TSTP Solution File: NUM378+1.015.020 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM378+1.015.020 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 17:59:06 EDT 2022

% Result   : Unsatisfiable 33.81s 4.93s
% Output   : Refutation 33.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  142
%            Number of leaves      :  705
% Syntax   : Number of formulae    : 3936 (1057 unt;   0 def)
%            Number of atoms       : 52745 (4421 equ)
%            Maximal formula atoms :  564 (  13 avg)
%            Number of connectives : 96217 (47408   ~;47045   |;1060   &)
%                                         ( 704 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  654 (  14 avg)
%            Maximal term depth    :   17 (   5 avg)
%            Number of predicates  :  706 ( 704 usr; 705 prp; 0-2 aty)
%            Number of functors    :  141 ( 141 usr; 138 con; 0-2 aty)
%            Number of variables   :  244 (   0   !; 244   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5080,plain,
    $false,
    inference(avatar_smt_refutation,[],[f537,f541,f545,f549,f553,f557,f561,f565,f569,f573,f577,f581,f585,f589,f593,f597,f601,f605,f609,f613,f617,f621,f625,f629,f633,f637,f641,f645,f649,f653,f657,f661,f665,f669,f673,f677,f681,f685,f689,f693,f697,f701,f705,f709,f713,f717,f721,f725,f729,f733,f737,f741,f745,f749,f753,f757,f761,f765,f769,f773,f777,f781,f785,f789,f793,f797,f801,f805,f809,f813,f817,f821,f825,f829,f833,f837,f841,f845,f849,f853,f857,f861,f865,f869,f873,f877,f881,f885,f889,f893,f897,f901,f905,f909,f913,f917,f921,f925,f929,f933,f937,f941,f945,f949,f953,f957,f961,f965,f969,f973,f977,f981,f985,f989,f993,f997,f1001,f1005,f1009,f1013,f1017,f1021,f1025,f1029,f1033,f1037,f1041,f1045,f1049,f1053,f1057,f1061,f1065,f1069,f1073,f1077,f1081,f1085,f1089,f1093,f1097,f1101,f1105,f1109,f1113,f1117,f1121,f1125,f1129,f1133,f1137,f1141,f1145,f1149,f1153,f1157,f1161,f1165,f1169,f1173,f1177,f1181,f1185,f1189,f1193,f1197,f1201,f1205,f1209,f1213,f1217,f1221,f1225,f1229,f1233,f1237,f1241,f1245,f1249,f1253,f1257,f1261,f1265,f1269,f1273,f1277,f1281,f1285,f1289,f1293,f1297,f1301,f1305,f1309,f1313,f1317,f1321,f1325,f1329,f1333,f1337,f1341,f1345,f1349,f1353,f1357,f1361,f1365,f1369,f1373,f1377,f1381,f1385,f1389,f1393,f1397,f1401,f1405,f1409,f1413,f1417,f1421,f1425,f1429,f1433,f1437,f1441,f1445,f1449,f1453,f1457,f1461,f1465,f1469,f1473,f1477,f1481,f1485,f1489,f1493,f1497,f1501,f1505,f1509,f1513,f1517,f1521,f1525,f1529,f1533,f1537,f1541,f1545,f1549,f1553,f1557,f1561,f1565,f1569,f1573,f1577,f1581,f1585,f1589,f1593,f1597,f1601,f1605,f1609,f1613,f1617,f1621,f1625,f1629,f1633,f1637,f1641,f1645,f1649,f1653,f1657,f1661,f1665,f1669,f1673,f1677,f1681,f1685,f1689,f1693,f1697,f1701,f1705,f1709,f1713,f1717,f1721,f1725,f1729,f1733,f1737,f1741,f1745,f1749,f1753,f1757,f1761,f1765,f1769,f1773,f1777,f1781,f1785,f1789,f1793,f1797,f1801,f1805,f1809,f1813,f1817,f1821,f1825,f1829,f1833,f1837,f1841,f1845,f1849,f1853,f1857,f1861,f1865,f1869,f1873,f1877,f1881,f1885,f1889,f1893,f1897,f1901,f1905,f1909,f1913,f1917,f1921,f1925,f1929,f1933,f1937,f1941,f1945,f1949,f1953,f1957,f1961,f1965,f1969,f1973,f1977,f1981,f1985,f1989,f1993,f1997,f2001,f2005,f2009,f2013,f2017,f2021,f2025,f2029,f2033,f2037,f2041,f2045,f2049,f2053,f2057,f2061,f2065,f2069,f2073,f2077,f2081,f2085,f2089,f2093,f2097,f2101,f2105,f2109,f2113,f2117,f2121,f2125,f2129,f2133,f2137,f2141,f2145,f2149,f2153,f2157,f2161,f2165,f2178,f2182,f2186,f2190,f2194,f2198,f2202,f2206,f2210,f2214,f2218,f2222,f2226,f2230,f2234,f2238,f2242,f2246,f2250,f2254,f2258,f2262,f2266,f2270,f2274,f2278,f2282,f2286,f2290,f2294,f2298,f2302,f2306,f2310,f2314,f2318,f2322,f2326,f2330,f2334,f2338,f2342,f2346,f2350,f2354,f2358,f2362,f2366,f2370,f2374,f2378,f2382,f2386,f2390,f2394,f2398,f2402,f2406,f2410,f2414,f2418,f2422,f2426,f2430,f2434,f2438,f2442,f2446,f2450,f2454,f2458,f2462,f2466,f2470,f2474,f2478,f2482,f2486,f2490,f2494,f2498,f2502,f2506,f2510,f2514,f2518,f2522,f2526,f2530,f2534,f2538,f2542,f2546,f2550,f2554,f2558,f2562,f2566,f2570,f2574,f2578,f2582,f2586,f2590,f2594,f2598,f2602,f2606,f2610,f2614,f2618,f2622,f2626,f2630,f2634,f2638,f2642,f2646,f2650,f2654,f2658,f2707,f2793,f2832,f2837,f2841,f2845,f2858,f2897,f2902,f2906,f2921,f2957,f2961,f2978,f3017,f3022,f3033,f3069,f3073,f3086,f3125,f3130,f3134,f3149,f3185,f3189,f3195,f3215,f3255,f3292,f3297,f3301,f3305,f3318,f3357,f3362,f3366,f3382,f3426,f3464,f3468,f3473,f3478,f3482,f3497,f3533,f3537,f3541,f3554,f3593,f3598,f3602,f3606,f3622,f3663,f3670,f3708,f3713,f3718,f3722,f3726,f3744,f3785,f3792,f3830,f3835,f3840,f3853,f3889,f3893,f3906,f3945,f3950,f3954,f3969,f4011,f4015,f4022,f4061,f4066,f4070,f4086,f4130,f4168,f4172,f4177,f4182,f4186,f4202,f4246,f4284,f4288,f4293,f4298,f4302,f4318,f4362,f4400,f4404,f4409,f4414,f4418,f4433,f4469,f4473,f4489,f4528,f4533,f4537,f4541,f4553,f4589,f4593,f4615,f4655,f4692,f4697,f4701,f4705,f4718,f4757,f4762,f4766,f4781,f4817,f4821,f4837,f4876,f4887,f4893,f4929,f4933,f4946,f4985,f4990,f4994,f5009,f5045,f5049,f5055,f5066,f5077,f5079]) ).

fof(f5079,plain,
    ( ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_700
    | ~ spl122_701
    | ~ spl122_702
    | spl122_704 ),
    inference(avatar_contradiction_clause,[],[f5078]) ).

fof(f5078,plain,
    ( $false
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_700
    | ~ spl122_701
    | ~ spl122_702
    | spl122_704 ),
    inference(subsumption_resolution,[],[f5073,f5076]) ).

fof(f5076,plain,
    ( n0 != sK77
    | spl122_704 ),
    inference(avatar_component_clause,[],[f5075]) ).

fof(f5075,plain,
    ( spl122_704
  <=> n0 = sK77 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_704])]) ).

fof(f5073,plain,
    ( n0 = sK77
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_700
    | ~ spl122_701
    | ~ spl122_702 ),
    inference(forward_demodulation,[],[f5072,f1264]) ).

fof(f1264,plain,
    ( n0 = sum(n15,n1)
    | ~ spl122_183 ),
    inference(avatar_component_clause,[],[f1263]) ).

fof(f1263,plain,
    ( spl122_183
  <=> n0 = sum(n15,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_183])]) ).

fof(f5072,plain,
    ( sum(n15,n1) = sK77
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_700
    | ~ spl122_701
    | ~ spl122_702 ),
    inference(forward_demodulation,[],[f5071,f1424]) ).

fof(f1424,plain,
    ( n1 = sum(n1,n0)
    | ~ spl122_223 ),
    inference(avatar_component_clause,[],[f1423]) ).

fof(f1423,plain,
    ( spl122_223
  <=> n1 = sum(n1,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_223])]) ).

fof(f5071,plain,
    ( sK77 = sum(n15,sum(n1,n0))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_700
    | ~ spl122_701
    | ~ spl122_702 ),
    inference(forward_demodulation,[],[f5070,f1264]) ).

fof(f5070,plain,
    ( sum(n15,sum(n1,sum(n15,n1))) = sK77
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_700
    | ~ spl122_701
    | ~ spl122_702 ),
    inference(forward_demodulation,[],[f5069,f1132]) ).

fof(f1132,plain,
    ( n15 = pred(n0)
    | ~ spl122_150 ),
    inference(avatar_component_clause,[],[f1131]) ).

fof(f1131,plain,
    ( spl122_150
  <=> n15 = pred(n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_150])]) ).

fof(f5069,plain,
    ( sK77 = sum(n15,sum(n1,sum(pred(n0),n1)))
    | ~ spl122_139
    | ~ spl122_700
    | ~ spl122_701
    | ~ spl122_702 ),
    inference(forward_demodulation,[],[f5068,f5044]) ).

fof(f5044,plain,
    ( n0 = sK83
    | ~ spl122_700 ),
    inference(avatar_component_clause,[],[f5043]) ).

fof(f5043,plain,
    ( spl122_700
  <=> n0 = sK83 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_700])]) ).

fof(f5068,plain,
    ( sum(n15,sum(n1,sum(pred(sK83),n1))) = sK77
    | ~ spl122_139
    | ~ spl122_701
    | ~ spl122_702 ),
    inference(forward_demodulation,[],[f5067,f1088]) ).

fof(f1088,plain,
    ( succ(n0) = n1
    | ~ spl122_139 ),
    inference(avatar_component_clause,[],[f1087]) ).

fof(f1087,plain,
    ( spl122_139
  <=> succ(n0) = n1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_139])]) ).

fof(f5067,plain,
    ( sum(n15,sum(n1,sum(pred(sK83),succ(n0)))) = sK77
    | ~ spl122_701
    | ~ spl122_702 ),
    inference(forward_demodulation,[],[f5054,f5048]) ).

fof(f5048,plain,
    ( n0 = sK100
    | ~ spl122_701 ),
    inference(avatar_component_clause,[],[f5047]) ).

fof(f5047,plain,
    ( spl122_701
  <=> n0 = sK100 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_701])]) ).

fof(f5054,plain,
    ( sK77 = sum(n15,sum(n1,sum(pred(sK83),succ(sK100))))
    | ~ spl122_702 ),
    inference(avatar_component_clause,[],[f5053]) ).

fof(f5053,plain,
    ( spl122_702
  <=> sK77 = sum(n15,sum(n1,sum(pred(sK83),succ(sK100)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_702])]) ).

fof(f5077,plain,
    ( ~ spl122_704
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | spl122_409
    | ~ spl122_698
    | ~ spl122_699 ),
    inference(avatar_split_clause,[],[f5062,f5007,f4992,f2167,f1827,f1263,f1131,f1087,f5075]) ).

fof(f1827,plain,
    ( spl122_324
  <=> n0 = sum(n0,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_324])]) ).

fof(f2167,plain,
    ( spl122_409
  <=> sK77 = sK17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_409])]) ).

fof(f4992,plain,
    ( spl122_698
  <=> sum(sum(n15,succ(sK37)),sum(pred(sK37),n1)) = sK17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_698])]) ).

fof(f5007,plain,
    ( spl122_699
  <=> n0 = sK37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_699])]) ).

fof(f5062,plain,
    ( n0 != sK77
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | spl122_409
    | ~ spl122_698
    | ~ spl122_699 ),
    inference(backward_demodulation,[],[f2168,f5061]) ).

fof(f5061,plain,
    ( n0 = sK17
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_698
    | ~ spl122_699 ),
    inference(forward_demodulation,[],[f5060,f1828]) ).

fof(f1828,plain,
    ( n0 = sum(n0,n0)
    | ~ spl122_324 ),
    inference(avatar_component_clause,[],[f1827]) ).

fof(f5060,plain,
    ( sum(n0,n0) = sK17
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_698
    | ~ spl122_699 ),
    inference(forward_demodulation,[],[f5059,f1264]) ).

fof(f5059,plain,
    ( sum(sum(n15,n1),n0) = sK17
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_698
    | ~ spl122_699 ),
    inference(forward_demodulation,[],[f5058,f1088]) ).

fof(f5058,plain,
    ( sum(sum(n15,succ(n0)),n0) = sK17
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_698
    | ~ spl122_699 ),
    inference(forward_demodulation,[],[f5057,f1264]) ).

fof(f5057,plain,
    ( sum(sum(n15,succ(n0)),sum(n15,n1)) = sK17
    | ~ spl122_150
    | ~ spl122_698
    | ~ spl122_699 ),
    inference(forward_demodulation,[],[f5056,f1132]) ).

fof(f5056,plain,
    ( sum(sum(n15,succ(n0)),sum(pred(n0),n1)) = sK17
    | ~ spl122_698
    | ~ spl122_699 ),
    inference(forward_demodulation,[],[f4993,f5008]) ).

fof(f5008,plain,
    ( n0 = sK37
    | ~ spl122_699 ),
    inference(avatar_component_clause,[],[f5007]) ).

fof(f4993,plain,
    ( sum(sum(n15,succ(sK37)),sum(pred(sK37),n1)) = sK17
    | ~ spl122_698 ),
    inference(avatar_component_clause,[],[f4992]) ).

fof(f2168,plain,
    ( sK77 != sK17
    | spl122_409 ),
    inference(avatar_component_clause,[],[f2167]) ).

fof(f5066,plain,
    ( spl122_703
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_698
    | ~ spl122_699 ),
    inference(avatar_split_clause,[],[f5061,f5007,f4992,f1827,f1263,f1131,f1087,f5064]) ).

fof(f5064,plain,
    ( spl122_703
  <=> n0 = sK17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_703])]) ).

fof(f5055,plain,
    ( spl122_702
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_439
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692
    | ~ spl122_697 ),
    inference(avatar_split_clause,[],[f5051,f4988,f4891,f4819,f4815,f4760,f4653,f4551,f4535,f2460,f2348,f2284,f2268,f2248,f2208,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f5053]) ).

fof(f1015,plain,
    ( spl122_121
  <=> n0 = succ(n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_121])]) ).

fof(f1023,plain,
    ( spl122_123
  <=> succ(n11) = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_123])]) ).

fof(f1035,plain,
    ( spl122_126
  <=> succ(n2) = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_126])]) ).

fof(f1039,plain,
    ( spl122_127
  <=> succ(n9) = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_127])]) ).

fof(f1043,plain,
    ( spl122_128
  <=> succ(n12) = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_128])]) ).

fof(f1051,plain,
    ( spl122_130
  <=> succ(n3) = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_130])]) ).

fof(f1059,plain,
    ( spl122_132
  <=> succ(n7) = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_132])]) ).

fof(f1071,plain,
    ( spl122_135
  <=> succ(n14) = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_135])]) ).

fof(f1091,plain,
    ( spl122_140
  <=> succ(n4) = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_140])]) ).

fof(f1111,plain,
    ( spl122_145
  <=> succ(n10) = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_145])]) ).

fof(f1115,plain,
    ( spl122_146
  <=> succ(n13) = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_146])]) ).

fof(f1123,plain,
    ( spl122_148
  <=> succ(n8) = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_148])]) ).

fof(f1127,plain,
    ( spl122_149
  <=> succ(n6) = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_149])]) ).

fof(f1135,plain,
    ( spl122_151
  <=> succ(n5) = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_151])]) ).

fof(f1139,plain,
    ( spl122_152
  <=> succ(n1) = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_152])]) ).

fof(f2208,plain,
    ( spl122_420
  <=> sum(pred(sK108),sum(succ(sK111),sum(pred(sK43),succ(sK62)))) = sK31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_420])]) ).

fof(f2248,plain,
    ( spl122_430
  <=> sK99 = sum(sum(pred(sK60),succ(sK55)),sum(pred(sK55),succ(sK60))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_430])]) ).

fof(f2268,plain,
    ( spl122_435
  <=> sum(sum(pred(sK48),succ(sK31)),sum(pred(sK31),succ(sK48))) = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_435])]) ).

fof(f2284,plain,
    ( spl122_439
  <=> sum(pred(sK2),sum(succ(sK34),sum(pred(sK83),succ(sK100)))) = sK77 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_439])]) ).

fof(f2348,plain,
    ( spl122_455
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6)))))))))))))))) = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_455])]) ).

fof(f2460,plain,
    ( spl122_483
  <=> sK108 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK99)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_483])]) ).

fof(f4535,plain,
    ( spl122_671
  <=> sK60 = sum(sum(pred(sK16),n1),sum(n15,succ(sK16))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_671])]) ).

fof(f4551,plain,
    ( spl122_673
  <=> n0 = sK16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_673])]) ).

fof(f4653,plain,
    ( spl122_677
  <=> n0 = sK55 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_677])]) ).

fof(f4760,plain,
    ( spl122_684
  <=> n0 = sK111 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_684])]) ).

fof(f4815,plain,
    ( spl122_687
  <=> n0 = sK43 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_687])]) ).

fof(f4819,plain,
    ( spl122_688
  <=> n0 = sK62 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_688])]) ).

fof(f4891,plain,
    ( spl122_692
  <=> n0 = sK48 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_692])]) ).

fof(f4988,plain,
    ( spl122_697
  <=> n0 = sK34 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_697])]) ).

fof(f5051,plain,
    ( sK77 = sum(n15,sum(n1,sum(pred(sK83),succ(sK100))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_439
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692
    | ~ spl122_697 ),
    inference(forward_demodulation,[],[f5050,f1088]) ).

fof(f5050,plain,
    ( sK77 = sum(n15,sum(succ(n0),sum(pred(sK83),succ(sK100))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_439
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692
    | ~ spl122_697 ),
    inference(forward_demodulation,[],[f4986,f4989]) ).

fof(f4989,plain,
    ( n0 = sK34
    | ~ spl122_697 ),
    inference(avatar_component_clause,[],[f4988]) ).

fof(f4986,plain,
    ( sK77 = sum(n15,sum(succ(sK34),sum(pred(sK83),succ(sK100))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_439
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4981,f1132]) ).

fof(f4981,plain,
    ( sum(pred(n0),sum(succ(sK34),sum(pred(sK83),succ(sK100)))) = sK77
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_439
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(backward_demodulation,[],[f2285,f4962]) ).

fof(f4962,plain,
    ( n0 = sK2
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4961,f1016]) ).

fof(f1016,plain,
    ( n0 = succ(n15)
    | ~ spl122_121 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f4961,plain,
    ( succ(n15) = sK2
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4960,f1072]) ).

fof(f1072,plain,
    ( succ(n14) = n15
    | ~ spl122_135 ),
    inference(avatar_component_clause,[],[f1071]) ).

fof(f4960,plain,
    ( sK2 = succ(succ(n14))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4959,f1116]) ).

fof(f1116,plain,
    ( succ(n13) = n14
    | ~ spl122_146 ),
    inference(avatar_component_clause,[],[f1115]) ).

fof(f4959,plain,
    ( succ(succ(succ(n13))) = sK2
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4958,f1044]) ).

fof(f1044,plain,
    ( succ(n12) = n13
    | ~ spl122_128 ),
    inference(avatar_component_clause,[],[f1043]) ).

fof(f4958,plain,
    ( succ(succ(succ(succ(n12)))) = sK2
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4957,f1024]) ).

fof(f1024,plain,
    ( succ(n11) = n12
    | ~ spl122_123 ),
    inference(avatar_component_clause,[],[f1023]) ).

fof(f4957,plain,
    ( sK2 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4956,f1112]) ).

fof(f1112,plain,
    ( succ(n10) = n11
    | ~ spl122_145 ),
    inference(avatar_component_clause,[],[f1111]) ).

fof(f4956,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK2
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4955,f1040]) ).

fof(f1040,plain,
    ( succ(n9) = n10
    | ~ spl122_127 ),
    inference(avatar_component_clause,[],[f1039]) ).

fof(f4955,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n9))))))) = sK2
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4954,f1124]) ).

fof(f1124,plain,
    ( succ(n8) = n9
    | ~ spl122_148 ),
    inference(avatar_component_clause,[],[f1123]) ).

fof(f4954,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(n8)))))))) = sK2
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4953,f1060]) ).

fof(f1060,plain,
    ( succ(n7) = n8
    | ~ spl122_132 ),
    inference(avatar_component_clause,[],[f1059]) ).

fof(f4953,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n7))))))))) = sK2
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4952,f1128]) ).

fof(f1128,plain,
    ( succ(n6) = n7
    | ~ spl122_149 ),
    inference(avatar_component_clause,[],[f1127]) ).

fof(f4952,plain,
    ( sK2 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4951,f1136]) ).

fof(f1136,plain,
    ( succ(n5) = n6
    | ~ spl122_151 ),
    inference(avatar_component_clause,[],[f1135]) ).

fof(f4951,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5))))))))))) = sK2
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4950,f1092]) ).

fof(f1092,plain,
    ( succ(n4) = n5
    | ~ spl122_140 ),
    inference(avatar_component_clause,[],[f1091]) ).

fof(f4950,plain,
    ( sK2 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4949,f1052]) ).

fof(f1052,plain,
    ( succ(n3) = n4
    | ~ spl122_130 ),
    inference(avatar_component_clause,[],[f1051]) ).

fof(f4949,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK2
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4948,f1036]) ).

fof(f1036,plain,
    ( succ(n2) = n3
    | ~ spl122_126 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f4948,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2)))))))))))))) = sK2
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4947,f1140]) ).

fof(f1140,plain,
    ( succ(n1) = n2
    | ~ spl122_152 ),
    inference(avatar_component_clause,[],[f1139]) ).

fof(f4947,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1))))))))))))))) = sK2
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4941,f1088]) ).

fof(f4941,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))))))))))) = sK2
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(backward_demodulation,[],[f2349,f4939]) ).

fof(f4939,plain,
    ( n0 = sK6
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4938,f1828]) ).

fof(f4938,plain,
    ( sum(n0,n0) = sK6
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4937,f1264]) ).

fof(f4937,plain,
    ( sum(sum(n15,n1),n0) = sK6
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4936,f1132]) ).

fof(f4936,plain,
    ( sum(sum(pred(n0),n1),n0) = sK6
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4935,f1264]) ).

fof(f4935,plain,
    ( sum(sum(pred(n0),n1),sum(n15,n1)) = sK6
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4934,f1088]) ).

fof(f4934,plain,
    ( sum(sum(pred(n0),n1),sum(n15,succ(n0))) = sK6
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4839,f4892]) ).

fof(f4892,plain,
    ( n0 = sK48
    | ~ spl122_692 ),
    inference(avatar_component_clause,[],[f4891]) ).

fof(f4839,plain,
    ( sK6 = sum(sum(pred(sK48),n1),sum(n15,succ(sK48)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4838,f1088]) ).

fof(f4838,plain,
    ( sum(sum(pred(sK48),succ(n0)),sum(n15,succ(sK48))) = sK6
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4833,f1132]) ).

fof(f4833,plain,
    ( sK6 = sum(sum(pred(sK48),succ(n0)),sum(pred(n0),succ(sK48)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(backward_demodulation,[],[f2269,f4830]) ).

fof(f4830,plain,
    ( n0 = sK31
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4829,f1264]) ).

fof(f4829,plain,
    ( sum(n15,n1) = sK31
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4828,f1424]) ).

fof(f4828,plain,
    ( sK31 = sum(n15,sum(n1,n0))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4827,f1264]) ).

fof(f4827,plain,
    ( sum(n15,sum(n1,sum(n15,n1))) = sK31
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4826,f1088]) ).

fof(f4826,plain,
    ( sK31 = sum(n15,sum(n1,sum(n15,succ(n0))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4825,f4820]) ).

fof(f4820,plain,
    ( n0 = sK62
    | ~ spl122_688 ),
    inference(avatar_component_clause,[],[f4819]) ).

fof(f4825,plain,
    ( sum(n15,sum(n1,sum(n15,succ(sK62)))) = sK31
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687 ),
    inference(forward_demodulation,[],[f4824,f1132]) ).

fof(f4824,plain,
    ( sK31 = sum(n15,sum(n1,sum(pred(n0),succ(sK62))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687 ),
    inference(forward_demodulation,[],[f4823,f4816]) ).

fof(f4816,plain,
    ( n0 = sK43
    | ~ spl122_687 ),
    inference(avatar_component_clause,[],[f4815]) ).

fof(f4823,plain,
    ( sum(n15,sum(n1,sum(pred(sK43),succ(sK62)))) = sK31
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684 ),
    inference(forward_demodulation,[],[f4822,f1088]) ).

fof(f4822,plain,
    ( sum(n15,sum(succ(n0),sum(pred(sK43),succ(sK62)))) = sK31
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684 ),
    inference(forward_demodulation,[],[f4758,f4761]) ).

fof(f4761,plain,
    ( n0 = sK111
    | ~ spl122_684 ),
    inference(avatar_component_clause,[],[f4760]) ).

fof(f4758,plain,
    ( sum(n15,sum(succ(sK111),sum(pred(sK43),succ(sK62)))) = sK31
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4753,f1132]) ).

fof(f4753,plain,
    ( sK31 = sum(pred(n0),sum(succ(sK111),sum(pred(sK43),succ(sK62))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(backward_demodulation,[],[f2209,f4734]) ).

fof(f4734,plain,
    ( n0 = sK108
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4733,f1016]) ).

fof(f4733,plain,
    ( succ(n15) = sK108
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4732,f1072]) ).

fof(f4732,plain,
    ( sK108 = succ(succ(n14))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4731,f1116]) ).

fof(f4731,plain,
    ( sK108 = succ(succ(succ(n13)))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4730,f1044]) ).

fof(f4730,plain,
    ( sK108 = succ(succ(succ(succ(n12))))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4729,f1024]) ).

fof(f4729,plain,
    ( sK108 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4728,f1112]) ).

fof(f4728,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK108
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4727,f1040]) ).

fof(f4727,plain,
    ( sK108 = succ(succ(succ(succ(succ(succ(succ(n9)))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4726,f1124]) ).

fof(f4726,plain,
    ( sK108 = succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4725,f1060]) ).

fof(f4725,plain,
    ( sK108 = succ(succ(succ(succ(succ(succ(succ(succ(succ(n7)))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4724,f1128]) ).

fof(f4724,plain,
    ( sK108 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4723,f1136]) ).

fof(f4723,plain,
    ( sK108 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5)))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4722,f1092]) ).

fof(f4722,plain,
    ( sK108 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4721,f1052]) ).

fof(f4721,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK108
    | ~ spl122_126
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4720,f1036]) ).

fof(f4720,plain,
    ( sK108 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4719,f1140]) ).

fof(f4719,plain,
    ( sK108 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1)))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4713,f1088]) ).

fof(f4713,plain,
    ( sK108 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0))))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(backward_demodulation,[],[f2461,f4711]) ).

fof(f4711,plain,
    ( n0 = sK99
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4710,f1828]) ).

fof(f4710,plain,
    ( sum(n0,n0) = sK99
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4709,f1264]) ).

fof(f4709,plain,
    ( sK99 = sum(sum(n15,n1),n0)
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4708,f1088]) ).

fof(f4708,plain,
    ( sK99 = sum(sum(n15,succ(n0)),n0)
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4707,f1264]) ).

fof(f4707,plain,
    ( sK99 = sum(sum(n15,succ(n0)),sum(n15,n1))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4706,f1132]) ).

fof(f4706,plain,
    ( sK99 = sum(sum(n15,succ(n0)),sum(pred(n0),n1))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4617,f4654]) ).

fof(f4654,plain,
    ( n0 = sK55
    | ~ spl122_677 ),
    inference(avatar_component_clause,[],[f4653]) ).

fof(f4617,plain,
    ( sK99 = sum(sum(n15,succ(sK55)),sum(pred(sK55),n1))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4616,f1132]) ).

fof(f4616,plain,
    ( sK99 = sum(sum(pred(n0),succ(sK55)),sum(pred(sK55),n1))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4611,f1088]) ).

fof(f4611,plain,
    ( sum(sum(pred(n0),succ(sK55)),sum(pred(sK55),succ(n0))) = sK99
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(backward_demodulation,[],[f2249,f4599]) ).

fof(f4599,plain,
    ( n0 = sK60
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4598,f1828]) ).

fof(f4598,plain,
    ( sum(n0,n0) = sK60
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4597,f1264]) ).

fof(f4597,plain,
    ( sK60 = sum(sum(n15,n1),n0)
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4596,f1132]) ).

fof(f4596,plain,
    ( sK60 = sum(sum(pred(n0),n1),n0)
    | ~ spl122_139
    | ~ spl122_183
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4595,f1264]) ).

fof(f4595,plain,
    ( sK60 = sum(sum(pred(n0),n1),sum(n15,n1))
    | ~ spl122_139
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4594,f1088]) ).

fof(f4594,plain,
    ( sum(sum(pred(n0),n1),sum(n15,succ(n0))) = sK60
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4536,f4552]) ).

fof(f4552,plain,
    ( n0 = sK16
    | ~ spl122_673 ),
    inference(avatar_component_clause,[],[f4551]) ).

fof(f4536,plain,
    ( sK60 = sum(sum(pred(sK16),n1),sum(n15,succ(sK16)))
    | ~ spl122_671 ),
    inference(avatar_component_clause,[],[f4535]) ).

fof(f2249,plain,
    ( sK99 = sum(sum(pred(sK60),succ(sK55)),sum(pred(sK55),succ(sK60)))
    | ~ spl122_430 ),
    inference(avatar_component_clause,[],[f2248]) ).

fof(f2461,plain,
    ( sK108 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK99))))))))))))))))
    | ~ spl122_483 ),
    inference(avatar_component_clause,[],[f2460]) ).

fof(f2209,plain,
    ( sum(pred(sK108),sum(succ(sK111),sum(pred(sK43),succ(sK62)))) = sK31
    | ~ spl122_420 ),
    inference(avatar_component_clause,[],[f2208]) ).

fof(f2269,plain,
    ( sum(sum(pred(sK48),succ(sK31)),sum(pred(sK31),succ(sK48))) = sK6
    | ~ spl122_435 ),
    inference(avatar_component_clause,[],[f2268]) ).

fof(f2349,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6)))))))))))))))) = sK2
    | ~ spl122_455 ),
    inference(avatar_component_clause,[],[f2348]) ).

fof(f2285,plain,
    ( sum(pred(sK2),sum(succ(sK34),sum(pred(sK83),succ(sK100)))) = sK77
    | ~ spl122_439 ),
    inference(avatar_component_clause,[],[f2284]) ).

fof(f5049,plain,
    ( spl122_701
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_471
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(avatar_split_clause,[],[f5041,f4931,f4927,f4885,f4819,f4815,f4760,f4653,f4551,f4535,f2480,f2460,f2412,f2248,f2224,f2208,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f5047]) ).

fof(f1019,plain,
    ( spl122_122
  <=> n14 = pred(n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_122])]) ).

fof(f1027,plain,
    ( spl122_124
  <=> n4 = pred(n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_124])]) ).

fof(f1031,plain,
    ( spl122_125
  <=> n0 = pred(n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_125])]) ).

fof(f1047,plain,
    ( spl122_129
  <=> n6 = pred(n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_129])]) ).

fof(f1055,plain,
    ( spl122_131
  <=> n12 = pred(n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_131])]) ).

fof(f1063,plain,
    ( spl122_133
  <=> n2 = pred(n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_133])]) ).

fof(f1067,plain,
    ( spl122_134
  <=> n9 = pred(n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_134])]) ).

fof(f1075,plain,
    ( spl122_136
  <=> n10 = pred(n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_136])]) ).

fof(f1079,plain,
    ( spl122_137
  <=> n7 = pred(n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_137])]) ).

fof(f1083,plain,
    ( spl122_138
  <=> n13 = pred(n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_138])]) ).

fof(f1095,plain,
    ( spl122_141
  <=> n1 = pred(n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_141])]) ).

fof(f1099,plain,
    ( spl122_142
  <=> n5 = pred(n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_142])]) ).

fof(f1103,plain,
    ( spl122_143
  <=> n8 = pred(n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_143])]) ).

fof(f1107,plain,
    ( spl122_144
  <=> n3 = pred(n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_144])]) ).

fof(f1119,plain,
    ( spl122_147
  <=> n11 = pred(n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_147])]) ).

fof(f2224,plain,
    ( spl122_424
  <=> sum(pred(sK110),sum(succ(sK88),sum(pred(sK90),succ(sK42)))) = sK37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_424])]) ).

fof(f2412,plain,
    ( spl122_471
  <=> sK100 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK37)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_471])]) ).

fof(f2480,plain,
    ( spl122_488
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK31)))))))))))))))) = sK90 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_488])]) ).

fof(f4885,plain,
    ( spl122_691
  <=> n0 = sK42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_691])]) ).

fof(f4927,plain,
    ( spl122_693
  <=> n0 = sK110 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_693])]) ).

fof(f4931,plain,
    ( spl122_694
  <=> n0 = sK88 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_694])]) ).

fof(f5041,plain,
    ( n0 = sK100
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_471
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5040,f1032]) ).

fof(f1032,plain,
    ( n0 = pred(n1)
    | ~ spl122_125 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f5040,plain,
    ( pred(n1) = sK100
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_471
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5039,f1096]) ).

fof(f1096,plain,
    ( n1 = pred(n2)
    | ~ spl122_141 ),
    inference(avatar_component_clause,[],[f1095]) ).

fof(f5039,plain,
    ( sK100 = pred(pred(n2))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_471
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5038,f1064]) ).

fof(f1064,plain,
    ( n2 = pred(n3)
    | ~ spl122_133 ),
    inference(avatar_component_clause,[],[f1063]) ).

fof(f5038,plain,
    ( sK100 = pred(pred(pred(n3)))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_471
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5037,f1108]) ).

fof(f1108,plain,
    ( n3 = pred(n4)
    | ~ spl122_144 ),
    inference(avatar_component_clause,[],[f1107]) ).

fof(f5037,plain,
    ( pred(pred(pred(pred(n4)))) = sK100
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_471
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5036,f1028]) ).

fof(f1028,plain,
    ( n4 = pred(n5)
    | ~ spl122_124 ),
    inference(avatar_component_clause,[],[f1027]) ).

fof(f5036,plain,
    ( sK100 = pred(pred(pred(pred(pred(n5)))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_471
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5035,f1100]) ).

fof(f1100,plain,
    ( n5 = pred(n6)
    | ~ spl122_142 ),
    inference(avatar_component_clause,[],[f1099]) ).

fof(f5035,plain,
    ( sK100 = pred(pred(pred(pred(pred(pred(n6))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_471
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5034,f1048]) ).

fof(f1048,plain,
    ( n6 = pred(n7)
    | ~ spl122_129 ),
    inference(avatar_component_clause,[],[f1047]) ).

fof(f5034,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK100
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_471
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5033,f1080]) ).

fof(f1080,plain,
    ( n7 = pred(n8)
    | ~ spl122_137 ),
    inference(avatar_component_clause,[],[f1079]) ).

fof(f5033,plain,
    ( sK100 = pred(pred(pred(pred(pred(pred(pred(pred(n8))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_471
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5032,f1104]) ).

fof(f1104,plain,
    ( n8 = pred(n9)
    | ~ spl122_143 ),
    inference(avatar_component_clause,[],[f1103]) ).

fof(f5032,plain,
    ( sK100 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_471
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5031,f1068]) ).

fof(f1068,plain,
    ( n9 = pred(n10)
    | ~ spl122_134 ),
    inference(avatar_component_clause,[],[f1067]) ).

fof(f5031,plain,
    ( sK100 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_471
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5030,f1076]) ).

fof(f1076,plain,
    ( n10 = pred(n11)
    | ~ spl122_136 ),
    inference(avatar_component_clause,[],[f1075]) ).

fof(f5030,plain,
    ( sK100 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11)))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_471
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5029,f1120]) ).

fof(f1120,plain,
    ( n11 = pred(n12)
    | ~ spl122_147 ),
    inference(avatar_component_clause,[],[f1119]) ).

fof(f5029,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK100
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_471
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5028,f1056]) ).

fof(f1056,plain,
    ( n12 = pred(n13)
    | ~ spl122_131 ),
    inference(avatar_component_clause,[],[f1055]) ).

fof(f5028,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK100
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_471
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5027,f1084]) ).

fof(f1084,plain,
    ( n13 = pred(n14)
    | ~ spl122_138 ),
    inference(avatar_component_clause,[],[f1083]) ).

fof(f5027,plain,
    ( sK100 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14))))))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_471
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5026,f1020]) ).

fof(f1020,plain,
    ( n14 = pred(n15)
    | ~ spl122_122 ),
    inference(avatar_component_clause,[],[f1019]) ).

fof(f5026,plain,
    ( sK100 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_471
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5005,f1132]) ).

fof(f5005,plain,
    ( sK100 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_471
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(backward_demodulation,[],[f2413,f5003]) ).

fof(f5003,plain,
    ( n0 = sK37
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5002,f1264]) ).

fof(f5002,plain,
    ( sum(n15,n1) = sK37
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5001,f1132]) ).

fof(f5001,plain,
    ( sK37 = sum(pred(n0),n1)
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5000,f4928]) ).

fof(f4928,plain,
    ( n0 = sK110
    | ~ spl122_693 ),
    inference(avatar_component_clause,[],[f4927]) ).

fof(f5000,plain,
    ( sK37 = sum(pred(sK110),n1)
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f4999,f1424]) ).

fof(f4999,plain,
    ( sum(pred(sK110),sum(n1,n0)) = sK37
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f4998,f1088]) ).

fof(f4998,plain,
    ( sum(pred(sK110),sum(succ(n0),n0)) = sK37
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f4997,f4932]) ).

fof(f4932,plain,
    ( n0 = sK88
    | ~ spl122_694 ),
    inference(avatar_component_clause,[],[f4931]) ).

fof(f4997,plain,
    ( sum(pred(sK110),sum(succ(sK88),n0)) = sK37
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691 ),
    inference(forward_demodulation,[],[f4996,f1264]) ).

fof(f4996,plain,
    ( sum(pred(sK110),sum(succ(sK88),sum(n15,n1))) = sK37
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691 ),
    inference(forward_demodulation,[],[f4995,f1088]) ).

fof(f4995,plain,
    ( sum(pred(sK110),sum(succ(sK88),sum(n15,succ(n0)))) = sK37
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691 ),
    inference(forward_demodulation,[],[f4877,f4886]) ).

fof(f4886,plain,
    ( n0 = sK42
    | ~ spl122_691 ),
    inference(avatar_component_clause,[],[f4885]) ).

fof(f4877,plain,
    ( sum(pred(sK110),sum(succ(sK88),sum(n15,succ(sK42)))) = sK37
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4872,f1132]) ).

fof(f4872,plain,
    ( sum(pred(sK110),sum(succ(sK88),sum(pred(n0),succ(sK42)))) = sK37
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(backward_demodulation,[],[f2225,f4855]) ).

fof(f4855,plain,
    ( n0 = sK90
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4854,f1016]) ).

fof(f4854,plain,
    ( succ(n15) = sK90
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4853,f1072]) ).

fof(f4853,plain,
    ( succ(succ(n14)) = sK90
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4852,f1116]) ).

fof(f4852,plain,
    ( succ(succ(succ(n13))) = sK90
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4851,f1044]) ).

fof(f4851,plain,
    ( succ(succ(succ(succ(n12)))) = sK90
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4850,f1024]) ).

fof(f4850,plain,
    ( succ(succ(succ(succ(succ(n11))))) = sK90
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4849,f1112]) ).

fof(f4849,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK90
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4848,f1040]) ).

fof(f4848,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n9))))))) = sK90
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4847,f1124]) ).

fof(f4847,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(n8)))))))) = sK90
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4846,f1060]) ).

fof(f4846,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n7))))))))) = sK90
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4845,f1128]) ).

fof(f4845,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6)))))))))) = sK90
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4844,f1136]) ).

fof(f4844,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5))))))))))) = sK90
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4843,f1092]) ).

fof(f4843,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4)))))))))))) = sK90
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4842,f1052]) ).

fof(f4842,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK90
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4841,f1036]) ).

fof(f4841,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2)))))))))))))) = sK90
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4840,f1140]) ).

fof(f4840,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1))))))))))))))) = sK90
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4832,f1088]) ).

fof(f4832,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))))))))))) = sK90
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(backward_demodulation,[],[f2481,f4830]) ).

fof(f2481,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK31)))))))))))))))) = sK90
    | ~ spl122_488 ),
    inference(avatar_component_clause,[],[f2480]) ).

fof(f2225,plain,
    ( sum(pred(sK110),sum(succ(sK88),sum(pred(sK90),succ(sK42)))) = sK37
    | ~ spl122_424 ),
    inference(avatar_component_clause,[],[f2224]) ).

fof(f2413,plain,
    ( sK100 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK37))))))))))))))))
    | ~ spl122_471 ),
    inference(avatar_component_clause,[],[f2412]) ).

fof(f5045,plain,
    ( spl122_700
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_500
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(avatar_split_clause,[],[f5025,f4931,f4927,f4885,f4819,f4815,f4760,f4653,f4551,f4535,f2528,f2480,f2460,f2248,f2224,f2208,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f5043]) ).

fof(f2528,plain,
    ( spl122_500
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK37)))))))))))))))) = sK83 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_500])]) ).

fof(f5025,plain,
    ( n0 = sK83
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_500
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5024,f1016]) ).

fof(f5024,plain,
    ( succ(n15) = sK83
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_500
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5023,f1072]) ).

fof(f5023,plain,
    ( succ(succ(n14)) = sK83
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_500
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5022,f1116]) ).

fof(f5022,plain,
    ( succ(succ(succ(n13))) = sK83
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_500
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5021,f1044]) ).

fof(f5021,plain,
    ( succ(succ(succ(succ(n12)))) = sK83
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_500
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5020,f1024]) ).

fof(f5020,plain,
    ( succ(succ(succ(succ(succ(n11))))) = sK83
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_500
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5019,f1112]) ).

fof(f5019,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK83
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_500
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5018,f1040]) ).

fof(f5018,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n9))))))) = sK83
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_500
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5017,f1124]) ).

fof(f5017,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(n8)))))))) = sK83
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_500
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5016,f1060]) ).

fof(f5016,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n7))))))))) = sK83
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_500
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5015,f1128]) ).

fof(f5015,plain,
    ( sK83 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_500
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5014,f1136]) ).

fof(f5014,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5))))))))))) = sK83
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_500
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5013,f1092]) ).

fof(f5013,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4)))))))))))) = sK83
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_500
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5012,f1052]) ).

fof(f5012,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK83
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_500
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5011,f1036]) ).

fof(f5011,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2)))))))))))))) = sK83
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_500
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5010,f1140]) ).

fof(f5010,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1))))))))))))))) = sK83
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_500
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(forward_demodulation,[],[f5004,f1088]) ).

fof(f5004,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))))))))))) = sK83
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_500
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(backward_demodulation,[],[f2529,f5003]) ).

fof(f2529,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK37)))))))))))))))) = sK83
    | ~ spl122_500 ),
    inference(avatar_component_clause,[],[f2528]) ).

fof(f5009,plain,
    ( spl122_699
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_424
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_691
    | ~ spl122_693
    | ~ spl122_694 ),
    inference(avatar_split_clause,[],[f5003,f4931,f4927,f4885,f4819,f4815,f4760,f4653,f4551,f4535,f2480,f2460,f2248,f2224,f2208,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f5007]) ).

fof(f4994,plain,
    ( spl122_698
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_445
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(avatar_split_clause,[],[f4964,f4891,f4819,f4815,f4760,f4653,f4551,f4535,f2460,f2308,f2268,f2248,f2208,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4992]) ).

fof(f2308,plain,
    ( spl122_445
  <=> sum(sum(pred(sK6),succ(sK37)),sum(pred(sK37),succ(sK6))) = sK17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_445])]) ).

fof(f4964,plain,
    ( sum(sum(n15,succ(sK37)),sum(pred(sK37),n1)) = sK17
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_445
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4963,f1132]) ).

fof(f4963,plain,
    ( sum(sum(pred(n0),succ(sK37)),sum(pred(sK37),n1)) = sK17
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_445
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4942,f1088]) ).

fof(f4942,plain,
    ( sum(sum(pred(n0),succ(sK37)),sum(pred(sK37),succ(n0))) = sK17
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_445
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(backward_demodulation,[],[f2309,f4939]) ).

fof(f2309,plain,
    ( sum(sum(pred(sK6),succ(sK37)),sum(pred(sK37),succ(sK6))) = sK17
    | ~ spl122_445 ),
    inference(avatar_component_clause,[],[f2308]) ).

fof(f4990,plain,
    ( spl122_697
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_466
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(avatar_split_clause,[],[f4980,f4891,f4819,f4815,f4760,f4653,f4551,f4535,f2460,f2392,f2268,f2248,f2208,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f4988]) ).

fof(f2392,plain,
    ( spl122_466
  <=> sK34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_466])]) ).

fof(f4980,plain,
    ( n0 = sK34
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_466
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4979,f1032]) ).

fof(f4979,plain,
    ( pred(n1) = sK34
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_466
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4978,f1096]) ).

fof(f4978,plain,
    ( sK34 = pred(pred(n2))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_466
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4977,f1064]) ).

fof(f4977,plain,
    ( sK34 = pred(pred(pred(n3)))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_466
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4976,f1108]) ).

fof(f4976,plain,
    ( pred(pred(pred(pred(n4)))) = sK34
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_466
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4975,f1028]) ).

fof(f4975,plain,
    ( sK34 = pred(pred(pred(pred(pred(n5)))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_466
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4974,f1100]) ).

fof(f4974,plain,
    ( sK34 = pred(pred(pred(pred(pred(pred(n6))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_466
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4973,f1048]) ).

fof(f4973,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK34
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_466
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4972,f1080]) ).

fof(f4972,plain,
    ( sK34 = pred(pred(pred(pred(pred(pred(pred(pred(n8))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_466
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4971,f1104]) ).

fof(f4971,plain,
    ( sK34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_466
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4970,f1068]) ).

fof(f4970,plain,
    ( sK34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_466
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4969,f1076]) ).

fof(f4969,plain,
    ( sK34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11)))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_466
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4968,f1120]) ).

fof(f4968,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK34
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_466
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4967,f1056]) ).

fof(f4967,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK34
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_466
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4966,f1084]) ).

fof(f4966,plain,
    ( sK34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14))))))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_466
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4965,f1020]) ).

fof(f4965,plain,
    ( sK34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_466
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(forward_demodulation,[],[f4940,f1132]) ).

fof(f4940,plain,
    ( sK34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_466
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(backward_demodulation,[],[f2393,f4939]) ).

fof(f2393,plain,
    ( sK34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6))))))))))))))))
    | ~ spl122_466 ),
    inference(avatar_component_clause,[],[f2392]) ).

fof(f4985,plain,
    ( spl122_696
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_455
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(avatar_split_clause,[],[f4962,f4891,f4819,f4815,f4760,f4653,f4551,f4535,f2460,f2348,f2268,f2248,f2208,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4983]) ).

fof(f4983,plain,
    ( spl122_696
  <=> n0 = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_696])]) ).

fof(f4946,plain,
    ( spl122_695
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_435
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688
    | ~ spl122_692 ),
    inference(avatar_split_clause,[],[f4939,f4891,f4819,f4815,f4760,f4653,f4551,f4535,f2460,f2268,f2248,f2208,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4944]) ).

fof(f4944,plain,
    ( spl122_695
  <=> n0 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_695])]) ).

fof(f4933,plain,
    ( spl122_694
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_495
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(avatar_split_clause,[],[f4925,f4779,f4764,f2508,f1827,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f4931]) ).

fof(f2508,plain,
    ( spl122_495
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK48)))))))))))))))) = sK88 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_495])]) ).

fof(f4764,plain,
    ( spl122_685
  <=> sK48 = sum(sum(n15,succ(sK14)),sum(pred(sK14),n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_685])]) ).

fof(f4779,plain,
    ( spl122_686
  <=> n0 = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_686])]) ).

fof(f4925,plain,
    ( n0 = sK88
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_495
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4924,f1032]) ).

fof(f4924,plain,
    ( pred(n1) = sK88
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_495
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4923,f1096]) ).

fof(f4923,plain,
    ( pred(pred(n2)) = sK88
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_495
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4922,f1064]) ).

fof(f4922,plain,
    ( pred(pred(pred(n3))) = sK88
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_495
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4921,f1108]) ).

fof(f4921,plain,
    ( pred(pred(pred(pred(n4)))) = sK88
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_495
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4920,f1028]) ).

fof(f4920,plain,
    ( pred(pred(pred(pred(pred(n5))))) = sK88
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_495
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4919,f1100]) ).

fof(f4919,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK88
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_495
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4918,f1048]) ).

fof(f4918,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK88
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_495
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4917,f1080]) ).

fof(f4917,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK88
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_495
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4916,f1104]) ).

fof(f4916,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(n9))))))))) = sK88
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_495
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4915,f1068]) ).

fof(f4915,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10)))))))))) = sK88
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_495
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4914,f1076]) ).

fof(f4914,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11))))))))))) = sK88
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_495
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4913,f1120]) ).

fof(f4913,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK88
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_495
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4912,f1056]) ).

fof(f4912,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK88
    | ~ spl122_122
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_495
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4911,f1084]) ).

fof(f4911,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK88
    | ~ spl122_122
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_495
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4910,f1020]) ).

fof(f4910,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15))))))))))))))) = sK88
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_495
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4888,f1132]) ).

fof(f4888,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0)))))))))))))))) = sK88
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_495
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(backward_demodulation,[],[f2509,f4883]) ).

fof(f4883,plain,
    ( n0 = sK48
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4882,f1828]) ).

fof(f4882,plain,
    ( sum(n0,n0) = sK48
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4881,f1264]) ).

fof(f4881,plain,
    ( sum(sum(n15,n1),n0) = sK48
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4880,f1088]) ).

fof(f4880,plain,
    ( sum(sum(n15,succ(n0)),n0) = sK48
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4879,f1264]) ).

fof(f4879,plain,
    ( sum(sum(n15,succ(n0)),sum(n15,n1)) = sK48
    | ~ spl122_150
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4878,f1132]) ).

fof(f4878,plain,
    ( sum(sum(n15,succ(n0)),sum(pred(n0),n1)) = sK48
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4765,f4780]) ).

fof(f4780,plain,
    ( n0 = sK14
    | ~ spl122_686 ),
    inference(avatar_component_clause,[],[f4779]) ).

fof(f4765,plain,
    ( sK48 = sum(sum(n15,succ(sK14)),sum(pred(sK14),n1))
    | ~ spl122_685 ),
    inference(avatar_component_clause,[],[f4764]) ).

fof(f2509,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK48)))))))))))))))) = sK88
    | ~ spl122_495 ),
    inference(avatar_component_clause,[],[f2508]) ).

fof(f4929,plain,
    ( spl122_693
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_461
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(avatar_split_clause,[],[f4909,f4779,f4764,f2372,f1827,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4927]) ).

fof(f2372,plain,
    ( spl122_461
  <=> sK110 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK48)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_461])]) ).

fof(f4909,plain,
    ( n0 = sK110
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_461
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4908,f1016]) ).

fof(f4908,plain,
    ( succ(n15) = sK110
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_461
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4907,f1072]) ).

fof(f4907,plain,
    ( sK110 = succ(succ(n14))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_461
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4906,f1116]) ).

fof(f4906,plain,
    ( sK110 = succ(succ(succ(n13)))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_461
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4905,f1044]) ).

fof(f4905,plain,
    ( sK110 = succ(succ(succ(succ(n12))))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_461
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4904,f1024]) ).

fof(f4904,plain,
    ( sK110 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_461
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4903,f1112]) ).

fof(f4903,plain,
    ( sK110 = succ(succ(succ(succ(succ(succ(n10))))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_461
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4902,f1040]) ).

fof(f4902,plain,
    ( sK110 = succ(succ(succ(succ(succ(succ(succ(n9)))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_461
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4901,f1124]) ).

fof(f4901,plain,
    ( sK110 = succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_461
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4900,f1060]) ).

fof(f4900,plain,
    ( sK110 = succ(succ(succ(succ(succ(succ(succ(succ(succ(n7)))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_461
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4899,f1128]) ).

fof(f4899,plain,
    ( sK110 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_461
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4898,f1136]) ).

fof(f4898,plain,
    ( sK110 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5)))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_461
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4897,f1092]) ).

fof(f4897,plain,
    ( sK110 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_461
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4896,f1052]) ).

fof(f4896,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK110
    | ~ spl122_126
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_461
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4895,f1036]) ).

fof(f4895,plain,
    ( sK110 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_461
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4894,f1140]) ).

fof(f4894,plain,
    ( sK110 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1)))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_461
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(forward_demodulation,[],[f4889,f1088]) ).

fof(f4889,plain,
    ( sK110 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0))))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_461
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(backward_demodulation,[],[f2373,f4883]) ).

fof(f2373,plain,
    ( sK110 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK48))))))))))))))))
    | ~ spl122_461 ),
    inference(avatar_component_clause,[],[f2372]) ).

fof(f4893,plain,
    ( spl122_692
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_685
    | ~ spl122_686 ),
    inference(avatar_split_clause,[],[f4883,f4779,f4764,f1827,f1263,f1131,f1087,f4891]) ).

fof(f4887,plain,
    ( spl122_691
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_523
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(avatar_split_clause,[],[f4871,f4819,f4815,f4760,f4653,f4551,f4535,f2620,f2460,f2248,f2208,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f4885]) ).

fof(f2620,plain,
    ( spl122_523
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK31)))))))))))))))) = sK42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_523])]) ).

fof(f4871,plain,
    ( n0 = sK42
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_523
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4870,f1032]) ).

fof(f4870,plain,
    ( pred(n1) = sK42
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_523
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4869,f1096]) ).

fof(f4869,plain,
    ( sK42 = pred(pred(n2))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_523
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4868,f1064]) ).

fof(f4868,plain,
    ( pred(pred(pred(n3))) = sK42
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_523
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4867,f1108]) ).

fof(f4867,plain,
    ( pred(pred(pred(pred(n4)))) = sK42
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_523
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4866,f1028]) ).

fof(f4866,plain,
    ( pred(pred(pred(pred(pred(n5))))) = sK42
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_523
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4865,f1100]) ).

fof(f4865,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK42
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_523
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4864,f1048]) ).

fof(f4864,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK42
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_523
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4863,f1080]) ).

fof(f4863,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK42
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_523
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4862,f1104]) ).

fof(f4862,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(n9))))))))) = sK42
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_523
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4861,f1068]) ).

fof(f4861,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10)))))))))) = sK42
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_523
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4860,f1076]) ).

fof(f4860,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11))))))))))) = sK42
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_523
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4859,f1120]) ).

fof(f4859,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK42
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_523
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4858,f1056]) ).

fof(f4858,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK42
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_523
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4857,f1084]) ).

fof(f4857,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK42
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_523
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4856,f1020]) ).

fof(f4856,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15))))))))))))))) = sK42
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_523
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(forward_demodulation,[],[f4831,f1132]) ).

fof(f4831,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0)))))))))))))))) = sK42
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_523
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(backward_demodulation,[],[f2621,f4830]) ).

fof(f2621,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK31)))))))))))))))) = sK42
    | ~ spl122_523 ),
    inference(avatar_component_clause,[],[f2620]) ).

fof(f4876,plain,
    ( spl122_690
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_488
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(avatar_split_clause,[],[f4855,f4819,f4815,f4760,f4653,f4551,f4535,f2480,f2460,f2248,f2208,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4874]) ).

fof(f4874,plain,
    ( spl122_690
  <=> n0 = sK90 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_690])]) ).

fof(f4837,plain,
    ( spl122_689
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_420
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677
    | ~ spl122_684
    | ~ spl122_687
    | ~ spl122_688 ),
    inference(avatar_split_clause,[],[f4830,f4819,f4815,f4760,f4653,f4551,f4535,f2460,f2248,f2208,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4835]) ).

fof(f4835,plain,
    ( spl122_689
  <=> n0 = sK31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_689])]) ).

fof(f4821,plain,
    ( spl122_688
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_497
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(avatar_split_clause,[],[f4813,f4703,f4699,f4695,f4551,f4535,f2572,f2516,f2316,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f4819]) ).

fof(f2316,plain,
    ( spl122_447
  <=> sum(pred(sK115),sum(succ(sK113),sum(pred(sK78),succ(sK40)))) = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_447])]) ).

fof(f2516,plain,
    ( spl122_497
  <=> sK62 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_497])]) ).

fof(f2572,plain,
    ( spl122_511
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK60)))))))))))))))) = sK115 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_511])]) ).

fof(f4695,plain,
    ( spl122_679
  <=> n0 = sK113 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_679])]) ).

fof(f4699,plain,
    ( spl122_680
  <=> n0 = sK78 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_680])]) ).

fof(f4703,plain,
    ( spl122_681
  <=> n0 = sK40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_681])]) ).

fof(f4813,plain,
    ( n0 = sK62
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_497
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4812,f1032]) ).

fof(f4812,plain,
    ( pred(n1) = sK62
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_497
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4811,f1096]) ).

fof(f4811,plain,
    ( sK62 = pred(pred(n2))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_497
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4810,f1064]) ).

fof(f4810,plain,
    ( sK62 = pred(pred(pred(n3)))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_497
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4809,f1108]) ).

fof(f4809,plain,
    ( pred(pred(pred(pred(n4)))) = sK62
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_497
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4808,f1028]) ).

fof(f4808,plain,
    ( sK62 = pred(pred(pred(pred(pred(n5)))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_497
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4807,f1100]) ).

fof(f4807,plain,
    ( sK62 = pred(pred(pred(pred(pred(pred(n6))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_497
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4806,f1048]) ).

fof(f4806,plain,
    ( sK62 = pred(pred(pred(pred(pred(pred(pred(n7)))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_497
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4805,f1080]) ).

fof(f4805,plain,
    ( sK62 = pred(pred(pred(pred(pred(pred(pred(pred(n8))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_497
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4804,f1104]) ).

fof(f4804,plain,
    ( sK62 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_497
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4803,f1068]) ).

fof(f4803,plain,
    ( sK62 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_497
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4802,f1076]) ).

fof(f4802,plain,
    ( sK62 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11)))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_497
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4801,f1120]) ).

fof(f4801,plain,
    ( sK62 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12))))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_497
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4800,f1056]) ).

fof(f4800,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK62
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_497
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4799,f1084]) ).

fof(f4799,plain,
    ( sK62 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14))))))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_497
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4798,f1020]) ).

fof(f4798,plain,
    ( sK62 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_497
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4776,f1132]) ).

fof(f4776,plain,
    ( sK62 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_497
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(backward_demodulation,[],[f2517,f4775]) ).

fof(f4775,plain,
    ( n0 = sK14
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4774,f1264]) ).

fof(f4774,plain,
    ( sum(n15,n1) = sK14
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4773,f1424]) ).

fof(f4773,plain,
    ( sum(n15,sum(n1,n0)) = sK14
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4772,f1088]) ).

fof(f4772,plain,
    ( sum(n15,sum(succ(n0),n0)) = sK14
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4771,f4696]) ).

fof(f4696,plain,
    ( n0 = sK113
    | ~ spl122_679 ),
    inference(avatar_component_clause,[],[f4695]) ).

fof(f4771,plain,
    ( sum(n15,sum(succ(sK113),n0)) = sK14
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4770,f1264]) ).

fof(f4770,plain,
    ( sum(n15,sum(succ(sK113),sum(n15,n1))) = sK14
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4769,f1132]) ).

fof(f4769,plain,
    ( sum(n15,sum(succ(sK113),sum(pred(n0),n1))) = sK14
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4768,f4700]) ).

fof(f4700,plain,
    ( n0 = sK78
    | ~ spl122_680 ),
    inference(avatar_component_clause,[],[f4699]) ).

fof(f4768,plain,
    ( sum(n15,sum(succ(sK113),sum(pred(sK78),n1))) = sK14
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4767,f1088]) ).

fof(f4767,plain,
    ( sum(n15,sum(succ(sK113),sum(pred(sK78),succ(n0)))) = sK14
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4693,f4704]) ).

fof(f4704,plain,
    ( n0 = sK40
    | ~ spl122_681 ),
    inference(avatar_component_clause,[],[f4703]) ).

fof(f4693,plain,
    ( sum(n15,sum(succ(sK113),sum(pred(sK78),succ(sK40)))) = sK14
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4688,f1132]) ).

fof(f4688,plain,
    ( sum(pred(n0),sum(succ(sK113),sum(pred(sK78),succ(sK40)))) = sK14
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(backward_demodulation,[],[f2317,f4633]) ).

fof(f4633,plain,
    ( n0 = sK115
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4632,f1016]) ).

fof(f4632,plain,
    ( succ(n15) = sK115
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4631,f1072]) ).

fof(f4631,plain,
    ( sK115 = succ(succ(n14))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4630,f1116]) ).

fof(f4630,plain,
    ( succ(succ(succ(n13))) = sK115
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4629,f1044]) ).

fof(f4629,plain,
    ( succ(succ(succ(succ(n12)))) = sK115
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4628,f1024]) ).

fof(f4628,plain,
    ( sK115 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4627,f1112]) ).

fof(f4627,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK115
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4626,f1040]) ).

fof(f4626,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n9))))))) = sK115
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4625,f1124]) ).

fof(f4625,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(n8)))))))) = sK115
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4624,f1060]) ).

fof(f4624,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n7))))))))) = sK115
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4623,f1128]) ).

fof(f4623,plain,
    ( sK115 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4622,f1136]) ).

fof(f4622,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5))))))))))) = sK115
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4621,f1092]) ).

fof(f4621,plain,
    ( sK115 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4620,f1052]) ).

fof(f4620,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK115
    | ~ spl122_126
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4619,f1036]) ).

fof(f4619,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2)))))))))))))) = sK115
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4618,f1140]) ).

fof(f4618,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1))))))))))))))) = sK115
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4609,f1088]) ).

fof(f4609,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))))))))))) = sK115
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(backward_demodulation,[],[f2573,f4599]) ).

fof(f2573,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK60)))))))))))))))) = sK115
    | ~ spl122_511 ),
    inference(avatar_component_clause,[],[f2572]) ).

fof(f2317,plain,
    ( sum(pred(sK115),sum(succ(sK113),sum(pred(sK78),succ(sK40)))) = sK14
    | ~ spl122_447 ),
    inference(avatar_component_clause,[],[f2316]) ).

fof(f2517,plain,
    ( sK62 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14))))))))))))))))
    | ~ spl122_497 ),
    inference(avatar_component_clause,[],[f2516]) ).

fof(f4817,plain,
    ( spl122_687
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_469
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(avatar_split_clause,[],[f4797,f4703,f4699,f4695,f4551,f4535,f2572,f2404,f2316,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4815]) ).

fof(f2404,plain,
    ( spl122_469
  <=> sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_469])]) ).

fof(f4797,plain,
    ( n0 = sK43
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_469
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4796,f1016]) ).

fof(f4796,plain,
    ( succ(n15) = sK43
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_469
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4795,f1072]) ).

fof(f4795,plain,
    ( sK43 = succ(succ(n14))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_469
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4794,f1116]) ).

fof(f4794,plain,
    ( sK43 = succ(succ(succ(n13)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_469
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4793,f1044]) ).

fof(f4793,plain,
    ( sK43 = succ(succ(succ(succ(n12))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_469
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4792,f1024]) ).

fof(f4792,plain,
    ( sK43 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_469
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4791,f1112]) ).

fof(f4791,plain,
    ( sK43 = succ(succ(succ(succ(succ(succ(n10))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_469
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4790,f1040]) ).

fof(f4790,plain,
    ( sK43 = succ(succ(succ(succ(succ(succ(succ(n9)))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_469
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4789,f1124]) ).

fof(f4789,plain,
    ( sK43 = succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_469
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4788,f1060]) ).

fof(f4788,plain,
    ( sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(n7)))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_469
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4787,f1128]) ).

fof(f4787,plain,
    ( sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_469
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4786,f1136]) ).

fof(f4786,plain,
    ( sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5)))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_469
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4785,f1092]) ).

fof(f4785,plain,
    ( sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_469
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4784,f1052]) ).

fof(f4784,plain,
    ( sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3)))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_469
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4783,f1036]) ).

fof(f4783,plain,
    ( sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_469
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4782,f1140]) ).

fof(f4782,plain,
    ( sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1)))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_469
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(forward_demodulation,[],[f4777,f1088]) ).

fof(f4777,plain,
    ( sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0))))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_469
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(backward_demodulation,[],[f2405,f4775]) ).

fof(f2405,plain,
    ( sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14))))))))))))))))
    | ~ spl122_469 ),
    inference(avatar_component_clause,[],[f2404]) ).

fof(f4781,plain,
    ( spl122_686
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_447
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_679
    | ~ spl122_680
    | ~ spl122_681 ),
    inference(avatar_split_clause,[],[f4775,f4703,f4699,f4695,f4551,f4535,f2572,f2316,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4779]) ).

fof(f4766,plain,
    ( spl122_685
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_434
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(avatar_split_clause,[],[f4736,f4653,f4551,f4535,f2264,f2248,f1827,f1263,f1131,f1087,f4764]) ).

fof(f2264,plain,
    ( spl122_434
  <=> sum(sum(pred(sK99),succ(sK14)),sum(pred(sK14),succ(sK99))) = sK48 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_434])]) ).

fof(f4736,plain,
    ( sK48 = sum(sum(n15,succ(sK14)),sum(pred(sK14),n1))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_434
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4735,f1132]) ).

fof(f4735,plain,
    ( sum(sum(pred(n0),succ(sK14)),sum(pred(sK14),n1)) = sK48
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_434
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4714,f1088]) ).

fof(f4714,plain,
    ( sum(sum(pred(n0),succ(sK14)),sum(pred(sK14),succ(n0))) = sK48
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_434
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(backward_demodulation,[],[f2265,f4711]) ).

fof(f2265,plain,
    ( sum(sum(pred(sK99),succ(sK14)),sum(pred(sK14),succ(sK99))) = sK48
    | ~ spl122_434 ),
    inference(avatar_component_clause,[],[f2264]) ).

fof(f4762,plain,
    ( spl122_684
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_524
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(avatar_split_clause,[],[f4752,f4653,f4551,f4535,f2624,f2248,f1827,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f4760]) ).

fof(f2624,plain,
    ( spl122_524
  <=> sK111 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK99)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_524])]) ).

fof(f4752,plain,
    ( n0 = sK111
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_524
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4751,f1032]) ).

fof(f4751,plain,
    ( pred(n1) = sK111
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_524
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4750,f1096]) ).

fof(f4750,plain,
    ( sK111 = pred(pred(n2))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_524
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4749,f1064]) ).

fof(f4749,plain,
    ( sK111 = pred(pred(pred(n3)))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_524
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4748,f1108]) ).

fof(f4748,plain,
    ( pred(pred(pred(pred(n4)))) = sK111
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_524
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4747,f1028]) ).

fof(f4747,plain,
    ( sK111 = pred(pred(pred(pred(pred(n5)))))
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_524
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4746,f1100]) ).

fof(f4746,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK111
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_524
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4745,f1048]) ).

fof(f4745,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK111
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_524
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4744,f1080]) ).

fof(f4744,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK111
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_524
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4743,f1104]) ).

fof(f4743,plain,
    ( sK111 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_524
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4742,f1068]) ).

fof(f4742,plain,
    ( sK111 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10))))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_524
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4741,f1076]) ).

fof(f4741,plain,
    ( sK111 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11)))))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_524
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4740,f1120]) ).

fof(f4740,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK111
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_524
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4739,f1056]) ).

fof(f4739,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK111
    | ~ spl122_122
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_524
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4738,f1084]) ).

fof(f4738,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK111
    | ~ spl122_122
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_524
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4737,f1020]) ).

fof(f4737,plain,
    ( sK111 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_524
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(forward_demodulation,[],[f4712,f1132]) ).

fof(f4712,plain,
    ( sK111 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_524
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(backward_demodulation,[],[f2625,f4711]) ).

fof(f2625,plain,
    ( sK111 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK99))))))))))))))))
    | ~ spl122_524 ),
    inference(avatar_component_clause,[],[f2624]) ).

fof(f4757,plain,
    ( spl122_683
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_483
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(avatar_split_clause,[],[f4734,f4653,f4551,f4535,f2460,f2248,f1827,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4755]) ).

fof(f4755,plain,
    ( spl122_683
  <=> n0 = sK108 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_683])]) ).

fof(f4718,plain,
    ( spl122_682
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_430
    | ~ spl122_671
    | ~ spl122_673
    | ~ spl122_677 ),
    inference(avatar_split_clause,[],[f4711,f4653,f4551,f4535,f2248,f1827,f1263,f1131,f1087,f4716]) ).

fof(f4716,plain,
    ( spl122_682
  <=> n0 = sK99 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_682])]) ).

fof(f4705,plain,
    ( spl122_681
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_503
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(avatar_split_clause,[],[f4687,f4591,f4587,f4539,f4531,f2540,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f4703]) ).

fof(f2540,plain,
    ( spl122_503
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK55)))))))))))))))) = sK40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_503])]) ).

fof(f4531,plain,
    ( spl122_670
  <=> n0 = sK39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_670])]) ).

fof(f4539,plain,
    ( spl122_672
  <=> sK55 = sum(pred(sK51),sum(succ(sK75),sum(n15,succ(sK39)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_672])]) ).

fof(f4587,plain,
    ( spl122_674
  <=> n0 = sK51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_674])]) ).

fof(f4591,plain,
    ( spl122_675
  <=> n0 = sK75 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_675])]) ).

fof(f4687,plain,
    ( n0 = sK40
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_503
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4686,f1032]) ).

fof(f4686,plain,
    ( pred(n1) = sK40
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_503
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4685,f1096]) ).

fof(f4685,plain,
    ( sK40 = pred(pred(n2))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_503
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4684,f1064]) ).

fof(f4684,plain,
    ( pred(pred(pred(n3))) = sK40
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_503
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4683,f1108]) ).

fof(f4683,plain,
    ( pred(pred(pred(pred(n4)))) = sK40
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_503
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4682,f1028]) ).

fof(f4682,plain,
    ( pred(pred(pred(pred(pred(n5))))) = sK40
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_503
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4681,f1100]) ).

fof(f4681,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK40
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_503
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4680,f1048]) ).

fof(f4680,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK40
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_503
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4679,f1080]) ).

fof(f4679,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK40
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_503
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4678,f1104]) ).

fof(f4678,plain,
    ( sK40 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_503
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4677,f1068]) ).

fof(f4677,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10)))))))))) = sK40
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_503
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4676,f1076]) ).

fof(f4676,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11))))))))))) = sK40
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_503
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4675,f1120]) ).

fof(f4675,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK40
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_503
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4674,f1056]) ).

fof(f4674,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK40
    | ~ spl122_122
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_503
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4673,f1084]) ).

fof(f4673,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK40
    | ~ spl122_122
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_503
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4672,f1020]) ).

fof(f4672,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15))))))))))))))) = sK40
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_503
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4651,f1132]) ).

fof(f4651,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0)))))))))))))))) = sK40
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_503
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(backward_demodulation,[],[f2541,f4608]) ).

fof(f4608,plain,
    ( n0 = sK55
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4607,f1264]) ).

fof(f4607,plain,
    ( sum(n15,n1) = sK55
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4606,f1132]) ).

fof(f4606,plain,
    ( sK55 = sum(pred(n0),n1)
    | ~ spl122_139
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4605,f4588]) ).

fof(f4588,plain,
    ( n0 = sK51
    | ~ spl122_674 ),
    inference(avatar_component_clause,[],[f4587]) ).

fof(f4605,plain,
    ( sK55 = sum(pred(sK51),n1)
    | ~ spl122_139
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4604,f1424]) ).

fof(f4604,plain,
    ( sK55 = sum(pred(sK51),sum(n1,n0))
    | ~ spl122_139
    | ~ spl122_183
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4603,f1088]) ).

fof(f4603,plain,
    ( sK55 = sum(pred(sK51),sum(succ(n0),n0))
    | ~ spl122_139
    | ~ spl122_183
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4602,f4592]) ).

fof(f4592,plain,
    ( n0 = sK75
    | ~ spl122_675 ),
    inference(avatar_component_clause,[],[f4591]) ).

fof(f4602,plain,
    ( sK55 = sum(pred(sK51),sum(succ(sK75),n0))
    | ~ spl122_139
    | ~ spl122_183
    | ~ spl122_670
    | ~ spl122_672 ),
    inference(forward_demodulation,[],[f4601,f1264]) ).

fof(f4601,plain,
    ( sK55 = sum(pred(sK51),sum(succ(sK75),sum(n15,n1)))
    | ~ spl122_139
    | ~ spl122_670
    | ~ spl122_672 ),
    inference(forward_demodulation,[],[f4600,f1088]) ).

fof(f4600,plain,
    ( sK55 = sum(pred(sK51),sum(succ(sK75),sum(n15,succ(n0))))
    | ~ spl122_670
    | ~ spl122_672 ),
    inference(forward_demodulation,[],[f4540,f4532]) ).

fof(f4532,plain,
    ( n0 = sK39
    | ~ spl122_670 ),
    inference(avatar_component_clause,[],[f4531]) ).

fof(f4540,plain,
    ( sK55 = sum(pred(sK51),sum(succ(sK75),sum(n15,succ(sK39))))
    | ~ spl122_672 ),
    inference(avatar_component_clause,[],[f4539]) ).

fof(f2541,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK55)))))))))))))))) = sK40
    | ~ spl122_503 ),
    inference(avatar_component_clause,[],[f2540]) ).

fof(f4701,plain,
    ( spl122_680
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_531
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(avatar_split_clause,[],[f4671,f4591,f4587,f4539,f4531,f2652,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4699]) ).

fof(f2652,plain,
    ( spl122_531
  <=> sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK55)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_531])]) ).

fof(f4671,plain,
    ( n0 = sK78
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_531
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4670,f1016]) ).

fof(f4670,plain,
    ( succ(n15) = sK78
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_531
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4669,f1072]) ).

fof(f4669,plain,
    ( sK78 = succ(succ(n14))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_531
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4668,f1116]) ).

fof(f4668,plain,
    ( sK78 = succ(succ(succ(n13)))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_531
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4667,f1044]) ).

fof(f4667,plain,
    ( sK78 = succ(succ(succ(succ(n12))))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_531
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4666,f1024]) ).

fof(f4666,plain,
    ( sK78 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_531
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4665,f1112]) ).

fof(f4665,plain,
    ( sK78 = succ(succ(succ(succ(succ(succ(n10))))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_531
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4664,f1040]) ).

fof(f4664,plain,
    ( sK78 = succ(succ(succ(succ(succ(succ(succ(n9)))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_531
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4663,f1124]) ).

fof(f4663,plain,
    ( sK78 = succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_531
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4662,f1060]) ).

fof(f4662,plain,
    ( sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(n7)))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_531
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4661,f1128]) ).

fof(f4661,plain,
    ( sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_531
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4660,f1136]) ).

fof(f4660,plain,
    ( sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5)))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_531
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4659,f1092]) ).

fof(f4659,plain,
    ( sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_531
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4658,f1052]) ).

fof(f4658,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK78
    | ~ spl122_126
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_531
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4657,f1036]) ).

fof(f4657,plain,
    ( sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_531
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4656,f1140]) ).

fof(f4656,plain,
    ( sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1)))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_531
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(forward_demodulation,[],[f4650,f1088]) ).

fof(f4650,plain,
    ( sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0))))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_531
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(backward_demodulation,[],[f2653,f4608]) ).

fof(f2653,plain,
    ( sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK55))))))))))))))))
    | ~ spl122_531 ),
    inference(avatar_component_clause,[],[f2652]) ).

fof(f4697,plain,
    ( spl122_679
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_494
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(avatar_split_clause,[],[f4649,f4551,f4535,f2504,f1827,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f4695]) ).

fof(f2504,plain,
    ( spl122_494
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK60)))))))))))))))) = sK113 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_494])]) ).

fof(f4649,plain,
    ( n0 = sK113
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_494
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4648,f1032]) ).

fof(f4648,plain,
    ( pred(n1) = sK113
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_494
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4647,f1096]) ).

fof(f4647,plain,
    ( pred(pred(n2)) = sK113
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_494
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4646,f1064]) ).

fof(f4646,plain,
    ( pred(pred(pred(n3))) = sK113
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_494
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4645,f1108]) ).

fof(f4645,plain,
    ( pred(pred(pred(pred(n4)))) = sK113
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_494
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4644,f1028]) ).

fof(f4644,plain,
    ( pred(pred(pred(pred(pred(n5))))) = sK113
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_494
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4643,f1100]) ).

fof(f4643,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK113
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_494
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4642,f1048]) ).

fof(f4642,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK113
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_494
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4641,f1080]) ).

fof(f4641,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK113
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_494
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4640,f1104]) ).

fof(f4640,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(n9))))))))) = sK113
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_494
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4639,f1068]) ).

fof(f4639,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10)))))))))) = sK113
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_494
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4638,f1076]) ).

fof(f4638,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11))))))))))) = sK113
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_494
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4637,f1120]) ).

fof(f4637,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK113
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_494
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4636,f1056]) ).

fof(f4636,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK113
    | ~ spl122_122
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_494
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4635,f1084]) ).

fof(f4635,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK113
    | ~ spl122_122
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_494
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4634,f1020]) ).

fof(f4634,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15))))))))))))))) = sK113
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_494
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(forward_demodulation,[],[f4610,f1132]) ).

fof(f4610,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0)))))))))))))))) = sK113
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_494
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(backward_demodulation,[],[f2505,f4599]) ).

fof(f2505,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK60)))))))))))))))) = sK113
    | ~ spl122_494 ),
    inference(avatar_component_clause,[],[f2504]) ).

fof(f4692,plain,
    ( spl122_678
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_511
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(avatar_split_clause,[],[f4633,f4551,f4535,f2572,f1827,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4690]) ).

fof(f4690,plain,
    ( spl122_678
  <=> n0 = sK115 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_678])]) ).

fof(f4655,plain,
    ( spl122_677
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_670
    | ~ spl122_672
    | ~ spl122_674
    | ~ spl122_675 ),
    inference(avatar_split_clause,[],[f4608,f4591,f4587,f4539,f4531,f1423,f1263,f1131,f1087,f4653]) ).

fof(f4615,plain,
    ( spl122_676
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_671
    | ~ spl122_673 ),
    inference(avatar_split_clause,[],[f4599,f4551,f4535,f1827,f1263,f1131,f1087,f4613]) ).

fof(f4613,plain,
    ( spl122_676
  <=> n0 = sK60 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_676])]) ).

fof(f4593,plain,
    ( spl122_675
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_493
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(avatar_split_clause,[],[f4585,f4431,f4416,f2500,f1827,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f4591]) ).

fof(f2500,plain,
    ( spl122_493
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16)))))))))))))))) = sK75 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_493])]) ).

fof(f4416,plain,
    ( spl122_664
  <=> sK16 = sum(sum(n15,succ(sK12)),sum(pred(sK12),n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_664])]) ).

fof(f4431,plain,
    ( spl122_665
  <=> n0 = sK12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_665])]) ).

fof(f4585,plain,
    ( n0 = sK75
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_493
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4584,f1032]) ).

fof(f4584,plain,
    ( pred(n1) = sK75
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_493
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4583,f1096]) ).

fof(f4583,plain,
    ( sK75 = pred(pred(n2))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_493
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4582,f1064]) ).

fof(f4582,plain,
    ( pred(pred(pred(n3))) = sK75
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_493
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4581,f1108]) ).

fof(f4581,plain,
    ( pred(pred(pred(pred(n4)))) = sK75
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_493
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4580,f1028]) ).

fof(f4580,plain,
    ( pred(pred(pred(pred(pred(n5))))) = sK75
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_493
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4579,f1100]) ).

fof(f4579,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK75
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_493
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4578,f1048]) ).

fof(f4578,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK75
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_493
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4577,f1080]) ).

fof(f4577,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK75
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_493
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4576,f1104]) ).

fof(f4576,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(n9))))))))) = sK75
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_493
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4575,f1068]) ).

fof(f4575,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10)))))))))) = sK75
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_493
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4574,f1076]) ).

fof(f4574,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11))))))))))) = sK75
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_493
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4573,f1120]) ).

fof(f4573,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK75
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_493
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4572,f1056]) ).

fof(f4572,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK75
    | ~ spl122_122
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_493
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4571,f1084]) ).

fof(f4571,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK75
    | ~ spl122_122
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_493
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4570,f1020]) ).

fof(f4570,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15))))))))))))))) = sK75
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_493
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4549,f1132]) ).

fof(f4549,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0)))))))))))))))) = sK75
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_493
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(backward_demodulation,[],[f2501,f4547]) ).

fof(f4547,plain,
    ( n0 = sK16
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4546,f1828]) ).

fof(f4546,plain,
    ( sum(n0,n0) = sK16
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4545,f1264]) ).

fof(f4545,plain,
    ( sK16 = sum(sum(n15,n1),n0)
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4544,f1088]) ).

fof(f4544,plain,
    ( sum(sum(n15,succ(n0)),n0) = sK16
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4543,f1264]) ).

fof(f4543,plain,
    ( sK16 = sum(sum(n15,succ(n0)),sum(n15,n1))
    | ~ spl122_150
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4542,f1132]) ).

fof(f4542,plain,
    ( sK16 = sum(sum(n15,succ(n0)),sum(pred(n0),n1))
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4417,f4432]) ).

fof(f4432,plain,
    ( n0 = sK12
    | ~ spl122_665 ),
    inference(avatar_component_clause,[],[f4431]) ).

fof(f4417,plain,
    ( sK16 = sum(sum(n15,succ(sK12)),sum(pred(sK12),n1))
    | ~ spl122_664 ),
    inference(avatar_component_clause,[],[f4416]) ).

fof(f2501,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16)))))))))))))))) = sK75
    | ~ spl122_493 ),
    inference(avatar_component_clause,[],[f2500]) ).

fof(f4589,plain,
    ( spl122_674
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_532
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(avatar_split_clause,[],[f4569,f4431,f4416,f2656,f1827,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4587]) ).

fof(f2656,plain,
    ( spl122_532
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16)))))))))))))))) = sK51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_532])]) ).

fof(f4569,plain,
    ( n0 = sK51
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_532
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4568,f1016]) ).

fof(f4568,plain,
    ( succ(n15) = sK51
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_532
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4567,f1072]) ).

fof(f4567,plain,
    ( sK51 = succ(succ(n14))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_532
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4566,f1116]) ).

fof(f4566,plain,
    ( succ(succ(succ(n13))) = sK51
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_532
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4565,f1044]) ).

fof(f4565,plain,
    ( succ(succ(succ(succ(n12)))) = sK51
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_532
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4564,f1024]) ).

fof(f4564,plain,
    ( sK51 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_532
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4563,f1112]) ).

fof(f4563,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK51
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_532
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4562,f1040]) ).

fof(f4562,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n9))))))) = sK51
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_532
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4561,f1124]) ).

fof(f4561,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(n8)))))))) = sK51
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_532
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4560,f1060]) ).

fof(f4560,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n7))))))))) = sK51
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_532
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4559,f1128]) ).

fof(f4559,plain,
    ( sK51 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_532
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4558,f1136]) ).

fof(f4558,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5))))))))))) = sK51
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_532
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4557,f1092]) ).

fof(f4557,plain,
    ( sK51 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_532
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4556,f1052]) ).

fof(f4556,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK51
    | ~ spl122_126
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_532
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4555,f1036]) ).

fof(f4555,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2)))))))))))))) = sK51
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_532
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4554,f1140]) ).

fof(f4554,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1))))))))))))))) = sK51
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_532
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(forward_demodulation,[],[f4548,f1088]) ).

fof(f4548,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))))))))))) = sK51
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_532
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(backward_demodulation,[],[f2657,f4547]) ).

fof(f2657,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16)))))))))))))))) = sK51
    | ~ spl122_532 ),
    inference(avatar_component_clause,[],[f2656]) ).

fof(f4553,plain,
    ( spl122_673
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_664
    | ~ spl122_665 ),
    inference(avatar_split_clause,[],[f4547,f4431,f4416,f1827,f1263,f1131,f1087,f4551]) ).

fof(f4541,plain,
    ( spl122_672
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_446
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(avatar_split_clause,[],[f4529,f4471,f4467,f4412,f4300,f4286,f4282,f4180,f4068,f4013,f4009,f3948,f3851,f3720,f3706,f3661,f3604,f3596,f2648,f2568,f2496,f2448,f2312,f2260,f2240,f2192,f2184,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f4539]) ).

fof(f2184,plain,
    ( spl122_414
  <=> sK109 = sum(pred(sK30),sum(succ(sK54),sum(pred(sK5),succ(sK25)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_414])]) ).

fof(f2192,plain,
    ( spl122_416
  <=> sK74 = sum(pred(sK107),sum(succ(sK32),sum(pred(sK67),succ(sK1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_416])]) ).

fof(f2240,plain,
    ( spl122_428
  <=> sum(pred(sK101),sum(succ(sK57),sum(pred(sK87),succ(sK50)))) = sK10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_428])]) ).

