e2 = e3
| e2 = op(e4,e4)
| ~ spl130_132
| ~ spl130_324
| ~ spl130_370 ),
inference(forward_demodulation,[],[f7475,f1733]) ).
fof(f7475,plain,
( e2 = e4
| e1 = e2
| e2 = e3
| e2 = op(e4,e4)
| e2 = op(e0,e4)
| ~ spl130_324
| ~ spl130_370 ),
inference(forward_demodulation,[],[f6831,f3034]) ).
fof(f6831,plain,
( e1 = e2
| e2 = e3
| e2 = op(e4,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4)
| ~ spl130_324 ),
inference(forward_demodulation,[],[f1000,f2723]) ).
fof(f21601,plain,
( spl130_165
| spl130_177
| spl130_125
| ~ spl130_132
| ~ spl130_176
| ~ spl130_179
| ~ spl130_180
| ~ spl130_191
| ~ spl130_330
| ~ spl130_332
| ~ spl130_342 ),
inference(avatar_split_clause,[],[f21345,f2806,f2759,f2750,f2016,f1960,f1955,f1940,f1731,f1700,f1945,f1885]) ).
fof(f21345,plain,
( op(e0,e0) = e1
| e1 = unit
| e0 = e1
| ~ spl130_132
| ~ spl130_176
| ~ spl130_179
| ~ spl130_180
| ~ spl130_191
| ~ spl130_330
| ~ spl130_332
| ~ spl130_342 ),
inference(forward_demodulation,[],[f21344,f21289]) ).
fof(f21289,plain,
( e1 = e2
| ~ spl130_176
| ~ spl130_180
| ~ spl130_191
| ~ spl130_332
| ~ spl130_342 ),
inference(forward_demodulation,[],[f21288,f1962]) ).
fof(f21288,plain,
( e2 = op(unit,e1)
| ~ spl130_176
| ~ spl130_191
| ~ spl130_332
| ~ spl130_342 ),
inference(forward_demodulation,[],[f2018,f20738]) ).
fof(f21344,plain,
( e1 = unit
| e0 = e1
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_176
| ~ spl130_179
| ~ spl130_180
| ~ spl130_191
| ~ spl130_330
| ~ spl130_332
| ~ spl130_342 ),
inference(duplicate_literal_removal,[],[f21343]) ).
fof(f21343,plain,
( e1 = unit
| e1 = unit
| e0 = e1
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_176
| ~ spl130_179
| ~ spl130_180
| ~ spl130_191
| ~ spl130_330
| ~ spl130_332
| ~ spl130_342 ),
inference(forward_demodulation,[],[f21342,f21289]) ).
fof(f21342,plain,
( e2 = unit
| e1 = unit
| e0 = e1
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_176
| ~ spl130_179
| ~ spl130_180
| ~ spl130_191
| ~ spl130_330
| ~ spl130_332
| ~ spl130_342 ),
inference(forward_demodulation,[],[f21341,f1941]) ).
fof(f21341,plain,
( e2 = e3
| e1 = unit
| e0 = e1
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_176
| ~ spl130_179
| ~ spl130_180
| ~ spl130_191
| ~ spl130_330
| ~ spl130_332
| ~ spl130_342 ),
inference(forward_demodulation,[],[f21340,f2807]) ).
fof(f21340,plain,
( e1 = unit
| e0 = e1
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_176
| ~ spl130_179
| ~ spl130_180
| ~ spl130_191
| ~ spl130_330
| ~ spl130_332
| ~ spl130_342 ),
inference(forward_demodulation,[],[f21339,f21289]) ).
fof(f21339,plain,
( e2 = unit
| e0 = e1
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_176
| ~ spl130_179
| ~ spl130_180
| ~ spl130_191
| ~ spl130_330
| ~ spl130_332
| ~ spl130_342 ),
inference(forward_demodulation,[],[f21338,f20947]) ).
fof(f20947,plain,
( op(e0,e2) = unit
| ~ spl130_176
| ~ spl130_330
| ~ spl130_332
| ~ spl130_342 ),
inference(forward_demodulation,[],[f2751,f20738]) ).
fof(f21338,plain,
( e0 = e1
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_176
| ~ spl130_179
| ~ spl130_180
| ~ spl130_191
| ~ spl130_332
| ~ spl130_342 ),
inference(forward_demodulation,[],[f19655,f21289]) ).
fof(f19655,plain,
( e0 = e2
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_176
| ~ spl130_179 ),
inference(duplicate_literal_removal,[],[f16763]) ).
fof(f16763,plain,
( e0 = e2
| e0 = e2
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_176
| ~ spl130_179 ),
inference(forward_demodulation,[],[f16762,f1957]) ).
fof(f16762,plain,
( e2 = op(e0,unit)
| e0 = e2
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_176 ),
inference(forward_demodulation,[],[f7247,f1941]) ).
fof(f7247,plain,
( e0 = e2
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132 ),
inference(forward_demodulation,[],[f800,f1733]) ).
fof(f21484,plain,
( spl130_381
| spl130_319
| spl130_166
| ~ spl130_129
| ~ spl130_176
| ~ spl130_179
| ~ spl130_332
| ~ spl130_342 ),
inference(avatar_split_clause,[],[f20929,f2806,f2759,f1955,f1940,f1718,f1890,f2698,f4311]) ).
fof(f20929,plain,
( e0 = e2
| e2 = unit
| e2 = op(e0,e2)
| ~ spl130_129
| ~ spl130_176
| ~ spl130_179
| ~ spl130_332
| ~ spl130_342 ),
inference(duplicate_literal_removal,[],[f20928]) ).
fof(f20928,plain,
( e0 = e2
| e2 = unit
| e0 = e2
| e2 = op(e0,e2)
| ~ spl130_129
| ~ spl130_176
| ~ spl130_179
| ~ spl130_332
| ~ spl130_342 ),
inference(forward_demodulation,[],[f20927,f1957]) ).
fof(f20927,plain,
( e2 = op(e0,unit)
| e2 = unit
| e0 = e2
| e2 = op(e0,e2)
| ~ spl130_129
| ~ spl130_176
| ~ spl130_179
| ~ spl130_332
| ~ spl130_342 ),
inference(forward_demodulation,[],[f20476,f20738]) ).
fof(f20476,plain,
( e2 = unit
| e0 = e2
| e2 = op(e0,e4)
| e2 = op(e0,e2)
| ~ spl130_129
| ~ spl130_176
| ~ spl130_179
| ~ spl130_342 ),
inference(duplicate_literal_removal,[],[f20475]) ).
fof(f20475,plain,
( e2 = unit
| e2 = unit
| e0 = e2
| e2 = op(e0,e4)
| e2 = op(e0,e2)
| ~ spl130_129
| ~ spl130_176
| ~ spl130_179
| ~ spl130_342 ),
inference(forward_demodulation,[],[f20474,f1941]) ).
fof(f20474,plain,
( e2 = e3
| e2 = unit
| e0 = e2
| e2 = op(e0,e4)
| e2 = op(e0,e2)
| ~ spl130_129
| ~ spl130_176
| ~ spl130_179
| ~ spl130_342 ),
inference(forward_demodulation,[],[f20473,f1719]) ).
fof(f20473,plain,
( e2 = unit
| e0 = e2
| e2 = op(e0,e4)
| e2 = op(e0,e2)
| op(e0,e0) = e2
| ~ spl130_176
| ~ spl130_179
| ~ spl130_342 ),
inference(forward_demodulation,[],[f20472,f1941]) ).
fof(f20472,plain,
( e2 = e3
| e0 = e2
| e2 = op(e0,e4)
| e2 = op(e0,e2)
| op(e0,e0) = e2
| ~ spl130_176
| ~ spl130_179
| ~ spl130_342 ),
inference(forward_demodulation,[],[f20173,f2807]) ).
fof(f20173,plain,
( e0 = e2
| e2 = op(e0,e4)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_176
| ~ spl130_179 ),
inference(forward_demodulation,[],[f17184,f1957]) ).
fof(f17184,plain,
( e2 = op(e0,unit)
| e2 = op(e0,e4)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_176 ),
inference(forward_demodulation,[],[f800,f1941]) ).
fof(f21326,plain,
( ~ spl130_179
| spl130_132
| ~ spl130_176
| ~ spl130_332
| ~ spl130_342 ),
inference(avatar_split_clause,[],[f20781,f2806,f2759,f1940,f1731,f1955]) ).
fof(f20781,plain,
( e0 != op(e0,unit)
| spl130_132
| ~ spl130_176
| ~ spl130_332
| ~ spl130_342 ),
inference(forward_demodulation,[],[f1732,f20738]) ).
fof(f1732,plain,
( e0 != op(e0,e4)
| spl130_132 ),
inference(avatar_component_clause,[],[f1731]) ).
fof(f20916,plain,
( spl130_319
| ~ spl130_176
| ~ spl130_181
| ~ spl130_191
| ~ spl130_373
| ~ spl130_397 ),
inference(avatar_split_clause,[],[f20607,f5870,f3053,f2016,f1965,f1940,f2698]) ).
fof(f5870,plain,
( spl130_397
<=> unit = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_397])]) ).
fof(f20607,plain,
( e2 = unit
| ~ spl130_176
| ~ spl130_181
| ~ spl130_191
| ~ spl130_373
| ~ spl130_397 ),
inference(forward_demodulation,[],[f19956,f16289]) ).
fof(f19956,plain,
( e2 = op(e4,unit)
| ~ spl130_181
| ~ spl130_191
| ~ spl130_397 ),
inference(forward_demodulation,[],[f2018,f8843]) ).
fof(f8843,plain,
( e1 = unit
| ~ spl130_181
| ~ spl130_397 ),
inference(superposition,[],[f5872,f1967]) ).
fof(f5872,plain,
( unit = op(e1,unit)
| ~ spl130_397 ),
inference(avatar_component_clause,[],[f5870]) ).
fof(f20780,plain,
( spl130_375
| ~ spl130_132
| ~ spl130_176
| ~ spl130_181
| ~ spl130_191
| ~ spl130_346
| ~ spl130_373
| ~ spl130_397 ),
inference(avatar_split_clause,[],[f20693,f5870,f3053,f2824,f2016,f1965,f1940,f1731,f3178]) ).
fof(f3178,plain,
( spl130_375
<=> unit = op(unit,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_375])]) ).
fof(f20693,plain,
( unit = op(unit,e4)
| ~ spl130_132
| ~ spl130_176
| ~ spl130_181
| ~ spl130_191
| ~ spl130_346
| ~ spl130_373
| ~ spl130_397 ),
inference(forward_demodulation,[],[f1733,f20687]) ).
fof(f20687,plain,
( e0 = unit
| ~ spl130_176
| ~ spl130_181
| ~ spl130_191
| ~ spl130_346
| ~ spl130_373
| ~ spl130_397 ),
inference(forward_demodulation,[],[f20686,f19696]) ).
fof(f19696,plain,
( unit = op(unit,unit)
| ~ spl130_181
| ~ spl130_397 ),
inference(forward_demodulation,[],[f5872,f8843]) ).
fof(f20686,plain,
( e0 = op(unit,unit)
| ~ spl130_176
| ~ spl130_181
| ~ spl130_191
| ~ spl130_346
| ~ spl130_373
| ~ spl130_397 ),
inference(forward_demodulation,[],[f20685,f1941]) ).
fof(f20685,plain,
( e0 = op(e3,unit)
| ~ spl130_176
| ~ spl130_181
| ~ spl130_191
| ~ spl130_346
| ~ spl130_373
| ~ spl130_397 ),
inference(forward_demodulation,[],[f2826,f20607]) ).
fof(f20778,plain,
( ~ spl130_375
| spl130_156
| ~ spl130_176 ),
inference(avatar_split_clause,[],[f3169,f1940,f1843,f3178]) ).
fof(f1843,plain,
( spl130_156
<=> e3 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_156])]) ).
fof(f3169,plain,
( unit != op(unit,e4)
| spl130_156
| ~ spl130_176 ),
inference(forward_demodulation,[],[f1844,f1941]) ).
fof(f1844,plain,
( e3 != op(e3,e4)
| spl130_156 ),
inference(avatar_component_clause,[],[f1843]) ).
fof(f20413,plain,
( spl130_174
| ~ spl130_330
| ~ spl130_340 ),
inference(avatar_split_clause,[],[f19435,f2797,f2750,f1930]) ).
fof(f1930,plain,
( spl130_174
<=> e3 = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_174])]) ).
fof(f19435,plain,
( e3 = e4
| ~ spl130_330
| ~ spl130_340 ),
inference(forward_demodulation,[],[f2751,f2798]) ).
fof(f20385,plain,
( ~ spl130_62
| spl130_141
| ~ spl130_142 ),
inference(avatar_split_clause,[],[f17743,f1779,f1775,f1345]) ).
fof(f1345,plain,
( spl130_62
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_62])]) ).
fof(f17743,plain,
( e0 = op(e2,e2)
| ~ sP60
| ~ spl130_142 ),
inference(trivial_inequality_removal,[],[f17742]) ).
fof(f17742,plain,
( e2 != e2
| e0 = op(e2,e2)
| ~ sP60
| ~ spl130_142 ),
inference(forward_demodulation,[],[f524,f1781]) ).
fof(f524,plain,
( e0 = op(e2,e2)
| e2 != op(e2,e0)
| ~ sP60 ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
( ( e2 != unit
& e0 = op(e2,e2) )
| e2 != op(e2,e0)
| ~ sP60 ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e2 != unit
& e0 = op(e2,e2) )
| e2 != op(e2,e0)
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f20380,plain,
( ~ spl130_31
| spl130_129
| ~ spl130_130 ),
inference(avatar_split_clause,[],[f17740,f1722,f1718,f1171]) ).
fof(f1171,plain,
( spl130_31
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_31])]) ).
fof(f17740,plain,
( op(e0,e0) = e3
| ~ sP3
| ~ spl130_130 ),
inference(trivial_inequality_removal,[],[f17739]) ).
fof(f17739,plain,
( e0 != e0
| op(e0,e0) = e3
| ~ sP3
| ~ spl130_130 ),
inference(forward_demodulation,[],[f638,f1724]) ).
fof(f638,plain,
( op(e0,e0) = e3
| e0 != op(e0,e3)
| ~ sP3 ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
( ( e0 != unit
& op(e0,e0) = e3 )
| e0 != op(e0,e3)
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( e0 != unit
& op(e0,e0) = e3 )
| e0 != op(e0,e3)
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f20376,plain,
( ~ spl130_318
| spl130_155
| ~ spl130_358 ),
inference(avatar_split_clause,[],[f17675,f2972,f1839,f2694]) ).
fof(f1839,plain,
( spl130_155
<=> e4 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_155])]) ).
fof(f17675,plain,
( e4 != unit
| spl130_155
| ~ spl130_358 ),
inference(superposition,[],[f1841,f2973]) ).
fof(f1841,plain,
( e4 != op(e3,e3)
| spl130_155 ),
inference(avatar_component_clause,[],[f1839]) ).
fof(f19646,plain,
( ~ spl130_181
| spl130_140
| ~ spl130_186
| ~ spl130_375 ),
inference(avatar_split_clause,[],[f6402,f3178,f1990,f1769,f1965]) ).
fof(f1769,plain,
( spl130_140
<=> e1 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_140])]) ).
fof(f1990,plain,
( spl130_186
<=> e4 = op(unit,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_186])]) ).
fof(f6402,plain,
( e1 != op(e1,unit)
| spl130_140
| ~ spl130_186
| ~ spl130_375 ),
inference(forward_demodulation,[],[f1770,f5395]) ).
fof(f5395,plain,
( e4 = unit
| ~ spl130_186
| ~ spl130_375 ),
inference(superposition,[],[f3179,f1992]) ).
fof(f1992,plain,
( e4 = op(unit,e4)
| ~ spl130_186 ),
inference(avatar_component_clause,[],[f1990]) ).
fof(f3179,plain,
( unit = op(unit,e4)
| ~ spl130_375 ),
inference(avatar_component_clause,[],[f3178]) ).
fof(f1770,plain,
( e1 != op(e1,e4)
| spl130_140 ),
inference(avatar_component_clause,[],[f1769]) ).
fof(f19443,plain,
( spl130_167
| ~ spl130_128
| ~ spl130_340 ),
inference(avatar_split_clause,[],[f17627,f2797,f1713,f1895]) ).
fof(f1895,plain,
( spl130_167
<=> e0 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_167])]) ).
fof(f17627,plain,
( e0 = e3
| ~ spl130_128
| ~ spl130_340 ),
inference(superposition,[],[f2798,f1715]) ).
fof(f19442,plain,
( ~ spl130_78
| spl130_175
| ~ spl130_134
| ~ spl130_185
| ~ spl130_358
| ~ spl130_398 ),
inference(avatar_split_clause,[],[f15578,f5876,f2972,f1985,f1740,f1935,f1437]) ).
fof(f1437,plain,
( spl130_78
<=> sP90 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_78])]) ).
fof(f5876,plain,
( spl130_398
<=> e1 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_398])]) ).
fof(f15578,plain,
( e0 = unit
| ~ sP90
| ~ spl130_134
| ~ spl130_185
| ~ spl130_358
| ~ spl130_398 ),
inference(trivial_inequality_removal,[],[f15577]) ).
fof(f15577,plain,
( e1 != e1
| e0 = unit
| ~ sP90
| ~ spl130_134
| ~ spl130_185
| ~ spl130_358
| ~ spl130_398 ),
inference(forward_demodulation,[],[f15576,f1742]) ).
fof(f15576,plain,
( e1 != op(e1,e0)
| e0 = unit
| ~ sP90
| ~ spl130_185
| ~ spl130_358
| ~ spl130_398 ),
inference(forward_demodulation,[],[f9665,f8845]) ).
fof(f8845,plain,
( e1 = e3
| ~ spl130_185
| ~ spl130_398 ),
inference(superposition,[],[f5878,f1987]) ).
fof(f5878,plain,
( e1 = op(e3,unit)
| ~ spl130_398 ),
inference(avatar_component_clause,[],[f5876]) ).
fof(f9665,plain,
( e0 = unit
| e3 != op(e3,e0)
| ~ sP90
| ~ spl130_358 ),
inference(forward_demodulation,[],[f464,f2973]) ).
fof(f464,plain,
( e0 = op(e3,e3)
| e3 != op(e3,e0)
| ~ sP90 ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
( ( e3 != unit
& e0 = op(e3,e3) )
| e3 != op(e3,e0)
| ~ sP90 ),
inference(nnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e3 != unit
& e0 = op(e3,e3) )
| e3 != op(e3,e0)
| ~ sP90 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f19441,plain,
( spl130_318
| ~ spl130_186
| ~ spl130_375 ),
inference(avatar_split_clause,[],[f5395,f3178,f1990,f2694]) ).
fof(f19085,plain,
( spl130_165
| ~ spl130_133
| ~ spl130_189
| ~ spl130_321
| ~ spl130_337
| ~ spl130_370
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f18727,f9727,f3032,f2782,f2708,f2005,f1736,f1885]) ).
fof(f2005,plain,
( spl130_189
<=> e3 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_189])]) ).
fof(f9727,plain,
( spl130_412
<=> e1 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_412])]) ).
fof(f18727,plain,
( e0 = e1
| ~ spl130_133
| ~ spl130_189
| ~ spl130_321
| ~ spl130_337
| ~ spl130_370
| ~ spl130_412 ),
inference(forward_demodulation,[],[f10395,f1737]) ).
fof(f10395,plain,
( e1 = op(e1,e1)
| ~ spl130_189
| ~ spl130_321
| ~ spl130_337
| ~ spl130_370
| ~ spl130_412 ),
inference(forward_demodulation,[],[f3034,f10306]) ).
fof(f10306,plain,
( e1 = e4
| ~ spl130_189
| ~ spl130_321
| ~ spl130_337
| ~ spl130_412 ),
inference(forward_demodulation,[],[f10305,f9760]) ).
fof(f9760,plain,
( e1 = e3
| ~ spl130_189
| ~ spl130_412 ),
inference(superposition,[],[f9729,f2007]) ).
fof(f2007,plain,
( e3 = op(e2,e4)
| ~ spl130_189 ),
inference(avatar_component_clause,[],[f2005]) ).
fof(f9729,plain,
( e1 = op(e2,e4)
| ~ spl130_412 ),
inference(avatar_component_clause,[],[f9727]) ).
fof(f10305,plain,
( e3 = e4
| ~ spl130_189
| ~ spl130_321
| ~ spl130_337
| ~ spl130_412 ),
inference(forward_demodulation,[],[f10304,f2783]) ).
fof(f10304,plain,
( e4 = op(e1,e2)
| ~ spl130_189
| ~ spl130_321
| ~ spl130_412 ),
inference(forward_demodulation,[],[f2709,f9760]) ).
fof(f19055,plain,
( spl130_176
| ~ spl130_181
| ~ spl130_185
| ~ spl130_186
| ~ spl130_323
| ~ spl130_375
| ~ spl130_397 ),
inference(avatar_split_clause,[],[f18699,f5870,f3178,f2717,f1990,f1985,f1965,f1940]) ).
fof(f18699,plain,
( e3 = unit
| ~ spl130_181
| ~ spl130_185
| ~ spl130_186
| ~ spl130_323
| ~ spl130_375
| ~ spl130_397 ),
inference(forward_demodulation,[],[f18698,f5395]) ).
fof(f18698,plain,
( e3 = e4
| ~ spl130_181
| ~ spl130_185
| ~ spl130_323
| ~ spl130_397 ),
inference(forward_demodulation,[],[f9042,f1987]) ).
fof(f9042,plain,
( e4 = op(e3,unit)
| ~ spl130_181
| ~ spl130_323
| ~ spl130_397 ),
inference(forward_demodulation,[],[f2718,f8843]) ).
fof(f18748,plain,
( spl130_175
| ~ spl130_133
| ~ spl130_186
| ~ spl130_189
| ~ spl130_321
| ~ spl130_340
| ~ spl130_375
| ~ spl130_381
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f18546,f9727,f4311,f3178,f2797,f2708,f2005,f1990,f1736,f1935]) ).
fof(f18546,plain,
( e0 = unit
| ~ spl130_133
| ~ spl130_186
| ~ spl130_189
| ~ spl130_321
| ~ spl130_340
| ~ spl130_375
| ~ spl130_381
| ~ spl130_412 ),
inference(forward_demodulation,[],[f18545,f5395]) ).
fof(f18545,plain,
( e0 = e4
| ~ spl130_133
| ~ spl130_189
| ~ spl130_321
| ~ spl130_340
| ~ spl130_381
| ~ spl130_412 ),
inference(forward_demodulation,[],[f18544,f1737]) ).
fof(f18544,plain,
( e4 = op(e1,e1)
| ~ spl130_189
| ~ spl130_321
| ~ spl130_340
| ~ spl130_381
| ~ spl130_412 ),
inference(forward_demodulation,[],[f13601,f17924]) ).
fof(f17924,plain,
( e1 = e2
| ~ spl130_189
| ~ spl130_340
| ~ spl130_381
| ~ spl130_412 ),
inference(forward_demodulation,[],[f17364,f9760]) ).
fof(f17364,plain,
( e2 = e3
| ~ spl130_340
| ~ spl130_381 ),
inference(forward_demodulation,[],[f4313,f2798]) ).
fof(f13601,plain,
( e4 = op(e1,e2)
| ~ spl130_189
| ~ spl130_321
| ~ spl130_412 ),
inference(forward_demodulation,[],[f2709,f9760]) ).
fof(f18571,plain,
( spl130_175
| ~ spl130_133
| ~ spl130_186
| ~ spl130_189
| ~ spl130_239
| ~ spl130_375
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f18363,f9727,f3178,f2273,f2005,f1990,f1736,f1935]) ).
fof(f18363,plain,
( e0 = unit
| ~ spl130_133
| ~ spl130_186
| ~ spl130_189
| ~ spl130_239
| ~ spl130_375
| ~ spl130_412 ),
inference(forward_demodulation,[],[f18362,f5395]) ).
fof(f18362,plain,
( e0 = e4
| ~ spl130_133
| ~ spl130_189
| ~ spl130_239
| ~ spl130_412 ),
inference(forward_demodulation,[],[f18361,f1737]) ).
fof(f18361,plain,
( e4 = op(e1,e1)
| ~ spl130_189
| ~ spl130_239
| ~ spl130_412 ),
inference(forward_demodulation,[],[f2274,f9760]) ).
fof(f18380,plain,
( spl130_175
| ~ spl130_186
| ~ spl130_189
| ~ spl130_321
| ~ spl130_346
| ~ spl130_375
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f18082,f9727,f3178,f2824,f2708,f2005,f1990,f1935]) ).
fof(f18082,plain,
( e0 = unit
| ~ spl130_186
| ~ spl130_189
| ~ spl130_321
| ~ spl130_346
| ~ spl130_375
| ~ spl130_412 ),
inference(forward_demodulation,[],[f18081,f5395]) ).
fof(f18081,plain,
( e0 = e4
| ~ spl130_189
| ~ spl130_321
| ~ spl130_346
| ~ spl130_412 ),
inference(forward_demodulation,[],[f13601,f10383]) ).
fof(f10383,plain,
( e0 = op(e1,e2)
| ~ spl130_189
| ~ spl130_346
| ~ spl130_412 ),
inference(forward_demodulation,[],[f2826,f9760]) ).
fof(f17696,plain,
( ~ spl130_179
| spl130_126
| ~ spl130_176
| ~ spl130_189
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f17203,f9727,f2005,f1940,f1704,f1955]) ).
fof(f1704,plain,
( spl130_126
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_126])]) ).
fof(f17203,plain,
( e0 != op(e0,unit)
| spl130_126
| ~ spl130_176
| ~ spl130_189
| ~ spl130_412 ),
inference(forward_demodulation,[],[f1705,f16335]) ).
fof(f16335,plain,
( e1 = unit
| ~ spl130_176
| ~ spl130_189
| ~ spl130_412 ),
inference(forward_demodulation,[],[f9760,f1941]) ).
fof(f1705,plain,
( e0 != op(e0,e1)
| spl130_126 ),
inference(avatar_component_clause,[],[f1704]) ).
fof(f17692,plain,
( ~ spl130_179
| spl130_130
| ~ spl130_176 ),
inference(avatar_split_clause,[],[f3183,f1940,f1722,f1955]) ).
fof(f3183,plain,
( e0 != op(e0,unit)
| spl130_130
| ~ spl130_176 ),
inference(superposition,[],[f1723,f1941]) ).
fof(f1723,plain,
( e0 != op(e0,e3)
| spl130_130 ),
inference(avatar_component_clause,[],[f1722]) ).
fof(f17641,plain,
( spl130_175
| ~ spl130_128
| ~ spl130_176
| ~ spl130_340 ),
inference(avatar_split_clause,[],[f17634,f2797,f1940,f1713,f1935]) ).
fof(f17634,plain,
( e0 = unit
| ~ spl130_128
| ~ spl130_176
| ~ spl130_340 ),
inference(forward_demodulation,[],[f17627,f1941]) ).
fof(f17575,plain,
( spl130_131
| spl130_158
| spl130_318
| spl130_168
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_189
| ~ spl130_391
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f17466,f9727,f4991,f2005,f1950,f1940,f1740,f1900,f2694,f1852,f1727]) ).
fof(f1852,plain,
( spl130_158
<=> e4 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_158])]) ).
fof(f17466,plain,
( e0 = e4
| e4 = unit
| e4 = op(e4,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_189
| ~ spl130_391
| ~ spl130_412 ),
inference(duplicate_literal_removal,[],[f17465]) ).
fof(f17465,plain,
( e0 = e4
| e0 = e4
| e4 = unit
| e4 = op(e4,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_189
| ~ spl130_391
| ~ spl130_412 ),
inference(forward_demodulation,[],[f17171,f4993]) ).
fof(f17171,plain,
( e0 = e4
| e4 = unit
| e4 = op(e4,e0)
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_176
| ~ spl130_178
| ~ spl130_189
| ~ spl130_412 ),
inference(forward_demodulation,[],[f17170,f1952]) ).
fof(f17170,plain,
( e4 = op(unit,e0)
| e4 = unit
| e4 = op(e4,e0)
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_176
| ~ spl130_189
| ~ spl130_412 ),
inference(forward_demodulation,[],[f17169,f1941]) ).
fof(f17169,plain,
( e4 = unit
| e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_176
| ~ spl130_189
| ~ spl130_412 ),
inference(forward_demodulation,[],[f3553,f16335]) ).
fof(f17538,plain,
( spl130_166
| ~ spl130_176
| ~ spl130_178
| ~ spl130_345 ),
inference(avatar_split_clause,[],[f17468,f2820,f1950,f1940,f1890]) ).
fof(f2820,plain,
( spl130_345
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_345])]) ).
fof(f17468,plain,
( e0 = e2
| ~ spl130_176
| ~ spl130_178
| ~ spl130_345 ),
inference(forward_demodulation,[],[f17467,f1952]) ).
fof(f17467,plain,
( e2 = op(unit,e0)
| ~ spl130_176
| ~ spl130_345 ),
inference(forward_demodulation,[],[f2821,f1941]) ).
fof(f2821,plain,
( e2 = op(e3,e0)
| ~ spl130_345 ),
inference(avatar_component_clause,[],[f2820]) ).
fof(f17469,plain,
( spl130_320
| spl130_319
| spl130_173
| ~ spl130_164
| ~ spl130_176
| ~ spl130_187
| ~ spl130_189
| ~ spl130_352
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f17275,f9727,f2942,f2005,f1995,f1940,f1880,f1925,f2698,f2703]) ).
fof(f1995,plain,
( spl130_187
<=> e4 = op(e4,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_187])]) ).
fof(f2942,plain,
( spl130_352
<=> op(e4,e4) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_352])]) ).
fof(f17275,plain,
( e2 = e4
| e2 = unit
| e2 = op(e4,e0)
| ~ spl130_164
| ~ spl130_176
| ~ spl130_187
| ~ spl130_189
| ~ spl130_352
| ~ spl130_412 ),
inference(duplicate_literal_removal,[],[f17274]) ).
fof(f17274,plain,
( e2 = e4
| e2 = unit
| e2 = e4
| e2 = op(e4,e0)
| ~ spl130_164
| ~ spl130_176
| ~ spl130_187
| ~ spl130_189
| ~ spl130_352
| ~ spl130_412 ),
inference(forward_demodulation,[],[f17273,f1997]) ).
fof(f1997,plain,
( e4 = op(e4,unit)
| ~ spl130_187 ),
inference(avatar_component_clause,[],[f1995]) ).
fof(f17273,plain,
( e2 = op(e4,unit)
| e2 = unit
| e2 = e4
| e2 = op(e4,e0)
| ~ spl130_164
| ~ spl130_176
| ~ spl130_189
| ~ spl130_352
| ~ spl130_412 ),
inference(forward_demodulation,[],[f17272,f16335]) ).
fof(f17272,plain,
( e2 = unit
| e2 = e4
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl130_164
| ~ spl130_176
| ~ spl130_189
| ~ spl130_352
| ~ spl130_412 ),
inference(duplicate_literal_removal,[],[f17271]) ).
fof(f17271,plain,
( e2 = unit
| e2 = unit
| e2 = e4
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl130_164
| ~ spl130_176
| ~ spl130_189
| ~ spl130_352
| ~ spl130_412 ),
inference(forward_demodulation,[],[f17270,f2943]) ).
fof(f2943,plain,
( op(e4,e4) = unit
| ~ spl130_352 ),
inference(avatar_component_clause,[],[f2942]) ).
fof(f17270,plain,
( e2 = unit
| e2 = e4
| e2 = op(e4,e4)
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl130_164
| ~ spl130_176
| ~ spl130_189
| ~ spl130_412 ),
inference(forward_demodulation,[],[f3387,f16335]) ).
fof(f3387,plain,
( e2 = e4
| e1 = e2
| e2 = op(e4,e4)
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl130_164 ),
inference(forward_demodulation,[],[f1001,f1882]) ).
fof(f1001,plain,
( e1 = e2
| e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(forward_demodulation,[],[f840,f794]) ).
fof(f840,plain,
( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f17435,plain,
( spl130_318
| spl130_173
| ~ spl130_142
| ~ spl130_176
| ~ spl130_189
| ~ spl130_383
| ~ spl130_407
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f17426,f9727,f9200,f4319,f2005,f1940,f1779,f1925,f2694]) ).
fof(f17426,plain,
( e2 = e4
| e4 = unit
| ~ spl130_142
| ~ spl130_176
| ~ spl130_189
| ~ spl130_383
| ~ spl130_407
| ~ spl130_412 ),
inference(duplicate_literal_removal,[],[f17425]) ).
fof(f17425,plain,
( e2 = e4
| e2 = e4
| e4 = unit
| ~ spl130_142
| ~ spl130_176
| ~ spl130_189
| ~ spl130_383
| ~ spl130_407
| ~ spl130_412 ),
inference(forward_demodulation,[],[f17376,f4321]) ).
fof(f17376,plain,
( e2 = e4
| e4 = unit
| e4 = op(e2,e2)
| ~ spl130_142
| ~ spl130_176
| ~ spl130_189
| ~ spl130_407
| ~ spl130_412 ),
inference(forward_demodulation,[],[f16660,f1781]) ).
fof(f16660,plain,
( e4 = unit
| e4 = op(e2,e2)
| e4 = op(e2,e0)
| ~ spl130_176
| ~ spl130_189
| ~ spl130_407
| ~ spl130_412 ),
inference(forward_demodulation,[],[f14674,f16335]) ).
fof(f14674,plain,
( e1 = e4
| e4 = op(e2,e2)
| e4 = op(e2,e0)
| ~ spl130_189
| ~ spl130_407
| ~ spl130_412 ),
inference(duplicate_literal_removal,[],[f14673]) ).
fof(f14673,plain,
( e1 = e4
| e1 = e4
| e4 = op(e2,e2)
| e4 = op(e2,e0)
| ~ spl130_189
| ~ spl130_407
| ~ spl130_412 ),
inference(forward_demodulation,[],[f14424,f9202]) ).
fof(f14424,plain,
( e4 = op(e2,e1)
| e1 = e4
| e4 = op(e2,e2)
| e4 = op(e2,e0)
| ~ spl130_189
| ~ spl130_412 ),
inference(duplicate_literal_removal,[],[f10184]) ).
fof(f10184,plain,
( e4 = op(e2,e1)
| e1 = e4
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| ~ spl130_189
| ~ spl130_412 ),
inference(forward_demodulation,[],[f10183,f9760]) ).
fof(f10183,plain,
( e1 = e4
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| ~ spl130_189
| ~ spl130_412 ),
inference(forward_demodulation,[],[f1006,f9760]) ).
fof(f17411,plain,
( spl130_175
| ~ spl130_178
| ~ spl130_419 ),
inference(avatar_split_clause,[],[f17366,f16721,f1950,f1935]) ).
fof(f17366,plain,
( e0 = unit
| ~ spl130_178
| ~ spl130_419 ),
inference(superposition,[],[f16723,f1952]) ).
fof(f16723,plain,
( unit = op(unit,e0)
| ~ spl130_419 ),
inference(avatar_component_clause,[],[f16721]) ).
fof(f17368,plain,
( spl130_319
| ~ spl130_176
| ~ spl130_340
| ~ spl130_381 ),
inference(avatar_split_clause,[],[f16327,f4311,f2797,f1940,f2698]) ).
fof(f16327,plain,
( e2 = unit
| ~ spl130_176
| ~ spl130_340
| ~ spl130_381 ),
inference(forward_demodulation,[],[f15461,f1941]) ).
fof(f15461,plain,
( e2 = e3
| ~ spl130_340
| ~ spl130_381 ),
inference(forward_demodulation,[],[f4313,f2798]) ).
fof(f17241,plain,
( spl130_173
| ~ spl130_327
| ~ spl130_382 ),
inference(avatar_split_clause,[],[f5804,f4315,f2735,f1925]) ).
fof(f5804,plain,
( e2 = e4
| ~ spl130_327
| ~ spl130_382 ),
inference(forward_demodulation,[],[f2736,f4317]) ).
fof(f4317,plain,
( e2 = op(e1,e2)
| ~ spl130_382 ),
inference(avatar_component_clause,[],[f4315]) ).
fof(f17167,plain,
( spl130_318
| ~ spl130_176
| ~ spl130_189
| ~ spl130_324
| ~ spl130_371
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f16698,f9727,f3036,f2721,f2005,f1940,f2694]) ).
fof(f3036,plain,
( spl130_371
<=> e4 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_371])]) ).
fof(f16698,plain,
( e4 = unit
| ~ spl130_176
| ~ spl130_189
| ~ spl130_324
| ~ spl130_371
| ~ spl130_412 ),
inference(forward_demodulation,[],[f16697,f16335]) ).
fof(f16697,plain,
( e1 = e4
| ~ spl130_324
| ~ spl130_371 ),
inference(forward_demodulation,[],[f3038,f2723]) ).
fof(f3038,plain,
( e4 = op(e3,e4)
| ~ spl130_371 ),
inference(avatar_component_clause,[],[f3036]) ).
fof(f17166,plain,
( ~ spl130_318
| ~ spl130_352
| spl130_372 ),
inference(avatar_split_clause,[],[f14369,f3040,f2942,f2694]) ).
fof(f3040,plain,
( spl130_372
<=> e4 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_372])]) ).
fof(f14369,plain,
( e4 != unit
| ~ spl130_352
| spl130_372 ),
inference(forward_demodulation,[],[f3041,f2943]) ).
fof(f3041,plain,
( e4 != op(e4,e4)
| spl130_372 ),
inference(avatar_component_clause,[],[f3040]) ).
fof(f17026,plain,
( ~ spl130_158
| ~ spl130_164
| spl130_308 ),
inference(avatar_split_clause,[],[f3071,f2641,f1880,f1852]) ).
fof(f2641,plain,
( spl130_308
<=> op(e4,e0) = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_308])]) ).
fof(f3071,plain,
( e4 != op(e4,e0)
| ~ spl130_164
| spl130_308 ),
inference(superposition,[],[f2643,f1882]) ).
fof(f2643,plain,
( op(e4,e0) != op(e4,e3)
| spl130_308 ),
inference(avatar_component_clause,[],[f2641]) ).
fof(f17025,plain,
( ~ spl130_367
| ~ spl130_176
| ~ spl130_189
| ~ spl130_324
| ~ spl130_371
| spl130_375
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f16716,f9727,f3178,f3036,f2721,f2005,f1940,f3017]) ).
fof(f16716,plain,
( unit != op(unit,unit)
| ~ spl130_176
| ~ spl130_189
| ~ spl130_324
| ~ spl130_371
| spl130_375
| ~ spl130_412 ),
inference(forward_demodulation,[],[f3180,f16698]) ).
fof(f3180,plain,
( unit != op(unit,e4)
| spl130_375 ),
inference(avatar_component_clause,[],[f3178]) ).
fof(f16994,plain,
( spl130_166
| ~ spl130_141
| ~ spl130_383 ),
inference(avatar_split_clause,[],[f16992,f4319,f1775,f1890]) ).
fof(f16992,plain,
( e0 = e2
| ~ spl130_141
| ~ spl130_383 ),
inference(forward_demodulation,[],[f4321,f1776]) ).
fof(f16736,plain,
( spl130_419
| ~ spl130_142
| ~ spl130_176
| ~ spl130_340
| ~ spl130_381 ),
inference(avatar_split_clause,[],[f16597,f4311,f2797,f1940,f1779,f16721]) ).
fof(f16597,plain,
( unit = op(unit,e0)
| ~ spl130_142
| ~ spl130_176
| ~ spl130_340
| ~ spl130_381 ),
inference(forward_demodulation,[],[f1781,f16327]) ).
fof(f16724,plain,
( spl130_419
| ~ spl130_150
| ~ spl130_176 ),
inference(avatar_split_clause,[],[f16596,f1940,f1816,f16721]) ).
fof(f1816,plain,
( spl130_150
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_150])]) ).
fof(f16596,plain,
( unit = op(unit,e0)
| ~ spl130_150
| ~ spl130_176 ),
inference(forward_demodulation,[],[f1818,f1941]) ).
fof(f1818,plain,
( e3 = op(e3,e0)
| ~ spl130_150 ),
inference(avatar_component_clause,[],[f1816]) ).
fof(f16718,plain,
( ~ spl130_367
| ~ spl130_176
| spl130_403 ),
inference(avatar_split_clause,[],[f16295,f9121,f1940,f3017]) ).
fof(f9121,plain,
( spl130_403
<=> unit = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_403])]) ).
fof(f16295,plain,
( unit != op(unit,unit)
| ~ spl130_176
| spl130_403 ),
inference(forward_demodulation,[],[f9122,f1941]) ).
fof(f9122,plain,
( unit != op(e3,unit)
| spl130_403 ),
inference(avatar_component_clause,[],[f9121]) ).
fof(f16715,plain,
( ~ spl130_375
| spl130_156
| ~ spl130_176 ),
inference(avatar_split_clause,[],[f3169,f1940,f1843,f3178]) ).
fof(f16684,plain,
( spl130_168
| ~ spl130_132
| ~ spl130_369 ),
inference(avatar_split_clause,[],[f16579,f3028,f1731,f1900]) ).
fof(f16579,plain,
( e0 = e4
| ~ spl130_132
| ~ spl130_369 ),
inference(forward_demodulation,[],[f3030,f1733]) ).
fof(f3030,plain,
( e4 = op(e0,e4)
| ~ spl130_369 ),
inference(avatar_component_clause,[],[f3028]) ).
fof(f16636,plain,
( spl130_168
| ~ spl130_131
| ~ spl130_390 ),
inference(avatar_split_clause,[],[f16086,f4987,f1727,f1900]) ).
fof(f16086,plain,
( e0 = e4
| ~ spl130_131
| ~ spl130_390 ),
inference(forward_demodulation,[],[f1728,f4989]) ).
fof(f4989,plain,
( e0 = op(e0,e0)
| ~ spl130_390 ),
inference(avatar_component_clause,[],[f4987]) ).
fof(f16595,plain,
( spl130_175
| ~ spl130_141
| ~ spl130_361 ),
inference(avatar_split_clause,[],[f11149,f2987,f1775,f1935]) ).
fof(f2987,plain,
( spl130_361
<=> op(e2,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_361])]) ).
fof(f11149,plain,
( e0 = unit
| ~ spl130_141
| ~ spl130_361 ),
inference(forward_demodulation,[],[f1776,f2988]) ).
fof(f2988,plain,
( op(e2,e2) = unit
| ~ spl130_361 ),
inference(avatar_component_clause,[],[f2987]) ).
fof(f16337,plain,
( spl130_319
| ~ spl130_132
| ~ spl130_133
| ~ spl130_176
| ~ spl130_179
| ~ spl130_340
| ~ spl130_342
| ~ spl130_390
| ~ spl130_405 ),
inference(avatar_split_clause,[],[f16085,f9173,f4987,f2806,f2797,f1955,f1940,f1736,f1731,f2698]) ).
fof(f9173,plain,
( spl130_405
<=> op(e1,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_405])]) ).
fof(f16085,plain,
( e2 = unit
| ~ spl130_132
| ~ spl130_133
| ~ spl130_176
| ~ spl130_179
| ~ spl130_340
| ~ spl130_342
| ~ spl130_390
| ~ spl130_405 ),
inference(duplicate_literal_removal,[],[f16084]) ).
fof(f16084,plain,
( e2 = unit
| e2 = unit
| ~ spl130_132
| ~ spl130_133
| ~ spl130_176
| ~ spl130_179
| ~ spl130_340
| ~ spl130_342
| ~ spl130_390
| ~ spl130_405 ),
inference(forward_demodulation,[],[f16083,f9177]) ).
fof(f9177,plain,
( e0 = unit
| ~ spl130_133
| ~ spl130_405 ),
inference(superposition,[],[f9175,f1737]) ).
fof(f9175,plain,
( op(e1,e1) = unit
| ~ spl130_405 ),
inference(avatar_component_clause,[],[f9173]) ).
fof(f16083,plain,
( e0 = e2
| e2 = unit
| ~ spl130_132
| ~ spl130_133
| ~ spl130_176
| ~ spl130_179
| ~ spl130_340
| ~ spl130_342
| ~ spl130_390
| ~ spl130_405 ),
inference(forward_demodulation,[],[f16082,f4989]) ).
fof(f16082,plain,
( e2 = unit
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_133
| ~ spl130_176
| ~ spl130_179
| ~ spl130_340
| ~ spl130_342
| ~ spl130_405 ),
inference(duplicate_literal_removal,[],[f16081]) ).
fof(f16081,plain,
( e2 = unit
| e2 = unit
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_133
| ~ spl130_176
| ~ spl130_179
| ~ spl130_340
| ~ spl130_342
| ~ spl130_405 ),
inference(forward_demodulation,[],[f16080,f1941]) ).
fof(f16080,plain,
( e2 = e3
| e2 = unit
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_133
| ~ spl130_176
| ~ spl130_179
| ~ spl130_340
| ~ spl130_342
| ~ spl130_405 ),
inference(forward_demodulation,[],[f16079,f2807]) ).
fof(f16079,plain,
( e2 = unit
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_133
| ~ spl130_176
| ~ spl130_179
| ~ spl130_340
| ~ spl130_405 ),
inference(duplicate_literal_removal,[],[f16078]) ).
fof(f16078,plain,
( e2 = unit
| e2 = unit
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_133
| ~ spl130_176
| ~ spl130_179
| ~ spl130_340
| ~ spl130_405 ),
inference(forward_demodulation,[],[f16077,f1941]) ).
fof(f16077,plain,
( e2 = e3
| e2 = unit
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_133
| ~ spl130_176
| ~ spl130_179
| ~ spl130_340
| ~ spl130_405 ),
inference(forward_demodulation,[],[f16076,f2798]) ).
fof(f16076,plain,
( e2 = unit
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_133
| ~ spl130_176
| ~ spl130_179
| ~ spl130_405 ),
inference(duplicate_literal_removal,[],[f16075]) ).
fof(f16075,plain,
( e2 = unit
| e2 = unit
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_133
| ~ spl130_176
| ~ spl130_179
| ~ spl130_405 ),
inference(forward_demodulation,[],[f16074,f9177]) ).
fof(f16074,plain,
( e0 = e2
| e2 = unit
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_133
| ~ spl130_176
| ~ spl130_179
| ~ spl130_405 ),
inference(forward_demodulation,[],[f16073,f1957]) ).
fof(f16073,plain,
( e2 = op(e0,unit)
| e2 = unit
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_133
| ~ spl130_176
| ~ spl130_405 ),
inference(forward_demodulation,[],[f16072,f1941]) ).
fof(f16072,plain,
( e2 = unit
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| ~ spl130_132
| ~ spl130_133
| ~ spl130_405 ),
inference(forward_demodulation,[],[f7247,f9177]) ).
fof(f16038,plain,
( spl130_171
| ~ spl130_164
| ~ spl130_185
| ~ spl130_373
| ~ spl130_398 ),
inference(avatar_split_clause,[],[f15908,f5876,f3053,f1985,f1880,f1915]) ).
fof(f15908,plain,
( e1 = e4
| ~ spl130_164
| ~ spl130_185
| ~ spl130_373
| ~ spl130_398 ),
inference(forward_demodulation,[],[f15907,f15671]) ).
fof(f15671,plain,
( e1 = op(e4,e1)
| ~ spl130_185
| ~ spl130_373
| ~ spl130_398 ),
inference(forward_demodulation,[],[f3055,f8845]) ).
fof(f15907,plain,
( e4 = op(e4,e1)
| ~ spl130_164
| ~ spl130_185
| ~ spl130_398 ),
inference(forward_demodulation,[],[f1882,f8845]) ).
fof(f16037,plain,
( ~ spl130_175
| spl130_149
| ~ spl130_358 ),
inference(avatar_split_clause,[],[f15521,f2972,f1812,f1935]) ).
fof(f1812,plain,
( spl130_149
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_149])]) ).
fof(f15521,plain,
( e0 != unit
| spl130_149
| ~ spl130_358 ),
inference(forward_demodulation,[],[f1814,f2973]) ).
fof(f1814,plain,
( e0 != op(e3,e3)
| spl130_149 ),
inference(avatar_component_clause,[],[f1812]) ).
fof(f15910,plain,
( spl130_175
| ~ spl130_157
| ~ spl130_352 ),
inference(avatar_split_clause,[],[f13983,f2942,f1848,f1935]) ).
fof(f13983,plain,
( e0 = unit
| ~ spl130_157
| ~ spl130_352 ),
inference(forward_demodulation,[],[f1849,f2943]) ).
fof(f1849,plain,
( e0 = op(e4,e4)
| ~ spl130_157 ),
inference(avatar_component_clause,[],[f1848]) ).
fof(f15522,plain,
( spl130_165
| ~ spl130_133
| ~ spl130_189
| ~ spl130_396
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f14700,f9727,f5774,f2005,f1736,f1885]) ).
fof(f5774,plain,
( spl130_396
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_396])]) ).
fof(f14700,plain,
( e0 = e1
| ~ spl130_133
| ~ spl130_189
| ~ spl130_396
| ~ spl130_412 ),
inference(forward_demodulation,[],[f10741,f1737]) ).
fof(f10741,plain,
( e1 = op(e1,e1)
| ~ spl130_189
| ~ spl130_396
| ~ spl130_412 ),
inference(forward_demodulation,[],[f5776,f9760]) ).
fof(f5776,plain,
( e3 = op(e1,e3)
| ~ spl130_396 ),
inference(avatar_component_clause,[],[f5774]) ).
fof(f15094,plain,
( spl130_175
| ~ spl130_149
| ~ spl130_358 ),
inference(avatar_split_clause,[],[f14069,f2972,f1812,f1935]) ).
fof(f14069,plain,
( e0 = unit
| ~ spl130_149
| ~ spl130_358 ),
inference(forward_demodulation,[],[f1813,f2973]) ).
fof(f1813,plain,
( e0 = op(e3,e3)
| ~ spl130_149 ),
inference(avatar_component_clause,[],[f1812]) ).
fof(f14398,plain,
( spl130_169
| spl130_173
| spl130_319
| spl130_172
| ~ spl130_154
| ~ spl130_175
| ~ spl130_185
| ~ spl130_323
| ~ spl130_324
| ~ spl130_358 ),
inference(avatar_split_clause,[],[f14313,f2972,f2721,f2717,f1985,f1935,f1834,f1920,f2698,f1925,f1905]) ).
fof(f1920,plain,
( spl130_172
<=> e2 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_172])]) ).
fof(f14313,plain,
( e2 = e3
| e2 = unit
| e2 = e4
| e1 = e2
| ~ spl130_154
| ~ spl130_175
| ~ spl130_185
| ~ spl130_323
| ~ spl130_324
| ~ spl130_358 ),
inference(duplicate_literal_removal,[],[f14312]) ).
fof(f14312,plain,
( e2 = e3
| e2 = unit
| e2 = e3
| e2 = e4
| e1 = e2
| ~ spl130_154
| ~ spl130_175
| ~ spl130_185
| ~ spl130_323
| ~ spl130_324
| ~ spl130_358 ),
inference(forward_demodulation,[],[f14311,f1836]) ).
fof(f14311,plain,
( e2 = unit
| e2 = e3
| e2 = e4
| e1 = e2
| e2 = op(e3,e2)
| ~ spl130_175
| ~ spl130_185
| ~ spl130_323
| ~ spl130_324
| ~ spl130_358 ),
inference(forward_demodulation,[],[f11742,f2973]) ).
fof(f11742,plain,
( e2 = e3
| e2 = e4
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| ~ spl130_175
| ~ spl130_185
| ~ spl130_323
| ~ spl130_324 ),
inference(forward_demodulation,[],[f9091,f1987]) ).
fof(f9091,plain,
( e2 = op(e3,unit)
| e2 = e4
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| ~ spl130_175
| ~ spl130_323
| ~ spl130_324 ),
inference(forward_demodulation,[],[f9090,f1936]) ).
fof(f1936,plain,
( e0 = unit
| ~ spl130_175 ),
inference(avatar_component_clause,[],[f1935]) ).
fof(f9090,plain,
( e2 = e4
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl130_323
| ~ spl130_324 ),
inference(forward_demodulation,[],[f9089,f2718]) ).
fof(f9089,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl130_324 ),
inference(forward_demodulation,[],[f830,f2723]) ).
fof(f830,plain,
( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f14397,plain,
( ~ spl130_107
| ~ spl130_322
| spl130_174
| ~ spl130_154 ),
inference(avatar_split_clause,[],[f13239,f1834,f1930,f2712,f1595]) ).
fof(f1595,plain,
( spl130_107
<=> sP69 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_107])]) ).
fof(f2712,plain,
( spl130_322
<=> e2 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_322])]) ).
fof(f13239,plain,
( e3 = e4
| e2 != op(e3,e4)
| ~ sP69
| ~ spl130_154 ),
inference(forward_demodulation,[],[f506,f1836]) ).