fof(f2260,plain,
    ( spl122_433
  <=> sK0 = sum(sum(pred(sK26),succ(sK41)),sum(pred(sK41),succ(sK26))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_433])]) ).

fof(f2312,plain,
    ( spl122_446
  <=> sK55 = sum(pred(sK51),sum(succ(sK75),sum(pred(sK112),succ(sK39)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_446])]) ).

fof(f2448,plain,
    ( spl122_480
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK102)))))))))))))))) = sK101 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_480])]) ).

fof(f2496,plain,
    ( spl122_492
  <=> sK112 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK109)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_492])]) ).

fof(f2568,plain,
    ( spl122_510
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK27)))))))))))))))) = sK54 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_510])]) ).

fof(f2648,plain,
    ( spl122_530
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0)))))))))))))))) = sK107 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_530])]) ).

fof(f3596,plain,
    ( spl122_613
  <=> n0 = sK92 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_613])]) ).

fof(f3604,plain,
    ( spl122_615
  <=> sum(n15,sum(succ(sK92),sum(pred(sK61),succ(sK22)))) = sK97 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_615])]) ).

fof(f3661,plain,
    ( spl122_617
  <=> n0 = sK61 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_617])]) ).

fof(f3706,plain,
    ( spl122_619
  <=> n0 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_619])]) ).

fof(f3720,plain,
    ( spl122_622
  <=> sK26 = sum(sum(n15,succ(sK97)),sum(pred(sK97),n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_622])]) ).

fof(f3851,plain,
    ( spl122_630
  <=> n0 = sK41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_630])]) ).

fof(f3948,plain,
    ( spl122_635
  <=> n0 = sK32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_635])]) ).

fof(f4009,plain,
    ( spl122_638
  <=> n0 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_638])]) ).

fof(f4013,plain,
    ( spl122_639
  <=> n0 = sK67 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_639])]) ).

fof(f4068,plain,
    ( spl122_643
  <=> sum(sum(n15,succ(sK74)),sum(pred(sK74),n1)) = sK102 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_643])]) ).

fof(f4180,plain,
    ( spl122_649
  <=> n0 = sK57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_649])]) ).

fof(f4282,plain,
    ( spl122_653
  <=> n0 = sK87 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_653])]) ).

fof(f4286,plain,
    ( spl122_654
  <=> n0 = sK50 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_654])]) ).

fof(f4300,plain,
    ( spl122_657
  <=> sum(sum(n15,succ(sK10)),sum(pred(sK10),n1)) = sK27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_657])]) ).

fof(f4412,plain,
    ( spl122_663
  <=> n0 = sK30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_663])]) ).

fof(f4467,plain,
    ( spl122_666
  <=> n0 = sK25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_666])]) ).

fof(f4471,plain,
    ( spl122_667
  <=> n0 = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_667])]) ).

fof(f4529,plain,
    ( sK55 = sum(pred(sK51),sum(succ(sK75),sum(n15,succ(sK39))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_446
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4524,f1132]) ).

fof(f4524,plain,
    ( sK55 = sum(pred(sK51),sum(succ(sK75),sum(pred(n0),succ(sK39))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_446
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(backward_demodulation,[],[f2313,f4507]) ).

fof(f4507,plain,
    ( n0 = sK112
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4506,f1016]) ).

fof(f4506,plain,
    ( succ(n15) = sK112
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4505,f1072]) ).

fof(f4505,plain,
    ( sK112 = succ(succ(n14))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4504,f1116]) ).

fof(f4504,plain,
    ( sK112 = succ(succ(succ(n13)))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4503,f1044]) ).

fof(f4503,plain,
    ( sK112 = succ(succ(succ(succ(n12))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4502,f1024]) ).

fof(f4502,plain,
    ( sK112 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4501,f1112]) ).

fof(f4501,plain,
    ( sK112 = succ(succ(succ(succ(succ(succ(n10))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4500,f1040]) ).

fof(f4500,plain,
    ( sK112 = succ(succ(succ(succ(succ(succ(succ(n9)))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4499,f1124]) ).

fof(f4499,plain,
    ( sK112 = succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4498,f1060]) ).

fof(f4498,plain,
    ( sK112 = succ(succ(succ(succ(succ(succ(succ(succ(succ(n7)))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4497,f1128]) ).

fof(f4497,plain,
    ( sK112 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4496,f1136]) ).

fof(f4496,plain,
    ( sK112 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5)))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4495,f1092]) ).

fof(f4495,plain,
    ( sK112 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4494,f1052]) ).

fof(f4494,plain,
    ( sK112 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3)))))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4493,f1036]) ).

fof(f4493,plain,
    ( sK112 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2))))))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4492,f1140]) ).

fof(f4492,plain,
    ( sK112 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1)))))))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4483,f1088]) ).

fof(f4483,plain,
    ( sK112 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0))))))))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(backward_demodulation,[],[f2497,f4482]) ).

fof(f4482,plain,
    ( n0 = sK109
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4481,f1264]) ).

fof(f4481,plain,
    ( sum(n15,n1) = sK109
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4480,f1424]) ).

fof(f4480,plain,
    ( sK109 = sum(n15,sum(n1,n0))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4479,f1264]) ).

fof(f4479,plain,
    ( sum(n15,sum(n1,sum(n15,n1))) = sK109
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4478,f1132]) ).

fof(f4478,plain,
    ( sK109 = sum(n15,sum(n1,sum(pred(n0),n1)))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4477,f4472]) ).

fof(f4472,plain,
    ( n0 = sK5
    | ~ spl122_667 ),
    inference(avatar_component_clause,[],[f4471]) ).

fof(f4477,plain,
    ( sum(n15,sum(n1,sum(pred(sK5),n1))) = sK109
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666 ),
    inference(forward_demodulation,[],[f4476,f1088]) ).

fof(f4476,plain,
    ( sum(n15,sum(n1,sum(pred(sK5),succ(n0)))) = sK109
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666 ),
    inference(forward_demodulation,[],[f4475,f4468]) ).

fof(f4468,plain,
    ( n0 = sK25
    | ~ spl122_666 ),
    inference(avatar_component_clause,[],[f4467]) ).

fof(f4475,plain,
    ( sK109 = sum(n15,sum(n1,sum(pred(sK5),succ(sK25))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663 ),
    inference(forward_demodulation,[],[f4474,f1132]) ).

fof(f4474,plain,
    ( sK109 = sum(pred(n0),sum(n1,sum(pred(sK5),succ(sK25))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663 ),
    inference(forward_demodulation,[],[f4410,f4413]) ).

fof(f4413,plain,
    ( n0 = sK30
    | ~ spl122_663 ),
    inference(avatar_component_clause,[],[f4412]) ).

fof(f4410,plain,
    ( sK109 = sum(pred(sK30),sum(n1,sum(pred(sK5),succ(sK25))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4405,f1088]) ).

fof(f4405,plain,
    ( sK109 = sum(pred(sK30),sum(succ(n0),sum(pred(sK5),succ(sK25))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(backward_demodulation,[],[f2185,f4378]) ).

fof(f4378,plain,
    ( n0 = sK54
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4377,f1032]) ).

fof(f4377,plain,
    ( pred(n1) = sK54
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4376,f1096]) ).

fof(f4376,plain,
    ( sK54 = pred(pred(n2))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4375,f1064]) ).

fof(f4375,plain,
    ( sK54 = pred(pred(pred(n3)))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4374,f1108]) ).

fof(f4374,plain,
    ( pred(pred(pred(pred(n4)))) = sK54
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4373,f1028]) ).

fof(f4373,plain,
    ( sK54 = pred(pred(pred(pred(pred(n5)))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4372,f1100]) ).

fof(f4372,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK54
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4371,f1048]) ).

fof(f4371,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK54
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4370,f1080]) ).

fof(f4370,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK54
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4369,f1104]) ).

fof(f4369,plain,
    ( sK54 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4368,f1068]) ).

fof(f4368,plain,
    ( sK54 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4367,f1076]) ).

fof(f4367,plain,
    ( sK54 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11)))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4366,f1120]) ).

fof(f4366,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK54
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4365,f1056]) ).

fof(f4365,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK54
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4364,f1084]) ).

fof(f4364,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK54
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4363,f1020]) ).

fof(f4363,plain,
    ( sK54 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4356,f1132]) ).

fof(f4356,plain,
    ( sK54 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(backward_demodulation,[],[f2569,f4323]) ).

fof(f4323,plain,
    ( n0 = sK27
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4322,f1828]) ).

fof(f4322,plain,
    ( sum(n0,n0) = sK27
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4321,f1264]) ).

fof(f4321,plain,
    ( sum(sum(n15,n1),n0) = sK27
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4320,f1088]) ).

fof(f4320,plain,
    ( sum(sum(n15,succ(n0)),n0) = sK27
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4319,f1264]) ).

fof(f4319,plain,
    ( sum(sum(n15,succ(n0)),sum(n15,n1)) = sK27
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4312,f1132]) ).

fof(f4312,plain,
    ( sum(sum(n15,succ(n0)),sum(pred(n0),n1)) = sK27
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(backward_demodulation,[],[f4301,f4311]) ).

fof(f4311,plain,
    ( n0 = sK10
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4310,f1264]) ).

fof(f4310,plain,
    ( sum(n15,n1) = sK10
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4309,f1424]) ).

fof(f4309,plain,
    ( sK10 = sum(n15,sum(n1,n0))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4308,f1088]) ).

fof(f4308,plain,
    ( sK10 = sum(n15,sum(succ(n0),n0))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4307,f4181]) ).

fof(f4181,plain,
    ( n0 = sK57
    | ~ spl122_649 ),
    inference(avatar_component_clause,[],[f4180]) ).

fof(f4307,plain,
    ( sK10 = sum(n15,sum(succ(sK57),n0))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4306,f1264]) ).

fof(f4306,plain,
    ( sum(n15,sum(succ(sK57),sum(n15,n1))) = sK10
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4305,f1132]) ).

fof(f4305,plain,
    ( sK10 = sum(n15,sum(succ(sK57),sum(pred(n0),n1)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4304,f4283]) ).

fof(f4283,plain,
    ( n0 = sK87
    | ~ spl122_653 ),
    inference(avatar_component_clause,[],[f4282]) ).

fof(f4304,plain,
    ( sK10 = sum(n15,sum(succ(sK57),sum(pred(sK87),n1)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4303,f1088]) ).

fof(f4303,plain,
    ( sum(n15,sum(succ(sK57),sum(pred(sK87),succ(n0)))) = sK10
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4178,f4287]) ).

fof(f4287,plain,
    ( n0 = sK50
    | ~ spl122_654 ),
    inference(avatar_component_clause,[],[f4286]) ).

fof(f4178,plain,
    ( sum(n15,sum(succ(sK57),sum(pred(sK87),succ(sK50)))) = sK10
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4173,f1132]) ).

fof(f4173,plain,
    ( sum(pred(n0),sum(succ(sK57),sum(pred(sK87),succ(sK50)))) = sK10
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(backward_demodulation,[],[f2241,f4146]) ).

fof(f4146,plain,
    ( n0 = sK101
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4145,f1016]) ).

fof(f4145,plain,
    ( succ(n15) = sK101
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4144,f1072]) ).

fof(f4144,plain,
    ( succ(succ(n14)) = sK101
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4143,f1116]) ).

fof(f4143,plain,
    ( succ(succ(succ(n13))) = sK101
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4142,f1044]) ).

fof(f4142,plain,
    ( succ(succ(succ(succ(n12)))) = sK101
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4141,f1024]) ).

fof(f4141,plain,
    ( succ(succ(succ(succ(succ(n11))))) = sK101
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4140,f1112]) ).

fof(f4140,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK101
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4139,f1040]) ).

fof(f4139,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n9))))))) = sK101
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4138,f1124]) ).

fof(f4138,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(n8)))))))) = sK101
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4137,f1060]) ).

fof(f4137,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n7))))))))) = sK101
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4136,f1128]) ).

fof(f4136,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6)))))))))) = sK101
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4135,f1136]) ).

fof(f4135,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5))))))))))) = sK101
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4134,f1092]) ).

fof(f4134,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4)))))))))))) = sK101
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4133,f1052]) ).

fof(f4133,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK101
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4132,f1036]) ).

fof(f4132,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2)))))))))))))) = sK101
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4131,f1140]) ).

fof(f4131,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1))))))))))))))) = sK101
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4125,f1088]) ).

fof(f4125,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))))))))))) = sK101
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(backward_demodulation,[],[f2449,f4091]) ).

fof(f4091,plain,
    ( n0 = sK102
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4090,f1828]) ).

fof(f4090,plain,
    ( sum(n0,n0) = sK102
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4089,f1264]) ).

fof(f4089,plain,
    ( sum(sum(n15,n1),n0) = sK102
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4088,f1088]) ).

fof(f4088,plain,
    ( sum(sum(n15,succ(n0)),n0) = sK102
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4087,f1264]) ).

fof(f4087,plain,
    ( sum(sum(n15,succ(n0)),sum(n15,n1)) = sK102
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4080,f1132]) ).

fof(f4080,plain,
    ( sum(sum(n15,succ(n0)),sum(pred(n0),n1)) = sK102
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(backward_demodulation,[],[f4069,f4079]) ).

fof(f4079,plain,
    ( n0 = sK74
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4078,f1264]) ).

fof(f4078,plain,
    ( sum(n15,n1) = sK74
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4077,f1424]) ).

fof(f4077,plain,
    ( sK74 = sum(n15,sum(n1,n0))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4076,f1088]) ).

fof(f4076,plain,
    ( sK74 = sum(n15,sum(succ(n0),n0))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4075,f3949]) ).

fof(f3949,plain,
    ( n0 = sK32
    | ~ spl122_635 ),
    inference(avatar_component_clause,[],[f3948]) ).

fof(f4075,plain,
    ( sum(n15,sum(succ(sK32),n0)) = sK74
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4074,f1264]) ).

fof(f4074,plain,
    ( sK74 = sum(n15,sum(succ(sK32),sum(n15,n1)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4073,f1132]) ).

fof(f4073,plain,
    ( sK74 = sum(n15,sum(succ(sK32),sum(pred(n0),n1)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4072,f4014]) ).

fof(f4014,plain,
    ( n0 = sK67
    | ~ spl122_639 ),
    inference(avatar_component_clause,[],[f4013]) ).

fof(f4072,plain,
    ( sK74 = sum(n15,sum(succ(sK32),sum(pred(sK67),n1)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_638 ),
    inference(forward_demodulation,[],[f4071,f1088]) ).

fof(f4071,plain,
    ( sK74 = sum(n15,sum(succ(sK32),sum(pred(sK67),succ(n0))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_638 ),
    inference(forward_demodulation,[],[f3946,f4010]) ).

fof(f4010,plain,
    ( n0 = sK1
    | ~ spl122_638 ),
    inference(avatar_component_clause,[],[f4009]) ).

fof(f3946,plain,
    ( sum(n15,sum(succ(sK32),sum(pred(sK67),succ(sK1)))) = sK74
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3941,f1132]) ).

fof(f3941,plain,
    ( sK74 = sum(pred(n0),sum(succ(sK32),sum(pred(sK67),succ(sK1))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(backward_demodulation,[],[f2193,f3922]) ).

fof(f3922,plain,
    ( n0 = sK107
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3921,f1016]) ).

fof(f3921,plain,
    ( succ(n15) = sK107
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3920,f1072]) ).

fof(f3920,plain,
    ( succ(succ(n14)) = sK107
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3919,f1116]) ).

fof(f3919,plain,
    ( succ(succ(succ(n13))) = sK107
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3918,f1044]) ).

fof(f3918,plain,
    ( succ(succ(succ(succ(n12)))) = sK107
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3917,f1024]) ).

fof(f3917,plain,
    ( succ(succ(succ(succ(succ(n11))))) = sK107
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3916,f1112]) ).

fof(f3916,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK107
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3915,f1040]) ).

fof(f3915,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n9))))))) = sK107
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3914,f1124]) ).

fof(f3914,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(n8)))))))) = sK107
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3913,f1060]) ).

fof(f3913,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n7))))))))) = sK107
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3912,f1128]) ).

fof(f3912,plain,
    ( sK107 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3911,f1136]) ).

fof(f3911,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5))))))))))) = sK107
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3910,f1092]) ).

fof(f3910,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4)))))))))))) = sK107
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3909,f1052]) ).

fof(f3909,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK107
    | ~ spl122_126
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3908,f1036]) ).

fof(f3908,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2)))))))))))))) = sK107
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3907,f1140]) ).

fof(f3907,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1))))))))))))))) = sK107
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3900,f1088]) ).

fof(f3900,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))))))))))) = sK107
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(backward_demodulation,[],[f2649,f3899]) ).

fof(f3899,plain,
    ( n0 = sK0
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3898,f1828]) ).

fof(f3898,plain,
    ( sum(n0,n0) = sK0
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3897,f1264]) ).

fof(f3897,plain,
    ( sum(sum(n15,n1),n0) = sK0
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3896,f1088]) ).

fof(f3896,plain,
    ( sum(sum(n15,succ(n0)),n0) = sK0
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3895,f1264]) ).

fof(f3895,plain,
    ( sum(sum(n15,succ(n0)),sum(n15,n1)) = sK0
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3894,f1132]) ).

fof(f3894,plain,
    ( sum(sum(n15,succ(n0)),sum(pred(n0),n1)) = sK0
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3794,f3852]) ).

fof(f3852,plain,
    ( n0 = sK41
    | ~ spl122_630 ),
    inference(avatar_component_clause,[],[f3851]) ).

fof(f3794,plain,
    ( sK0 = sum(sum(n15,succ(sK41)),sum(pred(sK41),n1))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3793,f1132]) ).

fof(f3793,plain,
    ( sum(sum(pred(n0),succ(sK41)),sum(pred(sK41),n1)) = sK0
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3788,f1088]) ).

fof(f3788,plain,
    ( sum(sum(pred(n0),succ(sK41)),sum(pred(sK41),succ(n0))) = sK0
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(backward_demodulation,[],[f2261,f3765]) ).

fof(f3765,plain,
    ( n0 = sK26
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3764,f1828]) ).

fof(f3764,plain,
    ( sum(n0,n0) = sK26
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3763,f1264]) ).

fof(f3763,plain,
    ( sum(sum(n15,n1),n0) = sK26
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3762,f1088]) ).

fof(f3762,plain,
    ( sum(sum(n15,succ(n0)),n0) = sK26
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3761,f1264]) ).

fof(f3761,plain,
    ( sum(sum(n15,succ(n0)),sum(n15,n1)) = sK26
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3738,f1132]) ).

fof(f3738,plain,
    ( sK26 = sum(sum(n15,succ(n0)),sum(pred(n0),n1))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(backward_demodulation,[],[f3721,f3735]) ).

fof(f3735,plain,
    ( n0 = sK97
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3734,f1264]) ).

fof(f3734,plain,
    ( sum(n15,n1) = sK97
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3733,f1424]) ).

fof(f3733,plain,
    ( sK97 = sum(n15,sum(n1,n0))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3732,f1088]) ).

fof(f3732,plain,
    ( sum(n15,sum(succ(n0),n0)) = sK97
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3731,f3597]) ).

fof(f3597,plain,
    ( n0 = sK92
    | ~ spl122_613 ),
    inference(avatar_component_clause,[],[f3596]) ).

fof(f3731,plain,
    ( sK97 = sum(n15,sum(succ(sK92),n0))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3730,f1264]) ).

fof(f3730,plain,
    ( sum(n15,sum(succ(sK92),sum(n15,n1))) = sK97
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3729,f1132]) ).

fof(f3729,plain,
    ( sK97 = sum(n15,sum(succ(sK92),sum(pred(n0),n1)))
    | ~ spl122_139
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3728,f3662]) ).

fof(f3662,plain,
    ( n0 = sK61
    | ~ spl122_617 ),
    inference(avatar_component_clause,[],[f3661]) ).

fof(f3728,plain,
    ( sum(n15,sum(succ(sK92),sum(pred(sK61),n1))) = sK97
    | ~ spl122_139
    | ~ spl122_615
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3727,f1088]) ).

fof(f3727,plain,
    ( sum(n15,sum(succ(sK92),sum(pred(sK61),succ(n0)))) = sK97
    | ~ spl122_615
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3605,f3707]) ).

fof(f3707,plain,
    ( n0 = sK22
    | ~ spl122_619 ),
    inference(avatar_component_clause,[],[f3706]) ).

fof(f3605,plain,
    ( sum(n15,sum(succ(sK92),sum(pred(sK61),succ(sK22)))) = sK97
    | ~ spl122_615 ),
    inference(avatar_component_clause,[],[f3604]) ).

fof(f3721,plain,
    ( sK26 = sum(sum(n15,succ(sK97)),sum(pred(sK97),n1))
    | ~ spl122_622 ),
    inference(avatar_component_clause,[],[f3720]) ).

fof(f2261,plain,
    ( sK0 = sum(sum(pred(sK26),succ(sK41)),sum(pred(sK41),succ(sK26)))
    | ~ spl122_433 ),
    inference(avatar_component_clause,[],[f2260]) ).

fof(f2649,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0)))))))))))))))) = sK107
    | ~ spl122_530 ),
    inference(avatar_component_clause,[],[f2648]) ).

fof(f2193,plain,
    ( sK74 = sum(pred(sK107),sum(succ(sK32),sum(pred(sK67),succ(sK1))))
    | ~ spl122_416 ),
    inference(avatar_component_clause,[],[f2192]) ).

fof(f4069,plain,
    ( sum(sum(n15,succ(sK74)),sum(pred(sK74),n1)) = sK102
    | ~ spl122_643 ),
    inference(avatar_component_clause,[],[f4068]) ).

fof(f2449,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK102)))))))))))))))) = sK101
    | ~ spl122_480 ),
    inference(avatar_component_clause,[],[f2448]) ).

fof(f2241,plain,
    ( sum(pred(sK101),sum(succ(sK57),sum(pred(sK87),succ(sK50)))) = sK10
    | ~ spl122_428 ),
    inference(avatar_component_clause,[],[f2240]) ).

fof(f4301,plain,
    ( sum(sum(n15,succ(sK10)),sum(pred(sK10),n1)) = sK27
    | ~ spl122_657 ),
    inference(avatar_component_clause,[],[f4300]) ).

fof(f2569,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK27)))))))))))))))) = sK54
    | ~ spl122_510 ),
    inference(avatar_component_clause,[],[f2568]) ).

fof(f2185,plain,
    ( sK109 = sum(pred(sK30),sum(succ(sK54),sum(pred(sK5),succ(sK25))))
    | ~ spl122_414 ),
    inference(avatar_component_clause,[],[f2184]) ).

fof(f2497,plain,
    ( sK112 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK109))))))))))))))))
    | ~ spl122_492 ),
    inference(avatar_component_clause,[],[f2496]) ).

fof(f2313,plain,
    ( sK55 = sum(pred(sK51),sum(succ(sK75),sum(pred(sK112),succ(sK39))))
    | ~ spl122_446 ),
    inference(avatar_component_clause,[],[f2312]) ).

fof(f4537,plain,
    ( spl122_671
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_448
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(avatar_split_clause,[],[f4491,f4471,f4467,f4412,f4300,f4286,f4282,f4180,f4068,f4013,f4009,f3948,f3851,f3720,f3706,f3661,f3604,f3596,f2648,f2568,f2448,f2320,f2260,f2240,f2192,f2184,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f4535]) ).

fof(f2320,plain,
    ( spl122_448
  <=> sK60 = sum(sum(pred(sK16),succ(sK109)),sum(pred(sK109),succ(sK16))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_448])]) ).

fof(f4491,plain,
    ( sK60 = sum(sum(pred(sK16),n1),sum(n15,succ(sK16)))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_448
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4490,f1088]) ).

fof(f4490,plain,
    ( sK60 = sum(sum(pred(sK16),succ(n0)),sum(n15,succ(sK16)))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_448
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4485,f1132]) ).

fof(f4485,plain,
    ( sK60 = sum(sum(pred(sK16),succ(n0)),sum(pred(n0),succ(sK16)))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_448
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(backward_demodulation,[],[f2321,f4482]) ).

fof(f2321,plain,
    ( sK60 = sum(sum(pred(sK16),succ(sK109)),sum(pred(sK109),succ(sK16)))
    | ~ spl122_448 ),
    inference(avatar_component_clause,[],[f2320]) ).

fof(f4533,plain,
    ( spl122_670
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_490
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(avatar_split_clause,[],[f4523,f4471,f4467,f4412,f4300,f4286,f4282,f4180,f4068,f4013,f4009,f3948,f3851,f3720,f3706,f3661,f3604,f3596,f2648,f2568,f2488,f2448,f2260,f2240,f2192,f2184,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f4531]) ).

fof(f2488,plain,
    ( spl122_490
  <=> sK39 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK109)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_490])]) ).

fof(f4523,plain,
    ( n0 = sK39
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_490
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4522,f1032]) ).

fof(f4522,plain,
    ( pred(n1) = sK39
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_490
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4521,f1096]) ).

fof(f4521,plain,
    ( sK39 = pred(pred(n2))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_490
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4520,f1064]) ).

fof(f4520,plain,
    ( sK39 = pred(pred(pred(n3)))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_490
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4519,f1108]) ).

fof(f4519,plain,
    ( pred(pred(pred(pred(n4)))) = sK39
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_490
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4518,f1028]) ).

fof(f4518,plain,
    ( sK39 = pred(pred(pred(pred(pred(n5)))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_490
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4517,f1100]) ).

fof(f4517,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK39
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_490
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4516,f1048]) ).

fof(f4516,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK39
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_490
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4515,f1080]) ).

fof(f4515,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK39
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_490
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4514,f1104]) ).

fof(f4514,plain,
    ( sK39 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_490
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4513,f1068]) ).

fof(f4513,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10)))))))))) = sK39
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_490
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4512,f1076]) ).

fof(f4512,plain,
    ( sK39 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11)))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_490
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4511,f1120]) ).

fof(f4511,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK39
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_490
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4510,f1056]) ).

fof(f4510,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK39
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_490
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4509,f1084]) ).

fof(f4509,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK39
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_490
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4508,f1020]) ).

fof(f4508,plain,
    ( sK39 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_490
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(forward_demodulation,[],[f4484,f1132]) ).

fof(f4484,plain,
    ( sK39 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_490
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(backward_demodulation,[],[f2489,f4482]) ).

fof(f2489,plain,
    ( sK39 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK109))))))))))))))))
    | ~ spl122_490 ),
    inference(avatar_component_clause,[],[f2488]) ).

fof(f4528,plain,
    ( spl122_669
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_492
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(avatar_split_clause,[],[f4507,f4471,f4467,f4412,f4300,f4286,f4282,f4180,f4068,f4013,f4009,f3948,f3851,f3720,f3706,f3661,f3604,f3596,f2648,f2568,f2496,f2448,f2260,f2240,f2192,f2184,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f4526]) ).

fof(f4526,plain,
    ( spl122_669
  <=> n0 = sK112 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_669])]) ).

fof(f4489,plain,
    ( spl122_668
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_414
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657
    | ~ spl122_663
    | ~ spl122_666
    | ~ spl122_667 ),
    inference(avatar_split_clause,[],[f4482,f4471,f4467,f4412,f4300,f4286,f4282,f4180,f4068,f4013,f4009,f3948,f3851,f3720,f3706,f3661,f3604,f3596,f2648,f2568,f2448,f2260,f2240,f2192,f2184,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f4487]) ).

fof(f4487,plain,
    ( spl122_668
  <=> n0 = sK109 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_668])]) ).

fof(f4473,plain,
    ( spl122_667
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_470
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(avatar_split_clause,[],[f4465,f4402,f4398,f4296,f4184,f4170,f4166,f4064,f3967,f3952,f2580,f2452,f2408,f2212,f2188,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f4471]) ).

fof(f2188,plain,
    ( spl122_415
  <=> sum(pred(sK53),sum(succ(sK3),sum(pred(sK121),succ(sK46)))) = sK12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_415])]) ).

fof(f2212,plain,
    ( spl122_421
  <=> sK70 = sum(pred(sK118),sum(succ(sK81),sum(pred(sK11),succ(sK82)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_421])]) ).

fof(f2408,plain,
    ( spl122_470
  <=> sK5 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_470])]) ).

fof(f2452,plain,
    ( spl122_481
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK58)))))))))))))))) = sK81 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_481])]) ).

fof(f2580,plain,
    ( spl122_513
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK64)))))))))))))))) = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_513])]) ).

fof(f3952,plain,
    ( spl122_636
  <=> sK58 = sum(sum(n15,succ(sK65)),sum(pred(sK65),n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_636])]) ).

fof(f3967,plain,
    ( spl122_637
  <=> n0 = sK65 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_637])]) ).

fof(f4064,plain,
    ( spl122_642
  <=> n0 = sK118 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_642])]) ).

fof(f4166,plain,
    ( spl122_646
  <=> n0 = sK11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_646])]) ).

fof(f4170,plain,
    ( spl122_647
  <=> n0 = sK82 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_647])]) ).

fof(f4184,plain,
    ( spl122_650
  <=> sK64 = sum(sum(n15,succ(sK70)),sum(pred(sK70),n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_650])]) ).

fof(f4296,plain,
    ( spl122_656
  <=> n0 = sK53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_656])]) ).

fof(f4398,plain,
    ( spl122_660
  <=> n0 = sK46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_660])]) ).

fof(f4402,plain,
    ( spl122_661
  <=> n0 = sK121 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_661])]) ).

fof(f4465,plain,
    ( n0 = sK5
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_470
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4464,f1016]) ).

fof(f4464,plain,
    ( succ(n15) = sK5
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_470
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4463,f1072]) ).

fof(f4463,plain,
    ( sK5 = succ(succ(n14))
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_470
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4462,f1116]) ).

fof(f4462,plain,
    ( sK5 = succ(succ(succ(n13)))
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_470
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4461,f1044]) ).

fof(f4461,plain,
    ( sK5 = succ(succ(succ(succ(n12))))
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_470
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4460,f1024]) ).

fof(f4460,plain,
    ( sK5 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_470
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4459,f1112]) ).

fof(f4459,plain,
    ( sK5 = succ(succ(succ(succ(succ(succ(n10))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_470
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4458,f1040]) ).

fof(f4458,plain,
    ( sK5 = succ(succ(succ(succ(succ(succ(succ(n9)))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_470
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4457,f1124]) ).

fof(f4457,plain,
    ( sK5 = succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_470
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4456,f1060]) ).

fof(f4456,plain,
    ( sK5 = succ(succ(succ(succ(succ(succ(succ(succ(succ(n7)))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_470
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4455,f1128]) ).

fof(f4455,plain,
    ( sK5 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_470
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4454,f1136]) ).

fof(f4454,plain,
    ( sK5 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5)))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_470
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4453,f1092]) ).

fof(f4453,plain,
    ( sK5 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_470
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4452,f1052]) ).

fof(f4452,plain,
    ( sK5 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3)))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_470
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4451,f1036]) ).

fof(f4451,plain,
    ( sK5 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2))))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_470
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4450,f1140]) ).

fof(f4450,plain,
    ( sK5 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1)))))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_470
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4429,f1088]) ).

fof(f4429,plain,
    ( sK5 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0))))))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_470
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(backward_demodulation,[],[f2409,f4427]) ).

fof(f4427,plain,
    ( n0 = sK12
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4426,f1264]) ).

fof(f4426,plain,
    ( sum(n15,n1) = sK12
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4425,f1132]) ).

fof(f4425,plain,
    ( sum(pred(n0),n1) = sK12
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4424,f4297]) ).

fof(f4297,plain,
    ( n0 = sK53
    | ~ spl122_656 ),
    inference(avatar_component_clause,[],[f4296]) ).

fof(f4424,plain,
    ( sum(pred(sK53),n1) = sK12
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4423,f1424]) ).

fof(f4423,plain,
    ( sum(pred(sK53),sum(n1,n0)) = sK12
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4422,f1264]) ).

fof(f4422,plain,
    ( sum(pred(sK53),sum(n1,sum(n15,n1))) = sK12
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4421,f1132]) ).

fof(f4421,plain,
    ( sum(pred(sK53),sum(n1,sum(pred(n0),n1))) = sK12
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4420,f4403]) ).

fof(f4403,plain,
    ( n0 = sK121
    | ~ spl122_661 ),
    inference(avatar_component_clause,[],[f4402]) ).

fof(f4420,plain,
    ( sum(pred(sK53),sum(n1,sum(pred(sK121),n1))) = sK12
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_660 ),
    inference(forward_demodulation,[],[f4419,f1088]) ).

fof(f4419,plain,
    ( sum(pred(sK53),sum(n1,sum(pred(sK121),succ(n0)))) = sK12
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_660 ),
    inference(forward_demodulation,[],[f4294,f4399]) ).

fof(f4399,plain,
    ( n0 = sK46
    | ~ spl122_660 ),
    inference(avatar_component_clause,[],[f4398]) ).

fof(f4294,plain,
    ( sum(pred(sK53),sum(n1,sum(pred(sK121),succ(sK46)))) = sK12
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4289,f1088]) ).

fof(f4289,plain,
    ( sum(pred(sK53),sum(succ(n0),sum(pred(sK121),succ(sK46)))) = sK12
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(backward_demodulation,[],[f2189,f4262]) ).

fof(f4262,plain,
    ( n0 = sK3
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4261,f1032]) ).

fof(f4261,plain,
    ( pred(n1) = sK3
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4260,f1096]) ).

fof(f4260,plain,
    ( pred(pred(n2)) = sK3
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4259,f1064]) ).

fof(f4259,plain,
    ( pred(pred(pred(n3))) = sK3
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4258,f1108]) ).

fof(f4258,plain,
    ( pred(pred(pred(pred(n4)))) = sK3
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4257,f1028]) ).

fof(f4257,plain,
    ( pred(pred(pred(pred(pred(n5))))) = sK3
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4256,f1100]) ).

fof(f4256,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK3
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4255,f1048]) ).

fof(f4255,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK3
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4254,f1080]) ).

fof(f4254,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK3
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4253,f1104]) ).

fof(f4253,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(n9))))))))) = sK3
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4252,f1068]) ).

fof(f4252,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10)))))))))) = sK3
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4251,f1076]) ).

fof(f4251,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11))))))))))) = sK3
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4250,f1120]) ).

fof(f4250,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK3
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4249,f1056]) ).

fof(f4249,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK3
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4248,f1084]) ).

fof(f4248,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK3
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4247,f1020]) ).

fof(f4247,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15))))))))))))))) = sK3
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4240,f1132]) ).

fof(f4240,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0)))))))))))))))) = sK3
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(backward_demodulation,[],[f2581,f4207]) ).

fof(f4207,plain,
    ( n0 = sK64
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4206,f1828]) ).

fof(f4206,plain,
    ( sum(n0,n0) = sK64
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4205,f1264]) ).

fof(f4205,plain,
    ( sK64 = sum(sum(n15,n1),n0)
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4204,f1088]) ).

fof(f4204,plain,
    ( sK64 = sum(sum(n15,succ(n0)),n0)
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4203,f1264]) ).

fof(f4203,plain,
    ( sK64 = sum(sum(n15,succ(n0)),sum(n15,n1))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4196,f1132]) ).

fof(f4196,plain,
    ( sK64 = sum(sum(n15,succ(n0)),sum(pred(n0),n1))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(backward_demodulation,[],[f4185,f4195]) ).

fof(f4195,plain,
    ( n0 = sK70
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4194,f1264]) ).

fof(f4194,plain,
    ( sum(n15,n1) = sK70
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4193,f1132]) ).

fof(f4193,plain,
    ( sK70 = sum(pred(n0),n1)
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4192,f4065]) ).

fof(f4065,plain,
    ( n0 = sK118
    | ~ spl122_642 ),
    inference(avatar_component_clause,[],[f4064]) ).

fof(f4192,plain,
    ( sK70 = sum(pred(sK118),n1)
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4191,f1424]) ).

fof(f4191,plain,
    ( sum(pred(sK118),sum(n1,n0)) = sK70
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4190,f1264]) ).

fof(f4190,plain,
    ( sum(pred(sK118),sum(n1,sum(n15,n1))) = sK70
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4189,f1132]) ).

fof(f4189,plain,
    ( sK70 = sum(pred(sK118),sum(n1,sum(pred(n0),n1)))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4188,f4167]) ).

fof(f4167,plain,
    ( n0 = sK11
    | ~ spl122_646 ),
    inference(avatar_component_clause,[],[f4166]) ).

fof(f4188,plain,
    ( sum(pred(sK118),sum(n1,sum(pred(sK11),n1))) = sK70
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4187,f1088]) ).

fof(f4187,plain,
    ( sK70 = sum(pred(sK118),sum(n1,sum(pred(sK11),succ(n0))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4062,f4171]) ).

fof(f4171,plain,
    ( n0 = sK82
    | ~ spl122_647 ),
    inference(avatar_component_clause,[],[f4170]) ).

fof(f4062,plain,
    ( sK70 = sum(pred(sK118),sum(n1,sum(pred(sK11),succ(sK82))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4057,f1088]) ).

fof(f4057,plain,
    ( sK70 = sum(pred(sK118),sum(succ(n0),sum(pred(sK11),succ(sK82))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(backward_demodulation,[],[f2213,f4038]) ).

fof(f4038,plain,
    ( n0 = sK81
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4037,f1032]) ).

fof(f4037,plain,
    ( pred(n1) = sK81
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4036,f1096]) ).

fof(f4036,plain,
    ( sK81 = pred(pred(n2))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4035,f1064]) ).

fof(f4035,plain,
    ( sK81 = pred(pred(pred(n3)))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4034,f1108]) ).

fof(f4034,plain,
    ( pred(pred(pred(pred(n4)))) = sK81
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4033,f1028]) ).

fof(f4033,plain,
    ( sK81 = pred(pred(pred(pred(pred(n5)))))
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4032,f1100]) ).

fof(f4032,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK81
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4031,f1048]) ).

fof(f4031,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK81
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4030,f1080]) ).

fof(f4030,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK81
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4029,f1104]) ).

fof(f4029,plain,
    ( sK81 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4028,f1068]) ).

fof(f4028,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10)))))))))) = sK81
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4027,f1076]) ).

fof(f4027,plain,
    ( sK81 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11)))))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4026,f1120]) ).

fof(f4026,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK81
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4025,f1056]) ).

fof(f4025,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK81
    | ~ spl122_122
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4024,f1084]) ).

fof(f4024,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK81
    | ~ spl122_122
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4023,f1020]) ).

fof(f4023,plain,
    ( sK81 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4017,f1132]) ).

fof(f4017,plain,
    ( sK81 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(backward_demodulation,[],[f2453,f4007]) ).

fof(f4007,plain,
    ( n0 = sK58
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4006,f1828]) ).

fof(f4006,plain,
    ( sum(n0,n0) = sK58
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4005,f1264]) ).

fof(f4005,plain,
    ( sK58 = sum(sum(n15,n1),n0)
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4004,f1088]) ).

fof(f4004,plain,
    ( sum(sum(n15,succ(n0)),n0) = sK58
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4003,f1264]) ).

fof(f4003,plain,
    ( sK58 = sum(sum(n15,succ(n0)),sum(n15,n1))
    | ~ spl122_150
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4002,f1132]) ).

fof(f4002,plain,
    ( sK58 = sum(sum(n15,succ(n0)),sum(pred(n0),n1))
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f3953,f3968]) ).

fof(f3968,plain,
    ( n0 = sK65
    | ~ spl122_637 ),
    inference(avatar_component_clause,[],[f3967]) ).

fof(f3953,plain,
    ( sK58 = sum(sum(n15,succ(sK65)),sum(pred(sK65),n1))
    | ~ spl122_636 ),
    inference(avatar_component_clause,[],[f3952]) ).

fof(f2453,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK58)))))))))))))))) = sK81
    | ~ spl122_481 ),
    inference(avatar_component_clause,[],[f2452]) ).

fof(f2213,plain,
    ( sK70 = sum(pred(sK118),sum(succ(sK81),sum(pred(sK11),succ(sK82))))
    | ~ spl122_421 ),
    inference(avatar_component_clause,[],[f2212]) ).

fof(f4185,plain,
    ( sK64 = sum(sum(n15,succ(sK70)),sum(pred(sK70),n1))
    | ~ spl122_650 ),
    inference(avatar_component_clause,[],[f4184]) ).

fof(f2581,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK64)))))))))))))))) = sK3
    | ~ spl122_513 ),
    inference(avatar_component_clause,[],[f2580]) ).

fof(f2189,plain,
    ( sum(pred(sK53),sum(succ(sK3),sum(pred(sK121),succ(sK46)))) = sK12
    | ~ spl122_415 ),
    inference(avatar_component_clause,[],[f2188]) ).

fof(f2409,plain,
    ( sK5 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12))))))))))))))))
    | ~ spl122_470 ),
    inference(avatar_component_clause,[],[f2408]) ).

fof(f4469,plain,
    ( spl122_666
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_512
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(avatar_split_clause,[],[f4449,f4402,f4398,f4296,f4184,f4170,f4166,f4064,f3967,f3952,f2580,f2576,f2452,f2212,f2188,f1827,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f4467]) ).

fof(f2576,plain,
    ( spl122_512
  <=> sK25 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_512])]) ).

fof(f4449,plain,
    ( n0 = sK25
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_512
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4448,f1032]) ).

fof(f4448,plain,
    ( pred(n1) = sK25
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_512
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4447,f1096]) ).

fof(f4447,plain,
    ( sK25 = pred(pred(n2))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_512
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4446,f1064]) ).

fof(f4446,plain,
    ( sK25 = pred(pred(pred(n3)))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_512
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4445,f1108]) ).

fof(f4445,plain,
    ( pred(pred(pred(pred(n4)))) = sK25
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_512
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4444,f1028]) ).

fof(f4444,plain,
    ( sK25 = pred(pred(pred(pred(pred(n5)))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_512
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4443,f1100]) ).

fof(f4443,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK25
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_512
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4442,f1048]) ).

fof(f4442,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK25
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_512
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4441,f1080]) ).

fof(f4441,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK25
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_512
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4440,f1104]) ).

fof(f4440,plain,
    ( sK25 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_512
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4439,f1068]) ).

fof(f4439,plain,
    ( sK25 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_512
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4438,f1076]) ).

fof(f4438,plain,
    ( sK25 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11)))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_512
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4437,f1120]) ).

fof(f4437,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK25
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_512
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4436,f1056]) ).

fof(f4436,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK25
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_512
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4435,f1084]) ).

fof(f4435,plain,
    ( sK25 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14))))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_512
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4434,f1020]) ).

fof(f4434,plain,
    ( sK25 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_512
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(forward_demodulation,[],[f4428,f1132]) ).

fof(f4428,plain,
    ( sK25 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_512
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(backward_demodulation,[],[f2577,f4427]) ).

fof(f2577,plain,
    ( sK25 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12))))))))))))))))
    | ~ spl122_512 ),
    inference(avatar_component_clause,[],[f2576]) ).

fof(f4433,plain,
    ( spl122_665
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_415
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650
    | ~ spl122_656
    | ~ spl122_660
    | ~ spl122_661 ),
    inference(avatar_split_clause,[],[f4427,f4402,f4398,f4296,f4184,f4170,f4166,f4064,f3967,f3952,f2580,f2452,f2212,f2188,f1827,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f4431]) ).

fof(f4418,plain,
    ( spl122_664
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_452
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(avatar_split_clause,[],[f4396,f4300,f4286,f4282,f4180,f4068,f4013,f4009,f3948,f3851,f3720,f3706,f3661,f3604,f3596,f2648,f2448,f2336,f2260,f2240,f2192,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4416]) ).

fof(f2336,plain,
    ( spl122_452
  <=> sK16 = sum(sum(pred(sK27),succ(sK12)),sum(pred(sK12),succ(sK27))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_452])]) ).

fof(f4396,plain,
    ( sK16 = sum(sum(n15,succ(sK12)),sum(pred(sK12),n1))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_452
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4395,f1132]) ).

fof(f4395,plain,
    ( sK16 = sum(sum(pred(n0),succ(sK12)),sum(pred(sK12),n1))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_452
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4358,f1088]) ).

fof(f4358,plain,
    ( sK16 = sum(sum(pred(n0),succ(sK12)),sum(pred(sK12),succ(n0)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_452
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(backward_demodulation,[],[f2337,f4323]) ).

fof(f2337,plain,
    ( sK16 = sum(sum(pred(sK27),succ(sK12)),sum(pred(sK12),succ(sK27)))
    | ~ spl122_452 ),
    inference(avatar_component_clause,[],[f2336]) ).

fof(f4414,plain,
    ( spl122_663
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_462
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(avatar_split_clause,[],[f4394,f4300,f4286,f4282,f4180,f4068,f4013,f4009,f3948,f3851,f3720,f3706,f3661,f3604,f3596,f2648,f2448,f2376,f2260,f2240,f2192,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4412]) ).

fof(f2376,plain,
    ( spl122_462
  <=> sK30 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK27)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_462])]) ).

fof(f4394,plain,
    ( n0 = sK30
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_462
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4393,f1016]) ).

fof(f4393,plain,
    ( succ(n15) = sK30
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_462
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4392,f1072]) ).

fof(f4392,plain,
    ( sK30 = succ(succ(n14))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_462
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4391,f1116]) ).

fof(f4391,plain,
    ( sK30 = succ(succ(succ(n13)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_462
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4390,f1044]) ).

fof(f4390,plain,
    ( sK30 = succ(succ(succ(succ(n12))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_462
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4389,f1024]) ).

fof(f4389,plain,
    ( sK30 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_462
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4388,f1112]) ).

fof(f4388,plain,
    ( sK30 = succ(succ(succ(succ(succ(succ(n10))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_462
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4387,f1040]) ).

fof(f4387,plain,
    ( sK30 = succ(succ(succ(succ(succ(succ(succ(n9)))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_462
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4386,f1124]) ).

fof(f4386,plain,
    ( sK30 = succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_462
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4385,f1060]) ).

fof(f4385,plain,
    ( sK30 = succ(succ(succ(succ(succ(succ(succ(succ(succ(n7)))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_462
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4384,f1128]) ).

fof(f4384,plain,
    ( sK30 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_462
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4383,f1136]) ).

fof(f4383,plain,
    ( sK30 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5)))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_462
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4382,f1092]) ).

fof(f4382,plain,
    ( sK30 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_462
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4381,f1052]) ).

fof(f4381,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK30
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_462
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4380,f1036]) ).

fof(f4380,plain,
    ( sK30 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_462
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4379,f1140]) ).

fof(f4379,plain,
    ( sK30 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1)))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_462
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(forward_demodulation,[],[f4357,f1088]) ).

fof(f4357,plain,
    ( sK30 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0))))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_462
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(backward_demodulation,[],[f2377,f4323]) ).

fof(f2377,plain,
    ( sK30 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK27))))))))))))))))
    | ~ spl122_462 ),
    inference(avatar_component_clause,[],[f2376]) ).

fof(f4409,plain,
    ( spl122_662
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_510
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(avatar_split_clause,[],[f4378,f4300,f4286,f4282,f4180,f4068,f4013,f4009,f3948,f3851,f3720,f3706,f3661,f3604,f3596,f2648,f2568,f2448,f2260,f2240,f2192,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f4407]) ).

fof(f4407,plain,
    ( spl122_662
  <=> n0 = sK54 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_662])]) ).

fof(f4404,plain,
    ( spl122_661
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_519
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(avatar_split_clause,[],[f4355,f4286,f4282,f4180,f4068,f4013,f4009,f3948,f3851,f3720,f3706,f3661,f3604,f3596,f2648,f2604,f2448,f2260,f2240,f2192,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4402]) ).

fof(f2604,plain,
    ( spl122_519
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10)))))))))))))))) = sK121 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_519])]) ).

fof(f4355,plain,
    ( n0 = sK121
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_519
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4354,f1016]) ).

fof(f4354,plain,
    ( succ(n15) = sK121
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_519
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4353,f1072]) ).

fof(f4353,plain,
    ( sK121 = succ(succ(n14))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_519
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4352,f1116]) ).

fof(f4352,plain,
    ( succ(succ(succ(n13))) = sK121
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_519
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4351,f1044]) ).

fof(f4351,plain,
    ( succ(succ(succ(succ(n12)))) = sK121
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_519
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4350,f1024]) ).

fof(f4350,plain,
    ( sK121 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_519
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4349,f1112]) ).

fof(f4349,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK121
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_519
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4348,f1040]) ).

fof(f4348,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n9))))))) = sK121
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_519
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4347,f1124]) ).

fof(f4347,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(n8)))))))) = sK121
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_519
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4346,f1060]) ).

fof(f4346,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n7))))))))) = sK121
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_519
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4345,f1128]) ).

fof(f4345,plain,
    ( sK121 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_519
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4344,f1136]) ).

fof(f4344,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5))))))))))) = sK121
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_519
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4343,f1092]) ).

fof(f4343,plain,
    ( sK121 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_519
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4342,f1052]) ).

fof(f4342,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK121
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_519
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4341,f1036]) ).

fof(f4341,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2)))))))))))))) = sK121
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_519
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4340,f1140]) ).

fof(f4340,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1))))))))))))))) = sK121
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_519
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4313,f1088]) ).

fof(f4313,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))))))))))) = sK121
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_519
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(backward_demodulation,[],[f2605,f4311]) ).

fof(f2605,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10)))))))))))))))) = sK121
    | ~ spl122_519 ),
    inference(avatar_component_clause,[],[f2604]) ).

fof(f4400,plain,
    ( spl122_660
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_482
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(avatar_split_clause,[],[f4339,f4286,f4282,f4180,f4068,f4013,f4009,f3948,f3851,f3720,f3706,f3661,f3604,f3596,f2648,f2456,f2448,f2260,f2240,f2192,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f4398]) ).

fof(f2456,plain,
    ( spl122_482
  <=> sK46 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_482])]) ).

fof(f4339,plain,
    ( n0 = sK46
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_482
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4338,f1032]) ).

fof(f4338,plain,
    ( pred(n1) = sK46
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_482
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4337,f1096]) ).

fof(f4337,plain,
    ( sK46 = pred(pred(n2))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_482
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4336,f1064]) ).

fof(f4336,plain,
    ( sK46 = pred(pred(pred(n3)))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_482
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4335,f1108]) ).

fof(f4335,plain,
    ( pred(pred(pred(pred(n4)))) = sK46
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_482
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4334,f1028]) ).

fof(f4334,plain,
    ( pred(pred(pred(pred(pred(n5))))) = sK46
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_482
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4333,f1100]) ).

fof(f4333,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK46
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_482
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4332,f1048]) ).

fof(f4332,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK46
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_482
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4331,f1080]) ).

fof(f4331,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK46
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_482
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4330,f1104]) ).

fof(f4330,plain,
    ( sK46 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_482
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4329,f1068]) ).

fof(f4329,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10)))))))))) = sK46
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_482
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4328,f1076]) ).

fof(f4328,plain,
    ( sK46 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11)))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_482
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4327,f1120]) ).

fof(f4327,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK46
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_482
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4326,f1056]) ).

fof(f4326,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK46
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_482
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4325,f1084]) ).

fof(f4325,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK46
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_482
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4324,f1020]) ).

fof(f4324,plain,
    ( sK46 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_482
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(forward_demodulation,[],[f4314,f1132]) ).

fof(f4314,plain,
    ( sK46 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_482
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(backward_demodulation,[],[f2457,f4311]) ).

fof(f2457,plain,
    ( sK46 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10))))))))))))))))
    | ~ spl122_482 ),
    inference(avatar_component_clause,[],[f2456]) ).

fof(f4362,plain,
    ( spl122_659
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654
    | ~ spl122_657 ),
    inference(avatar_split_clause,[],[f4323,f4300,f4286,f4282,f4180,f4068,f4013,f4009,f3948,f3851,f3720,f3706,f3661,f3604,f3596,f2648,f2448,f2260,f2240,f2192,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4360]) ).

fof(f4360,plain,
    ( spl122_659
  <=> n0 = sK27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_659])]) ).

fof(f4318,plain,
    ( spl122_658
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_428
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643
    | ~ spl122_649
    | ~ spl122_653
    | ~ spl122_654 ),
    inference(avatar_split_clause,[],[f4311,f4286,f4282,f4180,f4068,f4013,f4009,f3948,f3851,f3720,f3706,f3661,f3604,f3596,f2648,f2448,f2260,f2240,f2192,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4316]) ).

fof(f4316,plain,
    ( spl122_658
  <=> n0 = sK10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_658])]) ).

fof(f4302,plain,
    ( spl122_657
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_419
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(avatar_split_clause,[],[f4280,f4184,f4170,f4166,f4064,f3967,f3952,f2452,f2212,f2204,f1827,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f4300]) ).

fof(f2204,plain,
    ( spl122_419
  <=> sum(sum(pred(sK64),succ(sK10)),sum(pred(sK10),succ(sK64))) = sK27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_419])]) ).

fof(f4280,plain,
    ( sum(sum(n15,succ(sK10)),sum(pred(sK10),n1)) = sK27
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_419
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4279,f1132]) ).

fof(f4279,plain,
    ( sum(sum(pred(n0),succ(sK10)),sum(pred(sK10),n1)) = sK27
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_419
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4242,f1088]) ).

fof(f4242,plain,
    ( sum(sum(pred(n0),succ(sK10)),sum(pred(sK10),succ(n0))) = sK27
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_419
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(backward_demodulation,[],[f2205,f4207]) ).

fof(f2205,plain,
    ( sum(sum(pred(sK64),succ(sK10)),sum(pred(sK10),succ(sK64))) = sK27
    | ~ spl122_419 ),
    inference(avatar_component_clause,[],[f2204]) ).

fof(f4298,plain,
    ( spl122_656
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_459
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(avatar_split_clause,[],[f4278,f4184,f4170,f4166,f4064,f3967,f3952,f2452,f2364,f2212,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f4296]) ).

fof(f2364,plain,
    ( spl122_459
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK64)))))))))))))))) = sK53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_459])]) ).

fof(f4278,plain,
    ( n0 = sK53
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_459
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4277,f1016]) ).

fof(f4277,plain,
    ( succ(n15) = sK53
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_459
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4276,f1072]) ).

fof(f4276,plain,
    ( succ(succ(n14)) = sK53
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_459
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4275,f1116]) ).

fof(f4275,plain,
    ( succ(succ(succ(n13))) = sK53
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_459
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4274,f1044]) ).

fof(f4274,plain,
    ( succ(succ(succ(succ(n12)))) = sK53
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_459
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4273,f1024]) ).

fof(f4273,plain,
    ( succ(succ(succ(succ(succ(n11))))) = sK53
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_459
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4272,f1112]) ).

fof(f4272,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK53
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_459
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4271,f1040]) ).

fof(f4271,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n9))))))) = sK53
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_459
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4270,f1124]) ).

fof(f4270,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(n8)))))))) = sK53
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_459
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4269,f1060]) ).

fof(f4269,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n7))))))))) = sK53
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_459
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4268,f1128]) ).

fof(f4268,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6)))))))))) = sK53
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_459
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4267,f1136]) ).

fof(f4267,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5))))))))))) = sK53
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_459
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4266,f1092]) ).

fof(f4266,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4)))))))))))) = sK53
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_459
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4265,f1052]) ).

fof(f4265,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK53
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_459
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4264,f1036]) ).

fof(f4264,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2)))))))))))))) = sK53
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_459
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4263,f1140]) ).

fof(f4263,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1))))))))))))))) = sK53
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_459
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(forward_demodulation,[],[f4241,f1088]) ).

fof(f4241,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))))))))))) = sK53
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_459
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(backward_demodulation,[],[f2365,f4207]) ).

fof(f2365,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK64)))))))))))))))) = sK53
    | ~ spl122_459 ),
    inference(avatar_component_clause,[],[f2364]) ).

fof(f4293,plain,
    ( spl122_655
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_513
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(avatar_split_clause,[],[f4262,f4184,f4170,f4166,f4064,f3967,f3952,f2580,f2452,f2212,f1827,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f4291]) ).

fof(f4291,plain,
    ( spl122_655
  <=> n0 = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_655])]) ).

fof(f4288,plain,
    ( spl122_654
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_506
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(avatar_split_clause,[],[f4239,f4170,f4166,f4064,f3967,f3952,f2552,f2452,f2212,f1827,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f4286]) ).

fof(f2552,plain,
    ( spl122_506
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK70)))))))))))))))) = sK50 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_506])]) ).

fof(f4239,plain,
    ( n0 = sK50
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_506
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4238,f1032]) ).

fof(f4238,plain,
    ( pred(n1) = sK50
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_506
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4237,f1096]) ).

fof(f4237,plain,
    ( sK50 = pred(pred(n2))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_506
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4236,f1064]) ).

fof(f4236,plain,
    ( pred(pred(pred(n3))) = sK50
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_506
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4235,f1108]) ).

fof(f4235,plain,
    ( pred(pred(pred(pred(n4)))) = sK50
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_506
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4234,f1028]) ).

fof(f4234,plain,
    ( pred(pred(pred(pred(pred(n5))))) = sK50
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_506
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4233,f1100]) ).

fof(f4233,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK50
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_506
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4232,f1048]) ).

fof(f4232,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK50
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_506
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4231,f1080]) ).

fof(f4231,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK50
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_506
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4230,f1104]) ).

fof(f4230,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(n9))))))))) = sK50
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_506
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4229,f1068]) ).

fof(f4229,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10)))))))))) = sK50
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_506
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4228,f1076]) ).

fof(f4228,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11))))))))))) = sK50
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_506
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4227,f1120]) ).

fof(f4227,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK50
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_506
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4226,f1056]) ).

fof(f4226,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK50
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_506
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4225,f1084]) ).

fof(f4225,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK50
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_506
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4224,f1020]) ).

fof(f4224,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15))))))))))))))) = sK50
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_506
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4197,f1132]) ).

fof(f4197,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0)))))))))))))))) = sK50
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_506
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(backward_demodulation,[],[f2553,f4195]) ).

fof(f2553,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK70)))))))))))))))) = sK50
    | ~ spl122_506 ),
    inference(avatar_component_clause,[],[f2552]) ).

fof(f4284,plain,
    ( spl122_653
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_478
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(avatar_split_clause,[],[f4223,f4170,f4166,f4064,f3967,f3952,f2452,f2440,f2212,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f4282]) ).

fof(f2440,plain,
    ( spl122_478
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK70)))))))))))))))) = sK87 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_478])]) ).

fof(f4223,plain,
    ( n0 = sK87
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_478
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4222,f1016]) ).

fof(f4222,plain,
    ( succ(n15) = sK87
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_478
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4221,f1072]) ).

fof(f4221,plain,
    ( succ(succ(n14)) = sK87
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_478
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4220,f1116]) ).

fof(f4220,plain,
    ( succ(succ(succ(n13))) = sK87
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_478
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4219,f1044]) ).

fof(f4219,plain,
    ( succ(succ(succ(succ(n12)))) = sK87
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_478
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4218,f1024]) ).

fof(f4218,plain,
    ( succ(succ(succ(succ(succ(n11))))) = sK87
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_478
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4217,f1112]) ).

fof(f4217,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK87
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_478
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4216,f1040]) ).

fof(f4216,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n9))))))) = sK87
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_478
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4215,f1124]) ).

fof(f4215,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(n8)))))))) = sK87
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_478
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4214,f1060]) ).

fof(f4214,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n7))))))))) = sK87
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_478
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4213,f1128]) ).

fof(f4213,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6)))))))))) = sK87
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_478
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4212,f1136]) ).

fof(f4212,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5))))))))))) = sK87
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_478
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4211,f1092]) ).

fof(f4211,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4)))))))))))) = sK87
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_478
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4210,f1052]) ).

fof(f4210,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK87
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_478
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4209,f1036]) ).

fof(f4209,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2)))))))))))))) = sK87
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_478
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4208,f1140]) ).

fof(f4208,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1))))))))))))))) = sK87
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_478
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(forward_demodulation,[],[f4198,f1088]) ).

fof(f4198,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))))))))))) = sK87
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_478
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(backward_demodulation,[],[f2441,f4195]) ).

fof(f2441,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK70)))))))))))))))) = sK87
    | ~ spl122_478 ),
    inference(avatar_component_clause,[],[f2440]) ).

fof(f4246,plain,
    ( spl122_652
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647
    | ~ spl122_650 ),
    inference(avatar_split_clause,[],[f4207,f4184,f4170,f4166,f4064,f3967,f3952,f2452,f2212,f1827,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f4244]) ).

fof(f4244,plain,
    ( spl122_652
  <=> n0 = sK64 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_652])]) ).

fof(f4202,plain,
    ( spl122_651
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_421
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637
    | ~ spl122_642
    | ~ spl122_646
    | ~ spl122_647 ),
    inference(avatar_split_clause,[],[f4195,f4170,f4166,f4064,f3967,f3952,f2452,f2212,f1827,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f4200]) ).

fof(f4200,plain,
    ( spl122_651
  <=> n0 = sK70 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_651])]) ).

fof(f4186,plain,
    ( spl122_650
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_422
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(avatar_split_clause,[],[f4148,f4068,f4013,f4009,f3948,f3851,f3720,f3706,f3661,f3604,f3596,f2648,f2260,f2216,f2192,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4184]) ).

fof(f2216,plain,
    ( spl122_422
  <=> sK64 = sum(sum(pred(sK102),succ(sK70)),sum(pred(sK70),succ(sK102))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_422])]) ).

fof(f4148,plain,
    ( sK64 = sum(sum(n15,succ(sK70)),sum(pred(sK70),n1))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_422
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4147,f1132]) ).

fof(f4147,plain,
    ( sK64 = sum(sum(pred(n0),succ(sK70)),sum(pred(sK70),n1))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_422
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4126,f1088]) ).

fof(f4126,plain,
    ( sK64 = sum(sum(pred(n0),succ(sK70)),sum(pred(sK70),succ(n0)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_422
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(backward_demodulation,[],[f2217,f4091]) ).

fof(f2217,plain,
    ( sK64 = sum(sum(pred(sK102),succ(sK70)),sum(pred(sK70),succ(sK102)))
    | ~ spl122_422 ),
    inference(avatar_component_clause,[],[f2216]) ).

fof(f4182,plain,
    ( spl122_649
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_487
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(avatar_split_clause,[],[f4164,f4068,f4013,f4009,f3948,f3851,f3720,f3706,f3661,f3604,f3596,f2648,f2476,f2260,f2192,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f4180]) ).

fof(f2476,plain,
    ( spl122_487
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK102)))))))))))))))) = sK57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_487])]) ).

fof(f4164,plain,
    ( n0 = sK57
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_487
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4163,f1032]) ).

fof(f4163,plain,
    ( pred(n1) = sK57
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_487
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4162,f1096]) ).

fof(f4162,plain,
    ( sK57 = pred(pred(n2))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_487
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4161,f1064]) ).

fof(f4161,plain,
    ( pred(pred(pred(n3))) = sK57
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_487
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4160,f1108]) ).

fof(f4160,plain,
    ( pred(pred(pred(pred(n4)))) = sK57
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_487
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4159,f1028]) ).

fof(f4159,plain,
    ( pred(pred(pred(pred(pred(n5))))) = sK57
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_487
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4158,f1100]) ).

fof(f4158,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK57
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_487
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4157,f1048]) ).

fof(f4157,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK57
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_487
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4156,f1080]) ).

fof(f4156,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK57
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_487
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4155,f1104]) ).

fof(f4155,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(n9))))))))) = sK57
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_487
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4154,f1068]) ).

fof(f4154,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10)))))))))) = sK57
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_487
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4153,f1076]) ).

fof(f4153,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11))))))))))) = sK57
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_487
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4152,f1120]) ).

fof(f4152,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK57
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_487
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4151,f1056]) ).

fof(f4151,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK57
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_487
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4150,f1084]) ).

fof(f4150,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK57
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_487
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4149,f1020]) ).

fof(f4149,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15))))))))))))))) = sK57
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_487
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(forward_demodulation,[],[f4124,f1132]) ).

fof(f4124,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0)))))))))))))))) = sK57
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_487
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(backward_demodulation,[],[f2477,f4091]) ).

fof(f2477,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK102)))))))))))))))) = sK57
    | ~ spl122_487 ),
    inference(avatar_component_clause,[],[f2476]) ).

fof(f4177,plain,
    ( spl122_648
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_480
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(avatar_split_clause,[],[f4146,f4068,f4013,f4009,f3948,f3851,f3720,f3706,f3661,f3604,f3596,f2648,f2448,f2260,f2192,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4175]) ).

fof(f4175,plain,
    ( spl122_648
  <=> n0 = sK101 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_648])]) ).

fof(f4172,plain,
    ( spl122_647
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_468
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(avatar_split_clause,[],[f4123,f4013,f4009,f3948,f3851,f3720,f3706,f3661,f3604,f3596,f2648,f2400,f2260,f2192,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f4170]) ).

fof(f2400,plain,
    ( spl122_468
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK74)))))))))))))))) = sK82 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_468])]) ).

fof(f4123,plain,
    ( n0 = sK82
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_468
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4122,f1032]) ).

fof(f4122,plain,
    ( pred(n1) = sK82
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_468
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4121,f1096]) ).

fof(f4121,plain,
    ( sK82 = pred(pred(n2))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_468
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4120,f1064]) ).

fof(f4120,plain,
    ( sK82 = pred(pred(pred(n3)))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_468
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4119,f1108]) ).

fof(f4119,plain,
    ( pred(pred(pred(pred(n4)))) = sK82
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_468
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4118,f1028]) ).

fof(f4118,plain,
    ( sK82 = pred(pred(pred(pred(pred(n5)))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_468
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4117,f1100]) ).

fof(f4117,plain,
    ( sK82 = pred(pred(pred(pred(pred(pred(n6))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_468
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4116,f1048]) ).

fof(f4116,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK82
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_468
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4115,f1080]) ).

fof(f4115,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK82
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_468
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4114,f1104]) ).

fof(f4114,plain,
    ( sK82 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_468
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4113,f1068]) ).

fof(f4113,plain,
    ( sK82 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_468
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4112,f1076]) ).

fof(f4112,plain,
    ( sK82 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11)))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_468
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4111,f1120]) ).

fof(f4111,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK82
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_468
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4110,f1056]) ).

fof(f4110,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK82
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_468
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4109,f1084]) ).

fof(f4109,plain,
    ( sK82 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14))))))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_468
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4108,f1020]) ).

fof(f4108,plain,
    ( sK82 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_468
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4081,f1132]) ).

fof(f4081,plain,
    ( sK82 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_468
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(backward_demodulation,[],[f2401,f4079]) ).

fof(f2401,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK74)))))))))))))))) = sK82
    | ~ spl122_468 ),
    inference(avatar_component_clause,[],[f2400]) ).

fof(f4168,plain,
    ( spl122_646
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_458
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(avatar_split_clause,[],[f4107,f4013,f4009,f3948,f3851,f3720,f3706,f3661,f3604,f3596,f2648,f2360,f2260,f2192,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4166]) ).

fof(f2360,plain,
    ( spl122_458
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK74)))))))))))))))) = sK11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_458])]) ).

fof(f4107,plain,
    ( n0 = sK11
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_458
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4106,f1016]) ).

fof(f4106,plain,
    ( succ(n15) = sK11
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_458
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4105,f1072]) ).

fof(f4105,plain,
    ( succ(succ(n14)) = sK11
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_458
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4104,f1116]) ).

fof(f4104,plain,
    ( succ(succ(succ(n13))) = sK11
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_458
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4103,f1044]) ).

fof(f4103,plain,
    ( succ(succ(succ(succ(n12)))) = sK11
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_458
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4102,f1024]) ).

fof(f4102,plain,
    ( succ(succ(succ(succ(succ(n11))))) = sK11
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_458
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4101,f1112]) ).

fof(f4101,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK11
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_458
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4100,f1040]) ).

fof(f4100,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n9))))))) = sK11
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_458
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4099,f1124]) ).

fof(f4099,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(n8)))))))) = sK11
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_458
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4098,f1060]) ).

fof(f4098,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n7))))))))) = sK11
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_458
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4097,f1128]) ).

fof(f4097,plain,
    ( sK11 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_458
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4096,f1136]) ).

fof(f4096,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5))))))))))) = sK11
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_458
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4095,f1092]) ).

fof(f4095,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4)))))))))))) = sK11
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_458
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4094,f1052]) ).

fof(f4094,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK11
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_458
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4093,f1036]) ).

fof(f4093,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2)))))))))))))) = sK11
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_458
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4092,f1140]) ).

fof(f4092,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1))))))))))))))) = sK11
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_458
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(forward_demodulation,[],[f4082,f1088]) ).

fof(f4082,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))))))))))) = sK11
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_458
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(backward_demodulation,[],[f2361,f4079]) ).

fof(f2361,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK74)))))))))))))))) = sK11
    | ~ spl122_458 ),
    inference(avatar_component_clause,[],[f2360]) ).

fof(f4130,plain,
    ( spl122_645
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639
    | ~ spl122_643 ),
    inference(avatar_split_clause,[],[f4091,f4068,f4013,f4009,f3948,f3851,f3720,f3706,f3661,f3604,f3596,f2648,f2260,f2192,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4128]) ).

fof(f4128,plain,
    ( spl122_645
  <=> n0 = sK102 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_645])]) ).

fof(f4086,plain,
    ( spl122_644
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_416
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630
    | ~ spl122_635
    | ~ spl122_638
    | ~ spl122_639 ),
    inference(avatar_split_clause,[],[f4079,f4013,f4009,f3948,f3851,f3720,f3706,f3661,f3604,f3596,f2648,f2260,f2192,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4084]) ).

fof(f4084,plain,
    ( spl122_644
  <=> n0 = sK74 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_644])]) ).

fof(f4070,plain,
    ( spl122_643
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_438
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(avatar_split_clause,[],[f4056,f3967,f3952,f2280,f1827,f1263,f1131,f1087,f4068]) ).

fof(f2280,plain,
    ( spl122_438
  <=> sum(sum(pred(sK58),succ(sK74)),sum(pred(sK74),succ(sK58))) = sK102 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_438])]) ).

fof(f4056,plain,
    ( sum(sum(n15,succ(sK74)),sum(pred(sK74),n1)) = sK102
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_438
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4055,f1132]) ).

fof(f4055,plain,
    ( sum(sum(pred(n0),succ(sK74)),sum(pred(sK74),n1)) = sK102
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_438
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4018,f1088]) ).

fof(f4018,plain,
    ( sum(sum(pred(n0),succ(sK74)),sum(pred(sK74),succ(n0))) = sK102
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_438
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(backward_demodulation,[],[f2281,f4007]) ).

fof(f2281,plain,
    ( sum(sum(pred(sK58),succ(sK74)),sum(pred(sK74),succ(sK58))) = sK102
    | ~ spl122_438 ),
    inference(avatar_component_clause,[],[f2280]) ).

fof(f4066,plain,
    ( spl122_642
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_520
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(avatar_split_clause,[],[f4054,f3967,f3952,f2608,f1827,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4064]) ).

fof(f2608,plain,
    ( spl122_520
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK58)))))))))))))))) = sK118 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_520])]) ).

fof(f4054,plain,
    ( n0 = sK118
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_520
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4053,f1016]) ).

fof(f4053,plain,
    ( succ(n15) = sK118
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_520
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4052,f1072]) ).

fof(f4052,plain,
    ( sK118 = succ(succ(n14))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_520
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4051,f1116]) ).

fof(f4051,plain,
    ( succ(succ(succ(n13))) = sK118
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_520
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4050,f1044]) ).

fof(f4050,plain,
    ( succ(succ(succ(succ(n12)))) = sK118
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_520
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4049,f1024]) ).

fof(f4049,plain,
    ( sK118 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_520
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4048,f1112]) ).

fof(f4048,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK118
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_520
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4047,f1040]) ).

fof(f4047,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n9))))))) = sK118
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_520
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4046,f1124]) ).

fof(f4046,plain,
    ( sK118 = succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_520
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4045,f1060]) ).

fof(f4045,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n7))))))))) = sK118
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_520
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4044,f1128]) ).

fof(f4044,plain,
    ( sK118 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_520
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4043,f1136]) ).

fof(f4043,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5))))))))))) = sK118
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_520
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4042,f1092]) ).

fof(f4042,plain,
    ( sK118 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_520
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4041,f1052]) ).

fof(f4041,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK118
    | ~ spl122_126
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_520
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4040,f1036]) ).

fof(f4040,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2)))))))))))))) = sK118
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_520
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4039,f1140]) ).

fof(f4039,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1))))))))))))))) = sK118
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_520
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(forward_demodulation,[],[f4016,f1088]) ).

fof(f4016,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))))))))))) = sK118
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_520
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(backward_demodulation,[],[f2609,f4007]) ).

fof(f2609,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK58)))))))))))))))) = sK118
    | ~ spl122_520 ),
    inference(avatar_component_clause,[],[f2608]) ).

fof(f4061,plain,
    ( spl122_641
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_481
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(avatar_split_clause,[],[f4038,f3967,f3952,f2452,f1827,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f4059]) ).

fof(f4059,plain,
    ( spl122_641
  <=> n0 = sK81 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_641])]) ).

fof(f4022,plain,
    ( spl122_640
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_636
    | ~ spl122_637 ),
    inference(avatar_split_clause,[],[f4007,f3967,f3952,f1827,f1263,f1131,f1087,f4020]) ).

fof(f4020,plain,
    ( spl122_640
  <=> n0 = sK58 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_640])]) ).

fof(f4015,plain,
    ( spl122_639
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_473
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(avatar_split_clause,[],[f4001,f3891,f3887,f3838,f3720,f3706,f3661,f3604,f3596,f2420,f2368,f2304,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f4013]) ).

fof(f2304,plain,
    ( spl122_444
  <=> sK65 = sum(pred(sK38),sum(succ(sK36),sum(pred(sK29),succ(sK18)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_444])]) ).

fof(f2368,plain,
    ( spl122_460
  <=> sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK26)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_460])]) ).

fof(f2420,plain,
    ( spl122_473
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK65)))))))))))))))) = sK67 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_473])]) ).

fof(f3838,plain,
    ( spl122_629
  <=> n0 = sK36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_629])]) ).

fof(f3887,plain,
    ( spl122_631
  <=> n0 = sK18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_631])]) ).

fof(f3891,plain,
    ( spl122_632
  <=> n0 = sK29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_632])]) ).

fof(f4001,plain,
    ( n0 = sK67
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_473
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f4000,f1016]) ).

fof(f4000,plain,
    ( succ(n15) = sK67
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_473
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3999,f1072]) ).

fof(f3999,plain,
    ( sK67 = succ(succ(n14))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_473
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3998,f1116]) ).

fof(f3998,plain,
    ( sK67 = succ(succ(succ(n13)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_473
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3997,f1044]) ).

fof(f3997,plain,
    ( sK67 = succ(succ(succ(succ(n12))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_473
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3996,f1024]) ).

fof(f3996,plain,
    ( sK67 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_473
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3995,f1112]) ).

fof(f3995,plain,
    ( sK67 = succ(succ(succ(succ(succ(succ(n10))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_473
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3994,f1040]) ).

fof(f3994,plain,
    ( sK67 = succ(succ(succ(succ(succ(succ(succ(n9)))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_473
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3993,f1124]) ).

fof(f3993,plain,
    ( sK67 = succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_473
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3992,f1060]) ).

fof(f3992,plain,
    ( sK67 = succ(succ(succ(succ(succ(succ(succ(succ(succ(n7)))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_473
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3991,f1128]) ).

fof(f3991,plain,
    ( sK67 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_473
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3990,f1136]) ).

fof(f3990,plain,
    ( sK67 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5)))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_473
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3989,f1092]) ).

fof(f3989,plain,
    ( sK67 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_473
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3988,f1052]) ).

fof(f3988,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK67
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_473
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3987,f1036]) ).

fof(f3987,plain,
    ( sK67 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_473
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3986,f1140]) ).

fof(f3986,plain,
    ( sK67 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1)))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_473
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3965,f1088]) ).

fof(f3965,plain,
    ( sK67 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0))))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_473
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(backward_demodulation,[],[f2421,f3963]) ).

fof(f3963,plain,
    ( n0 = sK65
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3962,f1264]) ).

fof(f3962,plain,
    ( sum(n15,n1) = sK65
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3961,f1424]) ).

fof(f3961,plain,
    ( sK65 = sum(n15,sum(n1,n0))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3960,f1264]) ).

fof(f3960,plain,
    ( sum(n15,sum(n1,sum(n15,n1))) = sK65
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3959,f1132]) ).

fof(f3959,plain,
    ( sK65 = sum(n15,sum(n1,sum(pred(n0),n1)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3958,f3892]) ).

fof(f3892,plain,
    ( n0 = sK29
    | ~ spl122_632 ),
    inference(avatar_component_clause,[],[f3891]) ).

fof(f3958,plain,
    ( sK65 = sum(n15,sum(n1,sum(pred(sK29),n1)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631 ),
    inference(forward_demodulation,[],[f3957,f1088]) ).

fof(f3957,plain,
    ( sK65 = sum(n15,sum(succ(n0),sum(pred(sK29),n1)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631 ),
    inference(forward_demodulation,[],[f3956,f3839]) ).

fof(f3839,plain,
    ( n0 = sK36
    | ~ spl122_629 ),
    inference(avatar_component_clause,[],[f3838]) ).

fof(f3956,plain,
    ( sK65 = sum(n15,sum(succ(sK36),sum(pred(sK29),n1)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_631 ),
    inference(forward_demodulation,[],[f3955,f1088]) ).

fof(f3955,plain,
    ( sK65 = sum(n15,sum(succ(sK36),sum(pred(sK29),succ(n0))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_631 ),
    inference(forward_demodulation,[],[f3836,f3888]) ).

fof(f3888,plain,
    ( n0 = sK18
    | ~ spl122_631 ),
    inference(avatar_component_clause,[],[f3887]) ).

fof(f3836,plain,
    ( sK65 = sum(n15,sum(succ(sK36),sum(pred(sK29),succ(sK18))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3831,f1132]) ).

fof(f3831,plain,
    ( sK65 = sum(pred(n0),sum(succ(sK36),sum(pred(sK29),succ(sK18))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(backward_demodulation,[],[f2305,f3810]) ).

fof(f3810,plain,
    ( n0 = sK38
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3809,f1016]) ).

fof(f3809,plain,
    ( succ(n15) = sK38
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3808,f1072]) ).

fof(f3808,plain,
    ( sK38 = succ(succ(n14))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3807,f1116]) ).

fof(f3807,plain,
    ( sK38 = succ(succ(succ(n13)))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3806,f1044]) ).

fof(f3806,plain,
    ( sK38 = succ(succ(succ(succ(n12))))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3805,f1024]) ).

fof(f3805,plain,
    ( sK38 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3804,f1112]) ).

fof(f3804,plain,
    ( sK38 = succ(succ(succ(succ(succ(succ(n10))))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3803,f1040]) ).

fof(f3803,plain,
    ( sK38 = succ(succ(succ(succ(succ(succ(succ(n9)))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3802,f1124]) ).

fof(f3802,plain,
    ( sK38 = succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3801,f1060]) ).

fof(f3801,plain,
    ( sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(n7)))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3800,f1128]) ).

fof(f3800,plain,
    ( sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3799,f1136]) ).

fof(f3799,plain,
    ( sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5)))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3798,f1092]) ).

fof(f3798,plain,
    ( sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3797,f1052]) ).

fof(f3797,plain,
    ( sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3)))))))))))))
    | ~ spl122_126
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3796,f1036]) ).

fof(f3796,plain,
    ( sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3795,f1140]) ).

fof(f3795,plain,
    ( sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1)))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3787,f1088]) ).

fof(f3787,plain,
    ( sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0))))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(backward_demodulation,[],[f2369,f3765]) ).

fof(f2369,plain,
    ( sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK26))))))))))))))))
    | ~ spl122_460 ),
    inference(avatar_component_clause,[],[f2368]) ).

fof(f2305,plain,
    ( sK65 = sum(pred(sK38),sum(succ(sK36),sum(pred(sK29),succ(sK18))))
    | ~ spl122_444 ),
    inference(avatar_component_clause,[],[f2304]) ).

fof(f2421,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK65)))))))))))))))) = sK67
    | ~ spl122_473 ),
    inference(avatar_component_clause,[],[f2420]) ).

fof(f4011,plain,
    ( spl122_638
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_489
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(avatar_split_clause,[],[f3985,f3891,f3887,f3838,f3720,f3706,f3661,f3604,f3596,f2484,f2368,f2304,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f4009]) ).

fof(f2484,plain,
    ( spl122_489
  <=> sK1 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK65)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_489])]) ).

fof(f3985,plain,
    ( n0 = sK1
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_489
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3984,f1032]) ).

fof(f3984,plain,
    ( pred(n1) = sK1
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_489
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3983,f1096]) ).

fof(f3983,plain,
    ( sK1 = pred(pred(n2))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_489
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3982,f1064]) ).

fof(f3982,plain,
    ( sK1 = pred(pred(pred(n3)))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_489
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3981,f1108]) ).

fof(f3981,plain,
    ( pred(pred(pred(pred(n4)))) = sK1
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_489
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3980,f1028]) ).

fof(f3980,plain,
    ( sK1 = pred(pred(pred(pred(pred(n5)))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_489
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3979,f1100]) ).

fof(f3979,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK1
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_489
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3978,f1048]) ).

fof(f3978,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK1
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_489
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3977,f1080]) ).

fof(f3977,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK1
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_489
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3976,f1104]) ).

fof(f3976,plain,
    ( sK1 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_489
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3975,f1068]) ).

fof(f3975,plain,
    ( sK1 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_489
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3974,f1076]) ).

fof(f3974,plain,
    ( sK1 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11)))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_489
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3973,f1120]) ).

fof(f3973,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK1
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_489
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3972,f1056]) ).

fof(f3972,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK1
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_489
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3971,f1084]) ).

fof(f3971,plain,
    ( sK1 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14))))))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_489
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3970,f1020]) ).

fof(f3970,plain,
    ( sK1 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_489
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(forward_demodulation,[],[f3964,f1132]) ).

fof(f3964,plain,
    ( sK1 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_489
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(backward_demodulation,[],[f2485,f3963]) ).

fof(f2485,plain,
    ( sK1 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK65))))))))))))))))
    | ~ spl122_489 ),
    inference(avatar_component_clause,[],[f2484]) ).

fof(f3969,plain,
    ( spl122_637
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_444
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_629
    | ~ spl122_631
    | ~ spl122_632 ),
    inference(avatar_split_clause,[],[f3963,f3891,f3887,f3838,f3720,f3706,f3661,f3604,f3596,f2368,f2304,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f3967]) ).

fof(f3954,plain,
    ( spl122_636
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_442
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(avatar_split_clause,[],[f3940,f3851,f3720,f3706,f3661,f3604,f3596,f2296,f2260,f1827,f1423,f1263,f1131,f1087,f3952]) ).

fof(f2296,plain,
    ( spl122_442
  <=> sum(sum(pred(sK0),succ(sK65)),sum(pred(sK65),succ(sK0))) = sK58 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_442])]) ).

fof(f3940,plain,
    ( sK58 = sum(sum(n15,succ(sK65)),sum(pred(sK65),n1))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_442
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3939,f1132]) ).

fof(f3939,plain,
    ( sum(sum(pred(n0),succ(sK65)),sum(pred(sK65),n1)) = sK58
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_442
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3902,f1088]) ).

fof(f3902,plain,
    ( sum(sum(pred(n0),succ(sK65)),sum(pred(sK65),succ(n0))) = sK58
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_442
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(backward_demodulation,[],[f2297,f3899]) ).

fof(f2297,plain,
    ( sum(sum(pred(sK0),succ(sK65)),sum(pred(sK65),succ(sK0))) = sK58
    | ~ spl122_442 ),
    inference(avatar_component_clause,[],[f2296]) ).

fof(f3950,plain,
    ( spl122_635
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_521
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(avatar_split_clause,[],[f3938,f3851,f3720,f3706,f3661,f3604,f3596,f2612,f2260,f1827,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f3948]) ).

fof(f2612,plain,
    ( spl122_521
  <=> sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_521])]) ).

fof(f3938,plain,
    ( n0 = sK32
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_521
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3937,f1032]) ).

fof(f3937,plain,
    ( pred(n1) = sK32
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_521
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3936,f1096]) ).

fof(f3936,plain,
    ( sK32 = pred(pred(n2))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_521
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3935,f1064]) ).

fof(f3935,plain,
    ( sK32 = pred(pred(pred(n3)))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_521
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3934,f1108]) ).

fof(f3934,plain,
    ( pred(pred(pred(pred(n4)))) = sK32
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_521
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3933,f1028]) ).

fof(f3933,plain,
    ( sK32 = pred(pred(pred(pred(pred(n5)))))
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_521
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3932,f1100]) ).

fof(f3932,plain,
    ( sK32 = pred(pred(pred(pred(pred(pred(n6))))))
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_521
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3931,f1048]) ).

fof(f3931,plain,
    ( sK32 = pred(pred(pred(pred(pred(pred(pred(n7)))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_521
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3930,f1080]) ).

fof(f3930,plain,
    ( sK32 = pred(pred(pred(pred(pred(pred(pred(pred(n8))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_521
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3929,f1104]) ).

fof(f3929,plain,
    ( sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_521
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3928,f1068]) ).

fof(f3928,plain,
    ( sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10))))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_521
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3927,f1076]) ).

fof(f3927,plain,
    ( sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11)))))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_521
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3926,f1120]) ).

fof(f3926,plain,
    ( sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12))))))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_521
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3925,f1056]) ).

fof(f3925,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK32
    | ~ spl122_122
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_521
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3924,f1084]) ).

fof(f3924,plain,
    ( sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14))))))))))))))
    | ~ spl122_122
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_521
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3923,f1020]) ).

fof(f3923,plain,
    ( sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_521
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(forward_demodulation,[],[f3901,f1132]) ).

fof(f3901,plain,
    ( sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_521
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(backward_demodulation,[],[f2613,f3899]) ).