fof(f506,plain,
( e4 = op(e3,e2)
| e2 != op(e3,e4)
| ~ sP69 ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
( ( e2 != unit
& e4 = op(e3,e2) )
| e2 != op(e3,e4)
| ~ sP69 ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e2 != unit
& e4 = op(e3,e2) )
| e2 != op(e3,e4)
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f14358,plain,
( ~ spl130_109
| spl130_318
| ~ spl130_158
| ~ spl130_175
| ~ spl130_372 ),
inference(avatar_split_clause,[],[f13766,f3040,f1935,f1852,f2694,f1606]) ).
fof(f1606,plain,
( spl130_109
<=> sP120 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_109])]) ).
fof(f13766,plain,
( e4 = unit
| ~ sP120
| ~ spl130_158
| ~ spl130_175
| ~ spl130_372 ),
inference(forward_demodulation,[],[f13765,f1936]) ).
fof(f13765,plain,
( e0 = e4
| ~ sP120
| ~ spl130_158
| ~ spl130_372 ),
inference(forward_demodulation,[],[f12418,f3042]) ).
fof(f3042,plain,
( e4 = op(e4,e4)
| ~ spl130_372 ),
inference(avatar_component_clause,[],[f3040]) ).
fof(f12418,plain,
( e0 = op(e4,e4)
| ~ sP120
| ~ spl130_158 ),
inference(trivial_inequality_removal,[],[f3428]) ).
fof(f3428,plain,
( e4 != e4
| e0 = op(e4,e4)
| ~ sP120
| ~ spl130_158 ),
inference(forward_demodulation,[],[f404,f1854]) ).
fof(f1854,plain,
( e4 = op(e4,e0)
| ~ spl130_158 ),
inference(avatar_component_clause,[],[f1852]) ).
fof(f404,plain,
( e0 = op(e4,e4)
| e4 != op(e4,e0)
| ~ sP120 ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0)
| ~ sP120 ),
inference(nnf_transformation,[],[f130]) ).
fof(f130,plain,
( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0)
| ~ sP120 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])]) ).
fof(f14257,plain,
( spl130_173
| ~ spl130_146
| ~ spl130_190 ),
inference(avatar_split_clause,[],[f13978,f2011,f1797,f1925]) ).
fof(f2011,plain,
( spl130_190
<=> e4 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_190])]) ).
fof(f13978,plain,
( e2 = e4
| ~ spl130_146
| ~ spl130_190 ),
inference(forward_demodulation,[],[f2013,f1799]) ).
fof(f2013,plain,
( e4 = op(e2,e3)
| ~ spl130_190 ),
inference(avatar_component_clause,[],[f2011]) ).
fof(f14070,plain,
( spl130_174
| ~ spl130_182
| ~ spl130_327
| ~ spl130_396
| ~ spl130_417 ),
inference(avatar_split_clause,[],[f13887,f11216,f5774,f2735,f1970,f1930]) ).
fof(f1970,plain,
( spl130_182
<=> e2 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_182])]) ).
fof(f11216,plain,
( spl130_417
<=> e3 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_417])]) ).
fof(f13887,plain,
( e3 = e4
| ~ spl130_182
| ~ spl130_327
| ~ spl130_396
| ~ spl130_417 ),
inference(forward_demodulation,[],[f13886,f5776]) ).
fof(f13886,plain,
( e4 = op(e1,e3)
| ~ spl130_182
| ~ spl130_327
| ~ spl130_417 ),
inference(forward_demodulation,[],[f2736,f11692]) ).
fof(f11692,plain,
( e2 = e3
| ~ spl130_182
| ~ spl130_417 ),
inference(superposition,[],[f11218,f1972]) ).
fof(f1972,plain,
( e2 = op(unit,e2)
| ~ spl130_182 ),
inference(avatar_component_clause,[],[f1970]) ).
fof(f11218,plain,
( e3 = op(unit,e2)
| ~ spl130_417 ),
inference(avatar_component_clause,[],[f11216]) ).
fof(f13985,plain,
( spl130_319
| ~ spl130_354
| ~ spl130_377 ),
inference(avatar_split_clause,[],[f13861,f3538,f2951,f2698]) ).
fof(f2951,plain,
( spl130_354
<=> op(e4,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_354])]) ).
fof(f3538,plain,
( spl130_377
<=> e2 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_377])]) ).
fof(f13861,plain,
( e2 = unit
| ~ spl130_354
| ~ spl130_377 ),
inference(forward_demodulation,[],[f3540,f2952]) ).
fof(f2952,plain,
( op(e4,e3) = unit
| ~ spl130_354 ),
inference(avatar_component_clause,[],[f2951]) ).
fof(f3540,plain,
( e2 = op(e4,e3)
| ~ spl130_377 ),
inference(avatar_component_clause,[],[f3538]) ).
fof(f13732,plain,
( ~ spl130_57
| spl130_174
| ~ spl130_328
| ~ spl130_337 ),
inference(avatar_split_clause,[],[f13684,f2782,f2739,f1930,f1318]) ).
fof(f1318,plain,
( spl130_57
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_57])]) ).
fof(f13684,plain,
( e3 = e4
| ~ sP59
| ~ spl130_328
| ~ spl130_337 ),
inference(trivial_inequality_removal,[],[f13683]) ).
fof(f13683,plain,
( e2 != e2
| e3 = e4
| ~ sP59
| ~ spl130_328
| ~ spl130_337 ),
inference(forward_demodulation,[],[f13682,f2741]) ).
fof(f13682,plain,
( e3 = e4
| e2 != op(e1,e4)
| ~ sP59
| ~ spl130_337 ),
inference(forward_demodulation,[],[f526,f2783]) ).
fof(f526,plain,
( e4 = op(e1,e2)
| e2 != op(e1,e4)
| ~ sP59 ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
( ( e2 != unit
& e4 = op(e1,e2) )
| e2 != op(e1,e4)
| ~ sP59 ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e2 != unit
& e4 = op(e1,e2) )
| e2 != op(e1,e4)
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f13731,plain,
( spl130_354
| spl130_365
| spl130_176
| spl130_177
| ~ spl130_151
| ~ spl130_175
| ~ spl130_184
| ~ spl130_349 ),
inference(avatar_split_clause,[],[f13708,f2840,f1980,f1935,f1821,f1945,f1940,f3007,f2951]) ).
fof(f3007,plain,
( spl130_365
<=> op(e1,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_365])]) ).
fof(f1821,plain,
( spl130_151
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_151])]) ).
fof(f1980,plain,
( spl130_184
<=> e3 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_184])]) ).
fof(f2840,plain,
( spl130_349
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_349])]) ).
fof(f13708,plain,
( e1 = unit
| e3 = unit
| op(e1,e3) = unit
| op(e4,e3) = unit
| ~ spl130_151
| ~ spl130_175
| ~ spl130_184
| ~ spl130_349 ),
inference(duplicate_literal_removal,[],[f13707]) ).
fof(f13707,plain,
( e1 = unit
| e3 = unit
| op(e1,e3) = unit
| e1 = unit
| op(e4,e3) = unit
| ~ spl130_151
| ~ spl130_175
| ~ spl130_184
| ~ spl130_349 ),
inference(forward_demodulation,[],[f13248,f1822]) ).
fof(f1822,plain,
( e1 = op(e3,e3)
| ~ spl130_151 ),
inference(avatar_component_clause,[],[f1821]) ).
fof(f13248,plain,
( e3 = unit
| op(e1,e3) = unit
| e1 = unit
| op(e3,e3) = unit
| op(e4,e3) = unit
| ~ spl130_175
| ~ spl130_184
| ~ spl130_349 ),
inference(forward_demodulation,[],[f12979,f1982]) ).
fof(f1982,plain,
( e3 = op(unit,e3)
| ~ spl130_184 ),
inference(avatar_component_clause,[],[f1980]) ).
fof(f12979,plain,
( unit = op(unit,e3)
| op(e1,e3) = unit
| e1 = unit
| op(e3,e3) = unit
| op(e4,e3) = unit
| ~ spl130_175
| ~ spl130_349 ),
inference(forward_demodulation,[],[f12978,f1936]) ).
fof(f12978,plain,
( op(e1,e3) = unit
| e1 = unit
| op(e3,e3) = unit
| op(e4,e3) = unit
| e0 = op(e0,e3)
| ~ spl130_175
| ~ spl130_349 ),
inference(forward_demodulation,[],[f11151,f1936]) ).
fof(f11151,plain,
( e1 = unit
| op(e3,e3) = unit
| op(e4,e3) = unit
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl130_175
| ~ spl130_349 ),
inference(forward_demodulation,[],[f8237,f2841]) ).
fof(f2841,plain,
( e1 = op(e2,e3)
| ~ spl130_349 ),
inference(avatar_component_clause,[],[f2840]) ).
fof(f8237,plain,
( op(e2,e3) = unit
| op(e3,e3) = unit
| op(e4,e3) = unit
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl130_175 ),
inference(forward_demodulation,[],[f8236,f1936]) ).
fof(f8236,plain,
( op(e3,e3) = unit
| op(e4,e3) = unit
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl130_175 ),
inference(forward_demodulation,[],[f8235,f1936]) ).
fof(f8235,plain,
( op(e4,e3) = unit
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl130_175 ),
inference(forward_demodulation,[],[f827,f1936]) ).
fof(f827,plain,
( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f13672,plain,
( spl130_171
| ~ spl130_134
| ~ spl130_329 ),
inference(avatar_split_clause,[],[f13486,f2744,f1740,f1915]) ).
fof(f2744,plain,
( spl130_329
<=> e4 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_329])]) ).
fof(f13486,plain,
( e1 = e4
| ~ spl130_134
| ~ spl130_329 ),
inference(forward_demodulation,[],[f2745,f1742]) ).
fof(f2745,plain,
( e4 = op(e1,e0)
| ~ spl130_329 ),
inference(avatar_component_clause,[],[f2744]) ).
fof(f13572,plain,
( spl130_319
| ~ spl130_133
| ~ spl130_175
| ~ spl130_189
| ~ spl130_338
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f13477,f9727,f2786,f2005,f1935,f1736,f2698]) ).
fof(f2786,plain,
( spl130_338
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_338])]) ).
fof(f13477,plain,
( e2 = unit
| ~ spl130_133
| ~ spl130_175
| ~ spl130_189
| ~ spl130_338
| ~ spl130_412 ),
inference(forward_demodulation,[],[f13476,f1936]) ).
fof(f13476,plain,
( e0 = e2
| ~ spl130_133
| ~ spl130_189
| ~ spl130_338
| ~ spl130_412 ),
inference(forward_demodulation,[],[f13475,f1737]) ).
fof(f13475,plain,
( e2 = op(e1,e1)
| ~ spl130_189
| ~ spl130_338
| ~ spl130_412 ),
inference(forward_demodulation,[],[f2788,f9760]) ).
fof(f2788,plain,
( e2 = op(e1,e3)
| ~ spl130_338 ),
inference(avatar_component_clause,[],[f2786]) ).
fof(f13303,plain,
( spl130_155
| spl130_171
| spl130_174
| ~ spl130_175
| ~ spl130_184
| ~ spl130_349
| ~ spl130_373
| ~ spl130_396 ),
inference(avatar_split_clause,[],[f13286,f5774,f3053,f2840,f1980,f1935,f1930,f1915,f1839]) ).
fof(f13286,plain,
( e3 = e4
| e1 = e4
| e4 = op(e3,e3)
| ~ spl130_175
| ~ spl130_184
| ~ spl130_349
| ~ spl130_373
| ~ spl130_396 ),
inference(duplicate_literal_removal,[],[f13285]) ).
fof(f13285,plain,
( e3 = e4
| e3 = e4
| e1 = e4
| e4 = op(e3,e3)
| ~ spl130_175
| ~ spl130_184
| ~ spl130_349
| ~ spl130_373
| ~ spl130_396 ),
inference(forward_demodulation,[],[f13284,f1982]) ).
fof(f13284,plain,
( e4 = op(unit,e3)
| e3 = e4
| e1 = e4
| e4 = op(e3,e3)
| ~ spl130_175
| ~ spl130_349
| ~ spl130_373
| ~ spl130_396 ),
inference(forward_demodulation,[],[f13283,f1936]) ).
fof(f13283,plain,
( e3 = e4
| e1 = e4
| e4 = op(e3,e3)
| e4 = op(e0,e3)
| ~ spl130_349
| ~ spl130_373
| ~ spl130_396 ),
inference(duplicate_literal_removal,[],[f13282]) ).
fof(f13282,plain,
( e3 = e4
| e1 = e4
| e3 = e4
| e4 = op(e3,e3)
| e4 = op(e0,e3)
| ~ spl130_349
| ~ spl130_373
| ~ spl130_396 ),
inference(forward_demodulation,[],[f12994,f5776]) ).
fof(f12994,plain,
( e1 = e4
| e3 = e4
| e4 = op(e3,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3)
| ~ spl130_349
| ~ spl130_373 ),
inference(forward_demodulation,[],[f12568,f2841]) ).
fof(f13271,plain,
( spl130_171
| spl130_174
| ~ spl130_151
| ~ spl130_175
| ~ spl130_184
| ~ spl130_349
| ~ spl130_373
| ~ spl130_396 ),
inference(avatar_split_clause,[],[f13254,f5774,f3053,f2840,f1980,f1935,f1821,f1930,f1915]) ).
fof(f13254,plain,
( e3 = e4
| e1 = e4
| ~ spl130_151
| ~ spl130_175
| ~ spl130_184
| ~ spl130_349
| ~ spl130_373
| ~ spl130_396 ),
inference(duplicate_literal_removal,[],[f13253]) ).
fof(f13253,plain,
( e3 = e4
| e1 = e4
| e3 = e4
| ~ spl130_151
| ~ spl130_175
| ~ spl130_184
| ~ spl130_349
| ~ spl130_373
| ~ spl130_396 ),
inference(forward_demodulation,[],[f13252,f5776]) ).
fof(f13252,plain,
( e1 = e4
| e3 = e4
| e4 = op(e1,e3)
| ~ spl130_151
| ~ spl130_175
| ~ spl130_184
| ~ spl130_349
| ~ spl130_373 ),
inference(duplicate_literal_removal,[],[f13251]) ).
fof(f13251,plain,
( e1 = e4
| e3 = e4
| e1 = e4
| e4 = op(e1,e3)
| ~ spl130_151
| ~ spl130_175
| ~ spl130_184
| ~ spl130_349
| ~ spl130_373 ),
inference(forward_demodulation,[],[f12997,f1822]) ).
fof(f12997,plain,
( e3 = e4
| e1 = e4
| e4 = op(e3,e3)
| e4 = op(e1,e3)
| ~ spl130_175
| ~ spl130_184
| ~ spl130_349
| ~ spl130_373 ),
inference(duplicate_literal_removal,[],[f12996]) ).
fof(f12996,plain,
( e3 = e4
| e1 = e4
| e3 = e4
| e4 = op(e3,e3)
| e4 = op(e1,e3)
| ~ spl130_175
| ~ spl130_184
| ~ spl130_349
| ~ spl130_373 ),
inference(forward_demodulation,[],[f12995,f1982]) ).
fof(f12995,plain,
( e4 = op(unit,e3)
| e1 = e4
| e3 = e4
| e4 = op(e3,e3)
| e4 = op(e1,e3)
| ~ spl130_175
| ~ spl130_349
| ~ spl130_373 ),
inference(forward_demodulation,[],[f12994,f1936]) ).
fof(f13264,plain,
( ~ spl130_107
| spl130_174
| ~ spl130_154
| ~ spl130_322 ),
inference(avatar_split_clause,[],[f13241,f2712,f1834,f1930,f1595]) ).
fof(f13241,plain,
( e3 = e4
| ~ sP69
| ~ spl130_154
| ~ spl130_322 ),
inference(trivial_inequality_removal,[],[f13240]) ).
fof(f13240,plain,
( e2 != e2
| e3 = e4
| ~ sP69
| ~ spl130_154
| ~ spl130_322 ),
inference(forward_demodulation,[],[f13239,f2714]) ).
fof(f2714,plain,
( e2 = op(e3,e4)
| ~ spl130_322 ),
inference(avatar_component_clause,[],[f2712]) ).
fof(f13217,plain,
( spl130_171
| ~ spl130_289
| ~ spl130_407 ),
inference(avatar_split_clause,[],[f11923,f9200,f2540,f1915]) ).
fof(f2540,plain,
( spl130_289
<=> e4 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_289])]) ).
fof(f11923,plain,
( e1 = e4
| ~ spl130_289
| ~ spl130_407 ),
inference(forward_demodulation,[],[f2541,f9202]) ).
fof(f2541,plain,
( e4 = op(e2,e1)
| ~ spl130_289 ),
inference(avatar_component_clause,[],[f2540]) ).
fof(f13201,plain,
( spl130_146
| spl130_169
| spl130_172
| ~ spl130_151
| ~ spl130_175
| ~ spl130_184
| ~ spl130_289
| ~ spl130_396
| ~ spl130_407 ),
inference(avatar_split_clause,[],[f13143,f9200,f5774,f2540,f1980,f1935,f1821,f1920,f1905,f1797]) ).
fof(f13143,plain,
( e2 = e3
| e1 = e2
| e2 = op(e2,e3)
| ~ spl130_151
| ~ spl130_175
| ~ spl130_184
| ~ spl130_289
| ~ spl130_396
| ~ spl130_407 ),
inference(duplicate_literal_removal,[],[f13142]) ).
fof(f13142,plain,
( e2 = e3
| e1 = e2
| e2 = e3
| e2 = op(e2,e3)
| ~ spl130_151
| ~ spl130_175
| ~ spl130_184
| ~ spl130_289
| ~ spl130_396
| ~ spl130_407 ),
inference(forward_demodulation,[],[f13141,f1982]) ).
fof(f13141,plain,
( e2 = op(unit,e3)
| e1 = e2
| e2 = e3
| e2 = op(e2,e3)
| ~ spl130_151
| ~ spl130_175
| ~ spl130_289
| ~ spl130_396
| ~ spl130_407 ),
inference(forward_demodulation,[],[f13140,f1936]) ).
fof(f13140,plain,
( e1 = e2
| e2 = e3
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl130_151
| ~ spl130_289
| ~ spl130_396
| ~ spl130_407 ),
inference(forward_demodulation,[],[f12211,f1822]) ).
fof(f12211,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl130_289
| ~ spl130_396
| ~ spl130_407 ),
inference(forward_demodulation,[],[f12210,f5776]) ).
fof(f12210,plain,
( e2 = op(e1,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl130_289
| ~ spl130_407 ),
inference(duplicate_literal_removal,[],[f12209]) ).
fof(f12209,plain,
( e2 = op(e1,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl130_289
| ~ spl130_407 ),
inference(forward_demodulation,[],[f831,f11923]) ).
fof(f13103,plain,
( ~ spl130_338
| ~ spl130_289
| spl130_377
| ~ spl130_407 ),
inference(avatar_split_clause,[],[f12199,f9200,f3538,f2540,f2786]) ).
fof(f12199,plain,
( e2 != op(e1,e3)
| ~ spl130_289
| spl130_377
| ~ spl130_407 ),
inference(forward_demodulation,[],[f3539,f11923]) ).
fof(f3539,plain,
( e2 != op(e4,e3)
| spl130_377 ),
inference(avatar_component_clause,[],[f3538]) ).
fof(f13072,plain,
( spl130_173
| spl130_171
| spl130_174
| ~ spl130_151
| ~ spl130_175
| ~ spl130_184
| ~ spl130_338
| ~ spl130_349
| ~ spl130_373 ),
inference(avatar_split_clause,[],[f13064,f3053,f2840,f2786,f1980,f1935,f1821,f1930,f1915,f1925]) ).
fof(f13064,plain,
( e3 = e4
| e1 = e4
| e2 = e4
| ~ spl130_151
| ~ spl130_175
| ~ spl130_184
| ~ spl130_338
| ~ spl130_349
| ~ spl130_373 ),
inference(duplicate_literal_removal,[],[f13063]) ).
fof(f13063,plain,
( e3 = e4
| e1 = e4
| e3 = e4
| e2 = e4
| ~ spl130_151
| ~ spl130_175
| ~ spl130_184
| ~ spl130_338
| ~ spl130_349
| ~ spl130_373 ),
inference(forward_demodulation,[],[f13062,f1982]) ).
fof(f13062,plain,
( e4 = op(unit,e3)
| e1 = e4
| e3 = e4
| e2 = e4
| ~ spl130_151
| ~ spl130_175
| ~ spl130_338
| ~ spl130_349
| ~ spl130_373 ),
inference(forward_demodulation,[],[f13061,f1936]) ).
fof(f13061,plain,
( e1 = e4
| e3 = e4
| e2 = e4
| e4 = op(e0,e3)
| ~ spl130_151
| ~ spl130_338
| ~ spl130_349
| ~ spl130_373 ),
inference(duplicate_literal_removal,[],[f13060]) ).
fof(f13060,plain,
( e1 = e4
| e1 = e4
| e3 = e4
| e2 = e4
| e4 = op(e0,e3)
| ~ spl130_151
| ~ spl130_338
| ~ spl130_349
| ~ spl130_373 ),
inference(forward_demodulation,[],[f13059,f2841]) ).
fof(f13059,plain,
( e1 = e4
| e3 = e4
| e2 = e4
| e4 = op(e2,e3)
| e4 = op(e0,e3)
| ~ spl130_151
| ~ spl130_338
| ~ spl130_373 ),
inference(forward_demodulation,[],[f13058,f1822]) ).
fof(f13058,plain,
( e3 = e4
| e2 = e4
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e0,e3)
| ~ spl130_338
| ~ spl130_373 ),
inference(forward_demodulation,[],[f8243,f3055]) ).
fof(f8243,plain,
( e2 = e4
| e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e0,e3)
| ~ spl130_338 ),
inference(forward_demodulation,[],[f835,f2788]) ).
fof(f13056,plain,
( spl130_338
| spl130_328
| spl130_319
| spl130_169
| spl130_172
| ~ spl130_134
| ~ spl130_175
| ~ spl130_337 ),
inference(avatar_split_clause,[],[f13019,f2782,f1935,f1740,f1920,f1905,f2698,f2739,f2786]) ).
fof(f13019,plain,
( e2 = e3
| e1 = e2
| e2 = unit
| e2 = op(e1,e4)
| e2 = op(e1,e3)
| ~ spl130_134
| ~ spl130_175
| ~ spl130_337 ),
inference(forward_demodulation,[],[f11486,f2783]) ).
fof(f11486,plain,
( e1 = e2
| e2 = unit
| e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| ~ spl130_134
| ~ spl130_175 ),
inference(forward_demodulation,[],[f10430,f1742]) ).
fof(f10430,plain,
( e2 = unit
| e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl130_175 ),
inference(forward_demodulation,[],[f1015,f1936]) ).
fof(f13055,plain,
( spl130_144
| spl130_191
| spl130_319
| spl130_169
| spl130_172
| ~ spl130_152
| ~ spl130_175
| ~ spl130_180 ),
inference(avatar_split_clause,[],[f12969,f1960,f1935,f1825,f1920,f1905,f2698,f2016,f1788]) ).
fof(f1788,plain,
( spl130_144
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_144])]) ).
fof(f12969,plain,
( e2 = e3
| e1 = e2
| e2 = unit
| e2 = op(e4,e1)
| e2 = op(e2,e1)
| ~ spl130_152
| ~ spl130_175
| ~ spl130_180 ),
inference(forward_demodulation,[],[f6152,f1827]) ).
fof(f6152,plain,
( e1 = e2
| e2 = unit
| e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| ~ spl130_175
| ~ spl130_180 ),
inference(forward_demodulation,[],[f6151,f1962]) ).
fof(f6151,plain,
( e2 = op(unit,e1)
| e2 = unit
| e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| ~ spl130_175 ),
inference(forward_demodulation,[],[f6150,f1936]) ).
fof(f6150,plain,
( e2 = unit
| e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| ~ spl130_175 ),
inference(forward_demodulation,[],[f1014,f1936]) ).
fof(f1014,plain,
( e0 = e2
| e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1) ),
inference(forward_demodulation,[],[f811,f996]) ).
fof(f811,plain,
( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f13044,plain,
( spl130_151
| spl130_324
| spl130_171
| spl130_170
| ~ spl130_152
| ~ spl130_175
| ~ spl130_185
| ~ spl130_321 ),
inference(avatar_split_clause,[],[f13030,f2708,f1985,f1935,f1825,f1910,f1915,f2721,f1821]) ).
fof(f1910,plain,
( spl130_170
<=> e1 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_170])]) ).
fof(f13030,plain,
( e1 = e3
| e1 = e4
| e1 = op(e3,e4)
| e1 = op(e3,e3)
| ~ spl130_152
| ~ spl130_175
| ~ spl130_185
| ~ spl130_321 ),
inference(duplicate_literal_removal,[],[f13029]) ).
fof(f13029,plain,
( e1 = e3
| e1 = e3
| e1 = e4
| e1 = op(e3,e4)
| e1 = op(e3,e3)
| ~ spl130_152
| ~ spl130_175
| ~ spl130_185
| ~ spl130_321 ),
inference(forward_demodulation,[],[f11944,f1827]) ).
fof(f11944,plain,
( e1 = e3
| e1 = e4
| e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl130_175
| ~ spl130_185
| ~ spl130_321 ),
inference(forward_demodulation,[],[f11294,f1987]) ).
fof(f11294,plain,
( e1 = op(e3,unit)
| e1 = e4
| e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl130_175
| ~ spl130_321 ),
inference(forward_demodulation,[],[f11293,f1936]) ).
fof(f11293,plain,
( e1 = e4
| e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl130_321 ),
inference(forward_demodulation,[],[f828,f2709]) ).
fof(f828,plain,
( e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f13043,plain,
( spl130_153
| spl130_322
| spl130_173
| spl130_172
| ~ spl130_152
| ~ spl130_175
| ~ spl130_185
| ~ spl130_321 ),
inference(avatar_split_clause,[],[f13025,f2708,f1985,f1935,f1825,f1920,f1925,f2712,f1830]) ).
fof(f1830,plain,
( spl130_153
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_153])]) ).
fof(f13025,plain,
( e2 = e3
| e2 = e4
| e2 = op(e3,e4)
| e2 = op(e3,e3)
| ~ spl130_152
| ~ spl130_175
| ~ spl130_185
| ~ spl130_321 ),
inference(duplicate_literal_removal,[],[f13024]) ).
fof(f13024,plain,
( e2 = e3
| e2 = e4
| e2 = e3
| e2 = op(e3,e4)
| e2 = op(e3,e3)
| ~ spl130_152
| ~ spl130_175
| ~ spl130_185
| ~ spl130_321 ),
inference(forward_demodulation,[],[f13023,f1827]) ).
fof(f13023,plain,
( e2 = e4
| e2 = e3
| e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| ~ spl130_175
| ~ spl130_185
| ~ spl130_321 ),
inference(forward_demodulation,[],[f11461,f2709]) ).
fof(f11461,plain,
( e2 = e3
| e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl130_175
| ~ spl130_185 ),
inference(forward_demodulation,[],[f11460,f1987]) ).
fof(f11460,plain,
( e2 = op(e3,unit)
| e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl130_175 ),
inference(forward_demodulation,[],[f830,f1936]) ).
fof(f13022,plain,
( spl130_384
| spl130_153
| spl130_169
| spl130_172
| ~ spl130_152
| ~ spl130_175
| ~ spl130_185
| ~ spl130_324 ),
inference(avatar_split_clause,[],[f13018,f2721,f1985,f1935,f1825,f1920,f1905,f1830,f4323]) ).
fof(f13018,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| ~ spl130_152
| ~ spl130_175
| ~ spl130_185
| ~ spl130_324 ),
inference(duplicate_literal_removal,[],[f13017]) ).
fof(f13017,plain,
( e2 = e3
| e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| ~ spl130_152
| ~ spl130_175
| ~ spl130_185
| ~ spl130_324 ),
inference(forward_demodulation,[],[f13016,f1827]) ).
fof(f13016,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl130_175
| ~ spl130_185
| ~ spl130_324 ),
inference(forward_demodulation,[],[f11461,f2723]) ).
fof(f13021,plain,
( ~ spl130_83
| spl130_151
| ~ spl130_152 ),
inference(avatar_split_clause,[],[f12983,f1825,f1821,f1464]) ).
fof(f1464,plain,
( spl130_83
<=> sP91 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_83])]) ).
fof(f12983,plain,
( e1 = op(e3,e3)
| ~ sP91
| ~ spl130_152 ),
inference(trivial_inequality_removal,[],[f12982]) ).
fof(f12982,plain,
( e3 != e3
| e1 = op(e3,e3)
| ~ sP91
| ~ spl130_152 ),
inference(forward_demodulation,[],[f462,f1827]) ).
fof(f462,plain,
( e1 = op(e3,e3)
| e3 != op(e3,e1)
| ~ sP91 ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( ( e3 != unit
& e1 = op(e3,e3) )
| e3 != op(e3,e1)
| ~ sP91 ),
inference(nnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e3 != unit
& e1 = op(e3,e3) )
| e3 != op(e3,e1)
| ~ sP91 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f12962,plain,
( spl130_172
| ~ spl130_337
| ~ spl130_382 ),
inference(avatar_split_clause,[],[f12850,f4315,f2782,f1920]) ).
fof(f12850,plain,
( e2 = e3
| ~ spl130_337
| ~ spl130_382 ),
inference(forward_demodulation,[],[f4317,f2783]) ).
fof(f12838,plain,
( spl130_170
| ~ spl130_175
| ~ spl130_180
| ~ spl130_342 ),
inference(avatar_split_clause,[],[f9194,f2806,f1960,f1935,f1910]) ).
fof(f9194,plain,
( e1 = e3
| ~ spl130_175
| ~ spl130_180
| ~ spl130_342 ),
inference(forward_demodulation,[],[f9193,f1962]) ).
fof(f9193,plain,
( e3 = op(unit,e1)
| ~ spl130_175
| ~ spl130_342 ),
inference(forward_demodulation,[],[f2807,f1936]) ).
fof(f12479,plain,
( ~ spl130_373
| ~ spl130_182
| spl130_377
| ~ spl130_417 ),
inference(avatar_split_clause,[],[f12326,f11216,f3538,f1970,f3053]) ).
fof(f12326,plain,
( e3 != op(e4,e3)
| ~ spl130_182
| spl130_377
| ~ spl130_417 ),
inference(forward_demodulation,[],[f3539,f11692]) ).
fof(f12417,plain,
( ~ spl130_187
| spl130_158
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f11937,f1935,f1852,f1995]) ).
fof(f11937,plain,
( e4 != op(e4,unit)
| spl130_158
| ~ spl130_175 ),
inference(forward_demodulation,[],[f1853,f1936]) ).
fof(f1853,plain,
( e4 != op(e4,e0)
| spl130_158 ),
inference(avatar_component_clause,[],[f1852]) ).
fof(f12405,plain,
( ~ spl130_187
| ~ spl130_164
| ~ spl130_175
| spl130_308 ),
inference(avatar_split_clause,[],[f3076,f2641,f1935,f1880,f1995]) ).
fof(f3076,plain,
( e4 != op(e4,unit)
| ~ spl130_164
| ~ spl130_175
| spl130_308 ),
inference(forward_demodulation,[],[f3071,f1936]) ).
fof(f12365,plain,
( spl130_354
| spl130_176
| spl130_318
| ~ spl130_175
| ~ spl130_182
| ~ spl130_184
| ~ spl130_321
| ~ spl130_396
| ~ spl130_417 ),
inference(avatar_split_clause,[],[f12341,f11216,f5774,f2708,f1980,f1970,f1935,f2694,f1940,f2951]) ).
fof(f12341,plain,
( e4 = unit
| e3 = unit
| op(e4,e3) = unit
| ~ spl130_175
| ~ spl130_182
| ~ spl130_184
| ~ spl130_321
| ~ spl130_396
| ~ spl130_417 ),
inference(forward_demodulation,[],[f11710,f11921]) ).
fof(f11921,plain,
( e4 = op(e3,e3)
| ~ spl130_182
| ~ spl130_321
| ~ spl130_417 ),
inference(forward_demodulation,[],[f2709,f11692]) ).
fof(f11710,plain,
( op(e3,e3) = unit
| e3 = unit
| op(e4,e3) = unit
| ~ spl130_175
| ~ spl130_182
| ~ spl130_184
| ~ spl130_396
| ~ spl130_417 ),
inference(duplicate_literal_removal,[],[f11709]) ).
fof(f11709,plain,
( op(e3,e3) = unit
| e3 = unit
| op(e3,e3) = unit
| op(e4,e3) = unit
| ~ spl130_175
| ~ spl130_182
| ~ spl130_184
| ~ spl130_396
| ~ spl130_417 ),
inference(forward_demodulation,[],[f11446,f11692]) ).
fof(f11446,plain,
( e3 = unit
| op(e2,e3) = unit
| op(e3,e3) = unit
| op(e4,e3) = unit
| ~ spl130_175
| ~ spl130_184
| ~ spl130_396 ),
inference(duplicate_literal_removal,[],[f11344]) ).
fof(f11344,plain,
( e3 = unit
| e3 = unit
| op(e2,e3) = unit
| op(e3,e3) = unit
| op(e4,e3) = unit
| ~ spl130_175
| ~ spl130_184
| ~ spl130_396 ),
inference(forward_demodulation,[],[f11343,f1982]) ).
fof(f11343,plain,
( unit = op(unit,e3)
| e3 = unit
| op(e2,e3) = unit
| op(e3,e3) = unit
| op(e4,e3) = unit
| ~ spl130_175
| ~ spl130_396 ),
inference(forward_demodulation,[],[f11342,f1936]) ).
fof(f11342,plain,
( e3 = unit
| op(e2,e3) = unit
| op(e3,e3) = unit
| op(e4,e3) = unit
| e0 = op(e0,e3)
| ~ spl130_175
| ~ spl130_396 ),
inference(forward_demodulation,[],[f11341,f1936]) ).
fof(f11341,plain,
( e0 = e3
| op(e2,e3) = unit
| op(e3,e3) = unit
| op(e4,e3) = unit
| e0 = op(e0,e3)
| ~ spl130_175
| ~ spl130_396 ),
inference(forward_demodulation,[],[f8237,f5776]) ).
fof(f12362,plain,
( ~ spl130_138
| ~ spl130_134
| spl130_270 ),
inference(avatar_split_clause,[],[f2441,f2437,f1740,f1759]) ).
fof(f1759,plain,
( spl130_138
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_138])]) ).
fof(f2437,plain,
( spl130_270
<=> op(e1,e0) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_270])]) ).
fof(f2441,plain,
( e1 != op(e1,e3)
| ~ spl130_134
| spl130_270 ),
inference(forward_demodulation,[],[f2439,f1742]) ).
fof(f2439,plain,
( op(e1,e0) != op(e1,e3)
| spl130_270 ),
inference(avatar_component_clause,[],[f2437]) ).
fof(f12276,plain,
( spl130_318
| ~ spl130_164
| ~ spl130_354 ),
inference(avatar_split_clause,[],[f12244,f2951,f1880,f2694]) ).
fof(f12244,plain,
( e4 = unit
| ~ spl130_164
| ~ spl130_354 ),
inference(forward_demodulation,[],[f1882,f2952]) ).
fof(f12233,plain,
( spl130_177
| ~ spl130_138
| ~ spl130_289
| ~ spl130_354
| ~ spl130_407 ),
inference(avatar_split_clause,[],[f12232,f9200,f2951,f2540,f1759,f1945]) ).
fof(f12232,plain,
( e1 = unit
| ~ spl130_138
| ~ spl130_289
| ~ spl130_354
| ~ spl130_407 ),
inference(forward_demodulation,[],[f1761,f12218]) ).
fof(f12218,plain,
( op(e1,e3) = unit
| ~ spl130_289
| ~ spl130_354
| ~ spl130_407 ),
inference(forward_demodulation,[],[f2952,f11923]) ).
fof(f1761,plain,
( e1 = op(e1,e3)
| ~ spl130_138 ),
inference(avatar_component_clause,[],[f1759]) ).
fof(f12228,plain,
( spl130_138
| ~ spl130_164
| ~ spl130_289
| ~ spl130_407 ),
inference(avatar_split_clause,[],[f12198,f9200,f2540,f1880,f1759]) ).
fof(f12198,plain,
( e1 = op(e1,e3)
| ~ spl130_164
| ~ spl130_289
| ~ spl130_407 ),
inference(forward_demodulation,[],[f1882,f11923]) ).
fof(f12227,plain,
( ~ spl130_418
| spl130_154
| ~ spl130_182
| ~ spl130_417 ),
inference(avatar_split_clause,[],[f11734,f11216,f1970,f1834,f12224]) ).
fof(f12224,plain,
( spl130_418
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_418])]) ).
fof(f11734,plain,
( e3 != op(e3,e3)
| spl130_154
| ~ spl130_182
| ~ spl130_417 ),
inference(forward_demodulation,[],[f1835,f11692]) ).
fof(f1835,plain,
( e3 != op(e3,e2)
| spl130_154 ),
inference(avatar_component_clause,[],[f1834]) ).
fof(f12109,plain,
( spl130_318
| ~ spl130_164
| ~ spl130_182
| ~ spl130_413
| ~ spl130_417 ),
inference(avatar_split_clause,[],[f11935,f11216,f9764,f1970,f1880,f2694]) ).
fof(f9764,plain,
( spl130_413
<=> op(e4,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_413])]) ).
fof(f11935,plain,
( e4 = unit
| ~ spl130_164
| ~ spl130_182
| ~ spl130_413
| ~ spl130_417 ),
inference(forward_demodulation,[],[f1882,f11696]) ).
fof(f11696,plain,
( op(e4,e3) = unit
| ~ spl130_182
| ~ spl130_413
| ~ spl130_417 ),
inference(forward_demodulation,[],[f9766,f11692]) ).
fof(f9766,plain,
( op(e4,e2) = unit
| ~ spl130_413 ),
inference(avatar_component_clause,[],[f9764]) ).
fof(f11941,plain,
( spl130_174
| ~ spl130_152
| ~ spl130_323 ),
inference(avatar_split_clause,[],[f11738,f2717,f1825,f1930]) ).
fof(f11738,plain,
( e3 = e4
| ~ spl130_152
| ~ spl130_323 ),
inference(forward_demodulation,[],[f2718,f1827]) ).
fof(f11703,plain,
( spl130_232
| ~ spl130_324
| ~ spl130_328
| ~ spl130_370 ),
inference(avatar_split_clause,[],[f11607,f3032,f2739,f2721,f2236]) ).
fof(f2236,plain,
( spl130_232
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_232])]) ).
fof(f11607,plain,
( e1 = op(e3,e2)
| ~ spl130_324
| ~ spl130_328
| ~ spl130_370 ),
inference(forward_demodulation,[],[f2723,f9631]) ).
fof(f9631,plain,
( e2 = e4
| ~ spl130_328
| ~ spl130_370 ),
inference(superposition,[],[f2741,f3034]) ).
fof(f11698,plain,
( spl130_382
| ~ spl130_328
| ~ spl130_370 ),
inference(avatar_split_clause,[],[f11541,f3032,f2739,f4315]) ).
fof(f11541,plain,
( e2 = op(e1,e2)
| ~ spl130_328
| ~ spl130_370 ),
inference(forward_demodulation,[],[f2741,f9631]) ).
fof(f11695,plain,
( spl130_413
| ~ spl130_175
| ~ spl130_411 ),
inference(avatar_split_clause,[],[f11262,f9720,f1935,f9764]) ).
fof(f9720,plain,
( spl130_411
<=> e0 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_411])]) ).
fof(f11262,plain,
( op(e4,e2) = unit
| ~ spl130_175
| ~ spl130_411 ),
inference(forward_demodulation,[],[f9722,f1936]) ).
fof(f9722,plain,
( e0 = op(e4,e2)
| ~ spl130_411 ),
inference(avatar_component_clause,[],[f9720]) ).
fof(f11681,plain,
( ~ spl130_397
| ~ spl130_175
| spl130_268 ),
inference(avatar_split_clause,[],[f2889,f2425,f1935,f5870]) ).
fof(f2425,plain,
( spl130_268
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_268])]) ).
fof(f2889,plain,
( unit != op(e1,unit)
| ~ spl130_175
| spl130_268 ),
inference(superposition,[],[f2427,f1936]) ).
fof(f2427,plain,
( e0 != op(e1,e0)
| spl130_268 ),
inference(avatar_component_clause,[],[f2425]) ).
fof(f11659,plain,
( spl130_354
| spl130_358
| spl130_176
| spl130_318
| ~ spl130_175
| ~ spl130_184
| ~ spl130_190
| ~ spl130_396 ),
inference(avatar_split_clause,[],[f11496,f5774,f2011,f1980,f1935,f2694,f1940,f2972,f2951]) ).
fof(f11496,plain,
( e4 = unit
| e3 = unit
| op(e3,e3) = unit
| op(e4,e3) = unit
| ~ spl130_175
| ~ spl130_184
| ~ spl130_190
| ~ spl130_396 ),
inference(forward_demodulation,[],[f11495,f2013]) ).
fof(f11495,plain,
( e3 = unit
| op(e2,e3) = unit
| op(e3,e3) = unit
| op(e4,e3) = unit
| ~ spl130_175
| ~ spl130_184
| ~ spl130_396 ),
inference(duplicate_literal_removal,[],[f11494]) ).
fof(f11494,plain,
( e3 = unit
| e3 = unit
| op(e2,e3) = unit
| op(e3,e3) = unit
| op(e4,e3) = unit
| ~ spl130_175
| ~ spl130_184
| ~ spl130_396 ),
inference(forward_demodulation,[],[f11343,f1982]) ).
fof(f11641,plain,
( spl130_151
| spl130_349
| spl130_170
| ~ spl130_175
| ~ spl130_184
| ~ spl130_328
| ~ spl130_370
| ~ spl130_396 ),
inference(avatar_split_clause,[],[f11534,f5774,f3032,f2739,f1980,f1935,f1910,f2840,f1821]) ).
fof(f11534,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e3,e3)
| ~ spl130_175
| ~ spl130_184
| ~ spl130_328
| ~ spl130_370
| ~ spl130_396 ),
inference(duplicate_literal_removal,[],[f11533]) ).
fof(f11533,plain,
( e1 = e3
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e3,e3)
| ~ spl130_175
| ~ spl130_184
| ~ spl130_328
| ~ spl130_370
| ~ spl130_396 ),
inference(forward_demodulation,[],[f11532,f1982]) ).
fof(f11532,plain,
( e1 = op(unit,e3)
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e3,e3)
| ~ spl130_175
| ~ spl130_328
| ~ spl130_370
| ~ spl130_396 ),
inference(forward_demodulation,[],[f11531,f1936]) ).
fof(f11531,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl130_328
| ~ spl130_370
| ~ spl130_396 ),
inference(forward_demodulation,[],[f11039,f5776]) ).
fof(f11039,plain,
( e1 = op(e2,e3)
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl130_328
| ~ spl130_370 ),
inference(duplicate_literal_removal,[],[f11038]) ).
fof(f11038,plain,
( e1 = op(e2,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl130_328
| ~ spl130_370 ),
inference(forward_demodulation,[],[f829,f9631]) ).
fof(f829,plain,
( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f11626,plain,
( spl130_170
| ~ spl130_154
| ~ spl130_324
| ~ spl130_328
| ~ spl130_370 ),
inference(avatar_split_clause,[],[f11625,f3032,f2739,f2721,f1834,f1910]) ).
fof(f11625,plain,
( e1 = e3
| ~ spl130_154
| ~ spl130_324
| ~ spl130_328
| ~ spl130_370 ),
inference(forward_demodulation,[],[f1836,f11607]) ).
fof(f11423,plain,
( spl130_171
| ~ spl130_175
| ~ spl130_180
| ~ spl130_332 ),
inference(avatar_split_clause,[],[f11377,f2759,f1960,f1935,f1915]) ).
fof(f11377,plain,
( e1 = e4
| ~ spl130_175
| ~ spl130_180
| ~ spl130_332 ),
inference(forward_demodulation,[],[f11376,f1962]) ).
fof(f11376,plain,
( e4 = op(unit,e1)
| ~ spl130_175
| ~ spl130_332 ),
inference(forward_demodulation,[],[f2760,f1936]) ).
fof(f11358,plain,
( ~ spl130_64
| spl130_170
| ~ spl130_289 ),
inference(avatar_split_clause,[],[f11322,f2540,f1910,f1356]) ).
fof(f1356,plain,
( spl130_64
<=> sP111 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_64])]) ).
fof(f11322,plain,
( e1 = e3
| ~ sP111
| ~ spl130_289 ),
inference(trivial_inequality_removal,[],[f11321]) ).
fof(f11321,plain,
( e4 != e4
| e1 = e3
| ~ sP111
| ~ spl130_289 ),
inference(forward_demodulation,[],[f1381,f2541]) ).
fof(f1381,plain,
( e1 = e3
| e4 != op(e2,e1)
| ~ sP111 ),
inference(forward_demodulation,[],[f422,f795]) ).
fof(f422,plain,
( e1 = op(e2,e4)
| e4 != op(e2,e1)
| ~ sP111 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
( ( e4 != unit
& e1 = op(e2,e4) )
| e4 != op(e2,e1)
| ~ sP111 ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
( ( e4 != unit
& e1 = op(e2,e4) )
| e4 != op(e2,e1)
| ~ sP111 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).
fof(f11346,plain,
( spl130_328
| spl130_319
| spl130_172
| spl130_169
| ~ spl130_134
| ~ spl130_175
| ~ spl130_337
| ~ spl130_396 ),
inference(avatar_split_clause,[],[f11303,f5774,f2782,f1935,f1740,f1905,f1920,f2698,f2739]) ).
fof(f11303,plain,
( e1 = e2
| e2 = e3
| e2 = unit
| e2 = op(e1,e4)
| ~ spl130_134
| ~ spl130_175
| ~ spl130_337
| ~ spl130_396 ),
inference(forward_demodulation,[],[f11302,f1742]) ).
fof(f11302,plain,
( e2 = e3
| e2 = unit
| e2 = op(e1,e4)
| e2 = op(e1,e0)
| ~ spl130_175
| ~ spl130_337
| ~ spl130_396 ),
inference(duplicate_literal_removal,[],[f11301]) ).
fof(f11301,plain,
( e2 = e3
| e2 = e3
| e2 = unit
| e2 = op(e1,e4)
| e2 = op(e1,e0)
| ~ spl130_175
| ~ spl130_337
| ~ spl130_396 ),
inference(forward_demodulation,[],[f11300,f2783]) ).
fof(f11300,plain,
( e2 = e3
| e2 = unit
| e2 = op(e1,e4)
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| ~ spl130_175
| ~ spl130_396 ),
inference(forward_demodulation,[],[f10430,f5776]) ).
fof(f11325,plain,
( spl130_155
| spl130_173
| spl130_171
| spl130_174
| ~ spl130_175
| ~ spl130_184
| ~ spl130_349
| ~ spl130_377
| ~ spl130_396 ),
inference(avatar_split_clause,[],[f11274,f5774,f3538,f2840,f1980,f1935,f1930,f1915,f1925,f1839]) ).
fof(f11274,plain,
( e3 = e4
| e1 = e4
| e2 = e4
| e4 = op(e3,e3)
| ~ spl130_175
| ~ spl130_184
| ~ spl130_349
| ~ spl130_377
| ~ spl130_396 ),
inference(duplicate_literal_removal,[],[f11273]) ).
fof(f11273,plain,
( e3 = e4
| e3 = e4
| e1 = e4
| e2 = e4
| e4 = op(e3,e3)
| ~ spl130_175
| ~ spl130_184
| ~ spl130_349
| ~ spl130_377
| ~ spl130_396 ),
inference(forward_demodulation,[],[f11272,f1982]) ).
fof(f11272,plain,
( e4 = op(unit,e3)
| e3 = e4
| e1 = e4
| e2 = e4
| e4 = op(e3,e3)
| ~ spl130_175
| ~ spl130_349
| ~ spl130_377
| ~ spl130_396 ),
inference(forward_demodulation,[],[f11271,f1936]) ).
fof(f11271,plain,
( e3 = e4
| e1 = e4
| e2 = e4
| e4 = op(e3,e3)
| e4 = op(e0,e3)
| ~ spl130_349
| ~ spl130_377
| ~ spl130_396 ),
inference(forward_demodulation,[],[f11270,f5776]) ).
fof(f11270,plain,
( e1 = e4
| e2 = e4
| e4 = op(e3,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3)
| ~ spl130_349
| ~ spl130_377 ),
inference(forward_demodulation,[],[f9893,f2841]) ).
fof(f9893,plain,
( e2 = e4
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3)
| ~ spl130_377 ),
inference(forward_demodulation,[],[f835,f3540]) ).
fof(f11313,plain,
( spl130_173
| ~ spl130_144
| ~ spl130_289 ),
inference(avatar_split_clause,[],[f11306,f2540,f1788,f1925]) ).
fof(f11306,plain,
( e2 = e4
| ~ spl130_144
| ~ spl130_289 ),
inference(forward_demodulation,[],[f2541,f1790]) ).
fof(f1790,plain,
( e2 = op(e2,e1)
| ~ spl130_144 ),
inference(avatar_component_clause,[],[f1788]) ).
fof(f11261,plain,
( spl130_384
| ~ spl130_321
| ~ spl130_328
| ~ spl130_370 ),
inference(avatar_split_clause,[],[f11090,f3032,f2739,f2708,f4323]) ).
fof(f11090,plain,
( e2 = op(e3,e2)
| ~ spl130_321
| ~ spl130_328
| ~ spl130_370 ),
inference(forward_demodulation,[],[f2709,f9631]) ).
fof(f11260,plain,
( ~ spl130_67
| spl130_177
| ~ spl130_144
| ~ spl130_328
| ~ spl130_370
| ~ spl130_413 ),
inference(avatar_split_clause,[],[f11253,f9764,f3032,f2739,f1788,f1945,f1372]) ).
fof(f1372,plain,
( spl130_67
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_67])]) ).
fof(f11253,plain,
( e1 = unit
| ~ sP61
| ~ spl130_144
| ~ spl130_328
| ~ spl130_370
| ~ spl130_413 ),
inference(trivial_inequality_removal,[],[f11252]) ).
fof(f11252,plain,
( e2 != e2
| e1 = unit
| ~ sP61
| ~ spl130_144
| ~ spl130_328
| ~ spl130_370
| ~ spl130_413 ),
inference(forward_demodulation,[],[f10933,f1790]) ).
fof(f10933,plain,
( e1 = unit
| e2 != op(e2,e1)
| ~ sP61
| ~ spl130_328
| ~ spl130_370
| ~ spl130_413 ),
inference(forward_demodulation,[],[f522,f10834]) ).
fof(f10834,plain,
( op(e2,e2) = unit
| ~ spl130_328
| ~ spl130_370
| ~ spl130_413 ),
inference(forward_demodulation,[],[f9766,f9631]) ).
fof(f522,plain,
( e1 = op(e2,e2)
| e2 != op(e2,e1)
| ~ sP61 ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
( ( e2 != unit
& e1 = op(e2,e2) )
| e2 != op(e2,e1)
| ~ sP61 ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e2 != unit
& e1 = op(e2,e2) )
| e2 != op(e2,e1)
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f11251,plain,
( ~ spl130_361
| ~ spl130_175
| ~ spl130_328
| ~ spl130_370
| spl130_411 ),
inference(avatar_split_clause,[],[f11084,f9720,f3032,f2739,f1935,f2987]) ).
fof(f11084,plain,
( op(e2,e2) != unit
| ~ spl130_175
| ~ spl130_328
| ~ spl130_370
| spl130_411 ),
inference(forward_demodulation,[],[f10923,f1936]) ).
fof(f10923,plain,
( e0 != op(e2,e2)
| ~ spl130_328
| ~ spl130_370
| spl130_411 ),
inference(forward_demodulation,[],[f9721,f9631]) ).
fof(f9721,plain,
( e0 != op(e4,e2)
| spl130_411 ),
inference(avatar_component_clause,[],[f9720]) ).
fof(f11242,plain,
( spl130_144
| ~ spl130_289
| ~ spl130_328
| ~ spl130_370 ),
inference(avatar_split_clause,[],[f10942,f3032,f2739,f2540,f1788]) ).
fof(f10942,plain,
( e2 = op(e2,e1)
| ~ spl130_289
| ~ spl130_328
| ~ spl130_370 ),
inference(forward_demodulation,[],[f2541,f9631]) ).
fof(f11234,plain,
( ~ spl130_57
| spl130_172
| ~ spl130_328
| ~ spl130_337
| ~ spl130_370 ),
inference(avatar_split_clause,[],[f11230,f3032,f2782,f2739,f1920,f1318]) ).
fof(f11230,plain,
( e2 = e3
| ~ sP59
| ~ spl130_328
| ~ spl130_337
| ~ spl130_370 ),
inference(trivial_inequality_removal,[],[f11229]) ).