fof(f2613,plain,
    ( sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0))))))))))))))))
    | ~ spl122_521 ),
    inference(avatar_component_clause,[],[f2612]) ).

fof(f3945,plain,
    ( spl122_634
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_530
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(avatar_split_clause,[],[f3922,f3851,f3720,f3706,f3661,f3604,f3596,f2648,f2260,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f3943]) ).

fof(f3943,plain,
    ( spl122_634
  <=> n0 = sK107 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_634])]) ).

fof(f3906,plain,
    ( spl122_633
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_433
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622
    | ~ spl122_630 ),
    inference(avatar_split_clause,[],[f3899,f3851,f3720,f3706,f3661,f3604,f3596,f2260,f1827,f1423,f1263,f1131,f1087,f3904]) ).

fof(f3904,plain,
    ( spl122_633
  <=> n0 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_633])]) ).

fof(f3893,plain,
    ( spl122_632
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_476
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(avatar_split_clause,[],[f3885,f3828,f3783,f3724,f3716,f2432,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f3891]) ).

fof(f2432,plain,
    ( spl122_476
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK41)))))))))))))))) = sK29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_476])]) ).

fof(f3716,plain,
    ( spl122_621
  <=> n0 = sK119 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_621])]) ).

fof(f3724,plain,
    ( spl122_623
  <=> sum(n15,sum(succ(sK119),sum(pred(sK44),succ(sK72)))) = sK41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_623])]) ).

fof(f3783,plain,
    ( spl122_625
  <=> n0 = sK72 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_625])]) ).

fof(f3828,plain,
    ( spl122_627
  <=> n0 = sK44 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_627])]) ).

fof(f3885,plain,
    ( n0 = sK29
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_476
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3884,f1016]) ).

fof(f3884,plain,
    ( succ(n15) = sK29
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_476
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3883,f1072]) ).

fof(f3883,plain,
    ( sK29 = succ(succ(n14))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_476
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3882,f1116]) ).

fof(f3882,plain,
    ( succ(succ(succ(n13))) = sK29
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_476
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3881,f1044]) ).

fof(f3881,plain,
    ( succ(succ(succ(succ(n12)))) = sK29
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_476
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3880,f1024]) ).

fof(f3880,plain,
    ( sK29 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_476
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3879,f1112]) ).

fof(f3879,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK29
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_476
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3878,f1040]) ).

fof(f3878,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n9))))))) = sK29
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_476
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3877,f1124]) ).

fof(f3877,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(n8)))))))) = sK29
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_476
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3876,f1060]) ).

fof(f3876,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n7))))))))) = sK29
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_476
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3875,f1128]) ).

fof(f3875,plain,
    ( sK29 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_476
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3874,f1136]) ).

fof(f3874,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5))))))))))) = sK29
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_476
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3873,f1092]) ).

fof(f3873,plain,
    ( sK29 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_476
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3872,f1052]) ).

fof(f3872,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK29
    | ~ spl122_126
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_476
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3871,f1036]) ).

fof(f3871,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2)))))))))))))) = sK29
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_476
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3870,f1140]) ).

fof(f3870,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1))))))))))))))) = sK29
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_476
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3849,f1088]) ).

fof(f3849,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))))))))))) = sK29
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_476
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(backward_demodulation,[],[f2433,f3847]) ).

fof(f3847,plain,
    ( n0 = sK41
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3846,f1264]) ).

fof(f3846,plain,
    ( sum(n15,n1) = sK41
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3845,f1424]) ).

fof(f3845,plain,
    ( sK41 = sum(n15,sum(n1,n0))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3844,f1264]) ).

fof(f3844,plain,
    ( sum(n15,sum(n1,sum(n15,n1))) = sK41
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3843,f1132]) ).

fof(f3843,plain,
    ( sum(n15,sum(n1,sum(pred(n0),n1))) = sK41
    | ~ spl122_139
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3842,f3829]) ).

fof(f3829,plain,
    ( n0 = sK44
    | ~ spl122_627 ),
    inference(avatar_component_clause,[],[f3828]) ).

fof(f3842,plain,
    ( sum(n15,sum(n1,sum(pred(sK44),n1))) = sK41
    | ~ spl122_139
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625 ),
    inference(forward_demodulation,[],[f3841,f1088]) ).

fof(f3841,plain,
    ( sum(n15,sum(n1,sum(pred(sK44),succ(n0)))) = sK41
    | ~ spl122_139
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625 ),
    inference(forward_demodulation,[],[f3737,f3784]) ).

fof(f3784,plain,
    ( n0 = sK72
    | ~ spl122_625 ),
    inference(avatar_component_clause,[],[f3783]) ).

fof(f3737,plain,
    ( sum(n15,sum(n1,sum(pred(sK44),succ(sK72)))) = sK41
    | ~ spl122_139
    | ~ spl122_621
    | ~ spl122_623 ),
    inference(forward_demodulation,[],[f3736,f1088]) ).

fof(f3736,plain,
    ( sum(n15,sum(succ(n0),sum(pred(sK44),succ(sK72)))) = sK41
    | ~ spl122_621
    | ~ spl122_623 ),
    inference(forward_demodulation,[],[f3725,f3717]) ).

fof(f3717,plain,
    ( n0 = sK119
    | ~ spl122_621 ),
    inference(avatar_component_clause,[],[f3716]) ).

fof(f3725,plain,
    ( sum(n15,sum(succ(sK119),sum(pred(sK44),succ(sK72)))) = sK41
    | ~ spl122_623 ),
    inference(avatar_component_clause,[],[f3724]) ).

fof(f2433,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK41)))))))))))))))) = sK29
    | ~ spl122_476 ),
    inference(avatar_component_clause,[],[f2432]) ).

fof(f3889,plain,
    ( spl122_631
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_504
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(avatar_split_clause,[],[f3869,f3828,f3783,f3724,f3716,f2544,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f3887]) ).

fof(f2544,plain,
    ( spl122_504
  <=> sK18 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK41)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_504])]) ).

fof(f3869,plain,
    ( n0 = sK18
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_504
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3868,f1032]) ).

fof(f3868,plain,
    ( pred(n1) = sK18
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_504
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3867,f1096]) ).

fof(f3867,plain,
    ( sK18 = pred(pred(n2))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_504
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3866,f1064]) ).

fof(f3866,plain,
    ( sK18 = pred(pred(pred(n3)))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_504
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3865,f1108]) ).

fof(f3865,plain,
    ( pred(pred(pred(pred(n4)))) = sK18
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_504
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3864,f1028]) ).

fof(f3864,plain,
    ( sK18 = pred(pred(pred(pred(pred(n5)))))
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_504
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3863,f1100]) ).

fof(f3863,plain,
    ( sK18 = pred(pred(pred(pred(pred(pred(n6))))))
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_504
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3862,f1048]) ).

fof(f3862,plain,
    ( sK18 = pred(pred(pred(pred(pred(pred(pred(n7)))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_504
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3861,f1080]) ).

fof(f3861,plain,
    ( sK18 = pred(pred(pred(pred(pred(pred(pred(pred(n8))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_504
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3860,f1104]) ).

fof(f3860,plain,
    ( sK18 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_504
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3859,f1068]) ).

fof(f3859,plain,
    ( sK18 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10))))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_504
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3858,f1076]) ).

fof(f3858,plain,
    ( sK18 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11)))))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_504
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3857,f1120]) ).

fof(f3857,plain,
    ( sK18 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12))))))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_504
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3856,f1056]) ).

fof(f3856,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK18
    | ~ spl122_122
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_504
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3855,f1084]) ).

fof(f3855,plain,
    ( sK18 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14))))))))))))))
    | ~ spl122_122
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_504
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3854,f1020]) ).

fof(f3854,plain,
    ( sK18 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_504
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(forward_demodulation,[],[f3848,f1132]) ).

fof(f3848,plain,
    ( sK18 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_504
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(backward_demodulation,[],[f2545,f3847]) ).

fof(f2545,plain,
    ( sK18 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK41))))))))))))))))
    | ~ spl122_504 ),
    inference(avatar_component_clause,[],[f2544]) ).

fof(f3853,plain,
    ( spl122_630
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_621
    | ~ spl122_623
    | ~ spl122_625
    | ~ spl122_627 ),
    inference(avatar_split_clause,[],[f3847,f3828,f3783,f3724,f3716,f1423,f1263,f1131,f1087,f3851]) ).

fof(f3840,plain,
    ( spl122_629
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_496
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(avatar_split_clause,[],[f3826,f3720,f3706,f3661,f3604,f3596,f2512,f1827,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f3838]) ).

fof(f2512,plain,
    ( spl122_496
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK26)))))))))))))))) = sK36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_496])]) ).

fof(f3826,plain,
    ( n0 = sK36
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_496
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3825,f1032]) ).

fof(f3825,plain,
    ( pred(n1) = sK36
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_496
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3824,f1096]) ).

fof(f3824,plain,
    ( sK36 = pred(pred(n2))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_496
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3823,f1064]) ).

fof(f3823,plain,
    ( sK36 = pred(pred(pred(n3)))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_496
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3822,f1108]) ).

fof(f3822,plain,
    ( pred(pred(pred(pred(n4)))) = sK36
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_496
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3821,f1028]) ).

fof(f3821,plain,
    ( sK36 = pred(pred(pred(pred(pred(n5)))))
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_496
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3820,f1100]) ).

fof(f3820,plain,
    ( sK36 = pred(pred(pred(pred(pred(pred(n6))))))
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_496
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3819,f1048]) ).

fof(f3819,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK36
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_496
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3818,f1080]) ).

fof(f3818,plain,
    ( sK36 = pred(pred(pred(pred(pred(pred(pred(pred(n8))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_496
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3817,f1104]) ).

fof(f3817,plain,
    ( sK36 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_496
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3816,f1068]) ).

fof(f3816,plain,
    ( sK36 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10))))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_496
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3815,f1076]) ).

fof(f3815,plain,
    ( sK36 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11)))))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_496
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3814,f1120]) ).

fof(f3814,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK36
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_496
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3813,f1056]) ).

fof(f3813,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK36
    | ~ spl122_122
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_496
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3812,f1084]) ).

fof(f3812,plain,
    ( sK36 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14))))))))))))))
    | ~ spl122_122
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_496
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3811,f1020]) ).

fof(f3811,plain,
    ( sK36 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_496
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(forward_demodulation,[],[f3786,f1132]) ).

fof(f3786,plain,
    ( sK36 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_496
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(backward_demodulation,[],[f2513,f3765]) ).

fof(f2513,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK26)))))))))))))))) = sK36
    | ~ spl122_496 ),
    inference(avatar_component_clause,[],[f2512]) ).

fof(f3835,plain,
    ( spl122_628
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_460
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(avatar_split_clause,[],[f3810,f3720,f3706,f3661,f3604,f3596,f2368,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f3833]) ).

fof(f3833,plain,
    ( spl122_628
  <=> n0 = sK38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_628])]) ).

fof(f3830,plain,
    ( spl122_627
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_514
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(avatar_split_clause,[],[f3781,f3706,f3661,f3604,f3596,f2584,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f3828]) ).

fof(f2584,plain,
    ( spl122_514
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK97)))))))))))))))) = sK44 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_514])]) ).

fof(f3781,plain,
    ( n0 = sK44
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_514
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3780,f1016]) ).

fof(f3780,plain,
    ( succ(n15) = sK44
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_514
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3779,f1072]) ).

fof(f3779,plain,
    ( succ(succ(n14)) = sK44
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_514
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3778,f1116]) ).

fof(f3778,plain,
    ( succ(succ(succ(n13))) = sK44
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_514
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3777,f1044]) ).

fof(f3777,plain,
    ( succ(succ(succ(succ(n12)))) = sK44
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_514
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3776,f1024]) ).

fof(f3776,plain,
    ( succ(succ(succ(succ(succ(n11))))) = sK44
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_514
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3775,f1112]) ).

fof(f3775,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK44
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_514
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3774,f1040]) ).

fof(f3774,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n9))))))) = sK44
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_514
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3773,f1124]) ).

fof(f3773,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(n8)))))))) = sK44
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_514
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3772,f1060]) ).

fof(f3772,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n7))))))))) = sK44
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_514
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3771,f1128]) ).

fof(f3771,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6)))))))))) = sK44
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_514
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3770,f1136]) ).

fof(f3770,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5))))))))))) = sK44
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_514
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3769,f1092]) ).

fof(f3769,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4)))))))))))) = sK44
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_514
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3768,f1052]) ).

fof(f3768,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK44
    | ~ spl122_126
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_514
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3767,f1036]) ).

fof(f3767,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2)))))))))))))) = sK44
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_514
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3766,f1140]) ).

fof(f3766,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1))))))))))))))) = sK44
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_514
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3740,f1088]) ).

fof(f3740,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))))))))))) = sK44
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_514
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(backward_demodulation,[],[f2585,f3735]) ).

fof(f2585,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK97)))))))))))))))) = sK44
    | ~ spl122_514 ),
    inference(avatar_component_clause,[],[f2584]) ).

fof(f3792,plain,
    ( spl122_626
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619
    | ~ spl122_622 ),
    inference(avatar_split_clause,[],[f3765,f3720,f3706,f3661,f3604,f3596,f1827,f1423,f1263,f1131,f1087,f3790]) ).

fof(f3790,plain,
    ( spl122_626
  <=> n0 = sK26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_626])]) ).

fof(f3785,plain,
    ( spl122_625
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_517
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(avatar_split_clause,[],[f3760,f3706,f3661,f3604,f3596,f2596,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f3783]) ).

fof(f2596,plain,
    ( spl122_517
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK97)))))))))))))))) = sK72 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_517])]) ).

fof(f3760,plain,
    ( n0 = sK72
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_517
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3759,f1032]) ).

fof(f3759,plain,
    ( pred(n1) = sK72
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_517
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3758,f1096]) ).

fof(f3758,plain,
    ( sK72 = pred(pred(n2))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_517
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3757,f1064]) ).

fof(f3757,plain,
    ( sK72 = pred(pred(pred(n3)))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_517
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3756,f1108]) ).

fof(f3756,plain,
    ( pred(pred(pred(pred(n4)))) = sK72
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_517
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3755,f1028]) ).

fof(f3755,plain,
    ( sK72 = pred(pred(pred(pred(pred(n5)))))
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_517
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3754,f1100]) ).

fof(f3754,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK72
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_517
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3753,f1048]) ).

fof(f3753,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK72
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_517
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3752,f1080]) ).

fof(f3752,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK72
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_517
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3751,f1104]) ).

fof(f3751,plain,
    ( sK72 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_517
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3750,f1068]) ).

fof(f3750,plain,
    ( sK72 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10))))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_517
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3749,f1076]) ).

fof(f3749,plain,
    ( sK72 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11)))))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_517
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3748,f1120]) ).

fof(f3748,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK72
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_517
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3747,f1056]) ).

fof(f3747,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK72
    | ~ spl122_122
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_517
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3746,f1084]) ).

fof(f3746,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK72
    | ~ spl122_122
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_517
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3745,f1020]) ).

fof(f3745,plain,
    ( sK72 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_517
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(forward_demodulation,[],[f3739,f1132]) ).

fof(f3739,plain,
    ( sK72 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_517
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(backward_demodulation,[],[f2597,f3735]) ).

fof(f2597,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK97)))))))))))))))) = sK72
    | ~ spl122_517 ),
    inference(avatar_component_clause,[],[f2596]) ).

fof(f3744,plain,
    ( spl122_624
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_613
    | ~ spl122_615
    | ~ spl122_617
    | ~ spl122_619 ),
    inference(avatar_split_clause,[],[f3735,f3706,f3661,f3604,f3596,f1423,f1263,f1131,f1087,f3742]) ).

fof(f3742,plain,
    ( spl122_624
  <=> n0 = sK97 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_624])]) ).

fof(f3726,plain,
    ( spl122_623
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_440
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(avatar_split_clause,[],[f3714,f3600,f3539,f3535,f3531,f3476,f2560,f2288,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f3724]) ).

fof(f2288,plain,
    ( spl122_440
  <=> sum(pred(sK52),sum(succ(sK119),sum(pred(sK44),succ(sK72)))) = sK41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_440])]) ).

fof(f2560,plain,
    ( spl122_508
  <=> sK52 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK33)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_508])]) ).

fof(f3476,plain,
    ( spl122_605
  <=> n0 = sK73 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_605])]) ).

fof(f3531,plain,
    ( spl122_608
  <=> n0 = sK89 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_608])]) ).

fof(f3535,plain,
    ( spl122_609
  <=> n0 = sK120 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_609])]) ).

fof(f3539,plain,
    ( spl122_610
  <=> sum(pred(sK73),sum(n1,sum(pred(sK120),succ(sK89)))) = sK96 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_610])]) ).

fof(f3600,plain,
    ( spl122_614
  <=> sum(sum(n15,succ(sK96)),sum(pred(sK96),n1)) = sK33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_614])]) ).

fof(f3714,plain,
    ( sum(n15,sum(succ(sK119),sum(pred(sK44),succ(sK72)))) = sK41
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_440
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3709,f1132]) ).

fof(f3709,plain,
    ( sum(pred(n0),sum(succ(sK119),sum(pred(sK44),succ(sK72)))) = sK41
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_440
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(backward_demodulation,[],[f2289,f3688]) ).

fof(f3688,plain,
    ( n0 = sK52
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3687,f1016]) ).

fof(f3687,plain,
    ( succ(n15) = sK52
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3686,f1072]) ).

fof(f3686,plain,
    ( sK52 = succ(succ(n14))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3685,f1116]) ).

fof(f3685,plain,
    ( succ(succ(succ(n13))) = sK52
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3684,f1044]) ).

fof(f3684,plain,
    ( succ(succ(succ(succ(n12)))) = sK52
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3683,f1024]) ).

fof(f3683,plain,
    ( sK52 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3682,f1112]) ).

fof(f3682,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK52
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3681,f1040]) ).

fof(f3681,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n9))))))) = sK52
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3680,f1124]) ).

fof(f3680,plain,
    ( sK52 = succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3679,f1060]) ).

fof(f3679,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n7))))))))) = sK52
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3678,f1128]) ).

fof(f3678,plain,
    ( sK52 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3677,f1136]) ).

fof(f3677,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5))))))))))) = sK52
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3676,f1092]) ).

fof(f3676,plain,
    ( sK52 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3675,f1052]) ).

fof(f3675,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK52
    | ~ spl122_126
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3674,f1036]) ).

fof(f3674,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2)))))))))))))) = sK52
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3673,f1140]) ).

fof(f3673,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1))))))))))))))) = sK52
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3664,f1088]) ).

fof(f3664,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))))))))))) = sK52
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(backward_demodulation,[],[f2561,f3643]) ).

fof(f3643,plain,
    ( n0 = sK33
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3642,f1828]) ).

fof(f3642,plain,
    ( sum(n0,n0) = sK33
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3641,f1264]) ).

fof(f3641,plain,
    ( sum(sum(n15,n1),n0) = sK33
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3640,f1088]) ).

fof(f3640,plain,
    ( sum(sum(n15,succ(n0)),n0) = sK33
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3639,f1264]) ).

fof(f3639,plain,
    ( sum(sum(n15,succ(n0)),sum(n15,n1)) = sK33
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3616,f1132]) ).

fof(f3616,plain,
    ( sum(sum(n15,succ(n0)),sum(pred(n0),n1)) = sK33
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(backward_demodulation,[],[f3601,f3615]) ).

fof(f3615,plain,
    ( n0 = sK96
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3614,f1264]) ).

fof(f3614,plain,
    ( sum(n15,n1) = sK96
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3613,f1132]) ).

fof(f3613,plain,
    ( sK96 = sum(pred(n0),n1)
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3612,f3477]) ).

fof(f3477,plain,
    ( n0 = sK73
    | ~ spl122_605 ),
    inference(avatar_component_clause,[],[f3476]) ).

fof(f3612,plain,
    ( sum(pred(sK73),n1) = sK96
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3611,f1424]) ).

fof(f3611,plain,
    ( sK96 = sum(pred(sK73),sum(n1,n0))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3610,f1264]) ).

fof(f3610,plain,
    ( sum(pred(sK73),sum(n1,sum(n15,n1))) = sK96
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3609,f1132]) ).

fof(f3609,plain,
    ( sum(pred(sK73),sum(n1,sum(pred(n0),n1))) = sK96
    | ~ spl122_139
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3608,f3536]) ).

fof(f3536,plain,
    ( n0 = sK120
    | ~ spl122_609 ),
    inference(avatar_component_clause,[],[f3535]) ).

fof(f3608,plain,
    ( sK96 = sum(pred(sK73),sum(n1,sum(pred(sK120),n1)))
    | ~ spl122_139
    | ~ spl122_608
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3607,f1088]) ).

fof(f3607,plain,
    ( sK96 = sum(pred(sK73),sum(n1,sum(pred(sK120),succ(n0))))
    | ~ spl122_608
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3540,f3532]) ).

fof(f3532,plain,
    ( n0 = sK89
    | ~ spl122_608 ),
    inference(avatar_component_clause,[],[f3531]) ).

fof(f3540,plain,
    ( sum(pred(sK73),sum(n1,sum(pred(sK120),succ(sK89)))) = sK96
    | ~ spl122_610 ),
    inference(avatar_component_clause,[],[f3539]) ).

fof(f3601,plain,
    ( sum(sum(n15,succ(sK96)),sum(pred(sK96),n1)) = sK33
    | ~ spl122_614 ),
    inference(avatar_component_clause,[],[f3600]) ).

fof(f2561,plain,
    ( sK52 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK33))))))))))))))))
    | ~ spl122_508 ),
    inference(avatar_component_clause,[],[f2560]) ).

fof(f2289,plain,
    ( sum(pred(sK52),sum(succ(sK119),sum(pred(sK44),succ(sK72)))) = sK41
    | ~ spl122_440 ),
    inference(avatar_component_clause,[],[f2288]) ).

fof(f3722,plain,
    ( spl122_622
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_451
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(avatar_split_clause,[],[f3672,f3600,f3539,f3535,f3531,f3476,f2332,f1827,f1423,f1263,f1131,f1087,f3720]) ).

fof(f2332,plain,
    ( spl122_451
  <=> sum(sum(pred(sK33),succ(sK97)),sum(pred(sK97),succ(sK33))) = sK26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_451])]) ).

fof(f3672,plain,
    ( sK26 = sum(sum(n15,succ(sK97)),sum(pred(sK97),n1))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_451
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3671,f1132]) ).

fof(f3671,plain,
    ( sum(sum(pred(n0),succ(sK97)),sum(pred(sK97),n1)) = sK26
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_451
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3666,f1088]) ).

fof(f3666,plain,
    ( sK26 = sum(sum(pred(n0),succ(sK97)),sum(pred(sK97),succ(n0)))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_451
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(backward_demodulation,[],[f2333,f3643]) ).

fof(f2333,plain,
    ( sum(sum(pred(sK33),succ(sK97)),sum(pred(sK97),succ(sK33))) = sK26
    | ~ spl122_451 ),
    inference(avatar_component_clause,[],[f2332]) ).

fof(f3718,plain,
    ( spl122_621
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_486
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(avatar_split_clause,[],[f3704,f3600,f3539,f3535,f3531,f3476,f2472,f1827,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f3716]) ).

fof(f2472,plain,
    ( spl122_486
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK33)))))))))))))))) = sK119 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_486])]) ).

fof(f3704,plain,
    ( n0 = sK119
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_486
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3703,f1032]) ).

fof(f3703,plain,
    ( pred(n1) = sK119
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_486
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3702,f1096]) ).

fof(f3702,plain,
    ( sK119 = pred(pred(n2))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_486
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3701,f1064]) ).

fof(f3701,plain,
    ( pred(pred(pred(n3))) = sK119
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_486
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3700,f1108]) ).

fof(f3700,plain,
    ( pred(pred(pred(pred(n4)))) = sK119
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_486
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3699,f1028]) ).

fof(f3699,plain,
    ( pred(pred(pred(pred(pred(n5))))) = sK119
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_486
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3698,f1100]) ).

fof(f3698,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK119
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_486
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3697,f1048]) ).

fof(f3697,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK119
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_486
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3696,f1080]) ).

fof(f3696,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK119
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_486
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3695,f1104]) ).

fof(f3695,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(n9))))))))) = sK119
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_486
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3694,f1068]) ).

fof(f3694,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10)))))))))) = sK119
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_486
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3693,f1076]) ).

fof(f3693,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11))))))))))) = sK119
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_486
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3692,f1120]) ).

fof(f3692,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK119
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_486
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3691,f1056]) ).

fof(f3691,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK119
    | ~ spl122_122
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_486
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3690,f1084]) ).

fof(f3690,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK119
    | ~ spl122_122
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_486
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3689,f1020]) ).

fof(f3689,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15))))))))))))))) = sK119
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_486
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(forward_demodulation,[],[f3665,f1132]) ).

fof(f3665,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0)))))))))))))))) = sK119
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_486
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(backward_demodulation,[],[f2473,f3643]) ).

fof(f2473,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK33)))))))))))))))) = sK119
    | ~ spl122_486 ),
    inference(avatar_component_clause,[],[f2472]) ).

fof(f3713,plain,
    ( spl122_620
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_508
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(avatar_split_clause,[],[f3688,f3600,f3539,f3535,f3531,f3476,f2560,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f3711]) ).

fof(f3711,plain,
    ( spl122_620
  <=> n0 = sK52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_620])]) ).

fof(f3708,plain,
    ( spl122_619
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_515
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(avatar_split_clause,[],[f3659,f3539,f3535,f3531,f3476,f2588,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f3706]) ).

fof(f2588,plain,
    ( spl122_515
  <=> sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK96)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_515])]) ).

fof(f3659,plain,
    ( n0 = sK22
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_515
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3658,f1032]) ).

fof(f3658,plain,
    ( pred(n1) = sK22
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_515
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3657,f1096]) ).

fof(f3657,plain,
    ( sK22 = pred(pred(n2))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_515
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3656,f1064]) ).

fof(f3656,plain,
    ( sK22 = pred(pred(pred(n3)))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_515
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3655,f1108]) ).

fof(f3655,plain,
    ( pred(pred(pred(pred(n4)))) = sK22
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_515
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3654,f1028]) ).

fof(f3654,plain,
    ( pred(pred(pred(pred(pred(n5))))) = sK22
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_515
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3653,f1100]) ).

fof(f3653,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK22
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_515
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3652,f1048]) ).

fof(f3652,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK22
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_515
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3651,f1080]) ).

fof(f3651,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK22
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_515
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3650,f1104]) ).

fof(f3650,plain,
    ( sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_515
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3649,f1068]) ).

fof(f3649,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10)))))))))) = sK22
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_515
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3648,f1076]) ).

fof(f3648,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11))))))))))) = sK22
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_515
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3647,f1120]) ).

fof(f3647,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK22
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_515
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3646,f1056]) ).

fof(f3646,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK22
    | ~ spl122_122
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_515
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3645,f1084]) ).

fof(f3645,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK22
    | ~ spl122_122
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_515
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3644,f1020]) ).

fof(f3644,plain,
    ( sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_515
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3617,f1132]) ).

fof(f3617,plain,
    ( sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_515
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(backward_demodulation,[],[f2589,f3615]) ).

fof(f2589,plain,
    ( sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK96))))))))))))))))
    | ~ spl122_515 ),
    inference(avatar_component_clause,[],[f2588]) ).

fof(f3670,plain,
    ( spl122_618
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610
    | ~ spl122_614 ),
    inference(avatar_split_clause,[],[f3643,f3600,f3539,f3535,f3531,f3476,f1827,f1423,f1263,f1131,f1087,f3668]) ).

fof(f3668,plain,
    ( spl122_618
  <=> n0 = sK33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_618])]) ).

fof(f3663,plain,
    ( spl122_617
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_498
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(avatar_split_clause,[],[f3638,f3539,f3535,f3531,f3476,f2520,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f3661]) ).

fof(f2520,plain,
    ( spl122_498
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK96)))))))))))))))) = sK61 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_498])]) ).

fof(f3638,plain,
    ( n0 = sK61
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_498
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3637,f1016]) ).

fof(f3637,plain,
    ( succ(n15) = sK61
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_498
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3636,f1072]) ).

fof(f3636,plain,
    ( sK61 = succ(succ(n14))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_498
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3635,f1116]) ).

fof(f3635,plain,
    ( sK61 = succ(succ(succ(n13)))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_498
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3634,f1044]) ).

fof(f3634,plain,
    ( succ(succ(succ(succ(n12)))) = sK61
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_498
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3633,f1024]) ).

fof(f3633,plain,
    ( sK61 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_498
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3632,f1112]) ).

fof(f3632,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK61
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_498
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3631,f1040]) ).

fof(f3631,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n9))))))) = sK61
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_498
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3630,f1124]) ).

fof(f3630,plain,
    ( sK61 = succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_498
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3629,f1060]) ).

fof(f3629,plain,
    ( sK61 = succ(succ(succ(succ(succ(succ(succ(succ(succ(n7)))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_498
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3628,f1128]) ).

fof(f3628,plain,
    ( sK61 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_498
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3627,f1136]) ).

fof(f3627,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5))))))))))) = sK61
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_498
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3626,f1092]) ).

fof(f3626,plain,
    ( sK61 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_498
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3625,f1052]) ).

fof(f3625,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK61
    | ~ spl122_126
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_498
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3624,f1036]) ).

fof(f3624,plain,
    ( sK61 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_498
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3623,f1140]) ).

fof(f3623,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1))))))))))))))) = sK61
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_498
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(forward_demodulation,[],[f3618,f1088]) ).

fof(f3618,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))))))))))) = sK61
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_498
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(backward_demodulation,[],[f2521,f3615]) ).

fof(f2521,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK96)))))))))))))))) = sK61
    | ~ spl122_498 ),
    inference(avatar_component_clause,[],[f2520]) ).

fof(f3622,plain,
    ( spl122_616
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_605
    | ~ spl122_608
    | ~ spl122_609
    | ~ spl122_610 ),
    inference(avatar_split_clause,[],[f3615,f3539,f3535,f3531,f3476,f1423,f1263,f1131,f1087,f3620]) ).

fof(f3620,plain,
    ( spl122_616
  <=> n0 = sK96 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_616])]) ).

fof(f3606,plain,
    ( spl122_615
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_443
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(avatar_split_clause,[],[f3594,f3495,f3480,f2556,f2300,f1827,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f3604]) ).

fof(f2300,plain,
    ( spl122_443
  <=> sum(pred(sK59),sum(succ(sK92),sum(pred(sK61),succ(sK22)))) = sK97 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_443])]) ).

fof(f2556,plain,
    ( spl122_507
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK117)))))))))))))))) = sK59 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_507])]) ).

fof(f3480,plain,
    ( spl122_606
  <=> sum(sum(n15,succ(sK86)),sum(pred(sK86),n1)) = sK117 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_606])]) ).

fof(f3495,plain,
    ( spl122_607
  <=> n0 = sK86 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_607])]) ).

fof(f3594,plain,
    ( sum(n15,sum(succ(sK92),sum(pred(sK61),succ(sK22)))) = sK97
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_443
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3589,f1132]) ).

fof(f3589,plain,
    ( sK97 = sum(pred(n0),sum(succ(sK92),sum(pred(sK61),succ(sK22))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_443
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(backward_demodulation,[],[f2301,f3570]) ).

fof(f3570,plain,
    ( n0 = sK59
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3569,f1016]) ).

fof(f3569,plain,
    ( succ(n15) = sK59
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3568,f1072]) ).

fof(f3568,plain,
    ( sK59 = succ(succ(n14))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3567,f1116]) ).

fof(f3567,plain,
    ( sK59 = succ(succ(succ(n13)))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3566,f1044]) ).

fof(f3566,plain,
    ( sK59 = succ(succ(succ(succ(n12))))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3565,f1024]) ).

fof(f3565,plain,
    ( sK59 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3564,f1112]) ).

fof(f3564,plain,
    ( sK59 = succ(succ(succ(succ(succ(succ(n10))))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3563,f1040]) ).

fof(f3563,plain,
    ( sK59 = succ(succ(succ(succ(succ(succ(succ(n9)))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3562,f1124]) ).

fof(f3562,plain,
    ( sK59 = succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3561,f1060]) ).

fof(f3561,plain,
    ( sK59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(n7)))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3560,f1128]) ).

fof(f3560,plain,
    ( sK59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3559,f1136]) ).

fof(f3559,plain,
    ( sK59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5)))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3558,f1092]) ).

fof(f3558,plain,
    ( sK59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3557,f1052]) ).

fof(f3557,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK59
    | ~ spl122_126
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3556,f1036]) ).

fof(f3556,plain,
    ( sK59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3555,f1140]) ).

fof(f3555,plain,
    ( sK59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1)))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3548,f1088]) ).

fof(f3548,plain,
    ( sK59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0))))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(backward_demodulation,[],[f2557,f3547]) ).

fof(f3547,plain,
    ( n0 = sK117
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3546,f1828]) ).

fof(f3546,plain,
    ( sum(n0,n0) = sK117
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3545,f1264]) ).

fof(f3545,plain,
    ( sum(sum(n15,n1),n0) = sK117
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3544,f1088]) ).

fof(f3544,plain,
    ( sum(sum(n15,succ(n0)),n0) = sK117
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3543,f1264]) ).

fof(f3543,plain,
    ( sum(sum(n15,succ(n0)),sum(n15,n1)) = sK117
    | ~ spl122_150
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3542,f1132]) ).

fof(f3542,plain,
    ( sum(sum(n15,succ(n0)),sum(pred(n0),n1)) = sK117
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3481,f3496]) ).

fof(f3496,plain,
    ( n0 = sK86
    | ~ spl122_607 ),
    inference(avatar_component_clause,[],[f3495]) ).

fof(f3481,plain,
    ( sum(sum(n15,succ(sK86)),sum(pred(sK86),n1)) = sK117
    | ~ spl122_606 ),
    inference(avatar_component_clause,[],[f3480]) ).

fof(f2557,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK117)))))))))))))))) = sK59
    | ~ spl122_507 ),
    inference(avatar_component_clause,[],[f2556]) ).

fof(f2301,plain,
    ( sum(pred(sK59),sum(succ(sK92),sum(pred(sK61),succ(sK22)))) = sK97
    | ~ spl122_443 ),
    inference(avatar_component_clause,[],[f2300]) ).

fof(f3602,plain,
    ( spl122_614
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_437
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(avatar_split_clause,[],[f3588,f3495,f3480,f2276,f1827,f1263,f1131,f1087,f3600]) ).

fof(f2276,plain,
    ( spl122_437
  <=> sum(sum(pred(sK117),succ(sK96)),sum(pred(sK96),succ(sK117))) = sK33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_437])]) ).

fof(f3588,plain,
    ( sum(sum(n15,succ(sK96)),sum(pred(sK96),n1)) = sK33
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_437
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3587,f1132]) ).

fof(f3587,plain,
    ( sum(sum(pred(n0),succ(sK96)),sum(pred(sK96),n1)) = sK33
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_437
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3550,f1088]) ).

fof(f3550,plain,
    ( sum(sum(pred(n0),succ(sK96)),sum(pred(sK96),succ(n0))) = sK33
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_437
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(backward_demodulation,[],[f2277,f3547]) ).

fof(f2277,plain,
    ( sum(sum(pred(sK117),succ(sK96)),sum(pred(sK96),succ(sK117))) = sK33
    | ~ spl122_437 ),
    inference(avatar_component_clause,[],[f2276]) ).

fof(f3598,plain,
    ( spl122_613
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_464
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(avatar_split_clause,[],[f3586,f3495,f3480,f2384,f1827,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f3596]) ).

fof(f2384,plain,
    ( spl122_464
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK117)))))))))))))))) = sK92 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_464])]) ).

fof(f3586,plain,
    ( n0 = sK92
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_464
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3585,f1032]) ).

fof(f3585,plain,
    ( pred(n1) = sK92
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_464
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3584,f1096]) ).

fof(f3584,plain,
    ( sK92 = pred(pred(n2))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_464
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3583,f1064]) ).

fof(f3583,plain,
    ( pred(pred(pred(n3))) = sK92
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_464
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3582,f1108]) ).

fof(f3582,plain,
    ( pred(pred(pred(pred(n4)))) = sK92
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_464
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3581,f1028]) ).

fof(f3581,plain,
    ( pred(pred(pred(pred(pred(n5))))) = sK92
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_464
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3580,f1100]) ).

fof(f3580,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK92
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_464
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3579,f1048]) ).

fof(f3579,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK92
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_464
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3578,f1080]) ).

fof(f3578,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK92
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_464
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3577,f1104]) ).

fof(f3577,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(n9))))))))) = sK92
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_464
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3576,f1068]) ).

fof(f3576,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10)))))))))) = sK92
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_464
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3575,f1076]) ).

fof(f3575,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11))))))))))) = sK92
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_464
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3574,f1120]) ).

fof(f3574,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK92
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_464
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3573,f1056]) ).

fof(f3573,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK92
    | ~ spl122_122
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_464
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3572,f1084]) ).

fof(f3572,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK92
    | ~ spl122_122
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_464
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3571,f1020]) ).

fof(f3571,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15))))))))))))))) = sK92
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_464
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(forward_demodulation,[],[f3549,f1132]) ).

fof(f3549,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0)))))))))))))))) = sK92
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_464
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(backward_demodulation,[],[f2385,f3547]) ).

fof(f2385,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK117)))))))))))))))) = sK92
    | ~ spl122_464 ),
    inference(avatar_component_clause,[],[f2384]) ).

fof(f3593,plain,
    ( spl122_612
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_507
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(avatar_split_clause,[],[f3570,f3495,f3480,f2556,f1827,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f3591]) ).

fof(f3591,plain,
    ( spl122_612
  <=> n0 = sK59 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_612])]) ).

fof(f3554,plain,
    ( spl122_611
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_606
    | ~ spl122_607 ),
    inference(avatar_split_clause,[],[f3547,f3495,f3480,f1827,f1263,f1131,f1087,f3552]) ).

fof(f3552,plain,
    ( spl122_611
  <=> n0 = sK117 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_611])]) ).

fof(f3541,plain,
    ( spl122_610
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_423
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(avatar_split_clause,[],[f3474,f3364,f3303,f3299,f3295,f3147,f3132,f2640,f2492,f2292,f2220,f1827,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f3539]) ).

fof(f2220,plain,
    ( spl122_423
  <=> sum(pred(sK73),sum(succ(sK21),sum(pred(sK120),succ(sK89)))) = sK96 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_423])]) ).

fof(f2292,plain,
    ( spl122_441
  <=> sum(pred(sK9),sum(succ(sK69),sum(pred(sK85),succ(sK116)))) = sK63 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_441])]) ).

fof(f2492,plain,
    ( spl122_491
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK28)))))))))))))))) = sK69 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_491])]) ).

fof(f2640,plain,
    ( spl122_528
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15)))))))))))))))) = sK21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_528])]) ).

fof(f3132,plain,
    ( spl122_585
  <=> sum(sum(n15,succ(sK8)),sum(pred(sK8),n1)) = sK28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_585])]) ).

fof(f3147,plain,
    ( spl122_586
  <=> n0 = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_586])]) ).

fof(f3295,plain,
    ( spl122_593
  <=> n0 = sK9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_593])]) ).

fof(f3299,plain,
    ( spl122_594
  <=> n0 = sK85 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_594])]) ).

fof(f3303,plain,
    ( spl122_595
  <=> n0 = sK116 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_595])]) ).

fof(f3364,plain,
    ( spl122_599
  <=> sK15 = sum(sum(n15,succ(sK63)),sum(pred(sK63),n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_599])]) ).

fof(f3474,plain,
    ( sum(pred(sK73),sum(n1,sum(pred(sK120),succ(sK89)))) = sK96
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_423
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3469,f1088]) ).

fof(f3469,plain,
    ( sum(pred(sK73),sum(succ(n0),sum(pred(sK120),succ(sK89)))) = sK96
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_423
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(backward_demodulation,[],[f2221,f3444]) ).

fof(f3444,plain,
    ( n0 = sK21
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3443,f1032]) ).

fof(f3443,plain,
    ( pred(n1) = sK21
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3442,f1096]) ).

fof(f3442,plain,
    ( sK21 = pred(pred(n2))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3441,f1064]) ).

fof(f3441,plain,
    ( sK21 = pred(pred(pred(n3)))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3440,f1108]) ).

fof(f3440,plain,
    ( pred(pred(pred(pred(n4)))) = sK21
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3439,f1028]) ).

fof(f3439,plain,
    ( sK21 = pred(pred(pred(pred(pred(n5)))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3438,f1100]) ).

fof(f3438,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK21
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3437,f1048]) ).

fof(f3437,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK21
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3436,f1080]) ).

fof(f3436,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK21
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3435,f1104]) ).

fof(f3435,plain,
    ( sK21 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3434,f1068]) ).

fof(f3434,plain,
    ( sK21 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3433,f1076]) ).

fof(f3433,plain,
    ( sK21 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11)))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3432,f1120]) ).

fof(f3432,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK21
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3431,f1056]) ).

fof(f3431,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK21
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3430,f1084]) ).

fof(f3430,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK21
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3429,f1020]) ).

fof(f3429,plain,
    ( sK21 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3420,f1132]) ).

fof(f3420,plain,
    ( sK21 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(backward_demodulation,[],[f2641,f3387]) ).

fof(f3387,plain,
    ( n0 = sK15
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3386,f1828]) ).

fof(f3386,plain,
    ( sum(n0,n0) = sK15
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3385,f1264]) ).

fof(f3385,plain,
    ( sK15 = sum(sum(n15,n1),n0)
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3384,f1088]) ).

fof(f3384,plain,
    ( sum(sum(n15,succ(n0)),n0) = sK15
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3383,f1264]) ).

fof(f3383,plain,
    ( sK15 = sum(sum(n15,succ(n0)),sum(n15,n1))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3376,f1132]) ).

fof(f3376,plain,
    ( sK15 = sum(sum(n15,succ(n0)),sum(pred(n0),n1))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(backward_demodulation,[],[f3365,f3375]) ).

fof(f3375,plain,
    ( n0 = sK63
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3374,f1264]) ).

fof(f3374,plain,
    ( sum(n15,n1) = sK63
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3373,f1132]) ).

fof(f3373,plain,
    ( sum(pred(n0),n1) = sK63
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3372,f3296]) ).

fof(f3296,plain,
    ( n0 = sK9
    | ~ spl122_593 ),
    inference(avatar_component_clause,[],[f3295]) ).

fof(f3372,plain,
    ( sum(pred(sK9),n1) = sK63
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3371,f1424]) ).

fof(f3371,plain,
    ( sum(pred(sK9),sum(n1,n0)) = sK63
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3370,f1264]) ).

fof(f3370,plain,
    ( sum(pred(sK9),sum(n1,sum(n15,n1))) = sK63
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3369,f1132]) ).

fof(f3369,plain,
    ( sum(pred(sK9),sum(n1,sum(pred(n0),n1))) = sK63
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3368,f3300]) ).

fof(f3300,plain,
    ( n0 = sK85
    | ~ spl122_594 ),
    inference(avatar_component_clause,[],[f3299]) ).

fof(f3368,plain,
    ( sum(pred(sK9),sum(n1,sum(pred(sK85),n1))) = sK63
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3367,f1088]) ).

fof(f3367,plain,
    ( sum(pred(sK9),sum(n1,sum(pred(sK85),succ(n0)))) = sK63
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3293,f3304]) ).

fof(f3304,plain,
    ( n0 = sK116
    | ~ spl122_595 ),
    inference(avatar_component_clause,[],[f3303]) ).

fof(f3293,plain,
    ( sum(pred(sK9),sum(n1,sum(pred(sK85),succ(sK116)))) = sK63
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3288,f1088]) ).

fof(f3288,plain,
    ( sum(pred(sK9),sum(succ(n0),sum(pred(sK85),succ(sK116)))) = sK63
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(backward_demodulation,[],[f2293,f3231]) ).

fof(f3231,plain,
    ( n0 = sK69
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3230,f1032]) ).

fof(f3230,plain,
    ( pred(n1) = sK69
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3229,f1096]) ).

fof(f3229,plain,
    ( sK69 = pred(pred(n2))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3228,f1064]) ).

fof(f3228,plain,
    ( pred(pred(pred(n3))) = sK69
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3227,f1108]) ).

fof(f3227,plain,
    ( pred(pred(pred(pred(n4)))) = sK69
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3226,f1028]) ).

fof(f3226,plain,
    ( pred(pred(pred(pred(pred(n5))))) = sK69
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3225,f1100]) ).

fof(f3225,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK69
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3224,f1048]) ).

fof(f3224,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK69
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3223,f1080]) ).

fof(f3223,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK69
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3222,f1104]) ).

fof(f3222,plain,
    ( sK69 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3221,f1068]) ).

fof(f3221,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10)))))))))) = sK69
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3220,f1076]) ).

fof(f3220,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11))))))))))) = sK69
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3219,f1120]) ).

fof(f3219,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK69
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3218,f1056]) ).

fof(f3218,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK69
    | ~ spl122_122
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3217,f1084]) ).

fof(f3217,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK69
    | ~ spl122_122
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3216,f1020]) ).

fof(f3216,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15))))))))))))))) = sK69
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3209,f1132]) ).

fof(f3209,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0)))))))))))))))) = sK69
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(backward_demodulation,[],[f2493,f3201]) ).

fof(f3201,plain,
    ( n0 = sK28
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3200,f1828]) ).

fof(f3200,plain,
    ( sum(n0,n0) = sK28
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3199,f1264]) ).

fof(f3199,plain,
    ( sum(sum(n15,n1),n0) = sK28
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3198,f1088]) ).

fof(f3198,plain,
    ( sum(sum(n15,succ(n0)),n0) = sK28
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3197,f1264]) ).

fof(f3197,plain,
    ( sum(sum(n15,succ(n0)),sum(n15,n1)) = sK28
    | ~ spl122_150
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3196,f1132]) ).

fof(f3196,plain,
    ( sum(sum(n15,succ(n0)),sum(pred(n0),n1)) = sK28
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3133,f3148]) ).

fof(f3148,plain,
    ( n0 = sK8
    | ~ spl122_586 ),
    inference(avatar_component_clause,[],[f3147]) ).

fof(f3133,plain,
    ( sum(sum(n15,succ(sK8)),sum(pred(sK8),n1)) = sK28
    | ~ spl122_585 ),
    inference(avatar_component_clause,[],[f3132]) ).

fof(f2493,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK28)))))))))))))))) = sK69
    | ~ spl122_491 ),
    inference(avatar_component_clause,[],[f2492]) ).

fof(f2293,plain,
    ( sum(pred(sK9),sum(succ(sK69),sum(pred(sK85),succ(sK116)))) = sK63
    | ~ spl122_441 ),
    inference(avatar_component_clause,[],[f2292]) ).

fof(f3365,plain,
    ( sK15 = sum(sum(n15,succ(sK63)),sum(pred(sK63),n1))
    | ~ spl122_599 ),
    inference(avatar_component_clause,[],[f3364]) ).

fof(f2641,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15)))))))))))))))) = sK21
    | ~ spl122_528 ),
    inference(avatar_component_clause,[],[f2640]) ).

fof(f2221,plain,
    ( sum(pred(sK73),sum(succ(sK21),sum(pred(sK120),succ(sK89)))) = sK96
    | ~ spl122_423 ),
    inference(avatar_component_clause,[],[f2220]) ).

fof(f3537,plain,
    ( spl122_609
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_522
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(avatar_split_clause,[],[f3529,f3466,f3462,f3360,f3253,f3147,f3132,f2616,f2468,f2232,f2180,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f3535]) ).

fof(f2180,plain,
    ( spl122_413
  <=> sum(sum(pred(sK28),succ(sK98)),sum(pred(sK98),succ(sK28))) = sK79 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_413])]) ).

fof(f2232,plain,
    ( spl122_426
  <=> sK86 = sum(pred(sK47),sum(succ(sK93),sum(pred(sK20),succ(sK66)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_426])]) ).

fof(f2468,plain,
    ( spl122_485
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK79)))))))))))))))) = sK47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_485])]) ).

fof(f2616,plain,
    ( spl122_522
  <=> sK120 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK86)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_522])]) ).

fof(f3253,plain,
    ( spl122_591
  <=> n0 = sK98 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_591])]) ).

fof(f3360,plain,
    ( spl122_598
  <=> n0 = sK93 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_598])]) ).

fof(f3462,plain,
    ( spl122_602
  <=> n0 = sK66 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_602])]) ).

fof(f3466,plain,
    ( spl122_603
  <=> n0 = sK20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_603])]) ).

fof(f3529,plain,
    ( n0 = sK120
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_522
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3528,f1016]) ).

fof(f3528,plain,
    ( succ(n15) = sK120
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_522
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3527,f1072]) ).

fof(f3527,plain,
    ( sK120 = succ(succ(n14))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_522
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3526,f1116]) ).

fof(f3526,plain,
    ( sK120 = succ(succ(succ(n13)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_522
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3525,f1044]) ).

fof(f3525,plain,
    ( sK120 = succ(succ(succ(succ(n12))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_522
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3524,f1024]) ).

fof(f3524,plain,
    ( sK120 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_522
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3523,f1112]) ).

fof(f3523,plain,
    ( sK120 = succ(succ(succ(succ(succ(succ(n10))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_522
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3522,f1040]) ).

fof(f3522,plain,
    ( sK120 = succ(succ(succ(succ(succ(succ(succ(n9)))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_522
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3521,f1124]) ).

fof(f3521,plain,
    ( sK120 = succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_522
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3520,f1060]) ).

fof(f3520,plain,
    ( sK120 = succ(succ(succ(succ(succ(succ(succ(succ(succ(n7)))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_522
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3519,f1128]) ).

fof(f3519,plain,
    ( sK120 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_522
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3518,f1136]) ).

fof(f3518,plain,
    ( sK120 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5)))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_522
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3517,f1092]) ).

fof(f3517,plain,
    ( sK120 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_522
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3516,f1052]) ).

fof(f3516,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK120
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_522
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3515,f1036]) ).

fof(f3515,plain,
    ( sK120 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_522
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3514,f1140]) ).

fof(f3514,plain,
    ( sK120 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1)))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_522
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3492,f1088]) ).

fof(f3492,plain,
    ( sK120 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0))))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_522
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(backward_demodulation,[],[f2617,f3491]) ).

fof(f3491,plain,
    ( n0 = sK86
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3490,f1264]) ).

fof(f3490,plain,
    ( sum(n15,n1) = sK86
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3489,f1424]) ).

fof(f3489,plain,
    ( sK86 = sum(n15,sum(n1,n0))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3488,f1088]) ).

fof(f3488,plain,
    ( sK86 = sum(n15,sum(succ(n0),n0))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3487,f3361]) ).

fof(f3361,plain,
    ( n0 = sK93
    | ~ spl122_598 ),
    inference(avatar_component_clause,[],[f3360]) ).

fof(f3487,plain,
    ( sK86 = sum(n15,sum(succ(sK93),n0))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3486,f1264]) ).

fof(f3486,plain,
    ( sK86 = sum(n15,sum(succ(sK93),sum(n15,n1)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3485,f1132]) ).

fof(f3485,plain,
    ( sK86 = sum(n15,sum(succ(sK93),sum(pred(n0),n1)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3484,f3467]) ).

fof(f3467,plain,
    ( n0 = sK20
    | ~ spl122_603 ),
    inference(avatar_component_clause,[],[f3466]) ).

fof(f3484,plain,
    ( sK86 = sum(n15,sum(succ(sK93),sum(pred(sK20),n1)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_602 ),
    inference(forward_demodulation,[],[f3483,f1088]) ).

fof(f3483,plain,
    ( sK86 = sum(n15,sum(succ(sK93),sum(pred(sK20),succ(n0))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_602 ),
    inference(forward_demodulation,[],[f3358,f3463]) ).

fof(f3463,plain,
    ( n0 = sK66
    | ~ spl122_602 ),
    inference(avatar_component_clause,[],[f3462]) ).

fof(f3358,plain,
    ( sK86 = sum(n15,sum(succ(sK93),sum(pred(sK20),succ(sK66))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3353,f1132]) ).

fof(f3353,plain,
    ( sK86 = sum(pred(n0),sum(succ(sK93),sum(pred(sK20),succ(sK66))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(backward_demodulation,[],[f2233,f3334]) ).

fof(f3334,plain,
    ( n0 = sK47
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3333,f1016]) ).

fof(f3333,plain,
    ( succ(n15) = sK47
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3332,f1072]) ).

fof(f3332,plain,
    ( sK47 = succ(succ(n14))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3331,f1116]) ).

fof(f3331,plain,
    ( succ(succ(succ(n13))) = sK47
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3330,f1044]) ).

fof(f3330,plain,
    ( succ(succ(succ(succ(n12)))) = sK47
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3329,f1024]) ).

fof(f3329,plain,
    ( sK47 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3328,f1112]) ).

fof(f3328,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK47
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3327,f1040]) ).

fof(f3327,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n9))))))) = sK47
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3326,f1124]) ).

fof(f3326,plain,
    ( sK47 = succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3325,f1060]) ).

fof(f3325,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n7))))))))) = sK47
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3324,f1128]) ).

fof(f3324,plain,
    ( sK47 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3323,f1136]) ).

fof(f3323,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5))))))))))) = sK47
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3322,f1092]) ).

fof(f3322,plain,
    ( sK47 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3321,f1052]) ).

fof(f3321,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK47
    | ~ spl122_126
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3320,f1036]) ).

fof(f3320,plain,
    ( sK47 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3319,f1140]) ).

fof(f3319,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1))))))))))))))) = sK47
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3313,f1088]) ).

fof(f3313,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))))))))))) = sK47
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(backward_demodulation,[],[f2469,f3311]) ).

fof(f3311,plain,
    ( n0 = sK79
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3310,f1828]) ).

fof(f3310,plain,
    ( sum(n0,n0) = sK79
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3309,f1264]) ).

fof(f3309,plain,
    ( sum(sum(n15,n1),n0) = sK79
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3308,f1088]) ).

fof(f3308,plain,
    ( sum(sum(n15,succ(n0)),n0) = sK79
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3307,f1264]) ).

fof(f3307,plain,
    ( sum(sum(n15,succ(n0)),sum(n15,n1)) = sK79
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3306,f1132]) ).

fof(f3306,plain,
    ( sum(sum(n15,succ(n0)),sum(pred(n0),n1)) = sK79
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3233,f3254]) ).

fof(f3254,plain,
    ( n0 = sK98
    | ~ spl122_591 ),
    inference(avatar_component_clause,[],[f3253]) ).

fof(f3233,plain,
    ( sum(sum(n15,succ(sK98)),sum(pred(sK98),n1)) = sK79
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3232,f1132]) ).

fof(f3232,plain,
    ( sum(sum(pred(n0),succ(sK98)),sum(pred(sK98),n1)) = sK79
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3211,f1088]) ).

fof(f3211,plain,
    ( sum(sum(pred(n0),succ(sK98)),sum(pred(sK98),succ(n0))) = sK79
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(backward_demodulation,[],[f2181,f3201]) ).

fof(f2181,plain,
    ( sum(sum(pred(sK28),succ(sK98)),sum(pred(sK98),succ(sK28))) = sK79
    | ~ spl122_413 ),
    inference(avatar_component_clause,[],[f2180]) ).

fof(f2469,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK79)))))))))))))))) = sK47
    | ~ spl122_485 ),
    inference(avatar_component_clause,[],[f2468]) ).

fof(f2233,plain,
    ( sK86 = sum(pred(sK47),sum(succ(sK93),sum(pred(sK20),succ(sK66))))
    | ~ spl122_426 ),
    inference(avatar_component_clause,[],[f2232]) ).

fof(f2617,plain,
    ( sK120 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK86))))))))))))))))
    | ~ spl122_522 ),
    inference(avatar_component_clause,[],[f2616]) ).

fof(f3533,plain,
    ( spl122_608
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_465
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(avatar_split_clause,[],[f3513,f3466,f3462,f3360,f3253,f3147,f3132,f2468,f2388,f2232,f2180,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f3531]) ).

fof(f2388,plain,
    ( spl122_465
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK86)))))))))))))))) = sK89 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_465])]) ).

fof(f3513,plain,
    ( n0 = sK89
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_465
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3512,f1032]) ).

fof(f3512,plain,
    ( pred(n1) = sK89
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_465
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3511,f1096]) ).

fof(f3511,plain,
    ( sK89 = pred(pred(n2))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_465
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3510,f1064]) ).

fof(f3510,plain,
    ( sK89 = pred(pred(pred(n3)))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_465
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3509,f1108]) ).

fof(f3509,plain,
    ( pred(pred(pred(pred(n4)))) = sK89
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_465
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3508,f1028]) ).

fof(f3508,plain,
    ( sK89 = pred(pred(pred(pred(pred(n5)))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_465
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3507,f1100]) ).

fof(f3507,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK89
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_465
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3506,f1048]) ).

fof(f3506,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK89
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_465
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3505,f1080]) ).

fof(f3505,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK89
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_465
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3504,f1104]) ).

fof(f3504,plain,
    ( sK89 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_465
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3503,f1068]) ).

fof(f3503,plain,
    ( sK89 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_465
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3502,f1076]) ).

fof(f3502,plain,
    ( sK89 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11)))))))))))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_465
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3501,f1120]) ).

fof(f3501,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK89
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_465
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3500,f1056]) ).

fof(f3500,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK89
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_465
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3499,f1084]) ).

fof(f3499,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK89
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_465
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3498,f1020]) ).

fof(f3498,plain,
    ( sK89 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_465
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(forward_demodulation,[],[f3493,f1132]) ).

fof(f3493,plain,
    ( sK89 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_465
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(backward_demodulation,[],[f2389,f3491]) ).

fof(f2389,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK86)))))))))))))))) = sK89
    | ~ spl122_465 ),
    inference(avatar_component_clause,[],[f2388]) ).

fof(f3497,plain,
    ( spl122_607
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_426
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591
    | ~ spl122_598
    | ~ spl122_602
    | ~ spl122_603 ),
    inference(avatar_split_clause,[],[f3491,f3466,f3462,f3360,f3253,f3147,f3132,f2468,f2232,f2180,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f3495]) ).

fof(f3482,plain,
    ( spl122_606
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_429
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(avatar_split_clause,[],[f3428,f3364,f3303,f3299,f3295,f3147,f3132,f2492,f2292,f2244,f1827,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f3480]) ).

fof(f2244,plain,
    ( spl122_429
  <=> sum(sum(pred(sK15),succ(sK86)),sum(pred(sK86),succ(sK15))) = sK117 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_429])]) ).

fof(f3428,plain,
    ( sum(sum(n15,succ(sK86)),sum(pred(sK86),n1)) = sK117
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_429
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3427,f1132]) ).

fof(f3427,plain,
    ( sum(sum(pred(n0),succ(sK86)),sum(pred(sK86),n1)) = sK117
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_429
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3422,f1088]) ).

fof(f3422,plain,
    ( sum(sum(pred(n0),succ(sK86)),sum(pred(sK86),succ(n0))) = sK117
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_429
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(backward_demodulation,[],[f2245,f3387]) ).

fof(f2245,plain,
    ( sum(sum(pred(sK15),succ(sK86)),sum(pred(sK86),succ(sK15))) = sK117
    | ~ spl122_429 ),
    inference(avatar_component_clause,[],[f2244]) ).

fof(f3478,plain,
    ( spl122_605
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_525
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(avatar_split_clause,[],[f3460,f3364,f3303,f3299,f3295,f3147,f3132,f2628,f2492,f2292,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f3476]) ).

fof(f2628,plain,
    ( spl122_525
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15)))))))))))))))) = sK73 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_525])]) ).

fof(f3460,plain,
    ( n0 = sK73
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_525
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3459,f1016]) ).

fof(f3459,plain,
    ( succ(n15) = sK73
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_525
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3458,f1072]) ).

fof(f3458,plain,
    ( succ(succ(n14)) = sK73
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_525
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3457,f1116]) ).

fof(f3457,plain,
    ( succ(succ(succ(n13))) = sK73
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_525
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3456,f1044]) ).

fof(f3456,plain,
    ( succ(succ(succ(succ(n12)))) = sK73
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_525
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3455,f1024]) ).

fof(f3455,plain,
    ( succ(succ(succ(succ(succ(n11))))) = sK73
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_525
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3454,f1112]) ).

fof(f3454,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK73
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_525
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3453,f1040]) ).

fof(f3453,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n9))))))) = sK73
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_525
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3452,f1124]) ).

fof(f3452,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(n8)))))))) = sK73
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_525
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3451,f1060]) ).

fof(f3451,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n7))))))))) = sK73
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_525
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3450,f1128]) ).

fof(f3450,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6)))))))))) = sK73
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_525
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3449,f1136]) ).

fof(f3449,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5))))))))))) = sK73
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_525
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3448,f1092]) ).

fof(f3448,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4)))))))))))) = sK73
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_525
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3447,f1052]) ).

fof(f3447,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK73
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_525
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3446,f1036]) ).

fof(f3446,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2)))))))))))))) = sK73
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_525
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3445,f1140]) ).

fof(f3445,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1))))))))))))))) = sK73
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_525
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(forward_demodulation,[],[f3421,f1088]) ).

fof(f3421,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))))))))))) = sK73
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_525
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(backward_demodulation,[],[f2629,f3387]) ).

fof(f2629,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15)))))))))))))))) = sK73
    | ~ spl122_525 ),
    inference(avatar_component_clause,[],[f2628]) ).

fof(f3473,plain,
    ( spl122_604
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_528
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(avatar_split_clause,[],[f3444,f3364,f3303,f3299,f3295,f3147,f3132,f2640,f2492,f2292,f1827,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f3471]) ).

fof(f3471,plain,
    ( spl122_604
  <=> n0 = sK21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_604])]) ).

fof(f3468,plain,
    ( spl122_603
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_502
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(avatar_split_clause,[],[f3419,f3303,f3299,f3295,f3147,f3132,f2536,f2492,f2292,f1827,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f3466]) ).

fof(f2536,plain,
    ( spl122_502
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK63)))))))))))))))) = sK20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_502])]) ).

fof(f3419,plain,
    ( n0 = sK20
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_502
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3418,f1016]) ).

fof(f3418,plain,
    ( succ(n15) = sK20
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_502
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3417,f1072]) ).

fof(f3417,plain,
    ( sK20 = succ(succ(n14))
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_502
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3416,f1116]) ).

fof(f3416,plain,
    ( sK20 = succ(succ(succ(n13)))
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_502
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3415,f1044]) ).

fof(f3415,plain,
    ( succ(succ(succ(succ(n12)))) = sK20
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_502
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3414,f1024]) ).

fof(f3414,plain,
    ( sK20 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_502
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3413,f1112]) ).

fof(f3413,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK20
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_502
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3412,f1040]) ).

fof(f3412,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n9))))))) = sK20
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_502
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3411,f1124]) ).

fof(f3411,plain,
    ( sK20 = succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_502
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3410,f1060]) ).

fof(f3410,plain,
    ( sK20 = succ(succ(succ(succ(succ(succ(succ(succ(succ(n7)))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_502
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3409,f1128]) ).

fof(f3409,plain,
    ( sK20 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_502
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3408,f1136]) ).

fof(f3408,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5))))))))))) = sK20
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_502
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3407,f1092]) ).

fof(f3407,plain,
    ( sK20 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_502
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3406,f1052]) ).

fof(f3406,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK20
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_502
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3405,f1036]) ).

fof(f3405,plain,
    ( sK20 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2))))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_502
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3404,f1140]) ).

fof(f3404,plain,
    ( sK20 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1)))))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_502
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3378,f1088]) ).

fof(f3378,plain,
    ( sK20 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0))))))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_502
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(backward_demodulation,[],[f2537,f3375]) ).

fof(f2537,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK63)))))))))))))))) = sK20
    | ~ spl122_502 ),
    inference(avatar_component_clause,[],[f2536]) ).

fof(f3464,plain,
    ( spl122_602
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_527
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(avatar_split_clause,[],[f3403,f3303,f3299,f3295,f3147,f3132,f2636,f2492,f2292,f1827,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f3462]) ).

fof(f2636,plain,
    ( spl122_527
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK63)))))))))))))))) = sK66 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_527])]) ).

fof(f3403,plain,
    ( n0 = sK66
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_527
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3402,f1032]) ).

fof(f3402,plain,
    ( pred(n1) = sK66
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_527
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3401,f1096]) ).

fof(f3401,plain,
    ( pred(pred(n2)) = sK66
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_527
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3400,f1064]) ).

fof(f3400,plain,
    ( pred(pred(pred(n3))) = sK66
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_527
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3399,f1108]) ).

fof(f3399,plain,
    ( pred(pred(pred(pred(n4)))) = sK66
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_527
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3398,f1028]) ).

fof(f3398,plain,
    ( pred(pred(pred(pred(pred(n5))))) = sK66
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_527
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3397,f1100]) ).

fof(f3397,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK66
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_527
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3396,f1048]) ).

fof(f3396,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK66
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_527
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3395,f1080]) ).

fof(f3395,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK66
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_527
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3394,f1104]) ).

fof(f3394,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(n9))))))))) = sK66
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_527
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3393,f1068]) ).

fof(f3393,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10)))))))))) = sK66
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_527
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3392,f1076]) ).

fof(f3392,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11))))))))))) = sK66
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_527
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3391,f1120]) ).

fof(f3391,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK66
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_527
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3390,f1056]) ).

fof(f3390,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK66
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_527
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3389,f1084]) ).

fof(f3389,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK66
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_527
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3388,f1020]) ).

fof(f3388,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15))))))))))))))) = sK66
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_527
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(forward_demodulation,[],[f3377,f1132]) ).

fof(f3377,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0)))))))))))))))) = sK66
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_527
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(backward_demodulation,[],[f2637,f3375]) ).

fof(f2637,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK63)))))))))))))))) = sK66
    | ~ spl122_527 ),
    inference(avatar_component_clause,[],[f2636]) ).

fof(f3426,plain,
    ( spl122_601
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595
    | ~ spl122_599 ),
    inference(avatar_split_clause,[],[f3387,f3364,f3303,f3299,f3295,f3147,f3132,f2492,f2292,f1827,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f3424]) ).

fof(f3424,plain,
    ( spl122_601
  <=> n0 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_601])]) ).

fof(f3382,plain,
    ( spl122_600
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_324
    | ~ spl122_441
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_593
    | ~ spl122_594
    | ~ spl122_595 ),
    inference(avatar_split_clause,[],[f3375,f3303,f3299,f3295,f3147,f3132,f2492,f2292,f1827,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f3380]) ).

fof(f3380,plain,
    ( spl122_600
  <=> n0 = sK63 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_600])]) ).

fof(f3366,plain,
    ( spl122_599
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_427
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(avatar_split_clause,[],[f3336,f3253,f3147,f3132,f2236,f2180,f1827,f1263,f1131,f1087,f3364]) ).

fof(f2236,plain,
    ( spl122_427
  <=> sK15 = sum(sum(pred(sK79),succ(sK63)),sum(pred(sK63),succ(sK79))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_427])]) ).

fof(f3336,plain,
    ( sK15 = sum(sum(n15,succ(sK63)),sum(pred(sK63),n1))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_427
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3335,f1132]) ).

fof(f3335,plain,
    ( sK15 = sum(sum(pred(n0),succ(sK63)),sum(pred(sK63),n1))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_427
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3314,f1088]) ).

fof(f3314,plain,
    ( sK15 = sum(sum(pred(n0),succ(sK63)),sum(pred(sK63),succ(n0)))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_427
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(backward_demodulation,[],[f2237,f3311]) ).

fof(f2237,plain,
    ( sK15 = sum(sum(pred(sK79),succ(sK63)),sum(pred(sK63),succ(sK79)))
    | ~ spl122_427 ),
    inference(avatar_component_clause,[],[f2236]) ).

fof(f3362,plain,
    ( spl122_598
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_505
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(avatar_split_clause,[],[f3352,f3253,f3147,f3132,f2548,f2180,f1827,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f3360]) ).

fof(f2548,plain,
    ( spl122_505
  <=> sK93 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK79)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_505])]) ).

fof(f3352,plain,
    ( n0 = sK93
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_505
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3351,f1032]) ).

fof(f3351,plain,
    ( pred(n1) = sK93
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_505
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3350,f1096]) ).

fof(f3350,plain,
    ( sK93 = pred(pred(n2))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_505
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3349,f1064]) ).

fof(f3349,plain,
    ( sK93 = pred(pred(pred(n3)))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_505
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3348,f1108]) ).

fof(f3348,plain,
    ( sK93 = pred(pred(pred(pred(n4))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_505
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3347,f1028]) ).

fof(f3347,plain,
    ( sK93 = pred(pred(pred(pred(pred(n5)))))
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_505
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3346,f1100]) ).

fof(f3346,plain,
    ( sK93 = pred(pred(pred(pred(pred(pred(n6))))))
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_505
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3345,f1048]) ).

fof(f3345,plain,
    ( sK93 = pred(pred(pred(pred(pred(pred(pred(n7)))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_505
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3344,f1080]) ).

fof(f3344,plain,
    ( sK93 = pred(pred(pred(pred(pred(pred(pred(pred(n8))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_505
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3343,f1104]) ).

fof(f3343,plain,
    ( sK93 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_505
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3342,f1068]) ).

fof(f3342,plain,
    ( sK93 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10))))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_505
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3341,f1076]) ).

fof(f3341,plain,
    ( sK93 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11)))))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_505
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3340,f1120]) ).

fof(f3340,plain,
    ( sK93 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12))))))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_505
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3339,f1056]) ).

fof(f3339,plain,
    ( sK93 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13)))))))))))))
    | ~ spl122_122
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_505
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3338,f1084]) ).

fof(f3338,plain,
    ( sK93 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14))))))))))))))
    | ~ spl122_122
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_505
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3337,f1020]) ).

fof(f3337,plain,
    ( sK93 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_505
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(forward_demodulation,[],[f3312,f1132]) ).

fof(f3312,plain,
    ( sK93 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_505
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(backward_demodulation,[],[f2549,f3311]) ).

fof(f2549,plain,
    ( sK93 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK79))))))))))))))))
    | ~ spl122_505 ),
    inference(avatar_component_clause,[],[f2548]) ).

fof(f3357,plain,
    ( spl122_597
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_485
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(avatar_split_clause,[],[f3334,f3253,f3147,f3132,f2468,f2180,f1827,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f3355]) ).

fof(f3355,plain,
    ( spl122_597
  <=> n0 = sK47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_597])]) ).

fof(f3318,plain,
    ( spl122_596
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_413
    | ~ spl122_585
    | ~ spl122_586
    | ~ spl122_591 ),
    inference(avatar_split_clause,[],[f3311,f3253,f3147,f3132,f2180,f1827,f1263,f1131,f1087,f3316]) ).

fof(f3316,plain,
    ( spl122_596
  <=> n0 = sK79 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_596])]) ).

fof(f3305,plain,
    ( spl122_595
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_509
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(avatar_split_clause,[],[f3287,f3193,f3187,f3183,f2564,f1423,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f3303]) ).

fof(f2564,plain,
    ( spl122_509
  <=> sK116 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK98)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_509])]) ).

fof(f3183,plain,
    ( spl122_587
  <=> n0 = sK103 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_587])]) ).

fof(f3187,plain,
    ( spl122_588
  <=> n0 = sK94 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_588])]) ).

fof(f3193,plain,
    ( spl122_589
  <=> sum(n15,sum(n1,sum(pred(sK103),succ(sK94)))) = sK98 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_589])]) ).

fof(f3287,plain,
    ( n0 = sK116
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_509
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3286,f1032]) ).

fof(f3286,plain,
    ( pred(n1) = sK116
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_509
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3285,f1096]) ).

fof(f3285,plain,
    ( sK116 = pred(pred(n2))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_509
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3284,f1064]) ).

fof(f3284,plain,
    ( sK116 = pred(pred(pred(n3)))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_509
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3283,f1108]) ).

fof(f3283,plain,
    ( pred(pred(pred(pred(n4)))) = sK116
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_509
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3282,f1028]) ).

fof(f3282,plain,
    ( sK116 = pred(pred(pred(pred(pred(n5)))))
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_509
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3281,f1100]) ).

fof(f3281,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK116
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_509
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3280,f1048]) ).

fof(f3280,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK116
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_509
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3279,f1080]) ).

fof(f3279,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK116
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_509
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3278,f1104]) ).

fof(f3278,plain,
    ( sK116 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_509
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3277,f1068]) ).

fof(f3277,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10)))))))))) = sK116
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_509
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3276,f1076]) ).

fof(f3276,plain,
    ( sK116 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11)))))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_509
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3275,f1120]) ).

fof(f3275,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK116
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_509
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3274,f1056]) ).

fof(f3274,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK116
    | ~ spl122_122
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_509
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3273,f1084]) ).

fof(f3273,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK116
    | ~ spl122_122
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_509
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3272,f1020]) ).

fof(f3272,plain,
    ( sK116 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_509
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3250,f1132]) ).

fof(f3250,plain,
    ( sK116 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_509
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(backward_demodulation,[],[f2565,f3208]) ).

fof(f3208,plain,
    ( n0 = sK98
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3207,f1264]) ).

fof(f3207,plain,
    ( sum(n15,n1) = sK98
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3206,f1424]) ).

fof(f3206,plain,
    ( sK98 = sum(n15,sum(n1,n0))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3205,f1264]) ).

fof(f3205,plain,
    ( sum(n15,sum(n1,sum(n15,n1))) = sK98
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3204,f1132]) ).

fof(f3204,plain,
    ( sum(n15,sum(n1,sum(pred(n0),n1))) = sK98
    | ~ spl122_139
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3203,f3184]) ).

fof(f3184,plain,
    ( n0 = sK103
    | ~ spl122_587 ),
    inference(avatar_component_clause,[],[f3183]) ).

fof(f3203,plain,
    ( sum(n15,sum(n1,sum(pred(sK103),n1))) = sK98
    | ~ spl122_139
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3202,f1088]) ).

fof(f3202,plain,
    ( sum(n15,sum(n1,sum(pred(sK103),succ(n0)))) = sK98
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3194,f3188]) ).

fof(f3188,plain,
    ( n0 = sK94
    | ~ spl122_588 ),
    inference(avatar_component_clause,[],[f3187]) ).

fof(f3194,plain,
    ( sum(n15,sum(n1,sum(pred(sK103),succ(sK94)))) = sK98
    | ~ spl122_589 ),
    inference(avatar_component_clause,[],[f3193]) ).

fof(f2565,plain,
    ( sK116 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK98))))))))))))))))
    | ~ spl122_509 ),
    inference(avatar_component_clause,[],[f2564]) ).

fof(f3301,plain,
    ( spl122_594
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_499
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(avatar_split_clause,[],[f3271,f3193,f3187,f3183,f2524,f1423,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f3299]) ).

fof(f2524,plain,
    ( spl122_499
  <=> sK85 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK98)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_499])]) ).

fof(f3271,plain,
    ( n0 = sK85
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_499
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3270,f1016]) ).

fof(f3270,plain,
    ( succ(n15) = sK85
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_499
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3269,f1072]) ).

fof(f3269,plain,
    ( sK85 = succ(succ(n14))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_499
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3268,f1116]) ).

fof(f3268,plain,
    ( sK85 = succ(succ(succ(n13)))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_499
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3267,f1044]) ).

fof(f3267,plain,
    ( sK85 = succ(succ(succ(succ(n12))))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_499
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3266,f1024]) ).

fof(f3266,plain,
    ( sK85 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_499
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3265,f1112]) ).

fof(f3265,plain,
    ( sK85 = succ(succ(succ(succ(succ(succ(n10))))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_499
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3264,f1040]) ).

fof(f3264,plain,
    ( sK85 = succ(succ(succ(succ(succ(succ(succ(n9)))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_499
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3263,f1124]) ).

fof(f3263,plain,
    ( sK85 = succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_499
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3262,f1060]) ).

fof(f3262,plain,
    ( sK85 = succ(succ(succ(succ(succ(succ(succ(succ(succ(n7)))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_499
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3261,f1128]) ).

fof(f3261,plain,
    ( sK85 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_499
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3260,f1136]) ).

fof(f3260,plain,
    ( sK85 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5)))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_499
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3259,f1092]) ).

fof(f3259,plain,
    ( sK85 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_499
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3258,f1052]) ).

fof(f3258,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK85
    | ~ spl122_126
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_499
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3257,f1036]) ).

fof(f3257,plain,
    ( sK85 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_499
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3256,f1140]) ).

fof(f3256,plain,
    ( sK85 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1)))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_499
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(forward_demodulation,[],[f3251,f1088]) ).

fof(f3251,plain,
    ( sK85 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0))))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_499
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(backward_demodulation,[],[f2525,f3208]) ).

fof(f2525,plain,
    ( sK85 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK98))))))))))))))))
    | ~ spl122_499 ),
    inference(avatar_component_clause,[],[f2524]) ).

fof(f3297,plain,
    ( spl122_593
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_463
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(avatar_split_clause,[],[f3249,f3147,f3132,f2380,f1827,f1263,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f3295]) ).

fof(f2380,plain,
    ( spl122_463
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK28)))))))))))))))) = sK9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_463])]) ).

fof(f3249,plain,
    ( n0 = sK9
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_463
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3248,f1016]) ).

fof(f3248,plain,
    ( succ(n15) = sK9
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_463
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3247,f1072]) ).

fof(f3247,plain,
    ( sK9 = succ(succ(n14))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_463
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3246,f1116]) ).

fof(f3246,plain,
    ( sK9 = succ(succ(succ(n13)))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_463
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3245,f1044]) ).

fof(f3245,plain,
    ( succ(succ(succ(succ(n12)))) = sK9
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_463
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3244,f1024]) ).

fof(f3244,plain,
    ( sK9 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_463
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3243,f1112]) ).

fof(f3243,plain,
    ( succ(succ(succ(succ(succ(succ(n10)))))) = sK9
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_463
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3242,f1040]) ).

fof(f3242,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n9))))))) = sK9
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_463
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3241,f1124]) ).

fof(f3241,plain,
    ( sK9 = succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_463
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3240,f1060]) ).

fof(f3240,plain,
    ( sK9 = succ(succ(succ(succ(succ(succ(succ(succ(succ(n7)))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_463
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3239,f1128]) ).

fof(f3239,plain,
    ( sK9 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_463
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3238,f1136]) ).

fof(f3238,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5))))))))))) = sK9
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_463
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3237,f1092]) ).

fof(f3237,plain,
    ( sK9 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_463
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3236,f1052]) ).

fof(f3236,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK9
    | ~ spl122_126
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_463
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3235,f1036]) ).

fof(f3235,plain,
    ( sK9 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2))))))))))))))
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_463
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3234,f1140]) ).

fof(f3234,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1))))))))))))))) = sK9
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_463
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(forward_demodulation,[],[f3210,f1088]) ).

fof(f3210,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))))))))))) = sK9
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_463
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(backward_demodulation,[],[f2381,f3201]) ).

fof(f2381,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK28)))))))))))))))) = sK9
    | ~ spl122_463 ),
    inference(avatar_component_clause,[],[f2380]) ).

fof(f3292,plain,
    ( spl122_592
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_491
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(avatar_split_clause,[],[f3231,f3147,f3132,f2492,f1827,f1263,f1131,f1119,f1107,f1103,f1099,f1095,f1087,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f3290]) ).

fof(f3290,plain,
    ( spl122_592
  <=> n0 = sK69 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_592])]) ).

fof(f3255,plain,
    ( spl122_591
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_223
    | ~ spl122_587
    | ~ spl122_588
    | ~ spl122_589 ),
    inference(avatar_split_clause,[],[f3208,f3193,f3187,f3183,f1423,f1263,f1131,f1087,f3253]) ).

fof(f3215,plain,
    ( spl122_590
    | ~ spl122_139
    | ~ spl122_150
    | ~ spl122_183
    | ~ spl122_324
    | ~ spl122_585
    | ~ spl122_586 ),
    inference(avatar_split_clause,[],[f3201,f3147,f3132,f1827,f1263,f1131,f1087,f3213]) ).

fof(f3213,plain,
    ( spl122_590
  <=> n0 = sK28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_590])]) ).

fof(f3195,plain,
    ( spl122_589
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_425
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579
    | ~ spl122_584 ),
    inference(avatar_split_clause,[],[f3191,f3128,f3031,f2919,f2904,f2344,f2272,f2228,f2099,f1827,f1563,f1223,f1139,f1135,f1131,f1127,f1123,f1115,f1111,f1099,f1091,f1087,f1079,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f3193]) ).

fof(f1223,plain,
    ( spl122_173
  <=> n0 = sum(n7,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_173])]) ).

fof(f1563,plain,
    ( spl122_258
  <=> n12 = sum(n5,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_258])]) ).

fof(f2099,plain,
    ( spl122_392
  <=> n8 = sum(n12,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_392])]) ).

fof(f2228,plain,
    ( spl122_425
  <=> sum(pred(sK105),sum(succ(sK45),sum(pred(sK103),succ(sK94)))) = sK98 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_425])]) ).

fof(f2272,plain,
    ( spl122_436
  <=> sum(sum(pred(sK71),succ(sK106)),sum(pred(sK106),succ(sK71))) = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_436])]) ).

fof(f2344,plain,
    ( spl122_454
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK23)))))))))))))))) = sK105 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_454])]) ).

fof(f2904,plain,
    ( spl122_572
  <=> sum(sum(n5,succ(sK91)),sum(pred(sK91),n7)) = sK71 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_572])]) ).

fof(f2919,plain,
    ( spl122_573
  <=> n6 = sK91 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_573])]) ).

fof(f3031,plain,
    ( spl122_579
  <=> n8 = sK106 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_579])]) ).

fof(f3128,plain,
    ( spl122_584
  <=> n0 = sK45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_584])]) ).

fof(f3191,plain,
    ( sum(n15,sum(n1,sum(pred(sK103),succ(sK94)))) = sK98
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_425
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579
    | ~ spl122_584 ),
    inference(forward_demodulation,[],[f3190,f1088]) ).

fof(f3190,plain,
    ( sum(n15,sum(succ(n0),sum(pred(sK103),succ(sK94)))) = sK98
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_425
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579
    | ~ spl122_584 ),
    inference(forward_demodulation,[],[f3126,f3129]) ).

fof(f3129,plain,
    ( n0 = sK45
    | ~ spl122_584 ),
    inference(avatar_component_clause,[],[f3128]) ).

fof(f3126,plain,
    ( sum(n15,sum(succ(sK45),sum(pred(sK103),succ(sK94)))) = sK98
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_425
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3121,f1132]) ).

fof(f3121,plain,
    ( sK98 = sum(pred(n0),sum(succ(sK45),sum(pred(sK103),succ(sK94))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_425
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(backward_demodulation,[],[f2229,f3102]) ).

fof(f3102,plain,
    ( n0 = sK105
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3101,f1016]) ).

fof(f3101,plain,
    ( succ(n15) = sK105
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3100,f1072]) ).

fof(f3100,plain,
    ( sK105 = succ(succ(n14))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3099,f1116]) ).

fof(f3099,plain,
    ( sK105 = succ(succ(succ(n13)))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3098,f1044]) ).

fof(f3098,plain,
    ( sK105 = succ(succ(succ(succ(n12))))
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3097,f1024]) ).

fof(f3097,plain,
    ( sK105 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3096,f1112]) ).

fof(f3096,plain,
    ( sK105 = succ(succ(succ(succ(succ(succ(n10))))))
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3095,f1040]) ).

fof(f3095,plain,
    ( sK105 = succ(succ(succ(succ(succ(succ(succ(n9)))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3094,f1124]) ).

fof(f3094,plain,
    ( sK105 = succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3093,f1060]) ).

fof(f3093,plain,
    ( sK105 = succ(succ(succ(succ(succ(succ(succ(succ(succ(n7)))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3092,f1128]) ).

fof(f3092,plain,
    ( sK105 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3091,f1136]) ).

fof(f3091,plain,
    ( sK105 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5)))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3090,f1092]) ).

fof(f3090,plain,
    ( sK105 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_126
    | ~ spl122_130
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3089,f1052]) ).

fof(f3089,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK105
    | ~ spl122_126
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3088,f1036]) ).

fof(f3088,plain,
    ( sK105 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2))))))))))))))
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3087,f1140]) ).

fof(f3087,plain,
    ( sK105 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1)))))))))))))))
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3081,f1088]) ).

fof(f3081,plain,
    ( sK105 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0))))))))))))))))
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(backward_demodulation,[],[f2345,f3079]) ).

fof(f3079,plain,
    ( n0 = sK23
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3078,f1828]) ).

fof(f3078,plain,
    ( sum(n0,n0) = sK23
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3077,f1224]) ).

fof(f1224,plain,
    ( n0 = sum(n7,n9)
    | ~ spl122_173 ),
    inference(avatar_component_clause,[],[f1223]) ).

fof(f3077,plain,
    ( sum(sum(n7,n9),n0) = sK23
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3076,f1124]) ).

fof(f3076,plain,
    ( sum(sum(n7,succ(n8)),n0) = sK23
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3075,f1224]) ).

fof(f3075,plain,
    ( sum(sum(n7,succ(n8)),sum(n7,n9)) = sK23
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3074,f1080]) ).

fof(f3074,plain,
    ( sum(sum(n7,succ(n8)),sum(pred(n8),n9)) = sK23
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3012,f3032]) ).

fof(f3032,plain,
    ( n8 = sK106
    | ~ spl122_579 ),
    inference(avatar_component_clause,[],[f3031]) ).

fof(f3012,plain,
    ( sum(sum(n7,succ(sK106)),sum(pred(sK106),n9)) = sK23
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f3011,f1080]) ).

fof(f3011,plain,
    ( sum(sum(pred(n8),succ(sK106)),sum(pred(sK106),n9)) = sK23
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2974,f1124]) ).

fof(f2974,plain,
    ( sum(sum(pred(n8),succ(sK106)),sum(pred(sK106),succ(n8))) = sK23
    | ~ spl122_142
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(backward_demodulation,[],[f2273,f2971]) ).

fof(f2971,plain,
    ( n8 = sK71
    | ~ spl122_142
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2970,f2100]) ).

fof(f2100,plain,
    ( n8 = sum(n12,n12)
    | ~ spl122_392 ),
    inference(avatar_component_clause,[],[f2099]) ).

fof(f2970,plain,
    ( sum(n12,n12) = sK71
    | ~ spl122_142
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2969,f1564]) ).

fof(f1564,plain,
    ( n12 = sum(n5,n7)
    | ~ spl122_258 ),
    inference(avatar_component_clause,[],[f1563]) ).

fof(f2969,plain,
    ( sum(sum(n5,n7),n12) = sK71
    | ~ spl122_142
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2968,f1128]) ).

fof(f2968,plain,
    ( sK71 = sum(sum(n5,succ(n6)),n12)
    | ~ spl122_142
    | ~ spl122_258
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2967,f1564]) ).

fof(f2967,plain,
    ( sum(sum(n5,succ(n6)),sum(n5,n7)) = sK71
    | ~ spl122_142
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2966,f1100]) ).

fof(f2966,plain,
    ( sum(sum(n5,succ(n6)),sum(pred(n6),n7)) = sK71
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2905,f2920]) ).

fof(f2920,plain,
    ( n6 = sK91
    | ~ spl122_573 ),
    inference(avatar_component_clause,[],[f2919]) ).

fof(f2905,plain,
    ( sum(sum(n5,succ(sK91)),sum(pred(sK91),n7)) = sK71
    | ~ spl122_572 ),
    inference(avatar_component_clause,[],[f2904]) ).

fof(f2273,plain,
    ( sum(sum(pred(sK71),succ(sK106)),sum(pred(sK106),succ(sK71))) = sK23
    | ~ spl122_436 ),
    inference(avatar_component_clause,[],[f2272]) ).

fof(f2345,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK23)))))))))))))))) = sK105
    | ~ spl122_454 ),
    inference(avatar_component_clause,[],[f2344]) ).

fof(f2229,plain,
    ( sum(pred(sK105),sum(succ(sK45),sum(pred(sK103),succ(sK94)))) = sK98
    | ~ spl122_425 ),
    inference(avatar_component_clause,[],[f2228]) ).

fof(f3189,plain,
    ( spl122_588
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_516
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(avatar_split_clause,[],[f3181,f3071,f3067,f3020,f2919,f2904,f2592,f2340,f2256,f2099,f1563,f1251,f1223,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f3187]) ).

fof(f1251,plain,
    ( spl122_180
  <=> n9 = sum(n9,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_180])]) ).

fof(f2256,plain,
    ( spl122_432
  <=> sK8 = sum(pred(sK95),sum(succ(sK80),sum(pred(sK68),succ(sK49)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_432])]) ).

fof(f2340,plain,
    ( spl122_453
  <=> sK95 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK71)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_453])]) ).

fof(f2592,plain,
    ( spl122_516
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8)))))))))))))))) = sK94 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_516])]) ).

fof(f3020,plain,
    ( spl122_578
  <=> n8 = sK80 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_578])]) ).

fof(f3067,plain,
    ( spl122_580
  <=> n8 = sK49 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_580])]) ).

fof(f3071,plain,
    ( spl122_581
  <=> n8 = sK68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_581])]) ).

fof(f3181,plain,
    ( n0 = sK94
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_516
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3180,f1032]) ).

fof(f3180,plain,
    ( pred(n1) = sK94
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_516
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3179,f1096]) ).

fof(f3179,plain,
    ( sK94 = pred(pred(n2))
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_516
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3178,f1064]) ).

fof(f3178,plain,
    ( pred(pred(pred(n3))) = sK94
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_516
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3177,f1108]) ).

fof(f3177,plain,
    ( pred(pred(pred(pred(n4)))) = sK94
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_516
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3176,f1028]) ).

fof(f3176,plain,
    ( pred(pred(pred(pred(pred(n5))))) = sK94
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_516
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3175,f1100]) ).

fof(f3175,plain,
    ( pred(pred(pred(pred(pred(pred(n6)))))) = sK94
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_516
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3174,f1048]) ).

fof(f3174,plain,
    ( pred(pred(pred(pred(pred(pred(pred(n7))))))) = sK94
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_516
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3173,f1080]) ).

fof(f3173,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))) = sK94
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_516
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3172,f1104]) ).

fof(f3172,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(n9))))))))) = sK94
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_516
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3171,f1068]) ).

fof(f3171,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10)))))))))) = sK94
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_516
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3170,f1076]) ).

fof(f3170,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11))))))))))) = sK94
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_516
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3169,f1120]) ).

fof(f3169,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))) = sK94
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_516
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3168,f1056]) ).

fof(f3168,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))) = sK94
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_516
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3167,f1084]) ).

fof(f3167,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))) = sK94
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_516
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3166,f1020]) ).

fof(f3166,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15))))))))))))))) = sK94
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_516
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3144,f1132]) ).

fof(f3144,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0)))))))))))))))) = sK94
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_516
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(backward_demodulation,[],[f2593,f3143]) ).

fof(f3143,plain,
    ( n0 = sK8
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3142,f1224]) ).

fof(f3142,plain,
    ( sum(n7,n9) = sK8
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3141,f1252]) ).

fof(f1252,plain,
    ( n9 = sum(n9,n0)
    | ~ spl122_180 ),
    inference(avatar_component_clause,[],[f1251]) ).

fof(f3141,plain,
    ( sK8 = sum(n7,sum(n9,n0))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3140,f1124]) ).

fof(f3140,plain,
    ( sum(n7,sum(succ(n8),n0)) = sK8
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3139,f3021]) ).

fof(f3021,plain,
    ( n8 = sK80
    | ~ spl122_578 ),
    inference(avatar_component_clause,[],[f3020]) ).

fof(f3139,plain,
    ( sK8 = sum(n7,sum(succ(sK80),n0))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3138,f1224]) ).

fof(f3138,plain,
    ( sum(n7,sum(succ(sK80),sum(n7,n9))) = sK8
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3137,f1080]) ).

fof(f3137,plain,
    ( sum(n7,sum(succ(sK80),sum(pred(n8),n9))) = sK8
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3136,f3072]) ).

fof(f3072,plain,
    ( n8 = sK68
    | ~ spl122_581 ),
    inference(avatar_component_clause,[],[f3071]) ).

fof(f3136,plain,
    ( sum(n7,sum(succ(sK80),sum(pred(sK68),n9))) = sK8
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_580 ),
    inference(forward_demodulation,[],[f3135,f1124]) ).

fof(f3135,plain,
    ( sum(n7,sum(succ(sK80),sum(pred(sK68),succ(n8)))) = sK8
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_580 ),
    inference(forward_demodulation,[],[f3018,f3068]) ).

fof(f3068,plain,
    ( n8 = sK49
    | ~ spl122_580 ),
    inference(avatar_component_clause,[],[f3067]) ).

fof(f3018,plain,
    ( sK8 = sum(n7,sum(succ(sK80),sum(pred(sK68),succ(sK49))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f3013,f1080]) ).

fof(f3013,plain,
    ( sK8 = sum(pred(n8),sum(succ(sK80),sum(pred(sK68),succ(sK49))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(backward_demodulation,[],[f2257,f2994]) ).

fof(f2994,plain,
    ( n8 = sK95
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2993,f1060]) ).

fof(f2993,plain,
    ( succ(n7) = sK95
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2992,f1128]) ).

fof(f2992,plain,
    ( sK95 = succ(succ(n6))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2991,f1136]) ).

fof(f2991,plain,
    ( sK95 = succ(succ(succ(n5)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_152
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2990,f1092]) ).

fof(f2990,plain,
    ( sK95 = succ(succ(succ(succ(n4))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_152
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2989,f1052]) ).

fof(f2989,plain,
    ( sK95 = succ(succ(succ(succ(succ(n3)))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_152
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2988,f1036]) ).

fof(f2988,plain,
    ( sK95 = succ(succ(succ(succ(succ(succ(n2))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_152
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2987,f1140]) ).

fof(f2987,plain,
    ( sK95 = succ(succ(succ(succ(succ(succ(succ(n1)))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2986,f1088]) ).

fof(f2986,plain,
    ( sK95 = succ(succ(succ(succ(succ(succ(succ(succ(n0))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_135
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2985,f1016]) ).

fof(f2985,plain,
    ( sK95 = succ(succ(succ(succ(succ(succ(succ(succ(succ(n15)))))))))
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_135
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2984,f1072]) ).

fof(f2984,plain,
    ( sK95 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n14))))))))))
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2983,f1116]) ).

fof(f2983,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n13))))))))))) = sK95
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2982,f1044]) ).

fof(f2982,plain,
    ( sK95 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n12))))))))))))
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2981,f1024]) ).

fof(f2981,plain,
    ( sK95 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n11)))))))))))))
    | ~ spl122_127
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2980,f1112]) ).

fof(f2980,plain,
    ( sK95 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n10))))))))))))))
    | ~ spl122_127
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2979,f1040]) ).

fof(f2979,plain,
    ( sK95 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n9)))))))))))))))
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2973,f1124]) ).

fof(f2973,plain,
    ( sK95 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))))))))))
    | ~ spl122_142
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(backward_demodulation,[],[f2341,f2971]) ).

fof(f2341,plain,
    ( sK95 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK71))))))))))))))))
    | ~ spl122_453 ),
    inference(avatar_component_clause,[],[f2340]) ).

fof(f2257,plain,
    ( sK8 = sum(pred(sK95),sum(succ(sK80),sum(pred(sK68),succ(sK49))))
    | ~ spl122_432 ),
    inference(avatar_component_clause,[],[f2256]) ).

fof(f2593,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8)))))))))))))))) = sK94
    | ~ spl122_516 ),
    inference(avatar_component_clause,[],[f2592]) ).

fof(f3185,plain,
    ( spl122_587
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_501
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(avatar_split_clause,[],[f3165,f3071,f3067,f3020,f2919,f2904,f2532,f2340,f2256,f2099,f1563,f1251,f1223,f1139,f1135,f1127,f1123,f1115,f1111,f1099,f1091,f1087,f1079,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f3183]) ).

fof(f2532,plain,
    ( spl122_501
  <=> sK103 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_501])]) ).

fof(f3165,plain,
    ( n0 = sK103
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_501
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3164,f1016]) ).

fof(f3164,plain,
    ( succ(n15) = sK103
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_501
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3163,f1072]) ).

fof(f3163,plain,
    ( sK103 = succ(succ(n14))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_501
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3162,f1116]) ).

fof(f3162,plain,
    ( sK103 = succ(succ(succ(n13)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_501
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3161,f1044]) ).

fof(f3161,plain,
    ( sK103 = succ(succ(succ(succ(n12))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_501
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3160,f1024]) ).

fof(f3160,plain,
    ( sK103 = succ(succ(succ(succ(succ(n11)))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_501
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3159,f1112]) ).

fof(f3159,plain,
    ( sK103 = succ(succ(succ(succ(succ(succ(n10))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_501
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3158,f1040]) ).

fof(f3158,plain,
    ( sK103 = succ(succ(succ(succ(succ(succ(succ(n9)))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_501
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3157,f1124]) ).

fof(f3157,plain,
    ( sK103 = succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_501
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3156,f1060]) ).

fof(f3156,plain,
    ( sK103 = succ(succ(succ(succ(succ(succ(succ(succ(succ(n7)))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_501
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3155,f1128]) ).

fof(f3155,plain,
    ( sK103 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_501
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3154,f1136]) ).

fof(f3154,plain,
    ( sK103 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5)))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_501
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3153,f1092]) ).

fof(f3153,plain,
    ( sK103 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_501
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3152,f1052]) ).

fof(f3152,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3))))))))))))) = sK103
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_501
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3151,f1036]) ).

fof(f3151,plain,
    ( sK103 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n2))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_501
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3150,f1140]) ).

fof(f3150,plain,
    ( sK103 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n1)))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_501
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(forward_demodulation,[],[f3145,f1088]) ).

fof(f3145,plain,
    ( sK103 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n0))))))))))))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_501
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(backward_demodulation,[],[f2533,f3143]) ).

fof(f2533,plain,
    ( sK103 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8))))))))))))))))
    | ~ spl122_501 ),
    inference(avatar_component_clause,[],[f2532]) ).

fof(f3149,plain,
    ( spl122_586
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_180
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_432
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_578
    | ~ spl122_580
    | ~ spl122_581 ),
    inference(avatar_split_clause,[],[f3143,f3071,f3067,f3020,f2919,f2904,f2340,f2256,f2099,f1563,f1251,f1223,f1139,f1135,f1127,f1123,f1115,f1111,f1099,f1091,f1087,f1079,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f3147]) ).

fof(f3134,plain,
    ( spl122_585
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_418
    | ~ spl122_436
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(avatar_split_clause,[],[f3104,f3031,f2919,f2904,f2272,f2200,f2099,f1827,f1563,f1223,f1131,f1127,f1123,f1099,f1087,f1079,f3132]) ).

fof(f2200,plain,
    ( spl122_418
  <=> sum(sum(pred(sK23),succ(sK8)),sum(pred(sK8),succ(sK23))) = sK28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_418])]) ).

fof(f3104,plain,
    ( sum(sum(n15,succ(sK8)),sum(pred(sK8),n1)) = sK28
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_418
    | ~ spl122_436
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3103,f1132]) ).

fof(f3103,plain,
    ( sum(sum(pred(n0),succ(sK8)),sum(pred(sK8),n1)) = sK28
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_418
    | ~ spl122_436
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3082,f1088]) ).

fof(f3082,plain,
    ( sum(sum(pred(n0),succ(sK8)),sum(pred(sK8),succ(n0))) = sK28
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_418
    | ~ spl122_436
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(backward_demodulation,[],[f2201,f3079]) ).

fof(f2201,plain,
    ( sum(sum(pred(sK23),succ(sK8)),sum(pred(sK8),succ(sK23))) = sK28
    | ~ spl122_418 ),
    inference(avatar_component_clause,[],[f2200]) ).

fof(f3130,plain,
    ( spl122_584
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_518
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(avatar_split_clause,[],[f3120,f3031,f2919,f2904,f2600,f2272,f2099,f1827,f1563,f1223,f1131,f1127,f1123,f1119,f1107,f1103,f1099,f1095,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f3128]) ).

fof(f2600,plain,
    ( spl122_518
  <=> sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK23)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_518])]) ).

fof(f3120,plain,
    ( n0 = sK45
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_518
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3119,f1032]) ).

fof(f3119,plain,
    ( pred(n1) = sK45
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_518
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3118,f1096]) ).

fof(f3118,plain,
    ( sK45 = pred(pred(n2))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_518
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3117,f1064]) ).

fof(f3117,plain,
    ( sK45 = pred(pred(pred(n3)))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_518
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3116,f1108]) ).

fof(f3116,plain,
    ( sK45 = pred(pred(pred(pred(n4))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_518
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3115,f1028]) ).

fof(f3115,plain,
    ( sK45 = pred(pred(pred(pred(pred(n5)))))
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_518
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3114,f1100]) ).

fof(f3114,plain,
    ( sK45 = pred(pred(pred(pred(pred(pred(n6))))))
    | ~ spl122_122
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_518
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3113,f1048]) ).

fof(f3113,plain,
    ( sK45 = pred(pred(pred(pred(pred(pred(pred(n7)))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_518
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3112,f1080]) ).

fof(f3112,plain,
    ( sK45 = pred(pred(pred(pred(pred(pred(pred(pred(n8))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_518
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3111,f1104]) ).

fof(f3111,plain,
    ( sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n9)))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_142
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_518
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3110,f1068]) ).

fof(f3110,plain,
    ( sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10))))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_142
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_518
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3109,f1076]) ).

fof(f3109,plain,
    ( sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11)))))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_142
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_518
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3108,f1120]) ).

fof(f3108,plain,
    ( sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12))))))))))))
    | ~ spl122_122
    | ~ spl122_131
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_518
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3107,f1056]) ).

fof(f3107,plain,
    ( sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13)))))))))))))
    | ~ spl122_122
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_518
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3106,f1084]) ).

fof(f3106,plain,
    ( sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14))))))))))))))
    | ~ spl122_122
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_518
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3105,f1020]) ).

fof(f3105,plain,
    ( sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))))))))
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_518
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(forward_demodulation,[],[f3080,f1132]) ).

fof(f3080,plain,
    ( sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))))))))
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_518
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(backward_demodulation,[],[f2601,f3079]) ).

fof(f2601,plain,
    ( sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK23))))))))))))))))
    | ~ spl122_518 ),
    inference(avatar_component_clause,[],[f2600]) ).

fof(f3125,plain,
    ( spl122_583
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_454
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(avatar_split_clause,[],[f3102,f3031,f2919,f2904,f2344,f2272,f2099,f1827,f1563,f1223,f1139,f1135,f1127,f1123,f1115,f1111,f1099,f1091,f1087,f1079,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f3123]) ).

fof(f3123,plain,
    ( spl122_583
  <=> n0 = sK105 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_583])]) ).

fof(f3086,plain,
    ( spl122_582
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_173
    | ~ spl122_258
    | ~ spl122_324
    | ~ spl122_392
    | ~ spl122_436
    | ~ spl122_572
    | ~ spl122_573
    | ~ spl122_579 ),
    inference(avatar_split_clause,[],[f3079,f3031,f2919,f2904,f2272,f2099,f1827,f1563,f1223,f1127,f1123,f1099,f1079,f3084]) ).

fof(f3084,plain,
    ( spl122_582
  <=> n0 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_582])]) ).

fof(f3073,plain,
    ( spl122_581
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_475
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(avatar_split_clause,[],[f3065,f2959,f2955,f2900,f2746,f2660,f2428,f2396,f2328,f2324,f1803,f1663,f1627,f1563,f1479,f1211,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f3071]) ).

fof(f1211,plain,
    ( spl122_170
  <=> n11 = sum(n7,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_170])]) ).

fof(f1479,plain,
    ( spl122_237
  <=> n3 = sum(n7,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_237])]) ).

fof(f1627,plain,
    ( spl122_274
  <=> n6 = sum(n11,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_274])]) ).

fof(f1663,plain,
    ( spl122_283
  <=> n8 = sum(n5,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_283])]) ).

fof(f1803,plain,
    ( spl122_318
  <=> n11 = sum(n2,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_318])]) ).

fof(f2324,plain,
    ( spl122_449
  <=> sum(pred(sK24),sum(succ(sK7),sum(pred(sK56),succ(sK104)))) = sK106 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_449])]) ).

fof(f2328,plain,
    ( spl122_450
  <=> sK13 = sum(sum(pred(sK114),succ(sK84)),sum(pred(sK84),succ(sK114))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_450])]) ).

fof(f2396,plain,
    ( spl122_467
  <=> sK7 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_467])]) ).

fof(f2428,plain,
    ( spl122_475
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK106)))))))))))))))) = sK68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_475])]) ).

fof(f2660,plain,
    ( spl122_533
  <=> n3 = sK84 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_533])]) ).

fof(f2746,plain,
    ( spl122_549
  <=> n8 = sK114 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_549])]) ).

fof(f2900,plain,
    ( spl122_571
  <=> n6 = sK24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_571])]) ).

fof(f2955,plain,
    ( spl122_574
  <=> n6 = sK56 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_574])]) ).

fof(f2959,plain,
    ( spl122_575
  <=> n6 = sK104 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_575])]) ).

fof(f3065,plain,
    ( n8 = sK68
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_475
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3064,f1060]) ).

fof(f3064,plain,
    ( succ(n7) = sK68
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_475
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3063,f1128]) ).

fof(f3063,plain,
    ( succ(succ(n6)) = sK68
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_475
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3062,f1136]) ).

fof(f3062,plain,
    ( succ(succ(succ(n5))) = sK68
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_475
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3061,f1092]) ).

fof(f3061,plain,
    ( succ(succ(succ(succ(n4)))) = sK68
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_475
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3060,f1052]) ).

fof(f3060,plain,
    ( succ(succ(succ(succ(succ(n3))))) = sK68
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_475
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3059,f1036]) ).

fof(f3059,plain,
    ( succ(succ(succ(succ(succ(succ(n2)))))) = sK68
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_475
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3058,f1140]) ).

fof(f3058,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n1))))))) = sK68
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_475
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3057,f1088]) ).

fof(f3057,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))) = sK68
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_475
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3056,f1016]) ).

fof(f3056,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n15))))))))) = sK68
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_475
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3055,f1072]) ).

fof(f3055,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n14)))))))))) = sK68
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_475
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3054,f1116]) ).

fof(f3054,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n13))))))))))) = sK68
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_475
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3053,f1044]) ).

fof(f3053,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n12)))))))))))) = sK68
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_475
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3052,f1024]) ).

fof(f3052,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n11))))))))))))) = sK68
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_475
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3051,f1112]) ).

fof(f3051,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n10)))))))))))))) = sK68
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_475
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3050,f1040]) ).

fof(f3050,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n9))))))))))))))) = sK68
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_475
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3028,f1124]) ).

fof(f3028,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n8)))))))))))))))) = sK68
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_475
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(backward_demodulation,[],[f2429,f3027]) ).

fof(f3027,plain,
    ( n8 = sK106
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3026,f1664]) ).

fof(f1664,plain,
    ( n8 = sum(n5,n3)
    | ~ spl122_283 ),
    inference(avatar_component_clause,[],[f1663]) ).

fof(f3026,plain,
    ( sum(n5,n3) = sK106
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3025,f1480]) ).

fof(f1480,plain,
    ( n3 = sum(n7,n12)
    | ~ spl122_237 ),
    inference(avatar_component_clause,[],[f1479]) ).

fof(f3025,plain,
    ( sum(n5,sum(n7,n12)) = sK106
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3024,f1564]) ).

fof(f3024,plain,
    ( sum(n5,sum(n7,sum(n5,n7))) = sK106
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3023,f1128]) ).

fof(f3023,plain,
    ( sum(n5,sum(n7,sum(n5,succ(n6)))) = sK106
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f2965,f2960]) ).

fof(f2960,plain,
    ( n6 = sK104
    | ~ spl122_575 ),
    inference(avatar_component_clause,[],[f2959]) ).

fof(f2965,plain,
    ( sum(n5,sum(n7,sum(n5,succ(sK104)))) = sK106
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574 ),
    inference(forward_demodulation,[],[f2964,f1100]) ).

fof(f2964,plain,
    ( sum(pred(n6),sum(n7,sum(n5,succ(sK104)))) = sK106
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574 ),
    inference(forward_demodulation,[],[f2963,f2901]) ).

fof(f2901,plain,
    ( n6 = sK24
    | ~ spl122_571 ),
    inference(avatar_component_clause,[],[f2900]) ).

fof(f2963,plain,
    ( sum(pred(sK24),sum(n7,sum(n5,succ(sK104)))) = sK106
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_574 ),
    inference(forward_demodulation,[],[f2962,f1100]) ).

fof(f2962,plain,
    ( sum(pred(sK24),sum(n7,sum(pred(n6),succ(sK104)))) = sK106
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_574 ),
    inference(forward_demodulation,[],[f2898,f2956]) ).

fof(f2956,plain,
    ( n6 = sK56
    | ~ spl122_574 ),
    inference(avatar_component_clause,[],[f2955]) ).

fof(f2898,plain,
    ( sum(pred(sK24),sum(n7,sum(pred(sK56),succ(sK104)))) = sK106
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2893,f1128]) ).

fof(f2893,plain,
    ( sum(pred(sK24),sum(succ(n6),sum(pred(sK56),succ(sK104)))) = sK106
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(backward_demodulation,[],[f2325,f2876]) ).

fof(f2876,plain,
    ( n6 = sK7
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2875,f1048]) ).

fof(f2875,plain,
    ( pred(n7) = sK7
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2874,f1080]) ).

fof(f2874,plain,
    ( sK7 = pred(pred(n8))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2873,f1104]) ).

fof(f2873,plain,
    ( pred(pred(pred(n9))) = sK7
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2872,f1068]) ).

fof(f2872,plain,
    ( sK7 = pred(pred(pred(pred(n10))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2871,f1076]) ).

fof(f2871,plain,
    ( pred(pred(pred(pred(pred(n11))))) = sK7
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2870,f1120]) ).

fof(f2870,plain,
    ( sK7 = pred(pred(pred(pred(pred(pred(n12))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2869,f1056]) ).

fof(f2869,plain,
    ( sK7 = pred(pred(pred(pred(pred(pred(pred(n13)))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2868,f1084]) ).

fof(f2868,plain,
    ( sK7 = pred(pred(pred(pred(pred(pred(pred(pred(n14))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2867,f1020]) ).

fof(f2867,plain,
    ( sK7 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2866,f1132]) ).

fof(f2866,plain,
    ( sK7 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_148
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2865,f1032]) ).

fof(f2865,plain,
    ( sK7 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n1)))))))))))
    | ~ spl122_124
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_148
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2864,f1096]) ).

fof(f2864,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n2)))))))))))) = sK7
    | ~ spl122_124
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_148
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2863,f1064]) ).

fof(f2863,plain,
    ( sK7 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n3)))))))))))))
    | ~ spl122_124
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_148
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2862,f1108]) ).

fof(f2862,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n4)))))))))))))) = sK7
    | ~ spl122_124
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2861,f1028]) ).

fof(f2861,plain,
    ( sK7 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n5)))))))))))))))
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2853,f1100]) ).

fof(f2853,plain,
    ( sK7 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n6))))))))))))))))
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_148
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(backward_demodulation,[],[f2397,f2851]) ).

fof(f2851,plain,
    ( n6 = sK13
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_148
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2850,f1628]) ).

fof(f1628,plain,
    ( n6 = sum(n11,n11)
    | ~ spl122_274 ),
    inference(avatar_component_clause,[],[f1627]) ).

fof(f2850,plain,
    ( sum(n11,n11) = sK13
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_148
    | ~ spl122_170
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2849,f1212]) ).

fof(f1212,plain,
    ( n11 = sum(n7,n4)
    | ~ spl122_170 ),
    inference(avatar_component_clause,[],[f1211]) ).

fof(f2849,plain,
    ( sum(sum(n7,n4),n11) = sK13
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_148
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2848,f1080]) ).

fof(f2848,plain,
    ( sK13 = sum(sum(pred(n8),n4),n11)
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_148
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2847,f1804]) ).

fof(f1804,plain,
    ( n11 = sum(n2,n9)
    | ~ spl122_318 ),
    inference(avatar_component_clause,[],[f1803]) ).

fof(f2847,plain,
    ( sK13 = sum(sum(pred(n8),n4),sum(n2,n9))
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_148
    | ~ spl122_450
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2846,f1124]) ).

fof(f2846,plain,
    ( sK13 = sum(sum(pred(n8),n4),sum(n2,succ(n8)))
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_450
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2712,f2747]) ).

fof(f2747,plain,
    ( n8 = sK114
    | ~ spl122_549 ),
    inference(avatar_component_clause,[],[f2746]) ).

fof(f2712,plain,
    ( sum(sum(pred(sK114),n4),sum(n2,succ(sK114))) = sK13
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_450
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2711,f1052]) ).

fof(f2711,plain,
    ( sum(sum(pred(sK114),succ(n3)),sum(n2,succ(sK114))) = sK13
    | ~ spl122_133
    | ~ spl122_450
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2710,f1064]) ).

fof(f2710,plain,
    ( sK13 = sum(sum(pred(sK114),succ(n3)),sum(pred(n3),succ(sK114)))
    | ~ spl122_450
    | ~ spl122_533 ),
    inference(backward_demodulation,[],[f2329,f2661]) ).

fof(f2661,plain,
    ( n3 = sK84
    | ~ spl122_533 ),
    inference(avatar_component_clause,[],[f2660]) ).

fof(f2329,plain,
    ( sK13 = sum(sum(pred(sK114),succ(sK84)),sum(pred(sK84),succ(sK114)))
    | ~ spl122_450 ),
    inference(avatar_component_clause,[],[f2328]) ).

fof(f2397,plain,
    ( sK7 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13))))))))))))))))
    | ~ spl122_467 ),
    inference(avatar_component_clause,[],[f2396]) ).

fof(f2325,plain,
    ( sum(pred(sK24),sum(succ(sK7),sum(pred(sK56),succ(sK104)))) = sK106
    | ~ spl122_449 ),
    inference(avatar_component_clause,[],[f2324]) ).

fof(f2429,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK106)))))))))))))))) = sK68
    | ~ spl122_475 ),
    inference(avatar_component_clause,[],[f2428]) ).

fof(f3069,plain,
    ( spl122_580
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_474
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(avatar_split_clause,[],[f3049,f2959,f2955,f2900,f2746,f2660,f2424,f2396,f2328,f2324,f1803,f1663,f1627,f1563,f1479,f1211,f1131,f1127,f1123,f1119,f1107,f1103,f1099,f1095,f1083,f1079,f1075,f1067,f1063,f1055,f1051,f1047,f1031,f1027,f1019,f3067]) ).

fof(f2424,plain,
    ( spl122_474
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK106)))))))))))))))) = sK49 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_474])]) ).

fof(f3049,plain,
    ( n8 = sK49
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_474
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3048,f1104]) ).

fof(f3048,plain,
    ( pred(n9) = sK49
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_474
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3047,f1068]) ).

fof(f3047,plain,
    ( sK49 = pred(pred(n10))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_474
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3046,f1076]) ).

fof(f3046,plain,
    ( sK49 = pred(pred(pred(n11)))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_474
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3045,f1120]) ).

fof(f3045,plain,
    ( sK49 = pred(pred(pred(pred(n12))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_474
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3044,f1056]) ).

fof(f3044,plain,
    ( sK49 = pred(pred(pred(pred(pred(n13)))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_474
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3043,f1084]) ).

fof(f3043,plain,
    ( pred(pred(pred(pred(pred(pred(n14)))))) = sK49
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_474
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3042,f1020]) ).

fof(f3042,plain,
    ( sK49 = pred(pred(pred(pred(pred(pred(pred(n15)))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_474
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3041,f1132]) ).

fof(f3041,plain,
    ( sK49 = pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_474
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3040,f1032]) ).

fof(f3040,plain,
    ( sK49 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n1)))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_474
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3039,f1096]) ).

fof(f3039,plain,
    ( sK49 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n2))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_474
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3038,f1064]) ).

fof(f3038,plain,
    ( sK49 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n3)))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_474
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3037,f1108]) ).

fof(f3037,plain,
    ( sK49 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n4))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_474
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3036,f1028]) ).

fof(f3036,plain,
    ( sK49 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n5)))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_474
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3035,f1100]) ).

fof(f3035,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n6)))))))))))))) = sK49
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_474
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3034,f1048]) ).

fof(f3034,plain,
    ( sK49 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n7)))))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_474
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(forward_demodulation,[],[f3029,f1080]) ).

fof(f3029,plain,
    ( sK49 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n8))))))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_474
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(backward_demodulation,[],[f2425,f3027]) ).

fof(f2425,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK106)))))))))))))))) = sK49
    | ~ spl122_474 ),
    inference(avatar_component_clause,[],[f2424]) ).

fof(f3033,plain,
    ( spl122_579
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_237
    | ~ spl122_258
    | ~ spl122_274
    | ~ spl122_283
    | ~ spl122_318
    | ~ spl122_449
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549
    | ~ spl122_571
    | ~ spl122_574
    | ~ spl122_575 ),
    inference(avatar_split_clause,[],[f3027,f2959,f2955,f2900,f2746,f2660,f2396,f2328,f2324,f1803,f1663,f1627,f1563,f1479,f1211,f1131,f1127,f1123,f1119,f1107,f1103,f1099,f1095,f1083,f1079,f1075,f1067,f1063,f1055,f1051,f1047,f1031,f1027,f1019,f3031]) ).

fof(f3022,plain,
    ( spl122_578
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_526
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(avatar_split_clause,[],[f3010,f2919,f2904,f2632,f2099,f1563,f1131,f1127,f1119,f1107,f1103,f1099,f1095,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f3020]) ).

fof(f2632,plain,
    ( spl122_526
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK71)))))))))))))))) = sK80 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_526])]) ).

fof(f3010,plain,
    ( n8 = sK80
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_526
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f3009,f1104]) ).

fof(f3009,plain,
    ( pred(n9) = sK80
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_526
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f3008,f1068]) ).

fof(f3008,plain,
    ( sK80 = pred(pred(n10))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_526
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f3007,f1076]) ).

fof(f3007,plain,
    ( sK80 = pred(pred(pred(n11)))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_526
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f3006,f1120]) ).

fof(f3006,plain,
    ( sK80 = pred(pred(pred(pred(n12))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_526
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f3005,f1056]) ).

fof(f3005,plain,
    ( sK80 = pred(pred(pred(pred(pred(n13)))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_526
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f3004,f1084]) ).

fof(f3004,plain,
    ( pred(pred(pred(pred(pred(pred(n14)))))) = sK80
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_526
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f3003,f1020]) ).

fof(f3003,plain,
    ( sK80 = pred(pred(pred(pred(pred(pred(pred(n15)))))))
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_526
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f3002,f1132]) ).

fof(f3002,plain,
    ( sK80 = pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_526
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f3001,f1032]) ).

fof(f3001,plain,
    ( sK80 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n1)))))))))
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_526
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f3000,f1096]) ).

fof(f3000,plain,
    ( sK80 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n2))))))))))
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_526
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2999,f1064]) ).

fof(f2999,plain,
    ( sK80 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n3)))))))))))
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_526
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2998,f1108]) ).

fof(f2998,plain,
    ( sK80 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n4))))))))))))
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_526
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2997,f1028]) ).

fof(f2997,plain,
    ( sK80 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n5)))))))))))))
    | ~ spl122_129
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_526
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2996,f1100]) ).

fof(f2996,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n6)))))))))))))) = sK80
    | ~ spl122_129
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_526
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2995,f1048]) ).

fof(f2995,plain,
    ( sK80 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n7)))))))))))))))
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_526
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(forward_demodulation,[],[f2972,f1080]) ).

fof(f2972,plain,
    ( sK80 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n8))))))))))))))))
    | ~ spl122_142
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_526
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(backward_demodulation,[],[f2633,f2971]) ).

fof(f2633,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK71)))))))))))))))) = sK80
    | ~ spl122_526 ),
    inference(avatar_component_clause,[],[f2632]) ).

fof(f3017,plain,
    ( spl122_577
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_142
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_453
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(avatar_split_clause,[],[f2994,f2919,f2904,f2340,f2099,f1563,f1139,f1135,f1127,f1123,f1115,f1111,f1099,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f3015]) ).

fof(f3015,plain,
    ( spl122_577
  <=> n8 = sK95 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_577])]) ).

fof(f2978,plain,
    ( spl122_576
    | ~ spl122_142
    | ~ spl122_149
    | ~ spl122_258
    | ~ spl122_392
    | ~ spl122_572
    | ~ spl122_573 ),
    inference(avatar_split_clause,[],[f2971,f2919,f2904,f2099,f1563,f1127,f1099,f2976]) ).

fof(f2976,plain,
    ( spl122_576
  <=> n8 = sK71 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_576])]) ).

fof(f2961,plain,
    ( spl122_575
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_472
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(avatar_split_clause,[],[f2953,f2843,f2839,f2835,f2660,f2416,f2352,f2252,f2023,f1323,f1175,f1131,f1123,f1119,f1107,f1103,f1099,f1095,f1083,f1079,f1075,f1067,f1063,f1055,f1051,f1047,f1031,f1027,f1019,f2959]) ).

fof(f1175,plain,
    ( spl122_161
  <=> n6 = sum(n7,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_161])]) ).

fof(f1323,plain,
    ( spl122_198
  <=> n6 = sum(n2,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_198])]) ).

fof(f2023,plain,
    ( spl122_373
  <=> n15 = sum(n9,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_373])]) ).

fof(f2252,plain,
    ( spl122_431
  <=> sK91 = sum(pred(sK76),sum(succ(sK19),sum(pred(sK35),succ(sK4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_431])]) ).

fof(f2352,plain,
    ( spl122_456
  <=> sK4 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK84)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_456])]) ).

fof(f2416,plain,
    ( spl122_472
  <=> sK104 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK91)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_472])]) ).

fof(f2835,plain,
    ( spl122_566
  <=> n3 = sK35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_566])]) ).

fof(f2839,plain,
    ( spl122_567
  <=> n8 = sK19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_567])]) ).

fof(f2843,plain,
    ( spl122_568
  <=> n8 = sK76 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_568])]) ).

fof(f2953,plain,
    ( n6 = sK104
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_472
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2952,f1048]) ).

fof(f2952,plain,
    ( pred(n7) = sK104
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_472
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2951,f1080]) ).

fof(f2951,plain,
    ( sK104 = pred(pred(n8))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_472
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2950,f1104]) ).

fof(f2950,plain,
    ( pred(pred(pred(n9))) = sK104
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_472
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2949,f1068]) ).

fof(f2949,plain,
    ( sK104 = pred(pred(pred(pred(n10))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_472
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2948,f1076]) ).

fof(f2948,plain,
    ( pred(pred(pred(pred(pred(n11))))) = sK104
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_472
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2947,f1120]) ).

fof(f2947,plain,
    ( sK104 = pred(pred(pred(pred(pred(pred(n12))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_472
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2946,f1056]) ).

fof(f2946,plain,
    ( sK104 = pred(pred(pred(pred(pred(pred(pred(n13)))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_472
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2945,f1084]) ).

fof(f2945,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))) = sK104
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_472
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2944,f1020]) ).

fof(f2944,plain,
    ( sK104 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n15)))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_472
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2943,f1132]) ).

fof(f2943,plain,
    ( sK104 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_472
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2942,f1032]) ).

fof(f2942,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n1))))))))))) = sK104
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_472
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2941,f1096]) ).

fof(f2941,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n2)))))))))))) = sK104
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_472
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2940,f1064]) ).

fof(f2940,plain,
    ( sK104 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n3)))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_472
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2939,f1108]) ).

fof(f2939,plain,
    ( pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n4)))))))))))))) = sK104
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_472
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2938,f1028]) ).

fof(f2938,plain,
    ( sK104 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n5)))))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_472
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2917,f1100]) ).

fof(f2917,plain,
    ( sK104 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n6))))))))))))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_472
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(backward_demodulation,[],[f2417,f2915]) ).

fof(f2915,plain,
    ( n6 = sK91
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2914,f1176]) ).

fof(f1176,plain,
    ( n6 = sum(n7,n15)
    | ~ spl122_161 ),
    inference(avatar_component_clause,[],[f1175]) ).

fof(f2914,plain,
    ( sum(n7,n15) = sK91
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2913,f1080]) ).

fof(f2913,plain,
    ( sum(pred(n8),n15) = sK91
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2912,f2844]) ).

fof(f2844,plain,
    ( n8 = sK76
    | ~ spl122_568 ),
    inference(avatar_component_clause,[],[f2843]) ).

fof(f2912,plain,
    ( sum(pred(sK76),n15) = sK91
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567 ),
    inference(forward_demodulation,[],[f2911,f2024]) ).

fof(f2024,plain,
    ( n15 = sum(n9,n6)
    | ~ spl122_373 ),
    inference(avatar_component_clause,[],[f2023]) ).

fof(f2911,plain,
    ( sum(pred(sK76),sum(n9,n6)) = sK91
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_198
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567 ),
    inference(forward_demodulation,[],[f2910,f1124]) ).

fof(f2910,plain,
    ( sK91 = sum(pred(sK76),sum(succ(n8),n6))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_198
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567 ),
    inference(forward_demodulation,[],[f2909,f2840]) ).

fof(f2840,plain,
    ( n8 = sK19
    | ~ spl122_567 ),
    inference(avatar_component_clause,[],[f2839]) ).

fof(f2909,plain,
    ( sK91 = sum(pred(sK76),sum(succ(sK19),n6))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_198
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_533
    | ~ spl122_566 ),
    inference(forward_demodulation,[],[f2908,f1324]) ).

fof(f1324,plain,
    ( n6 = sum(n2,n4)
    | ~ spl122_198 ),
    inference(avatar_component_clause,[],[f1323]) ).

fof(f2908,plain,
    ( sK91 = sum(pred(sK76),sum(succ(sK19),sum(n2,n4)))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_533
    | ~ spl122_566 ),
    inference(forward_demodulation,[],[f2907,f1064]) ).

fof(f2907,plain,
    ( sK91 = sum(pred(sK76),sum(succ(sK19),sum(pred(n3),n4)))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_533
    | ~ spl122_566 ),
    inference(forward_demodulation,[],[f2833,f2836]) ).

fof(f2836,plain,
    ( n3 = sK35
    | ~ spl122_566 ),
    inference(avatar_component_clause,[],[f2835]) ).

fof(f2833,plain,
    ( sum(pred(sK76),sum(succ(sK19),sum(pred(sK35),n4))) = sK91
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2828,f1052]) ).

fof(f2828,plain,
    ( sum(pred(sK76),sum(succ(sK19),sum(pred(sK35),succ(n3)))) = sK91
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_533 ),
    inference(backward_demodulation,[],[f2253,f2728]) ).

fof(f2728,plain,
    ( n3 = sK4
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_456
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2727,f1108]) ).

fof(f2727,plain,
    ( pred(n4) = sK4
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_456
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2726,f1028]) ).

fof(f2726,plain,
    ( sK4 = pred(pred(n5))
    | ~ spl122_122
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_456
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2725,f1100]) ).

fof(f2725,plain,
    ( sK4 = pred(pred(pred(n6)))
    | ~ spl122_122
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_456
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2724,f1048]) ).

fof(f2724,plain,
    ( sK4 = pred(pred(pred(pred(n7))))
    | ~ spl122_122
    | ~ spl122_125
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_456
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2723,f1080]) ).

fof(f2723,plain,
    ( sK4 = pred(pred(pred(pred(pred(n8)))))
    | ~ spl122_122
    | ~ spl122_125
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_143
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_456
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2722,f1104]) ).

fof(f2722,plain,
    ( sK4 = pred(pred(pred(pred(pred(pred(n9))))))
    | ~ spl122_122
    | ~ spl122_125
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_456
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2721,f1068]) ).

fof(f2721,plain,
    ( sK4 = pred(pred(pred(pred(pred(pred(pred(n10)))))))
    | ~ spl122_122
    | ~ spl122_125
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_136
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_456
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2720,f1076]) ).

fof(f2720,plain,
    ( sK4 = pred(pred(pred(pred(pred(pred(pred(pred(n11))))))))
    | ~ spl122_122
    | ~ spl122_125
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_456
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2719,f1120]) ).

fof(f2719,plain,
    ( sK4 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))
    | ~ spl122_122
    | ~ spl122_125
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_150
    | ~ spl122_456
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2718,f1056]) ).

fof(f2718,plain,
    ( sK4 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))
    | ~ spl122_122
    | ~ spl122_125
    | ~ spl122_133
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_150
    | ~ spl122_456
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2717,f1084]) ).

fof(f2717,plain,
    ( sK4 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))
    | ~ spl122_122
    | ~ spl122_125
    | ~ spl122_133
    | ~ spl122_141
    | ~ spl122_150
    | ~ spl122_456
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2716,f1020]) ).

fof(f2716,plain,
    ( sK4 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15))))))))))))
    | ~ spl122_125
    | ~ spl122_133
    | ~ spl122_141
    | ~ spl122_150
    | ~ spl122_456
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2715,f1132]) ).

fof(f2715,plain,
    ( sK4 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n0)))))))))))))
    | ~ spl122_125
    | ~ spl122_133
    | ~ spl122_141
    | ~ spl122_456
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2714,f1032]) ).

fof(f2714,plain,
    ( sK4 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n1))))))))))))))
    | ~ spl122_133
    | ~ spl122_141
    | ~ spl122_456
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2713,f1096]) ).

fof(f2713,plain,
    ( sK4 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n2)))))))))))))))
    | ~ spl122_133
    | ~ spl122_456
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2709,f1064]) ).

fof(f2709,plain,
    ( sK4 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n3))))))))))))))))
    | ~ spl122_456
    | ~ spl122_533 ),
    inference(backward_demodulation,[],[f2353,f2661]) ).

fof(f2353,plain,
    ( sK4 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK84))))))))))))))))
    | ~ spl122_456 ),
    inference(avatar_component_clause,[],[f2352]) ).

fof(f2253,plain,
    ( sK91 = sum(pred(sK76),sum(succ(sK19),sum(pred(sK35),succ(sK4))))
    | ~ spl122_431 ),
    inference(avatar_component_clause,[],[f2252]) ).

fof(f2417,plain,
    ( sK104 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK91))))))))))))))))
    | ~ spl122_472 ),
    inference(avatar_component_clause,[],[f2416]) ).

fof(f2957,plain,
    ( spl122_574
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_479
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(avatar_split_clause,[],[f2937,f2843,f2839,f2835,f2660,f2444,f2352,f2252,f2023,f1323,f1175,f1139,f1135,f1131,f1127,f1123,f1119,f1115,f1111,f1107,f1103,f1099,f1095,f1091,f1087,f1083,f1079,f1075,f1071,f1067,f1063,f1059,f1055,f1051,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f2955]) ).

fof(f2444,plain,
    ( spl122_479
  <=> sK56 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK91)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_479])]) ).

fof(f2937,plain,
    ( n6 = sK56
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_479
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2936,f1136]) ).

fof(f2936,plain,
    ( succ(n5) = sK56
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_479
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2935,f1092]) ).

fof(f2935,plain,
    ( succ(succ(n4)) = sK56
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_479
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2934,f1052]) ).

fof(f2934,plain,
    ( succ(succ(succ(n3))) = sK56
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_479
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2933,f1036]) ).

fof(f2933,plain,
    ( succ(succ(succ(succ(n2)))) = sK56
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_152
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_479
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2932,f1140]) ).

fof(f2932,plain,
    ( succ(succ(succ(succ(succ(n1))))) = sK56
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_139
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_479
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2931,f1088]) ).

fof(f2931,plain,
    ( succ(succ(succ(succ(succ(succ(n0)))))) = sK56
    | ~ spl122_121
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_479
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2930,f1016]) ).

fof(f2930,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n15))))))) = sK56
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_135
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_479
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2929,f1072]) ).

fof(f2929,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(n14)))))))) = sK56
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_479
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2928,f1116]) ).

fof(f2928,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n13))))))))) = sK56
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_479
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2927,f1044]) ).

fof(f2927,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n12)))))))))) = sK56
    | ~ spl122_122
    | ~ spl122_123
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_479
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2926,f1024]) ).

fof(f2926,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n11))))))))))) = sK56
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_145
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_479
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2925,f1112]) ).

fof(f2925,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n10)))))))))))) = sK56
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_127
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_479
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2924,f1040]) ).

fof(f2924,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n9))))))))))))) = sK56
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_479
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2923,f1124]) ).

fof(f2923,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n8)))))))))))))) = sK56
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_479
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2922,f1060]) ).

fof(f2922,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n7))))))))))))))) = sK56
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_479
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(forward_demodulation,[],[f2916,f1128]) ).

fof(f2916,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6)))))))))))))))) = sK56
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_479
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(backward_demodulation,[],[f2445,f2915]) ).

fof(f2445,plain,
    ( sK56 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK91))))))))))))))))
    | ~ spl122_479 ),
    inference(avatar_component_clause,[],[f2444]) ).

fof(f2921,plain,
    ( spl122_573
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_161
    | ~ spl122_198
    | ~ spl122_373
    | ~ spl122_431
    | ~ spl122_456
    | ~ spl122_533
    | ~ spl122_566
    | ~ spl122_567
    | ~ spl122_568 ),
    inference(avatar_split_clause,[],[f2915,f2843,f2839,f2835,f2660,f2352,f2252,f2023,f1323,f1175,f1131,f1123,f1119,f1107,f1103,f1099,f1095,f1083,f1079,f1075,f1067,f1063,f1055,f1051,f1047,f1031,f1027,f1019,f2919]) ).

fof(f2906,plain,
    ( spl122_572
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_417
    | ~ spl122_450
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(avatar_split_clause,[],[f2860,f2746,f2660,f2328,f2196,f1803,f1627,f1211,f1127,f1123,f1099,f1079,f1063,f1051,f2904]) ).

fof(f2196,plain,
    ( spl122_417
  <=> sum(sum(pred(sK13),succ(sK91)),sum(pred(sK91),succ(sK13))) = sK71 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_417])]) ).

fof(f2860,plain,
    ( sum(sum(n5,succ(sK91)),sum(pred(sK91),n7)) = sK71
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_417
    | ~ spl122_450
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2859,f1100]) ).

fof(f2859,plain,
    ( sum(sum(pred(n6),succ(sK91)),sum(pred(sK91),n7)) = sK71
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_417
    | ~ spl122_450
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2854,f1128]) ).

fof(f2854,plain,
    ( sum(sum(pred(n6),succ(sK91)),sum(pred(sK91),succ(n6))) = sK71
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_148
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_417
    | ~ spl122_450
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(backward_demodulation,[],[f2197,f2851]) ).

fof(f2197,plain,
    ( sum(sum(pred(sK13),succ(sK91)),sum(pred(sK91),succ(sK13))) = sK71
    | ~ spl122_417 ),
    inference(avatar_component_clause,[],[f2196]) ).

fof(f2902,plain,
    ( spl122_571
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_477
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(avatar_split_clause,[],[f2892,f2746,f2660,f2436,f2328,f1803,f1627,f1211,f1139,f1135,f1127,f1123,f1115,f1111,f1091,f1087,f1079,f1071,f1063,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f2900]) ).

fof(f2436,plain,
    ( spl122_477
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13)))))))))))))))) = sK24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_477])]) ).

fof(f2892,plain,
    ( n6 = sK24
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_477
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2891,f1136]) ).

fof(f2891,plain,
    ( succ(n5) = sK24
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_152
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_477
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2890,f1092]) ).

fof(f2890,plain,
    ( succ(succ(n4)) = sK24
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_152
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_477
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2889,f1052]) ).

fof(f2889,plain,
    ( succ(succ(succ(n3))) = sK24
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_152
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_477
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2888,f1036]) ).

fof(f2888,plain,
    ( succ(succ(succ(succ(n2)))) = sK24
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_152
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_477
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2887,f1140]) ).

fof(f2887,plain,
    ( succ(succ(succ(succ(succ(n1))))) = sK24
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_139
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_477
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2886,f1088]) ).

fof(f2886,plain,
    ( succ(succ(succ(succ(succ(succ(n0)))))) = sK24
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_477
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2885,f1016]) ).

fof(f2885,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n15))))))) = sK24
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_135
    | ~ spl122_137
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_477
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2884,f1072]) ).

fof(f2884,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(n14)))))))) = sK24
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_477
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2883,f1116]) ).

fof(f2883,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n13))))))))) = sK24
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_477
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2882,f1044]) ).

fof(f2882,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n12)))))))))) = sK24
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_477
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2881,f1024]) ).

fof(f2881,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n11))))))))))) = sK24
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_477
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2880,f1112]) ).

fof(f2880,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n10)))))))))))) = sK24
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_477
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2879,f1040]) ).

fof(f2879,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n9))))))))))))) = sK24
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_477
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2878,f1124]) ).

fof(f2878,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n8)))))))))))))) = sK24
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_477
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2877,f1060]) ).

fof(f2877,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n7))))))))))))))) = sK24
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_477
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2852,f1128]) ).

fof(f2852,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6)))))))))))))))) = sK24
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_148
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_477
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(backward_demodulation,[],[f2437,f2851]) ).

fof(f2437,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13)))))))))))))))) = sK24
    | ~ spl122_477 ),
    inference(avatar_component_clause,[],[f2436]) ).

fof(f2897,plain,
    ( spl122_570
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_130
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_148
    | ~ spl122_150
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_467
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(avatar_split_clause,[],[f2876,f2746,f2660,f2396,f2328,f1803,f1627,f1211,f1131,f1123,f1119,f1107,f1103,f1099,f1095,f1083,f1079,f1075,f1067,f1063,f1055,f1051,f1047,f1031,f1027,f1019,f2895]) ).

fof(f2895,plain,
    ( spl122_570
  <=> n6 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_570])]) ).

fof(f2858,plain,
    ( spl122_569
    | ~ spl122_130
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_148
    | ~ spl122_170
    | ~ spl122_274
    | ~ spl122_318
    | ~ spl122_450
    | ~ spl122_533
    | ~ spl122_549 ),
    inference(avatar_split_clause,[],[f2851,f2746,f2660,f2328,f1803,f1627,f1211,f1123,f1079,f1063,f1051,f2856]) ).

fof(f2856,plain,
    ( spl122_569
  <=> n6 = sK13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_569])]) ).

fof(f2845,plain,
    ( spl122_568
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_484
    | ~ spl122_549 ),
    inference(avatar_split_clause,[],[f2827,f2746,f2464,f1139,f1135,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f2843]) ).

fof(f2464,plain,
    ( spl122_484
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK114)))))))))))))))) = sK76 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_484])]) ).

fof(f2827,plain,
    ( n8 = sK76
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_484
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2826,f1060]) ).

fof(f2826,plain,
    ( succ(n7) = sK76
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_484
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2825,f1128]) ).

fof(f2825,plain,
    ( succ(succ(n6)) = sK76
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_484
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2824,f1136]) ).

fof(f2824,plain,
    ( succ(succ(succ(n5))) = sK76
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_152
    | ~ spl122_484
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2823,f1092]) ).

fof(f2823,plain,
    ( sK76 = succ(succ(succ(succ(n4))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_152
    | ~ spl122_484
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2822,f1052]) ).

fof(f2822,plain,
    ( succ(succ(succ(succ(succ(n3))))) = sK76
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_152
    | ~ spl122_484
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2821,f1036]) ).

fof(f2821,plain,
    ( sK76 = succ(succ(succ(succ(succ(succ(n2))))))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_152
    | ~ spl122_484
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2820,f1140]) ).

fof(f2820,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n1))))))) = sK76
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_484
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2819,f1088]) ).

fof(f2819,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(n0)))))))) = sK76
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_135
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_484
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2818,f1016]) ).

fof(f2818,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n15))))))))) = sK76
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_135
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_484
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2817,f1072]) ).

fof(f2817,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n14)))))))))) = sK76
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_484
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2816,f1116]) ).

fof(f2816,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n13))))))))))) = sK76
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_484
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2815,f1044]) ).

fof(f2815,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n12)))))))))))) = sK76
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_484
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2814,f1024]) ).

fof(f2814,plain,
    ( sK76 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n11)))))))))))))
    | ~ spl122_127
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_484
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2813,f1112]) ).

fof(f2813,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n10)))))))))))))) = sK76
    | ~ spl122_127
    | ~ spl122_148
    | ~ spl122_484
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2812,f1040]) ).

fof(f2812,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n9))))))))))))))) = sK76
    | ~ spl122_148
    | ~ spl122_484
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2795,f1124]) ).

fof(f2795,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n8)))))))))))))))) = sK76
    | ~ spl122_484
    | ~ spl122_549 ),
    inference(backward_demodulation,[],[f2465,f2747]) ).

fof(f2465,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK114)))))))))))))))) = sK76
    | ~ spl122_484 ),
    inference(avatar_component_clause,[],[f2464]) ).

fof(f2841,plain,
    ( spl122_567
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_529
    | ~ spl122_549 ),
    inference(avatar_split_clause,[],[f2811,f2746,f2644,f1131,f1119,f1107,f1103,f1099,f1095,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f2839]) ).

fof(f2644,plain,
    ( spl122_529
  <=> sK19 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK114)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_529])]) ).

fof(f2811,plain,
    ( n8 = sK19
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_529
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2810,f1104]) ).

fof(f2810,plain,
    ( pred(n9) = sK19
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_529
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2809,f1068]) ).

fof(f2809,plain,
    ( sK19 = pred(pred(n10))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_529
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2808,f1076]) ).

fof(f2808,plain,
    ( sK19 = pred(pred(pred(n11)))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_529
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2807,f1120]) ).

fof(f2807,plain,
    ( sK19 = pred(pred(pred(pred(n12))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_150
    | ~ spl122_529
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2806,f1056]) ).

fof(f2806,plain,
    ( sK19 = pred(pred(pred(pred(pred(n13)))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_150
    | ~ spl122_529
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2805,f1084]) ).

fof(f2805,plain,
    ( sK19 = pred(pred(pred(pred(pred(pred(n14))))))
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_150
    | ~ spl122_529
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2804,f1020]) ).

fof(f2804,plain,
    ( sK19 = pred(pred(pred(pred(pred(pred(pred(n15)))))))
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_150
    | ~ spl122_529
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2803,f1132]) ).

fof(f2803,plain,
    ( sK19 = pred(pred(pred(pred(pred(pred(pred(pred(n0))))))))
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_529
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2802,f1032]) ).

fof(f2802,plain,
    ( sK19 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n1)))))))))
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_529
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2801,f1096]) ).

fof(f2801,plain,
    ( sK19 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n2))))))))))
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_133
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_529
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2800,f1064]) ).

fof(f2800,plain,
    ( sK19 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n3)))))))))))
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_144
    | ~ spl122_529
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2799,f1108]) ).

fof(f2799,plain,
    ( sK19 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n4))))))))))))
    | ~ spl122_124
    | ~ spl122_129
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_529
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2798,f1028]) ).

fof(f2798,plain,
    ( sK19 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n5)))))))))))))
    | ~ spl122_129
    | ~ spl122_137
    | ~ spl122_142
    | ~ spl122_529
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2797,f1100]) ).

fof(f2797,plain,
    ( sK19 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n6))))))))))))))
    | ~ spl122_129
    | ~ spl122_137
    | ~ spl122_529
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2796,f1048]) ).

fof(f2796,plain,
    ( sK19 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n7)))))))))))))))
    | ~ spl122_137
    | ~ spl122_529
    | ~ spl122_549 ),
    inference(forward_demodulation,[],[f2794,f1080]) ).

fof(f2794,plain,
    ( sK19 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n8))))))))))))))))
    | ~ spl122_529
    | ~ spl122_549 ),
    inference(backward_demodulation,[],[f2645,f2747]) ).

fof(f2645,plain,
    ( sK19 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK114))))))))))))))))
    | ~ spl122_529 ),
    inference(avatar_component_clause,[],[f2644]) ).

fof(f2837,plain,
    ( spl122_566
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_457
    | ~ spl122_533 ),
    inference(avatar_split_clause,[],[f2744,f2660,f2356,f1139,f1135,f1127,f1123,f1115,f1111,f1091,f1087,f1071,f1059,f1051,f1043,f1039,f1035,f1023,f1015,f2835]) ).

fof(f2356,plain,
    ( spl122_457
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK84)))))))))))))))) = sK35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_457])]) ).

fof(f2744,plain,
    ( n3 = sK35
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_126
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_457
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2743,f1036]) ).

fof(f2743,plain,
    ( succ(n2) = sK35
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_152
    | ~ spl122_457
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2742,f1140]) ).

fof(f2742,plain,
    ( sK35 = succ(succ(n1))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_139
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_457
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2741,f1088]) ).

fof(f2741,plain,
    ( sK35 = succ(succ(succ(n0)))
    | ~ spl122_121
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_457
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2740,f1016]) ).

fof(f2740,plain,
    ( sK35 = succ(succ(succ(succ(n15))))
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_135
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_457
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2739,f1072]) ).

fof(f2739,plain,
    ( sK35 = succ(succ(succ(succ(succ(n14)))))
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_146
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_457
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2738,f1116]) ).

fof(f2738,plain,
    ( succ(succ(succ(succ(succ(succ(n13)))))) = sK35
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_128
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_457
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2737,f1044]) ).

fof(f2737,plain,
    ( succ(succ(succ(succ(succ(succ(succ(n12))))))) = sK35
    | ~ spl122_123
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_457
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2736,f1024]) ).

fof(f2736,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(n11)))))))) = sK35
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_140
    | ~ spl122_145
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_457
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2735,f1112]) ).

fof(f2735,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(n10))))))))) = sK35
    | ~ spl122_127
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_457
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2734,f1040]) ).

fof(f2734,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n9)))))))))) = sK35
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_140
    | ~ spl122_148
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_457
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2733,f1124]) ).

fof(f2733,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n8))))))))))) = sK35
    | ~ spl122_130
    | ~ spl122_132
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_457
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2732,f1060]) ).

fof(f2732,plain,
    ( sK35 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n7))))))))))))
    | ~ spl122_130
    | ~ spl122_140
    | ~ spl122_149
    | ~ spl122_151
    | ~ spl122_457
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2731,f1128]) ).

fof(f2731,plain,
    ( sK35 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n6)))))))))))))
    | ~ spl122_130
    | ~ spl122_140
    | ~ spl122_151
    | ~ spl122_457
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2730,f1136]) ).

fof(f2730,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n5)))))))))))))) = sK35
    | ~ spl122_130
    | ~ spl122_140
    | ~ spl122_457
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2729,f1092]) ).

fof(f2729,plain,
    ( sK35 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n4)))))))))))))))
    | ~ spl122_130
    | ~ spl122_457
    | ~ spl122_533 ),
    inference(forward_demodulation,[],[f2708,f1052]) ).

fof(f2708,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(n3)))))))))))))))) = sK35
    | ~ spl122_457
    | ~ spl122_533 ),
    inference(backward_demodulation,[],[f2357,f2661]) ).

fof(f2357,plain,
    ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK84)))))))))))))))) = sK35
    | ~ spl122_457 ),
    inference(avatar_component_clause,[],[f2356]) ).

fof(f2832,plain,
    ( spl122_565
    | ~ spl122_122
    | ~ spl122_124
    | ~ spl122_125
    | ~ spl122_129
    | ~ spl122_131
    | ~ spl122_133
    | ~ spl122_134
    | ~ spl122_136
    | ~ spl122_137
    | ~ spl122_138
    | ~ spl122_141
    | ~ spl122_142
    | ~ spl122_143
    | ~ spl122_144
    | ~ spl122_147
    | ~ spl122_150
    | ~ spl122_456
    | ~ spl122_533 ),
    inference(avatar_split_clause,[],[f2728,f2660,f2352,f1131,f1119,f1107,f1103,f1099,f1095,f1083,f1079,f1075,f1067,f1063,f1055,f1047,f1031,f1027,f1019,f2830]) ).

fof(f2830,plain,
    ( spl122_565
  <=> n3 = sK4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_565])]) ).

fof(f2793,plain,
    ( spl122_549
    | spl122_550
    | spl122_551
    | spl122_552
    | spl122_553
    | spl122_554
    | spl122_555
    | spl122_556
    | spl122_557
    | spl122_558
    | spl122_559
    | spl122_560
    | spl122_561
    | spl122_562
    | spl122_563
    | spl122_564 ),
    inference(avatar_split_clause,[],[f4,f2791,f2788,f2785,f2782,f2779,f2776,f2773,f2770,f2767,f2764,f2761,f2758,f2755,f2752,f2749,f2746]) ).

fof(f2749,plain,
    ( spl122_550
  <=> n4 = sK114 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_550])]) ).

fof(f2752,plain,
    ( spl122_551
  <=> n3 = sK114 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_551])]) ).

fof(f2755,plain,
    ( spl122_552
  <=> n12 = sK114 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_552])]) ).

fof(f2758,plain,
    ( spl122_553
  <=> n6 = sK114 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_553])]) ).

fof(f2761,plain,
    ( spl122_554
  <=> n9 = sK114 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_554])]) ).

fof(f2764,plain,
    ( spl122_555
  <=> n0 = sK114 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_555])]) ).

fof(f2767,plain,
    ( spl122_556
  <=> n1 = sK114 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_556])]) ).

fof(f2770,plain,
    ( spl122_557
  <=> n14 = sK114 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_557])]) ).

fof(f2773,plain,
    ( spl122_558
  <=> n5 = sK114 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_558])]) ).

fof(f2776,plain,
    ( spl122_559
  <=> n7 = sK114 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_559])]) ).

fof(f2779,plain,
    ( spl122_560
  <=> n2 = sK114 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_560])]) ).

fof(f2782,plain,
    ( spl122_561
  <=> n11 = sK114 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_561])]) ).

fof(f2785,plain,
    ( spl122_562
  <=> n10 = sK114 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_562])]) ).

fof(f2788,plain,
    ( spl122_563
  <=> n15 = sK114 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_563])]) ).

fof(f2791,plain,
    ( spl122_564
  <=> n13 = sK114 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_564])]) ).