fof(f11229,plain,
( e2 != e2
| e2 = e3
| ~ sP59
| ~ spl130_328
| ~ spl130_337
| ~ spl130_370 ),
inference(forward_demodulation,[],[f11228,f2741]) ).
fof(f11228,plain,
( e2 = e3
| e2 != op(e1,e4)
| ~ sP59
| ~ spl130_328
| ~ spl130_337
| ~ spl130_370 ),
inference(forward_demodulation,[],[f10052,f9631]) ).
fof(f10052,plain,
( e3 = e4
| e2 != op(e1,e4)
| ~ sP59
| ~ spl130_337 ),
inference(forward_demodulation,[],[f526,f2783]) ).
fof(f11227,plain,
( spl130_174
| ~ spl130_154
| ~ spl130_321 ),
inference(avatar_split_clause,[],[f5494,f2708,f1834,f1930]) ).
fof(f5494,plain,
( e3 = e4
| ~ spl130_154
| ~ spl130_321 ),
inference(forward_demodulation,[],[f2709,f1836]) ).
fof(f11221,plain,
( spl130_170
| ~ spl130_328
| ~ spl130_370
| ~ spl130_400
| ~ spl130_417 ),
inference(avatar_split_clause,[],[f11220,f11216,f8850,f3032,f2739,f1910]) ).
fof(f8850,plain,
( spl130_400
<=> e1 = op(unit,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_400])]) ).
fof(f11220,plain,
( e1 = e3
| ~ spl130_328
| ~ spl130_370
| ~ spl130_400
| ~ spl130_417 ),
inference(forward_demodulation,[],[f11218,f11205]) ).
fof(f11205,plain,
( e1 = op(unit,e2)
| ~ spl130_328
| ~ spl130_370
| ~ spl130_400 ),
inference(forward_demodulation,[],[f8851,f9631]) ).
fof(f8851,plain,
( e1 = op(unit,e4)
| ~ spl130_400 ),
inference(avatar_component_clause,[],[f8850]) ).
fof(f11219,plain,
( spl130_417
| ~ spl130_175
| ~ spl130_340 ),
inference(avatar_split_clause,[],[f10651,f2797,f1935,f11216]) ).
fof(f10651,plain,
( e3 = op(unit,e2)
| ~ spl130_175
| ~ spl130_340 ),
inference(forward_demodulation,[],[f2798,f1936]) ).
fof(f11213,plain,
( ~ spl130_409
| ~ spl130_175
| spl130_343 ),
inference(avatar_split_clause,[],[f10121,f2810,f1935,f9669]) ).
fof(f9669,plain,
( spl130_409
<=> e1 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_409])]) ).
fof(f2810,plain,
( spl130_343
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_343])]) ).
fof(f10121,plain,
( e1 != op(unit,e3)
| ~ spl130_175
| spl130_343 ),
inference(forward_demodulation,[],[f2811,f1936]) ).
fof(f2811,plain,
( e1 != op(e0,e3)
| spl130_343 ),
inference(avatar_component_clause,[],[f2810]) ).
fof(f11211,plain,
( ~ spl130_416
| ~ spl130_175
| spl130_204 ),
inference(avatar_split_clause,[],[f2872,f2088,f1935,f11208]) ).
fof(f11208,plain,
( spl130_416
<=> e1 = op(e4,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_416])]) ).
fof(f2088,plain,
( spl130_204
<=> e1 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_204])]) ).
fof(f2872,plain,
( e1 != op(e4,unit)
| ~ spl130_175
| spl130_204 ),
inference(superposition,[],[f2090,f1936]) ).
fof(f2090,plain,
( e1 != op(e4,e0)
| spl130_204 ),
inference(avatar_component_clause,[],[f2088]) ).
fof(f11204,plain,
( spl130_400
| ~ spl130_175
| ~ spl130_333 ),
inference(avatar_split_clause,[],[f8978,f2763,f1935,f8850]) ).
fof(f8978,plain,
( e1 = op(unit,e4)
| ~ spl130_175
| ~ spl130_333 ),
inference(forward_demodulation,[],[f2765,f1936]) ).
fof(f11174,plain,
( ~ spl130_398
| ~ spl130_175
| spl130_202 ),
inference(avatar_split_clause,[],[f2871,f2077,f1935,f5876]) ).
fof(f2077,plain,
( spl130_202
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_202])]) ).
fof(f2871,plain,
( e1 != op(e3,unit)
| ~ spl130_175
| spl130_202 ),
inference(superposition,[],[f2079,f1936]) ).
fof(f2079,plain,
( e1 != op(e3,e0)
| spl130_202 ),
inference(avatar_component_clause,[],[f2077]) ).
fof(f11172,plain,
( ~ spl130_143
| ~ spl130_188
| spl130_230 ),
inference(avatar_split_clause,[],[f2228,f2224,f2000,f1784]) ).
fof(f1784,plain,
( spl130_143
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_143])]) ).
fof(f2000,plain,
( spl130_188
<=> e1 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_188])]) ).
fof(f2224,plain,
( spl130_230
<=> op(e2,e2) = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_230])]) ).
fof(f2228,plain,
( e1 != op(e2,e2)
| ~ spl130_188
| spl130_230 ),
inference(forward_demodulation,[],[f2226,f2002]) ).
fof(f2002,plain,
( e1 = op(e4,e2)
| ~ spl130_188 ),
inference(avatar_component_clause,[],[f2000]) ).
fof(f2226,plain,
( op(e2,e2) != op(e4,e2)
| spl130_230 ),
inference(avatar_component_clause,[],[f2224]) ).
fof(f11164,plain,
( spl130_396
| spl130_176
| spl130_337
| spl130_170
| ~ spl130_134
| ~ spl130_175
| ~ spl130_328
| ~ spl130_370 ),
inference(avatar_split_clause,[],[f10948,f3032,f2739,f1935,f1740,f1910,f2782,f1940,f5774]) ).
fof(f10948,plain,
( e1 = e3
| e3 = op(e1,e2)
| e3 = unit
| e3 = op(e1,e3)
| ~ spl130_134
| ~ spl130_175
| ~ spl130_328
| ~ spl130_370 ),
inference(forward_demodulation,[],[f10947,f1742]) ).
fof(f10947,plain,
( e3 = op(e1,e2)
| e3 = unit
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| ~ spl130_175
| ~ spl130_328
| ~ spl130_370 ),
inference(duplicate_literal_removal,[],[f10946]) ).
fof(f10946,plain,
( e3 = op(e1,e2)
| e3 = unit
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl130_175
| ~ spl130_328
| ~ spl130_370 ),
inference(forward_demodulation,[],[f9606,f9631]) ).
fof(f9606,plain,
( e3 = unit
| e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl130_175 ),
inference(forward_demodulation,[],[f1013,f1936]) ).
fof(f11150,plain,
( spl130_177
| ~ spl130_175
| ~ spl130_349
| ~ spl130_350 ),
inference(avatar_split_clause,[],[f11127,f2846,f2840,f1935,f1945]) ).
fof(f11127,plain,
( e1 = unit
| ~ spl130_175
| ~ spl130_349
| ~ spl130_350 ),
inference(forward_demodulation,[],[f2841,f10943]) ).
fof(f10943,plain,
( op(e2,e3) = unit
| ~ spl130_175
| ~ spl130_350 ),
inference(forward_demodulation,[],[f2847,f1936]) ).
fof(f11146,plain,
( spl130_319
| ~ spl130_175
| ~ spl130_322
| ~ spl130_328
| ~ spl130_346
| ~ spl130_370 ),
inference(avatar_split_clause,[],[f11048,f3032,f2824,f2739,f2712,f1935,f2698]) ).
fof(f11048,plain,
( e2 = unit
| ~ spl130_175
| ~ spl130_322
| ~ spl130_328
| ~ spl130_346
| ~ spl130_370 ),
inference(forward_demodulation,[],[f11047,f10941]) ).
fof(f10941,plain,
( op(e3,e2) = unit
| ~ spl130_175
| ~ spl130_346 ),
inference(forward_demodulation,[],[f2826,f1936]) ).
fof(f11047,plain,
( e2 = op(e3,e2)
| ~ spl130_322
| ~ spl130_328
| ~ spl130_370 ),
inference(forward_demodulation,[],[f2714,f9631]) ).
fof(f11122,plain,
( spl130_361
| ~ spl130_141
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f10340,f1935,f1775,f2987]) ).
fof(f10340,plain,
( op(e2,e2) = unit
| ~ spl130_141
| ~ spl130_175 ),
inference(forward_demodulation,[],[f1776,f1936]) ).
fof(f11119,plain,
( spl130_399
| ~ spl130_128
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f11104,f1935,f1713,f8731]) ).
fof(f11104,plain,
( unit = op(unit,e2)
| ~ spl130_128
| ~ spl130_175 ),
inference(forward_demodulation,[],[f1715,f1936]) ).
fof(f11114,plain,
( spl130_358
| ~ spl130_149
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f11043,f1935,f1812,f2972]) ).
fof(f11043,plain,
( op(e3,e3) = unit
| ~ spl130_149
| ~ spl130_175 ),
inference(forward_demodulation,[],[f1813,f1936]) ).
fof(f11076,plain,
( spl130_177
| ~ spl130_143
| ~ spl130_175
| ~ spl130_322
| ~ spl130_328
| ~ spl130_346
| ~ spl130_370
| ~ spl130_394 ),
inference(avatar_split_clause,[],[f11065,f5398,f3032,f2824,f2739,f2712,f1935,f1784,f1945]) ).
fof(f5398,plain,
( spl130_394
<=> e0 = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_394])]) ).
fof(f11065,plain,
( e1 = unit
| ~ spl130_143
| ~ spl130_175
| ~ spl130_322
| ~ spl130_328
| ~ spl130_346
| ~ spl130_370
| ~ spl130_394 ),
inference(forward_demodulation,[],[f11064,f1936]) ).
fof(f11064,plain,
( e0 = e1
| ~ spl130_143
| ~ spl130_175
| ~ spl130_322
| ~ spl130_328
| ~ spl130_346
| ~ spl130_370
| ~ spl130_394 ),
inference(forward_demodulation,[],[f11063,f5399]) ).
fof(f5399,plain,
( e0 = op(unit,unit)
| ~ spl130_394 ),
inference(avatar_component_clause,[],[f5398]) ).
fof(f11063,plain,
( e1 = op(unit,unit)
| ~ spl130_143
| ~ spl130_175
| ~ spl130_322
| ~ spl130_328
| ~ spl130_346
| ~ spl130_370 ),
inference(forward_demodulation,[],[f1785,f11048]) ).
fof(f1785,plain,
( e1 = op(e2,e2)
| ~ spl130_143 ),
inference(avatar_component_clause,[],[f1784]) ).
fof(f11058,plain,
( spl130_177
| ~ spl130_143
| ~ spl130_328
| ~ spl130_370
| ~ spl130_413 ),
inference(avatar_split_clause,[],[f11057,f9764,f3032,f2739,f1784,f1945]) ).
fof(f11057,plain,
( e1 = unit
| ~ spl130_143
| ~ spl130_328
| ~ spl130_370
| ~ spl130_413 ),
inference(forward_demodulation,[],[f1785,f10834]) ).
fof(f10931,plain,
( spl130_177
| ~ spl130_133
| ~ spl130_175
| ~ spl130_189
| ~ spl130_396
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f10913,f9727,f5774,f2005,f1935,f1736,f1945]) ).
fof(f10913,plain,
( e1 = unit
| ~ spl130_133
| ~ spl130_175
| ~ spl130_189
| ~ spl130_396
| ~ spl130_412 ),
inference(forward_demodulation,[],[f10742,f1936]) ).
fof(f10742,plain,
( e0 = e1
| ~ spl130_133
| ~ spl130_189
| ~ spl130_396
| ~ spl130_412 ),
inference(forward_demodulation,[],[f10741,f1737]) ).
fof(f10847,plain,
( spl130_177
| ~ spl130_175
| ~ spl130_328
| ~ spl130_370
| ~ spl130_411
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f10796,f9727,f9720,f3032,f2739,f1935,f1945]) ).
fof(f10796,plain,
( e1 = unit
| ~ spl130_175
| ~ spl130_328
| ~ spl130_370
| ~ spl130_411
| ~ spl130_412 ),
inference(forward_demodulation,[],[f9731,f10795]) ).
fof(f10795,plain,
( op(e2,e2) = unit
| ~ spl130_175
| ~ spl130_328
| ~ spl130_370
| ~ spl130_411 ),
inference(forward_demodulation,[],[f9724,f1936]) ).
fof(f9724,plain,
( e0 = op(e2,e2)
| ~ spl130_328
| ~ spl130_370
| ~ spl130_411 ),
inference(forward_demodulation,[],[f9722,f9631]) ).
fof(f9731,plain,
( e1 = op(e2,e2)
| ~ spl130_328
| ~ spl130_370
| ~ spl130_412 ),
inference(forward_demodulation,[],[f9729,f9631]) ).
fof(f10782,plain,
( spl130_171
| ~ spl130_180
| ~ spl130_183
| ~ spl130_289
| ~ spl130_401 ),
inference(avatar_split_clause,[],[f10703,f8934,f2540,f1975,f1960,f1915]) ).
fof(f8934,plain,
( spl130_401
<=> unit = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_401])]) ).
fof(f10703,plain,
( e1 = e4
| ~ spl130_180
| ~ spl130_183
| ~ spl130_289
| ~ spl130_401 ),
inference(forward_demodulation,[],[f10702,f1962]) ).
fof(f10702,plain,
( e4 = op(unit,e1)
| ~ spl130_183
| ~ spl130_289
| ~ spl130_401 ),
inference(forward_demodulation,[],[f2541,f10655]) ).
fof(f10655,plain,
( e2 = unit
| ~ spl130_183
| ~ spl130_401 ),
inference(superposition,[],[f8936,f1977]) ).
fof(f8936,plain,
( unit = op(e2,unit)
| ~ spl130_401 ),
inference(avatar_component_clause,[],[f8934]) ).
fof(f10657,plain,
( spl130_173
| ~ spl130_189
| ~ spl130_322
| ~ spl130_370
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f10519,f9727,f3032,f2712,f2005,f1925]) ).
fof(f10519,plain,
( e2 = e4
| ~ spl130_189
| ~ spl130_322
| ~ spl130_370
| ~ spl130_412 ),
inference(forward_demodulation,[],[f3034,f10300]) ).
fof(f10300,plain,
( e2 = op(e1,e4)
| ~ spl130_189
| ~ spl130_322
| ~ spl130_412 ),
inference(forward_demodulation,[],[f2714,f9760]) ).
fof(f10654,plain,
( spl130_401
| ~ spl130_175
| ~ spl130_391 ),
inference(avatar_split_clause,[],[f10372,f4991,f1935,f8934]) ).
fof(f10372,plain,
( unit = op(e2,unit)
| ~ spl130_175
| ~ spl130_391 ),
inference(forward_demodulation,[],[f4993,f1936]) ).
fof(f10612,plain,
( spl130_171
| ~ spl130_154
| ~ spl130_189
| ~ spl130_321
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f10594,f9727,f2708,f2005,f1834,f1915]) ).
fof(f10594,plain,
( e1 = e4
| ~ spl130_154
| ~ spl130_189
| ~ spl130_321
| ~ spl130_412 ),
inference(forward_demodulation,[],[f5494,f9760]) ).
fof(f10592,plain,
( spl130_176
| ~ spl130_154
| ~ spl130_175
| ~ spl130_189
| ~ spl130_321
| ~ spl130_346
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f10583,f9727,f2824,f2708,f2005,f1935,f1834,f1940]) ).
fof(f10583,plain,
( e3 = unit
| ~ spl130_154
| ~ spl130_175
| ~ spl130_189
| ~ spl130_321
| ~ spl130_346
| ~ spl130_412 ),
inference(forward_demodulation,[],[f5494,f10557]) ).
fof(f10557,plain,
( e4 = unit
| ~ spl130_175
| ~ spl130_189
| ~ spl130_321
| ~ spl130_346
| ~ spl130_412 ),
inference(forward_demodulation,[],[f10304,f10384]) ).
fof(f10384,plain,
( op(e1,e2) = unit
| ~ spl130_175
| ~ spl130_189
| ~ spl130_346
| ~ spl130_412 ),
inference(forward_demodulation,[],[f10383,f1936]) ).
fof(f10429,plain,
( spl130_177
| ~ spl130_133
| ~ spl130_175
| ~ spl130_189
| ~ spl130_321
| ~ spl130_337
| ~ spl130_370
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f10397,f9727,f3032,f2782,f2708,f2005,f1935,f1736,f1945]) ).
fof(f10397,plain,
( e1 = unit
| ~ spl130_133
| ~ spl130_175
| ~ spl130_189
| ~ spl130_321
| ~ spl130_337
| ~ spl130_370
| ~ spl130_412 ),
inference(forward_demodulation,[],[f10396,f1936]) ).
fof(f10396,plain,
( e0 = e1
| ~ spl130_133
| ~ spl130_189
| ~ spl130_321
| ~ spl130_337
| ~ spl130_370
| ~ spl130_412 ),
inference(forward_demodulation,[],[f10395,f1737]) ).
fof(f10381,plain,
( spl130_177
| ~ spl130_133
| ~ spl130_175
| ~ spl130_189
| ~ spl130_321
| ~ spl130_328
| ~ spl130_337
| ~ spl130_370
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f10360,f9727,f3032,f2782,f2739,f2708,f2005,f1935,f1736,f1945]) ).
fof(f10360,plain,
( e1 = unit
| ~ spl130_133
| ~ spl130_175
| ~ spl130_189
| ~ spl130_321
| ~ spl130_328
| ~ spl130_337
| ~ spl130_370
| ~ spl130_412 ),
inference(forward_demodulation,[],[f10359,f1936]) ).
fof(f10359,plain,
( e0 = e1
| ~ spl130_133
| ~ spl130_189
| ~ spl130_321
| ~ spl130_328
| ~ spl130_337
| ~ spl130_370
| ~ spl130_412 ),
inference(forward_demodulation,[],[f10358,f1737]) ).
fof(f10358,plain,
( e1 = op(e1,e1)
| ~ spl130_189
| ~ spl130_321
| ~ spl130_328
| ~ spl130_337
| ~ spl130_370
| ~ spl130_412 ),
inference(forward_demodulation,[],[f9731,f10351]) ).
fof(f10351,plain,
( e1 = e2
| ~ spl130_189
| ~ spl130_321
| ~ spl130_328
| ~ spl130_337
| ~ spl130_370
| ~ spl130_412 ),
inference(forward_demodulation,[],[f10350,f10306]) ).
fof(f10350,plain,
( e2 = e4
| ~ spl130_328
| ~ spl130_370 ),
inference(forward_demodulation,[],[f3034,f2741]) ).
fof(f10356,plain,
( spl130_177
| ~ spl130_141
| ~ spl130_175
| ~ spl130_328
| ~ spl130_370
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f10341,f9727,f3032,f2739,f1935,f1775,f1945]) ).
fof(f10341,plain,
( e1 = unit
| ~ spl130_141
| ~ spl130_175
| ~ spl130_328
| ~ spl130_370
| ~ spl130_412 ),
inference(forward_demodulation,[],[f9731,f10340]) ).
fof(f10326,plain,
( spl130_318
| ~ spl130_133
| ~ spl130_175
| ~ spl130_189
| ~ spl130_239
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f10315,f9727,f2273,f2005,f1935,f1736,f2694]) ).
fof(f10315,plain,
( e4 = unit
| ~ spl130_133
| ~ spl130_175
| ~ spl130_189
| ~ spl130_239
| ~ spl130_412 ),
inference(forward_demodulation,[],[f10314,f1936]) ).
fof(f10314,plain,
( e0 = e4
| ~ spl130_133
| ~ spl130_189
| ~ spl130_239
| ~ spl130_412 ),
inference(forward_demodulation,[],[f10313,f1737]) ).
fof(f10313,plain,
( e4 = op(e1,e1)
| ~ spl130_189
| ~ spl130_239
| ~ spl130_412 ),
inference(forward_demodulation,[],[f2274,f9760]) ).
fof(f10141,plain,
( spl130_174
| ~ spl130_239
| ~ spl130_396 ),
inference(avatar_split_clause,[],[f10035,f5774,f2273,f1930]) ).
fof(f10035,plain,
( e3 = e4
| ~ spl130_239
| ~ spl130_396 ),
inference(forward_demodulation,[],[f2274,f5776]) ).
fof(f10039,plain,
( spl130_319
| ~ spl130_175
| ~ spl130_189
| ~ spl130_322
| ~ spl130_333
| ~ spl130_404
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f10021,f9727,f9165,f2763,f2712,f2005,f1935,f2698]) ).
fof(f9165,plain,
( spl130_404
<=> op(e2,e4) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_404])]) ).
fof(f10021,plain,
( e2 = unit
| ~ spl130_175
| ~ spl130_189
| ~ spl130_322
| ~ spl130_333
| ~ spl130_404
| ~ spl130_412 ),
inference(forward_demodulation,[],[f10020,f10011]) ).
fof(f10011,plain,
( unit = op(unit,e4)
| ~ spl130_175
| ~ spl130_333
| ~ spl130_404
| ~ spl130_412 ),
inference(forward_demodulation,[],[f8978,f9759]) ).
fof(f9759,plain,
( e1 = unit
| ~ spl130_404
| ~ spl130_412 ),
inference(superposition,[],[f9729,f9167]) ).
fof(f9167,plain,
( op(e2,e4) = unit
| ~ spl130_404 ),
inference(avatar_component_clause,[],[f9165]) ).
fof(f10020,plain,
( e2 = op(unit,e4)
| ~ spl130_189
| ~ spl130_322
| ~ spl130_404 ),
inference(forward_demodulation,[],[f2714,f9755]) ).
fof(f9755,plain,
( e3 = unit
| ~ spl130_189
| ~ spl130_404 ),
inference(superposition,[],[f9167,f2007]) ).
fof(f9889,plain,
( spl130_399
| ~ spl130_175
| ~ spl130_189
| ~ spl130_340
| ~ spl130_404 ),
inference(avatar_split_clause,[],[f9875,f9165,f2797,f2005,f1935,f8731]) ).
fof(f9875,plain,
( unit = op(unit,e2)
| ~ spl130_175
| ~ spl130_189
| ~ spl130_340
| ~ spl130_404 ),
inference(forward_demodulation,[],[f9752,f9755]) ).
fof(f9752,plain,
( e3 = op(unit,e2)
| ~ spl130_175
| ~ spl130_340 ),
inference(forward_demodulation,[],[f2798,f1936]) ).
fof(f9887,plain,
( ~ spl130_415
| ~ spl130_175
| spl130_200 ),
inference(avatar_split_clause,[],[f2870,f2066,f1935,f9884]) ).
fof(f9884,plain,
( spl130_415
<=> e1 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_415])]) ).
fof(f2066,plain,
( spl130_200
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_200])]) ).
fof(f2870,plain,
( e1 != op(e2,unit)
| ~ spl130_175
| spl130_200 ),
inference(superposition,[],[f2068,f1936]) ).
fof(f2068,plain,
( e1 != op(e2,e0)
| spl130_200 ),
inference(avatar_component_clause,[],[f2066]) ).
fof(f9827,plain,
( spl130_399
| ~ spl130_154
| ~ spl130_184
| ~ spl130_404
| ~ spl130_409
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f9826,f9727,f9669,f9165,f1980,f1834,f8731]) ).
fof(f9826,plain,
( unit = op(unit,e2)
| ~ spl130_154
| ~ spl130_184
| ~ spl130_404
| ~ spl130_409
| ~ spl130_412 ),
inference(forward_demodulation,[],[f9825,f9759]) ).
fof(f9825,plain,
( e1 = op(e1,e2)
| ~ spl130_154
| ~ spl130_184
| ~ spl130_409 ),
inference(forward_demodulation,[],[f1836,f9673]) ).
fof(f9673,plain,
( e1 = e3
| ~ spl130_184
| ~ spl130_409 ),
inference(superposition,[],[f9671,f1982]) ).
fof(f9671,plain,
( e1 = op(unit,e3)
| ~ spl130_409 ),
inference(avatar_component_clause,[],[f9669]) ).
fof(f9783,plain,
( spl130_404
| ~ spl130_175
| ~ spl130_410 ),
inference(avatar_split_clause,[],[f9777,f9698,f1935,f9165]) ).
fof(f9698,plain,
( spl130_410
<=> e0 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_410])]) ).
fof(f9777,plain,
( op(e2,e4) = unit
| ~ spl130_175
| ~ spl130_410 ),
inference(forward_demodulation,[],[f9700,f1936]) ).
fof(f9700,plain,
( e0 = op(e2,e4)
| ~ spl130_410 ),
inference(avatar_component_clause,[],[f9698]) ).
fof(f9776,plain,
( spl130_399
| ~ spl130_404
| ~ spl130_412
| ~ spl130_414 ),
inference(avatar_split_clause,[],[f9774,f9770,f9727,f9165,f8731]) ).
fof(f9770,plain,
( spl130_414
<=> e1 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_414])]) ).
fof(f9774,plain,
( unit = op(unit,e2)
| ~ spl130_404
| ~ spl130_412
| ~ spl130_414 ),
inference(forward_demodulation,[],[f9772,f9759]) ).
fof(f9772,plain,
( e1 = op(unit,e2)
| ~ spl130_414 ),
inference(avatar_component_clause,[],[f9770]) ).
fof(f9773,plain,
( spl130_414
| ~ spl130_175
| ~ spl130_184
| ~ spl130_340
| ~ spl130_409 ),
inference(avatar_split_clause,[],[f9753,f9669,f2797,f1980,f1935,f9770]) ).
fof(f9753,plain,
( e1 = op(unit,e2)
| ~ spl130_175
| ~ spl130_184
| ~ spl130_340
| ~ spl130_409 ),
inference(forward_demodulation,[],[f9752,f9673]) ).
fof(f9767,plain,
( spl130_413
| ~ spl130_175
| ~ spl130_411 ),
inference(avatar_split_clause,[],[f9734,f9720,f1935,f9764]) ).
fof(f9734,plain,
( op(e4,e2) = unit
| ~ spl130_175
| ~ spl130_411 ),
inference(forward_demodulation,[],[f9722,f1936]) ).
fof(f9757,plain,
( ~ spl130_175
| spl130_141
| ~ spl130_361 ),
inference(avatar_split_clause,[],[f9707,f2987,f1775,f1935]) ).
fof(f9707,plain,
( e0 != unit
| spl130_141
| ~ spl130_361 ),
inference(superposition,[],[f1777,f2988]) ).
fof(f1777,plain,
( e0 != op(e2,e2)
| spl130_141 ),
inference(avatar_component_clause,[],[f1775]) ).
fof(f9745,plain,
( spl130_173
| spl130_319
| spl130_169
| ~ spl130_154
| ~ spl130_175
| ~ spl130_184
| ~ spl130_185
| ~ spl130_323
| ~ spl130_324
| ~ spl130_358
| ~ spl130_409 ),
inference(avatar_split_clause,[],[f9740,f9669,f2972,f2721,f2717,f1985,f1980,f1935,f1834,f1905,f2698,f1925]) ).
fof(f9740,plain,
( e1 = e2
| e2 = unit
| e2 = e4
| ~ spl130_154
| ~ spl130_175
| ~ spl130_184
| ~ spl130_185
| ~ spl130_323
| ~ spl130_324
| ~ spl130_358
| ~ spl130_409 ),
inference(duplicate_literal_removal,[],[f9739]) ).
fof(f9739,plain,
( e1 = e2
| e1 = e2
| e2 = unit
| e2 = e4
| ~ spl130_154
| ~ spl130_175
| ~ spl130_184
| ~ spl130_185
| ~ spl130_323
| ~ spl130_324
| ~ spl130_358
| ~ spl130_409 ),
inference(forward_demodulation,[],[f9738,f9673]) ).
fof(f9738,plain,
( e2 = e3
| e1 = e2
| e2 = unit
| e2 = e4
| ~ spl130_154
| ~ spl130_175
| ~ spl130_184
| ~ spl130_185
| ~ spl130_323
| ~ spl130_324
| ~ spl130_358
| ~ spl130_409 ),
inference(forward_demodulation,[],[f9737,f1836]) ).
fof(f9737,plain,
( e1 = e2
| e2 = unit
| e2 = e4
| e2 = op(e3,e2)
| ~ spl130_175
| ~ spl130_184
| ~ spl130_185
| ~ spl130_323
| ~ spl130_324
| ~ spl130_358
| ~ spl130_409 ),
inference(duplicate_literal_removal,[],[f9736]) ).
fof(f9736,plain,
( e1 = e2
| e2 = unit
| e2 = e4
| e1 = e2
| e2 = op(e3,e2)
| ~ spl130_175
| ~ spl130_184
| ~ spl130_185
| ~ spl130_323
| ~ spl130_324
| ~ spl130_358
| ~ spl130_409 ),
inference(forward_demodulation,[],[f9556,f9673]) ).
fof(f9556,plain,
( e2 = unit
| e2 = e3
| e2 = e4
| e1 = e2
| e2 = op(e3,e2)
| ~ spl130_175
| ~ spl130_185
| ~ spl130_323
| ~ spl130_324
| ~ spl130_358 ),
inference(forward_demodulation,[],[f9066,f2973]) ).
fof(f9066,plain,
( e2 = e3
| e2 = e4
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| ~ spl130_175
| ~ spl130_185
| ~ spl130_323
| ~ spl130_324 ),
inference(forward_demodulation,[],[f9065,f1987]) ).
fof(f9065,plain,
( e2 = op(e3,unit)
| e2 = e4
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| ~ spl130_175
| ~ spl130_323
| ~ spl130_324 ),
inference(forward_demodulation,[],[f9064,f1936]) ).
fof(f9064,plain,
( e2 = e4
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl130_323
| ~ spl130_324 ),
inference(forward_demodulation,[],[f8661,f2718]) ).
fof(f8661,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl130_324 ),
inference(forward_demodulation,[],[f830,f2723]) ).
fof(f9733,plain,
( spl130_177
| ~ spl130_328
| ~ spl130_361
| ~ spl130_370
| ~ spl130_412 ),
inference(avatar_split_clause,[],[f9732,f9727,f3032,f2987,f2739,f1945]) ).
fof(f9732,plain,
( e1 = unit
| ~ spl130_328
| ~ spl130_361
| ~ spl130_370
| ~ spl130_412 ),
inference(forward_demodulation,[],[f9731,f2988]) ).
fof(f9730,plain,
( spl130_200
| spl130_407
| spl130_143
| spl130_349
| spl130_412 ),
inference(avatar_split_clause,[],[f818,f9727,f2840,f1784,f9200,f2066]) ).
fof(f818,plain,
( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f9723,plain,
( spl130_128
| spl130_273
| spl130_141
| spl130_346
| spl130_411 ),
inference(avatar_split_clause,[],[f817,f9720,f2824,f1775,f2455,f1713]) ).
fof(f2455,plain,
( spl130_273
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_273])]) ).
fof(f817,plain,
( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f9706,plain,
( spl130_361
| ~ spl130_175
| ~ spl130_328
| ~ spl130_370
| ~ spl130_410 ),
inference(avatar_split_clause,[],[f9703,f9698,f3032,f2739,f1935,f2987]) ).
fof(f9703,plain,
( op(e2,e2) = unit
| ~ spl130_175
| ~ spl130_328
| ~ spl130_370
| ~ spl130_410 ),
inference(forward_demodulation,[],[f9702,f1936]) ).
fof(f9702,plain,
( e0 = op(e2,e2)
| ~ spl130_328
| ~ spl130_370
| ~ spl130_410 ),
inference(forward_demodulation,[],[f9700,f9631]) ).
fof(f9704,plain,
( ~ spl130_175
| spl130_213
| ~ spl130_363 ),
inference(avatar_split_clause,[],[f9682,f2997,f2135,f1935]) ).
fof(f2135,plain,
( spl130_213
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_213])]) ).
fof(f2997,plain,
( spl130_363
<=> op(e2,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_363])]) ).
fof(f9682,plain,
( e0 != unit
| spl130_213
| ~ spl130_363 ),
inference(superposition,[],[f2137,f2998]) ).
fof(f2998,plain,
( op(e2,e1) = unit
| ~ spl130_363 ),
inference(avatar_component_clause,[],[f2997]) ).
fof(f2137,plain,
( e0 != op(e2,e1)
| spl130_213 ),
inference(avatar_component_clause,[],[f2135]) ).
fof(f9701,plain,
( spl130_391
| spl130_213
| spl130_141
| spl130_350
| spl130_410 ),
inference(avatar_split_clause,[],[f816,f9698,f2846,f1775,f2135,f4991]) ).
fof(f816,plain,
( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f9696,plain,
( ~ spl130_62
| spl130_361
| ~ spl130_175
| ~ spl130_183 ),
inference(avatar_split_clause,[],[f9694,f1975,f1935,f2987,f1345]) ).
fof(f9694,plain,
( op(e2,e2) = unit
| ~ sP60
| ~ spl130_175
| ~ spl130_183 ),
inference(trivial_inequality_removal,[],[f9693]) ).
fof(f9693,plain,
( e2 != e2
| op(e2,e2) = unit
| ~ sP60
| ~ spl130_175
| ~ spl130_183 ),
inference(forward_demodulation,[],[f9692,f1977]) ).
fof(f9692,plain,
( e2 != op(e2,unit)
| op(e2,e2) = unit
| ~ sP60
| ~ spl130_175 ),
inference(forward_demodulation,[],[f9691,f1936]) ).
fof(f9691,plain,
( op(e2,e2) = unit
| e2 != op(e2,e0)
| ~ sP60
| ~ spl130_175 ),
inference(forward_demodulation,[],[f524,f1936]) ).
fof(f9690,plain,
( spl130_127
| spl130_347
| spl130_142
| spl130_345
| spl130_320 ),
inference(avatar_split_clause,[],[f801,f2703,f2820,f1779,f2829,f1709]) ).
fof(f801,plain,
( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f9678,plain,
( spl130_404
| spl130_318
| spl130_361
| spl130_363
| spl130_319
| ~ spl130_175
| ~ spl130_183
| ~ spl130_190 ),
inference(avatar_split_clause,[],[f6763,f2011,f1975,f1935,f2698,f2997,f2987,f2694,f9165]) ).
fof(f6763,plain,
( e2 = unit
| op(e2,e1) = unit
| op(e2,e2) = unit
| e4 = unit
| op(e2,e4) = unit
| ~ spl130_175
| ~ spl130_183
| ~ spl130_190 ),
inference(forward_demodulation,[],[f6762,f1977]) ).
fof(f6762,plain,
( unit = op(e2,unit)
| op(e2,e1) = unit
| op(e2,e2) = unit
| e4 = unit
| op(e2,e4) = unit
| ~ spl130_175
| ~ spl130_190 ),
inference(forward_demodulation,[],[f6761,f1936]) ).
fof(f6761,plain,
( op(e2,e1) = unit
| op(e2,e2) = unit
| e4 = unit
| op(e2,e4) = unit
| e0 = op(e2,e0)
| ~ spl130_175
| ~ spl130_190 ),
inference(forward_demodulation,[],[f6760,f1936]) ).
fof(f6760,plain,
( op(e2,e2) = unit
| e4 = unit
| op(e2,e4) = unit
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl130_175
| ~ spl130_190 ),
inference(forward_demodulation,[],[f6759,f1936]) ).
fof(f6759,plain,
( e4 = unit
| op(e2,e4) = unit
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl130_175
| ~ spl130_190 ),
inference(forward_demodulation,[],[f6758,f1936]) ).
fof(f6758,plain,
( e0 = e4
| op(e2,e4) = unit
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl130_175
| ~ spl130_190 ),
inference(forward_demodulation,[],[f6757,f2013]) ).
fof(f6757,plain,
( op(e2,e4) = unit
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl130_175 ),
inference(forward_demodulation,[],[f816,f1936]) ).
fof(f9677,plain,
( ~ spl130_88
| ~ spl130_154
| spl130_319
| ~ spl130_358 ),
inference(avatar_split_clause,[],[f9564,f2972,f2698,f1834,f1494]) ).
fof(f1494,plain,
( spl130_88
<=> sP92 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_88])]) ).
fof(f9564,plain,
( e2 = unit
| e3 != op(e3,e2)
| ~ sP92
| ~ spl130_358 ),
inference(forward_demodulation,[],[f460,f2973]) ).
fof(f460,plain,
( e2 = op(e3,e3)
| e3 != op(e3,e2)
| ~ sP92 ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2)
| ~ sP92 ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2)
| ~ sP92 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f9672,plain,
( spl130_409
| ~ spl130_175
| ~ spl130_343 ),
inference(avatar_split_clause,[],[f9527,f2810,f1935,f9669]) ).
fof(f9527,plain,
( e1 = op(unit,e3)
| ~ spl130_175
| ~ spl130_343 ),
inference(forward_demodulation,[],[f2812,f1936]) ).
fof(f2812,plain,
( e1 = op(e0,e3)
| ~ spl130_343 ),
inference(avatar_component_clause,[],[f2810]) ).
fof(f9662,plain,
( ~ spl130_175
| spl130_149
| ~ spl130_358 ),
inference(avatar_split_clause,[],[f9651,f2972,f1812,f1935]) ).
fof(f9651,plain,
( e0 != unit
| spl130_149
| ~ spl130_358 ),
inference(superposition,[],[f1814,f2973]) ).
fof(f9629,plain,
( ~ spl130_399
| spl130_128
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f2856,f1935,f1713,f8731]) ).
fof(f2856,plain,
( unit != op(unit,e2)
| spl130_128
| ~ spl130_175 ),
inference(superposition,[],[f1714,f1936]) ).
fof(f1714,plain,
( e0 != op(e0,e2)
| spl130_128 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f9610,plain,
( spl130_396
| spl130_251
| spl130_176
| spl130_174
| spl130_170
| ~ spl130_134
| ~ spl130_175
| ~ spl130_327 ),
inference(avatar_split_clause,[],[f9608,f2735,f1935,f1740,f1910,f1930,f1940,f2337,f5774]) ).
fof(f2337,plain,
( spl130_251
<=> e3 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_251])]) ).
fof(f9608,plain,
( e1 = e3
| e3 = e4
| e3 = unit
| e3 = op(e1,e4)
| e3 = op(e1,e3)
| ~ spl130_134
| ~ spl130_175
| ~ spl130_327 ),
inference(forward_demodulation,[],[f9607,f1742]) ).
fof(f9607,plain,
( e3 = e4
| e3 = unit
| e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| ~ spl130_175
| ~ spl130_327 ),
inference(forward_demodulation,[],[f9606,f2736]) ).
fof(f9581,plain,
( ~ spl130_52
| spl130_174
| ~ spl130_327
| ~ spl130_338 ),
inference(avatar_split_clause,[],[f9567,f2786,f2735,f1930,f1293]) ).
fof(f1293,plain,
( spl130_52
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_52])]) ).
fof(f9567,plain,
( e3 = e4
| ~ sP58
| ~ spl130_327
| ~ spl130_338 ),
inference(forward_demodulation,[],[f7479,f2736]) ).
fof(f7479,plain,
( e3 = op(e1,e2)
| ~ sP58
| ~ spl130_338 ),
inference(trivial_inequality_removal,[],[f7478]) ).
fof(f7478,plain,
( e2 != e2
| e3 = op(e1,e2)
| ~ sP58
| ~ spl130_338 ),
inference(forward_demodulation,[],[f528,f2788]) ).
fof(f528,plain,
( e3 = op(e1,e2)
| e2 != op(e1,e3)
| ~ sP58 ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3)
| ~ sP58 ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3)
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f9563,plain,
( spl130_174
| ~ spl130_327
| ~ spl130_337 ),
inference(avatar_split_clause,[],[f6287,f2782,f2735,f1930]) ).
fof(f6287,plain,
( e3 = e4
| ~ spl130_327
| ~ spl130_337 ),
inference(forward_demodulation,[],[f2736,f2783]) ).
fof(f9552,plain,
( spl130_169
| ~ spl130_322
| ~ spl130_324 ),
inference(avatar_split_clause,[],[f9541,f2721,f2712,f1905]) ).
fof(f9541,plain,
( e1 = e2
| ~ spl130_322
| ~ spl130_324 ),
inference(forward_demodulation,[],[f2714,f2723]) ).
fof(f9542,plain,
( ~ spl130_319
| ~ spl130_175
| ~ spl130_178
| spl130_368 ),
inference(avatar_split_clause,[],[f3026,f3022,f1950,f1935,f2698]) ).
fof(f3022,plain,
( spl130_368
<=> e2 = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_368])]) ).
fof(f3026,plain,
( e2 != unit
| ~ spl130_175
| ~ spl130_178
| spl130_368 ),
inference(forward_demodulation,[],[f3024,f2865]) ).
fof(f2865,plain,
( unit = op(unit,unit)
| ~ spl130_175
| ~ spl130_178 ),
inference(superposition,[],[f1952,f1936]) ).
fof(f3024,plain,
( e2 != op(unit,unit)
| spl130_368 ),
inference(avatar_component_clause,[],[f3022]) ).
fof(f9534,plain,
( ~ spl130_192
| spl130_170
| ~ spl130_188
| ~ spl130_377 ),
inference(avatar_split_clause,[],[f9521,f3538,f2000,f1910,f2022]) ).
fof(f2022,plain,
( spl130_192
<=> sP73 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_192])]) ).
fof(f9521,plain,
( e1 = e3
| ~ sP73
| ~ spl130_188
| ~ spl130_377 ),
inference(trivial_inequality_removal,[],[f9520]) ).
fof(f9520,plain,
( e2 != e2
| e1 = e3
| ~ sP73
| ~ spl130_188
| ~ spl130_377 ),
inference(forward_demodulation,[],[f3382,f3540]) ).
fof(f3382,plain,
( e1 = e3
| e2 != op(e4,e3)
| ~ sP73
| ~ spl130_188 ),
inference(forward_demodulation,[],[f498,f2002]) ).
fof(f498,plain,
( e3 = op(e4,e2)
| e2 != op(e4,e3)
| ~ sP73 ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3)
| ~ sP73 ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3)
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f9510,plain,
( spl130_169
| ~ spl130_175
| ~ spl130_180
| ~ spl130_334
| ~ spl130_342
| ~ spl130_377 ),
inference(avatar_split_clause,[],[f9502,f3538,f2806,f2768,f1960,f1935,f1905]) ).
fof(f9502,plain,
( e1 = e2
| ~ spl130_175
| ~ spl130_180
| ~ spl130_334
| ~ spl130_342
| ~ spl130_377 ),
inference(forward_demodulation,[],[f9501,f9194]) ).
fof(f9501,plain,
( e2 = e3
| ~ spl130_175
| ~ spl130_180
| ~ spl130_334
| ~ spl130_342
| ~ spl130_377 ),
inference(forward_demodulation,[],[f9500,f2769]) ).
fof(f9500,plain,
( e2 = op(e4,e1)
| ~ spl130_175
| ~ spl130_180
| ~ spl130_342
| ~ spl130_377 ),
inference(forward_demodulation,[],[f3540,f9194]) ).
fof(f9456,plain,
( spl130_373
| ~ spl130_191
| ~ spl130_334
| ~ spl130_377 ),
inference(avatar_split_clause,[],[f9436,f3538,f2768,f2016,f3053]) ).
fof(f9436,plain,
( e3 = op(e4,e3)
| ~ spl130_191
| ~ spl130_334
| ~ spl130_377 ),
inference(forward_demodulation,[],[f3540,f3103]) ).
fof(f9412,plain,
( spl130_318
| spl130_171
| ~ spl130_133
| ~ spl130_175
| ~ spl130_183
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_398 ),
inference(avatar_split_clause,[],[f9382,f5876,f2768,f2016,f1985,f1975,f1935,f1736,f1915,f2694]) ).
fof(f9382,plain,
( e1 = e4
| e4 = unit
| ~ spl130_133
| ~ spl130_175
| ~ spl130_183
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_398 ),
inference(duplicate_literal_removal,[],[f9381]) ).
fof(f9381,plain,
( e1 = e4
| e4 = unit
| e1 = e4
| ~ spl130_133
| ~ spl130_175
| ~ spl130_183
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_398 ),
inference(forward_demodulation,[],[f9380,f9371]) ).
fof(f9371,plain,
( e1 = e2
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_398 ),
inference(forward_demodulation,[],[f3103,f8845]) ).
fof(f9380,plain,
( e2 = e4
| e4 = unit
| e1 = e4
| ~ spl130_133
| ~ spl130_175
| ~ spl130_183
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_398 ),
inference(forward_demodulation,[],[f9379,f1977]) ).
fof(f9379,plain,
( e4 = op(e2,unit)
| e4 = unit
| e1 = e4
| ~ spl130_133
| ~ spl130_175
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_398 ),
inference(forward_demodulation,[],[f9378,f1936]) ).
fof(f9378,plain,
( e4 = unit
| e1 = e4
| e4 = op(e2,e0)
| ~ spl130_133
| ~ spl130_175
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_398 ),
inference(duplicate_literal_removal,[],[f9377]) ).
fof(f9377,plain,
( e4 = unit
| e1 = e4
| e4 = unit
| e4 = op(e2,e0)
| ~ spl130_133
| ~ spl130_175
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_398 ),
inference(forward_demodulation,[],[f9376,f1936]) ).
fof(f9376,plain,
( e0 = e4
| e1 = e4
| e4 = unit
| e4 = op(e2,e0)
| ~ spl130_133
| ~ spl130_175
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_398 ),
inference(forward_demodulation,[],[f9375,f1737]) ).
fof(f9375,plain,
( e4 = op(e1,e1)
| e1 = e4
| e4 = unit
| e4 = op(e2,e0)
| ~ spl130_133
| ~ spl130_175
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_398 ),
inference(forward_demodulation,[],[f9323,f9371]) ).
fof(f9323,plain,
( e1 = e4
| e4 = unit
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| ~ spl130_133
| ~ spl130_175
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_398 ),
inference(forward_demodulation,[],[f9322,f8845]) ).
fof(f9322,plain,
( e4 = unit
| e3 = e4
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| ~ spl130_133
| ~ spl130_175
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_398 ),
inference(forward_demodulation,[],[f9321,f1936]) ).
fof(f9321,plain,
( e0 = e4
| e3 = e4
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| ~ spl130_133
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_398 ),
inference(forward_demodulation,[],[f9320,f1737]) ).
fof(f9320,plain,
( e4 = op(e1,e1)
| e3 = e4
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_398 ),
inference(forward_demodulation,[],[f9300,f8845]) ).
fof(f9300,plain,
( e4 = op(e3,e3)
| e3 = e4
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| ~ spl130_191
| ~ spl130_334 ),
inference(duplicate_literal_removal,[],[f3155]) ).
fof(f9374,plain,
( spl130_171
| spl130_318
| spl130_173
| ~ spl130_133
| ~ spl130_175
| ~ spl130_183
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_363
| ~ spl130_398 ),
inference(avatar_split_clause,[],[f9327,f5876,f2997,f2768,f2016,f1985,f1975,f1935,f1736,f1925,f2694,f1915]) ).
fof(f9327,plain,
( e2 = e4
| e4 = unit
| e1 = e4
| ~ spl130_133
| ~ spl130_175
| ~ spl130_183
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_363
| ~ spl130_398 ),
inference(forward_demodulation,[],[f9326,f1977]) ).
fof(f9326,plain,
( e4 = op(e2,unit)
| e4 = unit
| e1 = e4
| ~ spl130_133
| ~ spl130_175
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_363
| ~ spl130_398 ),
inference(forward_demodulation,[],[f9325,f1936]) ).
fof(f9325,plain,
( e4 = unit
| e1 = e4
| e4 = op(e2,e0)
| ~ spl130_133
| ~ spl130_175
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_363
| ~ spl130_398 ),
inference(duplicate_literal_removal,[],[f9324]) ).
fof(f9324,plain,
( e4 = unit
| e1 = e4
| e4 = unit
| e4 = op(e2,e0)
| ~ spl130_133
| ~ spl130_175
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_363
| ~ spl130_398 ),
inference(forward_demodulation,[],[f9323,f2998]) ).
fof(f9373,plain,
( ~ spl130_81
| ~ spl130_133
| ~ spl130_175
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_398 ),
inference(avatar_split_clause,[],[f9308,f5876,f2768,f2016,f1985,f1935,f1736,f1452]) ).
fof(f1452,plain,
( spl130_81
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_81])]) ).
fof(f9308,plain,
( ~ sP13
| ~ spl130_133
| ~ spl130_175
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_398 ),
inference(trivial_inequality_removal,[],[f9307]) ).
fof(f9307,plain,
( unit != unit
| ~ sP13
| ~ spl130_133
| ~ spl130_175
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_398 ),
inference(forward_demodulation,[],[f9306,f1936]) ).
fof(f9306,plain,
( e0 != unit
| ~ sP13
| ~ spl130_133
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_398 ),
inference(duplicate_literal_removal,[],[f9305]) ).
fof(f9305,plain,
( e0 != unit
| e0 != unit
| ~ sP13
| ~ spl130_133
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_398 ),
inference(forward_demodulation,[],[f9304,f1737]) ).
fof(f9304,plain,
( op(e1,e1) != unit
| e0 != unit
| ~ sP13
| ~ spl130_185
| ~ spl130_191
| ~ spl130_334
| ~ spl130_398 ),
inference(forward_demodulation,[],[f3167,f8845]) ).
fof(f3167,plain,
( op(e3,e3) != unit
| e0 != unit
| ~ sP13
| ~ spl130_191
| ~ spl130_334 ),
inference(forward_demodulation,[],[f982,f3103]) ).
fof(f982,plain,
( e0 != unit
| op(e2,e3) != unit
| ~ sP13 ),
inference(inner_rewriting,[],[f619]) ).
fof(f619,plain,
( e0 != unit
| e0 != op(e2,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3)
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3)
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f9294,plain,
( spl130_191
| ~ spl130_185
| ~ spl130_377
| ~ spl130_398 ),
inference(avatar_split_clause,[],[f9275,f5876,f3538,f1985,f2016]) ).
fof(f9275,plain,
( e2 = op(e4,e1)
| ~ spl130_185
| ~ spl130_377
| ~ spl130_398 ),
inference(forward_demodulation,[],[f3540,f8845]) ).
fof(f9248,plain,
( spl130_171
| ~ spl130_162
| ~ spl130_188 ),
inference(avatar_split_clause,[],[f3563,f2000,f1870,f1915]) ).
fof(f1870,plain,
( spl130_162
<=> e4 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_162])]) ).
fof(f3563,plain,
( e1 = e4
| ~ spl130_162
| ~ spl130_188 ),
inference(forward_demodulation,[],[f1872,f2002]) ).
fof(f1872,plain,
( e4 = op(e4,e2)
| ~ spl130_162 ),
inference(avatar_component_clause,[],[f1870]) ).
fof(f9210,plain,
( spl130_172
| ~ spl130_373
| ~ spl130_377 ),
inference(avatar_split_clause,[],[f8802,f3538,f3053,f1920]) ).
fof(f8802,plain,
( e2 = e3
| ~ spl130_373
| ~ spl130_377 ),
inference(superposition,[],[f3055,f3540]) ).
fof(f9207,plain,
( spl130_406
| spl130_407
| spl130_408
| spl130_311
| spl130_165 ),
inference(avatar_split_clause,[],[f1016,f1885,f2657,f9204,f9200,f9196]) ).
fof(f9204,plain,
( spl130_408
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_408])]) ).
fof(f2657,plain,
( spl130_311
<=> e1 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_311])]) ).
fof(f1016,plain,
( e0 = e1
| e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1) ),
inference(forward_demodulation,[],[f809,f996]) ).
fof(f809,plain,
( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f9188,plain,
( spl130_342
| spl130_291
| spl130_152
| spl130_334
| spl130_167 ),
inference(avatar_split_clause,[],[f1012,f1895,f2768,f1825,f2551,f2806]) ).
fof(f2551,plain,
( spl130_291
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_291])]) ).
fof(f1012,plain,
( e0 = e3
| e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1) ),
inference(forward_demodulation,[],[f813,f996]) ).
fof(f813,plain,
( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f9185,plain,
( spl130_355
| ~ spl130_185
| ~ spl130_354
| ~ spl130_398 ),
inference(avatar_split_clause,[],[f9184,f5876,f2951,f1985,f2956]) ).
fof(f2956,plain,
( spl130_355
<=> op(e4,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_355])]) ).
fof(f9184,plain,
( op(e4,e1) = unit
| ~ spl130_185
| ~ spl130_354
| ~ spl130_398 ),
inference(forward_demodulation,[],[f2952,f8845]) ).
fof(f9179,plain,
( spl130_354
| spl130_358
| spl130_319
| spl130_318
| spl130_176
| ~ spl130_175
| ~ spl130_184
| ~ spl130_190
| ~ spl130_338 ),
inference(avatar_split_clause,[],[f8630,f2786,f2011,f1980,f1935,f1940,f2694,f2698,f2972,f2951]) ).