fof(f4,plain,
    ( n13 = sK114
    | n15 = sK114
    | n10 = sK114
    | n11 = sK114
    | n2 = sK114
    | n7 = sK114
    | n5 = sK114
    | n14 = sK114
    | n1 = sK114
    | n0 = sK114
    | n9 = sK114
    | n6 = sK114
    | n12 = sK114
    | n3 = sK114
    | n4 = sK114
    | n8 = sK114 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,plain,
    ? [X107,X39,X37,X74,X30,X78,X81,X79,X56,X41,X84,X104,X98,X83,X82,X13,X2,X9,X88,X32,X108,X75,X25,X24,X119,X86,X105,X17,X38,X94,X45,X66,X0,X31,X20,X44,X103,X4,X115,X10,X85,X120,X36,X61,X43,X6,X70,X96,X62,X116,X28,X54,X113,X91,X93,X102,X99,X29,X47,X57,X90,X18,X72,X51,X58,X34,X64,X80,X35,X22,X60,X110,X48,X118,X68,X19,X33,X121,X67,X1,X55,X11,X42,X40,X7,X73,X114,X71,X16,X46,X89,X109,X117,X26,X69,X95,X53,X63,X106,X21,X112,X14,X97,X50,X5,X87,X59,X23,X8,X12,X15,X76,X77,X65,X49,X3,X27,X111,X52,X100,X101,X92] :
      ( succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X2)))))))))))))))) = X54
      & n4 != n10
      & succ(n1) = n2
      & n0 = sum(n12,n4)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X102)))))))))))))))) = X67
      & n4 = sum(n10,n10)
      & succ(n5) = n6
      & n9 = sum(n3,n6)
      & n1 = sum(n10,n7)
      & n2 != n6
      & n5 = sum(n12,n9)
      & sum(sum(pred(X17),succ(X98)),sum(pred(X98),succ(X17))) = X2
      & n0 != n13
      & n3 = sum(n8,n11)
      & n7 = sum(n5,n2)
      & n3 != n12
      & n0 != n10
      & sum(sum(pred(X31),succ(X63)),sum(pred(X63),succ(X31))) = X105
      & n12 = sum(n13,n15)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X107)))))))))))))))) = X23
      & n1 != n5
      & n8 != n13
      & n3 = sum(n11,n8)
      & n15 = pred(n0)
      & n2 != n10
      & n15 = sum(n6,n9)
      & n5 = sum(n10,n11)
      & n5 = sum(n0,n5)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X49)))))))))))))))) = X32
      & n0 != n6
      & sum(sum(pred(X49),succ(X7)),sum(pred(X7),succ(X49))) = X83
      & n5 = sum(n6,n15)
      & n11 = sum(n15,n12)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X13)))))))))))))))) = X75
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X51)))))))))))))))) = X64
      & n1 != n7
      & n1 = sum(n4,n13)
      & n6 = sum(n8,n14)
      & n8 = sum(n12,n12)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X110)))))))))))))))) = X55
      & n10 = sum(n1,n9)
      & n6 != n7
      & n10 = sum(n6,n4)
      & n6 = sum(n9,n13)
      & n1 = sum(n15,n2)
      & n0 != n12
      & n2 != n12
      & n13 = sum(n8,n5)
      & n0 = sum(n2,n14)
      & succ(n6) = n7
      & n9 != n11
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X13)))))))))))))))) = X118
      & n7 != n9
      & n10 = sum(n12,n14)
      & n5 = sum(n9,n12)
      & sum(pred(X119),sum(succ(X79),sum(pred(X99),succ(X5)))) = X59
      & n1 != n9
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X21)))))))))))))))) = X76
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X66)))))))))))))))) = X36
      & n3 != n10
      & sum(sum(pred(X2),succ(X12)),sum(pred(X12),succ(X2))) = X90
      & n2 = sum(n4,n14)
      & n6 = sum(n14,n8)
      & n13 = sum(n3,n10)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X114)))))))))))))))) = X101
      & sum(pred(X3),sum(succ(X65),sum(pred(X67),succ(X85)))) = X82
      & n5 != n12
      & n14 = sum(n12,n2)
      & n4 = sum(n3,n1)
      & n2 != n7
      & n13 = sum(n1,n12)
      & n6 != n14
      & n12 = sum(n12,n0)
      & n3 != n7
      & sum(pred(X54),sum(succ(X19),sum(pred(X77),succ(X10)))) = X102
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X107)))))))))))))))) = X0
      & n7 = sum(n0,n7)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X47)))))))))))))))) = X52
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X84)))))))))))))))) = X92
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X24)))))))))))))))) = X6
      & n8 = sum(n6,n2)
      & n6 = sum(n0,n6)
      & n5 != n14
      & n14 != n15
      & n15 = sum(n9,n6)
      & n13 = sum(n10,n3)
      & n4 != n9
      & n8 = sum(n14,n10)
      & n5 != n8
      & n0 != n3
      & n1 != n10
      & n12 = sum(n3,n9)
      & n15 = sum(n5,n10)
      & n5 = sum(n4,n1)
      & n10 = sum(n0,n10)
      & n3 = sum(n15,n4)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X63)))))))))))))))) = X48
      & n15 = sum(n15,n0)
      & n9 = sum(n6,n3)
      & succ(n8) = n9
      & n11 = sum(n6,n5)
      & n3 != n6
      & n7 = sum(n4,n3)
      & n14 = sum(n6,n8)
      & n15 = sum(n11,n4)
      & n11 != n14
      & n12 != n13
      & n7 != n13
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X56)))))))))))))))) = X69
      & n7 != n8
      & n11 = pred(n12)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X53)))))))))))))))) = X25
      & n5 = sum(n3,n2)
      & succ(n13) = n14
      & n14 = sum(n9,n5)
      & sum(sum(pred(X81),succ(X4)),sum(pred(X4),succ(X81))) = X9
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X63)))))))))))))))) = X43
      & n9 = sum(n15,n10)
      & sum(pred(X115),sum(succ(X103),sum(pred(X94),succ(X88)))) = X34
      & n5 != n6
      & n8 != n10
      & n2 = sum(n8,n10)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X58)))))))))))))))) = X74
      & n15 = sum(n13,n2)
      & n3 != n15
      & n7 = sum(n3,n4)
      & n3 = sum(n4,n15)
      & n15 = sum(n8,n7)
      & n14 = sum(n10,n4)
      & n5 = sum(n8,n13)
      & n0 = sum(n1,n15)
      & n13 = sum(n7,n6)
      & n4 = sum(n5,n15)
      & n13 = sum(n5,n8)
      & n13 = sum(n9,n4)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X98)))))))))))))))) = X86
      & n10 = sum(n9,n1)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X90)))))))))))))))) = X3
      & sum(pred(X57),sum(succ(X117),sum(pred(X18),succ(X25)))) = X63
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X17)))))))))))))))) = X93
      & n5 = sum(n2,n3)
      & ( n7 = X7
        | n5 = X7
        | n2 = X7
        | n10 = X7
        | n4 = X7
        | n8 = X7
        | n1 = X7
        | n3 = X7
        | n9 = X7
        | n0 = X7
        | n12 = X7
        | n13 = X7
        | n15 = X7
        | n11 = X7
        | n14 = X7
        | n6 = X7 )
      & n4 != n13
      & n15 = sum(n2,n13)
      & n8 = sum(n4,n4)
      & n13 = sum(n6,n7)
      & n2 = sum(n7,n11)
      & n3 = sum(n3,n0)
      & n3 = sum(n0,n3)
      & n14 = sum(n1,n13)
      & n15 = sum(n4,n11)
      & n13 != n15
      & n1 = sum(n5,n12)
      & n14 = sum(n13,n1)
      & n10 = sum(n14,n12)
      & n9 = sum(n10,n15)
      & n6 != n8
      & n1 != n13
      & n14 = sum(n3,n11)
      & n7 != n10
      & n12 = sum(n14,n14)
      & n3 = sum(n14,n5)
      & succ(n10) = n11
      & n3 != n4
      & n2 = sum(n2,n0)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X106)))))))))))))))) = X27
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X31)))))))))))))))) = X113
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X111)))))))))))))))) = X57
      & n13 = sum(n14,n15)
      & n9 != n12
      & n1 = sum(n8,n9)
      & n2 != n11
      & n0 = sum(n0,n0)
      & n12 = sum(n8,n4)
      & n3 = pred(n4)
      & n12 != n15
      & n12 = sum(n0,n12)
      & n7 = sum(n12,n11)
      & n4 != n12
      & n3 = sum(n13,n6)
      & n13 = sum(n15,n14)
      & n11 = sum(n2,n9)
      & n0 != n15
      & n11 = sum(n4,n7)
      & n2 = sum(n9,n9)
      & n7 = sum(n2,n5)
      & n7 = sum(n1,n6)
      & n11 = sum(n5,n6)
      & n14 = sum(n8,n6)
      & n6 = sum(n6,n0)
      & n2 = sum(n11,n7)
      & n9 != n14
      & n2 != n3
      & n15 = sum(n12,n3)
      & n2 != n15
      & n2 = sum(n15,n3)
      & n12 = sum(n11,n1)
      & n1 != n11
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X60)))))))))))))))) = X28
      & sum(sum(pred(X107),succ(X34)),sum(pred(X34),succ(X107))) = X47
      & n1 = sum(n2,n15)
      & n1 != n4
      & n8 = pred(n9)
      & sum(pred(X41),sum(succ(X22),sum(pred(X73),succ(X27)))) = X51
      & n14 = sum(n2,n12)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X1)))))))))))))))) = X26
      & n7 = sum(n8,n15)
      & n3 != n8
      & n15 = sum(n0,n15)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X120)))))))))))))))) = X88
      & n11 = sum(n8,n3)
      & n1 = sum(n6,n11)
      & n12 = sum(n15,n13)
      & n5 = pred(n6)
      & n0 != n2
      & n11 != n13
      & n15 = sum(n14,n1)
      & n8 = sum(n0,n8)
      & n4 = sum(n6,n14)
      & n9 != n15
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X102)))))))))))))))) = X85
      & n11 = sum(n1,n10)
      & n13 = sum(n0,n13)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X51)))))))))))))))) = X108
      & n1 = sum(n7,n10)
      & n14 = sum(n5,n9)
      & n6 = sum(n4,n2)
      & n5 != n15
      & n4 = sum(n11,n9)
      & n4 = sum(n9,n11)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X56)))))))))))))))) = X50
      & n7 = sum(n13,n10)
      & n1 = pred(n2)
      & n2 = sum(n6,n12)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X4)))))))))))))))) = X40
      & n0 = sum(n8,n8)
      & n1 = sum(n13,n4)
      & n15 = sum(n3,n12)
      & n6 = sum(n5,n1)
      & n7 != n11
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X106)))))))))))))))) = X73
      & n7 != n15
      & succ(n4) = n5
      & n0 != n1
      & n8 = sum(n5,n3)
      & n4 != n15
      & n1 != n15
      & n2 = sum(n0,n2)
      & n10 = sum(n11,n15)
      & sum(pred(X113),sum(succ(X100),sum(pred(X43),succ(X48)))) = X120
      & sum(pred(X37),sum(succ(X20),sum(pred(X40),succ(X112)))) = X121
      & n5 = sum(n1,n4)
      & n5 != n9
      & n9 = sum(n11,n14)
      & n13 = sum(n12,n1)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X53)))))))))))))))) = X18
      & n2 != n13
      & n13 != n14
      & n3 = sum(n2,n1)
      & n9 = sum(n8,n1)
      & n14 = sum(n15,n15)
      & sum(sum(pred(X47),succ(X68)),sum(pred(X68),succ(X47))) = X97
      & n6 = sum(n11,n11)
      & n0 = sum(n11,n5)
      & sum(sum(pred(X111),succ(X53)),sum(pred(X53),succ(X111))) = X31
      & n0 = sum(n5,n11)
      & n5 = sum(n7,n14)
      & n0 != n9
      & n10 = sum(n15,n11)
      & n2 = sum(n3,n15)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X82)))))))))))))))) = X72
      & n1 = sum(n3,n14)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X105)))))))))))))))) = X103
      & n2 != n14
      & n3 = sum(n6,n13)
      & n11 = sum(n10,n1)
      & succ(n0) = n1
      & n11 = sum(n0,n11)
      & n13 = pred(n14)
      & n7 = pred(n8)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X62)))))))))))))))) = X16
      & n8 != n12
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X90)))))))))))))))) = X65
      & n10 = pred(n11)
      & succ(n14) = n15
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X2)))))))))))))))) = X19
      & n1 != n8
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X12)))))))))))))))) = X77
      & n8 = sum(n9,n15)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X38)))))))))))))))) = X22
      & n4 = sum(n4,n0)
      & n10 != n12
      & n7 = sum(n6,n1)
      & n3 = sum(n10,n9)
      & n2 = sum(n12,n6)
      & n5 != n7
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X12)))))))))))))))) = X10
      & n5 = sum(n15,n6)
      & n6 != n9
      & n12 = sum(n5,n7)
      & n8 = sum(n13,n11)
      & n11 != n15
      & n14 = sum(n7,n7)
      & sum(sum(pred(X110),succ(X59)),sum(pred(X59),succ(X110))) = X24
      & n6 != n13
      & n10 = sum(n7,n3)
      & n3 = sum(n1,n2)
      & n8 = sum(n2,n6)
      & n4 != n8
      & n4 != n6
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X34)))))))))))))))) = X39
      & n13 = sum(n2,n11)
      & n15 = sum(n7,n8)
      & n4 = sum(n8,n12)
      & n3 = sum(n5,n14)
      & n4 = sum(n12,n8)
      & n6 = sum(n10,n12)
      & n3 != n14
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X66)))))))))))))))) = X89
      & sum(sum(pred(X62),succ(X66)),sum(pred(X66),succ(X62))) = X81
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X97)))))))))))))))) = X29
      & n5 != n13
      & n14 = sum(n11,n3)
      & n12 = sum(n1,n11)
      & n6 != n10
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X31)))))))))))))))) = X100
      & n10 = sum(n5,n5)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X1)))))))))))))))) = X96
      & n7 = sum(n9,n14)
      & n13 = sum(n13,n0)
      & n3 != n11
      & sum(sum(pred(X21),succ(X82)),sum(pred(X82),succ(X21))) = X62
      & n9 = pred(n10)
      & sum(sum(pred(X105),succ(X120)),sum(pred(X120),succ(X105))) = X107
      & n3 != n5
      & n5 = sum(n13,n8)
      & sum(pred(X95),sum(succ(X55),sum(pred(X35),succ(X116)))) = X56
      & n15 = sum(n1,n14)
      & n1 != n14
      & n13 = sum(n4,n9)
      & n14 = sum(n0,n14)
      & n5 != n11
      & sum(pred(X33),sum(succ(X32),sum(pred(X44),succ(X30)))) = X109
      & sum(sum(pred(X90),succ(X102)),sum(pred(X102),succ(X90))) = X21
      & n3 != n13
      & n3 = sum(n7,n12)
      & n8 != n9
      & n7 = sum(n7,n0)
      & n2 != n8
      & n12 = sum(n2,n10)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X49)))))))))))))))) = X33
      & n7 = sum(n14,n9)
      & sum(sum(pred(X13),succ(X114)),sum(pred(X114),succ(X13))) = X111
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X21)))))))))))))))) = X8
      & n8 != n11
      & n10 != n15
      & n12 = sum(n7,n5)
      & n2 = sum(n14,n4)
      & n4 = sum(n2,n2)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X84)))))))))))))))) = X70
      & n0 = sum(n6,n10)
      & n2 = pred(n3)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X47)))))))))))))))) = X11
      & n4 = sum(n15,n5)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X97)))))))))))))))) = X14
      & n5 = sum(n14,n7)
      & n2 = sum(n1,n1)
      & succ(n7) = n8
      & n2 = sum(n10,n8)
      & n12 = pred(n13)
      & succ(n3) = n4
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X109)))))))))))))))) = X99
      & n6 != n11
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X60)))))))))))))))) = X71
      & n3 = sum(n9,n10)
      & n10 = sum(n10,n0)
      & n1 = sum(n1,n0)
      & n9 = sum(n5,n4)
      & n1 = sum(n14,n3)
      & n8 = sum(n8,n0)
      & sum(pred(X14),sum(succ(X29),sum(pred(X71),succ(X28)))) = X84
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X83)))))))))))))))) = X119
      & n10 = sum(n3,n7)
      & n0 = sum(n14,n2)
      & n9 = sum(n2,n7)
      & n10 = sum(n13,n13)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X120)))))))))))))))) = X94
      & n8 = sum(n3,n5)
      & n11 = sum(n13,n14)
      & sum(sum(pred(X1),succ(X51)),sum(pred(X51),succ(X1))) = X13
      & n0 != n8
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X59)))))))))))))))) = X35
      & n9 = sum(n1,n8)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X59)))))))))))))))) = X116
      & n6 = pred(n7)
      & n8 = sum(n7,n1)
      & n9 = sum(n7,n2)
      & succ(n12) = n13
      & sum(pred(X96),sum(succ(X26),sum(pred(X108),succ(X64)))) = X114
      & n1 = sum(n12,n5)
      & n0 != n4
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X34)))))))))))))))) = X80
      & n1 != n3
      & sum(pred(X87),sum(succ(X6),sum(pred(X50),succ(X69)))) = X106
      & n6 = sum(n3,n3)
      & n0 = sum(n9,n7)
      & n0 != n11
      & n2 != n9
      & n11 != n12
      & n2 = sum(n5,n13)
      & succ(n9) = n10
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X109)))))))))))))))) = X5
      & sum(pred(X15),sum(succ(X16),sum(pred(X89),succ(X36)))) = X4
      & n11 = sum(n3,n8)
      & ( n3 = X49
        | n4 = X49
        | n1 = X49
        | n9 = X49
        | n13 = X49
        | n12 = X49
        | n2 = X49
        | n0 = X49
        | n5 = X49
        | n8 = X49
        | n11 = X49
        | n7 = X49
        | n14 = X49
        | n15 = X49
        | n6 = X49
        | n10 = X49 )
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X4)))))))))))))))) = X112
      & n0 != n14
      & n0 = sum(n4,n12)
      & sum(pred(X118),sum(succ(X75),sum(pred(X101),succ(X46)))) = X53
      & n9 = sum(n4,n5)
      & n10 = sum(n8,n2)
      & sum(sum(pred(X97),succ(X60)),sum(pred(X60),succ(X97))) = X58
      & n12 = sum(n10,n2)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X98)))))))))))))))) = X78
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X82)))))))))))))))) = X61
      & sum(pred(X52),sum(succ(X11),sum(pred(X104),succ(X42)))) = X60
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X68)))))))))))))))) = X42
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X83)))))))))))))))) = X79
      & n9 != n13
      & n14 = sum(n4,n10)
      & n8 = sum(n1,n7)
      & n0 = sum(n3,n13)
      & sum(pred(X8),sum(succ(X76),sum(pred(X61),succ(X72)))) = X66
      & n6 = sum(n2,n4)
      & n6 != n12
      & n0 = sum(n13,n3)
      & n7 = sum(n10,n13)
      & n9 = sum(n12,n13)
      & succ(n2) = n3
      & n0 = sum(n10,n6)
      & n7 = sum(n11,n12)
      & n12 != n14
      & n0 != n5
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X81)))))))))))))))) = X20
      & n8 = sum(n10,n14)
      & sum(sum(pred(X58),succ(X84)),sum(pred(X84),succ(X58))) = X17
      & n2 != n5
      & n10 = sum(n4,n6)
      & n12 = sum(n6,n6)
      & n13 = sum(n11,n2)
      & n4 = sum(n0,n4)
      & ( X21 != X82
        | X9 != X121
        | X4 != X81
        | X62 != X66 )
      & n9 = sum(n14,n11)
      & n9 = sum(n13,n12)
      & n1 != n2
      & n14 = sum(n14,n0)
      & n6 = sum(n15,n7)
      & n0 = sum(n15,n1)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X114)))))))))))))))) = X46
      & n11 = sum(n14,n13)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X111)))))))))))))))) = X117
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X38)))))))))))))))) = X41
      & n0 = pred(n1)
      & n4 = pred(n5)
      & n4 = sum(n1,n3)
      & n9 = sum(n9,n0)
      & succ(n11) = n12
      & n7 != n14
      & n3 = sum(n12,n7)
      & n1 != n6
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X17)))))))))))))))) = X45
      & n5 = sum(n11,n10)
      & n11 = sum(n9,n2)
      & n4 = sum(n7,n13)
      & n8 = sum(n11,n13)
      & n6 != n15
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X62)))))))))))))))) = X15
      & n2 != n4
      & sum(sum(pred(X24),succ(X56)),sum(pred(X56),succ(X24))) = X38
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X105)))))))))))))))) = X115
      & n10 = sum(n2,n8)
      & n0 = sum(n7,n9)
      & n4 = sum(n13,n7)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X58)))))))))))))))) = X91
      & n4 != n7
      & n2 = sum(n13,n5)
      & n11 = sum(n7,n4)
      & n1 != n12
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X68)))))))))))))))) = X104
      & n8 != n15
      & n7 = sum(n15,n8)
      & n9 != n10
      & n11 = sum(n11,n0)
      & n6 = sum(n13,n9)
      & n4 != n5
      & n5 != n10
      & n11 = sum(n12,n15)
      & n12 = sum(n9,n3)
      & sum(sum(pred(X83),succ(X109)),sum(pred(X109),succ(X83))) = X110
      & n9 = sum(n0,n9)
      & n3 != n9
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X7)))))))))))))))) = X44
      & n1 = sum(n0,n1)
      & n12 = sum(n4,n8)
      & n7 != n12
      & n6 = sum(n7,n15)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X7)))))))))))))))) = X30
      & n15 = sum(n10,n5)
      & n4 != n11
      & n14 = pred(n15)
      & n0 = succ(n15)
      & sum(pred(X23),sum(succ(X0),sum(pred(X80),succ(X39)))) = X68
      & n8 != n14
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X81)))))))))))))))) = X37
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X24)))))))))))))))) = X87
      & n0 != n7
      & n10 != n13
      & n4 != n14
      & sum(pred(X91),sum(succ(X74),sum(pred(X92),succ(X70)))) = X98
      & n4 = sum(n14,n6)
      & n1 = sum(n9,n8)
      & n5 = sum(n5,n0)
      & n6 = sum(n12,n10)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X110)))))))))))))))) = X95
      & n6 = sum(n1,n5)
      & n10 != n14
      & sum(pred(X45),sum(succ(X93),sum(pred(X78),succ(X86)))) = X12
      & n1 = sum(n11,n6)
      & n10 != n11
      & n8 = sum(n15,n9)
      & sum(sum(pred(X38),succ(X106)),sum(pred(X106),succ(X38))) = X1 ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ? [X82,X10,X30,X108,X39,X47,X54,X1,X112,X40,X103,X86,X31,X12,X92,X116,X114,X28,X73,X102,X118,X34,X58,X84,X6,X71,X62,X59,X91,X90,X43,X16,X42,X44,X21,X53,X115,X120,X8,X83,X121,X60,X87,X77,X45,X100,X67,X22,X75,X0,X57,X11,X88,X15,X104,X50,X7,X72,X26,X5,X25,X113,X36,X17,X63,X106,X37,X109,X23,X55,X95,X93,X111,X61,X94,X66,X110,X105,X101,X46,X85,X38,X35,X2,X27,X107,X99,X56,X79,X117,X32,X96,X97,X98,X81,X52,X64,X24,X29,X49,X74,X69,X33,X78,X89,X18,X9,X20,X65,X3,X4,X14,X119,X76,X13,X80,X51,X70,X68,X48,X19,X41] :
      ( n2 != n7
      & n5 = sum(n1,n4)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X22)))))))))))))))) = X86
      & n15 = sum(n8,n7)
      & n4 = sum(n14,n6)
      & succ(n12) = n13
      & n13 = sum(n10,n3)
      & n5 = sum(n12,n9)
      & n11 = sum(n10,n1)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X25)))))))))))))))) = X93
      & n13 = sum(n2,n11)
      & n8 = sum(n10,n14)
      & sum(sum(pred(X28),succ(X29)),sum(pred(X29),succ(X28))) = X30
      & n10 = sum(n7,n3)
      & n4 = pred(n5)
      & n11 = sum(n4,n7)
      & n4 != n13
      & n12 = sum(n6,n6)
      & n9 = sum(n8,n1)
      & ( X36 != X37
        | X40 != X41
        | X38 != X39
        | X34 != X35 )
      & n8 != n9
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X6)))))))))))))))) = X56
      & n0 != n14
      & n0 != n13
      & n7 = sum(n6,n1)
      & n3 = sum(n5,n14)
      & n13 = sum(n15,n14)
      & n9 = sum(n3,n6)
      & n6 != n10
      & sum(pred(X52),sum(succ(X50),sum(pred(X53),succ(X51)))) = X7
      & n13 = sum(n7,n6)
      & n5 = sum(n3,n2)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X15)))))))))))))))) = X71
      & n6 = sum(n15,n7)
      & n4 != n6
      & n15 = sum(n0,n15)
      & n5 = sum(n8,n13)
      & sum(sum(pred(X12),succ(X13)),sum(pred(X13),succ(X12))) = X14
      & sum(sum(pred(X16),succ(X17)),sum(pred(X17),succ(X16))) = X18
      & n7 != n14
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X14)))))))))))))))) = X70
      & n10 = pred(n11)
      & n9 = sum(n2,n7)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X5)))))))))))))))) = X53
      & succ(n5) = n6
      & n6 != n9
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X8)))))))))))))))) = X58
      & n1 = sum(n2,n15)
      & n0 != n6
      & sum(pred(X108),sum(succ(X106),sum(pred(X109),succ(X107)))) = X35
      & succ(n3) = n4
      & n7 = sum(n9,n14)
      & n3 != n8
      & n1 != n15
      & n10 != n11
      & n14 = sum(n0,n14)
      & n5 = sum(n14,n7)
      & n6 = sum(n1,n5)
      & n8 != n12
      & n3 != n7
      & n10 = sum(n0,n10)
      & n7 = sum(n3,n4)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X1)))))))))))))))) = X45
      & n11 = sum(n6,n5)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X28)))))))))))))))) = X98
      & n9 = sum(n0,n9)
      & sum(pred(X60),sum(succ(X58),sum(pred(X61),succ(X59)))) = X11
      & n14 = sum(n4,n10)
      & n9 = sum(n15,n10)
      & n14 = sum(n3,n11)
      & n4 = sum(n0,n4)
      & n8 = sum(n4,n4)
      & n4 = sum(n6,n14)
      & n11 = pred(n12)
      & n9 != n10
      & n2 != n4
      & n3 = sum(n15,n4)
      & ( n13 = X0
        | n12 = X0
        | n8 = X0
        | n15 = X0
        | n0 = X0
        | n4 = X0
        | n5 = X0
        | n7 = X0
        | n1 = X0
        | n10 = X0
        | n9 = X0
        | n6 = X0
        | n11 = X0
        | n2 = X0
        | n3 = X0
        | n14 = X0 )
      & n13 = sum(n11,n2)
      & n0 = sum(n4,n12)
      & n10 = sum(n2,n8)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X18)))))))))))))))) = X78
      & n15 = sum(n7,n8)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X3)))))))))))))))) = X49
      & n0 != n15
      & n6 = sum(n6,n0)
      & n5 = sum(n15,n6)
      & n1 != n9
      & n9 = sum(n7,n2)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X34)))))))))))))))) = X112
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X8)))))))))))))))) = X60
      & n4 != n12
      & n3 != n12
      & n12 = sum(n12,n0)
      & n0 = sum(n7,n9)
      & n2 = sum(n10,n8)
      & succ(n11) = n12
      & sum(sum(pred(X14),succ(X15)),sum(pred(X15),succ(X14))) = X16
      & n8 != n15
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X31)))))))))))))))) = X105
      & n1 != n3
      & n2 != n12
      & n4 = sum(n3,n1)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X23)))))))))))))))) = X87
      & n7 != n9
      & n11 = sum(n2,n9)
      & n8 != n13
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X20)))))))))))))))) = X84
      & n4 != n5
      & n12 = sum(n3,n9)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X33)))))))))))))))) = X107
      & sum(pred(X100),sum(succ(X98),sum(pred(X101),succ(X99)))) = X31
      & n11 = sum(n5,n6)
      & n5 = sum(n6,n15)
      & n1 != n12
      & n4 = sum(n7,n13)
      & n2 = sum(n1,n1)
      & sum(pred(X76),sum(succ(X74),sum(pred(X77),succ(X75)))) = X19
      & n0 = sum(n6,n10)
      & n4 = sum(n12,n8)
      & n3 = sum(n0,n3)
      & n15 = sum(n6,n9)
      & n1 = sum(n0,n1)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X4)))))))))))))))) = X52
      & n13 = sum(n0,n13)
      & n15 = sum(n4,n11)
      & n4 = sum(n13,n7)
      & n9 != n13
      & n1 != n8
      & n1 != n7
      & n11 = sum(n3,n8)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X38)))))))))))))))) = X118
      & n15 = sum(n3,n12)
      & n3 != n14
      & n7 != n12
      & n1 != n2
      & sum(sum(pred(X10),succ(X11)),sum(pred(X11),succ(X10))) = X12
      & n7 = sum(n12,n11)
      & n0 = sum(n0,n0)
      & n0 != n4
      & n14 = sum(n6,n8)
      & n0 != n7
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X22)))))))))))))))) = X88
      & n2 != n9
      & n10 = sum(n3,n7)
      & n1 != n6
      & n10 = sum(n6,n4)
      & n15 = sum(n15,n0)
      & n2 != n8
      & n9 != n15
      & n12 = sum(n1,n11)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X26)))))))))))))))) = X96
      & n14 = sum(n7,n7)
      & n3 = sum(n10,n9)
      & n2 = sum(n8,n10)
      & n8 = sum(n13,n11)
      & n10 = sum(n11,n15)
      & n6 = sum(n2,n4)
      & n8 != n11
      & n8 = sum(n6,n2)
      & n2 != n13
      & n0 != n1
      & n0 = sum(n15,n1)
      & n2 != n11
      & n15 = sum(n10,n5)
      & n11 = sum(n14,n13)
      & sum(sum(pred(X26),succ(X27)),sum(pred(X27),succ(X26))) = X28
      & n8 = sum(n8,n0)
      & n13 = sum(n12,n1)
      & n5 != n14
      & n7 != n11
      & sum(sum(pred(X30),succ(X31)),sum(pred(X31),succ(X30))) = X32
      & n1 != n5
      & n8 = sum(n5,n3)
      & n1 = sum(n3,n14)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X19)))))))))))))))) = X81
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X21)))))))))))))))) = X85
      & n6 = sum(n9,n13)
      & n11 = sum(n13,n14)
      & n7 = sum(n4,n3)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X29)))))))))))))))) = X101
      & n6 != n11
      & n10 = sum(n14,n12)
      & succ(n13) = n14
      & n11 = sum(n12,n15)
      & n3 = sum(n2,n1)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X6)))))))))))))))) = X54
      & n8 = pred(n9)
      & n2 = sum(n2,n0)
      & n9 = sum(n9,n0)
      & n3 != n5
      & n11 = sum(n11,n0)
      & n9 = sum(n1,n8)
      & n5 != n8
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X13)))))))))))))))) = X67
      & n4 != n14
      & n0 = sum(n12,n4)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X35)))))))))))))))) = X113
      & n10 = sum(n8,n2)
      & n11 = sum(n7,n4)
      & n10 = sum(n10,n0)
      & n13 = sum(n3,n10)
      & sum(pred(X92),sum(succ(X90),sum(pred(X93),succ(X91)))) = X27
      & n7 = sum(n0,n7)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X5)))))))))))))))) = X51
      & n12 != n14
      & n1 != n4
      & n12 = sum(n13,n15)
      & sum(pred(X48),sum(succ(X46),sum(pred(X49),succ(X47)))) = X5
      & n10 = sum(n15,n11)
      & n0 = succ(n15)
      & n13 = sum(n1,n12)
      & n5 != n15
      & n8 != n14
      & n13 = sum(n8,n5)
      & n0 != n11
      & n11 = sum(n0,n11)
      & n10 = sum(n1,n9)
      & n10 != n14
      & n2 = sum(n14,n4)
      & n2 != n10
      & n13 = sum(n4,n9)
      & n3 = sum(n14,n5)
      & n14 = sum(n14,n0)
      & n8 = sum(n11,n13)
      & n3 = sum(n9,n10)
      & n7 != n8
      & n15 = sum(n11,n4)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X0)))))))))))))))) = X44
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X38)))))))))))))))) = X120
      & n15 = sum(n9,n6)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X27)))))))))))))))) = X95
      & n6 = sum(n11,n11)
      & n7 = sum(n8,n15)
      & n1 = sum(n11,n6)
      & sum(pred(X84),sum(succ(X82),sum(pred(X85),succ(X83)))) = X23
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X12)))))))))))))))) = X68
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X20)))))))))))))))) = X82
      & n1 = sum(n4,n13)
      & n0 != n2
      & n12 = sum(n0,n12)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X24)))))))))))))))) = X92
      & n8 = sum(n2,n6)
      & n13 = pred(n14)
      & n3 = sum(n3,n0)
      & n14 = sum(n13,n1)
      & n13 = sum(n6,n7)
      & n8 = sum(n7,n1)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X3)))))))))))))))) = X47
      & succ(n0) = n1
      & n7 = sum(n2,n5)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X29)))))))))))))))) = X99
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X30)))))))))))))))) = X102
      & n4 != n9
      & n13 = sum(n13,n0)
      & n0 = sum(n1,n15)
      & n6 = sum(n5,n1)
      & n10 != n12
      & n1 = sum(n10,n7)
      & n5 != n7
      & n5 = sum(n9,n12)
      & n2 = sum(n15,n3)
      & n12 = sum(n14,n14)
      & n9 = sum(n13,n12)
      & n3 != n10
      & n14 = sum(n5,n9)
      & ( n6 = X1
        | n9 = X1
        | n14 = X1
        | n7 = X1
        | n10 = X1
        | n0 = X1
        | n2 = X1
        | n3 = X1
        | n13 = X1
        | n5 = X1
        | n1 = X1
        | n4 = X1
        | n8 = X1
        | n15 = X1
        | n11 = X1
        | n12 = X1 )
      & n10 != n15
      & n8 = sum(n14,n10)
      & n3 = sum(n4,n15)
      & n9 = sum(n11,n14)
      & sum(sum(pred(X32),succ(X33)),sum(pred(X33),succ(X32))) = X34
      & sum(pred(X116),sum(succ(X114),sum(pred(X117),succ(X115)))) = X39
      & sum(sum(pred(X18),succ(X19)),sum(pred(X19),succ(X18))) = X20
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X34)))))))))))))))) = X110
      & n6 = sum(n7,n15)
      & n4 != n15
      & n5 != n6
      & n10 = sum(n5,n5)
      & n4 = sum(n1,n3)
      & n7 = pred(n8)
      & n2 != n6
      & n0 != n3
      & n6 != n7
      & n1 = sum(n1,n0)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X9)))))))))))))))) = X61
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X10)))))))))))))))) = X62
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X32)))))))))))))))) = X108
      & sum(pred(X68),sum(succ(X66),sum(pred(X69),succ(X67)))) = X15
      & n3 = sum(n8,n11)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X36)))))))))))))))) = X116
      & n1 != n10
      & n15 = sum(n2,n13)
      & n1 = sum(n5,n12)
      & succ(n2) = n3
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X12)))))))))))))))) = X66
      & n4 != n10
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X1)))))))))))))))) = X43
      & n1 = sum(n12,n5)
      & n7 = sum(n5,n2)
      & n11 = sum(n1,n10)
      & n5 = sum(n10,n11)
      & n0 = sum(n2,n14)
      & n0 = pred(n1)
      & n10 = sum(n9,n1)
      & n1 = sum(n13,n4)
      & n6 != n8
      & succ(n7) = n8
      & n2 = pred(n3)
      & n2 != n14
      & n5 != n13
      & n3 != n11
      & n0 = sum(n8,n8)
      & n9 = sum(n6,n3)
      & n15 = sum(n1,n14)
      & n2 != n3
      & n4 = sum(n9,n11)
      & n4 != n11
      & sum(pred(X120),sum(succ(X118),sum(pred(X121),succ(X119)))) = X41
      & n3 != n4
      & n6 = sum(n8,n14)
      & n5 = sum(n7,n14)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X37)))))))))))))))) = X115
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X16)))))))))))))))) = X76
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X17)))))))))))))))) = X77
      & n6 != n13
      & n10 = sum(n12,n14)
      & n0 = sum(n5,n11)
      & n6 = sum(n12,n10)
      & n12 = pred(n13)
      & n14 = sum(n12,n2)
      & sum(sum(pred(X22),succ(X23)),sum(pred(X23),succ(X22))) = X24
      & n3 = sum(n6,n13)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X16)))))))))))))))) = X74
      & n14 = sum(n2,n12)
      & n9 != n12
      & n6 = sum(n0,n6)
      & n5 != n12
      & sum(pred(X112),sum(succ(X110),sum(pred(X113),succ(X111)))) = X37
      & n0 = sum(n11,n5)
      & succ(n8) = n9
      & n2 != n5
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X11)))))))))))))))) = X65
      & n0 != n5
      & n0 = sum(n10,n6)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X18)))))))))))))))) = X80
      & n12 = sum(n8,n4)
      & n4 = sum(n15,n5)
      & n12 = sum(n2,n10)
      & n15 = sum(n5,n10)
      & n5 = sum(n5,n0)
      & n5 != n9
      & n6 != n14
      & n0 = sum(n14,n2)
      & n8 = sum(n15,n9)
      & n14 = sum(n8,n6)
      & sum(pred(X96),sum(succ(X94),sum(pred(X97),succ(X95)))) = X29
      & succ(n1) = n2
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X7)))))))))))))))) = X57
      & n9 = sum(n4,n5)
      & succ(n9) = n10
      & n1 != n11
      & n2 = sum(n4,n14)
      & sum(sum(pred(X2),succ(X3)),sum(pred(X3),succ(X2))) = X4
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X17)))))))))))))))) = X75
      & n11 = sum(n15,n12)
      & n4 = sum(n4,n0)
      & n7 = sum(n1,n6)
      & n7 != n15
      & n15 = pred(n0)
      & succ(n4) = n5
      & sum(pred(X80),sum(succ(X78),sum(pred(X81),succ(X79)))) = X21
      & sum(sum(pred(X8),succ(X9)),sum(pred(X9),succ(X8))) = X10
      & n2 = sum(n11,n7)
      & n3 = sum(n11,n8)
      & n3 != n15
      & n2 = sum(n0,n2)
      & n10 = sum(n13,n13)
      & sum(sum(pred(X24),succ(X25)),sum(pred(X25),succ(X24))) = X26
      & n6 = sum(n13,n9)
      & n12 != n15
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X15)))))))))))))))) = X73
      & n2 = sum(n6,n12)
      & n0 != n10
      & n4 = sum(n8,n12)
      & n3 != n13
      & n15 = sum(n13,n2)
      & n1 = sum(n15,n2)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X13)))))))))))))))) = X69
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X14)))))))))))))))) = X72
      & sum(pred(X56),sum(succ(X54),sum(pred(X57),succ(X55)))) = X9
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X26)))))))))))))))) = X94
      & n10 != n13
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X32)))))))))))))))) = X106
      & n5 = sum(n2,n3)
      & n7 != n10
      & n12 != n13
      & n0 = sum(n9,n7)
      & sum(sum(pred(X36),succ(X37)),sum(pred(X37),succ(X36))) = X38
      & n9 = sum(n5,n4)
      & n7 = sum(n13,n10)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X0)))))))))))))))) = X42
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X28)))))))))))))))) = X100
      & sum(sum(pred(X20),succ(X21)),sum(pred(X21),succ(X20))) = X22
      & n14 = sum(n15,n15)
      & n15 = sum(n14,n1)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X39)))))))))))))))) = X119
      & n8 = sum(n9,n15)
      & sum(pred(X104),sum(succ(X102),sum(pred(X105),succ(X103)))) = X33
      & n15 = sum(n12,n3)
      & sum(sum(pred(X4),succ(X5)),sum(pred(X5),succ(X4))) = X6
      & n12 = sum(n4,n8)
      & n0 = sum(n13,n3)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X2)))))))))))))))) = X46
      & n3 = sum(n1,n2)
      & sum(sum(pred(X38),succ(X39)),sum(pred(X39),succ(X38))) = X40
      & n6 = sum(n14,n8)
      & n8 = sum(n1,n7)
      & n13 = sum(n9,n4)
      & n2 = sum(n13,n5)
      & n2 = sum(n12,n6)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X36)))))))))))))))) = X114
      & n2 = sum(n7,n11)
      & n9 = sum(n10,n15)
      & n8 = sum(n3,n5)
      & n6 != n15
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X11)))))))))))))))) = X63
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X7)))))))))))))))) = X55
      & sum(pred(X44),sum(succ(X42),sum(pred(X45),succ(X43)))) = X3
      & sum(pred(X88),sum(succ(X86),sum(pred(X89),succ(X87)))) = X25
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X27)))))))))))))))) = X97
      & n7 = sum(n15,n8)
      & n3 = sum(n7,n12)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X24)))))))))))))))) = X90
      & n1 != n14
      & sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) = X2
      & n7 = sum(n7,n0)
      & n0 = sum(n3,n13)
      & n14 != n15
      & n11 != n14
      & n1 = sum(n9,n8)
      & n2 = sum(n3,n15)
      & n12 = sum(n11,n1)
      & n3 = sum(n12,n7)
      & n4 = sum(n10,n10)
      & sum(sum(pred(X6),succ(X7)),sum(pred(X7),succ(X6))) = X8
      & n7 = sum(n14,n9)
      & n4 = sum(n5,n15)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X4)))))))))))))))) = X50
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X19)))))))))))))))) = X79
      & n3 != n9
      & n1 = sum(n14,n3)
      & n7 = sum(n11,n12)
      & n7 = sum(n10,n13)
      & n3 != n6
      & n5 != n10
      & n12 = sum(n5,n7)
      & n6 = sum(n3,n3)
      & n11 = sum(n9,n2)
      & n5 != n11
      & n14 = sum(n10,n4)
      & n2 = sum(n5,n13)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X25)))))))))))))))) = X91
      & succ(n10) = n11
      & sum(sum(pred(X34),succ(X35)),sum(pred(X35),succ(X34))) = X36
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X30)))))))))))))))) = X104
      & n9 != n11
      & n5 = sum(n0,n5)
      & n13 = sum(n5,n8)
      & sum(pred(X64),sum(succ(X62),sum(pred(X65),succ(X63)))) = X13
      & n13 != n14
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X35)))))))))))))))) = X111
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X23)))))))))))))))) = X89
      & n0 != n12
      & succ(n6) = n7
      & n12 = sum(n15,n13)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X39)))))))))))))))) = X121
      & sum(pred(X72),sum(succ(X70),sum(pred(X73),succ(X71)))) = X17
      & n11 != n12
      & n2 = sum(n9,n9)
      & n3 = pred(n4)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X2)))))))))))))))) = X48
      & n4 = sum(n2,n2)
      & n14 = sum(n9,n5)
      & n6 = sum(n10,n12)
      & n0 != n9
      & n14 = pred(n15)
      & n4 = sum(n11,n9)
      & n8 = sum(n0,n8)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X37)))))))))))))))) = X117
      & n5 = sum(n4,n1)
      & n1 = sum(n7,n10)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X9)))))))))))))))) = X59
      & n12 = sum(n9,n3)
      & n4 != n8
      & n5 = pred(n6)
      & n14 = sum(n1,n13)
      & n13 = sum(n14,n15)
      & n5 = sum(n13,n8)
      & n8 != n10
      & n8 = sum(n12,n12)
      & n6 = sum(n4,n2)
      & n11 != n13
      & n9 = sum(n14,n11)
      & n10 = sum(n4,n6)
      & n1 != n13
      & n5 = sum(n11,n10)
      & n9 = pred(n10)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X10)))))))))))))))) = X64
      & n1 = sum(n6,n11)
      & n9 = sum(n12,n13)
      & n0 != n8
      & n9 != n14
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X21)))))))))))))))) = X83
      & n4 != n7
      & n6 = pred(n7)
      & n1 = sum(n8,n9)
      & n11 != n15
      & n6 != n12
      & n12 = sum(n7,n5)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X31)))))))))))))))) = X103
      & n14 = sum(n11,n3)
      & n2 != n15
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X33)))))))))))))))) = X109
      & n1 = pred(n2)
      & n12 = sum(n10,n2)
      & n3 = sum(n13,n6)
      & succ(n14) = n15
      & n13 != n15
      & n11 = sum(n8,n3)
      & n7 != n13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',try_satisfy_this) ).

fof(f2707,plain,
    ( spl122_533
    | spl122_534
    | spl122_535
    | spl122_536
    | spl122_537
    | spl122_538
    | spl122_539
    | spl122_540
    | spl122_541
    | spl122_542
    | spl122_543
    | spl122_544
    | spl122_545
    | spl122_546
    | spl122_547
    | spl122_548 ),
    inference(avatar_split_clause,[],[f3,f2705,f2702,f2699,f2696,f2693,f2690,f2687,f2684,f2681,f2678,f2675,f2672,f2669,f2666,f2663,f2660]) ).

fof(f2663,plain,
    ( spl122_534
  <=> n2 = sK84 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_534])]) ).

fof(f2666,plain,
    ( spl122_535
  <=> n6 = sK84 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_535])]) ).

fof(f2669,plain,
    ( spl122_536
  <=> n13 = sK84 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_536])]) ).

fof(f2672,plain,
    ( spl122_537
  <=> n8 = sK84 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_537])]) ).

fof(f2675,plain,
    ( spl122_538
  <=> n4 = sK84 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_538])]) ).

fof(f2678,plain,
    ( spl122_539
  <=> n11 = sK84 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_539])]) ).

fof(f2681,plain,
    ( spl122_540
  <=> n7 = sK84 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_540])]) ).

fof(f2684,plain,
    ( spl122_541
  <=> n0 = sK84 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_541])]) ).

fof(f2687,plain,
    ( spl122_542
  <=> n9 = sK84 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_542])]) ).

fof(f2690,plain,
    ( spl122_543
  <=> n12 = sK84 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_543])]) ).

fof(f2693,plain,
    ( spl122_544
  <=> n14 = sK84 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_544])]) ).

fof(f2696,plain,
    ( spl122_545
  <=> n1 = sK84 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_545])]) ).

fof(f2699,plain,
    ( spl122_546
  <=> n5 = sK84 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_546])]) ).

fof(f2702,plain,
    ( spl122_547
  <=> n10 = sK84 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_547])]) ).

fof(f2705,plain,
    ( spl122_548
  <=> n15 = sK84 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_548])]) ).

fof(f3,plain,
    ( n15 = sK84
    | n10 = sK84
    | n5 = sK84
    | n1 = sK84
    | n14 = sK84
    | n12 = sK84
    | n9 = sK84
    | n0 = sK84
    | n7 = sK84
    | n11 = sK84
    | n4 = sK84
    | n8 = sK84
    | n13 = sK84
    | n6 = sK84
    | n2 = sK84
    | n3 = sK84 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2658,plain,
    spl122_532,
    inference(avatar_split_clause,[],[f533,f2656]) ).

fof(f533,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16)))))))))))))))) = sK51,
    inference(cnf_transformation,[],[f2]) ).

fof(f2654,plain,
    spl122_531,
    inference(avatar_split_clause,[],[f529,f2652]) ).

fof(f529,plain,
    sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK55)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2650,plain,
    spl122_530,
    inference(avatar_split_clause,[],[f514,f2648]) ).

fof(f514,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0)))))))))))))))) = sK107,
    inference(cnf_transformation,[],[f2]) ).

fof(f2646,plain,
    spl122_529,
    inference(avatar_split_clause,[],[f505,f2644]) ).

fof(f505,plain,
    sK19 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK114)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2642,plain,
    spl122_528,
    inference(avatar_split_clause,[],[f500,f2640]) ).

fof(f500,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15)))))))))))))))) = sK21,
    inference(cnf_transformation,[],[f2]) ).

fof(f2638,plain,
    spl122_527,
    inference(avatar_split_clause,[],[f499,f2636]) ).

fof(f499,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK63)))))))))))))))) = sK66,
    inference(cnf_transformation,[],[f2]) ).

fof(f2634,plain,
    spl122_526,
    inference(avatar_split_clause,[],[f494,f2632]) ).

fof(f494,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK71)))))))))))))))) = sK80,
    inference(cnf_transformation,[],[f2]) ).

fof(f2630,plain,
    spl122_525,
    inference(avatar_split_clause,[],[f482,f2628]) ).

fof(f482,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15)))))))))))))))) = sK73,
    inference(cnf_transformation,[],[f2]) ).

fof(f2626,plain,
    spl122_524,
    inference(avatar_split_clause,[],[f476,f2624]) ).

fof(f476,plain,
    sK111 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK99)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2622,plain,
    spl122_523,
    inference(avatar_split_clause,[],[f475,f2620]) ).

fof(f475,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK31)))))))))))))))) = sK42,
    inference(cnf_transformation,[],[f2]) ).

fof(f2618,plain,
    spl122_522,
    inference(avatar_split_clause,[],[f469,f2616]) ).

fof(f469,plain,
    sK120 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK86)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2614,plain,
    spl122_521,
    inference(avatar_split_clause,[],[f458,f2612]) ).

fof(f458,plain,
    sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2610,plain,
    spl122_520,
    inference(avatar_split_clause,[],[f456,f2608]) ).

fof(f456,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK58)))))))))))))))) = sK118,
    inference(cnf_transformation,[],[f2]) ).

fof(f2606,plain,
    spl122_519,
    inference(avatar_split_clause,[],[f455,f2604]) ).

fof(f455,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10)))))))))))))))) = sK121,
    inference(cnf_transformation,[],[f2]) ).

fof(f2602,plain,
    spl122_518,
    inference(avatar_split_clause,[],[f454,f2600]) ).

fof(f454,plain,
    sK45 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK23)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2598,plain,
    spl122_517,
    inference(avatar_split_clause,[],[f437,f2596]) ).

fof(f437,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK97)))))))))))))))) = sK72,
    inference(cnf_transformation,[],[f2]) ).

fof(f2594,plain,
    spl122_516,
    inference(avatar_split_clause,[],[f425,f2592]) ).

fof(f425,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8)))))))))))))))) = sK94,
    inference(cnf_transformation,[],[f2]) ).

fof(f2590,plain,
    spl122_515,
    inference(avatar_split_clause,[],[f422,f2588]) ).

fof(f422,plain,
    sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK96)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2586,plain,
    spl122_514,
    inference(avatar_split_clause,[],[f417,f2584]) ).

fof(f417,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK97)))))))))))))))) = sK44,
    inference(cnf_transformation,[],[f2]) ).

fof(f2582,plain,
    spl122_513,
    inference(avatar_split_clause,[],[f411,f2580]) ).

fof(f411,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK64)))))))))))))))) = sK3,
    inference(cnf_transformation,[],[f2]) ).

fof(f2578,plain,
    spl122_512,
    inference(avatar_split_clause,[],[f398,f2576]) ).

fof(f398,plain,
    sK25 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2574,plain,
    spl122_511,
    inference(avatar_split_clause,[],[f396,f2572]) ).

fof(f396,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK60)))))))))))))))) = sK115,
    inference(cnf_transformation,[],[f2]) ).

fof(f2570,plain,
    spl122_510,
    inference(avatar_split_clause,[],[f394,f2568]) ).

fof(f394,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK27)))))))))))))))) = sK54,
    inference(cnf_transformation,[],[f2]) ).

fof(f2566,plain,
    spl122_509,
    inference(avatar_split_clause,[],[f369,f2564]) ).

fof(f369,plain,
    sK116 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK98)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2562,plain,
    spl122_508,
    inference(avatar_split_clause,[],[f368,f2560]) ).

fof(f368,plain,
    sK52 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK33)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2558,plain,
    spl122_507,
    inference(avatar_split_clause,[],[f367,f2556]) ).

fof(f367,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK117)))))))))))))))) = sK59,
    inference(cnf_transformation,[],[f2]) ).

fof(f2554,plain,
    spl122_506,
    inference(avatar_split_clause,[],[f336,f2552]) ).

fof(f336,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK70)))))))))))))))) = sK50,
    inference(cnf_transformation,[],[f2]) ).

fof(f2550,plain,
    spl122_505,
    inference(avatar_split_clause,[],[f329,f2548]) ).

fof(f329,plain,
    sK93 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK79)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2546,plain,
    spl122_504,
    inference(avatar_split_clause,[],[f325,f2544]) ).

fof(f325,plain,
    sK18 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK41)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2542,plain,
    spl122_503,
    inference(avatar_split_clause,[],[f314,f2540]) ).

fof(f314,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK55)))))))))))))))) = sK40,
    inference(cnf_transformation,[],[f2]) ).

fof(f2538,plain,
    spl122_502,
    inference(avatar_split_clause,[],[f311,f2536]) ).

fof(f311,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK63)))))))))))))))) = sK20,
    inference(cnf_transformation,[],[f2]) ).

fof(f2534,plain,
    spl122_501,
    inference(avatar_split_clause,[],[f304,f2532]) ).

fof(f304,plain,
    sK103 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2530,plain,
    spl122_500,
    inference(avatar_split_clause,[],[f300,f2528]) ).

fof(f300,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK37)))))))))))))))) = sK83,
    inference(cnf_transformation,[],[f2]) ).

fof(f2526,plain,
    spl122_499,
    inference(avatar_split_clause,[],[f294,f2524]) ).

fof(f294,plain,
    sK85 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK98)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2522,plain,
    spl122_498,
    inference(avatar_split_clause,[],[f279,f2520]) ).

fof(f279,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK96)))))))))))))))) = sK61,
    inference(cnf_transformation,[],[f2]) ).

fof(f2518,plain,
    spl122_497,
    inference(avatar_split_clause,[],[f264,f2516]) ).

fof(f264,plain,
    sK62 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2514,plain,
    spl122_496,
    inference(avatar_split_clause,[],[f262,f2512]) ).

fof(f262,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK26)))))))))))))))) = sK36,
    inference(cnf_transformation,[],[f2]) ).

fof(f2510,plain,
    spl122_495,
    inference(avatar_split_clause,[],[f254,f2508]) ).

fof(f254,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK48)))))))))))))))) = sK88,
    inference(cnf_transformation,[],[f2]) ).

fof(f2506,plain,
    spl122_494,
    inference(avatar_split_clause,[],[f252,f2504]) ).

fof(f252,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK60)))))))))))))))) = sK113,
    inference(cnf_transformation,[],[f2]) ).

fof(f2502,plain,
    spl122_493,
    inference(avatar_split_clause,[],[f249,f2500]) ).

fof(f249,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16)))))))))))))))) = sK75,
    inference(cnf_transformation,[],[f2]) ).

fof(f2498,plain,
    spl122_492,
    inference(avatar_split_clause,[],[f247,f2496]) ).

fof(f247,plain,
    sK112 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK109)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2494,plain,
    spl122_491,
    inference(avatar_split_clause,[],[f245,f2492]) ).

fof(f245,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK28)))))))))))))))) = sK69,
    inference(cnf_transformation,[],[f2]) ).

fof(f2490,plain,
    spl122_490,
    inference(avatar_split_clause,[],[f238,f2488]) ).

fof(f238,plain,
    sK39 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK109)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2486,plain,
    spl122_489,
    inference(avatar_split_clause,[],[f224,f2484]) ).

fof(f224,plain,
    sK1 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK65)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2482,plain,
    spl122_488,
    inference(avatar_split_clause,[],[f216,f2480]) ).

fof(f216,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK31)))))))))))))))) = sK90,
    inference(cnf_transformation,[],[f2]) ).

fof(f2478,plain,
    spl122_487,
    inference(avatar_split_clause,[],[f214,f2476]) ).

fof(f214,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK102)))))))))))))))) = sK57,
    inference(cnf_transformation,[],[f2]) ).

fof(f2474,plain,
    spl122_486,
    inference(avatar_split_clause,[],[f209,f2472]) ).

fof(f209,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK33)))))))))))))))) = sK119,
    inference(cnf_transformation,[],[f2]) ).

fof(f2470,plain,
    spl122_485,
    inference(avatar_split_clause,[],[f207,f2468]) ).

fof(f207,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK79)))))))))))))))) = sK47,
    inference(cnf_transformation,[],[f2]) ).

fof(f2466,plain,
    spl122_484,
    inference(avatar_split_clause,[],[f184,f2464]) ).

fof(f184,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK114)))))))))))))))) = sK76,
    inference(cnf_transformation,[],[f2]) ).

fof(f2462,plain,
    spl122_483,
    inference(avatar_split_clause,[],[f181,f2460]) ).

fof(f181,plain,
    sK108 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK99)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2458,plain,
    spl122_482,
    inference(avatar_split_clause,[],[f175,f2456]) ).

fof(f175,plain,
    sK46 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2454,plain,
    spl122_481,
    inference(avatar_split_clause,[],[f172,f2452]) ).

fof(f172,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK58)))))))))))))))) = sK81,
    inference(cnf_transformation,[],[f2]) ).

fof(f2450,plain,
    spl122_480,
    inference(avatar_split_clause,[],[f170,f2448]) ).

fof(f170,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK102)))))))))))))))) = sK101,
    inference(cnf_transformation,[],[f2]) ).

fof(f2446,plain,
    spl122_479,
    inference(avatar_split_clause,[],[f163,f2444]) ).

fof(f163,plain,
    sK56 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK91)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2442,plain,
    spl122_478,
    inference(avatar_split_clause,[],[f161,f2440]) ).

fof(f161,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK70)))))))))))))))) = sK87,
    inference(cnf_transformation,[],[f2]) ).

fof(f2438,plain,
    spl122_477,
    inference(avatar_split_clause,[],[f153,f2436]) ).

fof(f153,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13)))))))))))))))) = sK24,
    inference(cnf_transformation,[],[f2]) ).

fof(f2434,plain,
    spl122_476,
    inference(avatar_split_clause,[],[f148,f2432]) ).

fof(f148,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK41)))))))))))))))) = sK29,
    inference(cnf_transformation,[],[f2]) ).

fof(f2430,plain,
    spl122_475,
    inference(avatar_split_clause,[],[f143,f2428]) ).

fof(f143,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK106)))))))))))))))) = sK68,
    inference(cnf_transformation,[],[f2]) ).

fof(f2426,plain,
    spl122_474,
    inference(avatar_split_clause,[],[f141,f2424]) ).

fof(f141,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK106)))))))))))))))) = sK49,
    inference(cnf_transformation,[],[f2]) ).

fof(f2422,plain,
    spl122_473,
    inference(avatar_split_clause,[],[f133,f2420]) ).

fof(f133,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK65)))))))))))))))) = sK67,
    inference(cnf_transformation,[],[f2]) ).

fof(f2418,plain,
    spl122_472,
    inference(avatar_split_clause,[],[f123,f2416]) ).

fof(f123,plain,
    sK104 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK91)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2414,plain,
    spl122_471,
    inference(avatar_split_clause,[],[f120,f2412]) ).

fof(f120,plain,
    sK100 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK37)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2410,plain,
    spl122_470,
    inference(avatar_split_clause,[],[f112,f2408]) ).

fof(f112,plain,
    sK5 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2406,plain,
    spl122_469,
    inference(avatar_split_clause,[],[f111,f2404]) ).

fof(f111,plain,
    sK43 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2402,plain,
    spl122_468,
    inference(avatar_split_clause,[],[f109,f2400]) ).

fof(f109,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK74)))))))))))))))) = sK82,
    inference(cnf_transformation,[],[f2]) ).

fof(f2398,plain,
    spl122_467,
    inference(avatar_split_clause,[],[f108,f2396]) ).

fof(f108,plain,
    sK7 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2394,plain,
    spl122_466,
    inference(avatar_split_clause,[],[f92,f2392]) ).

fof(f92,plain,
    sK34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2390,plain,
    spl122_465,
    inference(avatar_split_clause,[],[f78,f2388]) ).

fof(f78,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK86)))))))))))))))) = sK89,
    inference(cnf_transformation,[],[f2]) ).

fof(f2386,plain,
    spl122_464,
    inference(avatar_split_clause,[],[f76,f2384]) ).

fof(f76,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK117)))))))))))))))) = sK92,
    inference(cnf_transformation,[],[f2]) ).

fof(f2382,plain,
    spl122_463,
    inference(avatar_split_clause,[],[f75,f2380]) ).

fof(f75,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK28)))))))))))))))) = sK9,
    inference(cnf_transformation,[],[f2]) ).

fof(f2378,plain,
    spl122_462,
    inference(avatar_split_clause,[],[f66,f2376]) ).

fof(f66,plain,
    sK30 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK27)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2374,plain,
    spl122_461,
    inference(avatar_split_clause,[],[f60,f2372]) ).

fof(f60,plain,
    sK110 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK48)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2370,plain,
    spl122_460,
    inference(avatar_split_clause,[],[f57,f2368]) ).

fof(f57,plain,
    sK38 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK26)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2366,plain,
    spl122_459,
    inference(avatar_split_clause,[],[f53,f2364]) ).

fof(f53,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK64)))))))))))))))) = sK53,
    inference(cnf_transformation,[],[f2]) ).

fof(f2362,plain,
    spl122_458,
    inference(avatar_split_clause,[],[f48,f2360]) ).

fof(f48,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK74)))))))))))))))) = sK11,
    inference(cnf_transformation,[],[f2]) ).

fof(f2358,plain,
    spl122_457,
    inference(avatar_split_clause,[],[f35,f2356]) ).

fof(f35,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK84)))))))))))))))) = sK35,
    inference(cnf_transformation,[],[f2]) ).

fof(f2354,plain,
    spl122_456,
    inference(avatar_split_clause,[],[f30,f2352]) ).

fof(f30,plain,
    sK4 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK84)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2350,plain,
    spl122_455,
    inference(avatar_split_clause,[],[f23,f2348]) ).

fof(f23,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6)))))))))))))))) = sK2,
    inference(cnf_transformation,[],[f2]) ).

fof(f2346,plain,
    spl122_454,
    inference(avatar_split_clause,[],[f22,f2344]) ).

fof(f22,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK23)))))))))))))))) = sK105,
    inference(cnf_transformation,[],[f2]) ).

fof(f2342,plain,
    spl122_453,
    inference(avatar_split_clause,[],[f13,f2340]) ).

fof(f13,plain,
    sK95 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK71)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2338,plain,
    spl122_452,
    inference(avatar_split_clause,[],[f522,f2336]) ).

fof(f522,plain,
    sK16 = sum(sum(pred(sK27),succ(sK12)),sum(pred(sK12),succ(sK27))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2334,plain,
    spl122_451,
    inference(avatar_split_clause,[],[f516,f2332]) ).

fof(f516,plain,
    sum(sum(pred(sK33),succ(sK97)),sum(pred(sK97),succ(sK33))) = sK26,
    inference(cnf_transformation,[],[f2]) ).

fof(f2330,plain,
    spl122_450,
    inference(avatar_split_clause,[],[f503,f2328]) ).

fof(f503,plain,
    sK13 = sum(sum(pred(sK114),succ(sK84)),sum(pred(sK84),succ(sK114))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2326,plain,
    spl122_449,
    inference(avatar_split_clause,[],[f478,f2324]) ).

fof(f478,plain,
    sum(pred(sK24),sum(succ(sK7),sum(pred(sK56),succ(sK104)))) = sK106,
    inference(cnf_transformation,[],[f2]) ).

fof(f2322,plain,
    spl122_448,
    inference(avatar_split_clause,[],[f473,f2320]) ).

fof(f473,plain,
    sK60 = sum(sum(pred(sK16),succ(sK109)),sum(pred(sK109),succ(sK16))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2318,plain,
    spl122_447,
    inference(avatar_split_clause,[],[f468,f2316]) ).

fof(f468,plain,
    sum(pred(sK115),sum(succ(sK113),sum(pred(sK78),succ(sK40)))) = sK14,
    inference(cnf_transformation,[],[f2]) ).

fof(f2314,plain,
    spl122_446,
    inference(avatar_split_clause,[],[f459,f2312]) ).

fof(f459,plain,
    sK55 = sum(pred(sK51),sum(succ(sK75),sum(pred(sK112),succ(sK39)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2310,plain,
    spl122_445,
    inference(avatar_split_clause,[],[f418,f2308]) ).

fof(f418,plain,
    sum(sum(pred(sK6),succ(sK37)),sum(pred(sK37),succ(sK6))) = sK17,
    inference(cnf_transformation,[],[f2]) ).

fof(f2306,plain,
    spl122_444,
    inference(avatar_split_clause,[],[f415,f2304]) ).

fof(f415,plain,
    sK65 = sum(pred(sK38),sum(succ(sK36),sum(pred(sK29),succ(sK18)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2302,plain,
    spl122_443,
    inference(avatar_split_clause,[],[f395,f2300]) ).

fof(f395,plain,
    sum(pred(sK59),sum(succ(sK92),sum(pred(sK61),succ(sK22)))) = sK97,
    inference(cnf_transformation,[],[f2]) ).

fof(f2298,plain,
    spl122_442,
    inference(avatar_split_clause,[],[f335,f2296]) ).

fof(f335,plain,
    sum(sum(pred(sK0),succ(sK65)),sum(pred(sK65),succ(sK0))) = sK58,
    inference(cnf_transformation,[],[f2]) ).

fof(f2294,plain,
    spl122_441,
    inference(avatar_split_clause,[],[f331,f2292]) ).

fof(f331,plain,
    sum(pred(sK9),sum(succ(sK69),sum(pred(sK85),succ(sK116)))) = sK63,
    inference(cnf_transformation,[],[f2]) ).

fof(f2290,plain,
    spl122_440,
    inference(avatar_split_clause,[],[f285,f2288]) ).

fof(f285,plain,
    sum(pred(sK52),sum(succ(sK119),sum(pred(sK44),succ(sK72)))) = sK41,
    inference(cnf_transformation,[],[f2]) ).

fof(f2286,plain,
    spl122_439,
    inference(avatar_split_clause,[],[f284,f2284]) ).

fof(f284,plain,
    sum(pred(sK2),sum(succ(sK34),sum(pred(sK83),succ(sK100)))) = sK77,
    inference(cnf_transformation,[],[f2]) ).

fof(f2282,plain,
    spl122_438,
    inference(avatar_split_clause,[],[f273,f2280]) ).

fof(f273,plain,
    sum(sum(pred(sK58),succ(sK74)),sum(pred(sK74),succ(sK58))) = sK102,
    inference(cnf_transformation,[],[f2]) ).

fof(f2278,plain,
    spl122_437,
    inference(avatar_split_clause,[],[f270,f2276]) ).

fof(f270,plain,
    sum(sum(pred(sK117),succ(sK96)),sum(pred(sK96),succ(sK117))) = sK33,
    inference(cnf_transformation,[],[f2]) ).

fof(f2274,plain,
    spl122_436,
    inference(avatar_split_clause,[],[f231,f2272]) ).

fof(f231,plain,
    sum(sum(pred(sK71),succ(sK106)),sum(pred(sK106),succ(sK71))) = sK23,
    inference(cnf_transformation,[],[f2]) ).

fof(f2270,plain,
    spl122_435,
    inference(avatar_split_clause,[],[f215,f2268]) ).

fof(f215,plain,
    sum(sum(pred(sK48),succ(sK31)),sum(pred(sK31),succ(sK48))) = sK6,
    inference(cnf_transformation,[],[f2]) ).

fof(f2266,plain,
    spl122_434,
    inference(avatar_split_clause,[],[f203,f2264]) ).

fof(f203,plain,
    sum(sum(pred(sK99),succ(sK14)),sum(pred(sK14),succ(sK99))) = sK48,
    inference(cnf_transformation,[],[f2]) ).

fof(f2262,plain,
    spl122_433,
    inference(avatar_split_clause,[],[f201,f2260]) ).

fof(f201,plain,
    sK0 = sum(sum(pred(sK26),succ(sK41)),sum(pred(sK41),succ(sK26))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2258,plain,
    spl122_432,
    inference(avatar_split_clause,[],[f198,f2256]) ).

fof(f198,plain,
    sK8 = sum(pred(sK95),sum(succ(sK80),sum(pred(sK68),succ(sK49)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2254,plain,
    spl122_431,
    inference(avatar_split_clause,[],[f192,f2252]) ).

fof(f192,plain,
    sK91 = sum(pred(sK76),sum(succ(sK19),sum(pred(sK35),succ(sK4)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2250,plain,
    spl122_430,
    inference(avatar_split_clause,[],[f191,f2248]) ).

fof(f191,plain,
    sK99 = sum(sum(pred(sK60),succ(sK55)),sum(pred(sK55),succ(sK60))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2246,plain,
    spl122_429,
    inference(avatar_split_clause,[],[f182,f2244]) ).

fof(f182,plain,
    sum(sum(pred(sK15),succ(sK86)),sum(pred(sK86),succ(sK15))) = sK117,
    inference(cnf_transformation,[],[f2]) ).

fof(f2242,plain,
    spl122_428,
    inference(avatar_split_clause,[],[f154,f2240]) ).

fof(f154,plain,
    sum(pred(sK101),sum(succ(sK57),sum(pred(sK87),succ(sK50)))) = sK10,
    inference(cnf_transformation,[],[f2]) ).

fof(f2238,plain,
    spl122_427,
    inference(avatar_split_clause,[],[f145,f2236]) ).

fof(f145,plain,
    sK15 = sum(sum(pred(sK79),succ(sK63)),sum(pred(sK63),succ(sK79))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2234,plain,
    spl122_426,
    inference(avatar_split_clause,[],[f136,f2232]) ).

fof(f136,plain,
    sK86 = sum(pred(sK47),sum(succ(sK93),sum(pred(sK20),succ(sK66)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2230,plain,
    spl122_425,
    inference(avatar_split_clause,[],[f131,f2228]) ).

fof(f131,plain,
    sum(pred(sK105),sum(succ(sK45),sum(pred(sK103),succ(sK94)))) = sK98,
    inference(cnf_transformation,[],[f2]) ).

fof(f2226,plain,
    spl122_424,
    inference(avatar_split_clause,[],[f122,f2224]) ).

fof(f122,plain,
    sum(pred(sK110),sum(succ(sK88),sum(pred(sK90),succ(sK42)))) = sK37,
    inference(cnf_transformation,[],[f2]) ).

fof(f2222,plain,
    spl122_423,
    inference(avatar_split_clause,[],[f117,f2220]) ).

fof(f117,plain,
    sum(pred(sK73),sum(succ(sK21),sum(pred(sK120),succ(sK89)))) = sK96,
    inference(cnf_transformation,[],[f2]) ).

fof(f2218,plain,
    spl122_422,
    inference(avatar_split_clause,[],[f114,f2216]) ).

fof(f114,plain,
    sK64 = sum(sum(pred(sK102),succ(sK70)),sum(pred(sK70),succ(sK102))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2214,plain,
    spl122_421,
    inference(avatar_split_clause,[],[f110,f2212]) ).

fof(f110,plain,
    sK70 = sum(pred(sK118),sum(succ(sK81),sum(pred(sK11),succ(sK82)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2210,plain,
    spl122_420,
    inference(avatar_split_clause,[],[f103,f2208]) ).

fof(f103,plain,
    sum(pred(sK108),sum(succ(sK111),sum(pred(sK43),succ(sK62)))) = sK31,
    inference(cnf_transformation,[],[f2]) ).

fof(f2206,plain,
    spl122_419,
    inference(avatar_split_clause,[],[f90,f2204]) ).

fof(f90,plain,
    sum(sum(pred(sK64),succ(sK10)),sum(pred(sK10),succ(sK64))) = sK27,
    inference(cnf_transformation,[],[f2]) ).

fof(f2202,plain,
    spl122_418,
    inference(avatar_split_clause,[],[f58,f2200]) ).

fof(f58,plain,
    sum(sum(pred(sK23),succ(sK8)),sum(pred(sK8),succ(sK23))) = sK28,
    inference(cnf_transformation,[],[f2]) ).

fof(f2198,plain,
    spl122_417,
    inference(avatar_split_clause,[],[f38,f2196]) ).

fof(f38,plain,
    sum(sum(pred(sK13),succ(sK91)),sum(pred(sK91),succ(sK13))) = sK71,
    inference(cnf_transformation,[],[f2]) ).

fof(f2194,plain,
    spl122_416,
    inference(avatar_split_clause,[],[f25,f2192]) ).

fof(f25,plain,
    sK74 = sum(pred(sK107),sum(succ(sK32),sum(pred(sK67),succ(sK1)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2190,plain,
    spl122_415,
    inference(avatar_split_clause,[],[f18,f2188]) ).

fof(f18,plain,
    sum(pred(sK53),sum(succ(sK3),sum(pred(sK121),succ(sK46)))) = sK12,
    inference(cnf_transformation,[],[f2]) ).

fof(f2186,plain,
    spl122_414,
    inference(avatar_split_clause,[],[f10,f2184]) ).

fof(f10,plain,
    sK109 = sum(pred(sK30),sum(succ(sK54),sum(pred(sK5),succ(sK25)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2182,plain,
    spl122_413,
    inference(avatar_split_clause,[],[f6,f2180]) ).

fof(f6,plain,
    sum(sum(pred(sK28),succ(sK98)),sum(pred(sK98),succ(sK28))) = sK79,
    inference(cnf_transformation,[],[f2]) ).

fof(f2178,plain,
    ( ~ spl122_409
    | ~ spl122_410
    | ~ spl122_411
    | ~ spl122_412 ),
    inference(avatar_split_clause,[],[f5,f2176,f2173,f2170,f2167]) ).

fof(f2170,plain,
    ( spl122_410
  <=> sK37 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_410])]) ).

fof(f2173,plain,
    ( spl122_411
  <=> sK99 = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_411])]) ).

fof(f2176,plain,
    ( spl122_412
  <=> sK31 = sK48 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_412])]) ).

fof(f5,plain,
    ( sK31 != sK48
    | sK99 != sK14
    | sK37 != sK6
    | sK77 != sK17 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2165,plain,
    spl122_408,
    inference(avatar_split_clause,[],[f530,f2163]) ).

fof(f2163,plain,
    ( spl122_408
  <=> n0 = sum(n12,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_408])]) ).

fof(f530,plain,
    n0 = sum(n12,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2161,plain,
    spl122_407,
    inference(avatar_split_clause,[],[f528,f2159]) ).

fof(f2159,plain,
    ( spl122_407
  <=> n4 = sum(n10,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_407])]) ).

fof(f528,plain,
    n4 = sum(n10,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f2157,plain,
    spl122_406,
    inference(avatar_split_clause,[],[f526,f2155]) ).

fof(f2155,plain,
    ( spl122_406
  <=> n9 = sum(n3,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_406])]) ).

fof(f526,plain,
    n9 = sum(n3,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f2153,plain,
    spl122_405,
    inference(avatar_split_clause,[],[f525,f2151]) ).

fof(f2151,plain,
    ( spl122_405
  <=> n1 = sum(n10,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_405])]) ).

fof(f525,plain,
    n1 = sum(n10,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f2149,plain,
    spl122_404,
    inference(avatar_split_clause,[],[f523,f2147]) ).

fof(f2147,plain,
    ( spl122_404
  <=> n5 = sum(n12,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_404])]) ).

fof(f523,plain,
    n5 = sum(n12,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f2145,plain,
    spl122_403,
    inference(avatar_split_clause,[],[f520,f2143]) ).

fof(f2143,plain,
    ( spl122_403
  <=> n3 = sum(n8,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_403])]) ).

fof(f520,plain,
    n3 = sum(n8,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f2141,plain,
    spl122_402,
    inference(avatar_split_clause,[],[f519,f2139]) ).

fof(f2139,plain,
    ( spl122_402
  <=> n7 = sum(n5,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_402])]) ).

fof(f519,plain,
    n7 = sum(n5,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2137,plain,
    spl122_401,
    inference(avatar_split_clause,[],[f515,f2135]) ).

fof(f2135,plain,
    ( spl122_401
  <=> n12 = sum(n13,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_401])]) ).

fof(f515,plain,
    n12 = sum(n13,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f2133,plain,
    spl122_400,
    inference(avatar_split_clause,[],[f511,f2131]) ).

fof(f2131,plain,
    ( spl122_400
  <=> n3 = sum(n11,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_400])]) ).

fof(f511,plain,
    n3 = sum(n11,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f2129,plain,
    spl122_399,
    inference(avatar_split_clause,[],[f508,f2127]) ).

fof(f2127,plain,
    ( spl122_399
  <=> n15 = sum(n6,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_399])]) ).

fof(f508,plain,
    n15 = sum(n6,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f2125,plain,
    spl122_398,
    inference(avatar_split_clause,[],[f507,f2123]) ).

fof(f2123,plain,
    ( spl122_398
  <=> n5 = sum(n10,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_398])]) ).

fof(f507,plain,
    n5 = sum(n10,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f2121,plain,
    spl122_397,
    inference(avatar_split_clause,[],[f506,f2119]) ).

fof(f2119,plain,
    ( spl122_397
  <=> n5 = sum(n0,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_397])]) ).

fof(f506,plain,
    n5 = sum(n0,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f2117,plain,
    spl122_396,
    inference(avatar_split_clause,[],[f502,f2115]) ).

fof(f2115,plain,
    ( spl122_396
  <=> n5 = sum(n6,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_396])]) ).

fof(f502,plain,
    n5 = sum(n6,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f2113,plain,
    spl122_395,
    inference(avatar_split_clause,[],[f501,f2111]) ).

fof(f2111,plain,
    ( spl122_395
  <=> n11 = sum(n15,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_395])]) ).

fof(f501,plain,
    n11 = sum(n15,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f2109,plain,
    spl122_394,
    inference(avatar_split_clause,[],[f497,f2107]) ).

fof(f2107,plain,
    ( spl122_394
  <=> n1 = sum(n4,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_394])]) ).

fof(f497,plain,
    n1 = sum(n4,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f2105,plain,
    spl122_393,
    inference(avatar_split_clause,[],[f496,f2103]) ).

fof(f2103,plain,
    ( spl122_393
  <=> n6 = sum(n8,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_393])]) ).

fof(f496,plain,
    n6 = sum(n8,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f2101,plain,
    spl122_392,
    inference(avatar_split_clause,[],[f495,f2099]) ).

fof(f495,plain,
    n8 = sum(n12,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f2097,plain,
    spl122_391,
    inference(avatar_split_clause,[],[f493,f2095]) ).

fof(f2095,plain,
    ( spl122_391
  <=> n10 = sum(n1,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_391])]) ).

fof(f493,plain,
    n10 = sum(n1,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f2093,plain,
    spl122_390,
    inference(avatar_split_clause,[],[f491,f2091]) ).

fof(f2091,plain,
    ( spl122_390
  <=> n10 = sum(n6,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_390])]) ).

fof(f491,plain,
    n10 = sum(n6,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2089,plain,
    spl122_389,
    inference(avatar_split_clause,[],[f490,f2087]) ).

fof(f2087,plain,
    ( spl122_389
  <=> n6 = sum(n9,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_389])]) ).

fof(f490,plain,
    n6 = sum(n9,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f2085,plain,
    spl122_388,
    inference(avatar_split_clause,[],[f489,f2083]) ).

fof(f2083,plain,
    ( spl122_388
  <=> n1 = sum(n15,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_388])]) ).

fof(f489,plain,
    n1 = sum(n15,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2081,plain,
    spl122_387,
    inference(avatar_split_clause,[],[f486,f2079]) ).

fof(f2079,plain,
    ( spl122_387
  <=> n13 = sum(n8,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_387])]) ).

fof(f486,plain,
    n13 = sum(n8,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f2077,plain,
    spl122_386,
    inference(avatar_split_clause,[],[f485,f2075]) ).

fof(f2075,plain,
    ( spl122_386
  <=> n0 = sum(n2,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_386])]) ).

fof(f485,plain,
    n0 = sum(n2,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f2073,plain,
    spl122_385,
    inference(avatar_split_clause,[],[f480,f2071]) ).

fof(f2071,plain,
    ( spl122_385
  <=> n10 = sum(n12,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_385])]) ).

fof(f480,plain,
    n10 = sum(n12,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f2069,plain,
    spl122_384,
    inference(avatar_split_clause,[],[f479,f2067]) ).

fof(f2067,plain,
    ( spl122_384
  <=> n5 = sum(n9,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_384])]) ).

fof(f479,plain,
    n5 = sum(n9,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f2065,plain,
    spl122_383,
    inference(avatar_split_clause,[],[f472,f2063]) ).

fof(f2063,plain,
    ( spl122_383
  <=> n2 = sum(n4,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_383])]) ).

fof(f472,plain,
    n2 = sum(n4,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f2061,plain,
    spl122_382,
    inference(avatar_split_clause,[],[f471,f2059]) ).

fof(f2059,plain,
    ( spl122_382
  <=> n6 = sum(n14,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_382])]) ).

fof(f471,plain,
    n6 = sum(n14,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f2057,plain,
    spl122_381,
    inference(avatar_split_clause,[],[f470,f2055]) ).

fof(f2055,plain,
    ( spl122_381
  <=> n13 = sum(n3,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_381])]) ).

fof(f470,plain,
    n13 = sum(n3,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f2053,plain,
    spl122_380,
    inference(avatar_split_clause,[],[f466,f2051]) ).

fof(f2051,plain,
    ( spl122_380
  <=> n14 = sum(n12,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_380])]) ).

fof(f466,plain,
    n14 = sum(n12,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2049,plain,
    spl122_379,
    inference(avatar_split_clause,[],[f465,f2047]) ).

fof(f2047,plain,
    ( spl122_379
  <=> n4 = sum(n3,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_379])]) ).

fof(f465,plain,
    n4 = sum(n3,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f2045,plain,
    spl122_378,
    inference(avatar_split_clause,[],[f463,f2043]) ).

fof(f2043,plain,
    ( spl122_378
  <=> n13 = sum(n1,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_378])]) ).

fof(f463,plain,
    n13 = sum(n1,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f2041,plain,
    spl122_377,
    inference(avatar_split_clause,[],[f461,f2039]) ).

fof(f2039,plain,
    ( spl122_377
  <=> n12 = sum(n12,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_377])]) ).

fof(f461,plain,
    n12 = sum(n12,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2037,plain,
    spl122_376,
    inference(avatar_split_clause,[],[f457,f2035]) ).

fof(f2035,plain,
    ( spl122_376
  <=> n7 = sum(n0,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_376])]) ).

fof(f457,plain,
    n7 = sum(n0,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f2033,plain,
    spl122_375,
    inference(avatar_split_clause,[],[f453,f2031]) ).

fof(f2031,plain,
    ( spl122_375
  <=> n8 = sum(n6,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_375])]) ).

fof(f453,plain,
    n8 = sum(n6,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2029,plain,
    spl122_374,
    inference(avatar_split_clause,[],[f452,f2027]) ).

fof(f2027,plain,
    ( spl122_374
  <=> n6 = sum(n0,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_374])]) ).

fof(f452,plain,
    n6 = sum(n0,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f2025,plain,
    spl122_373,
    inference(avatar_split_clause,[],[f449,f2023]) ).

fof(f449,plain,
    n15 = sum(n9,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f2021,plain,
    spl122_372,
    inference(avatar_split_clause,[],[f448,f2019]) ).

fof(f2019,plain,
    ( spl122_372
  <=> n13 = sum(n10,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_372])]) ).

fof(f448,plain,
    n13 = sum(n10,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2017,plain,
    spl122_371,
    inference(avatar_split_clause,[],[f446,f2015]) ).

fof(f2015,plain,
    ( spl122_371
  <=> n8 = sum(n14,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_371])]) ).

fof(f446,plain,
    n8 = sum(n14,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f2013,plain,
    spl122_370,
    inference(avatar_split_clause,[],[f442,f2011]) ).

fof(f2011,plain,
    ( spl122_370
  <=> n12 = sum(n3,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_370])]) ).

fof(f442,plain,
    n12 = sum(n3,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f2009,plain,
    spl122_369,
    inference(avatar_split_clause,[],[f441,f2007]) ).

fof(f2007,plain,
    ( spl122_369
  <=> n15 = sum(n5,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_369])]) ).

fof(f441,plain,
    n15 = sum(n5,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f2005,plain,
    spl122_368,
    inference(avatar_split_clause,[],[f440,f2003]) ).

fof(f2003,plain,
    ( spl122_368
  <=> n5 = sum(n4,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_368])]) ).

fof(f440,plain,
    n5 = sum(n4,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f2001,plain,
    spl122_367,
    inference(avatar_split_clause,[],[f439,f1999]) ).

fof(f1999,plain,
    ( spl122_367
  <=> n10 = sum(n0,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_367])]) ).

fof(f439,plain,
    n10 = sum(n0,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1997,plain,
    spl122_366,
    inference(avatar_split_clause,[],[f438,f1995]) ).

fof(f1995,plain,
    ( spl122_366
  <=> n3 = sum(n15,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_366])]) ).

fof(f438,plain,
    n3 = sum(n15,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1993,plain,
    spl122_365,
    inference(avatar_split_clause,[],[f436,f1991]) ).

fof(f1991,plain,
    ( spl122_365
  <=> n15 = sum(n15,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_365])]) ).

fof(f436,plain,
    n15 = sum(n15,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1989,plain,
    spl122_364,
    inference(avatar_split_clause,[],[f435,f1987]) ).

fof(f1987,plain,
    ( spl122_364
  <=> n9 = sum(n6,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_364])]) ).

fof(f435,plain,
    n9 = sum(n6,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1985,plain,
    spl122_363,
    inference(avatar_split_clause,[],[f433,f1983]) ).

fof(f1983,plain,
    ( spl122_363
  <=> n11 = sum(n6,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_363])]) ).

fof(f433,plain,
    n11 = sum(n6,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1981,plain,
    spl122_362,
    inference(avatar_split_clause,[],[f431,f1979]) ).

fof(f1979,plain,
    ( spl122_362
  <=> n7 = sum(n4,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_362])]) ).

fof(f431,plain,
    n7 = sum(n4,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1977,plain,
    spl122_361,
    inference(avatar_split_clause,[],[f430,f1975]) ).

fof(f1975,plain,
    ( spl122_361
  <=> n14 = sum(n6,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_361])]) ).

fof(f430,plain,
    n14 = sum(n6,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1973,plain,
    spl122_360,
    inference(avatar_split_clause,[],[f429,f1971]) ).

fof(f1971,plain,
    ( spl122_360
  <=> n15 = sum(n11,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_360])]) ).

fof(f429,plain,
    n15 = sum(n11,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1969,plain,
    spl122_359,
    inference(avatar_split_clause,[],[f421,f1967]) ).

fof(f1967,plain,
    ( spl122_359
  <=> n5 = sum(n3,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_359])]) ).

fof(f421,plain,
    n5 = sum(n3,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1965,plain,
    spl122_358,
    inference(avatar_split_clause,[],[f419,f1963]) ).

fof(f1963,plain,
    ( spl122_358
  <=> n14 = sum(n9,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_358])]) ).

fof(f419,plain,
    n14 = sum(n9,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1961,plain,
    spl122_357,
    inference(avatar_split_clause,[],[f416,f1959]) ).

fof(f1959,plain,
    ( spl122_357
  <=> n9 = sum(n15,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_357])]) ).

fof(f416,plain,
    n9 = sum(n15,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1957,plain,
    spl122_356,
    inference(avatar_split_clause,[],[f412,f1955]) ).

fof(f1955,plain,
    ( spl122_356
  <=> n2 = sum(n8,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_356])]) ).

fof(f412,plain,
    n2 = sum(n8,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1953,plain,
    spl122_355,
    inference(avatar_split_clause,[],[f410,f1951]) ).

fof(f1951,plain,
    ( spl122_355
  <=> n15 = sum(n13,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_355])]) ).

fof(f410,plain,
    n15 = sum(n13,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1949,plain,
    spl122_354,
    inference(avatar_split_clause,[],[f408,f1947]) ).

fof(f1947,plain,
    ( spl122_354
  <=> n7 = sum(n3,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_354])]) ).

fof(f408,plain,
    n7 = sum(n3,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1945,plain,
    spl122_353,
    inference(avatar_split_clause,[],[f407,f1943]) ).

fof(f1943,plain,
    ( spl122_353
  <=> n3 = sum(n4,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_353])]) ).

fof(f407,plain,
    n3 = sum(n4,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1941,plain,
    spl122_352,
    inference(avatar_split_clause,[],[f406,f1939]) ).

fof(f1939,plain,
    ( spl122_352
  <=> n15 = sum(n8,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_352])]) ).

fof(f406,plain,
    n15 = sum(n8,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1937,plain,
    spl122_351,
    inference(avatar_split_clause,[],[f405,f1935]) ).

fof(f1935,plain,
    ( spl122_351
  <=> n14 = sum(n10,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_351])]) ).

fof(f405,plain,
    n14 = sum(n10,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1933,plain,
    spl122_350,
    inference(avatar_split_clause,[],[f404,f1931]) ).

fof(f1931,plain,
    ( spl122_350
  <=> n5 = sum(n8,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_350])]) ).

fof(f404,plain,
    n5 = sum(n8,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1929,plain,
    spl122_349,
    inference(avatar_split_clause,[],[f403,f1927]) ).

fof(f1927,plain,
    ( spl122_349
  <=> n0 = sum(n1,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_349])]) ).

fof(f403,plain,
    n0 = sum(n1,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1925,plain,
    spl122_348,
    inference(avatar_split_clause,[],[f402,f1923]) ).

fof(f1923,plain,
    ( spl122_348
  <=> n13 = sum(n7,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_348])]) ).

fof(f402,plain,
    n13 = sum(n7,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1921,plain,
    spl122_347,
    inference(avatar_split_clause,[],[f401,f1919]) ).

fof(f1919,plain,
    ( spl122_347
  <=> n4 = sum(n5,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_347])]) ).

fof(f401,plain,
    n4 = sum(n5,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1917,plain,
    spl122_346,
    inference(avatar_split_clause,[],[f400,f1915]) ).

fof(f1915,plain,
    ( spl122_346
  <=> n13 = sum(n5,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_346])]) ).

fof(f400,plain,
    n13 = sum(n5,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1913,plain,
    spl122_345,
    inference(avatar_split_clause,[],[f399,f1911]) ).

fof(f1911,plain,
    ( spl122_345
  <=> n13 = sum(n9,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_345])]) ).

fof(f399,plain,
    n13 = sum(n9,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1909,plain,
    spl122_344,
    inference(avatar_split_clause,[],[f397,f1907]) ).

fof(f1907,plain,
    ( spl122_344
  <=> n10 = sum(n9,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_344])]) ).

fof(f397,plain,
    n10 = sum(n9,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1905,plain,
    spl122_343,
    inference(avatar_split_clause,[],[f393,f1903]) ).

fof(f1903,plain,
    ( spl122_343
  <=> n5 = sum(n2,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_343])]) ).

fof(f393,plain,
    n5 = sum(n2,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1901,plain,
    spl122_342,
    inference(avatar_split_clause,[],[f391,f1899]) ).

fof(f1899,plain,
    ( spl122_342
  <=> n15 = sum(n2,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_342])]) ).

fof(f391,plain,
    n15 = sum(n2,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1897,plain,
    spl122_341,
    inference(avatar_split_clause,[],[f390,f1895]) ).

fof(f1895,plain,
    ( spl122_341
  <=> n8 = sum(n4,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_341])]) ).

fof(f390,plain,
    n8 = sum(n4,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1893,plain,
    spl122_340,
    inference(avatar_split_clause,[],[f389,f1891]) ).

fof(f1891,plain,
    ( spl122_340
  <=> n13 = sum(n6,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_340])]) ).

fof(f389,plain,
    n13 = sum(n6,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1889,plain,
    spl122_339,
    inference(avatar_split_clause,[],[f388,f1887]) ).

fof(f1887,plain,
    ( spl122_339
  <=> n2 = sum(n7,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_339])]) ).

fof(f388,plain,
    n2 = sum(n7,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1885,plain,
    spl122_338,
    inference(avatar_split_clause,[],[f387,f1883]) ).

fof(f1883,plain,
    ( spl122_338
  <=> n3 = sum(n3,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_338])]) ).

fof(f387,plain,
    n3 = sum(n3,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1881,plain,
    spl122_337,
    inference(avatar_split_clause,[],[f386,f1879]) ).

fof(f1879,plain,
    ( spl122_337
  <=> n3 = sum(n0,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_337])]) ).

fof(f386,plain,
    n3 = sum(n0,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1877,plain,
    spl122_336,
    inference(avatar_split_clause,[],[f385,f1875]) ).

fof(f1875,plain,
    ( spl122_336
  <=> n14 = sum(n1,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_336])]) ).

fof(f385,plain,
    n14 = sum(n1,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1873,plain,
    spl122_335,
    inference(avatar_split_clause,[],[f384,f1871]) ).

fof(f1871,plain,
    ( spl122_335
  <=> n15 = sum(n4,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_335])]) ).

fof(f384,plain,
    n15 = sum(n4,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1869,plain,
    spl122_334,
    inference(avatar_split_clause,[],[f382,f1867]) ).

fof(f1867,plain,
    ( spl122_334
  <=> n1 = sum(n5,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_334])]) ).

fof(f382,plain,
    n1 = sum(n5,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1865,plain,
    spl122_333,
    inference(avatar_split_clause,[],[f381,f1863]) ).

fof(f1863,plain,
    ( spl122_333
  <=> n14 = sum(n13,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_333])]) ).

fof(f381,plain,
    n14 = sum(n13,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1861,plain,
    spl122_332,
    inference(avatar_split_clause,[],[f380,f1859]) ).

fof(f1859,plain,
    ( spl122_332
  <=> n10 = sum(n14,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_332])]) ).

fof(f380,plain,
    n10 = sum(n14,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1857,plain,
    spl122_331,
    inference(avatar_split_clause,[],[f379,f1855]) ).

fof(f1855,plain,
    ( spl122_331
  <=> n9 = sum(n10,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_331])]) ).

fof(f379,plain,
    n9 = sum(n10,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1853,plain,
    spl122_330,
    inference(avatar_split_clause,[],[f376,f1851]) ).

fof(f1851,plain,
    ( spl122_330
  <=> n14 = sum(n3,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_330])]) ).

fof(f376,plain,
    n14 = sum(n3,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1849,plain,
    spl122_329,
    inference(avatar_split_clause,[],[f374,f1847]) ).

fof(f1847,plain,
    ( spl122_329
  <=> n12 = sum(n14,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_329])]) ).

fof(f374,plain,
    n12 = sum(n14,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1845,plain,
    spl122_328,
    inference(avatar_split_clause,[],[f373,f1843]) ).

fof(f1843,plain,
    ( spl122_328
  <=> n3 = sum(n14,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_328])]) ).

fof(f373,plain,
    n3 = sum(n14,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1841,plain,
    spl122_327,
    inference(avatar_split_clause,[],[f370,f1839]) ).

fof(f1839,plain,
    ( spl122_327
  <=> n2 = sum(n2,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_327])]) ).

fof(f370,plain,
    n2 = sum(n2,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1837,plain,
    spl122_326,
    inference(avatar_split_clause,[],[f366,f1835]) ).

fof(f1835,plain,
    ( spl122_326
  <=> n13 = sum(n14,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_326])]) ).

fof(f366,plain,
    n13 = sum(n14,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1833,plain,
    spl122_325,
    inference(avatar_split_clause,[],[f364,f1831]) ).

fof(f1831,plain,
    ( spl122_325
  <=> n1 = sum(n8,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_325])]) ).

fof(f364,plain,
    n1 = sum(n8,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1829,plain,
    spl122_324,
    inference(avatar_split_clause,[],[f362,f1827]) ).

fof(f362,plain,
    n0 = sum(n0,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1825,plain,
    spl122_323,
    inference(avatar_split_clause,[],[f361,f1823]) ).

fof(f1823,plain,
    ( spl122_323
  <=> n12 = sum(n8,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_323])]) ).

fof(f361,plain,
    n12 = sum(n8,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1821,plain,
    spl122_322,
    inference(avatar_split_clause,[],[f358,f1819]) ).

fof(f1819,plain,
    ( spl122_322
  <=> n12 = sum(n0,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_322])]) ).

fof(f358,plain,
    n12 = sum(n0,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1817,plain,
    spl122_321,
    inference(avatar_split_clause,[],[f357,f1815]) ).

fof(f1815,plain,
    ( spl122_321
  <=> n7 = sum(n12,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_321])]) ).

fof(f357,plain,
    n7 = sum(n12,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1813,plain,
    spl122_320,
    inference(avatar_split_clause,[],[f355,f1811]) ).

fof(f1811,plain,
    ( spl122_320
  <=> n3 = sum(n13,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_320])]) ).

fof(f355,plain,
    n3 = sum(n13,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1809,plain,
    spl122_319,
    inference(avatar_split_clause,[],[f354,f1807]) ).

fof(f1807,plain,
    ( spl122_319
  <=> n13 = sum(n15,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_319])]) ).

fof(f354,plain,
    n13 = sum(n15,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1805,plain,
    spl122_318,
    inference(avatar_split_clause,[],[f353,f1803]) ).

fof(f353,plain,
    n11 = sum(n2,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1801,plain,
    spl122_317,
    inference(avatar_split_clause,[],[f351,f1799]) ).

fof(f1799,plain,
    ( spl122_317
  <=> n11 = sum(n4,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_317])]) ).

fof(f351,plain,
    n11 = sum(n4,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1797,plain,
    spl122_316,
    inference(avatar_split_clause,[],[f350,f1795]) ).

fof(f1795,plain,
    ( spl122_316
  <=> n2 = sum(n9,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_316])]) ).

fof(f350,plain,
    n2 = sum(n9,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1793,plain,
    spl122_315,
    inference(avatar_split_clause,[],[f349,f1791]) ).

fof(f1791,plain,
    ( spl122_315
  <=> n7 = sum(n2,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_315])]) ).

fof(f349,plain,
    n7 = sum(n2,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1789,plain,
    spl122_314,
    inference(avatar_split_clause,[],[f348,f1787]) ).

fof(f1787,plain,
    ( spl122_314
  <=> n7 = sum(n1,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_314])]) ).

fof(f348,plain,
    n7 = sum(n1,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1785,plain,
    spl122_313,
    inference(avatar_split_clause,[],[f347,f1783]) ).

fof(f1783,plain,
    ( spl122_313
  <=> n11 = sum(n5,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_313])]) ).

fof(f347,plain,
    n11 = sum(n5,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1781,plain,
    spl122_312,
    inference(avatar_split_clause,[],[f346,f1779]) ).

fof(f1779,plain,
    ( spl122_312
  <=> n14 = sum(n8,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_312])]) ).

fof(f346,plain,
    n14 = sum(n8,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1777,plain,
    spl122_311,
    inference(avatar_split_clause,[],[f345,f1775]) ).

fof(f1775,plain,
    ( spl122_311
  <=> n6 = sum(n6,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_311])]) ).

fof(f345,plain,
    n6 = sum(n6,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1773,plain,
    spl122_310,
    inference(avatar_split_clause,[],[f344,f1771]) ).

fof(f1771,plain,
    ( spl122_310
  <=> n2 = sum(n11,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_310])]) ).

fof(f344,plain,
    n2 = sum(n11,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1769,plain,
    spl122_309,
    inference(avatar_split_clause,[],[f341,f1767]) ).

fof(f1767,plain,
    ( spl122_309
  <=> n15 = sum(n12,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_309])]) ).

fof(f341,plain,
    n15 = sum(n12,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1765,plain,
    spl122_308,
    inference(avatar_split_clause,[],[f339,f1763]) ).

fof(f1763,plain,
    ( spl122_308
  <=> n2 = sum(n15,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_308])]) ).

fof(f339,plain,
    n2 = sum(n15,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1761,plain,
    spl122_307,
    inference(avatar_split_clause,[],[f338,f1759]) ).

fof(f1759,plain,
    ( spl122_307
  <=> n12 = sum(n11,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_307])]) ).

fof(f338,plain,
    n12 = sum(n11,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1757,plain,
    spl122_306,
    inference(avatar_split_clause,[],[f334,f1755]) ).

fof(f1755,plain,
    ( spl122_306
  <=> n1 = sum(n2,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_306])]) ).

fof(f334,plain,
    n1 = sum(n2,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1753,plain,
    spl122_305,
    inference(avatar_split_clause,[],[f330,f1751]) ).

fof(f1751,plain,
    ( spl122_305
  <=> n14 = sum(n2,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_305])]) ).

fof(f330,plain,
    n14 = sum(n2,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1749,plain,
    spl122_304,
    inference(avatar_split_clause,[],[f328,f1747]) ).

fof(f1747,plain,
    ( spl122_304
  <=> n7 = sum(n8,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_304])]) ).

fof(f328,plain,
    n7 = sum(n8,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1745,plain,
    spl122_303,
    inference(avatar_split_clause,[],[f326,f1743]) ).

fof(f1743,plain,
    ( spl122_303
  <=> n15 = sum(n0,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_303])]) ).

fof(f326,plain,
    n15 = sum(n0,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1741,plain,
    spl122_302,
    inference(avatar_split_clause,[],[f324,f1739]) ).

fof(f1739,plain,
    ( spl122_302
  <=> n11 = sum(n8,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_302])]) ).

fof(f324,plain,
    n11 = sum(n8,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1737,plain,
    spl122_301,
    inference(avatar_split_clause,[],[f323,f1735]) ).

fof(f1735,plain,
    ( spl122_301
  <=> n1 = sum(n6,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_301])]) ).

fof(f323,plain,
    n1 = sum(n6,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1733,plain,
    spl122_300,
    inference(avatar_split_clause,[],[f322,f1731]) ).

fof(f1731,plain,
    ( spl122_300
  <=> n12 = sum(n15,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_300])]) ).

fof(f322,plain,
    n12 = sum(n15,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1729,plain,
    spl122_299,
    inference(avatar_split_clause,[],[f318,f1727]) ).

fof(f1727,plain,
    ( spl122_299
  <=> n15 = sum(n14,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_299])]) ).

fof(f318,plain,
    n15 = sum(n14,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1725,plain,
    spl122_298,
    inference(avatar_split_clause,[],[f317,f1723]) ).

fof(f1723,plain,
    ( spl122_298
  <=> n8 = sum(n0,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_298])]) ).

fof(f317,plain,
    n8 = sum(n0,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1721,plain,
    spl122_297,
    inference(avatar_split_clause,[],[f316,f1719]) ).

fof(f1719,plain,
    ( spl122_297
  <=> n4 = sum(n6,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_297])]) ).

fof(f316,plain,
    n4 = sum(n6,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1717,plain,
    spl122_296,
    inference(avatar_split_clause,[],[f313,f1715]) ).

fof(f1715,plain,
    ( spl122_296
  <=> n11 = sum(n1,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_296])]) ).

fof(f313,plain,
    n11 = sum(n1,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1713,plain,
    spl122_295,
    inference(avatar_split_clause,[],[f312,f1711]) ).

fof(f1711,plain,
    ( spl122_295
  <=> n13 = sum(n0,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_295])]) ).

fof(f312,plain,
    n13 = sum(n0,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1709,plain,
    spl122_294,
    inference(avatar_split_clause,[],[f310,f1707]) ).

fof(f1707,plain,
    ( spl122_294
  <=> n1 = sum(n7,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_294])]) ).

fof(f310,plain,
    n1 = sum(n7,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1705,plain,
    spl122_293,
    inference(avatar_split_clause,[],[f309,f1703]) ).

fof(f1703,plain,
    ( spl122_293
  <=> n14 = sum(n5,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_293])]) ).

fof(f309,plain,
    n14 = sum(n5,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1701,plain,
    spl122_292,
    inference(avatar_split_clause,[],[f308,f1699]) ).

fof(f1699,plain,
    ( spl122_292
  <=> n6 = sum(n4,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_292])]) ).

fof(f308,plain,
    n6 = sum(n4,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1697,plain,
    spl122_291,
    inference(avatar_split_clause,[],[f306,f1695]) ).

fof(f1695,plain,
    ( spl122_291
  <=> n4 = sum(n11,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_291])]) ).

fof(f306,plain,
    n4 = sum(n11,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1693,plain,
    spl122_290,
    inference(avatar_split_clause,[],[f305,f1691]) ).

fof(f1691,plain,
    ( spl122_290
  <=> n4 = sum(n9,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_290])]) ).

fof(f305,plain,
    n4 = sum(n9,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1689,plain,
    spl122_289,
    inference(avatar_split_clause,[],[f303,f1687]) ).

fof(f1687,plain,
    ( spl122_289
  <=> n7 = sum(n13,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_289])]) ).

fof(f303,plain,
    n7 = sum(n13,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1685,plain,
    spl122_288,
    inference(avatar_split_clause,[],[f301,f1683]) ).

fof(f1683,plain,
    ( spl122_288
  <=> n2 = sum(n6,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_288])]) ).

fof(f301,plain,
    n2 = sum(n6,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1681,plain,
    spl122_287,
    inference(avatar_split_clause,[],[f299,f1679]) ).

fof(f1679,plain,
    ( spl122_287
  <=> n0 = sum(n8,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_287])]) ).

fof(f299,plain,
    n0 = sum(n8,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1677,plain,
    spl122_286,
    inference(avatar_split_clause,[],[f298,f1675]) ).

fof(f1675,plain,
    ( spl122_286
  <=> n1 = sum(n13,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_286])]) ).

fof(f298,plain,
    n1 = sum(n13,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1673,plain,
    spl122_285,
    inference(avatar_split_clause,[],[f297,f1671]) ).

fof(f1671,plain,
    ( spl122_285
  <=> n15 = sum(n3,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_285])]) ).

fof(f297,plain,
    n15 = sum(n3,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1669,plain,
    spl122_284,
    inference(avatar_split_clause,[],[f296,f1667]) ).

fof(f1667,plain,
    ( spl122_284
  <=> n6 = sum(n5,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_284])]) ).

fof(f296,plain,
    n6 = sum(n5,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1665,plain,
    spl122_283,
    inference(avatar_split_clause,[],[f290,f1663]) ).

fof(f290,plain,
    n8 = sum(n5,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1661,plain,
    spl122_282,
    inference(avatar_split_clause,[],[f287,f1659]) ).

fof(f1659,plain,
    ( spl122_282
  <=> n2 = sum(n0,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_282])]) ).

fof(f287,plain,
    n2 = sum(n0,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1657,plain,
    spl122_281,
    inference(avatar_split_clause,[],[f286,f1655]) ).

fof(f1655,plain,
    ( spl122_281
  <=> n10 = sum(n11,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_281])]) ).

fof(f286,plain,
    n10 = sum(n11,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1653,plain,
    spl122_280,
    inference(avatar_split_clause,[],[f283,f1651]) ).

fof(f1651,plain,
    ( spl122_280
  <=> n5 = sum(n1,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_280])]) ).

fof(f283,plain,
    n5 = sum(n1,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1649,plain,
    spl122_279,
    inference(avatar_split_clause,[],[f281,f1647]) ).

fof(f1647,plain,
    ( spl122_279
  <=> n9 = sum(n11,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_279])]) ).

fof(f281,plain,
    n9 = sum(n11,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1645,plain,
    spl122_278,
    inference(avatar_split_clause,[],[f280,f1643]) ).

fof(f1643,plain,
    ( spl122_278
  <=> n13 = sum(n12,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_278])]) ).

fof(f280,plain,
    n13 = sum(n12,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1641,plain,
    spl122_277,
    inference(avatar_split_clause,[],[f276,f1639]) ).

fof(f1639,plain,
    ( spl122_277
  <=> n3 = sum(n2,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_277])]) ).