fof(f8630,plain,
( e3 = unit
| e4 = unit
| e2 = unit
| op(e3,e3) = unit
| op(e4,e3) = unit
| ~ spl130_175
| ~ spl130_184
| ~ spl130_190
| ~ spl130_338 ),
inference(forward_demodulation,[],[f8629,f1982]) ).
fof(f8629,plain,
( unit = op(unit,e3)
| e4 = unit
| e2 = unit
| op(e3,e3) = unit
| op(e4,e3) = unit
| ~ spl130_175
| ~ spl130_190
| ~ spl130_338 ),
inference(forward_demodulation,[],[f8594,f1936]) ).
fof(f8594,plain,
( e4 = unit
| e2 = unit
| op(e3,e3) = unit
| op(e4,e3) = unit
| e0 = op(e0,e3)
| ~ spl130_175
| ~ spl130_190
| ~ spl130_338 ),
inference(forward_demodulation,[],[f8239,f2013]) ).
fof(f8239,plain,
( e2 = unit
| op(e2,e3) = unit
| op(e3,e3) = unit
| op(e4,e3) = unit
| e0 = op(e0,e3)
| ~ spl130_175
| ~ spl130_338 ),
inference(forward_demodulation,[],[f8238,f1936]) ).
fof(f8238,plain,
( e0 = e2
| op(e2,e3) = unit
| op(e3,e3) = unit
| op(e4,e3) = unit
| e0 = op(e0,e3)
| ~ spl130_175
| ~ spl130_338 ),
inference(forward_demodulation,[],[f8237,f2788]) ).
fof(f9176,plain,
( spl130_405
| ~ spl130_185
| ~ spl130_363
| ~ spl130_373
| ~ spl130_377
| ~ spl130_398 ),
inference(avatar_split_clause,[],[f9171,f5876,f3538,f3053,f2997,f1985,f9173]) ).
fof(f9171,plain,
( op(e1,e1) = unit
| ~ spl130_185
| ~ spl130_363
| ~ spl130_373
| ~ spl130_377
| ~ spl130_398 ),
inference(forward_demodulation,[],[f9170,f8845]) ).
fof(f9170,plain,
( op(e3,e1) = unit
| ~ spl130_363
| ~ spl130_373
| ~ spl130_377 ),
inference(forward_demodulation,[],[f2998,f8802]) ).
fof(f9168,plain,
( spl130_404
| spl130_318
| spl130_363
| spl130_319
| ~ spl130_175
| ~ spl130_183
| ~ spl130_190
| ~ spl130_383 ),
inference(avatar_split_clause,[],[f9098,f4319,f2011,f1975,f1935,f2698,f2997,f2694,f9165]) ).
fof(f9098,plain,
( e2 = unit
| op(e2,e1) = unit
| e4 = unit
| op(e2,e4) = unit
| ~ spl130_175
| ~ spl130_183
| ~ spl130_190
| ~ spl130_383 ),
inference(duplicate_literal_removal,[],[f9097]) ).
fof(f9097,plain,
( e2 = unit
| e2 = unit
| op(e2,e1) = unit
| e4 = unit
| op(e2,e4) = unit
| ~ spl130_175
| ~ spl130_183
| ~ spl130_190
| ~ spl130_383 ),
inference(forward_demodulation,[],[f6763,f4321]) ).
fof(f9163,plain,
( ~ spl130_36
| ~ spl130_132
| spl130_131 ),
inference(avatar_split_clause,[],[f636,f1727,f1731,f1198]) ).
fof(f1198,plain,
( spl130_36
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_36])]) ).
fof(f636,plain,
( op(e0,e0) = e4
| e0 != op(e0,e4)
| ~ sP4 ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4)
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4)
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f9162,plain,
( ~ spl130_175
| spl130_367
| ~ spl130_394 ),
inference(avatar_split_clause,[],[f8790,f5398,f3017,f1935]) ).
fof(f8790,plain,
( e0 != unit
| spl130_367
| ~ spl130_394 ),
inference(superposition,[],[f3019,f5399]) ).
fof(f3019,plain,
( unit != op(unit,unit)
| spl130_367 ),
inference(avatar_component_clause,[],[f3017]) ).
fof(f9141,plain,
( spl130_397
| ~ spl130_185
| ~ spl130_373
| ~ spl130_377
| ~ spl130_398
| ~ spl130_401 ),
inference(avatar_split_clause,[],[f9128,f8934,f5876,f3538,f3053,f1985,f5870]) ).
fof(f9128,plain,
( unit = op(e1,unit)
| ~ spl130_185
| ~ spl130_373
| ~ spl130_377
| ~ spl130_398
| ~ spl130_401 ),
inference(forward_demodulation,[],[f9127,f8845]) ).
fof(f9127,plain,
( unit = op(e3,unit)
| ~ spl130_373
| ~ spl130_377
| ~ spl130_401 ),
inference(forward_demodulation,[],[f8936,f8802]) ).
fof(f9126,plain,
( spl130_397
| ~ spl130_185
| ~ spl130_398
| ~ spl130_403 ),
inference(avatar_split_clause,[],[f9125,f9121,f5876,f1985,f5870]) ).
fof(f9125,plain,
( unit = op(e1,unit)
| ~ spl130_185
| ~ spl130_398
| ~ spl130_403 ),
inference(forward_demodulation,[],[f9123,f8845]) ).
fof(f9123,plain,
( unit = op(e3,unit)
| ~ spl130_403 ),
inference(avatar_component_clause,[],[f9121]) ).
fof(f9124,plain,
( spl130_403
| ~ spl130_175
| ~ spl130_392 ),
inference(avatar_split_clause,[],[f8947,f4995,f1935,f9121]) ).
fof(f8947,plain,
( unit = op(e3,unit)
| ~ spl130_175
| ~ spl130_392 ),
inference(forward_demodulation,[],[f4997,f1936]) ).
fof(f9045,plain,
( spl130_318
| ~ spl130_181
| ~ spl130_185
| ~ spl130_323
| ~ spl130_397
| ~ spl130_398 ),
inference(avatar_split_clause,[],[f9044,f5876,f5870,f2717,f1985,f1965,f2694]) ).
fof(f9044,plain,
( e4 = unit
| ~ spl130_181
| ~ spl130_185
| ~ spl130_323
| ~ spl130_397
| ~ spl130_398 ),
inference(forward_demodulation,[],[f9043,f8883]) ).
fof(f8883,plain,
( e3 = unit
| ~ spl130_181
| ~ spl130_185
| ~ spl130_397
| ~ spl130_398 ),
inference(forward_demodulation,[],[f8846,f8843]) ).
fof(f8846,plain,
( e1 = e3
| ~ spl130_185
| ~ spl130_398 ),
inference(superposition,[],[f1987,f5878]) ).
fof(f9043,plain,
( e3 = e4
| ~ spl130_181
| ~ spl130_185
| ~ spl130_323
| ~ spl130_397 ),
inference(forward_demodulation,[],[f9042,f1987]) ).
fof(f8982,plain,
( spl130_375
| ~ spl130_175
| ~ spl130_181
| ~ spl130_333
| ~ spl130_397 ),
inference(avatar_split_clause,[],[f8979,f5870,f2763,f1965,f1935,f3178]) ).
fof(f8979,plain,
( unit = op(unit,e4)
| ~ spl130_175
| ~ spl130_181
| ~ spl130_333
| ~ spl130_397 ),
inference(forward_demodulation,[],[f8978,f8843]) ).
fof(f8949,plain,
( ~ spl130_95
| spl130_323
| ~ spl130_324 ),
inference(avatar_split_clause,[],[f7336,f2721,f2717,f1532]) ).
fof(f1532,plain,
( spl130_95
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_95])]) ).
fof(f7336,plain,
( e4 = op(e3,e1)
| ~ sP44
| ~ spl130_324 ),
inference(trivial_inequality_removal,[],[f6815]) ).
fof(f6815,plain,
( e1 != e1
| e4 = op(e3,e1)
| ~ sP44
| ~ spl130_324 ),
inference(forward_demodulation,[],[f556,f2723]) ).
fof(f556,plain,
( e4 = op(e3,e1)
| e1 != op(e3,e4)
| ~ sP44 ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
( ( e1 != unit
& e4 = op(e3,e1) )
| e1 != op(e3,e4)
| ~ sP44 ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e1 != unit
& e4 = op(e3,e1) )
| e1 != op(e3,e4)
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f8945,plain,
( spl130_402
| ~ spl130_175
| ~ spl130_393 ),
inference(avatar_split_clause,[],[f8939,f4999,f1935,f8942]) ).
fof(f8942,plain,
( spl130_402
<=> unit = op(e4,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_402])]) ).
fof(f8939,plain,
( unit = op(e4,unit)
| ~ spl130_175
| ~ spl130_393 ),
inference(forward_demodulation,[],[f5001,f1936]) ).
fof(f8937,plain,
( spl130_401
| ~ spl130_175
| ~ spl130_391 ),
inference(avatar_split_clause,[],[f8864,f4991,f1935,f8934]) ).
fof(f8864,plain,
( unit = op(e2,unit)
| ~ spl130_175
| ~ spl130_391 ),
inference(forward_demodulation,[],[f4993,f1936]) ).
fof(f8866,plain,
( spl130_319
| ~ spl130_182
| ~ spl130_399 ),
inference(avatar_split_clause,[],[f8735,f8731,f1970,f2698]) ).
fof(f8735,plain,
( e2 = unit
| ~ spl130_182
| ~ spl130_399 ),
inference(superposition,[],[f8733,f1972]) ).
fof(f8733,plain,
( unit = op(unit,e2)
| ~ spl130_399 ),
inference(avatar_component_clause,[],[f8731]) ).
fof(f8861,plain,
( spl130_390
| spl130_391
| spl130_392
| spl130_393
| spl130_165
| ~ spl130_134 ),
inference(avatar_split_clause,[],[f4768,f1740,f1885,f4999,f4995,f4991,f4987]) ).
fof(f4768,plain,
( e0 = e1
| e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e0,e0)
| ~ spl130_134 ),
inference(forward_demodulation,[],[f797,f1742]) ).
fof(f797,plain,
( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f8855,plain,
( ~ spl130_182
| ~ spl130_175
| spl130_381 ),
inference(avatar_split_clause,[],[f8398,f4311,f1935,f1970]) ).
fof(f8398,plain,
( e2 != op(unit,e2)
| ~ spl130_175
| spl130_381 ),
inference(forward_demodulation,[],[f4312,f1936]) ).
fof(f4312,plain,
( e2 != op(e0,e2)
| spl130_381 ),
inference(avatar_component_clause,[],[f4311]) ).
fof(f8853,plain,
( ~ spl130_400
| ~ spl130_175
| spl130_333 ),
inference(avatar_split_clause,[],[f8294,f2763,f1935,f8850]) ).
fof(f8294,plain,
( e1 != op(unit,e4)
| ~ spl130_175
| spl130_333 ),
inference(forward_demodulation,[],[f2764,f1936]) ).
fof(f2764,plain,
( e1 != op(e0,e4)
| spl130_333 ),
inference(avatar_component_clause,[],[f2763]) ).
fof(f8833,plain,
( spl130_173
| ~ spl130_160
| ~ spl130_191 ),
inference(avatar_split_clause,[],[f8700,f2016,f1861,f1925]) ).
fof(f1861,plain,
( spl130_160
<=> e4 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_160])]) ).
fof(f8700,plain,
( e2 = e4
| ~ spl130_160
| ~ spl130_191 ),
inference(superposition,[],[f2018,f1863]) ).
fof(f1863,plain,
( e4 = op(e4,e1)
| ~ spl130_160 ),
inference(avatar_component_clause,[],[f1861]) ).
fof(f8773,plain,
( ~ spl130_175
| ~ spl130_175
| spl130_260
| ~ spl130_389
| ~ spl130_394 ),
inference(avatar_split_clause,[],[f8489,f5398,f4905,f2384,f1935,f1935]) ).
fof(f2384,plain,
( spl130_260
<=> op(e0,e0) = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_260])]) ).
fof(f8489,plain,
( e0 != unit
| ~ spl130_175
| spl130_260
| ~ spl130_389
| ~ spl130_394 ),
inference(forward_demodulation,[],[f8488,f6556]) ).
fof(f6556,plain,
( unit = op(unit,e4)
| ~ spl130_175
| ~ spl130_389 ),
inference(forward_demodulation,[],[f4906,f1936]) ).
fof(f4906,plain,
( op(e0,e4) = unit
| ~ spl130_389 ),
inference(avatar_component_clause,[],[f4905]) ).
fof(f8488,plain,
( e0 != op(unit,e4)
| ~ spl130_175
| spl130_260
| ~ spl130_394 ),
inference(forward_demodulation,[],[f8443,f5399]) ).
fof(f8443,plain,
( op(unit,e4) != op(unit,unit)
| ~ spl130_175
| spl130_260 ),
inference(superposition,[],[f2386,f1936]) ).
fof(f2386,plain,
( op(e0,e0) != op(e0,e4)
| spl130_260 ),
inference(avatar_component_clause,[],[f2384]) ).
fof(f8737,plain,
( ~ spl130_159
| ~ spl130_188
| spl130_316 ),
inference(avatar_split_clause,[],[f2687,f2683,f2000,f1857]) ).
fof(f1857,plain,
( spl130_159
<=> e1 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_159])]) ).
fof(f2683,plain,
( spl130_316
<=> op(e4,e2) = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_316])]) ).
fof(f2687,plain,
( e1 != op(e4,e4)
| ~ spl130_188
| spl130_316 ),
inference(forward_demodulation,[],[f2685,f2002]) ).
fof(f2685,plain,
( op(e4,e2) != op(e4,e4)
| spl130_316 ),
inference(avatar_component_clause,[],[f2683]) ).
fof(f8734,plain,
( spl130_399
| ~ spl130_132
| ~ spl130_160
| ~ spl130_175
| ~ spl130_191 ),
inference(avatar_split_clause,[],[f8729,f2016,f1935,f1861,f1731,f8731]) ).
fof(f8729,plain,
( unit = op(unit,e2)
| ~ spl130_132
| ~ spl130_160
| ~ spl130_175
| ~ spl130_191 ),
inference(forward_demodulation,[],[f8728,f1936]) ).
fof(f8728,plain,
( e0 = op(e0,e2)
| ~ spl130_132
| ~ spl130_160
| ~ spl130_191 ),
inference(forward_demodulation,[],[f1733,f8700]) ).
fof(f8709,plain,
( ~ spl130_175
| spl130_132
| ~ spl130_389 ),
inference(avatar_split_clause,[],[f4919,f4905,f1731,f1935]) ).
fof(f4919,plain,
( e0 != unit
| spl130_132
| ~ spl130_389 ),
inference(superposition,[],[f1732,f4906]) ).
fof(f8664,plain,
( spl130_171
| spl130_174
| spl130_173
| spl130_318
| ~ spl130_134
| ~ spl130_175
| ~ spl130_183
| ~ spl130_185
| ~ spl130_335
| ~ spl130_394 ),
inference(avatar_split_clause,[],[f8393,f5398,f2773,f1985,f1975,f1935,f1740,f2694,f1925,f1930,f1915]) ).
fof(f8393,plain,
( e4 = unit
| e2 = e4
| e3 = e4
| e1 = e4
| ~ spl130_134
| ~ spl130_175
| ~ spl130_183
| ~ spl130_185
| ~ spl130_335
| ~ spl130_394 ),
inference(forward_demodulation,[],[f8392,f1936]) ).
fof(f8392,plain,
( e0 = e4
| e2 = e4
| e3 = e4
| e1 = e4
| ~ spl130_134
| ~ spl130_175
| ~ spl130_183
| ~ spl130_185
| ~ spl130_335
| ~ spl130_394 ),
inference(forward_demodulation,[],[f8391,f5399]) ).
fof(f8391,plain,
( e4 = op(unit,unit)
| e2 = e4
| e3 = e4
| e1 = e4
| ~ spl130_134
| ~ spl130_175
| ~ spl130_183
| ~ spl130_185
| ~ spl130_335 ),
inference(forward_demodulation,[],[f8390,f1936]) ).
fof(f8390,plain,
( e2 = e4
| e3 = e4
| e1 = e4
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_175
| ~ spl130_183
| ~ spl130_185
| ~ spl130_335 ),
inference(forward_demodulation,[],[f8389,f1977]) ).
fof(f8389,plain,
( e4 = op(e2,unit)
| e3 = e4
| e1 = e4
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_175
| ~ spl130_185
| ~ spl130_335 ),
inference(forward_demodulation,[],[f8388,f1936]) ).
fof(f8388,plain,
( e3 = e4
| e1 = e4
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_175
| ~ spl130_185
| ~ spl130_335 ),
inference(duplicate_literal_removal,[],[f8387]) ).
fof(f8387,plain,
( e3 = e4
| e3 = e4
| e1 = e4
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_175
| ~ spl130_185
| ~ spl130_335 ),
inference(forward_demodulation,[],[f8386,f1987]) ).
fof(f8386,plain,
( e4 = op(e3,unit)
| e3 = e4
| e1 = e4
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_175
| ~ spl130_335 ),
inference(forward_demodulation,[],[f6892,f1936]) ).
fof(f8617,plain,
( spl130_173
| ~ spl130_321
| ~ spl130_384 ),
inference(avatar_split_clause,[],[f8526,f4323,f2708,f1925]) ).
fof(f8526,plain,
( e2 = e4
| ~ spl130_321
| ~ spl130_384 ),
inference(forward_demodulation,[],[f2709,f4325]) ).
fof(f8527,plain,
( spl130_174
| spl130_172
| spl130_170
| spl130_176
| ~ spl130_175
| ~ spl130_180
| ~ spl130_182
| ~ spl130_186
| ~ spl130_341
| ~ spl130_394 ),
inference(avatar_split_clause,[],[f8518,f5398,f2801,f1990,f1970,f1960,f1935,f1940,f1910,f1920,f1930]) ).
fof(f2801,plain,
( spl130_341
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_341])]) ).
fof(f8518,plain,
( e3 = unit
| e1 = e3
| e2 = e3
| e3 = e4
| ~ spl130_175
| ~ spl130_180
| ~ spl130_182
| ~ spl130_186
| ~ spl130_341
| ~ spl130_394 ),
inference(forward_demodulation,[],[f8517,f1936]) ).
fof(f8517,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = e4
| ~ spl130_175
| ~ spl130_180
| ~ spl130_182
| ~ spl130_186
| ~ spl130_341
| ~ spl130_394 ),
inference(forward_demodulation,[],[f8516,f5399]) ).
fof(f8516,plain,
( e3 = op(unit,unit)
| e1 = e3
| e2 = e3
| e3 = e4
| ~ spl130_175
| ~ spl130_180
| ~ spl130_182
| ~ spl130_186
| ~ spl130_341 ),
inference(forward_demodulation,[],[f8515,f1936]) ).
fof(f8515,plain,
( e1 = e3
| e2 = e3
| e3 = e4
| op(e0,e0) = e3
| ~ spl130_175
| ~ spl130_180
| ~ spl130_182
| ~ spl130_186
| ~ spl130_341 ),
inference(forward_demodulation,[],[f8514,f1962]) ).
fof(f8514,plain,
( e3 = op(unit,e1)
| e2 = e3
| e3 = e4
| op(e0,e0) = e3
| ~ spl130_175
| ~ spl130_182
| ~ spl130_186
| ~ spl130_341 ),
inference(forward_demodulation,[],[f8513,f1936]) ).
fof(f8513,plain,
( e2 = e3
| e3 = e4
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl130_175
| ~ spl130_182
| ~ spl130_186
| ~ spl130_341 ),
inference(duplicate_literal_removal,[],[f8512]) ).
fof(f8512,plain,
( e2 = e3
| e2 = e3
| e3 = e4
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl130_175
| ~ spl130_182
| ~ spl130_186
| ~ spl130_341 ),
inference(forward_demodulation,[],[f8511,f1972]) ).
fof(f8511,plain,
( e3 = op(unit,e2)
| e2 = e3
| e3 = e4
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl130_175
| ~ spl130_186
| ~ spl130_341 ),
inference(forward_demodulation,[],[f8510,f1936]) ).
fof(f8510,plain,
( e2 = e3
| e3 = e4
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl130_175
| ~ spl130_186
| ~ spl130_341 ),
inference(forward_demodulation,[],[f8509,f2803]) ).
fof(f2803,plain,
( e2 = op(e0,e3)
| ~ spl130_341 ),
inference(avatar_component_clause,[],[f2801]) ).
fof(f8509,plain,
( e3 = e4
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl130_175
| ~ spl130_186 ),
inference(forward_demodulation,[],[f8508,f1992]) ).
fof(f8508,plain,
( e3 = op(unit,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3
| ~ spl130_175 ),
inference(forward_demodulation,[],[f802,f1936]) ).
fof(f8506,plain,
( spl130_173
| ~ spl130_175
| ~ spl130_182
| ~ spl130_330 ),
inference(avatar_split_clause,[],[f8395,f2750,f1970,f1935,f1925]) ).
fof(f8395,plain,
( e2 = e4
| ~ spl130_175
| ~ spl130_182
| ~ spl130_330 ),
inference(forward_demodulation,[],[f8394,f1972]) ).
fof(f8394,plain,
( e4 = op(unit,e2)
| ~ spl130_175
| ~ spl130_330 ),
inference(forward_demodulation,[],[f2751,f1936]) ).
fof(f8219,plain,
( spl130_153
| ~ spl130_330
| ~ spl130_340
| ~ spl130_377 ),
inference(avatar_split_clause,[],[f8170,f3538,f2797,f2750,f1830]) ).
fof(f8170,plain,
( e2 = op(e3,e3)
| ~ spl130_330
| ~ spl130_340
| ~ spl130_377 ),
inference(forward_demodulation,[],[f3540,f7497]) ).
fof(f7497,plain,
( e3 = e4
| ~ spl130_330
| ~ spl130_340 ),
inference(forward_demodulation,[],[f2751,f2798]) ).
fof(f8061,plain,
( spl130_319
| ~ spl130_175
| ~ spl130_336
| ~ spl130_377 ),
inference(avatar_split_clause,[],[f7981,f3538,f2777,f1935,f2698]) ).
fof(f2777,plain,
( spl130_336
<=> e0 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_336])]) ).
fof(f7981,plain,
( e2 = unit
| ~ spl130_175
| ~ spl130_336
| ~ spl130_377 ),
inference(forward_demodulation,[],[f7505,f1936]) ).
fof(f7505,plain,
( e0 = e2
| ~ spl130_336
| ~ spl130_377 ),
inference(forward_demodulation,[],[f3540,f2779]) ).
fof(f2779,plain,
( e0 = op(e4,e3)
| ~ spl130_336 ),
inference(avatar_component_clause,[],[f2777]) ).
fof(f7876,plain,
( spl130_319
| ~ spl130_132
| ~ spl130_336
| ~ spl130_377
| ~ spl130_389 ),
inference(avatar_split_clause,[],[f7506,f4905,f3538,f2777,f1731,f2698]) ).
fof(f7506,plain,
( e2 = unit
| ~ spl130_132
| ~ spl130_336
| ~ spl130_377
| ~ spl130_389 ),
inference(forward_demodulation,[],[f7505,f4946]) ).
fof(f4946,plain,
( e0 = unit
| ~ spl130_132
| ~ spl130_389 ),
inference(forward_demodulation,[],[f1733,f4906]) ).
fof(f7875,plain,
( spl130_175
| ~ spl130_132
| ~ spl130_389 ),
inference(avatar_split_clause,[],[f4946,f4905,f1731,f1935]) ).
fof(f7468,plain,
( spl130_168
| ~ spl130_179
| ~ spl130_319
| ~ spl130_330 ),
inference(avatar_split_clause,[],[f4737,f2750,f2698,f1955,f1900]) ).
fof(f4737,plain,
( e0 = e4
| ~ spl130_179
| ~ spl130_319
| ~ spl130_330 ),
inference(forward_demodulation,[],[f4736,f1957]) ).
fof(f4736,plain,
( e4 = op(e0,unit)
| ~ spl130_319
| ~ spl130_330 ),
inference(forward_demodulation,[],[f2751,f2699]) ).
fof(f2699,plain,
( e2 = unit
| ~ spl130_319 ),
inference(avatar_component_clause,[],[f2698]) ).
fof(f7335,plain,
( spl130_125
| ~ spl130_159
| ~ spl130_179
| ~ spl130_319
| ~ spl130_330 ),
inference(avatar_split_clause,[],[f7334,f2750,f2698,f1955,f1857,f1700]) ).
fof(f7334,plain,
( op(e0,e0) = e1
| ~ spl130_159
| ~ spl130_179
| ~ spl130_319
| ~ spl130_330 ),
inference(forward_demodulation,[],[f1858,f4737]) ).
fof(f1858,plain,
( e1 = op(e4,e4)
| ~ spl130_159 ),
inference(avatar_component_clause,[],[f1857]) ).
fof(f7261,plain,
( spl130_165
| ~ spl130_132
| ~ spl130_333 ),
inference(avatar_split_clause,[],[f7205,f2763,f1731,f1885]) ).
fof(f7205,plain,
( e0 = e1
| ~ spl130_132
| ~ spl130_333 ),
inference(forward_demodulation,[],[f2765,f1733]) ).
fof(f7208,plain,
( spl130_175
| ~ spl130_179
| ~ spl130_319
| ~ spl130_330
| ~ spl130_381 ),
inference(avatar_split_clause,[],[f7164,f4311,f2750,f2698,f1955,f1935]) ).
fof(f7164,plain,
( e0 = unit
| ~ spl130_179
| ~ spl130_319
| ~ spl130_330
| ~ spl130_381 ),
inference(forward_demodulation,[],[f4737,f7163]) ).
fof(f7163,plain,
( e4 = unit
| ~ spl130_319
| ~ spl130_330
| ~ spl130_381 ),
inference(forward_demodulation,[],[f4870,f2699]) ).
fof(f4870,plain,
( e2 = e4
| ~ spl130_330
| ~ spl130_381 ),
inference(superposition,[],[f4313,f2751]) ).
fof(f7201,plain,
( spl130_177
| ~ spl130_159
| ~ spl130_179
| ~ spl130_319
| ~ spl130_330
| ~ spl130_381
| ~ spl130_394 ),
inference(avatar_split_clause,[],[f7200,f5398,f4311,f2750,f2698,f1955,f1857,f1945]) ).
fof(f7200,plain,
( e1 = unit
| ~ spl130_159
| ~ spl130_179
| ~ spl130_319
| ~ spl130_330
| ~ spl130_381
| ~ spl130_394 ),
inference(forward_demodulation,[],[f7199,f7164]) ).
fof(f7199,plain,
( e0 = e1
| ~ spl130_159
| ~ spl130_319
| ~ spl130_330
| ~ spl130_381
| ~ spl130_394 ),
inference(forward_demodulation,[],[f7198,f5399]) ).
fof(f7198,plain,
( e1 = op(unit,unit)
| ~ spl130_159
| ~ spl130_319
| ~ spl130_330
| ~ spl130_381 ),
inference(forward_demodulation,[],[f1858,f7163]) ).
fof(f7172,plain,
( spl130_168
| spl130_171
| ~ spl130_133
| ~ spl130_134
| ~ spl130_181
| ~ spl130_185
| ~ spl130_319
| ~ spl130_324
| ~ spl130_337 ),
inference(avatar_split_clause,[],[f7132,f2782,f2721,f2698,f1985,f1965,f1740,f1736,f1915,f1900]) ).
fof(f7132,plain,
( e1 = e4
| e0 = e4
| ~ spl130_133
| ~ spl130_134
| ~ spl130_181
| ~ spl130_185
| ~ spl130_319
| ~ spl130_324
| ~ spl130_337 ),
inference(duplicate_literal_removal,[],[f7131]) ).
fof(f7131,plain,
( e1 = e4
| e0 = e4
| e1 = e4
| ~ spl130_133
| ~ spl130_134
| ~ spl130_181
| ~ spl130_185
| ~ spl130_319
| ~ spl130_324
| ~ spl130_337 ),
inference(forward_demodulation,[],[f7130,f1742]) ).
fof(f7130,plain,
( e4 = op(e1,e0)
| e0 = e4
| e1 = e4
| ~ spl130_133
| ~ spl130_181
| ~ spl130_185
| ~ spl130_319
| ~ spl130_324
| ~ spl130_337 ),
inference(forward_demodulation,[],[f7129,f7114]) ).
fof(f7114,plain,
( e1 = e3
| ~ spl130_181
| ~ spl130_319
| ~ spl130_337 ),
inference(forward_demodulation,[],[f7051,f1967]) ).
fof(f7051,plain,
( e3 = op(e1,unit)
| ~ spl130_319
| ~ spl130_337 ),
inference(superposition,[],[f2783,f2699]) ).
fof(f7129,plain,
( e0 = e4
| e1 = e4
| e4 = op(e3,e0)
| ~ spl130_133
| ~ spl130_181
| ~ spl130_185
| ~ spl130_319
| ~ spl130_324
| ~ spl130_337 ),
inference(duplicate_literal_removal,[],[f7128]) ).
fof(f7128,plain,
( e0 = e4
| e1 = e4
| e0 = e4
| e4 = op(e3,e0)
| ~ spl130_133
| ~ spl130_181
| ~ spl130_185
| ~ spl130_319
| ~ spl130_324
| ~ spl130_337 ),
inference(forward_demodulation,[],[f7127,f1737]) ).
fof(f7127,plain,
( e4 = op(e1,e1)
| e1 = e4
| e0 = e4
| e4 = op(e3,e0)
| ~ spl130_133
| ~ spl130_181
| ~ spl130_185
| ~ spl130_319
| ~ spl130_324
| ~ spl130_337 ),
inference(forward_demodulation,[],[f7126,f7114]) ).
fof(f7126,plain,
( e1 = e4
| e0 = e4
| e4 = op(e3,e1)
| e4 = op(e3,e0)
| ~ spl130_133
| ~ spl130_181
| ~ spl130_185
| ~ spl130_319
| ~ spl130_324
| ~ spl130_337 ),
inference(duplicate_literal_removal,[],[f7125]) ).
fof(f7125,plain,
( e1 = e4
| e0 = e4
| e1 = e4
| e4 = op(e3,e1)
| e4 = op(e3,e0)
| ~ spl130_133
| ~ spl130_181
| ~ spl130_185
| ~ spl130_319
| ~ spl130_324
| ~ spl130_337 ),
inference(forward_demodulation,[],[f7124,f7114]) ).
fof(f7124,plain,
( e3 = e4
| e0 = e4
| e1 = e4
| e4 = op(e3,e1)
| e4 = op(e3,e0)
| ~ spl130_133
| ~ spl130_181
| ~ spl130_185
| ~ spl130_319
| ~ spl130_324
| ~ spl130_337 ),
inference(forward_demodulation,[],[f7123,f1987]) ).
fof(f7123,plain,
( e4 = op(e3,unit)
| e0 = e4
| e1 = e4
| e4 = op(e3,e1)
| e4 = op(e3,e0)
| ~ spl130_133
| ~ spl130_181
| ~ spl130_319
| ~ spl130_324
| ~ spl130_337 ),
inference(forward_demodulation,[],[f7122,f2699]) ).
fof(f7122,plain,
( e0 = e4
| e1 = e4
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0)
| ~ spl130_133
| ~ spl130_181
| ~ spl130_319
| ~ spl130_324
| ~ spl130_337 ),
inference(forward_demodulation,[],[f7121,f1737]) ).
fof(f7121,plain,
( e4 = op(e1,e1)
| e1 = e4
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0)
| ~ spl130_181
| ~ spl130_319
| ~ spl130_324
| ~ spl130_337 ),
inference(forward_demodulation,[],[f6889,f7114]) ).
fof(f6889,plain,
( e1 = e4
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0)
| ~ spl130_324 ),
inference(forward_demodulation,[],[f834,f2723]) ).
fof(f7117,plain,
( spl130_171
| ~ spl130_181
| ~ spl130_319
| ~ spl130_327 ),
inference(avatar_split_clause,[],[f4629,f2735,f2698,f1965,f1915]) ).
fof(f4629,plain,
( e1 = e4
| ~ spl130_181
| ~ spl130_319
| ~ spl130_327 ),
inference(forward_demodulation,[],[f4628,f1967]) ).
fof(f4628,plain,
( e4 = op(e1,unit)
| ~ spl130_319
| ~ spl130_327 ),
inference(forward_demodulation,[],[f2736,f2699]) ).
fof(f6874,plain,
( spl130_377
| spl130_161
| spl130_169
| spl130_173
| ~ spl130_160
| ~ spl130_175
| ~ spl130_187 ),
inference(avatar_split_clause,[],[f6866,f1995,f1935,f1861,f1925,f1905,f1866,f3538]) ).
fof(f1866,plain,
( spl130_161
<=> e2 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_161])]) ).
fof(f6866,plain,
( e2 = e4
| e1 = e2
| e2 = op(e4,e4)
| e2 = op(e4,e3)
| ~ spl130_160
| ~ spl130_175
| ~ spl130_187 ),
inference(duplicate_literal_removal,[],[f6865]) ).
fof(f6865,plain,
( e2 = e4
| e2 = e4
| e1 = e2
| e2 = op(e4,e4)
| e2 = op(e4,e3)
| ~ spl130_160
| ~ spl130_175
| ~ spl130_187 ),
inference(forward_demodulation,[],[f6864,f1997]) ).
fof(f6864,plain,
( e2 = op(e4,unit)
| e2 = e4
| e1 = e2
| e2 = op(e4,e4)
| e2 = op(e4,e3)
| ~ spl130_160
| ~ spl130_175 ),
inference(forward_demodulation,[],[f6863,f1936]) ).
fof(f6863,plain,
( e2 = e4
| e1 = e2
| e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e0)
| ~ spl130_160 ),
inference(forward_demodulation,[],[f1001,f1863]) ).
fof(f6855,plain,
( spl130_177
| spl130_352
| spl130_176
| spl130_318
| ~ spl130_160
| ~ spl130_175
| ~ spl130_187
| ~ spl130_373 ),
inference(avatar_split_clause,[],[f6846,f3053,f1995,f1935,f1861,f2694,f1940,f2942,f1945]) ).
fof(f6846,plain,
( e4 = unit
| e3 = unit
| op(e4,e4) = unit
| e1 = unit
| ~ spl130_160
| ~ spl130_175
| ~ spl130_187
| ~ spl130_373 ),
inference(duplicate_literal_removal,[],[f6845]) ).
fof(f6845,plain,
( e4 = unit
| e4 = unit
| e3 = unit
| op(e4,e4) = unit
| e1 = unit
| ~ spl130_160
| ~ spl130_175
| ~ spl130_187
| ~ spl130_373 ),
inference(forward_demodulation,[],[f6844,f1997]) ).
fof(f6844,plain,
( unit = op(e4,unit)
| e4 = unit
| e3 = unit
| op(e4,e4) = unit
| e1 = unit
| ~ spl130_160
| ~ spl130_175
| ~ spl130_373 ),
inference(forward_demodulation,[],[f6843,f1936]) ).
fof(f6843,plain,
( e4 = unit
| e3 = unit
| op(e4,e4) = unit
| e1 = unit
| e0 = op(e4,e0)
| ~ spl130_160
| ~ spl130_175
| ~ spl130_373 ),
inference(forward_demodulation,[],[f6842,f1936]) ).
fof(f6842,plain,
( e0 = e4
| e3 = unit
| op(e4,e4) = unit
| e1 = unit
| e0 = op(e4,e0)
| ~ spl130_160
| ~ spl130_175
| ~ spl130_373 ),
inference(forward_demodulation,[],[f6841,f1863]) ).
fof(f6841,plain,
( e3 = unit
| op(e4,e4) = unit
| e1 = unit
| e0 = op(e4,e1)
| e0 = op(e4,e0)
| ~ spl130_175
| ~ spl130_373 ),
inference(forward_demodulation,[],[f6840,f1936]) ).
fof(f6840,plain,
( e0 = e3
| op(e4,e4) = unit
| e1 = unit
| e0 = op(e4,e1)
| e0 = op(e4,e0)
| ~ spl130_175
| ~ spl130_373 ),
inference(forward_demodulation,[],[f6839,f3055]) ).
fof(f6839,plain,
( op(e4,e4) = unit
| e1 = unit
| e0 = op(e4,e3)
| e0 = op(e4,e1)
| e0 = op(e4,e0)
| ~ spl130_175 ),
inference(forward_demodulation,[],[f6838,f1936]) ).
fof(f6838,plain,
( e1 = unit
| e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e1)
| e0 = op(e4,e0)
| ~ spl130_175 ),
inference(forward_demodulation,[],[f1004,f1936]) ).
fof(f6854,plain,
( ~ spl130_318
| spl130_131
| ~ spl130_175
| ~ spl130_178 ),
inference(avatar_split_clause,[],[f6798,f1950,f1935,f1727,f2694]) ).
fof(f6798,plain,
( e4 != unit
| spl130_131
| ~ spl130_175
| ~ spl130_178 ),
inference(forward_demodulation,[],[f6797,f2865]) ).
fof(f6797,plain,
( e4 != op(unit,unit)
| spl130_131
| ~ spl130_175 ),
inference(forward_demodulation,[],[f1729,f1936]) ).
fof(f1729,plain,
( op(e0,e0) != e4
| spl130_131 ),
inference(avatar_component_clause,[],[f1727]) ).
fof(f6829,plain,
( ~ spl130_175
| spl130_157
| ~ spl130_352 ),
inference(avatar_split_clause,[],[f5075,f2942,f1848,f1935]) ).
fof(f5075,plain,
( e0 != unit
| spl130_157
| ~ spl130_352 ),
inference(superposition,[],[f1850,f2943]) ).
fof(f1850,plain,
( e0 != op(e4,e4)
| spl130_157 ),
inference(avatar_component_clause,[],[f1848]) ).
fof(f6828,plain,
( ~ spl130_147
| ~ spl130_190
| spl130_292 ),
inference(avatar_split_clause,[],[f2560,f2556,f2011,f1802]) ).
fof(f1802,plain,
( spl130_147
<=> e4 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_147])]) ).
fof(f2556,plain,
( spl130_292
<=> op(e2,e2) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_292])]) ).
fof(f2560,plain,
( e4 != op(e2,e2)
| ~ spl130_190
| spl130_292 ),
inference(forward_demodulation,[],[f2558,f2013]) ).
fof(f2558,plain,
( op(e2,e2) != op(e2,e3)
| spl130_292 ),
inference(avatar_component_clause,[],[f2556]) ).
fof(f6826,plain,
( ~ spl130_140
| ~ spl130_134
| spl130_271 ),
inference(avatar_split_clause,[],[f2447,f2443,f1740,f1769]) ).
fof(f2443,plain,
( spl130_271
<=> op(e1,e0) = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_271])]) ).
fof(f2447,plain,
( e1 != op(e1,e4)
| ~ spl130_134
| spl130_271 ),
inference(forward_demodulation,[],[f2445,f1742]) ).
fof(f2445,plain,
( op(e1,e0) != op(e1,e4)
| spl130_271 ),
inference(avatar_component_clause,[],[f2443]) ).
fof(f6751,plain,
( spl130_318
| ~ spl130_321
| ~ spl130_359 ),
inference(avatar_split_clause,[],[f6499,f2977,f2708,f2694]) ).
fof(f2977,plain,
( spl130_359
<=> op(e3,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_359])]) ).
fof(f6499,plain,
( e4 = unit
| ~ spl130_321
| ~ spl130_359 ),
inference(forward_demodulation,[],[f2709,f2978]) ).
fof(f2978,plain,
( op(e3,e2) = unit
| ~ spl130_359 ),
inference(avatar_component_clause,[],[f2977]) ).
fof(f6555,plain,
( spl130_172
| spl130_169
| spl130_319
| ~ spl130_175
| ~ spl130_179
| ~ spl130_181
| ~ spl130_185
| ~ spl130_186
| ~ spl130_352
| ~ spl130_375 ),
inference(avatar_split_clause,[],[f6417,f3178,f2942,f1990,f1985,f1965,f1955,f1935,f2698,f1905,f1920]) ).
fof(f6417,plain,
( e2 = unit
| e1 = e2
| e2 = e3
| ~ spl130_175
| ~ spl130_179
| ~ spl130_181
| ~ spl130_185
| ~ spl130_186
| ~ spl130_352
| ~ spl130_375 ),
inference(duplicate_literal_removal,[],[f6416]) ).
fof(f6416,plain,
( e2 = unit
| e1 = e2
| e2 = e3
| e2 = unit
| ~ spl130_175
| ~ spl130_179
| ~ spl130_181
| ~ spl130_185
| ~ spl130_186
| ~ spl130_352
| ~ spl130_375 ),
inference(forward_demodulation,[],[f6415,f1936]) ).
fof(f6415,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = unit
| ~ spl130_179
| ~ spl130_181
| ~ spl130_185
| ~ spl130_186
| ~ spl130_352
| ~ spl130_375 ),
inference(forward_demodulation,[],[f6414,f1957]) ).
fof(f6414,plain,
( e2 = op(e0,unit)
| e1 = e2
| e2 = e3
| e2 = unit
| ~ spl130_181
| ~ spl130_185
| ~ spl130_186
| ~ spl130_352
| ~ spl130_375 ),
inference(forward_demodulation,[],[f6413,f5395]) ).
fof(f6413,plain,
( e1 = e2
| e2 = e3
| e2 = unit
| e2 = op(e0,e4)
| ~ spl130_181
| ~ spl130_185
| ~ spl130_186
| ~ spl130_352
| ~ spl130_375 ),
inference(forward_demodulation,[],[f6412,f1967]) ).
fof(f6412,plain,
( e2 = op(e1,unit)
| e2 = e3
| e2 = unit
| e2 = op(e0,e4)
| ~ spl130_185
| ~ spl130_186
| ~ spl130_352
| ~ spl130_375 ),
inference(forward_demodulation,[],[f6411,f5395]) ).
fof(f6411,plain,
( e2 = e3
| e2 = unit
| e2 = op(e1,e4)
| e2 = op(e0,e4)
| ~ spl130_185
| ~ spl130_186
| ~ spl130_352
| ~ spl130_375 ),
inference(duplicate_literal_removal,[],[f6410]) ).
fof(f6410,plain,
( e2 = e3
| e2 = unit
| e2 = e3
| e2 = op(e1,e4)
| e2 = op(e0,e4)
| ~ spl130_185
| ~ spl130_186
| ~ spl130_352
| ~ spl130_375 ),
inference(forward_demodulation,[],[f6409,f1987]) ).
fof(f6409,plain,
( e2 = op(e3,unit)
| e2 = unit
| e2 = e3
| e2 = op(e1,e4)
| e2 = op(e0,e4)
| ~ spl130_186
| ~ spl130_352
| ~ spl130_375 ),
inference(forward_demodulation,[],[f5475,f5395]) ).
fof(f5475,plain,
( e2 = unit
| e2 = e3
| e2 = op(e3,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4)
| ~ spl130_352 ),
inference(forward_demodulation,[],[f1000,f2943]) ).
fof(f6554,plain,
( spl130_398
| ~ spl130_186
| ~ spl130_324
| ~ spl130_375 ),
inference(avatar_split_clause,[],[f6399,f3178,f2721,f1990,f5876]) ).
fof(f6399,plain,
( e1 = op(e3,unit)
| ~ spl130_186
| ~ spl130_324
| ~ spl130_375 ),
inference(forward_demodulation,[],[f2723,f5395]) ).
fof(f6552,plain,
( ~ spl130_175
| ~ spl130_175
| ~ spl130_178
| spl130_394 ),
inference(avatar_split_clause,[],[f6544,f5398,f1950,f1935,f1935]) ).
fof(f6544,plain,
( e0 != unit
| ~ spl130_175
| ~ spl130_178
| spl130_394 ),
inference(forward_demodulation,[],[f5400,f2865]) ).
fof(f5400,plain,
( e0 != op(unit,unit)
| spl130_394 ),
inference(avatar_component_clause,[],[f5398]) ).
fof(f6545,plain,
( ~ spl130_175
| ~ spl130_132
| spl130_389 ),
inference(avatar_split_clause,[],[f4973,f4905,f1731,f1935]) ).
fof(f4973,plain,
( e0 != unit
| ~ spl130_132
| spl130_389 ),
inference(superposition,[],[f4907,f1733]) ).
fof(f4907,plain,
( op(e0,e4) != unit
| spl130_389 ),
inference(avatar_component_clause,[],[f4905]) ).
fof(f6507,plain,
( ~ spl130_367
| ~ spl130_175
| ~ spl130_186
| spl130_369
| ~ spl130_375 ),
inference(avatar_split_clause,[],[f6380,f3178,f3028,f1990,f1935,f3017]) ).
fof(f6380,plain,
( unit != op(unit,unit)
| ~ spl130_175
| ~ spl130_186
| spl130_369
| ~ spl130_375 ),
inference(forward_demodulation,[],[f6379,f1936]) ).
fof(f6379,plain,
( unit != op(e0,unit)
| ~ spl130_186
| spl130_369
| ~ spl130_375 ),
inference(forward_demodulation,[],[f3029,f5395]) ).
fof(f3029,plain,
( e4 != op(e0,e4)
| spl130_369 ),
inference(avatar_component_clause,[],[f3028]) ).
fof(f6404,plain,
( spl130_176
| ~ spl130_186
| ~ spl130_327
| ~ spl130_337
| ~ spl130_375 ),
inference(avatar_split_clause,[],[f6294,f3178,f2782,f2735,f1990,f1940]) ).
fof(f6294,plain,
( e3 = unit
| ~ spl130_186
| ~ spl130_327
| ~ spl130_337
| ~ spl130_375 ),
inference(forward_demodulation,[],[f6287,f5395]) ).
fof(f6290,plain,
( spl130_171
| ~ spl130_140
| ~ spl130_370 ),
inference(avatar_split_clause,[],[f5966,f3032,f1769,f1915]) ).
fof(f5966,plain,
( e1 = e4
| ~ spl130_140
| ~ spl130_370 ),
inference(forward_demodulation,[],[f3034,f1771]) ).
fof(f1771,plain,
( e1 = op(e1,e4)
| ~ spl130_140 ),
inference(avatar_component_clause,[],[f1769]) ).
fof(f6267,plain,
( spl130_172
| ~ spl130_148
| ~ spl130_189 ),
inference(avatar_split_clause,[],[f4725,f2005,f1806,f1920]) ).
fof(f1806,plain,
( spl130_148
<=> e2 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_148])]) ).
fof(f4725,plain,
( e2 = e3
| ~ spl130_148
| ~ spl130_189 ),
inference(forward_demodulation,[],[f1808,f2007]) ).
fof(f1808,plain,
( e2 = op(e2,e4)
| ~ spl130_148 ),
inference(avatar_component_clause,[],[f1806]) ).
fof(f6144,plain,
( spl130_177
| ~ spl130_140
| ~ spl130_321
| ~ spl130_359
| ~ spl130_370 ),
inference(avatar_split_clause,[],[f5967,f3032,f2977,f2708,f1769,f1945]) ).
fof(f5967,plain,
( e1 = unit
| ~ spl130_140
| ~ spl130_321
| ~ spl130_359
| ~ spl130_370 ),
inference(forward_demodulation,[],[f5966,f5892]) ).
fof(f5892,plain,
( e4 = unit
| ~ spl130_321
| ~ spl130_359 ),
inference(forward_demodulation,[],[f2709,f2978]) ).
fof(f5888,plain,
( spl130_177
| ~ spl130_180
| ~ spl130_362 ),
inference(avatar_split_clause,[],[f5845,f2992,f1960,f1945]) ).
fof(f5845,plain,
( e1 = unit
| ~ spl130_180
| ~ spl130_362 ),
inference(superposition,[],[f2993,f1962]) ).
fof(f2993,plain,
( unit = op(unit,e1)
| ~ spl130_362 ),
inference(avatar_component_clause,[],[f2992]) ).
fof(f5887,plain,
( spl130_359
| ~ spl130_318
| ~ spl130_321 ),
inference(avatar_split_clause,[],[f5826,f2708,f2694,f2977]) ).
fof(f5826,plain,
( op(e3,e2) = unit
| ~ spl130_318
| ~ spl130_321 ),
inference(forward_demodulation,[],[f2709,f2695]) ).
fof(f2695,plain,
( e4 = unit
| ~ spl130_318 ),
inference(avatar_component_clause,[],[f2694]) ).
fof(f5886,plain,
( ~ spl130_395
| ~ spl130_318
| spl130_325 ),
inference(avatar_split_clause,[],[f5719,f2726,f2694,f5734]) ).
fof(f5734,plain,
( spl130_395
<=> op(e3,e0) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_395])]) ).
fof(f5719,plain,
( op(e3,e0) != unit
| ~ spl130_318
| spl130_325 ),
inference(forward_demodulation,[],[f2728,f2695]) ).
fof(f2728,plain,
( e4 != op(e3,e0)
| spl130_325 ),
inference(avatar_component_clause,[],[f2726]) ).
fof(f5879,plain,
( spl130_398
| ~ spl130_318
| ~ spl130_324 ),
inference(avatar_split_clause,[],[f5357,f2721,f2694,f5876]) ).
fof(f5357,plain,
( e1 = op(e3,unit)
| ~ spl130_318
| ~ spl130_324 ),
inference(forward_demodulation,[],[f2723,f2695]) ).
fof(f5873,plain,
( spl130_397
| ~ spl130_318
| ~ spl130_370 ),
inference(avatar_split_clause,[],[f4335,f3032,f2694,f5870]) ).
fof(f4335,plain,
( unit = op(e1,unit)
| ~ spl130_318
| ~ spl130_370 ),
inference(forward_demodulation,[],[f3034,f2695]) ).
fof(f5833,plain,
( ~ spl130_145
| ~ spl130_189
| spl130_293 ),
inference(avatar_split_clause,[],[f2566,f2562,f2005,f1793]) ).
fof(f1793,plain,
( spl130_145
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_145])]) ).
fof(f2562,plain,
( spl130_293
<=> op(e2,e2) = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_293])]) ).
fof(f2566,plain,
( e3 != op(e2,e2)
| ~ spl130_189
| spl130_293 ),
inference(forward_demodulation,[],[f2564,f2007]) ).
fof(f2564,plain,
( op(e2,e2) != op(e2,e4)
| spl130_293 ),
inference(avatar_component_clause,[],[f2562]) ).
fof(f5830,plain,
( ~ spl130_52
| spl130_172
| ~ spl130_338
| ~ spl130_382 ),
inference(avatar_split_clause,[],[f5828,f4315,f2786,f1920,f1293]) ).
fof(f5828,plain,
( e2 = e3
| ~ sP58
| ~ spl130_338
| ~ spl130_382 ),
inference(trivial_inequality_removal,[],[f5827]) ).
fof(f5827,plain,
( e2 != e2
| e2 = e3
| ~ sP58
| ~ spl130_338
| ~ spl130_382 ),
inference(forward_demodulation,[],[f5817,f2788]) ).
fof(f5817,plain,
( e2 = e3
| e2 != op(e1,e3)
| ~ sP58
| ~ spl130_382 ),
inference(forward_demodulation,[],[f528,f4317]) ).
fof(f5825,plain,
( spl130_172
| ~ spl130_338
| ~ spl130_396 ),
inference(avatar_split_clause,[],[f5819,f5774,f2786,f1920]) ).
fof(f5819,plain,
( e2 = e3
| ~ spl130_338
| ~ spl130_396 ),
inference(forward_demodulation,[],[f2788,f5776]) ).
fof(f5816,plain,
( spl130_319
| ~ spl130_318
| ~ spl130_327
| ~ spl130_382 ),
inference(avatar_split_clause,[],[f5805,f4315,f2735,f2694,f2698]) ).
fof(f5805,plain,
( e2 = unit
| ~ spl130_318
| ~ spl130_327
| ~ spl130_382 ),
inference(forward_demodulation,[],[f5804,f2695]) ).
fof(f5778,plain,
( spl130_319
| ~ spl130_146
| ~ spl130_190
| ~ spl130_318 ),
inference(avatar_split_clause,[],[f5527,f2694,f2011,f1797,f2698]) ).
fof(f5527,plain,
( e2 = unit
| ~ spl130_146
| ~ spl130_190
| ~ spl130_318 ),
inference(forward_demodulation,[],[f5516,f2695]) ).
fof(f5516,plain,
( e2 = e4
| ~ spl130_146
| ~ spl130_190 ),
inference(superposition,[],[f1799,f2013]) ).
fof(f5777,plain,
( spl130_337
| spl130_396
| spl130_167
| spl130_170
| ~ spl130_134
| ~ spl130_181
| ~ spl130_318 ),
inference(avatar_split_clause,[],[f5337,f2694,f1965,f1740,f1910,f1895,f5774,f2782]) ).
fof(f5337,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| ~ spl130_134
| ~ spl130_181
| ~ spl130_318 ),
inference(duplicate_literal_removal,[],[f5336]) ).