fof(f276,plain,
    n3 = sum(n2,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1637,plain,
    spl122_276,
    inference(avatar_split_clause,[],[f275,f1635]) ).

fof(f1635,plain,
    ( spl122_276
  <=> n9 = sum(n8,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_276])]) ).

fof(f275,plain,
    n9 = sum(n8,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1633,plain,
    spl122_275,
    inference(avatar_split_clause,[],[f274,f1631]) ).

fof(f1631,plain,
    ( spl122_275
  <=> n14 = sum(n15,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_275])]) ).

fof(f274,plain,
    n14 = sum(n15,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1629,plain,
    spl122_274,
    inference(avatar_split_clause,[],[f272,f1627]) ).

fof(f272,plain,
    n6 = sum(n11,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1625,plain,
    spl122_273,
    inference(avatar_split_clause,[],[f271,f1623]) ).

fof(f1623,plain,
    ( spl122_273
  <=> n0 = sum(n11,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_273])]) ).

fof(f271,plain,
    n0 = sum(n11,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1621,plain,
    spl122_272,
    inference(avatar_split_clause,[],[f269,f1619]) ).

fof(f1619,plain,
    ( spl122_272
  <=> n0 = sum(n5,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_272])]) ).

fof(f269,plain,
    n0 = sum(n5,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1617,plain,
    spl122_271,
    inference(avatar_split_clause,[],[f268,f1615]) ).

fof(f1615,plain,
    ( spl122_271
  <=> n5 = sum(n7,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_271])]) ).

fof(f268,plain,
    n5 = sum(n7,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1613,plain,
    spl122_270,
    inference(avatar_split_clause,[],[f266,f1611]) ).

fof(f1611,plain,
    ( spl122_270
  <=> n10 = sum(n15,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_270])]) ).

fof(f266,plain,
    n10 = sum(n15,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1609,plain,
    spl122_269,
    inference(avatar_split_clause,[],[f265,f1607]) ).

fof(f1607,plain,
    ( spl122_269
  <=> n2 = sum(n3,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_269])]) ).

fof(f265,plain,
    n2 = sum(n3,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1605,plain,
    spl122_268,
    inference(avatar_split_clause,[],[f263,f1603]) ).

fof(f1603,plain,
    ( spl122_268
  <=> n1 = sum(n3,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_268])]) ).

fof(f263,plain,
    n1 = sum(n3,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1601,plain,
    spl122_267,
    inference(avatar_split_clause,[],[f260,f1599]) ).

fof(f1599,plain,
    ( spl122_267
  <=> n3 = sum(n6,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_267])]) ).

fof(f260,plain,
    n3 = sum(n6,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1597,plain,
    spl122_266,
    inference(avatar_split_clause,[],[f259,f1595]) ).

fof(f1595,plain,
    ( spl122_266
  <=> n11 = sum(n10,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_266])]) ).

fof(f259,plain,
    n11 = sum(n10,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1593,plain,
    spl122_265,
    inference(avatar_split_clause,[],[f257,f1591]) ).

fof(f1591,plain,
    ( spl122_265
  <=> n11 = sum(n0,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_265])]) ).

fof(f257,plain,
    n11 = sum(n0,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1589,plain,
    spl122_264,
    inference(avatar_split_clause,[],[f246,f1587]) ).

fof(f1587,plain,
    ( spl122_264
  <=> n8 = sum(n9,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_264])]) ).

fof(f246,plain,
    n8 = sum(n9,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1585,plain,
    spl122_263,
    inference(avatar_split_clause,[],[f244,f1583]) ).

fof(f1583,plain,
    ( spl122_263
  <=> n4 = sum(n4,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_263])]) ).

fof(f244,plain,
    n4 = sum(n4,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1581,plain,
    spl122_262,
    inference(avatar_split_clause,[],[f242,f1579]) ).

fof(f1579,plain,
    ( spl122_262
  <=> n7 = sum(n6,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_262])]) ).

fof(f242,plain,
    n7 = sum(n6,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1577,plain,
    spl122_261,
    inference(avatar_split_clause,[],[f241,f1575]) ).

fof(f1575,plain,
    ( spl122_261
  <=> n3 = sum(n10,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_261])]) ).

fof(f241,plain,
    n3 = sum(n10,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1573,plain,
    spl122_260,
    inference(avatar_split_clause,[],[f240,f1571]) ).

fof(f1571,plain,
    ( spl122_260
  <=> n2 = sum(n12,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_260])]) ).

fof(f240,plain,
    n2 = sum(n12,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1569,plain,
    spl122_259,
    inference(avatar_split_clause,[],[f237,f1567]) ).

fof(f1567,plain,
    ( spl122_259
  <=> n5 = sum(n15,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_259])]) ).

fof(f237,plain,
    n5 = sum(n15,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1565,plain,
    spl122_258,
    inference(avatar_split_clause,[],[f235,f1563]) ).

fof(f235,plain,
    n12 = sum(n5,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1561,plain,
    spl122_257,
    inference(avatar_split_clause,[],[f234,f1559]) ).

fof(f1559,plain,
    ( spl122_257
  <=> n8 = sum(n13,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_257])]) ).

fof(f234,plain,
    n8 = sum(n13,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1557,plain,
    spl122_256,
    inference(avatar_split_clause,[],[f232,f1555]) ).

fof(f1555,plain,
    ( spl122_256
  <=> n14 = sum(n7,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_256])]) ).

fof(f232,plain,
    n14 = sum(n7,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1553,plain,
    spl122_255,
    inference(avatar_split_clause,[],[f229,f1551]) ).

fof(f1551,plain,
    ( spl122_255
  <=> n10 = sum(n7,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_255])]) ).

fof(f229,plain,
    n10 = sum(n7,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1549,plain,
    spl122_254,
    inference(avatar_split_clause,[],[f228,f1547]) ).

fof(f1547,plain,
    ( spl122_254
  <=> n3 = sum(n1,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_254])]) ).

fof(f228,plain,
    n3 = sum(n1,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1545,plain,
    spl122_253,
    inference(avatar_split_clause,[],[f227,f1543]) ).

fof(f1543,plain,
    ( spl122_253
  <=> n8 = sum(n2,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_253])]) ).

fof(f227,plain,
    n8 = sum(n2,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1541,plain,
    spl122_252,
    inference(avatar_split_clause,[],[f223,f1539]) ).

fof(f1539,plain,
    ( spl122_252
  <=> n13 = sum(n2,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_252])]) ).

fof(f223,plain,
    n13 = sum(n2,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1537,plain,
    spl122_251,
    inference(avatar_split_clause,[],[f222,f1535]) ).

fof(f1535,plain,
    ( spl122_251
  <=> n15 = sum(n7,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_251])]) ).

fof(f222,plain,
    n15 = sum(n7,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1533,plain,
    spl122_250,
    inference(avatar_split_clause,[],[f221,f1531]) ).

fof(f1531,plain,
    ( spl122_250
  <=> n4 = sum(n8,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_250])]) ).

fof(f221,plain,
    n4 = sum(n8,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1529,plain,
    spl122_249,
    inference(avatar_split_clause,[],[f220,f1527]) ).

fof(f1527,plain,
    ( spl122_249
  <=> n3 = sum(n5,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_249])]) ).

fof(f220,plain,
    n3 = sum(n5,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1525,plain,
    spl122_248,
    inference(avatar_split_clause,[],[f219,f1523]) ).

fof(f1523,plain,
    ( spl122_248
  <=> n4 = sum(n12,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_248])]) ).

fof(f219,plain,
    n4 = sum(n12,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1521,plain,
    spl122_247,
    inference(avatar_split_clause,[],[f218,f1519]) ).

fof(f1519,plain,
    ( spl122_247
  <=> n6 = sum(n10,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_247])]) ).

fof(f218,plain,
    n6 = sum(n10,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1517,plain,
    spl122_246,
    inference(avatar_split_clause,[],[f212,f1515]) ).

fof(f1515,plain,
    ( spl122_246
  <=> n14 = sum(n11,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_246])]) ).

fof(f212,plain,
    n14 = sum(n11,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1513,plain,
    spl122_245,
    inference(avatar_split_clause,[],[f211,f1511]) ).

fof(f1511,plain,
    ( spl122_245
  <=> n12 = sum(n1,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_245])]) ).

fof(f211,plain,
    n12 = sum(n1,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1509,plain,
    spl122_244,
    inference(avatar_split_clause,[],[f208,f1507]) ).

fof(f1507,plain,
    ( spl122_244
  <=> n10 = sum(n5,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_244])]) ).

fof(f208,plain,
    n10 = sum(n5,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1505,plain,
    spl122_243,
    inference(avatar_split_clause,[],[f206,f1503]) ).

fof(f1503,plain,
    ( spl122_243
  <=> n7 = sum(n9,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_243])]) ).

fof(f206,plain,
    n7 = sum(n9,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1501,plain,
    spl122_242,
    inference(avatar_split_clause,[],[f205,f1499]) ).

fof(f1499,plain,
    ( spl122_242
  <=> n13 = sum(n13,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_242])]) ).

fof(f205,plain,
    n13 = sum(n13,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1497,plain,
    spl122_241,
    inference(avatar_split_clause,[],[f199,f1495]) ).

fof(f1495,plain,
    ( spl122_241
  <=> n5 = sum(n13,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_241])]) ).

fof(f199,plain,
    n5 = sum(n13,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1493,plain,
    spl122_240,
    inference(avatar_split_clause,[],[f197,f1491]) ).

fof(f1491,plain,
    ( spl122_240
  <=> n15 = sum(n1,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_240])]) ).

fof(f197,plain,
    n15 = sum(n1,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1489,plain,
    spl122_239,
    inference(avatar_split_clause,[],[f195,f1487]) ).

fof(f1487,plain,
    ( spl122_239
  <=> n13 = sum(n4,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_239])]) ).

fof(f195,plain,
    n13 = sum(n4,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1485,plain,
    spl122_238,
    inference(avatar_split_clause,[],[f194,f1483]) ).

fof(f1483,plain,
    ( spl122_238
  <=> n14 = sum(n0,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_238])]) ).

fof(f194,plain,
    n14 = sum(n0,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1481,plain,
    spl122_237,
    inference(avatar_split_clause,[],[f189,f1479]) ).

fof(f189,plain,
    n3 = sum(n7,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1477,plain,
    spl122_236,
    inference(avatar_split_clause,[],[f187,f1475]) ).

fof(f1475,plain,
    ( spl122_236
  <=> n7 = sum(n7,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_236])]) ).

fof(f187,plain,
    n7 = sum(n7,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1473,plain,
    spl122_235,
    inference(avatar_split_clause,[],[f185,f1471]) ).

fof(f1471,plain,
    ( spl122_235
  <=> n12 = sum(n2,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_235])]) ).

fof(f185,plain,
    n12 = sum(n2,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1469,plain,
    spl122_234,
    inference(avatar_split_clause,[],[f183,f1467]) ).

fof(f1467,plain,
    ( spl122_234
  <=> n7 = sum(n14,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_234])]) ).

fof(f183,plain,
    n7 = sum(n14,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1465,plain,
    spl122_233,
    inference(avatar_split_clause,[],[f178,f1463]) ).

fof(f1463,plain,
    ( spl122_233
  <=> n12 = sum(n7,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_233])]) ).

fof(f178,plain,
    n12 = sum(n7,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1461,plain,
    spl122_232,
    inference(avatar_split_clause,[],[f177,f1459]) ).

fof(f1459,plain,
    ( spl122_232
  <=> n2 = sum(n14,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_232])]) ).

fof(f177,plain,
    n2 = sum(n14,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1457,plain,
    spl122_231,
    inference(avatar_split_clause,[],[f176,f1455]) ).

fof(f1455,plain,
    ( spl122_231
  <=> n4 = sum(n2,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_231])]) ).

fof(f176,plain,
    n4 = sum(n2,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1453,plain,
    spl122_230,
    inference(avatar_split_clause,[],[f174,f1451]) ).

fof(f1451,plain,
    ( spl122_230
  <=> n0 = sum(n6,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_230])]) ).

fof(f174,plain,
    n0 = sum(n6,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1449,plain,
    spl122_229,
    inference(avatar_split_clause,[],[f171,f1447]) ).

fof(f1447,plain,
    ( spl122_229
  <=> n4 = sum(n15,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_229])]) ).

fof(f171,plain,
    n4 = sum(n15,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1445,plain,
    spl122_228,
    inference(avatar_split_clause,[],[f169,f1443]) ).

fof(f1443,plain,
    ( spl122_228
  <=> n5 = sum(n14,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_228])]) ).

fof(f169,plain,
    n5 = sum(n14,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1441,plain,
    spl122_227,
    inference(avatar_split_clause,[],[f168,f1439]) ).

fof(f1439,plain,
    ( spl122_227
  <=> n2 = sum(n1,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_227])]) ).

fof(f168,plain,
    n2 = sum(n1,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1437,plain,
    spl122_226,
    inference(avatar_split_clause,[],[f166,f1435]) ).

fof(f1435,plain,
    ( spl122_226
  <=> n2 = sum(n10,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_226])]) ).

fof(f166,plain,
    n2 = sum(n10,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1433,plain,
    spl122_225,
    inference(avatar_split_clause,[],[f160,f1431]) ).

fof(f1431,plain,
    ( spl122_225
  <=> n3 = sum(n9,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_225])]) ).

fof(f160,plain,
    n3 = sum(n9,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1429,plain,
    spl122_224,
    inference(avatar_split_clause,[],[f159,f1427]) ).

fof(f1427,plain,
    ( spl122_224
  <=> n10 = sum(n10,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_224])]) ).

fof(f159,plain,
    n10 = sum(n10,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1425,plain,
    spl122_223,
    inference(avatar_split_clause,[],[f158,f1423]) ).

fof(f158,plain,
    n1 = sum(n1,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1421,plain,
    spl122_222,
    inference(avatar_split_clause,[],[f157,f1419]) ).

fof(f1419,plain,
    ( spl122_222
  <=> n9 = sum(n5,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_222])]) ).

fof(f157,plain,
    n9 = sum(n5,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1417,plain,
    spl122_221,
    inference(avatar_split_clause,[],[f156,f1415]) ).

fof(f1415,plain,
    ( spl122_221
  <=> n1 = sum(n14,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_221])]) ).

fof(f156,plain,
    n1 = sum(n14,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1413,plain,
    spl122_220,
    inference(avatar_split_clause,[],[f155,f1411]) ).

fof(f1411,plain,
    ( spl122_220
  <=> n8 = sum(n8,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_220])]) ).

fof(f155,plain,
    n8 = sum(n8,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1409,plain,
    spl122_219,
    inference(avatar_split_clause,[],[f152,f1407]) ).

fof(f1407,plain,
    ( spl122_219
  <=> n10 = sum(n3,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_219])]) ).

fof(f152,plain,
    n10 = sum(n3,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1405,plain,
    spl122_218,
    inference(avatar_split_clause,[],[f151,f1403]) ).

fof(f1403,plain,
    ( spl122_218
  <=> n0 = sum(n14,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_218])]) ).

fof(f151,plain,
    n0 = sum(n14,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1401,plain,
    spl122_217,
    inference(avatar_split_clause,[],[f150,f1399]) ).

fof(f1399,plain,
    ( spl122_217
  <=> n9 = sum(n2,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_217])]) ).

fof(f150,plain,
    n9 = sum(n2,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1397,plain,
    spl122_216,
    inference(avatar_split_clause,[],[f149,f1395]) ).

fof(f1395,plain,
    ( spl122_216
  <=> n10 = sum(n13,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_216])]) ).

fof(f149,plain,
    n10 = sum(n13,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1393,plain,
    spl122_215,
    inference(avatar_split_clause,[],[f147,f1391]) ).

fof(f1391,plain,
    ( spl122_215
  <=> n8 = sum(n3,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_215])]) ).

fof(f147,plain,
    n8 = sum(n3,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1389,plain,
    spl122_214,
    inference(avatar_split_clause,[],[f146,f1387]) ).

fof(f1387,plain,
    ( spl122_214
  <=> n11 = sum(n13,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_214])]) ).

fof(f146,plain,
    n11 = sum(n13,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1385,plain,
    spl122_213,
    inference(avatar_split_clause,[],[f142,f1383]) ).

fof(f1383,plain,
    ( spl122_213
  <=> n9 = sum(n1,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_213])]) ).

fof(f142,plain,
    n9 = sum(n1,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1381,plain,
    spl122_212,
    inference(avatar_split_clause,[],[f139,f1379]) ).

fof(f1379,plain,
    ( spl122_212
  <=> n8 = sum(n7,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_212])]) ).

fof(f139,plain,
    n8 = sum(n7,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1377,plain,
    spl122_211,
    inference(avatar_split_clause,[],[f138,f1375]) ).

fof(f1375,plain,
    ( spl122_211
  <=> n9 = sum(n7,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_211])]) ).

fof(f138,plain,
    n9 = sum(n7,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1373,plain,
    spl122_210,
    inference(avatar_split_clause,[],[f135,f1371]) ).

fof(f1371,plain,
    ( spl122_210
  <=> n1 = sum(n12,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_210])]) ).

fof(f135,plain,
    n1 = sum(n12,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1369,plain,
    spl122_209,
    inference(avatar_split_clause,[],[f130,f1367]) ).

fof(f1367,plain,
    ( spl122_209
  <=> n6 = sum(n3,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_209])]) ).

fof(f130,plain,
    n6 = sum(n3,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1365,plain,
    spl122_208,
    inference(avatar_split_clause,[],[f129,f1363]) ).

fof(f1363,plain,
    ( spl122_208
  <=> n0 = sum(n9,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_208])]) ).

fof(f129,plain,
    n0 = sum(n9,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1361,plain,
    spl122_207,
    inference(avatar_split_clause,[],[f125,f1359]) ).

fof(f1359,plain,
    ( spl122_207
  <=> n2 = sum(n5,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_207])]) ).

fof(f125,plain,
    n2 = sum(n5,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1357,plain,
    spl122_206,
    inference(avatar_split_clause,[],[f121,f1355]) ).

fof(f1355,plain,
    ( spl122_206
  <=> n11 = sum(n3,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_206])]) ).

fof(f121,plain,
    n11 = sum(n3,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1353,plain,
    spl122_205,
    inference(avatar_split_clause,[],[f118,f1351]) ).

fof(f1351,plain,
    ( spl122_205
  <=> n0 = sum(n4,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_205])]) ).

fof(f118,plain,
    n0 = sum(n4,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1349,plain,
    spl122_204,
    inference(avatar_split_clause,[],[f116,f1347]) ).

fof(f1347,plain,
    ( spl122_204
  <=> n9 = sum(n4,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_204])]) ).

fof(f116,plain,
    n9 = sum(n4,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1345,plain,
    spl122_203,
    inference(avatar_split_clause,[],[f115,f1343]) ).

fof(f1343,plain,
    ( spl122_203
  <=> n10 = sum(n8,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_203])]) ).

fof(f115,plain,
    n10 = sum(n8,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1341,plain,
    spl122_202,
    inference(avatar_split_clause,[],[f113,f1339]) ).

fof(f1339,plain,
    ( spl122_202
  <=> n12 = sum(n10,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_202])]) ).

fof(f113,plain,
    n12 = sum(n10,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1337,plain,
    spl122_201,
    inference(avatar_split_clause,[],[f106,f1335]) ).

fof(f1335,plain,
    ( spl122_201
  <=> n14 = sum(n4,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_201])]) ).

fof(f106,plain,
    n14 = sum(n4,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1333,plain,
    spl122_200,
    inference(avatar_split_clause,[],[f105,f1331]) ).

fof(f1331,plain,
    ( spl122_200
  <=> n8 = sum(n1,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_200])]) ).

fof(f105,plain,
    n8 = sum(n1,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1329,plain,
    spl122_199,
    inference(avatar_split_clause,[],[f104,f1327]) ).

fof(f1327,plain,
    ( spl122_199
  <=> n0 = sum(n3,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_199])]) ).

fof(f104,plain,
    n0 = sum(n3,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1325,plain,
    spl122_198,
    inference(avatar_split_clause,[],[f102,f1323]) ).

fof(f102,plain,
    n6 = sum(n2,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1321,plain,
    spl122_197,
    inference(avatar_split_clause,[],[f100,f1319]) ).

fof(f1319,plain,
    ( spl122_197
  <=> n0 = sum(n13,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_197])]) ).

fof(f100,plain,
    n0 = sum(n13,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1317,plain,
    spl122_196,
    inference(avatar_split_clause,[],[f99,f1315]) ).

fof(f1315,plain,
    ( spl122_196
  <=> n7 = sum(n10,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_196])]) ).

fof(f99,plain,
    n7 = sum(n10,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1313,plain,
    spl122_195,
    inference(avatar_split_clause,[],[f98,f1311]) ).

fof(f1311,plain,
    ( spl122_195
  <=> n9 = sum(n12,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_195])]) ).

fof(f98,plain,
    n9 = sum(n12,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1309,plain,
    spl122_194,
    inference(avatar_split_clause,[],[f96,f1307]) ).

fof(f1307,plain,
    ( spl122_194
  <=> n0 = sum(n10,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_194])]) ).

fof(f96,plain,
    n0 = sum(n10,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1305,plain,
    spl122_193,
    inference(avatar_split_clause,[],[f95,f1303]) ).

fof(f1303,plain,
    ( spl122_193
  <=> n7 = sum(n11,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_193])]) ).

fof(f95,plain,
    n7 = sum(n11,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1301,plain,
    spl122_192,
    inference(avatar_split_clause,[],[f91,f1299]) ).

fof(f1299,plain,
    ( spl122_192
  <=> n8 = sum(n10,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_192])]) ).

fof(f91,plain,
    n8 = sum(n10,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1297,plain,
    spl122_191,
    inference(avatar_split_clause,[],[f88,f1295]) ).

fof(f1295,plain,
    ( spl122_191
  <=> n10 = sum(n4,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_191])]) ).

fof(f88,plain,
    n10 = sum(n4,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1293,plain,
    spl122_190,
    inference(avatar_split_clause,[],[f87,f1291]) ).

fof(f1291,plain,
    ( spl122_190
  <=> n12 = sum(n6,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_190])]) ).

fof(f87,plain,
    n12 = sum(n6,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1289,plain,
    spl122_189,
    inference(avatar_split_clause,[],[f86,f1287]) ).

fof(f1287,plain,
    ( spl122_189
  <=> n13 = sum(n11,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_189])]) ).

fof(f86,plain,
    n13 = sum(n11,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1285,plain,
    spl122_188,
    inference(avatar_split_clause,[],[f85,f1283]) ).

fof(f1283,plain,
    ( spl122_188
  <=> n4 = sum(n0,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_188])]) ).

fof(f85,plain,
    n4 = sum(n0,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1281,plain,
    spl122_187,
    inference(avatar_split_clause,[],[f84,f1279]) ).

fof(f1279,plain,
    ( spl122_187
  <=> n9 = sum(n14,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_187])]) ).

fof(f84,plain,
    n9 = sum(n14,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1277,plain,
    spl122_186,
    inference(avatar_split_clause,[],[f83,f1275]) ).

fof(f1275,plain,
    ( spl122_186
  <=> n9 = sum(n13,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_186])]) ).

fof(f83,plain,
    n9 = sum(n13,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1273,plain,
    spl122_185,
    inference(avatar_split_clause,[],[f81,f1271]) ).

fof(f1271,plain,
    ( spl122_185
  <=> n14 = sum(n14,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_185])]) ).

fof(f81,plain,
    n14 = sum(n14,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1269,plain,
    spl122_184,
    inference(avatar_split_clause,[],[f80,f1267]) ).

fof(f1267,plain,
    ( spl122_184
  <=> n6 = sum(n15,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_184])]) ).

fof(f80,plain,
    n6 = sum(n15,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1265,plain,
    spl122_183,
    inference(avatar_split_clause,[],[f79,f1263]) ).

fof(f79,plain,
    n0 = sum(n15,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1261,plain,
    spl122_182,
    inference(avatar_split_clause,[],[f77,f1259]) ).

fof(f1259,plain,
    ( spl122_182
  <=> n11 = sum(n14,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_182])]) ).

fof(f77,plain,
    n11 = sum(n14,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1257,plain,
    spl122_181,
    inference(avatar_split_clause,[],[f72,f1255]) ).

fof(f1255,plain,
    ( spl122_181
  <=> n4 = sum(n1,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_181])]) ).

fof(f72,plain,
    n4 = sum(n1,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1253,plain,
    spl122_180,
    inference(avatar_split_clause,[],[f71,f1251]) ).

fof(f71,plain,
    n9 = sum(n9,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1249,plain,
    spl122_179,
    inference(avatar_split_clause,[],[f68,f1247]) ).

fof(f1247,plain,
    ( spl122_179
  <=> n3 = sum(n12,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_179])]) ).

fof(f68,plain,
    n3 = sum(n12,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1245,plain,
    spl122_178,
    inference(avatar_split_clause,[],[f65,f1243]) ).

fof(f1243,plain,
    ( spl122_178
  <=> n5 = sum(n11,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_178])]) ).

fof(f65,plain,
    n5 = sum(n11,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1241,plain,
    spl122_177,
    inference(avatar_split_clause,[],[f64,f1239]) ).

fof(f1239,plain,
    ( spl122_177
  <=> n11 = sum(n9,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_177])]) ).

fof(f64,plain,
    n11 = sum(n9,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1237,plain,
    spl122_176,
    inference(avatar_split_clause,[],[f63,f1235]) ).

fof(f1235,plain,
    ( spl122_176
  <=> n4 = sum(n7,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_176])]) ).

fof(f63,plain,
    n4 = sum(n7,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1233,plain,
    spl122_175,
    inference(avatar_split_clause,[],[f62,f1231]) ).

fof(f1231,plain,
    ( spl122_175
  <=> n8 = sum(n11,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_175])]) ).

fof(f62,plain,
    n8 = sum(n11,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1229,plain,
    spl122_174,
    inference(avatar_split_clause,[],[f56,f1227]) ).

fof(f1227,plain,
    ( spl122_174
  <=> n10 = sum(n2,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_174])]) ).

fof(f56,plain,
    n10 = sum(n2,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1225,plain,
    spl122_173,
    inference(avatar_split_clause,[],[f55,f1223]) ).

fof(f55,plain,
    n0 = sum(n7,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1221,plain,
    spl122_172,
    inference(avatar_split_clause,[],[f54,f1219]) ).

fof(f1219,plain,
    ( spl122_172
  <=> n4 = sum(n13,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_172])]) ).

fof(f54,plain,
    n4 = sum(n13,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1217,plain,
    spl122_171,
    inference(avatar_split_clause,[],[f51,f1215]) ).

fof(f1215,plain,
    ( spl122_171
  <=> n2 = sum(n13,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_171])]) ).

fof(f51,plain,
    n2 = sum(n13,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1213,plain,
    spl122_170,
    inference(avatar_split_clause,[],[f50,f1211]) ).

fof(f50,plain,
    n11 = sum(n7,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1209,plain,
    spl122_169,
    inference(avatar_split_clause,[],[f46,f1207]) ).

fof(f1207,plain,
    ( spl122_169
  <=> n7 = sum(n15,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_169])]) ).

fof(f46,plain,
    n7 = sum(n15,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1205,plain,
    spl122_168,
    inference(avatar_split_clause,[],[f44,f1203]) ).

fof(f1203,plain,
    ( spl122_168
  <=> n11 = sum(n11,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_168])]) ).

fof(f44,plain,
    n11 = sum(n11,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1201,plain,
    spl122_167,
    inference(avatar_split_clause,[],[f43,f1199]) ).

fof(f1199,plain,
    ( spl122_167
  <=> n6 = sum(n13,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_167])]) ).

fof(f43,plain,
    n6 = sum(n13,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1197,plain,
    spl122_166,
    inference(avatar_split_clause,[],[f40,f1195]) ).

fof(f1195,plain,
    ( spl122_166
  <=> n11 = sum(n12,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_166])]) ).

fof(f40,plain,
    n11 = sum(n12,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1193,plain,
    spl122_165,
    inference(avatar_split_clause,[],[f39,f1191]) ).

fof(f1191,plain,
    ( spl122_165
  <=> n12 = sum(n9,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_165])]) ).

fof(f39,plain,
    n12 = sum(n9,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1189,plain,
    spl122_164,
    inference(avatar_split_clause,[],[f37,f1187]) ).

fof(f1187,plain,
    ( spl122_164
  <=> n9 = sum(n0,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_164])]) ).

fof(f37,plain,
    n9 = sum(n0,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1185,plain,
    spl122_163,
    inference(avatar_split_clause,[],[f34,f1183]) ).

fof(f1183,plain,
    ( spl122_163
  <=> n1 = sum(n0,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_163])]) ).

fof(f34,plain,
    n1 = sum(n0,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1181,plain,
    spl122_162,
    inference(avatar_split_clause,[],[f33,f1179]) ).

fof(f1179,plain,
    ( spl122_162
  <=> n12 = sum(n4,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_162])]) ).

fof(f33,plain,
    n12 = sum(n4,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1177,plain,
    spl122_161,
    inference(avatar_split_clause,[],[f31,f1175]) ).

fof(f31,plain,
    n6 = sum(n7,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1173,plain,
    spl122_160,
    inference(avatar_split_clause,[],[f29,f1171]) ).

fof(f1171,plain,
    ( spl122_160
  <=> n15 = sum(n10,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_160])]) ).

fof(f29,plain,
    n15 = sum(n10,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1169,plain,
    spl122_159,
    inference(avatar_split_clause,[],[f17,f1167]) ).

fof(f1167,plain,
    ( spl122_159
  <=> n4 = sum(n14,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_159])]) ).

fof(f17,plain,
    n4 = sum(n14,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1165,plain,
    spl122_158,
    inference(avatar_split_clause,[],[f16,f1163]) ).

fof(f1163,plain,
    ( spl122_158
  <=> n1 = sum(n9,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_158])]) ).

fof(f16,plain,
    n1 = sum(n9,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1161,plain,
    spl122_157,
    inference(avatar_split_clause,[],[f15,f1159]) ).

fof(f1159,plain,
    ( spl122_157
  <=> n5 = sum(n5,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_157])]) ).

fof(f15,plain,
    n5 = sum(n5,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1157,plain,
    spl122_156,
    inference(avatar_split_clause,[],[f14,f1155]) ).

fof(f1155,plain,
    ( spl122_156
  <=> n6 = sum(n12,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_156])]) ).

fof(f14,plain,
    n6 = sum(n12,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1153,plain,
    spl122_155,
    inference(avatar_split_clause,[],[f12,f1151]) ).

fof(f1151,plain,
    ( spl122_155
  <=> n6 = sum(n1,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_155])]) ).

fof(f12,plain,
    n6 = sum(n1,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1149,plain,
    spl122_154,
    inference(avatar_split_clause,[],[f9,f1147]) ).

fof(f1147,plain,
    ( spl122_154
  <=> n1 = sum(n11,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_154])]) ).

fof(f9,plain,
    n1 = sum(n11,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1145,plain,
    spl122_153,
    inference(avatar_split_clause,[],[f7,f1143]) ).

fof(f1143,plain,
    ( spl122_153
  <=> n8 = sum(n15,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_153])]) ).

fof(f7,plain,
    n8 = sum(n15,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1141,plain,
    spl122_152,
    inference(avatar_split_clause,[],[f531,f1139]) ).

fof(f531,plain,
    succ(n1) = n2,
    inference(cnf_transformation,[],[f2]) ).

fof(f1137,plain,
    spl122_151,
    inference(avatar_split_clause,[],[f527,f1135]) ).

fof(f527,plain,
    succ(n5) = n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f1133,plain,
    spl122_150,
    inference(avatar_split_clause,[],[f510,f1131]) ).

fof(f510,plain,
    n15 = pred(n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1129,plain,
    spl122_149,
    inference(avatar_split_clause,[],[f484,f1127]) ).

fof(f484,plain,
    succ(n6) = n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f1125,plain,
    spl122_148,
    inference(avatar_split_clause,[],[f434,f1123]) ).

fof(f434,plain,
    succ(n8) = n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f1121,plain,
    spl122_147,
    inference(avatar_split_clause,[],[f423,f1119]) ).

fof(f423,plain,
    n11 = pred(n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1117,plain,
    spl122_146,
    inference(avatar_split_clause,[],[f420,f1115]) ).

fof(f420,plain,
    succ(n13) = n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f1113,plain,
    spl122_145,
    inference(avatar_split_clause,[],[f372,f1111]) ).

fof(f372,plain,
    succ(n10) = n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f1109,plain,
    spl122_144,
    inference(avatar_split_clause,[],[f360,f1107]) ).

fof(f360,plain,
    n3 = pred(n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1105,plain,
    spl122_143,
    inference(avatar_split_clause,[],[f332,f1103]) ).

fof(f332,plain,
    n8 = pred(n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1101,plain,
    spl122_142,
    inference(avatar_split_clause,[],[f321,f1099]) ).

fof(f321,plain,
    n5 = pred(n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1097,plain,
    spl122_141,
    inference(avatar_split_clause,[],[f302,f1095]) ).

fof(f302,plain,
    n1 = pred(n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1093,plain,
    spl122_140,
    inference(avatar_split_clause,[],[f292,f1091]) ).

fof(f292,plain,
    succ(n4) = n5,
    inference(cnf_transformation,[],[f2]) ).

fof(f1089,plain,
    spl122_139,
    inference(avatar_split_clause,[],[f258,f1087]) ).

fof(f258,plain,
    succ(n0) = n1,
    inference(cnf_transformation,[],[f2]) ).

fof(f1085,plain,
    spl122_138,
    inference(avatar_split_clause,[],[f256,f1083]) ).

fof(f256,plain,
    n13 = pred(n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1081,plain,
    spl122_137,
    inference(avatar_split_clause,[],[f255,f1079]) ).

fof(f255,plain,
    n7 = pred(n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1077,plain,
    spl122_136,
    inference(avatar_split_clause,[],[f251,f1075]) ).

fof(f251,plain,
    n10 = pred(n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1073,plain,
    spl122_135,
    inference(avatar_split_clause,[],[f250,f1071]) ).

fof(f250,plain,
    succ(n14) = n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f1069,plain,
    spl122_134,
    inference(avatar_split_clause,[],[f202,f1067]) ).

fof(f202,plain,
    n9 = pred(n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1065,plain,
    spl122_133,
    inference(avatar_split_clause,[],[f173,f1063]) ).

fof(f173,plain,
    n2 = pred(n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1061,plain,
    spl122_132,
    inference(avatar_split_clause,[],[f167,f1059]) ).

fof(f167,plain,
    succ(n7) = n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f1057,plain,
    spl122_131,
    inference(avatar_split_clause,[],[f165,f1055]) ).

fof(f165,plain,
    n12 = pred(n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1053,plain,
    spl122_130,
    inference(avatar_split_clause,[],[f164,f1051]) ).

fof(f164,plain,
    succ(n3) = n4,
    inference(cnf_transformation,[],[f2]) ).

fof(f1049,plain,
    spl122_129,
    inference(avatar_split_clause,[],[f140,f1047]) ).

fof(f140,plain,
    n6 = pred(n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1045,plain,
    spl122_128,
    inference(avatar_split_clause,[],[f137,f1043]) ).

fof(f137,plain,
    succ(n12) = n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f1041,plain,
    spl122_127,
    inference(avatar_split_clause,[],[f124,f1039]) ).

fof(f124,plain,
    succ(n9) = n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f1037,plain,
    spl122_126,
    inference(avatar_split_clause,[],[f97,f1035]) ).

fof(f97,plain,
    succ(n2) = n3,
    inference(cnf_transformation,[],[f2]) ).

fof(f1033,plain,
    spl122_125,
    inference(avatar_split_clause,[],[f74,f1031]) ).

fof(f74,plain,
    n0 = pred(n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1029,plain,
    spl122_124,
    inference(avatar_split_clause,[],[f73,f1027]) ).

fof(f73,plain,
    n4 = pred(n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1025,plain,
    spl122_123,
    inference(avatar_split_clause,[],[f70,f1023]) ).

fof(f70,plain,
    succ(n11) = n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f1021,plain,
    spl122_122,
    inference(avatar_split_clause,[],[f27,f1019]) ).

fof(f27,plain,
    n14 = pred(n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1017,plain,
    spl122_121,
    inference(avatar_split_clause,[],[f26,f1015]) ).

fof(f26,plain,
    n0 = succ(n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1013,plain,
    ~ spl122_120,
    inference(avatar_split_clause,[],[f532,f1011]) ).

fof(f1011,plain,
    ( spl122_120
  <=> n4 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_120])]) ).

fof(f532,plain,
    n4 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f1009,plain,
    ~ spl122_119,
    inference(avatar_split_clause,[],[f524,f1007]) ).

fof(f1007,plain,
    ( spl122_119
  <=> n2 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_119])]) ).

fof(f524,plain,
    n2 != n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f1005,plain,
    ~ spl122_118,
    inference(avatar_split_clause,[],[f521,f1003]) ).

fof(f1003,plain,
    ( spl122_118
  <=> n0 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_118])]) ).

fof(f521,plain,
    n0 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f1001,plain,
    ~ spl122_117,
    inference(avatar_split_clause,[],[f518,f999]) ).

fof(f999,plain,
    ( spl122_117
  <=> n3 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_117])]) ).

fof(f518,plain,
    n3 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f997,plain,
    ~ spl122_116,
    inference(avatar_split_clause,[],[f517,f995]) ).

fof(f995,plain,
    ( spl122_116
  <=> n0 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_116])]) ).

fof(f517,plain,
    n0 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f993,plain,
    ~ spl122_115,
    inference(avatar_split_clause,[],[f513,f991]) ).

fof(f991,plain,
    ( spl122_115
  <=> n1 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_115])]) ).

fof(f513,plain,
    n1 != n5,
    inference(cnf_transformation,[],[f2]) ).

fof(f989,plain,
    ~ spl122_114,
    inference(avatar_split_clause,[],[f512,f987]) ).

fof(f987,plain,
    ( spl122_114
  <=> n8 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_114])]) ).

fof(f512,plain,
    n8 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f985,plain,
    ~ spl122_113,
    inference(avatar_split_clause,[],[f509,f983]) ).

fof(f983,plain,
    ( spl122_113
  <=> n2 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_113])]) ).

fof(f509,plain,
    n2 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f981,plain,
    ~ spl122_112,
    inference(avatar_split_clause,[],[f504,f979]) ).

fof(f979,plain,
    ( spl122_112
  <=> n0 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_112])]) ).

fof(f504,plain,
    n0 != n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f977,plain,
    ~ spl122_111,
    inference(avatar_split_clause,[],[f498,f975]) ).

fof(f975,plain,
    ( spl122_111
  <=> n1 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_111])]) ).

fof(f498,plain,
    n1 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f973,plain,
    ~ spl122_110,
    inference(avatar_split_clause,[],[f492,f971]) ).

fof(f971,plain,
    ( spl122_110
  <=> n6 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_110])]) ).

fof(f492,plain,
    n6 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f969,plain,
    ~ spl122_109,
    inference(avatar_split_clause,[],[f488,f967]) ).

fof(f967,plain,
    ( spl122_109
  <=> n0 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_109])]) ).

fof(f488,plain,
    n0 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f965,plain,
    ~ spl122_108,
    inference(avatar_split_clause,[],[f487,f963]) ).

fof(f963,plain,
    ( spl122_108
  <=> n2 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_108])]) ).

fof(f487,plain,
    n2 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f961,plain,
    ~ spl122_107,
    inference(avatar_split_clause,[],[f483,f959]) ).

fof(f959,plain,
    ( spl122_107
  <=> n9 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_107])]) ).

fof(f483,plain,
    n9 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f957,plain,
    ~ spl122_106,
    inference(avatar_split_clause,[],[f481,f955]) ).

fof(f955,plain,
    ( spl122_106
  <=> n7 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_106])]) ).

fof(f481,plain,
    n7 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f953,plain,
    ~ spl122_105,
    inference(avatar_split_clause,[],[f477,f951]) ).

fof(f951,plain,
    ( spl122_105
  <=> n1 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_105])]) ).

fof(f477,plain,
    n1 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f949,plain,
    ~ spl122_104,
    inference(avatar_split_clause,[],[f474,f947]) ).

fof(f947,plain,
    ( spl122_104
  <=> n3 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_104])]) ).

fof(f474,plain,
    n3 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f945,plain,
    ~ spl122_103,
    inference(avatar_split_clause,[],[f467,f943]) ).

fof(f943,plain,
    ( spl122_103
  <=> n5 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_103])]) ).

fof(f467,plain,
    n5 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f941,plain,
    ~ spl122_102,
    inference(avatar_split_clause,[],[f464,f939]) ).

fof(f939,plain,
    ( spl122_102
  <=> n2 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_102])]) ).

fof(f464,plain,
    n2 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f937,plain,
    ~ spl122_101,
    inference(avatar_split_clause,[],[f462,f935]) ).

fof(f935,plain,
    ( spl122_101
  <=> n6 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_101])]) ).

fof(f462,plain,
    n6 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f933,plain,
    ~ spl122_100,
    inference(avatar_split_clause,[],[f460,f931]) ).

fof(f931,plain,
    ( spl122_100
  <=> n3 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_100])]) ).

fof(f460,plain,
    n3 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f929,plain,
    ~ spl122_99,
    inference(avatar_split_clause,[],[f451,f927]) ).

fof(f927,plain,
    ( spl122_99
  <=> n5 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_99])]) ).

fof(f451,plain,
    n5 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f925,plain,
    ~ spl122_98,
    inference(avatar_split_clause,[],[f450,f923]) ).

fof(f923,plain,
    ( spl122_98
  <=> n14 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_98])]) ).

fof(f450,plain,
    n14 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f921,plain,
    ~ spl122_97,
    inference(avatar_split_clause,[],[f447,f919]) ).

fof(f919,plain,
    ( spl122_97
  <=> n4 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_97])]) ).

fof(f447,plain,
    n4 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f917,plain,
    ~ spl122_96,
    inference(avatar_split_clause,[],[f445,f915]) ).

fof(f915,plain,
    ( spl122_96
  <=> n5 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_96])]) ).

fof(f445,plain,
    n5 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f913,plain,
    ~ spl122_95,
    inference(avatar_split_clause,[],[f444,f911]) ).

fof(f911,plain,
    ( spl122_95
  <=> n0 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_95])]) ).

fof(f444,plain,
    n0 != n3,
    inference(cnf_transformation,[],[f2]) ).

fof(f909,plain,
    ~ spl122_94,
    inference(avatar_split_clause,[],[f443,f907]) ).

fof(f907,plain,
    ( spl122_94
  <=> n1 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_94])]) ).

fof(f443,plain,
    n1 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f905,plain,
    ~ spl122_93,
    inference(avatar_split_clause,[],[f432,f903]) ).

fof(f903,plain,
    ( spl122_93
  <=> n3 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_93])]) ).

fof(f432,plain,
    n3 != n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f901,plain,
    ~ spl122_92,
    inference(avatar_split_clause,[],[f428,f899]) ).

fof(f899,plain,
    ( spl122_92
  <=> n11 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_92])]) ).

fof(f428,plain,
    n11 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f897,plain,
    ~ spl122_91,
    inference(avatar_split_clause,[],[f427,f895]) ).

fof(f895,plain,
    ( spl122_91
  <=> n12 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_91])]) ).

fof(f427,plain,
    n12 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f893,plain,
    ~ spl122_90,
    inference(avatar_split_clause,[],[f426,f891]) ).

fof(f891,plain,
    ( spl122_90
  <=> n7 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_90])]) ).

fof(f426,plain,
    n7 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f889,plain,
    ~ spl122_89,
    inference(avatar_split_clause,[],[f424,f887]) ).

fof(f887,plain,
    ( spl122_89
  <=> n7 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_89])]) ).

fof(f424,plain,
    n7 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f885,plain,
    ~ spl122_88,
    inference(avatar_split_clause,[],[f414,f883]) ).

fof(f883,plain,
    ( spl122_88
  <=> n5 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_88])]) ).

fof(f414,plain,
    n5 != n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f881,plain,
    ~ spl122_87,
    inference(avatar_split_clause,[],[f413,f879]) ).

fof(f879,plain,
    ( spl122_87
  <=> n8 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_87])]) ).

fof(f413,plain,
    n8 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f877,plain,
    ~ spl122_86,
    inference(avatar_split_clause,[],[f409,f875]) ).

fof(f875,plain,
    ( spl122_86
  <=> n3 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_86])]) ).

fof(f409,plain,
    n3 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f873,plain,
    ~ spl122_85,
    inference(avatar_split_clause,[],[f392,f871]) ).

fof(f871,plain,
    ( spl122_85
  <=> n4 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_85])]) ).

fof(f392,plain,
    n4 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f869,plain,
    ~ spl122_84,
    inference(avatar_split_clause,[],[f383,f867]) ).

fof(f867,plain,
    ( spl122_84
  <=> n13 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_84])]) ).

fof(f383,plain,
    n13 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f865,plain,
    ~ spl122_83,
    inference(avatar_split_clause,[],[f378,f863]) ).

fof(f863,plain,
    ( spl122_83
  <=> n6 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_83])]) ).

fof(f378,plain,
    n6 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f861,plain,
    ~ spl122_82,
    inference(avatar_split_clause,[],[f377,f859]) ).

fof(f859,plain,
    ( spl122_82
  <=> n1 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_82])]) ).

fof(f377,plain,
    n1 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f857,plain,
    ~ spl122_81,
    inference(avatar_split_clause,[],[f375,f855]) ).

fof(f855,plain,
    ( spl122_81
  <=> n7 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_81])]) ).

fof(f375,plain,
    n7 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f853,plain,
    ~ spl122_80,
    inference(avatar_split_clause,[],[f371,f851]) ).

fof(f851,plain,
    ( spl122_80
  <=> n3 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_80])]) ).

fof(f371,plain,
    n3 != n4,
    inference(cnf_transformation,[],[f2]) ).

fof(f849,plain,
    ~ spl122_79,
    inference(avatar_split_clause,[],[f365,f847]) ).

fof(f847,plain,
    ( spl122_79
  <=> n9 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_79])]) ).

fof(f365,plain,
    n9 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f845,plain,
    ~ spl122_78,
    inference(avatar_split_clause,[],[f363,f843]) ).

fof(f843,plain,
    ( spl122_78
  <=> n2 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_78])]) ).

fof(f363,plain,
    n2 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f841,plain,
    ~ spl122_77,
    inference(avatar_split_clause,[],[f359,f839]) ).

fof(f839,plain,
    ( spl122_77
  <=> n12 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_77])]) ).

fof(f359,plain,
    n12 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f837,plain,
    ~ spl122_76,
    inference(avatar_split_clause,[],[f356,f835]) ).

fof(f835,plain,
    ( spl122_76
  <=> n4 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_76])]) ).

fof(f356,plain,
    n4 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f833,plain,
    ~ spl122_75,
    inference(avatar_split_clause,[],[f352,f831]) ).

fof(f831,plain,
    ( spl122_75
  <=> n0 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_75])]) ).

fof(f352,plain,
    n0 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f829,plain,
    ~ spl122_74,
    inference(avatar_split_clause,[],[f343,f827]) ).

fof(f827,plain,
    ( spl122_74
  <=> n9 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_74])]) ).

fof(f343,plain,
    n9 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f825,plain,
    ~ spl122_73,
    inference(avatar_split_clause,[],[f342,f823]) ).

fof(f823,plain,
    ( spl122_73
  <=> n2 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_73])]) ).

fof(f342,plain,
    n2 != n3,
    inference(cnf_transformation,[],[f2]) ).

fof(f821,plain,
    ~ spl122_72,
    inference(avatar_split_clause,[],[f340,f819]) ).

fof(f819,plain,
    ( spl122_72
  <=> n2 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_72])]) ).

fof(f340,plain,
    n2 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f817,plain,
    ~ spl122_71,
    inference(avatar_split_clause,[],[f337,f815]) ).

fof(f815,plain,
    ( spl122_71
  <=> n1 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_71])]) ).

fof(f337,plain,
    n1 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f813,plain,
    ~ spl122_70,
    inference(avatar_split_clause,[],[f333,f811]) ).

fof(f811,plain,
    ( spl122_70
  <=> n1 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_70])]) ).

fof(f333,plain,
    n1 != n4,
    inference(cnf_transformation,[],[f2]) ).

fof(f809,plain,
    ~ spl122_69,
    inference(avatar_split_clause,[],[f327,f807]) ).

fof(f807,plain,
    ( spl122_69
  <=> n3 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_69])]) ).

fof(f327,plain,
    n3 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f805,plain,
    ~ spl122_68,
    inference(avatar_split_clause,[],[f320,f803]) ).

fof(f803,plain,
    ( spl122_68
  <=> n0 = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_68])]) ).

fof(f320,plain,
    n0 != n2,
    inference(cnf_transformation,[],[f2]) ).

fof(f801,plain,
    ~ spl122_67,
    inference(avatar_split_clause,[],[f319,f799]) ).

fof(f799,plain,
    ( spl122_67
  <=> n11 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_67])]) ).

fof(f319,plain,
    n11 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f797,plain,
    ~ spl122_66,
    inference(avatar_split_clause,[],[f315,f795]) ).

fof(f795,plain,
    ( spl122_66
  <=> n9 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_66])]) ).

fof(f315,plain,
    n9 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f793,plain,
    ~ spl122_65,
    inference(avatar_split_clause,[],[f307,f791]) ).

fof(f791,plain,
    ( spl122_65
  <=> n5 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_65])]) ).

fof(f307,plain,
    n5 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f789,plain,
    ~ spl122_64,
    inference(avatar_split_clause,[],[f295,f787]) ).

fof(f787,plain,
    ( spl122_64
  <=> n7 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_64])]) ).

fof(f295,plain,
    n7 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f785,plain,
    ~ spl122_63,
    inference(avatar_split_clause,[],[f293,f783]) ).

fof(f783,plain,
    ( spl122_63
  <=> n7 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_63])]) ).

fof(f293,plain,
    n7 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f781,plain,
    ~ spl122_62,
    inference(avatar_split_clause,[],[f291,f779]) ).

fof(f779,plain,
    ( spl122_62
  <=> n0 = n1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_62])]) ).

fof(f291,plain,
    n0 != n1,
    inference(cnf_transformation,[],[f2]) ).

fof(f777,plain,
    ~ spl122_61,
    inference(avatar_split_clause,[],[f289,f775]) ).

fof(f775,plain,
    ( spl122_61
  <=> n4 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_61])]) ).

fof(f289,plain,
    n4 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f773,plain,
    ~ spl122_60,
    inference(avatar_split_clause,[],[f288,f771]) ).

fof(f771,plain,
    ( spl122_60
  <=> n1 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_60])]) ).

fof(f288,plain,
    n1 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f769,plain,
    ~ spl122_59,
    inference(avatar_split_clause,[],[f282,f767]) ).

fof(f767,plain,
    ( spl122_59
  <=> n5 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_59])]) ).

fof(f282,plain,
    n5 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f765,plain,
    ~ spl122_58,
    inference(avatar_split_clause,[],[f278,f763]) ).

fof(f763,plain,
    ( spl122_58
  <=> n2 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_58])]) ).

fof(f278,plain,
    n2 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f761,plain,
    ~ spl122_57,
    inference(avatar_split_clause,[],[f277,f759]) ).

fof(f759,plain,
    ( spl122_57
  <=> n13 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_57])]) ).

fof(f277,plain,
    n13 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f757,plain,
    ~ spl122_56,
    inference(avatar_split_clause,[],[f267,f755]) ).

fof(f755,plain,
    ( spl122_56
  <=> n0 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_56])]) ).

fof(f267,plain,
    n0 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f753,plain,
    ~ spl122_55,
    inference(avatar_split_clause,[],[f261,f751]) ).

fof(f751,plain,
    ( spl122_55
  <=> n2 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_55])]) ).

fof(f261,plain,
    n2 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f749,plain,
    ~ spl122_54,
    inference(avatar_split_clause,[],[f253,f747]) ).

fof(f747,plain,
    ( spl122_54
  <=> n8 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_54])]) ).

fof(f253,plain,
    n8 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f745,plain,
    ~ spl122_53,
    inference(avatar_split_clause,[],[f248,f743]) ).

fof(f743,plain,
    ( spl122_53
  <=> n1 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_53])]) ).

fof(f248,plain,
    n1 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f741,plain,
    ~ spl122_52,
    inference(avatar_split_clause,[],[f243,f739]) ).

fof(f739,plain,
    ( spl122_52
  <=> n10 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_52])]) ).

fof(f243,plain,
    n10 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f737,plain,
    ~ spl122_51,
    inference(avatar_split_clause,[],[f239,f735]) ).

fof(f735,plain,
    ( spl122_51
  <=> n5 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_51])]) ).

fof(f239,plain,
    n5 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f733,plain,
    ~ spl122_50,
    inference(avatar_split_clause,[],[f236,f731]) ).

fof(f731,plain,
    ( spl122_50
  <=> n6 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_50])]) ).

fof(f236,plain,
    n6 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f729,plain,
    ~ spl122_49,
    inference(avatar_split_clause,[],[f233,f727]) ).

fof(f727,plain,
    ( spl122_49
  <=> n11 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_49])]) ).

fof(f233,plain,
    n11 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f725,plain,
    ~ spl122_48,
    inference(avatar_split_clause,[],[f230,f723]) ).

fof(f723,plain,
    ( spl122_48
  <=> n6 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_48])]) ).

fof(f230,plain,
    n6 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f721,plain,
    ~ spl122_47,
    inference(avatar_split_clause,[],[f226,f719]) ).

fof(f719,plain,
    ( spl122_47
  <=> n4 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_47])]) ).

fof(f226,plain,
    n4 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f717,plain,
    ~ spl122_46,
    inference(avatar_split_clause,[],[f225,f715]) ).

fof(f715,plain,
    ( spl122_46
  <=> n4 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_46])]) ).

fof(f225,plain,
    n4 != n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f713,plain,
    ~ spl122_45,
    inference(avatar_split_clause,[],[f217,f711]) ).

fof(f711,plain,
    ( spl122_45
  <=> n3 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_45])]) ).

fof(f217,plain,
    n3 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f709,plain,
    ~ spl122_44,
    inference(avatar_split_clause,[],[f213,f707]) ).

fof(f707,plain,
    ( spl122_44
  <=> n5 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_44])]) ).

fof(f213,plain,
    n5 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f705,plain,
    ~ spl122_43,
    inference(avatar_split_clause,[],[f210,f703]) ).

fof(f703,plain,
    ( spl122_43
  <=> n6 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_43])]) ).

fof(f210,plain,
    n6 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f701,plain,
    ~ spl122_42,
    inference(avatar_split_clause,[],[f204,f699]) ).

fof(f699,plain,
    ( spl122_42
  <=> n3 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_42])]) ).

fof(f204,plain,
    n3 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f697,plain,
    ~ spl122_41,
    inference(avatar_split_clause,[],[f200,f695]) ).

fof(f695,plain,
    ( spl122_41
  <=> n3 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_41])]) ).

fof(f200,plain,
    n3 != n5,
    inference(cnf_transformation,[],[f2]) ).

fof(f693,plain,
    ~ spl122_40,
    inference(avatar_split_clause,[],[f196,f691]) ).

fof(f691,plain,
    ( spl122_40
  <=> n1 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_40])]) ).

fof(f196,plain,
    n1 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f689,plain,
    ~ spl122_39,
    inference(avatar_split_clause,[],[f193,f687]) ).

fof(f687,plain,
    ( spl122_39
  <=> n5 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_39])]) ).

fof(f193,plain,
    n5 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f685,plain,
    ~ spl122_38,
    inference(avatar_split_clause,[],[f190,f683]) ).

fof(f683,plain,
    ( spl122_38
  <=> n3 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_38])]) ).

fof(f190,plain,
    n3 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f681,plain,
    ~ spl122_37,
    inference(avatar_split_clause,[],[f188,f679]) ).

fof(f679,plain,
    ( spl122_37
  <=> n8 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_37])]) ).

fof(f188,plain,
    n8 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f677,plain,
    ~ spl122_36,
    inference(avatar_split_clause,[],[f186,f675]) ).

fof(f675,plain,
    ( spl122_36
  <=> n2 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_36])]) ).

fof(f186,plain,
    n2 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f673,plain,
    ~ spl122_35,
    inference(avatar_split_clause,[],[f180,f671]) ).

fof(f671,plain,
    ( spl122_35
  <=> n8 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_35])]) ).

fof(f180,plain,
    n8 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f669,plain,
    ~ spl122_34,
    inference(avatar_split_clause,[],[f179,f667]) ).

fof(f667,plain,
    ( spl122_34
  <=> n10 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_34])]) ).

fof(f179,plain,
    n10 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f665,plain,
    ~ spl122_33,
    inference(avatar_split_clause,[],[f162,f663]) ).

fof(f663,plain,
    ( spl122_33
  <=> n6 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_33])]) ).

fof(f162,plain,
    n6 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f661,plain,
    ~ spl122_32,
    inference(avatar_split_clause,[],[f144,f659]) ).

fof(f659,plain,
    ( spl122_32
  <=> n0 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_32])]) ).

fof(f144,plain,
    n0 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f657,plain,
    ~ spl122_31,
    inference(avatar_split_clause,[],[f134,f655]) ).

fof(f655,plain,
    ( spl122_31
  <=> n0 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_31])]) ).

fof(f134,plain,
    n0 != n4,
    inference(cnf_transformation,[],[f2]) ).

fof(f653,plain,
    ~ spl122_30,
    inference(avatar_split_clause,[],[f132,f651]) ).

fof(f651,plain,
    ( spl122_30
  <=> n1 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_30])]) ).

fof(f132,plain,
    n1 != n3,
    inference(cnf_transformation,[],[f2]) ).

fof(f649,plain,
    ~ spl122_29,
    inference(avatar_split_clause,[],[f128,f647]) ).

fof(f647,plain,
    ( spl122_29
  <=> n0 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_29])]) ).

fof(f128,plain,
    n0 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f645,plain,
    ~ spl122_28,
    inference(avatar_split_clause,[],[f127,f643]) ).

fof(f643,plain,
    ( spl122_28
  <=> n2 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_28])]) ).

fof(f127,plain,
    n2 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f641,plain,
    ~ spl122_27,
    inference(avatar_split_clause,[],[f126,f639]) ).

fof(f639,plain,
    ( spl122_27
  <=> n11 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_27])]) ).

fof(f126,plain,
    n11 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f637,plain,
    ~ spl122_26,
    inference(avatar_split_clause,[],[f119,f635]) ).

fof(f635,plain,
    ( spl122_26
  <=> n0 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_26])]) ).

fof(f119,plain,
    n0 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f633,plain,
    ~ spl122_25,
    inference(avatar_split_clause,[],[f107,f631]) ).

fof(f631,plain,
    ( spl122_25
  <=> n9 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_25])]) ).

fof(f107,plain,
    n9 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f629,plain,
    ~ spl122_24,
    inference(avatar_split_clause,[],[f101,f627]) ).

fof(f627,plain,
    ( spl122_24
  <=> n6 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_24])]) ).

fof(f101,plain,
    n6 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f625,plain,
    ~ spl122_23,
    inference(avatar_split_clause,[],[f94,f623]) ).

fof(f623,plain,
    ( spl122_23
  <=> n12 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_23])]) ).

fof(f94,plain,
    n12 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f621,plain,
    ~ spl122_22,
    inference(avatar_split_clause,[],[f93,f619]) ).

fof(f619,plain,
    ( spl122_22
  <=> n0 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_22])]) ).

fof(f93,plain,
    n0 != n5,
    inference(cnf_transformation,[],[f2]) ).

fof(f617,plain,
    ~ spl122_21,
    inference(avatar_split_clause,[],[f89,f615]) ).

fof(f615,plain,
    ( spl122_21
  <=> n2 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_21])]) ).

fof(f89,plain,
    n2 != n5,
    inference(cnf_transformation,[],[f2]) ).

fof(f613,plain,
    ~ spl122_20,
    inference(avatar_split_clause,[],[f82,f611]) ).

fof(f611,plain,
    ( spl122_20
  <=> n1 = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_20])]) ).

fof(f82,plain,
    n1 != n2,
    inference(cnf_transformation,[],[f2]) ).

fof(f609,plain,
    ~ spl122_19,
    inference(avatar_split_clause,[],[f69,f607]) ).

fof(f607,plain,
    ( spl122_19
  <=> n7 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_19])]) ).

fof(f69,plain,
    n7 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f605,plain,
    ~ spl122_18,
    inference(avatar_split_clause,[],[f67,f603]) ).

fof(f603,plain,
    ( spl122_18
  <=> n1 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_18])]) ).

fof(f67,plain,
    n1 != n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f601,plain,
    ~ spl122_17,
    inference(avatar_split_clause,[],[f61,f599]) ).

fof(f599,plain,
    ( spl122_17
  <=> n6 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_17])]) ).

fof(f61,plain,
    n6 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f597,plain,
    ~ spl122_16,
    inference(avatar_split_clause,[],[f59,f595]) ).

fof(f595,plain,
    ( spl122_16
  <=> n2 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_16])]) ).

fof(f59,plain,
    n2 != n4,
    inference(cnf_transformation,[],[f2]) ).

fof(f593,plain,
    ~ spl122_15,
    inference(avatar_split_clause,[],[f52,f591]) ).

fof(f591,plain,
    ( spl122_15
  <=> n4 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_15])]) ).

fof(f52,plain,
    n4 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f589,plain,
    ~ spl122_14,
    inference(avatar_split_clause,[],[f49,f587]) ).

fof(f587,plain,
    ( spl122_14
  <=> n1 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_14])]) ).

fof(f49,plain,
    n1 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f585,plain,
    ~ spl122_13,
    inference(avatar_split_clause,[],[f47,f583]) ).

fof(f583,plain,
    ( spl122_13
  <=> n8 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_13])]) ).

fof(f47,plain,
    n8 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f581,plain,
    ~ spl122_12,
    inference(avatar_split_clause,[],[f45,f579]) ).

fof(f579,plain,
    ( spl122_12
  <=> n9 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_12])]) ).

fof(f45,plain,
    n9 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f577,plain,
    ~ spl122_11,
    inference(avatar_split_clause,[],[f42,f575]) ).

fof(f575,plain,
    ( spl122_11
  <=> n4 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_11])]) ).

fof(f42,plain,
    n4 != n5,
    inference(cnf_transformation,[],[f2]) ).

fof(f573,plain,
    ~ spl122_10,
    inference(avatar_split_clause,[],[f41,f571]) ).

fof(f571,plain,
    ( spl122_10
  <=> n5 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_10])]) ).

fof(f41,plain,
    n5 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f569,plain,
    ~ spl122_9,
    inference(avatar_split_clause,[],[f36,f567]) ).

fof(f567,plain,
    ( spl122_9
  <=> n3 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_9])]) ).

fof(f36,plain,
    n3 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f565,plain,
    ~ spl122_8,
    inference(avatar_split_clause,[],[f32,f563]) ).

fof(f563,plain,
    ( spl122_8
  <=> n7 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_8])]) ).

fof(f32,plain,
    n7 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f561,plain,
    ~ spl122_7,
    inference(avatar_split_clause,[],[f28,f559]) ).

fof(f559,plain,
    ( spl122_7
  <=> n4 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_7])]) ).

fof(f28,plain,
    n4 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f557,plain,
    ~ spl122_6,
    inference(avatar_split_clause,[],[f24,f555]) ).

fof(f555,plain,
    ( spl122_6
  <=> n8 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_6])]) ).

fof(f24,plain,
    n8 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f553,plain,
    ~ spl122_5,
    inference(avatar_split_clause,[],[f21,f551]) ).

fof(f551,plain,
    ( spl122_5
  <=> n0 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_5])]) ).

fof(f21,plain,
    n0 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f549,plain,
    ~ spl122_4,
    inference(avatar_split_clause,[],[f20,f547]) ).

fof(f547,plain,
    ( spl122_4
  <=> n10 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_4])]) ).

fof(f20,plain,
    n10 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f545,plain,
    ~ spl122_3,
    inference(avatar_split_clause,[],[f19,f543]) ).

fof(f543,plain,
    ( spl122_3
  <=> n4 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_3])]) ).

fof(f19,plain,
    n4 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f541,plain,
    ~ spl122_2,
    inference(avatar_split_clause,[],[f11,f539]) ).

fof(f539,plain,
    ( spl122_2
  <=> n10 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_2])]) ).

fof(f11,plain,
    n10 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f537,plain,
    ~ spl122_1,
    inference(avatar_split_clause,[],[f8,f535]) ).

fof(f535,plain,
    ( spl122_1
  <=> n10 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_1])]) ).

fof(f8,plain,
    n10 != n11,
    inference(cnf_transformation,[],[f2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM378+1.015.020 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 06:27:55 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 1.12/0.63  % (27140)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.12/0.63  % (27132)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.12/0.63  % (27132)Refutation not found, incomplete strategy% (27132)------------------------------
% 1.12/0.63  % (27132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.12/0.63  % (27132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.12/0.63  % (27132)Termination reason: Refutation not found, incomplete strategy
% 1.12/0.63  
% 1.12/0.63  % (27132)Memory used [KB]: 6268
% 1.12/0.63  % (27132)Time elapsed: 0.003 s
% 1.12/0.63  % (27132)Instructions burned: 3 (million)
% 1.12/0.63  % (27132)------------------------------
% 1.12/0.63  % (27132)------------------------------
% 1.12/0.63  % (27140)Instruction limit reached!
% 1.12/0.63  % (27140)------------------------------
% 1.12/0.63  % (27140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.12/0.64  % (27140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.12/0.64  % (27140)Termination reason: Unknown
% 1.12/0.64  % (27140)Termination phase: Preprocessing 1
% 1.12/0.64  
% 1.12/0.64  % (27140)Memory used [KB]: 1791
% 1.12/0.64  % (27140)Time elapsed: 0.004 s
% 1.12/0.64  % (27140)Instructions burned: 3 (million)
% 1.12/0.64  % (27140)------------------------------
% 1.12/0.64  % (27140)------------------------------
% 1.12/0.64  % (27148)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.67/0.67  % (27133)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.87/0.69  % (27149)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.87/0.69  % (27141)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.87/0.70  % (27135)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.87/0.70  % (27141)Instruction limit reached!
% 1.87/0.70  % (27141)------------------------------
% 1.87/0.70  % (27141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.70  % (27141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.70  % (27141)Termination reason: Unknown
% 1.87/0.70  % (27141)Termination phase: Preprocessing 3
% 1.87/0.70  
% 1.87/0.70  % (27141)Memory used [KB]: 2174
% 1.87/0.70  % (27141)Time elapsed: 0.007 s
% 1.87/0.70  % (27141)Instructions burned: 8 (million)
% 1.87/0.70  % (27141)------------------------------
% 1.87/0.70  % (27141)------------------------------
% 1.87/0.70  % (27131)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.87/0.70  % (27126)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.87/0.71  % (27151)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.87/0.71  % (27130)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.87/0.71  % (27130)Refutation not found, incomplete strategy% (27130)------------------------------
% 1.87/0.71  % (27130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.71  % (27130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.71  % (27130)Termination reason: Refutation not found, incomplete strategy
% 1.87/0.71  
% 1.87/0.71  % (27130)Memory used [KB]: 6268
% 1.87/0.71  % (27130)Time elapsed: 0.002 s
% 1.87/0.71  % (27130)Instructions burned: 1 (million)
% 1.87/0.71  % (27130)------------------------------
% 1.87/0.71  % (27130)------------------------------
% 1.87/0.71  % (27150)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.87/0.71  % (27152)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.87/0.71  % (27137)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.87/0.71  % (27143)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.87/0.72  % (27143)Instruction limit reached!
% 1.87/0.72  % (27143)------------------------------
% 1.87/0.72  % (27143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.72  % (27143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.72  % (27143)Termination reason: Unknown
% 1.87/0.72  % (27143)Termination phase: Preprocessing 1
% 1.87/0.72  
% 1.87/0.72  % (27143)Memory used [KB]: 1791
% 1.87/0.72  % (27143)Time elapsed: 0.004 s
% 1.87/0.72  % (27143)Instructions burned: 3 (million)
% 1.87/0.72  % (27143)------------------------------
% 1.87/0.72  % (27143)------------------------------
% 1.87/0.72  % (27128)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.87/0.72  % (27127)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.87/0.72  % (27129)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.87/0.72  % (27128)Instruction limit reached!
% 1.87/0.72  % (27128)------------------------------
% 1.87/0.72  % (27128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.72  % (27127)Refutation not found, incomplete strategy% (27127)------------------------------
% 1.87/0.72  % (27127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.72  % (27127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.72  % (27127)Termination reason: Refutation not found, incomplete strategy
% 1.87/0.72  
% 1.87/0.72  % (27127)Memory used [KB]: 6268
% 1.87/0.72  % (27127)Time elapsed: 0.004 s
% 1.87/0.72  % (27127)Instructions burned: 2 (million)
% 1.87/0.72  % (27127)------------------------------
% 1.87/0.72  % (27127)------------------------------
% 2.22/0.72  % (27135)Refutation not found, incomplete strategy% (27135)------------------------------
% 2.22/0.72  % (27135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.72  % (27135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.72  % (27135)Termination reason: Refutation not found, incomplete strategy
% 2.22/0.72  
% 2.22/0.72  % (27135)Memory used [KB]: 6268
% 2.22/0.72  % (27135)Time elapsed: 0.003 s
% 2.22/0.72  % (27135)Instructions burned: 3 (million)
% 2.22/0.72  % (27135)------------------------------
% 2.22/0.72  % (27135)------------------------------
% 2.22/0.72  % (27146)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 2.22/0.72  % (27142)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.22/0.72  % (27147)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.22/0.72  % (27153)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 2.22/0.72  % (27136)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 2.22/0.72  % (27154)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 2.22/0.72  % (27139)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.22/0.73  % (27134)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 2.22/0.73  % (27129)Refutation not found, incomplete strategy% (27129)------------------------------
% 2.22/0.73  % (27129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.73  % (27129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.73  % (27129)Termination reason: Refutation not found, incomplete strategy
% 2.22/0.73  
% 2.22/0.73  % (27129)Memory used [KB]: 6268
% 2.22/0.73  % (27129)Time elapsed: 0.004 s
% 2.22/0.73  % (27129)Instructions burned: 2 (million)
% 2.22/0.73  % (27129)------------------------------
% 2.22/0.73  % (27129)------------------------------
% 2.22/0.73  % (27128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.73  % (27128)Termination reason: Unknown
% 2.22/0.73  % (27128)Termination phase: Preprocessing 1
% 2.22/0.73  
% 2.22/0.73  % (27128)Memory used [KB]: 1791
% 2.22/0.73  % (27128)Time elapsed: 0.004 s
% 2.22/0.73  % (27128)Instructions burned: 3 (million)
% 2.22/0.73  % (27128)------------------------------
% 2.22/0.73  % (27128)------------------------------
% 2.22/0.73  % (27139)Refutation not found, incomplete strategy% (27139)------------------------------
% 2.22/0.73  % (27139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.73  % (27139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.73  % (27139)Termination reason: Refutation not found, incomplete strategy
% 2.22/0.73  
% 2.22/0.73  % (27139)Memory used [KB]: 6268
% 2.22/0.73  % (27139)Time elapsed: 0.003 s
% 2.22/0.73  % (27139)Instructions burned: 3 (million)
% 2.22/0.73  % (27139)------------------------------
% 2.22/0.73  % (27139)------------------------------
% 2.22/0.73  % (27134)Refutation not found, incomplete strategy% (27134)------------------------------
% 2.22/0.73  % (27134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.73  % (27134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.73  % (27134)Termination reason: Refutation not found, incomplete strategy
% 2.22/0.73  
% 2.22/0.73  % (27134)Memory used [KB]: 6268
% 2.22/0.73  % (27134)Time elapsed: 0.003 s
% 2.22/0.73  % (27134)Instructions burned: 2 (million)
% 2.22/0.73  % (27134)------------------------------
% 2.22/0.73  % (27134)------------------------------
% 2.22/0.73  % (27145)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 2.22/0.73  % (27144)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.22/0.73  % (27138)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 2.22/0.73  % (27145)Refutation not found, incomplete strategy% (27145)------------------------------
% 2.22/0.73  % (27145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.73  % (27137)Instruction limit reached!
% 2.22/0.73  % (27137)------------------------------
% 2.22/0.73  % (27137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.73  % (27131)Instruction limit reached!
% 2.22/0.73  % (27131)------------------------------
% 2.22/0.73  % (27131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.73  % (27155)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 2.22/0.73  % (27155)Refutation not found, incomplete strategy% (27155)------------------------------
% 2.22/0.73  % (27155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.73  % (27146)Refutation not found, incomplete strategy% (27146)------------------------------
% 2.22/0.73  % (27146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.73  % (27146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.73  % (27146)Termination reason: Refutation not found, incomplete strategy
% 2.22/0.73  
% 2.22/0.73  % (27146)Memory used [KB]: 6268
% 2.22/0.73  % (27146)Time elapsed: 0.004 s
% 2.22/0.73  % (27146)Instructions burned: 3 (million)
% 2.22/0.73  % (27146)------------------------------
% 2.22/0.73  % (27146)------------------------------
% 2.22/0.74  % (27144)Refutation not found, incomplete strategy% (27144)------------------------------
% 2.22/0.74  % (27144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.74  % (27144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.74  % (27144)Termination reason: Refutation not found, incomplete strategy
% 2.22/0.74  
% 2.22/0.74  % (27144)Memory used [KB]: 6268
% 2.22/0.74  % (27144)Time elapsed: 0.004 s
% 2.22/0.74  % (27144)Instructions burned: 1 (million)
% 2.22/0.74  % (27144)------------------------------
% 2.22/0.74  % (27144)------------------------------
% 2.22/0.74  % (27154)Instruction limit reached!
% 2.22/0.74  % (27154)------------------------------
% 2.22/0.74  % (27154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.74  % (27154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.74  % (27154)Termination reason: Unknown
% 2.22/0.74  % (27154)Termination phase: Preprocessing 3
% 2.22/0.74  
% 2.22/0.74  % (27154)Memory used [KB]: 2174
% 2.22/0.74  % (27154)Time elapsed: 0.007 s
% 2.22/0.74  % (27154)Instructions burned: 8 (million)
% 2.22/0.74  % (27154)------------------------------
% 2.22/0.74  % (27154)------------------------------
% 2.22/0.74  % (27155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.74  % (27155)Termination reason: Refutation not found, incomplete strategy
% 2.22/0.74  
% 2.22/0.74  % (27155)Memory used [KB]: 6268
% 2.22/0.74  % (27155)Time elapsed: 0.005 s
% 2.22/0.74  % (27155)Instructions burned: 2 (million)
% 2.22/0.74  % (27155)------------------------------
% 2.22/0.74  % (27155)------------------------------
% 2.22/0.74  % (27145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.74  % (27145)Termination reason: Refutation not found, incomplete strategy
% 2.22/0.74  
% 2.22/0.74  % (27145)Memory used [KB]: 6268
% 2.22/0.74  % (27145)Time elapsed: 0.005 s
% 2.22/0.74  % (27145)Instructions burned: 3 (million)
% 2.22/0.74  % (27145)------------------------------
% 2.22/0.74  % (27145)------------------------------
% 2.22/0.74  % (27136)Instruction limit reached!
% 2.22/0.74  % (27136)------------------------------
% 2.22/0.74  % (27136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.74  % (27136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.74  % (27136)Termination reason: Unknown
% 2.22/0.74  % (27136)Termination phase: Preprocessing 3
% 2.22/0.74  
% 2.22/0.74  % (27136)Memory used [KB]: 2302
% 2.22/0.74  % (27136)Time elapsed: 0.009 s
% 2.22/0.74  % (27136)Instructions burned: 12 (million)
% 2.22/0.74  % (27136)------------------------------
% 2.22/0.74  % (27136)------------------------------
% 2.22/0.74  % (27131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.74  % (27131)Termination reason: Unknown
% 2.22/0.74  % (27131)Termination phase: Property scanning
% 2.22/0.74  
% 2.22/0.74  % (27131)Memory used [KB]: 2430
% 2.22/0.74  % (27131)Time elapsed: 0.012 s
% 2.22/0.74  % (27131)Instructions burned: 17 (million)
% 2.22/0.74  % (27131)------------------------------
% 2.22/0.74  % (27131)------------------------------
% 2.22/0.74  % (27137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.74  % (27137)Termination reason: Unknown
% 2.22/0.74  % (27137)Termination phase: Preprocessing 3
% 2.22/0.74  
% 2.22/0.74  % (27137)Memory used [KB]: 2174
% 2.22/0.74  % (27137)Time elapsed: 0.007 s
% 2.22/0.74  % (27137)Instructions burned: 8 (million)
% 2.22/0.74  % (27137)------------------------------
% 2.22/0.74  % (27137)------------------------------
% 2.43/0.75  % (27138)Instruction limit reached!
% 2.43/0.75  % (27138)------------------------------
% 2.43/0.75  % (27138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.75  % (27138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.75  % (27138)Termination reason: Unknown
% 2.43/0.75  % (27138)Termination phase: Property scanning
% 2.43/0.75  
% 2.43/0.75  % (27138)Memory used [KB]: 2430
% 2.43/0.75  % (27138)Time elapsed: 0.013 s
% 2.43/0.75  % (27138)Instructions burned: 17 (million)
% 2.43/0.75  % (27138)------------------------------
% 2.43/0.75  % (27138)------------------------------
% 2.43/0.76  % (27153)Instruction limit reached!
% 2.43/0.76  % (27153)------------------------------
% 2.43/0.76  % (27153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.76  % (27153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.76  % (27153)Termination reason: Unknown
% 2.43/0.76  % (27153)Termination phase: Saturation
% 2.43/0.76  
% 2.43/0.76  % (27153)Memory used [KB]: 7036
% 2.43/0.76  % (27153)Time elapsed: 0.242 s
% 2.43/0.76  % (27153)Instructions burned: 25 (million)
% 2.43/0.76  % (27153)------------------------------
% 2.43/0.76  % (27153)------------------------------
% 2.43/0.76  % (27149)Refutation not found, incomplete strategy% (27149)------------------------------
% 2.43/0.76  % (27149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.76  % (27149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.76  % (27149)Termination reason: Refutation not found, incomplete strategy
% 2.43/0.76  
% 2.43/0.76  % (27149)Memory used [KB]: 3326
% 2.43/0.76  % (27149)Time elapsed: 0.048 s
% 2.43/0.76  % (27149)Instructions burned: 35 (million)
% 2.43/0.76  % (27149)------------------------------
% 2.43/0.76  % (27149)------------------------------
% 2.43/0.76  % (27133)Instruction limit reached!
% 2.43/0.76  % (27133)------------------------------
% 2.43/0.76  % (27133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.76  % (27133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.76  % (27133)Termination reason: Unknown
% 2.43/0.76  % (27133)Termination phase: Saturation
% 2.43/0.76  
% 2.43/0.76  % (27133)Memory used [KB]: 3326
% 2.43/0.76  % (27133)Time elapsed: 0.042 s
% 2.43/0.76  % (27133)Instructions burned: 39 (million)
% 2.43/0.76  % (27133)------------------------------
% 2.43/0.76  % (27133)------------------------------
% 2.43/0.79  % (27148)Instruction limit reached!
% 2.43/0.79  % (27148)------------------------------
% 2.43/0.79  % (27148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.79  % (27148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.79  % (27148)Termination reason: Unknown
% 2.43/0.79  % (27148)Termination phase: Saturation
% 2.43/0.79  
% 2.43/0.79  % (27148)Memory used [KB]: 7803
% 2.43/0.79  % (27148)Time elapsed: 0.292 s
% 2.43/0.79  % (27148)Instructions burned: 82 (million)
% 2.43/0.79  % (27148)------------------------------
% 2.43/0.79  % (27148)------------------------------
% 2.43/0.80  % (27147)Refutation not found, incomplete strategy% (27147)------------------------------
% 2.43/0.80  % (27147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.80  % (27147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.80  % (27147)Termination reason: Refutation not found, incomplete strategy
% 2.43/0.80  
% 2.43/0.80  % (27147)Memory used [KB]: 7803
% 2.43/0.80  % (27147)Time elapsed: 0.034 s
% 2.43/0.80  % (27147)Instructions burned: 39 (million)
% 2.43/0.80  % (27147)------------------------------
% 2.43/0.80  % (27147)------------------------------
% 2.43/0.81  % (27152)Refutation not found, incomplete strategy% (27152)------------------------------
% 2.43/0.81  % (27152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.81  % (27152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.81  % (27152)Termination reason: Refutation not found, incomplete strategy
% 2.43/0.81  
% 2.43/0.81  % (27152)Memory used [KB]: 8571
% 2.43/0.81  % (27152)Time elapsed: 0.033 s
% 2.43/0.81  % (27152)Instructions burned: 39 (million)
% 2.43/0.81  % (27152)------------------------------
% 2.43/0.81  % (27152)------------------------------
% 2.66/0.83  % (27157)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/92Mi)
% 2.66/0.83  % (27142)Refutation not found, incomplete strategy% (27142)------------------------------
% 2.66/0.83  % (27142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.83  % (27142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.83  % (27142)Termination reason: Refutation not found, incomplete strategy
% 2.66/0.83  
% 2.66/0.83  % (27142)Memory used [KB]: 8571
% 2.66/0.83  % (27142)Time elapsed: 0.032 s
% 2.66/0.83  % (27142)Instructions burned: 39 (million)
% 2.66/0.83  % (27142)------------------------------
% 2.66/0.83  % (27142)------------------------------
% 2.66/0.83  % (27157)Refutation not found, incomplete strategy% (27157)------------------------------
% 2.66/0.83  % (27157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.83  % (27157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.83  % (27157)Termination reason: Refutation not found, incomplete strategy
% 2.66/0.83  
% 2.66/0.83  % (27157)Memory used [KB]: 6268
% 2.66/0.83  % (27157)Time elapsed: 0.003 s
% 2.66/0.83  % (27157)Instructions burned: 2 (million)
% 2.66/0.83  % (27157)------------------------------
% 2.66/0.83  % (27157)------------------------------
% 2.66/0.84  % (27158)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 2.66/0.85  % (27150)Instruction limit reached!
% 2.66/0.85  % (27150)------------------------------
% 2.66/0.85  % (27150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.85  % (27150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.85  % (27150)Termination reason: Unknown
% 2.66/0.85  % (27150)Termination phase: Saturation
% 2.66/0.85  
% 2.66/0.85  % (27150)Memory used [KB]: 7547
% 2.66/0.85  % (27150)Time elapsed: 0.316 s
% 2.66/0.85  % (27150)Instructions burned: 50 (million)
% 2.66/0.85  % (27150)------------------------------
% 2.66/0.85  % (27150)------------------------------
% 2.66/0.85  % (27158)Refutation not found, incomplete strategy% (27158)------------------------------
% 2.66/0.85  % (27158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.85  % (27158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.85  % (27158)Termination reason: Refutation not found, incomplete strategy
% 2.66/0.85  
% 2.66/0.85  % (27158)Memory used [KB]: 10746
% 2.66/0.85  % (27158)Time elapsed: 0.004 s
% 2.66/0.85  % (27158)Instructions burned: 2 (million)
% 2.66/0.85  % (27158)------------------------------
% 2.66/0.85  % (27158)------------------------------
% 2.85/0.88  % (27166)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/42Mi)
% 2.85/0.89  % (27173)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/93Mi)
% 2.85/0.90  % (27160)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/87Mi)
% 2.85/0.90  % (27160)Refutation not found, incomplete strategy% (27160)------------------------------
% 2.85/0.90  % (27160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.90  % (27160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.90  % (27160)Termination reason: Refutation not found, incomplete strategy
% 2.85/0.90  
% 2.85/0.90  % (27160)Memory used [KB]: 6268
% 2.85/0.90  % (27160)Time elapsed: 0.002 s
% 2.85/0.90  % (27160)Instructions burned: 1 (million)
% 2.85/0.90  % (27160)------------------------------
% 2.85/0.90  % (27160)------------------------------
% 2.85/0.93  % (27183)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/10Mi)
% 2.85/0.93  % (27167)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/31Mi)
% 2.85/0.93  % (27177)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/32Mi)
% 2.85/0.93  % (27166)Instruction limit reached!
% 2.85/0.93  % (27166)------------------------------
% 2.85/0.93  % (27166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.93  % (27166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.93  % (27166)Termination reason: Unknown
% 2.85/0.93  % (27166)Termination phase: Saturation
% 2.85/0.93  
% 2.85/0.93  % (27166)Memory used [KB]: 7419
% 2.85/0.93  % (27166)Time elapsed: 0.135 s
% 2.85/0.93  % (27166)Instructions burned: 42 (million)
% 2.85/0.93  % (27166)------------------------------
% 2.85/0.93  % (27166)------------------------------
% 2.85/0.95  % (27179)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/66Mi)
% 3.02/0.95  % (27179)Refutation not found, incomplete strategy% (27179)------------------------------
% 3.02/0.95  % (27179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.95  % (27179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.95  % (27179)Termination reason: Refutation not found, incomplete strategy
% 3.02/0.95  
% 3.02/0.95  % (27179)Memory used [KB]: 6268
% 3.02/0.95  % (27179)Time elapsed: 0.002 s
% 3.02/0.95  % (27179)Instructions burned: 1 (million)
% 3.02/0.95  % (27179)------------------------------
% 3.02/0.95  % (27179)------------------------------
% 3.02/0.95  % (27183)Refutation not found, incomplete strategy% (27183)------------------------------
% 3.02/0.95  % (27183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.95  % (27183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.95  % (27183)Termination reason: Refutation not found, incomplete strategy
% 3.02/0.95  
% 3.02/0.95  % (27183)Memory used [KB]: 6268
% 3.02/0.95  % (27183)Time elapsed: 0.003 s
% 3.02/0.95  % (27183)Instructions burned: 2 (million)
% 3.02/0.95  % (27183)------------------------------
% 3.02/0.95  % (27183)------------------------------
% 3.02/0.96  % (27176)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/15Mi)
% 3.02/0.96  % (27173)Instruction limit reached!
% 3.02/0.96  % (27173)------------------------------
% 3.02/0.96  % (27173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.96  % (27173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.96  % (27173)Termination reason: Unknown
% 3.02/0.96  % (27173)Termination phase: Saturation
% 3.02/0.96  
% 3.02/0.96  % (27173)Memory used [KB]: 7803
% 3.02/0.96  % (27173)Time elapsed: 0.077 s
% 3.02/0.96  % (27173)Instructions burned: 93 (million)
% 3.02/0.96  % (27173)------------------------------
% 3.02/0.96  % (27173)------------------------------
% 3.02/0.96  % (27169)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/84Mi)
% 3.02/0.97  % (27168)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.02/0.97  % (27175)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/86Mi)
% 3.20/0.97  % (27177)Instruction limit reached!
% 3.20/0.97  % (27177)------------------------------
% 3.20/0.97  % (27177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.97  % (27177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.97  % (27177)Termination reason: Unknown
% 3.20/0.97  % (27177)Termination phase: Saturation
% 3.20/0.97  
% 3.20/0.97  % (27177)Memory used [KB]: 7164
% 3.20/0.97  % (27177)Time elapsed: 0.135 s
% 3.20/0.97  % (27177)Instructions burned: 33 (million)
% 3.20/0.97  % (27177)------------------------------
% 3.20/0.97  % (27177)------------------------------
% 3.20/0.97  % (27174)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/109Mi)
% 3.20/0.97  % (27174)Refutation not found, incomplete strategy% (27174)------------------------------
% 3.20/0.97  % (27174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.97  % (27174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.97  % (27174)Termination reason: Refutation not found, incomplete strategy
% 3.20/0.97  
% 3.20/0.97  % (27174)Memory used [KB]: 6268
% 3.20/0.97  % (27174)Time elapsed: 0.003 s
% 3.20/0.97  % (27174)Instructions burned: 1 (million)
% 3.20/0.97  % (27174)------------------------------
% 3.20/0.97  % (27174)------------------------------
% 3.20/0.97  % (27172)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/131Mi)
% 3.20/0.97  % (27151)Instruction limit reached!
% 3.20/0.97  % (27151)------------------------------
% 3.20/0.97  % (27151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.97  % (27151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.97  % (27151)Termination reason: Unknown
% 3.20/0.97  % (27151)Termination phase: Saturation
% 3.20/0.97  
% 3.20/0.97  % (27151)Memory used [KB]: 7803
% 3.20/0.97  % (27151)Time elapsed: 0.068 s
% 3.20/0.97  % (27151)Instructions burned: 95 (million)
% 3.20/0.97  % (27151)------------------------------
% 3.20/0.97  % (27151)------------------------------
% 3.20/0.97  % (27172)Refutation not found, incomplete strategy% (27172)------------------------------
% 3.20/0.97  % (27172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.97  % (27172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.97  % (27172)Termination reason: Refutation not found, incomplete strategy
% 3.20/0.97  
% 3.20/0.97  % (27172)Memory used [KB]: 6268
% 3.20/0.97  % (27172)Time elapsed: 0.004 s
% 3.20/0.97  % (27172)Instructions burned: 4 (million)
% 3.20/0.97  % (27172)------------------------------
% 3.20/0.97  % (27172)------------------------------
% 3.20/0.98  % (27167)Refutation not found, incomplete strategy% (27167)------------------------------
% 3.20/0.98  % (27167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.98  % (27167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.98  % (27167)Termination reason: Refutation not found, incomplete strategy
% 3.20/0.98  
% 3.20/0.98  % (27167)Memory used [KB]: 7164
% 3.20/0.98  % (27167)Time elapsed: 0.017 s
% 3.20/0.98  % (27167)Instructions burned: 27 (million)
% 3.20/0.98  % (27167)------------------------------
% 3.20/0.98  % (27167)------------------------------
% 3.20/0.98  % (27180)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/19Mi)
% 3.20/0.99  % (27182)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=237:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/237Mi)
% 3.20/0.99  % (27176)Instruction limit reached!
% 3.20/0.99  % (27176)------------------------------
% 3.20/0.99  % (27176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.99  % (27176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.99  % (27176)Termination reason: Unknown
% 3.20/0.99  % (27176)Termination phase: Property scanning
% 3.20/0.99  
% 3.20/0.99  % (27176)Memory used [KB]: 2430
% 3.20/0.99  % (27176)Time elapsed: 0.012 s
% 3.20/0.99  % (27176)Instructions burned: 15 (million)
% 3.20/0.99  % (27176)------------------------------
% 3.20/0.99  % (27176)------------------------------
% 3.20/0.99  % (27178)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/149Mi)
% 3.20/0.99  % (27178)Refutation not found, incomplete strategy% (27178)------------------------------
% 3.20/0.99  % (27178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.99  % (27178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.99  % (27178)Termination reason: Refutation not found, incomplete strategy
% 3.20/0.99  
% 3.20/0.99  % (27178)Memory used [KB]: 6268
% 3.20/0.99  % (27178)Time elapsed: 0.003 s
% 3.20/0.99  % (27178)Instructions burned: 3 (million)
% 3.20/0.99  % (27178)------------------------------
% 3.20/0.99  % (27178)------------------------------
% 3.20/1.00  % (27161)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/69Mi)
% 3.20/1.00  % (27181)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=341:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/341Mi)
% 3.20/1.00  % (27181)Refutation not found, incomplete strategy% (27181)------------------------------
% 3.20/1.00  % (27181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/1.00  % (27181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/1.00  % (27181)Termination reason: Refutation not found, incomplete strategy
% 3.20/1.00  
% 3.20/1.00  % (27181)Memory used [KB]: 6268
% 3.20/1.00  % (27181)Time elapsed: 0.004 s
% 3.20/1.00  % (27181)Instructions burned: 2 (million)
% 3.20/1.00  % (27181)------------------------------
% 3.20/1.00  % (27181)------------------------------
% 3.20/1.00  % (27162)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/107Mi)
% 3.20/1.01  % (27163)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/56Mi)
% 3.20/1.01  % (27163)Refutation not found, incomplete strategy% (27163)------------------------------
% 3.20/1.01  % (27163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/1.01  % (27163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/1.01  % (27163)Termination reason: Refutation not found, incomplete strategy
% 3.20/1.01  
% 3.20/1.01  % (27163)Memory used [KB]: 6268
% 3.20/1.01  % (27163)Time elapsed: 0.002 s
% 3.20/1.01  % (27163)Instructions burned: 2 (million)
% 3.20/1.01  % (27163)------------------------------
% 3.20/1.01  % (27163)------------------------------
% 3.20/1.01  % (27180)Instruction limit reached!
% 3.20/1.01  % (27180)------------------------------
% 3.20/1.01  % (27180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/1.01  % (27180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/1.01  % (27180)Termination reason: Unknown
% 3.20/1.01  % (27180)Termination phase: Saturation
% 3.20/1.01  
% 3.20/1.01  % (27180)Memory used [KB]: 2430
% 3.20/1.01  % (27180)Time elapsed: 0.013 s
% 3.20/1.01  % (27180)Instructions burned: 19 (million)
% 3.20/1.01  % (27180)------------------------------
% 3.20/1.01  % (27180)------------------------------
% 3.20/1.01  % (27164)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/141Mi)
% 3.20/1.01  % (27164)Refutation not found, incomplete strategy% (27164)------------------------------
% 3.20/1.01  % (27164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/1.01  % (27164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/1.01  % (27164)Termination reason: Refutation not found, incomplete strategy
% 3.20/1.01  
% 3.20/1.01  % (27164)Memory used [KB]: 6268
% 3.20/1.01  % (27164)Time elapsed: 0.003 s
% 3.20/1.01  % (27164)Instructions burned: 2 (million)
% 3.20/1.01  % (27164)------------------------------
% 3.20/1.01  % (27164)------------------------------
% 3.20/1.01  % (27175)Refutation not found, incomplete strategy% (27175)------------------------------
% 3.20/1.01  % (27175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/1.01  % (27175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/1.01  % (27175)Termination reason: Refutation not found, incomplete strategy
% 3.20/1.01  
% 3.20/1.01  % (27175)Memory used [KB]: 7419
% 3.20/1.01  % (27175)Time elapsed: 0.020 s
% 3.20/1.01  % (27175)Instructions burned: 30 (million)
% 3.20/1.01  % (27175)------------------------------
% 3.20/1.01  % (27175)------------------------------
% 3.20/1.02  % (27186)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/21Mi)
% 4.00/1.02  % (27186)Refutation not found, incomplete strategy% (27186)------------------------------
% 4.00/1.02  % (27186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.00/1.02  % (27186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.00/1.02  % (27186)Termination reason: Refutation not found, incomplete strategy
% 4.00/1.02  
% 4.00/1.02  % (27186)Memory used [KB]: 6268
% 4.00/1.02  % (27186)Time elapsed: 0.002 s
% 4.00/1.02  % (27186)Instructions burned: 2 (million)
% 4.00/1.02  % (27186)------------------------------
% 4.00/1.02  % (27186)------------------------------
% 4.00/1.02  % (27185)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=472:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/472Mi)
% 4.00/1.02  % (27185)Refutation not found, incomplete strategy% (27185)------------------------------
% 4.00/1.02  % (27185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.00/1.02  % (27185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.00/1.02  % (27185)Termination reason: Refutation not found, incomplete strategy
% 4.00/1.02  
% 4.00/1.02  % (27185)Memory used [KB]: 6268
% 4.00/1.02  % (27185)Time elapsed: 0.003 s
% 4.00/1.02  % (27185)Instructions burned: 2 (million)
% 4.00/1.02  % (27185)------------------------------
% 4.00/1.02  % (27185)------------------------------
% 4.00/1.02  % (27169)Refutation not found, incomplete strategy% (27169)------------------------------
% 4.00/1.02  % (27169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.00/1.02  % (27169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.00/1.02  % (27169)Termination reason: Refutation not found, incomplete strategy
% 4.00/1.02  
% 4.00/1.02  % (27169)Memory used [KB]: 7803
% 4.00/1.02  % (27169)Time elapsed: 0.028 s
% 4.00/1.02  % (27169)Instructions burned: 37 (million)
% 4.00/1.02  % (27169)------------------------------
% 4.00/1.02  % (27169)------------------------------
% 4.00/1.05  % (27191)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/97Mi)
% 4.00/1.05  % (27194)lrs+10_1:1_av=off:sd=2:sos=on:ss=axioms:st=1.5:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/21Mi)
% 4.00/1.06  % (27194)Refutation not found, incomplete strategy% (27194)------------------------------
% 4.00/1.06  % (27194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.00/1.06  % (27194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.00/1.06  % (27194)Termination reason: Refutation not found, incomplete strategy
% 4.00/1.06  
% 4.00/1.06  % (27194)Memory used [KB]: 1791
% 4.00/1.06  % (27194)Time elapsed: 0.003 s
% 4.00/1.06  % (27194)Instructions burned: 3 (million)
% 4.00/1.06  % (27194)------------------------------
% 4.00/1.06  % (27194)------------------------------
% 4.00/1.06  % (27182)Refutation not found, incomplete strategy% (27182)------------------------------
% 4.00/1.06  % (27182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.00/1.06  % (27182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.00/1.06  % (27182)Termination reason: Refutation not found, incomplete strategy
% 4.00/1.06  
% 4.00/1.06  % (27182)Memory used [KB]: 7803
% 4.00/1.06  % (27182)Time elapsed: 0.031 s
% 4.00/1.06  % (27182)Instructions burned: 39 (million)
% 4.00/1.06  % (27182)------------------------------
% 4.00/1.06  % (27182)------------------------------
% 4.00/1.07  % (27197)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=393:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/393Mi)
% 4.00/1.07  % (27197)Refutation not found, incomplete strategy% (27197)------------------------------
% 4.00/1.07  % (27197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.00/1.07  % (27197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.00/1.07  % (27197)Termination reason: Refutation not found, incomplete strategy
% 4.00/1.07  
% 4.00/1.07  % (27197)Memory used [KB]: 6268
% 4.00/1.07  % (27197)Time elapsed: 0.002 s
% 4.00/1.07  % (27197)Instructions burned: 1 (million)
% 4.00/1.07  % (27197)------------------------------
% 4.00/1.07  % (27197)------------------------------
% 4.00/1.07  % (27195)dis+1011_1:1_nwc=3.0:sd=1:spb=goal_then_units:ss=included:to=lpo:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/138Mi)
% 4.92/1.07  % (27161)Refutation not found, incomplete strategy% (27161)------------------------------
% 4.92/1.07  % (27161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.92/1.07  % (27161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.92/1.07  % (27161)Termination reason: Refutation not found, incomplete strategy
% 4.92/1.07  
% 4.92/1.07  % (27161)Memory used [KB]: 3198
% 4.92/1.07  % (27161)Time elapsed: 0.027 s
% 4.92/1.07  % (27161)Instructions burned: 37 (million)
% 4.92/1.07  % (27161)------------------------------
% 4.92/1.07  % (27161)------------------------------
% 4.92/1.08  % (27204)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/93Mi)
% 4.92/1.09  % (27198)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/488Mi)
% 4.92/1.09  % (27198)Refutation not found, incomplete strategy% (27198)------------------------------
% 4.92/1.09  % (27198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.92/1.09  % (27198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.92/1.09  % (27198)Termination reason: Refutation not found, incomplete strategy
% 4.92/1.09  
% 4.92/1.09  % (27198)Memory used [KB]: 6268
% 4.92/1.09  % (27198)Time elapsed: 0.003 s
% 4.92/1.09  % (27198)Instructions burned: 3 (million)
% 4.92/1.09  % (27198)------------------------------
% 4.92/1.09  % (27198)------------------------------
% 4.92/1.09  % (27191)Refutation not found, incomplete strategy% (27191)------------------------------
% 4.92/1.09  % (27191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.92/1.09  % (27191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.92/1.09  % (27191)Termination reason: Refutation not found, incomplete strategy
% 4.92/1.09  
% 4.92/1.09  % (27191)Memory used [KB]: 7164
% 4.92/1.09  % (27191)Time elapsed: 0.017 s
% 4.92/1.09  % (27191)Instructions burned: 27 (million)
% 4.92/1.09  % (27191)------------------------------
% 4.92/1.09  % (27191)------------------------------
% 4.92/1.12  % (27168)Instruction limit reached!
% 4.92/1.12  % (27168)------------------------------
% 4.92/1.12  % (27168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.92/1.12  % (27168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.92/1.12  % (27168)Termination reason: Unknown
% 4.92/1.12  % (27168)Termination phase: Saturation
% 4.92/1.12  
% 4.92/1.12  % (27168)Memory used [KB]: 7547
% 4.92/1.12  % (27168)Time elapsed: 0.347 s
% 4.92/1.12  % (27168)Instructions burned: 68 (million)
% 4.92/1.12  % (27168)------------------------------
% 4.92/1.12  % (27168)------------------------------
% 4.92/1.13  % (27209)lrs+1010_1:1_sd=1:sos=on:sp=frequency:ss=included:to=lpo:i=221:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/221Mi)
% 5.49/1.16  % (27207)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/23Mi)
% 5.49/1.18  % (27212)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=79:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/79Mi)
% 5.49/1.19  % (27209)Refutation not found, incomplete strategy% (27209)------------------------------
% 5.49/1.19  % (27209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.49/1.19  % (27209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.49/1.19  % (27209)Termination reason: Refutation not found, incomplete strategy
% 5.49/1.19  
% 5.49/1.19  % (27209)Memory used [KB]: 7547
% 5.49/1.19  % (27209)Time elapsed: 0.023 s
% 5.49/1.19  % (27209)Instructions burned: 32 (million)
% 5.49/1.19  % (27209)------------------------------
% 5.49/1.19  % (27209)------------------------------
% 5.49/1.20  % (27207)Instruction limit reached!
% 5.49/1.20  % (27207)------------------------------
% 5.49/1.20  % (27207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.49/1.20  % (27207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.49/1.20  % (27207)Termination reason: Unknown
% 5.49/1.20  % (27207)Termination phase: Property scanning
% 5.49/1.20  
% 5.49/1.20  % (27207)Memory used [KB]: 2558
% 5.49/1.20  % (27207)Time elapsed: 0.015 s
% 5.49/1.20  % (27207)Instructions burned: 23 (million)
% 5.49/1.20  % (27207)------------------------------
% 5.49/1.20  % (27207)------------------------------
% 5.76/1.21  % (27217)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8Mi)
% 5.76/1.22  % (27219)ott+1011_1:16_lma=on:nicw=on:sd=7:sp=const_frequency:ss=axioms:st=5.0:urr=ec_only:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/23Mi)
% 5.76/1.22  % (27219)Refutation not found, incomplete strategy% (27219)------------------------------
% 5.76/1.22  % (27219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.76/1.22  % (27219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.76/1.22  % (27219)Termination reason: Refutation not found, incomplete strategy
% 5.76/1.22  
% 5.76/1.22  % (27219)Memory used [KB]: 6268
% 5.76/1.22  % (27219)Time elapsed: 0.002 s
% 5.76/1.22  % (27219)Instructions burned: 2 (million)
% 5.76/1.22  % (27219)------------------------------
% 5.76/1.22  % (27219)------------------------------
% 5.76/1.22  % (27210)lrs+35_1:2_av=off:bsr=unit_only:flr=on:lcm=predicate:sp=frequency:i=222:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/222Mi)
% 5.76/1.23  % (27217)Instruction limit reached!
% 5.76/1.23  % (27217)------------------------------
% 5.76/1.23  % (27217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.76/1.23  % (27217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.76/1.23  % (27217)Termination reason: Unknown
% 5.76/1.23  % (27217)Termination phase: Preprocessing 3
% 5.76/1.23  
% 5.76/1.23  % (27217)Memory used [KB]: 2174
% 5.76/1.23  % (27217)Time elapsed: 0.007 s
% 5.76/1.23  % (27217)Instructions burned: 8 (million)
% 5.76/1.23  % (27217)------------------------------
% 5.76/1.23  % (27217)------------------------------
% 5.76/1.23  % (27213)lrs+11_1:32_awrs=converge:awrsf=32:bd=preordered:drc=off:fd=preordered:flr=on:to=lpo:i=377:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/377Mi)
% 5.76/1.24  % (27223)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=753:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/753Mi)
% 5.76/1.24  % (27215)ins+10_1:1_br=off:gs=on:igrr=1/32:igs=34:igwr=on:nm=0:sp=const_min:uhcvi=on:updr=off:urr=ec_only:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/34Mi)
% 5.76/1.24  % (27204)Instruction limit reached!
% 5.76/1.24  % (27204)------------------------------
% 5.76/1.24  % (27204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.76/1.24  % (27204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.76/1.24  % (27204)Termination reason: Unknown
% 5.76/1.24  % (27204)Termination phase: Saturation
% 5.76/1.24  
% 5.76/1.24  % (27204)Memory used [KB]: 7931
% 5.76/1.24  % (27204)Time elapsed: 0.269 s
% 5.76/1.24  % (27204)Instructions burned: 93 (million)
% 5.76/1.24  % (27204)------------------------------
% 5.76/1.24  % (27204)------------------------------
% 5.76/1.24  % (27211)dis+1003_1:128_atotf=0.3:bce=on:newcnf=on:urr=on:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/86Mi)
% 5.76/1.24  % (27224)lrs+11_1:2_aac=none:acc=on:alpa=true:spb=units:i=288:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/288Mi)
% 6.03/1.25  % (27212)Refutation not found, incomplete strategy% (27212)------------------------------
% 6.03/1.25  % (27212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.03/1.25  % (27212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.03/1.25  % (27212)Termination reason: Refutation not found, incomplete strategy
% 6.03/1.25  
% 6.03/1.25  % (27212)Memory used [KB]: 7419
% 6.03/1.25  % (27212)Time elapsed: 0.234 s
% 6.03/1.25  % (27212)Instructions burned: 44 (million)
% 6.03/1.25  % (27212)------------------------------
% 6.03/1.25  % (27212)------------------------------
% 6.03/1.26  % (27214)lrs+10_1:64_plsq=on:plsqr=32,1:sac=on:sos=all:ss=axioms:st=5.0:i=118:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/118Mi)
% 6.03/1.26  % (27218)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=390:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/390Mi)
% 6.03/1.28  % (27214)Refutation not found, incomplete strategy% (27214)------------------------------
% 6.03/1.28  % (27214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.03/1.28  % (27214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.03/1.28  % (27214)Termination reason: Refutation not found, incomplete strategy
% 6.03/1.28  
% 6.03/1.28  % (27214)Memory used [KB]: 6268
% 6.03/1.28  % (27214)Time elapsed: 0.004 s
% 6.03/1.28  % (27214)Instructions burned: 2 (million)
% 6.03/1.28  % (27214)------------------------------
% 6.03/1.28  % (27214)------------------------------
% 6.03/1.28  % (27216)lrs+1011_1:4_av=off:bd=off:drc=off:ins=1:nwc=2.0:spb=goal:tgt=full:to=lpo:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/113Mi)
% 6.03/1.28  % (27218)Refutation not found, incomplete strategy% (27218)------------------------------
% 6.03/1.28  % (27218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.03/1.28  % (27218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.03/1.28  % (27218)Termination reason: Refutation not found, incomplete strategy
% 6.03/1.28  
% 6.03/1.28  % (27218)Memory used [KB]: 6268
% 6.03/1.28  % (27218)Time elapsed: 0.004 s
% 6.03/1.28  % (27218)Instructions burned: 2 (million)
% 6.03/1.28  % (27218)------------------------------
% 6.03/1.28  % (27218)------------------------------
% 6.03/1.29  % (27220)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=357:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/357Mi)
% 6.03/1.29  % (27230)dis+1002_1:1_av=off:dr=on:ep=RS:mep=off:newcnf=on:nm=2:nwc=10.0:s2a=on:slsq=on:slsqc=0:slsqr=1,8:i=377:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/377Mi)
% 6.03/1.30  % (27222)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=424:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/424Mi)
% 6.03/1.30  % (27162)Instruction limit reached!
% 6.03/1.30  % (27162)------------------------------
% 6.03/1.30  % (27162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.03/1.30  % (27162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.03/1.30  % (27162)Termination reason: Unknown
% 6.03/1.30  % (27162)Termination phase: Saturation
% 6.03/1.30  
% 6.03/1.30  % (27162)Memory used [KB]: 3454
% 6.03/1.30  % (27162)Time elapsed: 0.499 s
% 6.03/1.30  % (27162)Instructions burned: 108 (million)
% 6.03/1.30  % (27162)------------------------------
% 6.03/1.30  % (27162)------------------------------
% 6.03/1.30  % (27223)Refutation not found, incomplete strategy% (27223)------------------------------
% 6.03/1.30  % (27223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.03/1.30  % (27223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.03/1.30  % (27223)Termination reason: Refutation not found, incomplete strategy
% 6.03/1.30  
% 6.03/1.30  % (27223)Memory used [KB]: 7419
% 6.03/1.30  % (27223)Time elapsed: 0.022 s
% 6.03/1.30  % (27223)Instructions burned: 30 (million)
% 6.03/1.30  % (27223)------------------------------
% 6.03/1.30  % (27223)------------------------------
% 6.03/1.31  % (27221)lrs+10_1:32_abs=on:br=off:urr=ec_only:i=366:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/366Mi)
% 6.03/1.31  % (27233)dis+1002_1:1_nm=0:nwc=2.0:s2a=on:spb=goal_then_units:to=lpo:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/45Mi)
% 6.03/1.31  % (27235)lrs+1011_1:1_aac=none:fs=off:fsr=off:i=136:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/136Mi)
% 6.03/1.32  % (27234)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/23Mi)
% 6.03/1.33  % (27225)lrs+10_1:1_sd=1:sos=on:spb=goal_then_units:ss=included:to=lpo:i=1000:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/1000Mi)
% 6.03/1.34  % (27215)Instruction limit reached!
% 6.03/1.34  % (27215)------------------------------
% 6.03/1.34  % (27215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.03/1.34  % (27215)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.03/1.34  % (27215)Termination reason: Unknown
% 6.03/1.34  % (27215)Termination phase: Saturation
% 6.03/1.34  
% 6.03/1.34  % (27215)Memory used [KB]: 12537
% 6.03/1.34  % (27215)Time elapsed: 0.025 s
% 6.03/1.34  % (27215)Instructions burned: 34 (million)
% 6.03/1.34  % (27215)------------------------------
% 6.03/1.34  % (27215)------------------------------
% 6.03/1.34  % (27228)lrs+10_5:1_bce=on:bd=off:bsr=unit_only:s2a=on:sos=all:sp=reverse_arity:ss=axioms:st=2.0:to=lpo:urr=on:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/35Mi)
% 6.38/1.36  % (27195)Instruction limit reached!
% 6.38/1.36  % (27195)------------------------------
% 6.38/1.36  % (27195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.38/1.36  % (27195)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.38/1.36  % (27195)Termination reason: Unknown
% 6.38/1.36  % (27195)Termination phase: Saturation
% 6.38/1.36  
% 6.38/1.36  % (27195)Memory used [KB]: 8187
% 6.38/1.36  % (27195)Time elapsed: 0.472 s
% 6.38/1.36  % (27195)Instructions burned: 138 (million)
% 6.38/1.36  % (27195)------------------------------
% 6.38/1.36  % (27195)------------------------------
% 6.38/1.36  % (27227)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/149Mi)
% 6.38/1.36  % (27227)Refutation not found, incomplete strategy% (27227)------------------------------
% 6.38/1.36  % (27227)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.38/1.36  % (27227)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.38/1.36  % (27227)Termination reason: Refutation not found, incomplete strategy
% 6.38/1.36  
% 6.38/1.36  % (27227)Memory used [KB]: 6268
% 6.38/1.36  % (27227)Time elapsed: 0.004 s
% 6.38/1.36  % (27227)Instructions burned: 2 (million)
% 6.38/1.36  % (27227)------------------------------
% 6.38/1.36  % (27227)------------------------------
% 6.38/1.36  % (27228)Refutation not found, incomplete strategy% (27228)------------------------------
% 6.38/1.36  % (27228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.38/1.36  % (27228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.38/1.36  % (27228)Termination reason: Refutation not found, incomplete strategy
% 6.38/1.36  
% 6.38/1.36  % (27228)Memory used [KB]: 6268
% 6.38/1.36  % (27228)Time elapsed: 0.004 s
% 6.38/1.36  % (27228)Instructions burned: 4 (million)
% 6.38/1.36  % (27228)------------------------------
% 6.38/1.36  % (27228)------------------------------
% 6.38/1.37  % (27238)lrs+10_1:4_drc=off:sos=on:to=lpo:i=102:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/102Mi)
% 6.38/1.37  % (27234)Instruction limit reached!
% 6.38/1.37  % (27234)------------------------------
% 6.38/1.37  % (27234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.38/1.37  % (27234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.38/1.37  % (27234)Termination reason: Unknown
% 6.38/1.37  % (27234)Termination phase: Property scanning
% 6.38/1.37  
% 6.38/1.37  % (27234)Memory used [KB]: 2558
% 6.38/1.37  % (27234)Time elapsed: 0.015 s
% 6.38/1.37  % (27234)Instructions burned: 23 (million)
% 6.38/1.37  % (27234)------------------------------
% 6.38/1.37  % (27234)------------------------------
% 6.38/1.37  % (27236)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=91:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/91Mi)
% 6.38/1.39  % (27232)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=300:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/300Mi)
% 6.63/1.40  % (27230)Refutation not found, incomplete strategy% (27230)------------------------------
% 6.63/1.40  % (27230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.63/1.40  % (27230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.63/1.40  % (27230)Termination reason: Refutation not found, incomplete strategy
% 6.63/1.40  
% 6.63/1.40  % (27230)Memory used [KB]: 2686
% 6.63/1.40  % (27230)Time elapsed: 0.245 s
% 6.63/1.40  % (27230)Instructions burned: 39 (million)
% 6.63/1.40  % (27230)------------------------------
% 6.63/1.40  % (27230)------------------------------
% 6.63/1.41  % (27233)Instruction limit reached!
% 6.63/1.41  % (27233)------------------------------
% 6.63/1.41  % (27233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.63/1.41  % (27233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.63/1.41  % (27233)Termination reason: Unknown
% 6.63/1.41  % (27233)Termination phase: Saturation
% 6.63/1.41  
% 6.63/1.41  % (27233)Memory used [KB]: 7419
% 6.63/1.41  % (27233)Time elapsed: 0.254 s
% 6.63/1.41  % (27233)Instructions burned: 46 (million)
% 6.63/1.41  % (27233)------------------------------
% 6.63/1.41  % (27233)------------------------------
% 6.63/1.42  % (27244)dis+1010_1:3_av=off:bd=off:bs=on:bsr=on:cond=on:gsp=on:slsq=on:slsqc=1:slsqr=1,4:uwa=all:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/68Mi)
% 6.63/1.42  % (27238)Refutation not found, incomplete strategy% (27238)------------------------------
% 6.63/1.42  % (27238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.63/1.42  % (27238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.63/1.42  % (27238)Termination reason: Refutation not found, incomplete strategy
% 6.63/1.42  
% 6.63/1.42  % (27238)Memory used [KB]: 7675
% 6.63/1.42  % (27238)Time elapsed: 0.027 s
% 6.63/1.42  % (27238)Instructions burned: 36 (million)
% 6.63/1.42  % (27238)------------------------------
% 6.63/1.42  % (27238)------------------------------
% 6.63/1.43  % (27232)Refutation not found, incomplete strategy% (27232)------------------------------
% 6.63/1.43  % (27232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.63/1.43  % (27232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.63/1.43  % (27232)Termination reason: Refutation not found, incomplete strategy
% 6.63/1.43  
% 6.63/1.43  % (27232)Memory used [KB]: 7419
% 6.63/1.43  % (27232)Time elapsed: 0.021 s
% 6.63/1.43  % (27232)Instructions burned: 28 (million)
% 6.63/1.43  % (27232)------------------------------
% 6.63/1.43  % (27232)------------------------------
% 6.63/1.43  % (27239)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=234:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/234Mi)
% 6.63/1.43  % (27246)dis+10_1:1_ep=R:fde=none:fsr=off:slsq=on:slsqc=1:slsql=off:slsqr=1,4:ss=axioms:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/248Mi)
% 6.63/1.43  % (27246)Refutation not found, incomplete strategy% (27246)------------------------------
% 6.63/1.43  % (27246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.63/1.43  % (27246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.63/1.43  % (27246)Termination reason: Refutation not found, incomplete strategy
% 6.63/1.43  
% 6.63/1.43  % (27246)Memory used [KB]: 6268
% 6.63/1.43  % (27246)Time elapsed: 0.003 s
% 6.63/1.43  % (27246)Instructions burned: 2 (million)
% 6.63/1.43  % (27246)------------------------------
% 6.63/1.43  % (27246)------------------------------
% 6.63/1.43  % (27225)Refutation not found, incomplete strategy% (27225)------------------------------
% 6.63/1.43  % (27225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.63/1.43  % (27225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.63/1.43  % (27225)Termination reason: Refutation not found, incomplete strategy
% 6.63/1.43  
% 6.63/1.43  % (27225)Memory used [KB]: 7803
% 6.63/1.43  % (27225)Time elapsed: 0.030 s
% 6.63/1.43  % (27225)Instructions burned: 38 (million)
% 6.63/1.43  % (27225)------------------------------
% 6.63/1.43  % (27225)------------------------------
% 7.12/1.45  % (27241)dis+1002_1:2_er=filter:fde=unused:nwc=3.0:sac=on:sp=frequency:ss=included:to=lpo:i=246:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/246Mi)
% 7.12/1.46  % (27243)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/290Mi)
% 7.12/1.46  % (27211)Instruction limit reached!
% 7.12/1.46  % (27211)------------------------------
% 7.12/1.46  % (27211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.12/1.46  % (27211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.12/1.46  % (27211)Termination reason: Unknown
% 7.12/1.46  % (27211)Termination phase: Saturation
% 7.12/1.46  
% 7.12/1.46  % (27211)Memory used [KB]: 7931
% 7.12/1.46  % (27211)Time elapsed: 0.447 s
% 7.12/1.46  % (27211)Instructions burned: 86 (million)
% 7.12/1.46  % (27211)------------------------------
% 7.12/1.46  % (27211)------------------------------
% 7.28/1.50  % (27263)dis+4_1:64_av=off:bce=on:flr=on:lcm=reverse:sfv=off:sos=all:i=117:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/117Mi)
% 7.28/1.52  % (27263)Refutation not found, incomplete strategy% (27263)------------------------------
% 7.28/1.52  % (27263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.28/1.52  % (27263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.28/1.52  % (27263)Termination reason: Refutation not found, incomplete strategy
% 7.28/1.52  
% 7.28/1.52  % (27263)Memory used [KB]: 3198
% 7.28/1.52  % (27263)Time elapsed: 0.024 s
% 7.28/1.52  % (27263)Instructions burned: 38 (million)
% 7.28/1.52  % (27263)------------------------------
% 7.28/1.52  % (27263)------------------------------
% 7.28/1.54  % (27244)Instruction limit reached!
% 7.28/1.54  % (27244)------------------------------
% 7.28/1.54  % (27244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.28/1.54  % (27244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.28/1.54  % (27244)Termination reason: Unknown
% 7.28/1.54  % (27244)Termination phase: Saturation
% 7.28/1.54  
% 7.28/1.54  % (27244)Memory used [KB]: 3837
% 7.28/1.54  % (27244)Time elapsed: 0.225 s
% 7.28/1.54  % (27244)Instructions burned: 68 (million)
% 7.28/1.54  % (27244)------------------------------
% 7.28/1.54  % (27244)------------------------------
% 7.28/1.54  % (27239)Refutation not found, incomplete strategy% (27239)------------------------------
% 7.28/1.54  % (27239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.28/1.54  % (27239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.28/1.54  % (27239)Termination reason: Refutation not found, incomplete strategy
% 7.28/1.54  
% 7.28/1.54  % (27239)Memory used [KB]: 8571
% 7.28/1.54  % (27239)Time elapsed: 0.031 s
% 7.28/1.54  % (27239)Instructions burned: 39 (million)
% 7.28/1.54  % (27239)------------------------------
% 7.28/1.54  % (27239)------------------------------
% 7.28/1.54  % (27248)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=997:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/997Mi)
% 7.28/1.54  % (27216)Instruction limit reached!
% 7.28/1.54  % (27216)------------------------------
% 7.28/1.54  % (27216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.28/1.54  % (27216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.28/1.54  % (27216)Termination reason: Unknown
% 7.28/1.54  % (27216)Termination phase: Saturation
% 7.28/1.54  
% 7.28/1.54  % (27216)Memory used [KB]: 3198
% 7.28/1.54  % (27216)Time elapsed: 0.506 s
% 7.28/1.54  % (27216)Instructions burned: 114 (million)
% 7.28/1.54  % (27216)------------------------------
% 7.28/1.54  % (27216)------------------------------
% 7.58/1.56  % (27251)ott+4_8:1_acc=on:fsr=off:lcm=reverse:lma=on:sd=2:sos=all:ss=axioms:st=1.5:i=121:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/121Mi)
% 7.58/1.56  % (27247)lrs+1011_1:5_add=large:afp=4000:anc=none:irw=on:lma=on:nm=64:sac=on:sd=3:sos=on:sp=reverse_arity:ss=axioms:st=2.0:stl=30:updr=off:urr=on:i=126:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/126Mi)
% 7.58/1.56  % (27251)Refutation not found, incomplete strategy% (27251)------------------------------
% 7.58/1.56  % (27251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.58/1.56  % (27251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.58/1.56  % (27251)Termination reason: Refutation not found, incomplete strategy
% 7.58/1.56  
% 7.58/1.56  % (27251)Memory used [KB]: 6268
% 7.58/1.56  % (27251)Time elapsed: 0.004 s
% 7.58/1.56  % (27251)Instructions burned: 2 (million)
% 7.58/1.56  % (27251)------------------------------
% 7.58/1.56  % (27251)------------------------------
% 7.58/1.56  % (27248)Refutation not found, incomplete strategy% (27248)------------------------------
% 7.58/1.56  % (27248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.58/1.56  % (27248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.58/1.56  % (27248)Termination reason: Refutation not found, incomplete strategy
% 7.58/1.56  
% 7.58/1.56  % (27248)Memory used [KB]: 6268
% 7.58/1.56  % (27248)Time elapsed: 0.003 s
% 7.58/1.56  % (27248)Instructions burned: 2 (million)
% 7.58/1.56  % (27248)------------------------------
% 7.58/1.56  % (27248)------------------------------
% 7.58/1.57  % (27243)Refutation not found, incomplete strategy% (27243)------------------------------
% 7.58/1.57  % (27243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.58/1.57  % (27243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.58/1.57  % (27243)Termination reason: Refutation not found, incomplete strategy
% 7.58/1.57  
% 7.58/1.57  % (27243)Memory used [KB]: 7419
% 7.58/1.57  % (27243)Time elapsed: 0.276 s
% 7.58/1.57  % (27243)Instructions burned: 45 (million)
% 7.58/1.57  % (27243)------------------------------
% 7.58/1.57  % (27243)------------------------------
% 7.58/1.57  % (27236)Instruction limit reached!
% 7.58/1.57  % (27236)------------------------------
% 7.58/1.57  % (27236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.58/1.57  % (27236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.58/1.57  % (27236)Termination reason: Unknown
% 7.58/1.57  % (27236)Termination phase: Saturation
% 7.58/1.57  
% 7.58/1.57  % (27236)Memory used [KB]: 7803
% 7.58/1.57  % (27236)Time elapsed: 0.065 s
% 7.58/1.57  % (27236)Instructions burned: 92 (million)
% 7.58/1.57  % (27236)------------------------------
% 7.58/1.57  % (27236)------------------------------
% 7.58/1.58  % (27247)Refutation not found, incomplete strategy% (27247)------------------------------
% 7.58/1.58  % (27247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.58/1.58  % (27247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.58/1.58  % (27247)Termination reason: Refutation not found, incomplete strategy
% 7.58/1.58  
% 7.58/1.58  % (27247)Memory used [KB]: 6268
% 7.58/1.58  % (27247)Time elapsed: 0.003 s
% 7.58/1.58  % (27247)Instructions burned: 2 (million)
% 7.58/1.58  % (27247)------------------------------
% 7.58/1.58  % (27247)------------------------------
% 7.58/1.58  % (27265)lrs+10_1:1_bsr=on:lma=on:sac=on:sos=all:spb=units:to=lpo:i=115:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/115Mi)
% 7.58/1.58  % (27250)lrs+1_4:1_cond=fast:fde=unused:lcm=predicate:nm=4:s2a=on:sd=3:sos=on:ss=axioms:st=2.0:i=139:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/139Mi)
% 7.58/1.58  % (27250)Refutation not found, incomplete strategy% (27250)------------------------------
% 7.58/1.58  % (27250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.58/1.58  % (27250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.58/1.58  % (27250)Termination reason: Refutation not found, incomplete strategy
% 7.58/1.58  
% 7.58/1.58  % (27250)Memory used [KB]: 6268
% 7.58/1.58  % (27250)Time elapsed: 0.003 s
% 7.58/1.58  % (27250)Instructions burned: 3 (million)
% 7.58/1.58  % (27250)------------------------------
% 7.58/1.58  % (27250)------------------------------
% 7.58/1.59  % (27260)dis+11_1:17_bce=on:bsr=unit_only:drc=off:flr=on:gs=on:sp=frequency:spb=units:to=lpo:i=1287:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/1287Mi)
% 7.58/1.59  % (27235)Instruction limit reached!
% 7.58/1.59  % (27235)------------------------------
% 7.58/1.59  % (27235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.58/1.59  % (27235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.58/1.59  % (27235)Termination reason: Unknown
% 7.58/1.59  % (27235)Termination phase: Saturation
% 7.58/1.59  
% 7.58/1.59  % (27235)Memory used [KB]: 7931
% 7.58/1.59  % (27235)Time elapsed: 0.365 s
% 7.58/1.59  % (27235)Instructions burned: 136 (million)
% 7.58/1.59  % (27235)------------------------------
% 7.58/1.59  % (27235)------------------------------
% 7.58/1.59  % (27253)lrs+1011_1:1_nwc=5.0:sd=4:ss=included:st=5.0:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/43Mi)
% 7.58/1.61  % (27256)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=915:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/915Mi)
% 7.58/1.61  % (27265)Refutation not found, incomplete strategy% (27265)------------------------------
% 7.58/1.61  % (27265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.58/1.61  % (27265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.58/1.61  % (27265)Termination reason: Refutation not found, incomplete strategy
% 7.58/1.61  
% 7.58/1.61  % (27265)Memory used [KB]: 7803
% 7.58/1.61  % (27265)Time elapsed: 0.026 s
% 7.58/1.61  % (27265)Instructions burned: 38 (million)
% 7.58/1.61  % (27265)------------------------------
% 7.58/1.61  % (27265)------------------------------
% 7.58/1.61  % (27256)Refutation not found, incomplete strategy% (27256)------------------------------
% 7.58/1.61  % (27256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.58/1.61  % (27256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.58/1.61  % (27256)Termination reason: Refutation not found, incomplete strategy
% 7.58/1.61  
% 7.58/1.61  % (27256)Memory used [KB]: 6268
% 7.58/1.61  % (27256)Time elapsed: 0.003 s
% 7.58/1.61  % (27256)Instructions burned: 2 (million)
% 7.58/1.61  % (27256)------------------------------
% 7.58/1.61  % (27256)------------------------------
% 7.58/1.62  % (27262)dis+1011_1:1_bd=off:fd=preordered:fde=unused:sfv=off:sos=on:sp=reverse_frequency:spb=goal:to=lpo:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/32Mi)
% 7.58/1.63  % (27252)lrs+2_1:1_lwlo=on:nwc=10.0:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/92Mi)
% 7.58/1.63  % (27257)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=437:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/437Mi)
% 7.58/1.64  % (27259)lrs+10_1:1_aac=none:lcm=reverse:nwc=10.0:sos=on:ss=axioms:st=3.0:i=206:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/206Mi)
% 7.58/1.64  % (27259)Refutation not found, incomplete strategy% (27259)------------------------------
% 7.58/1.64  % (27259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.58/1.64  % (27259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.58/1.64  % (27259)Termination reason: Refutation not found, incomplete strategy
% 7.58/1.64  
% 7.58/1.64  % (27259)Memory used [KB]: 6268
% 7.58/1.64  % (27259)Time elapsed: 0.004 s
% 7.58/1.64  % (27259)Instructions burned: 2 (million)
% 7.58/1.64  % (27259)------------------------------
% 7.58/1.64  % (27259)------------------------------
% 8.51/1.65  % (27261)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=1501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/1501Mi)
% 8.51/1.65  % (27262)Refutation not found, incomplete strategy% (27262)------------------------------
% 8.51/1.65  % (27262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.51/1.65  % (27262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.51/1.65  % (27262)Termination reason: Refutation not found, incomplete strategy
% 8.51/1.65  
% 8.51/1.65  % (27262)Memory used [KB]: 7419
% 8.51/1.65  % (27262)Time elapsed: 0.021 s
% 8.51/1.65  % (27262)Instructions burned: 30 (million)
% 8.51/1.65  % (27262)------------------------------
% 8.51/1.65  % (27262)------------------------------
% 8.51/1.66  % (27254)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/50Mi)
% 8.51/1.66  % (27255)lrs+10_1:1_bd=preordered:drc=off:rp=on:sp=frequency:to=lpo:urr=on:i=9:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9Mi)
% 8.51/1.66  % (27253)Instruction limit reached!
% 8.51/1.66  % (27253)------------------------------
% 8.51/1.66  % (27253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.51/1.66  % (27253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.51/1.66  % (27253)Termination reason: Unknown
% 8.51/1.66  % (27253)Termination phase: Saturation
% 8.51/1.66  
% 8.51/1.66  % (27253)Memory used [KB]: 7419
% 8.51/1.66  % (27253)Time elapsed: 0.028 s
% 8.51/1.66  % (27253)Instructions burned: 44 (million)
% 8.51/1.66  % (27253)------------------------------
% 8.51/1.66  % (27253)------------------------------
% 8.51/1.67  % (27261)Refutation not found, incomplete strategy% (27261)------------------------------
% 8.51/1.67  % (27261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.51/1.67  % (27261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.51/1.67  % (27261)Termination reason: Refutation not found, incomplete strategy
% 8.51/1.67  
% 8.51/1.67  % (27261)Memory used [KB]: 6268
% 8.51/1.67  % (27261)Time elapsed: 0.004 s
% 8.51/1.67  % (27261)Instructions burned: 3 (million)
% 8.51/1.67  % (27261)------------------------------
% 8.51/1.67  % (27261)------------------------------
% 8.51/1.68  % (27255)Instruction limit reached!
% 8.51/1.68  % (27255)------------------------------
% 8.51/1.68  % (27255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.51/1.68  % (27255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.51/1.68  % (27255)Termination reason: Unknown
% 8.51/1.68  % (27255)Termination phase: Preprocessing 3
% 8.51/1.68  
% 8.51/1.68  % (27255)Memory used [KB]: 2174
% 8.51/1.68  % (27255)Time elapsed: 0.008 s
% 8.51/1.68  % (27255)Instructions burned: 10 (million)
% 8.51/1.68  % (27255)------------------------------
% 8.51/1.68  % (27255)------------------------------
% 8.51/1.69  % (27264)lrs+11_1:1_bd=off:erd=off:plsq=on:plsqr=32,1:sfv=off:sos=all:i=283:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/283Mi)
% 9.61/1.73  % (27257)Refutation not found, incomplete strategy% (27257)------------------------------
% 9.61/1.73  % (27257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.61/1.73  % (27257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.61/1.73  % (27257)Termination reason: Refutation not found, incomplete strategy
% 9.61/1.73  
% 9.61/1.73  % (27257)Memory used [KB]: 7803
% 9.61/1.73  % (27257)Time elapsed: 0.031 s
% 9.61/1.73  % (27257)Instructions burned: 40 (million)
% 9.61/1.73  % (27257)------------------------------
% 9.61/1.73  % (27257)------------------------------
% 9.61/1.73  % (27267)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/93Mi)
% 9.61/1.73  % (27254)Refutation not found, incomplete strategy% (27254)------------------------------
% 9.61/1.73  % (27254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.61/1.73  % (27254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.61/1.73  % (27254)Termination reason: Refutation not found, incomplete strategy
% 9.61/1.73  
% 9.61/1.73  % (27254)Memory used [KB]: 7291
% 9.61/1.73  % (27254)Time elapsed: 0.019 s
% 9.61/1.73  % (27254)Instructions burned: 28 (million)
% 9.61/1.73  % (27254)------------------------------
% 9.61/1.73  % (27254)------------------------------
% 9.61/1.74  % (27278)lrs+1011_1:1_sd=1:ss=axioms:st=5.0:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/103Mi)
% 9.61/1.74  % (27278)Refutation not found, incomplete strategy% (27278)------------------------------
% 9.61/1.74  % (27278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.61/1.74  % (27278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.61/1.74  % (27278)Termination reason: Refutation not found, incomplete strategy
% 9.61/1.74  
% 9.61/1.74  % (27278)Memory used [KB]: 6268
% 9.61/1.74  % (27278)Time elapsed: 0.002 s
% 9.61/1.74  % (27278)Instructions burned: 2 (million)
% 9.61/1.74  % (27278)------------------------------
% 9.61/1.74  % (27278)------------------------------
% 9.61/1.75  % (27210)Instruction limit reached!
% 9.61/1.75  % (27210)------------------------------
% 9.61/1.75  % (27210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.61/1.75  % (27210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.61/1.75  % (27210)Termination reason: Unknown
% 9.61/1.75  % (27210)Termination phase: Saturation
% 9.61/1.75  
% 9.61/1.75  % (27210)Memory used [KB]: 3582
% 9.61/1.75  % (27210)Time elapsed: 0.696 s
% 9.61/1.75  % (27210)Instructions burned: 222 (million)
% 9.61/1.75  % (27210)------------------------------
% 9.61/1.75  % (27210)------------------------------
% 9.61/1.76  % (27264)Refutation not found, incomplete strategy% (27264)------------------------------
% 9.61/1.76  % (27264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.61/1.76  % (27264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.61/1.76  % (27264)Termination reason: Refutation not found, incomplete strategy
% 9.61/1.76  
% 9.61/1.76  % (27264)Memory used [KB]: 7419
% 9.61/1.76  % (27264)Time elapsed: 0.022 s
% 9.61/1.76  % (27264)Instructions burned: 30 (million)
% 9.61/1.76  % (27264)------------------------------
% 9.61/1.76  % (27264)------------------------------
% 9.99/1.77  % (27268)lrs+1_1:16_av=off:fd=off:newcnf=on:nm=10:sims=off:sos=on:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/92Mi)
% 9.99/1.77  % (27271)lrs+1011_1:1_bd=preordered:drc=off:fd=preordered:fsr=off:plsq=on:i=94:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/94Mi)
% 9.99/1.79  % (27224)Instruction limit reached!
% 9.99/1.79  % (27224)------------------------------
% 9.99/1.79  % (27224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.99/1.79  % (27224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.99/1.79  % (27224)Termination reason: Unknown
% 9.99/1.79  % (27224)Termination phase: Saturation
% 9.99/1.79  
% 9.99/1.79  % (27224)Memory used [KB]: 9466
% 9.99/1.79  % (27224)Time elapsed: 0.157 s
% 9.99/1.79  % (27224)Instructions burned: 289 (million)
% 9.99/1.79  % (27224)------------------------------
% 9.99/1.79  % (27224)------------------------------
% 10.20/1.81  % (27269)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=80:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/80Mi)
% 10.35/1.85  % (27275)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=106:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/106Mi)
% 10.35/1.85  % (27274)dis+1011_1:64_av=off:bce=on:bd=off:bsd=on:cond=on:flr=on:foolp=on:nwc=2.0:plsq=on:plsqc=1:plsqr=37,6:s2agt=32:slsq=on:slsqc=1:slsql=off:slsqr=17,16:tgt=full:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/73Mi)
% 10.35/1.86  % (27288)lrs+1011_1:5_av=off:awrs=decay:awrsf=97:bce=on:bsr=on:drc=off:flr=on:gs=on:ins=3:lwlo=on:newcnf=on:nm=0:plsq=on:plsqr=4437,256:s2a=on:s2at=4.0:s2pl=no:sims=off:skr=on:slsq=on:slsqc=0:slsqr=31,16:sos=all:sp=frequency:updr=off:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/176Mi)
% 10.35/1.86  % (27272)lrs+30_1:3_aac=none:abs=on:avsq=on:avsql=on:avsqr=1,16:er=filter:fde=none:fsr=off:kws=inv_frequency:nwc=5.0:suph=off:i=285:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/285Mi)
% 10.35/1.87  % (27270)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=251:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/251Mi)
% 10.35/1.87  % (27285)dis+1002_1:5_acc=on:afp=1010:fsr=off:gsp=on:nm=10:sac=on:sos=on:sp=unary_first:urr=ec_only:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/177Mi)
% 10.35/1.88  % (27267)Instruction limit reached!
% 10.35/1.88  % (27267)------------------------------
% 10.35/1.88  % (27267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.35/1.88  % (27267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.35/1.88  % (27267)Termination reason: Unknown
% 10.35/1.88  % (27267)Termination phase: Saturation
% 10.35/1.88  
% 10.35/1.88  % (27267)Memory used [KB]: 7803
% 10.35/1.88  % (27267)Time elapsed: 0.062 s
% 10.35/1.88  % (27267)Instructions burned: 93 (million)
% 10.35/1.88  % (27267)------------------------------
% 10.35/1.88  % (27267)------------------------------
% 10.35/1.88  % (27252)Instruction limit reached!
% 10.35/1.88  % (27252)------------------------------
% 10.35/1.88  % (27252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.35/1.88  % (27252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.35/1.88  % (27252)Termination reason: Unknown
% 10.35/1.88  % (27252)Termination phase: Saturation
% 10.35/1.88  
% 10.35/1.88  % (27252)Memory used [KB]: 7803
% 10.35/1.88  % (27252)Time elapsed: 0.063 s
% 10.35/1.88  % (27252)Instructions burned: 92 (million)
% 10.35/1.88  % (27252)------------------------------
% 10.35/1.88  % (27252)------------------------------
% 10.35/1.88  % (27277)dis+1002_1:1_ep=R:sd=2:sos=on:ss=axioms:i=1488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/1488Mi)
% 10.35/1.88  % (27273)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=1486:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/1486Mi)
% 10.35/1.89  % (27277)Refutation not found, incomplete strategy% (27277)------------------------------
% 10.35/1.89  % (27277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.35/1.89  % (27277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.35/1.89  % (27277)Termination reason: Refutation not found, incomplete strategy
% 10.35/1.89  
% 10.35/1.89  % (27277)Memory used [KB]: 6268
% 10.35/1.89  % (27277)Time elapsed: 0.002 s
% 10.35/1.89  % (27277)Instructions burned: 2 (million)
% 10.35/1.89  % (27277)------------------------------
% 10.35/1.89  % (27277)------------------------------
% 10.35/1.89  % (27279)lrs+1011_3:1_acc=model:fsr=off:gsp=on:sd=1:ss=axioms:st=5.0:urr=on:i=376:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/376Mi)
% 10.35/1.89  % (27268)Refutation not found, incomplete strategy% (27268)------------------------------
% 10.35/1.89  % (27268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.35/1.89  % (27268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.35/1.89  % (27268)Termination reason: Refutation not found, incomplete strategy
% 10.35/1.89  
% 10.35/1.89  % (27268)Memory used [KB]: 3070
% 10.35/1.89  % (27268)Time elapsed: 0.028 s
% 10.35/1.89  % (27268)Instructions burned: 35 (million)
% 10.35/1.89  % (27268)------------------------------
% 10.35/1.89  % (27268)------------------------------
% 10.35/1.90  % (27288)Refutation not found, incomplete strategy% (27288)------------------------------
% 10.35/1.90  % (27288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.35/1.90  % (27288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.35/1.90  % (27288)Termination reason: Refutation not found, incomplete strategy
% 10.35/1.90  
% 10.35/1.90  % (27288)Memory used [KB]: 7803
% 10.35/1.90  % (27288)Time elapsed: 0.026 s
% 10.35/1.90  % (27288)Instructions burned: 38 (million)
% 10.35/1.90  % (27288)------------------------------
% 10.35/1.90  % (27288)------------------------------
% 10.35/1.90  % (27284)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=1498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/1498Mi)
% 10.35/1.90  % (27284)Refutation not found, incomplete strategy% (27284)------------------------------
% 10.35/1.90  % (27284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.35/1.90  % (27284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.35/1.90  % (27284)Termination reason: Refutation not found, incomplete strategy
% 10.35/1.90  
% 10.35/1.90  % (27284)Memory used [KB]: 6268
% 10.35/1.90  % (27284)Time elapsed: 0.002 s
% 10.35/1.90  % (27284)Instructions burned: 2 (million)
% 10.35/1.90  % (27284)------------------------------
% 10.35/1.90  % (27284)------------------------------
% 10.35/1.91  % (27279)Refutation not found, incomplete strategy% (27279)------------------------------
% 10.35/1.91  % (27279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.35/1.91  % (27279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.35/1.91  % (27279)Termination reason: Refutation not found, incomplete strategy
% 10.35/1.91  
% 10.35/1.91  % (27279)Memory used [KB]: 6268
% 10.35/1.91  % (27279)Time elapsed: 0.004 s
% 10.35/1.91  % (27279)Instructions burned: 3 (million)
% 10.35/1.91  % (27279)------------------------------
% 10.35/1.91  % (27279)------------------------------
% 10.35/1.93  % (27275)Refutation not found, incomplete strategy% (27275)------------------------------
% 10.35/1.93  % (27275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.35/1.93  % (27275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.35/1.93  % (27275)Termination reason: Refutation not found, incomplete strategy
% 10.35/1.93  
% 10.35/1.93  % (27275)Memory used [KB]: 7547
% 10.35/1.93  % (27275)Time elapsed: 0.025 s
% 10.35/1.93  % (27275)Instructions burned: 32 (million)
% 10.35/1.93  % (27275)------------------------------
% 10.35/1.93  % (27275)------------------------------
% 11.00/1.94  % (27283)ott-3_2:1_acc=on:add=large:anc=none:fde=none:gsp=on:irw=on:nm=0:s2a=on:sd=4:sos=on:ss=axioms:st=1.2:urr=on:i=134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/134Mi)
% 11.00/1.94  % (27285)Refutation not found, incomplete strategy% (27285)------------------------------
% 11.00/1.94  % (27285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.00/1.94  % (27285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.00/1.94  % (27285)Termination reason: Refutation not found, incomplete strategy
% 11.00/1.94  
% 11.00/1.94  % (27285)Memory used [KB]: 7803
% 11.00/1.94  % (27285)Time elapsed: 0.028 s
% 11.00/1.94  % (27285)Instructions burned: 37 (million)
% 11.00/1.94  % (27285)------------------------------
% 11.00/1.94  % (27285)------------------------------
% 11.00/1.94  % (27283)Refutation not found, incomplete strategy% (27283)------------------------------
% 11.00/1.94  % (27283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.00/1.94  % (27283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.00/1.94  % (27283)Termination reason: Refutation not found, incomplete strategy
% 11.00/1.94  
% 11.00/1.94  % (27283)Memory used [KB]: 6268
% 11.00/1.94  % (27283)Time elapsed: 0.004 s
% 11.00/1.94  % (27283)Instructions burned: 2 (million)
% 11.00/1.94  % (27283)------------------------------
% 11.00/1.94  % (27283)------------------------------
% 11.00/1.98  % (27286)fmb+10_1:1_fmbsr=1.2:rp=on:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/82Mi)
% 11.00/1.98  % (27271)Instruction limit reached!
% 11.00/1.98  % (27271)------------------------------
% 11.00/1.98  % (27271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.00/1.98  % (27271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.00/1.98  % (27271)Termination reason: Unknown
% 11.00/1.98  % (27271)Termination phase: Saturation
% 11.00/1.98  
% 11.00/1.98  % (27271)Memory used [KB]: 7803
% 11.00/1.98  % (27271)Time elapsed: 0.061 s
% 11.00/1.98  % (27271)Instructions burned: 95 (million)
% 11.00/1.98  % (27271)------------------------------
% 11.00/1.98  % (27271)------------------------------
% 11.00/1.98  % (27287)lrs+1002_1:1_fde=none:sd=2:sos=on:sp=const_max:ss=axioms:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/274Mi)
% 11.00/1.99  % (27292)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=1735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/1735Mi)
% 11.30/1.99  % (27270)Refutation not found, incomplete strategy% (27270)------------------------------
% 11.30/1.99  % (27270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.30/1.99  % (27270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.30/1.99  % (27270)Termination reason: Refutation not found, incomplete strategy
% 11.30/1.99  
% 11.30/1.99  % (27270)Memory used [KB]: 8571
% 11.30/1.99  % (27270)Time elapsed: 0.031 s
% 11.30/1.99  % (27270)Instructions burned: 38 (million)
% 11.30/1.99  % (27270)------------------------------
% 11.30/1.99  % (27270)------------------------------
% 11.30/2.00  % (27287)Refutation not found, incomplete strategy% (27287)------------------------------
% 11.30/2.00  % (27287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.30/2.00  % (27287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.30/2.00  % (27287)Termination reason: Refutation not found, incomplete strategy
% 11.30/2.00  
% 11.30/2.00  % (27287)Memory used [KB]: 6268
% 11.30/2.00  % (27287)Time elapsed: 0.004 s
% 11.30/2.00  % (27287)Instructions burned: 1 (million)
% 11.30/2.00  % (27287)------------------------------
% 11.30/2.00  % (27287)------------------------------
% 11.30/2.02  % (27282)lrs+10_1:1_sd=1:sos=all:ss=axioms:i=1345:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/1345Mi)
% 11.30/2.02  % (27282)Refutation not found, incomplete strategy% (27282)------------------------------
% 11.30/2.02  % (27282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.30/2.02  % (27282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.30/2.02  % (27282)Termination reason: Refutation not found, incomplete strategy
% 11.30/2.02  
% 11.30/2.02  % (27282)Memory used [KB]: 6268
% 11.30/2.02  % (27282)Time elapsed: 0.003 s
% 11.30/2.02  % (27282)Instructions burned: 2 (million)
% 11.30/2.02  % (27282)------------------------------
% 11.30/2.02  % (27282)------------------------------
% 11.30/2.03  % (27301)dis+1002_1:1_ep=RS:erd=off:sac=on:sos=on:i=2543:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/2543Mi)
% 11.30/2.03  % (27289)dis+1011_1:32_bd=off:fde=unused:plsq=on:plsqc=2:plsqr=175,8:s2a=on:sp=frequency:spb=goal:ss=included:st=2.0:to=lpo:i=669:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/669Mi)
% 11.30/2.04  % (27290)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=156:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/156Mi)
% 11.30/2.05  % (27220)Instruction limit reached!
% 11.30/2.05  % (27220)------------------------------
% 11.30/2.05  % (27220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.30/2.05  % (27220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.30/2.05  % (27220)Termination reason: Unknown
% 11.30/2.05  % (27220)Termination phase: Saturation
% 11.30/2.05  
% 11.30/2.05  % (27220)Memory used [KB]: 3582
% 11.30/2.05  % (27220)Time elapsed: 0.917 s
% 11.30/2.05  % (27220)Instructions burned: 357 (million)
% 11.30/2.05  % (27220)------------------------------
% 11.30/2.05  % (27220)------------------------------
% 11.30/2.05  % (27269)Instruction limit reached!
% 11.30/2.05  % (27269)------------------------------
% 11.30/2.05  % (27269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.30/2.05  % (27269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.30/2.05  % (27269)Termination reason: Unknown
% 11.30/2.05  % (27269)Termination phase: Saturation
% 11.30/2.05  
% 11.30/2.05  % (27269)Memory used [KB]: 7931
% 11.30/2.05  % (27269)Time elapsed: 0.438 s
% 11.30/2.05  % (27269)Instructions burned: 80 (million)
% 11.30/2.05  % (27269)------------------------------
% 11.30/2.05  % (27269)------------------------------
% 11.30/2.06  % (27213)Instruction limit reached!
% 11.30/2.06  % (27213)------------------------------
% 11.30/2.06  % (27213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.30/2.06  % (27213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.30/2.06  % (27213)Termination reason: Unknown
% 11.30/2.06  % (27213)Termination phase: Saturation
% 11.30/2.06  
% 11.30/2.06  % (27213)Memory used [KB]: 9210
% 11.30/2.06  % (27213)Time elapsed: 0.244 s
% 11.30/2.06  % (27213)Instructions burned: 377 (million)
% 11.30/2.06  % (27213)------------------------------
% 11.30/2.06  % (27213)------------------------------
% 11.30/2.06  % (27274)Instruction limit reached!
% 11.30/2.06  % (27274)------------------------------
% 11.30/2.06  % (27274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.30/2.06  % (27274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.30/2.06  % (27274)Termination reason: Unknown
% 11.30/2.06  % (27274)Termination phase: Saturation
% 11.30/2.06  
% 11.30/2.06  % (27274)Memory used [KB]: 2942
% 11.30/2.06  % (27274)Time elapsed: 0.389 s
% 11.30/2.06  % (27274)Instructions burned: 73 (million)
% 11.30/2.06  % (27274)------------------------------
% 11.30/2.06  % (27274)------------------------------
% 11.58/2.06  % (27295)dis+10_1:1_lma=on:sac=on:sos=all:spb=goal_then_units:ss=axioms:to=lpo:i=432:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/432Mi)
% 11.58/2.07  % (27295)Refutation not found, incomplete strategy% (27295)------------------------------
% 11.58/2.07  % (27295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.58/2.07  % (27295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.58/2.07  % (27295)Termination reason: Refutation not found, incomplete strategy
% 11.58/2.07  
% 11.58/2.07  % (27295)Memory used [KB]: 6268
% 11.58/2.07  % (27295)Time elapsed: 0.003 s
% 11.58/2.07  % (27295)Instructions burned: 1 (million)
% 11.58/2.07  % (27295)------------------------------
% 11.58/2.07  % (27295)------------------------------
% 11.65/2.07  % (27301)Refutation not found, incomplete strategy% (27301)------------------------------
% 11.65/2.07  % (27301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.65/2.07  % (27301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.65/2.07  % (27301)Termination reason: Refutation not found, incomplete strategy
% 11.65/2.07  
% 11.65/2.07  % (27301)Memory used [KB]: 7164
% 11.65/2.07  % (27301)Time elapsed: 0.017 s
% 11.65/2.07  % (27301)Instructions burned: 28 (million)
% 11.65/2.07  % (27301)------------------------------
% 11.65/2.07  % (27301)------------------------------
% 11.80/2.11  % (27303)dis+1010_1:1_acc=model:bd=off:ins=1:nwc=5.0:sp=reverse_frequency:to=lpo:i=279:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/279Mi)
% 11.80/2.12  % (27298)lrs+11_1:1_ss=included:st=2.0:i=503:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/503Mi)
% 11.80/2.13  % (27290)Refutation not found, incomplete strategy% (27290)------------------------------
% 11.80/2.13  % (27290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.80/2.13  % (27290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.80/2.13  % (27290)Termination reason: Refutation not found, incomplete strategy
% 11.80/2.13  
% 11.80/2.13  % (27290)Memory used [KB]: 3070
% 11.80/2.13  % (27290)Time elapsed: 0.025 s
% 11.80/2.13  % (27290)Instructions burned: 32 (million)
% 11.80/2.13  % (27290)------------------------------
% 11.80/2.13  % (27290)------------------------------
% 11.95/2.16  % (27286)Instruction limit reached!
% 11.95/2.16  % (27286)------------------------------
% 11.95/2.16  % (27286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.95/2.16  % (27286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.95/2.16  % (27286)Termination reason: Unknown
% 11.95/2.16  % (27286)Termination phase: Finite model building preprocessing
% 11.95/2.16  
% 11.95/2.16  % (27286)Memory used [KB]: 5245
% 11.95/2.16  % (27286)Time elapsed: 0.051 s
% 11.95/2.16  % (27286)Instructions burned: 82 (million)
% 11.95/2.16  % (27286)------------------------------
% 11.95/2.16  % (27286)------------------------------
% 11.95/2.16  % (27297)lrs+10_1:1_sd=1:sos=on:ss=included:i=3303:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/3303Mi)
% 11.95/2.16  % (27294)dis+10_1:1_av=off:ep=RS:lcm=reverse:newcnf=on:s2a=on:s2at=3.0:i=2681:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/2681Mi)
% 11.95/2.17  % (27296)lrs+11_1:1_bsr=unit_only:flr=on:to=lpo:i=440:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/440Mi)
% 11.95/2.18  % (27299)lrs+10_1:1_sos=on:ss=included:st=1.2:urr=on:i=236:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/236Mi)
% 11.95/2.19  % (27300)lrs+11_3:1_br=off:flr=on:sgt=8:ss=axioms:urr=on:i=128:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/128Mi)
% 11.95/2.21  % (27306)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=121:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/121Mi)
% 11.95/2.22  % (27300)Refutation not found, incomplete strategy% (27300)------------------------------
% 11.95/2.22  % (27300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.95/2.22  % (27300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.95/2.22  % (27300)Termination reason: Refutation not found, incomplete strategy
% 11.95/2.22  
% 11.95/2.22  % (27300)Memory used [KB]: 6268
% 11.95/2.22  % (27300)Time elapsed: 0.004 s
% 11.95/2.22  % (27300)Instructions burned: 2 (million)
% 11.95/2.22  % (27300)------------------------------
% 11.95/2.22  % (27300)------------------------------
% 11.95/2.23  % (27272)Refutation not found, incomplete strategy% (27272)------------------------------
% 11.95/2.23  % (27272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.95/2.23  % (27272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.95/2.23  % (27272)Termination reason: Refutation not found, incomplete strategy
% 11.95/2.23  
% 11.95/2.23  % (27272)Memory used [KB]: 7931
% 11.95/2.23  % (27272)Time elapsed: 0.619 s
% 11.95/2.23  % (27272)Instructions burned: 112 (million)
% 11.95/2.23  % (27272)------------------------------
% 11.95/2.23  % (27272)------------------------------
% 13.27/2.25  % (27302)dis+1002_1:1_nm=0:nwc=2.0:s2a=on:spb=goal_then_units:to=lpo:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/45Mi)
% 13.27/2.26  % (27241)Instruction limit reached!
% 13.27/2.26  % (27241)------------------------------
% 13.27/2.26  % (27241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.27/2.26  % (27241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.27/2.26  % (27241)Termination reason: Unknown
% 13.27/2.26  % (27241)Termination phase: Saturation
% 13.27/2.26  
% 13.27/2.26  % (27241)Memory used [KB]: 8955
% 13.27/2.26  % (27241)Time elapsed: 0.959 s
% 13.27/2.26  % (27241)Instructions burned: 247 (million)
% 13.27/2.26  % (27241)------------------------------
% 13.27/2.26  % (27241)------------------------------
% 13.27/2.27  % (27315)ins+10_1:1_br=off:gs=on:igrr=1/32:igs=34:igwr=on:nm=0:sp=const_min:uhcvi=on:updr=off:urr=ec_only:i=201:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/201Mi)
% 13.27/2.28  % (27221)Instruction limit reached!
% 13.27/2.28  % (27221)------------------------------
% 13.27/2.28  % (27221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.27/2.28  % (27221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.27/2.28  % (27221)Termination reason: Unknown
% 13.27/2.28  % (27221)Termination phase: Saturation
% 13.27/2.28  
% 13.27/2.28  % (27221)Memory used [KB]: 9083
% 13.27/2.28  % (27221)Time elapsed: 0.252 s
% 13.27/2.28  % (27221)Instructions burned: 367 (million)
% 13.27/2.28  % (27221)------------------------------
% 13.27/2.28  % (27221)------------------------------
% 13.27/2.28  % (27304)lrs+0_1:1_br=off:drc=off:erd=off:urr=ec_only:i=997:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/997Mi)
% 13.27/2.29  % (27297)Refutation not found, incomplete strategy% (27297)------------------------------
% 13.27/2.29  % (27297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.27/2.29  % (27297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.27/2.29  % (27297)Termination reason: Refutation not found, incomplete strategy
% 13.27/2.29  
% 13.27/2.29  % (27297)Memory used [KB]: 7803
% 13.27/2.29  % (27297)Time elapsed: 0.030 s
% 13.27/2.29  % (27297)Instructions burned: 38 (million)
% 13.27/2.29  % (27297)------------------------------
% 13.27/2.29  % (27297)------------------------------
% 13.27/2.30  % (27299)Refutation not found, incomplete strategy% (27299)------------------------------
% 13.27/2.30  % (27299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.27/2.30  % (27299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.27/2.30  % (27299)Termination reason: Refutation not found, incomplete strategy
% 13.27/2.30  
% 13.27/2.30  % (27299)Memory used [KB]: 7803
% 13.27/2.30  % (27299)Time elapsed: 0.031 s
% 13.27/2.30  % (27299)Instructions burned: 38 (million)
% 13.27/2.30  % (27299)------------------------------
% 13.27/2.30  % (27299)------------------------------
% 13.27/2.30  % (27312)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=3040:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/3040Mi)
% 13.76/2.33  % (27310)lrs+1011_1:1_acc=model:avsq=on:bd=off:flr=on:fsd=on:gs=on:newcnf=on:plsq=on:plsql=on:plsqr=1,32:s2a=on:s2at=3.0:sac=on:skr=on:sos=on:sp=occurrence:updr=off:i=162:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/162Mi)
% 13.76/2.33  % (27307)lrs+10_1:32_br=off:gsp=on:nm=6:nwc=5.0:urr=on:i=53:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/53Mi)
% 13.76/2.34  % (27313)dis+10_1:4_abs=on:bsd=on:fsd=on:nwc=3.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,8:i=192:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/192Mi)
% 13.76/2.34  % (27294)Refutation not found, incomplete strategy% (27294)------------------------------
% 13.76/2.34  % (27294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.76/2.34  % (27294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.76/2.34  % (27294)Termination reason: Refutation not found, incomplete strategy
% 13.76/2.34  
% 13.76/2.34  % (27294)Memory used [KB]: 2942
% 13.76/2.34  % (27294)Time elapsed: 0.448 s
% 13.76/2.34  % (27294)Instructions burned: 53 (million)
% 13.76/2.34  % (27294)------------------------------
% 13.76/2.34  % (27294)------------------------------
% 13.76/2.36  % (27311)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=1290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/1290Mi)
% 13.76/2.36  % (27302)Instruction limit reached!
% 13.76/2.36  % (27302)------------------------------
% 13.76/2.36  % (27302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.76/2.36  % (27302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.76/2.36  % (27302)Termination reason: Unknown