fof(f5336,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| ~ spl130_134
| ~ spl130_181
| ~ spl130_318 ),
inference(forward_demodulation,[],[f5335,f1742]) ).
fof(f5335,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl130_181
| ~ spl130_318 ),
inference(forward_demodulation,[],[f5334,f1967]) ).
fof(f5334,plain,
( e3 = op(e1,unit)
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl130_318 ),
inference(forward_demodulation,[],[f1013,f2695]) ).
fof(f5737,plain,
( spl130_177
| spl130_395
| spl130_175
| spl130_380
| ~ spl130_134
| ~ spl130_178
| ~ spl130_318
| ~ spl130_391 ),
inference(avatar_split_clause,[],[f5302,f4991,f2694,f1950,f1740,f4110,f1935,f5734,f1945]) ).
fof(f5302,plain,
( op(e0,e0) = unit
| e0 = unit
| op(e3,e0) = unit
| e1 = unit
| ~ spl130_134
| ~ spl130_178
| ~ spl130_318
| ~ spl130_391 ),
inference(forward_demodulation,[],[f5301,f2695]) ).
fof(f5301,plain,
( e0 = unit
| op(e3,e0) = unit
| e1 = unit
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_178
| ~ spl130_318
| ~ spl130_391 ),
inference(duplicate_literal_removal,[],[f5300]) ).
fof(f5300,plain,
( e0 = unit
| op(e3,e0) = unit
| e0 = unit
| e1 = unit
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_178
| ~ spl130_318
| ~ spl130_391 ),
inference(forward_demodulation,[],[f5299,f2695]) ).
fof(f5299,plain,
( e0 = e4
| op(e3,e0) = unit
| e0 = unit
| e1 = unit
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_178
| ~ spl130_318
| ~ spl130_391 ),
inference(forward_demodulation,[],[f5298,f4993]) ).
fof(f5298,plain,
( op(e3,e0) = unit
| e0 = unit
| e1 = unit
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_178
| ~ spl130_318 ),
inference(forward_demodulation,[],[f5297,f2695]) ).
fof(f5297,plain,
( e0 = unit
| e1 = unit
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_178
| ~ spl130_318 ),
inference(forward_demodulation,[],[f5296,f1952]) ).
fof(f5296,plain,
( unit = op(unit,e0)
| e1 = unit
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_318 ),
inference(forward_demodulation,[],[f5295,f2695]) ).
fof(f5295,plain,
( e1 = unit
| e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_318 ),
inference(forward_demodulation,[],[f3553,f2695]) ).
fof(f5712,plain,
( spl130_165
| ~ spl130_179
| ~ spl130_318
| ~ spl130_333 ),
inference(avatar_split_clause,[],[f5587,f2763,f2694,f1955,f1885]) ).
fof(f5587,plain,
( e0 = e1
| ~ spl130_179
| ~ spl130_318
| ~ spl130_333 ),
inference(forward_demodulation,[],[f5586,f1957]) ).
fof(f5586,plain,
( e1 = op(e0,unit)
| ~ spl130_318
| ~ spl130_333 ),
inference(forward_demodulation,[],[f2765,f2695]) ).
fof(f5711,plain,
( ~ spl130_177
| ~ spl130_188
| spl130_316
| ~ spl130_352 ),
inference(avatar_split_clause,[],[f5109,f2942,f2683,f2000,f1945]) ).
fof(f5109,plain,
( e1 != unit
| ~ spl130_188
| spl130_316
| ~ spl130_352 ),
inference(forward_demodulation,[],[f2687,f2943]) ).
fof(f5529,plain,
( ~ spl130_179
| spl130_126
| ~ spl130_318
| ~ spl130_324
| ~ spl130_371 ),
inference(avatar_split_clause,[],[f5394,f3036,f2721,f2694,f1704,f1955]) ).
fof(f5394,plain,
( e0 != op(e0,unit)
| spl130_126
| ~ spl130_318
| ~ spl130_324
| ~ spl130_371 ),
inference(forward_demodulation,[],[f1705,f5358]) ).
fof(f5358,plain,
( e1 = unit
| ~ spl130_318
| ~ spl130_324
| ~ spl130_371 ),
inference(forward_demodulation,[],[f5357,f3786]) ).
fof(f3786,plain,
( unit = op(e3,unit)
| ~ spl130_318
| ~ spl130_371 ),
inference(forward_demodulation,[],[f3038,f2695]) ).
fof(f5498,plain,
( spl130_176
| ~ spl130_154
| ~ spl130_318
| ~ spl130_321 ),
inference(avatar_split_clause,[],[f5495,f2708,f2694,f1834,f1940]) ).
fof(f5495,plain,
( e3 = unit
| ~ spl130_154
| ~ spl130_318
| ~ spl130_321 ),
inference(forward_demodulation,[],[f5494,f2695]) ).
fof(f5407,plain,
( ~ spl130_179
| spl130_132
| ~ spl130_318 ),
inference(avatar_split_clause,[],[f3793,f2694,f1731,f1955]) ).
fof(f3793,plain,
( e0 != op(e0,unit)
| spl130_132
| ~ spl130_318 ),
inference(superposition,[],[f1732,f2695]) ).
fof(f5405,plain,
( spl130_362
| ~ spl130_160
| ~ spl130_318 ),
inference(avatar_split_clause,[],[f5332,f2694,f1861,f2992]) ).
fof(f5332,plain,
( unit = op(unit,e1)
| ~ spl130_160
| ~ spl130_318 ),
inference(forward_demodulation,[],[f1863,f2695]) ).
fof(f5403,plain,
( spl130_367
| ~ spl130_318
| ~ spl130_375 ),
inference(avatar_split_clause,[],[f3741,f3178,f2694,f3017]) ).
fof(f3741,plain,
( unit = op(unit,unit)
| ~ spl130_318
| ~ spl130_375 ),
inference(forward_demodulation,[],[f3179,f2695]) ).
fof(f5401,plain,
( ~ spl130_394
| spl130_157
| ~ spl130_318 ),
inference(avatar_split_clause,[],[f3665,f2694,f1848,f5398]) ).
fof(f3665,plain,
( e0 != op(unit,unit)
| spl130_157
| ~ spl130_318 ),
inference(forward_demodulation,[],[f1850,f2695]) ).
fof(f5364,plain,
( ~ spl130_126
| ~ spl130_133
| spl130_208 ),
inference(avatar_split_clause,[],[f2112,f2108,f1736,f1704]) ).
fof(f2108,plain,
( spl130_208
<=> op(e0,e1) = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_208])]) ).
fof(f2112,plain,
( e0 != op(e0,e1)
| ~ spl130_133
| spl130_208 ),
inference(forward_demodulation,[],[f2110,f1737]) ).
fof(f2110,plain,
( op(e0,e1) != op(e1,e1)
| spl130_208 ),
inference(avatar_component_clause,[],[f2108]) ).
fof(f5259,plain,
( spl130_177
| ~ spl130_159
| ~ spl130_352 ),
inference(avatar_split_clause,[],[f5104,f2942,f1857,f1945]) ).
fof(f5104,plain,
( e1 = unit
| ~ spl130_159
| ~ spl130_352 ),
inference(forward_demodulation,[],[f1858,f2943]) ).
fof(f5090,plain,
( ~ spl130_179
| ~ spl130_133
| ~ spl130_177
| spl130_208 ),
inference(avatar_split_clause,[],[f5086,f2108,f1945,f1736,f1955]) ).
fof(f5086,plain,
( e0 != op(e0,unit)
| ~ spl130_133
| ~ spl130_177
| spl130_208 ),
inference(forward_demodulation,[],[f2112,f1946]) ).
fof(f1946,plain,
( e1 = unit
| ~ spl130_177 ),
inference(avatar_component_clause,[],[f1945]) ).
fof(f5085,plain,
( ~ spl130_179
| spl130_126
| ~ spl130_177 ),
inference(avatar_split_clause,[],[f3447,f1945,f1704,f1955]) ).
fof(f3447,plain,
( e0 != op(e0,unit)
| spl130_126
| ~ spl130_177 ),
inference(superposition,[],[f1705,f1946]) ).
fof(f5073,plain,
( spl130_352
| ~ spl130_159
| ~ spl130_177 ),
inference(avatar_split_clause,[],[f5071,f1945,f1857,f2942]) ).
fof(f5071,plain,
( op(e4,e4) = unit
| ~ spl130_159
| ~ spl130_177 ),
inference(forward_demodulation,[],[f1858,f1946]) ).
fof(f5055,plain,
( spl130_172
| spl130_319
| spl130_166
| ~ spl130_133
| ~ spl130_177
| ~ spl130_178
| ~ spl130_184
| ~ spl130_187
| ~ spl130_357
| ~ spl130_371 ),
inference(avatar_split_clause,[],[f5028,f3036,f2967,f1995,f1980,f1950,f1945,f1736,f1890,f2698,f1920]) ).
fof(f2967,plain,
( spl130_357
<=> op(e3,e4) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_357])]) ).
fof(f5028,plain,
( e0 = e2
| e2 = unit
| e2 = e3
| ~ spl130_133
| ~ spl130_177
| ~ spl130_178
| ~ spl130_184
| ~ spl130_187
| ~ spl130_357
| ~ spl130_371 ),
inference(duplicate_literal_removal,[],[f5027]) ).
fof(f5027,plain,
( e0 = e2
| e2 = unit
| e2 = e3
| e0 = e2
| ~ spl130_133
| ~ spl130_177
| ~ spl130_178
| ~ spl130_184
| ~ spl130_187
| ~ spl130_357
| ~ spl130_371 ),
inference(forward_demodulation,[],[f5026,f1952]) ).
fof(f5026,plain,
( e2 = op(unit,e0)
| e2 = unit
| e2 = e3
| e0 = e2
| ~ spl130_133
| ~ spl130_177
| ~ spl130_184
| ~ spl130_187
| ~ spl130_357
| ~ spl130_371 ),
inference(forward_demodulation,[],[f5025,f4976]) ).
fof(f4976,plain,
( e4 = unit
| ~ spl130_357
| ~ spl130_371 ),
inference(superposition,[],[f2968,f3038]) ).
fof(f2968,plain,
( op(e3,e4) = unit
| ~ spl130_357 ),
inference(avatar_component_clause,[],[f2967]) ).
fof(f5025,plain,
( e2 = unit
| e2 = e3
| e0 = e2
| e2 = op(e4,e0)
| ~ spl130_133
| ~ spl130_177
| ~ spl130_184
| ~ spl130_187
| ~ spl130_357
| ~ spl130_371 ),
inference(duplicate_literal_removal,[],[f5024]) ).
fof(f5024,plain,
( e2 = unit
| e2 = e3
| e0 = e2
| e2 = unit
| e2 = op(e4,e0)
| ~ spl130_133
| ~ spl130_177
| ~ spl130_184
| ~ spl130_187
| ~ spl130_357
| ~ spl130_371 ),
inference(forward_demodulation,[],[f5023,f4976]) ).
fof(f5023,plain,
( e2 = e4
| e2 = e3
| e0 = e2
| e2 = unit
| e2 = op(e4,e0)
| ~ spl130_133
| ~ spl130_177
| ~ spl130_184
| ~ spl130_187
| ~ spl130_357
| ~ spl130_371 ),
inference(forward_demodulation,[],[f5022,f1997]) ).
fof(f5022,plain,
( e2 = op(e4,unit)
| e2 = e3
| e0 = e2
| e2 = unit
| e2 = op(e4,e0)
| ~ spl130_133
| ~ spl130_177
| ~ spl130_184
| ~ spl130_357
| ~ spl130_371 ),
inference(forward_demodulation,[],[f5021,f1946]) ).
fof(f5021,plain,
( e2 = e3
| e0 = e2
| e2 = unit
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl130_133
| ~ spl130_177
| ~ spl130_184
| ~ spl130_357
| ~ spl130_371 ),
inference(forward_demodulation,[],[f5020,f1982]) ).
fof(f5020,plain,
( e2 = op(unit,e3)
| e0 = e2
| e2 = unit
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl130_133
| ~ spl130_177
| ~ spl130_357
| ~ spl130_371 ),
inference(forward_demodulation,[],[f5019,f4976]) ).
fof(f5019,plain,
( e0 = e2
| e2 = unit
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl130_133
| ~ spl130_177
| ~ spl130_357
| ~ spl130_371 ),
inference(forward_demodulation,[],[f5018,f3448]) ).
fof(f3448,plain,
( e0 = op(unit,unit)
| ~ spl130_133
| ~ spl130_177 ),
inference(superposition,[],[f1737,f1946]) ).
fof(f5018,plain,
( e2 = op(unit,unit)
| e2 = unit
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl130_177
| ~ spl130_357
| ~ spl130_371 ),
inference(forward_demodulation,[],[f3623,f4976]) ).
fof(f3623,plain,
( e2 = unit
| e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl130_177 ),
inference(forward_demodulation,[],[f1001,f1946]) ).
fof(f5004,plain,
( spl130_166
| ~ spl130_132
| ~ spl130_331 ),
inference(avatar_split_clause,[],[f4966,f2754,f1731,f1890]) ).
fof(f4966,plain,
( e0 = e2
| ~ spl130_132
| ~ spl130_331 ),
inference(superposition,[],[f1733,f2756]) ).
fof(f2756,plain,
( e2 = op(e0,e4)
| ~ spl130_331 ),
inference(avatar_component_clause,[],[f2754]) ).
fof(f5002,plain,
( spl130_390
| spl130_391
| spl130_392
| spl130_393
| spl130_175
| ~ spl130_134
| ~ spl130_177 ),
inference(avatar_split_clause,[],[f4769,f1945,f1740,f1935,f4999,f4995,f4991,f4987]) ).
fof(f4769,plain,
( e0 = unit
| e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e0,e0)
| ~ spl130_134
| ~ spl130_177 ),
inference(forward_demodulation,[],[f4768,f1946]) ).
fof(f4975,plain,
( spl130_357
| ~ spl130_177
| ~ spl130_324 ),
inference(avatar_split_clause,[],[f4953,f2721,f1945,f2967]) ).
fof(f4953,plain,
( op(e3,e4) = unit
| ~ spl130_177
| ~ spl130_324 ),
inference(forward_demodulation,[],[f2723,f1946]) ).
fof(f4959,plain,
( spl130_175
| ~ spl130_177
| ~ spl130_324
| ~ spl130_326 ),
inference(avatar_split_clause,[],[f4955,f2730,f2721,f1945,f1935]) ).
fof(f2730,plain,
( spl130_326
<=> e0 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_326])]) ).
fof(f4955,plain,
( e0 = unit
| ~ spl130_177
| ~ spl130_324
| ~ spl130_326 ),
inference(forward_demodulation,[],[f2732,f4953]) ).
fof(f2732,plain,
( e0 = op(e3,e4)
| ~ spl130_326 ),
inference(avatar_component_clause,[],[f2730]) ).
fof(f4950,plain,
( spl130_175
| ~ spl130_132
| ~ spl130_389 ),
inference(avatar_split_clause,[],[f4946,f4905,f1731,f1935]) ).
fof(f4938,plain,
( spl130_175
| ~ spl130_184
| ~ spl130_326
| ~ spl130_378
| ~ spl130_389 ),
inference(avatar_split_clause,[],[f4933,f4905,f4098,f2730,f1980,f1935]) ).
fof(f4098,plain,
( spl130_378
<=> e0 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_378])]) ).
fof(f4933,plain,
( e0 = unit
| ~ spl130_184
| ~ spl130_326
| ~ spl130_378
| ~ spl130_389 ),
inference(forward_demodulation,[],[f4932,f4906]) ).
fof(f4932,plain,
( e0 = op(e0,e4)
| ~ spl130_184
| ~ spl130_326
| ~ spl130_378 ),
inference(forward_demodulation,[],[f2732,f4867]) ).
fof(f4867,plain,
( e0 = e3
| ~ spl130_184
| ~ spl130_378 ),
inference(superposition,[],[f4100,f1982]) ).
fof(f4100,plain,
( e0 = op(unit,e3)
| ~ spl130_378 ),
inference(avatar_component_clause,[],[f4098]) ).
fof(f4928,plain,
( spl130_131
| spl130_284
| spl130_325
| spl130_318
| spl130_174
| ~ spl130_134
| ~ spl130_177
| ~ spl130_335 ),
inference(avatar_split_clause,[],[f4793,f2773,f1945,f1740,f1930,f2694,f2726,f2513,f1727]) ).
fof(f4793,plain,
( e3 = e4
| e4 = unit
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_177
| ~ spl130_335 ),
inference(forward_demodulation,[],[f3554,f2774]) ).
fof(f3554,plain,
( e4 = unit
| e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| op(e0,e0) = e4
| ~ spl130_134
| ~ spl130_177 ),
inference(forward_demodulation,[],[f3553,f1946]) ).
fof(f4909,plain,
( spl130_389
| ~ spl130_177
| ~ spl130_333 ),
inference(avatar_split_clause,[],[f4899,f2763,f1945,f4905]) ).
fof(f4899,plain,
( op(e0,e4) = unit
| ~ spl130_177
| ~ spl130_333 ),
inference(forward_demodulation,[],[f2765,f1946]) ).
fof(f4908,plain,
( ~ spl130_389
| ~ spl130_177
| ~ spl130_184
| spl130_324
| ~ spl130_378 ),
inference(avatar_split_clause,[],[f4898,f4098,f2721,f1980,f1945,f4905]) ).
fof(f4898,plain,
( op(e0,e4) != unit
| ~ spl130_177
| ~ spl130_184
| spl130_324
| ~ spl130_378 ),
inference(forward_demodulation,[],[f4897,f1946]) ).
fof(f4897,plain,
( e1 != op(e0,e4)
| ~ spl130_184
| spl130_324
| ~ spl130_378 ),
inference(forward_demodulation,[],[f2722,f4867]) ).
fof(f2722,plain,
( e1 != op(e3,e4)
| spl130_324 ),
inference(avatar_component_clause,[],[f2721]) ).
fof(f4896,plain,
( spl130_388
| ~ spl130_177
| ~ spl130_330
| ~ spl130_333
| ~ spl130_381 ),
inference(avatar_split_clause,[],[f4886,f4311,f2763,f2750,f1945,f4893]) ).
fof(f4886,plain,
( op(e0,e2) = unit
| ~ spl130_177
| ~ spl130_330
| ~ spl130_333
| ~ spl130_381 ),
inference(forward_demodulation,[],[f4885,f1946]) ).
fof(f4885,plain,
( e1 = op(e0,e2)
| ~ spl130_330
| ~ spl130_333
| ~ spl130_381 ),
inference(forward_demodulation,[],[f2765,f4870]) ).
fof(f4888,plain,
( ~ spl130_182
| ~ spl130_177
| spl130_382 ),
inference(avatar_split_clause,[],[f4794,f4315,f1945,f1970]) ).
fof(f4794,plain,
( e2 != op(unit,e2)
| ~ spl130_177
| spl130_382 ),
inference(forward_demodulation,[],[f4316,f1946]) ).
fof(f4316,plain,
( e2 != op(e1,e2)
| spl130_382 ),
inference(avatar_component_clause,[],[f4315]) ).
fof(f4880,plain,
( spl130_357
| ~ spl130_177
| ~ spl130_324 ),
inference(avatar_split_clause,[],[f4757,f2721,f1945,f2967]) ).
fof(f4757,plain,
( op(e3,e4) = unit
| ~ spl130_177
| ~ spl130_324 ),
inference(forward_demodulation,[],[f2723,f1946]) ).
fof(f4878,plain,
( ~ spl130_177
| ~ spl130_180
| spl130_362 ),
inference(avatar_split_clause,[],[f4824,f2992,f1960,f1945]) ).
fof(f4824,plain,
( e1 != unit
| ~ spl130_180
| spl130_362 ),
inference(superposition,[],[f2994,f1962]) ).
fof(f2994,plain,
( unit != op(unit,e1)
| spl130_362 ),
inference(avatar_component_clause,[],[f2992]) ).
fof(f4866,plain,
( ~ spl130_387
| ~ spl130_177
| spl130_334 ),
inference(avatar_split_clause,[],[f3659,f2768,f1945,f4863]) ).
fof(f4863,plain,
( spl130_387
<=> e3 = op(e4,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_387])]) ).
fof(f3659,plain,
( e3 != op(e4,unit)
| ~ spl130_177
| spl130_334 ),
inference(forward_demodulation,[],[f2770,f1946]) ).
fof(f2770,plain,
( e3 != op(e4,e1)
| spl130_334 ),
inference(avatar_component_clause,[],[f2768]) ).
fof(f4861,plain,
( ~ spl130_386
| ~ spl130_177
| spl130_191 ),
inference(avatar_split_clause,[],[f3642,f2016,f1945,f4858]) ).
fof(f4858,plain,
( spl130_386
<=> e2 = op(e4,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_386])]) ).
fof(f3642,plain,
( e2 != op(e4,unit)
| ~ spl130_177
| spl130_191 ),
inference(forward_demodulation,[],[f2017,f1946]) ).
fof(f2017,plain,
( e2 != op(e4,e1)
| spl130_191 ),
inference(avatar_component_clause,[],[f2016]) ).
fof(f4755,plain,
( spl130_174
| ~ spl130_184
| ~ spl130_190
| ~ spl130_319 ),
inference(avatar_split_clause,[],[f4574,f2698,f2011,f1980,f1930]) ).
fof(f4574,plain,
( e3 = e4
| ~ spl130_184
| ~ spl130_190
| ~ spl130_319 ),
inference(forward_demodulation,[],[f4573,f1982]) ).
fof(f4573,plain,
( e4 = op(unit,e3)
| ~ spl130_190
| ~ spl130_319 ),
inference(forward_demodulation,[],[f2013,f2699]) ).
fof(f4749,plain,
( spl130_176
| ~ spl130_184
| ~ spl130_385 ),
inference(avatar_split_clause,[],[f4747,f4743,f1980,f1940]) ).
fof(f4743,plain,
( spl130_385
<=> unit = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_385])]) ).
fof(f4747,plain,
( e3 = unit
| ~ spl130_184
| ~ spl130_385 ),
inference(superposition,[],[f4745,f1982]) ).
fof(f4745,plain,
( unit = op(unit,e3)
| ~ spl130_385 ),
inference(avatar_component_clause,[],[f4743]) ).
fof(f4746,plain,
( spl130_385
| ~ spl130_140
| ~ spl130_177
| ~ spl130_184
| ~ spl130_190
| ~ spl130_319 ),
inference(avatar_split_clause,[],[f4716,f2698,f2011,f1980,f1945,f1769,f4743]) ).
fof(f4716,plain,
( unit = op(unit,e3)
| ~ spl130_140
| ~ spl130_177
| ~ spl130_184
| ~ spl130_190
| ~ spl130_319 ),
inference(forward_demodulation,[],[f4715,f1946]) ).
fof(f4715,plain,
( e1 = op(e1,e3)
| ~ spl130_140
| ~ spl130_184
| ~ spl130_190
| ~ spl130_319 ),
inference(forward_demodulation,[],[f1771,f4574]) ).
fof(f4729,plain,
( spl130_176
| ~ spl130_148
| ~ spl130_189
| ~ spl130_319 ),
inference(avatar_split_clause,[],[f4724,f2698,f2005,f1806,f1940]) ).
fof(f4724,plain,
( e3 = unit
| ~ spl130_148
| ~ spl130_189
| ~ spl130_319 ),
inference(forward_demodulation,[],[f3121,f2699]) ).
fof(f3121,plain,
( e2 = e3
| ~ spl130_148
| ~ spl130_189 ),
inference(forward_demodulation,[],[f1808,f2007]) ).
fof(f4673,plain,
( spl130_318
| ~ spl130_177
| ~ spl130_181
| ~ spl130_319
| ~ spl130_327 ),
inference(avatar_split_clause,[],[f4636,f2735,f2698,f1965,f1945,f2694]) ).
fof(f4636,plain,
( e4 = unit
| ~ spl130_177
| ~ spl130_181
| ~ spl130_319
| ~ spl130_327 ),
inference(forward_demodulation,[],[f4629,f1946]) ).
fof(f4635,plain,
( spl130_167
| ~ spl130_336
| ~ spl130_373 ),
inference(avatar_split_clause,[],[f4495,f3053,f2777,f1895]) ).
fof(f4495,plain,
( e0 = e3
| ~ spl130_336
| ~ spl130_373 ),
inference(forward_demodulation,[],[f3055,f2779]) ).
fof(f4593,plain,
( spl130_174
| ~ spl130_185
| ~ spl130_319
| ~ spl130_321 ),
inference(avatar_split_clause,[],[f4296,f2708,f2698,f1985,f1930]) ).
fof(f4296,plain,
( e3 = e4
| ~ spl130_185
| ~ spl130_319
| ~ spl130_321 ),
inference(forward_demodulation,[],[f4295,f1987]) ).
fof(f4295,plain,
( e4 = op(e3,unit)
| ~ spl130_319
| ~ spl130_321 ),
inference(forward_demodulation,[],[f2709,f2699]) ).
fof(f4592,plain,
( ~ spl130_35
| ~ spl130_177
| ~ spl130_319 ),
inference(avatar_split_clause,[],[f4402,f2698,f1945,f1192]) ).
fof(f1192,plain,
( spl130_35
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_35])]) ).
fof(f4402,plain,
( ~ sP32
| ~ spl130_177
| ~ spl130_319 ),
inference(trivial_inequality_removal,[],[f4401]) ).
fof(f4401,plain,
( unit != unit
| ~ sP32
| ~ spl130_177
| ~ spl130_319 ),
inference(forward_demodulation,[],[f3675,f2699]) ).
fof(f3675,plain,
( e2 != unit
| ~ sP32
| ~ spl130_177 ),
inference(trivial_inequality_removal,[],[f3674]) ).
fof(f3674,plain,
( unit != unit
| e2 != unit
| ~ sP32
| ~ spl130_177 ),
inference(forward_demodulation,[],[f1219,f1946]) ).
fof(f1219,plain,
( e2 != unit
| e1 != unit
| ~ sP32 ),
inference(forward_demodulation,[],[f963,f686]) ).
fof(f686,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit )
& e4 = op(e4,unit)
& e4 = op(unit,e4)
& e3 = op(e3,unit)
& e3 = op(unit,e3)
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& e1 = op(e1,unit)
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& e0 = op(unit,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f963,plain,
( e1 != unit
| unit != op(unit,e2)
| ~ sP32 ),
inference(inner_rewriting,[],[f581]) ).
fof(f581,plain,
( e1 != unit
| e1 != op(e1,e2)
| ~ sP32 ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
( ( e1 != unit
& e2 = op(e1,e1) )
| e1 != op(e1,e2)
| ~ sP32 ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e1 != unit
& e2 = op(e1,e1) )
| e1 != op(e1,e2)
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f4591,plain,
( ~ spl130_47
| ~ spl130_177
| ~ spl130_319 ),
inference(avatar_split_clause,[],[f4400,f2698,f1945,f1262]) ).
fof(f1262,plain,
( spl130_47
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_47])]) ).
fof(f4400,plain,
( ~ sP57
| ~ spl130_177
| ~ spl130_319 ),
inference(trivial_inequality_removal,[],[f4399]) ).
fof(f4399,plain,
( unit != unit
| ~ sP57
| ~ spl130_177
| ~ spl130_319 ),
inference(forward_demodulation,[],[f3673,f2699]) ).
fof(f3673,plain,
( e2 != unit
| ~ sP57
| ~ spl130_177 ),
inference(trivial_inequality_removal,[],[f3672]) ).
fof(f3672,plain,
( unit != unit
| e2 != unit
| ~ sP57
| ~ spl130_177 ),
inference(forward_demodulation,[],[f1291,f1946]) ).
fof(f1291,plain,
( e1 != unit
| e2 != unit
| ~ sP57 ),
inference(forward_demodulation,[],[f938,f685]) ).
fof(f685,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f938,plain,
( e2 != unit
| unit != op(e1,unit)
| ~ sP57 ),
inference(inner_rewriting,[],[f531]) ).
fof(f531,plain,
( e2 != unit
| e2 != op(e1,e2)
| ~ sP57 ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
( ( e2 != unit
& e2 = op(e1,e2) )
| e2 != op(e1,e2)
| ~ sP57 ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e2 != unit
& e2 = op(e1,e2) )
| e2 != op(e1,e2)
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f4590,plain,
( ~ spl130_55
| ~ spl130_177
| ~ spl130_319 ),
inference(avatar_split_clause,[],[f4398,f2698,f1945,f1308]) ).
fof(f1308,plain,
( spl130_55
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_55])]) ).
fof(f4398,plain,
( ~ sP36
| ~ spl130_177
| ~ spl130_319 ),
inference(trivial_inequality_removal,[],[f4397]) ).
fof(f4397,plain,
( unit != unit
| ~ sP36
| ~ spl130_177
| ~ spl130_319 ),
inference(forward_demodulation,[],[f3671,f2699]) ).
fof(f3671,plain,
( e2 != unit
| ~ sP36
| ~ spl130_177 ),
inference(trivial_inequality_removal,[],[f3670]) ).
fof(f3670,plain,
( unit != unit
| e2 != unit
| ~ sP36
| ~ spl130_177 ),
inference(forward_demodulation,[],[f1333,f1946]) ).
fof(f1333,plain,
( e2 != unit
| e1 != unit
| ~ sP36 ),
inference(forward_demodulation,[],[f959,f687]) ).
fof(f687,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f959,plain,
( e1 != unit
| unit != op(e2,unit)
| ~ sP36 ),
inference(inner_rewriting,[],[f573]) ).
fof(f573,plain,
( e1 != unit
| e1 != op(e2,e1)
| ~ sP36 ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
( ( e1 != unit
& e1 = op(e2,e1) )
| e1 != op(e2,e1)
| ~ sP36 ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e1 != unit
& e1 = op(e2,e1) )
| e1 != op(e2,e1)
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f4589,plain,
( ~ spl130_67
| ~ spl130_177
| ~ spl130_319 ),
inference(avatar_split_clause,[],[f4396,f2698,f1945,f1372]) ).
fof(f4396,plain,
( ~ sP61
| ~ spl130_177
| ~ spl130_319 ),
inference(trivial_inequality_removal,[],[f4395]) ).
fof(f4395,plain,
( unit != unit
| ~ sP61
| ~ spl130_177
| ~ spl130_319 ),
inference(forward_demodulation,[],[f3669,f2699]) ).
fof(f3669,plain,
( e2 != unit
| ~ sP61
| ~ spl130_177 ),
inference(trivial_inequality_removal,[],[f3668]) ).
fof(f3668,plain,
( unit != unit
| e2 != unit
| ~ sP61
| ~ spl130_177 ),
inference(forward_demodulation,[],[f1398,f1946]) ).
fof(f1398,plain,
( e1 != unit
| e2 != unit
| ~ sP61 ),
inference(forward_demodulation,[],[f934,f684]) ).
fof(f684,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f934,plain,
( e2 != unit
| unit != op(unit,e1)
| ~ sP61 ),
inference(inner_rewriting,[],[f523]) ).
fof(f523,plain,
( e2 != unit
| e2 != op(e2,e1)
| ~ sP61 ),
inference(cnf_transformation,[],[f209]) ).
fof(f4554,plain,
( spl130_175
| ~ spl130_146
| ~ spl130_319
| ~ spl130_378 ),
inference(avatar_split_clause,[],[f4528,f4098,f2698,f1797,f1935]) ).
fof(f4528,plain,
( e0 = unit
| ~ spl130_146
| ~ spl130_319
| ~ spl130_378 ),
inference(forward_demodulation,[],[f4100,f4516]) ).
fof(f4516,plain,
( unit = op(unit,e3)
| ~ spl130_146
| ~ spl130_319 ),
inference(forward_demodulation,[],[f1799,f2699]) ).
fof(f4513,plain,
( spl130_318
| ~ spl130_183
| ~ spl130_189
| ~ spl130_190
| ~ spl130_319
| ~ spl130_375 ),
inference(avatar_split_clause,[],[f4481,f3178,f2698,f2011,f2005,f1975,f2694]) ).
fof(f4481,plain,
( e4 = unit
| ~ spl130_183
| ~ spl130_189
| ~ spl130_190
| ~ spl130_319
| ~ spl130_375 ),
inference(forward_demodulation,[],[f4480,f2699]) ).
fof(f4480,plain,
( e2 = e4
| ~ spl130_183
| ~ spl130_189
| ~ spl130_190
| ~ spl130_319
| ~ spl130_375 ),
inference(forward_demodulation,[],[f4479,f1977]) ).
fof(f4479,plain,
( e4 = op(e2,unit)
| ~ spl130_189
| ~ spl130_190
| ~ spl130_319
| ~ spl130_375 ),
inference(forward_demodulation,[],[f2013,f4467]) ).
fof(f4467,plain,
( e3 = unit
| ~ spl130_189
| ~ spl130_319
| ~ spl130_375 ),
inference(forward_demodulation,[],[f3953,f3179]) ).
fof(f3953,plain,
( e3 = op(unit,e4)
| ~ spl130_189
| ~ spl130_319 ),
inference(superposition,[],[f2007,f2699]) ).
fof(f4436,plain,
( spl130_167
| ~ spl130_133
| ~ spl130_145
| ~ spl130_177
| ~ spl130_319 ),
inference(avatar_split_clause,[],[f4308,f2698,f1945,f1793,f1736,f1895]) ).
fof(f4308,plain,
( e0 = e3
| ~ spl130_133
| ~ spl130_145
| ~ spl130_177
| ~ spl130_319 ),
inference(forward_demodulation,[],[f4307,f3448]) ).
fof(f4307,plain,
( e3 = op(unit,unit)
| ~ spl130_145
| ~ spl130_319 ),
inference(forward_demodulation,[],[f1794,f2699]) ).
fof(f1794,plain,
( e3 = op(e2,e2)
| ~ spl130_145 ),
inference(avatar_component_clause,[],[f1793]) ).
fof(f4337,plain,
( ~ spl130_175
| ~ spl130_133
| ~ spl130_177
| ~ spl130_180
| spl130_287
| ~ spl130_319 ),
inference(avatar_split_clause,[],[f4053,f2698,f2529,f1960,f1945,f1736,f1935]) ).
fof(f2529,plain,
( spl130_287
<=> op(e2,e1) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_287])]) ).
fof(f4053,plain,
( e0 != unit
| ~ spl130_133
| ~ spl130_177
| ~ spl130_180
| spl130_287
| ~ spl130_319 ),
inference(forward_demodulation,[],[f4052,f3457]) ).
fof(f3457,plain,
( unit = op(unit,unit)
| ~ spl130_177
| ~ spl130_180 ),
inference(superposition,[],[f1962,f1946]) ).
fof(f4052,plain,
( e0 != op(unit,unit)
| ~ spl130_133
| ~ spl130_177
| spl130_287
| ~ spl130_319 ),
inference(forward_demodulation,[],[f4051,f1946]) ).
fof(f4051,plain,
( e0 != op(unit,e1)
| ~ spl130_133
| ~ spl130_177
| spl130_287
| ~ spl130_319 ),
inference(forward_demodulation,[],[f3979,f3448]) ).
fof(f3979,plain,
( op(unit,e1) != op(unit,unit)
| spl130_287
| ~ spl130_319 ),
inference(superposition,[],[f2531,f2699]) ).
fof(f2531,plain,
( op(e2,e1) != op(e2,e2)
| spl130_287 ),
inference(avatar_component_clause,[],[f2529]) ).
fof(f4334,plain,
( spl130_329
| spl130_327
| spl130_239
| spl130_370
| spl130_168 ),
inference(avatar_split_clause,[],[f1011,f1900,f3032,f2273,f2735,f2744]) ).
fof(f1011,plain,
( e0 = e4
| e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e0) ),
inference(forward_demodulation,[],[f814,f996]) ).
fof(f814,plain,
( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f4333,plain,
( spl130_332
| spl130_289
| spl130_323
| spl130_160
| spl130_168 ),
inference(avatar_split_clause,[],[f1010,f1900,f1861,f2717,f2540,f2759]) ).
fof(f1010,plain,
( e0 = e4
| e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e0,e1) ),
inference(forward_demodulation,[],[f815,f996]) ).
fof(f815,plain,
( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f4326,plain,
( spl130_381
| spl130_382
| spl130_383
| spl130_384
| spl130_169 ),
inference(avatar_split_clause,[],[f1008,f1905,f4323,f4319,f4315,f4311]) ).
fof(f1008,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(forward_demodulation,[],[f821,f794]) ).
fof(f821,plain,
( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f4298,plain,
( spl130_340
| spl130_337
| spl130_145
| spl130_154
| spl130_170 ),
inference(avatar_split_clause,[],[f1007,f1910,f1834,f1793,f2782,f2797]) ).
fof(f1007,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(forward_demodulation,[],[f823,f794]) ).
fof(f823,plain,
( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f4294,plain,
( spl130_330
| spl130_327
| spl130_147
| spl130_321
| spl130_171 ),
inference(avatar_split_clause,[],[f1005,f1915,f2708,f1802,f2735,f2750]) ).
fof(f1005,plain,
( e1 = e4
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(forward_demodulation,[],[f825,f794]) ).
fof(f825,plain,
( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f4290,plain,
( spl130_333
| spl130_140
| spl130_324
| spl130_159
| spl130_170 ),
inference(avatar_split_clause,[],[f1002,f1910,f1857,f2721,f1769,f2763]) ).
fof(f1002,plain,
( e1 = e3
| e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) ),
inference(forward_demodulation,[],[f839,f795]) ).
fof(f839,plain,
( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f4289,plain,
( spl130_284
| spl130_147
| spl130_190
| spl130_174
| spl130_173
| ~ spl130_177
| ~ spl130_183 ),
inference(avatar_split_clause,[],[f3562,f1975,f1945,f1925,f1930,f2011,f1802,f2513]) ).
fof(f3562,plain,
( e2 = e4
| e3 = e4
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e0)
| ~ spl130_177
| ~ spl130_183 ),
inference(forward_demodulation,[],[f3561,f1977]) ).
fof(f3561,plain,
( e4 = op(e2,unit)
| e3 = e4
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e0)
| ~ spl130_177 ),
inference(forward_demodulation,[],[f1006,f1946]) ).
fof(f4122,plain,
( spl130_175
| ~ spl130_133
| ~ spl130_177
| ~ spl130_188
| ~ spl130_318
| ~ spl130_319 ),
inference(avatar_split_clause,[],[f3864,f2698,f2694,f2000,f1945,f1736,f1935]) ).
fof(f3864,plain,
( e0 = unit
| ~ spl130_133
| ~ spl130_177
| ~ spl130_188
| ~ spl130_318
| ~ spl130_319 ),
inference(forward_demodulation,[],[f3863,f1946]) ).
fof(f3863,plain,
( e0 = e1
| ~ spl130_133
| ~ spl130_177
| ~ spl130_188
| ~ spl130_318
| ~ spl130_319 ),
inference(forward_demodulation,[],[f3862,f3448]) ).
fof(f3862,plain,
( e1 = op(unit,unit)
| ~ spl130_188
| ~ spl130_318
| ~ spl130_319 ),
inference(forward_demodulation,[],[f3805,f2699]) ).
fof(f3805,plain,
( e1 = op(unit,e2)
| ~ spl130_188
| ~ spl130_318 ),
inference(superposition,[],[f2002,f2695]) ).
fof(f4113,plain,
( ~ spl130_14
| ~ spl130_380
| ~ spl130_318 ),
inference(avatar_split_clause,[],[f3705,f2694,f4110,f1081]) ).
fof(f1081,plain,
( spl130_14
<=> sP100 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_14])]) ).
fof(f3705,plain,
( op(e0,e0) != unit
| ~ sP100
| ~ spl130_318 ),
inference(trivial_inequality_removal,[],[f3704]) ).
fof(f3704,plain,
( unit != unit
| op(e0,e0) != unit
| ~ sP100
| ~ spl130_318 ),
inference(forward_demodulation,[],[f895,f2695]) ).
fof(f895,plain,
( e4 != unit
| op(e0,e0) != unit
| ~ sP100 ),
inference(inner_rewriting,[],[f445]) ).
fof(f445,plain,
( e4 != unit
| op(e0,e0) != e4
| ~ sP100 ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4
| ~ sP100 ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4
| ~ sP100 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).
fof(f4107,plain,
( ~ spl130_100
| ~ spl130_379
| ~ spl130_177 ),
inference(avatar_split_clause,[],[f3550,f1945,f4104,f1558]) ).
fof(f1558,plain,
( spl130_100
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_100])]) ).
fof(f3550,plain,
( op(e4,e0) != unit
| ~ sP45
| ~ spl130_177 ),
inference(trivial_inequality_removal,[],[f3549]) ).
fof(f3549,plain,
( unit != unit
| op(e4,e0) != unit
| ~ sP45
| ~ spl130_177 ),
inference(forward_demodulation,[],[f950,f1946]) ).
fof(f950,plain,
( e1 != unit
| op(e4,e0) != unit
| ~ sP45 ),
inference(inner_rewriting,[],[f555]) ).
fof(f555,plain,
( e1 != unit
| e1 != op(e4,e0)
| ~ sP45 ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
( ( e1 != unit
& e0 = op(e4,e1) )
| e1 != op(e4,e0)
| ~ sP45 ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e1 != unit
& e0 = op(e4,e1) )
| e1 != op(e4,e0)
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f4101,plain,
( spl130_378
| ~ spl130_318
| ~ spl130_336 ),
inference(avatar_split_clause,[],[f3656,f2777,f2694,f4098]) ).
fof(f3656,plain,
( e0 = op(unit,e3)
| ~ spl130_318
| ~ spl130_336 ),
inference(forward_demodulation,[],[f2779,f2695]) ).
fof(f4071,plain,
( spl130_167
| ~ spl130_178
| ~ spl130_318
| ~ spl130_335 ),
inference(avatar_split_clause,[],[f3658,f2773,f2694,f1950,f1895]) ).
fof(f3658,plain,
( e0 = e3
| ~ spl130_178
| ~ spl130_318
| ~ spl130_335 ),
inference(forward_demodulation,[],[f3657,f1952]) ).
fof(f3657,plain,
( e3 = op(unit,e0)
| ~ spl130_318
| ~ spl130_335 ),
inference(forward_demodulation,[],[f2774,f2695]) ).
fof(f3792,plain,
( ~ spl130_114
| ~ spl130_177
| ~ spl130_318 ),
inference(avatar_split_clause,[],[f3738,f2694,f1945,f1633]) ).
fof(f1633,plain,
( spl130_114
<=> sP121 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_114])]) ).
fof(f3738,plain,
( ~ sP121
| ~ spl130_177
| ~ spl130_318 ),
inference(trivial_inequality_removal,[],[f3737]) ).
fof(f3737,plain,
( unit != unit
| ~ sP121
| ~ spl130_177
| ~ spl130_318 ),
inference(forward_demodulation,[],[f3587,f2695]) ).
fof(f3587,plain,
( e4 != unit
| ~ sP121
| ~ spl130_177 ),
inference(trivial_inequality_removal,[],[f3586]) ).
fof(f3586,plain,
( unit != unit
| e4 != unit
| ~ sP121
| ~ spl130_177 ),
inference(forward_demodulation,[],[f1664,f1946]) ).
fof(f1664,plain,
( e1 != unit
| e4 != unit
| ~ sP121 ),
inference(forward_demodulation,[],[f874,f684]) ).
fof(f874,plain,
( e4 != unit
| unit != op(unit,e1)
| ~ sP121 ),
inference(inner_rewriting,[],[f403]) ).
fof(f403,plain,
( e4 != unit
| e4 != op(e4,e1)
| ~ sP121 ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ( e4 != unit
& e1 = op(e4,e4) )
| e4 != op(e4,e1)
| ~ sP121 ),
inference(nnf_transformation,[],[f131]) ).
fof(f131,plain,
( ( e4 != unit
& e1 = op(e4,e4) )
| e4 != op(e4,e1)
| ~ sP121 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])]) ).
fof(f3791,plain,
( ~ spl130_105
| ~ spl130_177
| ~ spl130_318 ),
inference(avatar_split_clause,[],[f3736,f2694,f1945,f1585]) ).
fof(f1585,plain,
( spl130_105
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_105])]) ).
fof(f3736,plain,
( ~ sP46
| ~ spl130_177
| ~ spl130_318 ),
inference(trivial_inequality_removal,[],[f3735]) ).
fof(f3735,plain,
( unit != unit
| ~ sP46
| ~ spl130_177
| ~ spl130_318 ),
inference(forward_demodulation,[],[f3589,f2695]) ).
fof(f3589,plain,
( e4 != unit
| ~ sP46
| ~ spl130_177 ),
inference(trivial_inequality_removal,[],[f3588]) ).
fof(f3588,plain,
( unit != unit
| e4 != unit
| ~ sP46
| ~ spl130_177 ),
inference(forward_demodulation,[],[f1610,f1946]) ).
fof(f1610,plain,
( e4 != unit
| e1 != unit
| ~ sP46 ),
inference(forward_demodulation,[],[f949,f691]) ).
fof(f691,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f949,plain,
( e1 != unit
| unit != op(e4,unit)
| ~ sP46 ),
inference(inner_rewriting,[],[f553]) ).
fof(f553,plain,
( e1 != unit
| e1 != op(e4,e1)
| ~ sP46 ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
( ( e1 != unit
& e1 = op(e4,e1) )
| e1 != op(e4,e1)
| ~ sP46 ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e1 != unit
& e1 = op(e4,e1) )
| e1 != op(e4,e1)
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f3790,plain,
( ~ spl130_54
| ~ spl130_177
| ~ spl130_318 ),
inference(avatar_split_clause,[],[f3734,f2694,f1945,f1303]) ).
fof(f1303,plain,
( spl130_54
<=> sP109 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_54])]) ).
fof(f3734,plain,
( ~ sP109
| ~ spl130_177
| ~ spl130_318 ),
inference(trivial_inequality_removal,[],[f3733]) ).
fof(f3733,plain,
( unit != unit
| ~ sP109
| ~ spl130_177
| ~ spl130_318 ),
inference(forward_demodulation,[],[f3591,f2695]) ).
fof(f3591,plain,
( e4 != unit
| ~ sP109
| ~ spl130_177 ),
inference(trivial_inequality_removal,[],[f3590]) ).
fof(f3590,plain,
( unit != unit
| e4 != unit
| ~ sP109
| ~ spl130_177 ),
inference(forward_demodulation,[],[f1327,f1946]) ).
fof(f1327,plain,
( e1 != unit
| e4 != unit
| ~ sP109 ),
inference(forward_demodulation,[],[f886,f685]) ).
fof(f886,plain,
( e4 != unit
| unit != op(e1,unit)
| ~ sP109 ),
inference(inner_rewriting,[],[f427]) ).
fof(f427,plain,
( e4 != unit
| e4 != op(e1,e4)
| ~ sP109 ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
( ( e4 != unit
& e4 = op(e1,e4) )
| e4 != op(e1,e4)
| ~ sP109 ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
( ( e4 != unit
& e4 = op(e1,e4) )
| e4 != op(e1,e4)
| ~ sP109 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).
fof(f3789,plain,
( ~ spl130_45
| ~ spl130_177
| ~ spl130_318 ),
inference(avatar_split_clause,[],[f3732,f2694,f1945,f1250]) ).
fof(f1250,plain,
( spl130_45
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_45])]) ).
fof(f3732,plain,
( ~ sP34
| ~ spl130_177
| ~ spl130_318 ),
inference(trivial_inequality_removal,[],[f3731]) ).
fof(f3731,plain,
( unit != unit
| ~ sP34
| ~ spl130_177
| ~ spl130_318 ),
inference(forward_demodulation,[],[f3593,f2695]) ).
fof(f3593,plain,
( e4 != unit
| ~ sP34
| ~ spl130_177 ),
inference(trivial_inequality_removal,[],[f3592]) ).
fof(f3592,plain,
( unit != unit
| e4 != unit
| ~ sP34
| ~ spl130_177 ),
inference(forward_demodulation,[],[f1278,f1946]) ).
fof(f1278,plain,
( e4 != unit
| e1 != unit
| ~ sP34 ),
inference(forward_demodulation,[],[f961,f690]) ).
fof(f690,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f961,plain,
( e1 != unit
| unit != op(unit,e4)
| ~ sP34 ),
inference(inner_rewriting,[],[f577]) ).
fof(f577,plain,
( e1 != unit
| e1 != op(e1,e4)
| ~ sP34 ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4)
| ~ sP34 ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4)
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f3788,plain,
( ~ spl130_59
| ~ spl130_178
| ~ spl130_190
| ~ spl130_318
| ~ spl130_335 ),
inference(avatar_split_clause,[],[f3725,f2773,f2694,f2011,f1950,f1329]) ).
fof(f1329,plain,
( spl130_59
<=> sP110 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_59])]) ).
fof(f3725,plain,
( ~ sP110
| ~ spl130_178
| ~ spl130_190
| ~ spl130_318
| ~ spl130_335 ),
inference(trivial_inequality_removal,[],[f3724]) ).
fof(f3724,plain,
( unit != unit
| ~ sP110
| ~ spl130_178
| ~ spl130_190
| ~ spl130_318
| ~ spl130_335 ),
inference(forward_demodulation,[],[f3723,f3663]) ).
fof(f3663,plain,
( op(e2,e0) = unit
| ~ spl130_178
| ~ spl130_190
| ~ spl130_318
| ~ spl130_335 ),
inference(forward_demodulation,[],[f3662,f2695]) ).
fof(f3662,plain,
( e4 = op(e2,e0)
| ~ spl130_178
| ~ spl130_190
| ~ spl130_318
| ~ spl130_335 ),
inference(forward_demodulation,[],[f2013,f3658]) ).
fof(f3723,plain,
( op(e2,e0) != unit
| ~ sP110
| ~ spl130_318 ),
inference(trivial_inequality_removal,[],[f3722]) ).
fof(f3722,plain,
( unit != unit
| op(e2,e0) != unit
| ~ sP110
| ~ spl130_318 ),
inference(forward_demodulation,[],[f885,f2695]) ).
fof(f885,plain,
( e4 != unit
| op(e2,e0) != unit
| ~ sP110 ),
inference(inner_rewriting,[],[f425]) ).
fof(f425,plain,
( e4 != unit
| e4 != op(e2,e0)
| ~ sP110 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0)
| ~ sP110 ),
inference(nnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0)
| ~ sP110 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).
fof(f3746,plain,
( ~ spl130_32
| ~ spl130_318
| ~ spl130_319
| ~ spl130_369 ),
inference(avatar_split_clause,[],[f3703,f3028,f2698,f2694,f1176]) ).
fof(f1176,plain,
( spl130_32
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_32])]) ).
fof(f3703,plain,
( ~ sP54
| ~ spl130_318
| ~ spl130_319
| ~ spl130_369 ),
inference(trivial_inequality_removal,[],[f3702]) ).
fof(f3702,plain,
( unit != unit
| ~ sP54
| ~ spl130_318
| ~ spl130_319
| ~ spl130_369 ),
inference(forward_demodulation,[],[f3701,f2699]) ).
fof(f3701,plain,
( e2 != unit
| ~ sP54
| ~ spl130_318
| ~ spl130_369 ),
inference(trivial_inequality_removal,[],[f3700]) ).
fof(f3700,plain,
( unit != unit
| e2 != unit
| ~ sP54
| ~ spl130_318
| ~ spl130_369 ),
inference(forward_demodulation,[],[f3682,f2695]) ).
fof(f3682,plain,
( e4 != unit
| e2 != unit
| ~ sP54
| ~ spl130_369 ),
inference(forward_demodulation,[],[f941,f3030]) ).
fof(f941,plain,
( e2 != unit
| op(e0,e4) != unit
| ~ sP54 ),
inference(inner_rewriting,[],[f537]) ).
fof(f537,plain,
( e2 != unit
| e2 != op(e0,e4)
| ~ sP54 ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
( ( e2 != unit
& e4 = op(e0,e2) )
| e2 != op(e0,e4)
| ~ sP54 ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e2 != unit
& e4 = op(e0,e2) )
| e2 != op(e0,e4)
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f3745,plain,
( ~ spl130_82
| ~ spl130_318
| ~ spl130_319 ),
inference(avatar_split_clause,[],[f3699,f2698,f2694,f1458]) ).
fof(f1458,plain,
( spl130_82
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_82])]) ).
fof(f3699,plain,
( ~ sP64
| ~ spl130_318
| ~ spl130_319 ),
inference(trivial_inequality_removal,[],[f3698]) ).
fof(f3698,plain,
( unit != unit
| ~ sP64
| ~ spl130_318
| ~ spl130_319 ),
inference(forward_demodulation,[],[f3697,f2699]) ).
fof(f3697,plain,
( e2 != unit
| ~ sP64
| ~ spl130_318 ),
inference(trivial_inequality_removal,[],[f3696]) ).
fof(f3696,plain,
( unit != unit
| e2 != unit
| ~ sP64
| ~ spl130_318 ),
inference(forward_demodulation,[],[f1486,f2695]) ).