% 13.76/2.36  % (27302)Termination phase: Saturation
% 13.76/2.36  
% 13.76/2.36  % (27302)Memory used [KB]: 7419
% 13.76/2.36  % (27302)Time elapsed: 0.370 s
% 13.76/2.36  % (27302)Instructions burned: 46 (million)
% 13.76/2.36  % (27302)------------------------------
% 13.76/2.36  % (27302)------------------------------
% 13.76/2.37  % (27308)lrs+1011_1:1_aac=none:fs=off:fsr=off:i=265:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/265Mi)
% 13.76/2.38  % (27309)dis+10_1:5_bsr=on:drc=off:ins=1:nwc=2.8:sp=reverse_frequency:to=lpo:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/84Mi)
% 13.76/2.38  % (27314)dis+11_1:1_av=off:bd=off:br=off:erd=off:ins=1:nm=0:nwc=3.0:s2a=on:slsq=on:slsqc=2:slsqr=1,2:urr=on:i=163:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/163Mi)
% 14.23/2.39  % (27222)Instruction limit reached!
% 14.23/2.39  % (27222)------------------------------
% 14.23/2.39  % (27222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.23/2.39  % (27222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.23/2.39  % (27222)Termination reason: Unknown
% 14.23/2.39  % (27222)Termination phase: Saturation
% 14.23/2.39  
% 14.23/2.39  % (27222)Memory used [KB]: 9338
% 14.23/2.39  % (27222)Time elapsed: 0.289 s
% 14.23/2.39  % (27222)Instructions burned: 424 (million)
% 14.23/2.39  % (27222)------------------------------
% 14.23/2.39  % (27222)------------------------------
% 14.23/2.42  % (27310)Refutation not found, incomplete strategy% (27310)------------------------------
% 14.23/2.42  % (27310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.23/2.42  % (27310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.23/2.42  % (27310)Termination reason: Refutation not found, incomplete strategy
% 14.23/2.42  
% 14.23/2.42  % (27310)Memory used [KB]: 11897
% 14.23/2.42  % (27310)Time elapsed: 0.023 s
% 14.23/2.42  % (27310)Instructions burned: 29 (million)
% 14.23/2.42  % (27310)------------------------------
% 14.23/2.42  % (27310)------------------------------
% 14.23/2.46  % (27319)lrs+10_1:6_bd=off:drc=off:tgt=full:i=729:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/729Mi)
% 14.23/2.47  % (27307)Instruction limit reached!
% 14.23/2.47  % (27307)------------------------------
% 14.23/2.47  % (27307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.23/2.47  % (27307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.23/2.47  % (27307)Termination reason: Unknown
% 14.23/2.47  % (27307)Termination phase: Saturation
% 14.23/2.47  
% 14.23/2.47  % (27307)Memory used [KB]: 7547
% 14.23/2.47  % (27307)Time elapsed: 0.037 s
% 14.23/2.47  % (27307)Instructions burned: 53 (million)
% 14.23/2.47  % (27307)------------------------------
% 14.23/2.47  % (27307)------------------------------
% 14.72/2.48  % (27318)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=3643:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/3643Mi)
% 14.79/2.48  % (27306)Instruction limit reached!
% 14.79/2.48  % (27306)------------------------------
% 14.79/2.48  % (27306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.79/2.48  % (27306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.79/2.48  % (27306)Termination reason: Unknown
% 14.79/2.48  % (27306)Termination phase: Saturation
% 14.79/2.48  
% 14.79/2.48  % (27306)Memory used [KB]: 7803
% 14.79/2.48  % (27306)Time elapsed: 0.078 s
% 14.79/2.48  % (27306)Instructions burned: 121 (million)
% 14.79/2.48  % (27306)------------------------------
% 14.79/2.48  % (27306)------------------------------
% 15.00/2.53  % (27311)Refutation not found, incomplete strategy% (27311)------------------------------
% 15.00/2.53  % (27311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.00/2.53  % (27311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.00/2.53  % (27311)Termination reason: Refutation not found, incomplete strategy
% 15.00/2.53  
% 15.00/2.53  % (27311)Memory used [KB]: 7419
% 15.00/2.53  % (27311)Time elapsed: 0.409 s
% 15.00/2.53  % (27311)Instructions burned: 44 (million)
% 15.00/2.53  % (27311)------------------------------
% 15.00/2.53  % (27311)------------------------------
% 15.00/2.54  % (27303)Instruction limit reached!
% 15.00/2.54  % (27303)------------------------------
% 15.00/2.54  % (27303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.00/2.54  % (27303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.00/2.54  % (27303)Termination reason: Unknown
% 15.00/2.54  % (27303)Termination phase: Saturation
% 15.00/2.54  
% 15.00/2.54  % (27303)Memory used [KB]: 10874
% 15.00/2.54  % (27303)Time elapsed: 0.158 s
% 15.00/2.54  % (27303)Instructions burned: 280 (million)
% 15.00/2.54  % (27303)------------------------------
% 15.00/2.54  % (27303)------------------------------
% 15.00/2.57  % (27320)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/292Mi)
% 15.00/2.59  % (27325)lrs+10_1:1_anc=all:br=off:newcnf=on:s2a=on:s2at=2.0:sac=on:sd=1:ss=included:urr=on:i=3380:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/3380Mi)
% 15.00/2.60  % (27315)Instruction limit reached!
% 15.00/2.60  % (27315)------------------------------
% 15.00/2.60  % (27315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.00/2.60  % (27315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.00/2.60  % (27315)Termination reason: Unknown
% 15.00/2.60  % (27315)Termination phase: Saturation
% 15.00/2.60  
% 15.00/2.60  % (27315)Memory used [KB]: 13688
% 15.00/2.60  % (27315)Time elapsed: 0.124 s
% 15.00/2.60  % (27315)Instructions burned: 202 (million)
% 15.00/2.60  % (27315)------------------------------
% 15.00/2.60  % (27315)------------------------------
% 15.47/2.62  % (27324)lrs+31_1:1_fs=off:fsr=off:kws=precedence:i=772:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/772Mi)
% 15.47/2.62  % (27321)dis+1011_1:64_av=off:bce=on:bd=off:bsd=on:cond=on:flr=on:foolp=on:nwc=2.0:plsq=on:plsqc=1:plsqr=37,6:s2agt=32:slsq=on:slsqc=1:slsql=off:slsqr=17,16:tgt=full:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/73Mi)
% 15.47/2.64  % (27322)lrs+21_1:8_av=off:bs=unit_only:drc=off:flr=on:lwlo=on:nwc=10.0:slsq=on:slsqr=1,4:tgt=ground:to=lpo:urr=on:i=1174:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/1174Mi)
% 15.47/2.65  % (27323)dis+10_1:1024_br=off:nwc=3.0:plsq=on:plsqc=2:plsqr=7,4:urr=on:i=348:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/348Mi)
% 15.47/2.68  % (27309)Instruction limit reached!
% 15.47/2.68  % (27309)------------------------------
% 15.47/2.68  % (27309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.47/2.68  % (27309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.47/2.68  % (27309)Termination reason: Unknown
% 15.47/2.68  % (27309)Termination phase: Saturation
% 15.47/2.68  
% 15.47/2.68  % (27309)Memory used [KB]: 8059
% 15.47/2.68  % (27309)Time elapsed: 0.601 s
% 15.47/2.68  % (27309)Instructions burned: 84 (million)
% 15.47/2.68  % (27309)------------------------------
% 15.47/2.68  % (27309)------------------------------
% 15.74/2.69  % (27328)lrs+10_1:1_av=off:bd=off:lma=on:sfv=off:sos=all:spb=goal_then_units:to=lpo:i=226:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/226Mi)
% 15.74/2.71  % (27335)ott+11_2:1_add=large:afp=4000:newcnf=on:sd=1:sos=on:sp=const_min:ss=axioms:i=322:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/322Mi)
% 15.74/2.71  % (27335)Refutation not found, incomplete strategy% (27335)------------------------------
% 15.74/2.71  % (27335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.74/2.71  % (27335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.74/2.71  % (27335)Termination reason: Refutation not found, incomplete strategy
% 15.74/2.71  
% 15.74/2.71  % (27335)Memory used [KB]: 6268
% 15.74/2.71  % (27335)Time elapsed: 0.002 s
% 15.74/2.71  % (27335)Instructions burned: 2 (million)
% 15.74/2.71  % (27335)------------------------------
% 15.74/2.71  % (27335)------------------------------
% 15.74/2.71  % (27327)ott+10_1:1_av=off:br=off:bsd=on:drc=off:s2a=on:sos=all:sp=reverse_arity:spb=goal:to=lpo:urr=on:i=198:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/198Mi)
% 15.74/2.72  % (27331)ott+10_1:5_bs=unit_only:drc=off:ins=1:nwc=2.16:rnwc=on:slsq=on:slsqr=13,149:sp=const_min:tgt=ground:to=lpo:uwa=interpreted_only:i=336:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/336Mi)
% 15.74/2.74  % (27326)dis+1010_1:1024_av=off:awrs=converge:awrsf=256:bce=on:bsr=on:fde=unused:gs=on:ins=1:nwc=3.0:s2a=on:skr=on:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/388Mi)
% 16.20/2.79  % (27314)Instruction limit reached!
% 16.20/2.79  % (27314)------------------------------
% 16.20/2.79  % (27314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.20/2.79  % (27314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.20/2.79  % (27314)Termination reason: Unknown
% 16.20/2.79  % (27314)Termination phase: Saturation
% 16.20/2.79  
% 16.20/2.79  % (27314)Memory used [KB]: 3326
% 16.20/2.79  % (27314)Time elapsed: 0.628 s
% 16.20/2.79  % (27314)Instructions burned: 165 (million)
% 16.20/2.79  % (27314)------------------------------
% 16.20/2.79  % (27314)------------------------------
% 16.20/2.79  % (27333)lrs+1011_1:1_nwc=5.0:sd=4:ss=included:st=5.0:i=2097:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/2097Mi)
% 16.20/2.79  % (27336)dis+3_1:64_av=off:cond=on:lcm=reverse:nwc=3.0:sos=on:updr=off:i=1004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/1004Mi)
% 16.20/2.80  % (27332)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=206:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/206Mi)
% 16.20/2.80  % (27332)Refutation not found, incomplete strategy% (27332)------------------------------
% 16.20/2.80  % (27332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.20/2.80  % (27332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.20/2.80  % (27332)Termination reason: Refutation not found, incomplete strategy
% 16.20/2.80  
% 16.20/2.80  % (27332)Memory used [KB]: 6268
% 16.20/2.80  % (27332)Time elapsed: 0.003 s
% 16.20/2.80  % (27332)Instructions burned: 2 (million)
% 16.20/2.80  % (27332)------------------------------
% 16.20/2.80  % (27332)------------------------------
% 16.20/2.80  % (27328)Refutation not found, incomplete strategy% (27328)------------------------------
% 16.20/2.80  % (27328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.20/2.80  % (27328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.20/2.80  % (27328)Termination reason: Refutation not found, incomplete strategy
% 16.20/2.80  
% 16.20/2.80  % (27328)Memory used [KB]: 2942
% 16.20/2.80  % (27328)Time elapsed: 0.022 s
% 16.20/2.80  % (27328)Instructions burned: 29 (million)
% 16.20/2.80  % (27328)------------------------------
% 16.20/2.80  % (27328)------------------------------
% 16.20/2.80  % (27334)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=4956:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/4956Mi)
% 16.20/2.80  % (27334)Refutation not found, incomplete strategy% (27334)------------------------------
% 16.20/2.80  % (27334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.20/2.80  % (27334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.20/2.80  % (27334)Termination reason: Refutation not found, incomplete strategy
% 16.20/2.80  
% 16.20/2.80  % (27334)Memory used [KB]: 6268
% 16.20/2.80  % (27334)Time elapsed: 0.003 s
% 16.20/2.80  % (27334)Instructions burned: 1 (million)
% 16.20/2.80  % (27334)------------------------------
% 16.20/2.80  % (27334)------------------------------
% 16.20/2.81  % (27321)Instruction limit reached!
% 16.20/2.81  % (27321)------------------------------
% 16.20/2.81  % (27321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.20/2.81  % (27321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.20/2.81  % (27321)Termination reason: Unknown
% 16.20/2.81  % (27321)Termination phase: Saturation
% 16.20/2.81  
% 16.20/2.81  % (27321)Memory used [KB]: 2942
% 16.20/2.81  % (27321)Time elapsed: 0.480 s
% 16.20/2.81  % (27321)Instructions burned: 74 (million)
% 16.20/2.81  % (27321)------------------------------
% 16.20/2.81  % (27321)------------------------------
% 16.20/2.81  % (27327)Refutation not found, incomplete strategy% (27327)------------------------------
% 16.20/2.81  % (27327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.20/2.81  % (27327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.20/2.81  % (27327)Termination reason: Refutation not found, incomplete strategy
% 16.20/2.81  
% 16.20/2.81  % (27327)Memory used [KB]: 3326
% 16.20/2.81  % (27327)Time elapsed: 0.024 s
% 16.20/2.81  % (27327)Instructions burned: 37 (million)
% 16.20/2.81  % (27327)------------------------------
% 16.20/2.81  % (27327)------------------------------
% 17.34/2.83  % (27336)Refutation not found, incomplete strategy% (27336)------------------------------
% 17.34/2.83  % (27336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.44/2.84  % (27336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.44/2.84  % (27336)Termination reason: Refutation not found, incomplete strategy
% 17.44/2.84  
% 17.44/2.84  % (27336)Memory used [KB]: 3198
% 17.44/2.84  % (27336)Time elapsed: 0.018 s
% 17.44/2.84  % (27336)Instructions burned: 37 (million)
% 17.44/2.84  % (27336)------------------------------
% 17.44/2.84  % (27336)------------------------------
% 17.44/2.84  % (27313)Instruction limit reached!
% 17.44/2.84  % (27313)------------------------------
% 17.44/2.84  % (27313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.44/2.84  % (27313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.44/2.84  % (27313)Termination reason: Unknown
% 17.44/2.84  % (27313)Termination phase: Saturation
% 17.44/2.84  
% 17.44/2.84  % (27313)Memory used [KB]: 5245
% 17.44/2.84  % (27313)Time elapsed: 0.734 s
% 17.44/2.84  % (27313)Instructions burned: 194 (million)
% 17.44/2.84  % (27313)------------------------------
% 17.44/2.84  % (27313)------------------------------
% 17.44/2.86  % (27338)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=455:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/455Mi)
% 17.44/2.88  % (27337)lrs+1011_1:5_av=off:awrs=decay:awrsf=97:bce=on:bsr=on:drc=off:flr=on:gs=on:ins=3:lwlo=on:newcnf=on:nm=0:plsq=on:plsqr=4437,256:s2a=on:s2at=4.0:s2pl=no:sims=off:skr=on:slsq=on:slsqc=0:slsqr=31,16:sos=all:sp=frequency:updr=off:i=654:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/654Mi)
% 17.44/2.91  % (27340)dis+1002_1:1_cond=on:erd=off:fsd=on:fsdmm=2:gs=on:newcnf=on:nwc=2.0:s2a=on:sims=off:sp=reverse_arity:ss=axioms:i=186:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/186Mi)
% 17.44/2.91  % (27339)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=98:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/98Mi)
% 17.44/2.91  % (27340)Refutation not found, incomplete strategy% (27340)------------------------------
% 17.44/2.91  % (27340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.44/2.91  % (27340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.44/2.91  % (27340)Termination reason: Refutation not found, incomplete strategy
% 17.44/2.91  
% 17.44/2.91  % (27340)Memory used [KB]: 10746
% 17.44/2.91  % (27340)Time elapsed: 0.003 s
% 17.44/2.91  % (27340)Instructions burned: 3 (million)
% 17.44/2.91  % (27340)------------------------------
% 17.44/2.91  % (27340)------------------------------
% 17.44/2.92  % (27338)Refutation not found, incomplete strategy% (27338)------------------------------
% 17.44/2.92  % (27338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.44/2.92  % (27338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.44/2.92  % (27338)Termination reason: Refutation not found, incomplete strategy
% 17.44/2.92  
% 17.44/2.92  % (27338)Memory used [KB]: 7419
% 17.44/2.92  % (27338)Time elapsed: 0.015 s
% 17.44/2.92  % (27338)Instructions burned: 30 (million)
% 17.44/2.92  % (27338)------------------------------
% 17.44/2.92  % (27338)------------------------------
% 18.09/2.93  % (27342)dis+1010_1:16_fsd=on:nicw=on:ss=included:i=433:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/433Mi)
% 18.09/2.93  % (27341)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=473:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/473Mi)
% 18.09/2.93  % (27341)Refutation not found, incomplete strategy% (27341)------------------------------
% 18.09/2.93  % (27341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.09/2.93  % (27341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.09/2.93  % (27341)Termination reason: Refutation not found, incomplete strategy
% 18.09/2.93  
% 18.09/2.93  % (27341)Memory used [KB]: 6268
% 18.09/2.93  % (27341)Time elapsed: 0.003 s
% 18.09/2.93  % (27341)------------------------------
% 18.09/2.93  % (27341)------------------------------
% 18.09/2.94  % (27346)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/848Mi)
% 18.09/2.94  % (27346)Refutation not found, incomplete strategy% (27346)------------------------------
% 18.09/2.94  % (27346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.09/2.94  % (27346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.09/2.94  % (27346)Termination reason: Refutation not found, incomplete strategy
% 18.09/2.94  
% 18.09/2.94  % (27346)Memory used [KB]: 6268
% 18.09/2.94  % (27346)Time elapsed: 0.004 s
% 18.09/2.94  % (27346)Instructions burned: 2 (million)
% 18.09/2.94  % (27346)------------------------------
% 18.09/2.94  % (27346)------------------------------
% 18.09/2.94  % (27337)Refutation not found, incomplete strategy% (27337)------------------------------
% 18.09/2.94  % (27337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.09/2.94  % (27337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.09/2.94  % (27337)Termination reason: Refutation not found, incomplete strategy
% 18.09/2.94  
% 18.09/2.94  % (27337)Memory used [KB]: 7675
% 18.09/2.94  % (27337)Time elapsed: 0.019 s
% 18.09/2.94  % (27337)Instructions burned: 38 (million)
% 18.09/2.94  % (27337)------------------------------
% 18.09/2.94  % (27337)------------------------------
% 18.09/2.94  % (27343)lrs+10_1:32_abs=on:br=off:urr=ec_only:i=453:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/453Mi)
% 18.09/2.95  % (27308)Instruction limit reached!
% 18.09/2.95  % (27308)------------------------------
% 18.09/2.95  % (27308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.09/2.95  % (27308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.09/2.95  % (27308)Termination reason: Unknown
% 18.09/2.95  % (27308)Termination phase: Saturation
% 18.09/2.95  
% 18.09/2.95  % (27308)Memory used [KB]: 8699
% 18.09/2.95  % (27308)Time elapsed: 0.837 s
% 18.09/2.95  % (27308)Instructions burned: 265 (million)
% 18.09/2.95  % (27308)------------------------------
% 18.09/2.95  % (27308)------------------------------
% 18.09/2.95  % (27350)dis+21_1:1_av=off:nwc=5.0:s2a=on:s2at=2.2:spb=goal_then_units:to=lpo:i=452:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/452Mi)
% 18.09/2.96  % (27344)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=802:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/802Mi)
% 18.58/3.02  % (27320)Instruction limit reached!
% 18.58/3.02  % (27320)------------------------------
% 18.58/3.02  % (27320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.58/3.02  % (27320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.58/3.02  % (27320)Termination reason: Unknown
% 18.58/3.02  % (27320)Termination phase: Saturation
% 18.58/3.02  
% 18.58/3.02  % (27320)Memory used [KB]: 9594
% 18.58/3.02  % (27320)Time elapsed: 0.122 s
% 18.58/3.02  % (27320)Instructions burned: 293 (million)
% 18.58/3.02  % (27320)------------------------------
% 18.58/3.02  % (27320)------------------------------
% 18.58/3.03  % (27380)lrs+11_1:128_aac=none:avsq=on:avsqc=2:avsql=on:avsqr=1,16:awrs=converge:bs=on:nm=0:plsq=on:plsqc=1:plsqr=65,12:sos=on:spb=goal_then_units:to=lpo:urr=on:i=855:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/855Mi)
% 18.58/3.04  % (27376)lrs+10_1:1_atotf=0.1:lcm=predicate:nwc=5.0:rnwc=on:s2a=on:s2at=2.0:sac=on:sos=on:spb=goal_then_units:urr=on:i=644:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/644Mi)
% 18.58/3.04  % (27298)Instruction limit reached!
% 18.58/3.04  % (27298)------------------------------
% 18.58/3.04  % (27298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.58/3.04  % (27298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.58/3.04  % (27298)Termination reason: Unknown
% 18.58/3.04  % (27298)Termination phase: Saturation
% 18.58/3.04  
% 18.58/3.04  % (27298)Memory used [KB]: 9722
% 18.58/3.04  % (27298)Time elapsed: 0.273 s
% 18.58/3.04  % (27298)Instructions burned: 504 (million)
% 18.58/3.04  % (27298)------------------------------
% 18.58/3.04  % (27298)------------------------------
% 18.58/3.05  % (27391)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=1340:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/1340Mi)
% 18.58/3.05  % (27391)Refutation not found, incomplete strategy% (27391)------------------------------
% 18.58/3.05  % (27391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.58/3.05  % (27391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.58/3.05  % (27391)Termination reason: Refutation not found, incomplete strategy
% 18.58/3.05  
% 18.58/3.05  % (27391)Memory used [KB]: 6268
% 18.58/3.05  % (27391)Time elapsed: 0.004 s
% 18.58/3.05  % (27391)Instructions burned: 1 (million)
% 18.58/3.05  % (27391)------------------------------
% 18.58/3.05  % (27391)------------------------------
% 18.58/3.05  % (27339)Instruction limit reached!
% 18.58/3.05  % (27339)------------------------------
% 18.58/3.05  % (27339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.58/3.05  % (27339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.58/3.05  % (27339)Termination reason: Unknown
% 18.58/3.05  % (27339)Termination phase: Saturation
% 18.58/3.05  
% 18.58/3.05  % (27339)Memory used [KB]: 3326
% 18.58/3.05  % (27339)Time elapsed: 0.244 s
% 18.58/3.05  % (27339)Instructions burned: 98 (million)
% 18.58/3.05  % (27339)------------------------------
% 18.58/3.05  % (27339)------------------------------
% 19.06/3.06  % (27389)lrs+11_4:1_acc=on:alpa=true:awrs=converge:bsr=unit_only:fsd=on:gs=on:gsaa=from_current:nicw=on:s2a=on:s2at=2.0:sac=on:slsq=on:slsqc=2:slsqr=11,120:sos=all:sp=weighted_frequency:spb=goal_then_units:urr=on:i=3379:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/3379Mi)
% 19.14/3.07  % (27392)dis+1011_2388710:563463_bce=on:ep=RS:erd=off:fs=off:fsr=off:sp=frequency:i=1024:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/1024Mi)
% 19.14/3.08  % (27376)Refutation not found, incomplete strategy% (27376)------------------------------
% 19.14/3.08  % (27376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.14/3.08  % (27397)lrs+10_1:1_sd=4:sos=on:spb=goal:ss=axioms:st=3.7:to=lpo:urr=on:i=480:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/480Mi)
% 19.14/3.08  % (27397)Refutation not found, incomplete strategy% (27397)------------------------------
% 19.14/3.08  % (27397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.14/3.08  % (27397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.14/3.08  % (27397)Termination reason: Refutation not found, incomplete strategy
% 19.14/3.08  
% 19.14/3.08  % (27397)Memory used [KB]: 6268
% 19.14/3.08  % (27397)Time elapsed: 0.002 s
% 19.14/3.08  % (27397)------------------------------
% 19.14/3.08  % (27397)------------------------------
% 19.14/3.09  % (27380)Refutation not found, incomplete strategy% (27380)------------------------------
% 19.14/3.09  % (27380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.14/3.09  % (27380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.14/3.09  % (27380)Termination reason: Refutation not found, incomplete strategy
% 19.14/3.09  
% 19.14/3.09  % (27380)Memory used [KB]: 7803
% 19.14/3.09  % (27380)Time elapsed: 0.022 s
% 19.14/3.09  % (27380)Instructions burned: 37 (million)
% 19.14/3.09  % (27380)------------------------------
% 19.14/3.09  % (27380)------------------------------
% 19.14/3.09  % (27376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.14/3.09  % (27376)Termination reason: Refutation not found, incomplete strategy
% 19.14/3.09  
% 19.14/3.09  % (27376)Memory used [KB]: 7803
% 19.14/3.09  % (27376)Time elapsed: 0.020 s
% 19.14/3.09  % (27376)Instructions burned: 39 (million)
% 19.14/3.09  % (27376)------------------------------
% 19.14/3.09  % (27376)------------------------------
% 19.14/3.11  % (27326)Instruction limit reached!
% 19.14/3.11  % (27326)------------------------------
% 19.14/3.11  % (27326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.14/3.11  % (27326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.14/3.11  % (27326)Termination reason: Unknown
% 19.14/3.11  % (27326)Termination phase: Saturation
% 19.14/3.11  
% 19.14/3.11  % (27326)Memory used [KB]: 8827
% 19.14/3.11  % (27326)Time elapsed: 0.637 s
% 19.14/3.11  % (27326)Instructions burned: 390 (million)
% 19.14/3.11  % (27326)------------------------------
% 19.14/3.11  % (27326)------------------------------
% 19.58/3.14  % (27389)Refutation not found, incomplete strategy% (27389)------------------------------
% 19.58/3.14  % (27389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.58/3.14  % (27389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.58/3.14  % (27389)Termination reason: Refutation not found, incomplete strategy
% 19.58/3.14  
% 19.58/3.14  % (27389)Memory used [KB]: 12409
% 19.58/3.14  % (27389)Time elapsed: 0.022 s
% 19.58/3.14  % (27389)Instructions burned: 41 (million)
% 19.58/3.14  % (27389)------------------------------
% 19.58/3.14  % (27389)------------------------------
% 19.58/3.14  % (27296)Instruction limit reached!
% 19.58/3.14  % (27296)------------------------------
% 19.58/3.14  % (27296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.58/3.14  % (27296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.58/3.14  % (27296)Termination reason: Unknown
% 19.58/3.14  % (27296)Termination phase: Saturation
% 19.58/3.14  
% 19.58/3.14  % (27296)Memory used [KB]: 9594
% 19.58/3.14  % (27296)Time elapsed: 0.237 s
% 19.58/3.14  % (27296)Instructions burned: 441 (million)
% 19.58/3.14  % (27296)------------------------------
% 19.58/3.14  % (27296)------------------------------
% 19.58/3.14  % (27433)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=543:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/543Mi)
% 19.58/3.15  % (27460)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=670:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/670Mi)
% 19.58/3.15  % (27460)Refutation not found, incomplete strategy% (27460)------------------------------
% 19.58/3.15  % (27460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.58/3.15  % (27460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.58/3.15  % (27460)Termination reason: Refutation not found, incomplete strategy
% 19.58/3.15  
% 19.58/3.15  % (27460)Memory used [KB]: 6268
% 19.58/3.15  % (27460)Time elapsed: 0.001 s
% 19.58/3.15  % (27460)------------------------------
% 19.58/3.15  % (27460)------------------------------
% 19.58/3.16  % (27453)dis+10_1:1_av=off:ep=RS:lcm=reverse:newcnf=on:s2a=on:s2at=3.0:i=2849:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/2849Mi)
% 19.58/3.16  % (27323)Instruction limit reached!
% 19.58/3.16  % (27323)------------------------------
% 19.58/3.16  % (27323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.58/3.17  % (27433)Refutation not found, incomplete strategy% (27433)------------------------------
% 19.58/3.17  % (27433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.58/3.17  % (27331)Instruction limit reached!
% 19.58/3.17  % (27331)------------------------------
% 19.58/3.17  % (27331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.58/3.17  % (27433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.58/3.17  % (27433)Termination reason: Refutation not found, incomplete strategy
% 19.58/3.17  
% 19.58/3.17  % (27433)Memory used [KB]: 7164
% 19.58/3.17  % (27433)Time elapsed: 0.012 s
% 19.58/3.17  % (27433)Instructions burned: 26 (million)
% 19.58/3.17  % (27433)------------------------------
% 19.58/3.17  % (27433)------------------------------
% 19.58/3.17  % (27323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.58/3.17  % (27323)Termination reason: Unknown
% 19.58/3.17  % (27323)Termination phase: Saturation
% 19.58/3.17  
% 19.58/3.17  % (27323)Memory used [KB]: 8955
% 19.58/3.17  % (27323)Time elapsed: 0.832 s
% 19.58/3.17  % (27323)Instructions burned: 349 (million)
% 19.58/3.17  % (27323)------------------------------
% 19.58/3.17  % (27323)------------------------------
% 19.58/3.17  % (27331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.58/3.17  % (27331)Termination reason: Unknown
% 19.58/3.17  % (27331)Termination phase: Saturation
% 19.58/3.17  
% 19.58/3.17  % (27331)Memory used [KB]: 9083
% 19.58/3.17  % (27331)Time elapsed: 0.147 s
% 19.58/3.17  % (27331)Instructions burned: 336 (million)
% 19.58/3.17  % (27331)------------------------------
% 19.58/3.17  % (27331)------------------------------
% 19.58/3.18  % (27462)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=918:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/918Mi)
% 19.58/3.21  % (27480)ott+10_1:1_nwc=2.0:ss=axioms:st=1.3:urr=on:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/2016Mi)
% 19.58/3.21  % (27489)lrs+1011_1:1_av=off:br=off:erd=off:ins=1:nm=3:nwc=3.0:s2a=on:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/439Mi)
% 20.14/3.23  % (27480)Refutation not found, incomplete strategy% (27480)------------------------------
% 20.14/3.23  % (27480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.14/3.23  % (27480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.14/3.23  % (27480)Termination reason: Refutation not found, incomplete strategy
% 20.14/3.23  
% 20.14/3.23  % (27480)Memory used [KB]: 6268
% 20.14/3.23  % (27480)Time elapsed: 0.003 s
% 20.14/3.23  % (27480)Instructions burned: 1 (million)
% 20.14/3.23  % (27480)------------------------------
% 20.14/3.23  % (27480)------------------------------
% 20.14/3.23  % (27497)dis+1010_5:1_abs=on:ep=RST:fde=unused:gsp=on:ins=1:nwc=10.0:s2a=on:s2at=1.5:sas=z3:sp=reverse_frequency:i=778:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/778Mi)
% 20.14/3.24  % (27487)lrs+11_1:1_av=off:bce=on:bs=on:ep=RST:gsp=on:nm=0:s2a=on:ss=included:i=124:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/124Mi)
% 20.14/3.25  % (27453)Refutation not found, incomplete strategy% (27453)------------------------------
% 20.14/3.25  % (27453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.14/3.25  % (27453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.14/3.25  % (27453)Termination reason: Refutation not found, incomplete strategy
% 20.14/3.25  
% 20.14/3.25  % (27453)Memory used [KB]: 2942
% 20.14/3.25  % (27453)Time elapsed: 0.144 s
% 20.14/3.25  % (27453)Instructions burned: 52 (million)
% 20.14/3.25  % (27453)------------------------------
% 20.14/3.25  % (27453)------------------------------
% 20.14/3.26  % (27512)lrs+1002_1:1_atotf=0.3:avsq=on:avsqr=55,124:cond=on:nm=3:plsq=on:plsqc=1:plsql=on:plsqr=32,1:i=167:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/167Mi)
% 20.14/3.26  % (27507)ott+10_1:1_bsr=unit_only:cond=on:nm=16:sd=1:sp=frequency:ss=included:i=105:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/105Mi)
% 20.14/3.26  % (27519)lrs+10_3:1_abs=on:ep=RST:newcnf=on:nm=2:sas=z3:sd=1:sos=all:ss=included:to=lpo:i=4507:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/4507Mi)
% 20.14/3.26  % (27260)Instruction limit reached!
% 20.14/3.26  % (27260)------------------------------
% 20.14/3.26  % (27260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.14/3.26  % (27260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.14/3.26  % (27260)Termination reason: Unknown
% 20.14/3.26  % (27260)Termination phase: Saturation
% 20.14/3.26  
% 20.14/3.26  % (27260)Memory used [KB]: 21236
% 20.14/3.26  % (27260)Time elapsed: 1.764 s
% 20.14/3.26  % (27260)Instructions burned: 1288 (million)
% 20.14/3.26  % (27260)------------------------------
% 20.14/3.26  % (27260)------------------------------
% 20.14/3.27  % (27509)dis+1011_1:10_av=off:awrs=decay:bce=on:bd=off:bsd=on:nwc=2.0:i=1536:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/1536Mi)
% 20.52/3.29  % (27520)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/93Mi)
% 20.52/3.30  % (27521)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=529:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/529Mi)
% 20.52/3.33  % (27521)Refutation not found, incomplete strategy% (27521)------------------------------
% 20.52/3.33  % (27521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.52/3.33  % (27521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.52/3.33  % (27521)Termination reason: Refutation not found, incomplete strategy
% 20.52/3.33  
% 20.52/3.33  % (27521)Memory used [KB]: 7419
% 20.52/3.33  % (27521)Time elapsed: 0.014 s
% 20.52/3.33  % (27521)Instructions burned: 28 (million)
% 20.52/3.33  % (27521)------------------------------
% 20.52/3.33  % (27521)------------------------------
% 20.52/3.33  % (27289)Instruction limit reached!
% 20.52/3.33  % (27289)------------------------------
% 20.52/3.33  % (27289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.52/3.34  % (27531)lrs+1011_1:1024_av=off:br=off:s2at=3.0:slsq=on:slsqc=2:slsql=off:slsqr=1,8:urr=ec_only:i=1275:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/1275Mi)
% 20.52/3.34  % (27289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.52/3.34  % (27289)Termination reason: Unknown
% 20.52/3.34  % (27289)Termination phase: Saturation
% 20.52/3.34  
% 20.52/3.34  % (27289)Memory used [KB]: 12409
% 20.52/3.34  % (27289)Time elapsed: 1.530 s
% 20.52/3.34  % (27289)Instructions burned: 669 (million)
% 20.52/3.34  % (27289)------------------------------
% 20.52/3.34  % (27289)------------------------------
% 20.52/3.35  % (27350)Instruction limit reached!
% 20.52/3.35  % (27350)------------------------------
% 20.52/3.35  % (27350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.52/3.36  % (27350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.52/3.36  % (27350)Termination reason: Unknown
% 20.52/3.36  % (27350)Termination phase: Saturation
% 20.52/3.36  
% 20.52/3.36  % (27350)Memory used [KB]: 3582
% 20.52/3.36  % (27350)Time elapsed: 0.461 s
% 20.52/3.36  % (27350)Instructions burned: 452 (million)
% 20.52/3.36  % (27350)------------------------------
% 20.52/3.36  % (27350)------------------------------
% 20.52/3.36  % (27487)Refutation not found, non-redundant clauses discarded% (27487)------------------------------
% 20.52/3.36  % (27487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.97/3.38  % (27519)Refutation not found, incomplete strategy% (27519)------------------------------
% 20.97/3.38  % (27519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.97/3.38  % (27487)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.97/3.38  % (27487)Termination reason: Refutation not found, non-redundant clauses discarded
% 20.97/3.38  
% 20.97/3.38  % (27487)Memory used [KB]: 3454
% 20.97/3.38  % (27487)Time elapsed: 0.230 s
% 20.97/3.38  % (27487)Instructions burned: 96 (million)
% 20.97/3.38  % (27487)------------------------------
% 20.97/3.38  % (27487)------------------------------
% 21.80/3.38  % (27519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.80/3.38  % (27519)Termination reason: Refutation not found, incomplete strategy
% 21.80/3.38  
% 21.80/3.38  % (27519)Memory used [KB]: 2558
% 21.80/3.38  % (27519)Time elapsed: 0.034 s
% 21.80/3.38  % (27519)Instructions burned: 72 (million)
% 21.80/3.38  % (27519)------------------------------
% 21.80/3.38  % (27519)------------------------------
% 21.80/3.39  % (27541)dis+1002_1:28_av=off:nwc=5.0:s2a=on:s2at=3.0:i=354:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/354Mi)
% 21.80/3.39  % (27520)Instruction limit reached!
% 21.80/3.39  % (27520)------------------------------
% 21.80/3.39  % (27520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.80/3.40  % (27537)dis+10_1:1_av=off:gs=on:newcnf=on:nm=2:plsq=on:plsqr=32,1:sd=1:sos=all:ss=included:st=3.0:i=507:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/507Mi)
% 21.80/3.41  % (27507)Instruction limit reached!
% 21.80/3.41  % (27507)------------------------------
% 21.80/3.41  % (27507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.80/3.41  % (27520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.80/3.41  % (27520)Termination reason: Unknown
% 21.80/3.41  % (27520)Termination phase: Saturation
% 21.80/3.41  
% 21.80/3.41  % (27520)Memory used [KB]: 8059
% 21.80/3.41  % (27520)Time elapsed: 0.163 s
% 21.80/3.41  % (27520)Instructions burned: 94 (million)
% 21.80/3.41  % (27520)------------------------------
% 21.80/3.41  % (27520)------------------------------
% 21.80/3.41  % (27507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.80/3.41  % (27507)Termination reason: Unknown
% 21.80/3.41  % (27507)Termination phase: Saturation
% 21.80/3.41  
% 21.80/3.41  % (27507)Memory used [KB]: 7931
% 21.80/3.41  % (27507)Time elapsed: 0.047 s
% 21.80/3.41  % (27507)Instructions burned: 107 (million)
% 21.80/3.41  % (27507)------------------------------
% 21.80/3.41  % (27507)------------------------------
% 22.28/3.45  % (27537)Refutation not found, incomplete strategy% (27537)------------------------------
% 22.28/3.45  % (27537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.28/3.45  % (27537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.28/3.45  % (27537)Termination reason: Refutation not found, incomplete strategy
% 22.28/3.45  
% 22.28/3.45  % (27537)Memory used [KB]: 7675
% 22.28/3.45  % (27537)Time elapsed: 0.018 s
% 22.28/3.45  % (27537)Instructions burned: 36 (million)
% 22.28/3.45  % (27537)------------------------------
% 22.28/3.45  % (27537)------------------------------
% 22.28/3.46  % (27512)Instruction limit reached!
% 22.28/3.46  % (27512)------------------------------
% 22.28/3.46  % (27512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.28/3.46  % (27512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.28/3.46  % (27512)Termination reason: Unknown
% 22.28/3.46  % (27512)Termination phase: Saturation
% 22.28/3.46  
% 22.28/3.46  % (27512)Memory used [KB]: 8059
% 22.28/3.46  % (27512)Time elapsed: 0.105 s
% 22.28/3.46  % (27512)Instructions burned: 169 (million)
% 22.28/3.46  % (27512)------------------------------
% 22.28/3.46  % (27512)------------------------------
% 22.28/3.48  % (27566)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/93Mi)
% 22.28/3.48  % (27576)dis+1011_1:1_bsr=on:erd=off:nwc=5.0:plsq=on:plsqc=1:plsqr=107,4:s2a=on:s2at=1.5:sas=z3:sp=reverse_frequency:spb=units:updr=off:i=1114:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/1114Mi)
% 22.28/3.48  % (27561)ott+10_1:1_fde=none:flr=on:s2a=on:i=210:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/210Mi)
% 22.28/3.49  % (27591)dis+1011_1:1_newcnf=on:nwc=5.0:i=189:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/189Mi)
% 22.28/3.52  % (27604)lrs+1004_1:1_av=off:bd=off:sos=all:i=144:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/144Mi)
% 22.28/3.52  % (27597)lrs+1011_1:1_ep=R:gsp=on:nm=0:sos=on:spb=units:ss=included:i=351:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/351Mi)
% 22.79/3.55  % (27605)ott+1003_1:1_bce=on:bd=preordered:drc=off:fd=preordered:to=lpo:uwa=ground:i=318:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/318Mi)
% 22.79/3.55  % (27343)Instruction limit reached!
% 22.79/3.55  % (27343)------------------------------
% 22.79/3.55  % (27343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.79/3.55  % (27597)Refutation not found, incomplete strategy% (27597)------------------------------
% 22.79/3.55  % (27597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.79/3.55  % (27342)Instruction limit reached!
% 22.79/3.55  % (27342)------------------------------
% 22.79/3.55  % (27342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.79/3.55  % (27489)Instruction limit reached!
% 22.79/3.55  % (27489)------------------------------
% 22.79/3.55  % (27489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.79/3.56  % (27606)dis+21_1:1_aac=none:er=known:lcm=predicate:nwc=3.0:sp=frequency:i=471:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/471Mi)
% 22.79/3.56  % (27342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.79/3.56  % (27342)Termination reason: Unknown
% 22.79/3.56  % (27342)Termination phase: Saturation
% 22.79/3.56  
% 22.79/3.56  % (27342)Memory used [KB]: 9210
% 22.79/3.56  % (27342)Time elapsed: 0.728 s
% 22.79/3.56  % (27342)Instructions burned: 434 (million)
% 22.79/3.56  % (27342)------------------------------
% 22.79/3.56  % (27342)------------------------------
% 22.79/3.57  % (27343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.79/3.57  % (27343)Termination reason: Unknown
% 22.79/3.57  % (27343)Termination phase: Saturation
% 22.79/3.57  
% 22.79/3.57  % (27343)Memory used [KB]: 9338
% 22.79/3.57  % (27343)Time elapsed: 0.194 s
% 22.79/3.57  % (27343)Instructions burned: 453 (million)
% 22.79/3.57  % (27343)------------------------------
% 22.79/3.57  % (27343)------------------------------
% 22.79/3.57  % (27604)Refutation not found, incomplete strategy% (27604)------------------------------
% 22.79/3.57  % (27604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.79/3.57  % (27604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.79/3.57  % (27604)Termination reason: Refutation not found, incomplete strategy
% 22.79/3.57  
% 22.79/3.57  % (27604)Memory used [KB]: 2942
% 22.79/3.57  % (27604)Time elapsed: 0.014 s
% 22.79/3.57  % (27604)Instructions burned: 30 (million)
% 22.79/3.57  % (27604)------------------------------
% 22.79/3.57  % (27604)------------------------------
% 22.79/3.57  % (27489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.79/3.57  % (27489)Termination reason: Unknown
% 22.79/3.57  % (27489)Termination phase: Saturation
% 22.79/3.57  
% 22.79/3.57  % (27489)Memory used [KB]: 3965
% 22.79/3.57  % (27489)Time elapsed: 0.392 s
% 22.79/3.57  % (27489)Instructions burned: 443 (million)
% 22.79/3.57  % (27489)------------------------------
% 22.79/3.57  % (27489)------------------------------
% 22.79/3.57  % (27597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.79/3.57  % (27597)Termination reason: Refutation not found, incomplete strategy
% 22.79/3.57  
% 22.79/3.57  % (27597)Memory used [KB]: 7164
% 22.79/3.57  % (27597)Time elapsed: 0.013 s
% 22.79/3.57  % (27597)Instructions burned: 28 (million)
% 22.79/3.57  % (27597)------------------------------
% 22.79/3.57  % (27597)------------------------------
% 23.24/3.59  % (27607)lrs+10_1:4_drc=off:sos=on:to=lpo:i=689:si=on:rawr=on:rtra=on_0 on theBenchmark for (2968ds/689Mi)
% 23.24/3.61  % (27566)Instruction limit reached!
% 23.24/3.61  % (27566)------------------------------
% 23.24/3.61  % (27566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.24/3.61  % (27566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.24/3.61  % (27566)Termination reason: Unknown
% 23.24/3.61  % (27566)Termination phase: Saturation
% 23.24/3.61  
% 23.24/3.61  % (27566)Memory used [KB]: 7803
% 23.24/3.61  % (27566)Time elapsed: 0.038 s
% 23.24/3.61  % (27566)Instructions burned: 93 (million)
% 23.24/3.61  % (27566)------------------------------
% 23.24/3.61  % (27566)------------------------------
% 23.24/3.61  % (27319)Instruction limit reached!
% 23.24/3.61  % (27319)------------------------------
% 23.24/3.61  % (27319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.24/3.63  % (27607)Refutation not found, incomplete strategy% (27607)------------------------------
% 23.24/3.63  % (27607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.24/3.63  % (27319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.24/3.63  % (27319)Termination reason: Unknown
% 23.24/3.63  % (27319)Termination phase: Saturation
% 23.24/3.63  
% 23.24/3.63  % (27319)Memory used [KB]: 12281
% 23.24/3.63  % (27319)Time elapsed: 1.358 s
% 23.24/3.63  % (27319)Instructions burned: 730 (million)
% 23.24/3.63  % (27319)------------------------------
% 23.24/3.63  % (27319)------------------------------
% 23.24/3.65  % (27324)Instruction limit reached!
% 23.24/3.65  % (27324)------------------------------
% 23.24/3.65  % (27324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.24/3.65  % (27607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.24/3.65  % (27607)Termination reason: Refutation not found, incomplete strategy
% 23.24/3.65  
% 23.24/3.65  % (27607)Memory used [KB]: 7675
% 23.24/3.65  % (27607)Time elapsed: 0.019 s
% 23.24/3.65  % (27607)Instructions burned: 37 (million)
% 23.24/3.65  % (27607)------------------------------
% 23.24/3.65  % (27607)------------------------------
% 23.24/3.65  % (27324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.24/3.65  % (27324)Termination reason: Unknown
% 23.24/3.65  % (27324)Termination phase: Saturation
% 23.24/3.65  
% 23.24/3.65  % (27324)Memory used [KB]: 11257
% 23.24/3.65  % (27324)Time elapsed: 1.276 s
% 23.24/3.65  % (27324)Instructions burned: 772 (million)
% 23.24/3.65  % (27324)------------------------------
% 23.24/3.65  % (27324)------------------------------
% 23.84/3.68  % (27608)dis+1011_1:16_etr=on:fsd=on:fsr=off:ins=1:plsq=on:plsqr=32,1:sac=on:sp=frequency:spb=goal:ss=axioms:st=2.0:to=lpo:i=451:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/451Mi)
% 23.84/3.69  % (27612)lrs+1002_1:64_av=off:bd=off:gsp=on:plsq=on:sos=on:i=134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/134Mi)
% 23.84/3.70  % (27610)lrs+1011_1:1_acc=model:avsq=on:bd=off:flr=on:fsd=on:gs=on:newcnf=on:plsq=on:plsql=on:plsqr=1,32:s2a=on:s2at=3.0:sac=on:skr=on:sos=on:sp=occurrence:updr=off:i=496:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/496Mi)
% 23.84/3.70  % (27609)lrs+1011_1:2_acc=on:avsq=on:avsqc=2:avsqr=1,16:awrs=converge:plsq=on:plsqc=1:plsqr=15,8:i=125:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/125Mi)
% 23.84/3.70  % (27611)dis+10_1:1024_drc=off:ins=1:to=lpo:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/370Mi)
% 23.84/3.71  % (27608)Refutation not found, incomplete strategy% (27608)------------------------------
% 23.84/3.71  % (27608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.84/3.71  % (27608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.84/3.71  % (27608)Termination reason: Refutation not found, incomplete strategy
% 23.84/3.71  
% 23.84/3.71  % (27608)Memory used [KB]: 6268
% 23.84/3.71  % (27608)Time elapsed: 0.005 s
% 23.84/3.71  % (27608)Instructions burned: 1 (million)
% 23.84/3.71  % (27608)------------------------------
% 23.84/3.71  % (27608)------------------------------
% 24.08/3.73  % (27610)Refutation not found, incomplete strategy% (27610)------------------------------
% 24.08/3.73  % (27610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.08/3.74  % (27612)Refutation not found, incomplete strategy% (27612)------------------------------
% 24.08/3.74  % (27612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.08/3.74  % (27561)Instruction limit reached!
% 24.08/3.74  % (27561)------------------------------
% 24.08/3.74  % (27561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.08/3.74  % (27561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.08/3.74  % (27561)Termination reason: Unknown
% 24.08/3.74  % (27561)Termination phase: Saturation
% 24.08/3.74  
% 24.08/3.74  % (27561)Memory used [KB]: 8315
% 24.08/3.74  % (27561)Time elapsed: 0.108 s
% 24.08/3.74  % (27561)Instructions burned: 210 (million)
% 24.08/3.74  % (27561)------------------------------
% 24.08/3.74  % (27561)------------------------------
% 24.08/3.74  % (27612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.08/3.74  % (27612)Termination reason: Refutation not found, incomplete strategy
% 24.08/3.74  
% 24.08/3.74  % (27612)Memory used [KB]: 2942
% 24.08/3.74  % (27612)Time elapsed: 0.018 s
% 24.08/3.74  % (27612)Instructions burned: 29 (million)
% 24.08/3.74  % (27612)------------------------------
% 24.08/3.74  % (27612)------------------------------
% 24.29/3.75  % (27613)lrs+1010_1:3_aac=none:anc=all_dependent:bsr=on:fsr=off:nwc=1.5:sos=on:i=401:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/401Mi)
% 24.29/3.75  % (27614)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=1879:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/1879Mi)
% 24.29/3.75  % (27610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.29/3.75  % (27610)Termination reason: Refutation not found, incomplete strategy
% 24.29/3.75  
% 24.29/3.75  % (27610)Memory used [KB]: 11897
% 24.29/3.75  % (27610)Time elapsed: 0.017 s
% 24.29/3.75  % (27610)Instructions burned: 29 (million)
% 24.29/3.75  % (27610)------------------------------
% 24.29/3.75  % (27610)------------------------------
% 24.29/3.76  % (27541)Instruction limit reached!
% 24.29/3.76  % (27541)------------------------------
% 24.29/3.76  % (27541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.29/3.77  % (27616)lrs+11_1:32_awrs=converge:awrsf=32:bd=preordered:drc=off:fd=preordered:flr=on:to=lpo:i=3473:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/3473Mi)
% 24.29/3.77  % (27615)lrs+10_1:1024_br=off:bs=unit_only:ep=RS:flr=on:fsr=off:lcm=reverse:slsq=on:sos=all:sp=frequency:urr=on:i=392:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/392Mi)
% 24.29/3.78  % (27591)Instruction limit reached!
% 24.29/3.78  % (27591)------------------------------
% 24.29/3.78  % (27591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.29/3.78  % (27591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.29/3.78  % (27591)Termination reason: Unknown
% 24.29/3.78  % (27591)Termination phase: Saturation
% 24.29/3.78  
% 24.29/3.78  % (27591)Memory used [KB]: 8187
% 24.29/3.78  % (27591)Time elapsed: 0.361 s
% 24.29/3.78  % (27591)Instructions burned: 189 (million)
% 24.29/3.78  % (27591)------------------------------
% 24.29/3.78  % (27591)------------------------------
% 24.29/3.78  % (27541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.29/3.78  % (27541)Termination reason: Unknown
% 24.29/3.78  % (27541)Termination phase: Saturation
% 24.29/3.78  
% 24.29/3.78  % (27541)Memory used [KB]: 3582
% 24.29/3.78  % (27541)Time elapsed: 0.470 s
% 24.29/3.78  % (27541)Instructions burned: 357 (million)
% 24.29/3.78  % (27541)------------------------------
% 24.29/3.78  % (27541)------------------------------
% 24.29/3.78  % (27322)Instruction limit reached!
% 24.29/3.78  % (27322)------------------------------
% 24.29/3.78  % (27322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.29/3.78  % (27322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.29/3.78  % (27322)Termination reason: Unknown
% 24.29/3.78  % (27322)Termination phase: Saturation
% 24.29/3.78  
% 24.29/3.78  % (27322)Memory used [KB]: 4093
% 24.29/3.78  % (27322)Time elapsed: 1.422 s
% 24.29/3.78  % (27322)Instructions burned: 1178 (million)
% 24.29/3.78  % (27322)------------------------------
% 24.29/3.78  % (27322)------------------------------
% 24.29/3.78  % (27615)Refutation not found, incomplete strategy% (27615)------------------------------
% 24.29/3.78  % (27615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.29/3.80  % (27614)Refutation not found, incomplete strategy% (27614)------------------------------
% 24.29/3.80  % (27614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.29/3.81  % (27615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.29/3.81  % (27615)Termination reason: Refutation not found, incomplete strategy
% 24.29/3.81  
% 24.29/3.81  % (27615)Memory used [KB]: 7419
% 24.29/3.81  % (27615)Time elapsed: 0.013 s
% 24.29/3.81  % (27615)Instructions burned: 30 (million)
% 24.29/3.81  % (27615)------------------------------
% 24.29/3.81  % (27615)------------------------------
% 24.29/3.81  % (27613)Refutation not found, incomplete strategy% (27613)------------------------------
% 24.29/3.81  % (27613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.29/3.81  % (27614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.29/3.81  % (27613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.29/3.81  % (27613)Termination reason: Refutation not found, incomplete strategy
% 24.29/3.81  
% 24.29/3.81  % (27613)Memory used [KB]: 7803
% 24.29/3.81  % (27613)Time elapsed: 0.020 s
% 24.29/3.81  % (27613)Instructions burned: 37 (million)
% 24.29/3.81  % (27613)------------------------------
% 24.29/3.81  % (27613)------------------------------
% 24.29/3.82  % (27614)Termination reason: Refutation not found, incomplete strategy
% 24.29/3.82  
% 24.29/3.82  % (27614)Memory used [KB]: 7419
% 24.29/3.82  % (27614)Time elapsed: 0.142 s
% 24.29/3.82  % (27614)Instructions burned: 44 (million)
% 24.29/3.82  % (27614)------------------------------
% 24.29/3.82  % (27614)------------------------------
% 24.90/3.83  % (27618)lrs+10_1:64_plsq=on:plsqr=32,1:sac=on:sos=all:ss=axioms:st=5.0:i=154:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/154Mi)
% 24.90/3.83  % (27609)Instruction limit reached!
% 24.90/3.83  % (27609)------------------------------
% 24.90/3.83  % (27609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.90/3.83  % (27617)dis+11_1:1_av=off:bce=on:bs=on:ep=RST:gsp=on:nm=0:ss=included:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/131Mi)
% 24.90/3.84  % (27618)Refutation not found, incomplete strategy% (27618)------------------------------
% 24.90/3.84  % (27618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.90/3.84  % (27609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.90/3.84  % (27609)Termination reason: Unknown
% 24.90/3.84  % (27609)Termination phase: Saturation
% 24.90/3.84  
% 24.90/3.84  % (27609)Memory used [KB]: 9594
% 24.90/3.84  % (27609)Time elapsed: 0.046 s
% 24.90/3.84  % (27609)Instructions burned: 126 (million)
% 24.90/3.84  % (27609)------------------------------
% 24.90/3.84  % (27609)------------------------------
% 24.90/3.84  % (27618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.90/3.84  % (27618)Termination reason: Refutation not found, incomplete strategy
% 24.90/3.84  
% 24.90/3.84  % (27618)Memory used [KB]: 6268
% 24.90/3.84  % (27618)Time elapsed: 0.004 s
% 24.90/3.84  % (27618)Instructions burned: 1 (million)
% 24.90/3.84  % (27618)------------------------------
% 24.90/3.84  % (27618)------------------------------
% 24.90/3.87  % (27619)lrs+10_1:1_ev=cautious:sas=z3:tgt=full:i=668:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/668Mi)
% 24.90/3.87  % (27620)lrs+1011_1:4_av=off:bd=off:drc=off:ins=1:nwc=2.0:spb=goal:tgt=full:to=lpo:i=254:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/254Mi)
% 25.20/3.88  % (27622)ott+10_1:1_bd=preordered:drc=off:fde=unused:slsq=on:slsqr=10,31:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=2772:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/2772Mi)
% 25.20/3.90  % (27621)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=1452:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/1452Mi)
% 25.20/3.90  % (27304)Instruction limit reached!
% 25.20/3.90  % (27304)------------------------------
% 25.20/3.90  % (27304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.20/3.90  % (27304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.20/3.90  % (27304)Termination reason: Unknown
% 25.20/3.90  % (27304)Termination phase: Saturation
% 25.20/3.90  
% 25.20/3.90  % (27304)Memory used [KB]: 11769
% 25.20/3.90  % (27304)Time elapsed: 0.480 s
% 25.20/3.90  % (27304)Instructions burned: 997 (million)
% 25.20/3.90  % (27304)------------------------------
% 25.20/3.90  % (27304)------------------------------
% 25.20/3.91  % (27623)dis+10_1:512_drc=off:fd=preordered:ins=2:kws=precedence:s2a=on:sp=unary_first:spb=intro:tgt=ground:i=3180:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/3180Mi)
% 25.20/3.94  % (27624)dis+1010_1:1_aac=none:anc=all:bs=on:erd=off:etr=on:flr=on:gsp=on:lcm=reverse:nm=5:nwc=3.0:sac=on:sfv=off:skr=on:sp=reverse_arity:urr=on:uwa=interpreted_only:i=1043:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/1043Mi)
% 25.20/3.95  % (27628)dis+1010_1:3_av=off:bd=off:bs=on:bsr=on:cond=on:gsp=on:slsq=on:slsqc=1:slsqr=1,4:uwa=all:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/109Mi)
% 25.20/3.95  % (27626)lrs+10_2:1_av=off:bsd=on:fd=off:nm=0:nwc=2.0:spb=goal:to=lpo:urr=on:i=604:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/604Mi)
% 25.20/3.95  % (27625)dis+1011_1:1_fd=preordered:tgt=ground:i=561:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/561Mi)
% 25.20/3.96  % (27605)Instruction limit reached!
% 25.20/3.96  % (27605)------------------------------
% 25.20/3.96  % (27605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.20/3.96  % (27605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.20/3.96  % (27605)Termination reason: Unknown
% 25.20/3.96  % (27605)Termination phase: Saturation
% 25.20/3.96  
% 25.20/3.96  % (27605)Memory used [KB]: 8955
% 25.20/3.96  % (27605)Time elapsed: 0.149 s
% 25.20/3.96  % (27605)Instructions burned: 318 (million)
% 25.20/3.96  % (27605)------------------------------
% 25.20/3.96  % (27605)------------------------------
% 26.38/3.97  % (27627)lrs+10_1:16_br=off:fde=none:ins=1:nwc=3.0:sos=on:ss=axioms:urr=on:i=234:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/234Mi)
% 26.38/3.97  % (27627)Refutation not found, incomplete strategy% (27627)------------------------------
% 26.38/3.97  % (27627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.38/3.97  % (27627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.38/3.97  % (27627)Termination reason: Refutation not found, incomplete strategy
% 26.38/3.97  
% 26.38/3.97  % (27627)Memory used [KB]: 6268
% 26.38/3.97  % (27627)Time elapsed: 0.002 s
% 26.38/3.97  % (27627)Instructions burned: 2 (million)
% 26.38/3.97  % (27627)------------------------------
% 26.38/3.97  % (27627)------------------------------
% 26.54/4.02  % (27344)Instruction limit reached!
% 26.54/4.02  % (27344)------------------------------
% 26.54/4.02  % (27344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.54/4.02  % (27344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.54/4.02  % (27344)Termination reason: Unknown
% 26.54/4.02  % (27344)Termination phase: Saturation
% 26.54/4.02  
% 26.54/4.02  % (27344)Memory used [KB]: 3837
% 26.54/4.02  % (27344)Time elapsed: 1.143 s
% 26.54/4.02  % (27344)Instructions burned: 803 (million)
% 26.54/4.02  % (27344)------------------------------
% 26.54/4.02  % (27344)------------------------------
% 26.54/4.03  % (27629)ott+10_13:991_awrs=decay:awrsf=1:bd=preordered:drc=off:fd=preordered:sp=const_frequency:spb=goal_then_units:uwa=all:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (2964ds/360Mi)
% 26.95/4.04  % (27617)Instruction limit reached!
% 26.95/4.04  % (27617)------------------------------
% 26.95/4.04  % (27617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.95/4.05  % (27617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.05/4.05  % (27617)Termination reason: Unknown
% 27.05/4.05  % (27617)Termination phase: Saturation
% 27.05/4.05  
% 27.05/4.05  % (27617)Memory used [KB]: 3709
% 27.05/4.05  % (27617)Time elapsed: 0.305 s
% 27.05/4.05  % (27617)Instructions burned: 132 (million)
% 27.05/4.05  % (27617)------------------------------
% 27.05/4.05  % (27617)------------------------------
% 27.05/4.06  % (27628)Instruction limit reached!
% 27.05/4.06  % (27628)------------------------------
% 27.05/4.06  % (27628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.05/4.06  % (27628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.05/4.06  % (27628)Termination reason: Unknown
% 27.05/4.06  % (27628)Termination phase: Saturation
% 27.05/4.06  
% 27.05/4.06  % (27628)Memory used [KB]: 3965
% 27.05/4.06  % (27628)Time elapsed: 0.149 s
% 27.05/4.06  % (27628)Instructions burned: 109 (million)
% 27.05/4.06  % (27628)------------------------------
% 27.05/4.06  % (27628)------------------------------
% 27.05/4.06  % (27620)Instruction limit reached!
% 27.05/4.06  % (27620)------------------------------
% 27.05/4.06  % (27620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.05/4.06  % (27620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.05/4.06  % (27620)Termination reason: Unknown
% 27.05/4.06  % (27620)Termination phase: Saturation
% 27.05/4.06  
% 27.05/4.06  % (27620)Memory used [KB]: 3326
% 27.05/4.06  % (27620)Time elapsed: 0.278 s
% 27.05/4.06  % (27620)Instructions burned: 254 (million)
% 27.05/4.06  % (27620)------------------------------
% 27.05/4.06  % (27620)------------------------------
% 27.05/4.10  % (27630)dis+1003_1:1_bce=on:fs=off:fsr=off:gs=on:newcnf=on:plsq=on:plsqr=32,1:skr=on:sos=on:sp=frequency:spb=units:i=660:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/660Mi)
% 27.54/4.12  % (27631)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=982:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/982Mi)
% 27.54/4.13  % (27632)dis+1011_39044:804583_anc=all:avsq=on:avsqr=302,909:awrs=decay:awrsf=20:bd=off:bsr=on:cond=on:gsp=on:nm=0:nwc=2.0:plsq=on:plsqr=9,13:s2a=on:s2agt=16:sac=on:thsq=on:thsqc=32:thsqd=32:thsql=off:to=lpo:updr=off:uwa=all:i=1174:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/1174Mi)
% 27.54/4.13  % (27633)dis+1003_1:128_avsq=on:bce=on:newcnf=on:urr=on:i=91:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/91Mi)
% 27.54/4.15  % (27630)Refutation not found, incomplete strategy% (27630)------------------------------
% 27.54/4.15  % (27630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.54/4.15  % (27630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.54/4.15  % (27630)Termination reason: Refutation not found, incomplete strategy
% 27.54/4.15  
% 27.54/4.15  % (27630)Memory used [KB]: 12025
% 27.54/4.15  % (27630)Time elapsed: 0.017 s
% 27.54/4.15  % (27630)Instructions burned: 35 (million)
% 27.54/4.15  % (27630)------------------------------
% 27.54/4.15  % (27630)------------------------------
% 27.85/4.17  % (27497)Instruction limit reached!
% 27.85/4.17  % (27497)------------------------------
% 27.85/4.17  % (27497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.85/4.17  % (27606)Instruction limit reached!
% 27.85/4.17  % (27606)------------------------------
% 27.85/4.17  % (27606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.85/4.17  % (27606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.85/4.17  % (27606)Termination reason: Unknown
% 27.85/4.17  % (27606)Termination phase: Saturation
% 27.85/4.17  
% 27.85/4.17  % (27606)Memory used [KB]: 9083
% 27.85/4.17  % (27606)Time elapsed: 0.674 s
% 27.85/4.17  % (27606)Instructions burned: 471 (million)
% 27.85/4.17  % (27606)------------------------------
% 27.85/4.17  % (27606)------------------------------
% 27.85/4.17  % (27273)Instruction limit reached!
% 27.85/4.17  % (27273)------------------------------
% 27.85/4.17  % (27273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.85/4.17  % (27273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.85/4.17  % (27273)Termination reason: Unknown
% 27.85/4.17  % (27273)Termination phase: Saturation
% 27.85/4.17  
% 27.85/4.17  % (27273)Memory used [KB]: 5884
% 27.85/4.17  % (27273)Time elapsed: 1.580 s
% 27.85/4.17  % (27273)Instructions burned: 1488 (million)
% 27.85/4.17  % (27273)------------------------------
% 27.85/4.17  % (27273)------------------------------
% 27.85/4.17  % (27497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.85/4.17  % (27497)Termination reason: Unknown
% 27.85/4.18  % (27497)Termination phase: Saturation
% 27.85/4.18  
% 27.85/4.18  % (27497)Memory used [KB]: 8699
% 27.85/4.18  % (27497)Time elapsed: 0.685 s
% 27.85/4.18  % (27497)Instructions burned: 779 (million)
% 27.85/4.18  % (27497)------------------------------
% 27.85/4.18  % (27497)------------------------------
% 27.85/4.18  % (27634)dis+10_1:1_ep=R:fde=none:fsr=off:slsq=on:slsqc=1:slsql=off:slsqr=1,4:ss=axioms:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/248Mi)
% 27.85/4.18  % (27634)Refutation not found, incomplete strategy% (27634)------------------------------
% 27.85/4.18  % (27634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.85/4.18  % (27634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.85/4.18  % (27634)Termination reason: Refutation not found, incomplete strategy
% 27.85/4.18  
% 27.85/4.18  % (27634)Memory used [KB]: 6268
% 27.85/4.18  % (27634)Time elapsed: 0.003 s
% 27.85/4.18  % (27634)Instructions burned: 1 (million)
% 27.85/4.18  % (27634)------------------------------
% 27.85/4.18  % (27634)------------------------------
% 27.85/4.20  % (27635)fmb+10_1:1_fde=unused:fmbas=predicate:gsp=on:newcnf=on:nm=0:i=1985:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/1985Mi)
% 27.85/4.20  % (27531)Instruction limit reached!
% 27.85/4.20  % (27531)------------------------------
% 27.85/4.20  % (27531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.85/4.20  % (27531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.85/4.20  % (27531)Termination reason: Unknown
% 27.85/4.20  % (27531)Termination phase: Saturation
% 27.85/4.20  
% 27.85/4.20  % (27531)Memory used [KB]: 4221
% 27.85/4.20  % (27531)Time elapsed: 0.914 s
% 27.85/4.20  % (27531)Instructions burned: 1277 (million)
% 27.85/4.20  % (27531)------------------------------
% 27.85/4.20  % (27531)------------------------------
% 27.85/4.22  % (27633)Instruction limit reached!
% 27.85/4.22  % (27633)------------------------------
% 27.85/4.22  % (27633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.85/4.22  % (27633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.85/4.22  % (27633)Termination reason: Unknown
% 27.85/4.22  % (27633)Termination phase: Saturation
% 27.85/4.22  
% 27.85/4.22  % (27633)Memory used [KB]: 7931
% 27.85/4.22  % (27633)Time elapsed: 0.129 s
% 27.85/4.22  % (27633)Instructions burned: 92 (million)
% 27.85/4.22  % (27633)------------------------------
% 27.85/4.22  % (27633)------------------------------
% 28.45/4.26  % (27639)ott+11_4:1_br=off:fde=unused:nm=16:s2a=on:sd=3:sp=frequency:ss=axioms:urr=on:i=5368:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/5368Mi)
% 28.45/4.26  % (27611)Instruction limit reached!
% 28.45/4.26  % (27611)------------------------------
% 28.45/4.26  % (27611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.45/4.26  % (27611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.45/4.26  % (27611)Termination reason: Unknown
% 28.45/4.26  % (27611)Termination phase: Saturation
% 28.45/4.26  
% 28.45/4.26  % (27611)Memory used [KB]: 9338
% 28.45/4.26  % (27611)Time elapsed: 0.654 s
% 28.45/4.26  % (27611)Instructions burned: 370 (million)
% 28.45/4.26  % (27611)------------------------------
% 28.45/4.26  % (27611)------------------------------
% 28.45/4.26  % (27639)Refutation not found, incomplete strategy% (27639)------------------------------
% 28.45/4.26  % (27639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.45/4.26  % (27639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.45/4.26  % (27639)Termination reason: Refutation not found, incomplete strategy
% 28.45/4.26  
% 28.45/4.26  % (27639)Memory used [KB]: 6268
% 28.45/4.26  % (27639)Time elapsed: 0.005 s
% 28.45/4.26  % (27639)Instructions burned: 2 (million)
% 28.45/4.26  % (27639)------------------------------
% 28.45/4.26  % (27639)------------------------------
% 28.45/4.27  % (27636)lrs+1002_1:1_sd=2:sos=on:ss=axioms:st=5.0:i=555:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/555Mi)
% 28.45/4.28  % (27636)Refutation not found, incomplete strategy% (27636)------------------------------
% 28.45/4.28  % (27636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.70/4.29  % (27636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.70/4.29  % (27636)Termination reason: Refutation not found, incomplete strategy
% 28.70/4.29  
% 28.70/4.29  % (27636)Memory used [KB]: 6268
% 28.70/4.29  % (27636)Time elapsed: 0.003 s
% 28.70/4.29  % (27636)Instructions burned: 1 (million)
% 28.70/4.29  % (27636)------------------------------
% 28.70/4.29  % (27636)------------------------------
% 28.70/4.29  % (27642)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=6912:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/6912Mi)
% 28.70/4.29  % (27642)Refutation not found, incomplete strategy% (27642)------------------------------
% 28.70/4.29  % (27642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.70/4.29  % (27642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.70/4.29  % (27642)Termination reason: Refutation not found, incomplete strategy
% 28.70/4.29  
% 28.70/4.29  % (27642)Memory used [KB]: 6268
% 28.70/4.29  % (27642)Time elapsed: 0.004 s
% 28.70/4.29  % (27642)Instructions burned: 1 (million)
% 28.70/4.29  % (27642)------------------------------
% 28.70/4.29  % (27642)------------------------------
% 28.70/4.30  % (27640)ott+4_8:1_acc=on:fsr=off:lcm=reverse:lma=on:sd=2:sos=all:ss=axioms:st=1.5:i=121:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/121Mi)
% 28.70/4.30  % (27640)Refutation not found, incomplete strategy% (27640)------------------------------
% 28.70/4.30  % (27640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.70/4.30  % (27640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.70/4.30  % (27640)Termination reason: Refutation not found, incomplete strategy
% 28.70/4.30  
% 28.70/4.30  % (27640)Memory used [KB]: 6268
% 28.70/4.30  % (27640)Time elapsed: 0.002 s
% 28.70/4.30  % (27640)Instructions burned: 2 (million)
% 28.70/4.30  % (27640)------------------------------
% 28.70/4.30  % (27640)------------------------------
% 28.70/4.31  % (27637)lrs+1011_2:1_add=off:amm=sco:anc=none:br=off:sd=1:sos=all:ss=axioms:st=1.5:updr=off:urr=on:i=484:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/484Mi)
% 28.70/4.31  % (27637)Refutation not found, incomplete strategy% (27637)------------------------------
% 28.70/4.31  % (27637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.70/4.31  % (27637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.70/4.31  % (27637)Termination reason: Refutation not found, incomplete strategy
% 28.70/4.31  
% 28.70/4.31  % (27637)Memory used [KB]: 6268
% 28.70/4.31  % (27637)Time elapsed: 0.002 s
% 28.70/4.31  % (27637)Instructions burned: 2 (million)
% 28.70/4.31  % (27637)------------------------------
% 28.70/4.31  % (27637)------------------------------
% 28.70/4.32  % (27638)lrs+1011_1:5_add=large:afp=4000:anc=none:irw=on:lma=on:nm=64:sac=on:sd=3:sos=on:sp=reverse_arity:ss=axioms:st=2.0:stl=30:updr=off:urr=on:i=362:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/362Mi)
% 28.70/4.32  % (27638)Refutation not found, incomplete strategy% (27638)------------------------------
% 28.70/4.32  % (27638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.70/4.32  % (27638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.70/4.32  % (27638)Termination reason: Refutation not found, incomplete strategy
% 28.70/4.32  
% 28.70/4.32  % (27638)Memory used [KB]: 6268
% 28.70/4.32  % (27638)Time elapsed: 0.002 s
% 28.70/4.32  % (27638)Instructions burned: 2 (million)
% 28.70/4.32  % (27638)------------------------------
% 28.70/4.32  % (27638)------------------------------
% 29.04/4.33  % (27641)lrs+1011_1:1_afq=1.4:bd=off:cond=fast:fde=unused:gs=on:gsem=off:irw=on:lma=on:sd=2:sos=all:sp=const_min:ss=axioms:stl=40:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/256Mi)
% 29.04/4.33  % (27641)Refutation not found, incomplete strategy% (27641)------------------------------
% 29.04/4.33  % (27641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.04/4.33  % (27641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.04/4.33  % (27641)Termination reason: Refutation not found, incomplete strategy
% 29.04/4.33  
% 29.04/4.33  % (27641)Memory used [KB]: 10746
% 29.04/4.33  % (27641)Time elapsed: 0.002 s
% 29.04/4.33  % (27641)Instructions burned: 2 (million)
% 29.04/4.33  % (27641)------------------------------
% 29.04/4.33  % (27641)------------------------------
% 29.04/4.33  % (27643)dis+10_3:2_br=off:sas=z3:sd=3:sos=all:ss=axioms:st=3.0:urr=on:i=525:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/525Mi)
% 29.17/4.35  % (27644)lrs+1002_1:1_amm=off:cond=on:sd=3:sos=on:ss=axioms:st=1.5:i=600:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/600Mi)
% 29.17/4.35  % (27644)Refutation not found, incomplete strategy% (27644)------------------------------
% 29.17/4.35  % (27644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.17/4.35  % (27644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.17/4.35  % (27644)Termination reason: Refutation not found, incomplete strategy
% 29.17/4.35  
% 29.17/4.35  % (27644)Memory used [KB]: 6268
% 29.17/4.35  % (27644)Time elapsed: 0.002 s
% 29.17/4.35  % (27644)Instructions burned: 2 (million)
% 29.17/4.35  % (27644)------------------------------
% 29.17/4.35  % (27644)------------------------------
% 29.17/4.38  % (27643)Refutation not found, incomplete strategy% (27643)------------------------------
% 29.17/4.38  % (27643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.17/4.38  % (27643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.17/4.38  % (27643)Termination reason: Refutation not found, incomplete strategy
% 29.17/4.38  
% 29.17/4.38  % (27643)Memory used [KB]: 1791
% 29.17/4.38  % (27643)Time elapsed: 0.034 s
% 29.17/4.38  % (27643)Instructions burned: 50 (million)
% 29.17/4.38  % (27643)------------------------------
% 29.17/4.38  % (27643)------------------------------
% 29.17/4.39  % (27646)lrs+1002_1:1_bd=off:sd=2:sos=on:ss=axioms:st=2.0:i=4344:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/4344Mi)
% 29.17/4.39  % (27646)Refutation not found, incomplete strategy% (27646)------------------------------
% 29.17/4.39  % (27646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.17/4.39  % (27646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.17/4.39  % (27646)Termination reason: Refutation not found, incomplete strategy
% 29.17/4.39  
% 29.17/4.39  % (27646)Memory used [KB]: 6268
% 29.17/4.39  % (27646)Time elapsed: 0.004 s
% 29.17/4.39  % (27646)Instructions burned: 1 (million)
% 29.17/4.39  % (27646)------------------------------
% 29.17/4.39  % (27646)------------------------------
% 29.17/4.39  % (27647)lrs+10_1:1_av=off:gs=on:sd=2:sos=all:ss=axioms:st=2.0:i=873:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/873Mi)
% 29.17/4.39  % (27647)Refutation not found, incomplete strategy% (27647)------------------------------
% 29.17/4.39  % (27647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.17/4.39  % (27647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.17/4.39  % (27647)Termination reason: Refutation not found, incomplete strategy
% 29.17/4.39  
% 29.17/4.39  % (27647)Memory used [KB]: 6268
% 29.17/4.39  % (27647)Time elapsed: 0.003 s
% 29.17/4.39  % (27647)Instructions burned: 3 (million)
% 29.17/4.39  % (27647)------------------------------
% 29.17/4.39  % (27647)------------------------------
% 29.66/4.42  % (27645)dis+1011_1:1_av=off:ep=RSTC:rp=on:sos=on:i=723:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/723Mi)
% 29.66/4.44  % (27648)lrs+1010_1:128_nm=2:i=973:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/973Mi)
% 29.66/4.45  % (27629)Instruction limit reached!
% 29.66/4.45  % (27629)------------------------------
% 29.66/4.45  % (27629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.66/4.45  % (27629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.66/4.45  % (27629)Termination reason: Unknown
% 29.66/4.45  % (27629)Termination phase: Saturation
% 29.66/4.45  
% 29.66/4.45  % (27629)Memory used [KB]: 9083
% 29.66/4.45  % (27629)Time elapsed: 0.169 s
% 29.66/4.45  % (27629)Instructions burned: 362 (million)
% 29.66/4.45  % (27629)------------------------------
% 29.66/4.45  % (27629)------------------------------
% 29.66/4.45  % (27645)Refutation not found, incomplete strategy% (27645)------------------------------
% 29.66/4.45  % (27645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.66/4.45  % (27645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.66/4.45  % (27645)Termination reason: Refutation not found, incomplete strategy
% 29.66/4.45  
% 29.66/4.45  % (27645)Memory used [KB]: 2686
% 29.66/4.45  % (27645)Time elapsed: 0.012 s
% 29.66/4.45  % (27645)Instructions burned: 26 (million)
% 29.66/4.45  % (27645)------------------------------
% 29.66/4.45  % (27645)------------------------------
% 29.66/4.45  % (27649)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=98:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/98Mi)
% 29.66/4.45  % (27653)lrs+1011_1:64_fsd=on:nwc=2.0:ss=included:st=3.0:i=446:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/446Mi)
% 29.66/4.46  % (27654)dis+1011_2388710:563463_bce=on:ep=RS:erd=off:fs=off:fsr=off:sp=frequency:i=301:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/301Mi)
% 29.66/4.47  % (27650)ins+10_1:1_igbrr=1.0:igpr=on:igrp=4000:igrpq=1.5:igs=1010:i=911:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/911Mi)
% 30.50/4.48  TRYING [16]
% 30.50/4.49  % (27651)lrs+10_1:1024_aac=none:acc=model:anc=all_dependent:avsq=on:avsqc=1:avsqr=9,4:drc=off:fd=preordered:sac=on:urr=ec_only:i=3342:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/3342Mi)
% 30.50/4.50  % (27462)Instruction limit reached!
% 30.50/4.50  % (27462)------------------------------
% 30.50/4.50  % (27462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.50/4.50  % (27462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.50/4.50  % (27462)Termination reason: Unknown
% 30.50/4.50  % (27462)Termination phase: Saturation
% 30.50/4.50  
% 30.50/4.50  % (27462)Memory used [KB]: 10874
% 30.50/4.50  % (27462)Time elapsed: 1.377 s
% 30.50/4.50  % (27462)Instructions burned: 918 (million)
% 30.50/4.50  % (27462)------------------------------
% 30.50/4.50  % (27462)------------------------------
% 30.50/4.52  % (27626)Instruction limit reached!
% 30.50/4.52  % (27626)------------------------------
% 30.50/4.52  % (27626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.50/4.52  % (27652)lrs+10_1:1_sd=1:sos=on:spb=goal_then_units:ss=included:to=lpo:i=3417:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/3417Mi)
% 30.50/4.52  % (27626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.50/4.52  % (27626)Termination reason: Unknown
% 30.50/4.52  % (27626)Termination phase: Saturation
% 30.50/4.52  
% 30.50/4.52  % (27626)Memory used [KB]: 4093
% 30.50/4.52  % (27626)Time elapsed: 0.604 s
% 30.50/4.52  % (27626)Instructions burned: 608 (million)
% 30.50/4.52  % (27626)------------------------------
% 30.50/4.52  % (27626)------------------------------
% 30.50/4.55  % (27652)Refutation not found, incomplete strategy% (27652)------------------------------
% 30.50/4.55  % (27652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.16/4.56  % (27292)Instruction limit reached!
% 31.16/4.56  % (27292)------------------------------
% 31.16/4.56  % (27292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.16/4.56  % (27292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.16/4.56  % (27292)Termination reason: Unknown
% 31.16/4.56  % (27292)Termination phase: Saturation
% 31.16/4.56  
% 31.16/4.56  % (27292)Memory used [KB]: 14711
% 31.16/4.56  % (27292)Time elapsed: 0.826 s
% 31.16/4.56  % (27292)Instructions burned: 1737 (million)
% 31.16/4.56  % (27292)------------------------------
% 31.16/4.56  % (27292)------------------------------
% 31.16/4.56  % (27652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.16/4.56  % (27652)Termination reason: Refutation not found, incomplete strategy
% 31.16/4.56  
% 31.16/4.56  % (27652)Memory used [KB]: 7803
% 31.16/4.56  % (27652)Time elapsed: 0.019 s
% 31.16/4.56  % (27652)Instructions burned: 37 (million)
% 31.16/4.56  % (27652)------------------------------
% 31.16/4.56  % (27652)------------------------------
% 31.16/4.56  % (27619)Instruction limit reached!
% 31.16/4.56  % (27619)------------------------------
% 31.16/4.56  % (27619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.16/4.56  % (27619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.16/4.56  % (27619)Termination reason: Unknown
% 31.16/4.56  % (27619)Termination phase: Saturation
% 31.16/4.56  
% 31.16/4.56  % (27619)Memory used [KB]: 3582
% 31.16/4.56  % (27619)Time elapsed: 0.242 s
% 31.16/4.56  % (27619)Instructions burned: 670 (million)
% 31.16/4.56  % (27619)------------------------------
% 31.16/4.56  % (27619)------------------------------
% 31.16/4.57  % (27655)lrs+10_1:1_sd=4:sos=on:spb=goal:ss=axioms:st=3.7:to=lpo:urr=on:i=480:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/480Mi)
% 31.16/4.57  % (27509)Instruction limit reached!
% 31.16/4.57  % (27509)------------------------------
% 31.16/4.57  % (27509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.16/4.57  % (27509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.16/4.57  % (27509)Termination reason: Unknown
% 31.16/4.57  % (27509)Termination phase: Saturation
% 31.16/4.57  
% 31.16/4.57  % (27509)Memory used [KB]: 3709
% 31.16/4.57  % (27509)Time elapsed: 1.402 s
% 31.16/4.57  % (27509)Instructions burned: 1539 (million)
% 31.16/4.57  % (27509)------------------------------
% 31.16/4.57  % (27509)------------------------------
% 31.16/4.58  % (27656)lrs+1002_1:7_sos=on:i=1851:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/1851Mi)
% 31.41/4.60  % (27655)Refutation not found, incomplete strategy% (27655)------------------------------
% 31.41/4.60  % (27655)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.41/4.60  % (27655)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.41/4.60  % (27655)Termination reason: Refutation not found, incomplete strategy
% 31.41/4.60  
% 31.41/4.60  % (27655)Memory used [KB]: 6268
% 31.41/4.60  % (27655)Time elapsed: 0.002 s
% 31.41/4.60  % (27655)Instructions burned: 1 (million)
% 31.41/4.60  % (27655)------------------------------
% 31.41/4.60  % (27655)------------------------------
% 31.41/4.61  % (27649)Instruction limit reached!
% 31.41/4.61  % (27649)------------------------------
% 31.41/4.61  % (27649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.41/4.61  % (27649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.41/4.61  % (27649)Termination reason: Unknown
% 31.41/4.61  % (27649)Termination phase: Saturation
% 31.41/4.61  
% 31.41/4.61  % (27649)Memory used [KB]: 3326
% 31.41/4.61  % (27649)Time elapsed: 0.257 s
% 31.41/4.61  % (27649)Instructions burned: 99 (million)
% 31.41/4.61  % (27649)------------------------------
% 31.41/4.61  % (27649)------------------------------
% 31.70/4.64  % (27658)ott+10_1:1_br=off:fd=off:fde=unused:s2a=on:sd=2:sos=all:ss=axioms:st=2.0:to=lpo:urr=on:i=2282:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/2282Mi)
% 31.70/4.64  % (27658)Refutation not found, incomplete strategy% (27658)------------------------------
% 31.70/4.64  % (27658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.70/4.64  % (27658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.70/4.64  % (27658)Termination reason: Refutation not found, incomplete strategy
% 31.70/4.64  
% 31.70/4.64  % (27658)Memory used [KB]: 6268
% 31.70/4.64  % (27658)Time elapsed: 0.004 s
% 31.70/4.64  % (27658)Instructions burned: 1 (million)
% 31.70/4.64  % (27658)------------------------------
% 31.70/4.64  % (27658)------------------------------
% 31.70/4.64  % (27657)lrs+10_5:1_bce=on:bd=off:bsr=unit_only:s2a=on:sos=all:sp=reverse_arity:ss=axioms:st=2.0:to=lpo:urr=on:i=598:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/598Mi)
% 31.70/4.64  % (27657)Refutation not found, incomplete strategy% (27657)------------------------------
% 31.70/4.64  % (27657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.70/4.64  % (27657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.70/4.64  % (27657)Termination reason: Refutation not found, incomplete strategy
% 31.70/4.64  
% 31.70/4.64  % (27657)Memory used [KB]: 6268
% 31.70/4.64  % (27657)Time elapsed: 0.002 s
% 31.70/4.64  % (27657)Instructions burned: 2 (million)
% 31.70/4.64  % (27657)------------------------------
% 31.70/4.64  % (27657)------------------------------
% 31.70/4.65  % (27656)Refutation not found, incomplete strategy% (27656)------------------------------
% 31.70/4.65  % (27656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.70/4.65  % (27656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.70/4.65  % (27656)Termination reason: Refutation not found, incomplete strategy
% 31.70/4.65  
% 31.70/4.65  % (27656)Memory used [KB]: 7675
% 31.70/4.65  % (27656)Time elapsed: 0.019 s
% 31.70/4.65  % (27656)Instructions burned: 37 (million)
% 31.70/4.65  % (27656)------------------------------
% 31.70/4.65  % (27656)------------------------------
% 31.70/4.67  % (27660)dis+1010_1:7_awrs=converge:bd=preordered:fsr=off:ins=1:s2a=on:sos=on:i=595:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/595Mi)
% 31.70/4.69  % (27659)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=2179:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/2179Mi)
% 31.70/4.69  % (27659)Refutation not found, incomplete strategy% (27659)------------------------------
% 31.70/4.69  % (27659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.70/4.69  % (27659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.70/4.69  % (27659)Termination reason: Refutation not found, incomplete strategy
% 31.70/4.69  
% 31.70/4.69  % (27659)Memory used [KB]: 6268
% 31.70/4.69  % (27659)Time elapsed: 0.001 s
% 31.70/4.69  % (27659)------------------------------
% 31.70/4.69  % (27659)------------------------------
% 32.17/4.70  % (27576)Instruction limit reached!
% 32.17/4.70  % (27576)------------------------------
% 32.17/4.70  % (27576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.17/4.70  % (27576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.17/4.70  % (27576)Termination reason: Unknown
% 32.17/4.70  % (27576)Termination phase: Saturation
% 32.17/4.70  
% 32.17/4.70  % (27576)Memory used [KB]: 3709
% 32.17/4.70  % (27576)Time elapsed: 0.419 s
% 32.17/4.70  % (27576)Instructions burned: 1114 (million)
% 32.17/4.70  % (27576)------------------------------
% 32.17/4.70  % (27576)------------------------------
% 32.17/4.71  % (27661)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=776:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/776Mi)
% 32.17/4.71  % (27662)lrs+10_1:1_bce=on:ep=RST:gsp=on:sd=1:sos=on:ss=axioms:urr=on:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/138Mi)
% 32.17/4.71  % (27662)Refutation not found, incomplete strategy% (27662)------------------------------
% 32.17/4.71  % (27662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.17/4.71  % (27662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.17/4.71  % (27662)Termination reason: Refutation not found, incomplete strategy
% 32.17/4.71  
% 32.17/4.71  % (27662)Memory used [KB]: 6268
% 32.17/4.71  % (27662)Time elapsed: 0.001 s
% 32.17/4.71  % (27662)Instructions burned: 1 (million)
% 32.17/4.71  % (27662)------------------------------
% 32.17/4.71  % (27662)------------------------------
% 32.17/4.72  % (27318)First to succeed.
% 32.17/4.72  % (27660)Refutation not found, incomplete strategy% (27660)------------------------------
% 32.17/4.72  % (27660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.17/4.73  % (27663)lrs+1002_1:1_aac=none:avsq=on:avsqc=1:bd=off:newcnf=on:nm=4:nwc=5.0:s2a=on:sac=on:i=1679:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/1679Mi)
% 32.17/4.73  % (27660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.17/4.73  % (27660)Termination reason: Refutation not found, incomplete strategy
% 32.17/4.73  
% 32.17/4.73  % (27660)Memory used [KB]: 7931
% 32.17/4.73  % (27660)Time elapsed: 0.021 s
% 32.17/4.73  % (27660)Instructions burned: 43 (million)
% 32.17/4.73  % (27660)------------------------------
% 32.17/4.73  % (27660)------------------------------
% 32.17/4.74  % (27664)lrs+1010_10:13_abs=on:amm=off:anc=none:avsq=on:avsqc=1:avsqr=12,23:bsr=on:cond=on:drc=off:fd=preordered:fde=none:flr=on:fsr=off:gs=on:gsaa=full_model:gsem=off:ins=3:lcm=reverse:nwc=5.0:sas=z3:sims=off:skr=on:sos=on:sp=frequency:spb=units:to=lpo:updr=off:urr=on:i=774:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/774Mi)
% 32.17/4.75  % (27665)dis+10_1:1_av=off:ep=R:erd=off:gsp=on:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:spb=goal_then_units:to=lpo:i=936:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/936Mi)
% 32.57/4.77  % (27661)Refutation not found, incomplete strategy% (27661)------------------------------
% 32.57/4.77  % (27661)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.57/4.77  % (27661)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.57/4.77  % (27661)Termination reason: Refutation not found, incomplete strategy
% 32.57/4.77  
% 32.57/4.77  % (27661)Memory used [KB]: 3326
% 32.57/4.77  % (27661)Time elapsed: 0.017 s
% 32.57/4.77  % (27661)Instructions burned: 34 (million)
% 32.57/4.77  % (27661)------------------------------
% 32.57/4.77  % (27661)------------------------------
% 32.57/4.77  % (27667)lrs+1002_1:1_atotf=0.3:avsq=on:avsqr=55,124:cond=on:nm=3:plsq=on:plsqc=1:plsql=on:plsqr=32,1:i=167:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/167Mi)
% 32.57/4.78  % (27665)Refutation not found, incomplete strategy% (27665)------------------------------
% 32.57/4.78  % (27665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.57/4.78  % (27668)dis+10_1:1024_awrs=converge:s2a=on:s2at=3.0:ss=included:st=1.5:urr=on:i=557:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/557Mi)
% 32.57/4.78  % (27665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.57/4.78  % (27665)Termination reason: Refutation not found, incomplete strategy
% 32.57/4.78  
% 32.57/4.78  % (27665)Memory used [KB]: 2814
% 32.57/4.78  % (27665)Time elapsed: 0.083 s
% 32.57/4.78  % (27665)Instructions burned: 34 (million)
% 32.57/4.78  % (27665)------------------------------
% 32.57/4.78  % (27665)------------------------------
% 32.57/4.80  % (27625)Instruction limit reached!
% 32.57/4.80  % (27625)------------------------------
% 32.57/4.80  % (27625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.57/4.80  % (27625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.57/4.80  % (27625)Termination reason: Unknown
% 32.57/4.80  % (27625)Termination phase: Saturation
% 32.57/4.80  
% 32.57/4.80  % (27625)Memory used [KB]: 9850
% 32.57/4.80  % (27625)Time elapsed: 0.961 s
% 32.57/4.80  % (27625)Instructions burned: 562 (million)
% 32.57/4.80  % (27625)------------------------------
% 32.57/4.80  % (27625)------------------------------
% 32.57/4.82  % (27669)dis+1002_1:1_av=off:dr=on:ep=RS:mep=off:newcnf=on:nm=2:nwc=10.0:s2a=on:slsq=on:slsqc=0:slsqr=1,8:i=258:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/258Mi)
% 32.57/4.84  % (27670)dis+1011_1:2_abs=on:avsq=on:avsqc=2:bce=on:bsr=unit_only:cond=fast:ep=RS:erd=off:newcnf=on:s2a=on:urr=ec_only:i=941:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/941Mi)
% 32.57/4.84  % (27654)Instruction limit reached!
% 32.57/4.84  % (27654)------------------------------
% 32.57/4.84  % (27654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.57/4.84  % (27654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.57/4.84  % (27654)Termination reason: Unknown
% 32.57/4.84  % (27654)Termination phase: Saturation
% 32.57/4.84  
% 32.57/4.84  % (27654)Memory used [KB]: 10234
% 32.57/4.84  % (27654)Time elapsed: 0.377 s
% 32.57/4.84  % (27654)Instructions burned: 301 (million)
% 32.57/4.84  % (27654)------------------------------
% 32.57/4.84  % (27654)------------------------------
% 32.57/4.84  % (27671)dis+10_2:1_abs=on:fde=none:lcm=reverse:nwc=2.0:plsq=on:plsqc=1:plsql=on:plsqr=4095,256:s2a=on:sac=on:sp=reverse_arity:i=2311:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/2311Mi)
% 32.57/4.86  % (27672)dis+1002_1:1_ep=RS:erd=off:sac=on:sos=on:i=190:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/190Mi)
% 33.18/4.87  % (27669)Refutation not found, incomplete strategy% (27669)------------------------------
% 33.18/4.87  % (27669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.18/4.87  % (27669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.18/4.87  % (27669)Termination reason: Refutation not found, incomplete strategy
% 33.18/4.87  
% 33.18/4.87  % (27669)Memory used [KB]: 2686
% 33.18/4.87  % (27669)Time elapsed: 0.163 s
% 33.18/4.87  % (27669)Instructions burned: 41 (million)
% 33.18/4.87  % (27669)------------------------------
% 33.18/4.87  % (27669)------------------------------
% 33.18/4.88  % (27664)Refutation not found, incomplete strategy% (27664)------------------------------
% 33.18/4.88  % (27664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.18/4.88  % (27664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.18/4.88  % (27664)Termination reason: Refutation not found, incomplete strategy
% 33.18/4.88  
% 33.18/4.88  % (27664)Memory used [KB]: 7803
% 33.18/4.88  % (27664)Time elapsed: 0.038 s
% 33.18/4.88  % (27664)Instructions burned: 82 (million)
% 33.18/4.88  % (27664)------------------------------
% 33.18/4.88  % (27664)------------------------------
% 33.18/4.88  % (27674)lrs+10_1:1_amm=off:br=off:nwc=5.0:sfv=off:sos=all:ss=axioms:to=lpo:urr=ec_only:i=305:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/305Mi)
% 33.18/4.88  % (27674)Refutation not found, incomplete strategy% (27674)------------------------------
% 33.18/4.88  % (27674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.18/4.89  % (27674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.18/4.89  % (27674)Termination reason: Refutation not found, incomplete strategy
% 33.18/4.89  
% 33.18/4.89  % (27674)Memory used [KB]: 6268
% 33.18/4.89  % (27674)Time elapsed: 0.004 s
% 33.18/4.89  % (27674)Instructions burned: 1 (million)
% 33.18/4.89  % (27674)------------------------------
% 33.18/4.89  % (27674)------------------------------
% 33.18/4.89  % (27672)Refutation not found, incomplete strategy% (27672)------------------------------
% 33.18/4.89  % (27672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.18/4.89  % (27672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.18/4.89  % (27672)Termination reason: Refutation not found, incomplete strategy
% 33.18/4.89  
% 33.18/4.89  % (27672)Memory used [KB]: 7164
% 33.18/4.89  % (27672)Time elapsed: 0.012 s
% 33.18/4.89  % (27672)Instructions burned: 27 (million)
% 33.18/4.89  % (27672)------------------------------
% 33.18/4.89  % (27672)------------------------------
% 33.55/4.90  % (27673)lrs+1010_1:1_sd=1:sos=on:sp=frequency:ss=included:to=lpo:i=319:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/319Mi)
% 33.55/4.91  % (27653)Instruction limit reached!
% 33.55/4.91  % (27653)------------------------------
% 33.55/4.91  % (27653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.55/4.91  % (27653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.55/4.91  % (27653)Termination reason: Unknown
% 33.55/4.91  % (27653)Termination phase: Saturation
% 33.55/4.91  
% 33.55/4.91  % (27653)Memory used [KB]: 9466
% 33.55/4.91  % (27653)Time elapsed: 0.284 s
% 33.55/4.91  % (27653)Instructions burned: 446 (million)
% 33.55/4.91  % (27653)------------------------------
% 33.55/4.91  % (27653)------------------------------
% 33.55/4.92  % (27392)Instruction limit reached!
% 33.55/4.92  % (27392)------------------------------
% 33.55/4.92  % (27392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.55/4.92  % (27392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.55/4.92  % (27392)Termination reason: Unknown
% 33.55/4.92  % (27392)Termination phase: Saturation
% 33.55/4.92  
% 33.55/4.92  % (27392)Memory used [KB]: 17782
% 33.55/4.92  % (27392)Time elapsed: 1.946 s
% 33.55/4.92  % (27392)Instructions burned: 1024 (million)
% 33.55/4.92  % (27392)------------------------------
% 33.55/4.92  % (27392)------------------------------
% 33.55/4.92  % (27670)Refutation not found, incomplete strategy% (27670)------------------------------
% 33.55/4.92  % (27670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.55/4.92  % (27670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.55/4.92  % (27670)Termination reason: Refutation not found, incomplete strategy
% 33.55/4.92  
% 33.55/4.92  % (27670)Memory used [KB]: 7675
% 33.55/4.92  % (27670)Time elapsed: 0.199 s
% 33.55/4.92  % (27670)Instructions burned: 52 (million)
% 33.55/4.92  % (27670)------------------------------
% 33.55/4.92  % (27670)------------------------------
% 33.81/4.93  % (27318)Refutation found. Thanks to Tanya!
% 33.81/4.93  % SZS status Unsatisfiable for theBenchmark
% 33.81/4.93  % SZS output start Proof for theBenchmark
% See solution above
% 33.83/4.95  % (27318)------------------------------
% 33.83/4.95  % (27318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.83/4.95  % (27318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.83/4.95  % (27318)Termination reason: Refutation
% 33.83/4.95  
% 33.83/4.95  % (27318)Memory used [KB]: 6908
% 33.83/4.95  % (27318)Time elapsed: 1.400 s
% 33.83/4.95  % (27318)Instructions burned: 1610 (million)
% 33.83/4.95  % (27318)------------------------------
% 33.83/4.95  % (27318)------------------------------
% 33.83/4.95  % (27095)Success in time 4.606 s
%------------------------------------------------------------------------------