fof(f1486,plain,
( e4 != unit
| e2 != unit
| ~ sP64 ),
inference(forward_demodulation,[],[f931,f690]) ).
fof(f931,plain,
( e2 != unit
| unit != op(unit,e4)
| ~ sP64 ),
inference(inner_rewriting,[],[f517]) ).
fof(f517,plain,
( e2 != unit
| e2 != op(e2,e4)
| ~ sP64 ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
( ( e2 != unit
& e4 = op(e2,e2) )
| e2 != op(e2,e4)
| ~ sP64 ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e2 != unit
& e4 = op(e2,e2) )
| e2 != op(e2,e4)
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f3744,plain,
( ~ spl130_119
| ~ spl130_318
| ~ spl130_319 ),
inference(avatar_split_clause,[],[f3695,f2698,f2694,f1666]) ).
fof(f1666,plain,
( spl130_119
<=> sP122 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_119])]) ).
fof(f3695,plain,
( ~ sP122
| ~ spl130_318
| ~ spl130_319 ),
inference(trivial_inequality_removal,[],[f3694]) ).
fof(f3694,plain,
( unit != unit
| ~ sP122
| ~ spl130_318
| ~ spl130_319 ),
inference(forward_demodulation,[],[f3693,f2695]) ).
fof(f3693,plain,
( e4 != unit
| ~ sP122
| ~ spl130_319 ),
inference(trivial_inequality_removal,[],[f3692]) ).
fof(f3692,plain,
( unit != unit
| e4 != unit
| ~ sP122
| ~ spl130_319 ),
inference(forward_demodulation,[],[f1693,f2699]) ).
fof(f1693,plain,
( e2 != unit
| e4 != unit
| ~ sP122 ),
inference(forward_demodulation,[],[f873,f686]) ).
fof(f873,plain,
( e4 != unit
| unit != op(unit,e2)
| ~ sP122 ),
inference(inner_rewriting,[],[f401]) ).
fof(f401,plain,
( e4 != unit
| e4 != op(e4,e2)
| ~ sP122 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( e4 != unit
& e2 = op(e4,e4) )
| e4 != op(e4,e2)
| ~ sP122 ),
inference(nnf_transformation,[],[f132]) ).
fof(f132,plain,
( ( e4 != unit
& e2 = op(e4,e4) )
| e4 != op(e4,e2)
| ~ sP122 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP122])]) ).
fof(f3743,plain,
( ~ spl130_122
| ~ spl130_187
| ~ spl130_318
| ~ spl130_319 ),
inference(avatar_split_clause,[],[f3691,f2698,f2694,f1995,f1682]) ).
fof(f1682,plain,
( spl130_122
<=> sP72 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_122])]) ).
fof(f3691,plain,
( ~ sP72
| ~ spl130_187
| ~ spl130_318
| ~ spl130_319 ),
inference(trivial_inequality_removal,[],[f3690]) ).
fof(f3690,plain,
( unit != unit
| ~ sP72
| ~ spl130_187
| ~ spl130_318
| ~ spl130_319 ),
inference(forward_demodulation,[],[f3689,f2699]) ).
fof(f3689,plain,
( e2 != unit
| ~ sP72
| ~ spl130_187
| ~ spl130_318 ),
inference(trivial_inequality_removal,[],[f3688]) ).
fof(f3688,plain,
( unit != unit
| e2 != unit
| ~ sP72
| ~ spl130_187
| ~ spl130_318 ),
inference(forward_demodulation,[],[f2020,f2695]) ).
fof(f2020,plain,
( e4 != unit
| e2 != unit
| ~ sP72
| ~ spl130_187 ),
inference(forward_demodulation,[],[f923,f1997]) ).
fof(f923,plain,
( e2 != unit
| unit != op(e4,unit)
| ~ sP72 ),
inference(inner_rewriting,[],[f501]) ).
fof(f501,plain,
( e2 != unit
| e2 != op(e4,e2)
| ~ sP72 ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
( ( e2 != unit
& e2 = op(e4,e2) )
| e2 != op(e4,e2)
| ~ sP72 ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e2 != unit
& e2 = op(e4,e2) )
| e2 != op(e4,e2)
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f3742,plain,
( ~ spl130_34
| ~ spl130_134
| ~ spl130_177
| ~ spl130_318 ),
inference(avatar_split_clause,[],[f3721,f2694,f1945,f1740,f1187]) ).
fof(f1187,plain,
( spl130_34
<=> sP105 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_34])]) ).
fof(f3721,plain,
( ~ sP105
| ~ spl130_134
| ~ spl130_177
| ~ spl130_318 ),
inference(trivial_inequality_removal,[],[f3720]) ).
fof(f3720,plain,
( unit != unit
| ~ sP105
| ~ spl130_134
| ~ spl130_177
| ~ spl130_318 ),
inference(forward_demodulation,[],[f3719,f1946]) ).
fof(f3719,plain,
( e1 != unit
| ~ sP105
| ~ spl130_134
| ~ spl130_318 ),
inference(forward_demodulation,[],[f3718,f1742]) ).
fof(f3718,plain,
( op(e1,e0) != unit
| ~ sP105
| ~ spl130_318 ),
inference(trivial_inequality_removal,[],[f3717]) ).
fof(f3717,plain,
( unit != unit
| op(e1,e0) != unit
| ~ sP105
| ~ spl130_318 ),
inference(forward_demodulation,[],[f890,f2695]) ).
fof(f890,plain,
( e4 != unit
| op(e1,e0) != unit
| ~ sP105 ),
inference(inner_rewriting,[],[f435]) ).
fof(f435,plain,
( e4 != unit
| e4 != op(e1,e0)
| ~ sP105 ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
( ( e4 != unit
& e0 = op(e1,e4) )
| e4 != op(e1,e0)
| ~ sP105 ),
inference(nnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( e4 != unit
& e0 = op(e1,e4) )
| e4 != op(e1,e0)
| ~ sP105 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).
fof(f3687,plain,
( ~ spl130_318
| ~ spl130_186
| spl130_375 ),
inference(avatar_split_clause,[],[f3182,f3178,f1990,f2694]) ).
fof(f3182,plain,
( e4 != unit
| ~ spl130_186
| spl130_375 ),
inference(superposition,[],[f3180,f1992]) ).
fof(f3686,plain,
( ~ spl130_37
| ~ spl130_319
| ~ spl130_134
| ~ spl130_177 ),
inference(avatar_split_clause,[],[f3681,f1945,f1740,f2698,f1203]) ).
fof(f1203,plain,
( spl130_37
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_37])]) ).
fof(f3681,plain,
( e2 != unit
| ~ sP55
| ~ spl130_134
| ~ spl130_177 ),
inference(trivial_inequality_removal,[],[f3680]) ).
fof(f3680,plain,
( unit != unit
| e2 != unit
| ~ sP55
| ~ spl130_134
| ~ spl130_177 ),
inference(forward_demodulation,[],[f3679,f1946]) ).
fof(f3679,plain,
( e1 != unit
| e2 != unit
| ~ sP55
| ~ spl130_134 ),
inference(forward_demodulation,[],[f940,f1742]) ).
fof(f940,plain,
( e2 != unit
| op(e1,e0) != unit
| ~ sP55 ),
inference(inner_rewriting,[],[f535]) ).
fof(f535,plain,
( e2 != unit
| e2 != op(e1,e0)
| ~ sP55 ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
( ( e2 != unit
& e0 = op(e1,e2) )
| e2 != op(e1,e0)
| ~ sP55 ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e2 != unit
& e0 = op(e1,e2) )
| e2 != op(e1,e0)
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f3667,plain,
( spl130_172
| spl130_319
| spl130_166
| ~ spl130_133
| ~ spl130_177
| ~ spl130_178
| ~ spl130_184
| ~ spl130_187
| ~ spl130_318 ),
inference(avatar_split_clause,[],[f3634,f2694,f1995,f1980,f1950,f1945,f1736,f1890,f2698,f1920]) ).
fof(f3634,plain,
( e0 = e2
| e2 = unit
| e2 = e3
| ~ spl130_133
| ~ spl130_177
| ~ spl130_178
| ~ spl130_184
| ~ spl130_187
| ~ spl130_318 ),
inference(duplicate_literal_removal,[],[f3633]) ).
fof(f3633,plain,
( e0 = e2
| e2 = unit
| e2 = e3
| e0 = e2
| ~ spl130_133
| ~ spl130_177
| ~ spl130_178
| ~ spl130_184
| ~ spl130_187
| ~ spl130_318 ),
inference(forward_demodulation,[],[f3632,f1952]) ).
fof(f3632,plain,
( e2 = op(unit,e0)
| e2 = unit
| e2 = e3
| e0 = e2
| ~ spl130_133
| ~ spl130_177
| ~ spl130_184
| ~ spl130_187
| ~ spl130_318 ),
inference(forward_demodulation,[],[f3631,f2695]) ).
fof(f3631,plain,
( e2 = unit
| e2 = e3
| e0 = e2
| e2 = op(e4,e0)
| ~ spl130_133
| ~ spl130_177
| ~ spl130_184
| ~ spl130_187
| ~ spl130_318 ),
inference(duplicate_literal_removal,[],[f3630]) ).
fof(f3630,plain,
( e2 = unit
| e2 = e3
| e0 = e2
| e2 = unit
| e2 = op(e4,e0)
| ~ spl130_133
| ~ spl130_177
| ~ spl130_184
| ~ spl130_187
| ~ spl130_318 ),
inference(forward_demodulation,[],[f3629,f2695]) ).
fof(f3629,plain,
( e2 = e4
| e2 = e3
| e0 = e2
| e2 = unit
| e2 = op(e4,e0)
| ~ spl130_133
| ~ spl130_177
| ~ spl130_184
| ~ spl130_187
| ~ spl130_318 ),
inference(forward_demodulation,[],[f3628,f1997]) ).
fof(f3628,plain,
( e2 = op(e4,unit)
| e2 = e3
| e0 = e2
| e2 = unit
| e2 = op(e4,e0)
| ~ spl130_133
| ~ spl130_177
| ~ spl130_184
| ~ spl130_318 ),
inference(forward_demodulation,[],[f3627,f1946]) ).
fof(f3627,plain,
( e2 = e3
| e0 = e2
| e2 = unit
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl130_133
| ~ spl130_177
| ~ spl130_184
| ~ spl130_318 ),
inference(forward_demodulation,[],[f3626,f1982]) ).
fof(f3626,plain,
( e2 = op(unit,e3)
| e0 = e2
| e2 = unit
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl130_133
| ~ spl130_177
| ~ spl130_318 ),
inference(forward_demodulation,[],[f3625,f2695]) ).
fof(f3625,plain,
( e0 = e2
| e2 = unit
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl130_133
| ~ spl130_177
| ~ spl130_318 ),
inference(forward_demodulation,[],[f3624,f3448]) ).
fof(f3624,plain,
( e2 = op(unit,unit)
| e2 = unit
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl130_177
| ~ spl130_318 ),
inference(forward_demodulation,[],[f3623,f2695]) ).
fof(f3619,plain,
( spl130_172
| ~ spl130_184
| ~ spl130_318
| ~ spl130_377 ),
inference(avatar_split_clause,[],[f3617,f3538,f2694,f1980,f1920]) ).
fof(f3617,plain,
( e2 = e3
| ~ spl130_184
| ~ spl130_318
| ~ spl130_377 ),
inference(forward_demodulation,[],[f3616,f1982]) ).
fof(f3616,plain,
( e2 = op(unit,e3)
| ~ spl130_318
| ~ spl130_377 ),
inference(forward_demodulation,[],[f3540,f2695]) ).
fof(f3596,plain,
( spl130_166
| ~ spl130_133
| ~ spl130_161
| ~ spl130_162
| ~ spl130_177
| ~ spl130_188 ),
inference(avatar_split_clause,[],[f3566,f2000,f1945,f1870,f1866,f1736,f1890]) ).
fof(f3566,plain,
( e0 = e2
| ~ spl130_133
| ~ spl130_161
| ~ spl130_162
| ~ spl130_177
| ~ spl130_188 ),
inference(forward_demodulation,[],[f3565,f3448]) ).
fof(f3565,plain,
( e2 = op(unit,unit)
| ~ spl130_161
| ~ spl130_162
| ~ spl130_177
| ~ spl130_188 ),
inference(forward_demodulation,[],[f1867,f3564]) ).
fof(f3564,plain,
( e4 = unit
| ~ spl130_162
| ~ spl130_177
| ~ spl130_188 ),
inference(forward_demodulation,[],[f3563,f1946]) ).
fof(f1867,plain,
( e2 = op(e4,e4)
| ~ spl130_161 ),
inference(avatar_component_clause,[],[f1866]) ).
fof(f3583,plain,
( spl130_318
| ~ spl130_162
| ~ spl130_177
| ~ spl130_188 ),
inference(avatar_split_clause,[],[f3564,f2000,f1945,f1870,f2694]) ).
fof(f3559,plain,
( spl130_174
| ~ spl130_160
| ~ spl130_334 ),
inference(avatar_split_clause,[],[f3557,f2768,f1861,f1930]) ).
fof(f3557,plain,
( e3 = e4
| ~ spl130_160
| ~ spl130_334 ),
inference(forward_demodulation,[],[f1863,f2769]) ).
fof(f3541,plain,
( spl130_377
| spl130_161
| spl130_169
| spl130_172
| spl130_173
| ~ spl130_158
| ~ spl130_334 ),
inference(avatar_split_clause,[],[f3431,f2768,f1852,f1925,f1920,f1905,f1866,f3538]) ).
fof(f3431,plain,
( e2 = e4
| e2 = e3
| e1 = e2
| e2 = op(e4,e4)
| e2 = op(e4,e3)
| ~ spl130_158
| ~ spl130_334 ),
inference(forward_demodulation,[],[f3430,f1854]) ).
fof(f3430,plain,
( e2 = e3
| e1 = e2
| e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e0)
| ~ spl130_334 ),
inference(forward_demodulation,[],[f1001,f2769]) ).
fof(f3435,plain,
( ~ spl130_109
| spl130_157
| ~ spl130_158 ),
inference(avatar_split_clause,[],[f3429,f1852,f1848,f1606]) ).
fof(f3429,plain,
( e0 = op(e4,e4)
| ~ sP120
| ~ spl130_158 ),
inference(trivial_inequality_removal,[],[f3428]) ).
fof(f3427,plain,
( ~ spl130_187
| spl130_164
| ~ spl130_176 ),
inference(avatar_split_clause,[],[f3426,f1940,f1880,f1995]) ).
fof(f3426,plain,
( e4 != op(e4,unit)
| spl130_164
| ~ spl130_176 ),
inference(forward_demodulation,[],[f1881,f1941]) ).
fof(f1881,plain,
( e4 != op(e4,e3)
| spl130_164 ),
inference(avatar_component_clause,[],[f1880]) ).
fof(f3406,plain,
( ~ spl130_3
| spl130_376 ),
inference(avatar_split_clause,[],[f345,f3403,f1027]) ).
fof(f1027,plain,
( spl130_3
<=> sP127 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_3])]) ).
fof(f3403,plain,
( spl130_376
<=> sP74 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_376])]) ).
fof(f345,plain,
( sP74
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( sP74
& sP73
& sP72
& sP71
& sP70
& sP69
& sP68
& sP67
& sP66
& sP65
& sP64
& sP63
& sP62
& sP61
& sP60
& sP59
& sP58
& sP57
& sP56
& sP55
& sP54
& sP53
& sP52
& sP51
& sP50 )
| ~ sP127 ),
inference(nnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( sP74
& sP73
& sP72
& sP71
& sP70
& sP69
& sP68
& sP67
& sP66
& sP65
& sP64
& sP63
& sP62
& sP61
& sP60
& sP59
& sP58
& sP57
& sP56
& sP55
& sP54
& sP53
& sP52
& sP51
& sP50 )
| ~ sP127 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])]) ).
fof(f3386,plain,
( spl130_319
| ~ spl130_148
| ~ spl130_176
| ~ spl130_189 ),
inference(avatar_split_clause,[],[f3369,f2005,f1940,f1806,f2698]) ).
fof(f3369,plain,
( e2 = unit
| ~ spl130_148
| ~ spl130_176
| ~ spl130_189 ),
inference(forward_demodulation,[],[f3121,f1941]) ).
fof(f3344,plain,
( spl130_174
| spl130_155
| spl130_323
| spl130_325
| ~ spl130_191
| ~ spl130_334 ),
inference(avatar_split_clause,[],[f3158,f2768,f2016,f2726,f2717,f1839,f1930]) ).
fof(f3158,plain,
( e4 = op(e3,e0)
| e4 = op(e3,e1)
| e4 = op(e3,e3)
| e3 = e4
| ~ spl130_191
| ~ spl130_334 ),
inference(forward_demodulation,[],[f3157,f3103]) ).
fof(f3157,plain,
( e4 = op(e3,e1)
| e4 = op(e3,e3)
| e3 = e4
| e4 = op(e2,e0)
| ~ spl130_191
| ~ spl130_334 ),
inference(forward_demodulation,[],[f3156,f3103]) ).
fof(f3156,plain,
( e4 = op(e3,e3)
| e3 = e4
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| ~ spl130_191
| ~ spl130_334 ),
inference(duplicate_literal_removal,[],[f3155]) ).
fof(f3181,plain,
( ~ spl130_375
| spl130_156
| ~ spl130_176 ),
inference(avatar_split_clause,[],[f3169,f1940,f1843,f3178]) ).
fof(f3143,plain,
( ~ spl130_156
| ~ spl130_189
| spl130_254 ),
inference(avatar_split_clause,[],[f2356,f2352,f2005,f1843]) ).
fof(f2352,plain,
( spl130_254
<=> op(e2,e4) = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_254])]) ).
fof(f2356,plain,
( e3 != op(e3,e4)
| ~ spl130_189
| spl130_254 ),
inference(forward_demodulation,[],[f2354,f2007]) ).
fof(f2354,plain,
( op(e2,e4) != op(e3,e4)
| spl130_254 ),
inference(avatar_component_clause,[],[f2352]) ).
fof(f3123,plain,
( spl130_155
| ~ spl130_147
| ~ spl130_191
| ~ spl130_334 ),
inference(avatar_split_clause,[],[f3122,f2768,f2016,f1802,f1839]) ).
fof(f3122,plain,
( e4 = op(e3,e3)
| ~ spl130_147
| ~ spl130_191
| ~ spl130_334 ),
inference(forward_demodulation,[],[f1803,f3103]) ).
fof(f1803,plain,
( e4 = op(e2,e2)
| ~ spl130_147 ),
inference(avatar_component_clause,[],[f1802]) ).
fof(f3120,plain,
( spl130_289
| spl130_147
| spl130_190
| spl130_174
| spl130_173
| ~ spl130_175
| ~ spl130_183 ),
inference(avatar_split_clause,[],[f3087,f1975,f1935,f1925,f1930,f2011,f1802,f2540]) ).
fof(f3087,plain,
( e2 = e4
| e3 = e4
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| ~ spl130_175
| ~ spl130_183 ),
inference(forward_demodulation,[],[f3086,f1977]) ).
fof(f3086,plain,
( e4 = op(e2,unit)
| e3 = e4
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| ~ spl130_175 ),
inference(forward_demodulation,[],[f1006,f1936]) ).
fof(f3118,plain,
( ~ spl130_81
| ~ spl130_374
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f3079,f1935,f3115,f1452]) ).
fof(f3115,plain,
( spl130_374
<=> op(e2,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_374])]) ).
fof(f3079,plain,
( op(e2,e3) != unit
| ~ sP13
| ~ spl130_175 ),
inference(trivial_inequality_removal,[],[f3078]) ).
fof(f3078,plain,
( unit != unit
| op(e2,e3) != unit
| ~ sP13
| ~ spl130_175 ),
inference(forward_demodulation,[],[f982,f1936]) ).
fof(f3102,plain,
( ~ spl130_124
| spl130_163
| ~ spl130_164 ),
inference(avatar_split_clause,[],[f3100,f1880,f1876,f1695]) ).
fof(f1695,plain,
( spl130_124
<=> sP123 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_124])]) ).
fof(f1876,plain,
( spl130_163
<=> e3 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_163])]) ).
fof(f3100,plain,
( e3 = op(e4,e4)
| ~ sP123
| ~ spl130_164 ),
inference(trivial_inequality_removal,[],[f3099]) ).
fof(f3099,plain,
( e4 != e4
| e3 = op(e4,e4)
| ~ sP123
| ~ spl130_164 ),
inference(forward_demodulation,[],[f398,f1882]) ).
fof(f398,plain,
( e3 = op(e4,e4)
| e4 != op(e4,e3)
| ~ sP123 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( e4 != unit
& e3 = op(e4,e4) )
| e4 != op(e4,e3)
| ~ sP123 ),
inference(nnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( e4 != unit
& e3 = op(e4,e4) )
| e4 != op(e4,e3)
| ~ sP123 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])]) ).
fof(f3098,plain,
( ~ spl130_163
| ~ spl130_189
| spl130_255 ),
inference(avatar_split_clause,[],[f2362,f2358,f2005,f1876]) ).
fof(f2358,plain,
( spl130_255
<=> op(e2,e4) = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_255])]) ).
fof(f2362,plain,
( e3 != op(e4,e4)
| ~ spl130_189
| spl130_255 ),
inference(forward_demodulation,[],[f2360,f2007]) ).
fof(f2360,plain,
( op(e2,e4) != op(e4,e4)
| spl130_255 ),
inference(avatar_component_clause,[],[f2358]) ).
fof(f3088,plain,
( ~ spl130_190
| ~ spl130_164
| spl130_243 ),
inference(avatar_split_clause,[],[f3082,f2294,f1880,f2011]) ).
fof(f2294,plain,
( spl130_243
<=> op(e2,e3) = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_243])]) ).
fof(f3082,plain,
( e4 != op(e2,e3)
| ~ spl130_164
| spl130_243 ),
inference(forward_demodulation,[],[f2296,f1882]) ).
fof(f2296,plain,
( op(e2,e3) != op(e4,e3)
| spl130_243 ),
inference(avatar_component_clause,[],[f2294]) ).
fof(f3077,plain,
( ~ spl130_164
| ~ spl130_190
| spl130_243 ),
inference(avatar_split_clause,[],[f2298,f2294,f2011,f1880]) ).
fof(f2298,plain,
( e4 != op(e4,e3)
| ~ spl130_190
| spl130_243 ),
inference(forward_demodulation,[],[f2296,f2013]) ).
fof(f3056,plain,
( spl130_335
| spl130_334
| spl130_373
| spl130_163
| spl130_170 ),
inference(avatar_split_clause,[],[f999,f1910,f1876,f3053,f2768,f2773]) ).
fof(f999,plain,
( e1 = e3
| e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(forward_demodulation,[],[f842,f794]) ).
fof(f842,plain,
( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3051,plain,
( ~ spl130_109
| spl130_352
| ~ spl130_175
| ~ spl130_187 ),
inference(avatar_split_clause,[],[f3049,f1995,f1935,f2942,f1606]) ).
fof(f3049,plain,
( op(e4,e4) = unit
| ~ sP120
| ~ spl130_175
| ~ spl130_187 ),
inference(trivial_inequality_removal,[],[f3048]) ).
fof(f3048,plain,
( e4 != e4
| op(e4,e4) = unit
| ~ sP120
| ~ spl130_175
| ~ spl130_187 ),
inference(forward_demodulation,[],[f3047,f1997]) ).
fof(f3047,plain,
( e4 != op(e4,unit)
| op(e4,e4) = unit
| ~ sP120
| ~ spl130_175 ),
inference(forward_demodulation,[],[f3046,f1936]) ).
fof(f3046,plain,
( op(e4,e4) = unit
| e4 != op(e4,e0)
| ~ sP120
| ~ spl130_175 ),
inference(forward_demodulation,[],[f404,f1936]) ).
fof(f3045,plain,
( spl130_158
| spl130_160
| spl130_164
| spl130_372
| spl130_171 ),
inference(avatar_split_clause,[],[f998,f1915,f3040,f1880,f1861,f1852]) ).
fof(f998,plain,
( e1 = e4
| e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e1)
| e4 = op(e4,e0) ),
inference(forward_demodulation,[],[f844,f794]) ).
fof(f844,plain,
( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3043,plain,
( spl130_369
| spl130_370
| spl130_371
| spl130_372
| spl130_174 ),
inference(avatar_split_clause,[],[f997,f1930,f3040,f3036,f3032,f3028]) ).
fof(f997,plain,
( e3 = e4
| e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) ),
inference(forward_demodulation,[],[f845,f795]) ).
fof(f845,plain,
( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3025,plain,
( ~ spl130_368
| spl130_127
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f2855,f1935,f1709,f3022]) ).
fof(f2855,plain,
( e2 != op(unit,unit)
| spl130_127
| ~ spl130_175 ),
inference(superposition,[],[f1711,f1936]) ).
fof(f1711,plain,
( op(e0,e0) != e2
| spl130_127 ),
inference(avatar_component_clause,[],[f1709]) ).
fof(f3020,plain,
( ~ spl130_10
| ~ spl130_367
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f995,f1935,f3017,f1060]) ).
fof(f1060,plain,
( spl130_10
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_10])]) ).
fof(f995,plain,
( e0 != unit
| unit != op(unit,unit)
| ~ sP0 ),
inference(inner_rewriting,[],[f645]) ).
fof(f645,plain,
( e0 != unit
| e0 != op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0)
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0)
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f3015,plain,
( ~ spl130_51
| ~ spl130_366
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f988,f1935,f3012,f1287]) ).
fof(f1287,plain,
( spl130_51
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_51])]) ).
fof(f988,plain,
( e0 != unit
| op(e1,e2) != unit
| ~ sP7 ),
inference(inner_rewriting,[],[f631]) ).
fof(f631,plain,
( e0 != unit
| e0 != op(e1,e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2)
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2)
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f3010,plain,
( ~ spl130_56
| ~ spl130_365
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f987,f1935,f3007,f1313]) ).
fof(f1313,plain,
( spl130_56
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_56])]) ).
fof(f987,plain,
( e0 != unit
| op(e1,e3) != unit
| ~ sP8 ),
inference(inner_rewriting,[],[f629]) ).
fof(f629,plain,
( e0 != unit
| e0 != op(e1,e3)
| ~ sP8 ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
( ( e0 != unit
& e3 = op(e1,e0) )
| e0 != op(e1,e3)
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( e0 != unit
& e3 = op(e1,e0) )
| e0 != op(e1,e3)
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f3005,plain,
( ~ spl130_61
| ~ spl130_364
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f986,f1935,f3002,f1340]) ).
fof(f1340,plain,
( spl130_61
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_61])]) ).
fof(f986,plain,
( e0 != unit
| op(e1,e4) != unit
| ~ sP9 ),
inference(inner_rewriting,[],[f627]) ).
fof(f627,plain,
( e0 != unit
| e0 != op(e1,e4)
| ~ sP9 ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4)
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4)
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f3000,plain,
( ~ spl130_71
| ~ spl130_363
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f984,f1935,f2997,f1394]) ).
fof(f1394,plain,
( spl130_71
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_71])]) ).
fof(f984,plain,
( e0 != unit
| op(e2,e1) != unit
| ~ sP11 ),
inference(inner_rewriting,[],[f623]) ).
fof(f623,plain,
( e0 != unit
| e0 != op(e2,e1)
| ~ sP11 ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
( ( e0 != unit
& e1 = op(e2,e0) )
| e0 != op(e2,e1)
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( e0 != unit
& e1 = op(e2,e0) )
| e0 != op(e2,e1)
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f2995,plain,
( ~ spl130_362
| spl130_126
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f2854,f1935,f1704,f2992]) ).
fof(f2854,plain,
( unit != op(unit,e1)
| spl130_126
| ~ spl130_175 ),
inference(superposition,[],[f1705,f1936]) ).
fof(f2990,plain,
( ~ spl130_76
| ~ spl130_361
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f983,f1935,f2987,f1423]) ).
fof(f1423,plain,
( spl130_76
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_76])]) ).
fof(f983,plain,
( e0 != unit
| op(e2,e2) != unit
| ~ sP12 ),
inference(inner_rewriting,[],[f621]) ).
fof(f621,plain,
( e0 != unit
| e0 != op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
( ( e0 != unit
& e2 = op(e2,e0) )
| e0 != op(e2,e2)
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e0 != unit
& e2 = op(e2,e0) )
| e0 != op(e2,e2)
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f2985,plain,
( ~ spl130_96
| ~ spl130_360
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f979,f1935,f2982,f1538]) ).
fof(f1538,plain,
( spl130_96
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_96])]) ).
fof(f2982,plain,
( spl130_360
<=> op(e3,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_360])]) ).
fof(f979,plain,
( e0 != unit
| op(e3,e1) != unit
| ~ sP16 ),
inference(inner_rewriting,[],[f613]) ).
fof(f613,plain,
( e0 != unit
| e0 != op(e3,e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ( e0 != unit
& e1 = op(e3,e0) )
| e0 != op(e3,e1)
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( e0 != unit
& e1 = op(e3,e0) )
| e0 != op(e3,e1)
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f2980,plain,
( ~ spl130_101
| ~ spl130_359
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f978,f1935,f2977,f1563]) ).
fof(f1563,plain,
( spl130_101
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_101])]) ).
fof(f978,plain,
( e0 != unit
| op(e3,e2) != unit
| ~ sP17 ),
inference(inner_rewriting,[],[f611]) ).
fof(f611,plain,
( e0 != unit
| e0 != op(e3,e2)
| ~ sP17 ),
inference(cnf_transformation,[],[f253]) ).
fof(f253,plain,
( ( e0 != unit
& e2 = op(e3,e0) )
| e0 != op(e3,e2)
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
( ( e0 != unit
& e2 = op(e3,e0) )
| e0 != op(e3,e2)
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f2975,plain,
( ~ spl130_106
| ~ spl130_358
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f977,f1935,f2972,f1590]) ).
fof(f1590,plain,
( spl130_106
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_106])]) ).
fof(f977,plain,
( e0 != unit
| op(e3,e3) != unit
| ~ sP18 ),
inference(inner_rewriting,[],[f609]) ).
fof(f609,plain,
( e0 != unit
| e0 != op(e3,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
( ( e0 != unit
& e3 = op(e3,e0) )
| e0 != op(e3,e3)
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( e0 != unit
& e3 = op(e3,e0) )
| e0 != op(e3,e3)
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f2970,plain,
( ~ spl130_111
| ~ spl130_357
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f976,f1935,f2967,f1617]) ).
fof(f1617,plain,
( spl130_111
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_111])]) ).
fof(f976,plain,
( e0 != unit
| op(e3,e4) != unit
| ~ sP19 ),
inference(inner_rewriting,[],[f607]) ).
fof(f607,plain,
( e0 != unit
| e0 != op(e3,e4)
| ~ sP19 ),
inference(cnf_transformation,[],[f251]) ).
fof(f251,plain,
( ( e0 != unit
& e4 = op(e3,e0) )
| e0 != op(e3,e4)
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e0 != unit
& e4 = op(e3,e0) )
| e0 != op(e3,e4)
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f2964,plain,
( ~ spl130_356
| spl130_125
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f2853,f1935,f1700,f2961]) ).
fof(f2961,plain,
( spl130_356
<=> e1 = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_356])]) ).
fof(f2853,plain,
( e1 != op(unit,unit)
| spl130_125
| ~ spl130_175 ),
inference(superposition,[],[f1702,f1936]) ).
fof(f1702,plain,
( op(e0,e0) != e1
| spl130_125 ),
inference(avatar_component_clause,[],[f1700]) ).
fof(f2959,plain,
( ~ spl130_121
| ~ spl130_355
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f974,f1935,f2956,f1677]) ).
fof(f1677,plain,
( spl130_121
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_121])]) ).
fof(f974,plain,
( e0 != unit
| op(e4,e1) != unit
| ~ sP21 ),
inference(inner_rewriting,[],[f603]) ).
fof(f603,plain,
( e0 != unit
| e0 != op(e4,e1)
| ~ sP21 ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
( ( e0 != unit
& e1 = op(e4,e0) )
| e0 != op(e4,e1)
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( e0 != unit
& e1 = op(e4,e0) )
| e0 != op(e4,e1)
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f2954,plain,
( ~ spl130_353
| ~ spl130_354
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f972,f1935,f2951,f2947]) ).
fof(f972,plain,
( e0 != unit
| op(e4,e3) != unit
| ~ sP23 ),
inference(inner_rewriting,[],[f599]) ).
fof(f599,plain,
( e0 != unit
| e0 != op(e4,e3)
| ~ sP23 ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
( ( e0 != unit
& e3 = op(e4,e0) )
| e0 != op(e4,e3)
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( e0 != unit
& e3 = op(e4,e0) )
| e0 != op(e4,e3)
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f2945,plain,
( ~ spl130_351
| ~ spl130_352
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f971,f1935,f2942,f2938]) ).
fof(f971,plain,
( e0 != unit
| op(e4,e4) != unit
| ~ sP24 ),
inference(inner_rewriting,[],[f597]) ).
fof(f597,plain,
( e0 != unit
| e0 != op(e4,e4)
| ~ sP24 ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4)
| ~ sP24 ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4)
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f2851,plain,
( spl130_175
| spl130_177
| spl130_319
| spl130_176
| spl130_318 ),
inference(avatar_split_clause,[],[f692,f2694,f1940,f2698,f1945,f1935]) ).
fof(f692,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f2849,plain,
( ~ spl130_81
| ~ spl130_350
| spl130_286 ),
inference(avatar_split_clause,[],[f618,f2524,f2846,f1452]) ).
fof(f2524,plain,
( spl130_286
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_286])]) ).
fof(f618,plain,
( e3 = op(e2,e0)
| e0 != op(e2,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f257]) ).
fof(f2843,plain,
( ~ spl130_65
| ~ spl130_349
| spl130_291 ),
inference(avatar_split_clause,[],[f568,f2551,f2840,f1361]) ).
fof(f1361,plain,
( spl130_65
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_65])]) ).
fof(f568,plain,
( e3 = op(e2,e1)
| e1 != op(e2,e3)
| ~ sP38 ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
( ( e1 != unit
& e3 = op(e2,e1) )
| e1 != op(e2,e3)
| ~ sP38 ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e1 != unit
& e3 = op(e2,e1) )
| e1 != op(e2,e3)
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f2838,plain,
( ~ spl130_17
| ~ spl130_348
| spl130_225 ),
inference(avatar_split_clause,[],[f542,f2198,f2835,f1096]) ).
fof(f1096,plain,
( spl130_17
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_17])]) ).
fof(f2835,plain,
( spl130_348
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_348])]) ).
fof(f542,plain,
( e1 = op(e0,e2)
| e2 != op(e0,e1)
| ~ sP51 ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1)
| ~ sP51 ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1)
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f2832,plain,
( ~ spl130_37
| ~ spl130_347
| spl130_273 ),
inference(avatar_split_clause,[],[f534,f2455,f2829,f1203]) ).
fof(f534,plain,
( e0 = op(e1,e2)
| e2 != op(e1,e0)
| ~ sP55 ),
inference(cnf_transformation,[],[f215]) ).
fof(f2827,plain,
( ~ spl130_87
| ~ spl130_345
| spl130_346 ),
inference(avatar_split_clause,[],[f514,f2824,f2820,f1488]) ).
fof(f1488,plain,
( spl130_87
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_87])]) ).
fof(f514,plain,
( e0 = op(e3,e2)
| e2 != op(e3,e0)
| ~ sP65 ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
( ( e2 != unit
& e0 = op(e3,e2) )
| e2 != op(e3,e0)
| ~ sP65 ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e2 != unit
& e0 = op(e3,e2) )
| e2 != op(e3,e0)
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f2818,plain,
( ~ spl130_92
| ~ spl130_344
| spl130_232 ),
inference(avatar_split_clause,[],[f512,f2236,f2815,f1516]) ).
fof(f1516,plain,
( spl130_92
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_92])]) ).
fof(f2815,plain,
( spl130_344
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_344])]) ).
fof(f512,plain,
( e1 = op(e3,e2)
| e2 != op(e3,e1)
| ~ sP66 ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
( ( e2 != unit
& e1 = op(e3,e2) )
| e2 != op(e3,e1)
| ~ sP66 ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e2 != unit
& e1 = op(e3,e2) )
| e2 != op(e3,e1)
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f2813,plain,
( ~ spl130_9
| ~ spl130_342
| spl130_343 ),
inference(avatar_split_clause,[],[f492,f2810,f2806,f1055]) ).
fof(f1055,plain,
( spl130_9
<=> sP76 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_9])]) ).
fof(f492,plain,
( e1 = op(e0,e3)
| e3 != op(e0,e1)
| ~ sP76 ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( ( e3 != unit
& e1 = op(e0,e3) )
| e3 != op(e0,e1)
| ~ sP76 ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e3 != unit
& e1 = op(e0,e3) )
| e3 != op(e0,e1)
| ~ sP76 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f2804,plain,
( ~ spl130_13
| ~ spl130_340
| spl130_341 ),
inference(avatar_split_clause,[],[f490,f2801,f2797,f1076]) ).
fof(f1076,plain,
( spl130_13
<=> sP77 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_13])]) ).
fof(f490,plain,
( e2 = op(e0,e3)
| e3 != op(e0,e2)
| ~ sP77 ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
( ( e3 != unit
& e2 = op(e0,e3) )
| e3 != op(e0,e2)
| ~ sP77 ),
inference(nnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e3 != unit
& e2 = op(e0,e3) )
| e3 != op(e0,e2)
| ~ sP77 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f2794,plain,
( ~ spl130_28
| ~ spl130_339
| spl130_275 ),
inference(avatar_split_clause,[],[f484,f2466,f2791,f1154]) ).
fof(f1154,plain,
( spl130_28
<=> sP80 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_28])]) ).
fof(f2791,plain,
( spl130_339
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_339])]) ).
fof(f2466,plain,
( spl130_275
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_275])]) ).
fof(f484,plain,
( e0 = op(e1,e3)
| e3 != op(e1,e0)
| ~ sP80 ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
( ( e3 != unit
& e0 = op(e1,e3) )
| e3 != op(e1,e0)
| ~ sP80 ),
inference(nnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( e3 != unit
& e0 = op(e1,e3) )
| e3 != op(e1,e0)
| ~ sP80 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f2789,plain,
( ~ spl130_38
| ~ spl130_337
| spl130_338 ),
inference(avatar_split_clause,[],[f480,f2786,f2782,f1209]) ).
fof(f1209,plain,
( spl130_38
<=> sP82 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_38])]) ).
fof(f480,plain,
( e2 = op(e1,e3)
| e3 != op(e1,e2)
| ~ sP82 ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
( ( e3 != unit
& e2 = op(e1,e3) )
| e3 != op(e1,e2)
| ~ sP82 ),
inference(nnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( e3 != unit
& e2 = op(e1,e3) )
| e3 != op(e1,e2)
| ~ sP82 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f2780,plain,
( ~ spl130_103
| ~ spl130_335
| spl130_336 ),
inference(avatar_split_clause,[],[f454,f2777,f2773,f1575]) ).
fof(f1575,plain,
( spl130_103
<=> sP95 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_103])]) ).
fof(f454,plain,
( e0 = op(e4,e3)
| e3 != op(e4,e0)
| ~ sP95 ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
( ( e3 != unit
& e0 = op(e4,e3) )
| e3 != op(e4,e0)
| ~ sP95 ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( e3 != unit
& e0 = op(e4,e3) )
| e3 != op(e4,e0)
| ~ sP95 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f2771,plain,
( ~ spl130_108
| ~ spl130_334
| spl130_315 ),
inference(avatar_split_clause,[],[f452,f2678,f2768,f1600]) ).
fof(f1600,plain,
( spl130_108
<=> sP96 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_108])]) ).
fof(f2678,plain,
( spl130_315
<=> e1 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_315])]) ).
fof(f452,plain,
( e1 = op(e4,e3)
| e3 != op(e4,e1)
| ~ sP96 ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ( e3 != unit
& e1 = op(e4,e3) )
| e3 != op(e4,e1)
| ~ sP96 ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( e3 != unit
& e1 = op(e4,e3) )
| e3 != op(e4,e1)
| ~ sP96 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f2766,plain,
( ~ spl130_15
| ~ spl130_332
| spl130_333 ),
inference(avatar_split_clause,[],[f442,f2763,f2759,f1086]) ).
fof(f1086,plain,
( spl130_15
<=> sP101 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_15])]) ).
fof(f442,plain,
( e1 = op(e0,e4)
| e4 != op(e0,e1)
| ~ sP101 ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
( ( e4 != unit
& e1 = op(e0,e4) )
| e4 != op(e0,e1)
| ~ sP101 ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( e4 != unit
& e1 = op(e0,e4) )
| e4 != op(e0,e1)
| ~ sP101 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).
fof(f2757,plain,
( ~ spl130_19
| ~ spl130_330
| spl130_331 ),
inference(avatar_split_clause,[],[f440,f2754,f2750,f1106]) ).
fof(f1106,plain,
( spl130_19
<=> sP102 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_19])]) ).
fof(f440,plain,
( e2 = op(e0,e4)
| e4 != op(e0,e2)
| ~ sP102 ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
( ( e4 != unit
& e2 = op(e0,e4) )
| e4 != op(e0,e2)
| ~ sP102 ),
inference(nnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( e4 != unit
& e2 = op(e0,e4) )
| e4 != op(e0,e2)
| ~ sP102 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).
fof(f2747,plain,
( ~ spl130_34
| ~ spl130_329
| spl130_277 ),
inference(avatar_split_clause,[],[f434,f2477,f2744,f1187]) ).
fof(f2477,plain,
( spl130_277
<=> e0 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_277])]) ).
fof(f434,plain,
( e0 = op(e1,e4)
| e4 != op(e1,e0)
| ~ sP105 ),
inference(cnf_transformation,[],[f165]) ).
fof(f2742,plain,
( ~ spl130_44
| ~ spl130_327
| spl130_328 ),
inference(avatar_split_clause,[],[f430,f2739,f2735,f1243]) ).
fof(f1243,plain,
( spl130_44
<=> sP107 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_44])]) ).
fof(f430,plain,
( e2 = op(e1,e4)
| e4 != op(e1,e2)
| ~ sP107 ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( ( e4 != unit
& e2 = op(e1,e4) )
| e4 != op(e1,e2)
| ~ sP107 ),
inference(nnf_transformation,[],[f117]) ).
fof(f117,plain,
( ( e4 != unit
& e2 = op(e1,e4) )
| e4 != op(e1,e2)
| ~ sP107 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).
fof(f2733,plain,
( ~ spl130_84
| ~ spl130_325
| spl130_326 ),
inference(avatar_split_clause,[],[f414,f2730,f2726,f1470]) ).
fof(f1470,plain,
( spl130_84
<=> sP115 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_84])]) ).
fof(f414,plain,
( e0 = op(e3,e4)
| e4 != op(e3,e0)
| ~ sP115 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( ( e4 != unit
& e0 = op(e3,e4) )
| e4 != op(e3,e0)
| ~ sP115 ),
inference(nnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( e4 != unit
& e0 = op(e3,e4) )
| e4 != op(e3,e0)
| ~ sP115 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).
fof(f2724,plain,
( ~ spl130_89
| ~ spl130_323
| spl130_324 ),
inference(avatar_split_clause,[],[f412,f2721,f2717,f1499]) ).
fof(f1499,plain,
( spl130_89
<=> sP116 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_89])]) ).
fof(f412,plain,
( e1 = op(e3,e4)
| e4 != op(e3,e1)
| ~ sP116 ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( e4 != unit
& e1 = op(e3,e4) )
| e4 != op(e3,e1)
| ~ sP116 ),
inference(nnf_transformation,[],[f126]) ).
fof(f126,plain,
( ( e4 != unit
& e1 = op(e3,e4) )
| e4 != op(e3,e1)
| ~ sP116 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).
fof(f2715,plain,
( ~ spl130_94
| ~ spl130_321
| spl130_322 ),
inference(avatar_split_clause,[],[f410,f2712,f2708,f1527]) ).
fof(f1527,plain,
( spl130_94
<=> sP117 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_94])]) ).
fof(f410,plain,
( e2 = op(e3,e4)
| e4 != op(e3,e2)
| ~ sP117 ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( ( e4 != unit
& e2 = op(e3,e4) )
| e4 != op(e3,e2)
| ~ sP117 ),
inference(nnf_transformation,[],[f127]) ).
fof(f127,plain,
( ( e4 != unit
& e2 = op(e3,e4) )
| e4 != op(e3,e2)
| ~ sP117 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).
fof(f2706,plain,
( ~ spl130_112
| ~ spl130_320
| spl130_165 ),
inference(avatar_split_clause,[],[f1651,f1885,f2703,f1622]) ).
fof(f1622,plain,
( spl130_112
<=> sP70 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_112])]) ).
fof(f1651,plain,
( e0 = e1
| e2 != op(e4,e0)
| ~ sP70 ),
inference(forward_demodulation,[],[f504,f794]) ).
fof(f504,plain,
( e0 = op(e4,e2)
| e2 != op(e4,e0)
| ~ sP70 ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
( ( e2 != unit
& e0 = op(e4,e2) )
| e2 != op(e4,e0)
| ~ sP70 ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e2 != unit
& e0 = op(e4,e2) )
| e2 != op(e4,e0)
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f2701,plain,
( ~ spl130_79
| ~ spl130_318
| ~ spl130_319 ),
inference(avatar_split_clause,[],[f1468,f2698,f2694,f1442]) ).
fof(f1442,plain,
( spl130_79
<=> sP114 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_79])]) ).
fof(f1468,plain,
( e2 != unit
| e4 != unit
| ~ sP114 ),
inference(forward_demodulation,[],[f881,f687]) ).
fof(f881,plain,
( e4 != unit
| unit != op(e2,unit)
| ~ sP114 ),
inference(inner_rewriting,[],[f417]) ).
fof(f417,plain,
( e4 != unit
| e4 != op(e2,e4)
| ~ sP114 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( ( e4 != unit
& e4 = op(e2,e4) )
| e4 != op(e2,e4)
| ~ sP114 ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
( ( e4 != unit
& e4 = op(e2,e4) )
| e4 != op(e2,e4)
| ~ sP114 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).
fof(f2692,plain,
~ spl130_317,
inference(avatar_split_clause,[],[f792,f2689]) ).
fof(f2689,plain,
( spl130_317
<=> op(e4,e3) = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_317])]) ).
fof(f792,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f2686,plain,
~ spl130_316,
inference(avatar_split_clause,[],[f791,f2683]) ).
fof(f791,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2681,plain,
( ~ spl130_315
| ~ spl130_188
| spl130_314 ),
inference(avatar_split_clause,[],[f2676,f2672,f2000,f2678]) ).
fof(f2672,plain,
( spl130_314
<=> op(e4,e2) = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_314])]) ).
fof(f2676,plain,
( e1 != op(e4,e3)
| ~ spl130_188
| spl130_314 ),
inference(forward_demodulation,[],[f2674,f2002]) ).
fof(f2674,plain,
( op(e4,e2) != op(e4,e3)
| spl130_314 ),
inference(avatar_component_clause,[],[f2672]) ).
fof(f2675,plain,
~ spl130_314,
inference(avatar_split_clause,[],[f790,f2672]) ).
fof(f790,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2670,plain,
~ spl130_313,
inference(avatar_split_clause,[],[f789,f2667]) ).
fof(f2667,plain,
( spl130_313
<=> op(e4,e1) = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_313])]) ).
fof(f789,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2665,plain,
~ spl130_312,
inference(avatar_split_clause,[],[f788,f2662]) ).
fof(f2662,plain,
( spl130_312
<=> op(e4,e1) = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_312])]) ).
fof(f788,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2660,plain,
( ~ spl130_311
| ~ spl130_188
| spl130_310 ),
inference(avatar_split_clause,[],[f2655,f2651,f2000,f2657]) ).
fof(f2651,plain,
( spl130_310
<=> op(e4,e1) = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_310])]) ).
fof(f2655,plain,
( e1 != op(e4,e1)
| ~ spl130_188
| spl130_310 ),
inference(forward_demodulation,[],[f2653,f2002]) ).
fof(f2653,plain,
( op(e4,e1) != op(e4,e2)
| spl130_310 ),
inference(avatar_component_clause,[],[f2651]) ).
fof(f2654,plain,
~ spl130_310,
inference(avatar_split_clause,[],[f787,f2651]) ).
fof(f787,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2649,plain,
~ spl130_309,
inference(avatar_split_clause,[],[f786,f2646]) ).
fof(f2646,plain,
( spl130_309
<=> op(e4,e0) = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_309])]) ).
fof(f786,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2644,plain,
~ spl130_308,
inference(avatar_split_clause,[],[f785,f2641]) ).
fof(f785,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2638,plain,
~ spl130_307,
inference(avatar_split_clause,[],[f784,f2635]) ).
fof(f2635,plain,
( spl130_307
<=> op(e4,e0) = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_307])]) ).
fof(f784,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2633,plain,
~ spl130_306,
inference(avatar_split_clause,[],[f783,f2630]) ).
fof(f2630,plain,
( spl130_306
<=> op(e4,e0) = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_306])]) ).
fof(f783,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2628,plain,
~ spl130_305,
inference(avatar_split_clause,[],[f782,f2625]) ).
fof(f2625,plain,
( spl130_305
<=> op(e3,e3) = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_305])]) ).
fof(f782,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2623,plain,
~ spl130_304,
inference(avatar_split_clause,[],[f781,f2620]) ).
fof(f2620,plain,
( spl130_304
<=> op(e3,e2) = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_304])]) ).
fof(f781,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2618,plain,
~ spl130_303,
inference(avatar_split_clause,[],[f780,f2615]) ).
fof(f2615,plain,
( spl130_303
<=> op(e3,e2) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_303])]) ).
fof(f780,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2613,plain,
~ spl130_302,
inference(avatar_split_clause,[],[f779,f2610]) ).
fof(f2610,plain,
( spl130_302
<=> op(e3,e1) = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_302])]) ).
fof(f779,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2608,plain,
~ spl130_301,
inference(avatar_split_clause,[],[f778,f2605]) ).
fof(f2605,plain,
( spl130_301
<=> op(e3,e1) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_301])]) ).
fof(f778,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2603,plain,
~ spl130_300,
inference(avatar_split_clause,[],[f777,f2600]) ).
fof(f2600,plain,
( spl130_300
<=> op(e3,e1) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_300])]) ).
fof(f777,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2598,plain,
~ spl130_299,
inference(avatar_split_clause,[],[f776,f2595]) ).
fof(f2595,plain,
( spl130_299
<=> op(e3,e0) = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_299])]) ).
fof(f776,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2593,plain,
~ spl130_298,
inference(avatar_split_clause,[],[f775,f2590]) ).
fof(f2590,plain,
( spl130_298
<=> op(e3,e0) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_298])]) ).
fof(f775,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2588,plain,
~ spl130_297,
inference(avatar_split_clause,[],[f774,f2585]) ).
fof(f2585,plain,
( spl130_297
<=> op(e3,e0) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_297])]) ).
fof(f774,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2583,plain,
~ spl130_296,
inference(avatar_split_clause,[],[f773,f2580]) ).
fof(f2580,plain,
( spl130_296
<=> op(e3,e0) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_296])]) ).
fof(f773,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2577,plain,
( ~ spl130_295
| ~ spl130_189
| spl130_294 ),
inference(avatar_split_clause,[],[f2572,f2568,f2005,f2574]) ).
fof(f2574,plain,
( spl130_295
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_295])]) ).
fof(f2568,plain,
( spl130_294
<=> op(e2,e3) = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_294])]) ).
fof(f2572,plain,
( e3 != op(e2,e3)
| ~ spl130_189
| spl130_294 ),
inference(forward_demodulation,[],[f2570,f2007]) ).
fof(f2570,plain,
( op(e2,e3) != op(e2,e4)
| spl130_294 ),
inference(avatar_component_clause,[],[f2568]) ).
fof(f2571,plain,
~ spl130_294,
inference(avatar_split_clause,[],[f772,f2568]) ).
fof(f772,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2565,plain,
~ spl130_293,
inference(avatar_split_clause,[],[f771,f2562]) ).
fof(f771,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2559,plain,
~ spl130_292,
inference(avatar_split_clause,[],[f770,f2556]) ).
fof(f770,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2554,plain,
( ~ spl130_291
| ~ spl130_189
| spl130_290 ),
inference(avatar_split_clause,[],[f2549,f2545,f2005,f2551]) ).
fof(f2545,plain,
( spl130_290
<=> op(e2,e1) = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_290])]) ).
fof(f2549,plain,
( e3 != op(e2,e1)
| ~ spl130_189
| spl130_290 ),
inference(forward_demodulation,[],[f2547,f2007]) ).
fof(f2547,plain,
( op(e2,e1) != op(e2,e4)
| spl130_290 ),
inference(avatar_component_clause,[],[f2545]) ).
fof(f2548,plain,
~ spl130_290,
inference(avatar_split_clause,[],[f769,f2545]) ).
fof(f769,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2543,plain,
( ~ spl130_289
| ~ spl130_190
| spl130_288 ),
inference(avatar_split_clause,[],[f2538,f2534,f2011,f2540]) ).
fof(f2534,plain,
( spl130_288
<=> op(e2,e1) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_288])]) ).
fof(f2538,plain,
( e4 != op(e2,e1)
| ~ spl130_190
| spl130_288 ),
inference(forward_demodulation,[],[f2536,f2013]) ).
fof(f2536,plain,
( op(e2,e1) != op(e2,e3)
| spl130_288 ),
inference(avatar_component_clause,[],[f2534]) ).
fof(f2537,plain,
~ spl130_288,
inference(avatar_split_clause,[],[f768,f2534]) ).
fof(f768,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2532,plain,
~ spl130_287,
inference(avatar_split_clause,[],[f767,f2529]) ).
fof(f767,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2527,plain,
( ~ spl130_286
| ~ spl130_189
| spl130_285 ),
inference(avatar_split_clause,[],[f2522,f2518,f2005,f2524]) ).
fof(f2518,plain,
( spl130_285
<=> op(e2,e0) = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_285])]) ).
fof(f2522,plain,
( e3 != op(e2,e0)
| ~ spl130_189
| spl130_285 ),
inference(forward_demodulation,[],[f2520,f2007]) ).
fof(f2520,plain,
( op(e2,e0) != op(e2,e4)
| spl130_285 ),
inference(avatar_component_clause,[],[f2518]) ).
fof(f2521,plain,
~ spl130_285,
inference(avatar_split_clause,[],[f766,f2518]) ).
fof(f766,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2516,plain,
( ~ spl130_284
| ~ spl130_190
| spl130_283 ),
inference(avatar_split_clause,[],[f2511,f2507,f2011,f2513]) ).
fof(f2507,plain,
( spl130_283
<=> op(e2,e0) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_283])]) ).
fof(f2511,plain,
( e4 != op(e2,e0)
| ~ spl130_190
| spl130_283 ),
inference(forward_demodulation,[],[f2509,f2013]) ).
fof(f2509,plain,
( op(e2,e0) != op(e2,e3)
| spl130_283 ),
inference(avatar_component_clause,[],[f2507]) ).
fof(f2510,plain,
~ spl130_283,
inference(avatar_split_clause,[],[f765,f2507]) ).
fof(f765,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2505,plain,
~ spl130_282,
inference(avatar_split_clause,[],[f764,f2502]) ).
fof(f2502,plain,
( spl130_282
<=> op(e2,e0) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_282])]) ).
fof(f764,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2500,plain,
~ spl130_281,
inference(avatar_split_clause,[],[f763,f2497]) ).
fof(f2497,plain,
( spl130_281
<=> op(e2,e0) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_281])]) ).
fof(f763,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2495,plain,
~ spl130_280,
inference(avatar_split_clause,[],[f762,f2492]) ).
fof(f2492,plain,
( spl130_280
<=> op(e1,e3) = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_280])]) ).
fof(f762,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2490,plain,
~ spl130_279,
inference(avatar_split_clause,[],[f761,f2487]) ).
fof(f2487,plain,
( spl130_279
<=> op(e1,e2) = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_279])]) ).
fof(f761,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2485,plain,
~ spl130_278,
inference(avatar_split_clause,[],[f760,f2482]) ).
fof(f2482,plain,
( spl130_278
<=> op(e1,e2) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_278])]) ).
fof(f760,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2480,plain,
( ~ spl130_277
| ~ spl130_133
| spl130_276 ),
inference(avatar_split_clause,[],[f2475,f2471,f1736,f2477]) ).
fof(f2471,plain,
( spl130_276
<=> op(e1,e1) = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_276])]) ).
fof(f2475,plain,
( e0 != op(e1,e4)
| ~ spl130_133
| spl130_276 ),
inference(forward_demodulation,[],[f2473,f1737]) ).
fof(f2473,plain,
( op(e1,e1) != op(e1,e4)
| spl130_276 ),
inference(avatar_component_clause,[],[f2471]) ).
fof(f2474,plain,
~ spl130_276,
inference(avatar_split_clause,[],[f759,f2471]) ).
fof(f759,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2469,plain,
( ~ spl130_275
| ~ spl130_133
| spl130_274 ),
inference(avatar_split_clause,[],[f2464,f2460,f1736,f2466]) ).
fof(f2460,plain,
( spl130_274
<=> op(e1,e1) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_274])]) ).
fof(f2464,plain,
( e0 != op(e1,e3)
| ~ spl130_133
| spl130_274 ),
inference(forward_demodulation,[],[f2462,f1737]) ).
fof(f2462,plain,
( op(e1,e1) != op(e1,e3)
| spl130_274 ),
inference(avatar_component_clause,[],[f2460]) ).
fof(f2463,plain,
~ spl130_274,
inference(avatar_split_clause,[],[f758,f2460]) ).
fof(f758,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2458,plain,
( ~ spl130_273
| ~ spl130_133
| spl130_272 ),
inference(avatar_split_clause,[],[f2453,f2449,f1736,f2455]) ).
fof(f2449,plain,
( spl130_272
<=> op(e1,e1) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_272])]) ).
fof(f2453,plain,
( e0 != op(e1,e2)
| ~ spl130_133
| spl130_272 ),
inference(forward_demodulation,[],[f2451,f1737]) ).
fof(f2451,plain,
( op(e1,e1) != op(e1,e2)
| spl130_272 ),
inference(avatar_component_clause,[],[f2449]) ).
fof(f2452,plain,
~ spl130_272,
inference(avatar_split_clause,[],[f757,f2449]) ).
fof(f757,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2446,plain,
~ spl130_271,
inference(avatar_split_clause,[],[f756,f2443]) ).
fof(f756,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2440,plain,
~ spl130_270,
inference(avatar_split_clause,[],[f755,f2437]) ).
fof(f755,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2434,plain,
~ spl130_269,
inference(avatar_split_clause,[],[f754,f2431]) ).
fof(f2431,plain,
( spl130_269
<=> op(e1,e0) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_269])]) ).
fof(f754,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2428,plain,
( ~ spl130_268
| ~ spl130_133
| spl130_267 ),
inference(avatar_split_clause,[],[f2423,f2419,f1736,f2425]) ).
fof(f2419,plain,
( spl130_267
<=> op(e1,e0) = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_267])]) ).
fof(f2423,plain,
( e0 != op(e1,e0)
| ~ spl130_133
| spl130_267 ),
inference(forward_demodulation,[],[f2421,f1737]) ).
fof(f2421,plain,
( op(e1,e0) != op(e1,e1)
| spl130_267 ),
inference(avatar_component_clause,[],[f2419]) ).
fof(f2422,plain,
~ spl130_267,
inference(avatar_split_clause,[],[f753,f2419]) ).
fof(f753,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2417,plain,
~ spl130_266,
inference(avatar_split_clause,[],[f752,f2414]) ).
fof(f2414,plain,
( spl130_266
<=> op(e0,e3) = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_266])]) ).
fof(f752,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2412,plain,
~ spl130_265,
inference(avatar_split_clause,[],[f751,f2409]) ).
fof(f2409,plain,
( spl130_265
<=> op(e0,e2) = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_265])]) ).
fof(f751,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2407,plain,
~ spl130_264,
inference(avatar_split_clause,[],[f750,f2404]) ).
fof(f2404,plain,
( spl130_264
<=> op(e0,e2) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_264])]) ).
fof(f750,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2402,plain,
~ spl130_263,
inference(avatar_split_clause,[],[f749,f2399]) ).
fof(f2399,plain,
( spl130_263
<=> op(e0,e1) = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_263])]) ).
fof(f749,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2397,plain,
~ spl130_262,
inference(avatar_split_clause,[],[f748,f2394]) ).
fof(f2394,plain,
( spl130_262
<=> op(e0,e1) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_262])]) ).
fof(f748,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2392,plain,
~ spl130_261,
inference(avatar_split_clause,[],[f747,f2389]) ).
fof(f2389,plain,
( spl130_261
<=> op(e0,e1) = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_261])]) ).
fof(f747,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2387,plain,
~ spl130_260,
inference(avatar_split_clause,[],[f746,f2384]) ).
fof(f746,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2382,plain,
~ spl130_259,
inference(avatar_split_clause,[],[f745,f2379]) ).
fof(f2379,plain,
( spl130_259
<=> op(e0,e0) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_259])]) ).
fof(f745,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2377,plain,
~ spl130_258,
inference(avatar_split_clause,[],[f744,f2374]) ).
fof(f2374,plain,
( spl130_258
<=> op(e0,e0) = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_258])]) ).
fof(f744,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2372,plain,
~ spl130_257,
inference(avatar_split_clause,[],[f743,f2369]) ).
fof(f2369,plain,
( spl130_257
<=> op(e0,e0) = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_257])]) ).
fof(f743,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2367,plain,
~ spl130_256,
inference(avatar_split_clause,[],[f742,f2364]) ).
fof(f2364,plain,
( spl130_256
<=> op(e3,e4) = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_256])]) ).
fof(f742,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2361,plain,
~ spl130_255,
inference(avatar_split_clause,[],[f741,f2358]) ).
fof(f741,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2355,plain,
~ spl130_254,
inference(avatar_split_clause,[],[f740,f2352]) ).
fof(f740,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2350,plain,
~ spl130_253,
inference(avatar_split_clause,[],[f739,f2347]) ).
fof(f2347,plain,
( spl130_253
<=> op(e1,e4) = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_253])]) ).
fof(f739,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2345,plain,
~ spl130_252,
inference(avatar_split_clause,[],[f738,f2342]) ).
fof(f2342,plain,
( spl130_252
<=> op(e1,e4) = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_252])]) ).
fof(f738,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2340,plain,
( ~ spl130_251
| ~ spl130_189
| spl130_250 ),
inference(avatar_split_clause,[],[f2335,f2331,f2005,f2337]) ).
fof(f2331,plain,
( spl130_250
<=> op(e1,e4) = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_250])]) ).
fof(f2335,plain,
( e3 != op(e1,e4)
| ~ spl130_189
| spl130_250 ),
inference(forward_demodulation,[],[f2333,f2007]) ).
fof(f2333,plain,
( op(e1,e4) != op(e2,e4)
| spl130_250 ),
inference(avatar_component_clause,[],[f2331]) ).
fof(f2334,plain,
~ spl130_250,
inference(avatar_split_clause,[],[f737,f2331]) ).
fof(f737,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2329,plain,
~ spl130_249,
inference(avatar_split_clause,[],[f736,f2326]) ).
fof(f2326,plain,
( spl130_249
<=> op(e0,e4) = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_249])]) ).
fof(f736,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2324,plain,
~ spl130_248,
inference(avatar_split_clause,[],[f735,f2321]) ).
fof(f2321,plain,
( spl130_248
<=> op(e0,e4) = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_248])]) ).
fof(f735,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2319,plain,
( ~ spl130_247
| ~ spl130_189
| spl130_246 ),
inference(avatar_split_clause,[],[f2314,f2310,f2005,f2316]) ).
fof(f2316,plain,
( spl130_247
<=> e3 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_247])]) ).
fof(f2310,plain,
( spl130_246
<=> op(e0,e4) = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_246])]) ).
fof(f2314,plain,
( e3 != op(e0,e4)
| ~ spl130_189
| spl130_246 ),
inference(forward_demodulation,[],[f2312,f2007]) ).
fof(f2312,plain,
( op(e0,e4) != op(e2,e4)
| spl130_246 ),
inference(avatar_component_clause,[],[f2310]) ).
fof(f2313,plain,
~ spl130_246,
inference(avatar_split_clause,[],[f734,f2310]) ).
fof(f734,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2308,plain,
~ spl130_245,
inference(avatar_split_clause,[],[f733,f2305]) ).
fof(f2305,plain,
( spl130_245
<=> op(e0,e4) = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_245])]) ).
fof(f733,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2303,plain,
~ spl130_244,
inference(avatar_split_clause,[],[f732,f2300]) ).
fof(f2300,plain,
( spl130_244
<=> op(e3,e3) = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_244])]) ).
fof(f732,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2297,plain,
~ spl130_243,
inference(avatar_split_clause,[],[f731,f2294]) ).
fof(f731,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2291,plain,
~ spl130_242,
inference(avatar_split_clause,[],[f730,f2288]) ).
fof(f2288,plain,
( spl130_242
<=> op(e2,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_242])]) ).
fof(f730,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2286,plain,
~ spl130_241,
inference(avatar_split_clause,[],[f729,f2283]) ).
fof(f2283,plain,
( spl130_241
<=> op(e1,e3) = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_241])]) ).
fof(f729,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2281,plain,
~ spl130_240,
inference(avatar_split_clause,[],[f728,f2278]) ).
fof(f2278,plain,
( spl130_240
<=> op(e1,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_240])]) ).
fof(f728,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2276,plain,
( ~ spl130_239
| ~ spl130_190
| spl130_238 ),
inference(avatar_split_clause,[],[f2271,f2267,f2011,f2273]) ).
fof(f2267,plain,
( spl130_238
<=> op(e1,e3) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_238])]) ).
fof(f2271,plain,
( e4 != op(e1,e3)
| ~ spl130_190
| spl130_238 ),
inference(forward_demodulation,[],[f2269,f2013]) ).
fof(f2269,plain,
( op(e1,e3) != op(e2,e3)
| spl130_238 ),
inference(avatar_component_clause,[],[f2267]) ).
fof(f2270,plain,
~ spl130_238,
inference(avatar_split_clause,[],[f727,f2267]) ).
fof(f727,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2265,plain,
~ spl130_237,
inference(avatar_split_clause,[],[f726,f2262]) ).
fof(f2262,plain,
( spl130_237
<=> op(e0,e3) = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_237])]) ).
fof(f726,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2260,plain,
~ spl130_236,
inference(avatar_split_clause,[],[f725,f2257]) ).
fof(f2257,plain,
( spl130_236
<=> op(e0,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_236])]) ).
fof(f725,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2255,plain,
( ~ spl130_235
| ~ spl130_190
| spl130_234 ),
inference(avatar_split_clause,[],[f2250,f2246,f2011,f2252]) ).
fof(f2252,plain,
( spl130_235
<=> e4 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_235])]) ).
fof(f2246,plain,
( spl130_234
<=> op(e0,e3) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_234])]) ).
fof(f2250,plain,
( e4 != op(e0,e3)
| ~ spl130_190
| spl130_234 ),
inference(forward_demodulation,[],[f2248,f2013]) ).
fof(f2248,plain,
( op(e0,e3) != op(e2,e3)
| spl130_234 ),
inference(avatar_component_clause,[],[f2246]) ).
fof(f2249,plain,
~ spl130_234,
inference(avatar_split_clause,[],[f724,f2246]) ).
fof(f724,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2244,plain,
~ spl130_233,
inference(avatar_split_clause,[],[f723,f2241]) ).
fof(f2241,plain,
( spl130_233
<=> op(e0,e3) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_233])]) ).
fof(f723,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2239,plain,
( ~ spl130_232
| ~ spl130_188
| spl130_231 ),
inference(avatar_split_clause,[],[f2234,f2230,f2000,f2236]) ).
fof(f2230,plain,
( spl130_231
<=> op(e3,e2) = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_231])]) ).
fof(f2234,plain,
( e1 != op(e3,e2)
| ~ spl130_188
| spl130_231 ),
inference(forward_demodulation,[],[f2232,f2002]) ).
fof(f2232,plain,
( op(e3,e2) != op(e4,e2)
| spl130_231 ),
inference(avatar_component_clause,[],[f2230]) ).
fof(f2233,plain,
~ spl130_231,
inference(avatar_split_clause,[],[f722,f2230]) ).
fof(f722,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2227,plain,
~ spl130_230,
inference(avatar_split_clause,[],[f721,f2224]) ).
fof(f721,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2222,plain,
~ spl130_229,
inference(avatar_split_clause,[],[f720,f2219]) ).
fof(f2219,plain,
( spl130_229
<=> op(e2,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_229])]) ).
fof(f720,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2216,plain,
~ spl130_228,
inference(avatar_split_clause,[],[f719,f2213]) ).
fof(f2213,plain,
( spl130_228
<=> op(e1,e2) = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_228])]) ).
fof(f719,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2211,plain,
~ spl130_227,
inference(avatar_split_clause,[],[f718,f2208]) ).
fof(f2208,plain,
( spl130_227
<=> op(e1,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_227])]) ).
fof(f718,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2206,plain,
~ spl130_226,
inference(avatar_split_clause,[],[f717,f2203]) ).
fof(f2203,plain,
( spl130_226
<=> op(e1,e2) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_226])]) ).
fof(f717,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2201,plain,
( ~ spl130_225
| ~ spl130_188
| spl130_224 ),
inference(avatar_split_clause,[],[f2196,f2192,f2000,f2198]) ).
fof(f2192,plain,
( spl130_224
<=> op(e0,e2) = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_224])]) ).
fof(f2196,plain,
( e1 != op(e0,e2)
| ~ spl130_188
| spl130_224 ),
inference(forward_demodulation,[],[f2194,f2002]) ).
fof(f2194,plain,
( op(e0,e2) != op(e4,e2)
| spl130_224 ),
inference(avatar_component_clause,[],[f2192]) ).
fof(f2195,plain,
~ spl130_224,
inference(avatar_split_clause,[],[f716,f2192]) ).
fof(f716,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2190,plain,
~ spl130_223,
inference(avatar_split_clause,[],[f715,f2187]) ).
fof(f2187,plain,
( spl130_223
<=> op(e0,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_223])]) ).
fof(f715,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2185,plain,
~ spl130_222,
inference(avatar_split_clause,[],[f714,f2182]) ).
fof(f2182,plain,
( spl130_222
<=> op(e0,e2) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_222])]) ).
fof(f714,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2180,plain,
~ spl130_221,
inference(avatar_split_clause,[],[f713,f2177]) ).
fof(f2177,plain,
( spl130_221
<=> op(e0,e2) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_221])]) ).
fof(f713,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2175,plain,
~ spl130_220,
inference(avatar_split_clause,[],[f712,f2172]) ).
fof(f2172,plain,
( spl130_220
<=> op(e3,e1) = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_220])]) ).
fof(f712,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2170,plain,
~ spl130_219,
inference(avatar_split_clause,[],[f711,f2167]) ).
fof(f2167,plain,
( spl130_219
<=> op(e2,e1) = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_219])]) ).
fof(f711,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2165,plain,
~ spl130_218,
inference(avatar_split_clause,[],[f710,f2162]) ).
fof(f2162,plain,
( spl130_218
<=> op(e2,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_218])]) ).
fof(f710,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2160,plain,
( ~ spl130_217
| ~ spl130_133
| spl130_216 ),
inference(avatar_split_clause,[],[f2155,f2151,f1736,f2157]) ).
fof(f2151,plain,
( spl130_216
<=> op(e1,e1) = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_216])]) ).
fof(f2155,plain,
( e0 != op(e4,e1)
| ~ spl130_133
| spl130_216 ),
inference(forward_demodulation,[],[f2153,f1737]) ).
fof(f2153,plain,
( op(e1,e1) != op(e4,e1)
| spl130_216 ),
inference(avatar_component_clause,[],[f2151]) ).
fof(f2154,plain,
~ spl130_216,
inference(avatar_split_clause,[],[f709,f2151]) ).
fof(f709,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2149,plain,
( ~ spl130_215
| ~ spl130_133
| spl130_214 ),
inference(avatar_split_clause,[],[f2144,f2140,f1736,f2146]) ).
fof(f2146,plain,
( spl130_215
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_215])]) ).
fof(f2140,plain,
( spl130_214
<=> op(e1,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_214])]) ).
fof(f2144,plain,
( e0 != op(e3,e1)
| ~ spl130_133
| spl130_214 ),
inference(forward_demodulation,[],[f2142,f1737]) ).
fof(f2142,plain,
( op(e1,e1) != op(e3,e1)
| spl130_214 ),
inference(avatar_component_clause,[],[f2140]) ).
fof(f2143,plain,
~ spl130_214,
inference(avatar_split_clause,[],[f708,f2140]) ).
fof(f708,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2138,plain,
( ~ spl130_213
| ~ spl130_133
| spl130_212 ),
inference(avatar_split_clause,[],[f2133,f2129,f1736,f2135]) ).
fof(f2129,plain,
( spl130_212
<=> op(e1,e1) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_212])]) ).
fof(f2133,plain,
( e0 != op(e2,e1)
| ~ spl130_133
| spl130_212 ),
inference(forward_demodulation,[],[f2131,f1737]) ).
fof(f2131,plain,
( op(e1,e1) != op(e2,e1)
| spl130_212 ),
inference(avatar_component_clause,[],[f2129]) ).
fof(f2132,plain,
~ spl130_212,
inference(avatar_split_clause,[],[f707,f2129]) ).
fof(f707,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2127,plain,
~ spl130_211,
inference(avatar_split_clause,[],[f706,f2124]) ).
fof(f2124,plain,
( spl130_211
<=> op(e0,e1) = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_211])]) ).
fof(f706,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2122,plain,
~ spl130_210,
inference(avatar_split_clause,[],[f705,f2119]) ).
fof(f2119,plain,
( spl130_210
<=> op(e0,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_210])]) ).
fof(f705,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2117,plain,
~ spl130_209,
inference(avatar_split_clause,[],[f704,f2114]) ).
fof(f2114,plain,
( spl130_209
<=> op(e0,e1) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_209])]) ).
fof(f704,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2111,plain,
~ spl130_208,
inference(avatar_split_clause,[],[f703,f2108]) ).
fof(f703,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2106,plain,
~ spl130_207,
inference(avatar_split_clause,[],[f702,f2103]) ).
fof(f2103,plain,
( spl130_207
<=> op(e3,e0) = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_207])]) ).
fof(f702,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2101,plain,
~ spl130_206,
inference(avatar_split_clause,[],[f701,f2098]) ).
fof(f2098,plain,
( spl130_206
<=> op(e2,e0) = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_206])]) ).
fof(f701,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2096,plain,
~ spl130_205,
inference(avatar_split_clause,[],[f700,f2093]) ).
fof(f2093,plain,
( spl130_205
<=> op(e2,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_205])]) ).
fof(f700,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2091,plain,
( ~ spl130_204
| ~ spl130_134
| spl130_203 ),
inference(avatar_split_clause,[],[f2086,f2082,f1740,f2088]) ).
fof(f2082,plain,
( spl130_203
<=> op(e1,e0) = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_203])]) ).
fof(f2086,plain,
( e1 != op(e4,e0)
| ~ spl130_134
| spl130_203 ),
inference(forward_demodulation,[],[f2084,f1742]) ).
fof(f2084,plain,
( op(e1,e0) != op(e4,e0)
| spl130_203 ),
inference(avatar_component_clause,[],[f2082]) ).
fof(f2085,plain,
~ spl130_203,
inference(avatar_split_clause,[],[f699,f2082]) ).
fof(f699,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2080,plain,
( ~ spl130_202
| ~ spl130_134
| spl130_201 ),
inference(avatar_split_clause,[],[f2075,f2071,f1740,f2077]) ).
fof(f2071,plain,
( spl130_201
<=> op(e1,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_201])]) ).
fof(f2075,plain,
( e1 != op(e3,e0)
| ~ spl130_134
| spl130_201 ),
inference(forward_demodulation,[],[f2073,f1742]) ).
fof(f2073,plain,
( op(e1,e0) != op(e3,e0)
| spl130_201 ),
inference(avatar_component_clause,[],[f2071]) ).
fof(f2074,plain,
~ spl130_201,
inference(avatar_split_clause,[],[f698,f2071]) ).
fof(f698,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2069,plain,
( ~ spl130_200
| ~ spl130_134
| spl130_199 ),
inference(avatar_split_clause,[],[f2064,f2060,f1740,f2066]) ).
fof(f2060,plain,
( spl130_199
<=> op(e1,e0) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_199])]) ).
fof(f2064,plain,
( e1 != op(e2,e0)
| ~ spl130_134
| spl130_199 ),
inference(forward_demodulation,[],[f2062,f1742]) ).
fof(f2062,plain,
( op(e1,e0) != op(e2,e0)
| spl130_199 ),
inference(avatar_component_clause,[],[f2060]) ).
fof(f2063,plain,
~ spl130_199,
inference(avatar_split_clause,[],[f697,f2060]) ).
fof(f697,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2058,plain,
~ spl130_198,
inference(avatar_split_clause,[],[f696,f2055]) ).
fof(f2055,plain,
( spl130_198
<=> op(e0,e0) = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_198])]) ).
fof(f696,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2053,plain,
~ spl130_197,
inference(avatar_split_clause,[],[f695,f2050]) ).
fof(f2050,plain,
( spl130_197
<=> op(e0,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_197])]) ).
fof(f695,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2048,plain,
~ spl130_196,
inference(avatar_split_clause,[],[f694,f2045]) ).
fof(f2045,plain,
( spl130_196
<=> op(e0,e0) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_196])]) ).
fof(f694,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2042,plain,
~ spl130_195,
inference(avatar_split_clause,[],[f693,f2039]) ).
fof(f2039,plain,
( spl130_195
<=> op(e0,e0) = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_195])]) ).
fof(f693,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2036,plain,
( ~ spl130_1
| spl130_194 ),
inference(avatar_split_clause,[],[f393,f2033,f1019]) ).
fof(f2033,plain,
( spl130_194
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_194])]) ).
fof(f393,plain,
( sP22
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f2031,plain,
( ~ spl130_5
| spl130_193 ),
inference(avatar_split_clause,[],[f295,f2028,f1035]) ).
fof(f1035,plain,
( spl130_5
<=> sP129 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_5])]) ).
fof(f2028,plain,
( spl130_193
<=> sP124 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_193])]) ).
fof(f295,plain,
( sP124
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( sP124
& sP123
& sP122
& sP121
& sP120
& sP119
& sP118
& sP117
& sP116
& sP115
& sP114
& sP113
& sP112
& sP111
& sP110
& sP109
& sP108
& sP107
& sP106
& sP105
& sP104
& sP103
& sP102
& sP101
& sP100 )
| ~ sP129 ),
inference(nnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( sP124
& sP123
& sP122
& sP121
& sP120
& sP119
& sP118
& sP117
& sP116
& sP115
& sP114
& sP113
& sP112
& sP111
& sP110
& sP109
& sP108
& sP107
& sP106
& sP105
& sP104
& sP103
& sP102
& sP101
& sP100 )
| ~ sP129 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).
fof(f2025,plain,
( ~ spl130_3
| spl130_192 ),
inference(avatar_split_clause,[],[f344,f2022,f1027]) ).
fof(f344,plain,
( sP73
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f2019,plain,
( ~ spl130_110
| spl130_191 ),
inference(avatar_split_clause,[],[f1638,f2016,f1612]) ).
fof(f1612,plain,
( spl130_110
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_110])]) ).
fof(f1638,plain,
( e2 = op(e4,e1)
| ~ sP47 ),
inference(trivial_inequality_removal,[],[f1637]) ).
fof(f1637,plain,
( e1 != e1
| e2 = op(e4,e1)
| ~ sP47 ),
inference(forward_demodulation,[],[f550,f794]) ).
fof(f550,plain,
( e2 = op(e4,e1)
| e1 != op(e4,e2)
| ~ sP47 ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
( ( e1 != unit
& e2 = op(e4,e1) )
| e1 != op(e4,e2)
| ~ sP47 ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e1 != unit
& e2 = op(e4,e1) )
| e1 != op(e4,e2)
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f2014,plain,
( ~ spl130_73
| spl130_190 ),
inference(avatar_split_clause,[],[f1433,f2011,f1406]) ).
fof(f1406,plain,
( spl130_73
<=> sP89 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_73])]) ).
fof(f1433,plain,
( e4 = op(e2,e3)
| ~ sP89 ),
inference(trivial_inequality_removal,[],[f1432]) ).
fof(f1432,plain,
( e3 != e3
| e4 = op(e2,e3)
| ~ sP89 ),
inference(forward_demodulation,[],[f466,f795]) ).
fof(f466,plain,
( e4 = op(e2,e3)
| e3 != op(e2,e4)
| ~ sP89 ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( ( e3 != unit
& e4 = op(e2,e3) )
| e3 != op(e2,e4)
| ~ sP89 ),
inference(nnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e3 != unit
& e4 = op(e2,e3) )
| e3 != op(e2,e4)
| ~ sP89 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f2009,plain,
spl130_133,
inference(avatar_split_clause,[],[f996,f1736]) ).
fof(f2008,plain,
spl130_189,
inference(avatar_split_clause,[],[f795,f2005]) ).
fof(f2003,plain,
spl130_188,
inference(avatar_split_clause,[],[f794,f2000]) ).
fof(f1998,plain,
spl130_187,
inference(avatar_split_clause,[],[f691,f1995]) ).
fof(f1993,plain,
spl130_186,
inference(avatar_split_clause,[],[f690,f1990]) ).
fof(f1988,plain,
spl130_185,
inference(avatar_split_clause,[],[f689,f1985]) ).
fof(f689,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f1983,plain,
spl130_184,
inference(avatar_split_clause,[],[f688,f1980]) ).
fof(f688,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1978,plain,
spl130_183,
inference(avatar_split_clause,[],[f687,f1975]) ).
fof(f1973,plain,
spl130_182,
inference(avatar_split_clause,[],[f686,f1970]) ).
fof(f1968,plain,
spl130_181,
inference(avatar_split_clause,[],[f685,f1965]) ).
fof(f1963,plain,
spl130_180,
inference(avatar_split_clause,[],[f684,f1960]) ).
fof(f1958,plain,
spl130_179,
inference(avatar_split_clause,[],[f683,f1955]) ).
fof(f683,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f1953,plain,
spl130_178,
inference(avatar_split_clause,[],[f682,f1950]) ).
fof(f682,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1948,plain,
( ~ spl130_110
| ~ spl130_177 ),
inference(avatar_split_clause,[],[f1640,f1945,f1612]) ).
fof(f1640,plain,
( e1 != unit
| ~ sP47 ),
inference(duplicate_literal_removal,[],[f1639]) ).
fof(f1639,plain,
( e1 != unit
| e1 != unit
| ~ sP47 ),
inference(forward_demodulation,[],[f948,f794]) ).
fof(f948,plain,
( e1 != unit
| op(e4,e2) != unit
| ~ sP47 ),
inference(inner_rewriting,[],[f551]) ).
fof(f551,plain,
( e1 != unit
| e1 != op(e4,e2)
| ~ sP47 ),
inference(cnf_transformation,[],[f223]) ).
fof(f1943,plain,
( ~ spl130_73
| ~ spl130_176 ),
inference(avatar_split_clause,[],[f1435,f1940,f1406]) ).
fof(f1435,plain,
( e3 != unit
| ~ sP89 ),
inference(duplicate_literal_removal,[],[f1434]) ).
fof(f1434,plain,
( e3 != unit
| e3 != unit
| ~ sP89 ),
inference(forward_demodulation,[],[f906,f795]) ).
fof(f906,plain,
( e3 != unit
| op(e2,e4) != unit
| ~ sP89 ),
inference(inner_rewriting,[],[f467]) ).
fof(f467,plain,
( e3 != unit
| e3 != op(e2,e4)
| ~ sP89 ),
inference(cnf_transformation,[],[f181]) ).
fof(f1938,plain,
( ~ spl130_46
| ~ spl130_175 ),
inference(avatar_split_clause,[],[f1285,f1935,f1256]) ).
fof(f1256,plain,
( spl130_46
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_46])]) ).
fof(f1285,plain,
( e0 != unit
| ~ sP6 ),
inference(duplicate_literal_removal,[],[f1284]) ).
fof(f1284,plain,
( e0 != unit
| e0 != unit
| ~ sP6 ),
inference(forward_demodulation,[],[f989,f996]) ).
fof(f989,plain,
( e0 != unit
| op(e1,e1) != unit
| ~ sP6 ),
inference(inner_rewriting,[],[f633]) ).
fof(f633,plain,
( e0 != unit
| e0 != op(e1,e1)
| ~ sP6 ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
( ( e0 != unit
& e1 = op(e1,e0) )
| e0 != op(e1,e1)
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
( ( e0 != unit
& e1 = op(e1,e0) )
| e0 != op(e1,e1)
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1933,plain,
~ spl130_174,
inference(avatar_split_clause,[],[f681,f1930]) ).
fof(f681,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f1928,plain,
~ spl130_173,
inference(avatar_split_clause,[],[f680,f1925]) ).
fof(f680,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f1923,plain,
~ spl130_172,
inference(avatar_split_clause,[],[f679,f1920]) ).
fof(f679,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1918,plain,
~ spl130_171,
inference(avatar_split_clause,[],[f678,f1915]) ).
fof(f678,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f1913,plain,
~ spl130_170,
inference(avatar_split_clause,[],[f677,f1910]) ).
fof(f677,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1908,plain,
~ spl130_169,
inference(avatar_split_clause,[],[f676,f1905]) ).
fof(f676,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f1903,plain,
~ spl130_168,
inference(avatar_split_clause,[],[f675,f1900]) ).
fof(f675,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f1898,plain,
~ spl130_167,
inference(avatar_split_clause,[],[f674,f1895]) ).
fof(f674,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1893,plain,
~ spl130_166,
inference(avatar_split_clause,[],[f673,f1890]) ).
fof(f673,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f1888,plain,
~ spl130_165,
inference(avatar_split_clause,[],[f672,f1885]) ).
fof(f672,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f1883,plain,
( ~ spl130_163
| spl130_164 ),
inference(avatar_split_clause,[],[f669,f1880,f1876]) ).
fof(f669,plain,
( e4 = op(e4,e3)
| e3 != op(e4,e4) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ( sP129
| sP128
| sP127
| sP126
| sP125 )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) ) ),
inference(definition_folding,[],[f9,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f11,plain,
( ( e0 != unit
& op(e0,e0) = e1 )
| e0 != op(e0,e1)
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e0 != unit
& op(e0,e0) = e2 )
| e0 != op(e0,e2)
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f15,plain,
( ( e0 != unit
& e0 = op(e1,e0) )
| e0 != op(e1,e0)
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f20,plain,
( ( e0 != unit
& e0 = op(e2,e0) )
| e0 != op(e2,e0)
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f24,plain,
( ( e0 != unit
& e4 = op(e2,e0) )
| e0 != op(e2,e4)
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0)
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f30,plain,
( ( e0 != unit
& e0 = op(e4,e0) )
| e0 != op(e4,e0)
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f32,plain,
( ( e0 != unit
& e2 = op(e4,e0) )
| e0 != op(e4,e2)
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f35,plain,
( ( e1 != unit
& e0 = op(e0,e1) )
| op(e0,e0) != e1
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f36,plain,
( ( e1 != unit
& e1 = op(e0,e1) )
| e1 != op(e0,e1)
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f37,plain,
( ( e1 != unit
& e2 = op(e0,e1) )
| e1 != op(e0,e2)
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f38,plain,
( ( e1 != unit
& e3 = op(e0,e1) )
| e1 != op(e0,e3)
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f39,plain,
( ( e1 != unit
& e4 = op(e0,e1) )
| e1 != op(e0,e4)
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f40,plain,
( ( e1 != unit
& e0 = op(e1,e1) )
| e1 != op(e1,e0)
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f41,plain,
( ( e1 != unit
& e1 = op(e1,e1) )
| e1 != op(e1,e1)
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f43,plain,
( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3)
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f45,plain,
( ( e1 != unit
& e0 = op(e2,e1) )
| e1 != op(e2,e0)
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f47,plain,
( ( e1 != unit
& e2 = op(e2,e1) )
| e1 != op(e2,e2)
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f49,plain,
( ( e1 != unit
& e4 = op(e2,e1) )
| e1 != op(e2,e4)
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f50,plain,
( ( e1 != unit
& e0 = op(e3,e1) )
| e1 != op(e3,e0)
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f51,plain,
( ( e1 != unit
& e1 = op(e3,e1) )
| e1 != op(e3,e1)
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f52,plain,
( ( e1 != unit
& e2 = op(e3,e1) )
| e1 != op(e3,e2)
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f53,plain,
( ( e1 != unit
& e3 = op(e3,e1) )
| e1 != op(e3,e3)
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f58,plain,
( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3)
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f59,plain,
( ( e1 != unit
& e4 = op(e4,e1) )
| e1 != op(e4,e4)
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f60,plain,
( ( e2 != unit
& e0 = op(e0,e2) )
| op(e0,e0) != e2
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f62,plain,
( ( e2 != unit
& e2 = op(e0,e2) )
| e2 != op(e0,e2)
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f63,plain,
( ( e2 != unit
& e3 = op(e0,e2) )
| e2 != op(e0,e3)
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f66,plain,
( ( e2 != unit
& e1 = op(e1,e2) )
| e2 != op(e1,e1)
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f72,plain,
( ( e2 != unit
& e2 = op(e2,e2) )
| e2 != op(e2,e2)
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f73,plain,
( ( e2 != unit
& e3 = op(e2,e2) )
| e2 != op(e2,e3)
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f77,plain,
( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2)
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f78,plain,
( ( e2 != unit
& e3 = op(e3,e2) )
| e2 != op(e3,e3)
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f81,plain,
( ( e2 != unit
& e1 = op(e4,e2) )
| e2 != op(e4,e1)
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f84,plain,
( ( e2 != unit
& e4 = op(e4,e2) )
| e2 != op(e4,e4)
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f85,plain,
( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f88,plain,
( ( e3 != unit
& e3 = op(e0,e3) )
| e3 != op(e0,e3)
| ~ sP78 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f89,plain,
( ( e3 != unit
& e4 = op(e0,e3) )
| e3 != op(e0,e4)
| ~ sP79 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f91,plain,
( ( e3 != unit
& e1 = op(e1,e3) )
| e3 != op(e1,e1)
| ~ sP81 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f93,plain,
( ( e3 != unit
& e3 = op(e1,e3) )
| e3 != op(e1,e3)
| ~ sP83 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f94,plain,
( ( e3 != unit
& e4 = op(e1,e3) )
| e3 != op(e1,e4)
| ~ sP84 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f95,plain,
( ( e3 != unit
& e0 = op(e2,e3) )
| e3 != op(e2,e0)
| ~ sP85 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f96,plain,
( ( e3 != unit
& e1 = op(e2,e3) )
| e3 != op(e2,e1)
| ~ sP86 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f97,plain,
( ( e3 != unit
& e2 = op(e2,e3) )
| e3 != op(e2,e2)
| ~ sP87 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f98,plain,
( ( e3 != unit
& e3 = op(e2,e3) )
| e3 != op(e2,e3)
| ~ sP88 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f103,plain,
( ( e3 != unit
& e3 = op(e3,e3) )
| e3 != op(e3,e3)
| ~ sP93 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f104,plain,
( ( e3 != unit
& e4 = op(e3,e3) )
| e3 != op(e3,e4)
| ~ sP94 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f107,plain,
( ( e3 != unit
& e2 = op(e4,e3) )
| e3 != op(e4,e2)
| ~ sP97 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f108,plain,
( ( e3 != unit
& e3 = op(e4,e3) )
| e3 != op(e4,e3)
| ~ sP98 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).
fof(f109,plain,
( ( e3 != unit
& e4 = op(e4,e3) )
| e3 != op(e4,e4)
| ~ sP99 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).
fof(f113,plain,
( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3)
| ~ sP103 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).
fof(f114,plain,
( ( e4 != unit
& e4 = op(e0,e4) )
| e4 != op(e0,e4)
| ~ sP104 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).
fof(f116,plain,
( ( e4 != unit
& e1 = op(e1,e4) )
| e4 != op(e1,e1)
| ~ sP106 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).
fof(f118,plain,
( ( e4 != unit
& e3 = op(e1,e4) )
| e4 != op(e1,e3)
| ~ sP108 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).
fof(f122,plain,
( ( e4 != unit
& e2 = op(e2,e4) )
| e4 != op(e2,e2)
| ~ sP112 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).
fof(f123,plain,
( ( e4 != unit
& e3 = op(e2,e4) )
| e4 != op(e2,e3)
| ~ sP113 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).
fof(f128,plain,
( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3)
| ~ sP118 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).
fof(f129,plain,
( ( e4 != unit
& e4 = op(e3,e4) )
| e4 != op(e3,e4)
| ~ sP119 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).
fof(f134,plain,
( ( e4 != unit
& e4 = op(e4,e4) )
| e4 != op(e4,e4)
| ~ sP124 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])]) ).
fof(f136,plain,
( ( sP49
& sP48
& sP47
& sP46
& sP45
& sP44
& sP43
& sP42
& sP41
& sP40
& sP39
& sP38
& sP37
& sP36
& sP35
& sP34
& sP33
& sP32
& sP31
& sP30
& sP29
& sP28
& sP27
& sP26
& sP25 )
| ~ sP126 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])]) ).
fof(f138,plain,
( ( sP99
& sP98
& sP97
& sP96
& sP95
& sP94
& sP93
& sP92
& sP91
& sP90
& sP89
& sP88
& sP87
& sP86
& sP85
& sP84
& sP83
& sP82
& sP81
& sP80
& sP79
& sP78
& sP77
& sP76
& sP75 )
| ~ sP128 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).
fof(f9,plain,
( ( ( ( ( e4 != unit
& e4 = op(e4,e4) )
| e4 != op(e4,e4) )
& ( ( e4 != unit
& e3 = op(e4,e4) )
| e4 != op(e4,e3) )
& ( ( e4 != unit
& e2 = op(e4,e4) )
| e4 != op(e4,e2) )
& ( ( e4 != unit
& e1 = op(e4,e4) )
| e4 != op(e4,e1) )
& ( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0) )
& ( ( e4 != unit
& e4 = op(e3,e4) )
| e4 != op(e3,e4) )
& ( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3) )
& ( ( e4 != unit
& e2 = op(e3,e4) )
| e4 != op(e3,e2) )
& ( ( e4 != unit
& e1 = op(e3,e4) )
| e4 != op(e3,e1) )
& ( ( e4 != unit
& e0 = op(e3,e4) )
| e4 != op(e3,e0) )
& ( ( e4 != unit
& e4 = op(e2,e4) )
| e4 != op(e2,e4) )
& ( ( e4 != unit
& e3 = op(e2,e4) )
| e4 != op(e2,e3) )
& ( ( e4 != unit
& e2 = op(e2,e4) )
| e4 != op(e2,e2) )
& ( ( e4 != unit
& e1 = op(e2,e4) )
| e4 != op(e2,e1) )
& ( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0) )
& ( ( e4 != unit
& e4 = op(e1,e4) )
| e4 != op(e1,e4) )
& ( ( e4 != unit
& e3 = op(e1,e4) )
| e4 != op(e1,e3) )
& ( ( e4 != unit
& e2 = op(e1,e4) )
| e4 != op(e1,e2) )
& ( ( e4 != unit
& e1 = op(e1,e4) )
| e4 != op(e1,e1) )
& ( ( e4 != unit
& e0 = op(e1,e4) )
| e4 != op(e1,e0) )
& ( ( e4 != unit
& e4 = op(e0,e4) )
| e4 != op(e0,e4) )
& ( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3) )
& ( ( e4 != unit
& e2 = op(e0,e4) )
| e4 != op(e0,e2) )
& ( ( e4 != unit
& e1 = op(e0,e4) )
| e4 != op(e0,e1) )
& ( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4 ) )
| ( ( ( e3 != unit
& e4 = op(e4,e3) )
| e3 != op(e4,e4) )
& ( ( e3 != unit
& e3 = op(e4,e3) )
| e3 != op(e4,e3) )
& ( ( e3 != unit
& e2 = op(e4,e3) )
| e3 != op(e4,e2) )
& ( ( e3 != unit
& e1 = op(e4,e3) )
| e3 != op(e4,e1) )
& ( ( e3 != unit
& e0 = op(e4,e3) )
| e3 != op(e4,e0) )
& ( ( e3 != unit
& e4 = op(e3,e3) )
| e3 != op(e3,e4) )
& ( ( e3 != unit
& e3 = op(e3,e3) )
| e3 != op(e3,e3) )
& ( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2) )
& ( ( e3 != unit
& e1 = op(e3,e3) )
| e3 != op(e3,e1) )
& ( ( e3 != unit
& e0 = op(e3,e3) )
| e3 != op(e3,e0) )
& ( ( e3 != unit
& e4 = op(e2,e3) )
| e3 != op(e2,e4) )
& ( ( e3 != unit
& e3 = op(e2,e3) )
| e3 != op(e2,e3) )
& ( ( e3 != unit
& e2 = op(e2,e3) )
| e3 != op(e2,e2) )
& ( ( e3 != unit
& e1 = op(e2,e3) )
| e3 != op(e2,e1) )
& ( ( e3 != unit
& e0 = op(e2,e3) )
| e3 != op(e2,e0) )
& ( ( e3 != unit
& e4 = op(e1,e3) )
| e3 != op(e1,e4) )
& ( ( e3 != unit
& e3 = op(e1,e3) )
| e3 != op(e1,e3) )
& ( ( e3 != unit
& e2 = op(e1,e3) )
| e3 != op(e1,e2) )
& ( ( e3 != unit
& e1 = op(e1,e3) )
| e3 != op(e1,e1) )
& ( ( e3 != unit
& e0 = op(e1,e3) )
| e3 != op(e1,e0) )
& ( ( e3 != unit
& e4 = op(e0,e3) )
| e3 != op(e0,e4) )
& ( ( e3 != unit
& e3 = op(e0,e3) )
| e3 != op(e0,e3) )
& ( ( e3 != unit
& e2 = op(e0,e3) )
| e3 != op(e0,e2) )
& ( ( e3 != unit
& e1 = op(e0,e3) )
| e3 != op(e0,e1) )
& ( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3 ) )
| ( ( ( e2 != unit
& e4 = op(e4,e2) )
| e2 != op(e4,e4) )
& ( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3) )
& ( ( e2 != unit
& e2 = op(e4,e2) )
| e2 != op(e4,e2) )
& ( ( e2 != unit
& e1 = op(e4,e2) )
| e2 != op(e4,e1) )
& ( ( e2 != unit
& e0 = op(e4,e2) )
| e2 != op(e4,e0) )
& ( ( e2 != unit
& e4 = op(e3,e2) )
| e2 != op(e3,e4) )
& ( ( e2 != unit
& e3 = op(e3,e2) )
| e2 != op(e3,e3) )
& ( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2) )
& ( ( e2 != unit
& e1 = op(e3,e2) )
| e2 != op(e3,e1) )
& ( ( e2 != unit
& e0 = op(e3,e2) )
| e2 != op(e3,e0) )
& ( ( e2 != unit
& e4 = op(e2,e2) )
| e2 != op(e2,e4) )
& ( ( e2 != unit
& e3 = op(e2,e2) )
| e2 != op(e2,e3) )
& ( ( e2 != unit
& e2 = op(e2,e2) )
| e2 != op(e2,e2) )
& ( ( e2 != unit
& e1 = op(e2,e2) )
| e2 != op(e2,e1) )
& ( ( e2 != unit
& e0 = op(e2,e2) )
| e2 != op(e2,e0) )
& ( ( e2 != unit
& e4 = op(e1,e2) )
| e2 != op(e1,e4) )
& ( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3) )
& ( ( e2 != unit
& e2 = op(e1,e2) )
| e2 != op(e1,e2) )
& ( ( e2 != unit
& e1 = op(e1,e2) )
| e2 != op(e1,e1) )
& ( ( e2 != unit
& e0 = op(e1,e2) )
| e2 != op(e1,e0) )
& ( ( e2 != unit
& e4 = op(e0,e2) )
| e2 != op(e0,e4) )
& ( ( e2 != unit
& e3 = op(e0,e2) )
| e2 != op(e0,e3) )
& ( ( e2 != unit
& e2 = op(e0,e2) )
| e2 != op(e0,e2) )
& ( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1) )
& ( ( e2 != unit
& e0 = op(e0,e2) )
| op(e0,e0) != e2 ) )
| ( ( ( e1 != unit
& e4 = op(e4,e1) )
| e1 != op(e4,e4) )
& ( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3) )
& ( ( e1 != unit
& e2 = op(e4,e1) )
| e1 != op(e4,e2) )
& ( ( e1 != unit
& e1 = op(e4,e1) )
| e1 != op(e4,e1) )
& ( ( e1 != unit
& e0 = op(e4,e1) )
| e1 != op(e4,e0) )
& ( ( e1 != unit
& e4 = op(e3,e1) )
| e1 != op(e3,e4) )
& ( ( e1 != unit
& e3 = op(e3,e1) )
| e1 != op(e3,e3) )
& ( ( e1 != unit
& e2 = op(e3,e1) )
| e1 != op(e3,e2) )
& ( ( e1 != unit
& e1 = op(e3,e1) )
| e1 != op(e3,e1) )
& ( ( e1 != unit
& e0 = op(e3,e1) )
| e1 != op(e3,e0) )
& ( ( e1 != unit
& e4 = op(e2,e1) )
| e1 != op(e2,e4) )
& ( ( e1 != unit
& e3 = op(e2,e1) )
| e1 != op(e2,e3) )
& ( ( e1 != unit
& e2 = op(e2,e1) )
| e1 != op(e2,e2) )
& ( ( e1 != unit
& e1 = op(e2,e1) )
| e1 != op(e2,e1) )
& ( ( e1 != unit
& e0 = op(e2,e1) )
| e1 != op(e2,e0) )
& ( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4) )
& ( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3) )
& ( ( e1 != unit
& e2 = op(e1,e1) )
| e1 != op(e1,e2) )
& ( ( e1 != unit
& e1 = op(e1,e1) )
| e1 != op(e1,e1) )
& ( ( e1 != unit
& e0 = op(e1,e1) )
| e1 != op(e1,e0) )
& ( ( e1 != unit
& e4 = op(e0,e1) )
| e1 != op(e0,e4) )
& ( ( e1 != unit
& e3 = op(e0,e1) )
| e1 != op(e0,e3) )
& ( ( e1 != unit
& e2 = op(e0,e1) )
| e1 != op(e0,e2) )
& ( ( e1 != unit
& e1 = op(e0,e1) )
| e1 != op(e0,e1) )
& ( ( e1 != unit
& e0 = op(e0,e1) )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4) )
& ( ( e0 != unit
& e3 = op(e4,e0) )
| e0 != op(e4,e3) )
& ( ( e0 != unit
& e2 = op(e4,e0) )
| e0 != op(e4,e2) )
& ( ( e0 != unit
& e1 = op(e4,e0) )
| e0 != op(e4,e1) )
& ( ( e0 != unit
& e0 = op(e4,e0) )
| e0 != op(e4,e0) )
& ( ( e0 != unit
& e4 = op(e3,e0) )
| e0 != op(e3,e4) )
& ( ( e0 != unit
& e3 = op(e3,e0) )
| e0 != op(e3,e3) )
& ( ( e0 != unit
& e2 = op(e3,e0) )
| e0 != op(e3,e2) )
& ( ( e0 != unit
& e1 = op(e3,e0) )
| e0 != op(e3,e1) )
& ( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0) )
& ( ( e0 != unit
& e4 = op(e2,e0) )
| e0 != op(e2,e4) )
& ( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3) )
& ( ( e0 != unit
& e2 = op(e2,e0) )
| e0 != op(e2,e2) )
& ( ( e0 != unit
& e1 = op(e2,e0) )
| e0 != op(e2,e1) )
& ( ( e0 != unit
& e0 = op(e2,e0) )
| e0 != op(e2,e0) )
& ( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4) )
& ( ( e0 != unit
& e3 = op(e1,e0) )
| e0 != op(e1,e3) )
& ( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2) )
& ( ( e0 != unit
& e1 = op(e1,e0) )
| e0 != op(e1,e1) )
& ( ( e0 != unit
& e0 = op(e1,e0) )
| e0 != op(e1,e0) )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4) )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| e0 != op(e0,e3) )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| e0 != op(e0,e2) )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| e0 != op(e0,e1) )
& ( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0) ) ) )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( ( ( e4 != unit
& e4 = op(e4,e4) )
| e4 != op(e4,e4) )
& ( ( e4 != unit
& e3 = op(e4,e4) )
| e4 != op(e4,e3) )
& ( ( e4 != unit
& e2 = op(e4,e4) )
| e4 != op(e4,e2) )
& ( ( e4 != unit
& e1 = op(e4,e4) )
| e4 != op(e4,e1) )
& ( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0) )
& ( ( e4 != unit
& e4 = op(e3,e4) )
| e4 != op(e3,e4) )
& ( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3) )
& ( ( e4 != unit
& e2 = op(e3,e4) )
| e4 != op(e3,e2) )
& ( ( e4 != unit
& e1 = op(e3,e4) )
| e4 != op(e3,e1) )
& ( ( e4 != unit
& e0 = op(e3,e4) )
| e4 != op(e3,e0) )
& ( ( e4 != unit
& e4 = op(e2,e4) )
| e4 != op(e2,e4) )
& ( ( e4 != unit
& e3 = op(e2,e4) )
| e4 != op(e2,e3) )
& ( ( e4 != unit
& e2 = op(e2,e4) )
| e4 != op(e2,e2) )
& ( ( e4 != unit
& e1 = op(e2,e4) )
| e4 != op(e2,e1) )
& ( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0) )
& ( ( e4 != unit
& e4 = op(e1,e4) )
| e4 != op(e1,e4) )
& ( ( e4 != unit
& e3 = op(e1,e4) )
| e4 != op(e1,e3) )
& ( ( e4 != unit
& e2 = op(e1,e4) )
| e4 != op(e1,e2) )
& ( ( e4 != unit
& e1 = op(e1,e4) )
| e4 != op(e1,e1) )
& ( ( e4 != unit
& e0 = op(e1,e4) )
| e4 != op(e1,e0) )
& ( ( e4 != unit
& e4 = op(e0,e4) )
| e4 != op(e0,e4) )
& ( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3) )
& ( ( e4 != unit
& e2 = op(e0,e4) )
| e4 != op(e0,e2) )
& ( ( e4 != unit
& e1 = op(e0,e4) )
| e4 != op(e0,e1) )
& ( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4 ) )
| ( ( ( e3 != unit
& e4 = op(e4,e3) )
| e3 != op(e4,e4) )
& ( ( e3 != unit
& e3 = op(e4,e3) )
| e3 != op(e4,e3) )
& ( ( e3 != unit
& e2 = op(e4,e3) )
| e3 != op(e4,e2) )
& ( ( e3 != unit
& e1 = op(e4,e3) )
| e3 != op(e4,e1) )
& ( ( e3 != unit
& e0 = op(e4,e3) )
| e3 != op(e4,e0) )
& ( ( e3 != unit
& e4 = op(e3,e3) )
| e3 != op(e3,e4) )
& ( ( e3 != unit
& e3 = op(e3,e3) )
| e3 != op(e3,e3) )
& ( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2) )
& ( ( e3 != unit
& e1 = op(e3,e3) )
| e3 != op(e3,e1) )
& ( ( e3 != unit
& e0 = op(e3,e3) )
| e3 != op(e3,e0) )
& ( ( e3 != unit
& e4 = op(e2,e3) )
| e3 != op(e2,e4) )
& ( ( e3 != unit
& e3 = op(e2,e3) )
| e3 != op(e2,e3) )
& ( ( e3 != unit
& e2 = op(e2,e3) )
| e3 != op(e2,e2) )
& ( ( e3 != unit
& e1 = op(e2,e3) )
| e3 != op(e2,e1) )
& ( ( e3 != unit
& e0 = op(e2,e3) )
| e3 != op(e2,e0) )
& ( ( e3 != unit
& e4 = op(e1,e3) )
| e3 != op(e1,e4) )
& ( ( e3 != unit
& e3 = op(e1,e3) )
| e3 != op(e1,e3) )
& ( ( e3 != unit
& e2 = op(e1,e3) )
| e3 != op(e1,e2) )
& ( ( e3 != unit
& e1 = op(e1,e3) )
| e3 != op(e1,e1) )
& ( ( e3 != unit
& e0 = op(e1,e3) )
| e3 != op(e1,e0) )
& ( ( e3 != unit
& e4 = op(e0,e3) )
| e3 != op(e0,e4) )
& ( ( e3 != unit
& e3 = op(e0,e3) )
| e3 != op(e0,e3) )
& ( ( e3 != unit
& e2 = op(e0,e3) )
| e3 != op(e0,e2) )
& ( ( e3 != unit
& e1 = op(e0,e3) )
| e3 != op(e0,e1) )
& ( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3 ) )
| ( ( ( e2 != unit
& e4 = op(e4,e2) )
| e2 != op(e4,e4) )
& ( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3) )
& ( ( e2 != unit
& e2 = op(e4,e2) )
| e2 != op(e4,e2) )
& ( ( e2 != unit
& e1 = op(e4,e2) )
| e2 != op(e4,e1) )
& ( ( e2 != unit
& e0 = op(e4,e2) )
| e2 != op(e4,e0) )
& ( ( e2 != unit
& e4 = op(e3,e2) )
| e2 != op(e3,e4) )
& ( ( e2 != unit
& e3 = op(e3,e2) )
| e2 != op(e3,e3) )
& ( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2) )
& ( ( e2 != unit
& e1 = op(e3,e2) )
| e2 != op(e3,e1) )
& ( ( e2 != unit
& e0 = op(e3,e2) )
| e2 != op(e3,e0) )
& ( ( e2 != unit
& e4 = op(e2,e2) )
| e2 != op(e2,e4) )
& ( ( e2 != unit
& e3 = op(e2,e2) )
| e2 != op(e2,e3) )
& ( ( e2 != unit
& e2 = op(e2,e2) )
| e2 != op(e2,e2) )
& ( ( e2 != unit
& e1 = op(e2,e2) )
| e2 != op(e2,e1) )
& ( ( e2 != unit
& e0 = op(e2,e2) )
| e2 != op(e2,e0) )
& ( ( e2 != unit
& e4 = op(e1,e2) )
| e2 != op(e1,e4) )
& ( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3) )
& ( ( e2 != unit
& e2 = op(e1,e2) )
| e2 != op(e1,e2) )
& ( ( e2 != unit
& e1 = op(e1,e2) )
| e2 != op(e1,e1) )
& ( ( e2 != unit
& e0 = op(e1,e2) )
| e2 != op(e1,e0) )
& ( ( e2 != unit
& e4 = op(e0,e2) )
| e2 != op(e0,e4) )
& ( ( e2 != unit
& e3 = op(e0,e2) )
| e2 != op(e0,e3) )
& ( ( e2 != unit
& e2 = op(e0,e2) )
| e2 != op(e0,e2) )
& ( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1) )
& ( ( e2 != unit
& e0 = op(e0,e2) )
| op(e0,e0) != e2 ) )
| ( ( ( e1 != unit
& e4 = op(e4,e1) )
| e1 != op(e4,e4) )
& ( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3) )
& ( ( e1 != unit
& e2 = op(e4,e1) )
| e1 != op(e4,e2) )
& ( ( e1 != unit
& e1 = op(e4,e1) )
| e1 != op(e4,e1) )
& ( ( e1 != unit
& e0 = op(e4,e1) )
| e1 != op(e4,e0) )
& ( ( e1 != unit
& e4 = op(e3,e1) )
| e1 != op(e3,e4) )
& ( ( e1 != unit
& e3 = op(e3,e1) )
| e1 != op(e3,e3) )
& ( ( e1 != unit
& e2 = op(e3,e1) )
| e1 != op(e3,e2) )
& ( ( e1 != unit
& e1 = op(e3,e1) )
| e1 != op(e3,e1) )
& ( ( e1 != unit
& e0 = op(e3,e1) )
| e1 != op(e3,e0) )
& ( ( e1 != unit
& e4 = op(e2,e1) )
| e1 != op(e2,e4) )
& ( ( e1 != unit
& e3 = op(e2,e1) )
| e1 != op(e2,e3) )
& ( ( e1 != unit
& e2 = op(e2,e1) )
| e1 != op(e2,e2) )
& ( ( e1 != unit
& e1 = op(e2,e1) )
| e1 != op(e2,e1) )
& ( ( e1 != unit
& e0 = op(e2,e1) )
| e1 != op(e2,e0) )
& ( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4) )
& ( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3) )
& ( ( e1 != unit
& e2 = op(e1,e1) )
| e1 != op(e1,e2) )
& ( ( e1 != unit
& e1 = op(e1,e1) )
| e1 != op(e1,e1) )
& ( ( e1 != unit
& e0 = op(e1,e1) )
| e1 != op(e1,e0) )
& ( ( e1 != unit
& e4 = op(e0,e1) )
| e1 != op(e0,e4) )
& ( ( e1 != unit
& e3 = op(e0,e1) )
| e1 != op(e0,e3) )
& ( ( e1 != unit
& e2 = op(e0,e1) )
| e1 != op(e0,e2) )
& ( ( e1 != unit
& e1 = op(e0,e1) )
| e1 != op(e0,e1) )
& ( ( e1 != unit
& e0 = op(e0,e1) )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4) )
& ( ( e0 != unit
& e3 = op(e4,e0) )
| e0 != op(e4,e3) )
& ( ( e0 != unit
& e2 = op(e4,e0) )
| e0 != op(e4,e2) )
& ( ( e0 != unit
& e1 = op(e4,e0) )
| e0 != op(e4,e1) )
& ( ( e0 != unit
& e0 = op(e4,e0) )
| e0 != op(e4,e0) )
& ( ( e0 != unit
& e4 = op(e3,e0) )
| e0 != op(e3,e4) )
& ( ( e0 != unit
& e3 = op(e3,e0) )
| e0 != op(e3,e3) )
& ( ( e0 != unit
& e2 = op(e3,e0) )
| e0 != op(e3,e2) )
& ( ( e0 != unit
& e1 = op(e3,e0) )
| e0 != op(e3,e1) )
& ( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0) )
& ( ( e0 != unit
& e4 = op(e2,e0) )
| e0 != op(e2,e4) )
& ( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3) )
& ( ( e0 != unit
& e2 = op(e2,e0) )
| e0 != op(e2,e2) )
& ( ( e0 != unit
& e1 = op(e2,e0) )
| e0 != op(e2,e1) )
& ( ( e0 != unit
& e0 = op(e2,e0) )
| e0 != op(e2,e0) )
& ( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4) )
& ( ( e0 != unit
& e3 = op(e1,e0) )
| e0 != op(e1,e3) )
& ( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2) )
& ( ( e0 != unit
& e1 = op(e1,e0) )
| e0 != op(e1,e1) )
& ( ( e0 != unit
& e0 = op(e1,e0) )
| e0 != op(e1,e0) )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4) )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| e0 != op(e0,e3) )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| e0 != op(e0,e2) )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| e0 != op(e0,e1) )
& ( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0) ) ) )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( ( ( ( e4 != unit
& e4 = op(e4,e4) )
| e4 != op(e4,e4) )
& ( ( e4 != unit
& e3 = op(e4,e4) )
| e4 != op(e4,e3) )
& ( ( e4 != unit
& e2 = op(e4,e4) )
| e4 != op(e4,e2) )
& ( ( e4 != unit
& e1 = op(e4,e4) )
| e4 != op(e4,e1) )
& ( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0) )
& ( ( e4 != unit
& e4 = op(e3,e4) )
| e4 != op(e3,e4) )
& ( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3) )
& ( ( e4 != unit
& e2 = op(e3,e4) )
| e4 != op(e3,e2) )
& ( ( e4 != unit
& e1 = op(e3,e4) )
| e4 != op(e3,e1) )
& ( ( e4 != unit
& e0 = op(e3,e4) )
| e4 != op(e3,e0) )
& ( ( e4 != unit
& e4 = op(e2,e4) )
| e4 != op(e2,e4) )
& ( ( e4 != unit
& e3 = op(e2,e4) )
| e4 != op(e2,e3) )
& ( ( e4 != unit
& e2 = op(e2,e4) )
| e4 != op(e2,e2) )
& ( ( e4 != unit
& e1 = op(e2,e4) )
| e4 != op(e2,e1) )
& ( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0) )
& ( ( e4 != unit
& e4 = op(e1,e4) )
| e4 != op(e1,e4) )
& ( ( e4 != unit
& e3 = op(e1,e4) )
| e4 != op(e1,e3) )
& ( ( e4 != unit
& e2 = op(e1,e4) )
| e4 != op(e1,e2) )
& ( ( e4 != unit
& e1 = op(e1,e4) )
| e4 != op(e1,e1) )
& ( ( e4 != unit
& e0 = op(e1,e4) )
| e4 != op(e1,e0) )
& ( ( e4 != unit
& e4 = op(e0,e4) )
| e4 != op(e0,e4) )
& ( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3) )
& ( ( e4 != unit
& e2 = op(e0,e4) )
| e4 != op(e0,e2) )
& ( ( e4 != unit
& e1 = op(e0,e4) )
| e4 != op(e0,e1) )
& ( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4 ) )
| ( ( ( e3 != unit
& e4 = op(e4,e3) )
| e3 != op(e4,e4) )
& ( ( e3 != unit
& e3 = op(e4,e3) )
| e3 != op(e4,e3) )
& ( ( e3 != unit
& e2 = op(e4,e3) )
| e3 != op(e4,e2) )
& ( ( e3 != unit
& e1 = op(e4,e3) )
| e3 != op(e4,e1) )
& ( ( e3 != unit
& e0 = op(e4,e3) )
| e3 != op(e4,e0) )
& ( ( e3 != unit
& e4 = op(e3,e3) )
| e3 != op(e3,e4) )
& ( ( e3 != unit
& e3 = op(e3,e3) )
| e3 != op(e3,e3) )
& ( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2) )
& ( ( e3 != unit
& e1 = op(e3,e3) )
| e3 != op(e3,e1) )
& ( ( e3 != unit
& e0 = op(e3,e3) )
| e3 != op(e3,e0) )
& ( ( e3 != unit
& e4 = op(e2,e3) )
| e3 != op(e2,e4) )
& ( ( e3 != unit
& e3 = op(e2,e3) )
| e3 != op(e2,e3) )
& ( ( e3 != unit
& e2 = op(e2,e3) )
| e3 != op(e2,e2) )
& ( ( e3 != unit
& e1 = op(e2,e3) )
| e3 != op(e2,e1) )
& ( ( e3 != unit
& e0 = op(e2,e3) )
| e3 != op(e2,e0) )
& ( ( e3 != unit
& e4 = op(e1,e3) )
| e3 != op(e1,e4) )
& ( ( e3 != unit
& e3 = op(e1,e3) )
| e3 != op(e1,e3) )
& ( ( e3 != unit
& e2 = op(e1,e3) )
| e3 != op(e1,e2) )
& ( ( e3 != unit
& e1 = op(e1,e3) )
| e3 != op(e1,e1) )
& ( ( e3 != unit
& e0 = op(e1,e3) )
| e3 != op(e1,e0) )
& ( ( e3 != unit
& e4 = op(e0,e3) )
| e3 != op(e0,e4) )
& ( ( e3 != unit
& e3 = op(e0,e3) )
| e3 != op(e0,e3) )
& ( ( e3 != unit
& e2 = op(e0,e3) )
| e3 != op(e0,e2) )
& ( ( e3 != unit
& e1 = op(e0,e3) )
| e3 != op(e0,e1) )
& ( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3 ) )
| ( ( ( e2 != unit
& e4 = op(e4,e2) )
| e2 != op(e4,e4) )
& ( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3) )
& ( ( e2 != unit
& e2 = op(e4,e2) )
| e2 != op(e4,e2) )
& ( ( e2 != unit
& e1 = op(e4,e2) )
| e2 != op(e4,e1) )
& ( ( e2 != unit
& e0 = op(e4,e2) )
| e2 != op(e4,e0) )
& ( ( e2 != unit
& e4 = op(e3,e2) )
| e2 != op(e3,e4) )
& ( ( e2 != unit
& e3 = op(e3,e2) )
| e2 != op(e3,e3) )
& ( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2) )
& ( ( e2 != unit
& e1 = op(e3,e2) )
| e2 != op(e3,e1) )
& ( ( e2 != unit
& e0 = op(e3,e2) )
| e2 != op(e3,e0) )
& ( ( e2 != unit
& e4 = op(e2,e2) )
| e2 != op(e2,e4) )
& ( ( e2 != unit
& e3 = op(e2,e2) )
| e2 != op(e2,e3) )
& ( ( e2 != unit
& e2 = op(e2,e2) )
| e2 != op(e2,e2) )
& ( ( e2 != unit
& e1 = op(e2,e2) )
| e2 != op(e2,e1) )
& ( ( e2 != unit
& e0 = op(e2,e2) )
| e2 != op(e2,e0) )
& ( ( e2 != unit
& e4 = op(e1,e2) )
| e2 != op(e1,e4) )
& ( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3) )
& ( ( e2 != unit
& e2 = op(e1,e2) )
| e2 != op(e1,e2) )
& ( ( e2 != unit
& e1 = op(e1,e2) )
| e2 != op(e1,e1) )
& ( ( e2 != unit
& e0 = op(e1,e2) )
| e2 != op(e1,e0) )
& ( ( e2 != unit
& e4 = op(e0,e2) )
| e2 != op(e0,e4) )
& ( ( e2 != unit
& e3 = op(e0,e2) )
| e2 != op(e0,e3) )
& ( ( e2 != unit
& e2 = op(e0,e2) )
| e2 != op(e0,e2) )
& ( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1) )
& ( ( e2 != unit
& e0 = op(e0,e2) )
| op(e0,e0) != e2 ) )
| ( ( ( e1 != unit
& e4 = op(e4,e1) )
| e1 != op(e4,e4) )
& ( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3) )
& ( ( e1 != unit
& e2 = op(e4,e1) )
| e1 != op(e4,e2) )
& ( ( e1 != unit
& e1 = op(e4,e1) )
| e1 != op(e4,e1) )
& ( ( e1 != unit
& e0 = op(e4,e1) )
| e1 != op(e4,e0) )
& ( ( e1 != unit
& e4 = op(e3,e1) )
| e1 != op(e3,e4) )
& ( ( e1 != unit
& e3 = op(e3,e1) )
| e1 != op(e3,e3) )
& ( ( e1 != unit
& e2 = op(e3,e1) )
| e1 != op(e3,e2) )
& ( ( e1 != unit
& e1 = op(e3,e1) )
| e1 != op(e3,e1) )
& ( ( e1 != unit
& e0 = op(e3,e1) )
| e1 != op(e3,e0) )
& ( ( e1 != unit
& e4 = op(e2,e1) )
| e1 != op(e2,e4) )
& ( ( e1 != unit
& e3 = op(e2,e1) )
| e1 != op(e2,e3) )
& ( ( e1 != unit
& e2 = op(e2,e1) )
| e1 != op(e2,e2) )
& ( ( e1 != unit
& e1 = op(e2,e1) )
| e1 != op(e2,e1) )
& ( ( e1 != unit
& e0 = op(e2,e1) )
| e1 != op(e2,e0) )
& ( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4) )
& ( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3) )
& ( ( e1 != unit
& e2 = op(e1,e1) )
| e1 != op(e1,e2) )
& ( ( e1 != unit
& e1 = op(e1,e1) )
| e1 != op(e1,e1) )
& ( ( e1 != unit
& e0 = op(e1,e1) )
| e1 != op(e1,e0) )
& ( ( e1 != unit
& e4 = op(e0,e1) )
| e1 != op(e0,e4) )
& ( ( e1 != unit
& e3 = op(e0,e1) )
| e1 != op(e0,e3) )
& ( ( e1 != unit
& e2 = op(e0,e1) )
| e1 != op(e0,e2) )
& ( ( e1 != unit
& e1 = op(e0,e1) )
| e1 != op(e0,e1) )
& ( ( e1 != unit
& e0 = op(e0,e1) )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4) )
& ( ( e0 != unit
& e3 = op(e4,e0) )
| e0 != op(e4,e3) )
& ( ( e0 != unit
& e2 = op(e4,e0) )
| e0 != op(e4,e2) )
& ( ( e0 != unit
& e1 = op(e4,e0) )
| e0 != op(e4,e1) )
& ( ( e0 != unit
& e0 = op(e4,e0) )
| e0 != op(e4,e0) )
& ( ( e0 != unit
& e4 = op(e3,e0) )
| e0 != op(e3,e4) )
& ( ( e0 != unit
& e3 = op(e3,e0) )
| e0 != op(e3,e3) )
& ( ( e0 != unit
& e2 = op(e3,e0) )
| e0 != op(e3,e2) )
& ( ( e0 != unit
& e1 = op(e3,e0) )
| e0 != op(e3,e1) )
& ( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0) )
& ( ( e0 != unit
& e4 = op(e2,e0) )
| e0 != op(e2,e4) )
& ( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3) )
& ( ( e0 != unit
& e2 = op(e2,e0) )
| e0 != op(e2,e2) )
& ( ( e0 != unit
& e1 = op(e2,e0) )
| e0 != op(e2,e1) )
& ( ( e0 != unit
& e0 = op(e2,e0) )
| e0 != op(e2,e0) )
& ( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4) )
& ( ( e0 != unit
& e3 = op(e1,e0) )
| e0 != op(e1,e3) )
& ( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2) )
& ( ( e0 != unit
& e1 = op(e1,e0) )
| e0 != op(e1,e1) )
& ( ( e0 != unit
& e0 = op(e1,e0) )
| e0 != op(e1,e0) )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4) )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| e0 != op(e0,e3) )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| e0 != op(e0,e2) )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| e0 != op(e0,e1) )
& ( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0) ) ) )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f1873,plain,
( ~ spl130_161
| spl130_162 ),
inference(avatar_split_clause,[],[f668,f1870,f1866]) ).
fof(f668,plain,
( e4 = op(e4,e2)
| e2 != op(e4,e4) ),
inference(cnf_transformation,[],[f140]) ).
fof(f1864,plain,
( ~ spl130_159
| spl130_160 ),
inference(avatar_split_clause,[],[f667,f1861,f1857]) ).
fof(f667,plain,
( e4 = op(e4,e1)
| e1 != op(e4,e4) ),
inference(cnf_transformation,[],[f140]) ).
fof(f1855,plain,
( ~ spl130_157
| spl130_158 ),
inference(avatar_split_clause,[],[f666,f1852,f1848]) ).
fof(f666,plain,
( e4 = op(e4,e0)
| e0 != op(e4,e4) ),
inference(cnf_transformation,[],[f140]) ).
fof(f1846,plain,
( ~ spl130_155
| spl130_156 ),
inference(avatar_split_clause,[],[f665,f1843,f1839]) ).
fof(f665,plain,
( e3 = op(e3,e4)
| e4 != op(e3,e3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f1837,plain,
( ~ spl130_153
| spl130_154 ),
inference(avatar_split_clause,[],[f663,f1834,f1830]) ).
fof(f663,plain,
( e3 = op(e3,e2)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f1828,plain,
( ~ spl130_151
| spl130_152 ),
inference(avatar_split_clause,[],[f662,f1825,f1821]) ).
fof(f662,plain,
( e3 = op(e3,e1)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f1819,plain,
( ~ spl130_149
| spl130_150 ),
inference(avatar_split_clause,[],[f661,f1816,f1812]) ).
fof(f661,plain,
( e3 = op(e3,e0)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f1809,plain,
( ~ spl130_147
| spl130_148 ),
inference(avatar_split_clause,[],[f660,f1806,f1802]) ).
fof(f660,plain,
( e2 = op(e2,e4)
| e4 != op(e2,e2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f1800,plain,
( ~ spl130_145
| spl130_146 ),
inference(avatar_split_clause,[],[f659,f1797,f1793]) ).
fof(f659,plain,
( e2 = op(e2,e3)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f1791,plain,
( ~ spl130_143
| spl130_144 ),
inference(avatar_split_clause,[],[f657,f1788,f1784]) ).
fof(f657,plain,
( e2 = op(e2,e1)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f1782,plain,
( ~ spl130_141
| spl130_142 ),
inference(avatar_split_clause,[],[f656,f1779,f1775]) ).
fof(f656,plain,
( e2 = op(e2,e0)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f1772,plain,
( ~ spl130_139
| spl130_140 ),
inference(avatar_split_clause,[],[f655,f1769,f1765]) ).
fof(f1765,plain,
( spl130_139
<=> e4 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_139])]) ).
fof(f655,plain,
( e1 = op(e1,e4)
| e4 != op(e1,e1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f1762,plain,
( ~ spl130_137
| spl130_138 ),
inference(avatar_split_clause,[],[f654,f1759,f1755]) ).
fof(f1755,plain,
( spl130_137
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_137])]) ).
fof(f654,plain,
( e1 = op(e1,e3)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f1752,plain,
( ~ spl130_135
| spl130_136 ),
inference(avatar_split_clause,[],[f653,f1749,f1745]) ).
fof(f1745,plain,
( spl130_135
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_135])]) ).
fof(f1749,plain,
( spl130_136
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_136])]) ).
fof(f653,plain,
( e1 = op(e1,e2)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f1743,plain,
( ~ spl130_133
| spl130_134 ),
inference(avatar_split_clause,[],[f651,f1740,f1736]) ).
fof(f651,plain,
( e1 = op(e1,e0)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f1734,plain,
( ~ spl130_131
| spl130_132 ),
inference(avatar_split_clause,[],[f650,f1731,f1727]) ).
fof(f650,plain,
( e0 = op(e0,e4)
| op(e0,e0) != e4 ),
inference(cnf_transformation,[],[f140]) ).
fof(f1725,plain,
( ~ spl130_129
| spl130_130 ),
inference(avatar_split_clause,[],[f649,f1722,f1718]) ).
fof(f649,plain,
( e0 = op(e0,e3)
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f140]) ).
fof(f1716,plain,
( ~ spl130_127
| spl130_128 ),
inference(avatar_split_clause,[],[f648,f1713,f1709]) ).
fof(f648,plain,
( e0 = op(e0,e2)
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f140]) ).
fof(f1707,plain,
( ~ spl130_125
| spl130_126 ),
inference(avatar_split_clause,[],[f647,f1704,f1700]) ).
fof(f647,plain,
( e0 = op(e0,e1)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f1698,plain,
( ~ spl130_5
| spl130_124 ),
inference(avatar_split_clause,[],[f294,f1695,f1035]) ).
fof(f294,plain,
( sP123
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1691,plain,
( ~ spl130_4
| spl130_123 ),
inference(avatar_split_clause,[],[f320,f1688,f1031]) ).
fof(f1031,plain,
( spl130_4
<=> sP128 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_4])]) ).
fof(f1688,plain,
( spl130_123
<=> sP99 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_123])]) ).
fof(f320,plain,
( sP99
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( sP99
& sP98
& sP97
& sP96
& sP95
& sP94
& sP93
& sP92
& sP91
& sP90
& sP89
& sP88
& sP87
& sP86
& sP85
& sP84
& sP83
& sP82
& sP81
& sP80
& sP79
& sP78
& sP77
& sP76
& sP75 )
| ~ sP128 ),
inference(nnf_transformation,[],[f138]) ).
fof(f1685,plain,
( ~ spl130_3
| spl130_122 ),
inference(avatar_split_clause,[],[f343,f1682,f1027]) ).
fof(f343,plain,
( sP72
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1680,plain,
( ~ spl130_1
| spl130_121 ),
inference(avatar_split_clause,[],[f392,f1677,f1019]) ).
fof(f392,plain,
( sP21
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1674,plain,
( ~ spl130_2
| spl130_120 ),
inference(avatar_split_clause,[],[f370,f1671,f1023]) ).
fof(f1023,plain,
( spl130_2
<=> sP126 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_2])]) ).
fof(f1671,plain,
( spl130_120
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_120])]) ).
fof(f370,plain,
( sP49
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( sP49
& sP48
& sP47
& sP46
& sP45
& sP44
& sP43
& sP42
& sP41
& sP40
& sP39
& sP38
& sP37
& sP36
& sP35
& sP34
& sP33
& sP32
& sP31
& sP30
& sP29
& sP28
& sP27
& sP26
& sP25 )
| ~ sP126 ),
inference(nnf_transformation,[],[f136]) ).
fof(f1669,plain,
( ~ spl130_5
| spl130_119 ),
inference(avatar_split_clause,[],[f293,f1666,f1035]) ).
fof(f293,plain,
( sP122
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1663,plain,
( ~ spl130_4
| spl130_118 ),
inference(avatar_split_clause,[],[f319,f1660,f1031]) ).
fof(f1660,plain,
( spl130_118
<=> sP98 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_118])]) ).
fof(f319,plain,
( sP98
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1656,plain,
( ~ spl130_3
| spl130_117 ),
inference(avatar_split_clause,[],[f342,f1653,f1027]) ).
fof(f1653,plain,
( spl130_117
<=> sP71 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_117])]) ).
fof(f342,plain,
( sP71
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1650,plain,
( ~ spl130_1
| spl130_116 ),
inference(avatar_split_clause,[],[f391,f1647,f1019]) ).
fof(f1647,plain,
( spl130_116
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_116])]) ).
fof(f391,plain,
( sP20
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1645,plain,
( ~ spl130_2
| spl130_115 ),
inference(avatar_split_clause,[],[f369,f1642,f1023]) ).
fof(f1642,plain,
( spl130_115
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_115])]) ).
fof(f369,plain,
( sP48
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1636,plain,
( ~ spl130_5
| spl130_114 ),
inference(avatar_split_clause,[],[f292,f1633,f1035]) ).
fof(f292,plain,
( sP121
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1630,plain,
( ~ spl130_4
| spl130_113 ),
inference(avatar_split_clause,[],[f318,f1627,f1031]) ).
fof(f1627,plain,
( spl130_113
<=> sP97 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_113])]) ).
fof(f318,plain,
( sP97
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1625,plain,
( ~ spl130_3
| spl130_112 ),
inference(avatar_split_clause,[],[f341,f1622,f1027]) ).
fof(f341,plain,
( sP70
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1620,plain,
( ~ spl130_1
| spl130_111 ),
inference(avatar_split_clause,[],[f390,f1617,f1019]) ).
fof(f390,plain,
( sP19
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1615,plain,
( ~ spl130_2
| spl130_110 ),
inference(avatar_split_clause,[],[f368,f1612,f1023]) ).
fof(f368,plain,
( sP47
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1609,plain,
( ~ spl130_5
| spl130_109 ),
inference(avatar_split_clause,[],[f291,f1606,f1035]) ).
fof(f291,plain,
( sP120
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1603,plain,
( ~ spl130_4
| spl130_108 ),
inference(avatar_split_clause,[],[f317,f1600,f1031]) ).
fof(f317,plain,
( sP96
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1598,plain,
( ~ spl130_3
| spl130_107 ),
inference(avatar_split_clause,[],[f340,f1595,f1027]) ).
fof(f340,plain,
( sP69
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1593,plain,
( ~ spl130_1
| spl130_106 ),
inference(avatar_split_clause,[],[f389,f1590,f1019]) ).
fof(f389,plain,
( sP18
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1588,plain,
( ~ spl130_2
| spl130_105 ),
inference(avatar_split_clause,[],[f367,f1585,f1023]) ).
fof(f367,plain,
( sP46
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1583,plain,
( ~ spl130_5
| spl130_104 ),
inference(avatar_split_clause,[],[f290,f1580,f1035]) ).
fof(f1580,plain,
( spl130_104
<=> sP119 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_104])]) ).
fof(f290,plain,
( sP119
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1578,plain,
( ~ spl130_4
| spl130_103 ),
inference(avatar_split_clause,[],[f316,f1575,f1031]) ).
fof(f316,plain,
( sP95
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1572,plain,
( ~ spl130_3
| spl130_102 ),
inference(avatar_split_clause,[],[f339,f1569,f1027]) ).
fof(f1569,plain,
( spl130_102
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_102])]) ).
fof(f339,plain,
( sP68
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1566,plain,
( ~ spl130_1
| spl130_101 ),
inference(avatar_split_clause,[],[f388,f1563,f1019]) ).
fof(f388,plain,
( sP17
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1561,plain,
( ~ spl130_2
| spl130_100 ),
inference(avatar_split_clause,[],[f366,f1558,f1023]) ).
fof(f366,plain,
( sP45
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1556,plain,
( ~ spl130_5
| spl130_99 ),
inference(avatar_split_clause,[],[f289,f1553,f1035]) ).
fof(f1553,plain,
( spl130_99
<=> sP118 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_99])]) ).
fof(f289,plain,
( sP118
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1551,plain,
( ~ spl130_4
| spl130_98 ),
inference(avatar_split_clause,[],[f315,f1548,f1031]) ).
fof(f1548,plain,
( spl130_98
<=> sP94 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_98])]) ).
fof(f315,plain,
( sP94
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1546,plain,
( ~ spl130_3
| spl130_97 ),
inference(avatar_split_clause,[],[f338,f1543,f1027]) ).
fof(f1543,plain,
( spl130_97
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_97])]) ).
fof(f338,plain,
( sP67
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1541,plain,
( ~ spl130_1
| spl130_96 ),
inference(avatar_split_clause,[],[f387,f1538,f1019]) ).
fof(f387,plain,
( sP16
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1535,plain,
( ~ spl130_2
| spl130_95 ),
inference(avatar_split_clause,[],[f365,f1532,f1023]) ).
fof(f365,plain,
( sP44
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1530,plain,
( ~ spl130_5
| spl130_94 ),
inference(avatar_split_clause,[],[f288,f1527,f1035]) ).
fof(f288,plain,
( sP117
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1525,plain,
( ~ spl130_4
| spl130_93 ),
inference(avatar_split_clause,[],[f314,f1522,f1031]) ).
fof(f1522,plain,
( spl130_93
<=> sP93 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_93])]) ).
fof(f314,plain,
( sP93
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1519,plain,
( ~ spl130_3
| spl130_92 ),
inference(avatar_split_clause,[],[f337,f1516,f1027]) ).
fof(f337,plain,
( sP66
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1514,plain,
( ~ spl130_1
| spl130_91 ),
inference(avatar_split_clause,[],[f386,f1511,f1019]) ).
fof(f1511,plain,
( spl130_91
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_91])]) ).
fof(f386,plain,
( sP15
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1507,plain,
( ~ spl130_2
| spl130_90 ),
inference(avatar_split_clause,[],[f364,f1504,f1023]) ).
fof(f1504,plain,
( spl130_90
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_90])]) ).
fof(f364,plain,
( sP43
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1502,plain,
( ~ spl130_5
| spl130_89 ),
inference(avatar_split_clause,[],[f287,f1499,f1035]) ).
fof(f287,plain,
( sP116
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1497,plain,
( ~ spl130_4
| spl130_88 ),
inference(avatar_split_clause,[],[f313,f1494,f1031]) ).
fof(f313,plain,
( sP92
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1491,plain,
( ~ spl130_3
| spl130_87 ),
inference(avatar_split_clause,[],[f336,f1488,f1027]) ).
fof(f336,plain,
( sP65
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1484,plain,
( ~ spl130_1
| spl130_86 ),
inference(avatar_split_clause,[],[f385,f1481,f1019]) ).
fof(f1481,plain,
( spl130_86
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_86])]) ).
fof(f385,plain,
( sP14
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1479,plain,
( ~ spl130_2
| spl130_85 ),
inference(avatar_split_clause,[],[f363,f1476,f1023]) ).
fof(f1476,plain,
( spl130_85
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_85])]) ).
fof(f363,plain,
( sP42
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1473,plain,
( ~ spl130_5
| spl130_84 ),
inference(avatar_split_clause,[],[f286,f1470,f1035]) ).
fof(f286,plain,
( sP115
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1467,plain,
( ~ spl130_4
| spl130_83 ),
inference(avatar_split_clause,[],[f312,f1464,f1031]) ).
fof(f312,plain,
( sP91
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1461,plain,
( ~ spl130_3
| spl130_82 ),
inference(avatar_split_clause,[],[f335,f1458,f1027]) ).
fof(f335,plain,
( sP64
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1455,plain,
( ~ spl130_1
| spl130_81 ),
inference(avatar_split_clause,[],[f384,f1452,f1019]) ).
fof(f384,plain,
( sP13
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1450,plain,
( ~ spl130_2
| spl130_80 ),
inference(avatar_split_clause,[],[f362,f1447,f1023]) ).
fof(f1447,plain,
( spl130_80
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_80])]) ).
fof(f362,plain,
( sP41
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1445,plain,
( ~ spl130_5
| spl130_79 ),
inference(avatar_split_clause,[],[f285,f1442,f1035]) ).
fof(f285,plain,
( sP114
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1440,plain,
( ~ spl130_4
| spl130_78 ),
inference(avatar_split_clause,[],[f311,f1437,f1031]) ).
fof(f311,plain,
( sP90
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1431,plain,
( ~ spl130_3
| spl130_77 ),
inference(avatar_split_clause,[],[f334,f1428,f1027]) ).
fof(f1428,plain,
( spl130_77
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_77])]) ).
fof(f334,plain,
( sP63
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1426,plain,
( ~ spl130_1
| spl130_76 ),
inference(avatar_split_clause,[],[f383,f1423,f1019]) ).
fof(f383,plain,
( sP12
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1421,plain,
( ~ spl130_2
| spl130_75 ),
inference(avatar_split_clause,[],[f361,f1418,f1023]) ).
fof(f1418,plain,
( spl130_75
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_75])]) ).
fof(f361,plain,
( sP40
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1414,plain,
( ~ spl130_5
| spl130_74 ),
inference(avatar_split_clause,[],[f284,f1411,f1035]) ).
fof(f1411,plain,
( spl130_74
<=> sP113 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_74])]) ).
fof(f284,plain,
( sP113
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1409,plain,
( ~ spl130_4
| spl130_73 ),
inference(avatar_split_clause,[],[f310,f1406,f1031]) ).
fof(f310,plain,
( sP89
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1403,plain,
( ~ spl130_3
| spl130_72 ),
inference(avatar_split_clause,[],[f333,f1400,f1027]) ).
fof(f1400,plain,
( spl130_72
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_72])]) ).
fof(f333,plain,
( sP62
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1397,plain,
( ~ spl130_1
| spl130_71 ),
inference(avatar_split_clause,[],[f382,f1394,f1019]) ).
fof(f382,plain,
( sP11
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1391,plain,
( ~ spl130_2
| spl130_70 ),
inference(avatar_split_clause,[],[f360,f1388,f1023]) ).
fof(f1388,plain,
( spl130_70
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_70])]) ).
fof(f360,plain,
( sP39
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1386,plain,
( ~ spl130_5
| spl130_69 ),
inference(avatar_split_clause,[],[f283,f1383,f1035]) ).
fof(f1383,plain,
( spl130_69
<=> sP112 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_69])]) ).
fof(f283,plain,
( sP112
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1380,plain,
( ~ spl130_4
| spl130_68 ),
inference(avatar_split_clause,[],[f309,f1377,f1031]) ).
fof(f1377,plain,
( spl130_68
<=> sP88 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_68])]) ).
fof(f309,plain,
( sP88
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1375,plain,
( ~ spl130_3
| spl130_67 ),
inference(avatar_split_clause,[],[f332,f1372,f1027]) ).
fof(f332,plain,
( sP61
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1369,plain,
( ~ spl130_1
| spl130_66 ),
inference(avatar_split_clause,[],[f381,f1366,f1019]) ).
fof(f1366,plain,
( spl130_66
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_66])]) ).
fof(f381,plain,
( sP10
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1364,plain,
( ~ spl130_2
| spl130_65 ),
inference(avatar_split_clause,[],[f359,f1361,f1023]) ).
fof(f359,plain,
( sP38
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1359,plain,
( ~ spl130_5
| spl130_64 ),
inference(avatar_split_clause,[],[f282,f1356,f1035]) ).
fof(f282,plain,
( sP111
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1353,plain,
( ~ spl130_4
| spl130_63 ),
inference(avatar_split_clause,[],[f308,f1350,f1031]) ).
fof(f1350,plain,
( spl130_63
<=> sP87 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_63])]) ).
fof(f308,plain,
( sP87
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1348,plain,
( ~ spl130_3
| spl130_62 ),
inference(avatar_split_clause,[],[f331,f1345,f1027]) ).
fof(f331,plain,
( sP60
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1343,plain,
( ~ spl130_1
| spl130_61 ),
inference(avatar_split_clause,[],[f380,f1340,f1019]) ).
fof(f380,plain,
( sP9
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1338,plain,
( ~ spl130_2
| spl130_60 ),
inference(avatar_split_clause,[],[f358,f1335,f1023]) ).
fof(f1335,plain,
( spl130_60
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_60])]) ).
fof(f358,plain,
( sP37
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1332,plain,
( ~ spl130_5
| spl130_59 ),
inference(avatar_split_clause,[],[f281,f1329,f1035]) ).
fof(f281,plain,
( sP110
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1326,plain,
( ~ spl130_4
| spl130_58 ),
inference(avatar_split_clause,[],[f307,f1323,f1031]) ).
fof(f1323,plain,
( spl130_58
<=> sP86 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_58])]) ).
fof(f307,plain,
( sP86
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1321,plain,
( ~ spl130_3
| spl130_57 ),
inference(avatar_split_clause,[],[f330,f1318,f1027]) ).
fof(f330,plain,
( sP59
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1316,plain,
( ~ spl130_1
| spl130_56 ),
inference(avatar_split_clause,[],[f379,f1313,f1019]) ).
fof(f379,plain,
( sP8
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1311,plain,
( ~ spl130_2
| spl130_55 ),
inference(avatar_split_clause,[],[f357,f1308,f1023]) ).
fof(f357,plain,
( sP36
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1306,plain,
( ~ spl130_5
| spl130_54 ),
inference(avatar_split_clause,[],[f280,f1303,f1035]) ).
fof(f280,plain,
( sP109
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1301,plain,
( ~ spl130_4
| spl130_53 ),
inference(avatar_split_clause,[],[f306,f1298,f1031]) ).
fof(f1298,plain,
( spl130_53
<=> sP85 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_53])]) ).
fof(f306,plain,
( sP85
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1296,plain,
( ~ spl130_3
| spl130_52 ),
inference(avatar_split_clause,[],[f329,f1293,f1027]) ).
fof(f329,plain,
( sP58
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1290,plain,
( ~ spl130_1
| spl130_51 ),
inference(avatar_split_clause,[],[f378,f1287,f1019]) ).
fof(f378,plain,
( sP7
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1283,plain,
( ~ spl130_2
| spl130_50 ),
inference(avatar_split_clause,[],[f356,f1280,f1023]) ).
fof(f1280,plain,
( spl130_50
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_50])]) ).
fof(f356,plain,
( sP35
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1276,plain,
( ~ spl130_5
| spl130_49 ),
inference(avatar_split_clause,[],[f279,f1273,f1035]) ).
fof(f1273,plain,
( spl130_49
<=> sP108 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_49])]) ).
fof(f279,plain,
( sP108
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1271,plain,
( ~ spl130_4
| spl130_48 ),
inference(avatar_split_clause,[],[f305,f1268,f1031]) ).
fof(f1268,plain,
( spl130_48
<=> sP84 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_48])]) ).
fof(f305,plain,
( sP84
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1265,plain,
( ~ spl130_3
| spl130_47 ),
inference(avatar_split_clause,[],[f328,f1262,f1027]) ).
fof(f328,plain,
( sP57
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1259,plain,
( ~ spl130_1
| spl130_46 ),
inference(avatar_split_clause,[],[f377,f1256,f1019]) ).
fof(f377,plain,
( sP6
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1253,plain,
( ~ spl130_2
| spl130_45 ),
inference(avatar_split_clause,[],[f355,f1250,f1023]) ).
fof(f355,plain,
( sP34
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1246,plain,
( ~ spl130_5
| spl130_44 ),
inference(avatar_split_clause,[],[f278,f1243,f1035]) ).
fof(f278,plain,
( sP107
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1240,plain,
( ~ spl130_4
| spl130_43 ),
inference(avatar_split_clause,[],[f304,f1237,f1031]) ).
fof(f1237,plain,
( spl130_43
<=> sP83 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_43])]) ).
fof(f304,plain,
( sP83
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1235,plain,
( ~ spl130_3
| spl130_42 ),
inference(avatar_split_clause,[],[f327,f1232,f1027]) ).
fof(f1232,plain,
( spl130_42
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_42])]) ).
fof(f327,plain,
( sP56
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1230,plain,
( ~ spl130_1
| spl130_41 ),
inference(avatar_split_clause,[],[f376,f1227,f1019]) ).
fof(f1227,plain,
( spl130_41
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_41])]) ).
fof(f376,plain,
( sP5
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1224,plain,
( ~ spl130_2
| spl130_40 ),
inference(avatar_split_clause,[],[f354,f1221,f1023]) ).
fof(f1221,plain,
( spl130_40
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_40])]) ).
fof(f354,plain,
( sP33
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1217,plain,
( ~ spl130_5
| spl130_39 ),
inference(avatar_split_clause,[],[f277,f1214,f1035]) ).
fof(f1214,plain,
( spl130_39
<=> sP106 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_39])]) ).
fof(f277,plain,
( sP106
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1212,plain,
( ~ spl130_4
| spl130_38 ),
inference(avatar_split_clause,[],[f303,f1209,f1031]) ).
fof(f303,plain,
( sP82
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1206,plain,
( ~ spl130_3
| spl130_37 ),
inference(avatar_split_clause,[],[f326,f1203,f1027]) ).
fof(f326,plain,
( sP55
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1201,plain,
( ~ spl130_1
| spl130_36 ),
inference(avatar_split_clause,[],[f375,f1198,f1019]) ).
fof(f375,plain,
( sP4
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1195,plain,
( ~ spl130_2
| spl130_35 ),
inference(avatar_split_clause,[],[f353,f1192,f1023]) ).
fof(f353,plain,
( sP32
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1190,plain,
( ~ spl130_5
| spl130_34 ),
inference(avatar_split_clause,[],[f276,f1187,f1035]) ).
fof(f276,plain,
( sP105
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1184,plain,
( ~ spl130_4
| spl130_33 ),
inference(avatar_split_clause,[],[f302,f1181,f1031]) ).
fof(f1181,plain,
( spl130_33
<=> sP81 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_33])]) ).
fof(f302,plain,
( sP81
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1179,plain,
( ~ spl130_3
| spl130_32 ),
inference(avatar_split_clause,[],[f325,f1176,f1027]) ).
fof(f325,plain,
( sP54
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1174,plain,
( ~ spl130_1
| spl130_31 ),
inference(avatar_split_clause,[],[f374,f1171,f1019]) ).
fof(f374,plain,
( sP3
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1168,plain,
( ~ spl130_2
| spl130_30 ),
inference(avatar_split_clause,[],[f352,f1165,f1023]) ).
fof(f1165,plain,
( spl130_30
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_30])]) ).
fof(f352,plain,
( sP31
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1162,plain,
( ~ spl130_5
| spl130_29 ),
inference(avatar_split_clause,[],[f275,f1159,f1035]) ).
fof(f1159,plain,
( spl130_29
<=> sP104 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_29])]) ).
fof(f275,plain,
( sP104
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1157,plain,
( ~ spl130_4
| spl130_28 ),
inference(avatar_split_clause,[],[f301,f1154,f1031]) ).
fof(f301,plain,
( sP80
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1152,plain,
( ~ spl130_3
| spl130_27 ),
inference(avatar_split_clause,[],[f324,f1149,f1027]) ).
fof(f1149,plain,
( spl130_27
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_27])]) ).
fof(f324,plain,
( sP53
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1146,plain,
( ~ spl130_1
| spl130_26 ),
inference(avatar_split_clause,[],[f373,f1143,f1019]) ).
fof(f1143,plain,
( spl130_26
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_26])]) ).
fof(f373,plain,
( sP2
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1140,plain,
( ~ spl130_2
| spl130_25 ),
inference(avatar_split_clause,[],[f351,f1137,f1023]) ).
fof(f1137,plain,
( spl130_25
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_25])]) ).
fof(f351,plain,
( sP30
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1135,plain,
( ~ spl130_5
| spl130_24 ),
inference(avatar_split_clause,[],[f274,f1132,f1035]) ).
fof(f1132,plain,
( spl130_24
<=> sP103 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_24])]) ).
fof(f274,plain,
( sP103
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1130,plain,
( ~ spl130_4
| spl130_23 ),
inference(avatar_split_clause,[],[f300,f1127,f1031]) ).
fof(f1127,plain,
( spl130_23
<=> sP79 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_23])]) ).
fof(f300,plain,
( sP79
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1124,plain,
( ~ spl130_3
| spl130_22 ),
inference(avatar_split_clause,[],[f323,f1121,f1027]) ).
fof(f1121,plain,
( spl130_22
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_22])]) ).
fof(f323,plain,
( sP52
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1119,plain,
( ~ spl130_1
| spl130_21 ),
inference(avatar_split_clause,[],[f372,f1116,f1019]) ).
fof(f1116,plain,
( spl130_21
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_21])]) ).
fof(f372,plain,
( sP1
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1114,plain,
( ~ spl130_2
| spl130_20 ),
inference(avatar_split_clause,[],[f350,f1111,f1023]) ).
fof(f1111,plain,
( spl130_20
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_20])]) ).
fof(f350,plain,
( sP29
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1109,plain,
( ~ spl130_5
| spl130_19 ),
inference(avatar_split_clause,[],[f273,f1106,f1035]) ).
fof(f273,plain,
( sP102
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1104,plain,
( ~ spl130_4
| spl130_18 ),
inference(avatar_split_clause,[],[f299,f1101,f1031]) ).
fof(f1101,plain,
( spl130_18
<=> sP78 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_18])]) ).
fof(f299,plain,
( sP78
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1099,plain,
( ~ spl130_3
| spl130_17 ),
inference(avatar_split_clause,[],[f322,f1096,f1027]) ).
fof(f322,plain,
( sP51
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1094,plain,
( ~ spl130_2
| spl130_16 ),
inference(avatar_split_clause,[],[f349,f1091,f1023]) ).
fof(f1091,plain,
( spl130_16
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_16])]) ).
fof(f349,plain,
( sP28
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1089,plain,
( ~ spl130_5
| spl130_15 ),
inference(avatar_split_clause,[],[f272,f1086,f1035]) ).
fof(f272,plain,
( sP101
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1084,plain,
( ~ spl130_5
| spl130_14 ),
inference(avatar_split_clause,[],[f271,f1081,f1035]) ).
fof(f271,plain,
( sP100
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1079,plain,
( ~ spl130_4
| spl130_13 ),
inference(avatar_split_clause,[],[f298,f1076,f1031]) ).
fof(f298,plain,
( sP77
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1074,plain,
( ~ spl130_3
| spl130_12 ),
inference(avatar_split_clause,[],[f321,f1071,f1027]) ).
fof(f1071,plain,
( spl130_12
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_12])]) ).
fof(f321,plain,
( sP50
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1069,plain,
( ~ spl130_2
| spl130_11 ),
inference(avatar_split_clause,[],[f348,f1066,f1023]) ).
fof(f1066,plain,
( spl130_11
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_11])]) ).
fof(f348,plain,
( sP27
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1063,plain,
( ~ spl130_1
| spl130_10 ),
inference(avatar_split_clause,[],[f371,f1060,f1019]) ).
fof(f371,plain,
( sP0
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1058,plain,
( ~ spl130_4
| spl130_9 ),
inference(avatar_split_clause,[],[f297,f1055,f1031]) ).
fof(f297,plain,
( sP76
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1053,plain,
( ~ spl130_4
| spl130_8 ),
inference(avatar_split_clause,[],[f296,f1050,f1031]) ).
fof(f1050,plain,
( spl130_8
<=> sP75 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_8])]) ).
fof(f296,plain,
( sP75
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f1048,plain,
( ~ spl130_2
| spl130_7 ),
inference(avatar_split_clause,[],[f347,f1045,f1023]) ).
fof(f1045,plain,
( spl130_7
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_7])]) ).
fof(f347,plain,
( sP26
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1043,plain,
( ~ spl130_2
| spl130_6 ),
inference(avatar_split_clause,[],[f346,f1040,f1023]) ).
fof(f1040,plain,
( spl130_6
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_6])]) ).
fof(f346,plain,
( sP25
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1038,plain,
( spl130_1
| spl130_2
| spl130_3
| spl130_4
| spl130_5 ),
inference(avatar_split_clause,[],[f671,f1035,f1031,f1027,f1023,f1019]) ).
fof(f671,plain,
( sP129
| sP128
| sP127
| sP126
| sP125 ),
inference(cnf_transformation,[],[f140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG066+1 : TPTP v8.2.0. Released v2.7.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat May 18 22:40:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (1896)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (1901)WARNING: value z3 for option sas not known
% 0.14/0.39 % (1902)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (1901)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)
% 0.14/0.39 % (1903)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)
% 0.14/0.39 % (1900)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (1904)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)
% 0.14/0.39 % (1899)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (1905)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)
% 0.14/0.42 Detected minimum model sizes of [5]
% 0.14/0.42 Detected maximum model sizes of [max]
% 0.14/0.42 TRYING [5]
% 0.21/0.45 TRYING [6]
% 0.21/0.49 TRYING [7]
% 0.21/0.52 TRYING [8]
% 0.21/0.55 TRYING [9]
% 1.61/0.59 TRYING [10]
% 1.97/0.64 TRYING [11]
% 2.11/0.70 TRYING [12]
% 2.87/0.77 TRYING [13]
% 2.87/0.77 % (1903)First to succeed.
% 2.87/0.79 % (1903)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1896"
% 2.87/0.79 % (1903)Refutation found. Thanks to Tanya!
% 2.87/0.79 % SZS status Theorem for theBenchmark
% 2.87/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 2.87/0.81 % (1903)------------------------------
% 2.87/0.81 % (1903)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.87/0.81 % (1903)Termination reason: Refutation
% 2.87/0.81
% 2.87/0.81 % (1903)Memory used [KB]: 6191
% 2.87/0.81 % (1903)Time elapsed: 0.397 s
% 2.87/0.81 % (1903)Instructions burned: 1372 (million)
% 2.87/0.81 % (1896)Success in time 0.431 s
%------------------------------------------------------------------------------